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{'Nk2': 5920, 'analytic_conductor': 11.817859499149497, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [37, 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': [1480, 1, [1111, 741, 297, 1001], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 693982032, 'field_disc_factorization': [[2, 4], [3, 1], [14457959, 1]], 'field_poly': [-44, -18, 60, 12, -16, -1, 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': [[3, [-44, -18, 60, 12, -16, -1, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260872, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1480.2.a.k', 'level': 1480, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '1480.2.a.k', 'nf_label': '6.6.693982032.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+q^{5}+(1+\\beta _{2})q^{7}+(2+\\beta _{3}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1480.2.a', 'trace_display': [0, 1, 6, 8], 'trace_hash': 1489519086187149725, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.128', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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[13, 8, 9, -7, -1, -8], [-26, 10, -12, 6, 0, 6], [30, -12, -12, -6, 12, 6], [-4, -2, 0, 0, -2, -4], [-10, -4, 4, 12, -20, 8], [11, -12, 10, -8, 13, 6], [-6, -2, -11, -8, 3, 0], [-12, 2, 0, 6, -6, -10], [6, -18, 13, 14, 9, 18], [-5, -4, 12, -3, 6, 2], [38, 16, -15, 0, 7, -6], [14, 22, 4, -8, 0, -2], [-60, -11, -1, 2, 1, 10]], 'char_orbit_index': 1, 'field_poly': [-44, -18, 60, 12, -16, -1, 1], 'hecke_orbit_code': 45035996307260872, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 98, 49, 49, 49], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [5, 0, 0, 1, -1, 1], [1, 9, 0, 2, 1, 0], [41, -1, 4, 13, -12, 12], [9, 93, 2, 29, 8, -4]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [500, 82, -304, 4, 25, -1], [-69, -115, 20, -8, -1, 2], [89, -211, -40, 65, 2, -4], [-87, -96, -11, 73, 3, -6]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1480.2.a.k', 'level': 1480, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 6, 6, 2, 5, 5, 5, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [21, 25, 21, 27, 27, 19, 23, 22], 'Nk2': 5920, 'analytic_conductor': 11.817859499149497, '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': [1480, 1, [1111, 741, 297, 1001], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 36, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555912, 'hecke_orbit_dims': [1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 6], 'label': '1480.2.a', 'level': 1480, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 236, 'mf_new_dim': 36, 'num_forms': 11, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 456, 'trace_bound': 5, 'trace_display': [0, -4, -2, 0], 'traces': [36, 0, -4, 0, -2, 0, 0, 0, 44, 0, -4, 0, -4, 0, 0, 0, -4, 0, -12, 0, -8, 0, -8, 0, 36, 0, -16, 0, 4, 0, -8, 0, 8, 0, 12, 0, -2, 0, 24, 0, 4, 0, -16, 0, 6, 0, 16, 0, 16, 0, 0, 0, 4, 0, 0, 0, 16, 0, 20, 0, -4, 0, 0, 0, 0, 0, -28, 0, 56, 0, 16, 0, 16, 0, -4, 0, 64, 0, 24, 0, 68, 0, -20, 0, 0, 0, 0, 0, 48, 0, -32, 0, 24, 0, 0, 0, 36, 0, -28, 0, 16, 0, -8, 0, 0, 0, -28, 0, -44, 0, 0, 0, -4, 0, 0, 0, -20, 0, 0, 0, 0, 0, -56, 0, -2, 0, 0, 0, -16, 0, -28, 0, -40, 0, 24, 0, 16, 0, -20, 0, 16, 0, 0, 0, -12, 0, -36, 0, 32, 0, -16, 0, -4, 0, -8, 0, -76, 0, 0, 0, -24, 0, -56, 0, 16, 0, 8, 0, 12, 0, -68, 0, 60, 0, 0, 0, 32, 0, -20, 0, -16, 0, 0, 0, -8, 0, 0, 0, 40, 0, 16, 0, 44, 0, -24, 0, -12, 0, -24, 0, -16, 0, 56, 0, 12, 0, 56, 0, 32, 0, -84, 0, -64, 