d: 2 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2] Pell solution, x^2- 2 y^2= -1 : [1, 1] ---------- 2 cycle: [[1, 2, -1], [-1, 2, 1]] (m)c.f.e: [-2, 2] number of reduced forms: 2 partition: [2] ============================== d: 3 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2] Pell solution, x^2- 3 y^2= 1 : [2, 1] ---------- 2 cycle: [[1, 2, -2], [-2, 2, 1]] (m)c.f.e: [-1, 2] 2 cycle: [[-1, 2, 2], [2, 2, -1]] (m)c.f.e: [1, -2] number of reduced forms: 4 partition: [2, 2] ============================== d: 5 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4] Pell solution, x^2- 5 y^2= -1 : [2, 1] ---------- 2 cycle: [[1, 1, -1], [-1, 1, 1]] (m)c.f.e: [-1, 1] number of reduced forms: 2 partition: [2] ============================== d: 6 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4] Pell solution, x^2- 6 y^2= 1 : [5, 2] ---------- 2 cycle: [[1, 4, -2], [-2, 4, 1]] (m)c.f.e: [-2, 4] 2 cycle: [[-1, 4, 2], [2, 4, -1]] (m)c.f.e: [2, -4] number of reduced forms: 4 partition: [2, 2] ============================== d: 7 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4] Pell solution, x^2- 7 y^2= 1 : [8, 3] ---------- 4 cycle: [[2, 2, -3], [-3, 4, 1], [1, 4, -3], [-3, 2, 2]] (m)c.f.e: [-1, 4, -1, 1] 4 cycle: [[-2, 2, 3], [3, 4, -1], [-1, 4, 3], [3, 2, -2]] (m)c.f.e: [1, -4, 1, -1] number of reduced forms: 8 partition: [4, 4] ============================== d: 10 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [6] Pell solution, x^2- 10 y^2= -1 : [3, 1] ---------- 6 cycle: [[3, 2, -3], [-3, 4, 2], [2, 4, -3], [-3, 2, 3], [3, 4, -2], [-2, 4, 3]] (m)c.f.e: [-1, 2, -1, 1, -2, 1] 2 cycle: [[1, 6, -1], [-1, 6, 1]] (m)c.f.e: [-6, 6] number of reduced forms: 8 partition: [2, 6] ============================== d: 11 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 6] Pell solution, x^2- 11 y^2= 1 : [10, 3] ---------- 2 cycle: [[1, 6, -2], [-2, 6, 1]] (m)c.f.e: [-3, 6] 2 cycle: [[-1, 6, 2], [2, 6, -1]] (m)c.f.e: [3, -6] number of reduced forms: 4 partition: [2, 2] ============================== d: 13 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 6] Pell solution, x^2- 13 y^2= -1 : [18, 5] ---------- 2 cycle: [[1, 3, -1], [-1, 3, 1]] (m)c.f.e: [-3, 3] number of reduced forms: 2 partition: [2] ============================== d: 14 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 6] Pell solution, x^2- 14 y^2= 1 : [15, 4] ---------- 4 cycle: [[2, 4, -5], [-5, 6, 1], [1, 6, -5], [-5, 4, 2]] (m)c.f.e: [-1, 6, -1, 2] 4 cycle: [[-2, 4, 5], [5, 6, -1], [-1, 6, 5], [5, 4, -2]] (m)c.f.e: [1, -6, 1, -2] number of reduced forms: 8 partition: [4, 4] ============================== d: 15 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6] Pell solution, x^2- 15 y^2= 1 : [4, 1] ---------- 2 cycle: [[1, 6, -6], [-6, 6, 1]] (m)c.f.e: [-1, 6] 2 cycle: [[-1, 6, 6], [6, 6, -1]] (m)c.f.e: [1, -6] 2 cycle: [[2, 6, -3], [-3, 6, 2]] (m)c.f.e: [-2, 3] 2 cycle: [[-2, 6, 3], [3, 6, -2]] (m)c.f.e: [2, -3] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 17 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [8] Pell solution, x^2- 17 y^2= -1 : [4, 1] ---------- 6 cycle: [[2, 1, -2], [-2, 3, 1], [1, 3, -2], [-2, 1, 2], [2, 3, -1], [-1, 3, 2]] (m)c.f.e: [-1, 3, -1, 1, -3, 1] number of reduced forms: 6 partition: [6] ============================== d: 19 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 3, 1, 2, 8] Pell solution, x^2- 19 y^2= 1 : [170, 39] ---------- 6 cycle: [[3, 4, -5], [-5, 6, 2], [2, 6, -5], [-5, 4, 3], [3, 8, -1], [-1, 8, 3]] (m)c.f.e: [-1, 3, -1, 2, -8, 2] 6 cycle: [[-3, 4, 5], [5, 6, -2], [-2, 6, 5], [5, 4, -3], [-3, 8, 1], [1, 8, -3]] (m)c.f.e: [1, -3, 1, -2, 8, -2] number of reduced forms: 12 partition: [6, 6] ============================== d: 21 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 1, 8] Pell solution, x^2- 21 y^2= 1 : [55, 12] ---------- 2 cycle: [[1, 3, -3], [-3, 3, 1]] (m)c.f.e: [-1, 3] 2 cycle: [[-1, 3, 3], [3, 3, -1]] (m)c.f.e: [1, -3] number of reduced forms: 4 partition: [2, 2] ============================== d: 22 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 4, 2, 1, 8] Pell solution, x^2- 22 y^2= 1 : [197, 42] ---------- 6 cycle: [[3, 4, -6], [-6, 8, 1], [1, 8, -6], [-6, 4, 3], [3, 8, -2], [-2, 8, 3]] (m)c.f.e: [-1, 8, -1, 2, -4, 2] 6 cycle: [[-3, 4, 6], [6, 8, -1], [-1, 8, 6], [6, 4, -3], [-3, 8, 2], [2, 8, -3]] (m)c.f.e: [1, -8, 1, -2, 4, -2] number of reduced forms: 12 partition: [6, 6] ============================== d: 23 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 8] Pell solution, x^2- 23 y^2= 1 : [24, 5] ---------- 4 cycle: [[2, 6, -7], [-7, 8, 1], [1, 8, -7], [-7, 6, 2]] (m)c.f.e: [-1, 8, -1, 3] 4 cycle: [[-2, 6, 7], [7, 8, -1], [-1, 8, 7], [7, 6, -2]] (m)c.f.e: [1, -8, 1, -3] number of reduced forms: 8 partition: [4, 4] ============================== d: 26 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [10] Pell solution, x^2- 26 y^2= -1 : [5, 1] ---------- 6 cycle: [[5, 2, -5], [-5, 8, 2], [2, 8, -5], [-5, 2, 5], [5, 8, -2], [-2, 8, 5]] (m)c.f.e: [-1, 4, -1, 1, -4, 1] 2 cycle: [[1, 10, -1], [-1, 10, 1]] (m)c.f.e: [-10, 10] number of reduced forms: 8 partition: [2, 6] ============================== d: 29 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 2, 10] Pell solution, x^2- 29 y^2= -1 : [70, 13] ---------- 2 cycle: [[1, 5, -1], [-1, 5, 1]] (m)c.f.e: [-5, 5] number of reduced forms: 2 partition: [2] ============================== d: 30 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 10] Pell solution, x^2- 30 y^2= 1 : [11, 2] ---------- 4 cycle: [[3, 6, -7], [-7, 8, 2], [2, 8, -7], [-7, 6, 3]] (m)c.f.e: [-1, 4, -1, 2] 4 cycle: [[-3, 6, 7], [7, 8, -2], [-2, 8, 7], [7, 6, -3]] (m)c.f.e: [1, -4, 1, -2] 2 cycle: [[1, 10, -5], [-5, 10, 1]] (m)c.f.e: [-2, 10] 2 cycle: [[-1, 10, 5], [5, 10, -1]] (m)c.f.e: [2, -10] number of reduced forms: 12 partition: [2, 2, 4, 4] ============================== d: 31 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 5, 3, 1, 1, 10] Pell solution, x^2- 31 y^2= 1 : [1520, 273] ---------- 8 cycle: [[5, 2, -6], [-6, 10, 1], [1, 10, -6], [-6, 2, 5], [5, 8, -3], [-3, 10, 2], [2, 10, -3], [-3, 8, 5]] (m)c.f.e: [-1, 10, -1, 1, -3, 5, -3, 1] 8 cycle: [[-5, 2, 6], [6, 10, -1], [-1, 10, 6], [6, 2, -5], [-5, 8, 3], [3, 10, -2], [-2, 10, 3], [3, 8, -5]] (m)c.f.e: [1, -10, 1, -1, 3, -5, 3, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 33 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 10] Pell solution, x^2- 33 y^2= 1 : [23, 4] ---------- 4 cycle: [[2, 3, -3], [-3, 3, 2], [2, 5, -1], [-1, 5, 2]] (m)c.f.e: [-1, 2, -5, 2] 4 cycle: [[-2, 3, 3], [3, 3, -2], [-2, 5, 1], [1, 5, -2]] (m)c.f.e: [1, -2, 5, -2] number of reduced forms: 8 partition: [4, 4] ============================== d: 34 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 10] Pell solution, x^2- 34 y^2= 1 : [35, 6] ---------- 6 cycle: [[5, 4, -6], [-6, 8, 3], [3, 10, -3], [-3, 8, 6], [6, 4, -5], [-5, 6, 5]] (m)c.f.e: [-1, 3, -3, 1, -1, 1] 6 cycle: [[-5, 4, 6], [6, 8, -3], [-3, 10, 3], [3, 8, -6], [-6, 4, 5], [5, 6, -5]] (m)c.f.e: [1, -3, 3, -1, 1, -1] 4 cycle: [[2, 8, -9], [-9, 10, 1], [1, 10, -9], [-9, 8, 2]] (m)c.f.e: [-1, 10, -1, 4] 4 cycle: [[-2, 8, 9], [9, 10, -1], [-1, 10, 9], [9, 8, -2]] (m)c.f.e: [1, -10, 1, -4] number of reduced forms: 20 partition: [4, 4, 6, 6] ============================== d: 35 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 10] Pell solution, x^2- 35 y^2= 1 : [6, 1] ---------- 2 cycle: [[1, 10, -10], [-10, 10, 1]] (m)c.f.e: [-1, 10] 2 cycle: [[-1, 10, 10], [10, 10, -1]] (m)c.f.e: [1, -10] 2 cycle: [[2, 10, -5], [-5, 10, 2]] (m)c.f.e: [-2, 5] 2 cycle: [[-2, 10, 5], [5, 10, -2]] (m)c.f.e: [2, -5] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 37 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [12] Pell solution, x^2- 37 y^2= -1 : [6, 1] ---------- 6 cycle: [[3, 1, -3], [-3, 5, 1], [1, 5, -3], [-3, 1, 3], [3, 5, -1], [-1, 5, 3]] (m)c.f.e: [-1, 5, -1, 1, -5, 1] number of reduced forms: 6 partition: [6] ============================== d: 38 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 12] Pell solution, x^2- 38 y^2= 1 : [37, 6] ---------- 2 cycle: [[1, 12, -2], [-2, 12, 1]] (m)c.f.e: [-6, 12] 2 cycle: [[-1, 12, 2], [2, 12, -1]] (m)c.f.e: [6, -12] number of reduced forms: 4 partition: [2, 2] ============================== d: 39 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 12] Pell solution, x^2- 39 y^2= 1 : [25, 4] ---------- 6 cycle: [[5, 4, -7], [-7, 10, 2], [2, 10, -7], [-7, 4, 5], [5, 6, -6], [-6, 6, 5]] (m)c.f.e: [-1, 5, -1, 1, -1, 1] 6 cycle: [[-5, 4, 7], [7, 10, -2], [-2, 10, 7], [7, 4, -5], [-5, 6, 6], [6, 6, -5]] (m)c.f.e: [1, -5, 1, -1, 1, -1] 2 cycle: [[1, 12, -3], [-3, 12, 1]] (m)c.f.e: [-4, 12] 2 cycle: [[-1, 12, 3], [3, 12, -1]] (m)c.f.e: [4, -12] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 41 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 12] Pell solution, x^2- 41 y^2= -1 : [32, 5] ---------- 10 cycle: [[2, 3, -4], [-4, 5, 1], [1, 5, -4], [-4, 3, 2], [2, 5, -2], [-2, 3, 4], [4, 5, -1], [-1, 5, 4], [4, 3, -2], [-2, 5, 2]] (m)c.f.e: [-1, 5, -1, 2, -2, 1, -5, 1, -2, 2] number of reduced forms: 10 partition: [10] ============================== d: 42 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 12] Pell solution, x^2- 42 y^2= 1 : [13, 2] ---------- 2 cycle: [[1, 12, -6], [-6, 12, 1]] (m)c.f.e: [-2, 12] 2 cycle: [[-1, 12, 6], [6, 12, -1]] (m)c.f.e: [2, -12] 2 cycle: [[2, 12, -3], [-3, 12, 2]] (m)c.f.e: [-4, 6] 2 cycle: [[-2, 12, 3], [3, 12, -2]] (m)c.f.e: [4, -6] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 43 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 1, 5, 1, 3, 1, 1, 12] Pell solution, x^2- 43 y^2= 1 : [3482, 531] ---------- 10 cycle: [[6, 2, -7], [-7, 12, 1], [1, 12, -7], [-7, 2, 6], [6, 10, -3], [-3, 8, 9], [9, 10, -2], [-2, 10, 9], [9, 8, -3], [-3, 10, 6]] (m)c.f.e: [-1, 12, -1, 1, -3, 1, -5, 1, -3, 1] 10 cycle: [[-6, 2, 7], [7, 12, -1], [-1, 12, 7], [7, 2, -6], [-6, 10, 3], [3, 8, -9], [-9, 10, 2], [2, 10, -9], [-9, 8, 3], [3, 10, -6]] (m)c.f.e: [1, -12, 1, -1, 3, -1, 5, -1, 3, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 46 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12] Pell solution, x^2- 46 y^2= 1 : [24335, 3588] ---------- 12 cycle: [[6, 4, -7], [-7, 10, 3], [3, 8, -10], [-10, 12, 1], [1, 12, -10], [-10, 8, 3], [3, 10, -7], [-7, 4, 6], [6, 8, -5], [-5, 12, 2], [2, 12, -5], [-5, 8, 6]] (m)c.f.e: [-1, 3, -1, 12, -1, 3, -1, 1, -2, 6, -2, 1] 12 cycle: [[-6, 4, 7], [7, 10, -3], [-3, 8, 10], [10, 12, -1], [-1, 12, 10], [10, 8, -3], [-3, 10, 7], [7, 4, -6], [-6, 8, 5], [5, 12, -2], [-2, 12, 5], [5, 8, -6]] (m)c.f.e: [1, -3, 1, -12, 1, -3, 1, -1, 2, -6, 2, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 47 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 1, 12] Pell solution, x^2- 47 y^2= 1 : [48, 7] ---------- 4 cycle: [[2, 10, -11], [-11, 12, 1], [1, 12, -11], [-11, 10, 2]] (m)c.f.e: [-1, 12, -1, 5] 4 cycle: [[-2, 10, 11], [11, 12, -1], [-1, 12, 11], [11, 10, -2]] (m)c.f.e: [1, -12, 1, -5] number of reduced forms: 8 partition: [4, 4] ============================== d: 51 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 14] Pell solution, x^2- 51 y^2= 1 : [50, 7] ---------- 6 cycle: [[6, 6, -7], [-7, 8, 5], [5, 12, -3], [-3, 12, 5], [5, 8, -7], [-7, 6, 6]] (m)c.f.e: [-1, 2, -4, 2, -1, 1] 6 cycle: [[-6, 6, 7], [7, 8, -5], [-5, 12, 3], [3, 12, -5], [-5, 8, 7], [7, 6, -6]] (m)c.f.e: [1, -2, 4, -2, 1, -1] 2 cycle: [[1, 14, -2], [-2, 14, 1]] (m)c.f.e: [-7, 14] 2 cycle: [[-1, 14, 2], [2, 14, -1]] (m)c.f.e: [7, -14] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 53 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 3, 14] Pell solution, x^2- 53 y^2= -1 : [182, 25] ---------- 2 cycle: [[1, 7, -1], [-1, 7, 1]] (m)c.f.e: [-7, 7] number of reduced forms: 2 partition: [2] ============================== d: 55 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 2, 14] Pell solution, x^2- 55 y^2= 1 : [89, 12] ---------- 4 cycle: [[3, 10, -10], [-10, 10, 3], [3, 14, -2], [-2, 14, 3]] (m)c.f.e: [-1, 4, -7, 4] 4 cycle: [[-3, 10, 10], [10, 10, -3], [-3, 14, 2], [2, 14, -3]] (m)c.f.e: [1, -4, 7, -4] 4 cycle: [[5, 10, -6], [-6, 14, 1], [1, 14, -6], [-6, 10, 5]] (m)c.f.e: [-2, 14, -2, 2] 4 cycle: [[-5, 10, 6], [6, 14, -1], [-1, 14, 6], [6, 10, -5]] (m)c.f.e: [2, -14, 2, -2] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 57 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 4, 1, 1, 14] Pell solution, x^2- 57 y^2= 1 : [151, 20] ---------- 6 cycle: [[3, 3, -4], [-4, 5, 2], [2, 7, -1], [-1, 7, 2], [2, 5, -4], [-4, 3, 3]] (m)c.f.e: [-1, 3, -7, 3, -1, 1] 6 cycle: [[-3, 3, 4], [4, 5, -2], [-2, 7, 1], [1, 7, -2], [-2, 5, 4], [4, 3, -3]] (m)c.f.e: [1, -3, 7, -3, 1, -1] number of reduced forms: 12 partition: [6, 6] ============================== d: 58 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 1, 1, 14] Pell solution, x^2- 58 y^2= -1 : [99, 13] ---------- 14 cycle: [[6, 4, -9], [-9, 14, 1], [1, 14, -9], [-9, 4, 6], [6, 8, -7], [-7, 6, 7], [7, 8, -6], [-6, 4, 9], [9, 14, -1], [-1, 14, 9], [9, 4, -6], [-6, 8, 7], [7, 6, -7], [-7, 8, 6]] (m)c.f.e: [-1, 14, -1, 1, -1, 1, -1, 1, -14, 1, -1, 1, -1, 1] 10 cycle: [[3, 10, -11], [-11, 12, 2], [2, 12, -11], [-11, 10, 3], [3, 14, -3], [-3, 10, 11], [11, 12, -2], [-2, 12, 11], [11, 10, -3], [-3, 14, 3]] (m)c.f.e: [-1, 6, -1, 4, -4, 1, -6, 1, -4, 4] number of reduced forms: 24 partition: [10, 14] ============================== d: 59 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 7, 2, 1, 14] Pell solution, x^2- 59 y^2= 1 : [530, 69] ---------- 6 cycle: [[5, 6, -10], [-10, 14, 1], [1, 14, -10], [-10, 6, 5], [5, 14, -2], [-2, 14, 5]] (m)c.f.e: [-1, 14, -1, 2, -7, 2] 6 cycle: [[-5, 6, 10], [10, 14, -1], [-1, 14, 10], [10, 6, -5], [-5, 14, 2], [2, 14, -5]] (m)c.f.e: [1, -14, 1, -2, 7, -2] number of reduced forms: 12 partition: [6, 6] ============================== d: 61 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14] Pell solution, x^2- 61 y^2= -1 : [29718, 3805] ---------- 6 cycle: [[3, 5, -3], [-3, 7, 1], [1, 7, -3], [-3, 5, 3], [3, 7, -1], [-1, 7, 3]] (m)c.f.e: [-2, 7, -2, 2, -7, 2] number of reduced forms: 6 partition: [6] ============================== d: 62 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 14] Pell solution, x^2- 62 y^2= 1 : [63, 8] ---------- 4 cycle: [[2, 12, -13], [-13, 14, 1], [1, 14, -13], [-13, 12, 2]] (m)c.f.e: [-1, 14, -1, 6] 4 cycle: [[-2, 12, 13], [13, 14, -1], [-1, 14, 13], [13, 12, -2]] (m)c.f.e: [1, -14, 1, -6] number of reduced forms: 8 partition: [4, 4] ============================== d: 65 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [16] Pell solution, x^2- 65 y^2= -1 : [8, 1] ---------- 6 cycle: [[4, 1, -4], [-4, 7, 1], [1, 7, -4], [-4, 1, 4], [4, 7, -1], [-1, 7, 4]] (m)c.f.e: [-1, 7, -1, 1, -7, 1] 6 cycle: [[2, 5, -5], [-5, 5, 2], [2, 7, -2], [-2, 5, 5], [5, 5, -2], [-2, 7, 2]] (m)c.f.e: [-1, 3, -3, 1, -3, 3] number of reduced forms: 12 partition: [6, 6] ============================== d: 66 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 16] Pell solution, x^2- 66 y^2= 1 : [65, 8] ---------- 6 cycle: [[5, 8, -10], [-10, 12, 3], [3, 12, -10], [-10, 8, 5], [5, 12, -6], [-6, 12, 5]] (m)c.f.e: [-1, 4, -1, 2, -2, 2] 6 cycle: [[-5, 8, 10], [10, 12, -3], [-3, 12, 10], [10, 8, -5], [-5, 12, 6], [6, 12, -5]] (m)c.f.e: [1, -4, 1, -2, 2, -2] 2 cycle: [[1, 16, -2], [-2, 16, 1]] (m)c.f.e: [-8, 16] 2 cycle: [[-1, 16, 2], [2, 16, -1]] (m)c.f.e: [8, -16] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 67 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 2, 1, 1, 7, 1, 1, 2, 5, 16] Pell solution, x^2- 67 y^2= 1 : [48842, 5967] ---------- 10 cycle: [[7, 4, -9], [-9, 14, 2], [2, 14, -9], [-9, 4, 7], [7, 10, -6], [-6, 14, 3], [3, 16, -1], [-1, 16, 3], [3, 14, -6], [-6, 10, 7]] (m)c.f.e: [-1, 7, -1, 1, -2, 5, -16, 5, -2, 1] 10 cycle: [[-7, 4, 9], [9, 14, -2], [-2, 14, 9], [9, 4, -7], [-7, 10, 6], [6, 14, -3], [-3, 16, 1], [1, 16, -3], [-3, 14, 6], [6, 10, -7]] (m)c.f.e: [1, -7, 1, -1, 2, -5, 16, -5, 2, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 69 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 3, 1, 4, 1, 3, 3, 16] Pell solution, x^2- 69 y^2= 1 : [7775, 936] ---------- 4 cycle: [[3, 3, -5], [-5, 7, 1], [1, 7, -5], [-5, 3, 3]] (m)c.f.e: [-1, 7, -1, 1] 4 cycle: [[-3, 3, 5], [5, 7, -1], [-1, 7, 5], [5, 3, -3]] (m)c.f.e: [1, -7, 1, -1] number of reduced forms: 8 partition: [4, 4] ============================== d: 70 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 2, 1, 2, 16] Pell solution, x^2- 70 y^2= 1 : [251, 30] ---------- 6 cycle: [[6, 8, -9], [-9, 10, 5], [5, 10, -9], [-9, 8, 6], [6, 16, -1], [-1, 16, 6]] (m)c.f.e: [-1, 2, -1, 2, -16, 2] 6 cycle: [[-6, 8, 9], [9, 10, -5], [-5, 10, 9], [9, 8, -6], [-6, 16, 1], [1, 16, -6]] (m)c.f.e: [1, -2, 1, -2, 16, -2] 4 cycle: [[3, 14, -7], [-7, 14, 3], [3, 16, -2], [-2, 16, 3]] (m)c.f.e: [-2, 5, -8, 5] 4 cycle: [[-3, 14, 7], [7, 14, -3], [-3, 16, 2], [2, 16, -3]] (m)c.f.e: [2, -5, 8, -5] number of reduced forms: 20 partition: [4, 4, 6, 6] ============================== d: 71 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 1, 7, 1, 2, 2, 16] Pell solution, x^2- 71 y^2= 1 : [3480, 413] ---------- 8 cycle: [[5, 8, -11], [-11, 14, 2], [2, 14, -11], [-11, 8, 5], [5, 12, -7], [-7, 16, 1], [1, 16, -7], [-7, 12, 5]] (m)c.f.e: [-1, 7, -1, 2, -2, 16, -2, 2] 8 cycle: [[-5, 8, 11], [11, 14, -2], [-2, 14, 11], [11, 8, -5], [-5, 12, 7], [7, 16, -1], [-1, 16, 7], [7, 12, -5]] (m)c.f.e: [1, -7, 1, -2, 2, -16, 2, -2] number of reduced forms: 16 partition: [8, 8] ============================== d: 73 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 5, 5, 1, 1, 16] Pell solution, x^2- 73 y^2= -1 : [1068, 125] ---------- 18 cycle: [[4, 3, -4], [-4, 5, 3], [3, 7, -2], [-2, 5, 6], [6, 7, -1], [-1, 7, 6], [6, 5, -2], [-2, 7, 3], [3, 5, -4], [-4, 3, 4], [4, 5, -3], [-3, 7, 2], [2, 5, -6], [-6, 7, 1], [1, 7, -6], [-6, 5, 2], [2, 7, -3], [-3, 5, 4]] (m)c.f.e: [-1, 2, -3, 1, -7, 1, -3, 2, -1, 1, -2, 3, -1, 7, -1, 3, -2, 1] number of reduced forms: 18 partition: [18] ============================== d: 74 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 16] Pell solution, x^2- 74 y^2= -1 : [43, 5] ---------- 10 cycle: [[7, 4, -10], [-10, 16, 1], [1, 16, -10], [-10, 4, 7], [7, 10, -7], [-7, 4, 10], [10, 16, -1], [-1, 16, 10], [10, 4, -7], [-7, 10, 7]] (m)c.f.e: [-1, 16, -1, 1, -1, 1, -16, 1, -1, 1] 6 cycle: [[5, 14, -5], [-5, 16, 2], [2, 16, -5], [-5, 14, 5], [5, 16, -2], [-2, 16, 5]] (m)c.f.e: [-3, 8, -3, 3, -8, 3] number of reduced forms: 16 partition: [6, 10] ============================== d: 77 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 2, 3, 1, 16] Pell solution, x^2- 77 y^2= 1 : [351, 40] ---------- 2 cycle: [[1, 7, -7], [-7, 7, 1]] (m)c.f.e: [-1, 7] 2 cycle: [[-1, 7, 7], [7, 7, -1]] (m)c.f.e: [1, -7] number of reduced forms: 4 partition: [2, 2] ============================== d: 78 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 16] Pell solution, x^2- 78 y^2= 1 : [53, 6] ---------- 4 cycle: [[3, 12, -14], [-14, 16, 1], [1, 16, -14], [-14, 12, 3]] (m)c.f.e: [-1, 16, -1, 4] 4 cycle: [[-3, 12, 14], [14, 16, -1], [-1, 16, 14], [14, 12, -3]] (m)c.f.e: [1, -16, 1, -4] 4 cycle: [[6, 12, -7], [-7, 16, 2], [2, 16, -7], [-7, 12, 6]] (m)c.f.e: [-2, 8, -2, 2] 4 cycle: [[-6, 12, 7], [7, 16, -2], [-2, 16, 7], [7, 12, -6]] (m)c.f.e: [2, -8, 2, -2] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 79 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 1, 16] Pell solution, x^2- 79 y^2= 1 : [80, 9] ---------- 6 cycle: [[7, 6, -10], [-10, 14, 3], [3, 16, -5], [-5, 14, 6], [6, 10, -9], [-9, 8, 7]] (m)c.f.e: [-1, 5, -3, 2, -1, 1] 6 cycle: [[-7, 6, 10], [10, 14, -3], [-3, 16, 5], [5, 14, -6], [-6, 10, 9], [9, 8, -7]] (m)c.f.e: [1, -5, 3, -2, 1, -1] 6 cycle: [[10, 6, -7], [-7, 8, 9], [9, 10, -6], [-6, 14, 5], [5, 16, -3], [-3, 14, 10]] (m)c.f.e: [-1, 1, -2, 3, -5, 1] 6 cycle: [[-10, 6, 7], [7, 8, -9], [-9, 10, 6], [6, 14, -5], [-5, 16, 3], [3, 14, -10]] (m)c.f.e: [1, -1, 2, -3, 5, -1] 4 cycle: [[2, 14, -15], [-15, 16, 1], [1, 16, -15], [-15, 14, 2]] (m)c.f.e: [-1, 16, -1, 7] 4 cycle: [[-2, 14, 15], [15, 16, -1], [-1, 16, 15], [15, 14, -2]] (m)c.f.e: [1, -16, 1, -7] number of reduced forms: 32 partition: [4, 4, 6, 6, 6, 6] ============================== d: 82 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [18] Pell solution, x^2- 82 y^2= -1 : [9, 1] ---------- 6 cycle: [[9, 2, -9], [-9, 16, 2], [2, 16, -9], [-9, 2, 9], [9, 16, -2], [-2, 16, 9]] (m)c.f.e: [-1, 8, -1, 1, -8, 1] 6 cycle: [[6, 8, -11], [-11, 14, 3], [3, 16, -6], [-6, 8, 11], [11, 14, -3], [-3, 16, 6]] (m)c.f.e: [-1, 5, -2, 1, -5, 2] 6 cycle: [[11, 8, -6], [-6, 16, 3], [3, 14, -11], [-11, 8, 6], [6, 16, -3], [-3, 14, 11]] (m)c.f.e: [-2, 5, -1, 2, -5, 1] 2 cycle: [[1, 18, -1], [-1, 18, 1]] (m)c.f.e: [-18, 18] number of reduced forms: 20 partition: [2, 6, 6, 6] ============================== d: 83 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [9, 18] Pell solution, x^2- 83 y^2= 1 : [82, 9] ---------- 2 cycle: [[1, 18, -2], [-2, 18, 1]] (m)c.f.e: [-9, 18] 2 cycle: [[-1, 18, 2], [2, 18, -1]] (m)c.f.e: [9, -18] number of reduced forms: 4 partition: [2, 2] ============================== d: 85 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 1, 4, 18] Pell solution, x^2- 85 y^2= -1 : [378, 41] ---------- 6 cycle: [[3, 5, -5], [-5, 5, 3], [3, 7, -3], [-3, 5, 5], [5, 5, -3], [-3, 7, 3]] (m)c.f.e: [-1, 2, -2, 1, -2, 2] 2 cycle: [[1, 9, -1], [-1, 9, 1]] (m)c.f.e: [-9, 9] number of reduced forms: 8 partition: [2, 6] ============================== d: 86 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 1, 8, 1, 1, 1, 3, 18] Pell solution, x^2- 86 y^2= 1 : [10405, 1122] ---------- 10 cycle: [[7, 6, -11], [-11, 16, 2], [2, 16, -11], [-11, 6, 7], [7, 8, -10], [-10, 12, 5], [5, 18, -1], [-1, 18, 5], [5, 12, -10], [-10, 8, 7]] (m)c.f.e: [-1, 8, -1, 1, -1, 3, -18, 3, -1, 1] 10 cycle: [[-7, 6, 11], [11, 16, -2], [-2, 16, 11], [11, 6, -7], [-7, 8, 10], [10, 12, -5], [-5, 18, 1], [1, 18, -5], [-5, 12, 10], [10, 8, -7]] (m)c.f.e: [1, -8, 1, -1, 1, -3, 18, -3, 1, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 87 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 18] Pell solution, x^2- 87 y^2= 1 : [28, 3] ---------- 2 cycle: [[1, 18, -6], [-6, 18, 1]] (m)c.f.e: [-3, 18] 2 cycle: [[-1, 18, 6], [6, 18, -1]] (m)c.f.e: [3, -18] 2 cycle: [[2, 18, -3], [-3, 18, 2]] (m)c.f.e: [-6, 9] 2 cycle: [[-2, 18, 3], [3, 18, -2]] (m)c.f.e: [6, -9] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 89 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 3, 2, 18] Pell solution, x^2- 89 y^2= -1 : [500, 53] ---------- 14 cycle: [[4, 3, -5], [-5, 7, 2], [2, 9, -1], [-1, 9, 2], [2, 7, -5], [-5, 3, 4], [4, 5, -4], [-4, 3, 5], [5, 7, -2], [-2, 9, 1], [1, 9, -2], [-2, 7, 5], [5, 3, -4], [-4, 5, 4]] (m)c.f.e: [-1, 4, -9, 4, -1, 1, -1, 1, -4, 9, -4, 1, -1, 1] number of reduced forms: 14 partition: [14] ============================== d: 91 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 5, 1, 5, 1, 1, 18] Pell solution, x^2- 91 y^2= 1 : [1574, 165] ---------- 8 cycle: [[9, 2, -10], [-10, 18, 1], [1, 18, -10], [-10, 2, 9], [9, 16, -3], [-3, 14, 14], [14, 14, -3], [-3, 16, 9]] (m)c.f.e: [-1, 18, -1, 1, -5, 1, -5, 1] 8 cycle: [[-9, 2, 10], [10, 18, -1], [-1, 18, 10], [10, 2, -9], [-9, 16, 3], [3, 14, -14], [-14, 14, 3], [3, 16, -9]] (m)c.f.e: [1, -18, 1, -1, 5, -1, 5, -1] 8 cycle: [[6, 10, -11], [-11, 12, 5], [5, 18, -2], [-2, 18, 5], [5, 12, -11], [-11, 10, 6], [6, 14, -7], [-7, 14, 6]] (m)c.f.e: [-1, 3, -9, 3, -1, 2, -2, 2] 8 cycle: [[-6, 10, 11], [11, 12, -5], [-5, 18, 2], [2, 18, -5], [-5, 12, 11], [11, 10, -6], [-6, 14, 7], [7, 14, -6]] (m)c.f.e: [1, -3, 9, -3, 1, -2, 2, -2] number of reduced forms: 32 partition: [8, 8, 8, 8] ============================== d: 93 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4, 6, 4, 1, 1, 1, 18] Pell solution, x^2- 93 y^2= 1 : [12151, 1260] ---------- 2 cycle: [[1, 9, -3], [-3, 9, 1]] (m)c.f.e: [-3, 9] 2 cycle: [[-1, 9, 3], [3, 9, -1]] (m)c.f.e: [3, -9] number of reduced forms: 4 partition: [2, 2] ============================== d: 94 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18] Pell solution, x^2- 94 y^2= 1 : [2143295, 221064] ---------- 16 cycle: [[9, 4, -10], [-10, 16, 3], [3, 14, -15], [-15, 16, 2], [2, 16, -15], [-15, 14, 3], [3, 16, -10], [-10, 4, 9], [9, 14, -5], [-5, 16, 6], [6, 8, -13], [-13, 18, 1], [1, 18, -13], [-13, 8, 6], [6, 16, -5], [-5, 14, 9]] (m)c.f.e: [-1, 5, -1, 8, -1, 5, -1, 1, -3, 2, -1, 18, -1, 2, -3, 1] 16 cycle: [[-9, 4, 10], [10, 16, -3], [-3, 14, 15], [15, 16, -2], [-2, 16, 15], [15, 14, -3], [-3, 16, 10], [10, 4, -9], [-9, 14, 5], [5, 16, -6], [-6, 8, 13], [13, 18, -1], [-1, 18, 13], [13, 8, -6], [-6, 16, 5], [5, 14, -9]] (m)c.f.e: [1, -5, 1, -8, 1, -5, 1, -1, 3, -2, 1, -18, 1, -2, 3, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 95 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 18] Pell solution, x^2- 95 y^2= 1 : [39, 4] ---------- 4 cycle: [[5, 10, -14], [-14, 18, 1], [1, 18, -14], [-14, 10, 5]] (m)c.f.e: [-1, 18, -1, 2] 4 cycle: [[-5, 10, 14], [14, 18, -1], [-1, 18, 14], [14, 10, -5]] (m)c.f.e: [1, -18, 1, -2] 4 cycle: [[7, 10, -10], [-10, 10, 7], [7, 18, -2], [-2, 18, 7]] (m)c.f.e: [-1, 2, -9, 2] 4 cycle: [[-7, 10, 10], [10, 10, -7], [-7, 18, 2], [2, 18, -7]] (m)c.f.e: [1, -2, 9, -2] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 97 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18] Pell solution, x^2- 97 y^2= -1 : [5604, 569] ---------- 18 cycle: [[3, 5, -6], [-6, 7, 2], [2, 9, -2], [-2, 7, 6], [6, 5, -3], [-3, 7, 4], [4, 9, -1], [-1, 9, 4], [4, 7, -3], [-3, 5, 6], [6, 7, -2], [-2, 9, 2], [2, 7, -6], [-6, 5, 3], [3, 7, -4], [-4, 9, 1], [1, 9, -4], [-4, 7, 3]] (m)c.f.e: [-1, 4, -4, 1, -2, 2, -9, 2, -2, 1, -4, 4, -1, 2, -2, 9, -2, 2] number of reduced forms: 18 partition: [18] ============================== d: 101 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [20] Pell solution, x^2- 101 y^2= -1 : [10, 1] ---------- 6 cycle: [[5, 1, -5], [-5, 9, 1], [1, 9, -5], [-5, 1, 5], [5, 9, -1], [-1, 9, 5]] (m)c.f.e: [-1, 9, -1, 1, -9, 1] number of reduced forms: 6 partition: [6] ============================== d: 102 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 20] Pell solution, x^2- 102 y^2= 1 : [101, 10] ---------- 6 cycle: [[7, 10, -11], [-11, 12, 6], [6, 12, -11], [-11, 10, 7], [7, 18, -3], [-3, 18, 7]] (m)c.f.e: [-1, 2, -1, 2, -6, 2] 6 cycle: [[-7, 10, 11], [11, 12, -6], [-6, 12, 11], [11, 10, -7], [-7, 18, 3], [3, 18, -7]] (m)c.f.e: [1, -2, 1, -2, 6, -2] 2 cycle: [[1, 20, -2], [-2, 20, 1]] (m)c.f.e: [-10, 20] 2 cycle: [[-1, 20, 2], [2, 20, -1]] (m)c.f.e: [10, -20] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 103 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 1, 2, 1, 1, 9, 1, 1, 2, 1, 6, 20] Pell solution, x^2- 103 y^2= 1 : [227528, 22419] ---------- 12 cycle: [[9, 4, -11], [-11, 18, 2], [2, 18, -11], [-11, 4, 9], [9, 14, -6], [-6, 10, 13], [13, 16, -3], [-3, 20, 1], [1, 20, -3], [-3, 16, 13], [13, 10, -6], [-6, 14, 9]] (m)c.f.e: [-1, 9, -1, 1, -2, 1, -6, 20, -6, 1, -2, 1] 12 cycle: [[-9, 4, 11], [11, 18, -2], [-2, 18, 11], [11, 4, -9], [-9, 14, 6], [6, 10, -13], [-13, 16, 3], [3, 20, -1], [-1, 20, 3], [3, 16, -13], [-13, 10, 6], [6, 14, -9]] (m)c.f.e: [1, -9, 1, -1, 2, -1, 6, -20, 6, -1, 2, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 105 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 20] Pell solution, x^2- 105 y^2= 1 : [41, 4] ---------- 6 cycle: [[4, 3, -6], [-6, 9, 1], [1, 9, -6], [-6, 3, 4], [4, 5, -5], [-5, 5, 4]] (m)c.f.e: [-1, 9, -1, 1, -1, 1] 6 cycle: [[-4, 3, 6], [6, 9, -1], [-1, 9, 6], [6, 3, -4], [-4, 5, 5], [5, 5, -4]] (m)c.f.e: [1, -9, 1, -1, 1, -1] 4 cycle: [[2, 7, -7], [-7, 7, 2], [2, 9, -3], [-3, 9, 2]] (m)c.f.e: [-1, 4, -3, 4] 4 cycle: [[-2, 7, 7], [7, 7, -2], [-2, 9, 3], [3, 9, -2]] (m)c.f.e: [1, -4, 3, -4] number of reduced forms: 20 partition: [4, 4, 6, 6] ============================== d: 106 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 1, 1, 1, 1, 2, 3, 20] Pell solution, x^2- 106 y^2= -1 : [4005, 389] ---------- 18 cycle: [[9, 8, -10], [-10, 12, 7], [7, 16, -6], [-6, 20, 1], [1, 20, -6], [-6, 16, 7], [7, 12, -10], [-10, 8, 9], [9, 10, -9], [-9, 8, 10], [10, 12, -7], [-7, 16, 6], [6, 20, -1], [-1, 20, 6], [6, 16, -7], [-7, 12, 10], [10, 8, -9], [-9, 10, 9]] (m)c.f.e: [-1, 2, -3, 20, -3, 2, -1, 1, -1, 1, -2, 3, -20, 3, -2, 1, -1, 1] 14 cycle: [[5, 12, -14], [-14, 16, 3], [3, 20, -2], [-2, 20, 3], [3, 16, -14], [-14, 12, 5], [5, 18, -5], [-5, 12, 14], [14, 16, -3], [-3, 20, 2], [2, 20, -3], [-3, 16, 14], [14, 12, -5], [-5, 18, 5]] (m)c.f.e: [-1, 6, -10, 6, -1, 3, -3, 1, -6, 10, -6, 1, -3, 3] number of reduced forms: 32 partition: [14, 18] ============================== d: 107 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 9, 1, 2, 20] Pell solution, x^2- 107 y^2= 1 : [962, 93] ---------- 6 cycle: [[7, 8, -13], [-13, 18, 2], [2, 18, -13], [-13, 8, 7], [7, 20, -1], [-1, 20, 7]] (m)c.f.e: [-1, 9, -1, 2, -20, 2] 6 cycle: [[-7, 8, 13], [13, 18, -2], [-2, 18, 13], [13, 8, -7], [-7, 20, 1], [1, 20, -7]] (m)c.f.e: [1, -9, 1, -2, 20, -2] number of reduced forms: 12 partition: [6, 6] ============================== d: 109 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20] Pell solution, x^2- 109 y^2= -1 : [8890182, 851525] ---------- 14 cycle: [[5, 3, -5], [-5, 7, 3], [3, 5, -7], [-7, 9, 1], [1, 9, -7], [-7, 5, 3], [3, 7, -5], [-5, 3, 5], [5, 7, -3], [-3, 5, 7], [7, 9, -1], [-1, 9, 7], [7, 5, -3], [-3, 7, 5]] (m)c.f.e: [-1, 2, -1, 9, -1, 2, -1, 1, -2, 1, -9, 1, -2, 1] number of reduced forms: 14 partition: [14] ============================== d: 110 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 20] Pell solution, x^2- 110 y^2= 1 : [21, 2] ---------- 2 cycle: [[1, 20, -10], [-10, 20, 1]] (m)c.f.e: [-2, 20] 2 cycle: [[-1, 20, 10], [10, 20, -1]] (m)c.f.e: [2, -20] 2 cycle: [[2, 20, -5], [-5, 20, 2]] (m)c.f.e: [-4, 10] 2 cycle: [[-2, 20, 5], [5, 20, -2]] (m)c.f.e: [4, -10] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 111 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 6, 1, 1, 20] Pell solution, x^2- 111 y^2= 1 : [295, 28] ---------- 6 cycle: [[10, 2, -11], [-11, 20, 1], [1, 20, -11], [-11, 2, 10], [10, 18, -3], [-3, 18, 10]] (m)c.f.e: [-1, 20, -1, 1, -6, 1] 6 cycle: [[-10, 2, 11], [11, 20, -1], [-1, 20, 11], [11, 2, -10], [-10, 18, 3], [3, 18, -10]] (m)c.f.e: [1, -20, 1, -1, 6, -1] 6 cycle: [[5, 12, -15], [-15, 18, 2], [2, 18, -15], [-15, 12, 5], [5, 18, -6], [-6, 18, 5]] (m)c.f.e: [-1, 9, -1, 3, -3, 3] 6 cycle: [[-5, 12, 15], [15, 18, -2], [-2, 18, 15], [15, 12, -5], [-5, 18, 6], [6, 18, -5]] (m)c.f.e: [1, -9, 1, -3, 3, -3] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 113 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 2, 1, 1, 1, 20] Pell solution, x^2- 113 y^2= -1 : [776, 73] ---------- 14 cycle: [[2, 7, -8], [-8, 9, 1], [1, 9, -8], [-8, 7, 2], [2, 9, -4], [-4, 7, 4], [4, 9, -2], [-2, 7, 8], [8, 9, -1], [-1, 9, 8], [8, 7, -2], [-2, 9, 4], [4, 7, -4], [-4, 9, 2]] (m)c.f.e: [-1, 9, -1, 4, -2, 2, -4, 1, -9, 1, -4, 2, -2, 4] number of reduced forms: 14 partition: [14] ============================== d: 114 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 10, 2, 1, 20] Pell solution, x^2- 114 y^2= 1 : [1025, 96] ---------- 10 cycle: [[10, 4, -11], [-11, 18, 3], [3, 18, -11], [-11, 4, 10], [10, 16, -5], [-5, 14, 13], [13, 12, -6], [-6, 12, 13], [13, 14, -5], [-5, 16, 10]] (m)c.f.e: [-1, 6, -1, 1, -3, 1, -2, 1, -3, 1] 10 cycle: [[-10, 4, 11], [11, 18, -3], [-3, 18, 11], [11, 4, -10], [-10, 16, 5], [5, 14, -13], [-13, 12, 6], [6, 12, -13], [-13, 14, 5], [5, 16, -10]] (m)c.f.e: [1, -6, 1, -1, 3, -1, 2, -1, 3, -1] 6 cycle: [[7, 8, -14], [-14, 20, 1], [1, 20, -14], [-14, 8, 7], [7, 20, -2], [-2, 20, 7]] (m)c.f.e: [-1, 20, -1, 2, -10, 2] 6 cycle: [[-7, 8, 14], [14, 20, -1], [-1, 20, 14], [14, 8, -7], [-7, 20, 2], [2, 20, -7]] (m)c.f.e: [1, -20, 1, -2, 10, -2] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 115 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 1, 1, 1, 2, 1, 20] Pell solution, x^2- 115 y^2= 1 : [1126, 105] ---------- 10 cycle: [[9, 8, -11], [-11, 14, 6], [6, 10, -15], [-15, 20, 1], [1, 20, -15], [-15, 10, 6], [6, 14, -11], [-11, 8, 9], [9, 10, -10], [-10, 10, 9]] (m)c.f.e: [-1, 2, -1, 20, -1, 2, -1, 1, -1, 1] 10 cycle: [[-9, 8, 11], [11, 14, -6], [-6, 10, 15], [15, 20, -1], [-1, 20, 15], [15, 10, -6], [-6, 14, 11], [11, 8, -9], [-9, 10, 10], [10, 10, -9]] (m)c.f.e: [1, -2, 1, -20, 1, -2, 1, -1, 1, -1] 6 cycle: [[3, 16, -17], [-17, 18, 2], [2, 18, -17], [-17, 16, 3], [3, 20, -5], [-5, 20, 3]] (m)c.f.e: [-1, 9, -1, 6, -4, 6] 6 cycle: [[-3, 16, 17], [17, 18, -2], [-2, 18, 17], [17, 16, -3], [-3, 20, 5], [5, 20, -3]] (m)c.f.e: [1, -9, 1, -6, 4, -6] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 118 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 3, 2, 10, 2, 3, 6, 1, 20] Pell solution, x^2- 118 y^2= 1 : [306917, 28254] ---------- 10 cycle: [[3, 16, -18], [-18, 20, 1], [1, 20, -18], [-18, 16, 3], [3, 20, -6], [-6, 16, 9], [9, 20, -2], [-2, 20, 9], [9, 16, -6], [-6, 20, 3]] (m)c.f.e: [-1, 20, -1, 6, -3, 2, -10, 2, -3, 6] 10 cycle: [[-3, 16, 18], [18, 20, -1], [-1, 20, 18], [18, 16, -3], [-3, 20, 6], [6, 16, -9], [-9, 20, 2], [2, 20, -9], [-9, 16, 6], [6, 20, -3]] (m)c.f.e: [1, -20, 1, -6, 3, -2, 10, -2, 3, -6] number of reduced forms: 20 partition: [10, 10] ============================== d: 119 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 9, 1, 20] Pell solution, x^2- 119 y^2= 1 : [120, 11] ---------- 8 cycle: [[10, 6, -11], [-11, 16, 5], [5, 14, -14], [-14, 14, 5], [5, 16, -11], [-11, 6, 10], [10, 14, -7], [-7, 14, 10]] (m)c.f.e: [-1, 3, -1, 3, -1, 1, -2, 1] 8 cycle: [[-10, 6, 11], [11, 16, -5], [-5, 14, 14], [14, 14, -5], [-5, 16, 11], [11, 6, -10], [-10, 14, 7], [7, 14, -10]] (m)c.f.e: [1, -3, 1, -3, 1, -1, 2, -1] 4 cycle: [[2, 18, -19], [-19, 20, 1], [1, 20, -19], [-19, 18, 2]] (m)c.f.e: [-1, 20, -1, 9] 4 cycle: [[-2, 18, 19], [19, 20, -1], [-1, 20, 19], [19, 18, -2]] (m)c.f.e: [1, -20, 1, -9] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 122 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [22] Pell solution, x^2- 122 y^2= -1 : [11, 1] ---------- 6 cycle: [[11, 2, -11], [-11, 20, 2], [2, 20, -11], [-11, 2, 11], [11, 20, -2], [-2, 20, 11]] (m)c.f.e: [-1, 10, -1, 1, -10, 1] 2 cycle: [[1, 22, -1], [-1, 22, 1]] (m)c.f.e: [-22, 22] number of reduced forms: 8 partition: [2, 6] ============================== d: 123 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [11, 22] Pell solution, x^2- 123 y^2= 1 : [122, 11] ---------- 6 cycle: [[7, 10, -14], [-14, 18, 3], [3, 18, -14], [-14, 10, 7], [7, 18, -6], [-6, 18, 7]] (m)c.f.e: [-1, 6, -1, 2, -3, 2] 6 cycle: [[-7, 10, 14], [14, 18, -3], [-3, 18, 14], [14, 10, -7], [-7, 18, 6], [6, 18, -7]] (m)c.f.e: [1, -6, 1, -2, 3, -2] 2 cycle: [[1, 22, -2], [-2, 22, 1]] (m)c.f.e: [-11, 22] 2 cycle: [[-1, 22, 2], [2, 22, -1]] (m)c.f.e: [11, -22] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 127 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 2, 2, 7, 11, 7, 2, 2, 1, 3, 22] Pell solution, x^2- 127 y^2= 1 : [4730624, 419775] ---------- 12 cycle: [[7, 12, -13], [-13, 14, 6], [6, 22, -1], [-1, 22, 6], [6, 14, -13], [-13, 12, 7], [7, 16, -9], [-9, 20, 3], [3, 22, -2], [-2, 22, 3], [3, 20, -9], [-9, 16, 7]] (m)c.f.e: [-1, 3, -22, 3, -1, 2, -2, 7, -11, 7, -2, 2] 12 cycle: [[-7, 12, 13], [13, 14, -6], [-6, 22, 1], [1, 22, -6], [-6, 14, 13], [13, 12, -7], [-7, 16, 9], [9, 20, -3], [-3, 22, 2], [2, 22, -3], [-3, 20, 9], [9, 16, -7]] (m)c.f.e: [1, -3, 22, -3, 1, -2, 2, -7, 11, -7, 2, -2] number of reduced forms: 24 partition: [12, 12] ============================== d: 129 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 3, 1, 6, 1, 3, 1, 2, 22] Pell solution, x^2- 129 y^2= 1 : [16855, 1484] ---------- 10 cycle: [[5, 3, -6], [-6, 9, 2], [2, 11, -1], [-1, 11, 2], [2, 9, -6], [-6, 3, 5], [5, 7, -4], [-4, 9, 3], [3, 9, -4], [-4, 7, 5]] (m)c.f.e: [-1, 5, -11, 5, -1, 1, -2, 3, -2, 1] 10 cycle: [[-5, 3, 6], [6, 9, -2], [-2, 11, 1], [1, 11, -2], [-2, 9, 6], [6, 3, -5], [-5, 7, 4], [4, 9, -3], [-3, 9, 4], [4, 7, -5]] (m)c.f.e: [1, -5, 11, -5, 1, -1, 2, -3, 2, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 130 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 22] Pell solution, x^2- 130 y^2= -1 : [57, 5] ---------- 10 cycle: [[11, 6, -11], [-11, 16, 6], [6, 20, -5], [-5, 20, 6], [6, 16, -11], [-11, 6, 11], [11, 16, -6], [-6, 20, 5], [5, 20, -6], [-6, 16, 11]] (m)c.f.e: [-1, 3, -4, 3, -1, 1, -3, 4, -3, 1] 10 cycle: [[7, 10, -15], [-15, 20, 2], [2, 20, -15], [-15, 10, 7], [7, 18, -7], [-7, 10, 15], [15, 20, -2], [-2, 20, 15], [15, 10, -7], [-7, 18, 7]] (m)c.f.e: [-1, 10, -1, 2, -2, 1, -10, 1, -2, 2] 6 cycle: [[9, 14, -9], [-9, 22, 1], [1, 22, -9], [-9, 14, 9], [9, 22, -1], [-1, 22, 9]] (m)c.f.e: [-2, 22, -2, 2, -22, 2] 6 cycle: [[3, 20, -10], [-10, 20, 3], [3, 22, -3], [-3, 20, 10], [10, 20, -3], [-3, 22, 3]] (m)c.f.e: [-2, 7, -7, 2, -7, 7] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 131 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4, 11, 4, 2, 22] Pell solution, x^2- 131 y^2= 1 : [10610, 927] ---------- 6 cycle: [[5, 18, -10], [-10, 22, 1], [1, 22, -10], [-10, 18, 5], [5, 22, -2], [-2, 22, 5]] (m)c.f.e: [-2, 22, -2, 4, -11, 4] 6 cycle: [[-5, 18, 10], [10, 22, -1], [-1, 22, 10], [10, 18, -5], [-5, 22, 2], [2, 22, -5]] (m)c.f.e: [2, -22, 2, -4, 11, -4] number of reduced forms: 12 partition: [6, 6] ============================== d: 133 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 7, 5, 1, 1, 1, 2, 1, 1, 1, 5, 7, 1, 1, 22] Pell solution, x^2- 133 y^2= 1 : [2588599, 224460] ---------- 4 cycle: [[3, 7, -7], [-7, 7, 3], [3, 11, -1], [-1, 11, 3]] (m)c.f.e: [-1, 3, -11, 3] 4 cycle: [[-3, 7, 7], [7, 7, -3], [-3, 11, 1], [1, 11, -3]] (m)c.f.e: [1, -3, 11, -3] number of reduced forms: 8 partition: [4, 4] ============================== d: 134 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 3, 1, 10, 1, 3, 1, 2, 1, 1, 22] Pell solution, x^2- 134 y^2= 1 : [145925, 12606] ---------- 14 cycle: [[10, 4, -13], [-13, 22, 1], [1, 22, -13], [-13, 4, 10], [10, 16, -7], [-7, 12, 14], [14, 16, -5], [-5, 14, 17], [17, 20, -2], [-2, 20, 17], [17, 14, -5], [-5, 16, 14], [14, 12, -7], [-7, 16, 10]] (m)c.f.e: [-1, 22, -1, 1, -2, 1, -3, 1, -10, 1, -3, 1, -2, 1] 14 cycle: [[-10, 4, 13], [13, 22, -1], [-1, 22, 13], [13, 4, -10], [-10, 16, 7], [7, 12, -14], [-14, 16, 5], [5, 14, -17], [-17, 20, 2], [2, 20, -17], [-17, 14, 5], [5, 16, -14], [-14, 12, 7], [7, 16, -10]] (m)c.f.e: [1, -22, 1, -1, 2, -1, 3, -1, 10, -1, 3, -1, 2, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 137 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 1, 1, 2, 2, 1, 22] Pell solution, x^2- 137 y^2= -1 : [1744, 149] ---------- 14 cycle: [[4, 5, -7], [-7, 9, 2], [2, 11, -2], [-2, 9, 7], [7, 5, -4], [-4, 11, 1], [1, 11, -4], [-4, 5, 7], [7, 9, -2], [-2, 11, 2], [2, 9, -7], [-7, 5, 4], [4, 11, -1], [-1, 11, 4]] (m)c.f.e: [-1, 5, -5, 1, -2, 11, -2, 1, -5, 5, -1, 2, -11, 2] number of reduced forms: 14 partition: [14] ============================== d: 138 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 22] Pell solution, x^2- 138 y^2= 1 : [47, 4] ---------- 4 cycle: [[6, 12, -17], [-17, 22, 1], [1, 22, -17], [-17, 12, 6]] (m)c.f.e: [-1, 22, -1, 2] 4 cycle: [[-6, 12, 17], [17, 22, -1], [-1, 22, 17], [17, 12, -6]] (m)c.f.e: [1, -22, 1, -2] 4 cycle: [[3, 18, -19], [-19, 20, 2], [2, 20, -19], [-19, 18, 3]] (m)c.f.e: [-1, 10, -1, 6] 4 cycle: [[-3, 18, 19], [19, 20, -2], [-2, 20, 19], [19, 18, -3]] (m)c.f.e: [1, -10, 1, -6] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 139 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 3, 7, 1, 1, 2, 11, 2, 1, 1, 7, 3, 1, 3, 1, 22] Pell solution, x^2- 139 y^2= 1 : [77563250, 6578829] ---------- 18 cycle: [[10, 6, -13], [-13, 20, 3], [3, 22, -6], [-6, 14, 15], [15, 16, -5], [-5, 14, 18], [18, 22, -1], [-1, 22, 18], [18, 14, -5], [-5, 16, 15], [15, 14, -6], [-6, 22, 3], [3, 20, -13], [-13, 6, 10], [10, 14, -9], [-9, 22, 2], [2, 22, -9], [-9, 14, 10]] (m)c.f.e: [-1, 7, -3, 1, -3, 1, -22, 1, -3, 1, -3, 7, -1, 1, -2, 11, -2, 1] 18 cycle: [[-10, 6, 13], [13, 20, -3], [-3, 22, 6], [6, 14, -15], [-15, 16, 5], [5, 14, -18], [-18, 22, 1], [1, 22, -18], [-18, 14, 5], [5, 16, -15], [-15, 14, 6], [6, 22, -3], [-3, 20, 13], [13, 6, -10], [-10, 14, 9], [9, 22, -2], [-2, 22, 9], [9, 14, -10]] (m)c.f.e: [1, -7, 3, -1, 3, -1, 22, -1, 3, -1, 3, -7, 1, -1, 2, -11, 2, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 141 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 22] Pell solution, x^2- 141 y^2= 1 : [95, 8] ---------- 4 cycle: [[3, 9, -5], [-5, 11, 1], [1, 11, -5], [-5, 9, 3]] (m)c.f.e: [-2, 11, -2, 3] 4 cycle: [[-3, 9, 5], [5, 11, -1], [-1, 11, 5], [5, 9, -3]] (m)c.f.e: [2, -11, 2, -3] number of reduced forms: 8 partition: [4, 4] ============================== d: 142 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 10, 1, 22] Pell solution, x^2- 142 y^2= 1 : [143, 12] ---------- 6 cycle: [[9, 8, -14], [-14, 20, 3], [3, 22, -7], [-7, 20, 6], [6, 16, -13], [-13, 10, 9]] (m)c.f.e: [-1, 7, -3, 3, -1, 1] 6 cycle: [[-9, 8, 14], [14, 20, -3], [-3, 22, 7], [7, 20, -6], [-6, 16, 13], [13, 10, -9]] (m)c.f.e: [1, -7, 3, -3, 1, -1] 6 cycle: [[14, 8, -9], [-9, 10, 13], [13, 16, -6], [-6, 20, 7], [7, 22, -3], [-3, 20, 14]] (m)c.f.e: [-1, 1, -3, 3, -7, 1] 6 cycle: [[-14, 8, 9], [9, 10, -13], [-13, 16, 6], [6, 20, -7], [-7, 22, 3], [3, 20, -14]] (m)c.f.e: [1, -1, 3, -3, 7, -1] 4 cycle: [[2, 20, -21], [-21, 22, 1], [1, 22, -21], [-21, 20, 2]] (m)c.f.e: [-1, 22, -1, 10] 4 cycle: [[-2, 20, 21], [21, 22, -1], [-1, 22, 21], [21, 20, -2]] (m)c.f.e: [1, -22, 1, -10] number of reduced forms: 32 partition: [4, 4, 6, 6, 6, 6] ============================== d: 143 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 22] Pell solution, x^2- 143 y^2= 1 : [12, 1] ---------- 2 cycle: [[1, 22, -22], [-22, 22, 1]] (m)c.f.e: [-1, 22] 2 cycle: [[-1, 22, 22], [22, 22, -1]] (m)c.f.e: [1, -22] 2 cycle: [[2, 22, -11], [-11, 22, 2]] (m)c.f.e: [-2, 11] 2 cycle: [[-2, 22, 11], [11, 22, -2]] (m)c.f.e: [2, -11] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 145 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [24] Pell solution, x^2- 145 y^2= -1 : [12, 1] ---------- 6 cycle: [[6, 1, -6], [-6, 11, 1], [1, 11, -6], [-6, 1, 6], [6, 11, -1], [-1, 11, 6]] (m)c.f.e: [-1, 11, -1, 1, -11, 1] 10 cycle: [[5, 5, -6], [-6, 7, 4], [4, 9, -4], [-4, 7, 6], [6, 5, -5], [-5, 5, 6], [6, 7, -4], [-4, 9, 4], [4, 7, -6], [-6, 5, 5]] (m)c.f.e: [-1, 2, -2, 1, -1, 1, -2, 2, -1, 1] 6 cycle: [[3, 7, -8], [-8, 9, 2], [2, 11, -3], [-3, 7, 8], [8, 9, -2], [-2, 11, 3]] (m)c.f.e: [-1, 5, -3, 1, -5, 3] 6 cycle: [[8, 7, -3], [-3, 11, 2], [2, 9, -8], [-8, 7, 3], [3, 11, -2], [-2, 9, 8]] (m)c.f.e: [-3, 5, -1, 3, -5, 1] number of reduced forms: 28 partition: [6, 6, 6, 10] ============================== d: 146 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [12, 24] Pell solution, x^2- 146 y^2= 1 : [145, 12] ---------- 8 cycle: [[10, 8, -13], [-13, 18, 5], [5, 22, -5], [-5, 18, 13], [13, 8, -10], [-10, 12, 11], [11, 10, -11], [-11, 12, 10]] (m)c.f.e: [-1, 4, -4, 1, -1, 1, -1, 1] 8 cycle: [[-10, 8, 13], [13, 18, -5], [-5, 22, 5], [5, 18, -13], [-13, 8, 10], [10, 12, -11], [-11, 10, 11], [11, 12, -10]] (m)c.f.e: [1, -4, 4, -1, 1, -1, 1, -1] 2 cycle: [[1, 24, -2], [-2, 24, 1]] (m)c.f.e: [-12, 24] 2 cycle: [[-1, 24, 2], [2, 24, -1]] (m)c.f.e: [12, -24] number of reduced forms: 20 partition: [2, 2, 8, 8] ============================== d: 149 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 5, 3, 3, 5, 1, 4, 24] Pell solution, x^2- 149 y^2= -1 : [113582, 9305] ---------- 10 cycle: [[5, 3, -7], [-7, 11, 1], [1, 11, -7], [-7, 3, 5], [5, 7, -5], [-5, 3, 7], [7, 11, -1], [-1, 11, 7], [7, 3, -5], [-5, 7, 5]] (m)c.f.e: [-1, 11, -1, 1, -1, 1, -11, 1, -1, 1] number of reduced forms: 10 partition: [10] ============================== d: 151 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 7, 1, 3, 4, 1, 1, 1, 11, 1, 1, 1, 4, 3, 1, 7, 2, 3, 24] Pell solution, x^2- 151 y^2= 1 : [1728148040, 140634693] ---------- 20 cycle: [[9, 8, -15], [-15, 22, 2], [2, 22, -15], [-15, 8, 9], [9, 10, -14], [-14, 18, 5], [5, 22, -6], [-6, 14, 17], [17, 20, -3], [-3, 22, 10], [10, 18, -7], [-7, 24, 1], [1, 24, -7], [-7, 18, 10], [10, 22, -3], [-3, 20, 17], [17, 14, -6], [-6, 22, 5], [5, 18, -14], [-14, 10, 9]] (m)c.f.e: [-1, 11, -1, 1, -1, 4, -3, 1, -7, 2, -3, 24, -3, 2, -7, 1, -3, 4, -1, 1] 20 cycle: [[-9, 8, 15], [15, 22, -2], [-2, 22, 15], [15, 8, -9], [-9, 10, 14], [14, 18, -5], [-5, 22, 6], [6, 14, -17], [-17, 20, 3], [3, 22, -10], [-10, 18, 7], [7, 24, -1], [-1, 24, 7], [7, 18, -10], [-10, 22, 3], [3, 20, -17], [-17, 14, 6], [6, 22, -5], [-5, 18, 14], [14, 10, -9]] (m)c.f.e: [1, -11, 1, -1, 1, -4, 3, -1, 7, -2, 3, -24, 3, -2, 7, -1, 3, -4, 1, -1] number of reduced forms: 40 partition: [20, 20] ============================== d: 154 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 3, 1, 2, 1, 3, 2, 2, 24] Pell solution, x^2- 154 y^2= 1 : [21295, 1716] ---------- 10 cycle: [[7, 14, -15], [-15, 16, 6], [6, 20, -9], [-9, 16, 10], [10, 24, -1], [-1, 24, 10], [10, 16, -9], [-9, 20, 6], [6, 16, -15], [-15, 14, 7]] (m)c.f.e: [-1, 3, -2, 2, -24, 2, -2, 3, -1, 2] 10 cycle: [[-7, 14, 15], [15, 16, -6], [-6, 20, 9], [9, 16, -10], [-10, 24, 1], [1, 24, -10], [-10, 16, 9], [9, 20, -6], [-6, 16, 15], [15, 14, -7]] (m)c.f.e: [1, -3, 2, -2, 24, -2, 2, -3, 1, -2] 8 cycle: [[5, 16, -18], [-18, 20, 3], [3, 22, -11], [-11, 22, 3], [3, 20, -18], [-18, 16, 5], [5, 24, -2], [-2, 24, 5]] (m)c.f.e: [-1, 7, -2, 7, -1, 4, -12, 4] 8 cycle: [[-5, 16, 18], [18, 20, -3], [-3, 22, 11], [11, 22, -3], [-3, 20, 18], [18, 16, -5], [-5, 24, 2], [2, 24, -5]] (m)c.f.e: [1, -7, 2, -7, 1, -4, 12, -4] number of reduced forms: 36 partition: [8, 8, 10, 10] ============================== d: 155 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4, 2, 24] Pell solution, x^2- 155 y^2= 1 : [249, 20] ---------- 8 cycle: [[10, 10, -13], [-13, 16, 7], [7, 12, -17], [-17, 22, 2], [2, 22, -17], [-17, 12, 7], [7, 16, -13], [-13, 10, 10]] (m)c.f.e: [-1, 2, -1, 11, -1, 2, -1, 1] 8 cycle: [[-10, 10, 13], [13, 16, -7], [-7, 12, 17], [17, 22, -2], [-2, 22, 17], [17, 12, -7], [-7, 16, 13], [13, 10, -10]] (m)c.f.e: [1, -2, 1, -11, 1, -2, 1, -1] 4 cycle: [[5, 20, -11], [-11, 24, 1], [1, 24, -11], [-11, 20, 5]] (m)c.f.e: [-2, 24, -2, 4] 4 cycle: [[-5, 20, 11], [11, 24, -1], [-1, 24, 11], [11, 20, -5]] (m)c.f.e: [2, -24, 2, -4] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 157 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24] Pell solution, x^2- 157 y^2= -1 : [4832118, 385645] ---------- 10 cycle: [[3, 7, -9], [-9, 11, 1], [1, 11, -9], [-9, 7, 3], [3, 11, -3], [-3, 7, 9], [9, 11, -1], [-1, 11, 9], [9, 7, -3], [-3, 11, 3]] (m)c.f.e: [-1, 11, -1, 3, -3, 1, -11, 1, -3, 3] number of reduced forms: 10 partition: [10] ============================== d: 158 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 12, 3, 1, 1, 24] Pell solution, x^2- 158 y^2= 1 : [7743, 616] ---------- 8 cycle: [[11, 4, -14], [-14, 24, 1], [1, 24, -14], [-14, 4, 11], [11, 18, -7], [-7, 24, 2], [2, 24, -7], [-7, 18, 11]] (m)c.f.e: [-1, 24, -1, 1, -3, 12, -3, 1] 8 cycle: [[-11, 4, 14], [14, 24, -1], [-1, 24, 14], [14, 4, -11], [-11, 18, 7], [7, 24, -2], [-2, 24, 7], [7, 18, -11]] (m)c.f.e: [1, -24, 1, -1, 3, -12, 3, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 159 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 3, 1, 1, 1, 1, 24] Pell solution, x^2- 159 y^2= 1 : [1324, 105] ---------- 10 cycle: [[10, 6, -15], [-15, 24, 1], [1, 24, -15], [-15, 6, 10], [10, 14, -11], [-11, 8, 13], [13, 18, -6], [-6, 18, 13], [13, 8, -11], [-11, 14, 10]] (m)c.f.e: [-1, 24, -1, 1, -1, 1, -3, 1, -1, 1] 10 cycle: [[-10, 6, 15], [15, 24, -1], [-1, 24, 15], [15, 6, -10], [-10, 14, 11], [11, 8, -13], [-13, 18, 6], [6, 18, -13], [-13, 8, 11], [11, 14, -10]] (m)c.f.e: [1, -24, 1, -1, 1, -1, 3, -1, 1, -1] 6 cycle: [[5, 16, -19], [-19, 22, 2], [2, 22, -19], [-19, 16, 5], [5, 24, -3], [-3, 24, 5]] (m)c.f.e: [-1, 11, -1, 4, -8, 4] 6 cycle: [[-5, 16, 19], [19, 22, -2], [-2, 22, 19], [19, 16, -5], [-5, 24, 3], [3, 24, -5]] (m)c.f.e: [1, -11, 1, -4, 8, -4] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 161 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 4, 1, 2, 1, 4, 2, 1, 24] Pell solution, x^2- 161 y^2= 1 : [11775, 928] ---------- 10 cycle: [[4, 7, -7], [-7, 7, 4], [4, 9, -5], [-5, 11, 2], [2, 9, -10], [-10, 11, 1], [1, 11, -10], [-10, 9, 2], [2, 11, -5], [-5, 9, 4]] (m)c.f.e: [-1, 2, -2, 5, -1, 11, -1, 5, -2, 2] 10 cycle: [[-4, 7, 7], [7, 7, -4], [-4, 9, 5], [5, 11, -2], [-2, 9, 10], [10, 11, -1], [-1, 11, 10], [10, 9, -2], [-2, 11, 5], [5, 9, -4]] (m)c.f.e: [1, -2, 2, -5, 1, -11, 1, -5, 2, -2] number of reduced forms: 20 partition: [10, 10] ============================== d: 163 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 3, 2, 1, 1, 7, 1, 11, 1, 7, 1, 1, 2, 3, 3, 1, 24] Pell solution, x^2- 163 y^2= 1 : [64080026, 5019135] ---------- 18 cycle: [[11, 6, -14], [-14, 22, 3], [3, 20, -21], [-21, 22, 2], [2, 22, -21], [-21, 20, 3], [3, 22, -14], [-14, 6, 11], [11, 16, -9], [-9, 20, 7], [7, 22, -6], [-6, 14, 19], [19, 24, -1], [-1, 24, 19], [19, 14, -6], [-6, 22, 7], [7, 20, -9], [-9, 16, 11]] (m)c.f.e: [-1, 7, -1, 11, -1, 7, -1, 1, -2, 3, -3, 1, -24, 1, -3, 3, -2, 1] 18 cycle: [[-11, 6, 14], [14, 22, -3], [-3, 20, 21], [21, 22, -2], [-2, 22, 21], [21, 20, -3], [-3, 22, 14], [14, 6, -11], [-11, 16, 9], [9, 20, -7], [-7, 22, 6], [6, 14, -19], [-19, 24, 1], [1, 24, -19], [-19, 14, 6], [6, 22, -7], [-7, 20, 9], [9, 16, -11]] (m)c.f.e: [1, -7, 1, -11, 1, -7, 1, -1, 2, -3, 3, -1, 24, -1, 3, -3, 2, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 165 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 2, 5, 1, 24] Pell solution, x^2- 165 y^2= 1 : [1079, 84] ---------- 4 cycle: [[5, 5, -7], [-7, 9, 3], [3, 9, -7], [-7, 5, 5]] (m)c.f.e: [-1, 3, -1, 1] 4 cycle: [[-5, 5, 7], [7, 9, -3], [-3, 9, 7], [7, 5, -5]] (m)c.f.e: [1, -3, 1, -1] 2 cycle: [[1, 11, -11], [-11, 11, 1]] (m)c.f.e: [-1, 11] 2 cycle: [[-1, 11, 11], [11, 11, -1]] (m)c.f.e: [1, -11] number of reduced forms: 12 partition: [2, 2, 4, 4] ============================== d: 166 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 1, 1, 1, 2, 4, 1, 3, 2, 12, 2, 3, 1, 4, 2, 1, 1, 1, 7, 1, 24] Pell solution, x^2- 166 y^2= 1 : [1700902565, 132015642] ---------- 22 cycle: [[10, 8, -15], [-15, 22, 3], [3, 20, -22], [-22, 24, 1], [1, 24, -22], [-22, 20, 3], [3, 22, -15], [-15, 8, 10], [10, 12, -13], [-13, 14, 9], [9, 22, -5], [-5, 18, 17], [17, 16, -6], [-6, 20, 11], [11, 24, -2], [-2, 24, 11], [11, 20, -6], [-6, 16, 17], [17, 18, -5], [-5, 22, 9], [9, 14, -13], [-13, 12, 10]] (m)c.f.e: [-1, 7, -1, 24, -1, 7, -1, 1, -1, 2, -4, 1, -3, 2, -12, 2, -3, 1, -4, 2, -1, 1] 22 cycle: [[-10, 8, 15], [15, 22, -3], [-3, 20, 22], [22, 24, -1], [-1, 24, 22], [22, 20, -3], [-3, 22, 15], [15, 8, -10], [-10, 12, 13], [13, 14, -9], [-9, 22, 5], [5, 18, -17], [-17, 16, 6], [6, 20, -11], [-11, 24, 2], [2, 24, -11], [-11, 20, 6], [6, 16, -17], [-17, 18, 5], [5, 22, -9], [-9, 14, 13], [13, 12, -10]] (m)c.f.e: [1, -7, 1, -24, 1, -7, 1, -1, 1, -2, 4, -1, 3, -2, 12, -2, 3, -1, 4, -2, 1, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 167 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 11, 1, 24] Pell solution, x^2- 167 y^2= 1 : [168, 13] ---------- 4 cycle: [[2, 22, -23], [-23, 24, 1], [1, 24, -23], [-23, 22, 2]] (m)c.f.e: [-1, 24, -1, 11] 4 cycle: [[-2, 22, 23], [23, 24, -1], [-1, 24, 23], [23, 22, -2]] (m)c.f.e: [1, -24, 1, -11] number of reduced forms: 8 partition: [4, 4] ============================== d: 170 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [26] Pell solution, x^2- 170 y^2= -1 : [13, 1] ---------- 6 cycle: [[13, 2, -13], [-13, 24, 2], [2, 24, -13], [-13, 2, 13], [13, 24, -2], [-2, 24, 13]] (m)c.f.e: [-1, 12, -1, 1, -12, 1] 10 cycle: [[11, 8, -14], [-14, 20, 5], [5, 20, -14], [-14, 8, 11], [11, 14, -11], [-11, 8, 14], [14, 20, -5], [-5, 20, 14], [14, 8, -11], [-11, 14, 11]] (m)c.f.e: [-1, 4, -1, 1, -1, 1, -4, 1, -1, 1] 6 cycle: [[7, 20, -10], [-10, 20, 7], [7, 22, -7], [-7, 20, 10], [10, 20, -7], [-7, 22, 7]] (m)c.f.e: [-2, 3, -3, 2, -3, 3] 2 cycle: [[1, 26, -1], [-1, 26, 1]] (m)c.f.e: [-26, 26] number of reduced forms: 24 partition: [2, 6, 6, 10] ============================== d: 173 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 1, 1, 6, 26] Pell solution, x^2- 173 y^2= -1 : [1118, 85] ---------- 2 cycle: [[1, 13, -1], [-1, 13, 1]] (m)c.f.e: [-13, 13] number of reduced forms: 2 partition: [2] ============================== d: 174 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 4, 5, 26] Pell solution, x^2- 174 y^2= 1 : [1451, 110] ---------- 8 cycle: [[11, 6, -15], [-15, 24, 2], [2, 24, -15], [-15, 6, 11], [11, 16, -10], [-10, 24, 3], [3, 24, -10], [-10, 16, 11]] (m)c.f.e: [-1, 12, -1, 1, -2, 8, -2, 1] 8 cycle: [[-11, 6, 15], [15, 24, -2], [-2, 24, 15], [15, 6, -11], [-11, 16, 10], [10, 24, -3], [-3, 24, 10], [10, 16, -11]] (m)c.f.e: [1, -12, 1, -1, 2, -8, 2, -1] 4 cycle: [[5, 24, -6], [-6, 24, 5], [5, 26, -1], [-1, 26, 5]] (m)c.f.e: [-4, 5, -26, 5] 4 cycle: [[-5, 24, 6], [6, 24, -5], [-5, 26, 1], [1, 26, -5]] (m)c.f.e: [4, -5, 26, -5] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 177 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 3, 2, 8, 2, 3, 3, 26] Pell solution, x^2- 177 y^2= 1 : [62423, 4692] ---------- 12 cycle: [[6, 3, -7], [-7, 11, 2], [2, 13, -1], [-1, 13, 2], [2, 11, -7], [-7, 3, 6], [6, 9, -4], [-4, 7, 8], [8, 9, -3], [-3, 9, 8], [8, 7, -4], [-4, 9, 6]] (m)c.f.e: [-1, 6, -13, 6, -1, 1, -2, 1, -3, 1, -2, 1] 12 cycle: [[-6, 3, 7], [7, 11, -2], [-2, 13, 1], [1, 13, -2], [-2, 11, 7], [7, 3, -6], [-6, 9, 4], [4, 7, -8], [-8, 9, 3], [3, 9, -8], [-8, 7, 4], [4, 9, -6]] (m)c.f.e: [1, -6, 13, -6, 1, -1, 2, -1, 3, -1, 2, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 178 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 12, 1, 2, 26] Pell solution, x^2- 178 y^2= 1 : [1601, 120] ---------- 8 cycle: [[13, 6, -13], [-13, 20, 6], [6, 16, -19], [-19, 22, 3], [3, 26, -3], [-3, 22, 19], [19, 16, -6], [-6, 20, 13]] (m)c.f.e: [-1, 3, -1, 8, -8, 1, -3, 1] 8 cycle: [[-13, 6, 13], [13, 20, -6], [-6, 16, 19], [19, 22, -3], [-3, 26, 3], [3, 22, -19], [-19, 16, 6], [6, 20, -13]] (m)c.f.e: [1, -3, 1, -8, 8, -1, 3, -1] 6 cycle: [[9, 10, -17], [-17, 24, 2], [2, 24, -17], [-17, 10, 9], [9, 26, -1], [-1, 26, 9]] (m)c.f.e: [-1, 12, -1, 2, -26, 2] 6 cycle: [[-9, 10, 17], [17, 24, -2], [-2, 24, 17], [17, 10, -9], [-9, 26, 1], [1, 26, -9]] (m)c.f.e: [1, -12, 1, -2, 26, -2] number of reduced forms: 28 partition: [6, 6, 8, 8] ============================== d: 179 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 1, 3, 5, 13, 5, 3, 1, 1, 1, 2, 26] Pell solution, x^2- 179 y^2= 1 : [4190210, 313191] ---------- 14 cycle: [[11, 10, -14], [-14, 18, 7], [7, 24, -5], [-5, 26, 2], [2, 26, -5], [-5, 24, 7], [7, 18, -14], [-14, 10, 11], [11, 12, -13], [-13, 14, 10], [10, 26, -1], [-1, 26, 10], [10, 14, -13], [-13, 12, 11]] (m)c.f.e: [-1, 3, -5, 13, -5, 3, -1, 1, -1, 2, -26, 2, -1, 1] 14 cycle: [[-11, 10, 14], [14, 18, -7], [-7, 24, 5], [5, 26, -2], [-2, 26, 5], [5, 24, -7], [-7, 18, 14], [14, 10, -11], [-11, 12, 13], [13, 14, -10], [-10, 26, 1], [1, 26, -10], [-10, 14, 13], [13, 12, -11]] (m)c.f.e: [1, -3, 5, -13, 5, -3, 1, -1, 1, -2, 26, -2, 1, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 181 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4, 1, 8, 6, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 6, 8, 1, 4, 2, 26] Pell solution, x^2- 181 y^2= -1 : [1111225770, 82596761] ---------- 10 cycle: [[5, 9, -5], [-5, 11, 3], [3, 13, -1], [-1, 13, 3], [3, 11, -5], [-5, 9, 5], [5, 11, -3], [-3, 13, 1], [1, 13, -3], [-3, 11, 5]] (m)c.f.e: [-2, 4, -13, 4, -2, 2, -4, 13, -4, 2] number of reduced forms: 10 partition: [10] ============================== d: 182 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 26] Pell solution, x^2- 182 y^2= 1 : [27, 2] ---------- 4 cycle: [[7, 14, -19], [-19, 24, 2], [2, 24, -19], [-19, 14, 7]] (m)c.f.e: [-1, 12, -1, 2] 4 cycle: [[-7, 14, 19], [19, 24, -2], [-2, 24, 19], [19, 14, -7]] (m)c.f.e: [1, -12, 1, -2] 2 cycle: [[1, 26, -13], [-13, 26, 1]] (m)c.f.e: [-2, 26] 2 cycle: [[-1, 26, 13], [13, 26, -1]] (m)c.f.e: [2, -26] number of reduced forms: 12 partition: [2, 2, 4, 4] ============================== d: 183 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 8, 1, 1, 26] Pell solution, x^2- 183 y^2= 1 : [487, 36] ---------- 6 cycle: [[13, 2, -14], [-14, 26, 1], [1, 26, -14], [-14, 2, 13], [13, 24, -3], [-3, 24, 13]] (m)c.f.e: [-1, 26, -1, 1, -8, 1] 6 cycle: [[-13, 2, 14], [14, 26, -1], [-1, 26, 14], [14, 2, -13], [-13, 24, 3], [3, 24, -13]] (m)c.f.e: [1, -26, 1, -1, 8, -1] 6 cycle: [[7, 16, -17], [-17, 18, 6], [6, 18, -17], [-17, 16, 7], [7, 26, -2], [-2, 26, 7]] (m)c.f.e: [-1, 3, -1, 3, -13, 3] 6 cycle: [[-7, 16, 17], [17, 18, -6], [-6, 18, 17], [17, 16, -7], [-7, 26, 2], [2, 26, -7]] (m)c.f.e: [1, -3, 1, -3, 13, -3] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 185 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 26] Pell solution, x^2- 185 y^2= -1 : [68, 5] ---------- 10 cycle: [[5, 5, -8], [-8, 11, 2], [2, 13, -2], [-2, 11, 8], [8, 5, -5], [-5, 5, 8], [8, 11, -2], [-2, 13, 2], [2, 11, -8], [-8, 5, 5]] (m)c.f.e: [-1, 6, -6, 1, -1, 1, -6, 6, -1, 1] 6 cycle: [[4, 11, -4], [-4, 13, 1], [1, 13, -4], [-4, 11, 4], [4, 13, -1], [-1, 13, 4]] (m)c.f.e: [-3, 13, -3, 3, -13, 3] number of reduced forms: 16 partition: [6, 10] ============================== d: 186 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 3, 4, 3, 1, 1, 1, 26] Pell solution, x^2- 186 y^2= 1 : [7501, 550] ---------- 10 cycle: [[13, 4, -14], [-14, 24, 3], [3, 24, -14], [-14, 4, 13], [13, 22, -5], [-5, 18, 21], [21, 24, -2], [-2, 24, 21], [21, 18, -5], [-5, 22, 13]] (m)c.f.e: [-1, 8, -1, 1, -4, 1, -12, 1, -4, 1] 10 cycle: [[-13, 4, 14], [14, 24, -3], [-3, 24, 14], [14, 4, -13], [-13, 22, 5], [5, 18, -21], [-21, 24, 2], [2, 24, -21], [-21, 18, 5], [5, 22, -13]] (m)c.f.e: [1, -8, 1, -1, 4, -1, 12, -1, 4, -1] 10 cycle: [[10, 8, -17], [-17, 26, 1], [1, 26, -17], [-17, 8, 10], [10, 12, -15], [-15, 18, 7], [7, 24, -6], [-6, 24, 7], [7, 18, -15], [-15, 12, 10]] (m)c.f.e: [-1, 26, -1, 1, -1, 3, -4, 3, -1, 1] 10 cycle: [[-10, 8, 17], [17, 26, -1], [-1, 26, 17], [17, 8, -10], [-10, 12, 15], [15, 18, -7], [-7, 24, 6], [6, 24, -7], [-7, 18, 15], [15, 12, -10]] (m)c.f.e: [1, -26, 1, -1, 1, -3, 4, -3, 1, -1] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 187 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 13, 2, 1, 26] Pell solution, x^2- 187 y^2= 1 : [1682, 123] ---------- 6 cycle: [[9, 10, -18], [-18, 26, 1], [1, 26, -18], [-18, 10, 9], [9, 26, -2], [-2, 26, 9]] (m)c.f.e: [-1, 26, -1, 2, -13, 2] 6 cycle: [[-9, 10, 18], [18, 26, -1], [-1, 26, 18], [18, 10, -9], [-9, 26, 2], [2, 26, -9]] (m)c.f.e: [1, -26, 1, -2, 13, -2] 6 cycle: [[3, 22, -22], [-22, 22, 3], [3, 26, -6], [-6, 22, 11], [11, 22, -6], [-6, 26, 3]] (m)c.f.e: [-1, 8, -4, 2, -4, 8] 6 cycle: [[-3, 22, 22], [22, 22, -3], [-3, 26, 6], [6, 22, -11], [-11, 22, 6], [6, 26, -3]] (m)c.f.e: [1, -8, 4, -2, 4, -8] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 190 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 1, 26] Pell solution, x^2- 190 y^2= 1 : [52021, 3774] ---------- 14 cycle: [[11, 10, -15], [-15, 20, 6], [6, 16, -21], [-21, 26, 1], [1, 26, -21], [-21, 16, 6], [6, 20, -15], [-15, 10, 11], [11, 12, -14], [-14, 16, 9], [9, 20, -10], [-10, 20, 9], [9, 16, -14], [-14, 12, 11]] (m)c.f.e: [-1, 3, -1, 26, -1, 3, -1, 1, -1, 2, -2, 2, -1, 1] 14 cycle: [[-11, 10, 15], [15, 20, -6], [-6, 16, 21], [21, 26, -1], [-1, 26, 21], [21, 16, -6], [-6, 20, 15], [15, 10, -11], [-11, 12, 14], [14, 16, -9], [-9, 20, 10], [10, 20, -9], [-9, 16, 14], [14, 12, -11]] (m)c.f.e: [1, -3, 1, -26, 1, -3, 1, -1, 1, -2, 2, -2, 1, -1] 10 cycle: [[7, 16, -18], [-18, 20, 5], [5, 20, -18], [-18, 16, 7], [7, 26, -3], [-3, 22, 23], [23, 24, -2], [-2, 24, 23], [23, 22, -3], [-3, 26, 7]] (m)c.f.e: [-1, 4, -1, 3, -8, 1, -12, 1, -8, 3] 10 cycle: [[-7, 16, 18], [18, 20, -5], [-5, 20, 18], [18, 16, -7], [-7, 26, 3], [3, 22, -23], [-23, 24, 2], [2, 24, -23], [-23, 22, 3], [3, 26, -7]] (m)c.f.e: [1, -4, 1, -3, 8, -1, 12, -1, 8, -3] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 191 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 1, 3, 2, 2, 13, 2, 2, 3, 1, 1, 4, 1, 26] Pell solution, x^2- 191 y^2= 1 : [8994000, 650783] ---------- 16 cycle: [[13, 6, -14], [-14, 22, 5], [5, 18, -22], [-22, 26, 1], [1, 26, -22], [-22, 18, 5], [5, 22, -14], [-14, 6, 13], [13, 20, -7], [-7, 22, 10], [10, 18, -11], [-11, 26, 2], [2, 26, -11], [-11, 18, 10], [10, 22, -7], [-7, 20, 13]] (m)c.f.e: [-1, 4, -1, 26, -1, 4, -1, 1, -3, 2, -2, 13, -2, 2, -3, 1] 16 cycle: [[-13, 6, 14], [14, 22, -5], [-5, 18, 22], [22, 26, -1], [-1, 26, 22], [22, 18, -5], [-5, 22, 14], [14, 6, -13], [-13, 20, 7], [7, 22, -10], [-10, 18, 11], [11, 26, -2], [-2, 26, 11], [11, 18, -10], [-10, 22, 7], [7, 20, -13]] (m)c.f.e: [1, -4, 1, -26, 1, -4, 1, -1, 3, -2, 2, -13, 2, -2, 3, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 193 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26] Pell solution, x^2- 193 y^2= -1 : [1764132, 126985] ---------- 30 cycle: [[6, 5, -7], [-7, 9, 4], [4, 7, -9], [-9, 11, 2], [2, 13, -3], [-3, 11, 6], [6, 13, -1], [-1, 13, 6], [6, 11, -3], [-3, 13, 2], [2, 11, -9], [-9, 7, 4], [4, 9, -7], [-7, 5, 6], [6, 7, -6], [-6, 5, 7], [7, 9, -4], [-4, 7, 9], [9, 11, -2], [-2, 13, 3], [3, 11, -6], [-6, 13, 1], [1, 13, -6], [-6, 11, 3], [3, 13, -2], [-2, 11, 9], [9, 7, -4], [-4, 9, 7], [7, 5, -6], [-6, 7, 6]] (m)c.f.e: [-1, 2, -1, 6, -4, 2, -13, 2, -4, 6, -1, 2, -1, 1, -1, 1, -2, 1, -6, 4, -2, 13, -2, 4, -6, 1, -2, 1, -1, 1] number of reduced forms: 30 partition: [30] ============================== d: 194 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 12, 1, 26] Pell solution, x^2- 194 y^2= 1 : [195, 14] ---------- 6 cycle: [[13, 10, -13], [-13, 16, 10], [10, 24, -5], [-5, 26, 5], [5, 24, -10], [-10, 16, 13]] (m)c.f.e: [-1, 2, -5, 5, -2, 1] 6 cycle: [[-13, 10, 13], [13, 16, -10], [-10, 24, 5], [5, 26, -5], [-5, 24, 10], [10, 16, -13]] (m)c.f.e: [1, -2, 5, -5, 2, -1] 4 cycle: [[2, 24, -25], [-25, 26, 1], [1, 26, -25], [-25, 24, 2]] (m)c.f.e: [-1, 26, -1, 12] 4 cycle: [[-2, 24, 25], [25, 26, -1], [-1, 26, 25], [25, 24, -2]] (m)c.f.e: [1, -26, 1, -12] number of reduced forms: 20 partition: [4, 4, 6, 6] ============================== d: 195 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 26] Pell solution, x^2- 195 y^2= 1 : [14, 1] ---------- 4 cycle: [[10, 10, -17], [-17, 24, 3], [3, 24, -17], [-17, 10, 10]] (m)c.f.e: [-1, 8, -1, 1] 4 cycle: [[-10, 10, 17], [17, 24, -3], [-3, 24, 17], [17, 10, -10]] (m)c.f.e: [1, -8, 1, -1] 4 cycle: [[6, 18, -19], [-19, 20, 5], [5, 20, -19], [-19, 18, 6]] (m)c.f.e: [-1, 4, -1, 3] 4 cycle: [[-6, 18, 19], [19, 20, -5], [-5, 20, 19], [19, 18, -6]] (m)c.f.e: [1, -4, 1, -3] 2 cycle: [[1, 26, -26], [-26, 26, 1]] (m)c.f.e: [-1, 26] 2 cycle: [[-1, 26, 26], [26, 26, -1]] (m)c.f.e: [1, -26] 2 cycle: [[2, 26, -13], [-13, 26, 2]] (m)c.f.e: [-2, 13] 2 cycle: [[-2, 26, 13], [13, 26, -2]] (m)c.f.e: [2, -13] number of reduced forms: 24 partition: [2, 2, 2, 2, 4, 4, 4, 4] ============================== d: 197 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [28] Pell solution, x^2- 197 y^2= -1 : [14, 1] ---------- 6 cycle: [[7, 1, -7], [-7, 13, 1], [1, 13, -7], [-7, 1, 7], [7, 13, -1], [-1, 13, 7]] (m)c.f.e: [-1, 13, -1, 1, -13, 1] number of reduced forms: 6 partition: [6] ============================== d: 199 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [9, 2, 1, 2, 2, 5, 4, 1, 1, 13, 1, 1, 4, 5, 2, 2, 1, 2, 9, 28] Pell solution, x^2- 199 y^2= 1 : [16266196520, 1153080099] ---------- 20 cycle: [[13, 4, -15], [-15, 26, 2], [2, 26, -15], [-15, 4, 13], [13, 22, -6], [-6, 26, 5], [5, 24, -11], [-11, 20, 9], [9, 16, -15], [-15, 14, 10], [10, 26, -3], [-3, 28, 1], [1, 28, -3], [-3, 26, 10], [10, 14, -15], [-15, 16, 9], [9, 20, -11], [-11, 24, 5], [5, 26, -6], [-6, 22, 13]] (m)c.f.e: [-1, 13, -1, 1, -4, 5, -2, 2, -1, 2, -9, 28, -9, 2, -1, 2, -2, 5, -4, 1] 20 cycle: [[-13, 4, 15], [15, 26, -2], [-2, 26, 15], [15, 4, -13], [-13, 22, 6], [6, 26, -5], [-5, 24, 11], [11, 20, -9], [-9, 16, 15], [15, 14, -10], [-10, 26, 3], [3, 28, -1], [-1, 28, 3], [3, 26, -10], [-10, 14, 15], [15, 16, -9], [-9, 20, 11], [11, 24, -5], [-5, 26, 6], [6, 22, -13]] (m)c.f.e: [1, -13, 1, -1, 4, -5, 2, -2, 1, -2, 9, -28, 9, -2, 1, -2, 2, -5, 4, -1] number of reduced forms: 40 partition: [20, 20] ============================== d: 201 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 1, 1, 2, 1, 8, 1, 2, 1, 1, 1, 5, 28] Pell solution, x^2- 201 y^2= 1 : [515095, 36332] ---------- 14 cycle: [[6, 3, -8], [-8, 13, 1], [1, 13, -8], [-8, 3, 6], [6, 9, -5], [-5, 11, 4], [4, 13, -2], [-2, 11, 10], [10, 9, -3], [-3, 9, 10], [10, 11, -2], [-2, 13, 4], [4, 11, -5], [-5, 9, 6]] (m)c.f.e: [-1, 13, -1, 1, -2, 3, -6, 1, -3, 1, -6, 3, -2, 1] 14 cycle: [[-6, 3, 8], [8, 13, -1], [-1, 13, 8], [8, 3, -6], [-6, 9, 5], [5, 11, -4], [-4, 13, 2], [2, 11, -10], [-10, 9, 3], [3, 9, -10], [-10, 11, 2], [2, 13, -4], [-4, 11, 5], [5, 9, -6]] (m)c.f.e: [1, -13, 1, -1, 2, -3, 6, -1, 3, -1, 6, -3, 2, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 202 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 2, 2, 1, 4, 28] Pell solution, x^2- 202 y^2= -1 : [3141, 221] ---------- 14 cycle: [[9, 14, -17], [-17, 20, 6], [6, 28, -1], [-1, 28, 6], [6, 20, -17], [-17, 14, 9], [9, 22, -9], [-9, 14, 17], [17, 20, -6], [-6, 28, 1], [1, 28, -6], [-6, 20, 17], [17, 14, -9], [-9, 22, 9]] (m)c.f.e: [-1, 4, -28, 4, -1, 2, -2, 1, -4, 28, -4, 1, -2, 2] 10 cycle: [[11, 18, -11], [-11, 26, 3], [3, 28, -2], [-2, 28, 3], [3, 26, -11], [-11, 18, 11], [11, 26, -3], [-3, 28, 2], [2, 28, -3], [-3, 26, 11]] (m)c.f.e: [-2, 9, -14, 9, -2, 2, -9, 14, -9, 2] number of reduced forms: 24 partition: [10, 14] ============================== d: 203 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 28] Pell solution, x^2- 203 y^2= 1 : [57, 4] ---------- 6 cycle: [[11, 8, -17], [-17, 26, 2], [2, 26, -17], [-17, 8, 11], [11, 14, -14], [-14, 14, 11]] (m)c.f.e: [-1, 13, -1, 1, -1, 1] 6 cycle: [[-11, 8, 17], [17, 26, -2], [-2, 26, 17], [17, 8, -11], [-11, 14, 14], [14, 14, -11]] (m)c.f.e: [1, -13, 1, -1, 1, -1] 2 cycle: [[1, 28, -7], [-7, 28, 1]] (m)c.f.e: [-4, 28] 2 cycle: [[-1, 28, 7], [7, 28, -1]] (m)c.f.e: [4, -28] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 205 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 6, 1, 4, 1, 6, 3, 28] Pell solution, x^2- 205 y^2= 1 : [39689, 2772] ---------- 4 cycle: [[7, 3, -7], [-7, 11, 3], [3, 13, -3], [-3, 11, 7]] (m)c.f.e: [-1, 4, -4, 1] 4 cycle: [[-7, 3, 7], [7, 11, -3], [-3, 13, 3], [3, 11, -7]] (m)c.f.e: [1, -4, 4, -1] 4 cycle: [[5, 5, -9], [-9, 13, 1], [1, 13, -9], [-9, 5, 5]] (m)c.f.e: [-1, 13, -1, 1] 4 cycle: [[-5, 5, 9], [9, 13, -1], [-1, 13, 9], [9, 5, -5]] (m)c.f.e: [1, -13, 1, -1] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 206 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 5, 14, 5, 1, 2, 28] Pell solution, x^2- 206 y^2= 1 : [59535, 4148] ---------- 8 cycle: [[10, 12, -17], [-17, 22, 5], [5, 28, -2], [-2, 28, 5], [5, 22, -17], [-17, 12, 10], [10, 28, -1], [-1, 28, 10]] (m)c.f.e: [-1, 5, -14, 5, -1, 2, -28, 2] 8 cycle: [[-10, 12, 17], [17, 22, -5], [-5, 28, 2], [2, 28, -5], [-5, 22, 17], [17, 12, -10], [-10, 28, 1], [1, 28, -10]] (m)c.f.e: [1, -5, 14, -5, 1, -2, 28, -2] number of reduced forms: 16 partition: [8, 8] ============================== d: 209 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 5, 3, 2, 3, 5, 2, 28] Pell solution, x^2- 209 y^2= 1 : [46551, 3220] ---------- 12 cycle: [[4, 7, -10], [-10, 13, 1], [1, 13, -10], [-10, 7, 4], [4, 9, -8], [-8, 7, 5], [5, 13, -2], [-2, 11, 11], [11, 11, -2], [-2, 13, 5], [5, 7, -8], [-8, 9, 4]] (m)c.f.e: [-1, 13, -1, 2, -1, 2, -6, 1, -6, 2, -1, 2] 12 cycle: [[-4, 7, 10], [10, 13, -1], [-1, 13, 10], [10, 7, -4], [-4, 9, 8], [8, 7, -5], [-5, 13, 2], [2, 11, -11], [-11, 11, 2], [2, 13, -5], [-5, 7, 8], [8, 9, -4]] (m)c.f.e: [1, -13, 1, -2, 1, -2, 6, -1, 6, -2, 1, -2] number of reduced forms: 24 partition: [12, 12] ============================== d: 210 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 28] Pell solution, x^2- 210 y^2= 1 : [29, 2] ---------- 4 cycle: [[5, 20, -22], [-22, 24, 3], [3, 24, -22], [-22, 20, 5]] (m)c.f.e: [-1, 8, -1, 4] 4 cycle: [[-5, 20, 22], [22, 24, -3], [-3, 24, 22], [22, 20, -5]] (m)c.f.e: [1, -8, 1, -4] 4 cycle: [[10, 20, -11], [-11, 24, 6], [6, 24, -11], [-11, 20, 10]] (m)c.f.e: [-2, 4, -2, 2] 4 cycle: [[-10, 20, 11], [11, 24, -6], [-6, 24, 11], [11, 20, -10]] (m)c.f.e: [2, -4, 2, -2] 2 cycle: [[1, 28, -14], [-14, 28, 1]] (m)c.f.e: [-2, 28] 2 cycle: [[-1, 28, 14], [14, 28, -1]] (m)c.f.e: [2, -28] 2 cycle: [[2, 28, -7], [-7, 28, 2]] (m)c.f.e: [-4, 14] 2 cycle: [[-2, 28, 7], [7, 28, -2]] (m)c.f.e: [4, -14] number of reduced forms: 24 partition: [2, 2, 2, 2, 4, 4, 4, 4] ============================== d: 211 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 9, 5, 1, 2, 2, 1, 1, 4, 3, 1, 13, 1, 3, 4, 1, 1, 2, 2, 1, 5, 9, 1, 1, 28] Pell solution, x^2- 211 y^2= 1 : [278354373650, 19162705353] ---------- 26 cycle: [[14, 2, -15], [-15, 28, 1], [1, 28, -15], [-15, 2, 14], [14, 26, -3], [-3, 28, 5], [5, 22, -18], [-18, 14, 9], [9, 22, -10], [-10, 18, 13], [13, 8, -15], [-15, 22, 6], [6, 26, -7], [-7, 16, 21], [21, 26, -2], [-2, 26, 21], [21, 16, -7], [-7, 26, 6], [6, 22, -15], [-15, 8, 13], [13, 18, -10], [-10, 22, 9], [9, 14, -18], [-18, 22, 5], [5, 28, -3], [-3, 26, 14]] (m)c.f.e: [-1, 28, -1, 1, -9, 5, -1, 2, -2, 1, -1, 4, -3, 1, -13, 1, -3, 4, -1, 1, -2, 2, -1, 5, -9, 1] 26 cycle: [[-14, 2, 15], [15, 28, -1], [-1, 28, 15], [15, 2, -14], [-14, 26, 3], [3, 28, -5], [-5, 22, 18], [18, 14, -9], [-9, 22, 10], [10, 18, -13], [-13, 8, 15], [15, 22, -6], [-6, 26, 7], [7, 16, -21], [-21, 26, 2], [2, 26, -21], [-21, 16, 7], [7, 26, -6], [-6, 22, 15], [15, 8, -13], [-13, 18, 10], [10, 22, -9], [-9, 14, 18], [18, 22, -5], [-5, 28, 3], [3, 26, -14]] (m)c.f.e: [1, -28, 1, -1, 9, -5, 1, -2, 2, -1, 1, -4, 3, -1, 13, -1, 3, -4, 1, -1, 2, -2, 1, -5, 9, -1] number of reduced forms: 52 partition: [26, 26] ============================== d: 213 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28] Pell solution, x^2- 213 y^2= 1 : [194399, 13320] ---------- 4 cycle: [[3, 9, -11], [-11, 13, 1], [1, 13, -11], [-11, 9, 3]] (m)c.f.e: [-1, 13, -1, 3] 4 cycle: [[-3, 9, 11], [11, 13, -1], [-1, 13, 11], [11, 9, -3]] (m)c.f.e: [1, -13, 1, -3] number of reduced forms: 8 partition: [4, 4] ============================== d: 214 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 3, 1, 4, 9, 1, 1, 5, 3, 14, 3, 5, 1, 1, 9, 4, 1, 3, 2, 1, 1, 1, 28] Pell solution, x^2- 214 y^2= 1 : [695359189925, 47533775646] ---------- 26 cycle: [[14, 4, -15], [-15, 26, 3], [3, 28, -6], [-6, 20, 19], [19, 18, -7], [-7, 24, 10], [10, 16, -15], [-15, 14, 11], [11, 8, -18], [-18, 28, 1], [1, 28, -18], [-18, 8, 11], [11, 14, -15], [-15, 16, 10], [10, 24, -7], [-7, 18, 19], [19, 20, -6], [-6, 28, 3], [3, 26, -15], [-15, 4, 14], [14, 24, -5], [-5, 26, 9], [9, 28, -2], [-2, 28, 9], [9, 26, -5], [-5, 24, 14]] (m)c.f.e: [-1, 9, -4, 1, -3, 2, -1, 1, -1, 28, -1, 1, -1, 2, -3, 1, -4, 9, -1, 1, -5, 3, -14, 3, -5, 1] 26 cycle: [[-14, 4, 15], [15, 26, -3], [-3, 28, 6], [6, 20, -19], [-19, 18, 7], [7, 24, -10], [-10, 16, 15], [15, 14, -11], [-11, 8, 18], [18, 28, -1], [-1, 28, 18], [18, 8, -11], [-11, 14, 15], [15, 16, -10], [-10, 24, 7], [7, 18, -19], [-19, 20, 6], [6, 28, -3], [-3, 26, 15], [15, 4, -14], [-14, 24, 5], [5, 26, -9], [-9, 28, 2], [2, 28, -9], [-9, 26, 5], [5, 24, -14]] (m)c.f.e: [1, -9, 4, -1, 3, -2, 1, -1, 1, -28, 1, -1, 1, -2, 3, -1, 4, -9, 1, -1, 5, -3, 14, -3, 5, -1] number of reduced forms: 52 partition: [26, 26] ============================== d: 215 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 28] Pell solution, x^2- 215 y^2= 1 : [44, 3] ---------- 4 cycle: [[10, 10, -19], [-19, 28, 1], [1, 28, -19], [-19, 10, 10]] (m)c.f.e: [-1, 28, -1, 1] 4 cycle: [[-10, 10, 19], [19, 28, -1], [-1, 28, 19], [19, 10, -10]] (m)c.f.e: [1, -28, 1, -1] 4 cycle: [[5, 20, -23], [-23, 26, 2], [2, 26, -23], [-23, 20, 5]] (m)c.f.e: [-1, 13, -1, 4] 4 cycle: [[-5, 20, 23], [23, 26, -2], [-2, 26, 23], [23, 20, -5]] (m)c.f.e: [1, -13, 1, -4] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 217 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 2, 1, 1, 9, 4, 9, 1, 1, 2, 1, 2, 1, 28] Pell solution, x^2- 217 y^2= 1 : [3844063, 260952] ---------- 16 cycle: [[6, 5, -8], [-8, 11, 3], [3, 13, -4], [-4, 11, 6], [6, 13, -2], [-2, 11, 12], [12, 13, -1], [-1, 13, 12], [12, 11, -2], [-2, 13, 6], [6, 11, -4], [-4, 13, 3], [3, 11, -8], [-8, 5, 6], [6, 7, -7], [-7, 7, 6]] (m)c.f.e: [-1, 4, -3, 2, -6, 1, -13, 1, -6, 2, -3, 4, -1, 1, -1, 1] 16 cycle: [[-6, 5, 8], [8, 11, -3], [-3, 13, 4], [4, 11, -6], [-6, 13, 2], [2, 11, -12], [-12, 13, 1], [1, 13, -12], [-12, 11, 2], [2, 13, -6], [-6, 11, 4], [4, 13, -3], [-3, 11, 8], [8, 5, -6], [-6, 7, 7], [7, 7, -6]] (m)c.f.e: [1, -4, 3, -2, 6, -1, 13, -1, 6, -2, 3, -4, 1, -1, 1, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 218 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 3, 1, 28] Pell solution, x^2- 218 y^2= -1 : [251, 17] ---------- 14 cycle: [[13, 12, -14], [-14, 16, 11], [11, 28, -2], [-2, 28, 11], [11, 16, -14], [-14, 12, 13], [13, 14, -13], [-13, 12, 14], [14, 16, -11], [-11, 28, 2], [2, 28, -11], [-11, 16, 14], [14, 12, -13], [-13, 14, 13]] (m)c.f.e: [-1, 2, -14, 2, -1, 1, -1, 1, -2, 14, -2, 1, -1, 1] 10 cycle: [[7, 16, -22], [-22, 28, 1], [1, 28, -22], [-22, 16, 7], [7, 26, -7], [-7, 16, 22], [22, 28, -1], [-1, 28, 22], [22, 16, -7], [-7, 26, 7]] (m)c.f.e: [-1, 28, -1, 3, -3, 1, -28, 1, -3, 3] number of reduced forms: 24 partition: [10, 