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mf_newforms • Show schema
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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 4, 'field_disc': 190096, 'field_disc_factorization': [[2, 4], [109, 2]], 'field_poly': [729, 0, 55, 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': [[7, [189225, 0, 874, 0, 1]], [11, [-3860, -16, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103583135094015152, 'hecke_ring_generator_nbound': 37, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1200.4.f.x', 'level': 1200, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '600.4.a.s', 'nf_label': '4.0.190096.2', 'prim_orbit_index': 2, 'qexp_display': 'q+3\\beta _{1}q^{3}+(\\beta _{1}-\\beta _{2})q^{7}-9q^{9}+(8+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.4.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 517677619127348447, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.627', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [2, 2, 2, 1]], 'conrey_index': 49, 'cusp_dim': 684, 'dim': 54, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 343664493744, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], 'label': '1200.4.f', 'level': 1200, '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, 3, 5], 'level_radical': 30, 'mf_dim': 756, 'mf_new_dim': 54, 'num_forms': 24, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 960, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, 0, 0, 0, 0, 0, -486, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 284, 0, 636, 0, 0, 0, 0, 0, 0, 0, -312, 0, -356, 0, 0, 0, 0, 0, 0, 0, -2030, 0, 132, 0, 0, 0, 0, 0, 0, 0, 1376, 0, 756, 0, 0, 0, 0, 0, 0, 0, -528, 0, -224, 0, 0, 0, 0, 0, 0, 0, -2240, 0, 4374, 0, 0, 0, 0, 0, 0, 0, -1932, 0, -812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1940, 0, 0, 0, 0, 0, 0, 0, -212, 0, 2172, 0, 0, 0, 0, 0, 0, 0, -16072, 0, 7742, 0, 0, 0, 0, 0, 0, 0, 1488, 0, -3240, 0, 0, 0, 0, 0, 0, 0, 8760, 0, -2928, 0, 0, 0, 0, 0, 0, 0, 3292, 0, 9844, 0, 0, 0, 0, 0, 0, 0, -6516, 0, 9632, 0, 0, 0, 0, 0, 0, 0, -11410, 0, -2268, 0, 0, 0, 0, 0, 0, 0, 8624, 0, -10300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13080, 0, 0, 0, 0, 0, 0, 0, -28468, 0, 1968, 0, 0, 0, 0, 0, 0, 0, -11168, 0, -396, 0, 0, 0, 0, 0, 0, 0, 972, 0, 12984, 0, 0, 0, 0, 0, 0, 0, -2516, 0, 9720, 0, 0, 0, 0, 0, 0, 0, -21888, 0, 13908, 0, 0, 0, 0, 0, 0, 0, -1608, 0, 17688, 0, 0, 0, 0, 0, 0, 0, 44808, 0, -2556, 0, 0, 0, 0, 0, 0, 0, -4644, 0, 23360, 0, 0, 0, 0, 0, 0, 0, -5724, 0, -21524, 0, 0, 0, 0, 0, 0, 0, -34946, 0, -14040, 0, 0, 0, 0, 0, 0, 0, 23320, 0, 4960, 0, 0, 0, 0, 0, 0, 0, 9456, 0, -9288, 0, 0, 0, 0, 0, 0, 0, -7456, 0, 4536, 0, 0, 0, 0, 0, 0, 0, 7568, 0, -15256, 0, 0, 0, 0, 0, 0, 0, 15924, 0, -39216, 0, 0, 0, 0, 0, 0, 0, -4516, 0, 2808, 0, 0, 0, 0, 0, 0, 0, -30272, 0, -12762, 0, 0, 0, 0, 0, 0, 0, 3204, 0, -14336, 0, 0, 0, 0, 0, 0, 0, -17356, 0, 16608, 0, 0, 0, 0, 0, 0, 0, 39884, 0, 42704, 0, 0, 0, 0, 0, 0, 0, -32028, 0, 30668, 0, 0, 0, 0, 0, 0, 0, 35532, 0, -6252, 0, 0, 0, 0, 0, 0, 0, -13272, 0, -50060, 0, 0, 0, 0, 0, 0, 0, 12576, 0, -90824, 0, 0, 0, 0, 0, 0, 0, 1252, 0, 18270, 0, 0, 0, 0, 0, 0, 0, -7644, 0, -21584, 0, 0, 0, 0, 0, 0, 0, -1188, 0, -1596, 0, 0, 0, 0, 0, 0, 0, 53040, 0, 30768, 0, 0, 0, 0, 0, 0, 0, 123928, 0, 74456, 0, 0, 0, 0, 0, 0, 0, 5904, 0, 5352, 0, 0, 0, 0, 0, 0, 0, 30444, 0, -38640, 0, 0, 0, 0, 0, 0, 0, 14796, 0, -47944, 0, 0, 0, 0, 0, 0, 0, 20436, 0, -72468, 0, 0, 0, 0, 0, 0, 0, -18214, 0, -12384, 0, 0, 0, 0, 0, 0, 0, -45240, 0, 32196, 0, 0, 0, 0, 0, 0, 0, -6804, 0, -127128, 0, 0, 0, 0, 0, 0, 0, 10804, 0, 28464, 0, 0, 0, 0, 0, 0, 0, -18732, 0, -28924, 0, 0, 0, 0, 0, 0, 0, -6768, 0, -92160, 0, 0, 0, 0, 0, 0, 0, 35104, 0, 61164, 0, 0, 0, 0, 0, 0, 0, 133024, 0, -57852, 0, 0, 0, 0, 0, 0, 0, -34560, 0, 121544, 0, 0, 0, 0, 0, 0, 0, -43604, 0, 4752, 0, 0, 0, 0, 0, 0, 0, 107320, 0, 