0, -8, 0, -32, 0, 32, 0, 8, 0, -32, 0, 44, 0, 56, 0, 64, 0, 80, 0, -16, 0, 12, 0, 56, 0, 96, 0, -72, 0, 28, 0, -2, 0, -72, 0, 24, 0, -44, 0, -80, 0, -40, 0, -36, 0, 0, 0, -76, 0, 128, 0, -24, 0, 24, 0, -48, 0, 40, 0, -96, 0, -4, 0, -4, 0, -136, 0, -40, 0, -8, 0, -16, 0, 64, 0, 80, 0, 0, 0, -52, 0, 0, 0, 96, 0, 48, 0, -56, 0, 16, 0, -4, 0, -60, 0, -24, 0, -136, 0, -36, 0, -4, 0, -68, 0, 40, 0, 0, 0, -128, 0, -4, 0, -32, 0, -8, 0, 84, 0, -10, 0, 8, 0, 8, 0, -128, 0, 0, 0, -72, 0, -16, 0, 144, 0, -48, 0, 104, 0, 68, 0, 16, 0, -96, 0, 16, 0, -12, 0, -92, 0, -12, 0, -32, 0, -84, 0, 4, 0, -60, 0, 0, 0, 64, 0, -16, 0, -64, 0, 184, 0, -8, 0, -208, 0, -100, 0, 96, 0, 160, 0, -36, 0, 84, 0, -80, 0, 8, 0, -56, 0, 14, 0, 0, 0, -64, 0, -56, 0, -40, 0, 32, 0, -88, 0, -32, 0, -44, 0, 112, 0, -4, 0, -56, 0, -80, 0, -24, 0, 0, 0, 24, 0, 24, 0, -136, 0, 80, 0, -4, 0, 36, 0, -32, 0, -48, 0, -68, 0, 64, 0, -16, 0, -76, 0, -184, 0, 52, 0, 24, 0, -40, 0, -120, 0, 176, 0, 16, 0, 32, 0, -12, 0, 20, 0, 24, 0, 0, 0, 80, 0, -16, 0, 88, 0, -48, 0, 112, 0, 48, 0, 0, 0, 32, 0, 36, 0, 88, 0, 56, 0, -60, 0, -228, 0, -48, 0, -24, 0, -16, 0, -40, 0, 48, 0, -16, 0, -4, 0, -96, 0, -8, 0, 208, 0, -28, 0, 132, 0, 104, 0, -48, 0, -144, 0, 0, 0, 68, 0, -128, 0, 36, 0, -16, 0, -68, 0, 96, 0, -96, 0, 12, 0, -84, 0, 24, 0, 56, 0, 48, 0, -16, 0, 200, 0, -40, 0, -20, 0, -104, 0, -8, 0, -84, 0, -64, 0, -32, 0, 216, 0, 8, 0, 48, 0, 24, 0, -56, 0, -64, 0, -44, 0, -40, 0, 64, 0, -156, 0, 172, 0, -58, 0, -40, 0, -168, 0, 216, 0, 84, 0, -72, 0, 112, 0, -92, 0, 96, 0, 208, 0, 36, 0, 144, 0, 0, 0, 16, 0, -40, 0, 60, 0, -4, 0, 24, 0, -60, 0, 120, 0, 32, 0, 88, 0, 128, 0, 80, 0, -92, 0, 0, 0, -144, 0, -136, 0, 164, 0, 280, 0, -16, 0, -72, 0, -136, 0, 168, 0, 0, 0, -16, 0, 20, 0, 72, 0, 160, 0, 0, 0, 36, 0, 320, 0, 40, 0, -84, 0, 256, 0, 0, 0, 168, 0, -24, 0, -140, 0, 0, 0, 8, 0, 96, 0, 36, 0, 88, 0, 32, 0, 40, 0, -152, 0, 112, 0, -144, 0, -200, 0, 4, 0, 72, 0, 116, 0, -44, 0, 84, 0, 88, 0, -32, 0, -60, 0, 16, 0, -16, 0, 44, 0, -204, 0, -16, 0, -24, 0, -128, 0, 112, 0, 180, 0, 240, 0, -28, 0, -200, 0, 32, 0, -144, 0, -16, 0, 24, 0, 44, 0, -8, 0, -16, 0, 208, 0, 64, 0, 64, 0, -8, 0, 92, 0, -56, 0, 128, 0, 0, 0, -32, 0, -68, 0, 72, 0, 112, 0, -56, 0, -48, 0, -176, 0, 80, 0, -120, 0, -112, 0, -80, 0, 240, 0, -8, 0, 208, 0, -24, 0, 8, 0, 216, 0, 180, 0, 104, 0, -100, 0, -24, 0, -32, 0, -104, 0, 80, 0, 264, 0, -14, 0, 56, 0, -248, 0, 0, 0, -124, 0, 104, 0, 4, 0, 68, 0, -272, 0, 80, 0, -16, 0, -76, 0, 0, 0, -24, 0, -28, 0, 12, 0, -28, 0, 184, 0, -100, 0, -8, 0, 16, 0, 152, 0, -56, 0, 28, 0, 104, 0, 16, 0, -352, 0, 36, 0, 0, 0, -352, 0, 28, 0, -8, 0, -24, 0, 120, 0, 176, 0, -120, 0, 200, 0, 8, 0, -40, 0, 288, 0, -2, 0, 120, 0, -12, 0, -340, 0, -104, 0, -24, 0, -56, 0, 136, 0, -160, 0, 64, 0, 64, 0, 56, 0, 136, 0, 104, 0, -152, 0, -24, 0, -96, 0, 280, 0, 8, 0, 84, 0, 40, 0, 56, 0, 256, 0, 52, 0, 80, 0, 24, 0, -4, 0, -72, 0, -44, 0, -168, 0, 0, 0, 200, 0, 128, 0, -152, 0, -224, 0, -36, 0, 100, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 744858
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1480.2.a.k', 'source_level': 1480, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1480.2.a.k', 'target_level': 1480, 'twist_class_label': '1480.2.a.k', 'twist_class_level': 1480, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 744859
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1480.2.a.k', 'source_level': 1480, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2960.2.a.bc', 'target_level': 2960, 'twist_class_label': '1480.2.a.k', 'twist_class_level': 1480, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 744860