14] ============================== d: 219 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 28] Pell solution, x^2- 219 y^2= 1 : [74, 5] ---------- 6 cycle: [[14, 6, -15], [-15, 24, 5], [5, 26, -10], [-10, 14, 17], [17, 20, -7], [-7, 22, 14]] (m)c.f.e: [-1, 5, -2, 1, -3, 1] 6 cycle: [[-14, 6, 15], [15, 24, -5], [-5, 26, 10], [10, 14, -17], [-17, 20, 7], [7, 22, -14]] (m)c.f.e: [1, -5, 2, -1, 3, -1] 6 cycle: [[15, 6, -14], [-14, 22, 7], [7, 20, -17], [-17, 14, 10], [10, 26, -5], [-5, 24, 15]] (m)c.f.e: [-1, 3, -1, 2, -5, 1] 6 cycle: [[-15, 6, 14], [14, 22, -7], [-7, 20, 17], [17, 14, -10], [-10, 26, 5], [5, 24, -15]] (m)c.f.e: [1, -3, 1, -2, 5, -1] 4 cycle: [[6, 18, -23], [-23, 28, 1], [1, 28, -23], [-23, 18, 6]] (m)c.f.e: [-1, 28, -1, 3] 4 cycle: [[-6, 18, 23], [23, 28, -1], [-1, 28, 23], [23, 18, -6]] (m)c.f.e: [1, -28, 1, -3] 4 cycle: [[3, 24, -25], [-25, 26, 2], [2, 26, -25], [-25, 24, 3]] (m)c.f.e: [-1, 13, -1, 8] 4 cycle: [[-3, 24, 25], [25, 26, -2], [-2, 26, 25], [25, 24, -3]] (m)c.f.e: [1, -13, 1, -8] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 221 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 2, 6, 1, 28] Pell solution, x^2- 221 y^2= 1 : [1665, 112] ---------- 4 cycle: [[7, 5, -7], [-7, 9, 5], [5, 11, -5], [-5, 9, 7]] (m)c.f.e: [-1, 2, -2, 1] 4 cycle: [[-7, 5, 7], [7, 9, -5], [-5, 11, 5], [5, 9, -7]] (m)c.f.e: [1, -2, 2, -1] 2 cycle: [[1, 13, -13], [-13, 13, 1]] (m)c.f.e: [-1, 13] 2 cycle: [[-1, 13, 13], [13, 13, -1]] (m)c.f.e: [1, -13] number of reduced forms: 12 partition: [2, 2, 4, 4] ============================== d: 222 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 1, 28] Pell solution, x^2- 222 y^2= 1 : [149, 10] ---------- 4 cycle: [[3, 24, -26], [-26, 28, 1], [1, 28, -26], [-26, 24, 3]] (m)c.f.e: [-1, 28, -1, 8] 4 cycle: [[-3, 24, 26], [26, 28, -1], [-1, 28, 26], [26, 24, -3]] (m)c.f.e: [1, -28, 1, -8] 4 cycle: [[6, 24, -13], [-13, 28, 2], [2, 28, -13], [-13, 24, 6]] (m)c.f.e: [-2, 14, -2, 4] 4 cycle: [[-6, 24, 13], [13, 28, -2], [-2, 28, 13], [13, 24, -6]] (m)c.f.e: [2, -14, 2, -4] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 223 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 13, 1, 28] Pell solution, x^2- 223 y^2= 1 : [224, 15] ---------- 6 cycle: [[11, 10, -18], [-18, 26, 3], [3, 28, -9], [-9, 26, 6], [6, 22, -17], [-17, 12, 11]] (m)c.f.e: [-1, 9, -3, 4, -1, 1] 6 cycle: [[-11, 10, 18], [18, 26, -3], [-3, 28, 9], [9, 26, -6], [-6, 22, 17], [17, 12, -11]] (m)c.f.e: [1, -9, 3, -4, 1, -1] 6 cycle: [[18, 10, -11], [-11, 12, 17], [17, 22, -6], [-6, 26, 9], [9, 28, -3], [-3, 26, 18]] (m)c.f.e: [-1, 1, -4, 3, -9, 1] 6 cycle: [[-18, 10, 11], [11, 12, -17], [-17, 22, 6], [6, 26, -9], [-9, 28, 3], [3, 26, -18]] (m)c.f.e: [1, -1, 4, -3, 9, -1] 4 cycle: [[2, 26, -27], [-27, 28, 1], [1, 28, -27], [-27, 26, 2]] (m)c.f.e: [-1, 28, -1, 13] 4 cycle: [[-2, 26, 27], [27, 28, -1], [-1, 28, 27], [27, 26, -2]] (m)c.f.e: [1, -28, 1, -13] number of reduced forms: 32 partition: [4, 4, 6, 6, 6, 6] ============================== d: 226 number of cycles (narrow class number): 8 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [30] Pell solution, x^2- 226 y^2= -1 : [15, 1] ---------- 6 cycle: [[15, 2, -15], [-15, 28, 2], [2, 28, -15], [-15, 2, 15], [15, 28, -2], [-2, 28, 15]] (m)c.f.e: [-1, 14, -1, 1, -14, 1] 10 cycle: [[14, 8, -15], [-15, 22, 7], [7, 20, -18], [-18, 16, 9], [9, 20, -14], [-14, 8, 15], [15, 22, -7], [-7, 20, 18], [18, 16, -9], [-9, 20, 14]] (m)c.f.e: [-1, 3, -1, 2, -1, 1, -3, 1, -2, 1] 10 cycle: [[15, 8, -14], [-14, 20, 9], [9, 16, -18], [-18, 20, 7], [7, 22, -15], [-15, 8, 14], [14, 20, -9], [-9, 16, 18], [18, 20, -7], [-7, 22, 15]] (m)c.f.e: [-1, 2, -1, 3, -1, 1, -2, 1, -3, 1] 6 cycle: [[10, 12, -19], [-19, 26, 3], [3, 28, -10], [-10, 12, 19], [19, 26, -3], [-3, 28, 10]] (m)c.f.e: [-1, 9, -2, 1, -9, 2] 6 cycle: [[19, 12, -10], [-10, 28, 3], [3, 26, -19], [-19, 12, 10], [10, 28, -3], [-3, 26, 19]] (m)c.f.e: [-2, 9, -1, 2, -9, 1] 6 cycle: [[6, 20, -21], [-21, 22, 5], [5, 28, -6], [-6, 20, 21], [21, 22, -5], [-5, 28, 6]] (m)c.f.e: [-1, 5, -4, 1, -5, 4] 6 cycle: [[21, 20, -6], [-6, 28, 5], [5, 22, -21], [-21, 20, 6], [6, 28, -5], [-5, 22, 21]] (m)c.f.e: [-4, 5, -1, 4, -5, 1] 2 cycle: [[1, 30, -1], [-1, 30, 1]] (m)c.f.e: [-30, 30] number of reduced forms: 52 partition: [2, 6, 6, 6, 6, 6, 10, 10] ============================== d: 227 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [15, 30] Pell solution, x^2- 227 y^2= 1 : [226, 15] ---------- 2 cycle: [[1, 30, -2], [-2, 30, 1]] (m)c.f.e: [-15, 30] 2 cycle: [[-1, 30, 2], [2, 30, -1]] (m)c.f.e: [15, -30] number of reduced forms: 4 partition: [2, 2] ============================== d: 229 number of cycles (narrow class number): 3 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 1, 1, 7, 30] Pell solution, x^2- 229 y^2= -1 : [1710, 113] ---------- 6 cycle: [[5, 7, -9], [-9, 11, 3], [3, 13, -5], [-5, 7, 9], [9, 11, -3], [-3, 13, 5]] (m)c.f.e: [-1, 4, -2, 1, -4, 2] 6 cycle: [[9, 7, -5], [-5, 13, 3], [3, 11, -9], [-9, 7, 5], [5, 13, -3], [-3, 11, 9]] (m)c.f.e: [-2, 4, -1, 2, -4, 1] 2 cycle: [[1, 15, -1], [-1, 15, 1]] (m)c.f.e: [-15, 15] number of reduced forms: 14 partition: [2, 6, 6] ============================== d: 230 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 30] Pell solution, x^2- 230 y^2= 1 : [91, 6] ---------- 6 cycle: [[13, 6, -17], [-17, 28, 2], [2, 28, -17], [-17, 6, 13], [13, 20, -10], [-10, 20, 13]] (m)c.f.e: [-1, 14, -1, 1, -2, 1] 6 cycle: [[-13, 6, 17], [17, 28, -2], [-2, 28, 17], [17, 6, -13], [-13, 20, 10], [10, 20, -13]] (m)c.f.e: [1, -14, 1, -1, 2, -1] 2 cycle: [[1, 30, -5], [-5, 30, 1]] (m)c.f.e: [-6, 30] 2 cycle: [[-1, 30, 5], [5, 30, -1]] (m)c.f.e: [6, -30] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 231 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 30] Pell solution, x^2- 231 y^2= 1 : [76, 5] ---------- 8 cycle: [[13, 12, -15], [-15, 18, 10], [10, 22, -11], [-11, 22, 10], [10, 18, -15], [-15, 12, 13], [13, 14, -14], [-14, 14, 13]] (m)c.f.e: [-1, 2, -2, 2, -1, 1, -1, 1] 8 cycle: [[-13, 12, 15], [15, 18, -10], [-10, 22, 11], [11, 22, -10], [-10, 18, 15], [15, 12, -13], [-13, 14, 14], [14, 14, -13]] (m)c.f.e: [1, -2, 2, -2, 1, -1, 1, -1] 4 cycle: [[5, 22, -22], [-22, 22, 5], [5, 28, -7], [-7, 28, 5]] (m)c.f.e: [-1, 5, -4, 5] 4 cycle: [[-5, 22, 22], [22, 22, -5], [-5, 28, 7], [7, 28, -5]] (m)c.f.e: [1, -5, 4, -5] 2 cycle: [[1, 30, -6], [-6, 30, 1]] (m)c.f.e: [-5, 30] 2 cycle: [[-1, 30, 6], [6, 30, -1]] (m)c.f.e: [5, -30] 2 cycle: [[2, 30, -3], [-3, 30, 2]] (m)c.f.e: [-10, 15] 2 cycle: [[-2, 30, 3], [3, 30, -2]] (m)c.f.e: [10, -15] number of reduced forms: 32 partition: [2, 2, 2, 2, 4, 4, 8, 8] ============================== d: 233 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30] Pell solution, x^2- 233 y^2= -1 : [23156, 1517] ---------- 18 cycle: [[7, 3, -8], [-8, 13, 2], [2, 15, -1], [-1, 15, 2], [2, 13, -8], [-8, 3, 7], [7, 11, -4], [-4, 13, 4], [4, 11, -7], [-7, 3, 8], [8, 13, -2], [-2, 15, 1], [1, 15, -2], [-2, 13, 8], [8, 3, -7], [-7, 11, 4], [4, 13, -4], [-4, 11, 7]] (m)c.f.e: [-1, 7, -15, 7, -1, 1, -3, 3, -1, 1, -7, 15, -7, 1, -1, 3, -3, 1] number of reduced forms: 18 partition: [18] ============================== d: 235 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 30] Pell solution, x^2- 235 y^2= 1 : [46, 3] ---------- 6 cycle: [[14, 10, -15], [-15, 20, 9], [9, 16, -19], [-19, 22, 6], [6, 26, -11], [-11, 18, 14]] (m)c.f.e: [-1, 2, -1, 4, -2, 1] 6 cycle: [[-14, 10, 15], [15, 20, -9], [-9, 16, 19], [19, 22, -6], [-6, 26, 11], [11, 18, -14]] (m)c.f.e: [1, -2, 1, -4, 2, -1] 6 cycle: [[15, 10, -14], [-14, 18, 11], [11, 26, -6], [-6, 22, 19], [19, 16, -9], [-9, 20, 15]] (m)c.f.e: [-1, 2, -4, 1, -2, 1] 6 cycle: [[-15, 10, 14], [14, 18, -11], [-11, 26, 6], [6, 22, -19], [-19, 16, 9], [9, 20, -15]] (m)c.f.e: [1, -2, 4, -1, 2, -1] 4 cycle: [[7, 18, -22], [-22, 26, 3], [3, 28, -13], [-13, 24, 7]] (m)c.f.e: [-1, 9, -2, 3] 4 cycle: [[-7, 18, 22], [22, 26, -3], [-3, 28, 13], [13, 24, -7]] (m)c.f.e: [1, -9, 2, -3] 4 cycle: [[22, 18, -7], [-7, 24, 13], [13, 28, -3], [-3, 26, 22]] (m)c.f.e: [-3, 2, -9, 1] 4 cycle: [[-22, 18, 7], [7, 24, -13], [-13, 28, 3], [3, 26, -22]] (m)c.f.e: [3, -2, 9, -1] 2 cycle: [[1, 30, -10], [-10, 30, 1]] (m)c.f.e: [-3, 30] 2 cycle: [[-1, 30, 10], [10, 30, -1]] (m)c.f.e: [3, -30] 2 cycle: [[2, 30, -5], [-5, 30, 2]] (m)c.f.e: [-6, 15] 2 cycle: [[-2, 30, 5], [5, 30, -2]] (m)c.f.e: [6, -15] number of reduced forms: 48 partition: [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 237 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 7, 10, 7, 1, 1, 2, 30] Pell solution, x^2- 237 y^2= 1 : [228151, 14820] ---------- 2 cycle: [[1, 15, -3], [-3, 15, 1]] (m)c.f.e: [-5, 15] 2 cycle: [[-1, 15, 3], [3, 15, -1]] (m)c.f.e: [5, -15] number of reduced forms: 4 partition: [2, 2] ============================== d: 238 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 1, 14, 1, 2, 2, 30] Pell solution, x^2- 238 y^2= 1 : [11663, 756] ---------- 8 cycle: [[9, 14, -21], [-21, 28, 2], [2, 28, -21], [-21, 14, 9], [9, 22, -13], [-13, 30, 1], [1, 30, -13], [-13, 22, 9]] (m)c.f.e: [-1, 14, -1, 2, -2, 30, -2, 2] 8 cycle: [[-9, 14, 21], [21, 28, -2], [-2, 28, 21], [21, 14, -9], [-9, 22, 13], [13, 30, -1], [-1, 30, 13], [13, 22, -9]] (m)c.f.e: [1, -14, 1, -2, 2, -30, 2, -2] 8 cycle: [[6, 20, -23], [-23, 26, 3], [3, 28, -14], [-14, 28, 3], [3, 26, -23], [-23, 20, 6], [6, 28, -7], [-7, 28, 6]] (m)c.f.e: [-1, 9, -2, 9, -1, 4, -4, 4] 8 cycle: [[-6, 20, 23], [23, 26, -3], [-3, 28, 14], [14, 28, -3], [-3, 26, 23], [23, 20, -6], [-6, 28, 7], [7, 28, -6]] (m)c.f.e: [1, -9, 2, -9, 1, -4, 4, -4] number of reduced forms: 32 partition: [8, 8, 8, 8] ============================== d: 239 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30] Pell solution, x^2- 239 y^2= 1 : [6195120, 400729] ---------- 12 cycle: [[10, 14, -19], [-19, 24, 5], [5, 26, -14], [-14, 30, 1], [1, 30, -14], [-14, 26, 5], [5, 24, -19], [-19, 14, 10], [10, 26, -7], [-7, 30, 2], [2, 30, -7], [-7, 26, 10]] (m)c.f.e: [-1, 5, -2, 30, -2, 5, -1, 2, -4, 15, -4, 2] 12 cycle: [[-10, 14, 19], [19, 24, -5], [-5, 26, 14], [14, 30, -1], [-1, 30, 14], [14, 26, -5], [-5, 24, 19], [19, 14, -10], [-10, 26, 7], [7, 30, -2], [-2, 30, 7], [7, 26, -10]] (m)c.f.e: [1, -5, 2, -30, 2, -5, 1, -2, 4, -15, 4, -2] number of reduced forms: 24 partition: [12, 12] ============================== d: 241 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 9, 1, 5, 3, 3, 1, 1, 3, 3, 5, 1, 9, 1, 1, 30] Pell solution, x^2- 241 y^2= -1 : [71011068, 4574225] ---------- 38 cycle: [[6, 5, -9], [-9, 13, 2], [2, 15, -2], [-2, 13, 9], [9, 5, -6], [-6, 7, 8], [8, 9, -5], [-5, 11, 6], [6, 13, -3], [-3, 11, 10], [10, 9, -4], [-4, 15, 1], [1, 15, -4], [-4, 9, 10], [10, 11, -3], [-3, 13, 6], [6, 11, -5], [-5, 9, 8], [8, 7, -6], [-6, 5, 9], [9, 13, -2], [-2, 15, 2], [2, 13, -9], [-9, 5, 6], [6, 7, -8], [-8, 9, 5], [5, 11, -6], [-6, 13, 3], [3, 11, -10], [-10, 9, 4], [4, 15, -1], [-1, 15, 4], [4, 9, -10], [-10, 11, 3], [3, 13, -6], [-6, 11, 5], [5, 9, -8], [-8, 7, 6]] (m)c.f.e: [-1, 7, -7, 1, -1, 1, -2, 2, -4, 1, -3, 15, -3, 1, -4, 2, -2, 1, -1, 1, -7, 7, -1, 1, -1, 2, -2, 4, -1, 3, -15, 3, -1, 4, -2, 2, -1, 1] number of reduced forms: 38 partition: [38] ============================== d: 246 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 5, 1, 14, 1, 5, 2, 1, 30] Pell solution, x^2- 246 y^2= 1 : [88805, 5662] ---------- 14 cycle: [[13, 10, -17], [-17, 24, 6], [6, 24, -17], [-17, 10, 13], [13, 16, -14], [-14, 12, 15], [15, 18, -11], [-11, 26, 7], [7, 30, -3], [-3, 30, 7], [7, 26, -11], [-11, 18, 15], [15, 12, -14], [-14, 16, 13]] (m)c.f.e: [-1, 4, -1, 1, -1, 1, -2, 4, -10, 4, -2, 1, -1, 1] 14 cycle: [[-13, 10, 17], [17, 24, -6], [-6, 24, 17], [17, 10, -13], [-13, 16, 14], [14, 12, -15], [-15, 18, 11], [11, 26, -7], [-7, 30, 3], [3, 30, -7], [-7, 26, 11], [11, 18, -15], [-15, 12, 14], [14, 16, -13]] (m)c.f.e: [1, -4, 1, -1, 1, -1, 2, -4, 10, -4, 2, -1, 1, -1] 10 cycle: [[10, 12, -21], [-21, 30, 1], [1, 30, -21], [-21, 12, 10], [10, 28, -5], [-5, 22, 25], [25, 28, -2], [-2, 28, 25], [25, 22, -5], [-5, 28, 10]] (m)c.f.e: [-1, 30, -1, 2, -5, 1, -14, 1, -5, 2] 10 cycle: [[-10, 12, 21], [21, 30, -1], [-1, 30, 21], [21, 12, -10], [-10, 28, 5], [5, 22, -25], [-25, 28, 2], [2, 28, -25], [-25, 22, 5], [5, 28, -10]] (m)c.f.e: [1, -30, 1, -2, 5, -1, 14, -1, 5, -2] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 247 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 9, 1, 9, 1, 1, 2, 1, 30] Pell solution, x^2- 247 y^2= 1 : [85292, 5427] ---------- 12 cycle: [[14, 6, -17], [-17, 28, 3], [3, 26, -26], [-26, 26, 3], [3, 28, -17], [-17, 6, 14], [14, 22, -9], [-9, 14, 22], [22, 30, -1], [-1, 30, 22], [22, 14, -9], [-9, 22, 14]] (m)c.f.e: [-1, 9, -1, 9, -1, 1, -2, 1, -30, 1, -2, 1] 12 cycle: [[-14, 6, 17], [17, 28, -3], [-3, 26, 26], [26, 26, -3], [-3, 28, 17], [17, 6, -14], [-14, 22, 9], [9, 14, -22], [-22, 30, 1], [1, 30, -22], [-22, 14, 9], [9, 22, -14]] (m)c.f.e: [1, -9, 1, -9, 1, -1, 2, -1, 30, -1, 2, -1] 12 cycle: [[11, 14, -18], [-18, 22, 7], [7, 20, -21], [-21, 22, 6], [6, 26, -13], [-13, 26, 6], [6, 22, -21], [-21, 20, 7], [7, 22, -18], [-18, 14, 11], [11, 30, -2], [-2, 30, 11]] (m)c.f.e: [-1, 3, -1, 4, -2, 4, -1, 3, -1, 2, -15, 2] 12 cycle: [[-11, 14, 18], [18, 22, -7], [-7, 20, 21], [21, 22, -6], [-6, 26, 13], [13, 26, -6], [-6, 22, 21], [21, 20, -7], [-7, 22, 18], [18, 14, -11], [-11, 30, 2], [2, 30, -11]] (m)c.f.e: [1, -3, 1, -4, 2, -4, 1, -3, 1, -2, 15, -2] number of reduced forms: 48 partition: [12, 12, 12, 12] ============================== d: 249 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 1, 5, 1, 3, 10, 3, 1, 5, 1, 1, 3, 1, 30] Pell solution, x^2- 249 y^2= 1 : [8553815, 542076] ---------- 16 cycle: [[7, 5, -8], [-8, 11, 4], [4, 13, -5], [-5, 7, 10], [10, 13, -2], [-2, 15, 3], [3, 15, -2], [-2, 13, 10], [10, 7, -5], [-5, 13, 4], [4, 11, -8], [-8, 5, 7], [7, 9, -6], [-6, 15, 1], [1, 15, -6], [-6, 9, 7]] (m)c.f.e: [-1, 3, -2, 1, -7, 5, -7, 1, -2, 3, -1, 1, -2, 15, -2, 1] 16 cycle: [[-7, 5, 8], [8, 11, -4], [-4, 13, 5], [5, 7, -10], [-10, 13, 2], [2, 15, -3], [-3, 15, 2], [2, 13, -10], [-10, 7, 5], [5, 13, -4], [-4, 11, 8], [8, 5, -7], [-7, 9, 6], [6, 15, -1], [-1, 15, 6], [6, 9, -7]] (m)c.f.e: [1, -3, 2, -1, 7, -5, 7, -1, 2, -3, 1, -1, 2, -15, 2, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 251 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 2, 1, 2, 2, 15, 2, 2, 1, 2, 5, 1, 30] Pell solution, x^2- 251 y^2= 1 : [3674890, 231957] ---------- 14 cycle: [[11, 16, -17], [-17, 18, 10], [10, 22, -13], [-13, 30, 2], [2, 30, -13], [-13, 22, 10], [10, 18, -17], [-17, 16, 11], [11, 28, -5], [-5, 22, 26], [26, 30, -1], [-1, 30, 26], [26, 22, -5], [-5, 28, 11]] (m)c.f.e: [-1, 2, -2, 15, -2, 2, -1, 2, -5, 1, -30, 1, -5, 2] 14 cycle: [[-11, 16, 17], [17, 18, -10], [-10, 22, 13], [13, 30, -2], [-2, 30, 13], [13, 22, -10], [-10, 18, 17], [17, 16, -11], [-11, 28, 5], [5, 22, -26], [-26, 30, 1], [1, 30, -26], [-26, 22, 5], [5, 28, -11]] (m)c.f.e: [1, -2, 2, -15, 2, -2, 1, -2, 5, -1, 30, -1, 5, -2] number of reduced forms: 28 partition: [14, 14] ============================== d: 253 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 9, 1, 1, 1, 2, 1, 7, 4, 2, 2, 2, 4, 7, 1, 2, 1, 1, 1, 9, 1, 30] Pell solution, x^2- 253 y^2= 1 : [3222617399, 202604220] ---------- 6 cycle: [[3, 11, -11], [-11, 11, 3], [3, 13, -7], [-7, 15, 1], [1, 15, -7], [-7, 13, 3]] (m)c.f.e: [-1, 4, -2, 15, -2, 4] 6 cycle: [[-3, 11, 11], [11, 11, -3], [-3, 13, 7], [7, 15, -1], [-1, 15, 7], [7, 13, -3]] (m)c.f.e: [1, -4, 2, -15, 2, -4] number of reduced forms: 12 partition: [6, 6] ============================== d: 254 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 14, 1, 30] Pell solution, x^2- 254 y^2= 1 : [255, 16] ---------- 8 cycle: [[14, 8, -17], [-17, 26, 5], [5, 24, -22], [-22, 20, 7], [7, 22, -19], [-19, 16, 10], [10, 24, -11], [-11, 20, 14]] (m)c.f.e: [-1, 5, -1, 3, -1, 2, -2, 1] 8 cycle: [[-14, 8, 17], [17, 26, -5], [-5, 24, 22], [22, 20, -7], [-7, 22, 19], [19, 16, -10], [-10, 24, 11], [11, 20, -14]] (m)c.f.e: [1, -5, 1, -3, 1, -2, 2, -1] 8 cycle: [[17, 8, -14], [-14, 20, 11], [11, 24, -10], [-10, 16, 19], [19, 22, -7], [-7, 20, 22], [22, 24, -5], [-5, 26, 17]] (m)c.f.e: [-1, 2, -2, 1, -3, 1, -5, 1] 8 cycle: [[-17, 8, 14], [14, 20, -11], [-11, 24, 10], [10, 16, -19], [-19, 22, 7], [7, 20, -22], [-22, 24, 5], [5, 26, -17]] (m)c.f.e: [1, -2, 2, -1, 3, -1, 5, -1] 4 cycle: [[2, 28, -29], [-29, 30, 1], [1, 30, -29], [-29, 28, 2]] (m)c.f.e: [-1, 30, -1, 14] 4 cycle: [[-2, 28, 29], [29, 30, -1], [-1, 30, 29], [29, 28, -2]] (m)c.f.e: [1, -30, 1, -14] number of reduced forms: 40 partition: [4, 4, 8, 8, 8, 8] ============================== d: 255 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 30] Pell solution, x^2- 255 y^2= 1 : [16, 1] ---------- 2 cycle: [[1, 30, -30], [-30, 30, 1]] (m)c.f.e: [-1, 30] 2 cycle: [[-1, 30, 30], [30, 30, -1]] (m)c.f.e: [1, -30] 2 cycle: [[2, 30, -15], [-15, 30, 2]] (m)c.f.e: [-2, 15] 2 cycle: [[-2, 30, 15], [15, 30, -2]] (m)c.f.e: [2, -15] 2 cycle: [[3, 30, -10], [-10, 30, 3]] (m)c.f.e: [-3, 10] 2 cycle: [[-3, 30, 10], [10, 30, -3]] (m)c.f.e: [3, -10] 2 cycle: [[5, 30, -6], [-6, 30, 5]] (m)c.f.e: [-5, 6] 2 cycle: [[-5, 30, 6], [6, 30, -5]] (m)c.f.e: [5, -6] number of reduced forms: 16 partition: [2, 2, 2, 2, 2, 2, 2, 2] ============================== d: 257 number of cycles (narrow class number): 3 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [32] Pell solution, x^2- 257 y^2= -1 : [16, 1] ---------- 6 cycle: [[8, 1, -8], [-8, 15, 1], [1, 15, -8], [-8, 1, 8], [8, 15, -1], [-1, 15, 8]] (m)c.f.e: [-1, 15, -1, 1, -15, 1] 6 cycle: [[4, 9, -11], [-11, 13, 2], [2, 15, -4], [-4, 9, 11], [11, 13, -2], [-2, 15, 4]] (m)c.f.e: [-1, 7, -3, 1, -7, 3] 6 cycle: [[11, 9, -4], [-4, 15, 2], [2, 13, -11], [-11, 9, 4], [4, 15, -2], [-2, 13, 11]] (m)c.f.e: [-3, 7, -1, 3, -7, 1] number of reduced forms: 18 partition: [6, 6, 6] ============================== d: 258 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [16, 32] Pell solution, x^2- 258 y^2= 1 : [257, 16] ---------- 6 cycle: [[11, 14, -19], [-19, 24, 6], [6, 24, -19], [-19, 14, 11], [11, 30, -3], [-3, 30, 11]] (m)c.f.e: [-1, 4, -1, 2, -10, 2] 6 cycle: [[-11, 14, 19], [19, 24, -6], [-6, 24, 19], [19, 14, -11], [-11, 30, 3], [3, 30, -11]] (m)c.f.e: [1, -4, 1, -2, 10, -2] 2 cycle: [[1, 32, -2], [-2, 32, 1]] (m)c.f.e: [-16, 32] 2 cycle: [[-1, 32, 2], [2, 32, -1]] (m)c.f.e: [16, -32] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 259 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 1, 2, 3, 4, 3, 2, 1, 10, 32] Pell solution, x^2- 259 y^2= 1 : [847225, 52644] ---------- 18 cycle: [[15, 4, -17], [-17, 30, 2], [2, 30, -17], [-17, 4, 15], [15, 26, -6], [-6, 22, 23], [23, 24, -5], [-5, 26, 18], [18, 10, -13], [-13, 16, 15], [15, 14, -14], [-14, 14, 15], [15, 16, -13], [-13, 10, 18], [18, 26, -5], [-5, 24, 23], [23, 22, -6], [-6, 26, 15]] (m)c.f.e: [-1, 15, -1, 1, -4, 1, -5, 1, -1, 1, -1, 1, -1, 1, -5, 1, -4, 1] 18 cycle: [[-15, 4, 17], [17, 30, -2], [-2, 30, 17], [17, 4, -15], [-15, 26, 6], [6, 22, -23], [-23, 24, 5], [5, 26, -18], [-18, 10, 13], [13, 16, -15], [-15, 14, 14], [14, 14, -15], [-15, 16, 13], [13, 10, -18], [-18, 26, 5], [5, 24, -23], [-23, 22, 6], [6, 26, -15]] (m)c.f.e: [1, -15, 1, -1, 4, -1, 5, -1, 1, -1, 1, -1, 1, -1, 5, -1, 4, -1] 10 cycle: [[10, 14, -21], [-21, 28, 3], [3, 32, -1], [-1, 32, 3], [3, 28, -21], [-21, 14, 10], [10, 26, -9], [-9, 28, 7], [7, 28, -9], [-9, 26, 10]] (m)c.f.e: [-1, 10, -32, 10, -1, 2, -3, 4, -3, 2] 10 cycle: [[-10, 14, 21], [21, 28, -3], [-3, 32, 1], [1, 32, -3], [-3, 28, 21], [21, 14, -10], [-10, 26, 9], [9, 28, -7], [-7, 28, 9], [9, 26, -10]] (m)c.f.e: [1, -10, 32, -10, 1, -2, 3, -4, 3, -2] number of reduced forms: 56 partition: [10, 10, 18, 18] ============================== d: 262 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32] Pell solution, x^2- 262 y^2= 1 : [104980517, 6485718] ---------- 14 cycle: [[9, 16, -22], [-22, 28, 3], [3, 32, -2], [-2, 32, 3], [3, 28, -22], [-22, 16, 9], [9, 20, -18], [-18, 16, 11], [11, 28, -6], [-6, 32, 1], [1, 32, -6], [-6, 28, 11], [11, 16, -18], [-18, 20, 9]] (m)c.f.e: [-1, 10, -16, 10, -1, 2, -1, 2, -5, 32, -5, 2, -1, 2] 14 cycle: [[-9, 16, 22], [22, 28, -3], [-3, 32, 2], [2, 32, -3], [-3, 28, 22], [22, 16, -9], [-9, 20, 18], [18, 16, -11], [-11, 28, 6], [6, 32, -1], [-1, 32, 6], [6, 28, -11], [-11, 16, 18], [18, 20, -9]] (m)c.f.e: [1, -10, 16, -10, 1, -2, 1, -2, 5, -32, 5, -2, 1, -2] number of reduced forms: 28 partition: [14, 14] ============================== d: 263 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 1, 1, 1, 15, 1, 1, 1, 1, 4, 32] Pell solution, x^2- 263 y^2= 1 : [139128, 8579] ---------- 12 cycle: [[13, 8, -19], [-19, 30, 2], [2, 30, -19], [-19, 8, 13], [13, 18, -14], [-14, 10, 17], [17, 24, -7], [-7, 32, 1], [1, 32, -7], [-7, 24, 17], [17, 10, -14], [-14, 18, 13]] (m)c.f.e: [-1, 15, -1, 1, -1, 1, -4, 32, -4, 1, -1, 1] 12 cycle: [[-13, 8, 19], [19, 30, -2], [-2, 30, 19], [19, 8, -13], [-13, 18, 14], [14, 10, -17], [-17, 24, 7], [7, 32, -1], [-1, 32, 7], [7, 24, -17], [-17, 10, 14], [14, 18, -13]] (m)c.f.e: [1, -15, 1, -1, 1, -1, 4, -32, 4, -1, 1, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 265 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 2, 2, 1, 1, 3, 32] Pell solution, x^2- 265 y^2= -1 : [6072, 373] ---------- 18 cycle: [[8, 3, -8], [-8, 13, 3], [3, 11, -12], [-12, 13, 2], [2, 15, -5], [-5, 15, 2], [2, 13, -12], [-12, 11, 3], [3, 13, -8], [-8, 3, 8], [8, 13, -3], [-3, 11, 12], [12, 13, -2], [-2, 15, 5], [5, 15, -2], [-2, 13, 12], [12, 11, -3], [-3, 13, 8]] (m)c.f.e: [-1, 4, -1, 7, -3, 7, -1, 4, -1, 1, -4, 1, -7, 3, -7, 1, -4, 1] 22 cycle: [[6, 5, -10], [-10, 15, 1], [1, 15, -10], [-10, 5, 6], [6, 7, -9], [-9, 11, 4], [4, 13, -6], [-6, 11, 6], [6, 13, -4], [-4, 11, 9], [9, 7, -6], [-6, 5, 10], [10, 15, -1], [-1, 15, 10], [10, 5, -6], [-6, 7, 9], [9, 11, -4], [-4, 13, 6], [6, 11, -6], [-6, 13, 4], [4, 11, -9], [-9, 7, 6]] (m)c.f.e: [-1, 15, -1, 1, -1, 3, -2, 2, -3, 1, -1, 1, -15, 1, -1, 1, -3, 2, -2, 3, -1, 1] number of reduced forms: 40 partition: [18, 22] ============================== d: 266 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 4, 3, 32] Pell solution, x^2- 266 y^2= 1 : [685, 42] ---------- 4 cycle: [[5, 28, -14], [-14, 28, 5], [5, 32, -2], [-2, 32, 5]] (m)c.f.e: [-2, 6, -16, 6] 4 cycle: [[-5, 28, 14], [14, 28, -5], [-5, 32, 2], [2, 32, -5]] (m)c.f.e: [2, -6, 16, -6] 4 cycle: [[7, 28, -10], [-10, 32, 1], [1, 32, -10], [-10, 28, 7]] (m)c.f.e: [-3, 32, -3, 4] 4 cycle: [[-7, 28, 10], [10, 32, -1], [-1, 32, 10], [10, 28, -7]] (m)c.f.e: [3, -32, 3, -4] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 267 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 15, 1, 2, 32] Pell solution, x^2- 267 y^2= 1 : [2402, 147] ---------- 6 cycle: [[11, 12, -21], [-21, 30, 2], [2, 30, -21], [-21, 12, 11], [11, 32, -1], [-1, 32, 11]] (m)c.f.e: [-1, 15, -1, 2, -32, 2] 6 cycle: [[-11, 12, 21], [21, 30, -2], [-2, 30, 21], [21, 12, -11], [-11, 32, 1], [1, 32, -11]] (m)c.f.e: [1, -15, 1, -2, 32, -2] 6 cycle: [[7, 26, -14], [-14, 30, 3], [3, 30, -14], [-14, 26, 7], [7, 30, -6], [-6, 30, 7]] (m)c.f.e: [-2, 10, -2, 4, -5, 4] 6 cycle: [[-7, 26, 14], [14, 30, -3], [-3, 30, 14], [14, 26, -7], [-7, 30, 6], [6, 30, -7]] (m)c.f.e: [2, -10, 2, -4, 5, -4] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 269 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 32] Pell solution, x^2- 269 y^2= -1 : [82, 5] ---------- 10 cycle: [[5, 7, -11], [-11, 15, 1], [1, 15, -11], [-11, 7, 5], [5, 13, -5], [-5, 7, 11], [11, 15, -1], [-1, 15, 11], [11, 7, -5], [-5, 13, 5]] (m)c.f.e: [-1, 15, -1, 2, -2, 1, -15, 1, -2, 2] number of reduced forms: 10 partition: [10] ============================== d: 271 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 6, 10, 1, 4, 1, 1, 2, 1, 2, 1, 15, 1, 2, 1, 2, 1, 1, 4, 1, 10, 6, 2, 32] Pell solution, x^2- 271 y^2= 1 : [115974983600, 7044978537] ---------- 24 cycle: [[15, 8, -17], [-17, 26, 6], [6, 22, -25], [-25, 28, 3], [3, 32, -5], [-5, 28, 15], [15, 32, -1], [-1, 32, 15], [15, 28, -5], [-5, 32, 3], [3, 28, -25], [-25, 22, 6], [6, 26, -17], [-17, 8, 15], [15, 22, -10], [-10, 18, 19], [19, 20, -9], [-9, 16, 23], [23, 30, -2], [-2, 30, 23], [23, 16, -9], [-9, 20, 19], [19, 18, -10], [-10, 22, 15]] (m)c.f.e: [-1, 4, -1, 10, -6, 2, -32, 2, -6, 10, -1, 4, -1, 1, -2, 1, -2, 1, -15, 1, -2, 1, -2, 1] 24 cycle: [[-15, 8, 17], [17, 26, -6], [-6, 22, 25], [25, 28, -3], [-3, 32, 5], [5, 28, -15], [-15, 32, 1], [1, 32, -15], [-15, 28, 5], [5, 32, -3], [-3, 28, 25], [25, 22, -6], [-6, 26, 17], [17, 8, -15], [-15, 22, 10], [10, 18, -19], [-19, 20, 9], [9, 16, -23], [-23, 30, 2], [2, 30, -23], [-23, 16, 9], [9, 20, -19], [-19, 18, 10], [10, 22, -15]] (m)c.f.e: [1, -4, 1, -10, 6, -2, 32, -2, 6, -10, 1, -4, 1, -1, 2, -1, 2, -1, 15, -1, 2, -1, 2, -1] number of reduced forms: 48 partition: [24, 24] ============================== d: 273 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 10, 1, 1, 32] Pell solution, x^2- 273 y^2= 1 : [727, 44] ---------- 8 cycle: [[7, 7, -8], [-8, 9, 6], [6, 15, -2], [-2, 13, 13], [13, 13, -2], [-2, 15, 6], [6, 9, -8], [-8, 7, 7]] (m)c.f.e: [-1, 2, -7, 1, -7, 2, -1, 1] 8 cycle: [[-7, 7, 8], [8, 9, -6], [-6, 15, 2], [2, 13, -13], [-13, 13, 2], [2, 15, -6], [-6, 9, 8], [8, 7, -7]] (m)c.f.e: [1, -2, 7, -1, 7, -2, 1, -1] 6 cycle: [[4, 9, -12], [-12, 15, 1], [1, 15, -12], [-12, 9, 4], [4, 15, -3], [-3, 15, 4]] (m)c.f.e: [-1, 15, -1, 3, -5, 3] 6 cycle: [[-4, 9, 12], [12, 15, -1], [-1, 15, 12], [12, 9, -4], [-4, 15, 3], [3, 15, -4]] (m)c.f.e: [1, -15, 1, -3, 5, -3] number of reduced forms: 28 partition: [6, 6, 8, 8] ============================== d: 274 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 4, 4, 1, 1, 32] Pell solution, x^2- 274 y^2= -1 : [1407, 85] ---------- 14 cycle: [[15, 4, -18], [-18, 32, 1], [1, 32, -18], [-18, 4, 15], [15, 26, -7], [-7, 30, 7], [7, 26, -15], [-15, 4, 18], [18, 32, -1], [-1, 32, 18], [18, 4, -15], [-15, 26, 7], [7, 30, -7], [-7, 26, 15]] (m)c.f.e: [-1, 32, -1, 1, -4, 4, -1, 1, -32, 1, -1, 4, -4, 1] 18 cycle: [[14, 12, -17], [-17, 22, 9], [9, 32, -2], [-2, 32, 9], [9, 22, -17], [-17, 12, 14], [14, 16, -15], [-15, 14, 15], [15, 16, -14], [-14, 12, 17], [17, 22, -9], [-9, 32, 2], [2, 32, -9], [-9, 22, 17], [17, 12, -14], [-14, 16, 15], [15, 14, -15], [-15, 16, 14]] (m)c.f.e: [-1, 3, -16, 3, -1, 1, -1, 1, -1, 1, -3, 16, -3, 1, -1, 1, -1, 1] 14 cycle: [[10, 16, -21], [-21, 26, 5], [5, 24, -26], [-26, 28, 3], [3, 32, -6], [-6, 28, 13], [13, 24, -10], [-10, 16, 21], [21, 26, -5], [-5, 24, 26], [26, 28, -3], [-3, 32, 6], [6, 28, -13], [-13, 24, 10]] (m)c.f.e: [-1, 5, -1, 10, -5, 2, -2, 1, -5, 1, -10, 5, -2, 2] 14 cycle: [[21, 16, -10], [-10, 24, 13], [13, 28, -6], [-6, 32, 3], [3, 28, -26], [-26, 24, 5], [5, 26, -21], [-21, 16, 10], [10, 24, -13], [-13, 28, 6], [6, 32, -3], [-3, 28, 26], [26, 24, -5], [-5, 26, 21]] (m)c.f.e: [-2, 2, -5, 10, -1, 5, -1, 2, -2, 5, -10, 1, -5, 1] number of reduced forms: 60 partition: [14, 14, 14, 18] ============================== d: 277 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4, 10, 1, 7, 2, 2, 3, 3, 2, 2, 7, 1, 10, 4, 1, 1, 1, 32] Pell solution, x^2- 277 y^2= -1 : [8920484118, 535979945] ---------- 18 cycle: [[7, 5, -9], [-9, 13, 3], [3, 11, -13], [-13, 15, 1], [1, 15, -13], [-13, 11, 3], [3, 13, -9], [-9, 5, 7], [7, 9, -7], [-7, 5, 9], [9, 13, -3], [-3, 11, 13], [13, 15, -1], [-1, 15, 13], [13, 11, -3], [-3, 13, 9], [9, 5, -7], [-7, 9, 7]] (m)c.f.e: [-1, 4, -1, 15, -1, 4, -1, 1, -1, 1, -4, 1, -15, 1, -4, 1, -1, 1] number of reduced forms: 18 partition: [18] ============================== d: 278 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 16, 2, 1, 32] Pell solution, x^2- 278 y^2= 1 : [2501, 150] ---------- 6 cycle: [[11, 12, -22], [-22, 32, 1], [1, 32, -22], [-22, 12, 11], [11, 32, -2], [-2, 32, 11]] (m)c.f.e: [-1, 32, -1, 2, -16, 2] 6 cycle: [[-11, 12, 22], [22, 32, -1], [-1, 32, 22], [22, 12, -11], [-11, 32, 2], [2, 32, -11]] (m)c.f.e: [1, -32, 1, -2, 16, -2] number of reduced forms: 12 partition: [6, 6] ============================== d: 281 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 4, 1, 1, 6, 6, 1, 1, 4, 3, 1, 32] Pell solution, x^2- 281 y^2= -1 : [1063532, 63445] ---------- 30 cycle: [[8, 5, -8], [-8, 11, 5], [5, 9, -10], [-10, 11, 4], [4, 13, -7], [-7, 15, 2], [2, 13, -14], [-14, 15, 1], [1, 15, -14], [-14, 13, 2], [2, 15, -7], [-7, 13, 4], [4, 11, -10], [-10, 9, 5], [5, 11, -8], [-8, 5, 8], [8, 11, -5], [-5, 9, 10], [10, 11, -4], [-4, 13, 7], [7, 15, -2], [-2, 13, 14], [14, 15, -1], [-1, 15, 14], [14, 13, -2], [-2, 15, 7], [7, 13, -4], [-4, 11, 10], [10, 9, -5], [-5, 11, 8]] (m)c.f.e: [-1, 2, -1, 3, -2, 7, -1, 15, -1, 7, -2, 3, -1, 2, -1, 1, -2, 1, -3, 2, -7, 1, -15, 1, -7, 2, -3, 1, -2, 1] number of reduced forms: 30 partition: [30] ============================== d: 282 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 4, 1, 3, 1, 32] Pell solution, x^2- 282 y^2= 1 : [2351, 140] ---------- 8 cycle: [[14, 8, -19], [-19, 30, 3], [3, 30, -19], [-19, 8, 14], [14, 20, -13], [-13, 32, 2], [2, 32, -13], [-13, 20, 14]] (m)c.f.e: [-1, 10, -1, 1, -2, 16, -2, 1] 8 cycle: [[-14, 8, 19], [19, 30, -3], [-3, 30, 19], [19, 8, -14], [-14, 20, 13], [13, 32, -2], [-2, 32, 13], [13, 20, -14]] (m)c.f.e: [1, -10, 1, -1, 2, -16, 2, -1] 8 cycle: [[7, 20, -26], [-26, 32, 1], [1, 32, -26], [-26, 20, 7], [7, 22, -23], [-23, 24, 6], [6, 24, -23], [-23, 22, 7]] (m)c.f.e: [-1, 32, -1, 3, -1, 4, -1, 3] 8 cycle: [[-7, 20, 26], [26, 32, -1], [-1, 32, 26], [26, 20, -7], [-7, 22, 23], [23, 24, -6], [-6, 24, 23], [23, 22, -7]] (m)c.f.e: [1, -32, 1, -3, 1, -4, 1, -3] number of reduced forms: 32 partition: [8, 8, 8, 8] ============================== d: 283 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 1, 1, 3, 10, 1, 15, 1, 10, 3, 1, 1, 1, 4, 1, 32] Pell solution, x^2- 283 y^2= 1 : [138274082, 8219541] ---------- 18 cycle: [[13, 12, -19], [-19, 26, 6], [6, 22, -27], [-27, 32, 1], [1, 32, -27], [-27, 22, 6], [6, 26, -19], [-19, 12, 13], [13, 14, -18], [-18, 22, 9], [9, 32, -3], [-3, 28, 29], [29, 30, -2], [-2, 30, 29], [29, 28, -3], [-3, 32, 9], [9, 22, -18], [-18, 14, 13]] (m)c.f.e: [-1, 4, -1, 32, -1, 4, -1, 1, -1, 3, -10, 1, -15, 1, -10, 3, -1, 1] 18 cycle: [[-13, 12, 19], [19, 26, -6], [-6, 22, 27], [27, 32, -1], [-1, 32, 27], [27, 22, -6], [-6, 26, 19], [19, 12, -13], [-13, 14, 18], [18, 22, -9], [-9, 32, 3], [3, 28, -29], [-29, 30, 2], [2, 30, -29], [-29, 28, 3], [3, 32, -9], [-9, 22, 18], [18, 14, -13]] (m)c.f.e: [1, -4, 1, -32, 1, -4, 1, -1, 1, -3, 10, -1, 15, -1, 10, -3, 1, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 285 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 2, 7, 1, 32] Pell solution, x^2- 285 y^2= 1 : [2431, 144] ---------- 2 cycle: [[1, 15, -15], [-15, 15, 1]] (m)c.f.e: [-1, 15] 2 cycle: [[-1, 15, 15], [15, 15, -1]] (m)c.f.e: [1, -15] 2 cycle: [[3, 15, -5], [-5, 15, 3]] (m)c.f.e: [-3, 5] 2 cycle: [[-3, 15, 5], [5, 15, -3]] (m)c.f.e: [3, -5] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 286 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 10, 3, 3, 2, 3, 3, 10, 1, 32] Pell solution, x^2- 286 y^2= 1 : [561835, 33222] ---------- 12 cycle: [[15, 8, -18], [-18, 28, 5], [5, 32, -6], [-6, 28, 15], [15, 32, -2], [-2, 32, 15], [15, 28, -6], [-6, 32, 5], [5, 28, -18], [-18, 8, 15], [15, 22, -11], [-11, 22, 15]] (m)c.f.e: [-1, 6, -5, 2, -16, 2, -5, 6, -1, 1, -2, 1] 12 cycle: [[-15, 8, 18], [18, 28, -5], [-5, 32, 6], [6, 28, -15], [-15, 32, 2], [2, 32, -15], [-15, 28, 6], [6, 32, -5], [-5, 28, 18], [18, 8, -15], [-15, 22, 11], [11, 22, -15]] (m)c.f.e: [1, -6, 5, -2, 16, -2, 5, -6, 1, -1, 2, -1] 10 cycle: [[9, 26, -13], [-13, 26, 9], [9, 28, -10], [-10, 32, 3], [3, 28, -30], [-30, 32, 1], [1, 32, -30], [-30, 28, 3], [3, 32, -10], [-10, 28, 9]] (m)c.f.e: [-2, 3, -3, 10, -1, 32, -1, 10, -3, 3] 10 cycle: [[-9, 26, 13], [13, 26, -9], [-9, 28, 10], [10, 32, -3], [-3, 28, 30], [30, 32, -1], [-1, 32, 30], [30, 28, -3], [-3, 32, 10], [10, 28, -9]] (m)c.f.e: [2, -3, 3, -10, 1, -32, 1, -10, 3, -3] number of reduced forms: 44 partition: [10, 10, 12, 12] ============================== d: 287 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 15, 1, 32] Pell solution, x^2- 287 y^2= 1 : [288, 17] ---------- 8 cycle: [[14, 14, -17], [-17, 20, 11], [11, 24, -13], [-13, 28, 7], [7, 28, -13], [-13, 24, 11], [11, 20, -17], [-17, 14, 14]] (m)c.f.e: [-1, 2, -2, 4, -2, 2, -1, 1] 8 cycle: [[-14, 14, 17], [17, 20, -11], [-11, 24, 13], [13, 28, -7], [-7, 28, 13], [13, 24, -11], [-11, 20, 17], [17, 14, -14]] (m)c.f.e: [1, -2, 2, -4, 2, -2, 1, -1] 4 cycle: [[2, 30, -31], [-31, 32, 1], [1, 32, -31], [-31, 30, 2]] (m)c.f.e: [-1, 32, -1, 15] 4 cycle: [[-2, 30, 31], [31, 32, -1], [-1, 32, 31], [31, 30, -2]] (m)c.f.e: [1, -32, 1, -15] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 290 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [34] Pell solution, x^2- 290 y^2= -1 : [17, 1] ---------- 6 cycle: [[17, 2, -17], [-17, 32, 2], [2, 32, -17], [-17, 2, 17], [17, 32, -2], [-2, 32, 17]] (m)c.f.e: [-1, 16, -1, 1, -16, 1] 10 cycle: [[11, 18, -19], [-19, 20, 10], [10, 20, -19], [-19, 18, 11], [11, 26, -11], [-11, 18, 19], [19, 20, -10], [-10, 20, 19], [19, 18, -11], [-11, 26, 11]] (m)c.f.e: [-1, 2, -1, 2, -2, 1, -2, 1, -2, 2] 6 cycle: [[13, 22, -13], [-13, 30, 5], [5, 30, -13], [-13, 22, 13], [13, 30, -5], [-5, 30, 13]] (m)c.f.e: [-2, 6, -2, 2, -6, 2] 2 cycle: [[1, 34, -1], [-1, 34, 1]] (m)c.f.e: [-34, 34] number of reduced forms: 24 partition: [2, 6, 6, 10] ============================== d: 291 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [17, 34] Pell solution, x^2- 291 y^2= 1 : [290, 17] ---------- 8 cycle: [[14, 10, -19], [-19, 28, 5], [5, 32, -7], [-7, 24, 21], [21, 18, -10], [-10, 22, 17], [17, 12, -15], [-15, 18, 14]] (m)c.f.e: [-1, 6, -4, 1, -2, 1, -1, 1] 8 cycle: [[-14, 10, 19], [19, 28, -5], [-5, 32, 7], [7, 24, -21], [-21, 18, 10], [10, 22, -17], [-17, 12, 15], [15, 18, -14]] (m)c.f.e: [1, -6, 4, -1, 2, -1, 1, -1] 8 cycle: [[19, 10, -14], [-14, 18, 15], [15, 12, -17], [-17, 22, 10], [10, 18, -21], [-21, 24, 7], [7, 32, -5], [-5, 28, 19]] (m)c.f.e: [-1, 1, -1, 2, -1, 4, -6, 1] 8 cycle: [[-19, 10, 14], [14, 18, -15], [-15, 12, 17], [17, 22, -10], [-10, 18, 21], [21, 24, -7], [-7, 32, 5], [5, 28, -19]] (m)c.f.e: [1, -1, 1, -2, 1, -4, 6, -1] 6 cycle: [[11, 14, -22], [-22, 30, 3], [3, 30, -22], [-22, 14, 11], [11, 30, -6], [-6, 30, 11]] (m)c.f.e: [-1, 10, -1, 2, -5, 2] 6 cycle: [[-11, 14, 22], [22, 30, -3], [-3, 30, 22], [22, 14, -11], [-11, 30, 6], [6, 30, -11]] (m)c.f.e: [1, -10, 1, -2, 5, -2] 2 cycle: [[1, 34, -2], [-2, 34, 1]] (m)c.f.e: [-17, 34] 2 cycle: [[-1, 34, 2], [2, 34, -1]] (m)c.f.e: [17, -34] number of reduced forms: 48 partition: [2, 2, 6, 6, 8, 8, 8, 8] ============================== d: 293 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 1, 1, 8, 34] Pell solution, x^2- 293 y^2= -1 : [2482, 145] ---------- 2 cycle: [[1, 17, -1], [-1, 17, 1]] (m)c.f.e: [-17, 17] number of reduced forms: 2 partition: [2] ============================== d: 295 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 2, 3, 2, 6, 2, 3, 2, 1, 5, 34] Pell solution, x^2- 295 y^2= 1 : [2024999, 117900] ---------- 12 cycle: [[15, 10, -18], [-18, 26, 7], [7, 30, -10], [-10, 30, 7], [7, 26, -18], [-18, 10, 15], [15, 20, -13], [-13, 32, 3], [3, 34, -2], [-2, 34, 3], [3, 32, -13], [-13, 20, 15]] (m)c.f.e: [-1, 4, -3, 4, -1, 1, -2, 11, -17, 11, -2, 1] 12 cycle: [[-15, 10, 18], [18, 26, -7], [-7, 30, 10], [10, 30, -7], [-7, 26, 18], [18, 10, -15], [-15, 20, 13], [13, 32, -3], [-3, 34, 2], [2, 34, -3], [-3, 32, 13], [13, 20, -15]] (m)c.f.e: [1, -4, 3, -4, 1, -1, 2, -11, 17, -11, 2, -1] 12 cycle: [[11, 16, -21], [-21, 26, 6], [6, 34, -1], [-1, 34, 6], [6, 26, -21], [-21, 16, 11], [11, 28, -9], [-9, 26, 14], [14, 30, -5], [-5, 30, 14], [14, 26, -9], [-9, 28, 11]] (m)c.f.e: [-1, 5, -34, 5, -1, 2, -3, 2, -6, 2, -3, 2] 12 cycle: [[-11, 16, 21], [21, 26, -6], [-6, 34, 1], [1, 34, -6], [-6, 26, 21], [21, 16, -11], [-11, 28, 9], [9, 26, -14], [-14, 30, 5], [5, 30, -14], [-14, 26, 9], [9, 28, -11]] (m)c.f.e: [1, -5, 34, -5, 1, -2, 3, -2, 6, -2, 3, -2] number of reduced forms: 48 partition: [12, 12, 12, 12] ============================== d: 298 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 4, 5, 1, 1, 5, 4, 1, 3, 34] Pell solution, x^2- 298 y^2= -1 : [409557, 23725] ---------- 22 cycle: [[17, 6, -17], [-17, 28, 6], [6, 32, -7], [-7, 24, 22], [22, 20, -9], [-9, 34, 1], [1, 34, -9], [-9, 20, 22], [22, 24, -7], [-7, 32, 6], [6, 28, -17], [-17, 6, 17], [17, 28, -6], [-6, 32, 7], [7, 24, -22], [-22, 20, 9], [9, 34, -1], [-1, 34, 9], [9, 20, -22], [-22, 24, 7], [7, 32, -6], [-6, 28, 17]] (m)c.f.e: [-1, 5, -4, 1, -3, 34, -3, 1, -4, 5, -1, 1, -5, 4, -1, 3, -34, 3, -1, 4, -5, 1] 26 cycle: [[13, 10, -21], [-21, 32, 2], [2, 32, -21], [-21, 10, 13], [13, 16, -18], [-18, 20, 11], [11, 24, -14], [-14, 32, 3], [3, 34, -3], [-3, 32, 14], [14, 24, -11], [-11, 20, 18], [18, 16, -13], [-13, 10, 21], [21, 32, -2], [-2, 32, 21], [21, 10, -13], [-13, 16, 18], [18, 20, -11], [-11, 24, 14], [14, 32, -3], [-3, 34, 3], [3, 32, -14], [-14, 24, 11], [11, 20, -18], [-18, 16, 13]] (m)c.f.e: [-1, 16, -1, 1, -1, 2, -2, 11, -11, 2, -2, 1, -1, 1, -16, 1, -1, 1, -2, 2, -11, 11, -2, 2, -1, 1] number of reduced forms: 48 partition: [22, 26] ============================== d: 299 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 3, 34] Pell solution, x^2- 299 y^2= 1 : [415, 24] ---------- 4 cycle: [[5, 26, -26], [-26, 26, 5], [5, 34, -2], [-2, 34, 5]] (m)c.f.e: [-1, 6, -17, 6] 4 cycle: [[-5, 26, 26], [26, 26, -5], [-5, 34, 2], [2, 34, -5]] (m)c.f.e: [1, -6, 17, -6] 4 cycle: [[10, 26, -13], [-13, 26, 10], [10, 34, -1], [-1, 34, 10]] (m)c.f.e: [-2, 3, -34, 3] 4 cycle: [[-10, 26, 13], [13, 26, -10], [-10, 34, 1], [1, 34, -10]] (m)c.f.e: [2, -3, 34, -3] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 301 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 6, 3, 1, 2, 2, 1, 1, 8, 11, 2, 4, 2, 11, 8, 1, 1, 2, 2, 1, 3, 6, 1, 2, 34] Pell solution, x^2- 301 y^2= 1 : [5883392537695, 339113108232] ---------- 10 cycle: [[7, 7, -9], [-9, 11, 5], [5, 9, -11], [-11, 13, 3], [3, 17, -1], [-1, 17, 3], [3, 13, -11], [-11, 9, 5], [5, 11, -9], [-9, 7, 7]] (m)c.f.e: [-1, 2, -1, 5, -17, 5, -1, 2, -1, 1] 10 cycle: [[-7, 7, 9], [9, 11, -5], [-5, 9, 11], [11, 13, -3], [-3, 17, 1], [1, 17, -3], [-3, 13, 11], [11, 9, -5], [-5, 11, 9], [9, 7, -7]] (m)c.f.e: [1, -2, 1, -5, 17, -5, 1, -2, 1, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 302 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 1, 4, 2, 1, 16, 1, 2, 4, 1, 1, 1, 2, 34] Pell solution, x^2- 302 y^2= 1 : [4276623, 246092] ---------- 16 cycle: [[14, 12, -19], [-19, 26, 7], [7, 30, -11], [-11, 14, 23], [23, 32, -2], [-2, 32, 23], [23, 14, -11], [-11, 30, 7], [7, 26, -19], [-19, 12, 14], [14, 16, -17], [-17, 18, 13], [13, 34, -1], [-1, 34, 13], [13, 18, -17], [-17, 16, 14]] (m)c.f.e: [-1, 4, -2, 1, -16, 1, -2, 4, -1, 1, -1, 2, -34, 2, -1, 1] 16 cycle: [[-14, 12, 19], [19, 26, -7], [-7, 30, 11], [11, 14, -23], [-23, 32, 2], [2, 32, -23], [-23, 14, 11], [11, 30, -7], [-7, 26, 19], [19, 12, -14], [-14, 16, 17], [17, 18, -13], [-13, 34, 1], [1, 34, -13], [-13, 18, 17], [17, 16, -14]] (m)c.f.e: [1, -4, 2, -1, 16, -1, 2, -4, 1, -1, 1, -2, 34, -2, 1, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 303 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 5, 2, 2, 34] Pell solution, x^2- 303 y^2= 1 : [2524, 145] ---------- 6 cycle: [[7, 22, -26], [-26, 30, 3], [3, 30, -26], [-26, 22, 7], [7, 34, -2], [-2, 34, 7]] (m)c.f.e: [-1, 10, -1, 4, -17, 4] 6 cycle: [[-7, 22, 26], [26, 30, -3], [-3, 30, 26], [26, 22, -7], [-7, 34, 2], [2, 34, -7]] (m)c.f.e: [1, -10, 1, -4, 17, -4] 6 cycle: [[13, 22, -14], [-14, 34, 1], [1, 34, -14], [-14, 22, 13], [13, 30, -6], [-6, 30, 13]] (m)c.f.e: [-2, 34, -2, 2, -5, 2] 6 cycle: [[-13, 22, 14], [14, 34, -1], [-1, 34, 14], [14, 22, -13], [-13, 30, 6], [6, 30, -13]] (m)c.f.e: [2, -34, 2, -2, 5, -2] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 305 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 6, 2, 34] Pell solution, x^2- 305 y^2= 1 : [489, 28] ---------- 8 cycle: [[7, 5, -10], [-10, 15, 2], [2, 17, -2], [-2, 15, 10], [10, 5, -7], [-7, 9, 8], [8, 7, -8], [-8, 9, 7]] (m)c.f.e: [-1, 8, -8, 1, -1, 1, -1, 1] 8 cycle: [[-7, 5, 10], [10, 15, -2], [-2, 17, 2], [2, 15, -10], [-10, 5, 7], [7, 9, -8], [-8, 7, 8], [8, 9, -7]] (m)c.f.e: [1, -8, 8, -1, 1, -1, 1, -1] 4 cycle: [[4, 15, -5], [-5, 15, 4], [4, 17, -1], [-1, 17, 4]] (m)c.f.e: [-3, 4, -17, 4] 4 cycle: [[-4, 15, 5], [5, 15, -4], [-4, 17, 1], [1, 17, -4]] (m)c.f.e: [3, -4, 17, -4] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 307 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 11, 5, 1, 3, 17, 3, 1, 5, 11, 1, 1, 34] Pell solution, x^2- 307 y^2= 1 : [88529282, 5052633] ---------- 14 cycle: [[17, 2, -18], [-18, 34, 1], [1, 34, -18], [-18, 2, 17], [17, 32, -3], [-3, 34, 6], [6, 26, -23], [-23, 20, 9], [9, 34, -2], [-2, 34, 9], [9, 20, -23], [-23, 26, 6], [6, 34, -3], [-3, 32, 17]] (m)c.f.e: [-1, 34, -1, 1, -11, 5, -1, 3, -17, 3, -1, 5, -11, 1] 14 cycle: [[-17, 2, 18], [18, 34, -1], [-1, 34, 18], [18, 2, -17], [-17, 32, 3], [3, 34, -6], [-6, 26, 23], [23, 20, -9], [-9, 34, 2], [2, 34, -9], [-9, 20, 23], [23, 26, -6], [-6, 34, 3], [3, 32, -17]] (m)c.f.e: [1, -34, 1, -1, 11, -5, 1, -3, 17, -3, 1, -5, 11, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 309 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 2, 4, 1, 1, 1, 8, 6, 1, 10, 1, 6, 8, 1, 1, 1, 4, 2, 1, 2, 1, 1, 34] Pell solution, x^2- 309 y^2= 1 : [64202725495, 3652365444] ---------- 6 cycle: [[5, 13, -7], [-7, 15, 3], [3, 15, -7], [-7, 13, 5], [5, 17, -1], [-1, 17, 5]] (m)c.f.e: [-2, 5, -2, 3, -17, 3] 6 cycle: [[-5, 13, 7], [7, 15, -3], [-3, 15, 7], [7, 13, -5], [-5, 17, 1], [1, 17, -5]] (m)c.f.e: [2, -5, 2, -3, 17, -3] number of reduced forms: 12 partition: [6, 6] ============================== d: 310 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34] Pell solution, x^2- 310 y^2= 1 : [848719, 48204] ---------- 12 cycle: [[17, 4, -18], [-18, 32, 3], [3, 34, -7], [-7, 22, 27], [27, 32, -2], [-2, 32, 27], [27, 22, -7], [-7, 34, 3], [3, 32, -18], [-18, 4, 17], [17, 30, -5], [-5, 30, 17]] (m)c.f.e: [-1, 11, -4, 1, -16, 1, -4, 11, -1, 1, -6, 1] 12 cycle: [[-17, 4, 18], [18, 32, -3], [-3, 34, 7], [7, 22, -27], [-27, 32, 2], [2, 32, -27], [-27, 22, 7], [7, 34, -3], [-3, 32, 18], [18, 4, -17], [-17, 30, 5], [5, 30, -17]] (m)c.f.e: [1, -11, 4, -1, 16, -1, 4, -11, 1, -1, 6, -1] 16 cycle: [[14, 8, -21], [-21, 34, 1], [1, 34, -21], [-21, 8, 14], [14, 20, -15], [-15, 10, 19], [19, 28, -6], [-6, 32, 9], [9, 22, -21], [-21, 20, 10], [10, 20, -21], [-21, 22, 9], [9, 32, -6], [-6, 28, 19], [19, 10, -15], [-15, 20, 14]] (m)c.f.e: [-1, 34, -1, 1, -1, 1, -5, 3, -1, 2, -1, 3, -5, 1, -1, 1] 16 cycle: [[-14, 8, 21], [21, 34, -1], [-1, 34, 21], [21, 8, -14], [-14, 20, 15], [15, 10, -19], [-19, 28, 6], [6, 32, -9], [-9, 22, 21], [21, 20, -10], [-10, 20, 21], [21, 22, -9], [-9, 32, 6], [6, 28, -19], [-19, 10, 15], [15, 20, -14]] (m)c.f.e: [1, -34, 1, -1, 1, -1, 5, -3, 1, -2, 1, -3, 5, -1, 1, -1] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 311 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 1, 6, 3, 17, 3, 6, 1, 2, 1, 1, 1, 34] Pell solution, x^2- 311 y^2= 1 : [16883880, 957397] ---------- 16 cycle: [[13, 10, -22], [-22, 34, 1], [1, 34, -22], [-22, 10, 13], [13, 16, -19], [-19, 22, 10], [10, 18, -23], [-23, 28, 5], [5, 32, -11], [-11, 34, 2], [2, 34, -11], [-11, 32, 5], [5, 28, -23], [-23, 18, 10], [10, 22, -19], [-19, 16, 13]] (m)c.f.e: [-1, 34, -1, 1, -1, 2, -1, 6, -3, 17, -3, 6, -1, 2, -1, 1] 16 cycle: [[-13, 10, 22], [22, 34, -1], [-1, 34, 22], [22, 10, -13], [-13, 16, 19], [19, 22, -10], [-10, 18, 23], [23, 28, -5], [-5, 32, 11], [11, 34, -2], [-2, 34, 11], [11, 32, -5], [-5, 28, 23], [23, 18, -10], [-10, 22, 19], [19, 16, -13]] (m)c.f.e: [1, -34, 1, -1, 1, -2, 1, -6, 3, -17, 3, -6, 1, -2, 1, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 313 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 4, 11, 1, 1, 3, 2, 2, 3, 1, 1, 11, 4, 2, 1, 34] Pell solution, x^2- 313 y^2= -1 : [126862368, 7170685] ---------- 38 cycle: [[8, 5, -9], [-9, 13, 4], [4, 11, -12], [-12, 13, 3], [3, 17, -2], [-2, 15, 11], [11, 7, -6], [-6, 17, 1], [1, 17, -6], [-6, 7, 11], [11, 15, -2], [-2, 17, 3], [3, 13, -12], [-12, 11, 4], [4, 13, -9], [-9, 5, 8], [8, 11, -6], [-6, 13, 6], [6, 11, -8], [-8, 5, 9], [9, 13, -4], [-4, 11, 12], [12, 13, -3], [-3, 17, 2], [2, 15, -11], [-11, 7, 6], [6, 17, -1], [-1, 17, 6], [6, 7, -11], [-11, 15, 2], [2, 17, -3], [-3, 13, 12], [12, 11, -4], [-4, 13, 9], [9, 5, -8], [-8, 11, 6], [6, 13, -6], [-6, 11, 8]] (m)c.f.e: [-1, 3, -1, 5, -8, 1, -2, 17, -2, 1, -8, 5, -1, 3, -1, 1, -2, 2, -1, 1, -3, 1, -5, 8, -1, 2, -17, 2, -1, 8, -5, 1, -3, 1, -1, 2, -2, 1] number of reduced forms: 38 partition: [38] ============================== d: 314 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 2, 1, 34] Pell solution, x^2- 314 y^2= -1 : [443, 25] ---------- 14 cycle: [[17, 10, -17], [-17, 24, 10], [10, 16, -25], [-25, 34, 1], [1, 34, -25], [-25, 16, 10], [10, 24, -17], [-17, 10, 17], [17, 24, -10], [-10, 16, 25], [25, 34, -1], [-1, 34, 25], [25, 16, -10], [-10, 24, 17]] (m)c.f.e: [-1, 2, -1, 34, -1, 2, -1, 1, -2, 1, -34, 1, -2, 1] 10 cycle: [[5, 26, -29], [-29, 32, 2], [2, 32, -29], [-29, 26, 5], [5, 34, -5], [-5, 26, 29], [29, 32, -2], [-2, 32, 29], [29, 26, -5], [-5, 34, 5]] (m)c.f.e: [-1, 16, -1, 6, -6, 1, -16, 1, -6, 6] number of reduced forms: 24 partition: [10, 14] ============================== d: 317 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34] Pell solution, x^2- 317 y^2= -1 : [352618, 19805] ---------- 6 cycle: [[7, 11, -7], [-7, 17, 1], [1, 17, -7], [-7, 11, 7], [7, 17, -1], [-1, 17, 7]] (m)c.f.e: [-2, 17, -2, 2, -17, 2] number of reduced forms: 6 partition: [6] ============================== d: 318 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 34] Pell solution, x^2- 318 y^2= 1 : [107, 6] ---------- 4 cycle: [[6, 24, -29], [-29, 34, 1], [1, 34, -29], [-29, 24, 6]] (m)c.f.e: [-1, 34, -1, 4] 4 cycle: [[-6, 24, 29], [29, 34, -1], [-1, 34, 29], [29, 24, -6]] (m)c.f.e: [1, -34, 1, -4] 4 cycle: [[3, 30, -31], [-31, 32, 2], [2, 32, -31], [-31, 30, 3]] (m)c.f.e: [-1, 16, -1, 10] 4 cycle: [[-3, 30, 31], [31, 32, -2], [-2, 32, 31], [31, 30, -3]] (m)c.f.e: [1, -16, 1, -10] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 319 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34] Pell solution, x^2- 319 y^2= 1 : [12901780, 722361] ---------- 18 cycle: [[14, 10, -21], [-21, 32, 3], [3, 34, -10], [-10, 26, 15], [15, 34, -2], [-2, 34, 15], [15, 26, -10], [-10, 34, 3], [3, 32, -21], [-21, 10, 14], [14, 18, -17], [-17, 16, 15], [15, 14, -18], [-18, 22, 11], [11, 22, -18], [-18, 14, 15], [15, 16, -17], [-17, 18, 14]] (m)c.f.e: [-1, 11, -3, 2, -17, 2, -3, 11, -1, 1, -1, 1, -1, 2, -1, 1, -1, 1] 18 cycle: [[-14, 10, 21], [21, 32, -3], [-3, 34, 10], [10, 26, -15], [-15, 34, 2], [2, 34, -15], [-15, 26, 10], [10, 34, -3], [-3, 32, 21], [21, 10, -14], [-14, 18, 17], [17, 16, -15], [-15, 14, 18], [18, 22, -11], [-11, 22, 18], [18, 14, -15], [-15, 16, 17], [17, 18, -14]] (m)c.f.e: [1, -11, 3, -2, 17, -2, 3, -11, 1, -1, 1, -1, 1, -2, 1, -1, 1, -1] 14 cycle: [[9, 22, -22], [-22, 22, 9], [9, 32, -7], [-7, 24, 25], [25, 26, -6], [-6, 34, 5], [5, 26, -30], [-30, 34, 1], [1, 34, -30], [-30, 26, 5], [5, 34, -6], [-6, 26, 25], [25, 24, -7], [-7, 32, 9]] (m)c.f.e: [-1, 3, -4, 1, -5, 6, -1, 34, -1, 6, -5, 1, -4, 3] 14 cycle: [[-9, 22, 22], [22, 22, -9], [-9, 32, 7], [7, 24, -25], [-25, 26, 6], [6, 34, -5], [-5, 26, 30], [30, 34, -1], [-1, 34, 30], [30, 26, -5], [-5, 34, 6], [6, 26, -25], [-25, 24, 7], [7, 32, -9]] (m)c.f.e: [1, -3, 4, -1, 5, -6, 1, -34, 1, -6, 5, -1, 4, -3] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 321 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 10, 1, 34] Pell solution, x^2- 321 y^2= 1 : [215, 12] ---------- 6 cycle: [[5, 9, -12], [-12, 15, 2], [2, 17, -4], [-4, 15, 6], [6, 9, -10], [-10, 11, 5]] (m)c.f.e: [-1, 8, -4, 2, -1, 2] 6 cycle: [[-5, 9, 12], [12, 15, -2], [-2, 17, 4], [4, 15, -6], [-6, 9, 10], [10, 11, -5]] (m)c.f.e: [1, -8, 4, -2, 1, -2] 6 cycle: [[10, 9, -6], [-6, 15, 4], [4, 17, -2], [-2, 15, 12], [12, 9, -5], [-5, 11, 10]] (m)c.f.e: [-2, 4, -8, 1, -2, 1] 6 cycle: [[-10, 9, 6], [6, 15, -4], [-4, 17, 2], [2, 15, -12], [-12, 9, 5], [5, 11, -10]] (m)c.f.e: [2, -4, 8, -1, 2, -1] 4 cycle: [[3, 15, -8], [-8, 17, 1], [1, 17, -8], [-8, 15, 3]] (m)c.f.e: [-2, 17, -2, 5] 4 cycle: [[-3, 15, 8], [8, 17, -1], [-1, 17, 8], [8, 15, -3]] (m)c.f.e: [2, -17, 2, -5] number of reduced forms: 32 partition: [4, 4, 6, 6, 6, 6] ============================== d: 322 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 16, 1, 34] Pell solution, x^2- 322 y^2= 1 : [323, 18] ---------- 8 cycle: [[17, 8, -18], [-18, 28, 7], [7, 28, -18], [-18, 8, 17], [17, 26, -9], [-9, 28, 14], [14, 28, -9], [-9, 26, 17]] (m)c.f.e: [-1, 4, -1, 1, -3, 2, -3, 1] 8 cycle: [[-17, 8, 18], [18, 28, -7], [-7, 28, 18], [18, 8, -17], [-17, 26, 9], [9, 28, -14], [-14, 28, 9], [9, 26, -17]] (m)c.f.e: [1, -4, 1, -1, 3, -2, 3, -1] 6 cycle: [[13, 12, -22], [-22, 32, 3], [3, 34, -11], [-11, 32, 6], [6, 28, -21], [-21, 14, 13]] (m)c.f.e: [-1, 11, -3, 5, -1, 1] 6 cycle: [[-13, 12, 22], [22, 32, -3], [-3, 34, 11], [11, 32, -6], [-6, 28, 21], [21, 14, -13]] (m)c.f.e: [1, -11, 3, -5, 1, -1] 6 cycle: [[22, 12, -13], [-13, 14, 21], [21, 28, -6], [-6, 32, 11], [11, 34, -3], [-3, 32, 22]] (m)c.f.e: [-1, 1, -5, 3, -11, 1] 6 cycle: [[-22, 12, 13], [13, 14, -21], [-21, 28, 6], [6, 32, -11], [-11, 34, 3], [3, 32, -22]] (m)c.f.e: [1, -1, 5, -3, 11, -1] 4 cycle: [[2, 32, -33], [-33, 34, 1], [1, 34, -33], [-33, 32, 2]] (m)c.f.e: [-1, 34, -1, 16] 4 cycle: [[-2, 32, 33], [33, 34, -1], [-1, 34, 33], [33, 32, -2]] (m)c.f.e: [1, -34, 1, -16] number of reduced forms: 48 partition: [4, 4, 6, 6, 6, 6, 8, 8] ============================== d: 323 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 34] Pell solution, x^2- 323 y^2= 1 : [18, 1] ---------- 4 cycle: [[11, 18, -22], [-22, 26, 7], [7, 30, -14], [-14, 26, 11]] (m)c.f.e: [-1, 4, -2, 2] 4 cycle: [[-11, 18, 22], [22, 26, -7], [-7, 30, 14], [14, 26, -11]] (m)c.f.e: [1, -4, 2, -2] 4 cycle: [[22, 18, -11], [-11, 26, 14], [14, 30, -7], [-7, 26, 22]] (m)c.f.e: [-2, 2, -4, 1] 4 cycle: [[-22, 18, 11], [11, 26, -14], [-14, 30, 7], [7, 26, -22]] (m)c.f.e: [2, -2, 4, -1] 2 cycle: [[1, 34, -34], [-34, 34, 1]] (m)c.f.e: [-1, 34] 2 cycle: [[-1, 34, 34], [34, 34, -1]] (m)c.f.e: [1, -34] 2 cycle: [[2, 34, -17], [-17, 34, 2]] (m)c.f.e: [-2, 17] 2 cycle: [[-2, 34, 17], [17, 34, -2]] (m)c.f.e: [2, -17] number of reduced forms: 24 partition: [2, 2, 2, 2, 4, 4, 4, 4] ============================== d: 326 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [18, 36] Pell solution, x^2- 326 y^2= 1 : [325, 18] ---------- 6 cycle: [[7, 24, -26], [-26, 28, 5], [5, 32, -14], [-14, 24, 13], [13, 28, -10], [-10, 32, 7]] (m)c.f.e: [-1, 6, -2, 2, -3, 4] 6 cycle: [[-7, 24, 26], [26, 28, -5], [-5, 32, 14], [14, 24, -13], [-13, 28, 10], [10, 32, -7]] (m)c.f.e: [1, -6, 2, -2, 3, -4] 6 cycle: [[13, 24, -14], [-14, 32, 5], [5, 28, -26], [-26, 24, 7], [7, 32, -10], [-10, 28, 13]] (m)c.f.e: [-2, 6, -1, 4, -3, 2] 6 cycle: [[-13, 24, 14], [14, 32, -5], [-5, 28, 26], [26, 24, -7], [-7, 32, 10], [10, 28, -13]] (m)c.f.e: [2, -6, 1, -4, 3, -2] 2 cycle: [[1, 36, -2], [-2, 36, 1]] (m)c.f.e: [-18, 36] 2 cycle: [[-1, 36, 2], [2, 36, -1]] (m)c.f.e: [18, -36] number of reduced forms: 28 partition: [2, 2, 6, 6, 6, 6] ============================== d: 327 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [12, 36] Pell solution, x^2- 327 y^2= 1 : [217, 12] ---------- 6 cycle: [[17, 4, -19], [-19, 34, 2], [2, 34, -19], [-19, 4, 17], [17, 30, -6], [-6, 30, 17]] (m)c.f.e: [-1, 17, -1, 1, -5, 1] 6 cycle: [[-17, 4, 19], [19, 34, -2], [-2, 34, 19], [19, 4, -17], [-17, 30, 6], [6, 30, -17]] (m)c.f.e: [1, -17, 1, -1, 5, -1] 2 cycle: [[1, 36, -3], [-3, 36, 1]] (m)c.f.e: [-12, 36] 2 cycle: [[-1, 36, 3], [3, 36, -1]] (m)c.f.e: [12, -36] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 329 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 4, 2, 1, 1, 4, 1, 1, 2, 4, 7, 36] Pell solution, x^2- 329 y^2= 1 : [2376415, 131016] ---------- 16 cycle: [[8, 3, -10], [-10, 17, 1], [1, 17, -10], [-10, 3, 8], [8, 13, -5], [-5, 17, 2], [2, 15, -13], [-13, 11, 4], [4, 13, -10], [-10, 7, 7], [7, 7, -10], [-10, 13, 4], [4, 11, -13], [-13, 15, 2], [2, 17, -5], [-5, 13, 8]] (m)c.f.e: [-1, 17, -1, 1, -3, 8, -1, 3, -1, 1, -1, 3, -1, 8, -3, 1] 16 cycle: [[-8, 3, 10], [10, 17, -1], [-1, 17, 10], [10, 3, -8], [-8, 13, 5], [5, 17, -2], [-2, 15, 13], [13, 11, -4], [-4, 13, 10], [10, 7, -7], [-7, 7, 10], [10, 13, -4], [-4, 11, 13], [13, 15, -2], [-2, 17, 5], [5, 13, -8]] (m)c.f.e: [1, -17, 1, -1, 3, -8, 1, -3, 1, -1, 1, -3, 1, -8, 3, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 330 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 36] Pell solution, x^2- 330 y^2= 1 : [109, 6] ---------- 8 cycle: [[14, 12, -21], [-21, 30, 5], [5, 30, -21], [-21, 12, 14], [14, 16, -19], [-19, 22, 11], [11, 22, -19], [-19, 16, 14]] (m)c.f.e: [-1, 6, -1, 1, -1, 2, -1, 1] 8 cycle: [[-14, 12, 21], [21, 30, -5], [-5, 30, 21], [21, 12, -14], [-14, 16, 19], [19, 22, -11], [-11, 22, 19], [19, 16, -14]] (m)c.f.e: [1, -6, 1, -1, 1, -2, 1, -1] 6 cycle: [[10, 20, -23], [-23, 26, 7], [7, 30, -15], [-15, 30, 7], [7, 26, -23], [-23, 20, 10]] (m)c.f.e: [-1, 4, -2, 4, -1, 2] 6 cycle: [[-10, 20, 23], [23, 26, -7], [-7, 30, 15], [15, 30, -7], [-7, 26, 23], [23, 20, -10]] (m)c.f.e: [1, -4, 2, -4, 1, -2] 2 cycle: [[1, 36, -6], [-6, 36, 1]] (m)c.f.e: [-6, 36] 2 cycle: [[-1, 36, 6], [6, 36, -1]] (m)c.f.e: [6, -36] 2 cycle: [[2, 36, -3], [-3, 36, 2]] (m)c.f.e: [-12, 18] 2 cycle: [[-2, 36, 3], [3, 36, -2]] (m)c.f.e: [12, -18] number of reduced forms: 36 partition: [2, 2, 2, 2, 6, 6, 8, 8] ============================== d: 331 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 5, 1, 6, 2, 3, 1, 1, 2, 1, 2, 1, 11, 2, 1, 1, 17, 1, 1, 2, 11, 1, 2, 1, 2, 1, 1, 3, 2, 6, 1, 5, 5, 36] Pell solution, x^2- 331 y^2= 1 : [2785589801443970, 153109862634573] ---------- 34 cycle: [[15, 8, -21], [-21, 34, 2], [2, 34, -21], [-21, 8, 15], [15, 22, -14], [-14, 34, 3], [3, 32, -25], [-25, 18, 10], [10, 22, -21], [-21, 20, 11], [11, 24, -17], [-17, 10, 18], [18, 26, -9], [-9, 28, 15], [15, 32, -5], [-5, 28, 27], [27, 26, -6], [-6, 34, 7], [7, 36, -1], [-1, 36, 7], [7, 34, -6], [-6, 26, 27], [27, 28, -5], [-5, 32, 15], [15, 28, -9], [-9, 26, 18], [18, 10, -17], [-17, 24, 11], [11, 20, -21], [-21, 22, 10], [10, 18, -25], [-25, 32, 3], [3, 34, -14], [-14, 22, 15]] (m)c.f.e: [-1, 17, -1, 1, -2, 11, -1, 2, -1, 2, -1, 1, -3, 2, -6, 1, -5, 5, -36, 5, -5, 1, -6, 2, -3, 1, -1, 2, -1, 2, -1, 11, -2, 1] 34 cycle: [[-15, 8, 21], [21, 34, -2], [-2, 34, 21], [21, 8, -15], [-15, 22, 14], [14, 34, -3], [-3, 32, 25], [25, 18, -10], [-10, 22, 21], [21, 20, -11], [-11, 24, 17], [17, 10, -18], [-18, 26, 9], [9, 28, -15], [-15, 32, 5], [5, 28, -27], [-27, 26, 6], [6, 34, -7], [-7, 36, 1], [1, 36, -7], [-7, 34, 6], [6, 26, -27], [-27, 28, 5], [5, 32, -15], [-15, 28, 9], [9, 26, -18], [-18, 10, 17], [17, 24, -11], [-11, 20, 21], [21, 22, -10], [-10, 18, 25], [25, 32, -3], [-3, 34, 14], [14, 22, -15]] (m)c.f.e: [1, -17, 1, -1, 2, -11, 1, -2, 1, -2, 1, -1, 3, -2, 6, -1, 5, -5, 36, -5, 5, -1, 6, -2, 3, -1, 1, -2, 1, -2, 1, -11, 2, -1] number of reduced forms: 68 partition: [34, 34] ============================== d: 334 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 1, 2, 5, 1, 2, 2, 11, 1, 3, 7, 18, 7, 3, 1, 11, 2, 2, 1, 5, 2, 1, 1, 1, 3, 36] Pell solution, x^2- 334 y^2= 1 : [63804373719695, 3491219999244] ---------- 28 cycle: [[15, 14, -19], [-19, 24, 10], [10, 36, -1], [-1, 36, 10], [10, 24, -19], [-19, 14, 15], [15, 16, -18], [-18, 20, 13], [13, 32, -6], [-6, 28, 23], [23, 18, -11], [-11, 26, 15], [15, 34, -3], [-3, 32, 26], [26, 20, -9], [-9, 34, 5], [5, 36, -2], [-2, 36, 5], [5, 34, -9], [-9, 20, 26], [26, 32, -3], [-3, 34, 15], [15, 26, -11], [-11, 18, 23], [23, 28, -6], [-6, 32, 13], [13, 20, -18], [-18, 16, 15]] (m)c.f.e: [-1, 3, -36, 3, -1, 1, -1, 2, -5, 1, -2, 2, -11, 1, -3, 7, -18, 7, -3, 1, -11, 2, -2, 1, -5, 2, -1, 1] 28 cycle: [[-15, 14, 19], [19, 24, -10], [-10, 36, 1], [1, 36, -10], [-10, 24, 19], [19, 14, -15], [-15, 16, 18], [18, 20, -13], [-13, 32, 6], [6, 28, -23], [-23, 18, 11], [11, 26, -15], [-15, 34, 3], [3, 32, -26], [-26, 20, 9], [9, 34, -5], [-5, 36, 2], [2, 36, -5], [-5, 34, 9], [9, 20, -26], [-26, 32, 3], [3, 34, -15], [-15, 26, 11], [11, 18, -23], [-23, 28, 6], [6, 32, -13], [-13, 20, 18], [18, 16, -15]] (m)c.f.e: [1, -3, 36, -3, 1, -1, 1, -2, 5, -1, 2, -2, 11, -1, 3, -7, 18, -7, 3, -1, 11, -2, 2, -1, 5, -2, 1, -1] number of reduced forms: 56 partition: [28, 28] ============================== d: 335 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 3, 3, 36] Pell solution, x^2- 335 y^2= 1 : [604, 33] ---------- 8 cycle: [[13, 12, -23], [-23, 34, 2], [2, 34, -23], [-23, 12, 13], [13, 14, -22], [-22, 30, 5], [5, 30, -22], [-22, 14, 13]] (m)c.f.e: [-1, 17, -1, 1, -1, 6, -1, 1] 8 cycle: [[-13, 12, 23], [23, 34, -2], [-2, 34, 23], [23, 12, -13], [-13, 14, 22], [22, 30, -5], [-5, 30, 22], [22, 14, -13]] (m)c.f.e: [1, -17, 1, -1, 1, -6, 1, -1] 4 cycle: [[10, 30, -11], [-11, 36, 1], [1, 36, -11], [-11, 30, 10]] (m)c.f.e: [-3, 36, -3, 3] 4 cycle: [[-10, 30, 11], [11, 36, -1], [-1, 36, 11], [11, 30, -10]] (m)c.f.e: [3, -36, 3, -3] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 337 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 3, 1, 11, 2, 4, 1, 3, 3, 1, 4, 2, 11, 1, 3, 1, 2, 36] Pell solution, x^2- 337 y^2= -1 : [1015827336, 55335641] ---------- 42 cycle: [[6, 7, -12], [-12, 17, 1], [1, 17, -12], [-12, 7, 6], [6, 17, -2], [-2, 15, 14], [14, 13, -3], [-3, 17, 4], [4, 15, -7], [-7, 13, 6], [6, 11, -9], [-9, 7, 8], [8, 9, -8], [-8, 7, 9], [9, 11, -6], [-6, 13, 7], [7, 15, -4], [-4, 17, 3], [3, 13, -14], [-14, 15, 2], [2, 17, -6], [-6, 7, 12], [12, 17, -1], [-1, 17, 12], [12, 7, -6], [-6, 17, 2], [2, 15, -14], [-14, 13, 3], [3, 17, -4], [-4, 15, 7], [7, 13, -6], [-6, 11, 9], [9, 7, -8], [-8, 9, 8], [8, 7, -9], [-9, 11, 6], [6, 13, -7], [-7, 15, 4], [4, 17, -3], [-3, 13, 14], [14, 15, -2], [-2, 17, 6]] (m)c.f.e: [-1, 17, -1, 2, -8, 1, -5, 4, -2, 2, -1, 1, -1, 1, -2, 2, -4, 5, -1, 8, -2, 1, -17, 1, -2, 8, -1, 5, -4, 2, -2, 1, -1, 1, -1, 2, -2, 4, -5, 1, -8, 2] number of reduced forms: 42 partition: [42] ============================== d: 339 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 2, 1, 17, 1, 2, 2, 2, 36] Pell solution, x^2- 339 y^2= 1 : [97970, 5321] ---------- 10 cycle: [[17, 8, -19], [-19, 30, 6], [6, 30, -19], [-19, 8, 17], [17, 26, -10], [-10, 34, 5], [5, 36, -3], [-3, 36, 5], [5, 34, -10], [-10, 26, 17]] (m)c.f.e: [-1, 5, -1, 1, -3, 7, -12, 7, -3, 1] 10 cycle: [[-17, 8, 19], [19, 30, -6], [-6, 30, 19], [19, 8, -17], [-17, 26, 10], [10, 34, -5], [-5, 36, 3], [3, 36, -5], [-5, 34, 10], [10, 26, -17]] (m)c.f.e: [1, -5, 1, -1, 3, -7, 12, -7, 3, -1] 10 cycle: [[11, 16, -25], [-25, 34, 2], [2, 34, -25], [-25, 16, 11], [11, 28, -13], [-13, 24, 15], [15, 36, -1], [-1, 36, 15], [15, 24, -13], [-13, 28, 11]] (m)c.f.e: [-1, 17, -1, 2, -2, 2, -36, 2, -2, 2] 10 cycle: [[-11, 16, 25], [25, 34, -2], [-2, 34, 25], [25, 16, -11], [-11, 28, 13], [13, 24, -15], [-15, 36, 1], [1, 36, -15], [-15, 24, 13], [13, 28, -11]] (m)c.f.e: [1, -17, 1, -2, 2, -2, 36, -2, 2, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 341 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36] Pell solution, x^2- 341 y^2= 1 : [10626551, 575460] ---------- 6 cycle: [[5, 9, -13], [-13, 17, 1], [1, 17, -13], [-13, 9, 5], [5, 11, -11], [-11, 11, 5]] (m)c.f.e: [-1, 17, -1, 2, -1, 2] 6 cycle: [[-5, 9, 13], [13, 17, -1], [-1, 17, 13], [13, 9, -5], [-5, 11, 11], [11, 11, -5]] (m)c.f.e: [1, -17, 1, -2, 1, -2] number of reduced forms: 12 partition: [6, 6] ============================== d: 345 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 6, 1, 2, 1, 1, 36] Pell solution, x^2- 345 y^2= 1 : [6761, 364] ---------- 10 cycle: [[8, 5, -10], [-10, 15, 3], [3, 15, -10], [-10, 5, 8], [8, 11, -7], [-7, 17, 2], [2, 15, -15], [-15, 15, 2], [2, 17, -7], [-7, 11, 8]] (m)c.f.e: [-1, 5, -1, 1, -2, 8, -1, 8, -2, 1] 10 cycle: [[-8, 5, 10], [10, 15, -3], [-3, 15, 10], [10, 5, -8], [-8, 11, 7], [7, 17, -2], [-2, 15, 15], [15, 15, -2], [-2, 17, 7], [7, 11, -8]] (m)c.f.e: [1, -5, 1, -1, 2, -8, 1, -8, 2, -1] 10 cycle: [[6, 9, -11], [-11, 13, 4], [4, 11, -14], [-14, 17, 1], [1, 17, -14], [-14, 11, 4], [4, 13, -11], [-11, 9, 6], [6, 15, -5], [-5, 15, 6]] (m)c.f.e: [-1, 3, -1, 17, -1, 3, -1, 2, -3, 2] 10 cycle: [[-6, 9, 11], [11, 13, -4], [-4, 11, 14], [14, 17, -1], [-1, 17, 14], [14, 11, -4], [-4, 13, 11], [11, 9, -6], [-6, 15, 5], [5, 15, -6]] (m)c.f.e: [1, -3, 1, -17, 1, -3, 1, -2, 3, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 346 number of cycles (narrow class number): 6 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 36] Pell solution, x^2- 346 y^2= -1 : [93, 5] ---------- 10 cycle: [[18, 4, -19], [-19, 34, 3], [3, 32, -30], [-30, 28, 5], [5, 32, -18], [-18, 4, 19], [19, 34, -3], [-3, 32, 30], [30, 28, -5], [-5, 32, 18]] (m)c.f.e: [-1, 11, -1, 6, -1, 1, -11, 1, -6, 1] 10 cycle: [[19, 4, -18], [-18, 32, 5], [5, 28, -30], [-30, 32, 3], [3, 34, -19], [-19, 4, 18], [18, 32, -5], [-5, 28, 30], [30, 32, -3], [-3, 34, 19]] (m)c.f.e: [-1, 6, -1, 11, -1, 1, -6, 1, -11, 1] 10 cycle: [[15, 8, -22], [-22, 36, 1], [1, 36, -22], [-22, 8, 15], [15, 22, -15], [-15, 8, 22], [22, 36, -1], [-1, 36, 22], [22, 8, -15], [-15, 22, 15]] (m)c.f.e: [-1, 36, -1, 1, -1, 1, -36, 1, -1, 1] 10 cycle: [[9, 22, -25], [-25, 28, 6], [6, 32, -15], [-15, 28, 10], [10, 32, -9], [-9, 22, 25], [25, 28, -6], [-6, 32, 15], [15, 28, -10], [-10, 32, 9]] (m)c.f.e: [-1, 5, -2, 3, -3, 1, -5, 2, -3, 3] 10 cycle: [[25, 22, -9], [-9, 32, 10], [10, 28, -15], [-15, 32, 6], [6, 28, -25], [-25, 22, 9], [9, 32, -10], [-10, 28, 15], [15, 32, -6], [-6, 28, 25]] (m)c.f.e: [-3, 3, -2, 5, -1, 3, -3, 2, -5, 1] 6 cycle: [[11, 30, -11], [-11, 36, 2], [2, 36, -11], [-11, 30, 11], [11, 36, -2], [-2, 36, 11]] (m)c.f.e: [-3, 18, -3, 3, -18, 3] number of reduced forms: 56 partition: [6, 10, 10, 10, 10, 10] ============================== d: 347 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 4, 1, 17, 1, 4, 2, 1, 1, 1, 36] Pell solution, x^2- 347 y^2= 1 : [641602, 34443] ---------- 14 cycle: [[14, 10, -23], [-23, 36, 1], [1, 36, -23], [-23, 10, 14], [14, 18, -19], [-19, 20, 13], [13, 32, -7], [-7, 24, 29], [29, 34, -2], [-2, 34, 29], [29, 24, -7], [-7, 32, 13], [13, 20, -19], [-19, 18, 14]] (m)c.f.e: [-1, 36, -1, 1, -1, 2, -4, 1, -17, 1, -4, 2, -1, 1] 14 cycle: [[-14, 10, 23], [23, 36, -1], [-1, 36, 23], [23, 10, -14], [-14, 18, 19], [19, 20, -13], [-13, 32, 7], [7, 24, -29], [-29, 34, 2], [2, 34, -29], [-29, 24, 7], [7, 32, -13], [-13, 20, 19], [19, 18, -14]] (m)c.f.e: [1, -36, 1, -1, 1, -2, 4, -1, 17, -1, 4, -2, 1, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 349 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 7, 7, 2, 1, 36] Pell solution, x^2- 349 y^2= -1 : [9210, 493] ---------- 18 cycle: [[9, 5, -9], [-9, 13, 5], [5, 17, -3], [-3, 13, 15], [15, 17, -1], [-1, 17, 15], [15, 13, -3], [-3, 17, 5], [5, 13, -9], [-9, 5, 9], [9, 13, -5], [-5, 17, 3], [3, 13, -15], [-15, 17, 1], [1, 17, -15], [-15, 13, 3], [3, 17, -5], [-5, 13, 9]] (m)c.f.e: [-1, 3, -5, 1, -17, 1, -5, 3, -1, 1, -3, 5, -1, 17, -1, 5, -3, 1] number of reduced forms: 18 partition: [18] ============================== d: 353 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 36] Pell solution, x^2- 353 y^2= -1 : [71264, 3793] ---------- 18 cycle: [[2, 15, -16], [-16, 17, 1], [1, 17, -16], [-16, 15, 2], [2, 17, -8], [-8, 15, 4], [4, 17, -4], [-4, 15, 8], [8, 17, -2], [-2, 15, 16], [16, 17, -1], [-1, 17, 16], [16, 15, -2], [-2, 17, 8], [8, 15, -4], [-4, 17, 4], [4, 15, -8], [-8, 17, 2]] (m)c.f.e: [-1, 17, -1, 8, -2, 4, -4, 2, -8, 1, -17, 1, -8, 2, -4, 4, -2, 8] number of reduced forms: 18 partition: [18] ============================== d: 354 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 2, 2, 18, 2, 2, 4, 1, 36] Pell solution, x^2- 354 y^2= 1 : [258065, 13716] ---------- 10 cycle: [[13, 18, -21], [-21, 24, 10], [10, 36, -3], [-3, 36, 10], [10, 24, -21], [-21, 18, 13], [13, 34, -5], [-5, 36, 6], [6, 36, -5], [-5, 34, 13]] (m)c.f.e: [-1, 3, -12, 3, -1, 2, -7, 6, -7, 2] 10 cycle: [[-13, 18, 21], [21, 24, -10], [-10, 36, 3], [3, 36, -10], [-10, 24, 21], [21, 18, -13], [-13, 34, 5], [5, 36, -6], [-6, 36, 5], [5, 34, -13]] (m)c.f.e: [1, -3, 12, -3, 1, -2, 7, -6, 7, -2] 10 cycle: [[7, 24, -30], [-30, 36, 1], [1, 36, -30], [-30, 24, 7], [7, 32, -14], [-14, 24, 15], [15, 36, -2], [-2, 36, 15], [15, 24, -14], [-14, 32, 7]] (m)c.f.e: [-1, 36, -1, 4, -2, 2, -18, 2, -2, 4] 10 cycle: [[-7, 24, 30], [30, 36, -1], [-1, 36, 30], [30, 24, -7], [-7, 32, 14], [14, 24, -15], [-15, 36, 2], [2, 36, -15], [-15, 24, 14], [14, 32, -7]] (m)c.f.e: [1, -36, 1, -4, 2, -2, 18, -2, 2, -4] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 355 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 3, 3, 1, 6, 1, 3, 3, 5, 1, 36] Pell solution, x^2- 355 y^2= 1 : [954809, 50676] ---------- 16 cycle: [[15, 10, -22], [-22, 34, 3], [3, 32, -33], [-33, 34, 2], [2, 34, -33], [-33, 32, 3], [3, 34, -22], [-22, 10, 15], [15, 20, -17], [-17, 14, 18], [18, 22, -13], [-13, 30, 10], [10, 30, -13], [-13, 22, 18], [18, 14, -17], [-17, 20, 15]] (m)c.f.e: [-1, 11, -1, 17, -1, 11, -1, 1, -1, 1, -2, 3, -2, 1, -1, 1] 16 cycle: [[-15, 10, 22], [22, 34, -3], [-3, 32, 33], [33, 34, -2], [-2, 34, 33], [33, 32, -3], [-3, 34, 22], [22, 10, -15], [-15, 20, 17], [17, 14, -18], [-18, 22, 13], [13, 30, -10], [-10, 30, 13], [13, 22, -18], [-18, 14, 17], [17, 20, -15]] (m)c.f.e: [1, -11, 1, -17, 1, -11, 1, -1, 1, -1, 2, -3, 2, -1, 1, -1] 12 cycle: [[9, 22, -26], [-26, 30, 5], [5, 30, -26], [-26, 22, 9], [9, 32, -11], [-11, 34, 6], [6, 26, -31], [-31, 36, 1], [1, 36, -31], [-31, 26, 6], [6, 34, -11], [-11, 32, 9]] (m)c.f.e: [-1, 6, -1, 3, -3, 5, -1, 36, -1, 5, -3, 3] 12 cycle: [[-9, 22, 26], [26, 30, -5], [-5, 30, 26], [26, 22, -9], [-9, 32, 11], [11, 34, -6], [-6, 26, 31], [31, 36, -1], [-1, 36, 31], [31, 26, -6], [-6, 34, 11], [11, 32, -9]] (m)c.f.e: [1, -6, 1, -3, 3, -5, 1, -36, 1, -5, 3, -3] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 357 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 2, 8, 1, 36] Pell solution, x^2- 357 y^2= 1 : [3401, 180] ---------- 4 cycle: [[7, 7, -11], [-11, 15, 3], [3, 15, -11], [-11, 7, 7]] (m)c.f.e: [-1, 5, -1, 1] 4 cycle: [[-7, 7, 11], [11, 15, -3], [-3, 15, 11], [11, 7, -7]] (m)c.f.e: [1, -5, 1, -1] 2 cycle: [[1, 17, -17], [-17, 17, 1]] (m)c.f.e: [-1, 17] 2 cycle: [[-1, 17, 17], [17, 17, -1]] (m)c.f.e: [1, -17] number of reduced forms: 12 partition: [2, 2, 4, 4] ============================== d: 358 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 11, 1, 1, 1, 3, 1, 1, 4, 1, 5, 2, 18, 2, 5, 1, 4, 1, 1, 3, 1, 1, 1, 11, 1, 36] Pell solution, x^2- 358 y^2= 1 : [176579805797, 9332532726] ---------- 26 cycle: [[18, 8, -19], [-19, 30, 7], [7, 26, -27], [-27, 28, 6], [6, 32, -17], [-17, 36, 2], [2, 36, -17], [-17, 32, 6], [6, 28, -27], [-27, 26, 7], [7, 30, -19], [-19, 8, 18], [18, 28, -9], [-9, 26, 21], [21, 16, -14], [-14, 12, 23], [23, 34, -3], [-3, 32, 34], [34, 36, -1], [-1, 36, 34], [34, 32, -3], [-3, 34, 23], [23, 12, -14], [-14, 16, 21], [21, 26, -9], [-9, 28, 18]] (m)c.f.e: [-1, 4, -1, 5, -2, 18, -2, 5, -1, 4, -1, 1, -3, 1, -1, 1, -11, 1, -36, 1, -11, 1, -1, 1, -3, 1] 26 cycle: [[-18, 8, 19], [19, 30, -7], [-7, 26, 27], [27, 28, -6], [-6, 32, 17], [17, 36, -2], [-2, 36, 17], [17, 32, -6], [-6, 28, 27], [27, 26, -7], [-7, 30, 19], [19, 8, -18], [-18, 28, 9], [9, 26, -21], [-21, 16, 14], [14, 12, -23], [-23, 34, 3], [3, 32, -34], [-34, 36, 1], [1, 36, -34], [-34, 32, 3], [3, 34, -23], [-23, 12, 14], [14, 16, -21], [-21, 26, 9], [9, 28, -18]] (m)c.f.e: [1, -4, 1, -5, 2, -18, 2, -5, 1, -4, 1, -1, 3, -1, 1, -1, 11, -1, 36, -1, 11, -1, 1, -1, 3, -1] number of reduced forms: 52 partition: [26, 26] ============================== d: 359 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 17, 1, 36] Pell solution, x^2- 359 y^2= 1 : [360, 19] ---------- 6 cycle: [[17, 12, -19], [-19, 26, 10], [10, 34, -7], [-7, 36, 5], [5, 34, -14], [-14, 22, 17]] (m)c.f.e: [-1, 3, -5, 7, -2, 1] 6 cycle: [[-17, 12, 19], [19, 26, -10], [-10, 34, 7], [7, 36, -5], [-5, 34, 14], [14, 22, -17]] (m)c.f.e: [1, -3, 5, -7, 2, -1] 6 cycle: [[19, 12, -17], [-17, 22, 14], [14, 34, -5], [-5, 36, 7], [7, 34, -10], [-10, 26, 19]] (m)c.f.e: [-1, 2, -7, 5, -3, 1] 6 cycle: [[-19, 12, 17], [17, 22, -14], [-14, 34, 5], [5, 36, -7], [-7, 34, 10], [10, 26, -19]] (m)c.f.e: [1, -2, 7, -5, 3, -1] 4 cycle: [[2, 34, -35], [-35, 36, 1], [1, 36, -35], [-35, 34, 2]] (m)c.f.e: [-1, 36, -1, 17] 4 cycle: [[-2, 34, 35], [35, 36, -1], [-1, 36, 35], [35, 34, -2]] (m)c.f.e: [1, -36, 1, -17] number of reduced forms: 32 partition: [4, 4, 6, 6, 6, 6] ============================== d: 362 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [38] Pell solution, x^2- 362 y^2= -1 : [19, 1] ---------- 6 cycle: [[19, 2, -19], [-19, 36, 2], [2, 36, -19], [-19, 2, 19], [19, 36, -2], [-2, 36, 19]] (m)c.f.e: [-1, 18, -1, 1, -18, 1] 2 cycle: [[1, 38, -1], [-1, 38, 1]] (m)c.f.e: [-38, 38] number of reduced forms: 8 partition: [2, 6] ============================== d: 365 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [9, 1, 1, 9, 38] Pell solution, x^2- 365 y^2= -1 : [3458, 181] ---------- 6 cycle: [[7, 13, -7], [-7, 15, 5], [5, 15, -7], [-7, 13, 7], [7, 15, -5], [-5, 15, 7]] (m)c.f.e: [-2, 3, -2, 2, -3, 2] 2 cycle: [[1, 19, -1], [-1, 19, 1]] (m)c.f.e: [-19, 19] number of reduced forms: 8 partition: [2, 6] ============================== d: 366 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 1, 1, 1, 2, 12, 2, 1, 1, 1, 7, 38] Pell solution, x^2- 366 y^2= 1 : [907925, 47458] ---------- 12 cycle: [[17, 6, -21], [-21, 36, 2], [2, 36, -21], [-21, 6, 17], [17, 28, -10], [-10, 32, 11], [11, 34, -7], [-7, 36, 6], [6, 36, -7], [-7, 34, 11], [11, 32, -10], [-10, 28, 17]] (m)c.f.e: [-1, 18, -1, 1, -3, 3, -5, 6, -5, 3, -3, 1] 12 cycle: [[-17, 6, 21], [21, 36, -2], [-2, 36, 21], [21, 6, -17], [-17, 28, 10], [10, 32, -11], [-11, 34, 7], [7, 36, -6], [-6, 36, 7], [7, 34, -11], [-11, 32, 10], [10, 28, -17]] (m)c.f.e: [1, -18, 1, -1, 3, -3, 5, -6, 5, -3, 3, -1] 12 cycle: [[15, 12, -22], [-22, 32, 5], [5, 38, -1], [-1, 38, 5], [5, 32, -22], [-22, 12, 15], [15, 18, -19], [-19, 20, 14], [14, 36, -3], [-3, 36, 14], [14, 20, -19], [-19, 18, 15]] (m)c.f.e: [-1, 7, -38, 7, -1, 1, -1, 2, -12, 2, -1, 1] 12 cycle: [[-15, 12, 22], [22, 32, -5], [-5, 38, 1], [1, 38, -5], [-5, 32, 22], [22, 12, -15], [-15, 18, 19], [19, 20, -14], [-14, 36, 3], [3, 36, -14], [-14, 20, 19], [19, 18, -15]] (m)c.f.e: [1, -7, 38, -7, 1, -1, 1, -2, 12, -2, 1, -1] number of reduced forms: 48 partition: [12, 12, 12, 12] ============================== d: 367 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 2, 1, 3, 1, 1, 2, 1, 12, 19, 12, 1, 2, 1, 1, 3, 1, 2, 6, 38] Pell solution, x^2- 367 y^2= 1 : [19019995568, 992835687] ---------- 20 cycle: [[18, 10, -19], [-19, 28, 9], [9, 26, -22], [-22, 18, 13], [13, 34, -6], [-6, 38, 1], [1, 38, -6], [-6, 34, 13], [13, 18, -22], [-22, 26, 9], [9, 28, -19], [-19, 10, 18], [18, 26, -11], [-11, 18, 26], [26, 34, -3], [-3, 38, 2], [2, 38, -3], [-3, 34, 26], [26, 18, -11], [-11, 26, 18]] (m)c.f.e: [-1, 3, -1, 2, -6, 38, -6, 2, -1, 3, -1, 1, -2, 1, -12, 19, -12, 1, -2, 1] 20 cycle: [[-18, 10, 19], [19, 28, -9], [-9, 26, 22], [22, 18, -13], [-13, 34, 6], [6, 38, -1], [-1, 38, 6], [6, 34, -13], [-13, 18, 22], [22, 26, -9], [-9, 28, 19], [19, 10, -18], [-18, 26, 11], [11, 18, -26], [-26, 34, 3], [3, 38, -2], [-2, 38, 3], [3, 34, -26], [-26, 18, 11], [11, 26, -18]] (m)c.f.e: [1, -3, 1, -2, 6, -38, 6, -2, 1, -3, 1, -1, 2, -1, 12, -19, 12, -1, 2, -1] number of reduced forms: 40 partition: [20, 20] ============================== d: 370 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 4, 38] Pell solution, x^2- 370 y^2= -1 : [327, 17] ---------- 14 cycle: [[19, 6, -19], [-19, 32, 6], [6, 28, -29], [-29, 30, 5], [5, 30, -29], [-29, 28, 6], [6, 32, -19], [-19, 6, 19], [19, 32, -6], [-6, 28, 29], [29, 30, -5], [-5, 30, 29], [29, 28, -6], [-6, 32, 19]] (m)c.f.e: [-1, 5, -1, 6, -1, 5, -1, 1, -5, 1, -6, 1, -5, 1] 18 cycle: [[15, 10, -23], [-23, 36, 2], [2, 36, -23], [-23, 10, 15], [15, 20, -18], [-18, 16, 17], [17, 18, -17], [-17, 16, 18], [18, 20, -15], [-15, 10, 23], [23, 36, -2], [-2, 36, 23], [23, 10, -15], [-15, 20, 18], [18, 16, -17], [-17, 18, 17], [17, 16, -18], [-18, 20, 15]] (m)c.f.e: [-1, 18, -1, 1, -1, 1, -1, 1, -1, 1, -18, 1, -1, 1, -1, 1, -1, 1] 10 cycle: [[10, 20, -27], [-27, 34, 3], [3, 38, -3], [-3, 34, 27], [27, 20, -10], [-10, 20, 27], [27, 34, -3], [-3, 38, 3], [3, 34, -27], [-27, 20, 10]] (m)c.f.e: [-1, 12, -12, 1, -2, 1, -12, 12, -1, 2] 6 cycle: [[9, 34, -9], [-9, 38, 1], [1, 38, -9], [-9, 34, 9], [9, 38, -1], [-1, 38, 9]] (m)c.f.e: [-4, 38, -4, 4, -38, 4] number of reduced forms: 48 partition: [6, 10, 14, 18] ============================== d: 371 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 4, 1, 3, 38] Pell solution, x^2- 371 y^2= 1 : [1695, 88] ---------- 6 cycle: [[14, 14, -23], [-23, 32, 5], [5, 38, -2], [-2, 38, 5], [5, 32, -23], [-23, 14, 14]] (m)c.f.e: [-1, 7, -19, 7, -1, 1] 6 cycle: [[-14, 14, 23], [23, 32, -5], [-5, 38, 2], [2, 38, -5], [-5, 32, 23], [23, 14, -14]] (m)c.f.e: [1, -7, 19, -7, 1, -1] 6 cycle: [[10, 22, -25], [-25, 28, 7], [7, 28, -25], [-25, 22, 10], [10, 38, -1], [-1, 38, 10]] (m)c.f.e: [-1, 4, -1, 3, -38, 3] 6 cycle: [[-10, 22, 25], [25, 28, -7], [-7, 28, 25], [25, 22, -10], [-10, 38, 1], [1, 38, -10]] (m)c.f.e: [1, -4, 1, -3, 38, -3] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 373 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 