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mf_newforms • Show schema
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{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 9, 'char_parity': 1, 'char_values': [74, 9, [39], [8]], 'cm_discs': [], 'conrey_index': 7, 'conrey_indexes': [7, 9, 33, 49, 53, 71], 'dim': 12, 'field_disc': 12929666408933481, 'field_disc_factorization': [[3, 18], [53, 2], [109, 2]], 'field_poly': [15625, 0, -15000, 0, 6600, 0, -1687, 0, 264, 0, -24, 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': [[3, [4096, -3072, 1536, -512, 384, 504, -151, -126, 24, 8, 6, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308682, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 6, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '74.2.f.b', 'level': 74, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.f.b', 'prim_orbit_index': 6, 'qexp_display': 'q+(\\beta _{4}-\\beta _{7})q^{2}+(-1+\\beta _{1}-\\beta _{8})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.f', 'trace_display': [0, -3, -6, 6], 'trace_hash': 934234719306220093, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.666', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '384.351', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'char_conductor': 37, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 9, 'char_parity': 1, 'char_values': [74, 9, [39], [8]], 'conrey_index': 7, 'cusp_dim': 42, 'dim': 18, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 343630938186, 'hecke_orbit_dims': [6, 12], 'label': '74.2.f', 'level': 74, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 66, 'mf_new_dim': 18, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 3, 'sturm_bound': 19, 'trace_bound': 1, 'trace_display': [0, -6, -3, 12], 'traces': [18, 0, -6, 0, -3, 0, 12, -3, -6, -6, -6, -6, -6, 6, -12, 0, -3, 0, 6, -3, -30, 0, -36, 0, 15, -9, 6, -6, 6, 24, 24, 0, 54, -3, -6, 18, 6, 48, -6, 18, -15, -36, 48, -6, -6, 18, 6, 0, -12, 18, 0, 12, -24, -36, -18, 0, -24, -21, -12, 0, 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mf_twists_cc • Show schema
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id: 35200796
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 53, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308682, 'target_is_minimal': True, 'target_label': '74.2.f.b.53.2', 'target_level': 74, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35200797
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 127, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023178345743002, 'target_is_minimal': False, 'target_label': '666.2.x.g.127.2', 'target_level': 666, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35200798
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 497, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512723061015120, 'target_is_minimal': False, 'target_label': '592.2.bc.d.497.1', 'target_level': 592, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35200799
{'conductor': 37, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308682, 'target_is_minimal': True, 'target_label': '74.2.f.b.7.2', 'target_level': 74, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '37.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35200800
{'conductor': 37, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953596594, 'target_is_minimal': False, 'target_label': '2738.2.a.t.1.2', 'target_level': 2738, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '37.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 35200801
{'conductor': 37, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071485106, 'target_is_minimal': False, 'target_label': '2738.2.a.q.1.2', 'target_level': 2738, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '37.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 35200802
{'conductor': 111, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 451, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023178345743002, 'target_is_minimal': False, 'target_label': '666.2.x.g.451.2', 'target_level': 666, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '111.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 35200803
{'conductor': 148, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308682, 'source_is_minimal': True, 'source_label': '74.2.f.b.53.2', 'source_level': 74, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512723061015120, 'target_is_minimal': False, 'target_label': '592.2.bc.d.81.1', 'target_level': 592, 'twist_class_label': '74.2.f.b.7.2', 'twist_class_level': 74, 'twisting_char_label': '148.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 229625
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308682, 'p': 2}
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id: 229626
{'charpoly_factorization': [[[4096, -3072, 1536, -512, 384, 504, -151, -126, 24, 8, 6, 3, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 3}
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id: 229627
{'charpoly_factorization': [[[1, -3, 3, 8, 6, 3, 1], 2]], 'hecke_orbit_code': 4503943258308682, 'p': 5}
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id: 229628
{'charpoly_factorization': [[[4096, 9216, 6144, -12736, 9840, 9120, 713, 201, 234, -116, 24, -6, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 7}
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id: 229629
{'charpoly_factorization': [[[4096, 6144, 17664, -7936, 19440, 468, 4121, -192, 555, -2, 33, -3, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 11}
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id: 229630
{'charpoly_factorization': [[[516961, -260997, 268602, -82217, 39897, -1296, 3810, 1359, 324, -173, -24, 6, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 13}
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id: 229631
{'charpoly_factorization': [[[26569, 123717, 212247, 157413, 70263, 25302, 7802, 1623, 306, 57, 18, 3, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 17}
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id: 229632
{'charpoly_factorization': [[[4096, -70656, 290304, 602112, 527184, -35052, 64061, -2031, 846, 228, -9, 3, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 19}
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id: 229633
{'charpoly_factorization': [[[4096, -18432, 82176, -46336, 87408, 88308, 116673, 47448, 13689, 2354, 297, 21, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 23}
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id: 229634
{'charpoly_factorization': [[[1369, 8436, 40551, 64236, 77217, 36678, 15914, 1920, 771, -24, 60, -6, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 29}
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id: 229635
{'charpoly_factorization': [[[130112, -36192, -6252, 1717, 24, -21, 1], 2]], 'hecke_orbit_code': 4503943258308682, 'p': 31}
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id: 229636
