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mf_newforms • Show schema
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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1045, 2, [837, 761, 496], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 419, 'conrey_indexes': [419], 'dim': 16, 'field_disc': 164097483710832480847138816, 'field_disc_factorization': [[2, 12], [23, 2], [257, 2], [283, 2], [119653, 2]], 'field_poly': [4, 0, 83, 0, 524, 0, 1146, 0, 1119, 0, 552, 0, 144, 0, 19, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, 0, 83, 0, 524, 0, 1146, 0, 1119, 0, 552, 0, 144, 0, 19, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668380402709, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1045.2.b.b', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.2.b.b', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{11}q^{3}+\\beta _{2}q^{4}+(\\beta _{3}+\\beta _{13}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1045.2.b', 'trace_display': [0, 0, 3, 0], 'trace_hash': 1130798511516715182, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.550', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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6, 4, -8, 8, 21, -1], [6, 0, 0, 0, -3, 0, -5, -6, -2, 13, 0, 0, -2, -2, 0, 0], [0, -23, 0, -10, 0, -20, 0, 0, 0, 0, 9, 0, 11, -11, -6, -6], [0, -10, 0, 17, 0, 8, 0, 0, 0, 0, 3, 4, -3, 3, 4, 7], [10, 0, 5, 0, 11, 0, 4, -4, 12, -8, 0, 0, 2, 2, 0, 0], [-14, 0, -9, 0, -24, 0, 4, -3, 0, 5, 0, 0, -11, -11, 0, 0], [12, 0, 10, 0, 12, 0, 5, -1, 0, -7, 0, 0, 1, 1, 0, 0], [0, 13, 0, -26, 0, -8, 0, 0, 0, 0, 5, -6, 15, -15, -8, -5], [0, 4, 0, -4, 0, 4, 0, 0, 0, 0, 2, 3, 9, -9, -10, 4], [22, 0, 14, 0, -4, 0, -11, 1, -8, -2, 0, 0, -5, -5, 0, 0], [0, 9, 0, 14, 0, 5, 0, 0, 0, 0, 7, -9, -4, 4, 10, 1], [-2, 0, 6, 0, -13, 0, 1, -2, -5, 6, 0, 0, -3, -3, 0, 0], [-10, 0, -5, 0, 7, 0, 11, 1, 14, -6, 0, 0, -1, -1, 0, 0], [0, -9, 0, 6, 0, 4, 0, 0, 0, 0, 3, 0, 2, -2, -4, 1], [-16, 0, -9, 0, 8, 0, 11, 12, -6, 3, 0, 0, 10, 10, 0, 0], [0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 10, -14, 2, -2, 4, 2], [0, -5, 0, -2, 0, 0, 0, 0, 0, 0, 2, 7, 9, -9, -15, -14], [0, 4, 0, 20, 0, 3, 0, 0, 0, 0, 0, 7, -11, 11, 10, -10], [12, 0, 18, 0, 14, 0, 5, 3, 13, -9, 0, 0, 5, 5, 0, 0]], 'char_orbit_index': 2, 'field_poly': [4, 0, 83, 0, 524, 0, 1146, 0, 1119, 0, 552, 0, 144, 0, 19, 0, 1], 'hecke_orbit_code': 4503668380402709, 'hecke_ring_character_values': [[837, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [761, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [496, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, -5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 17, 0, -6, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-28, 0, 23, 0, -7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -75, 0, 30, 0, -9, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0], [117, 0, -105, 0, 39, 0, -10, 0, -1, 1, 0, 0, 0, 0, 0, 0], [0, 337, 0, -144, 0, 58, 0, 0, 0, 0, 0, -12, -10, 10, 0, 1], [-498, 0, 481, 0, -201, 0, 70, 1, 13, -12, 0, 0, 0, 0, 0, 0], [0, -1530, 0, 684, 0, -329, 0, 0, 0, 0, 0, 96, 70, -70, 1, -14], [2141, 0, -2214, 0, 998, 0, -425, -15, -110, 96, 0, 0, 0, 0, 0, 0], [0, 6994, 0, -3241, 0, 1752, 0, 0, 0, 0, 1, -646, -425, 425, -15, 125], [-9266, 0, 10235, 0, -4853, 0, 2398, 141, 770, -646, 0, 0, 1, 1, 0, 0], [0, -32134, 0, 15353, 0, -9003, 0, 0, 0, 0, -19, 3955, 2398, -2398, 141, -911]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 6, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 12, 0, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, -60, 0, -163, 0, -165, 0, -72, 0, -14, 0, -1, 0, 0, 0], [7, 0, 104, 0, 246, 0, 215, 0, 