5, 5, 3, 38] Pell solution, x^2- 373 y^2= -1 : [5118, 265] ---------- 14 cycle: [[9, 7, -9], [-9, 11, 7], [7, 17, -3], [-3, 19, 1], [1, 19, -3], [-3, 17, 7], [7, 11, -9], [-9, 7, 9], [9, 11, -7], [-7, 17, 3], [3, 19, -1], [-1, 19, 3], [3, 17, -7], [-7, 11, 9]] (m)c.f.e: [-1, 2, -6, 19, -6, 2, -1, 1, -2, 6, -19, 6, -2, 1] number of reduced forms: 14 partition: [14] ============================== d: 374 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 18, 1, 2, 38] Pell solution, x^2- 374 y^2= 1 : [3365, 174] ---------- 6 cycle: [[13, 14, -25], [-25, 36, 2], [2, 36, -25], [-25, 14, 13], [13, 38, -1], [-1, 38, 13]] (m)c.f.e: [-1, 18, -1, 2, -38, 2] 6 cycle: [[-13, 14, 25], [25, 36, -2], [-2, 36, 25], [25, 14, -13], [-13, 38, 1], [1, 38, -13]] (m)c.f.e: [1, -18, 1, -2, 38, -2] 8 cycle: [[11, 22, -23], [-23, 24, 10], [10, 36, -5], [-5, 34, 17], [17, 34, -5], [-5, 36, 10], [10, 24, -23], [-23, 22, 11]] (m)c.f.e: [-1, 3, -7, 2, -7, 3, -1, 2] 8 cycle: [[-11, 22, 23], [23, 24, -10], [-10, 36, 5], [5, 34, -17], [-17, 34, 5], [5, 36, -10], [-10, 24, 23], [23, 22, -11]] (m)c.f.e: [1, -3, 7, -2, 7, -3, 1, -2] number of reduced forms: 28 partition: [6, 6, 8, 8] ============================== d: 377 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 2, 38] Pell solution, x^2- 377 y^2= 1 : [233, 12] ---------- 6 cycle: [[8, 5, -11], [-11, 17, 2], [2, 19, -2], [-2, 17, 11], [11, 5, -8], [-8, 11, 8]] (m)c.f.e: [-1, 9, -9, 1, -1, 1] 6 cycle: [[-8, 5, 11], [11, 17, -2], [-2, 19, 2], [2, 17, -11], [-11, 5, 8], [8, 11, -8]] (m)c.f.e: [1, -9, 9, -1, 1, -1] 4 cycle: [[4, 13, -13], [-13, 13, 4], [4, 19, -1], [-1, 19, 4]] (m)c.f.e: [-1, 4, -19, 4] 4 cycle: [[-4, 13, 13], [13, 13, -4], [-4, 19, 1], [1, 19, -4]] (m)c.f.e: [1, -4, 19, -4] number of reduced forms: 20 partition: [4, 4, 6, 6] ============================== d: 379 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 7, 3, 2, 2, 6, 12, 1, 4, 1, 1, 1, 3, 4, 19, 4, 3, 1, 1, 1, 4, 1, 12, 6, 2, 2, 3, 7, 2, 38] Pell solution, x^2- 379 y^2= 1 : [12941197220540690, 664744650125541] ---------- 30 cycle: [[15, 14, -22], [-22, 30, 7], [7, 26, -30], [-30, 34, 3], [3, 38, -6], [-6, 34, 15], [15, 26, -14], [-14, 30, 11], [11, 36, -5], [-5, 34, 18], [18, 38, -1], [-1, 38, 18], [18, 34, -5], [-5, 36, 11], [11, 30, -14], [-14, 26, 15], [15, 34, -6], [-6, 38, 3], [3, 34, -30], [-30, 26, 7], [7, 30, -22], [-22, 14, 15], [15, 16, -21], [-21, 26, 10], [10, 34, -9], [-9, 38, 2], [2, 38, -9], [-9, 34, 10], [10, 26, -21], [-21, 16, 15]] (m)c.f.e: [-1, 4, -1, 12, -6, 2, -2, 3, -7, 2, -38, 2, -7, 3, -2, 2, -6, 12, -1, 4, -1, 1, -1, 3, -4, 19, -4, 3, -1, 1] 30 cycle: [[-15, 14, 22], [22, 30, -7], [-7, 26, 30], [30, 34, -3], [-3, 38, 6], [6, 34, -15], [-15, 26, 14], [14, 30, -11], [-11, 36, 5], [5, 34, -18], [-18, 38, 1], [1, 38, -18], [-18, 34, 5], [5, 36, -11], [-11, 30, 14], [14, 26, -15], [-15, 34, 6], [6, 38, -3], [-3, 34, 30], [30, 26, -7], [-7, 30, 22], [22, 14, -15], [-15, 16, 21], [21, 26, -10], [-10, 34, 9], [9, 38, -2], [-2, 38, 9], [9, 34, -10], [-10, 26, 21], [21, 16, -15]] (m)c.f.e: [1, -4, 1, -12, 6, -2, 2, -3, 7, -2, 38, -2, 7, -3, 2, -2, 6, -12, 1, -4, 1, -1, 1, -3, 4, -19, 4, -3, 1, -1] number of reduced forms: 60 partition: [30, 30] ============================== d: 381 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 12, 1, 1, 38] Pell solution, x^2- 381 y^2= 1 : [1015, 52] ---------- 6 cycle: [[5, 11, -13], [-13, 15, 3], [3, 15, -13], [-13, 11, 5], [5, 19, -1], [-1, 19, 5]] (m)c.f.e: [-1, 5, -1, 3, -19, 3] 6 cycle: [[-5, 11, 13], [13, 15, -3], [-3, 15, 13], [13, 11, -5], [-5, 19, 1], [1, 19, -5]] (m)c.f.e: [1, -5, 1, -3, 19, -3] number of reduced forms: 12 partition: [6, 6] ============================== d: 382 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 5, 12, 1, 5, 1, 1, 2, 3, 1, 18, 1, 3, 2, 1, 1, 5, 1, 12, 5, 1, 1, 38] Pell solution, x^2- 382 y^2= 1 : [164998439999, 8442054600] ---------- 24 cycle: [[18, 4, -21], [-21, 38, 1], [1, 38, -21], [-21, 4, 18], [18, 32, -7], [-7, 38, 3], [3, 34, -31], [-31, 28, 6], [6, 32, -21], [-21, 10, 17], [17, 24, -14], [-14, 32, 9], [9, 22, -29], [-29, 36, 2], [2, 36, -29], [-29, 22, 9], [9, 32, -14], [-14, 24, 17], [17, 10, -21], [-21, 32, 6], [6, 28, -31], [-31, 34, 3], [3, 38, -7], [-7, 32, 18]] (m)c.f.e: [-1, 38, -1, 1, -5, 12, -1, 5, -1, 1, -2, 3, -1, 18, -1, 3, -2, 1, -1, 5, -1, 12, -5, 1] 24 cycle: [[-18, 4, 21], [21, 38, -1], [-1, 38, 21], [21, 4, -18], [-18, 32, 7], [7, 38, -3], [-3, 34, 31], [31, 28, -6], [-6, 32, 21], [21, 10, -17], [-17, 24, 14], [14, 32, -9], [-9, 22, 29], [29, 36, -2], [-2, 36, 29], [29, 22, -9], [-9, 32, 14], [14, 24, -17], [-17, 10, 21], [21, 32, -6], [-6, 28, 31], [31, 34, -3], [-3, 38, 7], [7, 32, -18]] (m)c.f.e: [1, -38, 1, -1, 5, -12, 1, -5, 1, -1, 2, -3, 1, -18, 1, -3, 2, -1, 1, -5, 1, -12, 5, -1] number of reduced forms: 48 partition: [24, 24] ============================== d: 383 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 19, 3, 1, 1, 38] Pell solution, x^2- 383 y^2= 1 : [18768, 959] ---------- 8 cycle: [[17, 6, -22], [-22, 38, 1], [1, 38, -22], [-22, 6, 17], [17, 28, -11], [-11, 38, 2], [2, 38, -11], [-11, 28, 17]] (m)c.f.e: [-1, 38, -1, 1, -3, 19, -3, 1] 8 cycle: [[-17, 6, 22], [22, 38, -1], [-1, 38, 22], [22, 6, -17], [-17, 28, 11], [11, 38, -2], [-2, 38, 11], [11, 28, -17]] (m)c.f.e: [1, -38, 1, -1, 3, -19, 3, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 385 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 1, 1, 38] Pell solution, x^2- 385 y^2= 1 : [95831, 4884] ---------- 12 cycle: [[9, 5, -10], [-10, 15, 4], [4, 17, -6], [-6, 19, 1], [1, 19, -6], [-6, 17, 4], [4, 15, -10], [-10, 5, 9], [9, 13, -6], [-6, 11, 11], [11, 11, -6], [-6, 13, 9]] (m)c.f.e: [-1, 4, -3, 19, -3, 4, -1, 1, -2, 1, -2, 1] 12 cycle: [[-9, 5, 10], [10, 15, -4], [-4, 17, 6], [6, 19, -1], [-1, 19, 6], [6, 17, -4], [-4, 15, 10], [10, 5, -9], [-9, 13, 6], [6, 11, -11], [-11, 11, 6], [6, 13, -9]] (m)c.f.e: [1, -4, 3, -19, 3, -4, 1, -1, 2, -1, 2, -1] 10 cycle: [[7, 7, -12], [-12, 17, 2], [2, 19, -3], [-3, 17, 8], [8, 15, -5], [-5, 15, 8], [8, 17, -3], [-3, 19, 2], [2, 17, -12], [-12, 7, 7]] (m)c.f.e: [-1, 9, -6, 2, -3, 2, -6, 9, -1, 1] 10 cycle: [[-7, 7, 12], [12, 17, -2], [-2, 19, 3], [3, 17, -8], [-8, 15, 5], [5, 15, -8], [-8, 17, 3], [3, 19, -2], [-2, 17, 12], [12, 7, -7]] (m)c.f.e: [1, -9, 6, -2, 3, -2, 6, -9, 1, -1] number of reduced forms: 44 partition: [10, 10, 12, 12] ============================== d: 386 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4, 1, 18, 1, 4, 1, 1, 1, 38] Pell solution, x^2- 386 y^2= 1 : [111555, 5678] ---------- 14 cycle: [[19, 10, -19], [-19, 28, 10], [10, 32, -13], [-13, 20, 22], [22, 24, -11], [-11, 20, 26], [26, 32, -5], [-5, 38, 5], [5, 32, -26], [-26, 20, 11], [11, 24, -22], [-22, 20, 13], [13, 32, -10], [-10, 28, 19]] (m)c.f.e: [-1, 3, -2, 1, -2, 1, -7, 7, -1, 2, -1, 2, -3, 1] 14 cycle: [[-19, 10, 19], [19, 28, -10], [-10, 32, 13], [13, 20, -22], [-22, 24, 11], [11, 20, -26], [-26, 32, 5], [5, 38, -5], [-5, 32, 26], [26, 20, -11], [-11, 24, 22], [22, 20, -13], [-13, 32, 10], [10, 28, -19]] (m)c.f.e: [1, -3, 2, -1, 2, -1, 7, -7, 1, -2, 1, -2, 3, -1] 12 cycle: [[14, 12, -25], [-25, 38, 1], [1, 38, -25], [-25, 12, 14], [14, 16, -23], [-23, 30, 7], [7, 26, -31], [-31, 36, 2], [2, 36, -31], [-31, 26, 7], [7, 30, -23], [-23, 16, 14]] (m)c.f.e: [-1, 38, -1, 1, -1, 4, -1, 18, -1, 4, -1, 1] 12 cycle: [[-14, 12, 25], [25, 38, -1], [-1, 38, 25], [25, 12, -14], [-14, 16, 23], [23, 30, -7], [-7, 26, 31], [31, 36, -2], [-2, 36, 31], [31, 26, -7], [-7, 30, 23], [23, 16, -14]] (m)c.f.e: [1, -38, 1, -1, 1, -4, 1, -18, 1, -4, 1, -1] number of reduced forms: 52 partition: [12, 12, 14, 14] ============================== d: 389 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 1, 1, 2, 1, 38] Pell solution, x^2- 389 y^2= -1 : [1282, 65] ---------- 14 cycle: [[7, 9, -11], [-11, 13, 5], [5, 17, -5], [-5, 13, 11], [11, 9, -7], [-7, 19, 1], [1, 19, -7], [-7, 9, 11], [11, 13, -5], [-5, 17, 5], [5, 13, -11], [-11, 9, 7], [7, 19, -1], [-1, 19, 7]] (m)c.f.e: [-1, 3, -3, 1, -2, 19, -2, 1, -3, 3, -1, 2, -19, 2] number of reduced forms: 14 partition: [14] ============================== d: 390 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 38] Pell solution, x^2- 390 y^2= 1 : [79, 4] ---------- 6 cycle: [[17, 8, -22], [-22, 36, 3], [3, 36, -22], [-22, 8, 17], [17, 26, -13], [-13, 26, 17]] (m)c.f.e: [-1, 12, -1, 1, -2, 1] 6 cycle: [[-17, 8, 22], [22, 36, -3], [-3, 36, 22], [22, 8, -17], [-17, 26, 13], [13, 26, -17]] (m)c.f.e: [1, -12, 1, -1, 2, -1] 4 cycle: [[10, 20, -29], [-29, 38, 1], [1, 38, -29], [-29, 20, 10]] (m)c.f.e: [-1, 38, -1, 2] 4 cycle: [[-10, 20, 29], [29, 38, -1], [-1, 38, 29], [29, 20, -10]] (m)c.f.e: [1, -38, 1, -2] 4 cycle: [[5, 30, -33], [-33, 36, 2], [2, 36, -33], [-33, 30, 5]] (m)c.f.e: [-1, 18, -1, 6] 4 cycle: [[-5, 30, 33], [33, 36, -2], [-2, 36, 33], [33, 30, -5]] (m)c.f.e: [1, -18, 1, -6] 4 cycle: [[11, 30, -15], [-15, 30, 11], [11, 36, -6], [-6, 36, 11]] (m)c.f.e: [-2, 3, -6, 3] 4 cycle: [[-11, 30, 15], [15, 30, -11], [-11, 36, 6], [6, 36, -11]] (m)c.f.e: [2, -3, 6, -3] number of reduced forms: 36 partition: [4, 4, 4, 4, 4, 4, 6, 6] ============================== d: 391 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 2, 2, 1, 1, 2, 19, 2, 1, 1, 2, 2, 3, 1, 38] Pell solution, x^2- 391 y^2= 1 : [7338680, 371133] ---------- 16 cycle: [[18, 14, -19], [-19, 24, 13], [13, 28, -15], [-15, 32, 9], [9, 22, -30], [-30, 38, 1], [1, 38, -30], [-30, 22, 9], [9, 32, -15], [-15, 28, 13], [13, 24, -19], [-19, 14, 18], [18, 22, -15], [-15, 38, 2], [2, 38, -15], [-15, 22, 18]] (m)c.f.e: [-1, 2, -2, 3, -1, 38, -1, 3, -2, 2, -1, 1, -2, 19, -2, 1] 16 cycle: [[-18, 14, 19], [19, 24, -13], [-13, 28, 15], [15, 32, -9], [-9, 22, 30], [30, 38, -1], [-1, 38, 30], [30, 22, -9], [-9, 32, 15], [15, 28, -13], [-13, 24, 19], [19, 14, -18], [-18, 22, 15], [15, 38, -2], [-2, 38, 15], [15, 22, -18]] (m)c.f.e: [1, -2, 2, -3, 1, -38, 1, -3, 2, -2, 1, -1, 2, -19, 2, -1] 12 cycle: [[10, 22, -27], [-27, 32, 5], [5, 38, -6], [-6, 34, 17], [17, 34, -6], [-6, 38, 5], [5, 32, -27], [-27, 22, 10], [10, 38, -3], [-3, 34, 34], [34, 34, -3], [-3, 38, 10]] (m)c.f.e: [-1, 7, -6, 2, -6, 7, -1, 3, -12, 1, -12, 3] 12 cycle: [[-10, 22, 27], [27, 32, -5], [-5, 38, 6], [6, 34, -17], [-17, 34, 6], [6, 38, -5], [-5, 32, 27], [27, 22, -10], [-10, 38, 3], [3, 34, -34], [-34, 34, 3], [3, 38, -10]] (m)c.f.e: [1, -7, 6, -2, 6, -7, 1, -3, 12, -1, 12, -3] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 393 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 2, 4, 1, 1, 1, 1, 12, 1, 1, 1, 1, 4, 2, 1, 4, 1, 38] Pell solution, x^2- 393 y^2= 1 : [46437143, 2342444] ---------- 16 cycle: [[6, 9, -13], [-13, 17, 2], [2, 19, -4], [-4, 13, 14], [14, 15, -3], [-3, 15, 14], [14, 13, -4], [-4, 19, 2], [2, 17, -13], [-13, 9, 6], [6, 15, -7], [-7, 13, 8], [8, 19, -1], [-1, 19, 8], [8, 13, -7], [-7, 15, 6]] (m)c.f.e: [-1, 9, -4, 1, -5, 1, -4, 9, -1, 2, -2, 2, -19, 2, -2, 2] 16 cycle: [[-6, 9, 13], [13, 17, -2], [-2, 19, 4], [4, 13, -14], [-14, 15, 3], [3, 15, -14], [-14, 13, 4], [4, 19, -2], [-2, 17, 13], [13, 9, -6], [-6, 15, 7], [7, 13, -8], [-8, 19, 1], [1, 19, -8], [-8, 13, 7], [7, 15, -6]] (m)c.f.e: [1, -9, 4, -1, 5, -1, 4, -9, 1, -2, 2, -2, 19, -2, 2, -2] number of reduced forms: 32 partition: [16, 16] ============================== d: 394 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 1, 1, 1, 3, 1, 3, 5, 2, 2, 5, 3, 1, 3, 1, 1, 1, 5, 1, 38] Pell solution, x^2- 394 y^2= -1 : [395023035, 19900973] ---------- 38 cycle: [[18, 8, -21], [-21, 34, 5], [5, 36, -14], [-14, 20, 21], [21, 22, -13], [-13, 30, 13], [13, 22, -21], [-21, 20, 14], [14, 36, -5], [-5, 34, 21], [21, 8, -18], [-18, 28, 11], [11, 38, -3], [-3, 34, 35], [35, 36, -2], [-2, 36, 35], [35, 34, -3], [-3, 38, 11], [11, 28, -18], [-18, 8, 21], [21, 34, -5], [-5, 36, 14], [14, 20, -21], [-21, 22, 13], [13, 30, -13], [-13, 22, 21], [21, 20, -14], [-14, 36, 5], [5, 34, -21], [-21, 8, 18], [18, 28, -11], [-11, 38, 3], [3, 34, -35], [-35, 36, 2], [2, 36, -35], [-35, 34, 3], [3, 38, -11], [-11, 28, 18]] (m)c.f.e: [-1, 7, -2, 1, -2, 2, -1, 2, -7, 1, -1, 3, -12, 1, -18, 1, -12, 3, -1, 1, -7, 2, -1, 2, -2, 1, -2, 7, -1, 1, -3, 12, -1, 18, -1, 12, -3, 1] 42 cycle: [[15, 14, -23], [-23, 32, 6], [6, 28, -33], [-33, 38, 1], [1, 38, -33], [-33, 28, 6], [6, 32, -23], [-23, 14, 15], [15, 16, -22], [-22, 28, 9], [9, 26, -25], [-25, 24, 10], [10, 36, -7], [-7, 34, 15], [15, 26, -15], [-15, 34, 7], [7, 36, -10], [-10, 24, 25], [25, 26, -9], [-9, 28, 22], [22, 16, -15], [-15, 14, 23], [23, 32, -6], [-6, 28, 33], [33, 38, -1], [-1, 38, 33], [33, 28, -6], [-6, 32, 23], [23, 14, -15], [-15, 16, 22], [22, 28, -9], [-9, 26, 25], [25, 24, -10], [-10, 36, 7], [7, 34, -15], [-15, 26, 15], [15, 34, -7], [-7, 36, 10], [10, 24, -25], [-25, 26, 9], [9, 28, -22], [-22, 16, 15]] (m)c.f.e: [-1, 5, -1, 38, -1, 5, -1, 1, -1, 3, -1, 3, -5, 2, -2, 5, -3, 1, -3, 1, -1, 1, -5, 1, -38, 1, -5, 1, -1, 1, -3, 1, -3, 5, -2, 2, -5, 3, -1, 3, -1, 1] number of reduced forms: 80 partition: [38, 42] ============================== d: 395 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 38] Pell solution, x^2- 395 y^2= 1 : [159, 8] ---------- 4 cycle: [[5, 30, -34], [-34, 38, 1], [1, 38, -34], [-34, 30, 5]] (m)c.f.e: [-1, 38, -1, 6] 4 cycle: [[-5, 30, 34], [34, 38, -1], [-1, 38, 34], [34, 30, -5]] (m)c.f.e: [1, -38, 1, -6] 4 cycle: [[10, 30, -17], [-17, 38, 2], [2, 38, -17], [-17, 30, 10]] (m)c.f.e: [-2, 19, -2, 3] 4 cycle: [[-10, 30, 17], [17, 38, -2], [-2, 38, 17], [17, 30, -10]] (m)c.f.e: [2, -19, 2, -3] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 397 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 12, 3, 4, 9, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 9, 4, 3, 12, 1, 38] Pell solution, x^2- 397 y^2= -1 : [20478302982, 1027776565] ---------- 10 cycle: [[3, 17, -9], [-9, 19, 1], [1, 19, -9], [-9, 17, 3], [3, 19, -3], [-3, 17, 9], [9, 19, -1], [-1, 19, 9], [9, 17, -3], [-3, 19, 3]] (m)c.f.e: [-2, 19, -2, 6, -6, 2, -19, 2, -6, 6] number of reduced forms: 10 partition: [10] ============================== d: 398 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 18, 1, 38] Pell solution, x^2- 398 y^2= 1 : [399, 20] ---------- 4 cycle: [[2, 36, -37], [-37, 38, 1], [1, 38, -37], [-37, 36, 2]] (m)c.f.e: [-1, 38, -1, 18] 4 cycle: [[-2, 36, 37], [37, 38, -1], [-1, 38, 37], [37, 36, -2]] (m)c.f.e: [1, -38, 1, -18] number of reduced forms: 8 partition: [4, 4] ============================== d: 399 number of cycles (narrow class number): 16 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 38] Pell solution, x^2- 399 y^2= 1 : [20, 1] ---------- 4 cycle: [[17, 10, -22], [-22, 34, 5], [5, 36, -15], [-15, 24, 17]] (m)c.f.e: [-1, 7, -2, 1] 4 cycle: [[-17, 10, 22], [22, 34, -5], [-5, 36, 15], [15, 24, -17]] (m)c.f.e: [1, -7, 2, -1] 4 cycle: [[22, 10, -17], [-17, 24, 15], [15, 36, -5], [-5, 34, 22]] (m)c.f.e: [-1, 2, -7, 1] 4 cycle: [[-22, 10, 17], [17, 24, -15], [-15, 36, 5], [5, 34, -22]] (m)c.f.e: [1, -2, 7, -1] 4 cycle: [[14, 14, -25], [-25, 36, 3], [3, 36, -25], [-25, 14, 14]] (m)c.f.e: [-1, 12, -1, 1] 4 cycle: [[-14, 14, 25], [25, 36, -3], [-3, 36, 25], [25, 14, -14]] (m)c.f.e: [1, -12, 1, -1] 4 cycle: [[13, 20, -23], [-23, 26, 10], [10, 34, -11], [-11, 32, 13]] (m)c.f.e: [-1, 3, -3, 2] 4 cycle: [[-13, 20, 23], [23, 26, -10], [-10, 34, 11], [11, 32, -13]] (m)c.f.e: [1, -3, 3, -2] 4 cycle: [[23, 20, -13], [-13, 32, 11], [11, 34, -10], [-10, 26, 23]] (m)c.f.e: [-2, 3, -3, 1] 4 cycle: [[-23, 20, 13], [13, 32, -11], [-11, 34, 10], [10, 26, -23]] (m)c.f.e: [2, -3, 3, -1] 4 cycle: [[7, 28, -29], [-29, 30, 6], [6, 30, -29], [-29, 28, 7]] (m)c.f.e: [-1, 5, -1, 4] 4 cycle: [[-7, 28, 29], [29, 30, -6], [-6, 30, 29], [29, 28, -7]] (m)c.f.e: [1, -5, 1, -4] 2 cycle: [[1, 38, -38], [-38, 38, 1]] (m)c.f.e: [-1, 38] 2 cycle: [[-1, 38, 38], [38, 38, -1]] (m)c.f.e: [1, -38] 2 cycle: [[2, 38, -19], [-19, 38, 2]] (m)c.f.e: [-2, 19] 2 cycle: [[-2, 38, 19], [19, 38, -2]] (m)c.f.e: [2, -19] number of reduced forms: 56 partition: [2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4] ============================== d: 401 number of cycles (narrow class number): 5 class number: 5 c.f.e. of sqrt(d)-floor(sqrt(d)): [40] Pell solution, x^2- 401 y^2= -1 : [20, 1] ---------- 6 cycle: [[10, 1, -10], [-10, 19, 1], [1, 19, -10], [-10, 1, 10], [10, 19, -1], [-1, 19, 10]] (m)c.f.e: [-1, 19, -1, 1, -19, 1] 10 cycle: [[8, 7, -11], [-11, 15, 4], [4, 17, -7], [-7, 11, 10], [10, 9, -8], [-8, 7, 11], [11, 15, -4], [-4, 17, 7], [7, 11, -10], [-10, 9, 8]] (m)c.f.e: [-1, 4, -2, 1, -1, 1, -4, 2, -1, 1] 10 cycle: [[11, 7, -8], [-8, 9, 10], [10, 11, -7], [-7, 17, 4], [4, 15, -11], [-11, 7, 8], [8, 9, -10], [-10, 11, 7], [7, 17, -4], [-4, 15, 11]] (m)c.f.e: [-1, 1, -2, 4, -1, 1, -1, 2, -4, 1] 6 cycle: [[5, 11, -14], [-14, 17, 2], [2, 19, -5], [-5, 11, 14], [14, 17, -2], [-2, 19, 5]] (m)c.f.e: [-1, 9, -3, 1, -9, 3] 6 cycle: [[14, 11, -5], [-5, 19, 2], [2, 17, -14], [-14, 11, 5], [5, 19, -2], [-2, 17, 14]] (m)c.f.e: [-3, 9, -1, 3, -9, 1] number of reduced forms: 38 partition: [6, 6, 6, 10, 10] ============================== d: 402 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [20, 40] Pell solution, x^2- 402 y^2= 1 : [401, 20] ---------- 6 cycle: [[13, 16, -26], [-26, 36, 3], [3, 36, -26], [-26, 16, 13], [13, 36, -6], [-6, 36, 13]] (m)c.f.e: [-1, 12, -1, 2, -6, 2] 6 cycle: [[-13, 16, 26], [26, 36, -3], [-3, 36, 26], [26, 16, -13], [-13, 36, 6], [6, 36, -13]] (m)c.f.e: [1, -12, 1, -2, 6, -2] 2 cycle: [[1, 40, -2], [-2, 40, 1]] (m)c.f.e: [-20, 40] 2 cycle: [[-1, 40, 2], [2, 40, -1]] (m)c.f.e: [20, -40] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 403 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [13, 2, 1, 3, 1, 3, 1, 2, 13, 40] Pell solution, x^2- 403 y^2= 1 : [669878, 33369] ---------- 14 cycle: [[19, 4, -21], [-21, 38, 2], [2, 38, -21], [-21, 4, 19], [19, 34, -6], [-6, 38, 7], [7, 32, -21], [-21, 10, 18], [18, 26, -13], [-13, 26, 18], [18, 10, -21], [-21, 32, 7], [7, 38, -6], [-6, 34, 19]] (m)c.f.e: [-1, 19, -1, 1, -6, 5, -1, 1, -2, 1, -1, 5, -6, 1] 14 cycle: [[-19, 4, 21], [21, 38, -2], [-2, 38, 21], [21, 4, -19], [-19, 34, 6], [6, 38, -7], [-7, 32, 21], [21, 10, -18], [-18, 26, 13], [13, 26, -18], [-18, 10, 21], [21, 32, -7], [-7, 38, 6], [6, 34, -19]] (m)c.f.e: [1, -19, 1, -1, 6, -5, 1, -1, 2, -1, 1, -5, 6, -1] 10 cycle: [[14, 18, -23], [-23, 28, 9], [9, 26, -26], [-26, 26, 9], [9, 28, -23], [-23, 18, 14], [14, 38, -3], [-3, 40, 1], [1, 40, -3], [-3, 38, 14]] (m)c.f.e: [-1, 3, -1, 3, -1, 2, -13, 40, -13, 2] 10 cycle: [[-14, 18, 23], [23, 28, -9], [-9, 26, 26], [26, 26, -9], [-9, 28, 23], [23, 18, -14], [-14, 38, 3], [3, 40, -1], [-1, 40, 3], [3, 38, -14]] (m)c.f.e: [1, -3, 1, -3, 1, -2, 13, -40, 13, -2] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 406 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 1, 2, 4, 7, 1, 4, 1, 7, 4, 2, 1, 6, 40] Pell solution, x^2- 406 y^2= 1 : [59468095, 2951352] ---------- 18 cycle: [[17, 14, -21], [-21, 28, 10], [10, 32, -15], [-15, 28, 14], [14, 28, -15], [-15, 32, 10], [10, 28, -21], [-21, 14, 17], [17, 20, -18], [-18, 16, 19], [19, 22, -15], [-15, 38, 3], [3, 40, -2], [-2, 40, 3], [3, 38, -15], [-15, 22, 19], [19, 16, -18], [-18, 20, 17]] (m)c.f.e: [-1, 3, -2, 2, -2, 3, -1, 1, -1, 1, -2, 13, -20, 13, -2, 1, -1, 1] 18 cycle: [[-17, 14, 21], [21, 28, -10], [-10, 32, 15], [15, 28, -14], [-14, 28, 15], [15, 32, -10], [-10, 28, 21], [21, 14, -17], [-17, 20, 18], [18, 16, -19], [-19, 22, 15], [15, 38, -3], [-3, 40, 2], [2, 40, -3], [-3, 38, 15], [15, 22, -19], [-19, 16, 18], [18, 20, -17]] (m)c.f.e: [1, -3, 2, -2, 2, -3, 1, -1, 1, -1, 2, -13, 20, -13, 2, -1, 1, -1] 14 cycle: [[13, 18, -25], [-25, 32, 6], [6, 40, -1], [-1, 40, 6], [6, 32, -25], [-25, 18, 13], [13, 34, -9], [-9, 38, 5], [5, 32, -30], [-30, 28, 7], [7, 28, -30], [-30, 32, 5], [5, 38, -9], [-9, 34, 13]] (m)c.f.e: [-1, 6, -40, 6, -1, 2, -4, 7, -1, 4, -1, 7, -4, 2] 14 cycle: [[-13, 18, 25], [25, 32, -6], [-6, 40, 1], [1, 40, -6], [-6, 32, 25], [25, 18, -13], [-13, 34, 9], [9, 38, -5], [-5, 32, 30], [30, 28, -7], [-7, 28, 30], [30, 32, -5], [-5, 38, 9], [9, 34, -13]] (m)c.f.e: [1, -6, 40, -6, 1, -2, 4, -7, 1, -4, 1, -7, 4, -2] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 407 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 2, 1, 5, 40] Pell solution, x^2- 407 y^2= 1 : [2663, 132] ---------- 10 cycle: [[17, 8, -23], [-23, 38, 2], [2, 38, -23], [-23, 8, 17], [17, 26, -14], [-14, 30, 13], [13, 22, -22], [-22, 22, 13], [13, 30, -14], [-14, 26, 17]] (m)c.f.e: [-1, 19, -1, 1, -2, 2, -1, 2, -2, 1] 10 cycle: [[-17, 8, 23], [23, 38, -2], [-2, 38, 23], [23, 8, -17], [-17, 26, 14], [14, 30, -13], [-13, 22, 22], [22, 22, -13], [-13, 30, 14], [14, 26, -17]] (m)c.f.e: [1, -19, 1, -1, 2, -2, 1, -2, 2, -1] 6 cycle: [[11, 22, -26], [-26, 30, 7], [7, 40, -1], [-1, 40, 7], [7, 30, -26], [-26, 22, 11]] (m)c.f.e: [-1, 5, -40, 5, -1, 2] 6 cycle: [[-11, 22, 26], [26, 30, -7], [-7, 40, 1], [1, 40, -7], [-7, 30, 26], [26, 22, -11]] (m)c.f.e: [1, -5, 40, -5, 1, -2] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 409 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 2, 7, 1, 1, 1, 4, 2, 2, 13, 13, 2, 2, 4, 1, 1, 1, 7, 2, 4, 40] Pell solution, x^2- 409 y^2= -1 : [111921796968, 5534176685] ---------- 54 cycle: [[10, 3, -10], [-10, 17, 3], [3, 19, -4], [-4, 13, 15], [15, 17, -2], [-2, 19, 6], [6, 17, -5], [-5, 13, 12], [12, 11, -6], [-6, 13, 10], [10, 7, -9], [-9, 11, 8], [8, 5, -12], [-12, 19, 1], [1, 19, -12], [-12, 5, 8], [8, 11, -9], [-9, 7, 10], [10, 13, -6], [-6, 11, 12], [12, 13, -5], [-5, 17, 6], [6, 19, -2], [-2, 17, 15], [15, 13, -4], [-4, 19, 3], [3, 17, -10], [-10, 3, 10], [10, 17, -3], [-3, 19, 4], [4, 13, -15], [-15, 17, 2], [2, 19, -6], [-6, 17, 5], [5, 13, -12], [-12, 11, 6], [6, 13, -10], [-10, 7, 9], [9, 11, -8], [-8, 5, 12], [12, 19, -1], [-1, 19, 12], [12, 5, -8], [-8, 11, 9], [9, 7, -10], [-10, 13, 6], [6, 11, -12], [-12, 13, 5], [5, 17, -6], [-6, 19, 2], [2, 17, -15], [-15, 13, 4], [4, 19, -3], [-3, 17, 10]] (m)c.f.e: [-1, 6, -4, 1, -9, 3, -3, 1, -2, 1, -1, 1, -1, 19, -1, 1, -1, 1, -2, 1, -3, 3, -9, 1, -4, 6, -1, 1, -6, 4, -1, 9, -3, 3, -1, 2, -1, 1, -1, 1, -19, 1, -1, 1, -1, 2, -1, 3, -3, 9, -1, 4, -6, 1] number of reduced forms: 54 partition: [54] ============================== d: 410 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 40] Pell solution, x^2- 410 y^2= 1 : [81, 4] ---------- 6 cycle: [[17, 12, -22], [-22, 32, 7], [7, 38, -7], [-7, 32, 22], [22, 12, -17], [-17, 22, 17]] (m)c.f.e: [-1, 5, -5, 1, -1, 1] 6 cycle: [[-17, 12, 22], [22, 32, -7], [-7, 38, 7], [7, 32, -22], [-22, 12, 17], [17, 22, -17]] (m)c.f.e: [1, -5, 5, -1, 1, -1] 6 cycle: [[19, 14, -19], [-19, 24, 14], [14, 32, -11], [-11, 34, 11], [11, 32, -14], [-14, 24, 19]] (m)c.f.e: [-1, 2, -3, 3, -2, 1] 6 cycle: [[-19, 14, 19], [19, 24, -14], [-14, 32, 11], [11, 34, -11], [-11, 32, 14], [14, 24, -19]] (m)c.f.e: [1, -2, 3, -3, 2, -1] 2 cycle: [[1, 40, -10], [-10, 40, 1]] (m)c.f.e: [-4, 40] 2 cycle: [[-1, 40, 10], [10, 40, -1]] (m)c.f.e: [4, -40] 2 cycle: [[2, 40, -5], [-5, 40, 2]] (m)c.f.e: [-8, 20] 2 cycle: [[-2, 40, 5], [5, 40, -2]] (m)c.f.e: [8, -20] number of reduced forms: 32 partition: [2, 2, 2, 2, 6, 6, 6, 6] ============================== d: 411 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 1, 19, 1, 1, 1, 3, 40] Pell solution, x^2- 411 y^2= 1 : [49730, 2453] ---------- 10 cycle: [[15, 12, -25], [-25, 38, 2], [2, 38, -25], [-25, 12, 15], [15, 18, -22], [-22, 26, 11], [11, 40, -1], [-1, 40, 11], [11, 26, -22], [-22, 18, 15]] (m)c.f.e: [-1, 19, -1, 1, -1, 3, -40, 3, -1, 1] 10 cycle: [[-15, 12, 25], [25, 38, -2], [-2, 38, 25], [25, 12, -15], [-15, 18, 22], [22, 26, -11], [-11, 40, 1], [1, 40, -11], [-11, 26, 22], [22, 18, -15]] (m)c.f.e: [1, -19, 1, -1, 1, -3, 40, -3, 1, -1] 10 cycle: [[10, 22, -29], [-29, 36, 3], [3, 36, -29], [-29, 22, 10], [10, 38, -5], [-5, 32, 31], [31, 30, -6], [-6, 30, 31], [31, 32, -5], [-5, 38, 10]] (m)c.f.e: [-1, 12, -1, 3, -7, 1, -5, 1, -7, 3] 10 cycle: [[-10, 22, 29], [29, 36, -3], [-3, 36, 29], [29, 22, -10], [-10, 38, 5], [5, 32, -31], [-31, 30, 6], [6, 30, -31], [-31, 32, 5], [5, 38, -10]] (m)c.f.e: [1, -12, 1, -3, 7, -1, 5, -1, 7, -3] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 413 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 9, 1, 4, 1, 9, 3, 40] Pell solution, x^2- 413 y^2= 1 : [113399, 5580] ---------- 4 cycle: [[7, 7, -13], [-13, 19, 1], [1, 19, -13], [-13, 7, 7]] (m)c.f.e: [-1, 19, -1, 1] 4 cycle: [[-7, 7, 13], [13, 19, -1], [-1, 19, 13], [13, 7, -7]] (m)c.f.e: [1, -19, 1, -1] number of reduced forms: 8 partition: [4, 4] ============================== d: 415 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40] Pell solution, x^2- 415 y^2= 1 : [18412804, 903849] ---------- 16 cycle: [[19, 8, -21], [-21, 34, 6], [6, 38, -9], [-9, 34, 14], [14, 22, -21], [-21, 20, 15], [15, 40, -1], [-1, 40, 15], [15, 20, -21], [-21, 22, 14], [14, 34, -9], [-9, 38, 6], [6, 34, -21], [-21, 8, 19], [19, 30, -10], [-10, 30, 19]] (m)c.f.e: [-1, 6, -4, 2, -1, 2, -40, 2, -1, 2, -4, 6, -1, 1, -3, 1] 16 cycle: [[-19, 8, 21], [21, 34, -6], [-6, 38, 9], [9, 34, -14], [-14, 22, 21], [21, 20, -15], [-15, 40, 1], [1, 40, -15], [-15, 20, 21], [21, 22, -14], [-14, 34, 9], [9, 38, -6], [-6, 34, 21], [21, 8, -19], [-19, 30, 10], [10, 30, -19]] (m)c.f.e: [1, -6, 4, -2, 1, -2, 40, -2, 1, -2, 4, -6, 1, -1, 3, -1] 12 cycle: [[13, 16, -27], [-27, 38, 2], [2, 38, -27], [-27, 16, 13], [13, 36, -7], [-7, 34, 18], [18, 38, -3], [-3, 40, 5], [5, 40, -3], [-3, 38, 18], [18, 34, -7], [-7, 36, 13]] (m)c.f.e: [-1, 19, -1, 2, -5, 2, -13, 8, -13, 2, -5, 2] 12 cycle: [[-13, 16, 27], [27, 38, -2], [-2, 38, 27], [27, 16, -13], [-13, 36, 7], [7, 34, -18], [-18, 38, 3], [3, 40, -5], [-5, 40, 3], [3, 38, -18], [-18, 34, 7], [7, 36, -13]] (m)c.f.e: [1, -19, 1, -2, 5, -2, 13, -8, 13, -2, 5, -2] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 417 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 1, 1, 1, 5, 4, 1, 12, 1, 4, 5, 1, 1, 1, 2, 2, 40] Pell solution, x^2- 417 y^2= 1 : [85322647, 4178268] ---------- 18 cycle: [[6, 9, -14], [-14, 19, 1], [1, 19, -14], [-14, 9, 6], [6, 15, -8], [-8, 17, 4], [4, 15, -12], [-12, 9, 7], [7, 19, -2], [-2, 17, 16], [16, 15, -3], [-3, 15, 16], [16, 17, -2], [-2, 19, 7], [7, 9, -12], [-12, 15, 4], [4, 17, -8], [-8, 15, 6]] (m)c.f.e: [-1, 19, -1, 2, -2, 4, -1, 2, -9, 1, -5, 1, -9, 2, -1, 4, -2, 2] 18 cycle: [[-6, 9, 14], [14, 19, -1], [-1, 19, 14], [14, 9, -6], [-6, 15, 8], [8, 17, -4], [-4, 15, 12], [12, 9, -7], [-7, 19, 2], [2, 17, -16], [-16, 15, 3], [3, 15, -16], [-16, 17, 2], [2, 19, -7], [-7, 9, 12], [12, 15, -4], [-4, 17, 8], [8, 15, -6]] (m)c.f.e: [1, -19, 1, -2, 2, -4, 1, -2, 9, -1, 5, -1, 9, -2, 1, -4, 2, -2] number of reduced forms: 36 partition: [18, 18] ============================== d: 418 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4, 20, 4, 2, 40] Pell solution, x^2- 418 y^2= 1 : [33857, 1656] ---------- 8 cycle: [[11, 22, -27], [-27, 32, 6], [6, 40, -3], [-3, 38, 19], [19, 38, -3], [-3, 40, 6], [6, 32, -27], [-27, 22, 11]] (m)c.f.e: [-1, 6, -13, 2, -13, 6, -1, 2] 8 cycle: [[-11, 22, 27], [27, 32, -6], [-6, 40, 3], [3, 38, -19], [-19, 38, 3], [3, 40, -6], [-6, 32, 27], [27, 22, -11]] (m)c.f.e: [1, -6, 13, -2, 13, -6, 1, -2] 6 cycle: [[9, 32, -18], [-18, 40, 1], [1, 40, -18], [-18, 32, 9], [9, 40, -2], [-2, 40, 9]] (m)c.f.e: [-2, 40, -2, 4, -20, 4] 6 cycle: [[-9, 32, 18], [18, 40, -1], [-1, 40, 18], [18, 32, -9], [-9, 40, 2], [2, 40, -9]] (m)c.f.e: [2, -40, 2, -4, 20, -4] number of reduced forms: 28 partition: [6, 6, 8, 8] ============================== d: 419 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 7, 1, 2, 3, 1, 2, 1, 19, 1, 2, 1, 3, 2, 1, 7, 2, 40] Pell solution, x^2- 419 y^2= 1 : [270174970, 13198911] ---------- 18 cycle: [[13, 18, -26], [-26, 34, 5], [5, 36, -19], [-19, 40, 1], [1, 40, -19], [-19, 36, 5], [5, 34, -26], [-26, 18, 13], [13, 34, -10], [-10, 26, 25], [25, 24, -11], [-11, 20, 29], [29, 38, -2], [-2, 38, 29], [29, 20, -11], [-11, 24, 25], [25, 26, -10], [-10, 34, 13]] (m)c.f.e: [-1, 7, -2, 40, -2, 7, -1, 2, -3, 1, -2, 1, -19, 1, -2, 1, -3, 2] 18 cycle: [[-13, 18, 26], [26, 34, -5], [-5, 36, 19], [19, 40, -1], [-1, 40, 19], [19, 36, -5], [-5, 34, 26], [26, 18, -13], [-13, 34, 10], [10, 26, -25], [-25, 24, 11], [11, 20, -29], [-29, 38, 2], [2, 38, -29], [-29, 20, 11], [11, 24, -25], [-25, 26, 10], [10, 34, -13]] (m)c.f.e: [1, -7, 2, -40, 2, -7, 1, -2, 3, -1, 2, -1, 19, -1, 2, -1, 3, -2] number of reduced forms: 36 partition: [18, 18] ============================== d: 421 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 13, 5, 1, 3, 1, 2, 1, 1, 1, 2, 9, 1, 7, 3, 3, 2, 2, 3, 3, 7, 1, 9, 2, 1, 1, 1, 2, 1, 3, 1, 5, 13, 1, 1, 40] Pell solution, x^2- 421 y^2= -1 : [44042445696821418, 2146497463530785] ---------- 26 cycle: [[9, 5, -11], [-11, 17, 3], [3, 19, -5], [-5, 11, 15], [15, 19, -1], [-1, 19, 15], [15, 11, -5], [-5, 19, 3], [3, 17, -11], [-11, 5, 9], [9, 13, -7], [-7, 15, 7], [7, 13, -9], [-9, 5, 11], [11, 17, -3], [-3, 19, 5], [5, 11, -15], [-15, 19, 1], [1, 19, -15], [-15, 11, 5], [5, 19, -3], [-3, 17, 11], [11, 5, -9], [-9, 13, 7], [7, 15, -7], [-7, 13, 9]] (m)c.f.e: [-1, 6, -3, 1, -19, 1, -3, 6, -1, 1, -2, 2, -1, 1, -6, 3, -1, 19, -1, 3, -6, 1, -1, 2, -2, 1] number of reduced forms: 26 partition: [26] ============================== d: 422 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40] Pell solution, x^2- 422 y^2= 1 : [7022501, 341850] ---------- 14 cycle: [[19, 4, -22], [-22, 40, 1], [1, 40, -22], [-22, 4, 19], [19, 34, -7], [-7, 36, 14], [14, 20, -23], [-23, 26, 11], [11, 40, -2], [-2, 40, 11], [11, 26, -23], [-23, 20, 14], [14, 36, -7], [-7, 34, 19]] (m)c.f.e: [-1, 40, -1, 1, -5, 2, -1, 3, -20, 3, -1, 2, -5, 1] 14 cycle: [[-19, 4, 22], [22, 40, -1], [-1, 40, 22], [22, 4, -19], [-19, 34, 7], [7, 36, -14], [-14, 20, 23], [23, 26, -11], [-11, 40, 2], [2, 40, -11], [-11, 26, 23], [23, 20, -14], [-14, 36, 7], [7, 34, -19]] (m)c.f.e: [1, -40, 1, -1, 5, -2, 1, -3, 20, -3, 1, -2, 5, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 426 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 3, 2, 6, 2, 3, 1, 1, 1, 40] Pell solution, x^2- 426 y^2= 1 : [88751, 4300] ---------- 12 cycle: [[15, 12, -26], [-26, 40, 1], [1, 40, -26], [-26, 12, 15], [15, 18, -23], [-23, 28, 10], [10, 32, -17], [-17, 36, 6], [6, 36, -17], [-17, 32, 10], [10, 28, -23], [-23, 18, 15]] (m)c.f.e: [-1, 40, -1, 1, -1, 3, -2, 6, -2, 3, -1, 1] 12 cycle: [[-15, 12, 26], [26, 40, -1], [-1, 40, 26], [26, 12, -15], [-15, 18, 23], [23, 28, -10], [-10, 32, 17], [17, 36, -6], [-6, 36, 17], [17, 32, -10], [-10, 28, 23], [23, 18, -15]] (m)c.f.e: [1, -40, 1, -1, 1, -3, 2, -6, 2, -3, 1, -1] 8 cycle: [[5, 32, -34], [-34, 36, 3], [3, 36, -34], [-34, 32, 5], [5, 38, -13], [-13, 40, 2], [2, 40, -13], [-13, 38, 5]] (m)c.f.e: [-1, 12, -1, 7, -3, 20, -3, 7] 8 cycle: [[-5, 32, 34], [34, 36, -3], [-3, 36, 34], [34, 32, -5], [-5, 38, 13], [13, 40, -2], [-2, 40, 13], [13, 38, -5]] (m)c.f.e: [1, -12, 1, -7, 3, -20, 3, -7] number of reduced forms: 40 partition: [8, 8, 12, 12] ============================== d: 427 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 40] Pell solution, x^2- 427 y^2= 1 : [62, 3] ---------- 4 cycle: [[19, 6, -22], [-22, 38, 3], [3, 40, -9], [-9, 32, 19]] (m)c.f.e: [-1, 13, -4, 1] 4 cycle: [[-19, 6, 22], [22, 38, -3], [-3, 40, 9], [9, 32, -19]] (m)c.f.e: [1, -13, 4, -1] 4 cycle: [[22, 6, -19], [-19, 32, 9], [9, 40, -3], [-3, 38, 22]] (m)c.f.e: [-1, 4, -13, 1] 4 cycle: [[-22, 6, 19], [19, 32, -9], [-9, 40, 3], [3, 38, -22]] (m)c.f.e: [1, -4, 13, -1] 6 cycle: [[17, 12, -23], [-23, 34, 6], [6, 38, -11], [-11, 28, 21], [21, 14, -18], [-18, 22, 17]] (m)c.f.e: [-1, 6, -3, 1, -1, 1] 6 cycle: [[-17, 12, 23], [23, 34, -6], [-6, 38, 11], [11, 28, -21], [-21, 14, 18], [18, 22, -17]] (m)c.f.e: [1, -6, 3, -1, 1, -1] 6 cycle: [[23, 12, -17], [-17, 22, 18], [18, 14, -21], [-21, 28, 11], [11, 38, -6], [-6, 34, 23]] (m)c.f.e: [-1, 1, -1, 3, -6, 1] 6 cycle: [[-23, 12, 17], [17, 22, -18], [-18, 14, 21], [21, 28, -11], [-11, 38, 6], [6, 34, -23]] (m)c.f.e: [1, -1, 1, -3, 6, -1] 4 cycle: [[14, 14, -27], [-27, 40, 1], [1, 40, -27], [-27, 14, 14]] (m)c.f.e: [-1, 40, -1, 1] 4 cycle: [[-14, 14, 27], [27, 40, -1], [-1, 40, 27], [27, 14, -14]] (m)c.f.e: [1, -40, 1, -1] 4 cycle: [[7, 28, -33], [-33, 38, 2], [2, 38, -33], [-33, 28, 7]] (m)c.f.e: [-1, 19, -1, 4] 4 cycle: [[-7, 28, 33], [33, 38, -2], [-2, 38, 33], [33, 28, -7]] (m)c.f.e: [1, -19, 1, -4] number of reduced forms: 56 partition: [4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 429 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 9, 1, 12, 1, 9, 2, 2, 1, 40] Pell solution, x^2- 429 y^2= 1 : [1524095, 73584] ---------- 6 cycle: [[7, 11, -11], [-11, 11, 7], [7, 17, -5], [-5, 13, 13], [13, 13, -5], [-5, 17, 7]] (m)c.f.e: [-1, 2, -3, 1, -3, 2] 6 cycle: [[-7, 11, 11], [11, 11, -7], [-7, 17, 5], [5, 13, -13], [-13, 13, 5], [5, 17, -7]] (m)c.f.e: [1, -2, 3, -1, 3, -2] 4 cycle: [[3, 15, -17], [-17, 19, 1], [1, 19, -17], [-17, 15, 3]] (m)c.f.e: [-1, 19, -1, 5] 4 cycle: [[-3, 15, 17], [17, 19, -1], [-1, 19, 17], [17, 15, -3]] (m)c.f.e: [1, -19, 1, -5] number of reduced forms: 20 partition: [4, 4, 6, 6] ============================== d: 430 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 3, 1, 6, 8, 6, 1, 3, 1, 2, 1, 40] Pell solution, x^2- 430 y^2= 1 : [2862251, 138030] ---------- 14 cycle: [[18, 8, -23], [-23, 38, 3], [3, 40, -10], [-10, 40, 3], [3, 38, -23], [-23, 8, 18], [18, 28, -13], [-13, 24, 22], [22, 20, -15], [-15, 40, 2], [2, 40, -15], [-15, 20, 22], [22, 24, -13], [-13, 28, 18]] (m)c.f.e: [-1, 13, -4, 13, -1, 1, -2, 1, -2, 20, -2, 1, -2, 1] 14 cycle: [[-18, 8, 23], [23, 38, -3], [-3, 40, 10], [10, 40, -3], [-3, 38, 23], [23, 8, -18], [-18, 28, 13], [13, 24, -22], [-22, 20, 15], [15, 40, -2], [-2, 40, 15], [15, 20, -22], [-22, 24, 13], [13, 28, -18]] (m)c.f.e: [1, -13, 4, -13, 1, -1, 2, -1, 2, -20, 2, -1, 2, -1] 14 cycle: [[11, 20, -30], [-30, 40, 1], [1, 40, -30], [-30, 20, 11], [11, 24, -26], [-26, 28, 9], [9, 26, -29], [-29, 32, 6], [6, 40, -5], [-5, 40, 6], [6, 32, -29], [-29, 26, 9], [9, 28, -26], [-26, 24, 11]] (m)c.f.e: [-1, 40, -1, 2, -1, 3, -1, 6, -8, 6, -1, 3, -1, 2] 14 cycle: [[-11, 20, 30], [30, 40, -1], [-1, 40, 30], [30, 20, -11], [-11, 24, 26], [26, 28, -9], [-9, 26, 29], [29, 32, -6], [-6, 40, 5], [5, 40, -6], [-6, 32, 29], [29, 26, -9], [-9, 28, 26], [26, 24, -11]] (m)c.f.e: [1, -40, 1, -2, 1, -3, 1, -6, 8, -6, 1, -3, 1, -2] number of reduced forms: 56 partition: [14, 14, 14, 14] ============================== d: 431 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 5, 1, 2, 7, 1, 19, 1, 7, 2, 1, 5, 3, 1, 40] Pell solution, x^2- 431 y^2= 1 : [151560720, 7300423] ---------- 16 cycle: [[14, 18, -25], [-25, 32, 7], [7, 38, -10], [-10, 22, 31], [31, 40, -1], [-1, 40, 31], [31, 22, -10], [-10, 38, 7], [7, 32, -25], [-25, 18, 14], [14, 38, -5], [-5, 32, 35], [35, 38, -2], [-2, 38, 35], [35, 32, -5], [-5, 38, 14]] (m)c.f.e: [-1, 5, -3, 1, -40, 1, -3, 5, -1, 2, -7, 1, -19, 1, -7, 2] 16 cycle: [[-14, 18, 25], [25, 32, -7], [-7, 38, 10], [10, 22, -31], [-31, 40, 1], [1, 40, -31], [-31, 22, 10], [10, 38, -7], [-7, 32, 25], [25, 18, -14], [-14, 38, 5], [5, 32, -35], [-35, 38, 2], [2, 38, -35], [-35, 32, 5], [5, 38, -14]] (m)c.f.e: [1, -5, 3, -1, 40, -1, 3, -5, 1, -2, 7, -1, 19, -1, 7, -2] number of reduced forms: 32 partition: [16, 16] ============================== d: 433 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 4, 2, 2, 1, 3, 13, 1, 1, 1, 1, 13, 3, 1, 2, 2, 4, 4, 1, 40] Pell solution, x^2- 433 y^2= -1 : [7230660684, 347483377] ---------- 46 cycle: [[8, 7, -12], [-12, 17, 3], [3, 19, -6], [-6, 17, 6], [6, 19, -3], [-3, 17, 12], [12, 7, -8], [-8, 9, 11], [11, 13, -6], [-6, 11, 13], [13, 15, -4], [-4, 17, 9], [9, 19, -2], [-2, 17, 18], [18, 19, -1], [-1, 19, 18], [18, 17, -2], [-2, 19, 9], [9, 17, -4], [-4, 15, 13], [13, 11, -6], [-6, 13, 11], [11, 9, -8], [-8, 7, 12], [12, 17, -3], [-3, 19, 6], [6, 17, -6], [-6, 19, 3], [3, 17, -12], [-12, 7, 8], [8, 9, -11], [-11, 13, 6], [6, 11, -13], [-13, 15, 4], [4, 17, -9], [-9, 19, 2], [2, 17, -18], [-18, 19, 1], [1, 19, -18], [-18, 17, 2], [2, 19, -9], [-9, 17, 4], [4, 15, -13], [-13, 11, 6], [6, 13, -11], [-11, 9, 8]] (m)c.f.e: [-1, 6, -3, 3, -6, 1, -1, 1, -2, 1, -4, 2, -9, 1, -19, 1, -9, 2, -4, 1, -2, 1, -1, 1, -6, 3, -3, 6, -1, 1, -1, 2, -1, 4, -2, 9, -1, 19, -1, 9, -2, 4, -1, 2, -1, 1] number of reduced forms: 46 partition: [46] ============================== d: 434 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 40] Pell solution, x^2- 434 y^2= 1 : [125, 6] ---------- 6 cycle: [[19, 8, -22], [-22, 36, 5], [5, 34, -29], [-29, 24, 10], [10, 36, -11], [-11, 30, 19]] (m)c.f.e: [-1, 7, -1, 3, -3, 1] 6 cycle: [[-19, 8, 22], [22, 36, -5], [-5, 34, 29], [29, 24, -10], [-10, 36, 11], [11, 30, -19]] (m)c.f.e: [1, -7, 1, -3, 3, -1] 6 cycle: [[22, 8, -19], [-19, 30, 11], [11, 36, -10], [-10, 24, 29], [29, 34, -5], [-5, 36, 22]] (m)c.f.e: [-1, 3, -3, 1, -7, 1] 6 cycle: [[-22, 8, 19], [19, 30, -11], [-11, 36, 10], [10, 24, -29], [-29, 34, 5], [5, 36, -22]] (m)c.f.e: [1, -3, 3, -1, 7, -1] 4 cycle: [[7, 28, -34], [-34, 40, 1], [1, 40, -34], [-34, 28, 7]] (m)c.f.e: [-1, 40, -1, 4] 4 cycle: [[-7, 28, 34], [34, 40, -1], [-1, 40, 34], [34, 28, -7]] (m)c.f.e: [1, -40, 1, -4] 4 cycle: [[14, 28, -17], [-17, 40, 2], [2, 40, -17], [-17, 28, 14]] (m)c.f.e: [-2, 20, -2, 2] 4 cycle: [[-14, 28, 17], [17, 40, -2], [-2, 40, 17], [17, 28, -14]] (m)c.f.e: [2, -20, 2, -2] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 435 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 1, 40] Pell solution, x^2- 435 y^2= 1 : [146, 7] ---------- 8 cycle: [[19, 12, -21], [-21, 30, 10], [10, 30, -21], [-21, 12, 19], [19, 26, -14], [-14, 30, 15], [15, 30, -14], [-14, 26, 19]] (m)c.f.e: [-1, 3, -1, 1, -2, 2, -2, 1] 8 cycle: [[-19, 12, 21], [21, 30, -10], [-10, 30, 21], [21, 12, -19], [-19, 26, 14], [14, 30, -15], [-15, 30, 14], [14, 26, -19]] (m)c.f.e: [1, -3, 1, -1, 2, -2, 2, -1] 4 cycle: [[6, 30, -35], [-35, 40, 1], [1, 40, -35], [-35, 30, 6]] (m)c.f.e: [-1, 40, -1, 5] 4 cycle: [[-6, 30, 35], [35, 40, -1], [-1, 40, 35], [35, 30, -6]] (m)c.f.e: [1, -40, 1, -5] 4 cycle: [[7, 30, -30], [-30, 30, 7], [7, 40, -5], [-5, 40, 7]] (m)c.f.e: [-1, 5, -8, 5] 4 cycle: [[-7, 30, 30], [30, 30, -7], [-7, 40, 5], [5, 40, -7]] (m)c.f.e: [1, -5, 8, -5] 4 cycle: [[3, 36, -37], [-37, 38, 2], [2, 38, -37], [-37, 36, 3]] (m)c.f.e: [-1, 19, -1, 12] 4 cycle: [[-3, 36, 37], [37, 38, -2], [-2, 38, 37], [37, 36, -3]] (m)c.f.e: [1, -19, 1, -12] number of reduced forms: 40 partition: [4, 4, 4, 4, 4, 4, 8, 8] ============================== d: 437 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 9, 2, 9, 1, 40] Pell solution, x^2- 437 y^2= 1 : [4599, 220] ---------- 2 cycle: [[1, 19, -19], [-19, 19, 1]] (m)c.f.e: [-1, 19] 2 cycle: [[-1, 19, 19], [19, 19, -1]] (m)c.f.e: [1, -19] number of reduced forms: 4 partition: [2, 2] ============================== d: 438 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 12, 1, 40] Pell solution, x^2- 438 y^2= 1 : [293, 14] ---------- 8 cycle: [[17, 16, -22], [-22, 28, 11], [11, 38, -7], [-7, 32, 26], [26, 20, -13], [-13, 32, 14], [14, 24, -21], [-21, 18, 17]] (m)c.f.e: [-1, 3, -5, 1, -2, 2, -1, 1] 8 cycle: [[-17, 16, 22], [22, 28, -11], [-11, 38, 7], [7, 32, -26], [-26, 20, 13], [13, 32, -14], [-14, 24, 21], [21, 18, -17]] (m)c.f.e: [1, -3, 5, -1, 2, -2, 1, -1] 8 cycle: [[22, 16, -17], [-17, 18, 21], [21, 24, -14], [-14, 32, 13], [13, 20, -26], [-26, 32, 7], [7, 38, -11], [-11, 28, 22]] (m)c.f.e: [-1, 1, -2, 2, -1, 5, -3, 1] 8 cycle: [[-22, 16, 17], [17, 18, -21], [-21, 24, 14], [14, 32, -13], [-13, 20, 26], [26, 32, -7], [-7, 38, 11], [11, 28, -22]] (m)c.f.e: [1, -1, 2, -2, 1, -5, 3, -1] 4 cycle: [[3, 36, -38], [-38, 40, 1], [1, 40, -38], [-38, 36, 3]] (m)c.f.e: [-1, 40, -1, 12] 4 cycle: [[-3, 36, 38], [38, 40, -1], [-1, 40, 38], [38, 36, -3]] (m)c.f.e: [1, -40, 1, -12] 4 cycle: [[6, 36, -19], [-19, 40, 2], [2, 40, -19], [-19, 36, 6]] (m)c.f.e: [-2, 20, -2, 6] 4 cycle: [[-6, 36, 19], [19, 40, -2], [-2, 40, 19], [19, 36, -6]] (m)c.f.e: [2, -20, 2, -6] number of reduced forms: 48 partition: [4, 4, 4, 4, 8, 8, 8, 8] ============================== d: 439 number of cycles (narrow class number): 10 class number: 5 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 19, 1, 40] Pell solution, x^2- 439 y^2= 1 : [440, 21] ---------- 8 cycle: [[18, 10, -23], [-23, 36, 5], [5, 34, -30], [-30, 26, 9], [9, 28, -27], [-27, 26, 10], [10, 34, -15], [-15, 26, 18]] (m)c.f.e: [-1, 7, -1, 3, -1, 3, -2, 1] 8 cycle: [[-18, 10, 23], [23, 36, -5], [-5, 34, 30], [30, 26, -9], [-9, 28, 27], [27, 26, -10], [-10, 34, 15], [15, 26, -18]] (m)c.f.e: [1, -7, 1, -3, 1, -3, 2, -1] 8 cycle: [[23, 10, -18], [-18, 26, 15], [15, 34, -10], [-10, 26, 27], [27, 28, -9], [-9, 26, 30], [30, 34, -5], [-5, 36, 23]] (m)c.f.e: [-1, 2, -3, 1, -3, 1, -7, 1] 8 cycle: [[-23, 10, 18], [18, 26, -15], [-15, 34, 10], [10, 26, -27], [-27, 28, 9], [9, 26, -30], [-30, 34, 5], [5, 36, -23]] (m)c.f.e: [1, -2, 3, -1, 3, -1, 7, -1] 6 cycle: [[15, 14, -26], [-26, 38, 3], [3, 40, -13], [-13, 38, 6], [6, 34, -25], [-25, 16, 15]] (m)c.f.e: [-1, 13, -3, 6, -1, 1] 6 cycle: [[-15, 14, 26], [26, 38, -3], [-3, 40, 13], [13, 38, -6], [-6, 34, 25], [25, 16, -15]] (m)c.f.e: [1, -13, 3, -6, 1, -1] 6 cycle: [[26, 14, -15], [-15, 16, 25], [25, 34, -6], [-6, 38, 13], [13, 40, -3], [-3, 38, 26]] (m)c.f.e: [-1, 1, -6, 3, -13, 1] 6 cycle: [[-26, 14, 15], [15, 16, -25], [-25, 34, 6], [6, 38, -13], [-13, 40, 3], [3, 38, -26]] (m)c.f.e: [1, -1, 6, -3, 13, -1] 4 cycle: [[2, 38, -39], [-39, 40, 1], [1, 40, -39], [-39, 38, 2]] (m)c.f.e: [-1, 40, -1, 19] 4 cycle: [[-2, 38, 39], [39, 40, -1], [-1, 40, 39], [39, 38, -2]] (m)c.f.e: [1, -40, 1, -19] number of reduced forms: 64 partition: [4, 4, 6, 6, 6, 6, 8, 8, 8, 8] ============================== d: 442 number of cycles (narrow class number): 8 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [42] Pell solution, x^2- 442 y^2= -1 : [21, 1] ---------- 6 cycle: [[21, 2, -21], [-21, 40, 2], [2, 40, -21], [-21, 2, 21], [21, 40, -2], [-2, 40, 21]] (m)c.f.e: [-1, 20, -1, 1, -20, 1] 6 cycle: [[14, 16, -27], [-27, 38, 3], [3, 40, -14], [-14, 16, 27], [27, 38, -3], [-3, 40, 14]] (m)c.f.e: [-1, 13, -2, 1, -13, 2] 14 cycle: [[18, 16, -21], [-21, 26, 13], [13, 26, -21], [-21, 16, 18], [18, 20, -19], [-19, 18, 19], [19, 20, -18], [-18, 16, 21], [21, 26, -13], [-13, 26, 21], [21, 16, -18], [-18, 20, 19], [19, 18, -19], [-19, 20, 18]] (m)c.f.e: [-1, 2, -1, 1, -1, 1, -1, 1, -2, 1, -1, 1, -1, 1] 6 cycle: [[27, 16, -14], [-14, 40, 3], [3, 38, -27], [-27, 16, 14], [14, 40, -3], [-3, 38, 27]] (m)c.f.e: [-2, 13, -1, 2, -13, 1] 6 cycle: [[7, 30, -31], [-31, 32, 6], [6, 40, -7], [-7, 30, 31], [31, 32, -6], [-6, 40, 7]] (m)c.f.e: [-1, 6, -5, 1, -6, 5] 6 cycle: [[31, 30, -7], [-7, 40, 6], [6, 32, -31], [-31, 30, 7], [7, 40, -6], [-6, 32, 31]] (m)c.f.e: [-5, 6, -1, 5, -6, 1] 6 cycle: [[9, 34, -17], [-17, 34, 9], [9, 38, -9], [-9, 34, 17], [17, 34, -9], [-9, 38, 9]] (m)c.f.e: [-2, 4, -4, 2, -4, 4] 2 cycle: [[1, 42, -1], [-1, 42, 1]] (m)c.f.e: [-42, 42] number of reduced forms: 52 partition: [2, 6, 6, 6, 6, 6, 6, 14] ============================== d: 443 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [21, 42] Pell solution, x^2- 443 y^2= 1 : [442, 21] ---------- 8 cycle: [[19, 10, -22], [-22, 34, 7], [7, 36, -17], [-17, 32, 11], [11, 34, -14], [-14, 22, 23], [23, 24, -13], [-13, 28, 19]] (m)c.f.e: [-1, 5, -2, 3, -2, 1, -2, 1] 8 cycle: [[-19, 10, 22], [22, 34, -7], [-7, 36, 17], [17, 32, -11], [-11, 34, 14], [14, 22, -23], [-23, 24, 13], [13, 28, -19]] (m)c.f.e: [1, -5, 2, -3, 2, -1, 2, -1] 8 cycle: [[22, 10, -19], [-19, 28, 13], [13, 24, -23], [-23, 22, 14], [14, 34, -11], [-11, 32, 17], [17, 36, -7], [-7, 34, 22]] (m)c.f.e: [-1, 2, -1, 2, -3, 2, -5, 1] 8 cycle: [[-22, 10, 19], [19, 28, -13], [-13, 24, 23], [23, 22, -14], [-14, 34, 11], [11, 32, -17], [-17, 36, 7], [7, 34, -22]] (m)c.f.e: [1, -2, 1, -2, 3, -2, 5, -1] 2 cycle: [[1, 42, -2], [-2, 42, 1]] (m)c.f.e: [-21, 42] 2 cycle: [[-1, 42, 2], [2, 42, -1]] (m)c.f.e: [21, -42] number of reduced forms: 36 partition: [2, 2, 8, 8, 8, 8] ============================== d: 445 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 1, 1, 10, 42] Pell solution, x^2- 445 y^2= -1 : [4662, 221] ---------- 10 cycle: [[9, 7, -11], [-11, 15, 5], [5, 15, -11], [-11, 7, 9], [9, 11, -9], [-9, 7, 11], [11, 15, -5], [-5, 15, 11], [11, 7, -9], [-9, 11, 9]] (m)c.f.e: [-1, 3, -1, 1, -1, 1, -3, 1, -1, 1] 6 cycle: [[7, 9, -13], [-13, 17, 3], [3, 19, -7], [-7, 9, 13], [13, 17, -3], [-3, 19, 7]] (m)c.f.e: [-1, 6, -2, 1, -6, 2] 6 cycle: [[13, 9, -7], [-7, 19, 3], [3, 17, -13], [-13, 9, 7], [7, 19, -3], [-3, 17, 13]] (m)c.f.e: [-2, 6, -1, 2, -6, 1] 2 cycle: [[1, 21, -1], [-1, 21, 1]] (m)c.f.e: [-21, 21] number of reduced forms: 24 partition: [2, 6, 6, 10] ============================== d: 446 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 2, 2, 1, 3, 1, 1, 20, 1, 1, 3, 1, 2, 2, 8, 42] Pell solution, x^2- 446 y^2= 1 : [110166015, 5216512] ---------- 16 cycle: [[19, 6, -23], [-23, 40, 2], [2, 40, -23], [-23, 6, 19], [19, 32, -10], [-10, 28, 25], [25, 22, -13], [-13, 30, 17], [17, 38, -5], [-5, 42, 1], [1, 42, -5], [-5, 38, 17], [17, 30, -13], [-13, 22, 25], [25, 28, -10], [-10, 32, 19]] (m)c.f.e: [-1, 20, -1, 1, -3, 1, -2, 2, -8, 42, -8, 2, -2, 1, -3, 1] 16 cycle: [[-19, 6, 23], [23, 40, -2], [-2, 40, 23], [23, 6, -19], [-19, 32, 10], [10, 28, -25], [-25, 22, 13], [13, 30, -17], [-17, 38, 5], [5, 42, -1], [-1, 42, 5], [5, 38, -17], [-17, 30, 13], [13, 22, -25], [-25, 28, 10], [10, 32, -19]] (m)c.f.e: [1, -20, 1, -1, 3, -1, 2, -2, 8, -42, 8, -2, 2, -1, 3, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 447 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 42] Pell solution, x^2- 447 y^2= 1 : [148, 7] ---------- 2 cycle: [[1, 42, -6], [-6, 42, 1]] (m)c.f.e: [-7, 42] 2 cycle: [[-1, 42, 6], [6, 42, -1]] (m)c.f.e: [7, -42] 2 cycle: [[2, 42, -3], [-3, 42, 2]] (m)c.f.e: [-14, 21] 2 cycle: [[-2, 42, 3], [3, 42, -2]] (m)c.f.e: [14, -21] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 449 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 3, 1, 1, 1, 7, 1, 5, 5, 1, 7, 1, 1, 1, 3, 5, 42] Pell solution, x^2- 449 y^2= -1 : [189471332, 8941705] ---------- 38 cycle: [[10, 3, -11], [-11, 19, 2], [2, 21, -1], [-1, 21, 2], [2, 19, -11], [-11, 3, 10], [10, 17, -4], [-4, 15, 14], [14, 13, -5], [-5, 17, 8], [8, 15, -7], [-7, 13, 10], [10, 7, -10], [-10, 13, 7], [7, 15, -8], [-8, 17, 5], [5, 13, -14], [-14, 15, 4], [4, 17, -10], [-10, 3, 11], [11, 19, -2], [-2, 21, 1], [1, 21, -2], [-2, 19, 11], [11, 3, -10], [-10, 17, 4], [4, 15, -14], [-14, 13, 5], [5, 17, -8], [-8, 15, 7], [7, 13, -10], [-10, 7, 10], [10, 13, -7], [-7, 15, 8], [8, 17, -5], [-5, 13, 14], [14, 15, -4], [-4, 17, 10]] (m)c.f.e: [-1, 10, -21, 10, -1, 1, -4, 1, -3, 2, -2, 1, -1, 2, -2, 3, -1, 4, -1, 1, -10, 21, -10, 1, -1, 4, -1, 3, -2, 2, -1, 1, -2, 2, -3, 1, -4, 1] number of reduced forms: 38 partition: [38] ============================== d: 451 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 4, 2, 8, 21, 8, 2, 4, 4, 42] Pell solution, x^2- 451 y^2= 1 : [46471490, 2188257] ---------- 18 cycle: [[13, 20, -27], [-27, 34, 6], [6, 38, -15], [-15, 22, 22], [22, 22, -15], [-15, 38, 6], [6, 34, -27], [-27, 20, 13], [13, 32, -15], [-15, 28, 17], [17, 40, -3], [-3, 38, 30], [30, 22, -11], [-11, 22, 30], [30, 38, -3], [-3, 40, 17], [17, 28, -15], [-15, 32, 13]] (m)c.f.e: [-1, 6, -2, 1, -2, 6, -1, 2, -2, 2, -13, 1, -2, 1, -13, 2, -2, 2] 18 cycle: [[-13, 20, 27], [27, 34, -6], [-6, 38, 15], [15, 22, -22], [-22, 22, 15], [15, 38, -6], [-6, 34, 27], [27, 20, -13], [-13, 32, 15], [15, 28, -17], [-17, 40, 3], [3, 38, -30], [-30, 22, 11], [11, 22, -30], [-30, 38, 3], [3, 40, -17], [-17, 28, 15], [15, 32, -13]] (m)c.f.e: [1, -6, 2, -1, 2, -6, 1, -2, 2, -2, 13, -1, 2, -1, 13, -2, 2, -2] 10 cycle: [[9, 34, -18], [-18, 38, 5], [5, 42, -2], [-2, 42, 5], [5, 38, -18], [-18, 34, 9], [9, 38, -10], [-10, 42, 1], [1, 42, -10], [-10, 38, 9]] (m)c.f.e: [-2, 8, -21, 8, -2, 4, -4, 42, -4, 4] 10 cycle: [[-9, 34, 18], [18, 38, -5], [-5, 42, 2], [2, 42, -5], [-5, 38, 18], [18, 34, -9], [-9, 38, 10], [10, 42, -1], [-1, 42, 10], [10, 38, -9]] (m)c.f.e: [2, -8, 21, -8, 2, -4, 4, -42, 4, -4] number of reduced forms: 56 partition: [10, 10, 18, 18] ============================== d: 453 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 10, 14, 10, 1, 1, 3, 42] Pell solution, x^2- 453 y^2= 1 : [1653751, 77700] ---------- 2 cycle: [[1, 21, -3], [-3, 21, 1]] (m)c.f.e: [-7, 21] 2 cycle: [[-1, 21, 3], [3, 21, -1]] (m)c.f.e: [7, -21] number of reduced forms: 4 partition: [2, 2] ============================== d: 454 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 3, 1, 13, 2, 3, 2, 1, 1, 4, 6, 1, 7, 1, 1, 1, 20, 1, 1, 1, 7, 1, 6, 4, 1, 1, 2, 3, 2, 13, 1, 3, 3, 42] Pell solution, x^2- 454 y^2= 1 : [16916040084175685, 793909098494766] ---------- 34 cycle: [[19, 12, -22], [-22, 32, 9], [9, 40, -6], [-6, 32, 33], [33, 34, -5], [-5, 36, 26], [26, 16, -15], [-15, 14, 27], [27, 40, -2], [-2, 40, 27], [27, 14, -15], [-15, 16, 26], [26, 36, -5], [-5, 34, 33], [33, 32, -6], [-6, 40, 9], [9, 32, -22], [-22, 12, 19], [19, 26, -15], [-15, 34, 11], [11, 32, -18], [-18, 40, 3], [3, 38, -31], [-31, 24, 10], [10, 36, -13], [-13, 42, 1], [1, 42, -13], [-13, 36, 10], [10, 24, -31], [-31, 38, 3], [3, 40, -18], [-18, 32, 11], [11, 34, -15], [-15, 26, 19]] (m)c.f.e: [-1, 4, -6, 1, -7, 1, -1, 1, -20, 1, -1, 1, -7, 1, -6, 4, -1, 1, -2, 3, -2, 13, -1, 3, -3, 42, -3, 3, -1, 13, -2, 3, -2, 1] 34 cycle: [[-19, 12, 22], [22, 32, -9], [-9, 40, 6], [6, 32, -33], [-33, 34, 5], [5, 36, -26], [-26, 16, 15], [15, 14, -27], [-27, 40, 2], [2, 40, -27], [-27, 14, 15], [15, 16, -26], [-26, 36, 5], [5, 34, -33], [-33, 32, 6], [6, 40, -9], [-9, 32, 22], [22, 12, -19], [-19, 26, 15], [15, 34, -11], [-11, 32, 18], [18, 40, -3], [-3, 38, 31], [31, 24, -10], [-10, 36, 13], [13, 42, -1], [-1, 42, 13], [13, 36, -10], [-10, 24, 31], [31, 38, -3], [-3, 40, 18], [18, 32, -11], [-11, 34, 15], [15, 26, -19]] (m)c.f.e: [1, -4, 6, -1, 7, -1, 1, -1, 20, -1, 1, -1, 7, -1, 6, -4, 1, -1, 2, -3, 2, -13, 1, -3, 3, -42, 3, -3, 1, -13, 2, -3, 2, -1] number of reduced forms: 68 partition: [34, 34] ============================== d: 455 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 42] Pell solution, x^2- 455 y^2= 1 : [64, 3] ---------- 8 cycle: [[17, 16, -23], [-23, 30, 10], [10, 30, -23], [-23, 16, 17], [17, 18, -22], [-22, 26, 13], [13, 26, -22], [-22, 18, 17]] (m)c.f.e: [-1, 3, -1, 1, -1, 2, -1, 1] 8 cycle: [[-17, 16, 23], [23, 30, -10], [-10, 30, 23], [23, 16, -17], [-17, 18, 22], [22, 26, -13], [-13, 26, 22], [22, 18, -17]] (m)c.f.e: [1, -3, 1, -1, 1, -2, 1, -1] 4 cycle: [[11, 26, -26], [-26, 26, 11], [11, 40, -5], [-5, 40, 11]] (m)c.f.e: [-1, 3, -8, 3] 4 cycle: [[-11, 26, 26], [26, 26, -11], [-11, 40, 5], [5, 40, -11]] (m)c.f.e: [1, -3, 8, -3] 2 cycle: [[1, 42, -14], [-14, 42, 1]] (m)c.f.e: [-3, 42] 2 cycle: [[-1, 42, 14], [14, 42, -1]] (m)c.f.e: [3, -42] 2 cycle: [[2, 42, -7], [-7, 42, 2]] (m)c.f.e: [-6, 21] 2 cycle: [[-2, 42, 7], [7, 42, -2]] (m)c.f.e: [6, -21] number of reduced forms: 32 partition: [2, 2, 2, 2, 4, 4, 8, 8] ============================== d: 457 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 1, 5, 2, 13, 1, 3, 1, 4, 1, 1, 4, 1, 3, 1, 13, 2, 5, 1, 1, 1, 2, 42] Pell solution, x^2- 457 y^2= -1 : [59089951584, 2764111349] ---------- 46 cycle: [[9, 5, -12], [-12, 19, 2], [2, 21, -2], [-2, 19, 12], [12, 5, -9], [-9, 13, 8], [8, 19, -3], [-3, 17, 14], [14, 11, -6], [-6, 13, 12], [12, 11, -7], [-7, 17, 6], [6, 19, -4], [-4, 21, 1], [1, 21, -4], [-4, 19, 6], [6, 17, -7], [-7, 11, 12], [12, 13, -6], [-6, 11, 14], [14, 17, -3], [-3, 19, 8], [8, 13, -9], [-9, 5, 12], [12, 19, -2], [-2, 21, 2], [2, 19, -12], [-12, 5, 9], [9, 13, -8], [-8, 19, 3], [3, 17, -14], [-14, 11, 6], [6, 13, -12], [-12, 11, 7], [7, 17, -6], [-6, 19, 4], [4, 21, -1], [-1, 21, 4], [4, 19, -6], [-6, 17, 7], [7, 11, -12], [-12, 13, 6], [6, 11, -14], [-14, 17, 3], [3, 19, -8], [-8, 13, 9]] (m)c.f.e: [-1, 10, -10, 1, -1, 2, -6, 1, -2, 1, -2, 3, -5, 21, -5, 3, -2, 1, -2, 1, -6, 2, -1, 1, -10, 10, -1, 1, -2, 6, -1, 2, -1, 2, -3, 5, -21, 5, -3, 2, -1, 2, -1, 6, -2, 1] number of reduced forms: 46 partition: [46] ============================== d: 458 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 42] Pell solution, x^2- 458 y^2= -1 : [107, 5] ---------- 10 cycle: [[13, 18, -29], [-29, 40, 2], [2, 40, -29], [-29, 18, 13], [13, 34, -13], [-13, 18, 29], [29, 40, -2], [-2, 40, 29], [29, 18, -13], [-13, 34, 13]] (m)c.f.e: [-1, 20, -1, 2, -2, 1, -20, 1, -2, 2] 6 cycle: [[17, 26, -17], [-17, 42, 1], [1, 42, -17], [-17, 26, 17], [17, 42, -1], [-1, 42, 17]] (m)c.f.e: [-2, 42, -2, 2, -42, 2] number of reduced forms: 16 partition: [6, 10] ============================== d: 461 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 8, 10, 1, 1, 1, 1, 1, 1, 1, 1, 10, 8, 2, 42] Pell solution, x^2- 461 y^2= -1 : [24314110, 1132421] ---------- 6 cycle: [[5, 19, -5], [-5, 21, 1], [1, 21, -5], [-5, 19, 5], [5, 21, -1], [-1, 21, 5]] (m)c.f.e: [-4, 21, -4, 4, -21, 4] number of reduced forms: 6 partition: [6] ============================== d: 462 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 42] Pell solution, x^2- 462 y^2= 1 : [43, 2] ---------- 6 cycle: [[19, 10, -23], [-23, 36, 6], [6, 36, -23], [-23, 10, 19], [19, 28, -14], [-14, 28, 19]] (m)c.f.e: [-1, 6, -1, 1, -2, 1] 6 cycle: [[-19, 10, 23], [23, 36, -6], [-6, 36, 23], [23, 10, -19], [-19, 28, 14], [14, 28, -19]] (m)c.f.e: [1, -6, 1, -1, 2, -1] 4 cycle: [[11, 22, -31], [-31, 40, 2], [2, 40, -31], [-31, 22, 11]] (m)c.f.e: [-1, 20, -1, 2] 4 cycle: [[-11, 22, 31], [31, 40, -2], [-2, 40, 31], [31, 22, -11]] (m)c.f.e: [1, -20, 1, -2] 2 cycle: [[1, 42, -21], [-21, 42, 1]] (m)c.f.e: [-2, 42] 2 cycle: [[-1, 42, 21], [21, 42, -1]] (m)c.f.e: [2, -42] 2 cycle: [[3, 42, -7], [-7, 42, 3]] (m)c.f.e: [-6, 14] 2 cycle: [[-3, 42, 7], [7, 42, -3]] (m)c.f.e: [6, -14] number of reduced forms: 28 partition: [2, 2, 2, 2, 4, 4, 6, 6] ============================== d: 463 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 13, 1, 5, 4, 1, 1, 1, 1, 2, 2, 6, 1, 3, 21, 3, 1, 6, 2, 2, 1, 1, 1, 1, 4, 5, 1, 13, 1, 1, 42] Pell solution, x^2- 463 y^2= 1 : [247512720456368, 11502891625161] ---------- 32 cycle: [[21, 2, -22], [-22, 42, 1], [1, 42, -22], [-22, 2, 21], [21, 40, -3], [-3, 38, 34], [34, 30, -7], [-7, 40, 9], [9, 32, -23], [-23, 14, 18], [18, 22, -19], [-19, 16, 21], [21, 26, -14], [-14, 30, 17], [17, 38, -6], [-6, 34, 29], [29, 24, -11], [-11, 42, 2], [2, 42, -11], [-11, 24, 29], [29, 34, -6], [-6, 38, 17], [17, 30, -14], [-14, 26, 21], [21, 16, -19], [-19, 22, 18], [18, 14, -23], [-23, 32, 9], [9, 40, -7], [-7, 30, 34], [34, 38, -3], [-3, 40, 21]] (m)c.f.e: [-1, 42, -1, 1, -13, 1, -5, 4, -1, 1, -1, 1, -2, 2, -6, 1, -3, 21, -3, 1, -6, 2, -2, 1, -1, 1, -1, 4, -5, 1, -13, 1] 32 cycle: [[-21, 2, 22], [22, 42, -1], [-1, 42, 22], [22, 2, -21], [-21, 40, 3], [3, 38, -34], [-34, 30, 7], [7, 40, -9], [-9, 32, 23], [23, 14, -18], [-18, 22, 19], [19, 16, -21], [-21, 26, 14], [14, 30, -17], [-17, 38, 6], [6, 34, -29], [-29, 24, 11], [11, 42, -2], [-2, 42, 11], [11, 24, -29], [-29, 34, 6], [6, 38, -17], [-17, 30, 14], [14, 26, -21], [-21, 16, 19], [19, 22, -18], [-18, 14, 23], [23, 32, -9], [-9, 40, 7], [7, 30, -34], [-34, 38, 3], [3, 40, -21]] (m)c.f.e: [1, -42, 1, -1, 13, -1, 5, -4, 1, -1, 1, -1, 2, -2, 6, -1, 3, -21, 3, -1, 6, -2, 2, -1, 1, -1, 1, -4, 5, -1, 13, -1] number of reduced forms: 64 partition: [32, 32] ============================== d: 465 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 2, 2, 2, 3, 1, 1, 42] Pell solution, x^2- 465 y^2= 1 : [15871, 736] ---------- 10 cycle: [[10, 5, -11], [-11, 17, 4], [4, 15, -15], [-15, 15, 4], [4, 17, -11], [-11, 5, 10], [10, 15, -6], [-6, 21, 1], [1, 21, -6], [-6, 15, 10]] (m)c.f.e: [-1, 4, -1, 4, -1, 1, -3, 21, -3, 1] 10 cycle: [[-10, 5, 11], [11, 17, -4], [-4, 15, 15], [15, 15, -4], [-4, 17, 11], [11, 5, -10], [-10, 15, 6], [6, 21, -1], [-1, 21, 6], [6, 15, -10]] (m)c.f.e: [1, -4, 1, -4, 1, -1, 3, -21, 3, -1] 10 cycle: [[8, 7, -13], [-13, 19, 2], [2, 21, -3], [-3, 21, 2], [2, 19, -13], [-13, 7, 8], [8, 9, -12], [-12, 15, 5], [5, 15, -12], [-12, 9, 8]] (m)c.f.e: [-1, 10, -7, 10, -1, 1, -1, 3, -1, 1] 10 cycle: [[-8, 7, 13], [13, 19, -2], [-2, 21, 3], [3, 21, -2], [-2, 19, 13], [13, 7, -8], [-8, 9, 12], [12, 15, -5], [-5, 15, 12], [12, 9, -8]] (m)c.f.e: [1, -10, 7, -10, 1, -1, 1, -3, 1, -1] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 466 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 2, 1, 2, 5, 1, 3, 1, 20, 1, 3, 1, 5, 2, 1, 2, 2, 1, 1, 42] Pell solution, x^2- 466 y^2= 1 : [938319425, 43466808] ---------- 20 cycle: [[21, 4, -22], [-22, 40, 3], [3, 38, -35], [-35, 32, 6], [6, 40, -11], [-11, 26, 27], [27, 28, -10], [-10, 32, 21], [21, 10, -21], [-21, 32, 10], [10, 28, -27], [-27, 26, 11], [11, 40, -6], [-6, 32, 35], [35, 38, -3], [-3, 40, 22], [22, 4, -21], [-21, 38, 5], [5, 42, -5], [-5, 38, 21]] (m)c.f.e: [-1, 13, -1, 6, -3, 1, -3, 1, -1, 3, -1, 3, -6, 1, -13, 1, -1, 8, -8, 1] 20 cycle: [[-21, 4, 22], [22, 40, -3], [-3, 38, 35], [35, 32, -6], [-6, 40, 11], [11, 26, -27], [-27, 28, 10], [10, 32, -21], [-21, 10, 21], [21, 32, -10], [-10, 28, 27], [27, 26, -11], [-11, 40, 6], [6, 32, -35], [-35, 38, 3], [3, 40, -22], [-22, 4, 21], [21, 38, -5], [-5, 42, 5], [5, 38, -21]] (m)c.f.e: [1, -13, 1, -6, 3, -1, 3, -1, 1, -3, 1, -3, 6, -1, 13, -1, 1, -8, 8, -1] 22 cycle: [[18, 8, -25], [-25, 42, 1], [1, 42, -25], [-25, 8, 18], [18, 28, -15], [-15, 32, 14], [14, 24, -23], [-23, 22, 15], [15, 38, -7], [-7, 32, 30], [30, 28, -9], [-9, 26, 33], [33, 40, -2], [-2, 40, 33], [33, 26, -9], [-9, 28, 30], [30, 32, -7], [-7, 38, 15], [15, 22, -23], [-23, 24, 14], [14, 32, -15], [-15, 28, 18]] (m)c.f.e: [-1, 42, -1, 1, -2, 2, -1, 2, -5, 1, -3, 1, -20, 1, -3, 1, -5, 2, -1, 2, -2, 1] 22 cycle: [[-18, 8, 25], [25, 42, -1], [-1, 42, 25], [25, 8, -18], [-18, 28, 15], [15, 32, -14], [-14, 24, 23], [23, 22, -15], [-15, 38, 7], [7, 32, -30], [-30, 28, 9], [9, 26, -33], [-33, 40, 2], [2, 40, -33], [-33, 26, 9], [9, 28, -30], [-30, 32, 7], [7, 38, -15], [-15, 22, 23], [23, 24, -14], [-14, 32, 15], [15, 28, -18]] (m)c.f.e: [1, -42, 1, -1, 2, -2, 1, -2, 5, -1, 3, -1, 20, -1, 3, -1, 5, -2, 1, -2, 2, -1] number of reduced forms: 84 partition: [20, 20, 22, 22] ============================== d: 467 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 3, 3, 21, 3, 3, 1, 1, 1, 1, 42] Pell solution, x^2- 467 y^2= 1 : [1625626, 75225] ---------- 14 cycle: [[17, 10, -26], [-26, 42, 1], [1, 42, -26], [-26, 10, 17], [17, 24, -19], [-19, 14, 22], [22, 30, -11], [-11, 36, 13], [13, 42, -2], [-2, 42, 13], [13, 36, -11], [-11, 30, 22], [22, 14, -19], [-19, 24, 17]] (m)c.f.e: [-1, 42, -1, 1, -1, 1, -3, 3, -21, 3, -3, 1, -1, 1] 14 cycle: [[-17, 10, 26], [26, 42, -1], [-1, 42, 26], [26, 10, -17], [-17, 24, 19], [19, 14, -22], [-22, 30, 11], [11, 36, -13], [-13, 42, 2], [2, 42, -13], [-13, 36, 11], [11, 30, -22], [-22, 14, 19], [19, 24, -17]] (m)c.f.e: [1, -42, 1, -1, 1, -1, 3, -3, 21, -3, 3, -1, 1, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 469 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 10, 6, 10, 1, 1, 1, 42] Pell solution, x^2- 469 y^2= 1 : [137215, 6336] ---------- 4 cycle: [[5, 13, -15], [-15, 17, 3], [3, 19, -9], [-9, 17, 5]] (m)c.f.e: [-1, 6, -2, 3] 4 cycle: [[-5, 13, 15], [15, 17, -3], [-3, 19, 9], [9, 17, -5]] (m)c.f.e: [1, -6, 2, -3] 4 cycle: [[15, 13, -5], [-5, 17, 9], [9, 19, -3], [-3, 17, 15]] (m)c.f.e: [-3, 2, -6, 1] 4 cycle: [[-15, 13, 5], [5, 17, -9], [-9, 19, 3], [3, 17, -15]] (m)c.f.e: [3, -2, 6, -1] 2 cycle: [[1, 21, -7], [-7, 21, 1]] (m)c.f.e: [-3, 21] 2 cycle: [[-1, 21, 7], [7, 21, -1]] (m)c.f.e: [3, -21] number of reduced forms: 20 partition: [2, 2, 4, 4, 4, 4] ============================== d: 470 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 8, 2, 1, 42] Pell solution, x^2- 470 y^2= 1 : [1691, 78] ---------- 6 cycle: [[14, 16, -29], [-29, 42, 1], [1, 42, -29], [-29, 16, 14], [14, 40, -5], [-5, 40, 14]] (m)c.f.e: [-1, 42, -1, 2, -8, 2] 6 cycle: [[-14, 16, 29], [29, 42, -1], [-1, 42, 29], [29, 16, -14], [-14, 40, 5], [5, 40, -14]] (m)c.f.e: [1, -42, 1, -2, 8, -2] 6 cycle: [[7, 30, -35], [-35, 40, 2], [2, 40, -35], [-35, 30, 7], [7, 40, -10], [-10, 40, 7]] (m)c.f.e: [-1, 20, -1, 5, -4, 5] 6 cycle: [[-7, 30, 35], [35, 40, -2], [-2, 40, 35], [35, 30, -7], [-7, 40, 10], [10, 40, -7]] (m)c.f.e: [1, -20, 1, -5, 4, -5] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 471 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42] Pell solution, x^2- 471 y^2= 1 : [7838695, 361188] ---------- 14 cycle: [[21, 6, -22], [-22, 38, 5], [5, 42, -6], [-6, 42, 5], [5, 38, -22], [-22, 6, 21], [21, 36, -7], [-7, 34, 26], [26, 18, -15], [-15, 42, 2], [2, 42, -15], [-15, 18, 26], [26, 34, -7], [-7, 36, 21]] (m)c.f.e: [-1, 8, -7, 8, -1, 1, -5, 1, -2, 21, -2, 1, -5, 1] 14 cycle: [[-21, 6, 22], [22, 38, -5], [-5, 42, 6], [6, 42, -5], [-5, 38, 22], [22, 6, -21], [-21, 36, 7], [7, 34, -26], [-26, 18, 15], [15, 42, -2], [-2, 42, 15], [15, 18, -26], [-26, 34, 7], [7, 36, -21]] (m)c.f.e: [1, -8, 7, -8, 1, -1, 5, -1, 2, -21, 2, -1, 5, -1] 14 cycle: [[13, 18, -30], [-30, 42, 1], [1, 42, -30], [-30, 18, 13], [13, 34, -14], [-14, 22, 25], [25, 28, -11], [-11, 38, 10], [10, 42, -3], [-3, 42, 10], [10, 38, -11], [-11, 28, 25], [25, 22, -14], [-14, 34, 13]] (m)c.f.e: [-1, 42, -1, 2, -2, 1, -3, 4, -14, 4, -3, 1, -2, 2] 14 cycle: [[-13, 18, 30], [30, 42, -1], [-1, 42, 30], [30, 18, -13], [-13, 34, 14], [14, 22, -25], [-25, 28, 11], [11, 38, -10], [-10, 42, 3], [3, 42, -10], [-10, 38, 11], [11, 28, -25], [-25, 22, 14], [14, 34, -13]] (m)c.f.e: [1, -42, 1, -2, 2, -1, 3, -4, 14, -4, 3, -1, 2, -2] number of reduced forms: 56 partition: [14, 14, 14, 14] ============================== d: 473 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 42] Pell solution, x^2- 473 y^2= 1 : [87, 4] ---------- 4 cycle: [[7, 9, -14], [-14, 19, 2], [2, 21, -4], [-4, 19, 7]] (m)c.f.e: [-1, 10, -5, 2] 4 cycle: [[-7, 9, 14], [14, 19, -2], [-2, 21, 4], [4, 19, -7]] (m)c.f.e: [1, -10, 5, -2] 4 cycle: [[14, 9, -7], [-7, 19, 4], [4, 21, -2], [-2, 19, 14]] (m)c.f.e: [-2, 5, -10, 1] 4 cycle: [[-14, 9, 7], [7, 19, -4], [-4, 21, 2], [2, 19, -14]] (m)c.f.e: [2, -5, 10, -1] 4 cycle: [[8, 11, -11], [-11, 11, 8], [8, 21, -1], [-1, 21, 8]] (m)c.f.e: [-1, 2, -21, 2] 4 cycle: [[-8, 11, 11], [11, 11, -8], [-8, 21, 1], [1, 21, -8]] (m)c.f.e: [1, -2, 21, -2] number of reduced forms: 24 partition: [4, 4, 4, 4, 4, 4] ============================== d: 474 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 2, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 42] Pell solution, x^2- 474 y^2= 1 : [193549, 8890] ---------- 14 cycle: [[17, 14, -25], [-25, 36, 6], [6, 36, -25], [-25, 14, 17], [17, 20, -22], [-22, 24, 15], [15, 36, -10], [-10, 24, 33], [33, 42, -1], [-1, 42, 33], [33, 24, -10], [-10, 36, 15], [15, 24, -22], [-22, 20, 17]] (m)c.f.e: [-1, 6, -1, 1, -1, 2, -3, 1, -42, 1, -3, 2, -1, 1] 14 cycle: [[-17, 14, 25], [25, 36, -6], [-6, 36, 25], [25, 14, -17], [-17, 20, 22], [22, 24, -15], [-15, 36, 10], [10, 24, -33], [-33, 42, 1], [1, 42, -33], [-33, 24, 10], [10, 36, -15], [-15, 24, 22], [22, 20, -17]] (m)c.f.e: [1, -6, 1, -1, 1, -2, 3, -1, 42, -1, 3, -2, 1, -1] 10 cycle: [[11, 24, -30], [-30, 36, 5], [5, 34, -37], [-37, 40, 2], [2, 40, -37], [-37, 34, 5], [5, 36, -30], [-30, 24, 11], [11, 42, -3], [-3, 42, 11]] (m)c.f.e: [-1, 7, -1, 20, -1, 7, -1, 3, -14, 3] 10 cycle: [[-11, 24, 30], [30, 36, -5], [-5, 34, 37], [37, 40, -2], [-2, 40, 37], [37, 34, -5], [-5, 36, 30], [30, 24, -11], [-11, 42, 3], [3, 42, -11]] (m)c.f.e: [1, -7, 1, -20, 1, -7, 1, -3, 14, -3] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 478 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 3, 4, 1, 1, 5, 1, 2, 3, 1, 1, 1, 1, 1, 13, 1, 20, 1, 13, 1, 1, 1, 1, 1, 3, 2, 1, 5, 1, 1, 4, 3, 6, 1, 42] Pell solution, x^2- 478 y^2= 1 : [1617319577991743, 73974475657896] ---------- 36 cycle: [[21, 8, -22], [-22, 36, 7], [7, 34, -27], [-27, 20, 14], [14, 36, -11], [-11, 30, 23], [23, 16, -18], [-18, 20, 21], [21, 22, -17], [-17, 12, 26], [26, 40, -3], [-3, 38, 39], [39, 40, -2], [-2, 40, 39], [39, 38, -3], [-3, 40, 26], [26, 12, -17], [-17, 22, 21], [21, 20, -18], [-18, 16, 23], [23, 30, -11], [-11, 36, 14], [14, 20, -27], [-27, 34, 7], [7, 36, -22], [-22, 8, 21], [21, 34, -9], [-9, 38, 13], [13, 40, -6], [-6, 32, 37], [37, 42, -1], [-1, 42, 37], [37, 32, -6], [-6, 40, 13], [13, 38, -9], [-9, 34, 21]] (m)c.f.e: [-1, 5, -1, 2, -3, 1, -1, 1, -1, 1, -13, 1, -20, 1, -13, 1, -1, 1, -1, 1, -3, 2, -1, 5, -1, 1, -4, 3, -6, 1, -42, 1, -6, 3, -4, 1] 36 cycle: [[-21, 8, 22], [22, 36, -7], [-7, 34, 27], [27, 20, -14], [-14, 36, 11], [11, 30, -23], [-23, 16, 18], [18, 20, -21], [-21, 22, 17], [17, 12, -26], [-26, 40, 3], [3, 38, -39], [-39, 40, 2], [2, 40, -39], [-39, 38, 3], [3, 40, -26], [-26, 12, 17], [17, 22, -21], [-21, 20, 18], [18, 16, -23], [-23, 30, 11], [11, 36, -14], [-14, 20, 27], [27, 34, -7], [-7, 36, 22], [22, 8, -21], [-21, 34, 9], [9, 38, -13], [-13, 40, 6], [6, 32, -37], [-37, 42, 1], [1, 42, -37], [-37, 32, 6], [6, 40, -13], [-13, 38, 9], [9, 34, -21]] (m)c.f.e: [1, -5, 1, -2, 3, -1, 1, -1, 1, -1, 13, -1, 20, -1, 13, -1, 1, -1, 1, -1, 3, -2, 1, -5, 1, -1, 4, -3, 6, -1, 42, -1, 6, -3, 4, -1] number of reduced forms: 72 partition: [36, 36] ============================== d: 479 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 1, 3, 2, 21, 2, 3, 1, 7, 1, 42] Pell solution, x^2- 479 y^2= 1 : [2989440, 136591] ---------- 12 cycle: [[10, 26, -31], [-31, 36, 5], [5, 34, -38], [-38, 42, 1], [1, 42, -38], [-38, 34, 5], [5, 36, -31], [-31, 26, 10], [10, 34, -19], [-19, 42, 2], [2, 42, -19], [-19, 34, 10]] (m)c.f.e: [-1, 7, -1, 42, -1, 7, -1, 3, -2, 21, -2, 3] 12 cycle: [[-10, 26, 31], [31, 36, -5], [-5, 34, 38], [38, 42, -1], [-1, 42, 38], [38, 34, -5], [-5, 36, 31], [31, 26, -10], [-10, 34, 19], [19, 42, -2], [-2, 42, 19], [19, 34, -10]] (m)c.f.e: [1, -7, 1, -42, 1, -7, 1, -3, 2, -21, 2, -3] number of reduced forms: 24 partition: [12, 12] ============================== d: 481 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42] Pell solution, x^2- 481 y^2= -1 : [964140, 43961] ---------- 30 cycle: [[9, 7, -12], [-12, 17, 4], [4, 15, -16], [-16, 17, 3], [3, 19, -10], [-10, 21, 1], [1, 21, -10], [-10, 19, 3], [3, 17, -16], [-16, 15, 4], [4, 17, -12], [-12, 7, 9], [9, 11, -10], [-10, 9, 10], [10, 11, -9], [-9, 7, 12], [12, 17, -4], [-4, 15, 16], [16, 17, -3], [-3, 19, 10], [10, 21, -1], [-1, 21, 10], [10, 19, -3], [-3, 17, 16], [16, 15, -4], [-4, 17, 12], [12, 7, -9], [-9, 11, 10], [10, 9, -10], [-10, 11, 9]] (m)c.f.e: [-1, 4, -1, 6, -2, 21, -2, 6, -1, 4, -1, 1, -1, 1, -1, 1, -4, 1, -6, 2, -21, 2, -6, 1, -4, 1, -1, 1, -1, 1] 26 cycle: [[6, 11, -15], [-15, 19, 2], [2, 21, -5], [-5, 19, 6], [6, 17, -8], [-8, 15, 8], [8, 17, -6], [-6, 19, 5], [5, 21, -2], [-2, 19, 15], [15, 11, -6], [-6, 13, 13], [13, 13, -6], [-6, 11, 15], [15, 19, -2], [-2, 21, 5], [5, 19, -6], [-6, 17, 8], [8, 15, -8], [-8, 17, 6], [6, 19, -5], [-5, 21, 2], [2, 19, -15], [-15, 11, 6], [6, 13, -13], [-13, 13, 6]] (m)c.f.e: [-1, 10, -4, 3, -2, 2, -3, 4, -10, 1, -2, 1, -2, 1, -10, 4, -3, 2, -2, 3, -4, 10, -1, 2, -1, 2] number of reduced forms: 56 partition: [26, 30] ============================== d: 482 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 20, 1, 42] Pell solution, x^2- 482 y^2= 1 : [483, 22] ---------- 10 cycle: [[19, 16, -22], [-22, 28, 13], [13, 24, -26], [-26, 28, 11], [11, 38, -11], [-11, 28, 26], [26, 24, -13], [-13, 28, 22], [22, 16, -19], [-19, 22, 19]] (m)c.f.e: [-1, 2, -1, 3, -3, 1, -2, 1, -1, 1] 10 cycle: [[-19, 16, 22], [22, 28, -13], [-13, 24, 26], [26, 28, -11], [-11, 38, 11], [11, 28, -26], [-26, 24, 13], [13, 28, -22], [-22, 16, 19], [19, 22, -19]] (m)c.f.e: [1, -2, 1, -3, 3, -1, 2, -1, 1, -1] 4 cycle: [[2, 40, -41], [-41, 42, 1], [1, 42, -41], [-41, 40, 2]] (m)c.f.e: [-1, 42, -1, 20] 4 cycle: [[-2, 40, 41], [41, 42, -1], [-1, 42, 41], [41, 40, -2]] (m)c.f.e: [1, -42, 1, -20] number of reduced forms: 28 partition: [4, 4, 10, 10] ============================== d: 483 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 42] Pell solution, x^2- 483 y^2= 1 : [22, 1] ---------- 2 cycle: [[1, 42, -42], [-42, 42, 1]] (m)c.f.e: [-1, 42] 2 cycle: [[-1, 42, 42], [42, 42, -1]] (m)c.f.e: [1, -42] 2 cycle: [[2, 42, -21], [-21, 42, 2]] (m)c.f.e: [-2, 21] 2 cycle: [[-2, 42, 21], [21, 42, -2]] (m)c.f.e: [2, -21] 2 cycle: [[3, 42, -14], [-14, 42, 3]] (m)c.f.e: [-3, 14] 2 cycle: [[-3, 42, 14], [14, 42, -3]] (m)c.f.e: [3, -14] 2 cycle: [[6, 42, -7], [-7, 42, 6]] (m)c.f.e: [-6, 7] 2 cycle: [[-6, 42, 7], [7, 42, -6]] (m)c.f.e: [6, -7] number of reduced forms: 16 partition: [2, 2, 2, 2, 2, 2, 2, 2] ============================== d: 485 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [44] Pell solution, x^2- 485 y^2= -1 : [22, 1] ---------- 6 cycle: [[11, 1, -11], [-11, 21, 1], [1, 21, -11], [-11, 1, 11], [11, 21, -1], [-1, 21, 11]] (m)c.f.e: [-1, 21, -1, 1, -21, 1] 10 cycle: [[7, 11, -13], [-13, 15, 5], [5, 15, -13], [-13, 11, 7], [7, 17, -7], [-7, 11, 13], [13, 15, -5], [-5, 15, 13], [13, 11, -7], [-7, 17, 7]] (m)c.f.e: [-1, 3, -1, 2, -2, 1, -3, 1, -2, 2] number of reduced forms: 16 partition: [6, 10] ============================== d: 487 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [14, 1, 2, 4, 1, 1, 3, 2, 5, 1, 6, 1, 1, 21, 1, 1, 6, 1, 5, 2, 3, 1, 1, 4, 2, 1, 14, 44] Pell solution, x^2- 487 y^2= 1 : [51906073840568, 2352088722477] ---------- 28 cycle: [[21, 4, -23], [-23, 42, 2], [2, 42, -23], [-23, 4, 21], [21, 38, -6], [-6, 34, 33], [33, 32, -7], [-7, 38, 18], [18, 34, -11], [-11, 32, 21], [21, 10, -22], [-22, 34, 9], [9, 38, -14], [-14, 18, 29], [29, 40, -3], [-3, 44, 1], [1, 44, -3], [-3, 40, 29], [29, 18, -14], [-14, 38, 9], [9, 34, -22], [-22, 10, 21], [21, 32, -11], [-11, 34, 18], [18, 38, -7], [-7, 32, 33], [33, 34, -6], [-6, 38, 21]] (m)c.f.e: [-1, 21, -1, 1, -6, 1, -5, 2, -3, 1, -1, 4, -2, 1, -14, 44, -14, 1, -2, 4, -1, 1, -3, 2, -5, 1, -6, 1] 28 cycle: [[-21, 4, 23], [23, 42, -2], [-2, 42, 23], [23, 4, -21], [-21, 38, 6], [6, 34, -33], [-33, 32, 7], [7, 38, -18], [-18, 34, 11], [11, 32, -21], [-21, 10, 22], [22, 34, -9], [-9, 38, 14], [14, 18, -29], [-29, 40, 3], [3, 44, -1], [-1, 44, 3], [3, 40, -29], [-29, 18, 14], [14, 38, -9], [-9, 34, 22], [22, 10, -21], [-21, 32, 11], [11, 34, -18], [-18, 38, 7], [7, 32, -33], [-33, 34, 6], [6, 38, -21]] (m)c.f.e: [1, -21, 1, -1, 6, -1, 5, -2, 3, -1, 1, -4, 2, -1, 14, -44, 14, -1, 2, -4, 1, -1, 3, -2, 5, -1, 6, -1] number of reduced forms: 56 partition: [28, 28] ============================== d: 489 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 1, 4, 1, 1, 1, 3, 2, 1, 2, 14, 2, 1, 2, 3, 1, 1, 1, 4, 1, 8, 44] Pell solution, x^2- 489 y^2= 1 : [7592629975, 343350596] ---------- 22 cycle: [[10, 3, -12], [-12, 21, 1], [1, 21, -12], [-12, 3, 10], [10, 17, -5], [-5, 13, 16], [16, 19, -2], [-2, 21, 6], [6, 15, -11], [-11, 7, 10], [10, 13, -8], [-8, 19, 4], [4, 21, -3], [-3, 21, 4], [4, 19, -8], [-8, 13, 10], [10, 7, -11], [-11, 15, 6], [6, 21, -2], [-2, 19, 16], [16, 13, -5], [-5, 17, 10]] (m)c.f.e: [-1, 21, -1, 1, -3, 1, -10, 3, -1, 1, -2, 5, -7, 5, -2, 1, -1, 3, -10, 1, -3, 1] 22 cycle: [[-10, 3, 12], [12, 21, -1], [-1, 21, 12], [12, 3, -10], [-10, 17, 5], [5, 13, -16], [-16, 19, 2], [2, 21, -6], [-6, 15, 11], [11, 7, -10], [-10, 13, 8], [8, 19, -4], [-4, 21, 3], [3, 21, -4], [-4, 19, 8], [8, 13, -10], [-10, 7, 11], [11, 15, -6], [-6, 21, 2], [2, 19, -16], [-16, 13, 5], [5, 17, -10]] (m)c.f.e: [1, -21, 1, -1, 3, -1, 10, -3, 1, -1, 2, -5, 7, -5, 2, -1, 1, -3, 10, -1, 3, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 491 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 3, 4, 8, 1, 1, 1, 2, 1, 1, 21, 1, 1, 2, 1, 1, 1, 8, 4, 3, 6, 44] Pell solution, x^2- 491 y^2= 1 : [93628044170, 4225374483] ---------- 22 cycle: [[19, 8, -25], [-25, 42, 2], [2, 42, -25], [-25, 8, 19], [19, 30, -14], [-14, 26, 23], [23, 20, -17], [-17, 14, 26], [26, 38, -5], [-5, 42, 10], [10, 38, -13], [-13, 40, 7], [7, 44, -1], [-1, 44, 7], [7, 40, -13], [-13, 38, 10], [10, 42, -5], [-5, 38, 26], [26, 14, -17], [-17, 20, 23], [23, 26, -14], [-14, 30, 19]] (m)c.f.e: [-1, 21, -1, 1, -2, 1, -1, 1, -8, 4, -3, 6, -44, 6, -3, 4, -8, 1, -1, 1, -2, 1] 22 cycle: [[-19, 8, 25], [25, 42, -2], [-2, 42, 25], [25, 8, -19], [-19, 30, 14], [14, 26, -23], [-23, 20, 17], [17, 14, -26], [-26, 38, 5], [5, 42, -10], [-10, 38, 13], [13, 40, -7], [-7, 44, 1], [1, 44, -7], [-7, 40, 13], [13, 38, -10], [-10, 42, 5], [5, 38, -26], [-26, 14, 17], [17, 20, -23], [-23, 26, 14], [14, 30, -19]] (m)c.f.e: [1, -21, 1, -1, 2, -1, 1, -1, 8, -4, 3, -6, 44, -6, 3, -4, 8, -1, 1, -1, 2, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 493 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 10, 3, 3, 10, 1, 4, 44] Pell solution, x^2- 493 y^2= -1 : [683982, 30805] ---------- 10 cycle: [[11, 3, -11], [-11, 19, 3], [3, 17, -17], [-17, 17, 3], [3, 19, -11], [-11, 3, 11], [11, 19, -3], [-3, 17, 17], [17, 17, -3], [-3, 19, 11]] (m)c.f.e: [-1, 6, -1, 6, -1, 1, -6, 1, -6, 1] 10 cycle: [[9, 5, -13], [-13, 21, 1], [1, 21, -13], [-13, 5, 9], [9, 13, -9], [-9, 5, 13], [13, 21, -1], [-1, 21, 13], [13, 5, -9], [-9, 13, 9]] (m)c.f.e: [-1, 21, -1, 1, -1, 1, -21, 1, -1, 1] number of reduced forms: 20 partition: [10, 10] ============================== d: 494 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 2, 2, 1, 2, 1, 2, 2, 4, 44] Pell solution, x^2- 494 y^2= 1 : [73035, 3286] ---------- 10 cycle: [[14, 24, -25], [-25, 26, 13], [13, 26, -25], [-25, 24, 14], [14, 32, -17], [-17, 36, 10], [10, 44, -1], [-1, 44, 10], [10, 36, -17], [-17, 32, 14]] (m)c.f.e: [-1, 2, -1, 2, -2, 4, -44, 4, -2, 2] 10 cycle: [[-14, 24, 25], [25, 26, -13], [-13, 26, 25], [25, 24, -14], [-14, 32, 17], [17, 36, -10], [-10, 44, 1], [1, 44, -10], [-10, 36, 17], [17, 32, -14]] (m)c.f.e: [1, -2, 1, -2, 2, -4, 44, -4, 2, -2] 8 cycle: [[7, 32, -34], [-34, 36, 5], [5, 44, -2], [-2, 44, 5], [5, 36, -34], [-34, 32, 7], [7, 38, -19], [-19, 38, 7]] (m)c.f.e: [-1, 8, -22, 8, -1, 5, -2, 5] 8 cycle: [[-7, 32, 34], [34, 36, -5], [-5, 44, 2], [2, 44, -5], [-5, 36, 34], [34, 32, -7], [-7, 38, 19], [19, 38, -7]] (m)c.f.e: [1, -8, 22, -8, 1, -5, 2, -5] number of reduced forms: 36 partition: [8, 8, 10, 10] ============================== d: 497 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 2, 5, 6, 5, 2, 2, 3, 44] Pell solution, x^2- 497 y^2= 1 : [1201887, 53912] ---------- 14 cycle: [[8, 7, -14], [-14, 21, 1], [1, 21, -14], [-14, 7, 8], [8, 9, -13], [-13, 17, 4], [4, 15, -17], [-17, 19, 2], [2, 21, -7], [-7, 21, 2], [2, 19, -17], [-17, 15, 4], [4, 17, -13], [-13, 9, 8]] (m)c.f.e: [-1, 21, -1, 1, -1, 4, -1, 10, -3, 10, -1, 4, -1, 1] 14 cycle: [[-8, 7, 14], [14, 21, -1], [-1, 21, 14], [14, 7, -8], [-8, 9, 13], [13, 17, -4], [-4, 15, 17], [17, 19, -2], [-2, 21, 7], [7, 21, -2], [-2, 19, 17], [17, 15, -4], [-4, 17, 13], [13, 9, -8]] (m)c.f.e: [1, -21, 1, -1, 1, -4, 1, -10, 3, -10, 1, -4, 1, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 498 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 6, 22, 6, 3, 44] Pell solution, x^2- 498 y^2= 1 : [179777, 8056] ---------- 14 cycle: [[21, 12, -22], [-22, 32, 11], [11, 34, -19], [-19, 42, 3], [3, 42, -19], [-19, 34, 11], [11, 32, -22], [-22, 12, 21], [21, 30, -13], [-13, 22, 29], [29, 36, -6], [-6, 36, 29], [29, 22, -13], [-13, 30, 21]] (m)c.f.e: [-1, 3, -2, 14, -2, 3, -1, 1, -2, 1, -6, 1, -2, 1] 14 cycle: [[-21, 12, 22], [22, 32, -11], [-11, 34, 19], [19, 42, -3], [-3, 42, 19], [19, 34, -11], [-11, 32, 22], [22, 12, -21], [-21, 30, 13], [13, 22, -29], [-29, 36, 6], [6, 36, -29], [-29, 22, 13], [13, 30, -21]] (m)c.f.e: [1, -3, 2, -14, 2, -3, 1, -1, 2, -1, 6, -1, 2, -1] 6 cycle: [[7, 40, -14], [-14, 44, 1], [1, 44, -14], [-14, 40, 7], [7, 44, -2], [-2, 44, 7]] (m)c.f.e: [-3, 44, -3, 6, -22, 6] 6 cycle: [[-7, 40, 14], [14, 44, -1], [-1, 44, 14], [14, 40, -7], [-7, 44, 2], [2, 44, -7]] (m)c.f.e: [3, -44, 3, -6, 22, -6] number of reduced forms: 40 partition: [6, 6, 14, 14] ============================== d: 499 number of cycles (narrow class number): 10 class number: 5 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 21, 1, 2, 44] Pell solution, x^2- 499 y^2= 1 : [4490, 201] ---------- 8 cycle: [[21, 8, -23], [-23, 38, 6], [6, 34, -35], [-35, 36, 5], [5, 44, -3], [-3, 40, 33], [33, 26, -10], [-10, 34, 21]] (m)c.f.e: [-1, 6, -1, 8, -14, 1, -3, 1] 8 cycle: [[-21, 8, 23], [23, 38, -6], [-6, 34, 35], [35, 36, -5], [-5, 44, 3], [3, 40, -33], [-33, 26, 10], [10, 34, -21]] (m)c.f.e: [1, -6, 1, -8, 14, -1, 3, -1] 8 cycle: [[23, 8, -21], [-21, 34, 10], [10, 26, -33], [-33, 40, 3], [3, 44, -5], [-5, 36, 35], [35, 34, -6], [-6, 38, 23]] (m)c.f.e: [-1, 3, -1, 14, -8, 1, -6, 1] 8 cycle: [[-23, 8, 21], [21, 34, -10], [-10, 26, 33], [33, 40, -3], [-3, 44, 5], [5, 36, -35], [-35, 34, 6], [6, 38, -23]] (m)c.f.e: [1, -3, 1, -14, 8, -1, 6, -1] 12 cycle: [[18, 14, -25], [-25, 36, 7], [7, 34, -30], [-30, 26, 11], [11, 40, -9], [-9, 32, 27], [27, 22, -14], [-14, 34, 15], [15, 26, -22], [-22, 18, 19], [19, 20, -21], [-21, 22, 18]] (m)c.f.e: [-1, 5, -1, 3, -4, 1, -2, 2, -1, 1, -1, 1] 12 cycle: [[-18, 14, 25], [25, 36, -7], [-7, 34, 30], [30, 26, -11], [-11, 40, 9], [9, 32, -27], [-27, 22, 14], [14, 34, -15], [-15, 26, 22], [22, 18, -19], [-19, 20, 21], [21, 22, -18]] (m)c.f.e: [1, -5, 1, -3, 4, -1, 2, -2, 1, -1, 1, -1] 12 cycle: [[25, 14, -18], [-18, 22, 21], [21, 20, -19], [-19, 18, 22], [22, 26, -15], [-15, 34, 14], [14, 22, -27], [-27, 32, 9], [9, 40, -11], [-11, 26, 30], [30, 34, -7], [-7, 36, 25]] (m)c.f.e: [-1, 1, -1, 1, -2, 2, -1, 4, -3, 1, -5, 1] 12 cycle: [[-25, 14, 18], [18, 22, -21], [-21, 20, 19], [19, 18, -22], [-22, 26, 15], [15, 34, -14], [-14, 22, 27], [27, 32, -9], [-9, 40, 11], [11, 26, -30], [-30, 34, 7], [7, 36, -25]] (m)c.f.e: [1, -1, 1, -1, 2, -2, 1, -4, 3, -1, 5, -1] 6 cycle: [[15, 16, -29], [-29, 42, 2], [2, 42, -29], [-29, 16, 15], [15, 44, -1], [-1, 44, 15]] (m)c.f.e: [-1, 21, -1, 2, -44, 2] 6 cycle: [[-15, 16, 29], [29, 42, -2], [-2, 42, 29], [29, 16, -15], [-15, 44, 1], [1, 44, -15]] (m)c.f.e: [1, -21, 1, -2, 44, -2] number of reduced forms: 92 partition: [6, 6, 8, 8, 8, 8, 12, 12, 12, 12] ============================== d: 501 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 1, 1, 3, 8, 1, 2, 10, 1, 5, 2, 14, 2, 5, 1, 10, 2, 1, 8, 3, 1, 1, 1, 1, 2, 44] Pell solution, x^2- 501 y^2= 1 : [11242731902975, 502288218432] ---------- 8 cycle: [[7, 9, -15], [-15, 21, 1], [1, 21, -15], [-15, 9, 7], [7, 19, -5], [-5, 21, 3], [3, 21, -5], [-5, 19, 7]] (m)c.f.e: [-1, 21, -1, 2, -4, 7, -4, 2] 8 cycle: [[-7, 9, 15], [15, 21, -1], [-1, 21, 15], [15, 9, -7], [-7, 19, 5], [5, 21, -3], [-3, 21, 5], [5, 19, -7]] (m)c.f.e: [1, -21, 1, -2, 4, -7, 4, -2] number of reduced forms: 16 partition: [8, 8] ============================== d: 502 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 7, 14, 1, 4, 22, 4, 1, 14, 7, 2, 2, 44] Pell solution, x^2- 502 y^2= 1 : [3832352837, 171046278] ---------- 14 cycle: [[9, 28, -34], [-34, 40, 3], [3, 44, -6], [-6, 40, 17], [17, 28, -18], [-18, 44, 1], [1, 44, -18], [-18, 28, 17], [17, 40, -6], [-6, 44, 3], [3, 40, -34], [-34, 28, 9], [9, 44, -2], [-2, 44, 9]] (m)c.f.e: [-1, 14, -7, 2, -2, 44, -2, 2, -7, 14, -1, 4, -22, 4] 14 cycle: [[-9, 28, 34], [34, 40, -3], [-3, 44, 6], [6, 40, -17], [-17, 28, 18], [18, 44, -1], [-1, 44, 18], [18, 28, -17], [-17, 40, 6], [6, 44, -3], [-3, 40, 34], [34, 28, -9], [-9, 44, 2], [2, 44, -9]] (m)c.f.e: [1, -14, 7, -2, 2, -44, 2, -2, 7, -14, 1, -4, 22, -4] number of reduced forms: 28 partition: [14, 14] ============================== d: 503 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 1, 21, 1, 2, 2, 44] Pell solution, x^2- 503 y^2= 1 : [24648, 1099] ---------- 8 cycle: [[13, 20, -31], [-31, 42, 2], [2, 42, -31], [-31, 20, 13], [13, 32, -19], [-19, 44, 1], [1, 44, -19], [-19, 32, 13]] (m)c.f.e: [-1, 21, -1, 2, -2, 44, -2, 2] 8 cycle: [[-13, 20, 31], [31, 42, -2], [-2, 42, 31], [31, 20, -13], [-13, 32, 19], [19, 44, -1], [-1, 44, 19], [19, 32, -13]] (m)c.f.e: [1, -21, 1, -2, 2, -44, 2, -2] number of reduced forms: 16 partition: [8, 8] ============================== d: 505 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 8, 2, 44] Pell solution, x^2- 505 y^2= 1 : [809, 36] ---------- 8 cycle: [[10, 5, -12], [-12, 19, 3], [3, 17, -18], [-18, 19, 2], [2, 21, -8], [-8, 11, 12], [12, 13, -7], [-7, 15, 10]] (m)c.f.e: [-1, 6, -1, 10, -2, 1, -2, 1] 8 cycle: [[-10, 5, 12], [12, 19, -3], [-3, 17, 18], [18, 19, -2], [-2, 21, 8], [8, 11, -12], [-12, 13, 7], [7, 15, -10]] (m)c.f.e: [1, -6, 1, -10, 2, -1, 2, -1] 8 cycle: [[12, 5, -10], [-10, 15, 7], [7, 13, -12], [-12, 11, 8], [8, 21, -2], [-2, 19, 18], [18, 17, -3], [-3, 19, 12]] (m)c.f.e: [-1, 2, -1, 2, -10, 1, -6, 1] 8 cycle: [[-12, 5, 10], [10, 15, -7], [-7, 13, 12], [12, 11, -8], [-8, 21, 2], [2, 19, -18], [-18, 17, 3], [3, 19, -12]] (m)c.f.e: [1, -2, 1, -2, 10, -1, 6, -1] 8 cycle: [[6, 11, -16], [-16, 21, 1], [1, 21, -16], [-16, 11, 6], [6, 13, -14], [-14, 15, 5], [5, 15, -14], [-14, 13, 6]] (m)c.f.e: [-1, 21, -1, 2, -1, 3, -1, 2] 8 cycle: [[-6, 11, 16], [16, 21, -1], [-1, 21, 16], [16, 11, -6], [-6, 13, 14], [14, 15, -5], [-5, 15, 14], [14, 13, -6]] (m)c.f.e: [1, -21, 1, -2, 1, -3, 1, -2] 6 cycle: [[6, 17, -9], [-9, 19, 4], [4, 21, -4], [-4, 19, 9], [9, 17, -6], [-6, 19, 6]] (m)c.f.e: [-2, 5, -5, 2, -3, 3] 6 cycle: [[-6, 17, 9], [9, 19, -4], [-4, 21, 4], [4, 19, -9], [-9, 17, 6], [6, 19, -6]] (m)c.f.e: [2, -5, 5, -2, 3, -3] number of reduced forms: 60 partition: [6, 6, 8, 8, 8, 8, 8, 8] ============================== d: 506 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 44] Pell solution, x^2- 506 y^2= 1 : [45, 2] ---------- 6 cycle: [[17, 16, -26], [-26, 36, 7], [7, 34, -31], [-31, 28, 10], [10, 32, -25], [-25, 18, 17]] (m)c.f.e: [-1, 5, -1, 3, -1, 1] 6 cycle: [[-17, 16, 26], [26, 36, -7], [-7, 34, 31], [31, 28, -10], [-10, 32, 25], [25, 18, -17]] (m)c.f.e: [1, -5, 1, -3, 1, -1] 6 cycle: [[26, 16, -17], [-17, 18, 25], [25, 32, -10], [-10, 28, 31], [31, 34, -7], [-7, 36, 26]] (m)c.f.e: [-1, 1, -3, 1, -5, 1] 6 cycle: [[-26, 16, 17], [17, 18, -25], [-25, 32, 10], [10, 28, -31], [-31, 34, 7], [7, 36, -26]] (m)c.f.e: [1, -1, 3, -1, 5, -1] 4 cycle: [[14, 20, -29], [-29, 38, 5], [5, 42, -13], [-13, 36, 14]] (m)c.f.e: [-1, 8, -3, 2] 4 cycle: [[-14, 20, 29], [29, 38, -5], [-5, 42, 13], [13, 36, -14]] (m)c.f.e: [1, -8, 3, -2] 4 cycle: [[29, 20, -14], [-14, 36, 13], [13, 42, -5], [-5, 38, 29]] (m)c.f.e: [-2, 3, -8, 1] 4 cycle: [[-29, 20, 14], [14, 36, -13], [-13, 42, 5], [5, 38, -29]] (m)c.f.e: [2, -3, 8, -1] 2 cycle: [[1, 44, -22], [-22, 44, 1]] (m)c.f.e: [-2, 44] 2 cycle: [[-1, 44, 22], [22, 44, -1]] (m)c.f.e: [2, -44] 2 cycle: [[2, 44, -11], [-11, 44, 2]] (m)c.f.e: [-4, 22] 2 cycle: [[-2, 44, 11], [11, 44, -2]] (m)c.f.e: [4, -22] number of reduced forms: 48 partition: [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 509 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 1, 1, 2, 10, 1, 8, 8, 1, 10, 2, 1, 1, 3, 1, 1, 44] Pell solution, x^2- 509 y^2= -1 : [395727950, 17540333] ---------- 14 cycle: [[11, 5, -11], [-11, 17, 5], [5, 13, -17], [-17, 21, 1], [1, 21, -17], [-17, 13, 5], [5, 17, -11], [-11, 5, 11], [11, 17, -5], [-5, 13, 17], [17, 21, -1], [-1, 21, 17], [17, 13, -5], [-5, 17, 11]] (m)c.f.e: [-1, 3, -1, 21, -1, 3, -1, 1, -3, 1, -21, 1, -3, 1] number of reduced forms: 14 partition: [14] ============================== d: 510 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 1, 44] Pell solution, x^2- 510 y^2= 1 : [271, 12] ---------- 6 cycle: [[22, 4, -23], [-23, 42, 3], [3, 42, -23], [-23, 4, 22], [22, 40, -5], [-5, 40, 22]] (m)c.f.e: [-1, 14, -1, 1, -8, 1] 6 cycle: [[-22, 4, 23], [23, 42, -3], [-3, 42, 23], [23, 4, -22], [-22, 40, 5], [5, 40, -22]] (m)c.f.e: [1, -14, 1, -1, 8, -1] 6 cycle: [[19, 8, -26], [-26, 44, 1], [1, 44, -26], [-26, 8, 19], [19, 30, -15], [-15, 30, 19]] (m)c.f.e: [-1, 44, -1, 1, -2, 1] 6 cycle: [[-19, 8, 26], [26, 44, -1], [-1, 44, 26], [26, 8, -19], [-19, 30, 15], [15, 30, -19]] (m)c.f.e: [1, -44, 1, -1, 2, -1] 6 cycle: [[11, 26, -31], [-31, 36, 6], [6, 36, -31], [-31, 26, 11], [11, 40, -10], [-10, 40, 11]] (m)c.f.e: [-1, 6, -1, 3, -4, 3] 6 cycle: [[-11, 26, 31], [31, 36, -6], [-6, 36, 31], [31, 26, -11], [-11, 40, 10], [10, 40, -11]] (m)c.f.e: [1, -6, 1, -3, 4, -3] 4 cycle: [[13, 34, -17], [-17, 34, 13], [13, 44, -2], [-2, 44, 13]] (m)c.f.e: [-2, 3, -22, 3] 4 cycle: [[-13, 34, 17], [17, 34, -13], [-13, 44, 2], [2, 44, -13]] (m)c.f.e: [2, -3, 22, -3] number of reduced forms: 44 partition: [4, 4, 6, 6, 6, 6, 6, 6] ============================== d: 511 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 6, 1, 14, 4, 1, 21, 1, 4, 14, 1, 6, 1, 1, 1, 1, 44] Pell solution, x^2- 511 y^2= 1 : [4188548960, 185290497] ---------- 20 cycle: [[18, 10, -27], [-27, 44, 1], [1, 44, -27], [-27, 10, 18], [18, 26, -19], [-19, 12, 25], [25, 38, -6], [-6, 34, 37], [37, 40, -3], [-3, 44, 9], [9, 28, -35], [-35, 42, 2], [2, 42, -35], [-35, 28, 9], [9, 44, -3], [-3, 40, 37], [37, 34, -6], [-6, 38, 25], [25, 12, -19], [-19, 26, 18]] (m)c.f.e: [-1, 44, -1, 1, -1, 1, -6, 1, -14, 4, -1, 21, -1, 4, -14, 1, -6, 1, -1, 1] 20 cycle: [[-18, 10, 27], [27, 44, -1], [-1, 44, 27], [27, 10, -18], [-18, 26, 19], [19, 12, -25], [-25, 38, 6], [6, 34, -37], [-37, 40, 3], [3, 44, -9], [-9, 28, 35], [35, 42, -2], [-2, 42, 35], [35, 28, -9], [-9, 44, 3], [3, 40, -37], [-37, 34, 6], [6, 38, -25], [-25, 12, 19], [19, 26, -18]] (m)c.f.e: [1, -44, 1, -1, 1, -1, 6, -1, 14, -4, 1, -21, 1, -4, 14, -1, 6, -1, 1, -1] 24 cycle: [[21, 14, -22], [-22, 30, 13], [13, 22, -30], [-30, 38, 5], [5, 42, -14], [-14, 42, 5], [5, 38, -30], [-30, 22, 13], [13, 30, -22], [-22, 14, 21], [21, 28, -15], [-15, 32, 17], [17, 36, -11], [-11, 30, 26], [26, 22, -15], [-15, 38, 10], [10, 42, -7], [-7, 42, 10], [10, 38, -15], [-15, 22, 26], [26, 30, -11], [-11, 36, 17], [17, 32, -15], [-15, 28, 21]] (m)c.f.e: [-1, 2, -1, 8, -3, 8, -1, 2, -1, 1, -2, 2, -3, 1, -2, 4, -6, 4, -2, 1, -3, 2, -2, 1] 24 cycle: [[-21, 14, 22], [22, 30, -13], [-13, 22, 30], [30, 38, -5], [-5, 42, 14], [14, 42, -5], [-5, 38, 30], [30, 22, -13], [-13, 30, 22], [22, 14, -21], [-21, 28, 15], [15, 32, -17], [-17, 36, 11], [11, 30, -26], [-26, 22, 15], [15, 38, -10], [-10, 42, 7], [7, 42, -10], [-10, 38, 15], [15, 22, -26], [-26, 30, 11], [11, 36, -17], [-17, 32, 15], [15, 28, -21]] (m)c.f.e: [1, -2, 1, -8, 3, -8, 1, -2, 1, -1, 2, -2, 3, -1, 2, -4, 6, -4, 2, -1, 3, -2, 2, -1] number of reduced forms: 88 partition: [20, 20, 24, 24] ============================== d: 514 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 22, 2, 1, 44] Pell solution, x^2- 514 y^2= 1 : [4625, 204] ---------- 6 cycle: [[15, 16, -30], [-30, 44, 1], [1, 44, -30], [-30, 16, 15], [15, 44, -2], [-2, 44, 15]] (m)c.f.e: [-1, 44, -1, 2, -22, 2] 6 cycle: [[-15, 16, 30], [30, 44, -1], [-1, 44, 30], [30, 16, -15], [-15, 44, 2], [2, 44, -15]] (m)c.f.e: [1, -44, 1, -2, 22, -2] 12 cycle: [[18, 16, -25], [-25, 34, 9], [9, 38, -17], [-17, 30, 17], [17, 38, -9], [-9, 34, 25], [25, 16, -18], [-18, 20, 23], [23, 26, -15], [-15, 34, 15], [15, 26, -23], [-23, 20, 18]] (m)c.f.e: [-1, 4, -2, 2, -4, 1, -1, 1, -2, 2, -1, 1] 12 cycle: [[-18, 16, 25], [25, 34, -9], [-9, 38, 17], [17, 30, -17], [-17, 38, 9], [9, 34, -25], [-25, 16, 18], [18, 20, -23], [-23, 26, 15], [15, 34, -15], [-15, 26, 23], [23, 20, -18]] (m)c.f.e: [1, -4, 2, -2, 4, -1, 1, -1, 2, -2, 1, -1] 6 cycle: [[5, 36, -38], [-38, 40, 3], [3, 44, -10], [-10, 36, 19], [19, 40, -6], [-6, 44, 5]] (m)c.f.e: [-1, 14, -4, 2, -7, 8] 6 cycle: [[-5, 36, 38], [38, 40, -3], [-3, 44, 10], [10, 36, -19], [-19, 40, 6], [6, 44, -5]] (m)c.f.e: [1, -14, 4, -2, 7, -8] 6 cycle: [[19, 36, -10], [-10, 44, 3], [3, 40, -38], [-38, 36, 5], [5, 44, -6], [-6, 40, 19]] (m)c.f.e: [-4, 14, -1, 8, -7, 2] 6 cycle: [[-19, 36, 10], [10, 44, -3], [-3, 40, 38], [38, 36, -5], [-5, 44, 6], [6, 40, -19]] (m)c.f.e: [4, -14, 1, -8, 7, -2] number of reduced forms: 60 partition: [6, 6, 6, 6, 6, 6, 12, 12] ============================== d: 515 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 3, 1, 3, 1, 3, 2, 1, 44] Pell solution, x^2- 515 y^2= 1 : [17406, 767] ---------- 10 cycle: [[22, 6, -23], [-23, 40, 5], [5, 40, -23], [-23, 6, 22], [22, 38, -7], [-7, 32, 37], [37, 42, -2], [-2, 42, 37], [37, 32, -7], [-7, 38, 22]] (m)c.f.e: [-1, 8, -1, 1, -5, 1, -21, 1, -5, 1] 10 cycle: [[-22, 6, 23], [23, 40, -5], [-5, 40, 23], [23, 6, -22], [-22, 38, 7], [7, 32, -37], [-37, 42, 2], [2, 42, -37], [-37, 32, 7], [7, 38, -22]] (m)c.f.e: [1, -8, 1, -1, 5, -1, 21, -1, 5, -1] 10 cycle: [[14, 18, -31], [-31, 44, 1], [1, 44, -31], [-31, 18, 14], [14, 38, -11], [-11, 28, 29], [29, 30, -10], [-10, 30, 29], [29, 28, -11], [-11, 38, 14]] (m)c.f.e: [-1, 44, -1, 2, -3, 1, -3, 1, -3, 2] 10 cycle: [[-14, 18, 31], [31, 44, -1], [-1, 44, 31], [31, 18, -14], [-14, 38, 11], [11, 28, -29], [-29, 30, 10], [10, 30, -29], [-29, 28, 11], [11, 38, -14]] (m)c.f.e: [1, -44, 1, -2, 3, -1, 3, -1, 3, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 517 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 4, 3, 3, 2, 10, 1, 14, 4, 14, 1, 10, 2, 3, 3, 4, 1, 2, 1, 44] Pell solution, x^2- 517 y^2= 1 : [590968985399, 25990786260] ---------- 10 cycle: [[9, 7, -13], [-13, 19, 3], [3, 17, -19], [-19, 21, 1], [1, 21, -19], [-19, 17, 3], [3, 19, -13], [-13, 7, 9], [9, 11, -11], [-11, 11, 9]] (m)c.f.e: [-1, 6, -1, 21, -1, 6, -1, 1, -1, 1] 10 cycle: [[-9, 7, 13], [13, 19, -3], [-3, 17, 19], [19, 21, -1], [-1, 21, 19], [19, 17, -3], [-3, 19, 13], [13, 7, -9], [-9, 11, 11], [11, 11, -9]] (m)c.f.e: [1, -6, 1, -21, 1, -6, 1, -1, 1, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 518 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 6, 3, 1, 44] Pell solution, x^2- 518 y^2= 1 : [2367, 104] ---------- 10 cycle: [[19, 18, -23], [-23, 28, 14], [14, 28, -23], [-23, 18, 19], [19, 20, -22], [-22, 24, 17], [17, 44, -2], [-2, 44, 17], [17, 24, -22], [-22, 20, 19]] (m)c.f.e: [-1, 2, -1, 1, -1, 2, -22, 2, -1, 1] 10 cycle: [[-19, 18, 23], [23, 28, -14], [-14, 28, 23], [23, 18, -19], [-19, 20, 22], [22, 24, -17], [-17, 44, 2], [2, 44, -17], [-17, 24, 22], [22, 20, -19]] (m)c.f.e: [1, -2, 1, -1, 1, -2, 22, -2, 1, -1] 6 cycle: [[11, 24, -34], [-34, 44, 1], [1, 44, -34], [-34, 24, 11], [11, 42, -7], [-7, 42, 11]] (m)c.f.e: [-1, 44, -1, 3, -6, 3] 6 cycle: [[-11, 24, 34], [34, 44, -1], [-1, 44, 34], [34, 24, -11], [-11, 42, 7], [7, 42, -11]] (m)c.f.e: [1, -44, 1, -3, 6, -3] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 519 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 1, 2, 1, 2, 3, 7, 3, 2, 1, 2, 1, 1, 3, 1, 44] Pell solution, x^2- 519 y^2= 1 : [14851876, 651925] ---------- 14 cycle: [[19, 10, -26], [-26, 42, 3], [3, 42, -26], [-26, 10, 19], [19, 28, -17], [-17, 40, 7], [7, 44, -5], [-5, 36, 39], [39, 42, -2], [-2, 42, 39], [39, 36, -5], [-5, 44, 7], [7, 40, -17], [-17, 28, 19]] (m)c.f.e: [-1, 14, -1, 1, -2, 6, -8, 1, -21, 1, -8, 6, -2, 1] 14 cycle: [[-19, 10, 26], [26, 42, -3], [-3, 42, 26], [26, 10, -19], [-19, 28, 17], [17, 40, -7], [-7, 44, 5], [5, 36, -39], [-39, 42, 2], [2, 42, -39], [-39, 36, 5], [5, 44, -7], [-7, 40, 17], [17, 28, -19]] (m)c.f.e: [1, -14, 1, -1, 2, -6, 8, -1, 21, -1, 8, -6, 2, -1] 18 cycle: [[21, 12, -23], [-23, 34, 10], [10, 26, -35], [-35, 44, 1], [1, 44, -35], [-35, 26, 10], [10, 34, -23], [-23, 12, 21], [21, 30, -14], [-14, 26, 25], [25, 24, -15], [-15, 36, 13], [13, 42, -6], [-6, 42, 13], [13, 36, -15], [-15, 24, 25], [25, 26, -14], [-14, 30, 21]] (m)c.f.e: [-1, 3, -1, 44, -1, 3, -1, 1, -2, 1, -2, 3, -7, 3, -2, 1, -2, 1] 18 cycle: [[-21, 12, 23], [23, 34, -10], [-10, 26, 35], [35, 44, -1], [-1, 44, 35], [35, 26, -10], [-10, 34, 23], [23, 12, -21], [-21, 30, 14], [14, 26, -25], [-25, 24, 15], [15, 36, -13], [-13, 42, 6], [6, 42, -13], [-13, 36, 15], [15, 24, -25], [-25, 26, 14], [14, 30, -21]] (m)c.f.e: [1, -3, 1, -44, 1, -3, 1, -1, 2, -1, 2, -3, 7, -3, 2, -1, 2, -1] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 521 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 2, 1, 2, 8, 1, 3, 3, 1, 8, 2, 1, 2, 1, 4, 1, 44] Pell solution, x^2- 521 y^2= -1 : [128377240, 5624309] ---------- 34 cycle: [[10, 9, -11], [-11, 13, 8], [8, 19, -5], [-5, 21, 4], [4, 19, -10], [-10, 21, 2], [2, 19, -20], [-20, 21, 1], [1, 21, -20], [-20, 19, 2], [2, 21, -10], [-10, 19, 4], [4, 21, -5], [-5, 19, 8], [8, 13, -11], [-11, 9, 10], [10, 11, -10], [-10, 9, 11], [11, 13, -8], [-8, 19, 5], [5, 21, -4], [-4, 19, 10], [10, 21, -2], [-2, 19, 20], [20, 21, -1], [-1, 21, 20], [20, 19, -2], [-2, 21, 10], [10, 19, -4], [-4, 21, 5], [5, 19, -8], [-8, 13, 11], [11, 9, -10], [-10, 11, 10]] (m)c.f.e: [-1, 2, -4, 5, -2, 10, -1, 21, -1, 10, -2, 5, -4, 2, -1, 1, -1, 1, -2, 4, -5, 2, -10, 1, -21, 1, -10, 2, -5, 4, -2, 1, -1, 1] number of reduced forms: 34 partition: [34] ============================== d: 523 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 1, 1, 4, 2, 3, 14, 1, 21, 1, 14, 3, 2, 4, 1, 1, 1, 6, 1, 44] Pell solution, x^2- 523 y^2= 1 : [81810300626, 3577314675] ---------- 22 cycle: [[17, 16, -27], [-27, 38, 6], [6, 34, -39], [-39, 44, 1], [1, 44, -39], [-39, 34, 6], [6, 38, -27], [-27, 16, 17], [17, 18, -26], [-26, 34, 9], [9, 38, -18], [-18, 34, 13], [13, 44, -3], [-3, 40, 41], [41, 42, -2], [-2, 42, 41], [41, 40, -3], [-3, 44, 13], [13, 34, -18], [-18, 38, 9], [9, 34, -26], [-26, 18, 17]] (m)c.f.e: [-1, 6, -1, 44, -1, 6, -1, 1, -1, 4, -2, 3, -14, 1, -21, 1, -14, 3, -2, 4, -1, 1] 22 cycle: [[-17, 16, 27], [27, 38, -6], [-6, 34, 39], [39, 44, -1], [-1, 44, 39], [39, 34, -6], [-6, 38, 27], [27, 16, -17], [-17, 18, 26], [26, 34, -9], [-9, 38, 18], [18, 34, -13], [-13, 44, 3], [3, 40, -41], [-41, 42, 2], [2, 42, -41], [-41, 40, 3], [3, 44, -13], [-13, 34, 18], [18, 38, -9], [-9, 34, 26], [26, 18, -17]] (m)c.f.e: [1, -6, 1, -44, 1, -6, 1, -1, 1, -4, 2, -3, 14, -1, 21, -1, 14, -3, 2, -4, 1, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 526 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 14, 3, 4, 1, 3, 2, 1, 3, 1, 8, 2, 1, 1, 2, 2, 6, 7, 2, 22, 2, 7, 6, 2, 2, 1, 1, 2, 8, 1, 3, 1, 2, 3, 1, 4, 3, 14, 1, 44] Pell solution, x^2- 526 y^2= 1 : [84056091546952933775, 3665019757324295532] ---------- 40 cycle: [[21, 16, -22], [-22, 28, 15], [15, 32, -18], [-18, 40, 7], [7, 44, -6], [-6, 40, 21], [21, 44, -2], [-2, 44, 21], [21, 40, -6], [-6, 44, 7], [7, 40, -18], [-18, 32, 15], [15, 28, -22], [-22, 16, 21], [21, 26, -17], [-17, 42, 5], [5, 38, -33], [-33, 28, 10], [10, 32, -27], [-27, 22, 15], [15, 38, -11], [-11, 28, 30], [30, 32, -9], [-9, 40, 14], [14, 44, -3], [-3, 40, 42], [42, 44, -1], [-1, 44, 42], [42, 40, -3], [-3, 44, 14], [14, 40, -9], [-9, 32, 30], [30, 28, -11], [-11, 38, 15], [15, 22, -27], [-27, 32, 10], [10, 28, -33], [-33, 38, 5], [5, 42, -17], [-17, 26, 21]] (m)c.f.e: [-1, 2, -2, 6, -7, 2, -22, 2, -7, 6, -2, 2, -1, 1, -2, 8, -1, 3, -1, 2, -3, 1, -4, 3, -14, 1, -44, 1, -14, 3, -4, 1, -3, 2, -1, 3, -1, 8, -2, 1] 40 cycle: [[-21, 16, 22], [22, 28, -15], [-15, 32, 18], [18, 40, -7], [-7, 44, 6], [6, 40, -21], [-21, 44, 2], [2, 44, -21], [-21, 40, 6], [6, 44, -7], [-7, 40, 18], [18, 32, -15], [-15, 28, 22], [22, 16, -21], [-21, 26, 17], [17, 42, -5], [-5, 38, 33], [33, 28, -10], [-10, 32, 27], [27, 22, -15], [-15, 38, 11], [11, 28, -30], [-30, 32, 9], [9, 40, -14], [-14, 44, 3], [3, 40, -42], [-42, 44, 1], [1, 44, -42], [-42, 40, 3], [3, 44, -14], [-14, 40, 9], [9, 32, -30], [-30, 28, 11], [11, 38, -15], [-15, 22, 27], [27, 32, -10], [-10, 28, 33], [33, 38, -5], [-5, 42, 17], [17, 26, -21]] (m)c.f.e: [1, -2, 2, -6, 7, -2, 22, -2, 7, -6, 2, -2, 1, -1, 2, -8, 1, -3, 1, -2, 3, -1, 4, -3, 14, -1, 44, -1, 14, -3, 4, -1, 3, -2, 1, -3, 1, -8, 2, -1] number of reduced forms: 80 partition: [40, 40] ============================== d: 527 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 21, 1, 44] Pell solution, x^2- 527 y^2= 1 : [528, 23] ---------- 8 cycle: [[14, 22, -29], [-29, 36, 7], [7, 34, -34], [-34, 34, 7], [7, 36, -29], [-29, 22, 14], [14, 34, -17], [-17, 34, 14]] (m)c.f.e: [-1, 5, -1, 5, -1, 2, -2, 2] 8 cycle: [[-14, 22, 29], [29, 36, -7], [-7, 34, 34], [34, 34, -7], [-7, 36, 29], [29, 22, -14], [-14, 34, 17], [17, 34, -14]] (m)c.f.e: [1, -5, 1, -5, 1, -2, 2, -2] 4 cycle: [[2, 42, -43], [-43, 44, 1], [1, 44, -43], [-43, 42, 2]] (m)c.f.e: [-1, 44, -1, 21] 4 cycle: [[-2, 42, 43], [43, 44, -1], [-1, 44, 43], [43, 42, -2]] (m)c.f.e: [1, -44, 1, -21] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 530 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [46] Pell solution, x^2- 530 y^2= -1 : [23, 1] ---------- 6 cycle: [[23, 2, -23], [-23, 44, 2], [2, 44, -23], [-23, 2, 23], [23, 44, -2], [-2, 44, 23]] (m)c.f.e: [-1, 22, -1, 1, -22, 1] 10 cycle: [[19, 12, -26], [-26, 40, 5], [5, 40, -26], [-26, 12, 19], [19, 26, -19], [-19, 12, 26], [26, 40, -5], [-5, 40, 26], [26, 12, -19], [-19, 26, 19]] (m)c.f.e: [-1, 8, -1, 1, -1, 1, -8, 1, -1, 1] 6 cycle: [[13, 38, -13], [-13, 40, 10], [10, 40, -13], [-13, 38, 13], [13, 40, -10], [-10, 40, 13]] (m)c.f.e: [-3, 4, -3, 3, -4, 3] 2 cycle: [[1, 46, -1], [-1, 46, 1]] (m)c.f.e: [-46, 46] number of reduced forms: 24 partition: [2, 6, 6, 10] ============================== d: 533 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [11, 1, 1, 11, 46] Pell solution, x^2- 533 y^2= -1 : [6118, 265] ---------- 10 cycle: [[11, 7, -11], [-11, 15, 7], [7, 13, -13], [-13, 13, 7], [7, 15, -11], [-11, 7, 11], [11, 15, -7], [-7, 13, 13], [13, 13, -7], [-7, 15, 11]] (m)c.f.e: [-1, 2, -1, 2, -1, 1, -2, 1, -2, 1] 2 cycle: [[1, 23, -1], [-1, 23, 1]] (m)c.f.e: [-23, 23] number of reduced forms: 12 partition: [2, 10] ============================== d: 534 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [9, 4, 1, 1, 22, 1, 1, 4, 9, 46] Pell solution, x^2- 534 y^2= 1 : [3678725, 159194] ---------- 10 cycle: [[21, 6, -25], [-25, 44, 2], [2, 44, -25], [-25, 6, 21], [21, 36, -10], [-10, 44, 5], [5, 46, -1], [-1, 46, 5], [5, 44, -10], [-10, 36, 21]] (m)c.f.e: [-1, 22, -1, 1, -4, 9, -46, 9, -4, 1] 10 cycle: [[-21, 6, 25], [25, 44, -2], [-2, 44, 25], [25, 6, -21], [-21, 36, 10], [10, 44, -5], [-5, 46, 1], [1, 46, -5], [-5, 44, 10], [10, 36, -21]] (m)c.f.e: [1, -22, 1, -1, 4, -9, 46, -9, 4, -1] 18 cycle: [[14, 20, -31], [-31, 42, 3], [3, 42, -31], [-31, 20, 14], [14, 36, -15], [-15, 24, 26], [26, 28, -13], [-13, 24, 30], [30, 36, -7], [-7, 34, 35], [35, 36, -6], [-6, 36, 35], [35, 34, -7], [-7, 36, 30], [30, 24, -13], [-13, 28, 26], [26, 24, -15], [-15, 36, 14]] (m)c.f.e: [-1, 14, -1, 2, -2, 1, -2, 1, -5, 1, -6, 1, -5, 1, -2, 1, -2, 2] 18 cycle: [[-14, 20, 31], [31, 42, -3], [-3, 42, 31], [31, 20, -14], [-14, 36, 15], [15, 24, -26], [-26, 28, 13], [13, 24, -30], [-30, 36, 7], [7, 34, -35], [-35, 36, 6], [6, 36, -35], [-35, 34, 7], [7, 36, -30], [-30, 24, 13], [13, 28, -26], [-26, 24, 15], [15, 36, -14]] (m)c.f.e: [1, -14, 1, -2, 2, -1, 2, -1, 5, -1, 6, -1, 5, -1, 2, -1, 2, -2] number of reduced forms: 56 partition: [10, 10, 18, 18] ============================== d: 535 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 1, 2, 4, 1, 3, 1, 4, 2, 1, 7, 46] Pell solution, x^2- 535 y^2= 1 : [1618804, 69987] ---------- 12 cycle: [[18, 14, -27], [-27, 40, 5], [5, 40, -27], [-27, 14, 18], [18, 22, -23], [-23, 24, 17], [17, 44, -3], [-3, 46, 2], [2, 46, -3], [-3, 44, 17], [17, 24, -23], [-23, 22, 18]] (m)c.f.e: [-1, 8, -1, 1, -1, 2, -15, 23, -15, 2, -1, 1] 12 cycle: [[-18, 14, 27], [27, 40, -5], [-5, 40, 27], [27, 14, -18], [-18, 22, 23], [23, 24, -17], [-17, 44, 3], [3, 46, -2], [-2, 46, 3], [3, 44, -17], [-17, 24, 23], [23, 22, -18]] (m)c.f.e: [1, -8, 1, -1, 1, -2, 15, -23, 15, -2, 1, -1] 12 cycle: [[15, 20, -29], [-29, 38, 6], [6, 46, -1], [-1, 46, 6], [6, 38, -29], [-29, 20, 15], [15, 40, -9], [-9, 32, 31], [31, 30, -10], [-10, 30, 31], [31, 32, -9], [-9, 40, 15]] (m)c.f.e: [-1, 7, -46, 7, -1, 2, -4, 1, -3, 1, -4, 2] 12 cycle: [[-15, 20, 29], [29, 38, -6], [-6, 46, 1], [1, 46, -6], [-6, 38, 29], [29, 20, -15], [-15, 40, 9], [9, 32, -31], [-31, 30, 10], [10, 30, -31], [-31, 32, 9], [9, 40, -15]] (m)c.f.e: [1, -7, 46, -7, 1, -2, 4, -1, 3, -1, 4, -2] number of reduced forms: 48 partition: [12, 12, 12, 12] ============================== d: 537 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 3, 2, 1, 1, 1, 2, 1, 14, 1, 2, 1, 1, 1, 2, 3, 1, 5, 46] Pell solution, x^2- 537 y^2= 1 : [192349463, 8300492] ---------- 16 cycle: [[11, 3, -12], [-12, 21, 2], [2, 23, -1], [-1, 23, 2], [2, 21, -12], [-12, 3, 11], [11, 19, -4], [-4, 21, 6], [6, 15, -13], [-13, 11, 8], [8, 21, -3], [-3, 21, 8], [8, 11, -13], [-13, 15, 6], [6, 21, -4], [-4, 19, 11]] (m)c.f.e: [-1, 11, -23, 11, -1, 1, -5, 3, -1, 2, -7, 2, -1, 3, -5, 1] 16 cycle: [[-11, 3, 12], [12, 21, -2], [-2, 23, 1], [1, 23, -2], [-2, 21, 12], [12, 3, -11], [-11, 19, 4], [4, 21, -6], [-6, 15, 13], [13, 11, -8], [-8, 21, 3], [3, 21, -8], [-8, 11, 13], [13, 15, -6], [-6, 21, 4], [4, 19, -11]] (m)c.f.e: [1, -11, 23, -11, 1, -1, 5, -3, 1, -2, 7, -2, 1, -3, 5, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 538 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 7, 1, 1, 7, 5, 46] Pell solution, x^2- 538 y^2= -1 : [69051, 2977] ---------- 14 cycle: [[23, 6, -23], [-23, 40, 6], [6, 44, -9], [-9, 46, 1], [1, 46, -9], [-9, 44, 6], [6, 40, -23], [-23, 6, 23], [23, 40, -6], [-6, 44, 9], [9, 46, -1], [-1, 46, 9], [9, 44, -6], [-6, 40, 23]] (m)c.f.e: [-1, 7, -5, 46, -5, 7, -1, 1, -7, 5, -46, 5, -7, 1] 18 cycle: [[19, 10, -27], [-27, 44, 2], [2, 44, -27], [-27, 10, 19], [19, 28, -18], [-18, 44, 3], [3, 46, -3], [-3, 44, 18], [18, 28, -19], [-19, 10, 27], [27, 44, -2], [-2, 44, 27], [27, 10, -19], [-19, 28, 18], [18, 44, -3], [-3, 46, 3], [3, 44, -18], [-18, 28, 19]] (m)c.f.e: [-1, 22, -1, 1, -2, 15, -15, 2, -1, 1, -22, 1, -1, 2, -15, 15, -2, 1] number of reduced forms: 32 partition: [14, 18] ============================== d: 541 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 5, 1, 8, 2, 4, 1, 2, 3, 1, 1, 11, 15, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 15, 11, 1, 1, 3, 2, 1, 4, 2, 8, 1, 5, 1, 3, 46] Pell solution, x^2- 541 y^2= -1 : [1361516316469227450, 58536158470221581] ---------- 22 cycle: [[7, 11, -15], [-15, 19, 3], [3, 23, -1], [-1, 23, 3], [3, 19, -15], [-15, 11, 7], [7, 17, -9], [-9, 19, 5], [5, 21, -5], [-5, 19, 9], [9, 17, -7], [-7, 11, 15], [15, 19, -3], [-3, 23, 1], [1, 23, -3], [-3, 19, 15], [15, 11, -7], [-7, 17, 9], [9, 19, -5], [-5, 21, 5], [5, 19, -9], [-9, 17, 7]] (m)c.f.e: [-1, 7, -23, 7, -1, 2, -2, 4, -4, 2, -2, 1, -7, 23, -7, 1, -2, 2, -4, 4, -2, 2] number of reduced forms: 22 partition: [22] ============================== d: 542 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 3, 1, 1, 1, 22, 1, 1, 1, 3, 1, 1, 3, 46] Pell solution, x^2- 542 y^2= 1 : [4293183, 184408] ---------- 16 cycle: [[22, 12, -23], [-23, 34, 11], [11, 32, -26], [-26, 20, 17], [17, 14, -29], [-29, 44, 2], [2, 44, -29], [-29, 14, 17], [17, 20, -26], [-26, 32, 11], [11, 34, -23], [-23, 12, 22], [22, 32, -13], [-13, 46, 1], [1, 46, -13], [-13, 32, 22]] (m)c.f.e: [-1, 3, -1, 1, -1, 22, -1, 1, -1, 3, -1, 1, -3, 46, -3, 1] 16 cycle: [[-22, 12, 23], [23, 34, -11], [-11, 32, 26], [26, 20, -17], [-17, 14, 29], [29, 44, -2], [-2, 44, 29], [29, 14, -17], [-17, 20, 26], [26, 32, -11], [-11, 34, 23], [23, 12, -22], [-22, 32, 13], [13, 46, -1], [-1, 46, 13], [13, 32, -22]] (m)c.f.e: [1, -3, 1, -1, 1, -22, 1, -1, 1, -3, 1, -1, 3, -46, 3, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 543 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 3, 3, 1, 14, 1, 3, 3, 3, 46] Pell solution, x^2- 543 y^2= 1 : [669337, 28724] ---------- 14 cycle: [[19, 14, -26], [-26, 38, 7], [7, 46, -2], [-2, 46, 7], [7, 38, -26], [-26, 14, 19], [19, 24, -21], [-21, 18, 22], [22, 26, -17], [-17, 42, 6], [6, 42, -17], [-17, 26, 22], [22, 18, -21], [-21, 24, 19]] (m)c.f.e: [-1, 6, -23, 6, -1, 1, -1, 1, -2, 7, -2, 1, -1, 1] 14 cycle: [[-19, 14, 26], [26, 38, -7], [-7, 46, 2], [2, 46, -7], [-7, 38, 26], [26, 14, -19], [-19, 24, 21], [21, 18, -22], [-22, 26, 17], [17, 42, -6], [-6, 42, 17], [17, 26, -22], [-22, 18, 21], [21, 24, -19]] (m)c.f.e: [1, -6, 23, -6, 1, -1, 1, -1, 2, -7, 2, -1, 1, -1] 10 cycle: [[11, 26, -34], [-34, 42, 3], [3, 42, -34], [-34, 26, 11], [11, 40, -13], [-13, 38, 14], [14, 46, -1], [-1, 46, 14], [14, 38, -13], [-13, 40, 11]] (m)c.f.e: [-1, 14, -1, 3, -3, 3, -46, 3, -3, 3] 10 cycle: [[-11, 26, 34], [34, 42, -3], [-3, 42, 34], [34, 26, -11], [-11, 40, 13], [13, 38, -14], [-14, 46, 1], [1, 46, -14], [-14, 38, 13], [13, 40, -11]] (m)c.f.e: [1, -14, 1, -3, 3, -3, 46, -3, 3, -3] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 545 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 8, 1, 2, 46] Pell solution, x^2- 545 y^2= 1 : [1961, 84] ---------- 8 cycle: [[10, 5, -13], [-13, 21, 2], [2, 23, -2], [-2, 21, 13], [13, 5, -10], [-10, 15, 8], [8, 17, -8], [-8, 15, 10]] (m)c.f.e: [-1, 11, -11, 1, -1, 2, -2, 1] 8 cycle: [[-10, 5, 13], [13, 21, -2], [-2, 23, 2], [2, 21, -13], [-13, 5, 10], [10, 15, -8], [-8, 17, 8], [8, 15, -10]] (m)c.f.e: [1, -11, 11, -1, 1, -2, 2, -1] 6 cycle: [[5, 15, -16], [-16, 17, 4], [4, 23, -1], [-1, 23, 4], [4, 17, -16], [-16, 15, 5]] (m)c.f.e: [-1, 5, -23, 5, -1, 3] 6 cycle: [[-5, 15, 16], [16, 17, -4], [-4, 23, 1], [1, 23, -4], [-4, 17, 16], [16, 15, -5]] (m)c.f.e: [1, -5, 23, -5, 1, -3] number of reduced forms: 28 partition: [6, 6, 8, 8] ============================== d: 546 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 2, 1, 2, 46] Pell solution, x^2- 546 y^2= 1 : [701, 30] ---------- 6 cycle: [[15, 18, -31], [-31, 44, 2], [2, 44, -31], [-31, 18, 15], [15, 42, -7], [-7, 42, 15]] (m)c.f.e: [-1, 22, -1, 2, -6, 2] 6 cycle: [[-15, 18, 31], [31, 44, -2], [-2, 44, 31], [31, 18, -15], [-15, 42, 7], [7, 42, -15]] (m)c.f.e: [1, -22, 1, -2, 6, -2] 6 cycle: [[17, 22, -25], [-25, 28, 14], [14, 28, -25], [-25, 22, 17], [17, 46, -1], [-1, 46, 17]] (m)c.f.e: [-1, 2, -1, 2, -46, 2] 6 cycle: [[-17, 22, 25], [25, 28, -14], [-14, 28, 25], [25, 22, -17], [-17, 46, 1], [1, 46, -17]] (m)c.f.e: [1, -2, 1, -2, 46, -2] 8 cycle: [[13, 26, -29], [-29, 32, 10], [10, 28, -35], [-35, 42, 3], [3, 42, -35], [-35, 28, 10], [10, 32, -29], [-29, 26, 13]] (m)c.f.e: [-1, 3, -1, 14, -1, 3, -1, 2] 8 cycle: [[-13, 26, 29], [29, 32, -10], [-10, 28, 35], [35, 42, -3], [-3, 42, 35], [35, 28, -10], [-10, 32, 29], [29, 26, -13]] (m)c.f.e: [1, -3, 1, -14, 1, -3, 1, -2] 6 cycle: [[6, 36, -37], [-37, 38, 5], [5, 42, -21], [-21, 42, 5], [5, 38, -37], [-37, 36, 6]] (m)c.f.e: [-1, 8, -2, 8, -1, 6] 6 cycle: [[-6, 36, 37], [37, 38, -5], [-5, 42, 21], [21, 42, -5], [-5, 38, 37], [37, 36, -6]] (m)c.f.e: [1, -8, 2, -8, 1, -6] number of reduced forms: 52 partition: [6, 6, 6, 6, 6, 6, 8, 8] ============================== d: 547 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 2, 1, 2, 1, 7, 15, 2, 6, 5, 23, 5, 6, 2, 15, 7, 1, 2, 1, 2, 1, 1, 2, 46] Pell solution, x^2- 547 y^2= 1 : [160177601264642, 6848699678673] ---------- 26 cycle: [[21, 16, -23], [-23, 30, 14], [14, 26, -27], [-27, 28, 13], [13, 24, -31], [-31, 38, 6], [6, 46, -3], [-3, 44, 21], [21, 40, -7], [-7, 44, 9], [9, 46, -2], [-2, 46, 9], [9, 44, -7], [-7, 40, 21], [21, 44, -3], [-3, 46, 6], [6, 38, -31], [-31, 24, 13], [13, 28, -27], [-27, 26, 14], [14, 30, -23], [-23, 16, 21], [21, 26, -18], [-18, 46, 1], [1, 46, -18], [-18, 26, 21]] (m)c.f.e: [-1, 2, -1, 2, -1, 7, -15, 2, -6, 5, -23, 5, -6, 2, -15, 7, -1, 2, -1, 2, -1, 1, -2, 46, -2, 1] 26 cycle: [[-21, 16, 23], [23, 30, -14], [-14, 26, 27], [27, 28, -13], [-13, 24, 31], [31, 38, -6], [-6, 46, 3], [3, 44, -21], [-21, 40, 7], [7, 44, -9], [-9, 46, 2], [2, 46, -9], [-9, 44, 7], [7, 40, -21], [-21, 44, 3], [3, 46, -6], [-6, 38, 31], [31, 24, -13], [-13, 28, 27], [27, 26, -14], [-14, 30, 23], [23, 16, -21], [-21, 26, 18], [18, 46, -1], [-1, 46, 18], [18, 26, -21]] (m)c.f.e: [1, -2, 1, -2, 1, -7, 15, -2, 6, -5, 23, -5, 6, -2, 15, -7, 1, -2, 1, -2, 1, -1, 2, -46, 2, -1] number of reduced forms: 52 partition: [26, 26] ============================== d: 551 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 8, 1, 8, 2, 46] Pell solution, x^2- 551 y^2= 1 : [8380, 357] ---------- 6 cycle: [[5, 38, -38], [-38, 38, 5], [5, 42, -22], [-22, 46, 1], [1, 46, -22], [-22, 42, 5]] (m)c.f.e: [-1, 8, -2, 46, -2, 8] 6 cycle: [[-5, 38, 38], [38, 38, -5], [-5, 42, 22], [22, 46, -1], [-1, 46, 22], [22, 42, -5]] (m)c.f.e: [1, -8, 2, -46, 2, -8] 6 cycle: [[10, 38, -19], [-19, 38, 10], [10, 42, -11], [-11, 46, 2], [2, 46, -11], [-11, 42, 10]] (m)c.f.e: [-2, 4, -4, 23, -4, 4] 6 cycle: [[-10, 38, 19], [19, 38, -10], [-10, 42, 11], [11, 46, -2], [-2, 46, 11], [11, 42, -10]] (m)c.f.e: [2, -4, 4, -23, 4, -4] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 553 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 15, 5, 1, 4, 2, 1, 1, 3, 1, 2, 6, 2, 1, 3, 1, 1, 2, 4, 1, 5, 15, 1, 1, 46] Pell solution, x^2- 553 y^2= 1 : [624635837407, 26562217704] ---------- 26 cycle: [[11, 5, -12], [-12, 19, 4], [4, 21, -7], [-7, 21, 4], [4, 19, -12], [-12, 5, 11], [11, 17, -6], [-6, 19, 8], [8, 13, -12], [-12, 11, 9], [9, 7, -14], [-14, 21, 2], [2, 23, -3], [-3, 19, 16], [16, 13, -6], [-6, 23, 1], [1, 23, -6], [-6, 13, 16], [16, 19, -3], [-3, 23, 2], [2, 21, -14], [-14, 7, 9], [9, 11, -12], [-12, 13, 8], [8, 19, -6], [-6, 17, 11]] (m)c.f.e: [-1, 5, -3, 5, -1, 1, -3, 2, -1, 1, -1, 11, -7, 1, -3, 23, -3, 1, -7, 11, -1, 1, -1, 2, -3, 1] 26 cycle: [[-11, 5, 12], [12, 19, -4], [-4, 21, 7], [7, 21, -4], [-4, 19, 12], [12, 5, -11], [-11, 17, 6], [6, 19, -8], [-8, 13, 12], [12, 11, -9], [-9, 7, 14], [14, 21, -2], [-2, 23, 3], [3, 19, -16], [-16, 13, 6], [6, 23, -1], [-1, 23, 6], [6, 13, -16], [-16, 19, 3], [3, 23, -2], [-2, 21, 14], [14, 7, -9], [-9, 11, 12], [12, 13, -8], [-8, 19, 6], [6, 17, -11]] (m)c.f.e: [1, -5, 3, -5, 1, -1, 3, -2, 1, -1, 1, -11, 7, -1, 3, -23, 3, -1, 7, -11, 1, -1, 1, -2, 3, -1] number of reduced forms: 52 partition: [26, 26] ============================== d: 554 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 6, 4, 1, 1, 4, 6, 1, 1, 46] Pell solution, x^2- 554 y^2= -1 : [174293, 7405] ---------- 22 cycle: [[22, 4, -25], [-25, 46, 1], [1, 46, -25], [-25, 4, 22], [22, 40, -7], [-7, 44, 10], [10, 36, -23], [-23, 10, 23], [23, 36, -10], [-10, 44, 7], [7, 40, -22], [-22, 4, 25], [25, 46, -1], [-1, 46, 25], [25, 4, -22], [-22, 40, 7], [7, 44, -10], [-10, 36, 23], [23, 10, -23], [-23, 36, 10], [10, 44, -7], [-7, 40, 22]] (m)c.f.e: [-1, 46, -1, 1, -6, 4, -1, 1, -4, 6, -1, 1, -46, 1, -1, 6, -4, 1, -1, 4, -6, 1] 18 cycle: [[11, 26, -35], [-35, 44, 2], [2, 44, -35], [-35, 26, 11], [11, 40, -14], [-14, 44, 5], [5, 46, -5], [-5, 44, 14], [14, 40, -11], [-11, 26, 35], [35, 44, -2], [-2, 44, 35], [35, 26, -11], [-11, 40, 14], [14, 44, -5], [-5, 46, 5], [5, 44, -14], [-14, 40, 11]] (m)c.f.e: [-1, 22, -1, 3, -3, 9, -9, 3, -3, 1, -22, 1, -3, 3, -9, 9, -3, 3] number of reduced forms: 40 partition: [18, 22] ============================== d: 555 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 1, 3, 1, 1, 46] Pell solution, x^2- 555 y^2= 1 : [1814, 77] ---------- 8 cycle: [[21, 6, -26], [-26, 46, 1], [1, 46, -26], [-26, 6, 21], [21, 36, -11], [-11, 30, 30], [30, 30, -11], [-11, 36, 21]] (m)c.f.e: [-1, 46, -1, 1, -3, 1, -3, 1] 8 cycle: [[-21, 6, 26], [26, 46, -1], [-1, 46, 26], [26, 6, -21], [-21, 36, 11], [11, 30, -30], [-30, 30, 11], [11, 36, -21]] (m)c.f.e: [1, -46, 1, -1, 3, -1, 3, -1] 8 cycle: [[22, 14, -23], [-23, 32, 13], [13, 46, -2], [-2, 46, 13], [13, 32, -23], [-23, 14, 22], [22, 30, -15], [-15, 30, 22]] (m)c.f.e: [-1, 3, -23, 3, -1, 1, -2, 1] 8 cycle: [[-22, 14, 23], [23, 32, -13], [-13, 46, 2], [2, 46, -13], [-13, 32, 23], [23, 14, -22], [-22, 30, 15], [15, 30, -22]] (m)c.f.e: [1, -3, 23, -3, 1, -1, 2, -1] 8 cycle: [[14, 22, -31], [-31, 40, 5], [5, 40, -31], [-31, 22, 14], [14, 34, -19], [-19, 42, 6], [6, 42, -19], [-19, 34, 14]] (m)c.f.e: [-1, 8, -1, 2, -2, 7, -2, 2] 8 cycle: [[-14, 22, 31], [31, 40, -5], [-5, 40, 31], [31, 22, -14], [-14, 34, 19], [19, 42, -6], [-6, 42, 19], [19, 34, -14]] (m)c.f.e: [1, -8, 1, -2, 2, -7, 2, -2] 8 cycle: [[10, 30, -33], [-33, 36, 7], [7, 34, -38], [-38, 42, 3], [3, 42, -38], [-38, 34, 7], [7, 36, -33], [-33, 30, 10]] (m)c.f.e: [-1, 5, -1, 14, -1, 5, -1, 3] 8 cycle: [[-10, 30, 33], [33, 36, -7], [-7, 34, 38], [38, 42, -3], [-3, 42, 38], [38, 34, -7], [-7, 36, 33], [33, 30, -10]] (m)c.f.e: [1, -5, 1, -14, 1, -5, 1, -3] number of reduced forms: 64 partition: [8, 8, 8, 8, 8, 8, 8, 8] ============================== d: 557 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 46] Pell solution, x^2- 557 y^2= -1 : [118, 5] ---------- 6 cycle: [[7, 19, -7], [-7, 23, 1], [1, 23, -7], [-7, 19, 7], [7, 23, -1], [-1, 23, 7]] (m)c.f.e: [-3, 23, -3, 3, -23, 3] number of reduced forms: 6 partition: [6] ============================== d: 559 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4, 15, 1, 1, 4, 1, 2, 1, 4, 1, 1, 15, 4, 1, 1, 1, 46] Pell solution, x^2- 559 y^2= 1 : [506568295, 21425556] ---------- 20 cycle: [[22, 6, -25], [-25, 44, 3], [3, 46, -10], [-10, 34, 27], [27, 20, -17], [-17, 14, 30], [30, 46, -1], [-1, 46, 30], [30, 14, -17], [-17, 20, 27], [27, 34, -10], [-10, 46, 3], [3, 44, -25], [-25, 6, 22], [22, 38, -9], [-9, 34, 30], [30, 26, -13], [-13, 26, 30], [30, 34, -9], [-9, 38, 22]] (m)c.f.e: [-1, 15, -4, 1, -1, 1, -46, 1, -1, 1, -4, 15, -1, 1, -4, 1, -2, 1, -4, 1] 20 cycle: [[-22, 6, 25], [25, 44, -3], [-3, 46, 10], [10, 34, -27], [-27, 20, 17], [17, 14, -30], [-30, 46, 1], [1, 46, -30], [-30, 14, 17], [17, 20, -27], [-27, 34, 10], [10, 46, -3], [-3, 44, 25], [25, 6, -22], [-22, 38, 9], [9, 34, -30], [-30, 26, 13], [13, 26, -30], [-30, 34, 9], [9, 38, -22]] (m)c.f.e: [1, -15, 4, -1, 1, -1, 46, -1, 1, -1, 4, -15, 1, -1, 4, -1, 2, -1, 4, -1] 16 cycle: [[15, 26, -26], [-26, 26, 15], [15, 34, -18], [-18, 38, 11], [11, 28, -33], [-33, 38, 6], [6, 46, -5], [-5, 44, 15], [15, 46, -2], [-2, 46, 15], [15, 44, -5], [-5, 46, 6], [6, 38, -33], [-33, 28, 11], [11, 38, -18], [-18, 34, 15]] (m)c.f.e: [-1, 2, -2, 3, -1, 7, -9, 3, -23, 3, -9, 7, -1, 3, -2, 2] 16 cycle: [[-15, 26, 26], [26, 26, -15], [-15, 34, 18], [18, 38, -11], [-11, 28, 33], [33, 38, -6], [-6, 46, 5], [5, 44, -15], [-15, 46, 2], [2, 46, -15], [-15, 44, 5], [5, 46, -6], [-6, 38, 33], [33, 28, -11], [-11, 38, 18], [18, 34, -15]] (m)c.f.e: [1, -2, 2, -3, 1, -7, 9, -3, 23, -3, 9, -7, 1, -3, 2, -2] number of reduced forms: 72 partition: [16, 16, 20, 20] ============================== d: 561 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 5, 2, 1, 46] Pell solution, x^2- 561 y^2= 1 : [522785, 22072] ---------- 10 cycle: [[8, 9, -15], [-15, 21, 2], [2, 23, -4], [-4, 17, 17], [17, 17, -4], [-4, 23, 2], [2, 21, -15], [-15, 9, 8], [8, 23, -1], [-1, 23, 8]] (m)c.f.e: [-1, 11, -5, 1, -5, 11, -1, 2, -23, 2] 10 cycle: [[-8, 9, 15], [15, 21, -2], [-2, 23, 4], [4, 17, -17], [-17, 17, 4], [4, 23, -2], [-2, 21, 15], [15, 9, -8], [-8, 23, 1], [1, 23, -8]] (m)c.f.e: [1, -11, 5, -1, 5, -11, 1, -2, 23, -2] 16 cycle: [[10, 9, -12], [-12, 15, 7], [7, 13, -14], [-14, 15, 6], [6, 21, -5], [-5, 19, 10], [10, 21, -3], [-3, 21, 10], [10, 19, -5], [-5, 21, 6], [6, 15, -14], [-14, 13, 7], [7, 15, -12], [-12, 9, 10], [10, 11, -11], [-11, 11, 10]] (m)c.f.e: [-1, 2, -1, 3, -4, 2, -7, 2, -4, 3, -1, 2, -1, 1, -1, 1] 16 cycle: [[-10, 9, 12], [12, 15, -7], [-7, 13, 14], [14, 15, -6], [-6, 21, 5], [5, 19, -10], [-10, 21, 3], [3, 21, -10], [-10, 19, 5], [5, 21, -6], [-6, 15, 14], [14, 13, -7], [-7, 15, 12], [12, 9, -10], [-10, 11, 11], [11, 11, -10]] (m)c.f.e: [1, -2, 1, -3, 4, -2, 7, -2, 4, -3, 1, -2, 1, -1, 1, -1] number of reduced forms: 52 partition: [10, 10, 16, 16] ============================== d: 562 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 2, 4, 1, 5, 1, 22, 1, 5, 1, 4, 2, 2, 2, 1, 46] Pell solution, x^2- 562 y^2= 1 : [220938497, 9319728] ---------- 20 cycle: [[21, 8, -26], [-26, 44, 3], [3, 46, -11], [-11, 42, 11], [11, 46, -3], [-3, 44, 26], [26, 8, -21], [-21, 34, 13], [13, 44, -6], [-6, 40, 27], [27, 14, -19], [-19, 24, 22], [22, 20, -21], [-21, 22, 21], [21, 20, -22], [-22, 24, 19], [19, 14, -27], [-27, 40, 6], [6, 44, -13], [-13, 34, 21]] (m)c.f.e: [-1, 15, -4, 4, -15, 1, -1, 3, -7, 1, -1, 1, -1, 1, -1, 1, -1, 7, -3, 1] 20 cycle: [[-21, 8, 26], [26, 44, -3], [-3, 46, 11], [11, 42, -11], [-11, 46, 3], [3, 44, -26], [-26, 8, 21], [21, 34, -13], [-13, 44, 6], [6, 40, -27], [-27, 14, 19], [19, 24, -22], [-22, 20, 21], [21, 22, -21], [-21, 20, 22], [22, 24, -19], [-19, 14, 27], [27, 40, -6], [-6, 44, 13], [13, 34, -21]] (m)c.f.e: [1, -15, 4, -4, 15, -1, 1, -3, 7, -1, 1, -1, 1, -1, 1, -1, 1, -7, 3, -1] 18 cycle: [[14, 20, -33], [-33, 46, 1], [1, 46, -33], [-33, 20, 14], [14, 36, -17], [-17, 32, 18], [18, 40, -9], [-9, 32, 34], [34, 36, -7], [-7, 34, 39], [39, 44, -2], [-2, 44, 39], [39, 34, -7], [-7, 36, 34], [34, 32, -9], [-9, 40, 18], [18, 32, -17], [-17, 36, 14]] (m)c.f.e: [-1, 46, -1, 2, -2, 2, -4, 1, -5, 1, -22, 1, -5, 1, -4, 2, -2, 2] 18 cycle: [[-14, 20, 33], [33, 46, -1], [-1, 46, 33], [33, 20, -14], [-14, 36, 17], [17, 32, -18], [-18, 40, 9], [9, 32, -34], [-34, 36, 7], [7, 34, -39], [-39, 44, 2], [2, 44, -39], [-39, 34, 7], [7, 36, -34], [-34, 32, 9], [9, 40, -18], [-18, 32, 17], [17, 36, -14]] (m)c.f.e: [1, -46, 1, -2, 2, -2, 4, -1, 5, -1, 22, -1, 5, -1, 4, -2, 2, -2] number of reduced forms: 76 partition: [18, 18, 20, 20] ============================== d: 563 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 2, 23, 2, 1, 2, 1, 46] Pell solution, x^2- 563 y^2= 1 : [68122, 2871] ---------- 10 cycle: [[13, 22, -34], [-34, 46, 1], [1, 46, -34], [-34, 22, 13], [13, 30, -26], [-26, 22, 17], [17, 46, -2], [-2, 46, 17], [17, 22, -26], [-26, 30, 13]] (m)c.f.e: [-1, 46, -1, 2, -1, 2, -23, 2, -1, 2] 10 cycle: [[-13, 22, 34], [34, 46, -1], [-1, 46, 34], [34, 22, -13], [-13, 30, 26], [26, 22, -17], [-17, 46, 2], [2, 46, -17], [-17, 22, 26], [26, 30, -13]] (m)c.f.e: [1, -46, 1, -2, 1, -2, 23, -2, 1, -2] number of reduced forms: 20 partition: [10, 10] ============================== d: 565 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 2, 1, 11, 5, 5, 11, 1, 2, 3, 1, 46] Pell solution, x^2- 565 y^2= -1 : [14752278, 620633] ---------- 10 cycle: [[11, 9, -11], [-11, 13, 9], [9, 23, -1], [-1, 23, 9], [9, 13, -11], [-11, 9, 11], [11, 13, -9], [-9, 23, 1], [1, 23, -9], [-9, 13, 11]] (m)c.f.e: [-1, 2, -23, 2, -1, 1, -2, 23, -2, 1] 10 cycle: [[5, 15, -17], [-17, 19, 3], [3, 23, -3], [-3, 19, 17], [17, 15, -5], [-5, 15, 17], [17, 19, -3], [-3, 23, 3], [3, 19, -17], [-17, 15, 5]] (m)c.f.e: [-1, 7, -7, 1, -3, 1, -7, 7, -1, 3] number of reduced forms: 20 partition: [10, 10] ============================== d: 566 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 3, 1, 1, 8, 1, 22, 1, 8, 1, 1, 3, 1, 3, 1, 46] Pell solution, x^2- 566 y^2= 1 : [95609285, 4018758] ---------- 18 cycle: [[22, 8, -25], [-25, 42, 5], [5, 38, -41], [-41, 44, 2], [2, 44, -41], [-41, 38, 5], [5, 42, -25], [-25, 8, 22], [22, 36, -11], [-11, 30, 31], [31, 32, -10], [-10, 28, 37], [37, 46, -1], [-1, 46, 37], [37, 28, -10], [-10, 32, 31], [31, 30, -11], [-11, 36, 22]] (m)c.f.e: [-1, 8, -1, 22, -1, 8, -1, 1, -3, 1, -3, 1, -46, 1, -3, 1, -3, 1] 18 cycle: [[-22, 8, 25], [25, 42, -5], [-5, 38, 41], [41, 44, -2], [-2, 44, 41], [41, 38, -5], [-5, 42, 25], [25, 8, -22], [-22, 36, 11], [11, 30, -31], [-31, 32, 10], [10, 28, -37], [-37, 46, 1], [1, 46, -37], [-37, 28, 10], [10, 32, -31], [-31, 30, 11], [11, 36, -22]] (m)c.f.e: [1, -8, 1, -22, 1, -8, 1, -1, 3, -1, 3, -1, 46, -1, 3, -1, 3, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 569 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 1, 5, 9, 2, 1, 2, 3, 3, 2, 1, 2, 9, 5, 1, 5, 1, 46] Pell solution, x^2- 569 y^2= -1 : [2894863832, 121359005] ---------- 42 cycle: [[10, 7, -13], [-13, 19, 4], [4, 21, -8], [-8, 11, 14], [14, 17, -5], [-5, 23, 2], [2, 21, -16], [-16, 11, 7], [7, 17, -10], [-10, 23, 1], [1, 23, -10], [-10, 17, 7], [7, 11, -16], [-16, 21, 2], [2, 23, -5], [-5, 17, 14], [14, 11, -8], [-8, 21, 4], [4, 19, -13], [-13, 7, 10], [10, 13, -10], [-10, 7, 13], [13, 19, -4], [-4, 21, 8], [8, 11, -14], [-14, 17, 5], [5, 23, -2], [-2, 21, 16], [16, 11, -7], [-7, 17, 10], [10, 23, -1], [-1, 23, 10], [10, 17, -7], [-7, 11, 16], [16, 21, -2], [-2, 23, 5], [5, 17, -14], [-14, 11, 8], [8, 21, -4], [-4, 19, 13], [13, 7, -10], [-10, 13, 10]] (m)c.f.e: [-1, 5, -2, 1, -4, 11, -1, 2, -2, 23, -2, 2, -1, 11, -4, 1, -2, 5, -1, 1, -1, 1, -5, 2, -1, 4, -11, 1, -2, 2, -23, 2, -2, 1, -11, 4, -1, 2, -5, 1, -1, 1] number of reduced forms: 42 partition: [42] ============================== d: 570 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 46] Pell solution, x^2- 570 y^2= 1 : [191, 8] ---------- 8 cycle: [[22, 16, -23], [-23, 30, 15], [15, 30, -23], [-23, 16, 22], [22, 28, -17], [-17, 40, 10], [10, 40, -17], [-17, 28, 22]] (m)c.f.e: [-1, 2, -1, 1, -2, 4, -2, 1] 8 cycle: [[-22, 16, 23], [23, 30, -15], [-15, 30, 23], [23, 16, -22], [-22, 28, 17], [17, 40, -10], [-10, 40, 17], [17, 28, -22]] (m)c.f.e: [1, -2, 1, -1, 2, -4, 2, -1] 6 cycle: [[11, 28, -34], [-34, 40, 5], [5, 40, -34], [-34, 28, 11], [11, 38, -19], [-19, 38, 11]] (m)c.f.e: [-1, 8, -1, 3, -2, 3] 6 cycle: [[-11, 28, 34], [34, 40, -5], [-5, 40, 34], [34, 28, -11], [-11, 38, 19], [19, 38, -11]] (m)c.f.e: [1, -8, 1, -3, 2, -3] 4 cycle: [[6, 36, -41], [-41, 46, 1], [1, 46, -41], [-41, 36, 6]] (m)c.f.e: [-1, 46, -1, 6] 4 cycle: [[-6, 36, 41], [41, 46, -1], [-1, 46, 41], [41, 36, -6]] (m)c.f.e: [1, -46, 1, -6] 4 cycle: [[3, 42, -43], [-43, 44, 2], [2, 44, -43], [-43, 42, 3]] (m)c.f.e: [-1, 22, -1, 14] 4 cycle: [[-3, 42, 43], [43, 44, -2], [-2, 44, 43], [43, 42, -3]] (m)c.f.e: [1, -22, 1, -14] number of reduced forms: 44 partition: [4, 4, 4, 4, 6, 6, 8, 8] ============================== d: 571 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 1, 1, 2, 1, 1, 1, 15, 3, 2, 1, 6, 7, 1, 4, 2, 3, 4, 2, 23, 2, 4, 3, 2, 4, 1, 7, 6, 1, 2, 3, 15, 1, 1, 1, 2, 1, 1, 8, 1, 46] Pell solution, x^2- 571 y^2= 1 : [181124355061630786130, 7579818350628982587] ---------- 42 cycle: [[21, 10, -26], [-26, 42, 5], [5, 38, -42], [-42, 46, 1], [1, 46, -42], [-42, 38, 5], [5, 42, -26], [-26, 10, 21], [21, 32, -15], [-15, 28, 25], [25, 22, -18], [-18, 14, 29], [29, 44, -3], [-3, 46, 14], [14, 38, -15], [-15, 22, 30], [30, 38, -7], [-7, 46, 6], [6, 38, -35], [-35, 32, 9], [9, 40, -19], [-19, 36, 13], [13, 42, -10], [-10, 38, 21], [21, 46, -2], [-2, 46, 21], [21, 38, -10], [-10, 42, 13], [13, 36, -19], [-19, 40, 9], [9, 32, -35], [-35, 38, 6], [6, 46, -7], [-7, 38, 30], [30, 22, -15], [-15, 38, 14], [14, 46, -3], [-3, 44, 29], [29, 14, -18], [-18, 22, 25], [25, 28, -15], [-15, 32, 21]] (m)c.f.e: [-1, 8, -1, 46, -1, 8, -1, 1, -2, 1, -1, 1, -15, 3, -2, 1, -6, 7, -1, 4, -2, 3, -4, 2, -23, 2, -4, 3, -2, 4, -1, 7, -6, 1, -2, 3, -15, 1, -1, 1, -2, 1] 42 cycle: [[-21, 10, 26], [26, 42, -5], [-5, 38, 42], [42, 46, -1], [-1, 46, 42], [42, 38, -5], [-5, 42, 26], [26, 10, -21], [-21, 32, 15], [15, 28, -25], [-25, 22, 18], [18, 14, -29], [-29, 44, 3], [3, 46, -14], [-14, 38, 15], [15, 22, -30], [-30, 38, 7], [7, 46, -6], [-6, 38, 35], [35, 32, -9], [-9, 40, 19], [19, 36, -13], [-13, 42, 10], [10, 38, -21], [-21, 46, 2], [2, 46, -21], [-21, 38, 10], [10, 42, -13], [-13, 36, 19], [19, 40, -9], [-9, 32, 35], [35, 38, -6], [-6, 46, 7], [7, 38, -30], [-30, 22, 15], [15, 38, -14], [-14, 46, 3], [3, 44, -29], [-29, 14, 18], [18, 22, -25], [-25, 28, 15], [15, 32, -21]] (m)c.f.e: [1, -8, 1, -46, 1, -8, 1, -1, 2, -1, 1, -1, 15, -3, 2, -1, 6, -7, 1, -4, 2, -3, 4, -2, 23, -2, 4, -3, 2, -4, 1, -7, 6, -1, 2, -3, 15, -1, 1, -1, 2, -1] number of reduced forms: 84 partition: [42, 42] ============================== d: 573 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 14, 1, 46] Pell solution, x^2- 573 y^2= 1 : [383, 16] ---------- 4 cycle: [[3, 21, -11], [-11, 23, 1], [1, 23, -11], [-11, 21, 3]] (m)c.f.e: [-2, 23, -2, 7] 4 cycle: [[-3, 21, 11], [11, 23, -1], [-1, 23, 11], [11, 21, -3]] (m)c.f.e: [2, -23, 2, -7] number of reduced forms: 8 partition: [4, 4] ============================== d: 574 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 22, 1, 46] Pell solution, x^2- 574 y^2= 1 : [575, 24] ---------- 6 cycle: [[21, 14, -25], [-25, 36, 10], [10, 44, -9], [-9, 46, 5], [5, 44, -18], [-18, 28, 21]] (m)c.f.e: [-1, 4, -5, 9, -2, 1] 6 cycle: [[-21, 14, 25], [25, 36, -10], [-10, 44, 9], [9, 46, -5], [-5, 44, 18], [18, 28, -21]] (m)c.f.e: [1, -4, 5, -9, 2, -1] 6 cycle: [[25, 14, -21], [-21, 28, 18], [18, 44, -5], [-5, 46, 9], [9, 44, -10], [-10, 36, 25]] (m)c.f.e: [-1, 2, -9, 5, -4, 1] 6 cycle: [[-25, 14, 21], [21, 28, -18], [-18, 44, 5], [5, 46, -9], [-9, 44, 10], [10, 36, -25]] (m)c.f.e: [1, -2, 9, -5, 4, -1] 6 cycle: [[17, 16, -30], [-30, 44, 3], [3, 46, -15], [-15, 44, 6], [6, 40, -29], [-29, 18, 17]] (m)c.f.e: [-1, 15, -3, 7, -1, 1] 6 cycle: [[-17, 16, 30], [30, 44, -3], [-3, 46, 15], [15, 44, -6], [-6, 40, 29], [29, 18, -17]] (m)c.f.e: [1, -15, 3, -7, 1, -1] 6 cycle: [[30, 16, -17], [-17, 18, 29], [29, 40, -6], [-6, 44, 15], [15, 46, -3], [-3, 44, 30]] (m)c.f.e: [-1, 1, -7, 3, -15, 1] 6 cycle: [[-30, 16, 17], [17, 18, -29], [-29, 40, 6], [6, 44, -15], [-15, 46, 3], [3, 44, -30]] (m)c.f.e: [1, -1, 7, -3, 15, -1] 8 cycle: [[15, 26, -27], [-27, 28, 14], [14, 28, -27], [-27, 26, 15], [15, 34, -19], [-19, 42, 7], [7, 42, -19], [-19, 34, 15]] (m)c.f.e: [-1, 2, -1, 2, -2, 6, -2, 2] 8 cycle: [[-15, 26, 27], [27, 28, -14], [-14, 28, 27], [27, 26, -15], [-15, 34, 19], [19, 42, -7], [-7, 42, 19], [19, 34, -15]] (m)c.f.e: [1, -2, 1, -2, 2, -6, 2, -2] 4 cycle: [[2, 44, -45], [-45, 46, 1], [1, 46, -45], [-45, 44, 2]] (m)c.f.e: [-1, 46, -1, 22] 4 cycle: [[-2, 44, 45], [45, 46, -1], [-1, 46, 45], [45, 44, -2]] (m)c.f.e: [1, -46, 1, -22] number of reduced forms: 72 partition: [4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8] ============================== d: 577 number of cycles (narrow class number): 7 class number: 7 c.f.e. of sqrt(d)-floor(sqrt(d)): [48] Pell solution, x^2- 577 y^2= -1 : [24, 1] ---------- 6 cycle: [[12, 1, -12], [-12, 23, 1], [1, 23, -12], [-12, 1, 12], [12, 23, -1], [-1, 23, 12]] (m)c.f.e: [-1, 23, -1, 1, -23, 1] 10 cycle: [[11, 7, -12], [-12, 17, 6], [6, 19, -9], [-9, 17, 8], [8, 15, -11], [-11, 7, 12], [12, 17, -6], [-6, 19, 9], [9, 17, -8], [-8, 15, 11]] (m)c.f.e: [-1, 3, -2, 2, -1, 1, -3, 2, -2, 1] 10 cycle: [[12, 7, -11], [-11, 15, 8], [8, 17, -9], [-9, 19, 6], [6, 17, -12], [-12, 7, 11], [11, 15, -8], [-8, 17, 9], [9, 19, -6], [-6, 17, 12]] (m)c.f.e: [-1, 2, -2, 3, -1, 1, -2, 2, -3, 1] 6 cycle: [[6, 13, -17], [-17, 21, 2], [2, 23, -6], [-6, 13, 17], [17, 21, -2], [-2, 23, 6]] (m)c.f.e: [-1, 11, -3, 1, -11, 3] 6 cycle: [[17, 13, -6], [-6, 23, 2], [2, 21, -17], [-17, 13, 6], [6, 23, -2], [-2, 21, 17]] (m)c.f.e: [-3, 11, -1, 3, -11, 1] 6 cycle: [[4, 17, -18], [-18, 19, 3], [3, 23, -4], [-4, 17, 18], [18, 19, -3], [-3, 23, 4]] (m)c.f.e: [-1, 7, -5, 1, -7, 5] 6 cycle: [[18, 17, -4], [-4, 23, 3], [3, 19, -18], [-18, 17, 4], [4, 23, -3], [-3, 19, 18]] (m)c.f.e: [-5, 7, -1, 5, -7, 1] number of reduced forms: 50 partition: [6, 6, 6, 6, 6, 10, 10] ============================== d: 579 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [16, 48] Pell solution, x^2- 579 y^2= 1 : [385, 16] ---------- 6 cycle: [[23, 4, -25], [-25, 46, 2], [2, 46, -25], [-25, 4, 23], [23, 42, -6], [-6, 42, 23]] (m)c.f.e: [-1, 23, -1, 1, -7, 1] 6 cycle: [[-23, 4, 25], [25, 46, -2], [-2, 46, 25], [25, 4, -23], [-23, 42, 6], [6, 42, -23]] (m)c.f.e: [1, -23, 1, -1, 7, -1] 6 cycle: [[15, 24, -29], [-29, 34, 10], [10, 46, -5], [-5, 44, 19], [19, 32, -17], [-17, 36, 15]] (m)c.f.e: [-1, 4, -9, 2, -2, 2] 6 cycle: [[-15, 24, 29], [29, 34, -10], [-10, 46, 5], [5, 44, -19], [-19, 32, 17], [17, 36, -15]] (m)c.f.e: [1, -4, 9, -2, 2, -2] 6 cycle: [[29, 24, -15], [-15, 36, 17], [17, 32, -19], [-19, 44, 5], [5, 46, -10], [-10, 34, 29]] (m)c.f.e: [-2, 2, -2, 9, -4, 1] 6 cycle: [[-29, 24, 15], [15, 36, -17], [-17, 32, 19], [19, 44, -5], [-5, 46, 10], [10, 34, -29]] (m)c.f.e: [2, -2, 2, -9, 4, -1] 2 cycle: [[1, 48, -3], [-3, 48, 1]] (m)c.f.e: [-16, 48] 2 cycle: [[-1, 48, 3], [3, 48, -1]] (m)c.f.e: [16, -48] number of reduced forms: 40 partition: [2, 2, 6, 6, 6, 6, 6, 6] ============================== d: 581 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [9, 1, 1, 1, 1, 1, 3, 11, 1, 3, 2, 6, 2, 3, 1, 11, 3, 1, 1, 1, 1, 1, 9, 48] Pell solution, x^2- 581 y^2= 1 : [152071153975, 6308974548] ---------- 8 cycle: [[11, 3, -13], [-13, 23, 1], [1, 23, -13], [-13, 3, 11], [11, 19, -5], [-5, 21, 7], [7, 21, -5], [-5, 19, 11]] (m)c.f.e: [-1, 23, -1, 1, -4, 3, -4, 1] 8 cycle: [[-11, 3, 13], [13, 23, -1], [-1, 23, 13], [13, 3, -11], [-11, 19, 5], [5, 21, -7], [-7, 21, 5], [5, 19, -11]] (m)c.f.e: [1, -23, 1, -1, 4, -3, 4, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 582 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 48] Pell solution, x^2- 582 y^2= 1 : [193, 8] ---------- 6 cycle: [[21, 12, -26], [-26, 40, 7], [7, 44, -14], [-14, 40, 13], [13, 38, -17], [-17, 30, 21]] (m)c.f.e: [-1, 6, -3, 3, -2, 1] 6 cycle: [[-21, 12, 26], [26, 40, -7], [-7, 44, 14], [14, 40, -13], [-13, 38, 17], [17, 30, -21]] (m)c.f.e: [1, -6, 3, -3, 2, -1] 6 cycle: [[26, 12, -21], [-21, 30, 17], [17, 38, -13], [-13, 40, 14], [14, 44, -7], [-7, 40, 26]] (m)c.f.e: [-1, 2, -3, 3, -6, 1] 6 cycle: [[-26, 12, 21], [21, 30, -17], [-17, 38, 13], [13, 40, -14], [-14, 44, 7], [7, 40, -26]] (m)c.f.e: [1, -2, 3, -3, 6, -1] 2 cycle: [[1, 48, -6], [-6, 48, 1]] (m)c.f.e: [-8, 48] 2 cycle: [[-1, 48, 6], [6, 48, -1]] (m)c.f.e: [8, -48] 2 cycle: [[2, 48, -3], [-3, 48, 2]] (m)c.f.e: [-16, 24] 2 cycle: [[-2, 48, 3], [3, 48, -2]] (m)c.f.e: [16, -24] number of reduced forms: 32 partition: [2, 2, 2, 2, 6, 6, 6, 6] ============================== d: 583 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 1, 7, 5, 4, 5, 7, 1, 6, 48] Pell solution, x^2- 583 y^2= 1 : [8429543, 349116] ---------- 18 cycle: [[21, 8, -27], [-27, 46, 2], [2, 46, -27], [-27, 8, 21], [21, 34, -14], [-14, 22, 33], [33, 44, -3], [-3, 46, 18], [18, 26, -23], [-23, 20, 21], [21, 22, -22], [-22, 22, 21], [21, 20, -23], [-23, 26, 18], [18, 46, -3], [-3, 44, 33], [33, 22, -14], [-14, 34, 21]] (m)c.f.e: [-1, 23, -1, 1, -2, 1, -15, 2, -1, 1, -1, 1, -1, 2, -15, 1, -2, 1] 18 cycle: [[-21, 8, 27], [27, 46, -2], [-2, 46, 27], [27, 8, -21], [-21, 34, 14], [14, 22, -33], [-33, 44, 3], [3, 46, -18], [-18, 26, 23], [23, 20, -21], [-21, 22, 22], [22, 22, -21], [-21, 20, 23], [23, 26, -18], [-18, 46, 3], [3, 44, -33], [-33, 22, 14], [14, 34, -21]] (m)c.f.e: [1, -23, 1, -1, 2, -1, 15, -2, 1, -1, 1, -1, 1, -2, 15, -1, 2, -1] 10 cycle: [[7, 36, -37], [-37, 38, 6], [6, 46, -9], [-9, 44, 11], [11, 44, -9], [-9, 46, 6], [6, 38, -37], [-37, 36, 7], [7, 48, -1], [-1, 48, 7]] (m)c.f.e: [-1, 7, -5, 4, -5, 7, -1, 6, -48, 6] 10 cycle: [[-7, 36, 37], [37, 38, -6], [-6, 46, 9], [9, 44, -11], [-11, 44, 9], [9, 46, -6], [-6, 38, 37], [37, 36, -7], [-7, 48, 1], [1, 48, -7]] (m)c.f.e: [1, -7, 5, -4, 5, -7, 1, -6, 48, -6] number of reduced forms: 56 partition: [10, 10, 18, 18] ============================== d: 586 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 4, 1, 1, 2, 1, 2, 7, 1, 2, 2, 1, 7, 2, 1, 2, 1, 1, 4, 1, 4, 48] Pell solution, x^2- 586 y^2= -1 : [4115086707, 169992665] ---------- 46 cycle: [[22, 12, -25], [-25, 38, 9], [9, 34, -33], [-33, 32, 10], [10, 48, -1], [-1, 48, 10], [10, 32, -33], [-33, 34, 9], [9, 38, -25], [-25, 12, 22], [22, 32, -15], [-15, 28, 26], [26, 24, -17], [-17, 44, 6], [6, 40, -31], [-31, 22, 15], [15, 38, -15], [-15, 22, 31], [31, 40, -6], [-6, 44, 17], [17, 24, -26], [-26, 28, 15], [15, 32, -22], [-22, 12, 25], [25, 38, -9], [-9, 34, 33], [33, 32, -10], [-10, 48, 1], [1, 48, -10], [-10, 32, 33], [33, 34, -9], [-9, 38, 25], [25, 12, -22], [-22, 32, 15], [15, 28, -26], [-26, 24, 17], [17, 44, -6], [-6, 40, 31], [31, 22, -15], [-15, 38, 15], [15, 22, -31], [-31, 40, 6], [6, 44, -17], [-17, 24, 26], [26, 28, -15], [-15, 32, 22]] (m)c.f.e: [-1, 4, -1, 4, -48, 4, -1, 4, -1, 1, -2, 1, -2, 7, -1, 2, -2, 1, -7, 2, -1, 2, -1, 1, -4, 1, -4, 48, -4, 1, -4, 1, -1, 2, -1, 2, -7, 1, -2, 2, -1, 7, -2, 1, -2, 1] 42 cycle: [[18, 16, -29], [-29, 42, 5], [5, 48, -2], [-2, 48, 5], [5, 42, -29], [-29, 16, 18], [18, 20, -27], [-27, 34, 11], [11, 32, -30], [-30, 28, 13], [13, 24, -34], [-34, 44, 3], [3, 46, -19], [-19, 30, 19], [19, 46, -3], [-3, 44, 34], [34, 24, -13], [-13, 28, 30], [30, 32, -11], [-11, 34, 27], [27, 20, -18], [-18, 16, 29], [29, 42, -5], [-5, 48, 2], [2, 48, -5], [-5, 42, 29], [29, 16, -18], [-18, 20, 27], [27, 34, -11], [-11, 32, 30], [30, 28, -13], [-13, 24, 34], [34, 44, -3], [-3, 46, 19], [19, 30, -19], [-19, 46, 3], [3, 44, -34], [-34, 24, 13], [13, 28, -30], [-30, 32, 11], [11, 34, -27], [-27, 20, 18]] (m)c.f.e: [-1, 9, -24, 9, -1, 1, -1, 3, -1, 2, -1, 15, -2, 2, -15, 1, -2, 1, -3, 1, -1, 1, -9, 24, -9, 1, -1, 1, -3, 1, -2, 1, -15, 2, -2, 15, -1, 2, -1, 3, -1, 1] number of reduced forms: 88 partition: [42, 46] ============================== d: 587 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 2, 1, 1, 1, 1, 23, 1, 1, 1, 1, 2, 4, 48] Pell solution, x^2- 587 y^2= 1 : [1907162, 78717] ---------- 14 cycle: [[19, 12, -29], [-29, 46, 2], [2, 46, -29], [-29, 12, 19], [19, 26, -22], [-22, 18, 23], [23, 28, -17], [-17, 40, 11], [11, 48, -1], [-1, 48, 11], [11, 40, -17], [-17, 28, 23], [23, 18, -22], [-22, 26, 19]] (m)c.f.e: [-1, 23, -1, 1, -1, 1, -2, 4, -48, 4, -2, 1, -1, 1] 14 cycle: [[-19, 12, 29], [29, 46, -2], [-2, 46, 29], [29, 12, -19], [-19, 26, 22], [22, 18, -23], [-23, 28, 17], [17, 40, -11], [-11, 48, 1], [1, 48, -11], [-11, 40, 17], [17, 28, -23], [-23, 18, 22], [22, 26, -19]] (m)c.f.e: [1, -23, 1, -1, 1, -1, 2, -4, 48, -4, 2, -1, 1, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 589 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 2, 2, 15, 1, 3, 9, 2, 4, 1, 11, 3, 6, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 6, 3, 11, 1, 4, 2, 9, 3, 1, 15, 2, 2, 1, 3, 48] Pell solution, x^2- 589 y^2= 1 : [41423166067036218751, 1706811823063746000] ---------- 16 cycle: [[9, 7, -15], [-15, 23, 1], [1, 23, -15], [-15, 7, 9], [9, 11, -13], [-13, 15, 7], [7, 13, -15], [-15, 17, 5], [5, 23, -3], [-3, 19, 19], [19, 19, -3], [-3, 23, 5], [5, 17, -15], [-15, 13, 7], [7, 15, -13], [-13, 11, 9]] (m)c.f.e: [-1, 23, -1, 1, -1, 2, -1, 4, -7, 1, -7, 4, -1, 2, -1, 1] 16 cycle: [[-9, 7, 15], [15, 23, -1], [-1, 23, 15], [15, 7, -9], [-9, 11, 13], [13, 15, -7], [-7, 13, 15], [15, 17, -5], [-5, 23, 3], [3, 19, -19], [-19, 19, 3], [3, 23, -5], [-5, 17, 15], [15, 13, -7], [-7, 15, 13], [13, 11, -9]] (m)c.f.e: [1, -23, 1, -1, 1, -2, 1, -4, 7, -1, 7, -4, 1, -2, 1, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 590 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 4, 2, 3, 48] Pell solution, x^2- 590 y^2= 1 : [5781, 238] ---------- 6 cycle: [[7, 36, -38], [-38, 40, 5], [5, 40, -38], [-38, 36, 7], [7, 48, -2], [-2, 48, 7]] (m)c.f.e: [-1, 8, -1, 6, -24, 6] 6 cycle: [[-7, 36, 38], [38, 40, -5], [-5, 40, 38], [38, 36, -7], [-7, 48, 2], [2, 48, -7]] (m)c.f.e: [1, -8, 1, -6, 24, -6] 6 cycle: [[14, 36, -19], [-19, 40, 10], [10, 40, -19], [-19, 36, 14], [14, 48, -1], [-1, 48, 14]] (m)c.f.e: [-2, 4, -2, 3, -48, 3] 6 cycle: [[-14, 36, 19], [19, 40, -10], [-10, 40, 19], [19, 36, -14], [-14, 48, 1], [1, 48, -14]] (m)c.f.e: [2, -4, 2, -3, 48, -3] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 591 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 4, 1, 1, 7, 1, 1, 4, 3, 48] Pell solution, x^2- 591 y^2= 1 : [165676, 6815] ---------- 10 cycle: [[23, 8, -25], [-25, 42, 6], [6, 42, -25], [-25, 8, 23], [23, 38, -10], [-10, 42, 15], [15, 48, -1], [-1, 48, 15], [15, 42, -10], [-10, 38, 23]] (m)c.f.e: [-1, 7, -1, 1, -4, 3, -48, 3, -4, 1] 10 cycle: [[-23, 8, 25], [25, 42, -6], [-6, 42, 25], [25, 8, -23], [-23, 38, 10], [10, 42, -15], [-15, 48, 1], [1, 48, -15], [-15, 42, 10], [10, 38, -23]] (m)c.f.e: [1, -7, 1, -1, 4, -3, 48, -3, 4, -1] 10 cycle: [[17, 16, -31], [-31, 46, 2], [2, 46, -31], [-31, 16, 17], [17, 18, -30], [-30, 42, 5], [5, 48, -3], [-3, 48, 5], [5, 42, -30], [-30, 18, 17]] (m)c.f.e: [-1, 23, -1, 1, -1, 9, -16, 9, -1, 1] 10 cycle: [[-17, 16, 31], [31, 46, -2], [-2, 46, 31], [31, 16, -17], [-17, 18, 30], [30, 42, -5], [-5, 48, 3], [3, 48, -5], [-5, 42, 30], [30, 18, -17]] (m)c.f.e: [1, -23, 1, -1, 1, -9, 16, -9, 1, -1] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 593 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48] Pell solution, x^2- 593 y^2= -1 : [600632, 24665] ---------- 22 cycle: [[8, 9, -16], [-16, 23, 1], [1, 23, -16], [-16, 9, 8], [8, 23, -2], [-2, 21, 19], [19, 17, -4], [-4, 23, 4], [4, 17, -19], [-19, 21, 2], [2, 23, -8], [-8, 9, 16], [16, 23, -1], [-1, 23, 16], [16, 9, -8], [-8, 23, 2], [2, 21, -19], [-19, 17, 4], [4, 23, -4], [-4, 17, 19], [19, 21, -2], [-2, 23, 8]] (m)c.f.e: [-1, 23, -1, 2, -11, 1, -5, 5, -1, 11, -2, 1, -23, 1, -2, 11, -1, 5, -5, 1, -11, 2] number of reduced forms: 22 partition: [22] ============================== d: 595 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 4, 1, 4, 1, 1, 2, 48] Pell solution, x^2- 595 y^2= 1 : [18514, 759] ---------- 10 cycle: [[21, 14, -26], [-26, 38, 9], [9, 34, -34], [-34, 34, 9], [9, 38, -26], [-26, 14, 21], [21, 28, -19], [-19, 48, 1], [1, 48, -19], [-19, 28, 21]] (m)c.f.e: [-1, 4, -1, 4, -1, 1, -2, 48, -2, 1] 10 cycle: [[-21, 14, 26], [26, 38, -9], [-9, 34, 34], [34, 34, -9], [-9, 38, 26], [26, 14, -21], [-21, 28, 19], [19, 48, -1], [-1, 48, 19], [19, 28, -21]] (m)c.f.e: [1, -4, 1, -4, 1, -1, 2, -48, 2, -1] 10 cycle: [[15, 20, -33], [-33, 46, 2], [2, 46, -33], [-33, 20, 15], [15, 40, -13], [-13, 38, 18], [18, 34, -17], [-17, 34, 18], [18, 38, -13], [-13, 40, 15]] (m)c.f.e: [-1, 23, -1, 2, -3, 2, -2, 2, -3, 2] 10 cycle: [[-15, 20, 33], [33, 46, -2], [-2, 46, 33], [33, 20, -15], [-15, 40, 13], [13, 38, -18], [-18, 34, 17], [17, 34, -18], [-18, 38, 13], [13, 40, -15]] (m)c.f.e: [1, -23, 1, -2, 3, -2, 2, -2, 3, -2] 8 cycle: [[10, 30, -37], [-37, 44, 3], [3, 46, -22], [-22, 42, 7], [7, 42, -22], [-22, 46, 3], [3, 44, -37], [-37, 30, 10]] (m)c.f.e: [-1, 15, -2, 6, -2, 15, -1, 3] 8 cycle: [[-10, 30, 37], [37, 44, -3], [-3, 46, 22], [22, 42, -7], [-7, 42, 22], [22, 46, -3], [-3, 44, 37], [37, 30, -10]] (m)c.f.e: [1, -15, 2, -6, 2, -15, 1, -3] 8 cycle: [[6, 38, -39], [-39, 40, 5], [5, 40, -39], [-39, 38, 6], [6, 46, -11], [-11, 42, 14], [14, 42, -11], [-11, 46, 6]] (m)c.f.e: [-1, 8, -1, 7, -4, 3, -4, 7] 8 cycle: [[-6, 38, 39], [39, 40, -5], [-5, 40, 39], [39, 38, -6], [-6, 46, 11], [11, 42, -14], [-14, 42, 11], [11, 46, -6]] (m)c.f.e: [1, -8, 1, -7, 4, -3, 4, -7] number of reduced forms: 72 partition: [8, 8, 8, 8, 10, 10, 10, 10] ============================== d: 597 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 3, 1, 3, 1, 2, 11, 1, 6, 16, 6, 1, 11, 2, 1, 3, 1, 3, 3, 2, 48] Pell solution, x^2- 597 y^2= 1 : [463287093751, 18961078500] ---------- 10 cycle: [[11, 5, -13], [-13, 21, 3], [3, 21, -13], [-13, 5, 11], [11, 17, -7], [-7, 11, 17], [17, 23, -1], [-1, 23, 17], [17, 11, -7], [-7, 17, 11]] (m)c.f.e: [-1, 7, -1, 1, -2, 1, -23, 1, -2, 1] 10 cycle: [[-11, 5, 13], [13, 21, -3], [-3, 21, 13], [13, 5, -11], [-11, 17, 7], [7, 11, -17], [-17, 23, 1], [1, 23, -17], [-17, 11, 7], [7, 17, -11]] (m)c.f.e: [1, -7, 1, -1, 2, -1, 23, -1, 2, -1] number of reduced forms: 20 partition: [10, 10] ============================== d: 598 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4, 1, 15, 2, 15, 1, 4, 2, 48] Pell solution, x^2- 598 y^2= 1 : [1574351, 64380] ---------- 12 cycle: [[13, 26, -33], [-33, 40, 6], [6, 44, -19], [-19, 32, 18], [18, 40, -11], [-11, 48, 2], [2, 48, -11], [-11, 40, 18], [18, 32, -19], [-19, 44, 6], [6, 40, -33], [-33, 26, 13]] (m)c.f.e: [-1, 7, -2, 2, -4, 24, -4, 2, -2, 7, -1, 2] 12 cycle: [[-13, 26, 33], [33, 40, -6], [-6, 44, 19], [19, 32, -18], [-18, 40, 11], [11, 48, -2], [-2, 48, 11], [11, 40, -18], [-18, 32, 19], [19, 44, -6], [-6, 40, 33], [33, 26, -13]] (m)c.f.e: [1, -7, 2, -2, 4, -24, 4, -2, 2, -7, 1, -2] 10 cycle: [[9, 32, -38], [-38, 44, 3], [3, 46, -23], [-23, 46, 3], [3, 44, -38], [-38, 32, 9], [9, 40, -22], [-22, 48, 1], [1, 48, -22], [-22, 40, 9]] (m)c.f.e: [-1, 15, -2, 15, -1, 4, -2, 48, -2, 4] 10 cycle: [[-9, 32, 38], [38, 44, -3], [-3, 46, 23], [23, 46, -3], [-3, 44, 38], [38, 32, -9], [-9, 40, 22], [22, 48, -1], [-1, 48, 22], [22, 40, -9]] (m)c.f.e: [1, -15, 2, -15, 1, -4, 2, -48, 2, -4] number of reduced forms: 44 partition: [10, 10, 12, 12] ============================== d: 599 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 9, 3, 2, 1, 1, 3, 1, 6, 4, 1, 2, 1, 23, 1, 2, 1, 4, 6, 1, 3, 1, 1, 2, 3, 9, 2, 48] Pell solution, x^2- 599 y^2= 1 : [24686379794520, 1008658133851] ---------- 28 cycle: [[22, 14, -25], [-25, 36, 11], [11, 30, -34], [-34, 38, 7], [7, 46, -10], [-10, 34, 31], [31, 28, -13], [-13, 24, 35], [35, 46, -2], [-2, 46, 35], [35, 24, -13], [-13, 28, 31], [31, 34, -10], [-10, 46, 7], [7, 38, -34], [-34, 30, 11], [11, 36, -25], [-25, 14, 22], [22, 30, -17], [-17, 38, 14], [14, 46, -5], [-5, 44, 23], [23, 48, -1], [-1, 48, 23], [23, 44, -5], [-5, 46, 14], [14, 38, -17], [-17, 30, 22]] (m)c.f.e: [-1, 3, -1, 6, -4, 1, -2, 1, -23, 1, -2, 1, -4, 6, -1, 3, -1, 1, -2, 3, -9, 2, -48, 2, -9, 3, -2, 1] 28 cycle: [[-22, 14, 25], [25, 36, -11], [-11, 30, 34], [34, 38, -7], [-7, 46, 10], [10, 34, -31], [-31, 28, 13], [13, 24, -35], [-35, 46, 2], [2, 46, -35], [-35, 24, 13], [13, 28, -31], [-31, 34, 10], [10, 46, -7], [-7, 38, 34], [34, 30, -11], [-11, 36, 25], [25, 14, -22], [-22, 30, 17], [17, 38, -14], [-14, 46, 5], [5, 44, -23], [-23, 48, 1], [1, 48, -23], [-23, 44, 5], [5, 46, -14], [-14, 38, 17], [17, 30, -22]] (m)c.f.e: [1, -3, 1, -6, 4, -1, 2, -1, 23, -1, 2, -1, 4, -6, 1, -3, 1, -1, 2, -3, 9, -2, 48, -2, 9, -3, 2, -1] number of reduced forms: 56 partition: [28, 28] ============================== d: 601 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 15, 1, 5, 5, 3, 1, 1, 2, 1, 2, 2, 1, 9, 9, 1, 2, 2, 1, 2, 1, 1, 3, 5, 5, 1, 15, 1, 1, 48] Pell solution, x^2- 601 y^2= -1 : [139468303679532, 5689030769845] ---------- 66 cycle: [[12, 5, -12], [-12, 19, 5], [5, 21, -8], [-8, 11, 15], [15, 19, -4], [-4, 21, 10], [10, 19, -6], [-6, 17, 13], [13, 9, -10], [-10, 11, 12], [12, 13, -9], [-9, 23, 2], [2, 21, -20], [-20, 19, 3], [3, 23, -6], [-6, 13, 18], [18, 23, -1], [-1, 23, 18], [18, 13, -6], [-6, 23, 3], [3, 19, -20], [-20, 21, 2], [2, 23, -9], [-9, 13, 12], [12, 11, -10], [-10, 9, 13], [13, 17, -6], [-6, 19, 10], [10, 21, -4], [-4, 19, 15], [15, 11, -8], [-8, 21, 5], [5, 19, -12], [-12, 5, 12], [12, 19, -5], [-5, 21, 8], [8, 11, -15], [-15, 19, 4], [4, 21, -10], [-10, 19, 6], [6, 17, -13], [-13, 9, 10], [10, 11, -12], [-12, 13, 9], [9, 23, -2], [-2, 21, 20], [20, 19, -3], [-3, 23, 6], [6, 13, -18], [-18, 23, 1], [1, 23, -18], [-18, 13, 6], [6, 23, -3], [-3, 19, 20], [20, 21, -2], [-2, 23, 9], [9, 13, -12], [-12, 11, 10], [10, 9, -13], [-13, 17, 6], [6, 19, -10], [-10, 21, 4], [4, 19, -15], [-15, 11, 8], [8, 21, -5], [-5, 19, 12]] (m)c.f.e: [-1, 4, -2, 1, -5, 2, -3, 1, -1, 1, -2, 11, -1, 7, -3, 1, -23, 1, -3, 7, -1, 11, -2, 1, -1, 1, -3, 2, -5, 1, -2, 4, -1, 1, -4, 2, -1, 5, -2, 3, -1, 1, -1, 2, -11, 1, -7, 3, -1, 23, -1, 3, -7, 1, -11, 2, -1, 1, -1, 3, -2, 5, -1, 2, -4, 1] number of reduced forms: 66 partition: [66] ============================== d: 602 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 6, 1, 1, 48] Pell solution, x^2- 602 y^2= 1 : [687, 28] ---------- 6 cycle: [[23, 4, -26], [-26, 48, 1], [1, 48, -26], [-26, 4, 23], [23, 42, -7], [-7, 42, 23]] (m)c.f.e: [-1, 48, -1, 1, -6, 1] 6 cycle: [[-23, 4, 26], [26, 48, -1], [-1, 48, 26], [26, 4, -23], [-23, 42, 7], [7, 42, -23]] (m)c.f.e: [1, -48, 1, -1, 6, -1] 6 cycle: [[14, 28, -29], [-29, 30, 13], [13, 48, -2], [-2, 48, 13], [13, 30, -29], [-29, 28, 14]] (m)c.f.e: [-1, 3, -24, 3, -1, 2] 6 cycle: [[-14, 28, 29], [29, 30, -13], [-13, 48, 2], [2, 48, -13], [-13, 30, 29], [29, 28, -14]] (m)c.f.e: [1, -3, 24, -3, 1, -2] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 606 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 1, 1, 2, 1, 9, 8, 9, 1, 2, 1, 1, 1, 1, 1, 1, 48] Pell solution, x^2- 606 y^2= 1 : [42187499, 1713750] ---------- 20 cycle: [[19, 12, -30], [-30, 48, 1], [1, 48, -30], [-30, 12, 19], [19, 26, -23], [-23, 20, 22], [22, 24, -21], [-21, 18, 25], [25, 32, -14], [-14, 24, 33], [33, 42, -5], [-5, 48, 6], [6, 48, -5], [-5, 42, 33], [33, 24, -14], [-14, 32, 25], [25, 18, -21], [-21, 24, 22], [22, 20, -23], [-23, 26, 19]] (m)c.f.e: [-1, 48, -1, 1, -1, 1, -1, 1, -2, 1, -9, 8, -9, 1, -2, 1, -1, 1, -1, 1] 20 cycle: [[-19, 12, 30], [30, 48, -1], [-1, 48, 30], [30, 12, -19], [-19, 26, 23], [23, 20, -22], [-22, 24, 21], [21, 18, -25], [-25, 32, 14], [14, 24, -33], [-33, 42, 5], [5, 48, -6], [-6, 48, 5], [5, 42, -33], [-33, 24, 14], [14, 32, -25], [-25, 18, 21], [21, 24, -22], [-22, 20, 23], [23, 26, -19]] (m)c.f.e: [1, -48, 1, -1, 1, -1, 1, -1, 2, -1, 9, -8, 9, -1, 2, -1, 1, -1, 1, -1] 12 cycle: [[10, 32, -35], [-35, 38, 7], [7, 46, -11], [-11, 42, 15], [15, 48, -2], [-2, 48, 15], [15, 42, -11], [-11, 46, 7], [7, 38, -35], [-35, 32, 10], [10, 48, -3], [-3, 48, 10]] (m)c.f.e: [-1, 6, -4, 3, -24, 3, -4, 6, -1, 4, -16, 4] 12 cycle: [[-10, 32, 35], [35, 38, -7], [-7, 46, 11], [11, 42, -15], [-15, 48, 2], [2, 48, -15], [-15, 42, 11], [11, 46, -7], [-7, 38, 35], [35, 32, -10], [-10, 48, 3], [3, 48, -10]] (m)c.f.e: [1, -6, 4, -3, 24, -3, 4, -6, 1, -4, 16, -4] number of reduced forms: 64 partition: [12, 12, 20, 20] ============================== d: 607 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 3, 7, 1, 15, 1, 1, 4, 1, 23, 1, 4, 1, 1, 15, 1, 7, 3, 1, 1, 1, 48] Pell solution, x^2- 607 y^2= 1 : [164076033968, 6659640783] ---------- 24 cycle: [[23, 6, -26], [-26, 46, 3], [3, 44, -41], [-41, 38, 6], [6, 46, -13], [-13, 32, 27], [27, 22, -18], [-18, 14, 31], [31, 48, -1], [-1, 48, 31], [31, 14, -18], [-18, 22, 27], [27, 32, -13], [-13, 46, 6], [6, 38, -41], [-41, 44, 3], [3, 46, -26], [-26, 6, 23], [23, 40, -9], [-9, 32, 39], [39, 46, -2], [-2, 46, 39], [39, 32, -9], [-9, 40, 23]] (m)c.f.e: [-1, 15, -1, 7, -3, 1, -1, 1, -48, 1, -1, 1, -3, 7, -1, 15, -1, 1, -4, 1, -23, 1, -4, 1] 24 cycle: [[-23, 6, 26], [26, 46, -3], [-3, 44, 41], [41, 38, -6], [-6, 46, 13], [13, 32, -27], [-27, 22, 18], [18, 14, -31], [-31, 48, 1], [1, 48, -31], [-31, 14, 18], [18, 22, -27], [-27, 32, 13], [13, 46, -6], [-6, 38, 41], [41, 44, -3], [-3, 46, 26], [26, 6, -23], [-23, 40, 9], [9, 32, -39], [-39, 46, 2], [2, 46, -39], [-39, 32, 9], [9, 40, -23]] (m)c.f.e: [1, -15, 1, -7, 3, -1, 1, -1, 48, -1, 1, -1, 3, -7, 1, -15, 1, -1, 4, -1, 23, -1, 4, -1] number of reduced forms: 48 partition: [24, 24] ============================== d: 609 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 9, 1, 1, 6, 1, 1, 9, 2, 1, 48] Pell solution, x^2- 609 y^2= 1 : [605695, 24544] ---------- 16 cycle: [[10, 7, -14], [-14, 21, 3], [3, 21, -14], [-14, 7, 10], [10, 13, -11], [-11, 9, 12], [12, 15, -8], [-8, 17, 10], [10, 23, -2], [-2, 21, 21], [21, 21, -2], [-2, 23, 10], [10, 17, -8], [-8, 15, 12], [12, 9, -11], [-11, 13, 10]] (m)c.f.e: [-1, 7, -1, 1, -1, 1, -2, 2, -11, 1, -11, 2, -2, 1, -1, 1] 16 cycle: [[-10, 7, 14], [14, 21, -3], [-3, 21, 14], [14, 7, -10], [-10, 13, 11], [11, 9, -12], [-12, 15, 8], [8, 17, -10], [-10, 23, 2], [2, 21, -21], [-21, 21, 2], [2, 23, -10], [-10, 17, 8], [8, 15, -12], [-12, 9, 11], [11, 13, -10]] (m)c.f.e: [1, -7, 1, -1, 1, -1, 2, -2, 11, -1, 11, -2, 2, -1, 1, -1] 12 cycle: [[6, 15, -16], [-16, 17, 5], [5, 23, -4], [-4, 17, 20], [20, 23, -1], [-1, 23, 20], [20, 17, -4], [-4, 23, 5], [5, 17, -16], [-16, 15, 6], [6, 21, -7], [-7, 21, 6]] (m)c.f.e: [-1, 4, -5, 1, -23, 1, -5, 4, -1, 3, -3, 3] 12 cycle: [[-6, 15, 16], [16, 17, -5], [-5, 23, 4], [4, 17, -20], [-20, 23, 1], [1, 23, -20], [-20, 17, 4], [4, 23, -5], [-5, 17, 16], [16, 15, -6], [-6, 21, 7], [7, 21, -6]] (m)c.f.e: [1, -4, 5, -1, 23, -1, 5, -4, 1, -3, 3, -3] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 610 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 3, 5, 5, 3, 2, 1, 48] Pell solution, x^2- 610 y^2= -1 : [71847, 2909] ---------- 