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{'Nk2': 14508, 'analytic_conductor': 28.961740813118396, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [13, -1], [31, 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': [3627, 1, [1613, 3070, 1522], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 206371677133, 'field_disc_factorization': [[241, 1], [1373, 1], [623681, 1]], 'field_poly': [-4, 33, -36, -33, 37, 10, -11, -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, [-4, 33, -36, -33, 37, 10, -11, -1, 1]], [5, [-232, 346, 537, -126, -263, -35, 32, 11, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444115499, 'hecke_ring_generator_nbound': 2, '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': '3627.2.a.p', 'level': 3627, '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': [3, 13, 31], 'level_radical': 1209, 'minimal_twist': '403.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1-\\beta _{3}-\\beta _{7})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3627.2.a', 'trace_display': [1, 0, -11, -2], 'trace_hash': 1411857079101036637, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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-0.30247638567362206, -0.2540124918718252, -0.42087963919260907, -0.28423170590086094], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.6568749007631732, 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444115499, 'label': '3627.2.a.p.1.5', 'level': 3627, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [16, 14, 20, 10, 22, 23, 20, 25], 'Nk2': 14508, 'analytic_conductor': 28.961740813118396, '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': [3627, 1, [1613, 3070, 1522], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 441, 'dim': 150, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33558059, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 4, 5, 6, 6, 6, 7, 8, 8, 8, 10, 11, 11, 12, 14, 20], 'label': '3627.2.a', 'level': 3627, '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': [3, 13, 31], 'level_radical': 1209, 'mf_dim': 456, 'mf_new_dim': 150, 'num_forms': 23, 'plus_dim': 69, 'prim_orbit_index': 1, 'relative_dim': 150, 'sturm_bound': 896, 'trace_bound': 5, 'trace_display': [-2, 0, 0, -8], 'traces': [150, 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mf_twists_cc • Show schema
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id: 47899658
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67553994444115499, 'source_is_minimal': False, 'source_label': '3627.2.a.p.1.5', 'source_level': 3627, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67553994444115499, 'target_is_minimal': False, 'target_label': '3627.2.a.p.1.5', 'target_level': 3627, 'twist_class_label': '403.2.a.e.1.4', 'twist_class_level': 403, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47899659
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67553994444115499, 'source_is_minimal': False, 'source_label': '3627.2.a.p.1.5', 'source_level': 3627, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014398543036819, 'target_is_minimal': True, 'target_label': '403.2.a.e.1.4', 'target_level': 403, 'twist_class_label': '403.2.a.e.1.4', 'twist_class_level': 403, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47899660
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67553994444115499, 'source_is_minimal': False, 'source_label': '3627.2.a.p.1.5', 'source_level': 3627, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227305264, 'target_is_minimal': False, 'target_label': '6448.2.a.bd.1.2', 'target_level': 6448, 'twist_class_label': '403.2.a.e.1.4', 'twist_class_level': 403, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47899661
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67553994444115499, 'source_is_minimal': False, 'source_label': '3627.2.a.p.1.5', 'source_level': 3627, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36028797052523639, 'target_is_minimal': False, 'target_label': '5239.2.a.i.1.5', 'target_level': 5239, 'twist_class_label': '403.2.a.e.1.4', 'twist_class_level': 403, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3280550
{'charpoly_factorization': [[[-4, 33, -36, -33, 37, 10, -11, -1, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 2}
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id: 3280551
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 67553994444115499, 'p': 3}
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id: 3280552
{'charpoly_factorization': [[[-232, 346, 537, -126, -263, -35, 32, 11, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 5}
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id: 3280553
{'charpoly_factorization': [[[3824, 250, -2717, 185, 527, -42, -39, 2, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 7}
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id: 3280554
{'charpoly_factorization': [[[484, 319, -631, -267, 238, 51, -31, -2, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 11}
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id: 3280555
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 67553994444115499, 'p': 13}
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id: 3280556
{'charpoly_factorization': [[[-9064, -20046, -1393, 4864, 589, -349, -48, 7, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 17}
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id: 3280557
{'charpoly_factorization': [[[1616, -568, -4951, 1764, 1533, -232, -73, 5, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 19}