21308, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 113692, 0, 0, 0, 0, 0, 0, 0, -36320, 0, -51972, 0, 0, 0, 0, 0, 0, 0, -69800, 0, -174060, 0, 0, 0, 0, 0, 0, 0, 5472, 0, -130744, 0, 0, 0, 0, 0, 0, 0, 172900, 0, -27384, 0, 0, 0, 0, 0, 0, 0, -108872, 0, -106584, 0, 0, 0, 0, 0, 0, 0, 55140, 0, 7684, 0, 0, 0, 0, 0, 0, 0, 72476, 0, 20160, 0, 0, 0, 0, 0, 0, 0, 144136, 0, 147408, 0, 0, 0, 0, 0, 0, 0, -39366, 0, 265256, 0, 0, 0, 0, 0, 0, 0, -77464, 0, -20976, 0, 0, 0, 0, 0, 0, 0, -17264, 0, -96, 0, 0, 0, 0, 0, 0, 0, 3984, 0, -65204, 0, 0, 0, 0, 0, 0, 0, -8548, 0, -146484, 0, 0, 0, 0, 0, 0, 0, -329504, 0, 87136, 0, 0, 0, 0, 0, 0, 0, 37584, 0, -115344, 0, 0, 0, 0, 0, 0, 0, -7408, 0, 17388, 0, 0, 0, 0, 0, 0, 0, 35684, 0, 52116, 0, 0, 0, 0, 0, 0, 0, 7308, 0, -232732, 0, 0, 0, 0, 0, 0, 0, 59676, 0, 150216, 0, 0, 0, 0, 0, 0, 0, -12664, 0, -41718, 0, 0, 0, 0, 0, 0, 0, -10320, 0, 207792, 0, 0, 0, 0, 0, 0, 0, -87608, 0, 32016, 0, 0, 0, 0, 0, 0, 0, 72352, 0, 115692, 0, 0, 0, 0, 0, 0, 0, 3156, 0, 278972, 0, 0, 0, 0, 0, 0, 0, -4784, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69496, 0, -118200, 0, 0, 0, 0, 0, 0, 0, -17460, 0, -334456, 0, 0, 0, 0, 0, 0, 0, -120820, 0, -31584, 0, 0, 0, 0, 0, 0, 0, -219772, 0, -156464, 0, 0, 0, 0, 0, 0, 0, 41664, 0, 146484, 0, 0, 0, 0, 0, 0, 0, 150648, 0, 147204, 0, 0, 0, 0, 0, 0, 0, 110424, 0, 246910, 0, 0, 0, 0, 0, 0, 0, -720, 0, 391312, 0, 0, 0, 0, 0, 0, 0, -73744, 0, 1908, 0, 0, 0, 0, 0, 0, 0, -73328, 0, 411852, 0, 0, 0, 0, 0, 0, 0, -19548, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48520054
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103583135094015152, 'target_is_minimal': False, 'target_label': '1200.4.f.x.49.4', 'target_level': 1200, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48520055
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532740310827608, 'target_is_minimal': False, 'target_label': '600.4.f.j.49.1', 'target_level': 600, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48520056
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784044041392, 'target_is_minimal': False, 'target_label': '1200.4.a.br.1.1', 'target_level': 1200, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48520057
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584789300400, 'target_is_minimal': False, 'target_label': '1200.4.a.bp.1.2', 'target_level': 1200, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48520058
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583135094015152, 'target_is_minimal': False, 'target_label': '1200.4.f.x.49.1', 'target_level': 1200, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48520059
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112590334348756744, 'target_is_minimal': False, 'target_label': '1800.4.f.z.649.1', 'target_level': 1800, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48520060
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519384, 'target_is_minimal': True, 'target_label': '600.4.a.u.1.1', 'target_level': 600, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48520061
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793359778392, 'target_is_minimal': True, 'target_label': '600.4.a.s.1.2', 'target_level': 600, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48520062
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532740310827608, 'target_is_minimal': False, 'target_label': '600.4.f.j.49.4', 'target_level': 600, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48520063
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785907189512, 'target_is_minimal': False, 'target_label': '1800.4.a.bm.1.1', 'target_level': 1800, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48520064
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985161930504, 'target_is_minimal': False, 'target_label': '1800.4.a.bo.1.2', 'target_level': 1800, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48520065