22 cycle: [[22, 8, -27], [-27, 46, 3], [3, 44, -42], [-42, 40, 5], [5, 40, -42], [-42, 44, 3], [3, 46, -27], [-27, 8, 22], [22, 36, -13], [-13, 42, 13], [13, 36, -22], [-22, 8, 27], [27, 46, -3], [-3, 44, 42], [42, 40, -5], [-5, 40, 42], [42, 44, -3], [-3, 46, 27], [27, 8, -22], [-22, 36, 13], [13, 42, -13], [-13, 36, 22]] (m)c.f.e: [-1, 15, -1, 8, -1, 15, -1, 1, -3, 3, -1, 1, -15, 1, -8, 1, -15, 1, -1, 3, -3, 1] 26 cycle: [[21, 16, -26], [-26, 36, 11], [11, 30, -35], [-35, 40, 6], [6, 44, -21], [-21, 40, 10], [10, 40, -21], [-21, 44, 6], [6, 40, -35], [-35, 30, 11], [11, 36, -26], [-26, 16, 21], [21, 26, -21], [-21, 16, 26], [26, 36, -11], [-11, 30, 35], [35, 40, -6], [-6, 44, 21], [21, 40, -10], [-10, 40, 21], [21, 44, -6], [-6, 40, 35], [35, 30, -11], [-11, 36, 26], [26, 16, -21], [-21, 26, 21]] (m)c.f.e: [-1, 3, -1, 7, -2, 4, -2, 7, -1, 3, -1, 1, -1, 1, -3, 1, -7, 2, -4, 2, -7, 1, -3, 1, -1, 1] 22 cycle: [[23, 18, -23], [-23, 28, 18], [18, 44, -7], [-7, 40, 30], [30, 20, -17], [-17, 48, 2], [2, 48, -17], [-17, 20, 30], [30, 40, -7], [-7, 44, 18], [18, 28, -23], [-23, 18, 23], [23, 28, -18], [-18, 44, 7], [7, 40, -30], [-30, 20, 17], [17, 48, -2], [-2, 48, 17], [17, 20, -30], [-30, 40, 7], [7, 44, -18], [-18, 28, 23]] (m)c.f.e: [-1, 2, -6, 1, -2, 24, -2, 1, -6, 2, -1, 1, -2, 6, -1, 2, -24, 2, -1, 6, -2, 1] 18 cycle: [[15, 20, -34], [-34, 48, 1], [1, 48, -34], [-34, 20, 15], [15, 40, -14], [-14, 44, 9], [9, 46, -9], [-9, 44, 14], [14, 40, -15], [-15, 20, 34], [34, 48, -1], [-1, 48, 34], [34, 20, -15], [-15, 40, 14], [14, 44, -9], [-9, 46, 9], [9, 44, -14], [-14, 40, 15]] (m)c.f.e: [-1, 48, -1, 2, -3, 5, -5, 3, -2, 1, -48, 1, -2, 3, -5, 5, -3, 2] number of reduced forms: 88 partition: [18, 22, 22, 26] ============================== d: 611 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 4, 2, 1, 2, 4, 1, 1, 2, 1, 48] Pell solution, x^2- 611 y^2= 1 : [236926, 9585] ---------- 14 cycle: [[23, 12, -25], [-25, 38, 10], [10, 42, -17], [-17, 26, 26], [26, 26, -17], [-17, 42, 10], [10, 38, -25], [-25, 12, 23], [23, 34, -14], [-14, 22, 35], [35, 48, -1], [-1, 48, 35], [35, 22, -14], [-14, 34, 23]] (m)c.f.e: [-1, 4, -2, 1, -2, 4, -1, 1, -2, 1, -48, 1, -2, 1] 14 cycle: [[-23, 12, 25], [25, 38, -10], [-10, 42, 17], [17, 26, -26], [-26, 26, 17], [17, 42, -10], [-10, 38, 25], [25, 12, -23], [-23, 34, 14], [14, 22, -35], [-35, 48, 1], [1, 48, -35], [-35, 22, 14], [14, 34, -23]] (m)c.f.e: [1, -4, 2, -1, 2, -4, 1, -1, 2, -1, 48, -1, 2, -1] 10 cycle: [[13, 26, -34], [-34, 42, 5], [5, 48, -7], [-7, 36, 41], [41, 46, -2], [-2, 46, 41], [41, 36, -7], [-7, 48, 5], [5, 42, -34], [-34, 26, 13]] (m)c.f.e: [-1, 9, -6, 1, -23, 1, -6, 9, -1, 2] 10 cycle: [[-13, 26, 34], [34, 42, -5], [-5, 48, 7], [7, 36, -41], [-41, 46, 2], [2, 46, -41], [-41, 36, 7], [7, 48, -5], [-5, 42, 34], [34, 26, -13]] (m)c.f.e: [1, -9, 6, -1, 23, -1, 6, -9, 1, -2] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 613 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 6, 1, 4, 1, 1, 1, 3, 2, 11, 1, 15, 1, 1, 2, 2, 1, 1, 15, 1, 11, 2, 3, 1, 1, 1, 4, 1, 6, 3, 1, 48] Pell solution, x^2- 613 y^2= -1 : [481673579088618, 19454612624065] ---------- 18 cycle: [[9, 17, -9], [-9, 19, 7], [7, 23, -3], [-3, 19, 21], [21, 23, -1], [-1, 23, 21], [21, 19, -3], [-3, 23, 7], [7, 19, -9], [-9, 17, 9], [9, 19, -7], [-7, 23, 3], [3, 19, -21], [-21, 23, 1], [1, 23, -21], [-21, 19, 3], [3, 23, -7], [-7, 19, 9]] (m)c.f.e: [-2, 3, -7, 1, -23, 1, -7, 3, -2, 2, -3, 7, -1, 23, -1, 7, -3, 2] number of reduced forms: 18 partition: [18] ============================== d: 614 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 1, 9, 2, 1, 4, 3, 1, 1, 2, 24, 2, 1, 1, 3, 4, 1, 2, 9, 1, 1, 3, 1, 48] Pell solution, x^2- 614 y^2= 1 : [348291186245, 14055888354] ---------- 26 cycle: [[23, 8, -26], [-26, 44, 5], [5, 46, -17], [-17, 22, 29], [29, 36, -10], [-10, 44, 13], [13, 34, -25], [-25, 16, 22], [22, 28, -19], [-19, 48, 2], [2, 48, -19], [-19, 28, 22], [22, 16, -25], [-25, 34, 13], [13, 44, -10], [-10, 36, 29], [29, 22, -17], [-17, 46, 5], [5, 44, -26], [-26, 8, 23], [23, 38, -11], [-11, 28, 38], [38, 48, -1], [-1, 48, 38], [38, 28, -11], [-11, 38, 23]] (m)c.f.e: [-1, 9, -2, 1, -4, 3, -1, 1, -2, 24, -2, 1, -1, 3, -4, 1, -2, 9, -1, 1, -3, 1, -48, 1, -3, 1] 26 cycle: [[-23, 8, 26], [26, 44, -5], [-5, 46, 17], [17, 22, -29], [-29, 36, 10], [10, 44, -13], [-13, 34, 25], [25, 16, -22], [-22, 28, 19], [19, 48, -2], [-2, 48, 19], [19, 28, -22], [-22, 16, 25], [25, 34, -13], [-13, 44, 10], [10, 36, -29], [-29, 22, 17], [17, 46, -5], [-5, 44, 26], [26, 8, -23], [-23, 38, 11], [11, 28, -38], [-38, 48, 1], [1, 48, -38], [-38, 28, 11], [11, 38, -23]] (m)c.f.e: [1, -9, 2, -1, 4, -3, 1, -1, 2, -24, 2, -1, 1, -3, 4, -1, 2, -9, 1, -1, 3, -1, 48, -1, 3, -1] number of reduced forms: 52 partition: [26, 26] ============================== d: 615 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 48] Pell solution, x^2- 615 y^2= 1 : [124, 5] ---------- 8 cycle: [[19, 16, -29], [-29, 42, 6], [6, 42, -29], [-29, 16, 19], [19, 22, -26], [-26, 30, 15], [15, 30, -26], [-26, 22, 19]] (m)c.f.e: [-1, 7, -1, 1, -1, 2, -1, 1] 8 cycle: [[-19, 16, 29], [29, 42, -6], [-6, 42, 29], [29, 16, -19], [-19, 22, 26], [26, 30, -15], [-15, 30, 26], [26, 22, -19]] (m)c.f.e: [1, -7, 1, -1, 1, -2, 1, -1] 4 cycle: [[10, 30, -39], [-39, 48, 1], [1, 48, -39], [-39, 30, 10]] (m)c.f.e: [-1, 48, -1, 3] 4 cycle: [[-10, 30, 39], [39, 48, -1], [-1, 48, 39], [39, 30, -10]] (m)c.f.e: [1, -48, 1, -3] 4 cycle: [[13, 30, -30], [-30, 30, 13], [13, 48, -3], [-3, 48, 13]] (m)c.f.e: [-1, 3, -16, 3] 4 cycle: [[-13, 30, 30], [30, 30, -13], [-13, 48, 3], [3, 48, -13]] (m)c.f.e: [1, -3, 16, -3] 4 cycle: [[5, 40, -43], [-43, 46, 2], [2, 46, -43], [-43, 40, 5]] (m)c.f.e: [-1, 23, -1, 8] 4 cycle: [[-5, 40, 43], [43, 46, -2], [-2, 46, 43], [43, 40, -5]] (m)c.f.e: [1, -23, 1, -8] number of reduced forms: 40 partition: [4, 4, 4, 4, 4, 4, 8, 8] ============================== d: 617 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 4, 2, 1, 6, 2, 2, 6, 1, 2, 4, 5, 1, 48] Pell solution, x^2- 617 y^2= -1 : [41009716, 1650989] ---------- 34 cycle: [[7, 13, -16], [-16, 19, 4], [4, 21, -11], [-11, 23, 2], [2, 21, -22], [-22, 23, 1], [1, 23, -22], [-22, 21, 2], [2, 23, -11], [-11, 21, 4], [4, 19, -16], [-16, 13, 7], [7, 15, -14], [-14, 13, 8], [8, 19, -8], [-8, 13, 14], [14, 15, -7], [-7, 13, 16], [16, 19, -4], [-4, 21, 11], [11, 23, -2], [-2, 21, 22], [22, 23, -1], [-1, 23, 22], [22, 21, -2], [-2, 23, 11], [11, 21, -4], [-4, 19, 16], [16, 13, -7], [-7, 15, 14], [14, 13, -8], [-8, 19, 8], [8, 13, -14], [-14, 15, 7]] (m)c.f.e: [-1, 5, -2, 11, -1, 23, -1, 11, -2, 5, -1, 2, -1, 2, -2, 1, -2, 1, -5, 2, -11, 1, -23, 1, -11, 2, -5, 1, -2, 1, -2, 2, -1, 2] number of reduced forms: 34 partition: [34] ============================== d: 618 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 8, 6, 1, 48] Pell solution, x^2- 618 y^2= 1 : [10093, 406] ---------- 6 cycle: [[7, 36, -42], [-42, 48, 1], [1, 48, -42], [-42, 36, 7], [7, 48, -6], [-6, 48, 7]] (m)c.f.e: [-1, 48, -1, 6, -8, 6] 6 cycle: [[-7, 36, 42], [42, 48, -1], [-1, 48, 42], [42, 36, -7], [-7, 48, 6], [6, 48, -7]] (m)c.f.e: [1, -48, 1, -6, 8, -6] 6 cycle: [[14, 36, -21], [-21, 48, 2], [2, 48, -21], [-21, 36, 14], [14, 48, -3], [-3, 48, 14]] (m)c.f.e: [-2, 24, -2, 3, -16, 3] 6 cycle: [[-14, 36, 21], [21, 48, -2], [-2, 48, 21], [21, 36, -14], [-14, 48, 3], [3, 48, -14]] (m)c.f.e: [2, -24, 2, -3, 16, -3] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 619 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 3, 5, 4, 1, 3, 1, 2, 1, 1, 9, 2, 1, 1, 1, 15, 1, 23, 1, 15, 1, 1, 1, 2, 9, 1, 1, 2, 1, 3, 1, 4, 5, 3, 7, 1, 48] Pell solution, x^2- 619 y^2= 1 : [517213510553282930, 20788566180548739] ---------- 38 cycle: [[22, 10, -27], [-27, 44, 5], [5, 46, -18], [-18, 26, 25], [25, 24, -19], [-19, 14, 30], [30, 46, -3], [-3, 44, 45], [45, 46, -2], [-2, 46, 45], [45, 44, -3], [-3, 46, 30], [30, 14, -19], [-19, 24, 25], [25, 26, -18], [-18, 46, 5], [5, 44, -27], [-27, 10, 22], [22, 34, -15], [-15, 26, 30], [30, 34, -11], [-11, 32, 33], [33, 34, -10], [-10, 46, 9], [9, 44, -15], [-15, 46, 6], [6, 38, -43], [-43, 48, 1], [1, 48, -43], [-43, 38, 6], [6, 46, -15], [-15, 44, 9], [9, 46, -10], [-10, 34, 33], [33, 32, -11], [-11, 34, 30], [30, 26, -15], [-15, 34, 22]] (m)c.f.e: [-1, 9, -2, 1, -1, 1, -15, 1, -23, 1, -15, 1, -1, 1, -2, 9, -1, 1, -2, 1, -3, 1, -4, 5, -3, 7, -1, 48, -1, 7, -3, 5, -4, 1, -3, 1, -2, 1] 38 cycle: [[-22, 10, 27], [27, 44, -5], [-5, 46, 18], [18, 26, -25], [-25, 24, 19], [19, 14, -30], [-30, 46, 3], [3, 44, -45], [-45, 46, 2], [2, 46, -45], [-45, 44, 3], [3, 46, -30], [-30, 14, 19], [19, 24, -25], [-25, 26, 18], [18, 46, -5], [-5, 44, 27], [27, 10, -22], [-22, 34, 15], [15, 26, -30], [-30, 34, 11], [11, 32, -33], [-33, 34, 10], [10, 46, -9], [-9, 44, 15], [15, 46, -6], [-6, 38, 43], [43, 48, -1], [-1, 48, 43], [43, 38, -6], [-6, 46, 15], [15, 44, -9], [-9, 46, 10], [10, 34, -33], [-33, 32, 11], [11, 34, -30], [-30, 26, 15], [15, 34, -22]] (m)c.f.e: [1, -9, 2, -1, 1, -1, 15, -1, 23, -1, 15, -1, 1, -1, 2, -9, 1, -1, 2, -1, 3, -1, 4, -5, 3, -7, 1, -48, 1, -7, 3, -5, 4, -1, 3, -1, 2, -1] number of reduced forms: 76 partition: [38, 38] ============================== d: 622 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 15, 1, 1, 1, 4, 1, 7, 2, 24, 2, 7, 1, 4, 1, 1, 1, 15, 1, 48] Pell solution, x^2- 622 y^2= 1 : [13804370063, 553504812] ---------- 20 cycle: [[18, 16, -31], [-31, 46, 3], [3, 44, -46], [-46, 48, 1], [1, 48, -46], [-46, 44, 3], [3, 46, -31], [-31, 16, 18], [18, 20, -29], [-29, 38, 9], [9, 34, -37], [-37, 40, 6], [6, 44, -23], [-23, 48, 2], [2, 48, -23], [-23, 44, 6], [6, 40, -37], [-37, 34, 9], [9, 38, -29], [-29, 20, 18]] (m)c.f.e: [-1, 15, -1, 48, -1, 15, -1, 1, -1, 4, -1, 7, -2, 24, -2, 7, -1, 4, -1, 1] 20 cycle: [[-18, 16, 31], [31, 46, -3], [-3, 44, 46], [46, 48, -1], [-1, 48, 46], [46, 44, -3], [-3, 46, 31], [31, 16, -18], [-18, 20, 29], [29, 38, -9], [-9, 34, 37], [37, 40, -6], [-6, 44, 23], [23, 48, -2], [-2, 48, 23], [23, 44, -6], [-6, 40, 37], [37, 34, -9], [-9, 38, 29], [29, 20, -18]] (m)c.f.e: [1, -15, 1, -48, 1, -15, 1, -1, 1, -4, 1, -7, 2, -24, 2, -7, 1, -4, 1, -1] number of reduced forms: 40 partition: [20, 20] ============================== d: 623 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 23, 1, 48] Pell solution, x^2- 623 y^2= 1 : [624, 25] ---------- 8 cycle: [[23, 10, -26], [-26, 42, 7], [7, 42, -26], [-26, 10, 23], [23, 36, -13], [-13, 42, 14], [14, 42, -13], [-13, 36, 23]] (m)c.f.e: [-1, 6, -1, 1, -3, 3, -3, 1] 8 cycle: [[-23, 10, 26], [26, 42, -7], [-7, 42, 26], [26, 10, -23], [-23, 36, 13], [13, 42, -14], [-14, 42, 13], [13, 36, -23]] (m)c.f.e: [1, -6, 1, -1, 3, -3, 3, -1] 4 cycle: [[2, 46, -47], [-47, 48, 1], [1, 48, -47], [-47, 46, 2]] (m)c.f.e: [-1, 48, -1, 23] 4 cycle: [[-2, 46, 47], [47, 48, -1], [-1, 48, 47], [47, 46, -2]] (m)c.f.e: [1, -48, 1, -23] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 626 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [50] Pell solution, x^2- 626 y^2= -1 : [25, 1] ---------- 6 cycle: [[25, 2, -25], [-25, 48, 2], [2, 48, -25], [-25, 2, 25], [25, 48, -2], [-2, 48, 25]] (m)c.f.e: [-1, 24, -1, 1, -24, 1] 6 cycle: [[10, 32, -37], [-37, 42, 5], [5, 48, -10], [-10, 32, 37], [37, 42, -5], [-5, 48, 10]] (m)c.f.e: [-1, 9, -4, 1, -9, 4] 6 cycle: [[37, 32, -10], [-10, 48, 5], [5, 42, -37], [-37, 32, 10], [10, 48, -5], [-5, 42, 37]] (m)c.f.e: [-4, 9, -1, 4, -9, 1] 2 cycle: [[1, 50, -1], [-1, 50, 1]] (m)c.f.e: [-50, 50] number of reduced forms: 20 partition: [2, 6, 6, 6] ============================== d: 627 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [25, 50] Pell solution, x^2- 627 y^2= 1 : [626, 25] ---------- 10 cycle: [[21, 18, -26], [-26, 34, 13], [13, 44, -11], [-11, 44, 13], [13, 34, -26], [-26, 18, 21], [21, 24, -23], [-23, 22, 22], [22, 22, -23], [-23, 24, 21]] (m)c.f.e: [-1, 3, -4, 3, -1, 1, -1, 1, -1, 1] 10 cycle: [[-21, 18, 26], [26, 34, -13], [-13, 44, 11], [11, 44, -13], [-13, 34, 26], [26, 18, -21], [-21, 24, 23], [23, 22, -22], [-22, 22, 23], [23, 24, -21]] (m)c.f.e: [1, -3, 4, -3, 1, -1, 1, -1, 1, -1] 6 cycle: [[17, 20, -31], [-31, 42, 6], [6, 42, -31], [-31, 20, 17], [17, 48, -3], [-3, 48, 17]] (m)c.f.e: [-1, 7, -1, 2, -16, 2] 6 cycle: [[-17, 20, 31], [31, 42, -6], [-6, 42, 31], [31, 20, -17], [-17, 48, 3], [3, 48, -17]] (m)c.f.e: [1, -7, 1, -2, 16, -2] 6 cycle: [[7, 38, -38], [-38, 38, 7], [7, 46, -14], [-14, 38, 19], [19, 38, -14], [-14, 46, 7]] (m)c.f.e: [-1, 6, -3, 2, -3, 6] 6 cycle: [[-7, 38, 38], [38, 38, -7], [-7, 46, 14], [14, 38, -19], [-19, 38, 14], [14, 46, -7]] (m)c.f.e: [1, -6, 3, -2, 3, -6] 2 cycle: [[1, 50, -2], [-2, 50, 1]] (m)c.f.e: [-25, 50] 2 cycle: [[-1, 50, 2], [2, 50, -1]] (m)c.f.e: [25, -50] number of reduced forms: 48 partition: [2, 2, 6, 6, 6, 6, 10, 10] ============================== d: 629 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [12, 1, 1, 12, 50] Pell solution, x^2- 629 y^2= -1 : [7850, 313] ---------- 6 cycle: [[5, 17, -17], [-17, 17, 5], [5, 23, -5], [-5, 17, 17], [17, 17, -5], [-5, 23, 5]] (m)c.f.e: [-1, 4, -4, 1, -4, 4] 2 cycle: [[1, 25, -1], [-1, 25, 1]] (m)c.f.e: [-25, 25] number of reduced forms: 8 partition: [2, 6] ============================== d: 631 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 2, 1, 4, 1, 9, 4, 2, 6, 1, 2, 1, 2, 1, 1, 1, 1, 4, 2, 2, 2, 1, 16, 25, 16, 1, 2, 2, 2, 4, 1, 1, 1, 1, 2, 1, 2, 1, 6, 2, 4, 9, 1, 4, 1, 2, 8, 50] Pell solution, x^2- 631 y^2= 1 : [48961575312998650035560, 1949129537575151036427] ---------- 48 cycle: [[21, 16, -27], [-27, 38, 10], [10, 42, -19], [-19, 34, 18], [18, 38, -15], [-15, 22, 34], [34, 46, -3], [-3, 50, 2], [2, 50, -3], [-3, 46, 34], [34, 22, -15], [-15, 38, 18], [18, 34, -19], [-19, 42, 10], [10, 38, -27], [-27, 16, 21], [21, 26, -22], [-22, 18, 25], [25, 32, -15], [-15, 28, 29], [29, 30, -14], [-14, 26, 33], [33, 40, -7], [-7, 44, 21], [21, 40, -11], [-11, 48, 5], [5, 42, -38], [-38, 34, 9], [9, 38, -30], [-30, 22, 17], [17, 46, -6], [-6, 50, 1], [1, 50, -6], [-6, 46, 17], [17, 22, -30], [-30, 38, 9], [9, 34, -38], [-38, 42, 5], [5, 48, -11], [-11, 40, 21], [21, 44, -7], [-7, 40, 33], [33, 26, -14], [-14, 30, 29], [29, 28, -15], [-15, 32, 25], [25, 18, -22], [-22, 26, 21]] (m)c.f.e: [-1, 4, -2, 2, -2, 1, -16, 25, -16, 1, -2, 2, -2, 4, -1, 1, -1, 1, -2, 1, -2, 1, -6, 2, -4, 9, -1, 4, -1, 2, -8, 50, -8, 2, -1, 4, -1, 9, -4, 2, -6, 1, -2, 1, -2, 1, -1, 1] 48 cycle: [[-21, 16, 27], [27, 38, -10], [-10, 42, 19], [19, 34, -18], [-18, 38, 15], [15, 22, -34], [-34, 46, 3], [3, 50, -2], [-2, 50, 3], [3, 46, -34], [-34, 22, 15], [15, 38, -18], [-18, 34, 19], [19, 42, -10], [-10, 38, 27], [27, 16, -21], [-21, 26, 22], [22, 18, -25], [-25, 32, 15], [15, 28, -29], [-29, 30, 14], [14, 26, -33], [-33, 40, 7], [7, 44, -21], [-21, 40, 11], [11, 48, -5], [-5, 42, 38], [38, 34, -9], [-9, 38, 30], [30, 22, -17], [-17, 46, 6], [6, 50, -1], [-1, 50, 6], [6, 46, -17], [-17, 22, 30], [30, 38, -9], [-9, 34, 38], [38, 42, -5], [-5, 48, 11], [11, 40, -21], [-21, 44, 7], [7, 40, -33], [-33, 26, 14], [14, 30, -29], [-29, 28, 15], [15, 32, -25], [-25, 18, 22], [22, 26, -21]] (m)c.f.e: [1, -4, 2, -2, 2, -1, 16, -25, 16, -1, 2, -2, 2, -4, 1, -1, 1, -1, 2, -1, 2, -1, 6, -2, 4, -9, 1, -4, 1, -2, 8, -50, 8, -2, 1, -4, 1, -9, 4, -2, 6, -1, 2, -1, 2, -1, 1, -1] number of reduced forms: 96 partition: [48, 48] ============================== d: 633 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 3, 1, 2, 2, 1, 1, 2, 16, 2, 1, 1, 2, 2, 1, 3, 6, 50] Pell solution, x^2- 633 y^2= 1 : [440772247, 17519124] ---------- 18 cycle: [[12, 3, -13], [-13, 23, 2], [2, 25, -1], [-1, 25, 2], [2, 23, -13], [-13, 3, 12], [12, 21, -4], [-4, 19, 17], [17, 15, -6], [-6, 21, 8], [8, 11, -16], [-16, 21, 3], [3, 21, -16], [-16, 11, 8], [8, 21, -6], [-6, 15, 17], [17, 19, -4], [-4, 21, 12]] (m)c.f.e: [-1, 12, -25, 12, -1, 1, -5, 1, -3, 2, -1, 7, -1, 2, -3, 1, -5, 1] 18 cycle: [[-12, 3, 13], [13, 23, -2], [-2, 25, 1], [1, 25, -2], [-2, 23, 13], [13, 3, -12], [-12, 21, 4], [4, 19, -17], [-17, 15, 6], [6, 21, -8], [-8, 11, 16], [16, 21, -3], [-3, 21, 16], [16, 11, -8], [-8, 21, 6], [6, 15, -17], [-17, 19, 4], [4, 21, -12]] (m)c.f.e: [1, -12, 25, -12, 1, -1, 5, -1, 3, -2, 1, -7, 1, -2, 3, -1, 5, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 634 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 1, 2, 1, 4, 3, 6, 1, 7, 1, 1, 7, 1, 6, 3, 4, 1, 2, 1, 1, 5, 50] Pell solution, x^2- 634 y^2= -1 : [65999458125, 2621173333] ---------- 46 cycle: [[25, 6, -25], [-25, 44, 6], [6, 40, -39], [-39, 38, 7], [7, 46, -15], [-15, 44, 10], [10, 36, -31], [-31, 26, 15], [15, 34, -23], [-23, 12, 26], [26, 40, -9], [-9, 50, 1], [1, 50, -9], [-9, 40, 26], [26, 12, -23], [-23, 34, 15], [15, 26, -31], [-31, 36, 10], [10, 44, -15], [-15, 46, 7], [7, 38, -39], [-39, 40, 6], [6, 44, -25], [-25, 6, 25], [25, 44, -6], [-6, 40, 39], [39, 38, -7], [-7, 46, 15], [15, 44, -10], [-10, 36, 31], [31, 26, -15], [-15, 34, 23], [23, 12, -26], [-26, 40, 9], [9, 50, -1], [-1, 50, 9], [9, 40, -26], [-26, 12, 23], [23, 34, -15], [-15, 26, 31], [31, 36, -10], [-10, 44, 15], [15, 46, -7], [-7, 38, 39], [39, 40, -6], [-6, 44, 25]] (m)c.f.e: [-1, 7, -1, 6, -3, 4, -1, 2, -1, 1, -5, 50, -5, 1, -1, 2, -1, 4, -3, 6, -1, 7, -1, 1, -7, 1, -6, 3, -4, 1, -2, 1, -1, 5, -50, 5, -1, 1, -2, 1, -4, 3, -6, 1, -7, 1] 50 cycle: [[21, 10, -29], [-29, 48, 2], [2, 48, -29], [-29, 10, 21], [21, 32, -18], [-18, 40, 13], [13, 38, -21], [-21, 46, 5], [5, 44, -30], [-30, 16, 19], [19, 22, -27], [-27, 32, 14], [14, 24, -35], [-35, 46, 3], [3, 50, -3], [-3, 46, 35], [35, 24, -14], [-14, 32, 27], [27, 22, -19], [-19, 16, 30], [30, 44, -5], [-5, 46, 21], [21, 38, -13], [-13, 40, 18], [18, 32, -21], [-21, 10, 29], [29, 48, -2], [-2, 48, 29], [29, 10, -21], [-21, 32, 18], [18, 40, -13], [-13, 38, 21], [21, 46, -5], [-5, 44, 30], [30, 16, -19], [-19, 22, 27], [27, 32, -14], [-14, 24, 35], [35, 46, -3], [-3, 50, 3], [3, 46, -35], [-35, 24, 14], [14, 32, -27], [-27, 22, 19], [19, 16, -30], [-30, 44, 5], [5, 46, -21], [-21, 38, 13], [13, 40, -18], [-18, 32, 21]] (m)c.f.e: [-1, 24, -1, 1, -2, 3, -2, 9, -1, 1, -1, 2, -1, 16, -16, 1, -2, 1, -1, 1, -9, 2, -3, 2, -1, 1, -24, 1, -1, 2, -3, 2, -9, 1, -1, 1, -2, 1, -16, 16, -1, 2, -1, 1, -1, 9, -2, 3, -2, 1] number of reduced forms: 96 partition: [46, 50] ============================== d: 635 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 50] Pell solution, x^2- 635 y^2= 1 : [126, 5] ---------- 2 cycle: [[1, 50, -10], [-10, 50, 1]] (m)c.f.e: [-5, 50] 2 cycle: [[-1, 50, 10], [10, 50, -1]] (m)c.f.e: [5, -50] 2 cycle: [[2, 50, -5], [-5, 50, 2]] (m)c.f.e: [-10, 25] 2 cycle: [[-2, 50, 5], [5, 50, -2]] (m)c.f.e: [10, -25] number of reduced forms: 8 partition: [2, 2, 2, 2] ============================== d: 638 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 6, 2, 6, 1, 3, 50] Pell solution, x^2- 638 y^2= 1 : [42283, 1674] ---------- 12 cycle: [[19, 14, -31], [-31, 48, 2], [2, 48, -31], [-31, 14, 19], [19, 24, -26], [-26, 28, 17], [17, 40, -14], [-14, 44, 11], [11, 44, -14], [-14, 40, 17], [17, 28, -26], [-26, 24, 19]] (m)c.f.e: [-1, 24, -1, 1, -1, 2, -3, 4, -3, 2, -1, 1] 12 cycle: [[-19, 14, 31], [31, 48, -2], [-2, 48, 31], [31, 14, -19], [-19, 24, 26], [26, 28, -17], [-17, 40, 14], [14, 44, -11], [-11, 44, 14], [14, 40, -17], [-17, 28, 26], [26, 24, -19]] (m)c.f.e: [1, -24, 1, -1, 1, -2, 3, -4, 3, -2, 1, -1] 8 cycle: [[13, 28, -34], [-34, 40, 7], [7, 44, -22], [-22, 44, 7], [7, 40, -34], [-34, 28, 13], [13, 50, -1], [-1, 50, 13]] (m)c.f.e: [-1, 6, -2, 6, -1, 3, -50, 3] 8 cycle: [[-13, 28, 34], [34, 40, -7], [-7, 44, 22], [22, 44, -7], [-7, 40, 34], [34, 28, -13], [-13, 50, 1], [1, 50, -13]] (m)c.f.e: [1, -6, 2, -6, 1, -3, 50, -3] number of reduced forms: 40 partition: [8, 8, 12, 12] ============================== d: 641 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 6, 1, 9, 3, 1, 3, 1, 5, 1, 1, 5, 1, 3, 1, 3, 9, 1, 6, 3, 50] Pell solution, x^2- 641 y^2= -1 : [36120833468, 1426687145] ---------- 46 cycle: [[11, 5, -14], [-14, 23, 2], [2, 25, -2], [-2, 23, 14], [14, 5, -11], [-11, 17, 8], [8, 15, -13], [-13, 11, 10], [10, 9, -14], [-14, 19, 5], [5, 21, -10], [-10, 19, 7], [7, 23, -4], [-4, 25, 1], [1, 25, -4], [-4, 23, 7], [7, 19, -10], [-10, 21, 5], [5, 19, -14], [-14, 9, 10], [10, 11, -13], [-13, 15, 8], [8, 17, -11], [-11, 5, 14], [14, 23, -2], [-2, 25, 2], [2, 23, -14], [-14, 5, 11], [11, 17, -8], [-8, 15, 13], [13, 11, -10], [-10, 9, 14], [14, 19, -5], [-5, 21, 10], [10, 19, -7], [-7, 23, 4], [4, 25, -1], [-1, 25, 4], [4, 23, -7], [-7, 19, 10], [10, 21, -5], [-5, 19, 14], [14, 9, -10], [-10, 11, 13], [13, 15, -8], [-8, 17, 11]] (m)c.f.e: [-1, 12, -12, 1, -1, 2, -1, 1, -1, 4, -2, 3, -6, 25, -6, 3, -2, 4, -1, 1, -1, 2, -1, 1, -12, 12, -1, 1, -2, 1, -1, 1, -4, 2, -3, 6, -25, 6, -3, 2, -4, 1, -1, 1, -2, 1] number of reduced forms: 46 partition: [46] ============================== d: 642 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 24, 1, 2, 50] Pell solution, x^2- 642 y^2= 1 : [5777, 228] ---------- 6 cycle: [[17, 18, -33], [-33, 48, 2], [2, 48, -33], [-33, 18, 17], [17, 50, -1], [-1, 50, 17]] (m)c.f.e: [-1, 24, -1, 2, -50, 2] 6 cycle: [[-17, 18, 33], [33, 48, -2], [-2, 48, 33], [33, 18, -17], [-17, 50, 1], [1, 50, -17]] (m)c.f.e: [1, -24, 1, -2, 50, -2] 6 cycle: [[11, 40, -22], [-22, 48, 3], [3, 48, -22], [-22, 40, 11], [11, 48, -6], [-6, 48, 11]] (m)c.f.e: [-2, 16, -2, 4, -8, 4] 6 cycle: [[-11, 40, 22], [22, 48, -3], [-3, 48, 22], [22, 40, -11], [-11, 48, 6], [6, 48, -11]] (m)c.f.e: [2, -16, 2, -4, 8, -4] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 643 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 3, 1, 16, 8, 2, 1, 1, 5, 25, 5, 1, 1, 2, 8, 16, 1, 3, 1, 2, 50] Pell solution, x^2- 643 y^2= 1 : [1988960193026, 78436933185] ---------- 22 cycle: [[22, 14, -27], [-27, 40, 9], [9, 50, -2], [-2, 50, 9], [9, 40, -27], [-27, 14, 22], [22, 30, -19], [-19, 46, 6], [6, 50, -3], [-3, 46, 38], [38, 30, -11], [-11, 36, 29], [29, 22, -18], [-18, 50, 1], [1, 50, -18], [-18, 22, 29], [29, 36, -11], [-11, 30, 38], [38, 46, -3], [-3, 50, 6], [6, 46, -19], [-19, 30, 22]] (m)c.f.e: [-1, 5, -25, 5, -1, 1, -2, 8, -16, 1, -3, 1, -2, 50, -2, 1, -3, 1, -16, 8, -2, 1] 22 cycle: [[-22, 14, 27], [27, 40, -9], [-9, 50, 2], [2, 50, -9], [-9, 40, 27], [27, 14, -22], [-22, 30, 19], [19, 46, -6], [-6, 50, 3], [3, 46, -38], [-38, 30, 11], [11, 36, -29], [-29, 22, 18], [18, 50, -1], [-1, 50, 18], [18, 22, -29], [-29, 36, 11], [11, 30, -38], [-38, 46, 3], [3, 50, -6], [-6, 46, 19], [19, 30, -22]] (m)c.f.e: [1, -5, 25, -5, 1, -1, 2, -8, 16, -1, 3, -1, 2, -50, 2, -1, 3, -1, 16, -8, 2, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 645 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 12, 10, 12, 1, 1, 2, 50] Pell solution, x^2- 645 y^2= 1 : [1024001, 40320] ---------- 6 cycle: [[7, 13, -17], [-17, 21, 3], [3, 21, -17], [-17, 13, 7], [7, 15, -15], [-15, 15, 7]] (m)c.f.e: [-1, 7, -1, 2, -1, 2] 6 cycle: [[-7, 13, 17], [17, 21, -3], [-3, 21, 17], [17, 13, -7], [-7, 15, 15], [15, 15, -7]] (m)c.f.e: [1, -7, 1, -2, 1, -2] 2 cycle: [[1, 25, -5], [-5, 25, 1]] (m)c.f.e: [-5, 25] 2 cycle: [[-1, 25, 5], [5, 25, -1]] (m)c.f.e: [5, -25] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 646 number of cycles (narrow class number): 16 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 2, 50] Pell solution, x^2- 646 y^2= 1 : [305, 12] ---------- 6 cycle: [[23, 10, -27], [-27, 44, 6], [6, 40, -41], [-41, 42, 5], [5, 48, -14], [-14, 36, 23]] (m)c.f.e: [-1, 7, -1, 9, -3, 1] 6 cycle: [[-23, 10, 27], [27, 44, -6], [-6, 40, 41], [41, 42, -5], [-5, 48, 14], [14, 36, -23]] (m)c.f.e: [1, -7, 1, -9, 3, -1] 6 cycle: [[27, 10, -23], [-23, 36, 14], [14, 48, -5], [-5, 42, 41], [41, 40, -6], [-6, 44, 27]] (m)c.f.e: [-1, 3, -9, 1, -7, 1] 6 cycle: [[-27, 10, 23], [23, 36, -14], [-14, 48, 5], [5, 42, -41], [-41, 40, 6], [6, 44, -27]] (m)c.f.e: [1, -3, 9, -1, 7, -1] 8 cycle: [[21, 20, -26], [-26, 32, 15], [15, 28, -30], [-30, 32, 13], [13, 46, -9], [-9, 44, 18], [18, 28, -25], [-25, 22, 21]] (m)c.f.e: [-1, 2, -1, 3, -5, 2, -1, 1] 8 cycle: [[-21, 20, 26], [26, 32, -15], [-15, 28, 30], [30, 32, -13], [-13, 46, 9], [9, 44, -18], [-18, 28, 25], [25, 22, -21]] (m)c.f.e: [1, -2, 1, -3, 5, -2, 1, -1] 8 cycle: [[26, 20, -21], [-21, 22, 25], [25, 28, -18], [-18, 44, 9], [9, 46, -13], [-13, 32, 30], [30, 28, -15], [-15, 32, 26]] (m)c.f.e: [-1, 1, -2, 5, -3, 1, -2, 1] 8 cycle: [[-26, 20, 21], [21, 22, -25], [-25, 28, 18], [18, 44, -9], [-9, 46, 13], [13, 32, -30], [-30, 28, 15], [15, 32, -26]] (m)c.f.e: [1, -1, 2, -5, 3, -1, 2, -1] 6 cycle: [[15, 22, -35], [-35, 48, 2], [2, 48, -35], [-35, 22, 15], [15, 38, -19], [-19, 38, 15]] (m)c.f.e: [-1, 24, -1, 2, -2, 2] 6 cycle: [[-15, 22, 35], [35, 48, -2], [-2, 48, 35], [35, 22, -15], [-15, 38, 19], [19, 38, -15]] (m)c.f.e: [1, -24, 1, -2, 2, -2] 4 cycle: [[10, 32, -39], [-39, 46, 3], [3, 50, -7], [-7, 48, 10]] (m)c.f.e: [-1, 16, -7, 4] 4 cycle: [[-10, 32, 39], [39, 46, -3], [-3, 50, 7], [7, 48, -10]] (m)c.f.e: [1, -16, 7, -4] 4 cycle: [[39, 32, -10], [-10, 48, 7], [7, 50, -3], [-3, 46, 39]] (m)c.f.e: [-4, 7, -16, 1] 4 cycle: [[-39, 32, 10], [10, 48, -7], [-7, 50, 3], [3, 46, -39]] (m)c.f.e: [4, -7, 16, -1] 4 cycle: [[17, 34, -21], [-21, 50, 1], [1, 50, -21], [-21, 34, 17]] (m)c.f.e: [-2, 50, -2, 2] 4 cycle: [[-17, 34, 21], [21, 50, -1], [-1, 50, 21], [21, 34, -17]] (m)c.f.e: [2, -50, 2, -2] number of reduced forms: 92 partition: [4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8] ============================== d: 647 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 2, 2, 1, 1, 4, 25, 4, 1, 1, 2, 2, 3, 2, 50] Pell solution, x^2- 647 y^2= 1 : [120187368, 4725053] ---------- 16 cycle: [[23, 14, -26], [-26, 38, 11], [11, 50, -2], [-2, 50, 11], [11, 38, -26], [-26, 14, 23], [23, 32, -17], [-17, 36, 19], [19, 40, -13], [-13, 38, 22], [22, 50, -1], [-1, 50, 22], [22, 38, -13], [-13, 40, 19], [19, 36, -17], [-17, 32, 23]] (m)c.f.e: [-1, 4, -25, 4, -1, 1, -2, 2, -3, 2, -50, 2, -3, 2, -2, 1] 16 cycle: [[-23, 14, 26], [26, 38, -11], [-11, 50, 2], [2, 50, -11], [-11, 38, 26], [26, 14, -23], [-23, 32, 17], [17, 36, -19], [-19, 40, 13], [13, 38, -22], [-22, 50, 1], [1, 50, -22], [-22, 38, 13], [13, 40, -19], [-19, 36, 17], [17, 32, -23]] (m)c.f.e: [1, -4, 25, -4, 1, -1, 2, -2, 3, -2, 50, -2, 3, -2, 2, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 649 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 9, 1, 2, 3, 1, 1, 2, 1, 4, 1, 16, 6, 3, 4, 3, 6, 16, 1, 4, 1, 2, 1, 1, 3, 2, 1, 9, 2, 50] Pell solution, x^2- 649 y^2= 1 : [1123593226162199, 44104892095380] ---------- 34 cycle: [[12, 5, -13], [-13, 21, 4], [4, 19, -18], [-18, 17, 5], [5, 23, -6], [-6, 25, 1], [1, 25, -6], [-6, 23, 5], [5, 17, -18], [-18, 19, 4], [4, 21, -13], [-13, 5, 12], [12, 19, -6], [-6, 17, 15], [15, 13, -8], [-8, 19, 9], [9, 17, -10], [-10, 23, 3], [3, 25, -2], [-2, 23, 15], [15, 7, -10], [-10, 13, 12], [12, 11, -11], [-11, 11, 12], [12, 13, -10], [-10, 7, 15], [15, 23, -2], [-2, 25, 3], [3, 23, -10], [-10, 17, 9], [9, 19, -8], [-8, 13, 15], [15, 17, -6], [-6, 19, 12]] (m)c.f.e: [-1, 5, -1, 4, -4, 25, -4, 4, -1, 5, -1, 1, -3, 1, -2, 2, -2, 8, -12, 1, -1, 1, -1, 1, -1, 1, -12, 8, -2, 2, -2, 1, -3, 1] 34 cycle: [[-12, 5, 13], [13, 21, -4], [-4, 19, 18], [18, 17, -5], [-5, 23, 6], [6, 25, -1], [-1, 25, 6], [6, 23, -5], [-5, 17, 18], [18, 19, -4], [-4, 21, 13], [13, 5, -12], [-12, 19, 6], [6, 17, -15], [-15, 13, 8], [8, 19, -9], [-9, 17, 10], [10, 23, -3], [-3, 25, 2], [2, 23, -15], [-15, 7, 10], [10, 13, -12], [-12, 11, 11], [11, 11, -12], [-12, 13, 10], [10, 7, -15], [-15, 23, 2], [2, 25, -3], [-3, 23, 10], [10, 17, -9], [-9, 19, 8], [8, 13, -15], [-15, 17, 6], [6, 19, -12]] (m)c.f.e: [1, -5, 1, -4, 4, -25, 4, -4, 1, -5, 1, -1, 3, -1, 2, -2, 2, -8, 12, -1, 1, -1, 1, -1, 1, -1, 12, -8, 2, -2, 2, -1, 3, -1] number of reduced forms: 68 partition: [34, 34] ============================== d: 651 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 16, 1, 1, 50] Pell solution, x^2- 651 y^2= 1 : [1735, 68] ---------- 6 cycle: [[25, 2, -26], [-26, 50, 1], [1, 50, -26], [-26, 2, 25], [25, 48, -3], [-3, 48, 25]] (m)c.f.e: [-1, 50, -1, 1, -16, 1] 6 cycle: [[-25, 2, 26], [26, 50, -1], [-1, 50, 26], [26, 2, -25], [-25, 48, 3], [3, 48, -25]] (m)c.f.e: [1, -50, 1, -1, 16, -1] 10 cycle: [[19, 18, -30], [-30, 42, 7], [7, 42, -30], [-30, 18, 19], [19, 20, -29], [-29, 38, 10], [10, 42, -21], [-21, 42, 10], [10, 38, -29], [-29, 20, 19]] (m)c.f.e: [-1, 6, -1, 1, -1, 4, -2, 4, -1, 1] 10 cycle: [[-19, 18, 30], [30, 42, -7], [-7, 42, 30], [30, 18, -19], [-19, 20, 29], [29, 38, -10], [-10, 42, 21], [21, 42, -10], [-10, 38, 29], [29, 20, -19]] (m)c.f.e: [1, -6, 1, -1, 1, -4, 2, -4, 1, -1] 6 cycle: [[13, 28, -35], [-35, 42, 6], [6, 42, -35], [-35, 28, 13], [13, 50, -2], [-2, 50, 13]] (m)c.f.e: [-1, 7, -1, 3, -25, 3] 6 cycle: [[-13, 28, 35], [35, 42, -6], [-6, 42, 35], [35, 28, -13], [-13, 50, 2], [2, 50, -13]] (m)c.f.e: [1, -7, 1, -3, 25, -3] 6 cycle: [[5, 42, -42], [-42, 42, 5], [5, 48, -15], [-15, 42, 14], [14, 42, -15], [-15, 48, 5]] (m)c.f.e: [-1, 9, -3, 3, -3, 9] 6 cycle: [[-5, 42, 42], [42, 42, -5], [-5, 48, 15], [15, 42, -14], [-14, 42, 15], [15, 48, -5]] (m)c.f.e: [1, -9, 3, -3, 3, -9] number of reduced forms: 56 partition: [6, 6, 6, 6, 6, 6, 10, 10] ============================== d: 653 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 4, 7, 12, 1, 1, 1, 3, 3, 1, 1, 1, 12, 7, 4, 1, 1, 50] Pell solution, x^2- 653 y^2= -1 : [2291286382, 89664965] ---------- 14 cycle: [[11, 9, -13], [-13, 17, 7], [7, 25, -1], [-1, 25, 7], [7, 17, -13], [-13, 9, 11], [11, 13, -11], [-11, 9, 13], [13, 17, -7], [-7, 25, 1], [1, 25, -7], [-7, 17, 13], [13, 9, -11], [-11, 13, 11]] (m)c.f.e: [-1, 3, -25, 3, -1, 1, -1, 1, -3, 25, -3, 1, -1, 1] number of reduced forms: 14 partition: [14] ============================== d: 654 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 9, 1, 1, 16, 1, 1, 9, 1, 2, 1, 1, 50] Pell solution, x^2- 654 y^2= 1 : [8915765, 348634] ---------- 16 cycle: [[25, 4, -26], [-26, 48, 3], [3, 48, -26], [-26, 4, 25], [25, 46, -5], [-5, 44, 34], [34, 24, -15], [-15, 36, 22], [22, 8, -29], [-29, 50, 1], [1, 50, -29], [-29, 8, 22], [22, 36, -15], [-15, 24, 34], [34, 44, -5], [-5, 46, 25]] (m)c.f.e: [-1, 16, -1, 1, -9, 1, -2, 1, -1, 50, -1, 1, -2, 1, -9, 1] 16 cycle: [[-25, 4, 26], [26, 48, -3], [-3, 48, 26], [26, 4, -25], [-25, 46, 5], [5, 44, -34], [-34, 24, 15], [15, 36, -22], [-22, 8, 29], [29, 50, -1], [-1, 50, 29], [29, 8, -22], [-22, 36, 15], [15, 24, -34], [-34, 44, 5], [5, 46, -25]] (m)c.f.e: [1, -16, 1, -1, 9, -1, 2, -1, 1, -50, 1, -1, 2, -1, 9, -1] 16 cycle: [[17, 24, -30], [-30, 36, 11], [11, 30, -39], [-39, 48, 2], [2, 48, -39], [-39, 30, 11], [11, 36, -30], [-30, 24, 17], [17, 44, -10], [-10, 36, 33], [33, 30, -13], [-13, 48, 6], [6, 48, -13], [-13, 30, 33], [33, 36, -10], [-10, 44, 17]] (m)c.f.e: [-1, 3, -1, 24, -1, 3, -1, 2, -4, 1, -3, 8, -3, 1, -4, 2] 16 cycle: [[-17, 24, 30], [30, 36, -11], [-11, 30, 39], [39, 48, -2], [-2, 48, 39], [39, 30, -11], [-11, 36, 30], [30, 24, -17], [-17, 44, 10], [10, 36, -33], [-33, 30, 13], [13, 48, -6], [-6, 48, 13], [13, 30, -33], [-33, 36, 10], [10, 44, -17]] (m)c.f.e: [1, -3, 1, -24, 1, -3, 1, -2, 4, -1, 3, -8, 3, -1, 4, -2] number of reduced forms: 64 partition: [16, 16, 16, 16] ============================== d: 655 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 5, 3, 2, 8, 10, 8, 2, 3, 5, 2, 1, 1, 50] Pell solution, x^2- 655 y^2= 1 : [737709209, 28824684] ---------- 16 cycle: [[21, 10, -30], [-30, 50, 1], [1, 50, -30], [-30, 10, 21], [21, 32, -19], [-19, 44, 9], [9, 46, -14], [-14, 38, 21], [21, 46, -6], [-6, 50, 5], [5, 50, -6], [-6, 46, 21], [21, 38, -14], [-14, 46, 9], [9, 44, -19], [-19, 32, 21]] (m)c.f.e: [-1, 50, -1, 1, -2, 5, -3, 2, -8, 10, -8, 2, -3, 5, -2, 1] 16 cycle: [[-21, 10, 30], [30, 50, -1], [-1, 50, 30], [30, 10, -21], [-21, 32, 19], [19, 44, -9], [-9, 46, 14], [14, 38, -21], [-21, 46, 6], [6, 50, -5], [-5, 50, 6], [6, 46, -21], [-21, 38, 14], [14, 46, -9], [-9, 44, 19], [19, 32, -21]] (m)c.f.e: [1, -50, 1, -1, 2, -5, 3, -2, 8, -10, 8, -2, 3, -5, 2, -1] 16 cycle: [[18, 26, -27], [-27, 28, 17], [17, 40, -15], [-15, 50, 2], [2, 50, -15], [-15, 40, 17], [17, 28, -27], [-27, 26, 18], [18, 46, -7], [-7, 38, 42], [42, 46, -3], [-3, 50, 10], [10, 50, -3], [-3, 46, 42], [42, 38, -7], [-7, 46, 18]] (m)c.f.e: [-1, 2, -3, 25, -3, 2, -1, 2, -6, 1, -16, 5, -16, 1, -6, 2] 16 cycle: [[-18, 26, 27], [27, 28, -17], [-17, 40, 15], [15, 50, -2], [-2, 50, 15], [15, 40, -17], [-17, 28, 27], [27, 26, -18], [-18, 46, 7], [7, 38, -42], [-42, 46, 3], [3, 50, -10], [-10, 50, 3], [3, 46, -42], [-42, 38, 7], [7, 46, -18]] (m)c.f.e: [1, -2, 3, -25, 3, -2, 1, -2, 6, -1, 16, -5, 16, -1, 6, -2] number of reduced forms: 64 partition: [16, 16, 16, 16] ============================== d: 658 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 6, 1, 1, 1, 50] Pell solution, x^2- 658 y^2= 1 : [1693, 66] ---------- 8 cycle: [[21, 14, -29], [-29, 44, 6], [6, 40, -43], [-43, 46, 3], [3, 50, -11], [-11, 38, 27], [27, 16, -22], [-22, 28, 21]] (m)c.f.e: [-1, 7, -1, 16, -4, 1, -1, 1] 8 cycle: [[-21, 14, 29], [29, 44, -6], [-6, 40, 43], [43, 46, -3], [-3, 50, 11], [11, 38, -27], [-27, 16, 22], [22, 28, -21]] (m)c.f.e: [1, -7, 1, -16, 4, -1, 1, -1] 8 cycle: [[29, 14, -21], [-21, 28, 22], [22, 16, -27], [-27, 38, 11], [11, 50, -3], [-3, 46, 43], [43, 40, -6], [-6, 44, 29]] (m)c.f.e: [-1, 1, -1, 4, -16, 1, -7, 1] 8 cycle: [[-29, 14, 21], [21, 28, -22], [-22, 16, 27], [27, 38, -11], [-11, 50, 3], [3, 46, -43], [-43, 40, 6], [6, 44, -29]] (m)c.f.e: [1, -1, 1, -4, 16, -1, 7, -1] 8 cycle: [[18, 16, -33], [-33, 50, 1], [1, 50, -33], [-33, 16, 18], [18, 20, -31], [-31, 42, 7], [7, 42, -31], [-31, 20, 18]] (m)c.f.e: [-1, 50, -1, 1, -1, 6, -1, 1] 8 cycle: [[-18, 16, 33], [33, 50, -1], [-1, 50, 33], [33, 16, -18], [-18, 20, 31], [31, 42, -7], [-7, 42, 31], [31, 20, -18]] (m)c.f.e: [1, -50, 1, -1, 1, -6, 1, -1] 8 cycle: [[14, 28, -33], [-33, 38, 9], [9, 34, -41], [-41, 48, 2], [2, 48, -41], [-41, 34, 9], [9, 38, -33], [-33, 28, 14]] (m)c.f.e: [-1, 4, -1, 24, -1, 4, -1, 2] 8 cycle: [[-14, 28, 33], [33, 38, -9], [-9, 34, 41], [41, 48, -2], [-2, 48, 41], [41, 34, -9], [-9, 38, 33], [33, 28, -14]] (m)c.f.e: [1, -4, 1, -24, 1, -4, 1, -2] number of reduced forms: 64 partition: [8, 8, 8, 8, 8, 8, 8, 8] ============================== d: 659 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 25, 2, 1, 50] Pell solution, x^2- 659 y^2= 1 : [5930, 231] ---------- 10 cycle: [[25, 6, -26], [-26, 46, 5], [5, 44, -35], [-35, 26, 14], [14, 30, -31], [-31, 32, 13], [13, 46, -10], [-10, 34, 37], [37, 40, -7], [-7, 44, 25]] (m)c.f.e: [-1, 9, -1, 2, -1, 3, -4, 1, -6, 1] 10 cycle: [[-25, 6, 26], [26, 46, -5], [-5, 44, 35], [35, 26, -14], [-14, 30, 31], [31, 32, -13], [-13, 46, 10], [10, 34, -37], [-37, 40, 7], [7, 44, -25]] (m)c.f.e: [1, -9, 1, -2, 1, -3, 4, -1, 6, -1] 10 cycle: [[26, 6, -25], [-25, 44, 7], [7, 40, -37], [-37, 34, 10], [10, 46, -13], [-13, 32, 31], [31, 30, -14], [-14, 26, 35], [35, 44, -5], [-5, 46, 26]] (m)c.f.e: [-1, 6, -1, 4, -3, 1, -2, 1, -9, 1] 10 cycle: [[-26, 6, 25], [25, 44, -7], [-7, 40, 37], [37, 34, -10], [-10, 46, 13], [13, 32, -31], [-31, 30, 14], [14, 26, -35], [-35, 44, 5], [5, 46, -26]] (m)c.f.e: [1, -6, 1, -4, 3, -1, 2, -1, 9, -1] 6 cycle: [[17, 18, -34], [-34, 50, 1], [1, 50, -34], [-34, 18, 17], [17, 50, -2], [-2, 50, 17]] (m)c.f.e: [-1, 50, -1, 2, -25, 2] 6 cycle: [[-17, 18, 34], [34, 50, -1], [-1, 50, 34], [34, 18, -17], [-17, 50, 2], [2, 50, -17]] (m)c.f.e: [1, -50, 1, -2, 25, -2] number of reduced forms: 52 partition: [6, 6, 10, 10, 10, 10] ============================== d: 661 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 4, 4, 16, 1, 9, 2, 1, 12, 5, 1, 1, 1, 2, 1, 3, 1, 1, 3, 1, 2, 1, 1, 1, 5, 12, 1, 2, 9, 1, 16, 4, 4, 2, 2, 1, 50] Pell solution, x^2- 661 y^2= -1 : [2865454435422583218, 111453260296346905] ---------- 22 cycle: [[9, 11, -15], [-15, 19, 5], [5, 21, -11], [-11, 23, 3], [3, 25, -3], [-3, 23, 11], [11, 21, -5], [-5, 19, 15], [15, 11, -9], [-9, 25, 1], [1, 25, -9], [-9, 11, 15], [15, 19, -5], [-5, 21, 11], [11, 23, -3], [-3, 25, 3], [3, 23, -11], [-11, 21, 5], [5, 19, -15], [-15, 11, 9], [9, 25, -1], [-1, 25, 9]] (m)c.f.e: [-1, 4, -2, 8, -8, 2, -4, 1, -2, 25, -2, 1, -4, 2, -8, 8, -2, 4, -1, 2, -25, 2] number of reduced forms: 22 partition: [22] ============================== d: 662 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 2, 3, 1, 1, 2, 6, 1, 24, 1, 6, 2, 1, 1, 3, 2, 1, 2, 1, 50] Pell solution, x^2- 662 y^2= 1 : [1718102501, 66775950] ---------- 22 cycle: [[23, 16, -26], [-26, 36, 13], [13, 42, -17], [-17, 26, 29], [29, 32, -14], [-14, 24, 37], [37, 50, -1], [-1, 50, 37], [37, 24, -14], [-14, 32, 29], [29, 26, -17], [-17, 42, 13], [13, 36, -26], [-26, 16, 23], [23, 30, -19], [-19, 46, 7], [7, 38, -43], [-43, 48, 2], [2, 48, -43], [-43, 38, 7], [7, 46, -19], [-19, 30, 23]] (m)c.f.e: [-1, 3, -2, 1, -2, 1, -50, 1, -2, 1, -2, 3, -1, 1, -2, 6, -1, 24, -1, 6, -2, 1] 22 cycle: [[-23, 16, 26], [26, 36, -13], [-13, 42, 17], [17, 26, -29], [-29, 32, 14], [14, 24, -37], [-37, 50, 1], [1, 50, -37], [-37, 24, 14], [14, 32, -29], [-29, 26, 17], [17, 42, -13], [-13, 36, 26], [26, 16, -23], [-23, 30, 19], [19, 46, -7], [-7, 38, 43], [43, 48, -2], [-2, 48, 43], [43, 38, -7], [-7, 46, 19], [19, 30, -23]] (m)c.f.e: [1, -3, 2, -1, 2, -1, 50, -1, 2, -1, 2, -3, 1, -1, 2, -6, 1, -24, 1, -6, 2, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 663 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 50] Pell solution, x^2- 663 y^2= 1 : [103, 4] ---------- 6 cycle: [[22, 10, -29], [-29, 48, 3], [3, 48, -29], [-29, 10, 22], [22, 34, -17], [-17, 34, 22]] (m)c.f.e: [-1, 16, -1, 1, -2, 1] 6 cycle: [[-22, 10, 29], [29, 48, -3], [-3, 48, 29], [29, 10, -22], [-22, 34, 17], [17, 34, -22]] (m)c.f.e: [1, -16, 1, -1, 2, -1] 4 cycle: [[13, 26, -38], [-38, 50, 1], [1, 50, -38], [-38, 26, 13]] (m)c.f.e: [-1, 50, -1, 2] 4 cycle: [[-13, 26, 38], [38, 50, -1], [-1, 50, 38], [38, 26, -13]] (m)c.f.e: [1, -50, 1, -2] 4 cycle: [[19, 26, -26], [-26, 26, 19], [19, 50, -2], [-2, 50, 19]] (m)c.f.e: [-1, 2, -25, 2] 4 cycle: [[-19, 26, 26], [26, 26, -19], [-19, 50, 2], [2, 50, -19]] (m)c.f.e: [1, -2, 25, -2] 6 cycle: [[11, 32, -37], [-37, 42, 6], [6, 42, -37], [-37, 32, 11], [11, 34, -34], [-34, 34, 11]] (m)c.f.e: [-1, 7, -1, 3, -1, 3] 6 cycle: [[-11, 32, 37], [37, 42, -6], [-6, 42, 37], [37, 32, -11], [-11, 34, 34], [34, 34, -11]] (m)c.f.e: [1, -7, 1, -3, 1, -3] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 665 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 2, 2, 2, 1, 3, 1, 50] Pell solution, x^2- 665 y^2= 1 : [13719, 532] ---------- 10 cycle: [[11, 7, -14], [-14, 21, 4], [4, 19, -19], [-19, 19, 4], [4, 21, -14], [-14, 7, 11], [11, 15, -10], [-10, 25, 1], [1, 25, -10], [-10, 15, 11]] (m)c.f.e: [-1, 5, -1, 5, -1, 1, -2, 25, -2, 1] 10 cycle: [[-11, 7, 14], [14, 21, -4], [-4, 19, 19], [19, 19, -4], [-4, 21, 14], [14, 7, -11], [-11, 15, 10], [10, 25, -1], [-1, 25, 10], [10, 15, -11]] (m)c.f.e: [1, -5, 1, -5, 1, -1, 2, -25, 2, -1] 8 cycle: [[8, 11, -17], [-17, 23, 2], [2, 25, -5], [-5, 25, 2], [2, 23, -17], [-17, 11, 8], [8, 21, -7], [-7, 21, 8]] (m)c.f.e: [-1, 12, -5, 12, -1, 2, -3, 2] 8 cycle: [[-8, 11, 17], [17, 23, -2], [-2, 25, 5], [5, 25, -2], [-2, 23, 17], [17, 11, -8], [-8, 21, 7], [7, 21, -8]] (m)c.f.e: [1, -12, 5, -12, 1, -2, 3, -2] number of reduced forms: 36 partition: [8, 8, 10, 10] ============================== d: 667 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 3, 7, 8, 2, 8, 7, 3, 1, 4, 1, 50] Pell solution, x^2- 667 y^2= 1 : [107119097, 4147668] ---------- 18 cycle: [[21, 20, -27], [-27, 34, 14], [14, 50, -3], [-3, 46, 46], [46, 46, -3], [-3, 50, 14], [14, 34, -27], [-27, 20, 21], [21, 22, -26], [-26, 30, 17], [17, 38, -18], [-18, 34, 21], [21, 50, -2], [-2, 50, 21], [21, 34, -18], [-18, 38, 17], [17, 30, -26], [-26, 22, 21]] (m)c.f.e: [-1, 3, -16, 1, -16, 3, -1, 1, -1, 2, -2, 2, -25, 2, -2, 2, -1, 1] 18 cycle: [[-21, 20, 27], [27, 34, -14], [-14, 50, 3], [3, 46, -46], [-46, 46, 3], [3, 50, -14], [-14, 34, 27], [27, 20, -21], [-21, 22, 26], [26, 30, -17], [-17, 38, 18], [18, 34, -21], [-21, 50, 2], [2, 50, -21], [-21, 34, 18], [18, 38, -17], [-17, 30, 26], [26, 22, -21]] (m)c.f.e: [1, -3, 16, -1, 16, -3, 1, -1, 1, -2, 2, -2, 25, -2, 2, -2, 1, -1] 14 cycle: [[13, 30, -34], [-34, 38, 9], [9, 34, -42], [-42, 50, 1], [1, 50, -42], [-42, 34, 9], [9, 38, -34], [-34, 30, 13], [13, 48, -7], [-7, 50, 6], [6, 46, -23], [-23, 46, 6], [6, 50, -7], [-7, 48, 13]] (m)c.f.e: [-1, 4, -1, 50, -1, 4, -1, 3, -7, 8, -2, 8, -7, 3] 14 cycle: [[-13, 30, 34], [34, 38, -9], [-9, 34, 42], [42, 50, -1], [-1, 50, 42], [42, 34, -9], [-9, 38, 34], [34, 30, -13], [-13, 48, 7], [7, 50, -6], [-6, 46, 23], [23, 46, -6], [-6, 50, 7], [7, 48, -13]] (m)c.f.e: [1, -4, 1, -50, 1, -4, 1, -3, 7, -8, 2, -8, 7, -3] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 669 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 2, 2, 3, 1, 9, 1, 1, 2, 1, 12, 4, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 4, 12, 1, 2, 1, 1, 9, 1, 3, 2, 2, 6, 1, 50] Pell solution, x^2- 669 y^2= 1 : [14226117859054135, 550013492618436] ---------- 10 cycle: [[5, 17, -19], [-19, 21, 3], [3, 21, -19], [-19, 17, 5], [5, 23, -7], [-7, 19, 11], [11, 25, -1], [-1, 25, 11], [11, 19, -7], [-7, 23, 5]] (m)c.f.e: [-1, 7, -1, 4, -3, 2, -25, 2, -3, 4] 10 cycle: [[-5, 17, 19], [19, 21, -3], [-3, 21, 19], [19, 17, -5], [-5, 23, 7], [7, 19, -11], [-11, 25, 1], [1, 25, -11], [-11, 19, 7], [7, 23, -5]] (m)c.f.e: [1, -7, 1, -4, 3, -2, 25, -2, 3, -4] number of reduced forms: 20 partition: [10, 10] ============================== d: 670 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 1, 1, 1, 5, 10, 5, 1, 1, 1, 7, 1, 50] Pell solution, x^2- 670 y^2= 1 : [5791211, 223734] ---------- 14 cycle: [[23, 14, -27], [-27, 40, 10], [10, 40, -27], [-27, 14, 23], [23, 32, -18], [-18, 40, 15], [15, 50, -3], [-3, 46, 47], [47, 48, -2], [-2, 48, 47], [47, 46, -3], [-3, 50, 15], [15, 40, -18], [-18, 32, 23]] (m)c.f.e: [-1, 4, -1, 1, -2, 3, -16, 1, -24, 1, -16, 3, -2, 1] 14 cycle: [[-23, 14, 27], [27, 40, -10], [-10, 40, 27], [27, 14, -23], [-23, 32, 18], [18, 40, -15], [-15, 50, 3], [3, 46, -47], [-47, 48, 2], [2, 48, -47], [-47, 46, 3], [3, 50, -15], [-15, 40, 18], [18, 32, -23]] (m)c.f.e: [1, -4, 1, -1, 2, -3, 16, -1, 24, -1, 16, -3, 2, -1] 14 cycle: [[19, 18, -31], [-31, 44, 6], [6, 40, -45], [-45, 50, 1], [1, 50, -45], [-45, 40, 6], [6, 44, -31], [-31, 18, 19], [19, 20, -30], [-30, 40, 9], [9, 50, -5], [-5, 50, 9], [9, 40, -30], [-30, 20, 19]] (m)c.f.e: [-1, 7, -1, 50, -1, 7, -1, 1, -1, 5, -10, 5, -1, 1] 14 cycle: [[-19, 18, 31], [31, 44, -6], [-6, 40, 45], [45, 50, -1], [-1, 50, 45], [45, 40, -6], [-6, 44, 31], [31, 18, -19], [-19, 20, 30], [30, 40, -9], [-9, 50, 5], [5, 50, -9], [-9, 40, 30], [30, 20, -19]] (m)c.f.e: [1, -7, 1, -50, 1, -7, 1, -1, 1, -5, 10, -5, 1, -1] number of reduced forms: 56 partition: [14, 14, 14, 14] ============================== d: 671 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 9, 2, 1, 1, 1, 2, 9, 1, 50] Pell solution, x^2- 671 y^2= 1 : [58620, 2263] ---------- 10 cycle: [[22, 22, -25], [-25, 28, 19], [19, 48, -5], [-5, 42, 46], [46, 50, -1], [-1, 50, 46], [46, 42, -5], [-5, 48, 19], [19, 28, -25], [-25, 22, 22]] (m)c.f.e: [-1, 2, -9, 1, -50, 1, -9, 2, -1, 1] 10 cycle: [[-22, 22, 25], [25, 28, -19], [-19, 48, 5], [5, 42, -46], [-46, 50, 1], [1, 50, -46], [-46, 42, 5], [5, 48, -19], [-19, 28, 25], [25, 22, -22]] (m)c.f.e: [1, -2, 9, -1, 50, -1, 9, -2, 1, -1] 10 cycle: [[17, 24, -31], [-31, 38, 10], [10, 42, -23], [-23, 50, 2], [2, 50, -23], [-23, 42, 10], [10, 38, -31], [-31, 24, 17], [17, 44, -11], [-11, 44, 17]] (m)c.f.e: [-1, 4, -2, 25, -2, 4, -1, 2, -4, 2] 10 cycle: [[-17, 24, 31], [31, 38, -10], [-10, 42, 23], [23, 50, -2], [-2, 50, 23], [23, 42, -10], [-10, 38, 31], [31, 24, -17], [-17, 44, 11], [11, 44, -17]] (m)c.f.e: [1, -4, 2, -25, 2, -4, 1, -2, 4, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 673 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 16, 3, 5, 2, 3, 1, 1, 6, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 6, 1, 1, 3, 2, 5, 3, 16, 1, 50] Pell solution, x^2- 673 y^2= -1 : [48813455293932, 1881620424025] ---------- 58 cycle: [[12, 7, -13], [-13, 19, 6], [6, 17, -16], [-16, 15, 7], [7, 13, -18], [-18, 23, 2], [2, 25, -6], [-6, 23, 6], [6, 25, -2], [-2, 23, 18], [18, 13, -7], [-7, 15, 16], [16, 17, -6], [-6, 19, 13], [13, 7, -12], [-12, 17, 8], [8, 15, -14], [-14, 13, 9], [9, 23, -4], [-4, 25, 3], [3, 23, -12], [-12, 25, 1], [1, 25, -12], [-12, 23, 3], [3, 25, -4], [-4, 23, 9], [9, 13, -14], [-14, 15, 8], [8, 17, -12], [-12, 7, 13], [13, 19, -6], [-6, 17, 16], [16, 15, -7], [-7, 13, 18], [18, 23, -2], [-2, 25, 6], [6, 23, -6], [-6, 25, 2], [2, 23, -18], [-18, 13, 7], [7, 15, -16], [-16, 17, 6], [6, 19, -13], [-13, 7, 12], [12, 17, -8], [-8, 15, 14], [14, 13, -9], [-9, 23, 4], [4, 25, -3], [-3, 23, 12], [12, 25, -1], [-1, 25, 12], [12, 23, -3], [-3, 25, 4], [4, 23, -9], [-9, 13, 14], [14, 15, -8], [-8, 17, 12]] (m)c.f.e: [-1, 3, -1, 2, -1, 12, -4, 4, -12, 1, -2, 1, -3, 1, -1, 2, -1, 2, -6, 8, -2, 25, -2, 8, -6, 2, -1, 2, -1, 1, -3, 1, -2, 1, -12, 4, -4, 12, -1, 2, -1, 3, -1, 1, -2, 1, -2, 6, -8, 2, -25, 2, -8, 6, -2, 1, -2, 1] number of reduced forms: 58 partition: [58] ============================== d: 674 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 24, 1, 50] Pell solution, x^2- 674 y^2= 1 : [675, 26] ---------- 8 cycle: [[22, 12, -29], [-29, 46, 5], [5, 44, -38], [-38, 32, 11], [11, 34, -35], [-35, 36, 10], [10, 44, -19], [-19, 32, 22]] (m)c.f.e: [-1, 9, -1, 3, -1, 4, -2, 1] 8 cycle: [[-22, 12, 29], [29, 46, -5], [-5, 44, 38], [38, 32, -11], [-11, 34, 35], [35, 36, -10], [-10, 44, 19], [19, 32, -22]] (m)c.f.e: [1, -9, 1, -3, 1, -4, 2, -1] 8 cycle: [[29, 12, -22], [-22, 32, 19], [19, 44, -10], [-10, 36, 35], [35, 34, -11], [-11, 32, 38], [38, 44, -5], [-5, 46, 29]] (m)c.f.e: [-1, 2, -4, 1, -3, 1, -9, 1] 8 cycle: [[-29, 12, 22], [22, 32, -19], [-19, 44, 10], [10, 36, -35], [-35, 34, 11], [11, 32, -38], [-38, 44, 5], [5, 46, -29]] (m)c.f.e: [1, -2, 4, -1, 3, -1, 9, -1] 6 cycle: [[25, 14, -25], [-25, 36, 14], [14, 48, -7], [-7, 50, 7], [7, 48, -14], [-14, 36, 25]] (m)c.f.e: [-1, 3, -7, 7, -3, 1] 6 cycle: [[-25, 14, 25], [25, 36, -14], [-14, 48, 7], [7, 50, -7], [-7, 48, 14], [14, 36, -25]] (m)c.f.e: [1, -3, 7, -7, 3, -1] 4 cycle: [[2, 48, -49], [-49, 50, 1], [1, 50, -49], [-49, 48, 2]] (m)c.f.e: [-1, 50, -1, 24] 4 cycle: [[-2, 48, 49], [49, 50, -1], [-1, 50, 49], [49, 48, -2]] (m)c.f.e: [1, -50, 1, -24] number of reduced forms: 52 partition: [4, 4, 6, 6, 8, 8, 8, 8] ============================== d: 677 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [52] Pell solution, x^2- 677 y^2= -1 : [26, 1] ---------- 6 cycle: [[13, 1, -13], [-13, 25, 1], [1, 25, -13], [-13, 1, 13], [13, 25, -1], [-1, 25, 13]] (m)c.f.e: [-1, 25, -1, 1, -25, 1] number of reduced forms: 6 partition: [6] ============================== d: 678 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [26, 52] Pell solution, x^2- 678 y^2= 1 : [677, 26] ---------- 6 cycle: [[17, 20, -34], [-34, 48, 3], [3, 48, -34], [-34, 20, 17], [17, 48, -6], [-6, 48, 17]] (m)c.f.e: [-1, 16, -1, 2, -8, 2] 6 cycle: [[-17, 20, 34], [34, 48, -3], [-3, 48, 34], [34, 20, -17], [-17, 48, 6], [6, 48, -17]] (m)c.f.e: [1, -16, 1, -2, 8, -2] 2 cycle: [[1, 52, -2], [-2, 52, 1]] (m)c.f.e: [-26, 52] 2 cycle: [[-1, 52, 2], [2, 52, -1]] (m)c.f.e: [26, -52] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 679 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [17, 2, 1, 5, 8, 1, 1, 25, 1, 1, 8, 5, 1, 2, 17, 52] Pell solution, x^2- 679 y^2= 1 : [17792625320, 682818291] ---------- 16 cycle: [[25, 4, -27], [-27, 50, 2], [2, 50, -27], [-27, 4, 25], [25, 46, -6], [-6, 50, 9], [9, 40, -31], [-31, 22, 18], [18, 50, -3], [-3, 52, 1], [1, 52, -3], [-3, 50, 18], [18, 22, -31], [-31, 40, 9], [9, 50, -6], [-6, 46, 25]] (m)c.f.e: [-1, 25, -1, 1, -8, 5, -1, 2, -17, 52, -17, 2, -1, 5, -8, 1] 16 cycle: [[-25, 4, 27], [27, 50, -2], [-2, 50, 27], [27, 4, -25], [-25, 46, 6], [6, 50, -9], [-9, 40, 31], [31, 22, -18], [-18, 50, 3], [3, 52, -1], [-1, 52, 3], [3, 50, -18], [-18, 22, 31], [31, 40, -9], [-9, 50, 6], [6, 46, -25]] (m)c.f.e: [1, -25, 1, -1, 8, -5, 1, -2, 17, -52, 17, -2, 1, -5, 8, -1] 28 cycle: [[21, 14, -30], [-30, 46, 5], [5, 44, -39], [-39, 34, 10], [10, 46, -15], [-15, 44, 13], [13, 34, -30], [-30, 26, 17], [17, 42, -14], [-14, 42, 17], [17, 26, -30], [-30, 34, 13], [13, 44, -15], [-15, 46, 10], [10, 34, -39], [-39, 44, 5], [5, 46, -30], [-30, 14, 21], [21, 28, -23], [-23, 18, 26], [26, 34, -15], [-15, 26, 34], [34, 42, -7], [-7, 42, 34], [34, 26, -15], [-15, 34, 26], [26, 18, -23], [-23, 28, 21]] (m)c.f.e: [-1, 9, -1, 4, -3, 3, -1, 2, -3, 2, -1, 3, -3, 4, -1, 9, -1, 1, -1, 1, -2, 1, -6, 1, -2, 1, -1, 1] 28 cycle: [[-21, 14, 30], [30, 46, -5], [-5, 44, 39], [39, 34, -10], [-10, 46, 15], [15, 44, -13], [-13, 34, 30], [30, 26, -17], [-17, 42, 14], [14, 42, -17], [-17, 26, 30], [30, 34, -13], [-13, 44, 15], [15, 46, -10], [-10, 34, 39], [39, 44, -5], [-5, 46, 30], [30, 14, -21], [-21, 28, 23], [23, 18, -26], [-26, 34, 15], [15, 26, -34], [-34, 42, 7], [7, 42, -34], [-34, 26, 15], [15, 34, -26], [-26, 18, 23], [23, 28, -21]] (m)c.f.e: [1, -9, 1, -4, 3, -3, 1, -2, 3, -2, 1, -3, 3, -4, 1, -9, 1, -1, 1, -1, 2, -1, 6, -1, 2, -1, 1, -1] number of reduced forms: 88 partition: [16, 16, 28, 28] ============================== d: 681 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 2, 2, 1, 1, 2, 6, 7, 3, 2, 1, 16, 1, 2, 3, 7, 6, 2, 1, 1, 2, 2, 10, 52] Pell solution, x^2- 681 y^2= 1 : [10743166003415, 411679015748] ---------- 32 cycle: [[12, 3, -14], [-14, 25, 1], [1, 25, -14], [-14, 3, 12], [12, 21, -5], [-5, 19, 16], [16, 13, -8], [-8, 19, 10], [10, 21, -6], [-6, 15, 19], [19, 23, -2], [-2, 25, 7], [7, 17, -14], [-14, 11, 10], [10, 9, -15], [-15, 21, 4], [4, 19, -20], [-20, 21, 3], [3, 21, -20], [-20, 19, 4], [4, 21, -15], [-15, 9, 10], [10, 11, -14], [-14, 17, 7], [7, 25, -2], [-2, 23, 19], [19, 15, -6], [-6, 21, 10], [10, 19, -8], [-8, 13, 16], [16, 19, -5], [-5, 21, 12]] (m)c.f.e: [-1, 25, -1, 1, -4, 1, -2, 2, -3, 1, -12, 3, -1, 1, -1, 5, -1, 7, -1, 5, -1, 1, -1, 3, -12, 1, -3, 2, -2, 1, -4, 1] 32 cycle: [[-12, 3, 14], [14, 25, -1], [-1, 25, 14], [14, 3, -12], [-12, 21, 5], [5, 19, -16], [-16, 13, 8], [8, 19, -10], [-10, 21, 6], [6, 15, -19], [-19, 23, 2], [2, 25, -7], [-7, 17, 14], [14, 11, -10], [-10, 9, 15], [15, 21, -4], [-4, 19, 20], [20, 21, -3], [-3, 21, 20], [20, 19, -4], [-4, 21, 15], [15, 9, -10], [-10, 11, 14], [14, 17, -7], [-7, 25, 2], [2, 23, -19], [-19, 15, 6], [6, 21, -10], [-10, 19, 8], [8, 13, -16], [-16, 19, 5], [5, 21, -12]] (m)c.f.e: [1, -25, 1, -1, 4, -1, 2, -2, 3, -1, 12, -3, 1, -1, 1, -5, 1, -7, 1, -5, 1, -1, 1, -3, 12, -1, 3, -2, 2, -1, 4, -1] number of reduced forms: 64 partition: [32, 32] ============================== d: 682 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 1, 2, 5, 2, 5, 2, 1, 8, 52] Pell solution, x^2- 682 y^2= 1 : [1197901, 45870] ---------- 10 cycle: [[17, 22, -33], [-33, 44, 6], [6, 52, -1], [-1, 52, 6], [6, 44, -33], [-33, 22, 17], [17, 46, -9], [-9, 44, 22], [22, 44, -9], [-9, 46, 17]] (m)c.f.e: [-1, 8, -52, 8, -1, 2, -5, 2, -5, 2] 10 cycle: [[-17, 22, 33], [33, 44, -6], [-6, 52, 1], [1, 52, -6], [-6, 44, 33], [33, 22, -17], [-17, 46, 9], [9, 44, -22], [-22, 44, 9], [9, 46, -17]] (m)c.f.e: [1, -8, 52, -8, 1, -2, 5, -2, 5, -2] 10 cycle: [[19, 26, -27], [-27, 28, 18], [18, 44, -11], [-11, 44, 18], [18, 28, -27], [-27, 26, 19], [19, 50, -3], [-3, 52, 2], [2, 52, -3], [-3, 50, 19]] (m)c.f.e: [-1, 2, -4, 2, -1, 2, -17, 26, -17, 2] 10 cycle: [[-19, 26, 27], [27, 28, -18], [-18, 44, 11], [11, 44, -18], [-18, 28, 27], [27, 26, -19], [-19, 50, 3], [3, 52, -2], [-2, 52, 3], [3, 50, -19]] (m)c.f.e: [1, -2, 4, -2, 1, -2, 17, -26, 17, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 683 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52] Pell solution, x^2- 683 y^2= 1 : [170067682, 6507459] ---------- 14 cycle: [[23, 8, -29], [-29, 50, 2], [2, 50, -29], [-29, 8, 23], [23, 38, -14], [-14, 46, 11], [11, 42, -22], [-22, 46, 7], [7, 52, -1], [-1, 52, 7], [7, 46, -22], [-22, 42, 11], [11, 46, -14], [-14, 38, 23]] (m)c.f.e: [-1, 25, -1, 1, -3, 4, -2, 7, -52, 7, -2, 4, -3, 1] 14 cycle: [[-23, 8, 29], [29, 50, -2], [-2, 50, 29], [29, 8, -23], [-23, 38, 14], [14, 46, -11], [-11, 42, 22], [22, 46, -7], [-7, 52, 1], [1, 52, -7], [-7, 46, 22], [22, 42, -11], [-11, 46, 14], [14, 38, -23]] (m)c.f.e: [1, -25, 1, -1, 3, -4, 2, -7, 52, -7, 2, -4, 3, -1] number of reduced forms: 28 partition: [14, 14] ============================== d: 685 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 3, 1, 12, 3, 2, 2, 3, 12, 1, 3, 1, 5, 52] Pell solution, x^2- 685 y^2= -1 : [218623878, 8353189] ---------- 10 cycle: [[13, 3, -13], [-13, 23, 3], [3, 25, -5], [-5, 25, 3], [3, 23, -13], [-13, 3, 13], [13, 23, -3], [-3, 25, 5], [5, 25, -3], [-3, 23, 13]] (m)c.f.e: [-1, 8, -5, 8, -1, 1, -8, 5, -8, 1] 14 cycle: [[11, 5, -15], [-15, 25, 1], [1, 25, -15], [-15, 5, 11], [11, 17, -9], [-9, 19, 9], [9, 17, -11], [-11, 5, 15], [15, 25, -1], [-1, 25, 15], [15, 5, -11], [-11, 17, 9], [9, 19, -9], [-9, 17, 11]] (m)c.f.e: [-1, 25, -1, 1, -2, 2, -1, 1, -25, 1, -1, 2, -2, 1] number of reduced forms: 24 partition: [10, 14] ============================== d: 687 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 2, 1, 16, 1, 2, 1, 4, 52] Pell solution, x^2- 687 y^2= 1 : [165337, 6308] ---------- 14 cycle: [[21, 12, -31], [-31, 50, 2], [2, 50, -31], [-31, 12, 21], [21, 30, -22], [-22, 14, 29], [29, 44, -7], [-7, 40, 41], [41, 42, -6], [-6, 42, 41], [41, 40, -7], [-7, 44, 29], [29, 14, -22], [-22, 30, 21]] (m)c.f.e: [-1, 25, -1, 1, -1, 1, -6, 1, -7, 1, -6, 1, -1, 1] 14 cycle: [[-21, 12, 31], [31, 50, -2], [-2, 50, 31], [31, 12, -21], [-21, 30, 22], [22, 14, -29], [-29, 44, 7], [7, 40, -41], [-41, 42, 6], [6, 42, -41], [-41, 40, 7], [7, 44, -29], [-29, 14, 22], [22, 30, -21]] (m)c.f.e: [1, -25, 1, -1, 1, -1, 6, -1, 7, -1, 6, -1, 1, -1] 10 cycle: [[14, 26, -37], [-37, 48, 3], [3, 48, -37], [-37, 26, 14], [14, 30, -33], [-33, 36, 11], [11, 52, -1], [-1, 52, 11], [11, 36, -33], [-33, 30, 14]] (m)c.f.e: [-1, 16, -1, 2, -1, 4, -52, 4, -1, 2] 10 cycle: [[-14, 26, 37], [37, 48, -3], [-3, 48, 37], [37, 26, -14], [-14, 30, 33], [33, 36, -11], [-11, 52, 1], [1, 52, -11], [-11, 36, 33], [33, 30, -14]] (m)c.f.e: [1, -16, 1, -2, 1, -4, 52, -4, 1, -2] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 689 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 52] Pell solution, x^2- 689 y^2= 1 : [105, 4] ---------- 6 cycle: [[10, 7, -16], [-16, 25, 1], [1, 25, -16], [-16, 7, 10], [10, 13, -13], [-13, 13, 10]] (m)c.f.e: [-1, 25, -1, 1, -1, 1] 6 cycle: [[-10, 7, 16], [16, 25, -1], [-1, 25, 16], [16, 7, -10], [-10, 13, 13], [13, 13, -10]] (m)c.f.e: [1, -25, 1, -1, 1, -1] 4 cycle: [[5, 17, -20], [-20, 23, 2], [2, 25, -8], [-8, 23, 5]] (m)c.f.e: [-1, 12, -3, 4] 4 cycle: [[-5, 17, 20], [20, 23, -2], [-2, 25, 8], [8, 23, -5]] (m)c.f.e: [1, -12, 3, -4] 4 cycle: [[10, 17, -10], [-10, 23, 4], [4, 25, -4], [-4, 23, 10]] (m)c.f.e: [-2, 6, -6, 2] 4 cycle: [[-10, 17, 10], [10, 23, -4], [-4, 25, 4], [4, 23, -10]] (m)c.f.e: [2, -6, 6, -2] 4 cycle: [[20, 17, -5], [-5, 23, 8], [8, 25, -2], [-2, 23, 20]] (m)c.f.e: [-4, 3, -12, 1] 4 cycle: [[-20, 17, 5], [5, 23, -8], [-8, 25, 2], [2, 23, -20]] (m)c.f.e: [4, -3, 12, -1] number of reduced forms: 36 partition: [4, 4, 4, 4, 4, 4, 6, 6] ============================== d: 690 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 2, 1, 3, 52] Pell solution, x^2- 690 y^2= 1 : [1471, 56] ---------- 10 cycle: [[21, 18, -29], [-29, 40, 10], [10, 40, -29], [-29, 18, 21], [21, 24, -26], [-26, 28, 19], [19, 48, -6], [-6, 48, 19], [19, 28, -26], [-26, 24, 21]] (m)c.f.e: [-1, 4, -1, 1, -1, 2, -8, 2, -1, 1] 10 cycle: [[-21, 18, 29], [29, 40, -10], [-10, 40, 29], [29, 18, -21], [-21, 24, 26], [26, 28, -19], [-19, 48, 6], [6, 48, -19], [-19, 28, 26], [26, 24, -21]] (m)c.f.e: [1, -4, 1, -1, 1, -2, 8, -2, 1, -1] 6 cycle: [[13, 28, -38], [-38, 48, 3], [3, 48, -38], [-38, 28, 13], [13, 50, -5], [-5, 50, 13]] (m)c.f.e: [-1, 16, -1, 3, -10, 3] 6 cycle: [[-13, 28, 38], [38, 48, -3], [-3, 48, 38], [38, 28, -13], [-13, 50, 5], [5, 50, -13]] (m)c.f.e: [1, -16, 1, -3, 10, -3] 6 cycle: [[15, 30, -31], [-31, 32, 14], [14, 52, -1], [-1, 52, 14], [14, 32, -31], [-31, 30, 15]] (m)c.f.e: [-1, 3, -52, 3, -1, 2] 6 cycle: [[-15, 30, 31], [31, 32, -14], [-14, 52, 1], [1, 52, -14], [-14, 32, 31], [31, 30, -15]] (m)c.f.e: [1, -3, 52, -3, 1, -2] 4 cycle: [[7, 46, -23], [-23, 46, 7], [7, 52, -2], [-2, 52, 7]] (m)c.f.e: [-2, 7, -26, 7] 4 cycle: [[-7, 46, 23], [23, 46, -7], [-7, 52, 2], [2, 52, -7]] (m)c.f.e: [2, -7, 26, -7] number of reduced forms: 52 partition: [4, 4, 6, 6, 6, 6, 10, 10] ============================== d: 691 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 17, 10, 2, 5, 2, 1, 2, 1, 4, 1, 1, 8, 4, 1, 1, 1, 25, 1, 1, 1, 4, 8, 1, 1, 4, 1, 2, 1, 2, 5, 2, 10, 17, 2, 3, 52] Pell solution, x^2- 691 y^2= 1 : [31138100617500578690, 1184549173291009383] ---------- 38 cycle: [[25, 8, -27], [-27, 46, 6], [6, 50, -11], [-11, 38, 30], [30, 22, -19], [-19, 16, 33], [33, 50, -2], [-2, 50, 33], [33, 16, -19], [-19, 22, 30], [30, 38, -11], [-11, 50, 6], [6, 46, -27], [-27, 8, 25], [25, 42, -10], [-10, 38, 33], [33, 28, -15], [-15, 32, 29], [29, 26, -18], [-18, 46, 9], [9, 44, -23], [-23, 48, 5], [5, 52, -3], [-3, 50, 22], [22, 38, -15], [-15, 52, 1], [1, 52, -15], [-15, 38, 22], [22, 50, -3], [-3, 52, 5], [5, 48, -23], [-23, 44, 9], [9, 46, -18], [-18, 26, 29], [29, 32, -15], [-15, 28, 33], [33, 38, -10], [-10, 42, 25]] (m)c.f.e: [-1, 8, -4, 1, -1, 1, -25, 1, -1, 1, -4, 8, -1, 1, -4, 1, -2, 1, -2, 5, -2, 10, -17, 2, -3, 52, -3, 2, -17, 10, -2, 5, -2, 1, -2, 1, -4, 1] 38 cycle: [[-25, 8, 27], [27, 46, -6], [-6, 50, 11], [11, 38, -30], [-30, 22, 19], [19, 16, -33], [-33, 50, 2], [2, 50, -33], [-33, 16, 19], [19, 22, -30], [-30, 38, 11], [11, 50, -6], [-6, 46, 27], [27, 8, -25], [-25, 42, 10], [10, 38, -33], [-33, 28, 15], [15, 32, -29], [-29, 26, 18], [18, 46, -9], [-9, 44, 23], [23, 48, -5], [-5, 52, 3], [3, 50, -22], [-22, 38, 15], [15, 52, -1], [-1, 52, 15], [15, 38, -22], [-22, 50, 3], [3, 52, -5], [-5, 48, 23], [23, 44, -9], [-9, 46, 18], [18, 26, -29], [-29, 32, 15], [15, 28, -33], [-33, 38, 10], [10, 42, -25]] (m)c.f.e: [1, -8, 4, -1, 1, -1, 25, -1, 1, -1, 4, -8, 1, -1, 4, -1, 2, -1, 2, -5, 2, -10, 17, -2, 3, -52, 3, -2, 17, -10, 2, -5, 2, -1, 2, -1, 4, -1] number of reduced forms: 76 partition: [38, 38] ============================== d: 694 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 9, 1, 6, 1, 1, 1, 1, 1, 2, 1, 8, 17, 2, 4, 3, 3, 2, 4, 1, 5, 26, 5, 1, 4, 2, 3, 3, 4, 2, 17, 8, 1, 2, 1, 1, 1, 1, 1, 6, 1, 9, 1, 2, 52] Pell solution, x^2- 694 y^2= 1 : [38782105445014642382885, 1472148590903997672114] ---------- 46 cycle: [[21, 16, -30], [-30, 44, 7], [7, 40, -42], [-42, 44, 5], [5, 46, -33], [-33, 20, 18], [18, 52, -1], [-1, 52, 18], [18, 20, -33], [-33, 46, 5], [5, 44, -42], [-42, 40, 7], [7, 44, -30], [-30, 16, 21], [21, 26, -25], [-25, 24, 22], [22, 20, -27], [-27, 34, 15], [15, 26, -35], [-35, 44, 6], [6, 52, -3], [-3, 50, 23], [23, 42, -11], [-11, 46, 15], [15, 44, -14], [-14, 40, 21], [21, 44, -10], [-10, 36, 37], [37, 38, -9], [-9, 52, 2], [2, 52, -9], [-9, 38, 37], [37, 36, -10], [-10, 44, 21], [21, 40, -14], [-14, 44, 15], [15, 46, -11], [-11, 42, 23], [23, 50, -3], [-3, 52, 6], [6, 44, -35], [-35, 26, 15], [15, 34, -27], [-27, 20, 22], [22, 24, -25], [-25, 26, 21]] (m)c.f.e: [-1, 6, -1, 9, -1, 2, -52, 2, -1, 9, -1, 6, -1, 1, -1, 1, -1, 2, -1, 8, -17, 2, -4, 3, -3, 2, -4, 1, -5, 26, -5, 1, -4, 2, -3, 3, -4, 2, -17, 8, -1, 2, -1, 1, -1, 1] 46 cycle: [[-21, 16, 30], [30, 44, -7], [-7, 40, 42], [42, 44, -5], [-5, 46, 33], [33, 20, -18], [-18, 52, 1], [1, 52, -18], [-18, 20, 33], [33, 46, -5], [-5, 44, 42], [42, 40, -7], [-7, 44, 30], [30, 16, -21], [-21, 26, 25], [25, 24, -22], [-22, 20, 27], [27, 34, -15], [-15, 26, 35], [35, 44, -6], [-6, 52, 3], [3, 50, -23], [-23, 42, 11], [11, 46, -15], [-15, 44, 14], [14, 40, -21], [-21, 44, 10], [10, 36, -37], [-37, 38, 9], [9, 52, -2], [-2, 52, 9], [9, 38, -37], [-37, 36, 10], [10, 44, -21], [-21, 40, 14], [14, 44, -15], [-15, 46, 11], [11, 42, -23], [-23, 50, 3], [3, 52, -6], [-6, 44, 35], [35, 26, -15], [-15, 34, 27], [27, 20, -22], [-22, 24, 25], [25, 26, -21]] (m)c.f.e: [1, -6, 1, -9, 1, -2, 52, -2, 1, -9, 1, -6, 1, -1, 1, -1, 1, -2, 1, -8, 17, -2, 4, -3, 3, -2, 4, -1, 5, -26, 5, -1, 4, -2, 3, -3, 4, -2, 17, -8, 1, -2, 1, -1, 1, -1] number of reduced forms: 92 partition: [46, 46] ============================== d: 695 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 3, 10, 3, 1, 2, 52] Pell solution, x^2- 695 y^2= 1 : [33639, 1276] ---------- 8 cycle: [[17, 20, -35], [-35, 50, 2], [2, 50, -35], [-35, 20, 17], [17, 48, -7], [-7, 50, 10], [10, 50, -7], [-7, 48, 17]] (m)c.f.e: [-1, 25, -1, 2, -7, 5, -7, 2] 8 cycle: [[-17, 20, 35], [35, 50, -2], [-2, 50, 35], [35, 20, -17], [-17, 48, 7], [7, 50, -10], [-10, 50, 7], [7, 48, -17]] (m)c.f.e: [1, -25, 1, -2, 7, -5, 7, -2] 8 cycle: [[19, 24, -29], [-29, 34, 14], [14, 50, -5], [-5, 50, 14], [14, 34, -29], [-29, 24, 19], [19, 52, -1], [-1, 52, 19]] (m)c.f.e: [-1, 3, -10, 3, -1, 2, -52, 2] 8 cycle: [[-19, 24, 29], [29, 34, -14], [-14, 50, 5], [5, 50, -14], [-14, 34, 29], [29, 24, -19], [-19, 52, 1], [1, 52, -19]] (m)c.f.e: [1, -3, 10, -3, 1, -2, 52, -2] number of reduced forms: 32 partition: [8, 8, 8, 8] ============================== d: 697 number of cycles (narrow class number): 6 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 52] Pell solution, x^2- 697 y^2= -1 : [132, 5] ---------- 10 cycle: [[12, 5, -14], [-14, 23, 3], [3, 25, -6], [-6, 23, 7], [7, 19, -12], [-12, 5, 14], [14, 23, -3], [-3, 25, 6], [6, 23, -7], [-7, 19, 12]] (m)c.f.e: [-1, 8, -4, 3, -1, 1, -8, 4, -3, 1] 10 cycle: [[14, 5, -12], [-12, 19, 7], [7, 23, -6], [-6, 25, 3], [3, 23, -14], [-14, 5, 12], [12, 19, -7], [-7, 23, 6], [6, 25, -3], [-3, 23, 14]] (m)c.f.e: [-1, 3, -4, 8, -1, 1, -3, 4, -8, 1] 18 cycle: [[11, 9, -14], [-14, 19, 6], [6, 17, -17], [-17, 17, 6], [6, 19, -14], [-14, 9, 11], [11, 13, -12], [-12, 11, 12], [12, 13, -11], [-11, 9, 14], [14, 19, -6], [-6, 17, 17], [17, 17, -6], [-6, 19, 14], [14, 9, -11], [-11, 13, 12], [12, 11, -12], [-12, 13, 11]] (m)c.f.e: [-1, 3, -1, 3, -1, 1, -1, 1, -1, 1, -3, 1, -3, 1, -1, 1, -1, 1] 10 cycle: [[8, 11, -18], [-18, 25, 1], [1, 25, -18], [-18, 11, 8], [8, 21, -8], [-8, 11, 18], [18, 25, -1], [-1, 25, 18], [18, 11, -8], [-8, 21, 8]] (m)c.f.e: [-1, 25, -1, 2, -2, 1, -25, 1, -2, 2] 10 cycle: [[9, 11, -16], [-16, 21, 4], [4, 19, -21], [-21, 23, 2], [2, 25, -9], [-9, 11, 16], [16, 21, -4], [-4, 19, 21], [21, 23, -2], [-2, 25, 9]] (m)c.f.e: [-1, 5, -1, 12, -2, 1, -5, 1, -12, 2] 10 cycle: [[16, 11, -9], [-9, 25, 2], [2, 23, -21], [-21, 19, 4], [4, 21, -16], [-16, 11, 9], [9, 25, -2], [-2, 23, 21], [21, 19, -4], [-4, 21, 16]] (m)c.f.e: [-2, 12, -1, 5, -1, 2, -12, 1, -5, 1] number of reduced forms: 68 partition: [10, 10, 10, 10, 10, 18] ============================== d: 698 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 1, 1, 1, 1, 2, 2, 52] Pell solution, x^2- 698 y^2= -1 : [5099, 193] ---------- 18 cycle: [[23, 20, -26], [-26, 32, 17], [17, 36, -22], [-22, 52, 1], [1, 52, -22], [-22, 36, 17], [17, 32, -26], [-26, 20, 23], [23, 26, -23], [-23, 20, 26], [26, 32, -17], [-17, 36, 22], [22, 52, -1], [-1, 52, 22], [22, 36, -17], [-17, 32, 26], [26, 20, -23], [-23, 26, 23]] (m)c.f.e: [-1, 2, -2, 52, -2, 2, -1, 1, -1, 1, -2, 2, -52, 2, -2, 1, -1, 1] 14 cycle: [[13, 32, -34], [-34, 36, 11], [11, 52, -2], [-2, 52, 11], [11, 36, -34], [-34, 32, 13], [13, 46, -13], [-13, 32, 34], [34, 36, -11], [-11, 52, 2], [2, 52, -11], [-11, 36, 34], [34, 32, -13], [-13, 46, 13]] (m)c.f.e: [-1, 4, -26, 4, -1, 3, -3, 1, -4, 26, -4, 1, -3, 3] number of reduced forms: 32 partition: [14, 18] ============================== d: 699 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 1, 1, 2, 1, 25, 1, 2, 1, 1, 3, 2, 52] Pell solution, x^2- 699 y^2= 1 : [2271050, 85899] ---------- 14 cycle: [[25, 14, -26], [-26, 38, 13], [13, 40, -23], [-23, 52, 1], [1, 52, -23], [-23, 40, 13], [13, 38, -26], [-26, 14, 25], [25, 36, -15], [-15, 24, 37], [37, 50, -2], [-2, 50, 37], [37, 24, -15], [-15, 36, 25]] (m)c.f.e: [-1, 3, -2, 52, -2, 3, -1, 1, -2, 1, -25, 1, -2, 1] 14 cycle: [[-25, 14, 26], [26, 38, -13], [-13, 40, 23], [23, 52, -1], [-1, 52, 23], [23, 40, -13], [-13, 38, 26], [26, 14, -25], [-25, 36, 15], [15, 24, -37], [-37, 50, 2], [2, 50, -37], [-37, 24, 15], [15, 36, -25]] (m)c.f.e: [1, -3, 2, -52, 2, -3, 1, -1, 2, -1, 25, -1, 2, -1] 14 cycle: [[17, 22, -34], [-34, 46, 5], [5, 44, -43], [-43, 42, 6], [6, 42, -43], [-43, 44, 5], [5, 46, -34], [-34, 22, 17], [17, 46, -10], [-10, 34, 41], [41, 48, -3], [-3, 48, 41], [41, 34, -10], [-10, 46, 17]] (m)c.f.e: [-1, 9, -1, 7, -1, 9, -1, 2, -4, 1, -16, 1, -4, 2] 14 cycle: [[-17, 22, 34], [34, 46, -5], [-5, 44, 43], [43, 42, -6], [-6, 42, 43], [43, 44, -5], [-5, 46, 34], [34, 22, -17], [-17, 46, 10], [10, 34, -41], [-41, 48, 3], [3, 48, -41], [-41, 34, 10], [10, 46, -17]] (m)c.f.e: [1, -9, 1, -7, 1, -9, 1, -2, 4, -1, 16, -1, 4, -2] number of reduced forms: 56 partition: [14, 14, 14, 14] ============================== d: 701 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 10, 10, 2, 52] Pell solution, x^2- 701 y^2= -1 : [11782, 445] ---------- 22 cycle: [[13, 5, -13], [-13, 21, 5], [5, 19, -17], [-17, 15, 7], [7, 13, -19], [-19, 25, 1], [1, 25, -19], [-19, 13, 7], [7, 15, -17], [-17, 19, 5], [5, 21, -13], [-13, 5, 13], [13, 21, -5], [-5, 19, 17], [17, 15, -7], [-7, 13, 19], [19, 25, -1], [-1, 25, 19], [19, 13, -7], [-7, 15, 17], [17, 19, -5], [-5, 21, 13]] (m)c.f.e: [-1, 4, -1, 2, -1, 25, -1, 2, -1, 4, -1, 1, -4, 1, -2, 1, -25, 1, -2, 1, -4, 1] number of reduced forms: 22 partition: [22] ============================== d: 703 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 17, 5, 1, 5, 17, 1, 1, 52] Pell solution, x^2- 703 y^2= 1 : [1159172, 43719] ---------- 10 cycle: [[26, 2, -27], [-27, 52, 1], [1, 52, -27], [-27, 2, 26], [26, 50, -3], [-3, 52, 9], [9, 38, -38], [-38, 38, 9], [9, 52, -3], [-3, 50, 26]] (m)c.f.e: [-1, 52, -1, 1, -17, 5, -1, 5, -17, 1] 10 cycle: [[-26, 2, 27], [27, 52, -1], [-1, 52, 27], [27, 2, -26], [-26, 50, 3], [3, 52, -9], [-9, 38, 38], [38, 38, -9], [-9, 52, 3], [3, 50, -26]] (m)c.f.e: [1, -52, 1, -1, 17, -5, 1, -5, 17, -1] 14 cycle: [[23, 12, -29], [-29, 46, 6], [6, 50, -13], [-13, 28, 39], [39, 50, -2], [-2, 50, 39], [39, 28, -13], [-13, 50, 6], [6, 46, -29], [-29, 12, 23], [23, 34, -18], [-18, 38, 19], [19, 38, -18], [-18, 34, 23]] (m)c.f.e: [-1, 8, -3, 1, -25, 1, -3, 8, -1, 1, -2, 2, -2, 1] 14 cycle: [[-23, 12, 29], [29, 46, -6], [-6, 50, 13], [13, 28, -39], [-39, 50, 2], [2, 50, -39], [-39, 28, 13], [13, 50, -6], [-6, 46, 29], [29, 12, -23], [-23, 34, 18], [18, 38, -19], [-19, 38, 18], [18, 34, -23]] (m)c.f.e: [1, -8, 3, -1, 25, -1, 3, -8, 1, -1, 2, -2, 2, -1] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 705 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 4, 3, 10, 3, 4, 1, 1, 52] Pell solution, x^2- 705 y^2= 1 : [237161, 8932] ---------- 14 cycle: [[12, 9, -13], [-13, 17, 8], [8, 15, -15], [-15, 15, 8], [8, 17, -13], [-13, 9, 12], [12, 15, -10], [-10, 25, 2], [2, 23, -22], [-22, 21, 3], [3, 21, -22], [-22, 23, 2], [2, 25, -10], [-10, 15, 12]] (m)c.f.e: [-1, 2, -1, 2, -1, 1, -2, 12, -1, 7, -1, 12, -2, 1] 14 cycle: [[-12, 9, 13], [13, 17, -8], [-8, 15, 15], [15, 15, -8], [-8, 17, 13], [13, 9, -12], [-12, 15, 10], [10, 25, -2], [-2, 23, 22], [22, 21, -3], [-3, 21, 22], [22, 23, -2], [-2, 25, 10], [10, 15, -12]] (m)c.f.e: [1, -2, 1, -2, 1, -1, 2, -12, 1, -7, 1, -12, 2, -1] 10 cycle: [[6, 15, -20], [-20, 25, 1], [1, 25, -20], [-20, 15, 6], [6, 21, -11], [-11, 23, 4], [4, 25, -5], [-5, 25, 4], [4, 23, -11], [-11, 21, 6]] (m)c.f.e: [-1, 25, -1, 3, -2, 6, -5, 6, -2, 3] 10 cycle: [[-6, 15, 20], [20, 25, -1], [-1, 25, 20], [20, 15, -6], [-6, 21, 11], [11, 23, -4], [-4, 25, 5], [5, 25, -4], [-4, 23, 11], [11, 21, -6]] (m)c.f.e: [1, -25, 1, -3, 2, -6, 5, -6, 2, -3] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 706 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 26, 3, 1, 1, 52] Pell solution, x^2- 706 y^2= 1 : [34595, 1302] ---------- 8 cycle: [[26, 4, -27], [-27, 50, 3], [3, 52, -10], [-10, 48, 13], [13, 30, -37], [-37, 44, 6], [6, 52, -5], [-5, 48, 26]] (m)c.f.e: [-1, 17, -5, 3, -1, 8, -10, 1] 8 cycle: [[-26, 4, 27], [27, 50, -3], [-3, 52, 10], [10, 48, -13], [-13, 30, 37], [37, 44, -6], [-6, 52, 5], [5, 48, -26]] (m)c.f.e: [1, -17, 5, -3, 1, -8, 10, -1] 8 cycle: [[27, 4, -26], [-26, 48, 5], [5, 52, -6], [-6, 44, 37], [37, 30, -13], [-13, 48, 10], [10, 52, -3], [-3, 50, 27]] (m)c.f.e: [-1, 10, -8, 1, -3, 5, -17, 1] 8 cycle: [[-27, 4, 26], [26, 48, -5], [-5, 52, 6], [6, 44, -37], [-37, 30, 13], [13, 48, -10], [-10, 52, 3], [3, 50, -27]] (m)c.f.e: [1, -10, 8, -1, 3, -5, 17, -1] 8 cycle: [[23, 8, -30], [-30, 52, 1], [1, 52, -30], [-30, 8, 23], [23, 38, -15], [-15, 52, 2], [2, 52, -15], [-15, 38, 23]] (m)c.f.e: [-1, 52, -1, 1, -3, 26, -3, 1] 8 cycle: [[-23, 8, 30], [30, 52, -1], [-1, 52, 30], [30, 8, -23], [-23, 38, 15], [15, 52, -2], [-2, 52, 15], [15, 38, -23]] (m)c.f.e: [1, -52, 1, -1, 3, -26, 3, -1] 14 cycle: [[25, 18, -25], [-25, 32, 18], [18, 40, -17], [-17, 28, 30], [30, 32, -15], [-15, 28, 34], [34, 40, -9], [-9, 50, 9], [9, 40, -34], [-34, 28, 15], [15, 32, -30], [-30, 28, 17], [17, 40, -18], [-18, 32, 25]] (m)c.f.e: [-1, 2, -2, 1, -2, 1, -5, 5, -1, 2, -1, 2, -2, 1] 14 cycle: [[-25, 18, 25], [25, 32, -18], [-18, 40, 17], [17, 28, -30], [-30, 32, 15], [15, 28, -34], [-34, 40, 9], [9, 50, -9], [-9, 40, 34], [34, 28, -15], [-15, 32, 30], [30, 28, -17], [-17, 40, 18], [18, 32, -25]] (m)c.f.e: [1, -2, 2, -1, 2, -1, 5, -5, 1, -2, 1, -2, 2, -1] number of reduced forms: 76 partition: [8, 8, 8, 8, 8, 8, 14, 14] ============================== d: 707 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 3, 2, 1, 1, 52] Pell solution, x^2- 707 y^2= 1 : [2526, 95] ---------- 8 cycle: [[22, 10, -31], [-31, 52, 1], [1, 52, -31], [-31, 10, 22], [22, 34, -19], [-19, 42, 14], [14, 42, -19], [-19, 34, 22]] (m)c.f.e: [-1, 52, -1, 1, -2, 3, -2, 1] 8 cycle: [[-22, 10, 31], [31, 52, -1], [-1, 52, 31], [31, 10, -22], [-22, 34, 19], [19, 42, -14], [-14, 42, 19], [19, 34, -22]] (m)c.f.e: [1, -52, 1, -1, 2, -3, 2, -1] 8 cycle: [[11, 32, -41], [-41, 50, 2], [2, 50, -41], [-41, 32, 11], [11, 34, -38], [-38, 42, 7], [7, 42, -38], [-38, 34, 11]] (m)c.f.e: [-1, 25, -1, 3, -1, 6, -1, 3] 8 cycle: [[-11, 32, 41], [41, 50, -2], [-2, 50, 41], [41, 32, -11], [-11, 34, 38], [38, 42, -7], [-7, 42, 38], [38, 34, -11]] (m)c.f.e: [1, -25, 1, -3, 1, -6, 1, -3] number of reduced forms: 32 partition: [8, 8, 8, 8] ============================== d: 709 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 7, 4, 3, 3, 4, 7, 2, 1, 1, 1, 52] Pell solution, x^2- 709 y^2= -1 : [18245310, 685217] ---------- 34 cycle: [[11, 7, -15], [-15, 23, 3], [3, 25, -7], [-7, 17, 15], [15, 13, -9], [-9, 23, 5], [5, 17, -21], [-21, 25, 1], [1, 25, -21], [-21, 17, 5], [5, 23, -9], [-9, 13, 15], [15, 17, -7], [-7, 25, 3], [3, 23, -15], [-15, 7, 11], [11, 15, -11], [-11, 7, 15], [15, 23, -3], [-3, 25, 7], [7, 17, -15], [-15, 13, 9], [9, 23, -5], [-5, 17, 21], [21, 25, -1], [-1, 25, 21], [21, 17, -5], [-5, 23, 9], [9, 13, -15], [-15, 17, 7], [7, 25, -3], [-3, 23, 15], [15, 7, -11], [-11, 15, 11]] (m)c.f.e: [-1, 8, -3, 1, -2, 4, -1, 25, -1, 4, -2, 1, -3, 8, -1, 1, -1, 1, -8, 3, -1, 2, -4, 1, -25, 1, -4, 2, -1, 3, -8, 1, -1, 1] number of reduced forms: 34 partition: [34] ============================== d: 710 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4, 1, 1, 1, 52] Pell solution, x^2- 710 y^2= 1 : [1279, 48] ---------- 8 cycle: [[19, 16, -34], [-34, 52, 1], [1, 52, -34], [-34, 16, 19], [19, 22, -31], [-31, 40, 10], [10, 40, -31], [-31, 22, 19]] (m)c.f.e: [-1, 52, -1, 1, -1, 4, -1, 1] 8 cycle: [[-19, 16, 34], [34, 52, -1], [-1, 52, 34], [34, 16, -19], [-19, 22, 31], [31, 40, -10], [-10, 40, 31], [31, 22, -19]] (m)c.f.e: [1, -52, 1, -1, 1, -4, 1, -1] 4 cycle: [[5, 50, -17], [-17, 52, 2], [2, 52, -17], [-17, 50, 5]] (m)c.f.e: [-3, 26, -3, 10] 4 cycle: [[-5, 50, 17], [17, 52, -2], [-2, 52, 17], [17, 50, -5]] (m)c.f.e: [3, -26, 3, -10] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 713 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 1, 4, 6, 2, 6, 4, 1, 2, 2, 1, 52] Pell solution, x^2- 713 y^2= 1 : [5286367, 197976] ---------- 14 cycle: [[8, 13, -17], [-17, 21, 4], [4, 19, -22], [-22, 25, 1], [1, 25, -22], [-22, 19, 4], [4, 21, -17], [-17, 13, 8], [8, 19, -11], [-11, 25, 2], [2, 23, -23], [-23, 23, 2], [2, 25, -11], [-11, 19, 8]] (m)c.f.e: [-1, 5, -1, 25, -1, 5, -1, 2, -2, 12, -1, 12, -2, 2] 14 cycle: [[-8, 13, 17], [17, 21, -4], [-4, 19, 22], [22, 25, -1], [-1, 25, 22], [22, 19, -4], [-4, 21, 17], [17, 13, -8], [-8, 19, 11], [11, 25, -2], [-2, 23, 23], [23, 23, -2], [-2, 25, 11], [11, 19, -8]] (m)c.f.e: [1, -5, 1, -25, 1, -5, 1, -2, 2, -12, 1, -12, 2, -2] number of reduced forms: 28 partition: [14, 14] ============================== d: 714 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 2, 1, 1, 2, 1, 52] Pell solution, x^2- 714 y^2= 1 : [4115, 154] ---------- 10 cycle: [[25, 16, -26], [-26, 36, 15], [15, 24, -38], [-38, 52, 1], [1, 52, -38], [-38, 24, 15], [15, 36, -26], [-26, 16, 25], [25, 34, -17], [-17, 34, 25]] (m)c.f.e: [-1, 2, -1, 52, -1, 2, -1, 1, -2, 1] 10 cycle: [[-25, 16, 26], [26, 36, -15], [-15, 24, 38], [38, 52, -1], [-1, 52, 38], [38, 24, -15], [-15, 36, 26], [26, 16, -25], [-25, 34, 17], [17, 34, -25]] (m)c.f.e: [1, -2, 1, -52, 1, -2, 1, -1, 2, -1] 8 cycle: [[19, 24, -30], [-30, 36, 13], [13, 42, -21], [-21, 42, 13], [13, 36, -30], [-30, 24, 19], [19, 52, -2], [-2, 52, 19]] (m)c.f.e: [-1, 3, -2, 3, -1, 2, -26, 2] 8 cycle: [[-19, 24, 30], [30, 36, -13], [-13, 42, 21], [21, 42, -13], [-13, 36, 30], [30, 