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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 22, 'dim': 6, 'field_disc': -771147, 'field_disc_factorization': [[-1, 1], [3, 3], [13, 4]], 'field_poly': [1, 4, 15, 6, 5, -1, 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': [[2, [25, -15, 19, -4, 7, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511486110433553, '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, 13, 3, 1, 3, 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': True, 'label': '273.2.k.d', 'level': 273, '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': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '273.2.k.d', 'nf_label': '6.0.771147.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}-\\beta _{2}-\\beta _{3}+\\beta _{5})q^{2}-\\beta _{4}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '273.2.k', 'trace_display': [2, 3, 0, 3], 'trace_hash': 1711622444586081432, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.908', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.126', 'prec': 17}, {'__RealLiteral__': 0, 'data': '152.612', 'prec': 24}, {'__RealLiteral__': 0, 'data': '8.347', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6828.836', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [6, 2, 3, -4, 0, -2, 3, -6, -3, -13, 8, -8, 0, 4, 0, 6, -4, -4, 7, 13, 6, -1, -9, -3, 22, -26, -6, 4, 7, 13, -14, 3, -8, 12, 0, -4, 0, -8, 0, 26, -2, 2, 19, -30, 0, -7, -34, -6, -3, 16, -8, -26, 26, -2, 0, -3, 14, -22, 3, 26, -13, 17, 3, 2, 0, -2, -5, -1, 9, -26, -8, 3, -4, 13, 11, 18, 16, -13, -2, 26, -3, 36, 4, -4, -13, 34, -7, -21, 19, 26, 0, 24, -7, -7, 0, 6, -27, 2, -16, -45, -21, 6, -26, -39, 0, 26, 20, 4, -42, 52, 0, 12, 9, -4, -13, -62, 0, 30, 4, 13, 3, -52, 2, -21, -78, -2, 4, -27, 38, 13, 100, -15, -7, 38, 0, 4, -5, -14, -11, -13, -17, 50, 13, -12, -39, 3, 3, 26, 18, -16, -4, -33, -4, 1, -104, -13, 74, 47, 13, 26, -18, 2, 37, 40, 0, 23, -9, -6, 0, 26, 7, 34, -39, -44, 11, -16, 6, 22, 5, 13, -2, -13, -26, 22, 26, -17, -30, 53, -3, -130, 5, 1, -37, -10, 39, 8, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 3, 2]], 'conrey_index': 22, 'cusp_dim': 68, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322065, 'hecke_orbit_dims': [6, 6, 6, 6], 'label': '273.2.k', 'level': 273, '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': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 84, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 74, 'trace_bound': 3, 'trace_display': [4, 0, 16, 0], 'traces': [24, 4, 0, -8, 16, 0, 0, -24, -12, 4, -4, -16, 4, 0, -4, 8, -20, -8, 8, 20, 0, -4, -8, 0, 40, -20, 0, 0, -12, 16, -8, -12, -4, 32, 4, -8, -8, 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mf_twists_cc • Show schema
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id: 43424194
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433553, 'source_is_minimal': True, 'source_label': '273.2.k.d.211.3', 'source_level': 273, 'target_conrey_index': 211, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511486110433553, 'target_is_minimal': True, 'target_label': '273.2.k.d.211.3', 'target_level': 273, 'twist_class_label': '273.2.k.d.22.3', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43424195
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433553, 'source_is_minimal': True, 'source_label': '273.2.k.d.211.3', 'source_level': 273, 'target_conrey_index': 757, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988341043, 'target_is_minimal': False, 'target_label': '819.2.o.d.757.1', 'target_level': 819, 'twist_class_label': '273.2.k.d.22.3', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43424196
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433553, 'source_is_minimal': True, 'source_label': '273.2.k.d.211.3', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425151453, 'target_is_minimal': False, 'target_label': '3549.2.a.h.1.1', 'target_level': 3549, 'twist_class_label': '273.2.k.d.22.3', 'twist_class_level': 273, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43424197
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433553, 'source_is_minimal': True, 'source_label': '273.2.k.d.211.3', 'source_level': 273, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511486110433553, 'target_is_minimal': True, 'target_label': '273.2.k.d.22.3', 'target_level': 273, 'twist_class_label': '273.2.k.d.22.3', 'twist_class_level': 273, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43424198
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433553, 'source_is_minimal': True, 'source_label': '273.2.k.d.211.3', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326226909, 'target_is_minimal': False, 'target_label': '3549.2.a.s.1.3', 'target_level': 3549, 'twist_class_label': '273.2.k.d.22.3', 'twist_class_level': 273, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43424199
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511486110433553, 'source_is_minimal': True, 'source_label': '273.2.k.d.211.3', 'source_level': 273, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988341043, 'target_is_minimal': False, 'target_label': '819.2.o.d.568.1', 'target_level': 819, 'twist_class_label': '273.2.k.d.22.3', 'twist_class_level': 273, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 624175
{'charpoly_factorization': [[[25, -15, 19, -4, 7, -2, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 2}
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id: 624176
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 13511486110433553, 'p': 3}
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id: 624177
{'charpoly_factorization': [[[13, -13, 0, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 5}
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id: 624178
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 13511486110433553, 'p': 7}
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id: 624179
{'charpoly_factorization': [[[25, -85, 249, -126, 47, -8, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 11}