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 103583135094015152, 'source_is_minimal': False, 'source_label': '1200.4.f.x.49.4', 'source_level': 1200, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 112590334348756744, 'target_is_minimal': False, 'target_label': '1800.4.f.z.649.4', 'target_level': 1800, 'twist_class_label': '600.4.a.s.1.2', 'twist_class_level': 600, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1765300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103583135094015152, 'p': 2}
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id: 1765301
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 3}
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id: 1765302
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103583135094015152, 'p': 5}
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id: 1765303
{'charpoly_factorization': [[[189225, 0, 874, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 7}
-
id: 1765304
{'charpoly_factorization': [[[-3860, -16, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 11}
-
id: 1765305
{'charpoly_factorization': [[[3969, 0, 6850, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 13}
-
id: 1765306
{'charpoly_factorization': [[[118461456, 0, 21832, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 17}
-
id: 1765307
{'charpoly_factorization': [[[10589, 210, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 19}
-
id: 1765308
{'charpoly_factorization': [[[1296, 0, 1672, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 23}
-
id: 1765309
{'charpoly_factorization': [[[13964, -240, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 29}
-
id: 1765310
{'charpoly_factorization': [[[-23435, 218, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 31}
-
id: 1765311
{'charpoly_factorization': [[[109746576, 0, 153448, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 37}
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id: 1765312
{'charpoly_factorization': [[[-2160, -84, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 41}
-
id: 1765313
{'charpoly_factorization': [[[61921161, 0, 59338, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 43}
-
id: 1765314
{'charpoly_factorization': [[[34339600, 0, 262856, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 47}
-
id: 1765315
{'charpoly_factorization': [[[2057529600, 0, 106416, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 53}
-
id: 1765316
{'charpoly_factorization': [[[265860, 1084, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 59}
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id: 1765317
{'charpoly_factorization': [[[142793, -774, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 61}
-
id: 1765318
{'charpoly_factorization': [[[343230767881, 0, 1215818, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 67}
-
id: 1765319
{'charpoly_factorization': [[[-59760, 1108, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 71}
-
id: 1765320
{'charpoly_factorization': [[[2008832400, 0, 152424, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 73}
-
id: 1765321
{'charpoly_factorization': [[[99072, 1328, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 79}
-
id: 1765322
{'charpoly_factorization': [[[199155127824, 0, 893320, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 83}
-
id: 1765323
{'charpoly_factorization': [[[499968, 1424, 1], 2]], 'hecke_orbit_code': 103583135094015152, 'p': 89}
-
id: 1765324
{'charpoly_factorization': [[[1670838026881, 0, 3031682, 0, 1], 1]], 'hecke_orbit_code': 103583135094015152, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 24, 'label': '1200.4.f.x', 'level': 1200, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 66282241
{'hecke_orbit_code': 103583135094015152, 'n': 1, 'trace_an': 4}
-
id: 66282242
{'hecke_orbit_code': 103583135094015152, 'n': 2, 'trace_an': 0}
-
id: 66282243