{'charpoly_factorization': [[[2565726409, 208031871, 56224830, 3849628, 554445, -68931, -55623, -1863, 405, 76, 30, 3, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 37}
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id: 229637
{'charpoly_factorization': [[[466905664, -845045664, 518850720, -125853152, 39044148, 2126166, -277417, 47067, 17499, 1904, 216, 21, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 41}
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id: 229638
{'charpoly_factorization': [[[8704, 2880, -3744, 639, 51, -18, 1], 2]], 'hecke_orbit_code': 4503943258308682, 'p': 43}
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id: 229639
{'charpoly_factorization': [[[6890328064, 2414536704, 1365077760, -11691776, 57198576, -1047444, 1504349, -61077, 22854, -781, 222, -9, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 47}
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id: 229640
{'charpoly_factorization': [[[289, -4641, 31704, 12653, 37995, 43722, 12152, -855, 618, 109, 6, 6, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 53}
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id: 229641
{'charpoly_factorization': [[[1183744, -470016, 3482112, 1035776, -661728, 11760, 122441, -20001, 702, 448, 12, 6, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 59}
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id: 229642
{'charpoly_factorization': [[[2801373184, -2319516672, -197237760, 397140608, 85066560, 2247168, 845249, 90957, 29076, 3337, 363, 18, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 61}
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id: 229643
{'charpoly_factorization': [[[262144, -294912, 5591040, 3059712, -1362048, -2805912, 728657, 393138, 64491, 6039, 444, 27, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 67}
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id: 229644
{'charpoly_factorization': [[[262144, 0, 2457600, 2801664, 1099776, -555264, -144064, 25920, 10752, 1440, 192, 18, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 71}
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id: 229645
{'charpoly_factorization': [[[216289, 14274, -22314, 2493, 108, -27, 1], 2]], 'hecke_orbit_code': 4503943258308682, 'p': 73}
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id: 229646
{'charpoly_factorization': [[[95883264, 63452160, 31104000, 10473408, 27216, -168264, 413577, 10368, 12510, -201, -54, 12, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 79}
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id: 229647
{'charpoly_factorization': [[[1183744, -1410048, 28416, 2169344, 905280, 1356, 138749, -7941, 2862, 232, -24, 6, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 83}
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id: 229648
{'charpoly_factorization': [[[48144697561, -15169532565, 5187598077, -488412795, 20763798, 28208724, 2539241, 70692, -9186, -3063, -3, 15, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 89}
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id: 229649
{'charpoly_factorization': [[[7529536, -16134720, 32845680, -15585920, 11620644, 7935438, 4593803, 1129785, 209841, 18728, 1215, 42, 1], 1]], 'hecke_orbit_code': 4503943258308682, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '74.2.f.b', 'level': 74, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 86646000
{'hecke_orbit_code': 4503943258308682, 'n': 1, 'trace_an': 12}
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id: 86646001
{'hecke_orbit_code': 4503943258308682, 'n': 2, 'trace_an': 0}
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id: 86646002
{'hecke_orbit_code': 4503943258308682, 'n': 3, 'trace_an': -3}
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id: 86646003
{'hecke_orbit_code': 4503943258308682, 'n': 4, 'trace_an': 0}
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id: 86646004
{'hecke_orbit_code': 4503943258308682, 'n': 5, 'trace_an': -6}
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id: 86646005
{'hecke_orbit_code': 4503943258308682, 'n': 6, 'trace_an': 0}
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id: 86646006
{'hecke_orbit_code': 4503943258308682, 'n': 7, 'trace_an': 6}
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id: 86646007
{'hecke_orbit_code': 4503943258308682, 'n': 8, 'trace_an': -6}
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id: 86646008
{'hecke_orbit_code': 4503943258308682, 'n': 9, 'trace_an': -3}
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id: 86646009
{'hecke_orbit_code': 4503943258308682, 'n': 10, 'trace_an': 0}
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id: 86646010
{'hecke_orbit_code': 4503943258308682, 'n': 11, 'trace_an': 3}
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id: 86646011
{'hecke_orbit_code': 4503943258308682, 'n': 12, 'trace_an': -3}
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id: 86646012
{'hecke_orbit_code': 4503943258308682, 'n': 13, 'trace_an': -6}
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id: 86646013
{'hecke_orbit_code': 4503943258308682, 'n': 14, 'trace_an': 3}
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id: 86646014
{'hecke_orbit_code': 4503943258308682, 'n': 15, 'trace_an': 6}
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id: 86646015
{'hecke_orbit_code': 4503943258308682, 'n': 16, 'trace_an': 0}
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id: 86646016
{'hecke_orbit_code': 4503943258308682, 'n': 17, 'trace_an': -3}
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id: 86646017
{'hecke_orbit_code': 4503943258308682, 'n': 18, 'trace_an': 6}
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id: 86646018
{'hecke_orbit_code': 4503943258308682, 'n': 19, 'trace_an': -3}
-
id: 86646019
{'hecke_orbit_code': 4503943258308682, 'n': 20, 'trace_an': -6}
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id: 86646020
{'hecke_orbit_code': 4503943258308682, 'n': 21, 'trace_an': -33}
-
id: 86646021
{'hecke_orbit_code': 4503943258308682, 'n': 22, 'trace_an': -3}
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id: 86646022
{'hecke_orbit_code': 4503943258308682, 'n': 23, 'trace_an': -21}
-
id: 86646023
{'hecke_orbit_code': 4503943258308682, 'n': 24, 'trace_an': -3}
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id: 86646024
{'hecke_orbit_code': 4503943258308682, 'n': 25, 'trace_an': -6}
-
id: 86646025
{'hecke_orbit_code': 4503943258308682, 'n': 26, 'trace_an': 0}
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id: 86646026
{'hecke_orbit_code': 4503943258308682, 'n': 27, 'trace_an': 3}
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id: 86646027
{'hecke_orbit_code': 4503943258308682, 'n': 28, 'trace_an': -3}
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id: 86646028
{'hecke_orbit_code': 4503943258308682, 'n': 29, 'trace_an': 6}
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id: 86646029
{'hecke_orbit_code': 4503943258308682, 'n': 30, 'trace_an': 6}
-
id: 86646030
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