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mf_newforms • Show schema
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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [11, 1]], 'atkin_lehner_string': '+--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [13, [-2, 1]], [17, [-4, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262626, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3234.2.a.k', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/3234/k'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [-1, 1, 0, 0], 'trace_hash': 240379495403301201, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.998', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [0], [-1], [1], [0], [-1], [1], [2], [0], [0], [1], [4], [-1], [-6], [0], [0], [1], [-4], [-1], [-5], [-2], [1], [0], [-10], [0], [-6], [-1], [-1], [-4], [0], [1], [-6], [6], [2], [0], [12], [0], [-8], [-1], [0], [4], [-2], [1], [0], [5], [4], [2], [6], [-1], [0], [0], [-6], [10], [8], [0], [-6], [6], [0], [1], [0], [1], [-4], [4], [-4], [0], [0], [-1], [12], [6], [-5], [-6], [0], [-2], [0], [0], [1], [-12], [-14], [0], [0], [8], [-10], [1], [-10], [0], [0], [-4], [-6], [2], [0], [-1], [-10], [0], [-1], [-5]], 'ap': [[-1], [1], [0], [0], [-1], [2], [4], [-6], [-4], [-10], [-6], [-6], [12], [-8], [-2], [6], [8], [-6], [-4], [0], [12], [0], [-14], [-10], [-10], [6], [-10], [8], [18], [-2], [-16], [-10], [-10], [14], [10], [-16], [-12], [12], [-12], [18], [20], [8], [-12], [-22], [6], [-10], [-8], [2], [14], [-24], [-26], [-8], [28], [-8], [6], [16], [-24], [4], [-22], [30], [-2], [-6], [14], [10], [-6], [-18], [-20], [22], [16], [-2], [-10], [8], [10], [22], [-4], [10], [2], [4], [-34], [-24], [-28], [6], [8], [22], [-28], [12], [-2], [-6], [6], [16], [-4], [8], [-28], [12], [4], [4], [32], [30], [22], [-34], [28], [30], [6], [-42], [-44], [-14], [32], [4], [-16], [8], [-24], [22], [2], [-12], [-44], [-38], [16], [10], [-6], [-16], [32], [-10], [-6], [-12], [40], [50], [-6], [-38], [34], [-14], [28], [0], [44], [50], [48], [40], [28], [-22], [-12], [-30], [-2], [10], [44], [-12], [-56], [-14], [18], [0], [-8], [12], [50], [18], [-28], [-8], [-44], [-12], [24], [-42], [4], [-6], [12], [50], [-56], [36], [18], [14], [-48], [-10], [42], [0], [0], [52], [32], [54], [-26], [18], [-20], [-30], [-20], [-10], [32], [-58], [-14], [64], [-24], [-24], [-18], [28], [-2], [-60], [26], [-8], [-52], [-60], [60], [6], [-58], [2], [-36], [-36], [-14], [28], [52], [44], [44], [-48], [22], [-4], [-46], [60], [-18], [28], [24], [24], [44], [-6], [-48], [-56], [-24], [-14], [-18], [-20], [-26], [56], [-66], [-54], [-22], [-72], [36], [64], [-54], [42], [16], [-22], [-28], [4], [54], [42], [60], [70], [-4], [-62], [-74], [-74], [48], [-12], [-74], [24], [-20], [-64], [30], [20], [-72], [22], [18], [24], [42], [46], [-48], [20], [-32], [-20], [58], [30], [2], [-56], [-50], [-46], [-44], [-58], [60], [28], [34], [24], [-12], [-62], [52], [62], [2], [-30], [-24], [-56], [-72], [6], [-62], [68], [38], [2], [-10], [32], [30], [-12], [30], [42], [-14], [54], [-18], [48], [-42], [78], [-56], [-78], [-24], [-60], [-20], [-2], [-36], [-16], [0], [-38], [-16], [-78], [-18], [68], [-48], [52], [56], [32], [-46], [46], [18], [26], [-86], [44], [66], [-22], [-4], [-36], [-48], [-54], [14], [-22], [-68], [22], [68], [68], [-38], [64], [14], [-72], [38], [2], [26], [92], [66], [-28], [32], [-28], [64], [4], [-50], [22], [-10], [-72], [34], [72], [30], [-58], [-14], [56], [-46], [-32], [-8], [-36], [-4], [50], [58], [-16], [-14], [-84], [52], [0], [-10], [-40], [-2], [-84], [8], [8], [-36], [-68], [-44], [26], [-16], [58], [70], [90], [-4], [40], [-8], [-66], [26], [-68], [-44], [-80], [-40], [-50], [-40], [-54], [12], [-70], [-86], [18], [-40], [42], [-62], [12], [70], [-6], [-12], [-44], [-44], [62], [84], [20], [94], [36], [-8], [26], [18], [88], [-102], [50], [-32], [-30], [-30], [-52], [60], [38], [-20], [40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 45035996307262626, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3234.2.a.k', 'level': 3234, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [11, 1]], 6, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, -1]], 4, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [11, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 7, 2], [[[2, -1], [3, -1], [7, -1], [11, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, 1]], 4, 4], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [11, 1]], 2, 2]], 'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, 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mf_twists_nf • Show schema
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id: 1068323
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '3234.2.a.k', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '462.2.a.b', 'target_level': 462, 'twist_class_label': '462.2.a.b', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068324
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '3234.2.a.k', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1386.2.a.i', 'target_level': 1386, 'twist_class_label': '462.2.a.b', 'twist_class_level': 462, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1068325
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '3234.2.a.k', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3234.2.a.k', 'target_level': 3234, 'twist_class_label': '462.2.a.b', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1068326
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '3234.2.a.k', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3696.2.a.y', 'target_level': 3696, 'twist_class_label': '462.2.a.b', 'twist_class_level': 462, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1068327