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id: 3280558
{'charpoly_factorization': [[[-171104, -37276, 34879, 9248, -1885, -678, 2, 14, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 23}
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id: 3280559
{'charpoly_factorization': [[[-428, -700, 3257, 232, -1550, -533, -14, 12, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 29}
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id: 3280560
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 67553994444115499, 'p': 31}
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id: 3280561
{'charpoly_factorization': [[[-2690, 10693, -4617, -2659, 1107, 161, -66, -2, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 37}
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id: 3280562
{'charpoly_factorization': [[[214652, -78708, -56379, 20463, 2854, -976, -71, 13, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 41}
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id: 3280563
{'charpoly_factorization': [[[-15488, -60804, -297, 19087, 2834, -740, -127, 5, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 43}
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id: 3280564
{'charpoly_factorization': [[[-7040, 488, 26089, 4123, -6578, -1118, 85, 23, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 47}
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id: 3280565
{'charpoly_factorization': [[[-354728, -131586, 139247, 31170, -10865, -2067, 70, 25, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 53}
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id: 3280566
{'charpoly_factorization': [[[3991768, -306434, -558165, -4450, 20139, 533, -252, -5, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 59}
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id: 3280567
{'charpoly_factorization': [[[360296, -255762, -220813, 82241, 15963, -1784, -240, 9, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 61}
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id: 3280568
{'charpoly_factorization': [[[2879368, 4314658, 426459, -239515, -7356, 4424, -98, -22, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 67}
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id: 3280569
{'charpoly_factorization': [[[183184, -161766, -251619, -54818, 8017, 2108, -123, -17, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 71}
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id: 3280570
{'charpoly_factorization': [[[-18442, -158445, -377005, -234362, -54015, -4519, 60, 27, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 73}
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id: 3280571
{'charpoly_factorization': [[[4121696, 4078386, 1241889, 80746, -22577, -3496, -1, 23, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 79}
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id: 3280572
{'charpoly_factorization': [[[1073104, 1440920, -187587, -198399, 28, 4056, -63, -25, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 83}
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id: 3280573
{'charpoly_factorization': [[[-14681734, -13417739, -2084566, 267802, 56173, -1530, -435, 2, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 89}
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id: 3280574
{'charpoly_factorization': [[[5096888, -4009002, -344577, 412000, 24426, -5446, -350, 15, 1], 1]], 'hecke_orbit_code': 67553994444115499, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '3627.2.a.p', 'level': 3627, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 60527035
{'hecke_orbit_code': 67553994444115499, 'n': 1, 'trace_an': 8}
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id: 60527036
{'hecke_orbit_code': 67553994444115499, 'n': 2, 'trace_an': 1}
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id: 60527037
{'hecke_orbit_code': 67553994444115499, 'n': 3, 'trace_an': 0}
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id: 60527038
{'hecke_orbit_code': 67553994444115499, 'n': 4, 'trace_an': 7}
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id: 60527039
{'hecke_orbit_code': 67553994444115499, 'n': 5, 'trace_an': -11}
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id: 60527040
{'hecke_orbit_code': 67553994444115499, 'n': 6, 'trace_an': 0}
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id: 60527041
{'hecke_orbit_code': 67553994444115499, 'n': 7, 'trace_an': -2}
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id: 60527042
{'hecke_orbit_code': 67553994444115499, 'n': 8, 'trace_an': 0}
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id: 60527043
{'hecke_orbit_code': 67553994444115499, 'n': 9, 'trace_an': 0}
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id: 60527044
{'hecke_orbit_code': 67553994444115499, 'n': 10, 'trace_an': -2}
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id: 60527045
{'hecke_orbit_code': 67553994444115499, 'n': 11, 'trace_an': 2}
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id: 60527046
{'hecke_orbit_code': 67553994444115499, 'n': 12, 'trace_an': 0}
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id: 60527047
{'hecke_orbit_code': 67553994444115499, 'n': 13, 'trace_an': 8}
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id: 60527048
{'hecke_orbit_code': 67553994444115499, 'n': 14, 'trace_an': -3}
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id: 60527049
{'hecke_orbit_code': 67553994444115499, 'n': 15, 'trace_an': 0}
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id: 60527050
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