84, 0, 15, 0, 1, 0, 0, 0], [13, 0, 134, 0, 277, 0, 225, 0, 85, 0, 15, 0, 1, 0, 0, 0], [0, -15, 0, -198, 0, -572, 0, -667, 0, -382, 0, -114, 0, -17, 0, -1], [0, -47, 0, -476, 0, -1128, 0, -1117, 0, -552, 0, -144, 0, -19, 0, -1], [30, 83, 396, 524, 1144, 1146, 1334, 1119, 764, 552, 228, 144, 34, 19, 2, 1], [30, -83, 396, -524, 1144, -1146, 1334, -1119, 764, -552, 228, -144, 34, -19, 2, -1], [0, -28, 0, -362, 0, -981, 0, -1047, 0, -538, 0, -143, 0, -19, 0, -1], [0, -34, 0, -440, 0, -1096, 0, -1107, 0, -551, 0, -144, 0, -19, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '1045.2.b.b', 'level': 1045, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1045, 2, [837, 761, 496], [1, 2, 2]], 'conrey_index': 419, 'cusp_dim': 116, 'dim': 92, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68753032213, 'hecke_orbit_dims': [4, 16, 20, 22, 30], 'label': '1045.2.b', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 124, 'mf_new_dim': 92, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 92, 'sturm_bound': 240, 'trace_bound': 1, 'trace_display': [0, 0, 6, 0], 'traces': [92, 0, 0, -96, 6, -8, 0, 0, -96, 8, 8, 0, 0, 16, -6, 96, 0, 0, 0, -16, -32, 0, 0, 24, -10, 0, 0, 0, 40, -32, 4, 0, 0, -56, -24, 192, 0, 0, 0, -32, -8, 0, 0, -12, -4, 56, 0, 0, -76, -8, 48, 0, 0, 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96, 0, 0, 56, 204, -676, 0, 0, 32, -266, -840, 0, 0, -280, 620, -260, 0, 0, 168, -40, 520, 0, 0, 340, -680, 168, 0, 0, 664, -404, -632, 0, 0, -44, -72, 1096, 0, 0, 1528, 16, -96, 0, 0, -336, -124, 64, 0, 0, -128, 472, -472, 0, 0, -72, -400, -116, 0, 0, -392, -64, 256, 0, 0, -384, 4], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 629542
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.2.b.b', 'source_level': 1045, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1045.2.b.b', 'target_level': 1045, 'twist_class_label': '1045.2.b.b', 'twist_class_level': 1045, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 629543
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.2.b.b', 'source_level': 1045, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1045.2.b.b', 'target_level': 1045, 'twist_class_label': '1045.2.b.b', 'twist_class_level': 1045, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629544
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.2.b.b', 'source_level': 1045, 'target_char_orbit': 1, 'target_dim': 16, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '5225.2.a.z', 'target_level': 5225, 'twist_class_label': '1045.2.b.b', 'twist_class_level': 1045, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1630025
{'charpoly_factorization': [[[4, 0, 83, 0, 524, 0, 1146, 0, 1119, 0, 552, 0, 144, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 2}
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id: 1630026
{'charpoly_factorization': [[[64, 0, 1764, 0, 8359, 0, 10408, 0, 5983, 0, 1849, 0, 316, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 3}
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id: 1630027
{'charpoly_factorization': [[[390625, -234375, 125000, -15625, 2500, 3625, 3800, -2705, 1942, -541, 152, 29, 4, -5, 8, -3, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 5}
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id: 1630028
{'charpoly_factorization': [[[64, 0, 4976, 0, 21900, 0, 28337, 0, 14949, 0, 3908, 0, 537, 0, 37, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 7}
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id: 1630029
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 4503668380402709, 'p': 11}
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id: 1630030