24, -19], [-19, 52, 2], [2, 52, -19]] (m)c.f.e: [1, -3, 2, -3, 1, -2, 26, -2] 8 cycle: [[14, 28, -37], [-37, 46, 5], [5, 44, -46], [-46, 48, 3], [3, 48, -46], [-46, 44, 5], [5, 46, -37], [-37, 28, 14]] (m)c.f.e: [-1, 9, -1, 16, -1, 9, -1, 2] 8 cycle: [[-14, 28, 37], [37, 46, -5], [-5, 44, 46], [46, 48, -3], [-3, 48, 46], [46, 44, -5], [-5, 46, 37], [37, 28, -14]] (m)c.f.e: [1, -9, 1, -16, 1, -9, 1, -2] 8 cycle: [[10, 36, -39], [-39, 42, 7], [7, 42, -39], [-39, 36, 10], [10, 44, -23], [-23, 48, 6], [6, 48, -23], [-23, 44, 10]] (m)c.f.e: [-1, 6, -1, 4, -2, 8, -2, 4] 8 cycle: [[-10, 36, 39], [39, 42, -7], [-7, 42, 39], [39, 36, -10], [-10, 44, 23], [23, 48, -6], [-6, 48, 23], [23, 44, -10]] (m)c.f.e: [1, -6, 1, -4, 2, -8, 2, -4] number of reduced forms: 68 partition: [8, 8, 8, 8, 8, 8, 10, 10] ============================== d: 715 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 5, 5, 5, 1, 2, 1, 52] Pell solution, x^2- 715 y^2= 1 : [75646, 2829] ---------- 12 cycle: [[23, 10, -30], [-30, 50, 3], [3, 52, -13], [-13, 52, 3], [3, 50, -30], [-30, 10, 23], [23, 36, -17], [-17, 32, 27], [27, 22, -22], [-22, 22, 27], [27, 32, -17], [-17, 36, 23]] (m)c.f.e: [-1, 17, -4, 17, -1, 1, -2, 1, -1, 1, -2, 1] 12 cycle: [[-23, 10, 30], [30, 50, -3], [-3, 52, 13], [13, 52, -3], [-3, 50, 30], [30, 10, -23], [-23, 36, 17], [17, 32, -27], [-27, 22, 22], [22, 22, -27], [-27, 32, 17], [17, 36, -23]] (m)c.f.e: [1, -17, 4, -17, 1, -1, 2, -1, 1, -1, 2, -1] 12 cycle: [[21, 16, -31], [-31, 46, 6], [6, 50, -15], [-15, 40, 21], [21, 44, -11], [-11, 44, 21], [21, 40, -15], [-15, 50, 6], [6, 46, -31], [-31, 16, 21], [21, 26, -26], [-26, 26, 21]] (m)c.f.e: [-1, 8, -3, 2, -4, 2, -3, 8, -1, 1, -1, 1] 12 cycle: [[-21, 16, 31], [31, 46, -6], [-6, 50, 15], [15, 40, -21], [-21, 44, 11], [11, 44, -21], [-21, 40, 15], [15, 50, -6], [-6, 46, 31], [31, 16, -21], [-21, 26, 26], [26, 26, -21]] (m)c.f.e: [1, -8, 3, -2, 4, -2, 3, -8, 1, -1, 1, -1] 10 cycle: [[18, 22, -33], [-33, 44, 7], [7, 40, -45], [-45, 50, 2], [2, 50, -45], [-45, 40, 7], [7, 44, -33], [-33, 22, 18], [18, 50, -5], [-5, 50, 18]] (m)c.f.e: [-1, 6, -1, 25, -1, 6, -1, 2, -10, 2] 10 cycle: [[-18, 22, 33], [33, 44, -7], [-7, 40, 45], [45, 50, -2], [-2, 50, 45], [45, 40, -7], [-7, 44, 33], [33, 22, -18], [-18, 50, 5], [5, 50, -18]] (m)c.f.e: [1, -6, 1, -25, 1, -6, 1, -2, 10, -2] 10 cycle: [[14, 26, -39], [-39, 52, 1], [1, 52, -39], [-39, 26, 14], [14, 30, -35], [-35, 40, 9], [9, 50, -10], [-10, 50, 9], [9, 40, -35], [-35, 30, 14]] (m)c.f.e: [-1, 52, -1, 2, -1, 5, -5, 5, -1, 2] 10 cycle: [[-14, 26, 39], [39, 52, -1], [-1, 52, 39], [39, 26, -14], [-14, 30, 35], [35, 40, -9], [-9, 50, 10], [10, 50, -9], [-9, 40, 35], [35, 30, -14]] (m)c.f.e: [1, -52, 1, -2, 1, -5, 5, -5, 1, -2] number of reduced forms: 88 partition: [10, 10, 10, 10, 12, 12, 12, 12] ============================== d: 717 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 2, 12, 1, 16, 1, 12, 2, 3, 1, 52] Pell solution, x^2- 717 y^2= 1 : [6998399, 261360] ---------- 4 cycle: [[3, 21, -23], [-23, 25, 1], [1, 25, -23], [-23, 21, 3]] (m)c.f.e: [-1, 25, -1, 7] 4 cycle: [[-3, 21, 23], [23, 25, -1], [-1, 25, 23], [23, 21, -3]] (m)c.f.e: [1, -25, 1, -7] number of reduced forms: 8 partition: [4, 4] ============================== d: 718 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 8, 7, 1, 1, 5, 2, 2, 1, 2, 3, 1, 3, 17, 1, 1, 2, 26, 2, 1, 1, 17, 3, 1, 3, 2, 1, 2, 2, 5, 1, 1, 7, 8, 1, 3, 1, 52] Pell solution, x^2- 718 y^2= 1 : [8933399183036079503, 333391496474140716] ---------- 40 cycle: [[26, 8, -27], [-27, 46, 7], [7, 52, -6], [-6, 44, 39], [39, 34, -11], [-11, 32, 42], [42, 52, -1], [-1, 52, 42], [42, 32, -11], [-11, 34, 39], [39, 44, -6], [-6, 52, 7], [7, 46, -27], [-27, 8, 26], [26, 44, -9], [-9, 46, 21], [21, 38, -17], [-17, 30, 29], [29, 28, -18], [-18, 44, 13], [13, 34, -33], [-33, 32, 14], [14, 52, -3], [-3, 50, 31], [31, 12, -22], [-22, 32, 21], [21, 52, -2], [-2, 52, 21], [21, 32, -22], [-22, 12, 31], [31, 50, -3], [-3, 52, 14], [14, 32, -33], [-33, 34, 13], [13, 44, -18], [-18, 28, 29], [29, 30, -17], [-17, 38, 21], [21, 46, -9], [-9, 44, 26]] (m)c.f.e: [-1, 7, -8, 1, -3, 1, -52, 1, -3, 1, -8, 7, -1, 1, -5, 2, -2, 1, -2, 3, -1, 3, -17, 1, -1, 2, -26, 2, -1, 1, -17, 3, -1, 3, -2, 1, -2, 2, -5, 1] 40 cycle: [[-26, 8, 27], [27, 46, -7], [-7, 52, 6], [6, 44, -39], [-39, 34, 11], [11, 32, -42], [-42, 52, 1], [1, 52, -42], [-42, 32, 11], [11, 34, -39], [-39, 44, 6], [6, 52, -7], [-7, 46, 27], [27, 8, -26], [-26, 44, 9], [9, 46, -21], [-21, 38, 17], [17, 30, -29], [-29, 28, 18], [18, 44, -13], [-13, 34, 33], [33, 32, -14], [-14, 52, 3], [3, 50, -31], [-31, 12, 22], [22, 32, -21], [-21, 52, 2], [2, 52, -21], [-21, 32, 22], [22, 12, -31], [-31, 50, 3], [3, 52, -14], [-14, 32, 33], [33, 34, -13], [-13, 44, 18], [18, 28, -29], [-29, 30, 17], [17, 38, -21], [-21, 46, 9], [9, 44, -26]] (m)c.f.e: [1, -7, 8, -1, 3, -1, 52, -1, 3, -1, 8, -7, 1, -1, 5, -2, 2, -1, 2, -3, 1, -3, 17, -1, 1, -2, 26, -2, 1, -1, 17, -3, 1, -3, 2, -1, 2, -2, 5, -1] number of reduced forms: 80 partition: [40, 40] ============================== d: 719 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 2, 1, 1, 1, 1, 1, 4, 3, 1, 9, 1, 25, 1, 9, 1, 3, 4, 1, 1, 1, 1, 1, 2, 4, 1, 52] Pell solution, x^2- 719 y^2= 1 : [403480310400, 15047276489] ---------- 28 cycle: [[22, 18, -29], [-29, 40, 11], [11, 48, -13], [-13, 30, 38], [38, 46, -5], [-5, 44, 47], [47, 50, -2], [-2, 50, 47], [47, 44, -5], [-5, 46, 38], [38, 30, -13], [-13, 48, 11], [11, 40, -29], [-29, 18, 22], [22, 26, -25], [-25, 24, 23], [23, 22, -26], [-26, 30, 19], [19, 46, -10], [-10, 34, 43], [43, 52, -1], [-1, 52, 43], [43, 34, -10], [-10, 46, 19], [19, 30, -26], [-26, 22, 23], [23, 24, -25], [-25, 26, 22]] (m)c.f.e: [-1, 4, -3, 1, -9, 1, -25, 1, -9, 1, -3, 4, -1, 1, -1, 1, -1, 2, -4, 1, -52, 1, -4, 2, -1, 1, -1, 1] 28 cycle: [[-22, 18, 29], [29, 40, -11], [-11, 48, 13], [13, 30, -38], [-38, 46, 5], [5, 44, -47], [-47, 50, 2], [2, 50, -47], [-47, 44, 5], [5, 46, -38], [-38, 30, 13], [13, 48, -11], [-11, 40, 29], [29, 18, -22], [-22, 26, 25], [25, 24, -23], [-23, 22, 26], [26, 30, -19], [-19, 46, 10], [10, 34, -43], [-43, 52, 1], [1, 52, -43], [-43, 34, 10], [10, 46, -19], [-19, 30, 26], [26, 22, -23], [-23, 24, 25], [25, 26, -22]] (m)c.f.e: [1, -4, 3, -1, 9, -1, 25, -1, 9, -1, 3, -4, 1, -1, 1, -1, 1, -2, 4, -1, 52, -1, 4, -2, 1, -1, 1, -1] number of reduced forms: 56 partition: [28, 28] ============================== d: 721 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 17, 3, 1, 1, 10, 5, 1, 6, 1, 5, 10, 1, 1, 3, 17, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 5, 1, 52] Pell solution, x^2- 721 y^2= 1 : [18632176943292415, 693898530122112] ---------- 36 cycle: [[12, 7, -14], [-14, 21, 5], [5, 19, -18], [-18, 17, 6], [6, 19, -15], [-15, 11, 10], [10, 9, -16], [-16, 23, 3], [3, 25, -8], [-8, 23, 6], [6, 25, -4], [-4, 23, 12], [12, 25, -2], [-2, 23, 24], [24, 25, -1], [-1, 25, 24], [24, 23, -2], [-2, 25, 12], [12, 23, -4], [-4, 25, 6], [6, 23, -8], [-8, 25, 3], [3, 23, -16], [-16, 9, 10], [10, 11, -15], [-15, 19, 6], [6, 17, -18], [-18, 19, 5], [5, 21, -14], [-14, 7, 12], [12, 17, -9], [-9, 19, 10], [10, 21, -7], [-7, 21, 10], [10, 19, -9], [-9, 17, 12]] (m)c.f.e: [-1, 4, -1, 3, -1, 1, -1, 8, -3, 4, -6, 2, -12, 1, -25, 1, -12, 2, -6, 4, -3, 8, -1, 1, -1, 3, -1, 4, -1, 1, -2, 2, -3, 2, -2, 1] 36 cycle: [[-12, 7, 14], [14, 21, -5], [-5, 19, 18], [18, 17, -6], [-6, 19, 15], [15, 11, -10], [-10, 9, 16], [16, 23, -3], [-3, 25, 8], [8, 23, -6], [-6, 25, 4], [4, 23, -12], [-12, 25, 2], [2, 23, -24], [-24, 25, 1], [1, 25, -24], [-24, 23, 2], [2, 25, -12], [-12, 23, 4], [4, 25, -6], [-6, 23, 8], [8, 25, -3], [-3, 23, 16], [16, 9, -10], [-10, 11, 15], [15, 19, -6], [-6, 17, 18], [18, 19, -5], [-5, 21, 14], [14, 7, -12], [-12, 17, 9], [9, 19, -10], [-10, 21, 7], [7, 21, -10], [-10, 19, 9], [9, 17, -12]] (m)c.f.e: [1, -4, 1, -3, 1, -1, 1, -8, 3, -4, 6, -2, 12, -1, 25, -1, 12, -2, 6, -4, 3, -8, 1, -1, 1, -3, 1, -4, 1, -1, 2, -2, 3, -2, 2, -1] number of reduced forms: 72 partition: [36, 36] ============================== d: 723 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 1, 52] Pell solution, x^2- 723 y^2= 1 : [242, 9] ---------- 6 cycle: [[17, 28, -31], [-31, 34, 14], [14, 50, -7], [-7, 48, 21], [21, 36, -19], [-19, 40, 17]] (m)c.f.e: [-1, 3, -7, 2, -2, 2] 6 cycle: [[-17, 28, 31], [31, 34, -14], [-14, 50, 7], [7, 48, -21], [-21, 36, 19], [19, 40, -17]] (m)c.f.e: [1, -3, 7, -2, 2, -2] 6 cycle: [[31, 28, -17], [-17, 40, 19], [19, 36, -21], [-21, 48, 7], [7, 50, -14], [-14, 34, 31]] (m)c.f.e: [-2, 2, -2, 7, -3, 1] 6 cycle: [[-31, 28, 17], [17, 40, -19], [-19, 36, 21], [21, 48, -7], [-7, 50, 14], [14, 34, -31]] (m)c.f.e: [2, -2, 2, -7, 3, -1] 4 cycle: [[6, 42, -47], [-47, 52, 1], [1, 52, -47], [-47, 42, 6]] (m)c.f.e: [-1, 52, -1, 7] 4 cycle: [[-6, 42, 47], [47, 52, -1], [-1, 52, 47], [47, 42, -6]] (m)c.f.e: [1, -52, 1, -7] 4 cycle: [[3, 48, -49], [-49, 50, 2], [2, 50, -49], [-49, 48, 3]] (m)c.f.e: [-1, 25, -1, 16] 4 cycle: [[-3, 48, 49], [49, 50, -2], [-2, 50, 49], [49, 48, -3]] (m)c.f.e: [1, -25, 1, -16] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 727 number of cycles (narrow class number): 10 class number: 5 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 25, 1, 52] Pell solution, x^2- 727 y^2= 1 : [728, 27] ---------- 8 cycle: [[26, 10, -27], [-27, 44, 9], [9, 46, -22], [-22, 42, 13], [13, 36, -31], [-31, 26, 18], [18, 46, -11], [-11, 42, 26]] (m)c.f.e: [-1, 5, -2, 3, -1, 2, -4, 1] 8 cycle: [[-26, 10, 27], [27, 44, -9], [-9, 46, 22], [22, 42, -13], [-13, 36, 31], [31, 26, -18], [-18, 46, 11], [11, 42, -26]] (m)c.f.e: [1, -5, 2, -3, 1, -2, 4, -1] 8 cycle: [[27, 10, -26], [-26, 42, 11], [11, 46, -18], [-18, 26, 31], [31, 36, -13], [-13, 42, 22], [22, 46, -9], [-9, 44, 27]] (m)c.f.e: [-1, 4, -2, 1, -3, 2, -5, 1] 8 cycle: [[-27, 10, 26], [26, 42, -11], [-11, 46, 18], [18, 26, -31], [-31, 36, 13], [13, 42, -22], [-22, 46, 9], [9, 44, -27]] (m)c.f.e: [1, -4, 2, -1, 3, -2, 5, -1] 6 cycle: [[19, 18, -34], [-34, 50, 3], [3, 52, -17], [-17, 50, 6], [6, 46, -33], [-33, 20, 19]] (m)c.f.e: [-1, 17, -3, 8, -1, 1] 6 cycle: [[-19, 18, 34], [34, 50, -3], [-3, 52, 17], [17, 50, -6], [-6, 46, 33], [33, 20, -19]] (m)c.f.e: [1, -17, 3, -8, 1, -1] 6 cycle: [[34, 18, -19], [-19, 20, 33], [33, 46, -6], [-6, 50, 17], [17, 52, -3], [-3, 50, 34]] (m)c.f.e: [-1, 1, -8, 3, -17, 1] 6 cycle: [[-34, 18, 19], [19, 20, -33], [-33, 46, 6], [6, 50, -17], [-17, 52, 3], [3, 50, -34]] (m)c.f.e: [1, -1, 8, -3, 17, -1] 4 cycle: [[2, 50, -51], [-51, 52, 1], [1, 52, -51], [-51, 50, 2]] (m)c.f.e: [-1, 52, -1, 25] 4 cycle: [[-2, 50, 51], [51, 52, -1], [-1, 52, 51], [51, 50, -2]] (m)c.f.e: [1, -52, 1, -25] number of reduced forms: 64 partition: [4, 4, 6, 6, 6, 6, 8, 8, 8, 8] ============================== d: 730 number of cycles (narrow class number): 12 class number: 12 c.f.e. of sqrt(d)-floor(sqrt(d)): [54] Pell solution, x^2- 730 y^2= -1 : [27, 1] ---------- 6 cycle: [[27, 2, -27], [-27, 52, 2], [2, 52, -27], [-27, 2, 27], [27, 52, -2], [-2, 52, 27]] (m)c.f.e: [-1, 26, -1, 1, -26, 1] 6 cycle: [[18, 20, -35], [-35, 50, 3], [3, 52, -18], [-18, 20, 35], [35, 50, -3], [-3, 52, 18]] (m)c.f.e: [-1, 17, -2, 1, -17, 2] 10 cycle: [[21, 20, -30], [-30, 40, 11], [11, 48, -14], [-14, 36, 29], [29, 22, -21], [-21, 20, 30], [30, 40, -11], [-11, 48, 14], [14, 36, -29], [-29, 22, 21]] (m)c.f.e: [-1, 4, -3, 1, -1, 1, -4, 3, -1, 1] 10 cycle: [[30, 20, -21], [-21, 22, 29], [29, 36, -14], [-14, 48, 11], [11, 40, -30], [-30, 20, 21], [21, 22, -29], [-29, 36, 14], [14, 48, -11], [-11, 40, 30]] (m)c.f.e: [-1, 1, -3, 4, -1, 1, -1, 3, -4, 1] 6 cycle: [[35, 20, -18], [-18, 52, 3], [3, 50, -35], [-35, 20, 18], [18, 52, -3], [-3, 50, 35]] (m)c.f.e: [-2, 17, -1, 2, -17, 1] 10 cycle: [[17, 26, -33], [-33, 40, 10], [10, 40, -33], [-33, 26, 17], [17, 42, -17], [-17, 26, 33], [33, 40, -10], [-10, 40, 33], [33, 26, -17], [-17, 42, 17]] (m)c.f.e: [-1, 4, -1, 2, -2, 1, -4, 1, -2, 2] 6 cycle: [[21, 34, -21], [-21, 50, 5], [5, 50, -21], [-21, 34, 21], [21, 50, -5], [-5, 50, 21]] (m)c.f.e: [-2, 10, -2, 2, -10, 2] 6 cycle: [[9, 38, -41], [-41, 44, 6], [6, 52, -9], [-9, 38, 41], [41, 44, -6], [-6, 52, 9]] (m)c.f.e: [-1, 8, -5, 1, -8, 5] 6 cycle: [[41, 38, -9], [-9, 52, 6], [6, 44, -41], [-41, 38, 9], [9, 52, -6], [-6, 44, 41]] (m)c.f.e: [-5, 8, -1, 5, -8, 1] 6 cycle: [[15, 40, -22], [-22, 48, 7], [7, 50, -15], [-15, 40, 22], [22, 48, -7], [-7, 50, 15]] (m)c.f.e: [-2, 7, -3, 2, -7, 3] 6 cycle: [[22, 40, -15], [-15, 50, 7], [7, 48, -22], [-22, 40, 15], [15, 50, -7], [-7, 48, 22]] (m)c.f.e: [-3, 7, -2, 3, -7, 2] 2 cycle: [[1, 54, -1], [-1, 54, 1]] (m)c.f.e: [-54, 54] number of reduced forms: 80 partition: [2, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10] ============================== d: 731 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [27, 54] Pell solution, x^2- 731 y^2= 1 : [730, 27] ---------- 8 cycle: [[22, 14, -31], [-31, 48, 5], [5, 52, -11], [-11, 36, 37], [37, 38, -10], [-10, 42, 29], [29, 16, -23], [-23, 30, 22]] (m)c.f.e: [-1, 10, -4, 1, -4, 1, -1, 1] 8 cycle: [[-22, 14, 31], [31, 48, -5], [-5, 52, 11], [11, 36, -37], [-37, 38, 10], [10, 42, -29], [-29, 16, 23], [23, 30, -22]] (m)c.f.e: [1, -10, 4, -1, 4, -1, 1, -1] 8 cycle: [[31, 14, -22], [-22, 30, 23], [23, 16, -29], [-29, 42, 10], [10, 38, -37], [-37, 36, 11], [11, 52, -5], [-5, 48, 31]] (m)c.f.e: [-1, 1, -1, 4, -1, 4, -10, 1] 8 cycle: [[-31, 14, 22], [22, 30, -23], [-23, 16, 29], [29, 42, -10], [-10, 38, 37], [37, 36, -11], [-11, 52, 5], [5, 48, -31]] (m)c.f.e: [1, -1, 1, -4, 1, -4, 10, -1] 10 cycle: [[25, 18, -26], [-26, 34, 17], [17, 34, -26], [-26, 18, 25], [25, 32, -19], [-19, 44, 13], [13, 34, -34], [-34, 34, 13], [13, 44, -19], [-19, 32, 25]] (m)c.f.e: [-1, 2, -1, 1, -2, 3, -1, 3, -2, 1] 10 cycle: [[-25, 18, 26], [26, 34, -17], [-17, 34, 26], [26, 18, -25], [-25, 32, 19], [19, 44, -13], [-13, 34, 34], [34, 34, -13], [-13, 44, 19], [19, 32, -25]] (m)c.f.e: [1, -2, 1, -1, 2, -3, 1, -3, 2, -1] 2 cycle: [[1, 54, -2], [-2, 54, 1]] (m)c.f.e: [-27, 54] 2 cycle: [[-1, 54, 2], [2, 54, -1]] (m)c.f.e: [27, -54] number of reduced forms: 56 partition: [2, 2, 8, 8, 8, 8, 10, 10] ============================== d: 733 number of cycles (narrow class number): 3 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [13, 1, 1, 13, 54] Pell solution, x^2- 733 y^2= -1 : [9882, 365] ---------- 6 cycle: [[9, 11, -17], [-17, 23, 3], [3, 25, -9], [-9, 11, 17], [17, 23, -3], [-3, 25, 9]] (m)c.f.e: [-1, 8, -2, 1, -8, 2] 6 cycle: [[17, 11, -9], [-9, 25, 3], [3, 23, -17], [-17, 11, 9], [9, 25, -3], [-3, 23, 17]] (m)c.f.e: [-2, 8, -1, 2, -8, 1] 2 cycle: [[1, 27, -1], [-1, 27, 1]] (m)c.f.e: [-27, 27] number of reduced forms: 14 partition: [2, 6, 6] ============================== d: 734 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 1, 4, 1, 1, 26, 1, 1, 4, 1, 10, 54] Pell solution, x^2- 734 y^2= 1 : [10394175, 383656] ---------- 12 cycle: [[25, 6, -29], [-29, 52, 2], [2, 52, -29], [-29, 6, 25], [25, 44, -10], [-10, 36, 41], [41, 46, -5], [-5, 54, 1], [1, 54, -5], [-5, 46, 41], [41, 36, -10], [-10, 44, 25]] (m)c.f.e: [-1, 26, -1, 1, -4, 1, -10, 54, -10, 1, -4, 1] 12 cycle: [[-25, 6, 29], [29, 52, -2], [-2, 52, 29], [29, 6, -25], [-25, 44, 10], [10, 36, -41], [-41, 46, 5], [5, 54, -1], [-1, 54, 5], [5, 46, -41], [-41, 36, 10], [10, 44, -25]] (m)c.f.e: [1, -26, 1, -1, 4, -1, 10, -54, 10, -1, 4, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 737 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 1, 3, 3, 7, 2, 4, 2, 7, 3, 3, 1, 6, 54] Pell solution, x^2- 737 y^2= 1 : [252975383, 9318468] ---------- 18 cycle: [[13, 3, -14], [-14, 25, 2], [2, 27, -1], [-1, 27, 2], [2, 25, -14], [-14, 3, 13], [13, 23, -4], [-4, 25, 7], [7, 17, -16], [-16, 15, 8], [8, 17, -14], [-14, 11, 11], [11, 11, -14], [-14, 17, 8], [8, 15, -16], [-16, 17, 7], [7, 25, -4], [-4, 23, 13]] (m)c.f.e: [-1, 13, -27, 13, -1, 1, -6, 3, -1, 2, -1, 1, -1, 2, -1, 3, -6, 1] 18 cycle: [[-13, 3, 14], [14, 25, -2], [-2, 27, 1], [1, 27, -2], [-2, 25, 14], [14, 3, -13], [-13, 23, 4], [4, 25, -7], [-7, 17, 16], [16, 15, -8], [-8, 17, 14], [14, 11, -11], [-11, 11, 14], [14, 17, -8], [-8, 15, 16], [16, 17, -7], [-7, 25, 4], [4, 23, -13]] (m)c.f.e: [1, -13, 27, -13, 1, -1, 6, -3, 1, -2, 1, -1, 1, -2, 1, -3, 6, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 739 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 2, 2, 1, 1, 3, 3, 2, 1, 8, 2, 1, 2, 1, 17, 2, 1, 1, 7, 5, 1, 10, 27, 10, 1, 5, 7, 1, 1, 2, 17, 1, 2, 1, 2, 8, 1, 2, 3, 3, 1, 1, 2, 2, 5, 54] Pell solution, x^2- 739 y^2= 1 : [98015661073616742153890, 3605564376516452758671] ---------- 46 cycle: [[23, 14, -30], [-30, 46, 7], [7, 52, -9], [-9, 38, 42], [42, 46, -5], [-5, 54, 2], [2, 54, -5], [-5, 46, 42], [42, 38, -9], [-9, 52, 7], [7, 46, -30], [-30, 14, 23], [23, 32, -21], [-21, 52, 3], [3, 50, -38], [-38, 26, 15], [15, 34, -30], [-30, 26, 19], [19, 50, -6], [-6, 46, 35], [35, 24, -17], [-17, 44, 15], [15, 46, -14], [-14, 38, 27], [27, 16, -25], [-25, 34, 18], [18, 38, -21], [-21, 46, 10], [10, 54, -1], [-1, 54, 10], [10, 46, -21], [-21, 38, 18], [18, 34, -25], [-25, 16, 27], [27, 38, -14], [-14, 46, 15], [15, 44, -17], [-17, 24, 35], [35, 46, -6], [-6, 50, 19], [19, 26, -30], [-30, 34, 15], [15, 26, -38], [-38, 50, 3], [3, 52, -21], [-21, 32, 23]] (m)c.f.e: [-1, 7, -5, 1, -10, 27, -10, 1, -5, 7, -1, 1, -2, 17, -1, 2, -1, 2, -8, 1, -2, 3, -3, 1, -1, 2, -2, 5, -54, 5, -2, 2, -1, 1, -3, 3, -2, 1, -8, 2, -1, 2, -1, 17, -2, 1] 46 cycle: [[-23, 14, 30], [30, 46, -7], [-7, 52, 9], [9, 38, -42], [-42, 46, 5], [5, 54, -2], [-2, 54, 5], [5, 46, -42], [-42, 38, 9], [9, 52, -7], [-7, 46, 30], [30, 14, -23], [-23, 32, 21], [21, 52, -3], [-3, 50, 38], [38, 26, -15], [-15, 34, 30], [30, 26, -19], [-19, 50, 6], [6, 46, -35], [-35, 24, 17], [17, 44, -15], [-15, 46, 14], [14, 38, -27], [-27, 16, 25], [25, 34, -18], [-18, 38, 21], [21, 46, -10], [-10, 54, 1], [1, 54, -10], [-10, 46, 21], [21, 38, -18], [-18, 34, 25], [25, 16, -27], [-27, 38, 14], [14, 46, -15], [-15, 44, 17], [17, 24, -35], [-35, 46, 6], [6, 50, -19], [-19, 26, 30], [30, 34, -15], [-15, 26, 38], [38, 50, -3], [-3, 52, 21], [21, 32, -23]] (m)c.f.e: [1, -7, 5, -1, 10, -27, 10, -1, 5, -7, 1, -1, 2, -17, 1, -2, 1, -2, 8, -1, 2, -3, 3, -1, 1, -2, 2, -5, 54, -5, 2, -2, 1, -1, 3, -3, 2, -1, 8, -2, 1, -2, 1, -17, 2, -1] number of reduced forms: 92 partition: [46, 46] ============================== d: 741 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 1, 13, 18, 13, 1, 1, 4, 54] Pell solution, x^2- 741 y^2= 1 : [7352695, 270108] ---------- 8 cycle: [[11, 9, -15], [-15, 21, 5], [5, 19, -19], [-19, 19, 5], [5, 21, -15], [-15, 9, 11], [11, 13, -13], [-13, 13, 11]] (m)c.f.e: [-1, 4, -1, 4, -1, 1, -1, 1] 8 cycle: [[-11, 9, 15], [15, 21, -5], [-5, 19, 19], [19, 19, -5], [-5, 21, 15], [15, 9, -11], [-11, 13, 13], [13, 13, -11]] (m)c.f.e: [1, -4, 1, -4, 1, -1, 1, -1] 2 cycle: [[1, 27, -3], [-3, 27, 1]] (m)c.f.e: [-9, 27] 2 cycle: [[-1, 27, 3], [3, 27, -1]] (m)c.f.e: [9, -27] number of reduced forms: 20 partition: [2, 2, 8, 8] ============================== d: 742 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54] Pell solution, x^2- 742 y^2= 1 : [263091151, 9658380] ---------- 22 cycle: [[21, 14, -33], [-33, 52, 2], [2, 52, -33], [-33, 14, 21], [21, 28, -26], [-26, 24, 23], [23, 22, -27], [-27, 32, 18], [18, 40, -19], [-19, 36, 22], [22, 52, -3], [-3, 50, 39], [39, 28, -14], [-14, 28, 39], [39, 50, -3], [-3, 52, 22], [22, 36, -19], [-19, 40, 18], [18, 32, -27], [-27, 22, 23], [23, 24, -26], [-26, 28, 21]] (m)c.f.e: [-1, 26, -1, 1, -1, 1, -1, 2, -2, 2, -17, 1, -2, 1, -17, 2, -2, 2, -1, 1, -1, 1] 22 cycle: [[-21, 14, 33], [33, 52, -2], [-2, 52, 33], [33, 14, -21], [-21, 28, 26], [26, 24, -23], [-23, 22, 27], [27, 32, -18], [-18, 40, 19], [19, 36, -22], [-22, 52, 3], [3, 50, -39], [-39, 28, 14], [14, 28, -39], [-39, 50, 3], [3, 52, -22], [-22, 36, 19], [19, 40, -18], [-18, 32, 27], [27, 22, -23], [-23, 24, 26], [26, 28, -21]] (m)c.f.e: [1, -26, 1, -1, 1, -1, 1, -2, 2, -2, 17, -1, 2, -1, 17, -2, 2, -2, 1, -1, 1, -1] 14 cycle: [[11, 36, -38], [-38, 40, 9], [9, 50, -13], [-13, 54, 1], [1, 54, -13], [-13, 50, 9], [9, 40, -38], [-38, 36, 11], [11, 52, -6], [-6, 44, 43], [43, 42, -7], [-7, 42, 43], [43, 44, -6], [-6, 52, 11]] (m)c.f.e: [-1, 5, -4, 54, -4, 5, -1, 4, -8, 1, -6, 1, -8, 4] 14 cycle: [[-11, 36, 38], [38, 40, -9], [-9, 50, 13], [13, 54, -1], [-1, 54, 13], [13, 50, -9], [-9, 40, 38], [38, 36, -11], [-11, 52, 6], [6, 44, -43], [-43, 42, 7], [7, 42, -43], [-43, 44, 6], [6, 52, -11]] (m)c.f.e: [1, -5, 4, -54, 4, -5, 1, -4, 8, -1, 6, -1, 8, -4] number of reduced forms: 72 partition: [14, 14, 22, 22] ============================== d: 743 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 7, 27, 7, 1, 3, 54] Pell solution, x^2- 743 y^2= 1 : [714024, 26195] ---------- 8 cycle: [[14, 30, -37], [-37, 44, 7], [7, 54, -2], [-2, 54, 7], [7, 44, -37], [-37, 30, 14], [14, 54, -1], [-1, 54, 14]] (m)c.f.e: [-1, 7, -27, 7, -1, 3, -54, 3] 8 cycle: [[-14, 30, 37], [37, 44, -7], [-7, 54, 2], [2, 54, -7], [-7, 44, 37], [37, 30, -14], [-14, 54, 1], [1, 54, -14]] (m)c.f.e: [1, -7, 27, -7, 1, -3, 54, -3] number of reduced forms: 16 partition: [8, 8] ============================== d: 745 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54] Pell solution, x^2- 745 y^2= 1 : [12769001, 467820] ---------- 18 cycle: [[12, 5, -15], [-15, 25, 2], [2, 27, -2], [-2, 25, 15], [15, 5, -12], [-12, 19, 8], [8, 13, -18], [-18, 23, 3], [3, 25, -10], [-10, 15, 13], [13, 11, -12], [-12, 13, 12], [12, 11, -13], [-13, 15, 10], [10, 25, -3], [-3, 23, 18], [18, 13, -8], [-8, 19, 12]] (m)c.f.e: [-1, 13, -13, 1, -1, 2, -1, 8, -2, 1, -1, 1, -1, 2, -8, 1, -2, 1] 18 cycle: [[-12, 5, 15], [15, 25, -2], [-2, 27, 2], [2, 25, -15], [-15, 5, 12], [12, 19, -8], [-8, 13, 18], [18, 23, -3], [-3, 25, 10], [10, 15, -13], [-13, 11, 12], [12, 13, -12], [-12, 11, 13], [13, 15, -10], [-10, 25, 3], [3, 23, -18], [-18, 13, 8], [8, 19, -12]] (m)c.f.e: [1, -13, 13, -1, 1, -2, 1, -8, 2, -1, 1, -1, 1, -2, 8, -1, 2, -1] 14 cycle: [[9, 13, -16], [-16, 19, 6], [6, 17, -19], [-19, 21, 4], [4, 27, -1], [-1, 27, 4], [4, 21, -19], [-19, 17, 6], [6, 19, -16], [-16, 13, 9], [9, 23, -6], [-6, 25, 5], [5, 25, -6], [-6, 23, 9]] (m)c.f.e: [-1, 3, -1, 6, -27, 6, -1, 3, -1, 2, -4, 5, -4, 2] 14 cycle: [[-9, 13, 16], [16, 19, -6], [-6, 17, 19], [19, 21, -4], [-4, 27, 1], [1, 27, -4], [-4, 21, 19], [19, 17, -6], [-6, 19, 16], [16, 13, -9], [-9, 23, 6], [6, 25, -5], [-5, 25, 6], [6, 23, -9]] (m)c.f.e: [1, -3, 1, -6, 27, -6, 1, -3, 1, -2, 4, -5, 4, -2] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 746 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 5, 7, 1, 1, 1, 1, 1, 1, 7, 5, 3, 54] Pell solution, x^2- 746 y^2= -1 : [5534843, 202645] ---------- 26 cycle: [[22, 16, -31], [-31, 46, 7], [7, 52, -10], [-10, 48, 17], [17, 54, -1], [-1, 54, 17], [17, 48, -10], [-10, 52, 7], [7, 46, -31], [-31, 16, 22], [22, 28, -25], [-25, 22, 25], [25, 28, -22], [-22, 16, 31], [31, 46, -7], [-7, 52, 10], [10, 48, -17], [-17, 54, 1], [1, 54, -17], [-17, 48, 10], [10, 52, -7], [-7, 46, 31], [31, 16, -22], [-22, 28, 25], [25, 22, -25], [-25, 28, 22]] (m)c.f.e: [-1, 7, -5, 3, -54, 3, -5, 7, -1, 1, -1, 1, -1, 1, -7, 5, -3, 54, -3, 5, -7, 1, -1, 1, -1, 1] 30 cycle: [[19, 18, -35], [-35, 52, 2], [2, 52, -35], [-35, 18, 19], [19, 20, -34], [-34, 48, 5], [5, 52, -14], [-14, 32, 35], [35, 38, -11], [-11, 50, 11], [11, 38, -35], [-35, 32, 14], [14, 52, -5], [-5, 48, 34], [34, 20, -19], [-19, 18, 35], [35, 52, -2], [-2, 52, 35], [35, 18, -19], [-19, 20, 34], [34, 48, -5], [-5, 52, 14], [14, 32, -35], [-35, 38, 11], [11, 50, -11], [-11, 38, 35], [35, 32, -14], [-14, 52, 5], [5, 48, -34], [-34, 20, 19]] (m)c.f.e: [-1, 26, -1, 1, -1, 10, -3, 1, -4, 4, -1, 3, -10, 1, -1, 1, -26, 1, -1, 1, -10, 3, -1, 4, -4, 1, -3, 10, -1, 1] number of reduced forms: 56 partition: [26, 30] ============================== d: 749 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 2, 1, 1, 4, 2, 1, 1, 13, 10, 1, 6, 1, 10, 13, 1, 1, 2, 4, 1, 1, 2, 1, 2, 54] Pell solution, x^2- 749 y^2= 1 : [1084616384895, 39631020176] ---------- 6 cycle: [[7, 21, -11], [-11, 23, 5], [5, 27, -1], [-1, 27, 5], [5, 23, -11], [-11, 21, 7]] (m)c.f.e: [-2, 5, -27, 5, -2, 3] 6 cycle: [[-7, 21, 11], [11, 23, -5], [-5, 27, 1], [1, 27, -5], [-5, 23, 11], [11, 21, -7]] (m)c.f.e: [2, -5, 27, -5, 2, -3] number of reduced forms: 12 partition: [6, 6] ============================== d: 751 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 8, 1, 2, 1, 3, 5, 1, 4, 1, 1, 1, 3, 1, 1, 3, 10, 1, 2, 7, 2, 17, 1, 4, 27, 4, 1, 17, 2, 7, 2, 1, 10, 3, 1, 1, 3, 1, 1, 1, 4, 1, 5, 3, 1, 2, 1, 8, 2, 2, 54] Pell solution, x^2- 751 y^2= 1 : [7293318466794882424418960, 266136970677206024456793] ---------- 52 cycle: [[26, 14, -27], [-27, 40, 13], [13, 38, -30], [-30, 22, 21], [21, 20, -31], [-31, 42, 10], [10, 38, -39], [-39, 40, 9], [9, 50, -14], [-14, 34, 33], [33, 32, -15], [-15, 28, 37], [37, 46, -6], [-6, 50, 21], [21, 34, -22], [-22, 54, 1], [1, 54, -22], [-22, 34, 21], [21, 50, -6], [-6, 46, 37], [37, 28, -15], [-15, 32, 33], [33, 34, -14], [-14, 50, 9], [9, 40, -39], [-39, 38, 10], [10, 42, -31], [-31, 20, 21], [21, 22, -30], [-30, 38, 13], [13, 40, -27], [-27, 14, 26], [26, 38, -15], [-15, 52, 5], [5, 48, -35], [-35, 22, 18], [18, 50, -7], [-7, 48, 25], [25, 52, -3], [-3, 50, 42], [42, 34, -11], [-11, 54, 2], [2, 54, -11], [-11, 34, 42], [42, 50, -3], [-3, 52, 25], [25, 48, -7], [-7, 50, 18], [18, 22, -35], [-35, 48, 5], [5, 52, -15], [-15, 38, 26]] (m)c.f.e: [-1, 3, -1, 1, -1, 4, -1, 5, -3, 1, -2, 1, -8, 2, -2, 54, -2, 2, -8, 1, -2, 1, -3, 5, -1, 4, -1, 1, -1, 3, -1, 1, -3, 10, -1, 2, -7, 2, -17, 1, -4, 27, -4, 1, -17, 2, -7, 2, -1, 10, -3, 1] 52 cycle: [[-26, 14, 27], [27, 40, -13], [-13, 38, 30], [30, 22, -21], [-21, 20, 31], [31, 42, -10], [-10, 38, 39], [39, 40, -9], [-9, 50, 14], [14, 34, -33], [-33, 32, 15], [15, 28, -37], [-37, 46, 6], [6, 50, -21], [-21, 34, 22], [22, 54, -1], [-1, 54, 22], [22, 34, -21], [-21, 50, 6], [6, 46, -37], [-37, 28, 15], [15, 32, -33], [-33, 34, 14], [14, 50, -9], [-9, 40, 39], [39, 38, -10], [-10, 42, 31], [31, 20, -21], [-21, 22, 30], [30, 38, -13], [-13, 40, 27], [27, 14, -26], [-26, 38, 15], [15, 52, -5], [-5, 48, 35], [35, 22, -18], [-18, 50, 7], [7, 48, -25], [-25, 52, 3], [3, 50, -42], [-42, 34, 11], [11, 54, -2], [-2, 54, 11], [11, 34, -42], [-42, 50, 3], [3, 52, -25], [-25, 48, 7], [7, 50, -18], [-18, 22, 35], [35, 48, -5], [-5, 52, 15], [15, 38, -26]] (m)c.f.e: [1, -3, 1, -1, 1, -4, 1, -5, 3, -1, 2, -1, 8, -2, 2, -54, 2, -2, 8, -1, 2, -1, 3, -5, 1, -4, 1, -1, 1, -3, 1, -1, 3, -10, 1, -2, 7, -2, 17, -1, 4, -27, 4, -1, 17, -2, 7, -2, 1, -10, 3, -1] number of reduced forms: 104 partition: [52, 52] ============================== d: 753 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 1, 2, 1, 1, 1, 7, 4, 1, 6, 18, 6, 1, 4, 7, 1, 1, 1, 2, 1, 3, 2, 54] Pell solution, x^2- 753 y^2= 1 : [308526027863, 11243313484] ---------- 24 cycle: [[13, 5, -14], [-14, 23, 4], [4, 25, -8], [-8, 23, 7], [7, 19, -14], [-14, 9, 12], [12, 15, -11], [-11, 7, 16], [16, 25, -2], [-2, 27, 3], [3, 27, -2], [-2, 25, 16], [16, 7, -11], [-11, 15, 12], [12, 9, -14], [-14, 19, 7], [7, 23, -8], [-8, 25, 4], [4, 23, -14], [-14, 5, 13], [13, 21, -6], [-6, 27, 1], [1, 27, -6], [-6, 21, 13]] (m)c.f.e: [-1, 6, -3, 3, -1, 1, -1, 1, -13, 9, -13, 1, -1, 1, -1, 3, -3, 6, -1, 1, -4, 27, -4, 1] 24 cycle: [[-13, 5, 14], [14, 23, -4], [-4, 25, 8], [8, 23, -7], [-7, 19, 14], [14, 9, -12], [-12, 15, 11], [11, 7, -16], [-16, 25, 2], [2, 27, -3], [-3, 27, 2], [2, 25, -16], [-16, 7, 11], [11, 15, -12], [-12, 9, 14], [14, 19, -7], [-7, 23, 8], [8, 25, -4], [-4, 23, 14], [14, 5, -13], [-13, 21, 6], [6, 27, -1], [-1, 27, 6], [6, 21, -13]] (m)c.f.e: [1, -6, 3, -3, 1, -1, 1, -1, 13, -9, 13, -1, 1, -1, 1, -3, 3, -6, 1, -1, 4, -27, 4, -1] number of reduced forms: 48 partition: [24, 24] ============================== d: 754 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 5, 1, 1, 1, 1, 5, 2, 54] Pell solution, x^2- 754 y^2= -1 : [20457, 745] ---------- 18 cycle: [[27, 10, -27], [-27, 44, 10], [10, 36, -43], [-43, 50, 3], [3, 52, -26], [-26, 52, 3], [3, 50, -43], [-43, 36, 10], [10, 44, -27], [-27, 10, 27], [27, 44, -10], [-10, 36, 43], [43, 50, -3], [-3, 52, 26], [26, 52, -3], [-3, 50, 43], [43, 36, -10], [-10, 44, 27]] (m)c.f.e: [-1, 4, -1, 17, -2, 17, -1, 4, -1, 1, -4, 1, -17, 2, -17, 1, -4, 1] 18 cycle: [[23, 16, -30], [-30, 44, 9], [9, 46, -25], [-25, 54, 1], [1, 54, -25], [-25, 46, 9], [9, 44, -30], [-30, 16, 23], [23, 30, -23], [-23, 16, 30], [30, 44, -9], [-9, 46, 25], [25, 54, -1], [-1, 54, 25], [25, 46, -9], [-9, 44, 30], [30, 16, -23], [-23, 30, 23]] (m)c.f.e: [-1, 5, -2, 54, -2, 5, -1, 1, -1, 1, -5, 2, -54, 2, -5, 1, -1, 1] 22 cycle: [[15, 26, -39], [-39, 52, 2], [2, 52, -39], [-39, 26, 15], [15, 34, -31], [-31, 28, 18], [18, 44, -15], [-15, 46, 15], [15, 44, -18], [-18, 28, 31], [31, 34, -15], [-15, 26, 39], [39, 52, -2], [-2, 52, 39], [39, 26, -15], [-15, 34, 31], [31, 28, -18], [-18, 44, 15], [15, 46, -15], [-15, 44, 18], [18, 28, -31], [-31, 34, 15]] (m)c.f.e: [-1, 26, -1, 2, -1, 2, -3, 3, -2, 1, -2, 1, -26, 1, -2, 1, -2, 3, -3, 2, -1, 2] 14 cycle: [[6, 44, -45], [-45, 46, 5], [5, 54, -5], [-5, 46, 45], [45, 44, -6], [-6, 52, 13], [13, 52, -6], [-6, 44, 45], [45, 46, -5], [-5, 54, 5], [5, 46, -45], [-45, 44, 6], [6, 52, -13], [-13, 52, 6]] (m)c.f.e: [-1, 10, -10, 1, -8, 4, -8, 1, -10, 10, -1, 8, -4, 8] number of reduced forms: 72 partition: [14, 18, 18, 22] ============================== d: 755 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 10, 2, 54] Pell solution, x^2- 755 y^2= 1 : [1209, 44] ---------- 4 cycle: [[5, 50, -26], [-26, 54, 1], [1, 54, -26], [-26, 50, 5]] (m)c.f.e: [-2, 54, -2, 10] 4 cycle: [[-5, 50, 26], [26, 54, -1], [-1, 54, 26], [26, 50, -5]] (m)c.f.e: [2, -54, 2, -10] 4 cycle: [[10, 50, -13], [-13, 54, 2], [2, 54, -13], [-13, 50, 10]] (m)c.f.e: [-4, 27, -4, 5] 4 cycle: [[-10, 50, 13], [13, 54, -2], [-2, 54, 13], [13, 50, -10]] (m)c.f.e: [4, -27, 4, -5] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 757 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 17, 1, 5, 5, 1, 17, 1, 1, 54] Pell solution, x^2- 757 y^2= -1 : [1369326, 49769] ---------- 26 cycle: [[13, 9, -13], [-13, 17, 9], [9, 19, -11], [-11, 25, 3], [3, 23, -19], [-19, 15, 7], [7, 27, -1], [-1, 27, 7], [7, 15, -19], [-19, 23, 3], [3, 25, -11], [-11, 19, 9], [9, 17, -13], [-13, 9, 13], [13, 17, -9], [-9, 19, 11], [11, 25, -3], [-3, 23, 19], [19, 15, -7], [-7, 27, 1], [1, 27, -7], [-7, 15, 19], [19, 23, -3], [-3, 25, 11], [11, 19, -9], [-9, 17, 13]] (m)c.f.e: [-1, 2, -2, 8, -1, 3, -27, 3, -1, 8, -2, 2, -1, 1, -2, 2, -8, 1, -3, 27, -3, 1, -8, 2, -2, 1] number of reduced forms: 26 partition: [26] ============================== d: 758 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 7, 2, 1, 3, 3, 1, 26, 1, 3, 3, 1, 2, 7, 1, 1, 54] Pell solution, x^2- 758 y^2= 1 : [413959717, 15035694] ---------- 18 cycle: [[26, 4, -29], [-29, 54, 1], [1, 54, -29], [-29, 4, 26], [26, 48, -7], [-7, 50, 19], [19, 26, -31], [-31, 36, 14], [14, 48, -13], [-13, 30, 41], [41, 52, -2], [-2, 52, 41], [41, 30, -13], [-13, 48, 14], [14, 36, -31], [-31, 26, 19], [19, 50, -7], [-7, 48, 26]] (m)c.f.e: [-1, 54, -1, 1, -7, 2, -1, 3, -3, 1, -26, 1, -3, 3, -1, 2, -7, 1] 18 cycle: [[-26, 4, 29], [29, 54, -1], [-1, 54, 29], [29, 4, -26], [-26, 48, 7], [7, 50, -19], [-19, 26, 31], [31, 36, -14], [-14, 48, 13], [13, 30, -41], [-41, 52, 2], [2, 52, -41], [-41, 30, 13], [13, 48, -14], [-14, 36, 31], [31, 26, -19], [-19, 50, 7], [7, 48, -26]] (m)c.f.e: [1, -54, 1, -1, 7, -2, 1, -3, 3, -1, 26, -1, 3, -3, 1, -2, 7, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 759 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 4, 1, 1, 54] Pell solution, x^2- 759 y^2= 1 : [551, 20] ---------- 6 cycle: [[25, 6, -30], [-30, 54, 1], [1, 54, -30], [-30, 6, 25], [25, 44, -11], [-11, 44, 25]] (m)c.f.e: [-1, 54, -1, 1, -4, 1] 6 cycle: [[-25, 6, 30], [30, 54, -1], [-1, 54, 30], [30, 6, -25], [-25, 44, 11], [11, 44, -25]] (m)c.f.e: [1, -54, 1, -1, 4, -1] 6 cycle: [[22, 22, -29], [-29, 36, 15], [15, 54, -2], [-2, 54, 15], [15, 36, -29], [-29, 22, 22]] (m)c.f.e: [-1, 3, -27, 3, -1, 1] 6 cycle: [[-22, 22, 29], [29, 36, -15], [-15, 54, 2], [2, 54, -15], [-15, 36, 29], [29, 22, -22]] (m)c.f.e: [1, -3, 27, -3, 1, -1] 4 cycle: [[5, 46, -46], [-46, 46, 5], [5, 54, -6], [-6, 54, 5]] (m)c.f.e: [-1, 10, -9, 10] 4 cycle: [[-5, 46, 46], [46, 46, -5], [-5, 54, 6], [6, 54, -5]] (m)c.f.e: [1, -10, 9, -10] 4 cycle: [[10, 46, -23], [-23, 46, 10], [10, 54, -3], [-3, 54, 10]] (m)c.f.e: [-2, 5, -18, 5] 4 cycle: [[-10, 46, 23], [23, 46, -10], [-10, 54, 3], [3, 54, -10]] (m)c.f.e: [2, -5, 18, -5] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 761 number of cycles (narrow class number): 3 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 2, 1, 1, 54] Pell solution, x^2- 761 y^2= -1 : [800, 29] ---------- 14 cycle: [[10, 9, -17], [-17, 25, 2], [2, 27, -4], [-4, 21, 20], [20, 19, -5], [-5, 21, 16], [16, 11, -10], [-10, 9, 17], [17, 25, -2], [-2, 27, 4], [4, 21, -20], [-20, 19, 5], [5, 21, -16], [-16, 11, 10]] (m)c.f.e: [-1, 13, -6, 1, -4, 1, -1, 1, -13, 6, -1, 4, -1, 1] 14 cycle: [[17, 9, -10], [-10, 11, 16], [16, 21, -5], [-5, 19, 20], [20, 21, -4], [-4, 27, 2], [2, 25, -17], [-17, 9, 10], [10, 11, -16], [-16, 21, 5], [5, 19, -20], [-20, 21, 4], [4, 27, -2], [-2, 25, 17]] (m)c.f.e: [-1, 1, -4, 1, -6, 13, -1, 1, -1, 4, -1, 6, -13, 1] 10 cycle: [[10, 19, -10], [-10, 21, 8], [8, 27, -1], [-1, 27, 8], [8, 21, -10], [-10, 19, 10], [10, 21, -8], [-8, 27, 1], [1, 27, -8], [-8, 21, 10]] (m)c.f.e: [-2, 3, -27, 3, -2, 2, -3, 27, -3, 2] number of reduced forms: 38 partition: [10, 14, 14] ============================== d: 762 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 8, 1, 1, 1, 1, 54] Pell solution, x^2- 762 y^2= 1 : [6349, 230] ---------- 10 cycle: [[22, 12, -33], [-33, 54, 1], [1, 54, -33], [-33, 12, 22], [22, 32, -23], [-23, 14, 31], [31, 48, -6], [-6, 48, 31], [31, 14, -23], [-23, 32, 22]] (m)c.f.e: [-1, 54, -1, 1, -1, 1, -8, 1, -1, 1] 10 cycle: [[-22, 12, 33], [33, 54, -1], [-1, 54, 33], [33, 12, -22], [-22, 32, 23], [23, 14, -31], [-31, 48, 6], [6, 48, -31], [-31, 14, 23], [23, 32, -22]] (m)c.f.e: [1, -54, 1, -1, 1, -1, 8, -1, 1, -1] 6 cycle: [[11, 34, -43], [-43, 52, 2], [2, 52, -43], [-43, 34, 11], [11, 54, -3], [-3, 54, 11]] (m)c.f.e: [-1, 26, -1, 4, -18, 4] 6 cycle: [[-11, 34, 43], [43, 52, -2], [-2, 52, 43], [43, 34, -11], [-11, 54, 3], [3, 54, -11]] (m)c.f.e: [1, -26, 1, -4, 18, -4] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 763 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 1, 5, 1, 1, 17, 1, 6, 1, 17, 1, 1, 5, 1, 1, 1, 1, 1, 54] Pell solution, x^2- 763 y^2= 1 : [719724601, 26055780] ---------- 22 cycle: [[26, 6, -29], [-29, 52, 3], [3, 50, -46], [-46, 42, 7], [7, 42, -46], [-46, 50, 3], [3, 52, -29], [-29, 6, 26], [26, 46, -9], [-9, 44, 31], [31, 18, -22], [-22, 26, 27], [27, 28, -21], [-21, 14, 34], [34, 54, -1], [-1, 54, 34], [34, 14, -21], [-21, 28, 27], [27, 26, -22], [-22, 18, 31], [31, 44, -9], [-9, 46, 26]] (m)c.f.e: [-1, 17, -1, 6, -1, 17, -1, 1, -5, 1, -1, 1, -1, 1, -54, 1, -1, 1, -1, 1, -5, 1] 22 cycle: [[-26, 6, 29], [29, 52, -3], [-3, 50, 46], [46, 42, -7], [-7, 42, 46], [46, 50, -3], [-3, 52, 29], [29, 6, -26], [-26, 46, 9], [9, 44, -31], [-31, 18, 22], [22, 26, -27], [-27, 28, 21], [21, 14, -34], [-34, 54, 1], [1, 54, -34], [-34, 14, 21], [21, 28, -27], [-27, 26, 22], [22, 18, -31], [-31, 44, 9], [9, 46, -26]] (m)c.f.e: [1, -17, 1, -6, 1, -17, 1, -1, 5, -1, 1, -1, 1, -1, 54, -1, 1, -1, 1, -1, 5, -1] 18 cycle: [[18, 26, -33], [-33, 40, 11], [11, 48, -17], [-17, 54, 2], [2, 54, -17], [-17, 48, 11], [11, 40, -33], [-33, 26, 18], [18, 46, -13], [-13, 32, 39], [39, 46, -6], [-6, 50, 23], [23, 42, -14], [-14, 42, 23], [23, 50, -6], [-6, 46, 39], [39, 32, -13], [-13, 46, 18]] (m)c.f.e: [-1, 4, -3, 27, -3, 4, -1, 2, -3, 1, -8, 2, -3, 2, -8, 1, -3, 2] 18 cycle: [[-18, 26, 33], [33, 40, -11], [-11, 48, 17], [17, 54, -2], [-2, 54, 17], [17, 48, -11], [-11, 40, 33], [33, 26, -18], [-18, 46, 13], [13, 32, -39], [-39, 46, 6], [6, 50, -23], [-23, 42, 14], [14, 42, -23], [-23, 50, 6], [6, 46, -39], [-39, 32, 13], [13, 46, -18]] (m)c.f.e: [1, -4, 3, -27, 3, -4, 1, -2, 3, -1, 8, -2, 3, -2, 8, -1, 3, -2] number of reduced forms: 80 partition: [18, 18, 22, 22] ============================== d: 766 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 10, 1, 2, 1, 3, 1, 1, 17, 1, 8, 3, 1, 1, 2, 1, 2, 5, 5, 1, 26, 1, 5, 5, 2, 1, 2, 1, 1, 3, 8, 1, 17, 1, 1, 3, 1, 2, 1, 10, 2, 1, 54] Pell solution, x^2- 766 y^2= 1 : [145933611945744638015, 5272795728865625208] ---------- 44 cycle: [[25, 8, -30], [-30, 52, 3], [3, 50, -47], [-47, 44, 6], [6, 52, -15], [-15, 38, 27], [27, 16, -26], [-26, 36, 17], [17, 32, -30], [-30, 28, 19], [19, 48, -10], [-10, 52, 9], [9, 38, -45], [-45, 52, 2], [2, 52, -45], [-45, 38, 9], [9, 52, -10], [-10, 48, 19], [19, 28, -30], [-30, 32, 17], [17, 36, -26], [-26, 16, 27], [27, 38, -15], [-15, 52, 6], [6, 44, -47], [-47, 50, 3], [3, 52, -30], [-30, 8, 25], [25, 42, -13], [-13, 36, 34], [34, 32, -15], [-15, 28, 38], [38, 48, -5], [-5, 52, 18], [18, 20, -37], [-37, 54, 1], [1, 54, -37], [-37, 20, 18], [18, 52, -5], [-5, 48, 38], [38, 28, -15], [-15, 32, 34], [34, 36, -13], [-13, 42, 25]] (m)c.f.e: [-1, 17, -1, 8, -3, 1, -1, 2, -1, 2, -5, 5, -1, 26, -1, 5, -5, 2, -1, 2, -1, 1, -3, 8, -1, 17, -1, 1, -3, 1, -2, 1, -10, 2, -1, 54, -1, 2, -10, 1, -2, 1, -3, 1] 44 cycle: [[-25, 8, 30], [30, 52, -3], [-3, 50, 47], [47, 44, -6], [-6, 52, 15], [15, 38, -27], [-27, 16, 26], [26, 36, -17], [-17, 32, 30], [30, 28, -19], [-19, 48, 10], [10, 52, -9], [-9, 38, 45], [45, 52, -2], [-2, 52, 45], [45, 38, -9], [-9, 52, 10], [10, 48, -19], [-19, 28, 30], [30, 32, -17], [-17, 36, 26], [26, 16, -27], [-27, 38, 15], [15, 52, -6], [-6, 44, 47], [47, 50, -3], [-3, 52, 30], [30, 8, -25], [-25, 42, 13], [13, 36, -34], [-34, 32, 15], [15, 28, -38], [-38, 48, 5], [5, 52, -18], [-18, 20, 37], [37, 54, -1], [-1, 54, 37], [37, 20, -18], [-18, 52, 5], [5, 48, -38], [-38, 28, 15], [15, 32, -34], [-34, 36, 13], [13, 42, -25]] (m)c.f.e: [1, -17, 1, -8, 3, -1, 1, -2, 1, -2, 5, -5, 1, -26, 1, -5, 5, -2, 1, -2, 1, -1, 3, -8, 1, -17, 1, -1, 3, -1, 2, -1, 10, -2, 1, -54, 1, -2, 10, -1, 2, -1, 3, -1] number of reduced forms: 88 partition: [44, 44] ============================== d: 767 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 3, 1, 1, 1, 1, 1, 3, 2, 1, 54] Pell solution, x^2- 767 y^2= 1 : [31212, 1127] ---------- 12 cycle: [[23, 20, -29], [-29, 38, 14], [14, 46, -17], [-17, 22, 38], [38, 54, -1], [-1, 54, 38], [38, 22, -17], [-17, 46, 14], [14, 38, -29], [-29, 20, 23], [23, 26, -26], [-26, 26, 23]] (m)c.f.e: [-1, 3, -2, 1, -54, 1, -2, 3, -1, 1, -1, 1] 12 cycle: [[-23, 20, 29], [29, 38, -14], [-14, 46, 17], [17, 22, -38], [-38, 54, 1], [1, 54, -38], [-38, 22, 17], [17, 46, -14], [-14, 38, 29], [29, 20, -23], [-23, 26, 26], [26, 26, -23]] (m)c.f.e: [1, -3, 2, -1, 54, -1, 2, -3, 1, -1, 1, -1] 8 cycle: [[19, 22, -34], [-34, 46, 7], [7, 52, -13], [-13, 52, 7], [7, 46, -34], [-34, 22, 19], [19, 54, -2], [-2, 54, 19]] (m)c.f.e: [-1, 7, -4, 7, -1, 2, -27, 2] 8 cycle: [[-19, 22, 34], [34, 46, -7], [-7, 52, 13], [13, 52, -7], [-7, 46, 34], [34, 22, -19], [-19, 54, 2], [2, 54, -19]] (m)c.f.e: [1, -7, 4, -7, 1, -2, 27, -2] number of reduced forms: 40 partition: [8, 8, 12, 12] ============================== d: 769 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 2, 1, 1, 17, 1, 10, 6, 1, 5, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 5, 1, 6, 10, 1, 17, 1, 1, 2, 1, 2, 1, 54] Pell solution, x^2- 769 y^2= -1 : [16367374077549540, 590222604844777] ---------- 70 cycle: [[12, 7, -15], [-15, 23, 4], [4, 25, -9], [-9, 11, 18], [18, 25, -2], [-2, 27, 5], [5, 23, -12], [-12, 25, 3], [3, 23, -20], [-20, 17, 6], [6, 19, -17], [-17, 15, 8], [8, 17, -15], [-15, 13, 10], [10, 27, -1], [-1, 27, 10], [10, 13, -15], [-15, 17, 8], [8, 15, -17], [-17, 19, 6], [6, 17, -20], [-20, 23, 3], [3, 25, -12], [-12, 23, 5], [5, 27, -2], [-2, 25, 18], [18, 11, -9], [-9, 25, 4], [4, 23, -15], [-15, 7, 12], [12, 17, -10], [-10, 23, 6], [6, 25, -6], [-6, 23, 10], [10, 17, -12], [-12, 7, 15], [15, 23, -4], [-4, 25, 9], [9, 11, -18], [-18, 25, 2], [2, 27, -5], [-5, 23, 12], [12, 25, -3], [-3, 23, 20], [20, 17, -6], [-6, 19, 17], [17, 15, -8], [-8, 17, 15], [15, 13, -10], [-10, 27, 1], [1, 27, -10], [-10, 13, 15], [15, 17, -8], [-8, 15, 17], [17, 19, -6], [-6, 17, 20], [20, 23, -3], [-3, 25, 12], [12, 23, -5], [-5, 27, 2], [2, 25, -18], [-18, 11, 9], [9, 25, -4], [-4, 23, 15], [15, 7, -12], [-12, 17, 10], [10, 23, -6], [-6, 25, 6], [6, 23, -10], [-10, 17, 12]] (m)c.f.e: [-1, 6, -2, 1, -13, 5, -2, 8, -1, 3, -1, 2, -1, 2, -27, 2, -1, 2, -1, 3, -1, 8, -2, 5, -13, 1, -2, 6, -1, 1, -2, 4, -4, 2, -1, 1, -6, 2, -1, 13, -5, 2, -8, 1, -3, 1, -2, 1, -2, 27, -2, 1, -2, 1, -3, 1, -8, 2, -5, 13, -1, 2, -6, 1, -1, 2, -4, 4, -2, 1] number of reduced forms: 70 partition: [70] ============================== d: 770 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 54] Pell solution, x^2- 770 y^2= 1 : [111, 4] ---------- 6 cycle: [[26, 8, -29], [-29, 50, 5], [5, 50, -29], [-29, 8, 26], [26, 44, -11], [-11, 44, 26]] (m)c.f.e: [-1, 10, -1, 1, -4, 1] 6 cycle: [[-26, 8, 29], [29, 50, -5], [-5, 50, 29], [29, 8, -26], [-26, 44, 11], [11, 44, -26]] (m)c.f.e: [1, -10, 1, -1, 4, -1] 4 cycle: [[14, 28, -41], [-41, 54, 1], [1, 54, -41], [-41, 28, 14]] (m)c.f.e: [-1, 54, -1, 2] 4 cycle: [[-14, 28, 41], [41, 54, -1], [-1, 54, 41], [41, 28, -14]] (m)c.f.e: [1, -54, 1, -2] 6 cycle: [[13, 34, -37], [-37, 40, 10], [10, 40, -37], [-37, 34, 13], [13, 44, -22], [-22, 44, 13]] (m)c.f.e: [-1, 4, -1, 3, -2, 3] 6 cycle: [[-13, 34, 37], [37, 40, -10], [-10, 40, 37], [37, 34, -13], [-13, 44, 22], [22, 44, -13]] (m)c.f.e: [1, -4, 1, -3, 2, -3] 4 cycle: [[7, 42, -47], [-47, 52, 2], [2, 52, -47], [-47, 42, 7]] (m)c.f.e: [-1, 26, -1, 6] 4 cycle: [[-7, 42, 47], [47, 52, -2], [-2, 52, 47], [47, 42, -7]] (m)c.f.e: [1, -26, 1, -6] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 771 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 3, 2, 4, 1, 1, 1, 1, 2, 27, 2, 1, 1, 1, 1, 4, 2, 3, 3, 1, 54] Pell solution, x^2- 771 y^2= 1 : [2989136930, 107651137] ---------- 22 cycle: [[23, 18, -30], [-30, 42, 11], [11, 46, -22], [-22, 42, 15], [15, 48, -13], [-13, 30, 42], [42, 54, -1], [-1, 54, 42], [42, 30, -13], [-13, 48, 15], [15, 42, -22], [-22, 46, 11], [11, 42, -30], [-30, 18, 23], [23, 28, -25], [-25, 22, 26], [26, 30, -21], [-21, 54, 2], [2, 54, -21], [-21, 30, 26], [26, 22, -25], [-25, 28, 23]] (m)c.f.e: [-1, 4, -2, 3, -3, 1, -54, 1, -3, 3, -2, 4, -1, 1, -1, 1, -2, 27, -2, 1, -1, 1] 22 cycle: [[-23, 18, 30], [30, 42, -11], [-11, 46, 22], [22, 42, -15], [-15, 48, 13], [13, 30, -42], [-42, 54, 1], [1, 54, -42], [-42, 30, 13], [13, 48, -15], [-15, 42, 22], [22, 46, -11], [-11, 42, 30], [30, 18, -23], [-23, 28, 25], [25, 22, -26], [-26, 30, 21], [21, 54, -2], [-2, 54, 21], [21, 30, -26], [-26, 22, 25], [25, 28, -23]] (m)c.f.e: [1, -4, 2, -3, 3, -1, 54, -1, 3, -3, 2, -4, 1, -1, 1, -1, 2, -27, 2, -1, 1, -1] 18 cycle: [[19, 24, -33], [-33, 42, 10], [10, 38, -41], [-41, 44, 7], [7, 54, -6], [-6, 54, 7], [7, 44, -41], [-41, 38, 10], [10, 42, -33], [-33, 24, 19], [19, 52, -5], [-5, 48, 39], [39, 30, -14], [-14, 54, 3], [3, 54, -14], [-14, 30, 39], [39, 48, -5], [-5, 52, 19]] (m)c.f.e: [-1, 4, -1, 7, -9, 7, -1, 4, -1, 2, -10, 1, -3, 18, -3, 1, -10, 2] 18 cycle: [[-19, 24, 33], [33, 42, -10], [-10, 38, 41], [41, 44, -7], [-7, 54, 6], [6, 54, -7], [-7, 44, 41], [41, 38, -10], [-10, 42, 33], [33, 24, -19], [-19, 52, 5], [5, 48, -39], [-39, 30, 14], [14, 54, -3], [-3, 54, 14], [14, 30, -39], [-39, 48, 5], [5, 52, -19]] (m)c.f.e: [1, -4, 1, -7, 9, -7, 1, -4, 1, -2, 10, -1, 3, -18, 3, -1, 10, -2] number of reduced forms: 80 partition: [18, 18, 22, 22] ============================== d: 773 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 13, 1, 2, 2, 1, 13, 4, 1, 54] Pell solution, x^2- 773 y^2= -1 : [1343018, 48305] ---------- 6 cycle: [[11, 17, -11], [-11, 27, 1], [1, 27, -11], [-11, 17, 11], [11, 27, -1], [-1, 27, 11]] (m)c.f.e: [-2, 27, -2, 2, -27, 2] number of reduced forms: 6 partition: [6] ============================== d: 777 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 54] Pell solution, x^2- 777 y^2= 1 : [223, 8] ---------- 6 cycle: [[13, 7, -14], [-14, 21, 6], [6, 27, -2], [-2, 25, 19], [19, 13, -8], [-8, 19, 13]] (m)c.f.e: [-1, 4, -13, 1, -2, 1] 6 cycle: [[-13, 7, 14], [14, 21, -6], [-6, 27, 2], [2, 25, -19], [-19, 13, 8], [8, 19, -13]] (m)c.f.e: [1, -4, 13, -1, 2, -1] 6 cycle: [[14, 7, -13], [-13, 19, 8], [8, 13, -19], [-19, 25, 2], [2, 27, -6], [-6, 21, 14]] (m)c.f.e: [-1, 2, -1, 13, -4, 1] 6 cycle: [[-14, 7, 13], [13, 19, -8], [-8, 13, 19], [19, 25, -2], [-2, 27, 6], [6, 21, -14]] (m)c.f.e: [1, -2, 1, -13, 4, -1] 4 cycle: [[4, 21, -21], [-21, 21, 4], [4, 27, -3], [-3, 27, 4]] (m)c.f.e: [-1, 6, -9, 6] 4 cycle: [[-4, 21, 21], [21, 21, -4], [-4, 27, 3], [3, 27, -4]] (m)c.f.e: [1, -6, 9, -6] 4 cycle: [[7, 21, -12], [-12, 27, 1], [1, 27, -12], [-12, 21, 7]] (m)c.f.e: [-2, 27, -2, 3] 4 cycle: [[-7, 21, 12], [12, 27, -1], [-1, 27, 12], [12, 21, -7]] (m)c.f.e: [2, -27, 2, -3] number of reduced forms: 40 partition: [4, 4, 4, 4, 6, 6, 6, 6] ============================== d: 778 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 3, 5, 1, 7, 7, 1, 5, 3, 8, 1, 54] Pell solution, x^2- 778 y^2= -1 : [54610269, 1957873] ---------- 38 cycle: [[27, 14, -27], [-27, 40, 14], [14, 44, -21], [-21, 40, 18], [18, 32, -29], [-29, 26, 21], [21, 16, -34], [-34, 52, 3], [3, 50, -51], [-51, 52, 2], [2, 52, -51], [-51, 50, 3], [3, 52, -34], [-34, 16, 21], [21, 26, -29], [-29, 32, 18], [18, 40, -21], [-21, 44, 14], [14, 40, -27], [-27, 14, 27], [27, 40, -14], [-14, 44, 21], [21, 40, -18], [-18, 32, 29], [29, 26, -21], [-21, 16, 34], [34, 52, -3], [-3, 50, 51], [51, 52, -2], [-2, 52, 51], [51, 50, -3], [-3, 52, 34], [34, 16, -21], [-21, 26, 29], [29, 32, -18], [-18, 40, 21], [21, 44, -14], [-14, 40, 27]] (m)c.f.e: [-1, 3, -2, 2, -1, 1, -1, 17, -1, 26, -1, 17, -1, 1, -1, 2, -2, 3, -1, 1, -3, 2, -2, 1, -1, 1, -17, 1, -26, 1, -17, 1, -1, 1, -2, 2, -3, 1] 26 cycle: [[9, 40, -42], [-42, 44, 7], [7, 54, -7], [-7, 44, 42], [42, 40, -9], [-9, 50, 17], [17, 52, -6], [-6, 44, 49], [49, 54, -1], [-1, 54, 49], [49, 44, -6], [-6, 52, 17], [17, 50, -9], [-9, 40, 42], [42, 44, -7], [-7, 54, 7], [7, 44, -42], [-42, 40, 9], [9, 50, -17], [-17, 52, 6], [6, 44, -49], [-49, 54, 1], [1, 54, -49], [-49, 44, 6], [6, 52, -17], [-17, 50, 9]] (m)c.f.e: [-1, 7, -7, 1, -5, 3, -8, 1, -54, 1, -8, 3, -5, 1, -7, 7, -1, 5, -3, 8, -1, 54, -1, 8, -3, 5] number of reduced forms: 64 partition: [26, 38] ============================== d: 779 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 10, 5, 2, 27, 2, 5, 10, 1, 54] Pell solution, x^2- 779 y^2= 1 : [11785490, 422259] ---------- 18 cycle: [[26, 10, -29], [-29, 48, 7], [7, 50, -22], [-22, 38, 19], [19, 38, -22], [-22, 50, 7], [7, 48, -29], [-29, 10, 26], [26, 42, -13], [-13, 36, 35], [35, 34, -14], [-14, 50, 11], [11, 38, -38], [-38, 38, 11], [11, 50, -14], [-14, 34, 35], [35, 36, -13], [-13, 42, 26]] (m)c.f.e: [-1, 7, -2, 2, -2, 7, -1, 1, -3, 1, -3, 4, -1, 4, -3, 1, -3, 1] 18 cycle: [[-26, 10, 29], [29, 48, -7], [-7, 50, 22], [22, 38, -19], [-19, 38, 22], [22, 50, -7], [-7, 48, 29], [29, 10, -26], [-26, 42, 13], [13, 36, -35], [-35, 34, 14], [14, 50, -11], [-11, 38, 38], [38, 38, -11], [-11, 50, 14], [14, 34, -35], [-35, 36, 13], [13, 42, -26]] (m)c.f.e: [1, -7, 2, -2, 2, -7, 1, -1, 3, -1, 3, -4, 1, -4, 3, -1, 3, -1] 10 cycle: [[5, 46, -50], [-50, 54, 1], [1, 54, -50], [-50, 46, 5], [5, 54, -10], [-10, 46, 25], [25, 54, -2], [-2, 54, 25], [25, 46, -10], [-10, 54, 5]] (m)c.f.e: [-1, 54, -1, 10, -5, 2, -27, 2, -5, 10] 10 cycle: [[-5, 46, 50], [50, 54, -1], [-1, 54, 50], [50, 46, -5], [-5, 54, 10], [10, 46, -25], [-25, 54, 2], [2, 54, -25], [-25, 46, 10], [10, 54, -5]] (m)c.f.e: [1, -54, 1, -10, 5, -2, 27, -2, 5, -10] number of reduced forms: 56 partition: [10, 10, 18, 18] ============================== d: 781 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 17, 1, 1, 1, 5, 1, 1, 4, 1, 1, 5, 1, 1, 1, 17, 1, 54] Pell solution, x^2- 781 y^2= 1 : [67606199, 2419140] ---------- 18 cycle: [[11, 11, -15], [-15, 19, 7], [7, 23, -9], [-9, 13, 17], [17, 21, -5], [-5, 19, 21], [21, 23, -3], [-3, 25, 13], [13, 27, -1], [-1, 27, 13], [13, 25, -3], [-3, 23, 21], [21, 19, -5], [-5, 21, 17], [17, 13, -9], [-9, 23, 7], [7, 19, -15], [-15, 11, 11]] (m)c.f.e: [-1, 3, -2, 1, -4, 1, -8, 2, -27, 2, -8, 1, -4, 1, -2, 3, -1, 1] 18 cycle: [[-11, 11, 15], [15, 19, -7], [-7, 23, 9], [9, 13, -17], [-17, 21, 5], [5, 19, -21], [-21, 23, 3], [3, 25, -13], [-13, 27, 1], [1, 27, -13], [-13, 25, 3], [3, 23, -21], [-21, 19, 5], [5, 21, -17], [-17, 13, 9], [9, 23, -7], [-7, 19, 15], [15, 11, -11]] (m)c.f.e: [1, -3, 2, -1, 4, -1, 8, -2, 27, -2, 8, -1, 4, -1, 2, -3, 1, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 782 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 26, 1, 54] Pell solution, x^2- 782 y^2= 1 : [783, 28] ---------- 10 cycle: [[22, 20, -31], [-31, 42, 11], [11, 46, -23], [-23, 46, 11], [11, 42, -31], [-31, 20, 22], [22, 24, -29], [-29, 34, 17], [17, 34, -29], [-29, 24, 22]] (m)c.f.e: [-1, 4, -2, 4, -1, 1, -1, 2, -1, 1] 10 cycle: [[-22, 20, 31], [31, 42, -11], [-11, 46, 23], [23, 46, -11], [-11, 42, 31], [31, 20, -22], [-22, 24, 29], [29, 34, -17], [-17, 34, 29], [29, 24, -22]] (m)c.f.e: [1, -4, 2, -4, 1, -1, 1, -2, 1, -1] 4 cycle: [[2, 52, -53], [-53, 54, 1], [1, 54, -53], [-53, 52, 2]] (m)c.f.e: [-1, 54, -1, 26] 4 cycle: [[-2, 52, 53], [53, 54, -1], [-1, 54, 53], [53, 52, -2]] (m)c.f.e: [1, -54, 1, -26] number of reduced forms: 28 partition: [4, 4, 10, 10] ============================== d: 785 number of cycles (narrow class number): 6 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [56] Pell solution, x^2- 785 y^2= -1 : [28, 1] ---------- 6 cycle: [[14, 1, -14], [-14, 27, 1], [1, 27, -14], [-14, 1, 14], [14, 27, -1], [-1, 27, 14]] (m)c.f.e: [-1, 27, -1, 1, -27, 1] 10 cycle: [[11, 9, -16], [-16, 23, 4], [4, 25, -10], [-10, 15, 14], [14, 13, -11], [-11, 9, 16], [16, 23, -4], [-4, 25, 10], [10, 15, -14], [-14, 13, 11]] (m)c.f.e: [-1, 6, -2, 1, -1, 1, -6, 2, -1, 1] 10 cycle: [[16, 9, -11], [-11, 13, 14], [14, 15, -10], [-10, 25, 4], [4, 23, -16], [-16, 9, 11], [11, 13, -14], [-14, 15, 10], [10, 25, -4], [-4, 23, 16]] (m)c.f.e: [-1, 1, -2, 6, -1, 1, -1, 2, -6, 1] 6 cycle: [[7, 15, -20], [-20, 25, 2], [2, 27, -7], [-7, 15, 20], [20, 25, -2], [-2, 27, 7]] (m)c.f.e: [-1, 13, -3, 1, -13, 3] 6 cycle: [[20, 15, -7], [-7, 27, 2], [2, 25, -20], [-20, 15, 7], [7, 27, -2], [-2, 25, 20]] (m)c.f.e: [-3, 13, -1, 3, -13, 1] 6 cycle: [[8, 23, -8], [-8, 25, 5], [5, 25, -8], [-8, 23, 8], [8, 25, -5], [-5, 25, 8]] (m)c.f.e: [-3, 5, -3, 3, -5, 3] number of reduced forms: 44 partition: [6, 6, 6, 6, 10, 10] ============================== d: 786 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [28, 56] Pell solution, x^2- 786 y^2= 1 : [785, 28] ---------- 8 cycle: [[25, 12, -30], [-30, 48, 7], [7, 50, -23], [-23, 42, 15], [15, 48, -14], [-14, 36, 33], [33, 30, -17], [-17, 38, 25]] (m)c.f.e: [-1, 7, -2, 3, -3, 1, -2, 1] 8 cycle: [[-25, 12, 30], [30, 48, -7], [-7, 50, 23], [23, 42, -15], [-15, 48, 14], [14, 36, -33], [-33, 30, 17], [17, 38, -25]] (m)c.f.e: [1, -7, 2, -3, 3, -1, 2, -1] 8 cycle: [[30, 12, -25], [-25, 38, 17], [17, 30, -33], [-33, 36, 14], [14, 48, -15], [-15, 42, 23], [23, 50, -7], [-7, 48, 30]] (m)c.f.e: [-1, 2, -1, 3, -3, 2, -7, 1] 8 cycle: [[-30, 12, 25], [25, 38, -17], [-17, 30, 33], [33, 36, -14], [-14, 48, 15], [15, 42, -23], [-23, 50, 7], [7, 48, -30]] (m)c.f.e: [1, -2, 1, -3, 3, -2, 7, -1] 6 cycle: [[19, 22, -35], [-35, 48, 6], [6, 48, -35], [-35, 22, 19], [19, 54, -3], [-3, 54, 19]] (m)c.f.e: [-1, 8, -1, 2, -18, 2] 6 cycle: [[-19, 22, 35], [35, 48, -6], [-6, 48, 35], [35, 22, -19], [-19, 54, 3], [3, 54, -19]] (m)c.f.e: [1, -8, 1, -2, 18, -2] 6 cycle: [[11, 36, -42], [-42, 48, 5], [5, 52, -22], [-22, 36, 21], [21, 48, -10], [-10, 52, 11]] (m)c.f.e: [-1, 10, -2, 2, -5, 4] 6 cycle: [[-11, 36, 42], [42, 48, -5], [-5, 52, 22], [22, 36, -21], [-21, 48, 10], [10, 52, -11]] (m)c.f.e: [1, -10, 2, -2, 5, -4] 6 cycle: [[21, 36, -22], [-22, 52, 5], [5, 48, -42], [-42, 36, 11], [11, 52, -10], [-10, 48, 21]] (m)c.f.e: [-2, 10, -1, 4, -5, 2] 6 cycle: [[-21, 36, 22], [22, 52, -5], [-5, 48, 42], [42, 36, -11], [-11, 52, 10], [10, 48, -21]] (m)c.f.e: [2, -10, 1, -4, 5, -2] 2 cycle: [[1, 56, -2], [-2, 56, 1]] (m)c.f.e: [-28, 56] 2 cycle: [[-1, 56, 2], [2, 56, -1]] (m)c.f.e: [28, -56] number of reduced forms: 72 partition: [2, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8] ============================== d: 787 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [18, 1, 2, 5, 1, 8, 1, 1, 27, 1, 1, 8, 1, 5, 2, 1, 18, 56] Pell solution, x^2- 787 y^2= 1 : [34625394242, 1234262007] ---------- 18 cycle: [[27, 4, -29], [-29, 54, 2], [2, 54, -29], [-29, 4, 27], [27, 50, -6], [-6, 46, 43], [43, 40, -9], [-9, 50, 18], [18, 22, -37], [-37, 52, 3], [3, 56, -1], [-1, 56, 3], [3, 52, -37], [-37, 22, 18], [18, 50, -9], [-9, 40, 43], [43, 46, -6], [-6, 50, 27]] (m)c.f.e: [-1, 27, -1, 1, -8, 1, -5, 2, -1, 18, -56, 18, -1, 2, -5, 1, -8, 1] 18 cycle: [[-27, 4, 29], [29, 54, -2], [-2, 54, 29], [29, 4, -27], [-27, 50, 6], [6, 46, -43], [-43, 40, 9], [9, 50, -18], [-18, 22, 37], [37, 52, -3], [-3, 56, 1], [1, 56, -3], [-3, 52, 37], [37, 22, -18], [-18, 50, 9], [9, 40, -43], [-43, 46, 6], [6, 50, -27]] (m)c.f.e: [1, -27, 1, -1, 8, -1, 5, -2, 1, -18, 56, -18, 1, -2, 5, -1, 8, -1] number of reduced forms: 36 partition: [18, 18] ============================== d: 789 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [11, 4, 1, 1, 2, 3, 1, 13, 3, 1, 2, 18, 2, 1, 3, 13, 1, 3, 2, 1, 1, 4, 11, 56] Pell solution, x^2- 789 y^2= 1 : [16116667272575, 573768548496] ---------- 8 cycle: [[13, 3, -15], [-15, 27, 1], [1, 27, -15], [-15, 3, 13], [13, 23, -5], [-5, 27, 3], [3, 27, -5], [-5, 23, 13]] (m)c.f.e: [-1, 27, -1, 1, -5, 9, -5, 1] 8 cycle: [[-13, 3, 15], [15, 27, -1], [-1, 27, 15], [15, 3, -13], [-13, 23, 5], [5, 27, -3], [-3, 27, 5], [5, 23, -13]] (m)c.f.e: [1, -27, 1, -1, 5, -9, 5, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 790 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [9, 2, 1, 5, 1, 1, 3, 4, 1, 4, 1, 4, 3, 1, 1, 5, 1, 2, 9, 56] Pell solution, x^2- 790 y^2= 1 : [6616066879, 235389096] ---------- 20 cycle: [[26, 12, -29], [-29, 46, 9], [9, 44, -34], [-34, 24, 19], [19, 52, -6], [-6, 56, 1], [1, 56, -6], [-6, 52, 19], [19, 24, -34], [-34, 44, 9], [9, 46, -29], [-29, 12, 26], [26, 40, -15], [-15, 50, 11], [11, 38, -39], [-39, 40, 10], [10, 40, -39], [-39, 38, 11], [11, 50, -15], [-15, 40, 26]] (m)c.f.e: [-1, 5, -1, 2, -9, 56, -9, 2, -1, 5, -1, 1, -3, 4, -1, 4, -1, 4, -3, 1] 20 cycle: [[-26, 12, 29], [29, 46, -9], [-9, 44, 34], [34, 24, -19], [-19, 52, 6], [6, 56, -1], [-1, 56, 6], [6, 52, -19], [-19, 24, 34], [34, 44, -9], [-9, 46, 29], [29, 12, -26], [-26, 40, 15], [15, 50, -11], [-11, 38, 39], [39, 40, -10], [-10, 40, 39], [39, 38, -11], [-11, 50, 15], [15, 40, -26]] (m)c.f.e: [1, -5, 1, -2, 9, -56, 9, -2, 1, -5, 1, -1, 3, -4, 1, -4, 1, -4, 3, -1] 24 cycle: [[22, 16, -33], [-33, 50, 5], [5, 50, -33], [-33, 16, 22], [22, 28, -27], [-27, 26, 23], [23, 20, -30], [-30, 40, 13], [13, 38, -33], [-33, 28, 18], [18, 44, -17], [-17, 24, 38], [38, 52, -3], [-3, 56, 2], [2, 56, -3], [-3, 52, 38], [38, 24, -17], [-17, 44, 18], [18, 28, -33], [-33, 38, 13], [13, 40, -30], [-30, 20, 23], [23, 26, -27], [-27, 28, 22]] (m)c.f.e: [-1, 10, -1, 1, -1, 1, -1, 3, -1, 2, -2, 1, -18, 28, -18, 1, -2, 2, -1, 3, -1, 1, -1, 1] 24 cycle: [[-22, 16, 33], [33, 50, -5], [-5, 50, 33], [33, 16, -22], [-22, 28, 27], [27, 26, -23], [-23, 20, 30], [30, 40, -13], [-13, 38, 33], [33, 28, -18], [-18, 44, 17], [17, 24, -38], [-38, 52, 3], [3, 56, -2], [-2, 56, 3], [3, 52, -38], [-38, 24, 17], [17, 44, -18], [-18, 28, 33], [33, 38, -13], [-13, 40, 30], [30, 20, -23], [-23, 26, 27], [27, 28, -22]] (m)c.f.e: [1, -10, 1, -1, 1, -1, 1, -3, 1, -2, 2, -1, 18, -28, 18, -1, 2, -2, 1, -3, 1, -1, 1, -1] number of reduced forms: 88 partition: [20, 20, 24, 24] ============================== d: 791 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 56] Pell solution, x^2- 791 y^2= 1 : [225, 8] ---------- 6 cycle: [[25, 8, -31], [-31, 54, 2], [2, 54, -31], [-31, 8, 25], [25, 42, -14], [-14, 42, 25]] (m)c.f.e: [-1, 27, -1, 1, -3, 1] 6 cycle: [[-25, 8, 31], [31, 54, -2], [-2, 54, 31], [31, 8, -25], [-25, 42, 14], [14, 42, -25]] (m)c.f.e: [1, -27, 1, -1, 3, -1] 6 cycle: [[17, 28, -35], [-35, 42, 10], [10, 38, -43], [-43, 48, 5], [5, 52, -23], [-23, 40, 17]] (m)c.f.e: [-1, 4, -1, 10, -2, 2] 6 cycle: [[-17, 28, 35], [35, 42, -10], [-10, 38, 43], [43, 48, -5], [-5, 52, 23], [23, 40, -17]] (m)c.f.e: [1, -4, 1, -10, 2, -2] 6 cycle: [[35, 28, -17], [-17, 40, 23], [23, 52, -5], [-5, 48, 43], [43, 38, -10], [-10, 42, 35]] (m)c.f.e: [-2, 2, -10, 1, -4, 1] 6 cycle: [[-35, 28, 17], [17, 40, -23], [-23, 52, 5], [5, 48, -43], [-43, 38, 10], [10, 42, -35]] (m)c.f.e: [2, -2, 10, -1, 4, -1] 2 cycle: [[1, 56, -7], [-7, 56, 1]] (m)c.f.e: [-8, 56] 2 cycle: [[-1, 56, 7], [7, 56, -1]] (m)c.f.e: [8, -56] number of reduced forms: 40 partition: [2, 2, 6, 6, 6, 6, 6, 6] ============================== d: 793 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 4, 6, 56] Pell solution, x^2- 793 y^2= 1 : [4393, 156] ---------- 8 cycle: [[14, 3, -14], [-14, 25, 3], [3, 23, -22], [-22, 21, 4], [4, 27, -4], [-4, 21, 22], [22, 23, -3], [-3, 25, 14]] (m)c.f.e: [-1, 8, -1, 6, -6, 1, -8, 1] 8 cycle: [[-14, 3, 14], [14, 25, -3], [-3, 23, 22], [22, 21, -4], [-4, 27, 4], [4, 21, -22], [-22, 23, 3], [3, 25, -14]] (m)c.f.e: [1, -8, 1, -6, 6, -1, 8, -1] 12 cycle: [[12, 5, -16], [-16, 27, 1], [1, 27, -16], [-16, 5, 12], [12, 19, -9], [-9, 17, 14], [14, 11, -12], [-12, 13, 13], [13, 13, -12], [-12, 11, 14], [14, 17, -9], [-9, 19, 12]] (m)c.f.e: [-1, 27, -1, 1, -2, 1, -1, 1, -1, 1, -2, 1] 12 cycle: [[-12, 5, 16], [16, 27, -1], [-1, 27, 16], [16, 5, -12], [-12, 19, 9], [9, 17, -14], [-14, 11, 12], [12, 13, -13], [-13, 13, 12], [12, 11, -14], [-14, 17, 9], [9, 19, -12]] (m)c.f.e: [1, -27, 1, -1, 2, -1, 1, -1, 1, -1, 2, -1] 8 cycle: [[6, 17, -21], [-21, 25, 2], [2, 27, -8], [-8, 21, 11], [11, 23, -6], [-6, 25, 7], [7, 17, -18], [-18, 19, 6]] (m)c.f.e: [-1, 13, -3, 2, -4, 3, -1, 3] 8 cycle: [[-6, 17, 21], [21, 25, -2], [-2, 27, 8], [8, 21, -11], [-11, 23, 6], [6, 25, -7], [-7, 17, 18], [18, 19, -6]] (m)c.f.e: [1, -13, 3, -2, 4, -3, 1, -3] 8 cycle: [[18, 17, -7], [-7, 25, 6], [6, 23, -11], [-11, 21, 8], [8, 27, -2], [-2, 25, 21], [21, 17, -6], [-6, 19, 18]] (m)c.f.e: [-3, 4, -2, 3, -13, 1, -3, 1] 8 cycle: [[-18, 17, 7], [7, 25, -6], [-6, 23, 11], [11, 21, -8], [-8, 27, 2], [2, 25, -21], [-21, 17, 6], [6, 19, -18]] (m)c.f.e: [3, -4, 2, -3, 13, -1, 3, -1] number of reduced forms: 72 partition: [8, 8, 8, 8, 8, 8, 12, 12] ============================== d: 794 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 56] Pell solution, x^2- 794 y^2= -1 : [30235, 1073] ---------- 22 cycle: [[23, 18, -31], [-31, 44, 10], [10, 56, -1], [-1, 56, 10], [10, 44, -31], [-31, 18, 23], [23, 28, -26], [-26, 24, 25], [25, 26, -25], [-25, 24, 26], [26, 28, -23], [-23, 18, 31], [31, 44, -10], [-10, 56, 1], [1, 56, -10], [-10, 44, 31], [31, 18, -23], [-23, 28, 26], [26, 24, -25], [-25, 26, 25], [25, 24, -26], [-26, 28, 23]] (m)c.f.e: [-1, 5, -56, 5, -1, 1, -1, 1, -1, 1, -1, 1, -5, 56, -5, 1, -1, 1, -1, 1, -1, 1] 10 cycle: [[13, 50, -13], [-13, 54, 5], [5, 56, -2], [-2, 56, 5], [5, 54, -13], [-13, 50, 13], [13, 54, -5], [-5, 56, 2], [2, 56, -5], [-5, 54, 13]] (m)c.f.e: [-4, 11, -28, 11, -4, 4, -11, 28, -11, 4] number of reduced forms: 32 partition: [10, 22] ============================== d: 795 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 9, 5, 56] Pell solution, x^2- 795 y^2= 1 : [6626, 235] ---------- 8 cycle: [[23, 12, -33], [-33, 54, 2], [2, 54, -33], [-33, 12, 23], [23, 34, -22], [-22, 54, 3], [3, 54, -22], [-22, 34, 23]] (m)c.f.e: [-1, 27, -1, 1, -2, 18, -2, 1] 8 cycle: [[-23, 12, 33], [33, 54, -2], [-2, 54, 33], [33, 12, -23], [-23, 34, 22], [22, 54, -3], [-3, 54, 22], [22, 34, -23]] (m)c.f.e: [1, -27, 1, -1, 2, -18, 2, -1] 12 cycle: [[21, 18, -34], [-34, 50, 5], [5, 50, -34], [-34, 18, 21], [21, 24, -31], [-31, 38, 14], [14, 46, -19], [-19, 30, 30], [30, 30, -19], [-19, 46, 14], [14, 38, -31], [-31, 24, 21]] (m)c.f.e: [-1, 10, -1, 1, -1, 3, -2, 1, -2, 3, -1, 1] 12 cycle: [[-21, 18, 34], [34, 50, -5], [-5, 50, 34], [34, 18, -21], [-21, 24, 31], [31, 38, -14], [-14, 46, 19], [19, 30, -30], [-30, 30, 19], [19, 46, -14], [-14, 38, 31], [31, 24, -21]] (m)c.f.e: [1, -10, 1, -1, 1, -3, 2, -1, 2, -3, 1, -1] 8 cycle: [[15, 30, -38], [-38, 46, 7], [7, 52, -17], [-17, 50, 10], [10, 50, -17], [-17, 52, 7], [7, 46, -38], [-38, 30, 15]] (m)c.f.e: [-1, 7, -3, 5, -3, 7, -1, 2] 8 cycle: [[-15, 30, 38], [38, 46, -7], [-7, 52, 17], [17, 50, -10], [-10, 50, 17], [17, 52, -7], [-7, 46, 38], [38, 30, -15]] (m)c.f.e: [1, -7, 3, -5, 3, -7, 1, -2] 4 cycle: [[6, 54, -11], [-11, 56, 1], [1, 56, -11], [-11, 54, 6]] (m)c.f.e: [-5, 56, -5, 9] 4 cycle: [[-6, 54, 11], [11, 56, -1], [-1, 56, 11], [11, 54, -6]] (m)c.f.e: [5, -56, 5, -9] number of reduced forms: 64 partition: [4, 4, 8, 8, 8, 8, 12, 12] ============================== d: 797 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56] Pell solution, x^2- 797 y^2= -1 : [24715982, 875485] ---------- 14 cycle: [[11, 7, -17], [-17, 27, 1], [1, 27, -17], [-17, 7, 11], [11, 15, -13], [-13, 11, 13], [13, 15, -11], [-11, 7, 17], [17, 27, -1], [-1, 27, 17], [17, 7, -11], [-11, 15, 13], [13, 11, -13], [-13, 15, 11]] (m)c.f.e: [-1, 27, -1, 1, -1, 1, -1, 1, -27, 1, -1, 1, -1, 1] number of reduced forms: 14 partition: [14] ============================== d: 798 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 56] Pell solution, x^2- 798 y^2= 1 : [113, 4] ---------- 6 cycle: [[17, 26, -37], [-37, 48, 6], [6, 48, -37], [-37, 26, 17], [17, 42, -21], [-21, 42, 17]] (m)c.f.e: [-1, 8, -1, 2, -2, 2] 6 cycle: [[-17, 26, 37], [37, 48, -6], [-6, 48, 37], [37, 26, -17], [-17, 42, 21], [21, 42, -17]] (m)c.f.e: [1, -8, 1, -2, 2, -2] 4 cycle: [[19, 38, -23], [-23, 54, 3], [3, 54, -23], [-23, 38, 19]] (m)c.f.e: [-2, 18, -2, 2] 4 cycle: [[-19, 38, 23], [23, 54, -3], [-3, 54, 23], [23, 38, -19]] (m)c.f.e: [2, -18, 2, -2] 2 cycle: [[1, 56, -14], [-14, 56, 1]] (m)c.f.e: [-4, 56] 2 cycle: [[-1, 56, 14], [14, 56, -1]] (m)c.f.e: [4, -56] 2 cycle: [[2, 56, -7], [-7, 56, 2]] (m)c.f.e: [-8, 28] 2 cycle: [[-2, 56, 7], [7, 56, -2]] (m)c.f.e: [8, -28] number of reduced forms: 28 partition: [2, 2, 2, 2, 4, 4, 6, 6] ============================== d: 799 number of cycles (narrow class number): 16 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 3, 56] Pell solution, x^2- 799 y^2= 1 : [424, 15] ---------- 6 cycle: [[27, 8, -29], [-29, 50, 6], [6, 46, -45], [-45, 44, 7], [7, 54, -10], [-10, 46, 27]] (m)c.f.e: [-1, 8, -1, 7, -5, 1] 6 cycle: [[-27, 8, 29], [29, 50, -6], [-6, 46, 45], [45, 44, -7], [-7, 54, 10], [10, 46, -27]] (m)c.f.e: [1, -8, 1, -7, 5, -1] 6 cycle: [[29, 8, -27], [-27, 46, 10], [10, 54, -7], [-7, 44, 45], [45, 46, -6], [-6, 50, 29]] (m)c.f.e: [-1, 5, -7, 1, -8, 1] 6 cycle: [[-29, 8, 27], [27, 46, -10], [-10, 54, 7], [7, 44, -45], [-45, 46, 6], [6, 50, -29]] (m)c.f.e: [1, -5, 7, -1, 8, -1] 8 cycle: [[25, 14, -30], [-30, 46, 9], [9, 44, -35], [-35, 26, 18], [18, 46, -15], [-15, 44, 21], [21, 40, -19], [-19, 36, 25]] (m)c.f.e: [-1, 5, -1, 2, -3, 2, -2, 1] 8 cycle: [[-25, 14, 30], [30, 46, -9], [-9, 44, 35], [35, 26, -18], [-18, 46, 15], [15, 44, -21], [-21, 40, 19], [19, 36, -25]] (m)c.f.e: [1, -5, 1, -2, 3, -2, 2, -1] 8 cycle: [[30, 14, -25], [-25, 36, 19], [19, 40, -21], [-21, 44, 15], [15, 46, -18], [-18, 26, 35], [35, 44, -9], [-9, 46, 30]] (m)c.f.e: [-1, 2, -2, 3, -2, 1, -5, 1] 8 cycle: [[-30, 14, 25], [25, 36, -19], [-19, 40, 21], [21, 44, -15], [-15, 46, 18], [18, 26, -35], [-35, 44, 9], [9, 46, -30]] (m)c.f.e: [1, -2, 2, -3, 2, -1, 5, -1] 8 cycle: [[21, 16, -35], [-35, 54, 2], [2, 54, -35], [-35, 16, 21], [21, 26, -30], [-30, 34, 17], [17, 34, -30], [-30, 26, 21]] (m)c.f.e: [-1, 27, -1, 1, -1, 2, -1, 1] 8 cycle: [[-21, 16, 35], [35, 54, -2], [-2, 54, 35], [35, 16, -21], [-21, 26, 30], [30, 34, -17], [-17, 34, 30], [30, 26, -21]] (m)c.f.e: [1, -27, 1, -1, 1, -2, 1, -1] 4 cycle: [[14, 30, -41], [-41, 52, 3], [3, 56, -5], [-5, 54, 14]] (m)c.f.e: [-1, 18, -11, 3] 4 cycle: [[-14, 30, 41], [41, 52, -3], [-3, 56, 5], [5, 54, -14]] (m)c.f.e: [1, -18, 11, -3] 4 cycle: [[41, 30, -14], [-14, 54, 5], [5, 56, -3], [-3, 52, 41]] (m)c.f.e: [-3, 11, -18, 1] 4 cycle: [[-41, 30, 14], [14, 54, -5], [-5, 56, 3], [3, 52, -41]] (m)c.f.e: [3, -11, 18, -1] 4 cycle: [[15, 34, -34], [-34, 34, 15], [15, 56, -1], [-1, 56, 15]] (m)c.f.e: [-1, 3, -56, 3] 4 cycle: [[-15, 34, 34], [34, 34, -15], [-15, 56, 1], [1, 56, -15]] (m)c.f.e: [1, -3, 56, -3] number of reduced forms: 96 partition: [4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8] ============================== d: 802 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 7, 1, 3, 6, 28, 6, 3, 1, 7, 3, 56] Pell solution, x^2- 802 y^2= 1 : [295496099, 10434330] ---------- 18 cycle: [[26, 20, -27], [-27, 34, 19], [19, 42, -19], [-19, 34, 27], [27, 20, -26], [-26, 32, 21], [21, 52, -6], [-6, 56, 3], [3, 52, -42], [-42, 32, 13], [13, 46, -21], [-21, 38, 21], [21, 46, -13], [-13, 32, 42], [42, 52, -3], [-3, 56, 6], [6, 52, -21], [-21, 32, 26]] (m)c.f.e: [-1, 2, -2, 1, -1, 2, -9, 18, -1, 3, -2, 2, -3, 1, -18, 9, -2, 1] 18 cycle: [[-26, 20, 27], [27, 34, -19], [-19, 42, 19], [19, 34, -27], [-27, 20, 26], [26, 32, -21], [-21, 52, 6], [6, 56, -3], [-3, 52, 42], [42, 32, -13], [-13, 46, 21], [21, 38, -21], [-21, 46, 13], [13, 32, -42], [-42, 52, 3], [3, 56, -6], [-6, 52, 21], [21, 32, -26]] (m)c.f.e: [1, -2, 2, -1, 1, -2, 9, -18, 1, -3, 2, -2, 3, -1, 18, -9, 2, -1] 12 cycle: [[14, 32, -39], [-39, 46, 7], [7, 52, -18], [-18, 56, 1], [1, 56, -18], [-18, 52, 7], [7, 46, -39], [-39, 32, 14], [14, 52, -9], [-9, 56, 2], [2, 56, -9], [-9, 52, 14]] (m)c.f.e: [-1, 7, -3, 56, -3, 7, -1, 3, -6, 28, -6, 3] 12 cycle: [[-14, 32, 39], [39, 46, -7], [-7, 52, 18], [18, 56, -1], [-1, 56, 18], [18, 52, -7], [-7, 46, 39], [39, 32, -14], [-14, 52, 9], [9, 56, -2], [-2, 56, 9], [9, 52, -14]] (m)c.f.e: [1, -7, 3, -56, 3, -7, 1, -3, 6, -28, 6, -3] number of reduced forms: 60 partition: [12, 12, 18, 18] ============================== d: 803 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 27, 1, 2, 56] Pell solution, x^2- 803 y^2= 1 : [7226, 255] ---------- 14 cycle: [[26, 14, -29], [-29, 44, 11], [11, 44, -29], [-29, 14, 26], [26, 38, -17], [-17, 30, 34], [34, 38, -13], [-13, 40, 31], [31, 22, -22], [-22, 22, 31], [31, 40, -13], [-13, 38, 34], [34, 30, -17], [-17, 38, 26]] (m)c.f.e: [-1, 4, -1, 1, -2, 1, -3, 1, -1, 1, -3, 1, -2, 1] 14 cycle: [[-26, 14, 29], [29, 44, -11], [-11, 44, 29], [29, 14, -26], [-26, 38, 17], [17, 30, -34], [-34, 38, 13], [13, 40, -31], [-31, 22, 22], [22, 22, -31], [-31, 40, 13], [13, 38, -34], [-34, 30, 17], [17, 38, -26]] (m)c.f.e: [1, -4, 1, -1, 2, -1, 3, -1, 1, -1, 3, -1, 2, -1] 6 cycle: [[19, 20, -37], [-37, 54, 2], [2, 54, -37], [-37, 20, 19], [19, 56, -1], [-1, 56, 19]] (m)c.f.e: [-1, 27, -1, 2, -56, 2] 6 cycle: [[-19, 20, 37], [37, 54, -2], [-2, 54, 37], [37, 20, -19], [-19, 56, 1], [1, 56, -19]] (m)c.f.e: [1, -27, 1, -2, 56, -2] number of reduced forms: 40 partition: [6, 6, 14, 14] ============================== d: 805 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 2, 5, 1, 13, 2, 1, 10, 1, 2, 13, 1, 5, 2, 1, 2, 56] Pell solution, x^2- 805 y^2= 1 : [1514868641, 53392104] ---------- 8 cycle: [[13, 5, -15], [-15, 25, 3], [3, 23, -23], [-23, 23, 3], [3, 25, -15], [-15, 5, 13], [13, 21, -7], [-7, 21, 13]] (m)c.f.e: [-1, 8, -1, 8, -1, 1, -3, 1] 8 cycle: [[-13, 5, 15], [15, 25, -3], [-3, 23, 23], [23, 23, -3], [-3, 25, 15], [15, 5, -13], [-13, 21, 7], [7, 21, -13]] (m)c.f.e: [1, -8, 1, -8, 1, -1, 3, -1] 6 cycle: [[9, 11, -19], [-19, 27, 1], [1, 27, -19], [-19, 11, 9], [9, 25, -5], [-5, 25, 9]] (m)c.f.e: [-1, 27, -1, 2, -5, 2] 6 cycle: [[-9, 11, 19], [19, 27, -1], [-1, 27, 19], [19, 11, -9], [-9, 25, 5], [5, 25, -9]] (m)c.f.e: [1, -27, 1, -2, 5, -2] number of reduced forms: 28 partition: [6, 6, 8, 8] ============================== d: 806 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 3, 2, 5, 4, 5, 2, 3, 1, 1, 2, 56] Pell solution, x^2- 806 y^2= 1 : [6166395, 217202] ---------- 14 cycle: [[25, 18, -29], [-29, 40, 14], [14, 44, -23], [-23, 48, 10], [10, 52, -13], [-13, 52, 10], [10, 48, -23], [-23, 44, 14], [14, 40, -29], [-29, 18, 25], [25, 32, -22], [-22, 56, 1], [1, 56, -22], [-22, 32, 25]] (m)c.f.e: [-1, 3, -2, 5, -4, 5, -2, 3, -1, 1, -2, 56, -2, 1] 14 cycle: [[-25, 18, 29], [29, 40, -14], [-14, 44, 23], [23, 48, -10], [-10, 52, 13], [13, 52, -10], [-10, 48, 23], [23, 44, -14], [-14, 40, 29], [29, 18, -25], [-25, 32, 22], [22, 56, -1], [-1, 56, 22], [22, 32, -25]] (m)c.f.e: [1, -3, 2, -5, 4, -5, 2, -3, 1, -1, 2, -56, 2, -1] 10 cycle: [[7, 44, -46], [-46, 48, 5], [5, 52, -26], [-26, 52, 5], [5, 48, -46], [-46, 44, 7], [7, 54, -11], [-11, 56, 2], [2, 56, -11], [-11, 54, 7]] (m)c.f.e: [-1, 10, -2, 10, -1, 7, -5, 28, -5, 7] 10 cycle: [[-7, 44, 46], [46, 48, -5], [-5, 52, 26], [26, 52, -5], [-5, 48, 46], [46, 44, -7], [-7, 54, 11], [11, 56, -2], [-2, 56, 11], [11, 54, -7]] (m)c.f.e: [1, -10, 2, -10, 1, -7, 5, -28, 5, -7] number of reduced forms: 48 partition: [10, 10, 14, 14] ============================== d: 807 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 4, 1, 3, 4, 9, 4, 3, 1, 4, 2, 2, 56] Pell solution, x^2- 807 y^2= 1 : [51841948, 1824923] ---------- 18 cycle: [[22, 18, -33], [-33, 48, 7], [7, 50, -26], [-26, 54, 3], [3, 54, -26], [-26, 50, 7], [7, 48, -33], [-33, 18, 22], [22, 26, -29], [-29, 32, 19], [19, 44, -17], [-17, 24, 39], [39, 54, -2], [-2, 54, 39], [39, 24, -17], [-17, 44, 19], [19, 32, -29], [-29, 26, 22]] (m)c.f.e: [-1, 7, -2, 18, -2, 7, -1, 1, -1, 2, -2, 1, -27, 1, -2, 2, -1, 1] 18 cycle: [[-22, 18, 33], [33, 48, -7], [-7, 50, 26], [26, 54, -3], [-3, 54, 26], [26, 50, -7], [-7, 48, 33], [33, 18, -22], [-22, 26, 29], [29, 32, -19], [-19, 44, 17], [17, 24, -39], [-39, 54, 2], [2, 54, -39], [-39, 24, 17], [17, 44, -19], [-19, 32, 29], [29, 26, -22]] (m)c.f.e: [1, -7, 2, -18, 2, -7, 1, -1, 1, -2, 2, -1, 27, -1, 2, -2, 1, -1] 14 cycle: [[14, 34, -37], [-37, 40, 11], [11, 48, -21], [-21, 36, 23], [23, 56, -1], [-1, 56, 23], [23, 36, -21], [-21, 48, 11], [11, 40, -37], [-37, 34, 14], [14, 50, -13], [-13, 54, 6], [6, 54, -13], [-13, 50, 14]] (m)c.f.e: [-1, 4, -2, 2, -56, 2, -2, 4, -1, 3, -4, 9, -4, 3] 14 cycle: [[-14, 34, 37], [37, 40, -11], [-11, 48, 21], [21, 36, -23], [-23, 56, 1], [1, 56, -23], [-23, 36, 21], [21, 48, -11], [-11, 40, 37], [37, 34, -14], [-14, 50, 13], [13, 54, -6], [-6, 54, 13], [13, 50, -14]] (m)c.f.e: [1, -4, 2, -2, 56, -2, 2, -4, 1, -3, 4, -9, 4, -3] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 809 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 1, 7, 2, 1, 6, 2, 3, 11, 11, 3, 2, 6, 1, 2, 7, 1, 3, 2, 56] Pell solution, x^2- 809 y^2= -1 : [433852026040, 15253424933] ---------- 54 cycle: [[14, 5, -14], [-14, 23, 5], [5, 27, -4], [-4, 21, 23], [23, 25, -2], [-2, 27, 10], [10, 13, -16], [-16, 19, 7], [7, 23, -10], [-10, 17, 13], [13, 9, -14], [-14, 19, 8], [8, 13, -20], [-20, 27, 1], [1, 27, -20], [-20, 13, 8], [8, 19, -14], [-14, 9, 13], [13, 17, -10], [-10, 23, 7], [7, 19, -16], [-16, 13, 10], [10, 27, -2], [-2, 25, 23], [23, 21, -4], [-4, 27, 5], [5, 23, -14], [-14, 5, 14], [14, 23, -5], [-5, 27, 4], [4, 21, -23], [-23, 25, 2], [2, 27, -10], [-10, 13, 16], [16, 19, -7], [-7, 23, 10], [10, 17, -13], [-13, 9, 14], [14, 19, -8], [-8, 13, 20], [20, 27, -1], [-1, 27, 20], [20, 13, -8], [-8, 19, 14], [14, 9, -13], [-13, 17, 10], [10, 23, -7], [-7, 19, 16], [16, 13, -10], [-10, 27, 2], [2, 25, -23], [-23, 21, 4], [4, 27, -5], [-5, 23, 14]] (m)c.f.e: [-1, 5, -6, 1, -13, 2, -1, 3, -2, 1, -1, 2, -1, 27, -1, 2, -1, 1, -2, 3, -1, 2, -13, 1, -6, 5, -1, 1, -5, 6, -1, 13, -2, 1, -3, 2, -1, 1, -2, 1, -27, 1, -2, 1, -1, 2, -3, 1, -2, 13, -1, 6, -5, 1] number of reduced forms: 54 partition: [54] ============================== d: 811 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 10, 1, 8, 1, 1, 2, 1, 1, 1, 3, 6, 18, 1, 4, 1, 2, 1, 27, 1, 2, 1, 4, 1, 18, 6, 3, 1, 1, 1, 2, 1, 1, 8, 1, 10, 2, 56] Pell solution, x^2- 811 y^2= 1 : [1382072163578616410, 48531117622921197] ---------- 38 cycle: [[25, 12, -31], [-31, 50, 6], [6, 46, -47], [-47, 48, 5], [5, 52, -27], [-27, 56, 1], [1, 56, -27], [-27, 52, 5], [5, 48, -47], [-47, 46, 6], [6, 50, -31], [-31, 12, 25], [25, 38, -18], [-18, 34, 29], [29, 24, -23], [-23, 22, 30], [30, 38, -15], [-15, 52, 9], [9, 56, -3], [-3, 52, 45], [45, 38, -10], [-10, 42, 37], [37, 32, -15], [-15, 28, 41], [41, 54, -2], [-2, 54, 41], [41, 28, -15], [-15, 32, 37], [37, 42, -10], [-10, 38, 45], [45, 52, -3], [-3, 56, 9], [9, 52, -15], [-15, 38, 30], [30, 22, -23], [-23, 24, 29], [29, 34, -18], [-18, 38, 25]] (m)c.f.e: [-1, 8, -1, 10, -2, 56, -2, 10, -1, 8, -1, 1, -2, 1, -1, 1, -3, 6, -18, 1, -4, 1, -2, 1, -27, 1, -2, 1, -4, 1, -18, 6, -3, 1, -1, 1, -2, 1] 38 cycle: [[-25, 12, 31], [31, 50, -6], [-6, 46, 47], [47, 48, -5], [-5, 52, 27], [27, 56, -1], [-1, 56, 27], [27, 52, -5], [-5, 48, 47], [47, 46, -6], [-6, 50, 31], [31, 12, -25], [-25, 38, 18], [18, 34, -29], [-29, 24, 23], [23, 22, -30], [-30, 38, 15], [15, 52, -9], [-9, 56, 3], [3, 52, -45], [-45, 38, 10], [10, 42, -37], [-37, 32, 15], [15, 28, -41], [-41, 54, 2], [2, 54, -41], [-41, 28, 15], [15, 32, -37], [-37, 42, 10], [10, 38, -45], [-45, 52, 3], [3, 56, -9], [-9, 52, 15], [15, 38, -30], [-30, 22, 23], [23, 24, -29], [-29, 34, 18], [18, 38, -25]] (m)c.f.e: [1, -8, 1, -10, 2, -56, 2, -10, 1, -8, 1, -1, 2, -1, 1, -1, 3, -6, 18, -1, 4, -1, 2, -1, 27, -1, 2, -1, 4, -1, 18, -6, 3, -1, 1, -1, 2, -1] number of reduced forms: 