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '3234.2.a.k', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '5082.2.a.s', 'target_level': 5082, 'twist_class_label': '462.2.a.b', 'twist_class_level': 462, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068328
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '3234.2.a.k', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '9702.2.a.bt', 'target_level': 9702, 'twist_class_label': '462.2.a.b', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074150
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 2}
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id: 3074151
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 3}
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id: 3074152
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 5}
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id: 3074153
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 7}
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id: 3074154
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 11}
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id: 3074155
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 13}
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id: 3074156
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 17}
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id: 3074157
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 19}
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id: 3074158
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 23}
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id: 3074159
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 29}
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id: 3074160
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 31}
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id: 3074161
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 37}
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id: 3074162
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 41}
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id: 3074163
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 43}
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id: 3074164
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 47}
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id: 3074165
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 53}
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id: 3074166
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 59}
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id: 3074167
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 61}
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id: 3074168
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 67}
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id: 3074169
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 71}
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id: 3074170
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 73}
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id: 3074171
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 79}
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id: 3074172
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 83}
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id: 3074173
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 89}
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id: 3074174
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 45035996307262626, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '3234.2.a.k', 'level': 3234, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 210681000
{'hecke_orbit_code': 45035996307262626, 'n': 1, 'trace_an': 1}
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id: 210681001
{'hecke_orbit_code': 45035996307262626, 'n': 2, 'trace_an': -1}
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id: 210681002
{'hecke_orbit_code': 45035996307262626, 'n': 3, 'trace_an': 1}
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id: 210681003
{'hecke_orbit_code': 45035996307262626, 'n': 4, 'trace_an': 1}
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id: 210681004
{'hecke_orbit_code': 45035996307262626, 'n': 5, 'trace_an': 0}
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id: 210681005
{'hecke_orbit_code': 45035996307262626, 'n': 6, 'trace_an': -1}
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id: 210681006
{'hecke_orbit_code': 45035996307262626, 'n': 7, 'trace_an': 0}
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id: 210681007
{'hecke_orbit_code': 45035996307262626, 'n': 8, 'trace_an': -1}
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id: 210681008
{'hecke_orbit_code': 45035996307262626, 'n': 9, 'trace_an': 1}
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id: 210681009
{'hecke_orbit_code': 45035996307262626, 'n': 10, 'trace_an': 0}
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id: 210681010
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id: 210681991
{'hecke_orbit_code': 45035996307262626, 'n': 992, 'trace_an': 6}
-
id: 210681992
{'hecke_orbit_code': 45035996307262626, 'n': 993, 'trace_an': -20}
-
id: 210681993
{'hecke_orbit_code': 45035996307262626, 'n': 994, 'trace_an': 0}
-
id: 210681994
{'hecke_orbit_code': 45035996307262626, 'n': 995, 'trace_an': 0}
-
id: 210681995
{'hecke_orbit_code': 45035996307262626, 'n': 996, 'trace_an': -14}
-
id: 210681996
{'hecke_orbit_code': 45035996307262626, 'n': 997, 'trace_an': -10}
-
id: 210681997
{'hecke_orbit_code': 45035996307262626, 'n': 998, 'trace_an': -4}
-
id: 210681998
{'hecke_orbit_code': 45035996307262626, 'n': 999, 'trace_an': -6}
-
id: 210681999
{'hecke_orbit_code': 45035996307262626, 'n': 1000, 'trace_an': 0}