{'charpoly_factorization': [[[65536, 0, 438016, 0, 773284, 0, 560749, 0, 184540, 0, 29479, 0, 2287, 0, 81, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 13}
-
id: 1630031
{'charpoly_factorization': [[[6390784, 0, 24523520, 0, 20835292, 0, 7053981, 0, 1168244, 0, 102859, 0, 4843, 0, 113, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 17}
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id: 1630032
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 4503668380402709, 'p': 19}
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id: 1630033
{'charpoly_factorization': [[[1936, 0, 186672, 0, 2822767, 0, 11409873, 0, 2951461, 0, 276273, 0, 11120, 0, 181, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 23}
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id: 1630034
{'charpoly_factorization': [[[-784, 1876, 776, -2051, 570, 151, -59, -1, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 29}
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id: 1630035
{'charpoly_factorization': [[[-3104, -19452, 40499, 8843, -3629, -972, 6, 16, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 31}
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id: 1630036
{'charpoly_factorization': [[[476636224, 0, 773955900, 0, 438945343, 0, 107061868, 0, 11462539, 0, 598764, 0, 15893, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 37}
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id: 1630037
{'charpoly_factorization': [[[-3152, 13252, -8000, -2425, 1391, 157, -68, -3, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 41}
-
id: 1630038
{'charpoly_factorization': [[[277688896, 0, 8628416240, 0, 3874432012, 0, 659374457, 0, 52436339, 0, 1996502, 0, 36797, 0, 315, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 43}
-
id: 1630039
{'charpoly_factorization': [[[37937690176, 0, 28902696624, 0, 8210240892, 0, 1110538125, 0, 77749816, 0, 2806125, 0, 48492, 0, 374, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 47}
-
id: 1630040
{'charpoly_factorization': [[[32319410176, 0, 41909201344, 0, 15971706196, 0, 2044023125, 0, 119775800, 0, 3525595, 0, 52063, 0, 369, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 53}
-
id: 1630041
{'charpoly_factorization': [[[9973312, 2661196, -746833, -148223, 20955, 2498, -250, -12, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 59}
-
id: 1630042
{'charpoly_factorization': [[[269488, 26300, -216380, -135743, -32846, -3213, 3, 21, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 61}
-
id: 1630043
{'charpoly_factorization': [[[3129530826304, 0, 1155799732292, 0, 158517530011, 0, 10812950911, 0, 401315556, 0, 8204051, 0, 89127, 0, 479, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 67}
-
id: 1630044
{'charpoly_factorization': [[[1022368, -769388, -80135, 109333, -1453, -2797, -28, 23, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 71}
-
id: 1630045
{'charpoly_factorization': [[[3803560873984, 0, 16011297862400, 0, 1762119306352, 0, 78579467125, 0, 1815314882, 0, 23397804, 0, 169417, 0, 644, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 73}
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id: 1630046
{'charpoly_factorization': [[[143552, 145400, -389110, 226251, -48659, 2370, 328, -37, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 79}
-
id: 1630047
{'charpoly_factorization': [[[28036855560256, 0, 12138096253104, 0, 1633271181148, 0, 79819688637, 0, 1901499388, 0, 24672307, 0, 177747, 0, 665, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 83}
-
id: 1630048
{'charpoly_factorization': [[[-10084, -162824, -128017, -3533, 9080, 619, -163, -7, 1], 2]], 'hecke_orbit_code': 4503668380402709, 'p': 89}
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id: 1630049
