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mf_newforms • Show schema
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{'Nk2': 2800, 'analytic_conductor': 10.325334251004607, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [7, 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': [175, 1, [127, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 4353457440, 'field_disc_factorization': [[2, 5], [3, 1], [5, 1], [9069703, 1]], 'field_poly': [60, 120, 7, -27, -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': [[2, [160, 54, -70, -21, 4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797086073007, 'hecke_ring_generator_nbound': 3, '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': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '175.4.a.i', 'level': 175, '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': [5, 7], 'level_radical': 35, 'minimal_twist': '35.4.b.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(-2+\\beta _{3})q^{3}+(4+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '175.4.a', 'trace_display': [-4, -10, 0, -35], 'trace_hash': 2003375054294571877, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.604', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0], [-1, 1, 0, 0, 0], [-2, 0, 0, 1, 0], [4, -1, 1, -1, 0], [0, 0, 0, 0, 0], [2, -4, -1, 0, -1], [-7, 0, 0, 0, 0], [-10, 3, -3, -1, 2], [4, 0, -2, -4, 1], [0, 0, 0, 0, 0], [9, -6, 0, -4, 3], [-27, -2, -2, 1, -1], [-4, -6, 2, 1, -6], [7, -7, 0, 0, 0], [0, 0, 0, 0, 0], [20, -17, 7, 5, -2], [-45, -12, 2, 0, 1], [2, 1, 11, 1, 2], [-5, -6, -4, 9, -9], [0, 0, 0, 0, 0], [14, 0, 0, -7, 0], [-75, 14, 1, -3, 4], [-32, -2, -6, -20, 4], [-5, -6, 10, 9, 5], [0, 0, 0, 0, 0], [-68, 10, -19, 20, 1], [-65, 6, 16, -6, 1], [-28, 7, -7, 7, 0], [-21, 50, 4, 4, 15], [0, 0, 0, 0, 0], [12, 20, 16, -6, -4], [-148, 23, -21, 17, -14], [-87, 6, 8, 14, 11], [-93, -36, -17, 5, 2], [0, 0, 0, 0, 0], [-56, 53, -15, 3, 2], [-58, -34, -10, -18, 2], [-49, -34, -12, 41, -13], [-27, 48, 6, -26, -13], [0, 0, 0, 0, 0], [-96, 56, -8, -2, -10], [-14, 28, 7, 0, 7], [-62, 16, -8, -10, -18], [154, -20, 18, 4, -20], [0, 0, 0, 0, 0], [28, -26, 40, 2, 14], [-73, -22, -20, 28, -3], [125, 38, -24, -37, 9], [49, 0, 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mf_newspaces • Show schema
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{'ALdims': [8, 5, 7, 9], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 3, 3, 3], 'ALdims_old': [7, 7, 5, 6], 'Nk2': 2800, 'analytic_conductor': 10.325334251004607, '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': [175, 1, [127, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 54, 'dim': 29, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67109039, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 4, 4, 5, 5], 'label': '175.4.a', 'level': 175, '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': [5, 7], 'level_radical': 35, 'mf_dim': 66, 'mf_new_dim': 29, 'num_forms': 10, 'plus_dim': 17, 'prim_orbit_index': 1, 'relative_dim': 29, 'sturm_bound': 80, 'trace_bound': 2, 'trace_display': [-5, 6, 0, -7], 'traces': [29, -5, 6, 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-53544, 14396, 108598, 0, 1757, -153296, 87076, -52566, 0, 135632, -19584, -125141, -162260, 0, -14022, 4330, -14658, -256266, 0, -308712, -97478, -58360, -109740, 0, -290670, 53552, 81876, -190120, 0, -238980, 38248, -242784, -203744, 0, -209852, 279076, 104032, 82026, 0, 393688, 23888, 50176, -3320, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 145705
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.4.b.a', 'target_level': 35, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 145706
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '175.4.a.i', 'target_level': 175, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 145707
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '175.4.a.j', 'target_level': 175, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 145708
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '245.4.b.d', 'target_level': 245, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 145709
{'conductor': 35, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.4.j.e', 'target_level': 245, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 145710
{'conductor': 35, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '245.4.j.f', 'target_level': 245, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 145711
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 4, 'target_dim': 10, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '315.4.d.c', 'target_level': 315, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 145712
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 7, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '560.4.g.f', 'target_level': 560, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 145713
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '1225.4.a.be', 'target_level': 1225, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 145714
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '1225.4.a.bh', 'target_level': 1225, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 145715
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '1575.4.a.bn', 'target_level': 1575, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 145716
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '175.4.a.i', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '1575.4.a.bq', 'target_level': 1575, 'twist_class_label': '35.4.b.a', 'twist_class_level': 35, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 448475
{'charpoly_factorization': [[[160, 54, -70, -21, 4, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 2}
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id: 448476
{'charpoly_factorization': [[[1408, 250, -332, -29, 10, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 3}
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id: 448477
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 36028797086073007, 'p': 5}
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id: 448478
{'charpoly_factorization': [[[7, 1], 5]], 'hecke_orbit_code': 36028797086073007, 'p': 7}
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id: 448479
{'charpoly_factorization': [[[11139072, -2556120, 151744, -2271, -42, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 11}
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id: 448480