76 partition: [38, 38] ============================== d: 813 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 18, 1, 1, 56] Pell solution, x^2- 813 y^2= 1 : [2167, 76] ---------- 6 cycle: [[7, 15, -21], [-21, 27, 1], [1, 27, -21], [-21, 15, 7], [7, 27, -3], [-3, 27, 7]] (m)c.f.e: [-1, 27, -1, 3, -9, 3] 6 cycle: [[-7, 15, 21], [21, 27, -1], [-1, 27, 21], [21, 15, -7], [-7, 27, 3], [3, 27, -7]] (m)c.f.e: [1, -27, 1, -3, 9, -3] number of reduced forms: 12 partition: [6, 6] ============================== d: 814 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 7, 1, 1, 1, 5, 18, 1, 5, 2, 1, 1, 4, 1, 1, 2, 5, 1, 18, 5, 1, 1, 1, 7, 1, 1, 56] Pell solution, x^2- 814 y^2= 1 : [4206992174549, 147454999410] ---------- 28 cycle: [[27, 4, -30], [-30, 56, 1], [1, 56, -30], [-30, 4, 27], [27, 50, -7], [-7, 48, 34], [34, 20, -21], [-21, 22, 33], [33, 44, -10], [-10, 56, 3], [3, 52, -46], [-46, 40, 9], [9, 50, -21], [-21, 34, 25], [25, 16, -30], [-30, 44, 11], [11, 44, -30], [-30, 16, 25], [25, 34, -21], [-21, 50, 9], [9, 40, -46], [-46, 52, 3], [3, 56, -10], [-10, 44, 33], [33, 22, -21], [-21, 20, 34], [34, 48, -7], [-7, 50, 27]] (m)c.f.e: [-1, 56, -1, 1, -7, 1, -1, 1, -5, 18, -1, 5, -2, 1, -1, 4, -1, 1, -2, 5, -1, 18, -5, 1, -1, 1, -7, 1] 28 cycle: [[-27, 4, 30], [30, 56, -1], [-1, 56, 30], [30, 4, -27], [-27, 50, 7], [7, 48, -34], [-34, 20, 21], [21, 22, -33], [-33, 44, 10], [10, 56, -3], [-3, 52, 46], [46, 40, -9], [-9, 50, 21], [21, 34, -25], [-25, 16, 30], [30, 44, -11], [-11, 44, 30], [30, 16, -25], [-25, 34, 21], [21, 50, -9], [-9, 40, 46], [46, 52, -3], [-3, 56, 10], [10, 44, -33], [-33, 22, 21], [21, 20, -34], [-34, 48, 7], [7, 50, -27]] (m)c.f.e: [1, -56, 1, -1, 7, -1, 1, -1, 5, -18, 1, -5, 2, -1, 1, -4, 1, -1, 2, -5, 1, -18, 5, -1, 1, -1, 7, -1] 24 cycle: [[19, 30, -31], [-31, 32, 18], [18, 40, -23], [-23, 52, 6], [6, 56, -5], [-5, 54, 17], [17, 48, -14], [-14, 36, 35], [35, 34, -15], [-15, 56, 2], [2, 56, -15], [-15, 34, 35], [35, 36, -14], [-14, 48, 17], [17, 54, -5], [-5, 56, 6], [6, 52, -23], [-23, 40, 18], [18, 32, -31], [-31, 30, 19], [19, 46, -15], [-15, 44, 22], [22, 44, -15], [-15, 46, 19]] (m)c.f.e: [-1, 2, -2, 9, -11, 3, -3, 1, -3, 28, -3, 1, -3, 3, -11, 9, -2, 2, -1, 2, -3, 2, -3, 2] 24 cycle: [[-19, 30, 31], [31, 32, -18], [-18, 40, 23], [23, 52, -6], [-6, 56, 5], [5, 54, -17], [-17, 48, 14], [14, 36, -35], [-35, 34, 15], [15, 56, -2], [-2, 56, 15], [15, 34, -35], [-35, 36, 14], [14, 48, -17], [-17, 54, 5], [5, 56, -6], [-6, 52, 23], [23, 40, -18], [-18, 32, 31], [31, 30, -19], [-19, 46, 15], [15, 44, -22], [-22, 44, 15], [15, 46, -19]] (m)c.f.e: [1, -2, 2, -9, 11, -3, 3, -1, 3, -28, 3, -1, 3, -3, 11, -9, 2, -2, 1, -2, 3, -2, 3, -2] number of reduced forms: 104 partition: [24, 24, 28, 28] ============================== d: 815 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 4, 1, 2, 5, 2, 1, 4, 1, 1, 56] Pell solution, x^2- 815 y^2= 1 : [156644, 5487] ---------- 12 cycle: [[26, 6, -31], [-31, 56, 1], [1, 56, -31], [-31, 6, 26], [26, 46, -11], [-11, 42, 34], [34, 26, -19], [-19, 50, 10], [10, 50, -19], [-19, 26, 34], [34, 42, -11], [-11, 46, 26]] (m)c.f.e: [-1, 56, -1, 1, -4, 1, -2, 5, -2, 1, -4, 1] 12 cycle: [[-26, 6, 31], [31, 56, -1], [-1, 56, 31], [31, 6, -26], [-26, 46, 11], [11, 42, -34], [-34, 26, 19], [19, 50, -10], [-10, 50, 19], [19, 26, -34], [-34, 42, 11], [11, 46, -26]] (m)c.f.e: [1, -56, 1, -1, 4, -1, 2, -5, 2, -1, 4, -1] 12 cycle: [[17, 26, -38], [-38, 50, 5], [5, 50, -38], [-38, 26, 17], [17, 42, -22], [-22, 46, 13], [13, 32, -43], [-43, 54, 2], [2, 54, -43], [-43, 32, 13], [13, 46, -22], [-22, 42, 17]] (m)c.f.e: [-1, 10, -1, 2, -2, 3, -1, 27, -1, 3, -2, 2] 12 cycle: [[-17, 26, 38], [38, 50, -5], [-5, 50, 38], [38, 26, -17], [-17, 42, 22], [22, 46, -13], [-13, 32, 43], [43, 54, -2], [-2, 54, 43], [43, 32, -13], [-13, 46, 22], [22, 42, -17]] (m)c.f.e: [1, -10, 1, -2, 2, -3, 1, -27, 1, -3, 2, -2] number of reduced forms: 48 partition: [12, 12, 12, 12] ============================== d: 817 number of cycles (narrow class number): 10 class number: 5 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 1, 56] Pell solution, x^2- 817 y^2= 1 : [343, 12] ---------- 6 cycle: [[12, 7, -16], [-16, 25, 3], [3, 23, -24], [-24, 25, 2], [2, 27, -11], [-11, 17, 12]] (m)c.f.e: [-1, 8, -1, 13, -2, 1] 6 cycle: [[-12, 7, 16], [16, 25, -3], [-3, 23, 24], [24, 25, -2], [-2, 27, 11], [11, 17, -12]] (m)c.f.e: [1, -8, 1, -13, 2, -1] 6 cycle: [[16, 7, -12], [-12, 17, 11], [11, 27, -2], [-2, 25, 24], [24, 23, -3], [-3, 25, 16]] (m)c.f.e: [-1, 2, -13, 1, -8, 1] 6 cycle: [[-16, 7, 12], [12, 17, -11], [-11, 27, 2], [2, 25, -24], [-24, 23, 3], [3, 25, -16]] (m)c.f.e: [1, -2, 13, -1, 8, -1] 6 cycle: [[9, 13, -18], [-18, 23, 4], [4, 25, -12], [-12, 23, 6], [6, 25, -8], [-8, 23, 9]] (m)c.f.e: [-1, 6, -2, 4, -3, 2] 6 cycle: [[-9, 13, 18], [18, 23, -4], [-4, 25, 12], [12, 23, -6], [-6, 25, 8], [8, 23, -9]] (m)c.f.e: [1, -6, 2, -4, 3, -2] 6 cycle: [[18, 13, -9], [-9, 23, 8], [8, 25, -6], [-6, 23, 12], [12, 25, -4], [-4, 23, 18]] (m)c.f.e: [-2, 3, -4, 2, -6, 1] 6 cycle: [[-18, 13, 9], [9, 23, -8], [-8, 25, 6], [6, 23, -12], [-12, 25, 4], [4, 23, -18]] (m)c.f.e: [2, -3, 4, -2, 6, -1] 6 cycle: [[6, 17, -22], [-22, 27, 1], [1, 27, -22], [-22, 17, 6], [6, 19, -19], [-19, 19, 6]] (m)c.f.e: [-1, 27, -1, 3, -1, 3] 6 cycle: [[-6, 17, 22], [22, 27, -1], [-1, 27, 22], [22, 17, -6], [-6, 19, 19], [19, 19, -6]] (m)c.f.e: [1, -27, 1, -3, 1, -3] number of reduced forms: 60 partition: [6, 6, 6, 6, 6, 6, 6, 6, 6, 6] ============================== d: 818 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 56] Pell solution, x^2- 818 y^2= -1 : [143, 5] ---------- 10 cycle: [[23, 12, -34], [-34, 56, 1], [1, 56, -34], [-34, 12, 23], [23, 34, -23], [-23, 12, 34], [34, 56, -1], [-1, 56, 34], [34, 12, -23], [-23, 34, 23]] (m)c.f.e: [-1, 56, -1, 1, -1, 1, -56, 1, -1, 1] 14 cycle: [[26, 16, -29], [-29, 42, 13], [13, 36, -38], [-38, 40, 11], [11, 48, -22], [-22, 40, 19], [19, 36, -26], [-26, 16, 29], [29, 42, -13], [-13, 36, 38], [38, 40, -11], [-11, 48, 22], [22, 40, -19], [-19, 36, 26]] (m)c.f.e: [-1, 3, -1, 4, -2, 2, -1, 1, -3, 1, -4, 2, -2, 1] 14 cycle: [[29, 16, -26], [-26, 36, 19], [19, 40, -22], [-22, 48, 11], [11, 40, -38], [-38, 36, 13], [13, 42, -29], [-29, 16, 26], [26, 36, -19], [-19, 40, 22], [22, 48, -11], [-11, 40, 38], [38, 36, -13], [-13, 42, 29]] (m)c.f.e: [-1, 2, -2, 4, -1, 3, -1, 1, -2, 2, -4, 1, -3, 1] 6 cycle: [[17, 46, -17], [-17, 56, 2], [2, 56, -17], [-17, 46, 17], [17, 56, -2], [-2, 56, 17]] (m)c.f.e: [-3, 28, -3, 3, -28, 3] number of reduced forms: 44 partition: [6, 10, 14, 14] ============================== d: 821 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 7, 1, 1, 10, 1, 13, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 13, 1, 10, 1, 1, 7, 1, 1, 1, 56] Pell solution, x^2- 821 y^2= -1 : [2121436703918, 74038651465] ---------- 18 cycle: [[7, 17, -19], [-19, 21, 5], [5, 19, -23], [-23, 27, 1], [1, 27, -23], [-23, 19, 5], [5, 21, -19], [-19, 17, 7], [7, 25, -7], [-7, 17, 19], [19, 21, -5], [-5, 19, 23], [23, 27, -1], [-1, 27, 23], [23, 19, -5], [-5, 21, 19], [19, 17, -7], [-7, 25, 7]] (m)c.f.e: [-1, 4, -1, 27, -1, 4, -1, 3, -3, 1, -4, 1, -27, 1, -4, 1, -3, 3] number of reduced forms: 18 partition: [18] ============================== d: 822 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 28, 2, 1, 56] Pell solution, x^2- 822 y^2= 1 : [7397, 258] ---------- 10 cycle: [[26, 8, -31], [-31, 54, 3], [3, 54, -31], [-31, 8, 26], [26, 44, -13], [-13, 34, 41], [41, 48, -6], [-6, 48, 41], [41, 34, -13], [-13, 44, 26]] (m)c.f.e: [-1, 18, -1, 1, -3, 1, -8, 1, -3, 1] 10 cycle: [[-26, 8, 31], [31, 54, -3], [-3, 54, 31], [31, 8, -26], [-26, 44, 13], [13, 34, -41], [-41, 48, 6], [6, 48, -41], [-41, 34, 13], [13, 44, -26]] (m)c.f.e: [1, -18, 1, -1, 3, -1, 8, -1, 3, -1] 6 cycle: [[19, 20, -38], [-38, 56, 1], [1, 56, -38], [-38, 20, 19], [19, 56, -2], [-2, 56, 19]] (m)c.f.e: [-1, 56, -1, 2, -28, 2] 6 cycle: [[-19, 20, 38], [38, 56, -1], [-1, 56, 38], [38, 20, -19], [-19, 56, 2], [2, 56, -19]] (m)c.f.e: [1, -56, 1, -2, 28, -2] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 823 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 4, 1, 7, 2, 1, 1, 1, 1, 8, 1, 18, 4, 2, 1, 3, 2, 2, 5, 1, 27, 1, 5, 2, 2, 3, 1, 2, 4, 18, 1, 8, 1, 1, 1, 1, 2, 7, 1, 4, 2, 1, 56] Pell solution, x^2- 823 y^2= 1 : [235170474903644006168, 8197527430497636651] ---------- 44 cycle: [[23, 16, -33], [-33, 50, 6], [6, 46, -49], [-49, 52, 3], [3, 56, -13], [-13, 48, 19], [19, 28, -33], [-33, 38, 14], [14, 46, -21], [-21, 38, 22], [22, 50, -9], [-9, 40, 47], [47, 54, -2], [-2, 54, 47], [47, 40, -9], [-9, 50, 22], [22, 38, -21], [-21, 46, 14], [14, 38, -33], [-33, 28, 19], [19, 48, -13], [-13, 56, 3], [3, 52, -49], [-49, 46, 6], [6, 50, -33], [-33, 16, 23], [23, 30, -26], [-26, 22, 27], [27, 32, -21], [-21, 52, 7], [7, 46, -42], [-42, 38, 11], [11, 50, -18], [-18, 22, 39], [39, 56, -1], [-1, 56, 39], [39, 22, -18], [-18, 50, 11], [11, 38, -42], [-42, 46, 7], [7, 52, -21], [-21, 32, 27], [27, 22, -26], [-26, 30, 23]] (m)c.f.e: [-1, 8, -1, 18, -4, 2, -1, 3, -2, 2, -5, 1, -27, 1, -5, 2, -2, 3, -1, 2, -4, 18, -1, 8, -1, 1, -1, 1, -2, 7, -1, 4, -2, 1, -56, 1, -2, 4, -1, 7, -2, 1, -1, 1] 44 cycle: [[-23, 16, 33], [33, 50, -6], [-6, 46, 49], [49, 52, -3], [-3, 56, 13], [13, 48, -19], [-19, 28, 33], [33, 38, -14], [-14, 46, 21], [21, 38, -22], [-22, 50, 9], [9, 40, -47], [-47, 54, 2], [2, 54, -47], [-47, 40, 9], [9, 50, -22], [-22, 38, 21], [21, 46, -14], [-14, 38, 33], [33, 28, -19], [-19, 48, 13], [13, 56, -3], [-3, 52, 49], [49, 46, -6], [-6, 50, 33], [33, 16, -23], [-23, 30, 26], [26, 22, -27], [-27, 32, 21], [21, 52, -7], [-7, 46, 42], [42, 38, -11], [-11, 50, 18], [18, 22, -39], [-39, 56, 1], [1, 56, -39], [-39, 22, 18], [18, 50, -11], [-11, 38, 42], [42, 46, -7], [-7, 52, 21], [21, 32, -27], [-27, 22, 26], [26, 30, -23]] (m)c.f.e: [1, -8, 1, -18, 4, -2, 1, -3, 2, -2, 5, -1, 27, -1, 5, -2, 2, -3, 1, -2, 4, -18, 1, -8, 1, -1, 1, -1, 2, -7, 1, -4, 2, -1, 56, -1, 2, -4, 1, -7, 2, -1, 1, -1] number of reduced forms: 88 partition: [44, 44] ============================== d: 826 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 5, 1, 1, 1, 3, 5, 2, 9, 8, 9, 2, 5, 3, 1, 1, 1, 5, 1, 2, 1, 56] Pell solution, x^2- 826 y^2= 1 : [222239304685, 7732694382] ---------- 24 cycle: [[27, 8, -30], [-30, 52, 5], [5, 48, -50], [-50, 52, 3], [3, 56, -14], [-14, 56, 3], [3, 52, -50], [-50, 48, 5], [5, 52, -30], [-30, 8, 27], [27, 46, -11], [-11, 42, 35], [35, 28, -18], [-18, 44, 19], [19, 32, -30], [-30, 28, 21], [21, 56, -2], [-2, 56, 21], [21, 28, -30], [-30, 32, 19], [19, 44, -18], [-18, 28, 35], [35, 42, -11], [-11, 46, 27]] (m)c.f.e: [-1, 10, -1, 18, -4, 18, -1, 10, -1, 1, -4, 1, -2, 2, -1, 2, -28, 2, -1, 2, -2, 1, -4, 1] 24 cycle: [[-27, 8, 30], [30, 52, -5], [-5, 48, 50], [50, 52, -3], [-3, 56, 14], [14, 56, -3], [-3, 52, 50], [50, 48, -5], [-5, 52, 30], [30, 8, -27], [-27, 46, 11], [11, 42, -35], [-35, 28, 18], [18, 44, -19], [-19, 32, 30], [30, 28, -21], [-21, 56, 2], [2, 56, -21], [-21, 28, 30], [30, 32, -19], [-19, 44, 18], [18, 28, -35], [-35, 42, 11], [11, 46, -27]] (m)c.f.e: [1, -10, 1, -18, 4, -18, 1, -10, 1, -1, 4, -1, 2, -2, 1, -2, 28, -2, 1, -2, 2, -1, 4, -1] 24 cycle: [[22, 20, -33], [-33, 46, 9], [9, 44, -38], [-38, 32, 15], [15, 28, -42], [-42, 56, 1], [1, 56, -42], [-42, 28, 15], [15, 32, -38], [-38, 44, 9], [9, 46, -33], [-33, 20, 22], [22, 24, -31], [-31, 38, 15], [15, 52, -10], [-10, 48, 25], [25, 52, -6], [-6, 56, 7], [7, 56, -6], [-6, 52, 25], [25, 48, -10], [-10, 52, 15], [15, 38, -31], [-31, 24, 22]] (m)c.f.e: [-1, 5, -1, 2, -1, 56, -1, 2, -1, 5, -1, 1, -1, 3, -5, 2, -9, 8, -9, 2, -5, 3, -1, 1] 24 cycle: [[-22, 20, 33], [33, 46, -9], [-9, 44, 38], [38, 32, -15], [-15, 28, 42], [42, 56, -1], [-1, 56, 42], [42, 28, -15], [-15, 32, 38], [38, 44, -9], [-9, 46, 33], [33, 20, -22], [-22, 24, 31], [31, 38, -15], [-15, 52, 10], [10, 48, -25], [-25, 52, 6], [6, 56, -7], [-7, 56, 6], [6, 52, -25], [-25, 48, 10], [10, 52, -15], [-15, 38, 31], [31, 24, -22]] (m)c.f.e: [1, -5, 1, -2, 1, -56, 1, -2, 1, -5, 1, -1, 1, -3, 5, -2, 9, -8, 9, -2, 5, -3, 1, -1] number of reduced forms: 96 partition: [24, 24, 24, 24] ============================== d: 827 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 7, 1, 27, 1, 7, 3, 1, 56] Pell solution, x^2- 827 y^2= 1 : [900602, 31317] ---------- 10 cycle: [[14, 30, -43], [-43, 56, 1], [1, 56, -43], [-43, 30, 14], [14, 54, -7], [-7, 44, 49], [49, 54, -2], [-2, 54, 49], [49, 44, -7], [-7, 54, 14]] (m)c.f.e: [-1, 56, -1, 3, -7, 1, -27, 1, -7, 3] 10 cycle: [[-14, 30, 43], [43, 56, -1], [-1, 56, 43], [43, 30, -14], [-14, 54, 7], [7, 44, -49], [-49, 54, 2], [2, 54, -49], [-49, 44, 7], [7, 54, -14]] (m)c.f.e: [1, -56, 1, -3, 7, -1, 27, -1, 7, -3] number of reduced forms: 20 partition: [10, 10] ============================== d: 829 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 4, 2, 3, 2, 1, 1, 2, 3, 2, 4, 1, 3, 1, 56] Pell solution, x^2- 829 y^2= -1 : [15489282, 537965] ---------- 38 cycle: [[13, 7, -15], [-15, 23, 5], [5, 27, -5], [-5, 23, 15], [15, 7, -13], [-13, 19, 9], [9, 17, -15], [-15, 13, 11], [11, 9, -17], [-17, 25, 3], [3, 23, -25], [-25, 27, 1], [1, 27, -25], [-25, 23, 3], [3, 25, -17], [-17, 9, 11], [11, 13, -15], [-15, 17, 9], [9, 19, -13], [-13, 7, 15], [15, 23, -5], [-5, 27, 5], [5, 23, -15], [-15, 7, 13], [13, 19, -9], [-9, 17, 15], [15, 13, -11], [-11, 9, 17], [17, 25, -3], [-3, 23, 25], [25, 27, -1], [-1, 27, 25], [25, 23, -3], [-3, 25, 17], [17, 9, -11], [-11, 13, 15], [15, 17, -9], [-9, 19, 13]] (m)c.f.e: [-1, 5, -5, 1, -1, 2, -1, 1, -1, 8, -1, 27, -1, 8, -1, 1, -1, 2, -1, 1, -5, 5, -1, 1, -2, 1, -1, 1, -8, 1, -27, 1, -8, 1, -1, 1, -2, 1] number of reduced forms: 38 partition: [38] ============================== d: 830 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 3, 1, 10, 1, 3, 4, 1, 56] Pell solution, x^2- 830 y^2= 1 : [146411, 5082] ---------- 10 cycle: [[14, 32, -41], [-41, 50, 5], [5, 50, -41], [-41, 32, 14], [14, 52, -11], [-11, 36, 46], [46, 56, -1], [-1, 56, 46], [46, 36, -11], [-11, 52, 14]] (m)c.f.e: [-1, 10, -1, 3, -4, 1, -56, 1, -4, 3] 10 cycle: [[-14, 32, 41], [41, 50, -5], [-5, 50, 41], [41, 32, -14], [-14, 52, 11], [11, 36, -46], [-46, 56, 1], [1, 56, -46], [-46, 36, 11], [11, 52, -14]] (m)c.f.e: [1, -10, 1, -3, 4, -1, 56, -1, 4, -3] 10 cycle: [[22, 36, -23], [-23, 56, 2], [2, 56, -23], [-23, 36, 22], [22, 52, -7], [-7, 46, 43], [43, 40, -10], [-10, 40, 43], [43, 46, -7], [-7, 52, 22]] (m)c.f.e: [-2, 28, -2, 2, -7, 1, -4, 1, -7, 2] 10 cycle: [[-22, 36, 23], [23, 56, -2], [-2, 56, 23], [23, 36, -22], [-22, 52, 7], [7, 46, -43], [-43, 40, 10], [10, 40, -43], [-43, 46, 7], [7, 52, -22]] (m)c.f.e: [2, -28, 2, -2, 7, -1, 4, -1, 7, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 831 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 3, 1, 1, 1, 1, 18, 1, 1, 1, 1, 3, 1, 4, 1, 56] Pell solution, x^2- 831 y^2= 1 : [9799705, 339948] ---------- 14 cycle: [[26, 10, -31], [-31, 52, 5], [5, 48, -51], [-51, 54, 2], [2, 54, -51], [-51, 48, 5], [5, 52, -31], [-31, 10, 26], [26, 42, -15], [-15, 48, 17], [17, 54, -6], [-6, 54, 17], [17, 48, -15], [-15, 42, 26]] (m)c.f.e: [-1, 10, -1, 27, -1, 10, -1, 1, -3, 3, -9, 3, -3, 1] 14 cycle: [[-26, 10, 31], [31, 52, -5], [-5, 48, 51], [51, 54, -2], [-2, 54, 51], [51, 48, -5], [-5, 52, 31], [31, 10, -26], [-26, 42, 15], [15, 48, -17], [-17, 54, 6], [6, 54, -17], [-17, 48, 15], [15, 42, -26]] (m)c.f.e: [1, -10, 1, -27, 1, -10, 1, -1, 3, -3, 9, -3, 3, -1] 18 cycle: [[23, 14, -34], [-34, 54, 3], [3, 54, -34], [-34, 14, 23], [23, 32, -25], [-25, 18, 30], [30, 42, -13], [-13, 36, 39], [39, 42, -10], [-10, 38, 47], [47, 56, -1], [-1, 56, 47], [47, 38, -10], [-10, 42, 39], [39, 36, -13], [-13, 42, 30], [30, 18, -25], [-25, 32, 23]] (m)c.f.e: [-1, 18, -1, 1, -1, 1, -3, 1, -4, 1, -56, 1, -4, 1, -3, 1, -1, 1] 18 cycle: [[-23, 14, 34], [34, 54, -3], [-3, 54, 34], [34, 14, -23], [-23, 32, 25], [25, 18, -30], [-30, 42, 13], [13, 36, -39], [-39, 42, 10], [10, 38, -47], [-47, 56, 1], [1, 56, -47], [-47, 38, 10], [10, 42, -39], [-39, 36, 13], [13, 42, -30], [-30, 18, 25], [25, 32, -23]] (m)c.f.e: [1, -18, 1, -1, 1, -1, 3, -1, 4, -1, 56, -1, 4, -1, 3, -1, 1, -1] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 834 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 3, 1, 2, 1, 1, 1, 3, 2, 28, 2, 3, 1, 1, 1, 2, 1, 3, 7, 1, 56] Pell solution, x^2- 834 y^2= 1 : [6552578705, 226897244] ---------- 22 cycle: [[22, 16, -35], [-35, 54, 3], [3, 54, -35], [-35, 16, 22], [22, 28, -29], [-29, 30, 21], [21, 54, -5], [-5, 56, 10], [10, 44, -35], [-35, 26, 19], [19, 50, -11], [-11, 38, 43], [43, 48, -6], [-6, 48, 43], [43, 38, -11], [-11, 50, 19], [19, 26, -35], [-35, 44, 10], [10, 56, -5], [-5, 54, 21], [21, 30, -29], [-29, 28, 22]] (m)c.f.e: [-1, 18, -1, 1, -1, 2, -11, 5, -1, 2, -4, 1, -8, 1, -4, 2, -1, 5, -11, 2, -1, 1] 22 cycle: [[-22, 16, 35], [35, 54, -3], [-3, 54, 35], [35, 16, -22], [-22, 28, 29], [29, 30, -21], [-21, 54, 5], [5, 56, -10], [-10, 44, 35], [35, 26, -19], [-19, 50, 11], [11, 38, -43], [-43, 48, 6], [6, 48, -43], [-43, 38, 11], [11, 50, -19], [-19, 26, 35], [35, 44, -10], [-10, 56, 5], [5, 54, -21], [-21, 30, 29], [29, 28, -22]] (m)c.f.e: [1, -18, 1, -1, 1, -2, 11, -5, 1, -2, 4, -1, 8, -1, 4, -2, 1, -5, 11, -2, 1, -1] 22 cycle: [[23, 22, -31], [-31, 40, 14], [14, 44, -25], [-25, 56, 2], [2, 56, -25], [-25, 44, 14], [14, 40, -31], [-31, 22, 23], [23, 24, -30], [-30, 36, 17], [17, 32, -34], [-34, 36, 15], [15, 54, -7], [-7, 44, 50], [50, 56, -1], [-1, 56, 50], [50, 44, -7], [-7, 54, 15], [15, 36, -34], [-34, 32, 17], [17, 36, -30], [-30, 24, 23]] (m)c.f.e: [-1, 3, -2, 28, -2, 3, -1, 1, -1, 2, -1, 3, -7, 1, -56, 1, -7, 3, -1, 2, -1, 1] 22 cycle: [[-23, 22, 31], [31, 40, -14], [-14, 44, 25], [25, 56, -2], [-2, 56, 25], [25, 44, -14], [-14, 40, 31], [31, 22, -23], [-23, 24, 30], [30, 36, -17], [-17, 32, 34], [34, 36, -15], [-15, 54, 7], [7, 44, -50], [-50, 56, 1], [1, 56, -50], [-50, 44, 7], [7, 54, -15], [-15, 36, 34], [34, 32, -17], [-17, 36, 30], [30, 24, -23]] (m)c.f.e: [1, -3, 2, -28, 2, -3, 1, -1, 1, -2, 1, -3, 7, -1, 56, -1, 7, -3, 1, -2, 1, -1] number of reduced forms: 88 partition: [22, 22, 22, 22] ============================== d: 835 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 1, 1, 1, 5, 1, 3, 3, 1, 1, 2, 5, 2, 1, 1, 3, 3, 1, 5, 1, 1, 1, 8, 1, 56] Pell solution, x^2- 835 y^2= 1 : [34336355806, 1188258591] ---------- 22 cycle: [[27, 10, -30], [-30, 50, 7], [7, 48, -37], [-37, 26, 18], [18, 46, -17], [-17, 56, 3], [3, 52, -53], [-53, 54, 2], [2, 54, -53], [-53, 52, 3], [3, 56, -17], [-17, 46, 18], [18, 26, -37], [-37, 48, 7], [7, 50, -30], [-30, 10, 27], [27, 44, -13], [-13, 34, 42], [42, 50, -5], [-5, 50, 42], [42, 34, -13], [-13, 44, 27]] (m)c.f.e: [-1, 7, -1, 2, -3, 18, -1, 27, -1, 18, -3, 2, -1, 7, -1, 1, -3, 1, -10, 1, -3, 1] 22 cycle: [[-27, 10, 30], [30, 50, -7], [-7, 48, 37], [37, 26, -18], [-18, 46, 17], [17, 56, -3], [-3, 52, 53], [53, 54, -2], [-2, 54, 53], [53, 52, -3], [-3, 56, 17], [17, 46, -18], [-18, 26, 37], [37, 48, -7], [-7, 50, 30], [30, 10, -27], [-27, 44, 13], [13, 34, -42], [-42, 50, 5], [5, 50, -42], [-42, 34, 13], [13, 44, -27]] (m)c.f.e: [1, -7, 1, -2, 3, -18, 1, -27, 1, -18, 3, -2, 1, -7, 1, -1, 3, -1, 10, -1, 3, -1] 26 cycle: [[26, 18, -29], [-29, 40, 15], [15, 50, -14], [-14, 34, 39], [39, 44, -9], [-9, 46, 34], [34, 22, -21], [-21, 20, 35], [35, 50, -6], [-6, 46, 51], [51, 56, -1], [-1, 56, 51], [51, 46, -6], [-6, 50, 35], [35, 20, -21], [-21, 22, 34], [34, 46, -9], [-9, 44, 39], [39, 34, -14], [-14, 50, 15], [15, 40, -29], [-29, 18, 26], [26, 34, -21], [-21, 50, 10], [10, 50, -21], [-21, 34, 26]] (m)c.f.e: [-1, 3, -3, 1, -5, 1, -1, 1, -8, 1, -56, 1, -8, 1, -1, 1, -5, 1, -3, 3, -1, 1, -2, 5, -2, 1] 26 cycle: [[-26, 18, 29], [29, 40, -15], [-15, 50, 14], [14, 34, -39], [-39, 44, 9], [9, 46, -34], [-34, 22, 21], [21, 20, -35], [-35, 50, 6], [6, 46, -51], [-51, 56, 1], [1, 56, -51], [-51, 46, 6], [6, 50, -35], [-35, 20, 21], [21, 22, -34], [-34, 46, 9], [9, 44, -39], [-39, 34, 14], [14, 50, -15], [-15, 40, 29], [29, 18, -26], [-26, 34, 21], [21, 50, -10], [-10, 50, 21], [21, 34, -26]] (m)c.f.e: [1, -3, 3, -1, 5, -1, 1, -1, 8, -1, 56, -1, 8, -1, 1, -1, 5, -1, 3, -3, 1, -1, 2, -5, 2, -1] number of reduced forms: 96 partition: [22, 22, 26, 26] ============================== d: 838 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 18, 3, 6, 9, 2, 28, 2, 9, 6, 3, 18, 1, 56] Pell solution, x^2- 838 y^2= 1 : [42112785797, 1454762046] ---------- 14 cycle: [[3, 52, -54], [-54, 56, 1], [1, 56, -54], [-54, 52, 3], [3, 56, -18], [-18, 52, 9], [9, 56, -6], [-6, 52, 27], [27, 56, -2], [-2, 56, 27], [27, 52, -6], [-6, 56, 9], [9, 52, -18], [-18, 56, 3]] (m)c.f.e: [-1, 56, -1, 18, -3, 6, -9, 2, -28, 2, -9, 6, -3, 18] 14 cycle: [[-3, 52, 54], [54, 56, -1], [-1, 56, 54], [54, 52, -3], [-3, 56, 18], [18, 52, -9], [-9, 56, 6], [6, 52, -27], [-27, 56, 2], [2, 56, -27], [-27, 52, 6], [6, 56, -9], [-9, 52, 18], [18, 56, -3]] (m)c.f.e: [1, -56, 1, -18, 3, -6, 9, -2, 28, -2, 9, -6, 3, -18] number of reduced forms: 28 partition: [14, 14] ============================== d: 839 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 27, 1, 56] Pell solution, x^2- 839 y^2= 1 : [840, 29] ---------- 6 cycle: [[25, 16, -31], [-31, 46, 10], [10, 54, -11], [-11, 56, 5], [5, 54, -22], [-22, 34, 25]] (m)c.f.e: [-1, 5, -5, 11, -2, 1] 6 cycle: [[-25, 16, 31], [31, 46, -10], [-10, 54, 11], [11, 56, -5], [-5, 54, 22], [22, 34, -25]] (m)c.f.e: [1, -5, 5, -11, 2, -1] 6 cycle: [[31, 16, -25], [-25, 34, 22], [22, 54, -5], [-5, 56, 11], [11, 54, -10], [-10, 46, 31]] (m)c.f.e: [-1, 2, -11, 5, -5, 1] 6 cycle: [[-31, 16, 25], [25, 34, -22], [-22, 54, 5], [5, 56, -11], [-11, 54, 10], [10, 46, -31]] (m)c.f.e: [1, -2, 11, -5, 5, -1] 4 cycle: [[2, 54, -55], [-55, 56, 1], [1, 56, -55], [-55, 54, 2]] (m)c.f.e: [-1, 56, -1, 27] 4 cycle: [[-2, 54, 55], [55, 56, -1], [-1, 56, 55], [55, 54, -2]] (m)c.f.e: [1, -56, 1, -27] number of reduced forms: 32 partition: [4, 4, 6, 6, 6, 6] ============================== d: 842 number of cycles (narrow class number): 6 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [58] Pell solution, x^2- 842 y^2= -1 : [29, 1] ---------- 6 cycle: [[29, 2, -29], [-29, 56, 2], [2, 56, -29], [-29, 2, 29], [29, 56, -2], [-2, 56, 29]] (m)c.f.e: [-1, 28, -1, 1, -28, 1] 10 cycle: [[26, 12, -31], [-31, 50, 7], [7, 48, -38], [-38, 28, 17], [17, 40, -26], [-26, 12, 31], [31, 50, -7], [-7, 48, 38], [38, 28, -17], [-17, 40, 26]] (m)c.f.e: [-1, 7, -1, 2, -1, 1, -7, 1, -2, 1] 10 cycle: [[31, 12, -26], [-26, 40, 17], [17, 28, -38], [-38, 48, 7], [7, 50, -31], [-31, 12, 26], [26, 40, -17], [-17, 28, 38], [38, 48, -7], [-7, 50, 31]] (m)c.f.e: [-1, 2, -1, 7, -1, 1, -2, 1, -7, 1] 10 cycle: [[19, 28, -34], [-34, 40, 13], [13, 38, -37], [-37, 36, 14], [14, 48, -19], [-19, 28, 34], [34, 40, -13], [-13, 38, 37], [37, 36, -14], [-14, 48, 19]] (m)c.f.e: [-1, 3, -1, 3, -2, 1, -3, 1, -3, 2] 10 cycle: [[34, 28, -19], [-19, 48, 14], [14, 36, -37], [-37, 38, 13], [13, 40, -34], [-34, 28, 19], [19, 48, -14], [-14, 36, 37], [37, 38, -13], [-13, 40, 34]] (m)c.f.e: [-2, 3, -1, 3, -1, 2, -3, 1, -3, 1] 2 cycle: [[1, 58, -1], [-1, 58, 1]] (m)c.f.e: [-58, 58] number of reduced forms: 48 partition: [2, 6, 10, 10, 10, 10] ============================== d: 843 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [29, 58] Pell solution, x^2- 843 y^2= 1 : [842, 29] ---------- 6 cycle: [[19, 22, -38], [-38, 54, 3], [3, 54, -38], [-38, 22, 19], [19, 54, -6], [-6, 54, 19]] (m)c.f.e: [-1, 18, -1, 2, -9, 2] 6 cycle: [[-19, 22, 38], [38, 54, -3], [-3, 54, 38], [38, 22, -19], [-19, 54, 6], [6, 54, -19]] (m)c.f.e: [1, -18, 1, -2, 9, -2] 2 cycle: [[1, 58, -2], [-2, 58, 1]] (m)c.f.e: [-29, 58] 2 cycle: [[-1, 58, 2], [2, 58, -1]] (m)c.f.e: [29, -58] number of reduced forms: 16 partition: [2, 2, 6, 6] ============================== d: 849 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 3, 1, 2, 1, 7, 1, 1, 2, 4, 11, 2, 2, 1, 18, 1, 2, 2, 11, 4, 2, 1, 1, 7, 1, 2, 1, 3, 7, 58] Pell solution, x^2- 849 y^2= 1 : [1501654712948695, 51536656330476] ---------- 34 cycle: [[14, 3, -15], [-15, 27, 2], [2, 29, -1], [-1, 29, 2], [2, 27, -15], [-15, 3, 14], [14, 25, -4], [-4, 23, 20], [20, 17, -7], [-7, 25, 8], [8, 23, -10], [-10, 17, 14], [14, 11, -13], [-13, 15, 12], [12, 9, -16], [-16, 23, 5], [5, 27, -6], [-6, 21, 17], [17, 13, -10], [-10, 27, 3], [3, 27, -10], [-10, 13, 17], [17, 21, -6], [-6, 27, 5], [5, 23, -16], [-16, 9, 12], [12, 15, -13], [-13, 11, 14], [14, 17, -10], [-10, 23, 8], [8, 25, -7], [-7, 17, 20], [20, 23, -4], [-4, 25, 14]] (m)c.f.e: [-1, 14, -29, 14, -1, 1, -6, 1, -3, 3, -2, 1, -1, 1, -1, 5, -4, 1, -2, 9, -2, 1, -4, 5, -1, 1, -1, 1, -2, 3, -3, 1, -6, 1] 34 cycle: [[-14, 3, 15], [15, 27, -2], [-2, 29, 1], [1, 29, -2], [-2, 27, 15], [15, 3, -14], [-14, 25, 4], [4, 23, -20], [-20, 17, 7], [7, 25, -8], [-8, 23, 10], [10, 17, -14], [-14, 11, 13], [13, 15, -12], [-12, 9, 16], [16, 23, -5], [-5, 27, 6], [6, 21, -17], [-17, 13, 10], [10, 27, -3], [-3, 27, 10], [10, 13, -17], [-17, 21, 6], [6, 27, -5], [-5, 23, 16], [16, 9, -12], [-12, 15, 13], [13, 11, -14], [-14, 17, 10], [10, 23, -8], [-8, 25, 7], [7, 17, -20], [-20, 23, 4], [4, 25, -14]] (m)c.f.e: [1, -14, 29, -14, 1, -1, 6, -1, 3, -3, 2, -1, 1, -1, 1, -5, 4, -1, 2, -9, 2, -1, 4, -5, 1, -1, 1, -1, 2, -3, 3, -1, 6, -1] number of reduced forms: 68 partition: [34, 34] ============================== d: 851 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 1, 4, 2, 7, 1, 7, 2, 4, 1, 5, 58] Pell solution, x^2- 851 y^2= 1 : [8418574, 288585] ---------- 16 cycle: [[22, 18, -35], [-35, 52, 5], [5, 58, -2], [-2, 58, 5], [5, 52, -35], [-35, 18, 22], [22, 26, -31], [-31, 36, 17], [17, 32, -35], [-35, 38, 14], [14, 46, -23], [-23, 46, 14], [14, 38, -35], [-35, 32, 17], [17, 36, -31], [-31, 26, 22]] (m)c.f.e: [-1, 11, -29, 11, -1, 1, -1, 2, -1, 3, -2, 3, -1, 2, -1, 1] 16 cycle: [[-22, 18, 35], [35, 52, -5], [-5, 58, 2], [2, 58, -5], [-5, 52, 35], [35, 18, -22], [-22, 26, 31], [31, 36, -17], [-17, 32, 35], [35, 38, -14], [-14, 46, 23], [23, 46, -14], [-14, 38, 35], [35, 32, -17], [-17, 36, 31], [31, 26, -22]] (m)c.f.e: [1, -11, 29, -11, 1, -1, 1, -2, 1, -3, 2, -3, 1, -2, 1, -1] 12 cycle: [[11, 40, -41], [-41, 42, 10], [10, 58, -1], [-1, 58, 10], [10, 42, -41], [-41, 40, 11], [11, 48, -25], [-25, 52, 7], [7, 46, -46], [-46, 46, 7], [7, 52, -25], [-25, 48, 11]] (m)c.f.e: [-1, 5, -58, 5, -1, 4, -2, 7, -1, 7, -2, 4] 12 cycle: [[-11, 40, 41], [41, 42, -10], [-10, 58, 1], [1, 58, -10], [-10, 42, 41], [41, 40, -11], [-11, 48, 25], [25, 52, -7], [-7, 46, 46], [46, 46, -7], [-7, 52, 25], [25, 48, -11]] (m)c.f.e: [1, -5, 58, -5, 1, -4, 2, -7, 1, -7, 2, -4] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 853 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 5, 1, 2, 4, 1, 1, 14, 19, 2, 2, 19, 14, 1, 1, 4, 2, 1, 5, 1, 4, 58] Pell solution, x^2- 853 y^2= -1 : [10379165085018, 355375843945] ---------- 14 cycle: [[9, 13, -19], [-19, 25, 3], [3, 29, -1], [-1, 29, 3], [3, 25, -19], [-19, 13, 9], [9, 23, -9], [-9, 13, 19], [19, 25, -3], [-3, 29, 1], [1, 29, -3], [-3, 25, 19], [19, 13, -9], [-9, 23, 9]] (m)c.f.e: [-1, 9, -29, 9, -1, 2, -2, 1, -9, 29, -9, 1, -2, 2] number of reduced forms: 14 partition: [14] ============================== d: 854 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 2, 11, 4, 11, 2, 4, 58] Pell solution, x^2- 854 y^2= 1 : [1294299, 44290] ---------- 16 cycle: [[23, 14, -35], [-35, 56, 2], [2, 56, -35], [-35, 14, 23], [23, 32, -26], [-26, 20, 29], [29, 38, -17], [-17, 30, 37], [37, 44, -10], [-10, 56, 7], [7, 56, -10], [-10, 44, 37], [37, 30, -17], [-17, 38, 29], [29, 20, -26], [-26, 32, 23]] (m)c.f.e: [-1, 28, -1, 1, -1, 1, -2, 1, -5, 8, -5, 1, -2, 1, -1, 1] 16 cycle: [[-23, 14, 35], [35, 56, -2], [-2, 56, 35], [35, 14, -23], [-23, 32, 26], [26, 20, -29], [-29, 38, 17], [17, 30, -37], [-37, 44, 10], [10, 56, -7], [-7, 56, 10], [10, 44, -37], [-37, 30, 17], [17, 38, -29], [-29, 20, 26], [26, 32, -23]] (m)c.f.e: [1, -28, 1, -1, 1, -1, 2, -1, 5, -8, 5, -1, 2, -1, 1, -1] 8 cycle: [[13, 46, -25], [-25, 54, 5], [5, 56, -14], [-14, 56, 5], [5, 54, -25], [-25, 46, 13], [13, 58, -1], [-1, 58, 13]] (m)c.f.e: [-2, 11, -4, 11, -2, 4, -58, 4] 8 cycle: [[-13, 46, 25], [25, 54, -5], [-5, 56, 14], [14, 56, -5], [-5, 54, 25], [25, 46, -13], [-13, 58, 1], [1, 58, -13]] (m)c.f.e: [2, -11, 4, -11, 2, -4, 58, -4] number of reduced forms: 48 partition: [8, 8, 16, 16] ============================== d: 857 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 1, 3, 1, 6, 1, 1, 6, 1, 3, 1, 1, 1, 3, 58] Pell solution, x^2- 857 y^2= -1 : [8118568, 277325] ---------- 22 cycle: [[13, 5, -16], [-16, 27, 2], [2, 29, -2], [-2, 27, 16], [16, 5, -13], [-13, 21, 8], [8, 27, -4], [-4, 29, 1], [1, 29, -4], [-4, 27, 8], [8, 21, -13], [-13, 5, 16], [16, 27, -2], [-2, 29, 2], [2, 27, -16], [-16, 5, 13], [13, 21, -8], [-8, 27, 4], [4, 29, -1], [-1, 29, 4], [4, 27, -8], [-8, 21, 13]] (m)c.f.e: [-1, 14, -14, 1, -1, 3, -7, 29, -7, 3, -1, 1, -14, 14, -1, 1, -3, 7, -29, 7, -3, 1] number of reduced forms: 22 partition: [22] ============================== d: 858 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 3, 58] Pell solution, x^2- 858 y^2= 1 : [703, 24] ---------- 8 cycle: [[21, 18, -37], [-37, 56, 2], [2, 56, -37], [-37, 18, 21], [21, 24, -34], [-34, 44, 11], [11, 44, -34], [-34, 24, 21]] (m)c.f.e: [-1, 28, -1, 1, -1, 4, -1, 1] 8 cycle: [[-21, 18, 37], [37, 56, -2], [-2, 56, 37], [37, 18, -21], [-21, 24, 34], [34, 44, -11], [-11, 44, 34], [34, 24, -21]] (m)c.f.e: [1, -28, 1, -1, 1, -4, 1, -1] 6 cycle: [[14, 32, -43], [-43, 54, 3], [3, 54, -43], [-43, 32, 14], [14, 52, -13], [-13, 52, 14]] (m)c.f.e: [-1, 18, -1, 3, -4, 3] 6 cycle: [[-14, 32, 43], [43, 54, -3], [-3, 54, 43], [43, 32, -14], [-14, 52, 13], [13, 52, -14]] (m)c.f.e: [1, -18, 1, -3, 4, -3] 4 cycle: [[17, 44, -22], [-22, 44, 17], [17, 58, -1], [-1, 58, 17]] (m)c.f.e: [-2, 3, -58, 3] 4 cycle: [[-17, 44, 22], [22, 44, -17], [-17, 58, 1], [1, 58, -17]] (m)c.f.e: [2, -3, 58, -3] 6 cycle: [[7, 46, -47], [-47, 48, 6], [6, 48, -47], [-47, 46, 7], [7, 52, -26], [-26, 52, 7]] (m)c.f.e: [-1, 8, -1, 7, -2, 7] 6 cycle: [[-7, 46, 47], [47, 48, -6], [-6, 48, 47], [47, 46, -7], [-7, 52, 26], [26, 52, -7]] (m)c.f.e: [1, -8, 1, -7, 2, -7] number of reduced forms: 48 partition: [4, 4, 6, 6, 6, 6, 8, 8] ============================== d: 859 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 4, 5, 1, 1, 1, 2, 2, 3, 2, 19, 9, 1, 2, 1, 1, 4, 1, 3, 11, 2, 6, 29, 6, 2, 11, 3, 1, 4, 1, 1, 2, 1, 9, 19, 2, 3, 2, 2, 1, 1, 1, 5, 4, 3, 58] Pell solution, x^2- 859 y^2= 1 : [2058844771979643060124010, 70246877103894937291269] ---------- 46 cycle: [[27, 14, -30], [-30, 46, 11], [11, 42, -38], [-38, 34, 15], [15, 56, -5], [-5, 54, 26], [26, 50, -9], [-9, 58, 2], [2, 58, -9], [-9, 50, 26], [26, 54, -5], [-5, 56, 15], [15, 34, -38], [-38, 42, 11], [11, 46, -30], [-30, 14, 27], [27, 40, -17], [-17, 28, 39], [39, 50, -6], [-6, 58, 3], [3, 56, -25], [-25, 44, 15], [15, 46, -22], [-22, 42, 19], [19, 34, -30], [-30, 26, 23], [23, 20, -33], [-33, 46, 10], [10, 54, -13], [-13, 50, 18], [18, 58, -1], [-1, 58, 18], [18, 50, -13], [-13, 54, 10], [10, 46, -33], [-33, 20, 23], [23, 26, -30], [-30, 34, 19], [19, 42, -22], [-22, 46, 15], [15, 44, -25], [-25, 56, 3], [3, 58, -6], [-6, 50, 39], [39, 28, -17], [-17, 40, 27]] (m)c.f.e: [-1, 4, -1, 3, -11, 2, -6, 29, -6, 2, -11, 3, -1, 4, -1, 1, -2, 1, -9, 19, -2, 3, -2, 2, -1, 1, -1, 5, -4, 3, -58, 3, -4, 5, -1, 1, -1, 2, -2, 3, -2, 19, -9, 1, -2, 1] 46 cycle: [[-27, 14, 30], [30, 46, -11], [-11, 42, 38], [38, 34, -15], [-15, 56, 5], [5, 54, -26], [-26, 50, 9], [9, 58, -2], [-2, 58, 9], [9, 50, -26], [-26, 54, 5], [5, 56, -15], [-15, 34, 38], [38, 42, -11], [-11, 46, 30], [30, 14, -27], [-27, 40, 17], [17, 28, -39], [-39, 50, 6], [6, 58, -3], [-3, 56, 25], [25, 44, -15], [-15, 46, 22], [22, 42, -19], [-19, 34, 30], [30, 26, -23], [-23, 20, 33], [33, 46, -10], [-10, 54, 13], [13, 50, -18], [-18, 58, 1], [1, 58, -18], [-18, 50, 13], [13, 54, -10], [-10, 46, 33], [33, 20, -23], [-23, 26, 30], [30, 34, -19], [-19, 42, 22], [22, 46, -15], [-15, 44, 25], [25, 56, -3], [-3, 58, 6], [6, 50, -39], [-39, 28, 17], [17, 40, -27]] (m)c.f.e: [1, -4, 1, -3, 11, -2, 6, -29, 6, -2, 11, -3, 1, -4, 1, -1, 2, -1, 9, -19, 2, -3, 2, -2, 1, -1, 1, -5, 4, -3, 58, -3, 4, -5, 1, -1, 1, -2, 2, -3, 2, -19, 9, -1, 2, -1] number of reduced forms: 92 partition: [46, 46] ============================== d: 861 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 11, 14, 1, 1, 2, 2, 2, 1, 1, 14, 11, 1, 2, 58] Pell solution, x^2- 861 y^2= 1 : [541601801, 18457740] ---------- 8 cycle: [[13, 9, -15], [-15, 21, 7], [7, 21, -15], [-15, 9, 13], [13, 17, -11], [-11, 27, 3], [3, 27, -11], [-11, 17, 13]] (m)c.f.e: [-1, 3, -1, 1, -2, 9, -2, 1] 8 cycle: [[-13, 9, 15], [15, 21, -7], [-7, 21, 15], [15, 9, -13], [-13, 17, 11], [11, 27, -3], [-3, 27, 11], [11, 17, -13]] (m)c.f.e: [1, -3, 1, -1, 2, -9, 2, -1] 4 cycle: [[5, 21, -21], [-21, 21, 5], [5, 29, -1], [-1, 29, 5]] (m)c.f.e: [-1, 5, -29, 5] 4 cycle: [[-5, 21, 21], [21, 21, -5], [-5, 29, 1], [1, 29, -5]] (m)c.f.e: [1, -5, 29, -5] number of reduced forms: 24 partition: [4, 4, 8, 8] ============================== d: 862 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 3, 1, 1, 9, 4, 2, 2, 2, 1, 5, 1, 4, 2, 19, 8, 2, 1, 28, 1, 2, 8, 19, 2, 4, 1, 5, 1, 2, 2, 2, 4, 9, 1, 1, 3, 1, 2, 58] Pell solution, x^2- 862 y^2= 1 : [358022566147312125503, 12194296994921665128] ---------- 40 cycle: [[27, 10, -31], [-31, 52, 6], [6, 56, -13], [-13, 48, 22], [22, 40, -21], [-21, 44, 18], [18, 28, -37], [-37, 46, 9], [9, 44, -42], [-42, 40, 11], [11, 48, -26], [-26, 56, 3], [3, 58, -7], [-7, 54, 19], [19, 22, -39], [-39, 56, 2], [2, 56, -39], [-39, 22, 19], [19, 54, -7], [-7, 58, 3], [3, 56, -26], [-26, 48, 11], [11, 40, -42], [-42, 44, 9], [9, 46, -37], [-37, 28, 18], [18, 44, -21], [-21, 40, 22], [22, 48, -13], [-13, 56, 6], [6, 52, -31], [-31, 10, 27], [27, 44, -14], [-14, 40, 33], [33, 26, -21], [-21, 58, 1], [1, 58, -21], [-21, 26, 33], [33, 40, -14], [-14, 44, 27]] (m)c.f.e: [-1, 9, -4, 2, -2, 2, -1, 5, -1, 4, -2, 19, -8, 2, -1, 28, -1, 2, -8, 19, -2, 4, -1, 5, -1, 2, -2, 2, -4, 9, -1, 1, -3, 1, -2, 58, -2, 1, -3, 1] 40 cycle: [[-27, 10, 31], [31, 52, -6], [-6, 56, 13], [13, 48, -22], [-22, 40, 21], [21, 44, -18], [-18, 28, 37], [37, 46, -9], [-9, 44, 42], [42, 40, -11], [-11, 48, 26], [26, 56, -3], [-3, 58, 7], [7, 54, -19], [-19, 22, 39], [39, 56, -2], [-2, 56, 39], [39, 22, -19], [-19, 54, 7], [7, 58, -3], [-3, 56, 26], [26, 48, -11], [-11, 40, 42], [42, 44, -9], [-9, 46, 37], [37, 28, -18], [-18, 44, 21], [21, 40, -22], [-22, 48, 13], [13, 56, -6], [-6, 52, 31], [31, 10, -27], [-27, 44, 14], [14, 40, -33], [-33, 26, 21], [21, 58, -1], [-1, 58, 21], [21, 26, -33], [-33, 40, 14], [14, 44, -27]] (m)c.f.e: [1, -9, 4, -2, 2, -2, 1, -5, 1, -4, 2, -19, 8, -2, 1, -28, 1, -2, 8, -19, 2, -4, 1, -5, 1, -2, 2, -2, 4, -9, 1, -1, 3, -1, 2, -58, 2, -1, 3, -1] number of reduced forms: 80 partition: [40, 40] ============================== d: 863 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 1, 7, 1, 3, 3, 5, 29, 5, 3, 3, 1, 7, 1, 1, 1, 2, 58] Pell solution, x^2- 863 y^2= 1 : [18524026608, 630565199] ---------- 20 cycle: [[23, 18, -34], [-34, 50, 7], [7, 48, -41], [-41, 34, 14], [14, 50, -17], [-17, 52, 11], [11, 58, -2], [-2, 58, 11], [11, 52, -17], [-17, 50, 14], [14, 34, -41], [-41, 48, 7], [7, 50, -34], [-34, 18, 23], [23, 28, -29], [-29, 30, 22], [22, 58, -1], [-1, 58, 22], [22, 30, -29], [-29, 28, 23]] (m)c.f.e: [-1, 7, -1, 3, -3, 5, -29, 5, -3, 3, -1, 7, -1, 1, -1, 2, -58, 2, -1, 1] 20 cycle: [[-23, 18, 34], [34, 50, -7], [-7, 48, 41], [41, 34, -14], [-14, 50, 17], [17, 52, -11], [-11, 58, 2], [2, 58, -11], [-11, 52, 17], [17, 50, -14], [-14, 34, 41], [41, 48, -7], [-7, 50, 34], [34, 18, -23], [-23, 28, 29], [29, 30, -22], [-22, 58, 1], [1, 58, -22], [-22, 30, 29], [29, 28, -23]] (m)c.f.e: [1, -7, 1, -3, 3, -5, 29, -5, 3, -3, 1, -7, 1, -1, 1, -2, 58, -2, 1, -1] number of reduced forms: 40 partition: [20, 20] ============================== d: 865 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 3, 3, 1, 1, 1, 2, 6, 6, 2, 1, 1, 1, 3, 3, 2, 2, 58] Pell solution, x^2- 865 y^2= -1 : [348345108, 11844089] ---------- 42 cycle: [[14, 5, -15], [-15, 25, 4], [4, 23, -21], [-21, 19, 6], [6, 29, -1], [-1, 29, 6], [6, 19, -21], [-21, 23, 4], [4, 25, -15], [-15, 5, 14], [14, 23, -6], [-6, 25, 10], [10, 15, -16], [-16, 17, 9], [9, 19, -14], [-14, 9, 14], [14, 19, -9], [-9, 17, 16], [16, 15, -10], [-10, 25, 6], [6, 23, -14], [-14, 5, 15], [15, 25, -4], [-4, 23, 21], [21, 19, -6], [-6, 29, 1], [1, 29, -6], [-6, 19, 21], [21, 23, -4], [-4, 25, 15], [15, 5, -14], [-14, 23, 6], [6, 25, -10], [-10, 15, 16], [16, 17, -9], [-9, 19, 14], [14, 9, -14], [-14, 19, 9], [9, 17, -16], [-16, 15, 10], [10, 25, -6], [-6, 23, 14]] (m)c.f.e: [-1, 6, -1, 4, -29, 4, -1, 6, -1, 1, -4, 2, -1, 2, -1, 1, -2, 1, -2, 4, -1, 1, -6, 1, -4, 29, -4, 1, -6, 1, -1, 4, -2, 1, -2, 1, -1, 2, -1, 2, -4, 1] 38 cycle: [[12, 7, -17], [-17, 27, 2], [2, 29, -3], [-3, 25, 20], [20, 15, -8], [-8, 17, 18], [18, 19, -7], [-7, 23, 12], [12, 25, -5], [-5, 25, 12], [12, 23, -7], [-7, 19, 18], [18, 17, -8], [-8, 15, 20], [20, 25, -3], [-3, 29, 2], [2, 27, -17], [-17, 7, 12], [12, 17, -12], [-12, 7, 17], [17, 27, -2], [-2, 29, 3], [3, 25, -20], [-20, 15, 8], [8, 17, -18], [-18, 19, 7], [7, 23, -12], [-12, 25, 5], [5, 25, -12], [-12, 23, 7], [7, 19, -18], [-18, 17, 8], [8, 15, -20], [-20, 25, 3], [3, 29, -2], [-2, 27, 17], [17, 7, -12], [-12, 17, 12]] (m)c.f.e: [-1, 14, -9, 1, -2, 1, -3, 2, -5, 2, -3, 1, -2, 1, -9, 14, -1, 1, -1, 1, -14, 9, -1, 2, -1, 3, -2, 5, -2, 3, -1, 2, -1, 9, -14, 1, -1, 1] number of reduced forms: 80 partition: [38, 42] ============================== d: 866 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 1, 28, 1, 2, 2, 58] Pell solution, x^2- 866 y^2= 1 : [42435, 1442] ---------- 10 cycle: [[29, 10, -29], [-29, 48, 10], [10, 52, -19], [-19, 24, 38], [38, 52, -5], [-5, 58, 5], [5, 52, -38], [-38, 24, 19], [19, 52, -10], [-10, 48, 29]] (m)c.f.e: [-1, 5, -2, 1, -11, 11, -1, 2, -5, 1] 10 cycle: [[-29, 10, 29], [29, 48, -10], [-10, 52, 19], [19, 24, -38], [-38, 52, 5], [5, 58, -5], [-5, 52, 38], [38, 24, -19], [-19, 52, 10], [10, 48, -29]] (m)c.f.e: [1, -5, 2, -1, 11, -11, 1, -2, 5, -1] 8 cycle: [[17, 26, -41], [-41, 56, 2], [2, 56, -41], [-41, 26, 17], [17, 42, -25], [-25, 58, 1], [1, 58, -25], [-25, 42, 17]] (m)c.f.e: [-1, 28, -1, 2, -2, 58, -2, 2] 8 cycle: [[-17, 26, 41], [41, 56, -2], [-2, 56, 41], [41, 26, -17], [-17, 42, 25], [25, 58, -1], [-1, 58, 25], [25, 42, -17]] (m)c.f.e: [1, -28, 1, -2, 2, -58, 2, -2] number of reduced forms: 36 partition: [8, 8, 10, 10] ============================== d: 869 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 11, 3, 2, 1, 1, 1, 1, 1, 14, 8, 2, 1, 4, 1, 2, 8, 14, 1, 1, 1, 1, 1, 2, 3, 11, 2, 58] Pell solution, x^2- 869 y^2= 1 : [60192738698751, 2041898807200] ---------- 8 cycle: [[11, 11, -17], [-17, 23, 5], [5, 27, -7], [-7, 29, 1], [1, 29, -7], [-7, 27, 5], [5, 23, -17], [-17, 11, 11]] (m)c.f.e: [-1, 5, -4, 29, -4, 5, -1, 1] 8 cycle: [[-11, 11, 17], [17, 23, -5], [-5, 27, 7], [7, 29, -1], [-1, 29, 7], [7, 27, -5], [-5, 23, 17], [17, 11, -11]] (m)c.f.e: [1, -5, 4, -29, 4, -5, 1, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 870 number of cycles (narrow class number): 16 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 58] Pell solution, x^2- 870 y^2= 1 : [59, 2] ---------- 6 cycle: [[26, 16, -31], [-31, 46, 11], [11, 42, -39], [-39, 36, 14], [14, 48, -21], [-21, 36, 26]] (m)c.f.e: [-1, 4, -1, 3, -2, 1] 6 cycle: [[-26, 16, 31], [31, 46, -11], [-11, 42, 39], [39, 36, -14], [-14, 48, 21], [21, 36, -26]] (m)c.f.e: [1, -4, 1, -3, 2, -1] 6 cycle: [[31, 16, -26], [-26, 36, 21], [21, 48, -14], [-14, 36, 39], [39, 42, -11], [-11, 46, 31]] (m)c.f.e: [-1, 2, -3, 1, -4, 1] 6 cycle: [[-31, 16, 26], [26, 36, -21], [-21, 48, 14], [14, 36, -39], [-39, 42, 11], [11, 46, -31]] (m)c.f.e: [1, -2, 3, -1, 4, -1] 6 cycle: [[22, 20, -35], [-35, 50, 7], [7, 48, -42], [-42, 36, 13], [13, 42, -33], [-33, 24, 22]] (m)c.f.e: [-1, 7, -1, 3, -1, 1] 6 cycle: [[-22, 20, 35], [35, 50, -7], [-7, 48, 42], [42, 36, -13], [-13, 42, 33], [33, 24, -22]] (m)c.f.e: [1, -7, 1, -3, 1, -1] 6 cycle: [[35, 20, -22], [-22, 24, 33], [33, 42, -13], [-13, 36, 42], [42, 48, -7], [-7, 50, 35]] (m)c.f.e: [-1, 1, -3, 1, -7, 1] 6 cycle: [[-35, 20, 22], [22, 24, -33], [-33, 42, 13], [13, 36, -42], [-42, 48, 7], [7, 50, -35]] (m)c.f.e: [1, -1, 3, -1, 7, -1] 4 cycle: [[15, 30, -43], [-43, 56, 2], [2, 56, -43], [-43, 30, 15]] (m)c.f.e: [-1, 28, -1, 2] 4 cycle: [[-15, 30, 43], [43, 56, -2], [-2, 56, 43], [43, 30, -15]] (m)c.f.e: [1, -28, 1, -2] 4 cycle: [[10, 40, -47], [-47, 54, 3], [3, 54, -47], [-47, 40, 10]] (m)c.f.e: [-1, 18, -1, 4] 4 cycle: [[-10, 40, 47], [47, 54, -3], [-3, 54, 47], [47, 40, -10]] (m)c.f.e: [1, -18, 1, -4] 4 cycle: [[6, 48, -49], [-49, 50, 5], [5, 50, -49], [-49, 48, 6]] (m)c.f.e: [-1, 10, -1, 8] 4 cycle: [[-6, 48, 49], [49, 50, -5], [-5, 50, 49], [49, 48, -6]] (m)c.f.e: [1, -10, 1, -8] 2 cycle: [[1, 58, -29], [-29, 58, 1]] (m)c.f.e: [-2, 58] 2 cycle: [[-1, 58, 29], [29, 58, -1]] (m)c.f.e: [2, -58] number of reduced forms: 76 partition: [2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6] ============================== d: 871 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 19, 5, 1, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 5, 19, 1, 1, 58] Pell solution, x^2- 871 y^2= 1 : [19442812076, 658794555] ---------- 24 cycle: [[29, 2, -30], [-30, 58, 1], [1, 58, -30], [-30, 2, 29], [29, 56, -3], [-3, 58, 10], [10, 42, -43], [-43, 44, 9], [9, 46, -38], [-38, 30, 17], [17, 38, -30], [-30, 22, 25], [25, 28, -27], [-27, 26, 26], [26, 26, -27], [-27, 28, 25], [25, 22, -30], [-30, 38, 17], [17, 30, -38], [-38, 46, 9], [9, 44, -43], [-43, 42, 10], [10, 58, -3], [-3, 56, 29]] (m)c.f.e: [-1, 58, -1, 1, -19, 5, -1, 5, -1, 2, -1, 1, -1, 1, -1, 1, -1, 2, -1, 5, -1, 5, -19, 1] 24 cycle: [[-29, 2, 30], [30, 58, -1], [-1, 58, 30], [30, 2, -29], [-29, 56, 3], [3, 58, -10], [-10, 42, 43], [43, 44, -9], [-9, 46, 38], [38, 30, -17], [-17, 38, 30], [30, 22, -25], [-25, 28, 27], [27, 26, -26], [-26, 26, 27], [27, 28, -25], [-25, 22, 30], [30, 38, -17], [-17, 30, 38], [38, 46, -9], [-9, 44, 43], [43, 42, -10], [-10, 58, 3], [3, 56, -29]] (m)c.f.e: [1, -58, 1, -1, 19, -5, 1, -5, 1, -2, 1, -1, 1, -1, 1, -1, 1, -2, 1, -5, 1, -5, 19, -1] 20 cycle: [[18, 26, -39], [-39, 52, 5], [5, 58, -6], [-6, 50, 41], [41, 32, -15], [-15, 58, 2], [2, 58, -15], [-15, 32, 41], [41, 50, -6], [-6, 58, 5], [5, 52, -39], [-39, 26, 18], [18, 46, -19], [-19, 30, 34], [34, 38, -15], [-15, 52, 13], [13, 52, -15], [-15, 38, 34], [34, 30, -19], [-19, 46, 18]] (m)c.f.e: [-1, 11, -9, 1, -3, 29, -3, 1, -9, 11, -1, 2, -2, 1, -3, 4, -3, 1, -2, 2] 20 cycle: [[-18, 26, 39], [39, 52, -5], [-5, 58, 6], [6, 50, -41], [-41, 32, 15], [15, 58, -2], [-2, 58, 15], [15, 32, -41], [-41, 50, 6], [6, 58, -5], [-5, 52, 39], [39, 26, -18], [-18, 46, 19], [19, 30, -34], [-34, 38, 15], [15, 52, -13], [-13, 52, 15], [15, 38, -34], [-34, 30, 19], [19, 46, -18]] (m)c.f.e: [1, -11, 9, -1, 3, -29, 3, -1, 9, -11, 1, -2, 2, -1, 3, -4, 3, -1, 2, -2] number of reduced forms: 88 partition: [20, 20, 24, 24] ============================== d: 874 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 2, 3, 1, 1, 58] Pell solution, x^2- 874 y^2= 1 : [3725, 126] ---------- 6 cycle: [[29, 4, -30], [-30, 56, 3], [3, 58, -11], [-11, 52, 18], [18, 56, -5], [-5, 54, 29]] (m)c.f.e: [-1, 19, -5, 3, -11, 1] 6 cycle: [[-29, 4, 30], [30, 56, -3], [-3, 58, 11], [11, 52, -18], [-18, 56, 5], [5, 54, -29]] (m)c.f.e: [1, -19, 5, -3, 11, -1] 6 cycle: [[30, 4, -29], [-29, 54, 5], [5, 56, -18], [-18, 52, 11], [11, 58, -3], [-3, 56, 30]] (m)c.f.e: [-1, 11, -3, 5, -19, 1] 6 cycle: [[-30, 4, 29], [29, 54, -5], [-5, 56, 18], [18, 52, -11], [-11, 58, 3], [3, 56, -30]] (m)c.f.e: [1, -11, 3, -5, 19, -1] 8 cycle: [[26, 8, -33], [-33, 58, 1], [1, 58, -33], [-33, 8, 26], [26, 44, -15], [-15, 46, 23], [23, 46, -15], [-15, 44, 26]] (m)c.f.e: [-1, 58, -1, 1, -3, 2, -3, 1] 8 cycle: [[-26, 8, 33], [33, 58, -1], [-1, 58, 33], [33, 8, -26], [-26, 44, 15], [15, 46, -23], [-23, 46, 15], [15, 44, -26]] (m)c.f.e: [1, -58, 1, -1, 3, -2, 3, -1] 8 cycle: [[25, 14, -33], [-33, 52, 6], [6, 56, -15], [-15, 34, 39], [39, 44, -10], [-10, 56, 9], [9, 52, -22], [-22, 36, 25]] (m)c.f.e: [-1, 9, -3, 1, -5, 6, -2, 1] 8 cycle: [[-25, 14, 33], [33, 52, -6], [-6, 56, 15], [15, 34, -39], [-39, 44, 10], [10, 56, -9], [-9, 52, 22], [22, 36, -25]] (m)c.f.e: [1, -9, 3, -1, 5, -6, 2, -1] 8 cycle: [[33, 14, -25], [-25, 36, 22], [22, 52, -9], [-9, 56, 10], [10, 44, -39], [-39, 34, 15], [15, 56, -6], [-6, 52, 33]] (m)c.f.e: [-1, 2, -6, 5, -1, 3, -9, 1] 8 cycle: [[-33, 14, 25], [25, 36, -22], [-22, 52, 9], [9, 56, -10], [-10, 44, 39], [39, 34, -15], [-15, 56, 6], [6, 52, -33]] (m)c.f.e: [1, -2, 6, -5, 1, -3, 9, -1] 10 cycle: [[27, 16, -30], [-30, 44, 13], [13, 34, -45], [-45, 56, 2], [2, 56, -45], [-45, 34, 13], [13, 44, -30], [-30, 16, 27], [27, 38, -19], [-19, 38, 27]] (m)c.f.e: [-1, 3, -1, 28, -1, 3, -1, 1, -2, 1] 10 cycle: [[-27, 16, 30], [30, 44, -13], [-13, 34, 45], [45, 56, -2], [-2, 56, 45], [45, 34, -13], [-13, 44, 30], [30, 16, -27], [-27, 38, 19], [19, 38, -27]] (m)c.f.e: [1, -3, 1, -28, 1, -3, 1, -1, 2, -1] number of reduced forms: 92 partition: [6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10] ============================== d: 877 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1, 58] Pell solution, x^2- 877 y^2= -1 : [241326, 8149] ---------- 18 cycle: [[7, 17, -21], [-21, 25, 3], [3, 29, -3], [-3, 25, 21], [21, 17, -7], [-7, 25, 9], [9, 29, -1], [-1, 29, 9], [9, 25, -7], [-7, 17, 21], [21, 25, -3], [-3, 29, 3], [3, 25, -21], [-21, 17, 7], [7, 25, -9], [-9, 29, 1], [1, 29, -9], [-9, 25, 7]] (m)c.f.e: [-1, 9, -9, 1, -3, 3, -29, 3, -3, 1, -9, 9, -1, 3, -3, 29, -3, 3] number of reduced forms: 18 partition: [18] ============================== d: 878 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 2, 4, 1, 28, 1, 4, 2, 2, 1, 1, 1, 58] Pell solution, x^2- 878 y^2= 1 : [9314703, 314356] ---------- 16 cycle: [[22, 16, -37], [-37, 58, 1], [1, 58, -37], [-37, 16, 22], [22, 28, -31], [-31, 34, 19], [19, 42, -23], [-23, 50, 11], [11, 38, -47], [-47, 56, 2], [2, 56, -47], [-47, 38, 11], [11, 50, -23], [-23, 42, 19], [19, 34, -31], [-31, 28, 22]] (m)c.f.e: [-1, 58, -1, 1, -1, 2, -2, 4, -1, 28, -1, 4, -2, 2, -1, 1] 16 cycle: [[-22, 16, 37], [37, 58, -1], [-1, 58, 37], [37, 16, -22], [-22, 28, 31], [31, 34, -19], [-19, 42, 23], [23, 50, -11], [-11, 38, 47], [47, 56, -2], [-2, 56, 47], [47, 38, -11], [-11, 50, 23], [23, 42, -19], [-19, 34, 31], [31, 28, -22]] (m)c.f.e: [1, -58, 1, -1, 1, -2, 2, -4, 1, -28, 1, -4, 2, -2, 1, -1] number of reduced forms: 32 partition: [16, 16] ============================== d: 879 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 5, 3, 1, 3, 2, 9, 2, 3, 1, 3, 5, 1, 1, 1, 58] Pell solution, x^2- 879 y^2= 1 : [107245324, 3617295] ---------- 14 cycle: [[29, 6, -30], [-30, 54, 5], [5, 56, -19], [-19, 58, 2], [2, 58, -19], [-19, 56, 5], [5, 54, -30], [-30, 6, 29], [29, 52, -7], [-7, 46, 50], [50, 54, -3], [-3, 54, 50], [50, 46, -7], [-7, 52, 29]] (m)c.f.e: [-1, 11, -3, 29, -3, 11, -1, 1, -7, 1, -18, 1, -7, 1] 14 cycle: [[-29, 6, 30], [30, 54, -5], [-5, 56, 19], [19, 58, -2], [-2, 58, 19], [19, 56, -5], [-5, 54, 30], [30, 6, -29], [-29, 52, 7], [7, 46, -50], [-50, 54, 3], [3, 54, -50], [-50, 46, 7], [7, 52, -29]] (m)c.f.e: [1, -11, 3, -29, 3, -11, 1, -1, 7, -1, 18, -1, 7, -1] 18 cycle: [[21, 18, -38], [-38, 58, 1], [1, 58, -38], [-38, 18, 21], [21, 24, -35], [-35, 46, 10], [10, 54, -15], [-15, 36, 37], [37, 38, -14], [-14, 46, 25], [25, 54, -6], [-6, 54, 25], [25, 46, -14], [-14, 38, 37], [37, 36, -15], [-15, 54, 10], [10, 46, -35], [-35, 24, 21]] (m)c.f.e: [-1, 58, -1, 1, -1, 5, -3, 1, -3, 2, -9, 2, -3, 1, -3, 5, -1, 1] 18 cycle: [[-21, 18, 38], [38, 58, -1], [-1, 58, 38], [38, 18, -21], [-21, 24, 35], [35, 46, -10], [-10, 54, 15], [15, 36, -37], [-37, 38, 14], [14, 46, -25], [-25, 54, 6], [6, 54, -25], [-25, 46, 14], [14, 38, -37], [-37, 36, 15], [15, 54, -10], [-10, 46, 35], [35, 24, -21]] (m)c.f.e: [1, -58, 1, -1, 1, -5, 3, -1, 3, -2, 9, -2, 3, -1, 3, -5, 1, -1] number of reduced forms: 64 partition: [14, 14, 18, 18] ============================== d: 881 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 7, 11, 1, 2, 1, 3, 1, 4, 1, 1, 1, 1, 4, 1, 3, 1, 2, 1, 11, 7, 2, 1, 58] Pell solution, x^2- 881 y^2= -1 : [106316171432, 3581882825] ---------- 46 cycle: [[13, 7, -16], [-16, 25, 4], [4, 23, -22], [-22, 21, 5], [5, 29, -2], [-2, 27, 19], [19, 11, -10], [-10, 29, 1], [1, 29, -10], [-10, 11, 19], [19, 27, -2], [-2, 29, 5], [5, 21, -22], [-22, 23, 4], [4, 25, -16], [-16, 7, 13], [13, 19, -10], [-10, 21, 11], [11, 23, -8], [-8, 25, 8], [8, 23, -11], [-11, 21, 10], [10, 19, -13], [-13, 7, 16], [16, 25, -4], [-4, 23, 22], [22, 21, -5], [-5, 29, 2], [2, 27, -19], [-19, 11, 10], [10, 29, -1], [-1, 29, 10], [10, 11, -19], [-19, 27, 2], [2, 29, -5], [-5, 21, 22], [22, 23, -4], [-4, 25, 16], [16, 7, -13], [-13, 19, 10], [10, 21, -11], [-11, 23, 8], [8, 25, -8], [-8, 23, 11], [11, 21, -10], [-10, 19, 13]] (m)c.f.e: [-1, 6, -1, 5, -14, 1, -2, 29, -2, 1, -14, 5, -1, 6, -1, 1, -2, 2, -3, 3, -2, 2, -1, 1, -6, 1, -5, 14, -1, 2, -29, 2, -1, 14, -5, 1, -6, 1, -1, 2, -2, 3, -3, 2, -2, 1] number of reduced forms: 46 partition: [46] ============================== d: 883 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 1, 19, 4, 5, 6, 2, 2, 2, 1, 2, 1, 1, 2, 8, 9, 1, 3, 1, 2, 29, 2, 1, 3, 1, 9, 8, 2, 1, 1, 2, 1, 2, 2, 2, 6, 5, 4, 19, 1, 1, 2, 1, 58] Pell solution, x^2- 883 y^2= 1 : [34878475759617272473442, 1173754162936357802169] ---------- 46 cycle: [[26, 10, -33], [-33, 56, 3], [3, 58, -14], [-14, 54, 11], [11, 56, -9], [-9, 52, 23], [23, 40, -21], [-21, 44, 19], [19, 32, -33], [-33, 34, 18], [18, 38, -29], [-29, 20, 27], [27, 34, -22], [-22, 54, 7], [7, 58, -6], [-6, 50, 43], [43, 36, -13], [-13, 42, 34], [34, 26, -21], [-21, 58, 2], [2, 58, -21], [-21, 26, 34], [34, 42, -13], [-13, 36, 43], [43, 50, -6], [-6, 58, 7], [7, 54, -22], [-22, 34, 27], [27, 20, -29], [-29, 38, 18], [18, 34, -33], [-33, 32, 19], [19, 44, -21], [-21, 40, 23], [23, 52, -9], [-9, 56, 11], [11, 54, -14], [-14, 58, 3], [3, 56, -33], [-33, 10, 26], [26, 42, -17], [-17, 26, 42], [42, 58, -1], [-1, 58, 42], [42, 26, -17], [-17, 42, 26]] (m)c.f.e: [-1, 19, -4, 5, -6, 2, -2, 2, -1, 2, -1, 1, -2, 8, -9, 1, -3, 1, -2, 29, -2, 1, -3, 1, -9, 8, -2, 1, -1, 2, -1, 2, -2, 2, -6, 5, -4, 19, -1, 1, -2, 1, -58, 1, -2, 1] 46 cycle: [[-26, 10, 33], [33, 56, -3], [-3, 58, 14], [14, 54, -11], [-11, 56, 9], [9, 52, -23], [-23, 40, 21], [21, 44, -19], [-19, 32, 33], [33, 34, -18], [-18, 38, 29], [29, 20, -27], [-27, 34, 22], [22, 54, -7], [-7, 58, 6], [6, 50, -43], [-43, 36, 13], [13, 42, -34], [-34, 26, 21], [21, 58, -2], [-2, 58, 21], [21, 26, -34], [-34, 42, 13], [13, 36, -43], [-43, 50, 6], [6, 58, -7], [-7, 54, 22], [22, 34, -27], [-27, 20, 29], [29, 38, -18], [-18, 34, 33], [33, 32, -19], [-19, 44, 21], [21, 40, -23], [-23, 52, 9], [9, 56, -11], [-11, 54, 14], [14, 58, -3], [-3, 56, 33], [33, 10, -26], [-26, 42, 17], [17, 26, -42], [-42, 58, 1], [1, 58, -42], [-42, 26, 17], [17, 42, -26]] (m)c.f.e: [1, -19, 4, -5, 6, -2, 2, -2, 1, -2, 1, -1, 2, -8, 9, -1, 3, -1, 2, -29, 2, -1, 3, -1, 9, -8, 2, -1, 1, -2, 1, -2, 2, -2, 6, -5, 4, -19, 1, -1, 2, -1, 58, -1, 2, -1] number of reduced forms: 92 partition: [46, 46] ============================== d: 885 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 1, 58] Pell solution, x^2- 885 y^2= 1 : [119, 4] ---------- 4 cycle: [[11, 15, -15], [-15, 15, 11], [11, 29, -1], [-1, 29, 11]] (m)c.f.e: [-1, 2, -29, 2] 4 cycle: [[-11, 15, 15], [15, 15, -11], [-11, 29, 1], [1, 29, -11]] (m)c.f.e: [1, -2, 29, -2] 4 cycle: [[5, 25, -13], [-13, 27, 3], [3, 27, -13], [-13, 25, 5]] (m)c.f.e: [-2, 9, -2, 5] 4 cycle: [[-5, 25, 13], [13, 27, -3], [-3, 27, 13], [13, 25, -5]] (m)c.f.e: [2, -9, 2, -5] number of reduced forms: 16 partition: [4, 4, 4, 4] ============================== d: 886 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 3, 1, 2, 1, 1, 5, 2, 1, 1, 1, 9, 3, 2, 1, 1, 19, 3, 1, 11, 6, 1, 1, 7, 1, 28, 1, 7, 1, 1, 6, 11, 1, 3, 19, 1, 1, 2, 3, 9, 1, 1, 1, 2, 5, 1, 1, 2, 1, 3, 3, 1, 58] Pell solution, x^2- 886 y^2= 1 : [7743524593057655851637765, 260148796464024194850378] ---------- 54 cycle: [[29, 8, -30], [-30, 52, 7], [7, 46, -51], [-51, 56, 2], [2, 56, -51], [-51, 46, 7], [7, 52, -30], [-30, 8, 29], [29, 50, -9], [-9, 58, 5], [5, 52, -42], [-42, 32, 15], [15, 58, -3], [-3, 56, 34], [34, 12, -25], [-25, 38, 21], [21, 46, -17], [-17, 56, 6], [6, 52, -35], [-35, 18, 23], [23, 28, -30], [-30, 32, 21], [21, 52, -10], [-10, 48, 31], [31, 14, -27], [-27, 40, 18], [18, 32, -35], [-35, 38, 15], [15, 52, -14], [-14, 32, 45], [45, 58, -1], [-1, 58, 45], [45, 32, -14], [-14, 52, 15], [15, 38, -35], [-35, 32, 18], [18, 40, -27], [-27, 14, 31], [31, 48, -10], [-10, 52, 21], [21, 32, -30], [-30, 28, 23], [23, 18, -35], [-35, 52, 6], [6, 56, -17], [-17, 46, 21], [21, 38, -25], [-25, 12, 34], [34, 56, -3], [-3, 58, 15], [15, 32, -42], [-42, 52, 5], [5, 58, -9], [-9, 50, 29]] (m)c.f.e: [-1, 7, -1, 28, -1, 7, -1, 1, -6, 11, -1, 3, -19, 1, -1, 2, -3, 9, -1, 1, -1, 2, -5, 1, -1, 2, -1, 3, -3, 1, -58, 1, -3, 3, -1, 2, -1, 1, -5, 2, -1, 1, -1, 9, -3, 2, -1, 1, -19, 3, -1, 11, -6, 1] 54 cycle: [[-29, 8, 30], [30, 52, -7], [-7, 46, 51], [51, 56, -2], [-2, 56, 51], [51, 46, -7], [-7, 52, 30], [30, 8, -29], [-29, 50, 9], [9, 58, -5], [-5, 52, 42], [42, 32, -15], [-15, 58, 3], [3, 56, -34], [-34, 12, 25], [25, 38, -21], [-21, 46, 17], [17, 56, -6], [-6, 52, 35], [35, 18, -23], [-23, 28, 30], [30, 32, -21], [-21, 52, 10], [10, 48, -31], [-31, 14, 27], [27, 40, -18], [-18, 32, 35], [35, 38, -15], [-15, 52, 14], [14, 32, -45], [-45, 58, 1], [1, 58, -45], [-45, 32, 14], [14, 52, -15], [-15, 38, 35], [35, 32, -18], [-18, 40, 27], [27, 14, -31], [-31, 48, 10], [10, 52, -21], [-21, 32, 30], [30, 28, -23], [-23, 18, 35], [35, 52, -6], [-6, 56, 17], [17, 46, -21], [-21, 38, 25], [25, 12, -34], [-34, 56, 3], [3, 58, -15], [-15, 32, 42], [42, 52, -5], [-5, 58, 9], [9, 50, -29]] (m)c.f.e: [1, -7, 1, -28, 1, -7, 1, -1, 6, -11, 1, -3, 19, -1, 1, -2, 3, -9, 1, -1, 1, -2, 5, -1, 1, -2, 1, -3, 3, -1, 58, -1, 3, -3, 1, -2, 1, -1, 5, -2, 1, -1, 1, -9, 3, -2, 1, -1, 19, -3, 1, -11, 6, -1] number of reduced forms: 108 partition: [54, 54] ============================== d: 887 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 1, 1, 2, 29, 2, 1, 1, 3, 1, 58] Pell solution, x^2- 887 y^2= 1 : [469224, 15755] ---------- 12 cycle: [[26, 18, -31], [-31, 44, 13], [13, 34, -46], [-46, 58, 1], [1, 58, -46], [-46, 34, 13], [13, 44, -31], [-31, 18, 26], [26, 34, -23], [-23, 58, 2], [2, 58, -23], [-23, 34, 26]] (m)c.f.e: [-1, 3, -1, 58, -1, 3, -1, 1, -2, 29, -2, 1] 12 cycle: [[-26, 18, 31], [31, 44, -13], [-13, 34, 46], [46, 58, -1], [-1, 58, 46], [46, 34, -13], [-13, 44, 31], [31, 18, -26], [-26, 34, 23], [23, 58, -2], [-2, 58, 23], [23, 34, -26]] (m)c.f.e: [1, -3, 1, -58, 1, -3, 1, -1, 2, -29, 2, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 889 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 2, 3, 1, 1, 11, 2, 1, 3, 19, 1, 1, 1, 1, 6, 1, 5, 1, 3, 8, 3, 1, 5, 1, 6, 1, 1, 1, 1, 19, 3, 1, 2, 11, 1, 1, 3, 2, 4, 1, 58] Pell solution, x^2- 889 y^2= 1 : [13231974717803657215, 443786188413453504] ---------- 42 cycle: [[14, 7, -15], [-15, 23, 6], [6, 25, -11], [-11, 19, 12], [12, 29, -1], [-1, 29, 12], [12, 19, -11], [-11, 25, 6], [6, 23, -15], [-15, 7, 14], [14, 21, -8], [-8, 27, 5], [5, 23, -18], [-18, 13, 10], [10, 27, -4], [-4, 29, 3], [3, 25, -22], [-22, 19, 6], [6, 29, -2], [-2, 27, 20], [20, 13, -9], [-9, 23, 10], [10, 17, -15], [-15, 13, 12], [12, 11, -16], [-16, 21, 7], [7, 21, -16], [-16, 11, 12], [12, 13, -15], [-15, 17, 10], [10, 23, -9], [-9, 13, 20], [20, 27, -2], [-2, 29, 6], [6, 19, -22], [-22, 25, 3], [3, 29, -4], [-4, 27, 10], [10, 13, -18], [-18, 23, 5], [5, 27, -8], [-8, 21, 14]] (m)c.f.e: [-1, 4, -2, 2, -29, 2, -2, 4, -1, 1, -3, 5, -1, 2, -7, 9, -1, 4, -14, 1, -2, 2, -1, 1, -1, 3, -1, 1, -1, 2, -2, 1, -14, 4, -1, 9, -7, 2, -1, 5, -3, 1] 42 cycle: [[-14, 7, 15], [15, 23, -6], [-6, 25, 11], [11, 19, -12], [-12, 29, 1], [1, 29, -12], [-12, 19, 11], [11, 25, -6], [-6, 23, 15], [15, 7, -14], [-14, 21, 8], [8, 27, -5], [-5, 23, 18], [18, 13, -10], [-10, 27, 4], [4, 29, -3], [-3, 25, 22], [22, 19, -6], [-6, 29, 2], [2, 27, -20], [-20, 13, 9], [9, 23, -10], [-10, 17, 15], [15, 13, -12], [-12, 11, 16], [16, 21, -7], [-7, 21, 16], [16, 11, -12], [-12, 13, 15], [15, 17, -10], [-10, 23, 9], [9, 13, -20], [-20, 27, 2], [2, 29, -6], [-6, 19, 22], [22, 25, -3], [-3, 29, 4], [4, 27, -10], [-10, 13, 18], [18, 23, -5], [-5, 27, 8], [8, 21, -14]] (m)c.f.e: [1, -4, 2, -2, 29, -2, 2, -4, 1, -1, 3, -5, 1, -2, 7, -9, 1, -4, 14, -1, 2, -2, 1, -1, 1, -3, 1, -1, 1, -2, 2, -1, 14, -4, 1, -9, 7, -2, 1, -5, 3, -1] number of reduced forms: 84 partition: [42, 42] ============================== d: 890 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 1, 58] Pell solution, x^2- 890 y^2= 1 : [179, 6] ---------- 8 cycle: [[29, 14, -29], [-29, 44, 14], [14, 40, -35], [-35, 30, 19], [19, 46, -19], [-19, 30, 35], [35, 40, -14], [-14, 44, 29]] (m)c.f.e: [-1, 3, -1, 2, -2, 1, -3, 1] 8 cycle: [[-29, 14, 29], [29, 44, -14], [-14, 40, 35], [35, 30, -19], [-19, 46, 19], [19, 30, -35], [-35, 40, 14], [14, 44, -29]] (m)c.f.e: [1, -3, 1, -2, 2, -1, 3, -1] 4 cycle: [[23, 38, -23], [-23, 54, 7], [7, 58, -7], [-7, 54, 23]] (m)c.f.e: [-2, 8, -8, 2] 4 cycle: [[-23, 38, 23], [23, 54, -7], [-7, 58, 7], [7, 54, -23]] (m)c.f.e: [2, -8, 8, -2] 4 cycle: [[10, 40, -49], [-49, 58, 1], [1, 58, -49], [-49, 40, 10]] (m)c.f.e: [-1, 58, -1, 4] 4 cycle: [[-10, 40, 49], [49, 58, -1], [-1, 58, 49], [49, 40, -10]] (m)c.f.e: [1, -58, 1, -4] 4 cycle: [[5, 50, -53], [-53, 56, 2], [2, 56, -53], [-53, 50, 5]] (m)c.f.e: [-1, 28, -1, 10] 4 cycle: [[-5, 50, 53], [53, 56, -2], [-2, 56, 53], [53, 50, -5]] (m)c.f.e: [1, -28, 1, -10] number of reduced forms: 40 partition: [4, 4, 4, 4, 4, 4, 8, 8] ============================== d: 893 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 7, 1, 1, 4, 14, 1, 2, 1, 1, 2, 1, 1, 2, 1, 14, 4, 1, 1, 7, 1, 58] Pell solution, x^2- 893 y^2= 1 : [6091434999, 203842100] ---------- 6 cycle: [[7, 19, -19], [-19, 19, 7], [7, 23, -13], [-13, 29, 1], [1, 29, -13], [-13, 23, 7]] (m)c.f.e: [-1, 3, -2, 29, -2, 3] 6 cycle: [[-7, 19, 19], [19, 19, -7], [-7, 23, 13], [13, 29, -1], [-1, 29, 13], [13, 23, -7]] (m)c.f.e: [1, -3, 2, -29, 2, -3] number of reduced forms: 12 partition: [6, 6] ============================== d: 894 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 8, 1, 58] Pell solution, x^2- 894 y^2= 1 : [299, 10] ---------- 8 cycle: [[26, 12, -33], [-33, 54, 5], [5, 56, -22], [-22, 32, 29], [29, 26, -25], [-25, 24, 30], [30, 36, -19], [-19, 40, 26]] (m)c.f.e: [-1, 11, -2, 1, -1, 1, -2, 1] 8 cycle: [[-26, 12, 33], [33, 54, -5], [-5, 56, 22], [22, 32, -29], [-29, 26, 25], [25, 24, -30], [-30, 36, 19], [19, 40, -26]] (m)c.f.e: [1, -11, 2, -1, 1, -1, 2, -1] 8 cycle: [[33, 12, -26], [-26, 40, 19], [19, 36, -30], [-30, 24, 25], [25, 26, -29], [-29, 32, 22], [22, 56, -5], [-5, 54, 33]] (m)c.f.e: [-1, 2, -1, 1, -1, 2, -11, 1] 8 cycle: [[-33, 12, 26], [26, 40, -19], [-19, 36, 30], [30, 24, -25], [-25, 26, 29], [29, 32, -22], [-22, 56, 5], [5, 54, -33]] (m)c.f.e: [1, -2, 1, -1, 1, -2, 11, -1] 6 cycle: [[15, 36, -38], [-38, 40, 13], [13, 38, -41], [-41, 44, 10], [10, 56, -11], [-11, 54, 15]] (m)c.f.e: [-1, 3, -1, 5, -5, 3] 6 cycle: [[-15, 36, 38], [38, 40, -13], [-13, 38, 41], [41, 44, -10], [-10, 56, 11], [11, 54, -15]] (m)c.f.e: [1, -3, 1, -5, 5, -3] 6 cycle: [[38, 36, -15], [-15, 54, 11], [11, 56, -10], [-10, 44, 41], [41, 38, -13], [-13, 40, 38]] (m)c.f.e: [-3, 5, -5, 1, -3, 1] 6 cycle: [[-38, 36, 15], [15, 54, -11], [-11, 56, 10], [10, 44, -41], [-41, 38, 13], [13, 40, -38]] (m)c.f.e: [3, -5, 5, -1, 3, -1] 4 cycle: [[6, 48, -53], [-53, 58, 1], [1, 58, -53], [-53, 48, 6]] (m)c.f.e: [-1, 58, -1, 8] 4 cycle: [[-6, 48, 53], [53, 58, -1], [-1, 58, 53], [53, 48, -6]] (m)c.f.e: [1, -58, 1, -8] 4 cycle: [[3, 54, -55], [-55, 56, 2], [2, 56, -55], [-55, 54, 3]] (m)c.f.e: [-1, 28, -1, 18] 4 cycle: [[-3, 54, 55], [55, 56, -2], [-2, 56, 55], [55, 54, -3]] (m)c.f.e: [1, -28, 1, -18] number of reduced forms: 72 partition: [4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8] ============================== d: 895 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 10, 1, 58] Pell solution, x^2- 895 y^2= 1 : [359, 12] ---------- 6 cycle: [[29, 10, -30], [-30, 50, 9], [9, 58, -6], [-6, 50, 45], [45, 40, -11], [-11, 48, 29]] (m)c.f.e: [-1, 6, -9, 1, -4, 1] 6 cycle: [[-29, 10, 30], [30, 50, -9], [-9, 58, 6], [6, 50, -45], [-45, 40, 11], [11, 48, -29]] (m)c.f.e: [1, -6, 9, -1, 4, -1] 6 cycle: [[30, 10, -29], [-29, 48, 11], [11, 40, -45], [-45, 50, 6], [6, 58, -9], [-9, 50, 30]] (m)c.f.e: [-1, 4, -1, 9, -6, 1] 6 cycle: [[-30, 10, 29], [29, 48, -11], [-11, 40, 45], [45, 50, -6], [-6, 58, 9], [9, 50, -30]] (m)c.f.e: [1, -4, 1, -9, 6, -1] 6 cycle: [[22, 18, -37], [-37, 56, 3], [3, 58, -18], [-18, 50, 15], [15, 40, -33], [-33, 26, 22]] (m)c.f.e: [-1, 19, -3, 3, -1, 1] 6 cycle: [[-22, 18, 37], [37, 56, -3], [-3, 58, 18], [18, 50, -15], [-15, 40, 33], [33, 26, -22]] (m)c.f.e: [1, -19, 3, -3, 1, -1] 6 cycle: [[37, 18, -22], [-22, 26, 33], [33, 40, -15], [-15, 50, 18], [18, 58, -3], [-3, 56, 37]] (m)c.f.e: [-1, 1, -3, 3, -19, 1] 6 cycle: [[-37, 18, 22], [22, 26, -33], [-33, 40, 15], [15, 50, -18], [-18, 58, 3], [3, 56, -37]] (m)c.f.e: [1, -1, 3, -3, 19, -1] 4 cycle: [[5, 50, -54], [-54, 58, 1], [1, 58, -54], [-54, 50, 5]] (m)c.f.e: [-1, 58, -1, 10] 4 cycle: [[-5, 50, 54], [54, 58, -1], [-1, 58, 54], [54, 50, -5]] (m)c.f.e: [1, -58, 1, -10] 4 cycle: [[10, 50, -27], [-27, 58, 2], [2, 58, -27], [-27, 50, 10]] (m)c.f.e: [-2, 29, -2, 5] 4 cycle: [[-10, 50, 27], [27, 58, -2], [-2, 58, 27], [27, 50, -10]] (m)c.f.e: [2, -29, 2, -5] number of reduced forms: 64 partition: [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6] ============================== d: 897 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 18, 1, 58] Pell solution, x^2- 897 y^2= 1 : [599, 20] ---------- 10 cycle: [[12, 9, -17], [-17, 25, 4], [4, 23, -23], [-23, 23, 4], [4, 25, -17], [-17, 9, 12], [12, 15, -14], [-14, 13, 13], [13, 13, -14], [-14, 15, 12]] (m)c.f.e: [-1, 6, -1, 6, -1, 1, -1, 1, -1, 1] 10 cycle: [[-12, 9, 17], [17, 25, -4], [-4, 23, 23], [23, 23, -4], [-4, 25, 17], [17, 9, -12], [-12, 15, 14], [14, 13, -13], [-13, 13, 14], [14, 15, -12]] (m)c.f.e: [1, -6, 1, -6, 1, -1, 1, -1, 1, -1] 6 cycle: [[8, 15, -21], [-21, 27, 2], [2, 29, -7], [-7, 27, 6], [6, 21, -19], [-19, 17, 8]] (m)c.f.e: [-1, 14, -4, 4, -1, 2] 6 cycle: [[-8, 15, 21], [21, 27, -2], [-2, 29, 7], [7, 27, -6], [-6, 21, 19], [19, 17, -8]] (m)c.f.e: [1, -14, 4, -4, 1, -2] 6 cycle: [[21, 15, -8], [-8, 17, 19], [19, 21, -6], [-6, 27, 7], [7, 29, -2], [-2, 27, 21]] (m)c.f.e: [-2, 1, -4, 4, -14, 1] 6 cycle: [[-21, 15, 8], [8, 17, -19], [-19, 21, 6], [6, 27, -7], [-7, 29, 2], [2, 27, -21]] (m)c.f.e: [2, -1, 4, -4, 14, -1] 4 cycle: [[3, 27, -14], [-14, 29, 1], [1, 29, -14], [-14, 27, 3]] (m)c.f.e: [-2, 29, -2, 9] 4 cycle: [[-3, 27, 14], [14, 29, -1], [-1, 29, 14], [14, 27, -3]] (m)c.f.e: [2, -29, 2, -9] number of reduced forms: 52 partition: [4, 4, 6, 6, 6, 6, 10, 10] ============================== d: 898 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 28, 1, 58] Pell solution, x^2- 898 y^2= 1 : [899, 30] ---------- 6 cycle: [[21, 20, -38], [-38, 56, 3], [3, 58, -19], [-19, 56, 6], [6, 52, -37], [-37, 22, 21]] (m)c.f.e: [-1, 19, -3, 9, -1, 1] 6 cycle: [[-21, 20, 38], [38, 56, -3], [-3, 58, 19], [19, 56, -6], [-6, 52, 37], [37, 22, -21]] (m)c.f.e: [1, -19, 3, -9, 1, -1] 6 cycle: [[38, 20, -21], [-21, 22, 37], [37, 52, -6], [-6, 56, 19], [19, 58, -3], [-3, 56, 38]] (m)c.f.e: [-1, 1, -9, 3, -19, 1] 6 cycle: [[-38, 20, 21], [21, 22, -37], [-37, 52, 6], [6, 56, -19], [-19, 58, 3], [3, 56, -38]] (m)c.f.e: [1, -1, 9, -3, 19, -1] 10 cycle: [[26, 24, -29], [-29, 34, 21], [21, 50, -13], [-13, 54, 13], [13, 50, -21], [-21, 34, 29], [29, 24, -26], [-26, 28, 27], [27, 26, -27], [-27, 28, 26]] (m)c.f.e: [-1, 2, -4, 4, -2, 1, -1, 1, -1, 1] 10 cycle: [[-26, 24, 29], [29, 34, -21], [-21, 50, 13], [13, 54, -13], [-13, 50, 21], [21, 34, -29], [-29, 24, 26], [26, 28, -27], [-27, 26, 27], [27, 28, -26]] (m)c.f.e: [1, -2, 4, -4, 2, -1, 1, -1, 1, -1] 8 cycle: [[18, 28, -39], [-39, 50, 7], [7, 48, -46], [-46, 44, 9], [9, 46, -41], [-41, 36, 14], [14, 48, -23], [-23, 44, 18]] (m)c.f.e: [-1, 7, -1, 5, -1, 3, -2, 2] 8 cycle: [[-18, 28, 39], [39, 50, -7], [-7, 48, 46], [46, 44, -9], [-9, 46, 41], [41, 36, -14], [-14, 48, 23], [23, 44, -18]] (m)c.f.e: [1, -7, 1, -5, 1, -3, 2, -2] 8 cycle: [[39, 28, -18], [-18, 44, 23], [23, 48, -14], [-14, 36, 41], [41, 46, -9], [-9, 44, 46], [46, 48, -7], [-7, 50, 39]] (m)c.f.e: [-2, 2, -3, 1, -5, 1, -7, 1] 8 cycle: [[-39, 28, 18], [18, 44, -23], [-23, 48, 14], [14, 36, -41], [-41, 46, 9], [9, 44, -46], [-46, 48, 7], [7, 50, -39]] (m)c.f.e: [2, -2, 3, -1, 5, -1, 7, -1] 4 cycle: [[2, 56, -57], [-57, 58, 1], [1, 58, -57], [-57, 56, 2]] (m)c.f.e: [-1, 58, -1, 28] 4 cycle: [[-2, 56, 57], [57, 58, -1], [-1, 58, 57], [57, 56, -2]] (m)c.f.e: [1, -58, 1, -28] number of reduced forms: 84 partition: [4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10] ============================== d: 899 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 58] Pell solution, x^2- 899 y^2= 1 : [30, 1] ---------- 4 cycle: [[25, 14, -34], [-34, 54, 5], [5, 56, -23], [-23, 36, 25]] (m)c.f.e: [-1, 11, -2, 1] 4 cycle: [[-25, 14, 34], [34, 54, -5], [-5, 56, 23], [23, 36, -25]] (m)c.f.e: [1, -11, 2, -1] 4 cycle: [[34, 14, -25], [-25, 36, 23], [23, 56, -5], [-5, 54, 34]] (m)c.f.e: [-1, 2, -11, 1] 4 cycle: [[-34, 14, 25], [25, 36, -23], [-23, 56, 5], [5, 54, -34]] (m)c.f.e: [1, -2, 11, -1] 4 cycle: [[19, 28, -37], [-37, 46, 10], [10, 54, -17], [-17, 48, 19]] (m)c.f.e: [-1, 5, -3, 2] 4 cycle: [[-19, 28, 37], [37, 46, -10], [-10, 54, 17], [17, 48, -19]] (m)c.f.e: [1, -5, 3, -2] 4 cycle: [[37, 28, -19], [-19, 48, 17], [17, 54, -10], [-10, 46, 37]] (m)c.f.e: [-2, 3, -5, 1] 4 cycle: [[-37, 28, 19], [19, 48, -17], [-17, 54, 10], [10, 46, -37]] (m)c.f.e: [2, -3, 5, -1] 2 cycle: [[1, 58, -58], [-58, 58, 1]] (m)c.f.e: [-1, 58] 2 cycle: [[-1, 58, 58], [58, 58, -1]] (m)c.f.e: [1, -58] 2 cycle: [[2, 58, -29], [-29, 58, 2]] (m)c.f.e: [-2, 29] 2 cycle: [[-2, 58, 29], [29, 58, -2]] (m)c.f.e: [2, -29] number of reduced forms: 40 partition: [2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4] ============================== d: 901 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [60] Pell solution, x^2- 901 y^2= -1 : [30, 1] ---------- 6 cycle: [[15, 1, -15], [-15, 29, 1], [1, 29, -15], [-15, 1, 15], [15, 29, -1], [-1, 29, 15]] (m)c.f.e: [-1, 29, -1, 1, -29, 1] 14 cycle: [[13, 11, -15], [-15, 19, 9], [9, 17, -17], [-17, 17, 9], [9, 19, -15], [-15, 11, 13], [13, 15, -13], [-13, 11, 15], [15, 19, -9], [-9, 17, 17], [17, 17, -9], [-9, 19, 15], [15, 11, -13], [-13, 15, 13]] (m)c.f.e: [-1, 2, -1, 2, -1, 1, -1, 1, -2, 1, -2, 1, -1, 1] 6 cycle: [[5, 21, -23], [-23, 25, 3], [3, 29, -5], [-5, 21, 23], [23, 25, -3], [-3, 29, 5]] (m)c.f.e: [-1, 9, -5, 1, -9, 5] 6 cycle: [[23, 21, -5], [-5, 29, 3], [3, 25, -23], [-23, 21, 5], [5, 29, -3], [-3, 25, 23]] (m)c.f.e: [-5, 9, -1, 5, -9, 1] number of reduced forms: 32 partition: [6, 6, 6, 14] ============================== d: 902 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [30, 60] Pell solution, x^2- 902 y^2= 1 : [901, 30] ---------- 10 cycle: [[17, 32, -38], [-38, 44, 11], [11, 44, -38], [-38, 32, 17], [17, 36, -34], [-34, 32, 19], [19, 44, -22], [-22, 44, 19], [19, 32, -34], [-34, 36, 17]] (m)c.f.e: [-1, 4, -1, 2, -1, 2, -2, 2, -1, 2] 10 cycle: [[-17, 32, 38], [38, 44, -11], [-11, 44, 38], [38, 32, -17], [-17, 36, 34], [34, 32, -19], [-19, 44, 22], [22, 44, -19], [-19, 32, 34], [34, 36, -17]] (m)c.f.e: [1, -4, 1, -2, 1, -2, 2, -2, 1, -2] 2 cycle: [[1, 60, -2], [-2, 60, 1]] (m)c.f.e: [-30, 60] 2 cycle: [[-1, 60, 2], [2, 60, -1]] (m)c.f.e: [30, -60] number of reduced forms: 24 partition: [2, 2, 10, 10] ============================== d: 903 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [20, 60] Pell solution, x^2- 903 y^2= 1 : [601, 20] ---------- 6 cycle: [[29, 4, -31], [-31, 58, 2], [2, 58, -31], [-31, 4, 29], [29, 54, -6], [-6, 54, 29]] (m)c.f.e: [-1, 29, -1, 1, -9, 1] 6 cycle: [[-29, 4, 31], [31, 58, -2], [-2, 58, 31], [31, 4, -29], [-29, 54, 6], [6, 54, -29]] (m)c.f.e: [1, -29, 1, -1, 9, -1] 10 cycle: [[23, 22, -34], [-34, 46, 11], [11, 42, -42], [-42, 42, 11], [11, 46, -34], [-34, 22, 23], [23, 24, -33], [-33, 42, 14], [14, 42, -33], [-33, 24, 23]] (m)c.f.e: [-1, 4, -1, 4, -1, 1, -1, 3, -1, 1] 10 cycle: [[-23, 22, 34], [34, 46, -11], [-11, 42, 42], [42, 42, -11], [-11, 46, 34], [34, 22, -23], [-23, 24, 33], [33, 42, -14], [-14, 42, 33], [33, 24, -23]] (m)c.f.e: [1, -4, 1, -4, 1, -1, 1, -3, 1, -1] 6 cycle: [[21, 42, -22], [-22, 46, 17], [17, 56, -7], [-7, 56, 17], [17, 46, -22], [-22, 42, 21]] (m)c.f.e: [-2, 3, -8, 3, -2, 2] 6 cycle: [[-21, 42, 22], [22, 46, -17], [-17, 56, 7], [7, 56, -17], [-17, 46, 22], [22, 42, -21]] (m)c.f.e: [2, -3, 8, -3, 2, -2] 2 cycle: [[1, 60, -3], [-3, 60, 1]] (m)c.f.e: [-20, 60] 2 cycle: [[-1, 60, 3], [3, 60, -1]] (m)c.f.e: [20, -60] number of reduced forms: 48 partition: [2, 2, 6, 6, 6, 6, 10, 10] ============================== d: 905 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [12, 60] Pell solution, x^2- 905 y^2= 1 : [361, 12] ---------- 6 cycle: [[14, 3, -16], [-16, 29, 1], [1, 29, -16], [-16, 3, 14], [14, 25, -5], [-5, 25, 14]] (m)c.f.e: [-1, 29, -1, 1, -5, 1] 6 cycle: [[-14, 3, 16], [16, 29, -1], [-1, 29, 16], [16, 3, -14], [-14, 25, 5], [5, 25, -14]] (m)c.f.e: [1, -29, 1, -1, 5, -1] 6 cycle: [[14, 11, -14], [-14, 17, 11], [11, 27, -4], [-4, 29, 4], [4, 27, -11], [-11, 17, 14]] (m)c.f.e: [-1, 2, -7, 7, -2, 1] 6 cycle: [[-14, 11, 14], [14, 17, -11], [-11, 27, 4], [4, 29, -4], [-4, 27, 11], [11, 17, -14]] (m)c.f.e: [1, -2, 7, -7, 2, -1] 6 cycle: [[10, 15, -17], [-17, 19, 8], [8, 29, -2], [-2, 27, 22], [22, 17, -7], [-7, 25, 10]] (m)c.f.e: [-1, 3, -14, 1, -3, 2] 6 cycle: [[-10, 15, 17], [17, 19, -8], [-8, 29, 2], [2, 27, -22], [-22, 17, 7], [7, 25, -10]] (m)c.f.e: [1, -3, 14, -1, 3, -2] 6 cycle: [[17, 15, -10], [-10, 25, 7], [7, 17, -22], [-22, 27, 2], [2, 29, -8], [-8, 19, 17]] (m)c.f.e: [-2, 3, -1, 14, -3, 1] 6 cycle: [[-17, 15, 10], [10, 25, -7], [-7, 17, 22], [22, 27, -2], [-2, 29, 8], [8, 19, -17]] (m)c.f.e: [2, -3, 1, -14, 3, -1] number of reduced forms: 48 partition: [6, 6, 6, 6, 6, 6, 6, 6] ============================== d: 906 number of cycles (narrow class number): 12 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 60] Pell solution, x^2- 906 y^2= 1 : [301, 10] ---------- 6 cycle: [[29, 12, -30], [-30, 48, 11], [11, 40, -46], [-46, 52, 5], [5, 58, -13], [-13, 46, 29]] (m)c.f.e: [-1, 4, -1, 11, -4, 1] 6 cycle: [[-29, 12, 30], [30, 48, -11], [-11, 40, 46], [46, 52, -5], [-5, 58, 13], [13, 46, -29]] (m)c.f.e: [1, -4, 1, -11, 4, -1] 6 cycle: [[30, 12, -29], [-29, 46, 13], [13, 58, -5], [-5, 52, 46], [46, 40, -11], [-11, 48, 30]] (m)c.f.e: [-1, 4, -11, 1, -4, 1] 6 cycle: [[-30, 12, 29], [29, 46, -13], [-13, 58, 5], [5, 52, -46], [-46, 40, 11], [11, 48, -30]] (m)c.f.e: [1, -4, 11, -1, 4, -1] 8 cycle: [[25, 18, -33], [-33, 48, 10], [10, 52, -23], [-23, 40, 22], [22, 48, -15], [-15, 42, 31], [31, 20, -26], [-26, 32, 25]] (m)c.f.e: [-1, 5, -2, 2, -3, 1, -1, 1] 8 cycle: [[-25, 18, 33], [33, 48, -10], [-10, 52, 23], [23, 40, -22], [-22, 48, 15], [15, 42, -31], [-31, 20, 26], [26, 32, -25]] (m)c.f.e: [1, -5, 2, -2, 3, -1, 1, -1] 8 cycle: [[33, 18, -25], [-25, 32, 26], [26, 20, -31], [-31, 42, 15], [15, 48, -22], [-22, 40, 23], [23, 52, -10], [-10, 48, 33]] (m)c.f.e: [-1, 1, -1, 3, -2, 2, -5, 1] 8 cycle: [[-33, 18, 25], [25, 32, -26], [-26, 20, 31], [31, 42, -15], [-15, 48, 22], [22, 40, -23], [-23, 52, 10], [10, 48, -33]] (m)c.f.e: [1, -1, 1, -3, 2, -2, 5, -1] 2 cycle: [[1, 60, -6], [-6, 60, 1]] (m)c.f.e: [-10, 60] 2 cycle: [[-1, 60, 6], [6, 60, -1]] (m)c.f.e: [10, -60] 2 cycle: [[2, 60, -3], [-3, 60, 2]] (m)c.f.e: [-20, 30] 2 cycle: [[-2, 60, 3], [3, 60, -2]] (m)c.f.e: [20, -30] number of reduced forms: 64 partition: [2, 2, 2, 2, 6, 6, 6, 6, 8, 8, 8, 8] ============================== d: 907 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [8, 1, 1, 2, 2, 1, 19, 2, 1, 2, 5, 9, 1, 5, 1, 3, 1, 3, 1, 1, 29, 1, 1, 3, 1, 3, 1, 5, 1, 9, 5, 2, 1, 2, 19, 1, 2, 2, 1, 1, 8, 60] Pell solution, x^2- 907 y^2= 1 : [123823410343073497682, 4111488857741309517] ---------- 42 cycle: [[27, 8, -33], [-33, 58, 2], [2, 58, -33], [-33, 8, 27], [27, 46, -14], [-14, 38, 39], [39, 40, -13], [-13, 38, 42], [42, 46, -9], [-9, 44, 47], [47, 50, -6], [-6, 58, 11], [11, 52, -21], [-21, 32, 31], [31, 30, -22], [-22, 58, 3], [3, 56, -41], [-41, 26, 18], [18, 46, -21], [-21, 38, 26], [26, 14, -33], [-33, 52, 7], [7, 60, -1], [-1, 60, 7], [7, 52, -33], [-33, 14, 26], [26, 38, -21], [-21, 46, 18], [18, 26, -41], [-41, 56, 3], [3, 58, -22], [-22, 30, 31], [31, 32, -21], [-21, 52, 11], [11, 58, -6], [-6, 50, 47], [47, 44, -9], [-9, 46, 42], [42, 38, -13], [-13, 40, 39], [39, 38, -14], [-14, 46, 27]] (m)c.f.e: [-1, 29, -1, 1, -3, 1, -3, 1, -5, 1, -9, 5, -2, 1, -2, 19, -1, 2, -2, 1, -1, 8, -60, 8, -1, 1, -2, 2, -1, 19, -2, 1, -2, 5, -9, 1, -5, 1, -3, 1, -3, 1] 42 cycle: [[-27, 8, 33], [33, 58, -2], [-2, 58, 33], [33, 8, -27], [-27, 46, 14], [14, 38, -39], [-39, 40, 13], [13, 38, -42], [-42, 46, 9], [9, 44, -47], [-47, 50, 6], [6, 58, -11], [-11, 52, 21], [21, 32, -31], [-31, 30, 22], [22, 58, -3], [-3, 56, 41], [41, 26, -18], [-18, 46, 21], [21, 38, -26], [-26, 14, 33], [33, 52, -7], [-7, 60, 1], [1, 60, -7], [-7, 52, 33], [33, 14, -26], [-26, 38, 21], [21, 