{'charpoly_factorization': [[[574639907835904, 0, 125812288520940, 0, 9942700888443, 0, 364342500805, 0, 6910552192, 0, 70337053, 0, 379133, 0, 997, 0, 1], 1]], 'hecke_orbit_code': 4503668380402709, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 2, 'label': '1045.2.b.b', 'level': 1045, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 79051000
{'hecke_orbit_code': 4503668380402709, 'n': 1, 'trace_an': 16}
-
id: 79051001
{'hecke_orbit_code': 4503668380402709, 'n': 2, 'trace_an': 0}
-
id: 79051002
{'hecke_orbit_code': 4503668380402709, 'n': 3, 'trace_an': 0}
-
id: 79051003
{'hecke_orbit_code': 4503668380402709, 'n': 4, 'trace_an': -6}
-
id: 79051004
{'hecke_orbit_code': 4503668380402709, 'n': 5, 'trace_an': 3}
-
id: 79051005
{'hecke_orbit_code': 4503668380402709, 'n': 6, 'trace_an': -8}
-
id: 79051006
{'hecke_orbit_code': 4503668380402709, 'n': 7, 'trace_an': 0}
-
id: 79051007
{'hecke_orbit_code': 4503668380402709, 'n': 8, 'trace_an': 0}
-
id: 79051008
{'hecke_orbit_code': 4503668380402709, 'n': 9, 'trace_an': -8}
-
id: 79051009
{'hecke_orbit_code': 4503668380402709, 'n': 10, 'trace_an': 10}
-
id: 79051010
{'hecke_orbit_code': 4503668380402709, 'n': 11, 'trace_an': -16}
-
id: 79051011
{'hecke_orbit_code': 4503668380402709, 'n': 12, 'trace_an': 0}
-
id: 79051012
{'hecke_orbit_code': 4503668380402709, 'n': 13, 'trace_an': 0}
-
id: 79051013
{'hecke_orbit_code': 4503668380402709, 'n': 14, 'trace_an': 4}
-
id: 79051014
{'hecke_orbit_code': 4503668380402709, 'n': 15, 'trace_an': 3}
-
id: 79051015
{'hecke_orbit_code': 4503668380402709, 'n': 16, 'trace_an': -18}
-
id: 79051016
{'hecke_orbit_code': 4503668380402709, 'n': 17, 'trace_an': 0}
-
id: 79051017
{'hecke_orbit_code': 4503668380402709, 'n': 18, 'trace_an': 0}
-
id: 79051018
{'hecke_orbit_code': 4503668380402709, 'n': 19, 'trace_an': -16}
-
id: 79051019
{'hecke_orbit_code': 4503668380402709, 'n': 20, 'trace_an': -2}
-
id: 79051020
{'hecke_orbit_code': 4503668380402709, 'n': 21, 'trace_an': -10}
-
id: 79051021
{'hecke_orbit_code': 4503668380402709, 'n': 22, 'trace_an': 0}
-
id: 79051022
{'hecke_orbit_code': 4503668380402709, 'n': 23, 'trace_an': 0}
-
id: 79051023
{'hecke_orbit_code': 4503668380402709, 'n': 24, 'trace_an': 10}
-
id: 79051024
{'hecke_orbit_code': 4503668380402709, 'n': 25, 'trace_an': -7}
-
id: 79051025
{'hecke_orbit_code': 4503668380402709, 'n': 26, 'trace_an': -24}
-
id: 79051026
{'hecke_orbit_code': 4503668380402709, 'n': 27, 'trace_an': 0}
-
id: 79051027
{'hecke_orbit_code': 4503668380402709, 'n': 28, 'trace_an': 0}
-
id: 79051028
{'hecke_orbit_code': 4503668380402709, 'n': 29, 'trace_an': 2}
-
id: 79051029
{'hecke_orbit_code': 4503668380402709, 'n': 30, 'trace_an': 4}
-
id: 79051030
{'hecke_orbit_code': 4503668380402709, 'n': 31, 'trace_an': -32}
-
id: 79051031
{'hecke_orbit_code': 4503668380402709, 'n': 32, 'trace_an': 0}
-
id: 79051032
{'hecke_orbit_code': 4503668380402709, 'n': 33, 'trace_an': 0}
-
id: 79051033
{'hecke_orbit_code': 4503668380402709, 'n': 34, 'trace_an': -16}
-
id: 79051034
{'hecke_orbit_code': 4503668380402709, 'n': 35, 'trace_an': -18}
-
id: 79051035
{'hecke_orbit_code': 4503668380402709, 'n': 36, 'trace_an': 18}
-
id: 79051036
{'hecke_orbit_code': 4503668380402709, 'n': 37, 'trace_an': 0}
-
id: 79051037
{'hecke_orbit_code': 4503668380402709, 'n': 38, 'trace_an': 0}
-
id: 79051038
{'hecke_orbit_code': 4503668380402709, 'n': 39, 'trace_an': 40}
-
id: 79051039
{'hecke_orbit_code': 4503668380402709, 'n': 40, 'trace_an': -28}
-
id: 79051040
{'hecke_orbit_code': 4503668380402709, 'n': 41, 'trace_an': 6}
-
id: 79051041
{'hecke_orbit_code': 4503668380402709, 'n': 42, 'trace_an': 0}
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