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1480.2.a.k', 'source_level': 1480, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '7400.2.a.s', 'target_level': 7400, 'twist_class_label': '1480.2.a.k', 'twist_class_level': 1480, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1982775
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 45035996307260872, 'p': 2}
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id: 1982776
{'charpoly_factorization': [[[-44, -18, 60, 12, -16, -1, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 3}
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id: 1982777
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 45035996307260872, 'p': 5}
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id: 1982778
{'charpoly_factorization': [[[302, -138, -144, 76, 7, -8, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 7}
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id: 1982779
{'charpoly_factorization': [[[-96, 144, 80, -64, -33, 0, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 11}
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id: 1982780
{'charpoly_factorization': [[[384, -648, -260, 180, 4, -10, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 13}
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id: 1982781
{'charpoly_factorization': [[[-464, -492, 160, 160, -44, -3, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 17}
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id: 1982782
{'charpoly_factorization': [[[-64, 412, 110, -110, -18, 6, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 19}
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id: 1982783
{'charpoly_factorization': [[[-576, -1920, 560, 304, -76, -4, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 23}
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id: 1982784
{'charpoly_factorization': [[[32, -240, 352, -64, -74, -3, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 29}
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id: 1982785
{'charpoly_factorization': [[[5496, 6762, 1876, -268, -92, 3, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 31}
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id: 1982786
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 45035996307260872, 'p': 37}
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id: 1982787
{'charpoly_factorization': [[[81504, -33744, -1216, 1632, -123, -10, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 41}
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id: 1982788
{'charpoly_factorization': [[[-51488, 29136, 1840, -1800, -154, 11, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 43}
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id: 1982789
{'charpoly_factorization': [[[-37784, 35826, -10256, 732, 128, -23, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 47}
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id: 1982790
{'charpoly_factorization': [[[1296, -3168, 232, 392, -39, -10, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 53}
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id: 1982791
{'charpoly_factorization': [[[-128, 2808, -3566, 1294, -134, -6, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 59}
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id: 1982792
{'charpoly_factorization': [[[576, -816, -224, 368, -80, -1, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 61}