{'hecke_orbit_code': 103583135094015152, 'n': 3, 'trace_an': 0}
-
id: 66282244
{'hecke_orbit_code': 103583135094015152, 'n': 4, 'trace_an': 0}
-
id: 66282245
{'hecke_orbit_code': 103583135094015152, 'n': 5, 'trace_an': 0}
-
id: 66282246
{'hecke_orbit_code': 103583135094015152, 'n': 6, 'trace_an': 0}
-
id: 66282247
{'hecke_orbit_code': 103583135094015152, 'n': 7, 'trace_an': 0}
-
id: 66282248
{'hecke_orbit_code': 103583135094015152, 'n': 8, 'trace_an': 0}
-
id: 66282249
{'hecke_orbit_code': 103583135094015152, 'n': 9, 'trace_an': -36}
-
id: 66282250
{'hecke_orbit_code': 103583135094015152, 'n': 10, 'trace_an': 0}
-
id: 66282251
{'hecke_orbit_code': 103583135094015152, 'n': 11, 'trace_an': 32}
-
id: 66282252
{'hecke_orbit_code': 103583135094015152, 'n': 12, 'trace_an': 0}
-
id: 66282253
{'hecke_orbit_code': 103583135094015152, 'n': 13, 'trace_an': 0}
-
id: 66282254
{'hecke_orbit_code': 103583135094015152, 'n': 14, 'trace_an': 0}
-
id: 66282255
{'hecke_orbit_code': 103583135094015152, 'n': 15, 'trace_an': 0}
-
id: 66282256
{'hecke_orbit_code': 103583135094015152, 'n': 16, 'trace_an': 0}
-
id: 66282257
{'hecke_orbit_code': 103583135094015152, 'n': 17, 'trace_an': 0}
-
id: 66282258
{'hecke_orbit_code': 103583135094015152, 'n': 18, 'trace_an': 0}
-
id: 66282259
{'hecke_orbit_code': 103583135094015152, 'n': 19, 'trace_an': -420}
-
id: 66282260
{'hecke_orbit_code': 103583135094015152, 'n': 20, 'trace_an': 0}
-
id: 66282261
{'hecke_orbit_code': 103583135094015152, 'n': 21, 'trace_an': -12}
-
id: 66282262
{'hecke_orbit_code': 103583135094015152, 'n': 22, 'trace_an': 0}
-
id: 66282263
{'hecke_orbit_code': 103583135094015152, 'n': 23, 'trace_an': 0}
-
id: 66282264
{'hecke_orbit_code': 103583135094015152, 'n': 24, 'trace_an': 0}
-
id: 66282265
{'hecke_orbit_code': 103583135094015152, 'n': 25, 'trace_an': 0}
-
id: 66282266
{'hecke_orbit_code': 103583135094015152, 'n': 26, 'trace_an': 0}
-
id: 66282267
{'hecke_orbit_code': 103583135094015152, 'n': 27, 'trace_an': 0}
-
id: 66282268
{'hecke_orbit_code': 103583135094015152, 'n': 28, 'trace_an': 0}
-
id: 66282269
{'hecke_orbit_code': 103583135094015152, 'n': 29, 'trace_an': 480}
-
id: 66282270
{'hecke_orbit_code': 103583135094015152, 'n': 30, 'trace_an': 0}
-
id: 66282271
{'hecke_orbit_code': 103583135094015152, 'n': 31, 'trace_an': -436}
-
id: 66282272
{'hecke_orbit_code': 103583135094015152, 'n': 32, 'trace_an': 0}
-
id: 66282273
{'hecke_orbit_code': 103583135094015152, 'n': 33, 'trace_an': 0}
-
id: 66282274
{'hecke_orbit_code': 103583135094015152, 'n': 34, 'trace_an': 0}
-
id: 66282275
{'hecke_orbit_code': 103583135094015152, 'n': 35, 'trace_an': 0}
-
id: 66282276
{'hecke_orbit_code': 103583135094015152, 'n': 36, 'trace_an': 0}
-
id: 66282277
{'hecke_orbit_code': 103583135094015152, 'n': 37, 'trace_an': 0}
-
id: 66282278
{'hecke_orbit_code': 103583135094015152, 'n': 38, 'trace_an': 0}
-
id: 66282279
{'hecke_orbit_code': 103583135094015152, 'n': 39, 'trace_an': -492}
-
id: 66282280
{'hecke_orbit_code': 103583135094015152, 'n': 40, 'trace_an': 0}
-
id: 66282281
{'hecke_orbit_code': 103583135094015152, 'n': 41, 'trace_an': 168}
-
id: 66282282
{'hecke_orbit_code': 103583135094015152, 'n': 42, 'trace_an': 0}
-
id: 66282283
{'hecke_orbit_code': 103583135094015152, 'n': 43, 'trace_an': 0}
-
id: 66282284
{'hecke_orbit_code': 103583135094015152, 'n': 44, 'trace_an': 0}
-
id: 66282285
{'hecke_orbit_code': 103583135094015152, 'n': 45, 'trace_an': 0}
-
id: 66282286
{'hecke_orbit_code': 103583135094015152, 'n': 46, 'trace_an': 0}
-
id: 66282287
{'hecke_orbit_code': 103583135094015152, 'n': 47, 'trace_an': 0}
-
id: 66282288
{'hecke_orbit_code': 103583135094015152, 'n': 48, 'trace_an': 0}
-
id: 66282289
{'hecke_orbit_code': 103583135094015152, 'n': 49, 'trace_an': -376}
-
id: 66282290
{'hecke_orbit_code': 103583135094015152, 'n': 50, 'trace_an': 0}
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