{'charpoly_factorization': [[[51332920, 12637182, -110628, -7833, 34, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 13}
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id: 448481
{'charpoly_factorization': [[[-359983792, -13947116, 280000, 17661, 238, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 17}
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id: 448482
{'charpoly_factorization': [[[-20133120, 25860480, -559016, -17350, 36, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 19}
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id: 448483
{'charpoly_factorization': [[[8730849408, -89085840, -4958624, -26576, 152, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 23}
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id: 448484
{'charpoly_factorization': [[[126081243400, 3091734660, -5833934, -116015, 44, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 29}
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id: 448485
{'charpoly_factorization': [[[-34433580800, 702456160, 2609376, -55252, -60, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 31}
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id: 448486
{'charpoly_factorization': [[[-43388412544, -1798149040, -19065088, -33656, 312, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 37}
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id: 448487
{'charpoly_factorization': [[[109849343072, 1393269808, -20801472, -49296, 426, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 41}
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id: 448488
{'charpoly_factorization': [[[49627325440, 1150153088, -10245312, -65464, 304, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 43}
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id: 448489
{'charpoly_factorization': [[[-32437777344, 1348012344, -11149552, -55271, 370, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 47}
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id: 448490
{'charpoly_factorization': [[[744413184, -2037401808, 1952, 218304, 976, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 53}
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id: 448491
{'charpoly_factorization': [[[5009454255200, 21489149320, -86786880, -326194, 432, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 59}
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id: 448492
{'charpoly_factorization': [[[-650238065792, 19755334368, -112894860, -335946, 442, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 61}
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id: 448493
{'charpoly_factorization': [[[-15885557727232, 12807378944, 264826208, -330908, -804, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 67}
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id: 448494
{'charpoly_factorization': [[[-7767441797120, 17322075136, 137133520, -322148, -440, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 71}
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id: 448495
{'charpoly_factorization': [[[9409174483008, 10181835312, -303814144, -522880, 564, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 73}
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id: 448496
{'charpoly_factorization': [[[201540544400, 3796827580, -140645456, 901605, -1790, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 79}
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id: 448497
{'charpoly_factorization': [[[2803375323136, -37239922784, -71440368, 607322, 1656, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 83}
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id: 448498
{'charpoly_factorization': [[[68855772276480, -772186731840, 2230467656, -1791620, -746, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 89}
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id: 448499
{'charpoly_factorization': [[[-12547593502192, -145582253644, -551745096, -612787, 518, 1], 1]], 'hecke_orbit_code': 36028797086073007, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '175.4.a.i', 'level': 175, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 51554053
{'hecke_orbit_code': 36028797086073007, 'n': 1, 'trace_an': 5}
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id: 51554054
{'hecke_orbit_code': 36028797086073007, 'n': 2, 'trace_an': -4}
-
id: 51554055
{'hecke_orbit_code': 36028797086073007, 'n': 3, 'trace_an': -10}
-
id: 51554056
{'hecke_orbit_code': 36028797086073007, 'n': 4, 'trace_an': 18}
-
id: 51554057
{'hecke_orbit_code': 36028797086073007, 'n': 5, 'trace_an': 0}
-
id: 51554058
{'hecke_orbit_code': 36028797086073007, 'n': 6, 'trace_an': 6}
-
id: 51554059
{'hecke_orbit_code': 36028797086073007, 'n': 7, 'trace_an': -35}
-
id: 51554060
{'hecke_orbit_code': 36028797086073007, 'n': 8, 'trace_an': -42}
-
id: 51554061
{'hecke_orbit_code': 36028797086073007, 'n': 9, 'trace_an': 23}
-
id: 51554062
{'hecke_orbit_code': 36028797086073007, 'n': 10, 'trace_an': 0}
-
id: 51554063
{'hecke_orbit_code': 36028797086073007, 'n': 11, 'trace_an': 42}
-
id: 51554064
{'hecke_orbit_code': 36028797086073007, 'n': 12, 'trace_an': -136}
-
id: 51554065
{'hecke_orbit_code': 36028797086073007, 'n': 13, 'trace_an': -34}
-
id: 51554066
{'hecke_orbit_code': 36028797086073007, 'n': 14, 'trace_an': 28}
-
id: 51554067
{'hecke_orbit_code': 36028797086073007, 'n': 15, 'trace_an': 0}
-
id: 51554068
{'hecke_orbit_code': 36028797086073007, 'n': 16, 'trace_an': 74}
-
id: 51554069
{'hecke_orbit_code': 36028797086073007, 'n': 17, 'trace_an': -238}
-
id: 51554070
{'hecke_orbit_code': 36028797086073007, 'n': 18, 'trace_an': 2}
-
id: 51554071
{'hecke_orbit_code': 36028797086073007, 'n': 19, 'trace_an': -36}
-
id: 51554072
{'hecke_orbit_code': 36028797086073007, 'n': 20, 'trace_an': 0}
-
id: 51554073
{'hecke_orbit_code': 36028797086073007, 'n': 21, 'trace_an': 70}
-
id: 51554074
{'hecke_orbit_code': 36028797086073007, 'n': 22, 'trace_an': -358}
-
id: 51554075
{'hecke_orbit_code': 36028797086073007, 'n': 23, 'trace_an': -152}
-
id: 51554076
{'hecke_orbit_code': 36028797086073007, 'n': 24, 'trace_an': -36}
-
id: 51554077
{'hecke_orbit_code': 36028797086073007, 'n': 25, 'trace_an': 0}
-
id: 51554078
{'hecke_orbit_code': 36028797086073007, 'n': 26, 'trace_an': -310}
-
id: 51554079
{'hecke_orbit_code': 36028797086073007, 'n': 27, 'trace_an': -334}
-
id: 51554080
{'hecke_orbit_code': 36028797086073007, 'n': 28, 'trace_an': -126}
-
id: 51554081
{'hecke_orbit_code': 36028797086073007, 'n': 29, 'trace_an': -44}
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