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id: 1982793
{'charpoly_factorization': [[[44544, 31680, 2414, -1474, -202, 4, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 67}
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id: 1982794
{'charpoly_factorization': [[[4224, -7488, 1088, 504, -74, -9, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 71}
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id: 1982795
{'charpoly_factorization': [[[-300672, 1584, 22832, 1440, -252, -11, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 73}
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id: 1982796
{'charpoly_factorization': [[[5632, -25088, -13926, -2378, -82, 14, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 79}
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id: 1982797
{'charpoly_factorization': [[[-9624, 13086, 8044, 684, -146, -11, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 83}
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id: 1982798
{'charpoly_factorization': [[[1147008, -175584, -26800, 4880, 48, -30, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 89}
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id: 1982799
{'charpoly_factorization': [[[1463296, -200736, -29136, 4896, 44, -29, 1], 1]], 'hecke_orbit_code': 45035996307260872, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1480.2.a.k', 'level': 1480, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54164755
{'hecke_orbit_code': 45035996307260872, 'n': 1, 'trace_an': 6}
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id: 54164756
{'hecke_orbit_code': 45035996307260872, 'n': 2, 'trace_an': 0}
-
id: 54164757
{'hecke_orbit_code': 45035996307260872, 'n': 3, 'trace_an': 1}
-
id: 54164758
{'hecke_orbit_code': 45035996307260872, 'n': 4, 'trace_an': 0}
-
id: 54164759
{'hecke_orbit_code': 45035996307260872, 'n': 5, 'trace_an': 6}
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id: 54164760
{'hecke_orbit_code': 45035996307260872, 'n': 6, 'trace_an': 0}
-
id: 54164761
{'hecke_orbit_code': 45035996307260872, 'n': 7, 'trace_an': 8}
-
id: 54164762
{'hecke_orbit_code': 45035996307260872, 'n': 8, 'trace_an': 0}
-
id: 54164763
{'hecke_orbit_code': 45035996307260872, 'n': 9, 'trace_an': 15}
-
id: 54164764
{'hecke_orbit_code': 45035996307260872, 'n': 10, 'trace_an': 0}
-
id: 54164765
{'hecke_orbit_code': 45035996307260872, 'n': 11, 'trace_an': 0}
-
id: 54164766
{'hecke_orbit_code': 45035996307260872, 'n': 12, 'trace_an': 0}
-
id: 54164767
{'hecke_orbit_code': 45035996307260872, 'n': 13, 'trace_an': 10}
-
id: 54164768
{'hecke_orbit_code': 45035996307260872, 'n': 14, 'trace_an': 0}
-
id: 54164769
{'hecke_orbit_code': 45035996307260872, 'n': 15, 'trace_an': 1}
-
id: 54164770
{'hecke_orbit_code': 45035996307260872, 'n': 16, 'trace_an': 0}
-
id: 54164771
{'hecke_orbit_code': 45035996307260872, 'n': 17, 'trace_an': 3}
-
id: 54164772
{'hecke_orbit_code': 45035996307260872, 'n': 18, 'trace_an': 0}
-
id: 54164773
{'hecke_orbit_code': 45035996307260872, 'n': 19, 'trace_an': -6}
-
id: 54164774
{'hecke_orbit_code': 45035996307260872, 'n': 20, 'trace_an': 0}
-
id: 54164775
{'hecke_orbit_code': 45035996307260872, 'n': 21, 'trace_an': 9}
-
id: 54164776
{'hecke_orbit_code': 45035996307260872, 'n': 22, 'trace_an': 0}
-
id: 54164777
{'hecke_orbit_code': 45035996307260872, 'n': 23, 'trace_an': 4}
-
id: 54164778
{'hecke_orbit_code': 45035996307260872, 'n': 24, 'trace_an': 0}
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