46, -18], [-18, 26, 41], [41, 56, -3], [-3, 58, 22], [22, 30, -31], [-31, 32, 21], [21, 52, -11], [-11, 58, 6], [6, 50, -47], [-47, 44, 9], [9, 46, -42], [-42, 38, 13], [13, 40, -39], [-39, 38, 14], [14, 46, -27]] (m)c.f.e: [1, -29, 1, -1, 3, -1, 3, -1, 5, -1, 9, -5, 2, -1, 2, -19, 1, -2, 2, -1, 1, -8, 60, -8, 1, -1, 2, -2, 1, -19, 2, -1, 2, -5, 9, -1, 5, -1, 3, -1, 3, -1] number of reduced forms: 84 partition: [42, 42] ============================== d: 910 number of cycles (narrow class number): 16 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 60] Pell solution, x^2- 910 y^2= 1 : [181, 6] ---------- 6 cycle: [[27, 20, -30], [-30, 40, 17], [17, 28, -42], [-42, 56, 3], [3, 58, -23], [-23, 34, 27]] (m)c.f.e: [-1, 2, -1, 19, -2, 1] 6 cycle: [[-27, 20, 30], [30, 40, -17], [-17, 28, 42], [42, 56, -3], [-3, 58, 23], [23, 34, -27]] (m)c.f.e: [1, -2, 1, -19, 2, -1] 6 cycle: [[30, 20, -27], [-27, 34, 23], [23, 58, -3], [-3, 56, 42], [42, 28, -17], [-17, 40, 30]] (m)c.f.e: [-1, 2, -19, 1, -2, 1] 6 cycle: [[-30, 20, 27], [27, 34, -23], [-23, 58, 3], [3, 56, -42], [-42, 28, 17], [17, 40, -30]] (m)c.f.e: [1, -2, 19, -1, 2, -1] 6 cycle: [[19, 26, -39], [-39, 52, 6], [6, 56, -21], [-21, 28, 34], [34, 40, -15], [-15, 50, 19]] (m)c.f.e: [-1, 9, -2, 1, -3, 2] 6 cycle: [[-19, 26, 39], [39, 52, -6], [-6, 56, 21], [21, 28, -34], [-34, 40, 15], [15, 50, -19]] (m)c.f.e: [1, -9, 2, -1, 3, -2] 6 cycle: [[39, 26, -19], [-19, 50, 15], [15, 40, -34], [-34, 28, 21], [21, 56, -6], [-6, 52, 39]] (m)c.f.e: [-2, 3, -1, 2, -9, 1] 6 cycle: [[-39, 26, 19], [19, 50, -15], [-15, 40, 34], [34, 28, -21], [-21, 56, 6], [6, 52, -39]] (m)c.f.e: [2, -3, 1, -2, 9, -1] 4 cycle: [[9, 52, -26], [-26, 52, 9], [9, 56, -14], [-14, 56, 9]] (m)c.f.e: [-2, 6, -4, 6] 4 cycle: [[-9, 52, 26], [26, 52, -9], [-9, 56, 14], [14, 56, -9]] (m)c.f.e: [2, -6, 4, -6] 4 cycle: [[13, 52, -18], [-18, 56, 7], [7, 56, -18], [-18, 52, 13]] (m)c.f.e: [-3, 8, -3, 4] 4 cycle: [[-13, 52, 18], [18, 56, -7], [-7, 56, 18], [18, 52, -13]] (m)c.f.e: [3, -8, 3, -4] 2 cycle: [[1, 60, -10], [-10, 60, 1]] (m)c.f.e: [-6, 60] 2 cycle: [[-1, 60, 10], [10, 60, -1]] (m)c.f.e: [6, -60] 2 cycle: [[2, 60, -5], [-5, 60, 2]] (m)c.f.e: [-12, 30] 2 cycle: [[-2, 60, 5], [5, 60, -2]] (m)c.f.e: [12, -30] number of reduced forms: 72 partition: [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6] ============================== d: 911 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 2, 8, 5, 1, 11, 4, 4, 2, 1, 1, 29, 1, 1, 2, 4, 4, 11, 1, 5, 8, 2, 5, 60] Pell solution, x^2- 911 y^2= 1 : [371832584927520, 12319363142953] ---------- 24 cycle: [[25, 12, -35], [-35, 58, 2], [2, 58, -35], [-35, 12, 25], [25, 38, -22], [-22, 50, 13], [13, 54, -14], [-14, 58, 5], [5, 52, -47], [-47, 42, 10], [10, 58, -7], [-7, 54, 26], [26, 50, -11], [-11, 60, 1], [1, 60, -11], [-11, 50, 26], [26, 54, -7], [-7, 58, 10], [10, 42, -47], [-47, 52, 5], [5, 58, -14], [-14, 54, 13], [13, 50, -22], [-22, 38, 25]] (m)c.f.e: [-1, 29, -1, 1, -2, 4, -4, 11, -1, 5, -8, 2, -5, 60, -5, 2, -8, 5, -1, 11, -4, 4, -2, 1] 24 cycle: [[-25, 12, 35], [35, 58, -2], [-2, 58, 35], [35, 12, -25], [-25, 38, 22], [22, 50, -13], [-13, 54, 14], [14, 58, -5], [-5, 52, 47], [47, 42, -10], [-10, 58, 7], [7, 54, -26], [-26, 50, 11], [11, 60, -1], [-1, 60, 11], [11, 50, -26], [-26, 54, 7], [7, 58, -10], [-10, 42, 47], [47, 52, -5], [-5, 58, 14], [14, 54, -13], [-13, 50, 22], [22, 38, -25]] (m)c.f.e: [1, -29, 1, -1, 2, -4, 4, -11, 1, -5, 8, -2, 5, -60, 5, -2, 8, -5, 1, -11, 4, -4, 2, -1] number of reduced forms: 48 partition: [24, 24] ============================== d: 913 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 1, 1, 2, 1, 1, 6, 7, 2, 2, 19, 1, 2, 1, 4, 1, 2, 1, 19, 2, 2, 7, 6, 1, 1, 2, 1, 1, 1, 4, 60] Pell solution, x^2- 913 y^2= 1 : [515734243080407, 17068312251564] ---------- 32 cycle: [[12, 7, -18], [-18, 29, 1], [1, 29, -18], [-18, 7, 12], [12, 17, -13], [-13, 9, 16], [16, 23, -6], [-6, 25, 12], [12, 23, -8], [-8, 25, 9], [9, 29, -2], [-2, 27, 23], [23, 19, -6], [-6, 29, 3], [3, 25, -24], [-24, 23, 4], [4, 25, -18], [-18, 11, 11], [11, 11, -18], [-18, 25, 4], [4, 23, -24], [-24, 25, 3], [3, 29, -6], [-6, 19, 23], [23, 27, -2], [-2, 29, 9], [9, 25, -8], [-8, 23, 12], [12, 25, -6], [-6, 23, 16], [16, 9, -13], [-13, 17, 12]] (m)c.f.e: [-1, 29, -1, 1, -1, 1, -4, 2, -3, 3, -14, 1, -4, 9, -1, 6, -1, 1, -1, 6, -1, 9, -4, 1, -14, 3, -3, 2, -4, 1, -1, 1] 32 cycle: [[-12, 7, 18], [18, 29, -1], [-1, 29, 18], [18, 7, -12], [-12, 17, 13], [13, 9, -16], [-16, 23, 6], [6, 25, -12], [-12, 23, 8], [8, 25, -9], [-9, 29, 2], [2, 27, -23], [-23, 19, 6], [6, 29, -3], [-3, 25, 24], [24, 23, -4], [-4, 25, 18], [18, 11, -11], [-11, 11, 18], [18, 25, -4], [-4, 23, 24], [24, 25, -3], [-3, 29, 6], [6, 19, -23], [-23, 27, 2], [2, 29, -9], [-9, 25, 8], [8, 23, -12], [-12, 25, 6], [6, 23, -16], [-16, 9, 13], [13, 17, -12]] (m)c.f.e: [1, -29, 1, -1, 1, -1, 4, -2, 3, -3, 14, -1, 4, -9, 1, -6, 1, -1, 1, -6, 1, -9, 4, -1, 14, -3, 3, -2, 4, -1, 1, -1] number of reduced forms: 64 partition: [32, 32] ============================== d: 914 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 3, 3, 4, 60] Pell solution, x^2- 914 y^2= -1 : [5593, 185] ---------- 14 cycle: [[25, 16, -34], [-34, 52, 7], [7, 60, -2], [-2, 60, 7], [7, 52, -34], [-34, 16, 25], [25, 34, -25], [-25, 16, 34], [34, 52, -7], [-7, 60, 2], [2, 60, -7], [-7, 52, 34], [34, 16, -25], [-25, 34, 25]] (m)c.f.e: [-1, 8, -30, 8, -1, 1, -1, 1, -8, 30, -8, 1, -1, 1] 18 cycle: [[22, 20, -37], [-37, 54, 5], [5, 56, -26], [-26, 48, 13], [13, 56, -10], [-10, 44, 43], [43, 42, -11], [-11, 46, 35], [35, 24, -22], [-22, 20, 37], [37, 54, -5], [-5, 56, 26], [26, 48, -13], [-13, 56, 10], [10, 44, -43], [-43, 42, 11], [11, 46, -35], [-35, 24, 22]] (m)c.f.e: [-1, 11, -2, 4, -5, 1, -4, 1, -1, 1, -11, 2, -4, 5, -1, 4, -1, 1] 18 cycle: [[37, 20, -22], [-22, 24, 35], [35, 46, -11], [-11, 42, 43], [43, 44, -10], [-10, 56, 13], [13, 48, -26], [-26, 56, 5], [5, 54, -37], [-37, 20, 22], [22, 24, -35], [-35, 46, 11], [11, 42, -43], [-43, 44, 10], [10, 56, -13], [-13, 48, 26], [26, 56, -5], [-5, 54, 37]] (m)c.f.e: [-1, 1, -4, 1, -5, 4, -2, 11, -1, 1, -1, 4, -1, 5, -4, 2, -11, 1] 10 cycle: [[17, 50, -17], [-17, 52, 14], [14, 60, -1], [-1, 60, 14], [14, 52, -17], [-17, 50, 17], [17, 52, -14], [-14, 60, 1], [1, 60, -14], [-14, 52, 17]] (m)c.f.e: [-3, 4, -60, 4, -3, 3, -4, 60, -4, 3] number of reduced forms: 60 partition: [10, 14, 18, 18] ============================== d: 915 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 60] Pell solution, x^2- 915 y^2= 1 : [121, 4] ---------- 6 cycle: [[29, 8, -31], [-31, 54, 6], [6, 54, -31], [-31, 8, 29], [29, 50, -10], [-10, 50, 29]] (m)c.f.e: [-1, 9, -1, 1, -5, 1] 6 cycle: [[-29, 8, 31], [31, 54, -6], [-6, 54, 31], [31, 8, -29], [-29, 50, 10], [10, 50, -29]] (m)c.f.e: [1, -9, 1, -1, 5, -1] 6 cycle: [[23, 16, -37], [-37, 58, 2], [2, 58, -37], [-37, 16, 23], [23, 30, -30], [-30, 30, 23]] (m)c.f.e: [-1, 29, -1, 1, -1, 1] 6 cycle: [[-23, 16, 37], [37, 58, -2], [-2, 58, 37], [37, 16, -23], [-23, 30, 30], [30, 30, -23]] (m)c.f.e: [1, -29, 1, -1, 1, -1] 2 cycle: [[1, 60, -15], [-15, 60, 1]] (m)c.f.e: [-4, 60] 2 cycle: [[-1, 60, 15], [15, 60, -1]] (m)c.f.e: [4, -60] 2 cycle: [[3, 60, -5], [-5, 60, 3]] (m)c.f.e: [-12, 20] 2 cycle: [[-3, 60, 5], [5, 60, -3]] (m)c.f.e: [12, -20] number of reduced forms: 32 partition: [2, 2, 2, 2, 6, 6, 6, 6] ============================== d: 917 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 4, 1, 14, 3, 8, 3, 14, 1, 4, 1, 1, 3, 60] Pell solution, x^2- 917 y^2= 1 : [823604599, 27197820] ---------- 8 cycle: [[11, 9, -19], [-19, 29, 1], [1, 29, -19], [-19, 9, 11], [11, 13, -17], [-17, 21, 7], [7, 21, -17], [-17, 13, 11]] (m)c.f.e: [-1, 29, -1, 1, -1, 3, -1, 1] 8 cycle: [[-11, 9, 19], [19, 29, -1], [-1, 29, 19], [19, 9, -11], [-11, 13, 17], [17, 21, -7], [-7, 21, 17], [17, 13, -11]] (m)c.f.e: [1, -29, 1, -1, 1, -3, 1, -1] number of reduced forms: 16 partition: [8, 8] ============================== d: 919 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 5, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 19, 2, 3, 1, 1, 4, 9, 1, 7, 1, 3, 6, 2, 11, 1, 1, 1, 29, 1, 1, 1, 11, 2, 6, 3, 1, 7, 1, 9, 4, 1, 1, 3, 2, 19, 1, 3, 2, 1, 1, 1, 2, 1, 2, 1, 5, 3, 60] Pell solution, x^2- 919 y^2= 1 : [4481603010937119451551263720, 147834442396536759781499589] ---------- 60 cycle: [[29, 14, -30], [-30, 46, 13], [13, 58, -6], [-6, 50, 49], [49, 48, -7], [-7, 50, 42], [42, 34, -15], [-15, 56, 9], [9, 52, -27], [-27, 56, 5], [5, 54, -38], [-38, 22, 21], [21, 20, -39], [-39, 58, 2], [2, 58, -39], [-39, 20, 21], [21, 22, -38], [-38, 54, 5], [5, 56, -27], [-27, 52, 9], [9, 56, -15], [-15, 34, 42], [42, 50, -7], [-7, 48, 49], [49, 50, -6], [-6, 58, 13], [13, 46, -30], [-30, 14, 29], [29, 44, -15], [-15, 46, 26], [26, 58, -3], [-3, 56, 45], [45, 34, -14], [-14, 50, 21], [21, 34, -30], [-30, 26, 25], [25, 24, -31], [-31, 38, 18], [18, 34, -35], [-35, 36, 17], [17, 32, -39], [-39, 46, 10], [10, 54, -19], [-19, 60, 1], [1, 60, -19], [-19, 54, 10], [10, 46, -39], [-39, 32, 17], [17, 36, -35], [-35, 34, 18], [18, 38, -31], [-31, 24, 25], [25, 26, -30], [-30, 34, 21], [21, 50, -14], [-14, 34, 45], [45, 56, -3], [-3, 58, 26], [26, 46, -15], [-15, 44, 29]] (m)c.f.e: [-1, 4, -9, 1, -7, 1, -3, 6, -2, 11, -1, 1, -1, 29, -1, 1, -1, 11, -2, 6, -3, 1, -7, 1, -9, 4, -1, 1, -3, 2, -19, 1, -3, 2, -1, 1, -1, 2, -1, 2, -1, 5, -3, 60, -3, 5, -1, 2, -1, 2, -1, 1, -1, 2, -3, 1, -19, 2, -3, 1] 60 cycle: [[-29, 14, 30], [30, 46, -13], [-13, 58, 6], [6, 50, -49], [-49, 48, 7], [7, 50, -42], [-42, 34, 15], [15, 56, -9], [-9, 52, 27], [27, 56, -5], [-5, 54, 38], [38, 22, -21], [-21, 20, 39], [39, 58, -2], [-2, 58, 39], [39, 20, -21], [-21, 22, 38], [38, 54, -5], [-5, 56, 27], [27, 52, -9], [-9, 56, 15], [15, 34, -42], [-42, 50, 7], [7, 48, -49], [-49, 50, 6], [6, 58, -13], [-13, 46, 30], [30, 14, -29], [-29, 44, 15], [15, 46, -26], [-26, 58, 3], [3, 56, -45], [-45, 34, 14], [14, 50, -21], [-21, 34, 30], [30, 26, -25], [-25, 24, 31], [31, 38, -18], [-18, 34, 35], [35, 36, -17], [-17, 32, 39], [39, 46, -10], [-10, 54, 19], [19, 60, -1], [-1, 60, 19], [19, 54, -10], [-10, 46, 39], [39, 32, -17], [-17, 36, 35], [35, 34, -18], [-18, 38, 31], [31, 24, -25], [-25, 26, 30], [30, 34, -21], [-21, 50, 14], [14, 34, -45], [-45, 56, 3], [3, 58, -26], [-26, 46, 15], [15, 44, -29]] (m)c.f.e: [1, -4, 9, -1, 7, -1, 3, -6, 2, -11, 1, -1, 1, -29, 1, -1, 1, -11, 2, -6, 3, -1, 7, -1, 9, -4, 1, -1, 3, -2, 19, -1, 3, -2, 1, -1, 1, -2, 1, -2, 1, -5, 3, -60, 3, -5, 1, -2, 1, -2, 1, -1, 1, -2, 3, -1, 19, -2, 3, -1] number of reduced forms: 120 partition: [60, 60] ============================== d: 921 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 6, 1, 11, 3, 1, 2, 2, 3, 1, 1, 1, 1, 1, 8, 20, 8, 1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 11, 1, 6, 1, 2, 60] Pell solution, x^2- 921 y^2= 1 : [2522057712835735, 83104627139412] ---------- 34 cycle: [[14, 5, -16], [-16, 27, 3], [3, 27, -16], [-16, 5, 14], [14, 23, -7], [-7, 19, 20], [20, 21, -6], [-6, 27, 8], [8, 21, -15], [-15, 9, 14], [14, 19, -10], [-10, 21, 12], [12, 27, -4], [-4, 29, 5], [5, 21, -24], [-24, 27, 2], [2, 29, -10], [-10, 11, 20], [20, 29, -1], [-1, 29, 20], [20, 11, -10], [-10, 29, 2], [2, 27, -24], [-24, 21, 5], [5, 29, -4], [-4, 27, 12], [12, 21, -10], [-10, 19, 14], [14, 9, -15], [-15, 21, 8], [8, 27, -6], [-6, 21, 20], [20, 19, -7], [-7, 23, 14]] (m)c.f.e: [-1, 9, -1, 1, -3, 1, -4, 3, -1, 1, -2, 2, -7, 5, -1, 14, -2, 1, -29, 1, -2, 14, -1, 5, -7, 2, -2, 1, -1, 3, -4, 1, -3, 1] 34 cycle: [[-14, 5, 16], [16, 27, -3], [-3, 27, 16], [16, 5, -14], [-14, 23, 7], [7, 19, -20], [-20, 21, 6], [6, 27, -8], [-8, 21, 15], [15, 9, -14], [-14, 19, 10], [10, 21, -12], [-12, 27, 4], [4, 29, -5], [-5, 21, 24], [24, 27, -2], [-2, 29, 10], [10, 11, -20], [-20, 29, 1], [1, 29, -20], [-20, 11, 10], [10, 29, -2], [-2, 27, 24], [24, 21, -5], [-5, 29, 4], [4, 27, -12], [-12, 21, 10], [10, 19, -14], [-14, 9, 15], [15, 21, -8], [-8, 27, 6], [6, 21, -20], [-20, 19, 7], [7, 23, -14]] (m)c.f.e: [1, -9, 1, -1, 3, -1, 4, -3, 1, -1, 2, -2, 7, -5, 1, -14, 2, -1, 29, -1, 2, -14, 1, -5, 7, -2, 2, -1, 1, -3, 4, -1, 3, -1] number of reduced forms: 68 partition: [34, 34] ============================== d: 922 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 2, 1, 9, 2, 1, 1, 6, 6, 1, 1, 2, 9, 1, 2, 1, 2, 60] Pell solution, x^2- 922 y^2= -1 : [419288307, 13808525] ---------- 38 cycle: [[26, 16, -33], [-33, 50, 9], [9, 58, -9], [-9, 50, 33], [33, 16, -26], [-26, 36, 23], [23, 56, -6], [-6, 52, 41], [41, 30, -17], [-17, 38, 33], [33, 28, -22], [-22, 60, 1], [1, 60, -22], [-22, 28, 33], [33, 38, -17], [-17, 30, 41], [41, 52, -6], [-6, 56, 23], [23, 36, -26], [-26, 16, 33], [33, 50, -9], [-9, 58, 9], [9, 50, -33], [-33, 16, 26], [26, 36, -23], [-23, 56, 6], [6, 52, -41], [-41, 30, 17], [17, 38, -33], [-33, 28, 22], [22, 60, -1], [-1, 60, 22], [22, 28, -33], [-33, 38, 17], [17, 30, -41], [-41, 52, 6], [6, 56, -23], [-23, 36, 26]] (m)c.f.e: [-1, 6, -6, 1, -1, 2, -9, 1, -2, 1, -2, 60, -2, 1, -2, 1, -9, 2, -1, 1, -6, 6, -1, 1, -2, 9, -1, 2, -1, 2, -60, 2, -1, 2, -1, 9, -2, 1] 34 cycle: [[29, 18, -29], [-29, 40, 18], [18, 32, -37], [-37, 42, 13], [13, 36, -46], [-46, 56, 3], [3, 58, -27], [-27, 50, 11], [11, 60, -2], [-2, 60, 11], [11, 50, -27], [-27, 58, 3], [3, 56, -46], [-46, 36, 13], [13, 42, -37], [-37, 32, 18], [18, 40, -29], [-29, 18, 29], [29, 40, -18], [-18, 32, 37], [37, 42, -13], [-13, 36, 46], [46, 56, -3], [-3, 58, 27], [27, 50, -11], [-11, 60, 2], [2, 60, -11], [-11, 50, 27], [27, 58, -3], [-3, 56, 46], [46, 36, -13], [-13, 42, 37], [37, 32, -18], [-18, 40, 29]] (m)c.f.e: [-1, 2, -1, 3, -1, 19, -2, 5, -30, 5, -2, 19, -1, 3, -1, 2, -1, 1, -2, 1, -3, 1, -19, 2, -5, 30, -5, 2, -19, 1, -3, 1, -2, 1] number of reduced forms: 72 partition: [34, 38] ============================== d: 923 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 1, 2, 60] Pell solution, x^2- 923 y^2= 1 : [638, 21] ---------- 6 cycle: [[19, 24, -41], [-41, 58, 2], [2, 58, -41], [-41, 24, 19], [19, 52, -13], [-13, 52, 19]] (m)c.f.e: [-1, 29, -1, 2, -4, 2] 6 cycle: [[-19, 24, 41], [41, 58, -2], [-2, 58, 41], [41, 24, -19], [-19, 52, 13], [13, 52, -19]] (m)c.f.e: [1, -29, 1, -2, 4, -2] 6 cycle: [[26, 26, -29], [-29, 32, 23], [23, 60, -1], [-1, 60, 23], [23, 32, -29], [-29, 26, 26]] (m)c.f.e: [-1, 2, -60, 2, -1, 1] 6 cycle: [[-26, 26, 29], [29, 32, -23], [-23, 60, 1], [1, 60, -23], [-23, 32, 29], [29, 26, -26]] (m)c.f.e: [1, -2, 60, -2, 1, -1] number of reduced forms: 24 partition: [6, 6, 6, 6] ============================== d: 926 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 3, 11, 1, 7, 1, 3, 2, 5, 1, 1, 1, 4, 30, 4, 1, 1, 1, 5, 2, 3, 1, 7, 1, 11, 3, 2, 60] Pell solution, x^2- 926 y^2= 1 : [304560297142335, 10008472361032] ---------- 28 cycle: [[23, 22, -35], [-35, 48, 10], [10, 52, -25], [-25, 48, 14], [14, 36, -43], [-43, 50, 7], [7, 48, -50], [-50, 52, 5], [5, 58, -17], [-17, 44, 26], [26, 60, -1], [-1, 60, 26], [26, 44, -17], [-17, 58, 5], [5, 52, -50], [-50, 48, 7], [7, 50, -43], [-43, 36, 14], [14, 48, -25], [-25, 52, 10], [10, 48, -35], [-35, 22, 23], [23, 24, -34], [-34, 44, 13], [13, 60, -2], [-2, 60, 13], [13, 44, -34], [-34, 24, 23]] (m)c.f.e: [-1, 5, -2, 3, -1, 7, -1, 11, -3, 2, -60, 2, -3, 11, -1, 7, -1, 3, -2, 5, -1, 1, -1, 4, -30, 4, -1, 1] 28 cycle: [[-23, 22, 35], [35, 48, -10], [-10, 52, 25], [25, 48, -14], [-14, 36, 43], [43, 50, -7], [-7, 48, 50], [50, 52, -5], [-5, 58, 17], [17, 44, -26], [-26, 60, 1], [1, 60, -26], [-26, 44, 17], [17, 58, -5], [-5, 52, 50], [50, 48, -7], [-7, 50, 43], [43, 36, -14], [-14, 48, 25], [25, 52, -10], [-10, 48, 35], [35, 22, -23], [-23, 24, 34], [34, 44, -13], [-13, 60, 2], [2, 60, -13], [-13, 44, 34], [34, 24, -23]] (m)c.f.e: [1, -5, 2, -3, 1, -7, 1, -11, 3, -2, 60, -2, 3, -11, 1, -7, 1, -3, 2, -5, 1, -1, 1, -4, 30, -4, 1, -1] number of reduced forms: 56 partition: [28, 28] ============================== d: 929 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 11, 1, 2, 3, 2, 7, 5, 2, 2, 5, 7, 2, 3, 2, 1, 11, 2, 60] Pell solution, x^2- 929 y^2= -1 : [81317086468, 2667927065] ---------- 50 cycle: [[10, 13, -19], [-19, 25, 4], [4, 23, -25], [-25, 27, 2], [2, 29, -11], [-11, 15, 16], [16, 17, -10], [-10, 23, 10], [10, 17, -16], [-16, 15, 11], [11, 29, -2], [-2, 27, 25], [25, 23, -4], [-4, 25, 19], [19, 13, -10], [-10, 27, 5], [5, 23, -20], [-20, 17, 8], [8, 15, -22], [-22, 29, 1], [1, 29, -22], [-22, 15, 8], [8, 17, -20], [-20, 23, 5], [5, 27, -10], [-10, 13, 19], [19, 25, -4], [-4, 23, 25], [25, 27, -2], [-2, 29, 11], [11, 15, -16], [-16, 17, 10], [10, 23, -10], [-10, 17, 16], [16, 15, -11], [-11, 29, 2], [2, 27, -25], [-25, 23, 4], [4, 25, -19], [-19, 13, 10], [10, 27, -5], [-5, 23, 20], [20, 17, -8], [-8, 15, 22], [22, 29, -1], [-1, 29, 22], [22, 15, -8], [-8, 17, 20], [20, 23, -5], [-5, 27, 10]] (m)c.f.e: [-1, 6, -1, 14, -2, 1, -2, 2, -1, 2, -14, 1, -6, 1, -2, 5, -1, 2, -1, 29, -1, 2, -1, 5, -2, 1, -6, 1, -14, 2, -1, 2, -2, 1, -2, 14, -1, 6, -1, 2, -5, 1, -2, 1, -29, 1, -2, 1, -5, 2] number of reduced forms: 50 partition: [50] ============================== d: 930 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 60] Pell solution, x^2- 930 y^2= 1 : [61, 2] ---------- 2 cycle: [[1, 60, -30], [-30, 60, 1]] (m)c.f.e: [-2, 60] 2 cycle: [[-1, 60, 30], [30, 60, -1]] (m)c.f.e: [2, -60] 2 cycle: [[2, 60, -15], [-15, 60, 2]] (m)c.f.e: [-4, 30] 2 cycle: [[-2, 60, 15], [15, 60, -2]] (m)c.f.e: [4, -30] 2 cycle: [[3, 60, -10], [-10, 60, 3]] (m)c.f.e: [-6, 20] 2 cycle: [[-3, 60, 10], [10, 60, -3]] (m)c.f.e: [6, -20] 2 cycle: [[5, 60, -6], [-6, 60, 5]] (m)c.f.e: [-10, 12] 2 cycle: [[-5, 60, 6], [6, 60, -5]] (m)c.f.e: [10, -12] number of reduced forms: 16 partition: [2, 2, 2, 2, 2, 2, 2, 2] ============================== d: 933 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 5, 20, 5, 1, 1, 60] Pell solution, x^2- 933 y^2= 1 : [75263, 2464] ---------- 12 cycle: [[13, 7, -17], [-17, 27, 3], [3, 27, -17], [-17, 7, 13], [13, 19, -11], [-11, 25, 7], [7, 17, -23], [-23, 29, 1], [1, 29, -23], [-23, 17, 7], [7, 25, -11], [-11, 19, 13]] (m)c.f.e: [-1, 9, -1, 1, -2, 3, -1, 29, -1, 3, -2, 1] 12 cycle: [[-13, 7, 17], [17, 27, -3], [-3, 27, 17], [17, 7, -13], [-13, 19, 11], [11, 25, -7], [-7, 17, 23], [23, 29, -1], [-1, 29, 23], [23, 17, -7], [-7, 25, 11], [11, 19, -13]] (m)c.f.e: [1, -9, 1, -1, 2, -3, 1, -29, 1, -3, 2, -1] number of reduced forms: 24 partition: [12, 12] ============================== d: 934 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 3, 1, 1, 3, 30, 3, 1, 1, 3, 1, 1, 60] Pell solution, x^2- 934 y^2= 1 : [3034565, 99294] ---------- 14 cycle: [[30, 4, -31], [-31, 58, 3], [3, 56, -50], [-50, 44, 9], [9, 46, -45], [-45, 44, 10], [10, 56, -15], [-15, 34, 43], [43, 52, -6], [-6, 56, 25], [25, 44, -18], [-18, 28, 41], [41, 54, -5], [-5, 56, 30]] (m)c.f.e: [-1, 19, -1, 5, -1, 5, -3, 1, -9, 2, -2, 1, -11, 1] 14 cycle: [[-30, 4, 31], [31, 58, -3], [-3, 56, 50], [50, 44, -9], [-9, 46, 45], [45, 44, -10], [-10, 56, 15], [15, 34, -43], [-43, 52, 6], [6, 56, -25], [-25, 44, 18], [18, 28, -41], [-41, 54, 5], [5, 56, -30]] (m)c.f.e: [1, -19, 1, -5, 1, -5, 3, -1, 9, -2, 2, -1, 11, -1] 14 cycle: [[31, 4, -30], [-30, 56, 5], [5, 54, -41], [-41, 28, 18], [18, 44, -25], [-25, 56, 6], [6, 52, -43], [-43, 34, 15], [15, 56, -10], [-10, 44, 45], [45, 46, -9], [-9, 44, 50], [50, 56, -3], [-3, 58, 31]] (m)c.f.e: [-1, 11, -1, 2, -2, 9, -1, 3, -5, 1, -5, 1, -19, 1] 14 cycle: [[-31, 4, 30], [30, 56, -5], [-5, 54, 41], [41, 28, -18], [-18, 44, 25], [25, 56, -6], [-6, 52, 43], [43, 34, -15], [-15, 56, 10], [10, 44, -45], [-45, 46, 9], [9, 44, -50], [-50, 56, 3], [3, 58, -31]] (m)c.f.e: [1, -11, 1, -2, 2, -9, 1, -3, 5, -1, 5, -1, 19, -1] 14 cycle: [[27, 8, -34], [-34, 60, 1], [1, 60, -34], [-34, 8, 27], [27, 46, -15], [-15, 44, 30], [30, 16, -29], [-29, 42, 17], [17, 60, -2], [-2, 60, 17], [17, 42, -29], [-29, 16, 30], [30, 44, -15], [-15, 46, 27]] (m)c.f.e: [-1, 60, -1, 1, -3, 1, -1, 3, -30, 3, -1, 1, -3, 1] 14 cycle: [[-27, 8, 34], [34, 60, -1], [-1, 60, 34], [34, 8, -27], [-27, 46, 15], [15, 44, -30], [-30, 16, 29], [29, 42, -17], [-17, 60, 2], [2, 60, -17], [-17, 42, 29], [29, 16, -30], [-30, 44, 15], [15, 46, -27]] (m)c.f.e: [1, -60, 1, -1, 3, -1, 1, -3, 30, -3, 1, -1, 3, -1] number of reduced forms: 84 partition: [14, 14, 14, 14, 14, 14] ============================== d: 935 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 2, 1, 1, 60] Pell solution, x^2- 935 y^2= 1 : [1376, 45] ---------- 8 cycle: [[26, 10, -35], [-35, 60, 1], [1, 60, -35], [-35, 10, 26], [26, 42, -19], [-19, 34, 34], [34, 34, -19], [-19, 42, 26]] (m)c.f.e: [-1, 60, -1, 1, -2, 1, -2, 1] 8 cycle: [[-26, 10, 35], [35, 60, -1], [-1, 60, 35], [35, 10, -26], [-26, 42, 19], [19, 34, -34], [-34, 34, 19], [19, 42, -26]] (m)c.f.e: [1, -60, 1, -1, 2, -1, 2, -1] 10 cycle: [[29, 12, -31], [-31, 50, 10], [10, 50, -31], [-31, 12, 29], [29, 46, -14], [-14, 38, 41], [41, 44, -11], [-11, 44, 41], [41, 38, -14], [-14, 46, 29]] (m)c.f.e: [-1, 5, -1, 1, -3, 1, -4, 1, -3, 1] 10 cycle: [[-29, 12, 31], [31, 50, -10], [-10, 50, 31], [31, 12, -29], [-29, 46, 14], [14, 38, -41], [-41, 44, 11], [11, 44, -41], [-41, 38, 14], [14, 46, -29]] (m)c.f.e: [1, -5, 1, -1, 3, -1, 4, -1, 3, -1] 6 cycle: [[22, 22, -37], [-37, 52, 7], [7, 60, -5], [-5, 60, 7], [7, 52, -37], [-37, 22, 22]] (m)c.f.e: [-1, 8, -12, 8, -1, 1] 6 cycle: [[-22, 22, 37], [37, 52, -7], [-7, 60, 5], [5, 60, -7], [-7, 52, 37], [37, 22, -22]] (m)c.f.e: [1, -8, 12, -8, 1, -1] 8 cycle: [[17, 34, -38], [-38, 42, 13], [13, 36, -47], [-47, 58, 2], [2, 58, -47], [-47, 36, 13], [13, 42, -38], [-38, 34, 17]] (m)c.f.e: [-1, 3, -1, 29, -1, 3, -1, 2] 8 cycle: [[-17, 34, 38], [38, 42, -13], [-13, 36, 47], [47, 58, -2], [-2, 58, 47], [47, 36, -13], [-13, 42, 38], [38, 34, -17]] (m)c.f.e: [1, -3, 1, -29, 1, -3, 1, -2] number of reduced forms: 64 partition: [6, 6, 8, 8, 8, 8, 10, 10] ============================== d: 937 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 1, 3, 4, 2, 3, 6, 1, 1, 19, 1, 6, 1, 2, 2, 1, 6, 1, 19, 1, 1, 6, 3, 2, 4, 3, 1, 1, 1, 1, 60] Pell solution, x^2- 937 y^2= -1 : [490226695010796, 16015008052621] ---------- 62 cycle: [[12, 11, -17], [-17, 23, 6], [6, 25, -13], [-13, 27, 4], [4, 29, -6], [-6, 19, 24], [24, 29, -1], [-1, 29, 24], [24, 19, -6], [-6, 29, 4], [4, 27, -13], [-13, 25, 6], [6, 23, -17], [-17, 11, 12], [12, 13, -16], [-16, 19, 9], [9, 17, -18], [-18, 19, 8], [8, 29, -3], [-3, 25, 26], [26, 27, -2], [-2, 29, 12], [12, 19, -12], [-12, 29, 2], [2, 27, -26], [-26, 25, 3], [3, 29, -8], [-8, 19, 18], [18, 17, -9], [-9, 19, 16], [16, 13, -12], [-12, 11, 17], [17, 23, -6], [-6, 25, 13], [13, 27, -4], [-4, 29, 6], [6, 19, -24], [-24, 29, 1], [1, 29, -24], [-24, 19, 6], [6, 29, -4], [-4, 27, 13], [13, 25, -6], [-6, 23, 17], [17, 11, -12], [-12, 13, 16], [16, 19, -9], [-9, 17, 18], [18, 19, -8], [-8, 29, 3], [3, 25, -26], [-26, 27, 2], [2, 29, -12], [-12, 19, 12], [12, 29, -2], [-2, 27, 26], [26, 25, -3], [-3, 29, 8], [8, 19, -18], [-18, 17, 9], [9, 19, -16], [-16, 13, 12]] (m)c.f.e: [-1, 4, -2, 7, -4, 1, -29, 1, -4, 7, -2, 4, -1, 1, -1, 2, -1, 3, -9, 1, -14, 2, -2, 14, -1, 9, -3, 1, -2, 1, -1, 1, -4, 2, -7, 4, -1, 29, -1, 4, -7, 2, -4, 1, -1, 1, -2, 1, -3, 9, -1, 14, -2, 2, -14, 1, -9, 3, -1, 2, -1, 1] number of reduced forms: 62 partition: [62] ============================== d: 938 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 2, 8, 2, 1, 1, 1, 60] Pell solution, x^2- 938 y^2= 1 : [17151, 560] ---------- 10 cycle: [[23, 16, -38], [-38, 60, 1], [1, 60, -38], [-38, 16, 23], [23, 30, -31], [-31, 32, 22], [22, 56, -7], [-7, 56, 22], [22, 32, -31], [-31, 30, 23]] (m)c.f.e: [-1, 60, -1, 1, -1, 2, -8, 2, -1, 1] 10 cycle: [[-23, 16, 38], [38, 60, -1], [-1, 60, 38], [38, 16, -23], [-23, 30, 31], [31, 32, -22], [-22, 56, 7], [7, 56, -22], [-22, 32, 31], [31, 30, -23]] (m)c.f.e: [1, -60, 1, -1, 1, -2, 8, -2, 1, -1] 6 cycle: [[11, 54, -19], [-19, 60, 2], [2, 60, -19], [-19, 54, 11], [11, 56, -14], [-14, 56, 11]] (m)c.f.e: [-3, 30, -3, 5, -4, 5] 6 cycle: [[-11, 54, 19], [19, 60, -2], [-2, 60, 19], [19, 54, -11], [-11, 56, 14], [14, 56, -11]] (m)c.f.e: [3, -30, 3, -5, 4, -5] number of reduced forms: 32 partition: [6, 6, 10, 10] ============================== d: 939 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 1, 4, 20, 4, 1, 1, 1, 60] Pell solution, x^2- 939 y^2= 1 : [122695, 4004] ---------- 12 cycle: [[30, 6, -31], [-31, 56, 5], [5, 54, -42], [-42, 30, 17], [17, 38, -34], [-34, 30, 21], [21, 54, -10], [-10, 46, 41], [41, 36, -15], [-15, 54, 14], [14, 58, -7], [-7, 54, 30]] (m)c.f.e: [-1, 11, -1, 2, -1, 2, -5, 1, -3, 4, -8, 1] 12 cycle: [[-30, 6, 31], [31, 56, -5], [-5, 54, 42], [42, 30, -17], [-17, 38, 34], [34, 30, -21], [-21, 54, 10], [10, 46, -41], [-41, 36, 15], [15, 54, -14], [-14, 58, 7], [7, 54, -30]] (m)c.f.e: [1, -11, 1, -2, 1, -2, 5, -1, 3, -4, 8, -1] 12 cycle: [[31, 6, -30], [-30, 54, 7], [7, 58, -14], [-14, 54, 15], [15, 36, -41], [-41, 46, 10], [10, 54, -21], [-21, 30, 34], [34, 38, -17], [-17, 30, 42], [42, 54, -5], [-5, 56, 31]] (m)c.f.e: [-1, 8, -4, 3, -1, 5, -2, 1, -2, 1, -11, 1] 12 cycle: [[-31, 6, 30], [30, 54, -7], [-7, 58, 14], [14, 54, -15], [-15, 36, 41], [41, 46, -10], [-10, 54, 21], [21, 30, -34], [-34, 38, 17], [17, 30, -42], [-42, 54, 5], [5, 56, -31]] (m)c.f.e: [1, -8, 4, -3, 1, -5, 2, -1, 2, -1, 11, -1] 14 cycle: [[25, 16, -35], [-35, 54, 6], [6, 54, -35], [-35, 16, 25], [25, 34, -26], [-26, 18, 33], [33, 48, -11], [-11, 40, 49], [49, 58, -2], [-2, 58, 49], [49, 40, -11], [-11, 48, 33], [33, 18, -26], [-26, 34, 25]] (m)c.f.e: [-1, 9, -1, 1, -1, 1, -4, 1, -29, 1, -4, 1, -1, 1] 14 cycle: [[-25, 16, 35], [35, 54, -6], [-6, 54, 35], [35, 16, -25], [-25, 34, 26], [26, 18, -33], [-33, 48, 11], [11, 40, -49], [-49, 58, 2], [2, 58, -49], [-49, 40, 11], [11, 48, -33], [-33, 18, 26], [26, 34, -25]] (m)c.f.e: [1, -9, 1, -1, 1, -1, 4, -1, 29, -1, 4, -1, 1, -1] 10 cycle: [[22, 18, -39], [-39, 60, 1], [1, 60, -39], [-39, 18, 22], [22, 26, -35], [-35, 44, 13], [13, 60, -3], [-3, 60, 13], [13, 44, -35], [-35, 26, 22]] (m)c.f.e: [-1, 60, -1, 1, -1, 4, -20, 4, -1, 1] 10 cycle: [[-22, 18, 39], [39, 60, -1], [-1, 60, 39], [39, 18, -22], [-22, 26, 35], [35, 44, -13], [-13, 60, 3], [3, 60, -13], [-13, 44, 35], [35, 26, -22]] (m)c.f.e: [1, -60, 1, -1, 1, -4, 20, -4, 1, -1] number of reduced forms: 96 partition: [10, 10, 12, 12, 12, 12, 14, 14] ============================== d: 941 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 11, 1, 14, 2, 2, 1, 1, 2, 2, 14, 1, 11, 2, 1, 60] Pell solution, x^2- 941 y^2= -1 : [731069390, 23832181] ---------- 10 cycle: [[5, 21, -25], [-25, 29, 1], [1, 29, -25], [-25, 21, 5], [5, 29, -5], [-5, 21, 25], [25, 29, -1], [-1, 29, 25], [25, 21, -5], [-5, 29, 5]] (m)c.f.e: [-1, 29, -1, 5, -5, 1, -29, 1, -5, 5] number of reduced forms: 10 partition: [10] ============================== d: 942 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 4, 20, 4, 2, 1, 60] Pell solution, x^2- 942 y^2= 1 : [106133, 3458] ---------- 8 cycle: [[19, 24, -42], [-42, 60, 1], [1, 60, -42], [-42, 24, 19], [19, 52, -14], [-14, 60, 3], [3, 60, -14], [-14, 52, 19]] (m)c.f.e: [-1, 60, -1, 2, -4, 20, -4, 2] 8 cycle: [[-19, 24, 42], [42, 60, -1], [-1, 60, 42], [42, 24, -19], [-19, 52, 14], [14, 60, -3], [-3, 60, 14], [14, 52, -19]] (m)c.f.e: [1, -60, 1, -2, 4, -20, 4, -2] 8 cycle: [[21, 24, -38], [-38, 52, 7], [7, 60, -6], [-6, 60, 7], [7, 52, -38], [-38, 24, 21], [21, 60, -2], [-2, 60, 21]] (m)c.f.e: [-1, 8, -10, 8, -1, 2, -30, 2] 8 cycle: [[-21, 24, 38], [38, 52, -7], [-7, 60, 6], [6, 60, -7], [-7, 52, 38], [38, 24, -21], [-21, 60, 2], [2, 60, -21]] (m)c.f.e: [1, -8, 10, -8, 1, -2, 30, -2] number of reduced forms: 32 partition: [8, 8, 8, 8] ============================== d: 943 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 2, 2, 2, 1, 60] Pell solution, x^2- 943 y^2= 1 : [737, 24] ---------- 6 cycle: [[27, 10, -34], [-34, 58, 3], [3, 56, -53], [-53, 50, 6], [6, 58, -17], [-17, 44, 27]] (m)c.f.e: [-1, 19, -1, 9, -3, 1] 6 cycle: [[-27, 10, 34], [34, 58, -3], [-3, 56, 53], [53, 50, -6], [-6, 58, 17], [17, 44, -27]] (m)c.f.e: [1, -19, 1, -9, 3, -1] 6 cycle: [[34, 10, -27], [-27, 44, 17], [17, 58, -6], [-6, 50, 53], [53, 56, -3], [-3, 58, 34]] (m)c.f.e: [-1, 3, -9, 1, -19, 1] 6 cycle: [[-34, 10, 27], [27, 44, -17], [-17, 58, 6], [6, 50, -53], [-53, 56, 3], [3, 58, -34]] (m)c.f.e: [1, -3, 9, -1, 19, -1] 6 cycle: [[18, 26, -43], [-43, 60, 1], [1, 60, -43], [-43, 26, 18], [18, 46, -23], [-23, 46, 18]] (m)c.f.e: [-1, 60, -1, 2, -2, 2] 6 cycle: [[-18, 26, 43], [43, 60, -1], [-1, 60, 43], [43, 26, -18], [-18, 46, 23], [23, 46, -18]] (m)c.f.e: [1, -60, 1, -2, 2, -2] 6 cycle: [[9, 44, -51], [-51, 58, 2], [2, 58, -51], [-51, 44, 9], [9, 46, -46], [-46, 46, 9]] (m)c.f.e: [-1, 29, -1, 5, -1, 5] 6 cycle: [[-9, 44, 51], [51, 58, -2], [-2, 58, 51], [51, 44, -9], [-9, 46, 46], [46, 46, -9]] (m)c.f.e: [1, -29, 1, -5, 1, -5] number of reduced forms: 48 partition: [6, 6, 6, 6, 6, 6, 6, 6] ============================== d: 946 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 8, 1, 1, 6, 3, 3, 1, 3, 1, 1, 1, 2, 30, 2, 1, 1, 1, 3, 1, 3, 3, 6, 1, 1, 8, 3, 1, 60] Pell solution, x^2- 946 y^2= 1 : [45225786400145, 1470417148788] ---------- 30 cycle: [[30, 8, -31], [-31, 54, 7], [7, 58, -15], [-15, 32, 46], [46, 60, -1], [-1, 60, 46], [46, 32, -15], [-15, 58, 7], [7, 54, -31], [-31, 8, 30], [30, 52, -9], [-9, 56, 18], [18, 52, -15], [-15, 38, 39], [39, 40, -14], [-14, 44, 33], [33, 22, -25], [-25, 28, 30], [30, 32, -23], [-23, 60, 2], [2, 60, -23], [-23, 32, 30], [30, 28, -25], [-25, 22, 33], [33, 44, -14], [-14, 40, 39], [39, 38, -15], [-15, 52, 18], [18, 56, -9], [-9, 52, 30]] (m)c.f.e: [-1, 8, -3, 1, -60, 1, -3, 8, -1, 1, -6, 3, -3, 1, -3, 1, -1, 1, -2, 30, -2, 1, -1, 1, -3, 1, -3, 3, -6, 1] 30 cycle: [[-30, 8, 31], [31, 54, -7], [-7, 58, 15], [15, 32, -46], [-46, 60, 1], [1, 60, -46], [-46, 32, 15], [15, 58, -7], [-7, 54, 31], [31, 8, -30], [-30, 52, 9], [9, 56, -18], [-18, 52, 15], [15, 38, -39], [-39, 40, 14], [14, 44, -33], [-33, 22, 25], [25, 28, -30], [-30, 32, 23], [23, 60, -2], [-2, 60, 23], [23, 32, -30], [-30, 28, 25], [25, 22, -33], [-33, 44, 14], [14, 40, -39], [-39, 38, 15], [15, 52, -18], [-18, 56, 9], [9, 52, -30]] (m)c.f.e: [1, -8, 3, -1, 60, -1, 3, -8, 1, -1, 6, -3, 3, -1, 3, -1, 1, -1, 2, -30, 2, -1, 1, -1, 3, -1, 3, -3, 6, -1] 30 cycle: [[26, 12, -35], [-35, 58, 3], [3, 56, -54], [-54, 52, 5], [5, 58, -21], [-21, 26, 37], [37, 48, -10], [-10, 52, 27], [27, 56, -6], [-6, 52, 45], [45, 38, -13], [-13, 40, 42], [42, 44, -11], [-11, 44, 42], [42, 40, -13], [-13, 38, 45], [45, 52, -6], [-6, 56, 27], [27, 52, -10], [-10, 48, 37], [37, 26, -21], [-21, 58, 5], [5, 52, -54], [-54, 56, 3], [3, 58, -35], [-35, 12, 26], [26, 40, -21], [-21, 44, 22], [22, 44, -21], [-21, 40, 26]] (m)c.f.e: [-1, 19, -1, 11, -2, 1, -5, 2, -9, 1, -3, 1, -4, 1, -3, 1, -9, 2, -5, 1, -2, 11, -1, 19, -1, 1, -2, 2, -2, 1] 30 cycle: [[-26, 12, 35], [35, 58, -3], [-3, 56, 54], [54, 52, -5], [-5, 58, 21], [21, 26, -37], [-37, 48, 10], [10, 52, -27], [-27, 56, 6], [6, 52, -45], [-45, 38, 13], [13, 40, -42], [-42, 44, 11], [11, 44, -42], [-42, 40, 13], [13, 38, -45], [-45, 52, 6], [6, 56, -27], [-27, 52, 10], [10, 48, -37], [-37, 26, 21], [21, 58, -5], [-5, 52, 54], [54, 56, -3], [-3, 58, 35], [35, 12, -26], [-26, 40, 21], [21, 44, -22], [-22, 44, 21], [21, 40, -26]] (m)c.f.e: [1, -19, 1, -11, 2, -1, 5, -2, 9, -1, 3, -1, 4, -1, 3, -1, 9, -2, 5, -1, 2, -11, 1, -19, 1, -1, 2, -2, 2, -1] number of reduced forms: 120 partition: [30, 30, 30, 30] ============================== d: 947 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 3, 2, 2, 2, 1, 4, 1, 7, 1, 29, 1, 7, 1, 4, 1, 2, 2, 2, 3, 1, 60] Pell solution, x^2- 947 y^2= 1 : [13509645362, 439004487] ---------- 22 cycle: [[19, 30, -38], [-38, 46, 11], [11, 42, -46], [-46, 50, 7], [7, 48, -53], [-53, 58, 2], [2, 58, -53], [-53, 48, 7], [7, 50, -46], [-46, 42, 11], [11, 46, -38], [-38, 30, 19], [19, 46, -22], [-22, 42, 23], [23, 50, -14], [-14, 34, 47], [47, 60, -1], [-1, 60, 47], [47, 34, -14], [-14, 50, 23], [23, 42, -22], [-22, 46, 19]] (m)c.f.e: [-1, 4, -1, 7, -1, 29, -1, 7, -1, 4, -1, 2, -2, 2, -3, 1, -60, 1, -3, 2, -2, 2] 22 cycle: [[-19, 30, 38], [38, 46, -11], [-11, 42, 46], [46, 50, -7], [-7, 48, 53], [53, 58, -2], [-2, 58, 53], [53, 48, -7], [-7, 50, 46], [46, 42, -11], [-11, 46, 38], [38, 30, -19], [-19, 46, 22], [22, 42, -23], [-23, 50, 14], [14, 34, -47], [-47, 60, 1], [1, 60, -47], [-47, 34, 14], [14, 50, -23], [-23, 42, 22], [22, 46, -19]] (m)c.f.e: [1, -4, 1, -7, 1, -29, 1, -7, 1, -4, 1, -2, 2, -2, 3, -1, 60, -1, 3, -2, 2, -2] number of reduced forms: 44 partition: [22, 22] ============================== d: 949 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 4, 6, 1, 1, 1, 4, 2, 14, 1, 19, 1, 1, 1, 1, 19, 1, 14, 2, 4, 1, 1, 1, 6, 4, 1, 60] Pell solution, x^2- 949 y^2= -1 : [17458843558590, 566738044393] ---------- 26 cycle: [[15, 7, -15], [-15, 23, 7], [7, 19, -21], [-21, 23, 5], [5, 27, -11], [-11, 17, 15], [15, 13, -13], [-13, 13, 15], [15, 17, -11], [-11, 27, 5], [5, 23, -21], [-21, 19, 7], [7, 23, -15], [-15, 7, 15], [15, 23, -7], [-7, 19, 21], [21, 23, -5], [-5, 27, 11], [11, 17, -15], [-15, 13, 13], [13, 13, -15], [-15, 17, 11], [11, 27, -5], [-5, 23, 21], [21, 19, -7], [-7, 23, 15]] (m)c.f.e: [-1, 3, -1, 5, -2, 1, -1, 1, -2, 5, -1, 3, -1, 1, -3, 1, -5, 2, -1, 1, -1, 2, -5, 1, -3, 1] 14 cycle: [[3, 25, -27], [-27, 29, 1], [1, 29, -27], [-27, 25, 3], [3, 29, -9], [-9, 25, 9], [9, 29, -3], [-3, 25, 27], [27, 29, -1], [-1, 29, 27], [27, 25, -3], [-3, 29, 9], [9, 25, -9], [-9, 29, 3]] (m)c.f.e: [-1, 29, -1, 9, -3, 3, -9, 1, -29, 1, -9, 3, -3, 9] number of reduced forms: 40 partition: [14, 26] ============================== d: 951 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 5, 5, 2, 3, 1, 1, 1, 9, 1, 1, 1, 3, 2, 5, 5, 1, 60] Pell solution, x^2- 951 y^2= 1 : [224208076, 7270445] ---------- 18 cycle: [[29, 18, -30], [-30, 42, 17], [17, 60, -3], [-3, 60, 17], [17, 42, -30], [-30, 18, 29], [29, 40, -19], [-19, 36, 33], [33, 30, -22], [-22, 58, 5], [5, 52, -55], [-55, 58, 2], [2, 58, -55], [-55, 52, 5], [5, 58, -22], [-22, 30, 33], [33, 36, -19], [-19, 40, 29]] (m)c.f.e: [-1, 3, -20, 3, -1, 1, -2, 1, -2, 11, -1, 29, -1, 11, -2, 1, -2, 1] 18 cycle: [[-29, 18, 30], [30, 42, -17], [-17, 60, 3], [3, 60, -17], [-17, 42, 30], [30, 18, -29], [-29, 40, 19], [19, 36, -33], [-33, 30, 22], [22, 58, -5], [-5, 52, 55], [55, 58, -2], [-2, 58, 55], [55, 52, -5], [-5, 58, 22], [22, 30, -33], [-33, 36, 19], [19, 40, -29]] (m)c.f.e: [1, -3, 20, -3, 1, -1, 2, -1, 2, -11, 1, -29, 1, -11, 2, -1, 2, -1] 18 cycle: [[23, 20, -37], [-37, 54, 6], [6, 54, -37], [-37, 20, 23], [23, 26, -34], [-34, 42, 15], [15, 48, -25], [-25, 52, 11], [11, 58, -10], [-10, 42, 51], [51, 60, -1], [-1, 60, 51], [51, 42, -10], [-10, 58, 11], [11, 52, -25], [-25, 48, 15], [15, 42, -34], [-34, 26, 23]] (m)c.f.e: [-1, 9, -1, 1, -1, 3, -2, 5, -5, 1, -60, 1, -5, 5, -2, 3, -1, 1] 18 cycle: [[-23, 20, 37], [37, 54, -6], [-6, 54, 37], [37, 20, -23], [-23, 26, 34], [34, 42, -15], [-15, 48, 25], [25, 52, -11], [-11, 58, 10], [10, 42, -51], [-51, 60, 1], [1, 60, -51], [-51, 42, 10], [10, 58, -11], [-11, 52, 25], [25, 48, -15], [-15, 42, 34], [34, 26, -23]] (m)c.f.e: [1, -9, 1, -1, 1, -3, 2, -5, 5, -1, 60, -1, 5, -5, 2, -3, 1, -1] number of reduced forms: 72 partition: [18, 18, 18, 18] ============================== d: 953 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 6, 1, 2, 1, 3, 8, 1, 1, 4, 4, 1, 1, 8, 3, 1, 2, 1, 6, 1, 60] Pell solution, x^2- 953 y^2= -1 : [2746864744, 88979677] ---------- 38 cycle: [[13, 11, -16], [-16, 21, 8], [8, 27, -7], [-7, 29, 4], [4, 27, -14], [-14, 29, 2], [2, 27, -28], [-28, 29, 1], [1, 29, -28], [-28, 27, 2], [2, 29, -14], [-14, 27, 4], [4, 29, -7], [-7, 27, 8], [8, 21, -16], [-16, 11, 13], [13, 15, -14], [-14, 13, 14], [14, 15, -13], [-13, 11, 16], [16, 21, -8], [-8, 27, 7], [7, 29, -4], [-4, 27, 14], [14, 29, -2], [-2, 27, 28], [28, 29, -1], [-1, 29, 28], [28, 27, -2], [-2, 29, 14], [14, 27, -4], [-4, 29, 7], [7, 27, -8], [-8, 21, 16], [16, 11, -13], [-13, 15, 14], [14, 13, -14], [-14, 15, 13]] (m)c.f.e: [-1, 3, -4, 7, -2, 14, -1, 29, -1, 14, -2, 7, -4, 3, -1, 1, -1, 1, -1, 1, -3, 4, -7, 2, -14, 1, -29, 1, -14, 2, -7, 4, -3, 1, -1, 1, -1, 1] number of reduced forms: 38 partition: [38] ============================== d: 955 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 9, 3, 6, 1, 1, 5, 12, 5, 1, 1, 6, 3, 9, 1, 60] Pell solution, x^2- 955 y^2= 1 : [2095256249, 67800900] ---------- 16 cycle: [[30, 10, -31], [-31, 52, 9], [9, 56, -19], [-19, 58, 6], [6, 50, -55], [-55, 60, 1], [1, 60, -55], [-55, 50, 6], [6, 58, -19], [-19, 56, 9], [9, 52, -31], [-31, 10, 30], [30, 50, -11], [-11, 60, 5], [5, 60, -11], [-11, 50, 30]] (m)c.f.e: [-1, 6, -3, 9, -1, 60, -1, 9, -3, 6, -1, 1, -5, 12, -5, 1] 16 cycle: [[-30, 10, 31], [31, 52, -9], [-9, 56, 19], [19, 58, -6], [-6, 50, 55], [55, 60, -1], [-1, 60, 55], [55, 50, -6], [-6, 58, 19], [19, 56, -9], [-9, 52, 31], [31, 10, -30], [-30, 50, 11], [11, 60, -5], [-5, 60, 11], [11, 50, -30]] (m)c.f.e: [1, -6, 3, -9, 1, -60, 1, -9, 3, -6, 1, -1, 5, -12, 5, -1] 24 cycle: [[27, 16, -33], [-33, 50, 10], [10, 50, -33], [-33, 16, 27], [27, 38, -22], [-22, 50, 15], [15, 40, -37], [-37, 34, 18], [18, 38, -33], [-33, 28, 23], [23, 18, -38], [-38, 58, 3], [3, 56, -57], [-57, 58, 2], [2, 58, -57], [-57, 56, 3], [3, 58, -38], [-38, 18, 23], [23, 28, -33], [-33, 38, 18], [18, 34, -37], [-37, 40, 15], [15, 50, -22], [-22, 38, 27]] (m)c.f.e: [-1, 5, -1, 1, -2, 3, -1, 2, -1, 1, -1, 19, -1, 29, -1, 19, -1, 1, -1, 2, -1, 3, -2, 1] 24 cycle: [[-27, 16, 33], [33, 50, -10], [-10, 50, 33], [33, 16, -27], [-27, 38, 22], [22, 50, -15], [-15, 40, 37], [37, 34, -18], [-18, 38, 33], [33, 28, -23], [-23, 18, 38], [38, 58, -3], [-3, 56, 57], [57, 58, -2], [-2, 58, 57], [57, 56, -3], [-3, 58, 38], [38, 18, -23], [-23, 28, 33], [33, 38, -18], [-18, 34, 37], [37, 40, -15], [-15, 50, 22], [22, 38, -27]] (m)c.f.e: [1, -5, 1, -1, 2, -3, 1, -2, 1, -1, 1, -19, 1, -29, 1, -19, 1, -1, 1, -2, 1, -3, 2, -1] number of reduced forms: 80 partition: [16, 16, 24, 24] ============================== d: 957 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 14, 2, 14, 1, 60] Pell solution, x^2- 957 y^2= 1 : [14849, 480] ---------- 4 cycle: [[11, 11, -19], [-19, 27, 3], [3, 27, -19], [-19, 11, 11]] (m)c.f.e: [-1, 9, -1, 1] 4 cycle: [[-11, 11, 19], [19, 27, -3], [-3, 27, 19], [19, 11, -11]] (m)c.f.e: [1, -9, 1, -1] 2 cycle: [[1, 29, -29], [-29, 29, 1]] (m)c.f.e: [-1, 29] 2 cycle: [[-1, 29, 29], [29, 29, -1]] (m)c.f.e: [1, -29] number of reduced forms: 12 partition: [2, 2, 4, 4] ============================== d: 958 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 19, 1, 1, 1, 6, 4, 1, 1, 1, 1, 2, 1, 4, 1, 9, 2, 30, 2, 9, 1, 4, 1, 2, 1, 1, 1, 1, 4, 6, 1, 1, 1, 19, 1, 60] Pell solution, x^2- 958 y^2= 1 : [16762522330425599, 541572514048560] ---------- 36 cycle: [[22, 20, -39], [-39, 58, 3], [3, 56, -58], [-58, 60, 1], [1, 60, -58], [-58, 56, 3], [3, 58, -39], [-39, 20, 22], [22, 24, -37], [-37, 50, 9], [9, 58, -13], [-13, 46, 33], [33, 20, -26], [-26, 32, 27], [27, 22, -31], [-31, 40, 18], [18, 32, -39], [-39, 46, 11], [11, 42, -47], [-47, 52, 6], [6, 56, -29], [-29, 60, 2], [2, 60, -29], [-29, 56, 6], [6, 52, -47], [-47, 42, 11], [11, 46, -39], [-39, 32, 18], [18, 40, -31], [-31, 22, 27], [27, 32, -26], [-26, 20, 33], [33, 46, -13], [-13, 58, 9], [9, 50, -37], [-37, 24, 22]] (m)c.f.e: [-1, 19, -1, 60, -1, 19, -1, 1, -1, 6, -4, 1, -1, 1, -1, 2, -1, 4, -1, 9, -2, 30, -2, 9, -1, 4, -1, 2, -1, 1, -1, 1, -4, 6, -1, 1] 36 cycle: [[-22, 20, 39], [39, 58, -3], [-3, 56, 58], [58, 60, -1], [-1, 60, 58], [58, 56, -3], [-3, 58, 39], [39, 20, -22], [-22, 24, 37], [37, 50, -9], [-9, 58, 13], [13, 46, -33], [-33, 20, 26], [26, 32, -27], [-27, 22, 31], [31, 40, -18], [-18, 32, 39], [39, 46, -11], [-11, 42, 47], [47, 52, -6], [-6, 56, 29], [29, 60, -2], [-2, 60, 29], [29, 56, -6], [-6, 52, 47], [47, 42, -11], [-11, 46, 39], [39, 32, -18], [-18, 40, 31], [31, 22, -27], [-27, 32, 26], [26, 20, -33], [-33, 46, 13], [13, 58, -9], [-9, 50, 37], [37, 24, -22]] (m)c.f.e: [1, -19, 1, -60, 1, -19, 1, -1, 1, -6, 4, -1, 1, -1, 1, -2, 1, -4, 1, -9, 2, -30, 2, -9, 1, -4, 1, -2, 1, -1, 1, -1, 4, -6, 1, -1] number of reduced forms: 72 partition: [36, 36] ============================== d: 959 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 29, 1, 60] Pell solution, x^2- 959 y^2= 1 : [960, 31] ---------- 8 cycle: [[26, 14, -35], [-35, 56, 5], [5, 54, -46], [-46, 38, 13], [13, 40, -43], [-43, 46, 10], [10, 54, -23], [-23, 38, 26]] (m)c.f.e: [-1, 11, -1, 3, -1, 5, -2, 1] 8 cycle: [[-26, 14, 35], [35, 56, -5], [-5, 54, 46], [46, 38, -13], [-13, 40, 43], [43, 46, -10], [-10, 54, 23], [23, 38, -26]] (m)c.f.e: [1, -11, 1, -3, 1, -5, 2, -1] 8 cycle: [[35, 14, -26], [-26, 38, 23], [23, 54, -10], [-10, 46, 43], [43, 40, -13], [-13, 38, 46], [46, 54, -5], [-5, 56, 35]] (m)c.f.e: [-1, 2, -5, 1, -3, 1, -11, 1] 8 cycle: [[-35, 14, 26], [26, 38, -23], [-23, 54, 10], [10, 46, -43], [-43, 40, 13], [13, 38, -46], [-46, 54, 5], [5, 56, -35]] (m)c.f.e: [1, -2, 5, -1, 3, -1, 11, -1] 8 cycle: [[19, 32, -37], [-37, 42, 14], [14, 42, -37], [-37, 32, 19], [19, 44, -25], [-25, 56, 7], [7, 56, -25], [-25, 44, 19]] (m)c.f.e: [-1, 3, -1, 2, -2, 8, -2, 2] 8 cycle: [[-19, 32, 37], [37, 42, -14], [-14, 42, 37], [37, 32, -19], [-19, 44, 25], [25, 56, -7], [-7, 56, 25], [25, 44, -19]] (m)c.f.e: [1, -3, 1, -2, 2, -8, 2, -2] 4 cycle: [[2, 58, -59], [-59, 60, 1], [1, 60, -59], [-59, 58, 2]] (m)c.f.e: [-1, 60, -1, 29] 4 cycle: [[-2, 58, 59], [59, 60, -1], [-1, 60, 59], [59, 58, -2]] (m)c.f.e: [1, -60, 1, -29] number of reduced forms: 56 partition: [4, 4, 8, 8, 8, 8, 8, 8] ============================== d: 962 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [62] Pell solution, x^2- 962 y^2= -1 : [31, 1] ---------- 6 cycle: [[31, 2, -31], [-31, 60, 2], [2, 60, -31], [-31, 2, 31], [31, 60, -2], [-2, 60, 31]] (m)c.f.e: [-1, 30, -1, 1, -30, 1] 10 cycle: [[29, 22, -29], [-29, 36, 22], [22, 52, -13], [-13, 52, 22], [22, 36, -29], [-29, 22, 29], [29, 36, -22], [-22, 52, 13], [13, 52, -22], [-22, 36, 29]] (m)c.f.e: [-1, 2, -4, 2, -1, 1, -2, 4, -2, 1] 6 cycle: [[11, 52, -26], [-26, 52, 11], [11, 58, -11], [-11, 52, 26], [26, 52, -11], [-11, 58, 11]] (m)c.f.e: [-2, 5, -5, 2, -5, 5] 2 cycle: [[1, 62, -1], [-1, 62, 1]] (m)c.f.e: [-62, 62] number of reduced forms: 24 partition: [2, 6, 6, 10] ============================== d: 965 number of cycles (narrow class number): 2 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [15, 1, 1, 15, 62] Pell solution, x^2- 965 y^2= -1 : [14942, 481] ---------- 10 cycle: [[13, 9, -17], [-17, 25, 5], [5, 25, -17], [-17, 9, 13], [13, 17, -13], [-13, 9, 17], [17, 25, -5], [-5, 25, 17], [17, 9, -13], [-13, 17, 13]] (m)c.f.e: [-1, 5, -1, 1, -1, 1, -5, 1, -1, 1] 2 cycle: [[1, 31, -1], [-1, 31, 1]] (m)c.f.e: [-31, 31] number of reduced forms: 12 partition: [2, 10] ============================== d: 966 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [12, 2, 2, 2, 12, 62] Pell solution, x^2- 966 y^2= 1 : [57499, 1850] ---------- 12 cycle: [[29, 6, -33], [-33, 60, 2], [2, 60, -33], [-33, 6, 29], [29, 52, -10], [-10, 48, 39], [39, 30, -19], [-19, 46, 23], [23, 46, -19], [-19, 30, 39], [39, 48, -10], [-10, 52, 29]] (m)c.f.e: [-1, 30, -1, 1, -5, 1, -2, 2, -2, 1, -5, 1] 12 cycle: [[-29, 6, 33], [33, 60, -2], [-2, 60, 33], [33, 6, -29], [-29, 52, 10], [10, 48, -39], [-39, 30, 19], [19, 46, -23], [-23, 46, 19], [19, 30, -39], [-39, 48, 10], [10, 52, -29]] (m)c.f.e: [1, -30, 1, -1, 5, -1, 2, -2, 2, -1, 5, -1] 10 cycle: [[30, 12, -31], [-31, 50, 11], [11, 60, -6], [-6, 60, 11], [11, 50, -31], [-31, 12, 30], [30, 48, -13], [-13, 56, 14], [14, 56, -13], [-13, 48, 30]] (m)c.f.e: [-1, 5, -10, 5, -1, 1, -4, 4, -4, 1] 10 cycle: [[-30, 12, 31], [31, 50, -11], [-11, 60, 6], [6, 60, -11], [-11, 50, 31], [31, 12, -30], [-30, 48, 13], [13, 56, -14], [-14, 56, 13], [13, 48, -30]] (m)c.f.e: [1, -5, 10, -5, 1, -1, 4, -4, 4, -1] 10 cycle: [[22, 28, -35], [-35, 42, 15], [15, 48, -26], [-26, 56, 7], [7, 56, -26], [-26, 48, 15], [15, 42, -35], [-35, 28, 22], [22, 60, -3], [-3, 60, 22]] (m)c.f.e: [-1, 3, -2, 8, -2, 3, -1, 2, -20, 2] 10 cycle: [[-22, 28, 35], [35, 42, -15], [-15, 48, 26], [26, 56, -7], [-7, 56, 26], [26, 48, -15], [-15, 42, 35], [35, 28, -22], [-22, 60, 3], [3, 60, -22]] (m)c.f.e: [1, -3, 2, -8, 2, -3, 1, -2, 20, -2] 6 cycle: [[21, 42, -25], [-25, 58, 5], [5, 62, -1], [-1, 62, 5], [5, 58, -25], [-25, 42, 21]] (m)c.f.e: [-2, 12, -62, 12, -2, 2] 6 cycle: [[-21, 42, 25], [25, 58, -5], [-5, 62, 1], [1, 62, -5], [-5, 58, 25], [25, 42, -21]] (m)c.f.e: [2, -12, 62, -12, 2, -2] number of reduced forms: 76 partition: [6, 6, 10, 10, 10, 10, 12, 12] ============================== d: 967 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [10, 2, 1, 6, 4, 3, 2, 2, 1, 1, 8, 3, 2, 1, 20, 31, 20, 1, 2, 3, 8, 1, 1, 2, 2, 3, 4, 6, 1, 2, 10, 62] Pell solution, x^2- 967 y^2= 1 : [4649532557817485528, 149518887194649693] ---------- 32 cycle: [[27, 14, -34], [-34, 54, 7], [7, 58, -18], [-18, 50, 19], [19, 26, -42], [-42, 58, 3], [3, 62, -2], [-2, 62, 3], [3, 58, -42], [-42, 26, 19], [19, 50, -18], [-18, 58, 7], [7, 54, -34], [-34, 14, 27], [27, 40, -21], [-21, 44, 23], [23, 48, -17], [-17, 54, 14], [14, 58, -9], [-9, 50, 38], [38, 26, -21], [-21, 58, 6], [6, 62, -1], [-1, 62, 6], [6, 58, -21], [-21, 26, 38], [38, 50, -9], [-9, 58, 14], [14, 54, -17], [-17, 48, 23], [23, 44, -21], [-21, 40, 27]] (m)c.f.e: [-1, 8, -3, 2, -1, 20, -31, 20, -1, 2, -3, 8, -1, 1, -2, 2, -3, 4, -6, 1, -2, 10, -62, 10, -2, 1, -6, 4, -3, 2, -2, 1] 32 cycle: [[-27, 14, 34], [34, 54, -7], [-7, 58, 18], [18, 50, -19], [-19, 26, 42], [42, 58, -3], [-3, 62, 2], [2, 62, -3], [-3, 58, 42], [42, 26, -19], [-19, 50, 18], [18, 58, -7], [-7, 54, 34], [34, 14, -27], [-27, 40, 21], [21, 44, -23], [-23, 48, 17], [17, 54, -14], [-14, 58, 9], [9, 50, -38], [-38, 26, 21], [21, 58, -6], [-6, 62, 1], [1, 62, -6], [-6, 58, 21], [21, 26, -38], [-38, 50, 9], [9, 58, -14], [-14, 54, 17], [17, 48, -23], [-23, 44, 21], [21, 40, -27]] (m)c.f.e: [1, -8, 3, -2, 1, -20, 31, -20, 1, -2, 3, -8, 1, -1, 2, -2, 3, -4, 6, -1, 2, -10, 62, -10, 2, -1, 6, -4, 3, -2, 2, -1] number of reduced forms: 64 partition: [32, 32] ============================== d: 969 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [7, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 7, 62] Pell solution, x^2- 969 y^2= 1 : [13588951, 436540] ---------- 12 cycle: [[15, 3, -16], [-16, 29, 2], [2, 31, -1], [-1, 31, 2], [2, 29, -16], [-16, 3, 15], [15, 27, -4], [-4, 29, 8], [8, 19, -19], [-19, 19, 8], [8, 29, -4], [-4, 27, 15]] (m)c.f.e: [-1, 15, -31, 15, -1, 1, -7, 3, -1, 3, -7, 1] 12 cycle: [[-15, 3, 16], [16, 29, -2], [-2, 31, 1], [1, 31, -2], [-2, 29, 16], [16, 3, -15], [-15, 27, 4], [4, 29, -8], [-8, 19, 19], [19, 19, -8], [-8, 29, 4], [4, 27, -15]] (m)c.f.e: [1, -15, 31, -15, 1, -1, 7, -3, 1, -3, 7, -1] 18 cycle: [[10, 13, -20], [-20, 27, 3], [3, 27, -20], [-20, 13, 10], [10, 27, -6], [-6, 21, 22], [22, 23, -5], [-5, 27, 12], [12, 21, -11], [-11, 23, 10], [10, 17, -17], [-17, 17, 10], [10, 23, -11], [-11, 21, 12], [12, 27, -5], [-5, 23, 22], [22, 21, -6], [-6, 27, 10]] (m)c.f.e: [-1, 9, -1, 2, -4, 1, -5, 2, -2, 2, -1, 2, -2, 2, -5, 1, -4, 2] 18 cycle: [[-10, 13, 20], [20, 27, -3], [-3, 27, 20], [20, 13, -10], [-10, 27, 6], [6, 21, -22], [-22, 23, 5], [5, 27, -12], [-12, 21, 11], [11, 23, -10], [-10, 17, 17], [17, 17, -10], [-10, 23, 11], [11, 21, -12], [-12, 27, 5], [5, 23, -22], [-22, 21, 6], [6, 27, -10]] (m)c.f.e: [1, -9, 1, -2, 4, -1, 5, -2, 2, -2, 1, -2, 2, -2, 5, -1, 4, -2] number of reduced forms: 60 partition: [12, 12, 18, 18] ============================== d: 970 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 1, 9, 1, 1, 9, 1, 6, 62] Pell solution, x^2- 970 y^2= -1 : [328173, 10537] ---------- 18 cycle: [[31, 6, -31], [-31, 56, 6], [6, 52, -49], [-49, 46, 9], [9, 62, -1], [-1, 62, 9], [9, 46, -49], [-49, 52, 6], [6, 56, -31], [-31, 6, 31], [31, 56, -6], [-6, 52, 49], [49, 46, -9], [-9, 62, 1], [1, 62, -9], [-9, 46, 49], [49, 52, -6], [-6, 56, 31]] (m)c.f.e: [-1, 9, -1, 6, -62, 6, -1, 9, -1, 1, -9, 1, -6, 62, -6, 1, -9, 1] 22 cycle: [[27, 10, -35], [-35, 60, 2], [2, 60, -35], [-35, 10, 27], [27, 44, -18], [-18, 28, 43], [43, 58, -3], [-3, 62, 3], [3, 58, -43], [-43, 28, 18], [18, 44, -27], [-27, 10, 35], [35, 60, -2], [-2, 60, 35], [35, 10, -27], [-27, 44, 18], [18, 28, -43], [-43, 58, 3], [3, 62, -3], [-3, 58, 43], [43, 28, -18], [-18, 44, 27]] (m)c.f.e: [-1, 30, -1, 1, -2, 1, -20, 20, -1, 2, -1, 1, -30, 1, -1, 2, -1, 20, -20, 1, -2, 1] 30 cycle: [[29, 20, -30], [-30, 40, 19], [19, 36, -34], [-34, 32, 21], [21, 52, -14], [-14, 60, 5], [5, 60, -14], [-14, 52, 21], [21, 32, -34], [-34, 36, 19], [19, 40, -30], [-30, 20, 29], [29, 38, -21], [-21, 46, 21], [21, 38, -29], [-29, 20, 30], [30, 40, -19], [-19, 36, 34], [34, 32, -21], [-21, 52, 14], [14, 60, -5], [-5, 60, 14], [14, 52, -21], [-21, 32, 34], [34, 36, -19], [-19, 40, 30], [30, 20, -29], [-29, 38, 21], [21, 46, -21], [-21, 38, 29]] (m)c.f.e: [-1, 2, -1, 2, -4, 12, -4, 2, -1, 2, -1, 1, -2, 2, -1, 1, -2, 1, -2, 4, -12, 4, -2, 1, -2, 1, -1, 2, -2, 1] 26 cycle: [[17, 32, -42], [-42, 52, 7], [7, 60, -10], [-10, 60, 7], [7, 52, -42], [-42, 32, 17], [17, 36, -38], [-38, 40, 15], [15, 50, -23], [-23, 42, 23], [23, 50, -15], [-15, 40, 38], [38, 36, -17], [-17, 32, 42], [42, 52, -7], [-7, 60, 10], [10, 60, -7], [-7, 52, 42], [42, 32, -17], [-17, 36, 38], [38, 40, -15], [-15, 50, 23], [23, 42, -23], [-23, 50, 15], [15, 40, -38], [-38, 36, 17]] (m)c.f.e: [-1, 8, -6, 8, -1, 2, -1, 3, -2, 2, -3, 1, -2, 1, -8, 6, -8, 1, -2, 1, -3, 2, -2, 3, -1, 2] number of reduced forms: 96 partition: [18, 22, 26, 30] ============================== d: 971 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [6, 4, 1, 1, 1, 2, 5, 3, 2, 12, 31, 12, 2, 3, 5, 2, 1, 1, 1, 4, 6, 62] Pell solution, x^2- 971 y^2= 1 : [12479806786330, 400496058813] ---------- 22 cycle: [[25, 22, -34], [-34, 46, 13], [13, 58, -10], [-10, 62, 1], [1, 62, -10], [-10, 58, 13], [13, 46, -34], [-34, 22, 25], [25, 28, -31], [-31, 34, 22], [22, 54, -11], [-11, 56, 17], [17, 46, -26], [-26, 58, 5], [5, 62, -2], [-2, 62, 5], [5, 58, -26], [-26, 46, 17], [17, 56, -11], [-11, 54, 22], [22, 34, -31], [-31, 28, 25]] (m)c.f.e: [-1, 4, -6, 62, -6, 4, -1, 1, -1, 2, -5, 3, -2, 12, -31, 12, -2, 3, -5, 2, -1, 1] 22 cycle: [[-25, 22, 34], [34, 46, -13], [-13, 58, 10], [10, 62, -1], [-1, 62, 10], [10, 58, -13], [-13, 46, 34], [34, 22, -25], [-25, 28, 31], [31, 34, -22], [-22, 54, 11], [11, 56, -17], [-17, 46, 26], [26, 58, -5], [-5, 62, 2], [2, 62, -5], [-5, 58, 26], [26, 46, -17], [-17, 56, 11], [11, 54, -22], [-22, 34, 31], [31, 28, -25]] (m)c.f.e: [1, -4, 6, -62, 6, -4, 1, -1, 1, -2, 5, -3, 2, -12, 31, -12, 2, -3, 5, -2, 1, -1] number of reduced forms: 44 partition: [22, 22] ============================== d: 973 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [5, 5, 2, 8, 2, 5, 5, 62] Pell solution, x^2- 973 y^2= 1 : [903223, 28956] ---------- 12 cycle: [[11, 15, -17], [-17, 19, 9], [9, 17, -19], [-19, 21, 7], [7, 21, -19], [-19, 17, 9], [9, 19, -17], [-17, 15, 11], [11, 29, -3], [-3, 31, 1], [1, 31, -3], [-3, 29, 11]] (m)c.f.e: [-1, 2, -1, 3, -1, 2, -1, 2, -10, 31, -10, 2] 12 cycle: [[-11, 15, 17], [17, 19, -9], [-9, 17, 19], [19, 21, -7], [-7, 21, 19], [19, 17, -9], [-9, 19, 17], [17, 15, -11], [-11, 29, 3], [3, 31, -1], [-1, 31, 3], [3, 29, -11]] (m)c.f.e: [1, -2, 1, -3, 1, -2, 1, -2, 10, -31, 10, -2] number of reduced forms: 24 partition: [12, 12] ============================== d: 974 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [4, 1, 3, 1, 1, 1, 11, 1, 5, 3, 8, 1, 1, 1, 1, 30, 1, 1, 1, 1, 8, 3, 5, 1, 11, 1, 1, 1, 3, 1, 4, 62] Pell solution, x^2- 974 y^2= 1 : [488825745235215, 15662987185124] ---------- 32 cycle: [[25, 14, -37], [-37, 60, 2], [2, 60, -37], [-37, 14, 25], [25, 36, -26], [-26, 16, 35], [35, 54, -7], [-7, 58, 19], [19, 56, -10], [-10, 44, 49], [49, 54, -5], [-5, 56, 38], [38, 20, -23], [-23, 26, 35], [35, 44, -14], [-14, 40, 41], [41, 42, -13], [-13, 62, 1], [1, 62, -13], [-13, 42, 41], [41, 40, -14], [-14, 44, 35], [35, 26, -23], [-23, 20, 38], [38, 56, -5], [-5, 54, 49], [49, 44, -10], [-10, 56, 19], [19, 58, -7], [-7, 54, 35], [35, 16, -26], [-26, 36, 25]] (m)c.f.e: [-1, 30, -1, 1, -1, 1, -8, 3, -5, 1, -11, 1, -1, 1, -3, 1, -4, 62, -4, 1, -3, 1, -1, 1, -11, 1, -5, 3, -8, 1, -1, 1] 32 cycle: [[-25, 14, 37], [37, 60, -2], [-2, 60, 37], [37, 14, -25], [-25, 36, 26], [26, 16, -35], [-35, 54, 7], [7, 58, -19], [-19, 56, 10], [10, 44, -49], [-49, 54, 5], [5, 56, -38], [-38, 20, 23], [23, 26, -35], [-35, 44, 14], [14, 40, -41], [-41, 42, 13], [13, 62, -1], [-1, 62, 13], [13, 42, -41], [-41, 40, 14], [14, 44, -35], [-35, 26, 23], [23, 20, -38], [-38, 56, 5], [5, 54, -49], [-49, 44, 10], [10, 56, -19], [-19, 58, 7], [7, 54, -35], [-35, 16, 26], [26, 36, -25]] (m)c.f.e: [1, -30, 1, -1, 1, -1, 8, -3, 5, -1, 11, -1, 1, -1, 3, -1, 4, -62, 4, -1, 3, -1, 1, -1, 11, -1, 5, -3, 8, -1, 1, -1] number of reduced forms: 64 partition: [32, 32] ============================== d: 977 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 8, 5, 1, 1, 3, 7, 1, 1, 7, 3, 1, 1, 5, 8, 1, 3, 62] Pell solution, x^2- 977 y^2= -1 : [7376748868, 236003105] ---------- 42 cycle: [[14, 5, -17], [-17, 29, 2], [2, 31, -2], [-2, 29, 17], [17, 5, -14], [-14, 23, 8], [8, 25, -11], [-11, 19, 14], [14, 9, -16], [-16, 23, 7], [7, 19, -22], [-22, 25, 4], [4, 31, -1], [-1, 31, 4], [4, 25, -22], [-22, 19, 7], [7, 23, -16], [-16, 9, 14], [14, 19, -11], [-11, 25, 8], [8, 23, -14], [-14, 5, 17], [17, 29, -2], [-2, 31, 2], [2, 29, -17], [-17, 5, 14], [14, 23, -8], [-8, 25, 11], [11, 19, -14], [-14, 9, 16], [16, 23, -7], [-7, 19, 22], [22, 25, -4], [-4, 31, 1], [1, 31, -4], [-4, 25, 22], [22, 19, -7], [-7, 23, 16], [16, 9, -14], [-14, 19, 11], [11, 25, -8], [-8, 23, 14]] (m)c.f.e: [-1, 15, -15, 1, -1, 3, -2, 1, -1, 3, -1, 7, -31, 7, -1, 3, -1, 1, -2, 3, -1, 1, -15, 15, -1, 1, -3, 2, -1, 1, -3, 1, -7, 31, -7, 1, -3, 1, -1, 2, -3, 1] number of reduced forms: 42 partition: [42] ============================== d: 978 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 1, 1, 1, 30, 1, 1, 1, 3, 62] Pell solution, x^2- 978 y^2= 1 : [118337, 3784] ---------- 10 cycle: [[23, 18, -39], [-39, 60, 2], [2, 60, -39], [-39, 18, 23], [23, 28, -34], [-34, 40, 17], [17, 62, -1], [-1, 62, 17], [17, 40, -34], [-34, 28, 23]] (m)c.f.e: [-1, 30, -1, 1, -1, 3, -62, 3, -1, 1] 10 cycle: [[-23, 18, 39], [39, 60, -2], [-2, 60, 39], [39, 18, -23], [-23, 28, 34], [34, 40, -17], [-17, 62, 1], [1, 62, -17], [-17, 40, 34], [34, 28, -23]] (m)c.f.e: [1, -30, 1, -1, 1, -3, 62, -3, 1, -1] 10 cycle: [[19, 32, -38], [-38, 44, 13], [13, 60, -6], [-6, 60, 13], [13, 44, -38], [-38, 32, 19], [19, 44, -26], [-26, 60, 3], [3, 60, -26], [-26, 44, 19]] (m)c.f.e: [-1, 4, -10, 4, -1, 2, -2, 20, -2, 2] 10 cycle: [[-19, 32, 38], [38, 44, -13], [-13, 60, 6], [6, 60, -13], [-13, 44, 38], [38, 32, -19], [-19, 44, 26], [26, 60, -3], [-3, 60, 26], [26, 44, -19]] (m)c.f.e: [1, -4, 10, -4, 1, -2, 2, -20, 2, -2] number of reduced forms: 40 partition: [10, 10, 10, 10] ============================== d: 979 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [3, 2, 5, 1, 4, 1, 5, 2, 3, 62] Pell solution, x^2- 979 y^2= 1 : [360449, 11520] ---------- 14 cycle: [[30, 14, -31], [-31, 48, 13], [13, 56, -15], [-15, 34, 46], [46, 58, -3], [-3, 62, 6], [6, 58, -23], [-23, 34, 30], [30, 26, -27], [-27, 28, 29], [29, 30, -26], [-26, 22, 33], [33, 44, -15], [-15, 46, 30]] (m)c.f.e: [-1, 4, -3, 1, -20, 10, -2, 1, -1, 1, -1, 1, -3, 1] 14 cycle: [[-30, 14, 31], [31, 48, -13], [-13, 56, 15], [15, 34, -46], [-46, 58, 3], [3, 62, -6], [-6, 58, 23], [23, 34, -30], [-30, 26, 27], [27, 28, -29], [-29, 30, 26], [26, 22, -33], [-33, 44, 15], [15, 46, -30]] (m)c.f.e: [1, -4, 3, -1, 20, -10, 2, -1, 1, -1, 1, -1, 3, -1] 14 cycle: [[31, 14, -30], [-30, 46, 15], [15, 44, -33], [-33, 22, 26], [26, 30, -29], [-29, 28, 27], [27, 26, -30], [-30, 34, 23], [23, 58, -6], [-6, 62, 3], [3, 58, -46], [-46, 34, 15], [15, 56, -13], [-13, 48, 31]] (m)c.f.e: [-1, 3, -1, 1, -1, 1, -1, 2, -10, 20, -1, 3, -4, 1] 14 cycle: [[-31, 14, 30], [30, 46, -15], [-15, 44, 33], [33, 22, -26], [-26, 30, 29], [29, 28, -27], [-27, 26, 30], [30, 34, -23], [-23, 58, 6], [6, 62, -3], [-3, 58, 46], [46, 34, -15], [-15, 56, 13], [13, 48, -31]] (m)c.f.e: [1, -3, 1, -1, 1, -1, 1, -2, 10, -20, 1, -3, 4, -1] 10 cycle: [[22, 22, -39], [-39, 56, 5], [5, 54, -50], [-50, 46, 9], [9, 62, -2], [-2, 62, 9], [9, 46, -50], [-50, 54, 5], [5, 56, -39], [-39, 22, 22]] (m)c.f.e: [-1, 11, -1, 6, -31, 6, -1, 11, -1, 1] 10 cycle: [[-22, 22, 39], [39, 56, -5], [-5, 54, 50], [50, 46, -9], [-9, 62, 2], [2, 62, -9], [-9, 46, 50], [50, 54, -5], [-5, 56, 39], [39, 22, -22]] (m)c.f.e: [1, -11, 1, -6, 31, -6, 1, -11, 1, -1] 10 cycle: [[11, 44, -45], [-45, 46, 10], [10, 54, -25], [-25, 46, 18], [18, 62, -1], [-1, 62, 18], [18, 46, -25], [-25, 54, 10], [10, 46, -45], [-45, 44, 11]] (m)c.f.e: [-1, 5, -2, 3, -62, 3, -2, 5, -1, 4] 10 cycle: [[-11, 44, 45], [45, 46, -10], [-10, 54, 25], [25, 46, -18], [-18, 62, 1], [1, 62, -18], [-18, 46, 25], [25, 54, -10], [-10, 46, 45], [45, 44, -11]] (m)c.f.e: [1, -5, 2, -3, 62, -3, 2, -5, 1, -4] number of reduced forms: 96 partition: [10, 10, 10, 10, 14, 14, 14, 14] ============================== d: 982 number of cycles (narrow class number): 10 class number: 5 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 30, 1, 2, 62] Pell solution, x^2- 982 y^2= 1 : [8837, 282] ---------- 8 cycle: [[29, 10, -33], [-33, 56, 6], [6, 52, -51], [-51, 50, 7], [7, 62, -3], [-3, 58, 47], [47, 36, -14], [-14, 48, 29]] (m)c.f.e: [-1, 9, -1, 8, -20, 1, -3, 1] 8 cycle: [[-29, 10, 33], [33, 56, -6], [-6, 52, 51], [51, 50, -7], [-7, 62, 3], [3, 58, -47], [-47, 36, 14], [14, 48, -29]] (m)c.f.e: [1, -9, 1, -8, 20, -1, 3, -1] 8 cycle: [[33, 10, -29], [-29, 48, 14], [14, 36, -47], [-47, 58, 3], [3, 62, -7], [-7, 50, 51], [51, 52, -6], [-6, 56, 33]] (m)c.f.e: [-1, 3, -1, 20, -8, 1, -9, 1] 8 cycle: [[-33, 10, 29], [29, 48, -14], [-14, 36, 47], [47, 58, -3], [-3, 62, 7], [7, 50, -51], [-51, 52, 6], [6, 56, -33]] (m)c.f.e: [1, -3, 1, -20, 8, -1, 9, -1] 10 cycle: [[27, 16, -34], [-34, 52, 9], [9, 56, -22], [-22, 32, 33], [33, 34, -21], [-21, 50, 17], [17, 52, -18], [-18, 56, 11], [11, 54, -23], [-23, 38, 27]] (m)c.f.e: [-1, 6, -2, 1, -2, 3, -3, 5, -2, 1] 10 cycle: [[-27, 16, 34], [34, 52, -9], [-9, 56, 22], [22, 32, -33], [-33, 34, 21], [21, 50, -17], [-17, 52, 18], [18, 56, -11], [-11, 54, 23], [23, 38, -27]] (m)c.f.e: [1, -6, 2, -1, 2, -3, 3, -5, 2, -1] 10 cycle: [[34, 16, -27], [-27, 38, 23], [23, 54, -11], [-11, 56, 18], [18, 52, -17], [-17, 50, 21], [21, 34, -33], [-33, 32, 22], [22, 56, -9], [-9, 52, 34]] (m)c.f.e: [-1, 2, -5, 3, -3, 2, -1, 2, -6, 1] 10 cycle: [[-34, 16, 27], [27, 38, -23], [-23, 54, 11], [11, 56, -18], [-18, 52, 17], [17, 50, -21], [-21, 34, 33], [33, 32, -22], [-22, 56, 9], [9, 52, -34]] (m)c.f.e: [1, -2, 5, -3, 3, -2, 1, -2, 6, -1] 6 cycle: [[21, 22, -41], [-41, 60, 2], [2, 60, -41], [-41, 22, 21], [21, 62, -1], [-1, 62, 21]] (m)c.f.e: [-1, 30, -1, 2, -62, 2] 6 cycle: [[-21, 22, 41], [41, 60, -2], [-2, 60, 41], [41, 22, -21], [-21, 62, 1], [1, 62, -21]] (m)c.f.e: [1, -30, 1, -2, 62, -2] number of reduced forms: 84 partition: [6, 6, 8, 8, 8, 8, 10, 10, 10, 10] ============================== d: 983 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 5, 31, 5, 1, 2, 62] Pell solution, x^2- 983 y^2= 1 : [284088, 9061] ---------- 8 cycle: [[22, 26, -37], [-37, 48, 11], [11, 62, -2], [-2, 62, 11], [11, 48, -37], [-37, 26, 22], [22, 62, -1], [-1, 62, 22]] (m)c.f.e: [-1, 5, -31, 5, -1, 2, -62, 2] 8 cycle: [[-22, 26, 37], [37, 48, -11], [-11, 62, 2], [2, 62, -11], [-11, 48, 37], [37, 26, -22], [-22, 62, 1], [1, 62, -22]] (m)c.f.e: [1, -5, 31, -5, 1, -2, 62, -2] number of reduced forms: 16 partition: [8, 8] ============================== d: 985 number of cycles (narrow class number): 6 class number: 6 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 1, 1, 2, 62] Pell solution, x^2- 985 y^2= -1 : [408, 13] ---------- 14 cycle: [[15, 5, -16], [-16, 27, 4], [4, 29, -9], [-9, 25, 10], [10, 15, -19], [-19, 23, 6], [6, 25, -15], [-15, 5, 16], [16, 27, -4], [-4, 29, 9], [9, 25, -10], [-10, 15, 19], [19, 23, -6], [-6, 25, 15]] (m)c.f.e: [-1, 7, -3, 2, -1, 4, -1, 1, -7, 3, -2, 1, -4, 1] 14 cycle: [[16, 5, -15], [-15, 25, 6], [6, 23, -19], [-19, 15, 10], [10, 25, -9], [-9, 29, 4], [4, 27, -16], [-16, 5, 15], [15, 25, -6], [-6, 23, 19], [19, 15, -10], [-10, 25, 9], [9, 29, -4], [-4, 27, 16]] (m)c.f.e: [-1, 4, -1, 2, -3, 7, -1, 1, -4, 1, -2, 3, -7, 1] 10 cycle: [[13, 7, -18], [-18, 29, 2], [2, 31, -3], [-3, 29, 12], [12, 19, -13], [-13, 7, 18], [18, 29, -2], [-2, 31, 3], [3, 29, -12], [-12, 19, 13]] (m)c.f.e: [-1, 15, -10, 2, -1, 1, -15, 10, -2, 1] 10 cycle: [[18, 7, -13], [-13, 19, 12], [12, 29, -3], [-3, 31, 2], [2, 29, -18], [-18, 7, 13], [13, 19, -12], [-12, 29, 3], [3, 31, -2], [-2, 29, 18]] (m)c.f.e: [-1, 2, -10, 15, -1, 1, -2, 10, -15, 1] 18 cycle: [[12, 11, -18], [-18, 25, 5], [5, 25, -18], [-18, 11, 12], [12, 13, -17], [-17, 21, 8], [8, 27, -8], [-8, 21, 17], [17, 13, -12], [-12, 11, 18], [18, 25, -5], [-5, 25, 18], [18, 11, -12], [-12, 13, 17], [17, 21, -8], [-8, 27, 8], [8, 21, -17], [-17, 13, 12]] (m)c.f.e: [-1, 5, -1, 1, -1, 3, -3, 1, -1, 1, -5, 1, -1, 1, -3, 3, -1, 1] 6 cycle: [[6, 29, -6], [-6, 31, 1], [1, 31, -6], [-6, 29, 6], [6, 31, -1], [-1, 31, 6]] (m)c.f.e: [-5, 31, -5, 5, -31, 5] number of reduced forms: 72 partition: [6, 10, 10, 14, 14, 18] ============================== d: 986 number of cycles (narrow class number): 4 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 62] Pell solution, x^2- 986 y^2= -1 : [157, 5] ---------- 14 cycle: [[31, 10, -31], [-31, 52, 10], [10, 48, -41], [-41, 34, 17], [17, 34, -41], [-41, 48, 10], [10, 52, -31], [-31, 10, 31], [31, 52, -10], [-10, 48, 41], [41, 34, -17], [-17, 34, 41], [41, 48, -10], [-10, 52, 31]] (m)c.f.e: [-1, 5, -1, 2, -1, 5, -1, 1, -5, 1, -2, 1, -5, 1] 10 cycle: [[19, 26, -43], [-43, 60, 2], [2, 60, -43], [-43, 26, 19], [19, 50, -19], [-19, 26, 43], [43, 60, -2], [-2, 60, 43], [43, 26, -19], [-19, 50, 19]] (m)c.f.e: [-1, 30, -1, 2, -2, 1, -30, 1, -2, 2] 6 cycle: [[25, 38, -25], [-25, 62, 1], [1, 62, -25], [-25, 38, 25], [25, 62, -1], [-1, 62, 25]] (m)c.f.e: [-2, 62, -2, 2, -62, 2] 6 cycle: [[5, 58, -29], [-29, 58, 5], [5, 62, -5], [-5, 58, 29], [29, 58, -5], [-5, 62, 5]] (m)c.f.e: [-2, 12, -12, 2, -12, 12] number of reduced forms: 36 partition: [6, 6, 10, 14] ============================== d: 987 number of cycles (narrow class number): 8 class number: 4 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 2, 2, 62] Pell solution, x^2- 987 y^2= 1 : [377, 12] ---------- 8 cycle: [[17, 32, -43], [-43, 54, 6], [6, 54, -43], [-43, 32, 17], [17, 36, -39], [-39, 42, 14], [14, 42, -39], [-39, 36, 17]] (m)c.f.e: [-1, 9, -1, 2, -1, 3, -1, 2] 8 cycle: [[-17, 32, 43], [43, 54, -6], [-6, 54, 43], [43, 32, -17], [-17, 36, 39], [39, 42, -14], [-14, 42, 39], [39, 36, -17]] (m)c.f.e: [1, -9, 1, -2, 1, -3, 1, -2] 4 cycle: [[13, 42, -42], [-42, 42, 13], [13, 62, -2], [-2, 62, 13]] (m)c.f.e: [-1, 4, -31, 4] 4 cycle: [[-13, 42, 42], [42, 42, -13], [-13, 62, 2], [2, 62, -13]] (m)c.f.e: [1, -4, 31, -4] 4 cycle: [[21, 42, -26], [-26, 62, 1], [1, 62, -26], [-26, 42, 21]] (m)c.f.e: [-2, 62, -2, 2] 4 cycle: [[-21, 42, 26], [26, 62, -1], [-1, 62, 26], [26, 42, -21]] (m)c.f.e: [2, -62, 2, -2] 4 cycle: [[7, 56, -29], [-29, 60, 3], [3, 60, -29], [-29, 56, 7]] (m)c.f.e: [-2, 20, -2, 8] 4 cycle: [[-7, 56, 29], [29, 60, -3], [-3, 60, 29], [29, 56, -7]] (m)c.f.e: [2, -20, 2, -8] number of reduced forms: 40 partition: [4, 4, 4, 4, 4, 4, 8, 8] ============================== d: 989 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 4, 2, 1, 11, 1, 8, 15, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 15, 8, 1, 11, 1, 2, 4, 2, 62] Pell solution, x^2- 989 y^2= 1 : [550271588560695, 17497618534396] ---------- 8 cycle: [[5, 23, -23], [-23, 23, 5], [5, 27, -13], [-13, 25, 7], [7, 31, -1], [-1, 31, 7], [7, 25, -13], [-13, 27, 5]] (m)c.f.e: [-1, 5, -2, 4, -31, 4, -2, 5] 8 cycle: [[-5, 23, 23], [23, 23, -5], [-5, 27, 13], [13, 25, -7], [-7, 31, 1], [1, 31, -7], [-7, 25, 13], [13, 27, -5]] (m)c.f.e: [1, -5, 2, -4, 31, -4, 2, -5] number of reduced forms: 16 partition: [8, 8] ============================== d: 991 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [2, 12, 10, 2, 2, 2, 1, 1, 2, 6, 1, 1, 1, 1, 3, 1, 8, 4, 1, 2, 1, 2, 3, 1, 4, 1, 20, 6, 4, 31, 4, 6, 20, 1, 4, 1, 3, 2, 1, 2, 1, 4, 8, 1, 3, 1, 1, 1, 1, 6, 2, 1, 1, 2, 2, 2, 10, 12, 2, 62] Pell solution, x^2- 991 y^2= 1 : [379516400906811930638014896080, 12055735790331359447442538767] ---------- 60 cycle: [[26, 18, -35], [-35, 52, 9], [9, 56, -23], [-23, 36, 29], [29, 22, -30], [-30, 38, 21], [21, 46, -22], [-22, 42, 25], [25, 58, -6], [-6, 62, 5], [5, 58, -30], [-30, 62, 1], [1, 62, -30], [-30, 58, 5], [5, 62, -6], [-6, 58, 25], [25, 42, -22], [-22, 46, 21], [21, 38, -30], [-30, 22, 29], [29, 36, -23], [-23, 56, 9], [9, 52, -35], [-35, 18, 26], [26, 34, -27], [-27, 20, 33], [33, 46, -14], [-14, 38, 45], [45, 52, -7], [-7, 60, 13], [13, 44, -39], [-39, 34, 18], [18, 38, -35], [-35, 32, 21], [21, 52, -15], [-15, 38, 42], [42, 46, -11], [-11, 42, 50], [50, 58, -3], [-3, 62, 10], [10, 58, -15], [-15, 62, 2], [2, 62, -15], [-15, 58, 10], [10, 62, -3], [-3, 58, 50], [50, 42, -11], [-11, 46, 42], [42, 38, -15], [-15, 52, 21], [21, 32, -35], [-35, 38, 18], [18, 34, -39], [-39, 44, 13], [13, 60, -7], [-7, 52, 45], [45, 38, -14], [-14, 46, 33], [33, 20, -27], [-27, 34, 26]] (m)c.f.e: [-1, 6, -2, 1, -1, 2, -2, 2, -10, 12, -2, 62, -2, 12, -10, 2, -2, 2, -1, 1, -2, 6, -1, 1, -1, 1, -3, 1, -8, 4, -1, 2, -1, 2, -3, 1, -4, 1, -20, 6, -4, 31, -4, 6, -20, 1, -4, 1, -3, 2, -1, 2, -1, 4, -8, 1, -3, 1, -1, 1] 60 cycle: [[-26, 18, 35], [35, 52, -9], [-9, 56, 23], [23, 36, -29], [-29, 22, 30], [30, 38, -21], [-21, 46, 22], [22, 42, -25], [-25, 58, 6], [6, 62, -5], [-5, 58, 30], [30, 62, -1], [-1, 62, 30], [30, 58, -5], [-5, 62, 6], [6, 58, -25], [-25, 42, 22], [22, 46, -21], [-21, 38, 30], [30, 22, -29], [-29, 36, 23], [23, 56, -9], [-9, 52, 35], [35, 18, -26], [-26, 34, 27], [27, 20, -33], [-33, 46, 14], [14, 38, -45], [-45, 52, 7], [7, 60, -13], [-13, 44, 39], [39, 34, -18], [-18, 38, 35], [35, 32, -21], [-21, 52, 15], [15, 38, -42], [-42, 46, 11], [11, 42, -50], [-50, 58, 3], [3, 62, -10], [-10, 58, 15], [15, 62, -2], [-2, 62, 15], [15, 58, -10], [-10, 62, 3], [3, 58, -50], [-50, 42, 11], [11, 46, -42], [-42, 38, 15], [15, 52, -21], [-21, 32, 35], [35, 38, -18], [-18, 34, 39], [39, 44, -13], [-13, 60, 7], [7, 52, -45], [-45, 38, 14], [14, 46, -33], [-33, 20, 27], [27, 34, -26]] (m)c.f.e: [1, -6, 2, -1, 1, -2, 2, -2, 10, -12, 2, -62, 2, -12, 10, -2, 2, -2, 1, -1, 2, -6, 1, -1, 1, -1, 3, -1, 8, -4, 1, -2, 1, -2, 3, -1, 4, -1, 20, -6, 4, -31, 4, -6, 20, -1, 4, -1, 3, -2, 1, -2, 1, -4, 8, -1, 3, -1, 1, -1] number of reduced forms: 120 partition: [60, 60] ============================== d: 993 number of cycles (narrow class number): 6 class number: 3 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 20, 1, 1, 62] Pell solution, x^2- 993 y^2= 1 : [2647, 84] ---------- 8 cycle: [[12, 9, -19], [-19, 29, 2], [2, 31, -4], [-4, 25, 23], [23, 21, -6], [-6, 27, 11], [11, 17, -16], [-16, 15, 12]] (m)c.f.e: [-1, 15, -7, 1, -4, 2, -1, 1] 8 cycle: [[-12, 9, 19], [19, 29, -2], [-2, 31, 4], [4, 25, -23], [-23, 21, 6], [6, 27, -11], [-11, 17, 16], [16, 15, -12]] (m)c.f.e: [1, -15, 7, -1, 4, -2, 1, -1] 8 cycle: [[19, 9, -12], [-12, 15, 16], [16, 17, -11], [-11, 27, 6], [6, 21, -23], [-23, 25, 4], [4, 31, -2], [-2, 29, 19]] (m)c.f.e: [-1, 1, -2, 4, -1, 7, -15, 1] 8 cycle: [[-19, 9, 12], [12, 15, -16], [-16, 17, 11], [11, 27, -6], [-6, 21, 23], [23, 25, -4], [-4, 31, 2], [2, 29, -19]] (m)c.f.e: [1, -1, 2, -4, 1, -7, 15, -1] 6 cycle: [[8, 17, -22], [-22, 27, 3], [3, 27, -22], [-22, 17, 8], [8, 31, -1], [-1, 31, 8]] (m)c.f.e: [-1, 9, -1, 3, -31, 3] 6 cycle: [[-8, 17, 22], [22, 27, -3], [-3, 27, 22], [22, 17, -8], [-8, 31, 1], [1, 31, -8]] (m)c.f.e: [1, -9, 1, -3, 31, -3] number of reduced forms: 44 partition: [6, 6, 8, 8, 8, 8] ============================== d: 994 number of cycles (narrow class number): 16 class number: 8 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 8, 1, 1, 62] Pell solution, x^2- 994 y^2= 1 : [1135, 36] ---------- 6 cycle: [[30, 4, -33], [-33, 62, 1], [1, 62, -33], [-33, 4, 30], [30, 56, -7], [-7, 56, 30]] (m)c.f.e: [-1, 62, -1, 1, -8, 1] 6 cycle: [[-30, 4, 33], [33, 62, -1], [-1, 62, 33], [33, 4, -30], [-30, 56, 7], [7, 56, -30]] (m)c.f.e: [1, -62, 1, -1, 8, -1] 8 cycle: [[27, 14, -35], [-35, 56, 6], [6, 52, -53], [-53, 54, 5], [5, 56, -42], [-42, 28, 19], [19, 48, -22], [-22, 40, 27]] (m)c.f.e: [-1, 9, -1, 11, -1, 2, -2, 1] 8 cycle: [[-27, 14, 35], [35, 56, -6], [-6, 52, 53], [53, 54, -5], [-5, 56, 42], [42, 28, -19], [-19, 48, 22], [22, 40, -27]] (m)c.f.e: [1, -9, 1, -11, 1, -2, 2, -1] 8 cycle: [[35, 14, -27], [-27, 40, 22], [22, 48, -19], [-19, 28, 42], [42, 56, -5], [-5, 54, 53], [53, 52, -6], [-6, 56, 35]] (m)c.f.e: [-1, 2, -2, 1, -11, 1, -9, 1] 8 cycle: [[-35, 14, 27], [27, 40, -22], [-22, 48, 19], [19, 28, -42], [-42, 56, 5], [5, 54, -53], [-53, 52, 6], [6, 56, -35]] (m)c.f.e: [1, -2, 2, -1, 11, -1, 9, -1] 10 cycle: [[30, 16, -31], [-31, 46, 15], [15, 44, -34], [-34, 24, 25], [25, 26, -33], [-33, 40, 18], [18, 32, -41], [-41, 50, 9], [9, 58, -17], [-17, 44, 30]] (m)c.f.e: [-1, 3, -1, 1, -1, 2, -1, 6, -3, 1] 10 cycle: [[-30, 16, 31], [31, 46, -15], [-15, 44, 34], [34, 24, -25], [-25, 26, 33], [33, 40, -18], [-18, 32, 41], [41, 50, -9], [-9, 58, 17], [17, 44, -30]] (m)c.f.e: [1, -3, 1, -1, 1, -2, 1, -6, 3, -1] 10 cycle: [[31, 16, -30], [-30, 44, 17], [17, 58, -9], [-9, 50, 41], [41, 32, -18], [-18, 40, 33], [33, 26, -25], [-25, 24, 34], [34, 44, -15], [-15, 46, 31]] (m)c.f.e: [-1, 3, -6, 1, -2, 1, -1, 1, -3, 1] 10 cycle: [[-31, 16, 30], [30, 44, -17], [-17, 58, 9], [9, 50, -41], [-41, 32, 18], [18, 40, -33], [-33, 26, 25], [25, 24, -34], [-34, 44, 15], [15, 46, -31]] (m)c.f.e: [1, -3, 6, -1, 2, -1, 1, -1, 3, -1] 6 cycle: [[21, 28, -38], [-38, 48, 11], [11, 62, -3], [-3, 58, 51], [51, 44, -10], [-10, 56, 21]] (m)c.f.e: [-1, 5, -20, 1, -5, 2] 6 cycle: [[-21, 28, 38], [38, 48, -11], [-11, 62, 3], [3, 58, -51], [-51, 44, 10], [10, 56, -21]] (m)c.f.e: [1, -5, 20, -1, 5, -2] 6 cycle: [[38, 28, -21], [-21, 56, 10], [10, 44, -51], [-51, 58, 3], [3, 62, -11], [-11, 48, 38]] (m)c.f.e: [-2, 5, -1, 20, -5, 1] 6 cycle: [[-38, 28, 21], [21, 56, -10], [-10, 44, 51], [51, 58, -3], [-3, 62, 11], [11, 48, -38]] (m)c.f.e: [2, -5, 1, -20, 5, -1] 6 cycle: [[15, 34, -47], [-47, 60, 2], [2, 60, -47], [-47, 34, 15], [15, 56, -14], [-14, 56, 15]] (m)c.f.e: [-1, 30, -1, 3, -4, 3] 6 cycle: [[-15, 34, 47], [47, 60, -2], [-2, 60, 47], [47, 34, -15], [-15, 56, 14], [14, 56, -15]] (m)c.f.e: [1, -30, 1, -3, 4, -3] number of reduced forms: 120 partition: [6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10] ============================== d: 995 number of cycles (narrow class number): 4 class number: 2 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 5, 4, 3, 12, 3, 4, 5, 1, 1, 62] Pell solution, x^2- 995 y^2= 1 : [8835999, 280120] ---------- 12 cycle: [[29, 6, -34], [-34, 62, 1], [1, 62, -34], [-34, 6, 29], [29, 52, -11], [-11, 58, 14], [14, 54, -19], [-19, 60, 5], [5, 60, -19], [-19, 54, 14], [14, 58, -11], [-11, 52, 29]] (m)c.f.e: [-1, 62, -1, 1, -5, 4, -3, 12, -3, 4, -5, 1] 12 cycle: [[-29, 6, 34], [34, 62, -1], [-1, 62, 34], [34, 6, -29], [-29, 52, 11], [11, 58, -14], [-14, 54, 19], [19, 60, -5], [-5, 60, 19], [19, 54, -14], [-14, 58, 11], [11, 52, -29]] (m)c.f.e: [1, -62, 1, -1, 5, -4, 3, -12, 3, -4, 5, -1] 16 cycle: [[23, 22, -38], [-38, 54, 7], [7, 58, -22], [-22, 30, 35], [35, 40, -17], [-17, 62, 2], [2, 62, -17], [-17, 40, 35], [35, 30, -22], [-22, 58, 7], [7, 54, -38], [-38, 22, 23], [23, 24, -37], [-37, 50, 10], [10, 50, -37], [-37, 24, 23]] (m)c.f.e: [-1, 8, -2, 1, -3, 31, -3, 1, -2, 8, -1, 1, -1, 5, -1, 1] 16 cycle: [[-23, 22, 38], [38, 54, -7], [-7, 58, 22], [22, 30, -35], [-35, 40, 17], [17, 62, -2], [-2, 62, 17], [17, 40, -35], [-35, 30, 22], [22, 58, -7], [-7, 54, 38], [38, 22, -23], [-23, 24, 37], [37, 50, -10], [-10, 50, 37], [37, 24, -23]] (m)c.f.e: [1, -8, 2, -1, 3, -31, 3, -1, 2, -8, 1, -1, 1, -5, 1, -1] number of reduced forms: 56 partition: [12, 12, 16, 16] ============================== d: 997 number of cycles (narrow class number): 1 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62] Pell solution, x^2- 997 y^2= -1 : [84906, 2689] ---------- 14 cycle: [[9, 23, -13], [-13, 29, 3], [3, 31, -3], [-3, 29, 13], [13, 23, -9], [-9, 31, 1], [1, 31, -9], [-9, 23, 13], [13, 29, -3], [-3, 31, 3], [3, 29, -13], [-13, 23, 9], [9, 31, -1], [-1, 31, 9]] (m)c.f.e: [-2, 10, -10, 2, -3, 31, -3, 2, -10, 10, -2, 3, -31, 3] number of reduced forms: 14 partition: [14] ============================== d: 998 number of cycles (narrow class number): 2 class number: 1 c.f.e. of sqrt(d)-floor(sqrt(d)): [1, 1, 2, 4, 8, 1, 3, 1, 30, 1, 3, 1, 8, 4, 2, 1, 1, 62] Pell solution, x^2- 998 y^2= 1 : [984076901, 31150410] ---------- 18 cycle: [[26, 12, -37], [-37, 62, 1], [1, 62, -37], [-37, 12, 26], [26, 40, -23], [-23, 52, 14], [14, 60, -7], [-7, 52, 46], [46, 40, -13], [-13, 38, 49], [49, 60, -2], [-2, 60, 49], [49, 38, -13], [-13, 40, 46], [46, 52, -7], [-7, 60, 14], [14, 52, -23], [-23, 40, 26]] (m)c.f.e: [-1, 62, -1, 1, -2, 4, -8, 1, -3, 1, -30, 1, -3, 1, -8, 4, -2, 1] 18 cycle: [[-26, 12, 37], [37, 62, -1], [-1, 62, 37], [37, 12, -26], [-26, 40, 23], [23, 52, -14], [-14, 60, 7], [7, 52, -46], [-46, 40, 13], [13, 38, -49], [-49, 60, 2], [2, 60, -49], [-49, 38, 13], [13, 40, -46], [-46, 52, 7], [7, 60, -14], [-14, 52, 23], [23, 40, -26]] (m)c.f.e: [1, -62, 1, -1, 2, -4, 8, -1, 3, -1, 30, -1, 3, -1, 8, -4, 2, -1] number of reduced forms: 36 partition: [18, 18] ==============================