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id: 624180
{'charpoly_factorization': [[[2197, 0, 0, 65, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 13}
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id: 624181
{'charpoly_factorization': [[[1, -1, 5, 6, 15, 4, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 17}
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id: 624182
{'charpoly_factorization': [[[2209, -47, 330, -87, 50, -7, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 19}
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id: 624183
{'charpoly_factorization': [[[1, 14, 187, 124, 67, 9, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 23}
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id: 624184
{'charpoly_factorization': [[[25, 70, 161, 108, 63, -7, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 29}
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id: 624185
{'charpoly_factorization': [[[-281, -40, 7, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 31}
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id: 624186
{'charpoly_factorization': [[[169, -169, 169, -26, 13, 0, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 37}
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id: 624187
{'charpoly_factorization': [[[40000, 13600, 5024, 264, 72, 2, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 41}
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id: 624188
{'charpoly_factorization': [[[52441, -26564, 9105, -1746, 245, -19, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 43}
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id: 624189
{'charpoly_factorization': [[[-547, 14, 17, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 47}
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id: 624190
{'charpoly_factorization': [[[13, 39, -13, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 53}
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id: 624191
{'charpoly_factorization': [[[625, -250, 175, -20, 19, -3, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 59}
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id: 624192
{'charpoly_factorization': [[[169, -507, 1690, 533, 130, 13, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 61}
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id: 624193
{'charpoly_factorization': [[[156025, 29230, 7451, 420, 99, 5, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 67}
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id: 624194
{'charpoly_factorization': [[[265225, 58195, 16889, 126, 177, 8, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 71}
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id: 624195
{'charpoly_factorization': [[[73, -81, 2, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 73}
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id: 624196
{'charpoly_factorization': [[[-337, -290, 1, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 79}
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id: 624197
{'charpoly_factorization': [[[-229, -185, -2, 1], 2]], 'hecke_orbit_code': 13511486110433553, 'p': 83}
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id: 624198
{'charpoly_factorization': [[[1038361, -1019, 19362, -2019, 362, -19, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 89}
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id: 624199
{'charpoly_factorization': [[[358801, 137770, 36727, 5012, 499, 27, 1], 1]], 'hecke_orbit_code': 13511486110433553, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 4, 'label': '273.2.k.d', 'level': 273, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 37104505
{'hecke_orbit_code': 13511486110433553, 'n': 1, 'trace_an': 6}
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id: 37104506
{'hecke_orbit_code': 13511486110433553, 'n': 2, 'trace_an': 2}
-
id: 37104507
{'hecke_orbit_code': 13511486110433553, 'n': 3, 'trace_an': 3}
-
id: 37104508
{'hecke_orbit_code': 13511486110433553, 'n': 4, 'trace_an': -4}
-
id: 37104509
{'hecke_orbit_code': 13511486110433553, 'n': 5, 'trace_an': 0}
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id: 37104510
{'hecke_orbit_code': 13511486110433553, 'n': 6, 'trace_an': -2}
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id: 37104511
{'hecke_orbit_code': 13511486110433553, 'n': 7, 'trace_an': 3}
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id: 37104512
{'hecke_orbit_code': 13511486110433553, 'n': 8, 'trace_an': -6}
-
id: 37104513
{'hecke_orbit_code': 13511486110433553, 'n': 9, 'trace_an': -3}
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id: 37104514
{'hecke_orbit_code': 13511486110433553, 'n': 10, 'trace_an': -13}
-
id: 37104515
{'hecke_orbit_code': 13511486110433553, 'n': 11, 'trace_an': 8}
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id: 37104516
{'hecke_orbit_code': 13511486110433553, 'n': 12, 'trace_an': -8}
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id: 37104517
{'hecke_orbit_code': 13511486110433553, 'n': 13, 'trace_an': 0}
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id: 37104518
{'hecke_orbit_code': 13511486110433553, 'n': 14, 'trace_an': 4}
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id: 37104519
{'hecke_orbit_code': 13511486110433553, 'n': 15, 'trace_an': 0}
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id: 37104520
{'hecke_orbit_code': 13511486110433553, 'n': 16, 'trace_an': 6}
-
id: 37104521
{'hecke_orbit_code': 13511486110433553, 'n': 17, 'trace_an': -4}
-
id: 37104522
{'hecke_orbit_code': 13511486110433553, 'n': 18, 'trace_an': -4}
-
id: 37104523
{'hecke_orbit_code': 13511486110433553, 'n': 19, 'trace_an': 7}
-
id: 37104524
{'hecke_orbit_code': 13511486110433553, 'n': 20, 'trace_an': 13}
-
id: 37104525
{'hecke_orbit_code': 13511486110433553, 'n': 21, 'trace_an': 6}
-
id: 37104526
{'hecke_orbit_code': 13511486110433553, 'n': 22, 'trace_an': -1}
-
id: 37104527
{'hecke_orbit_code': 13511486110433553, 'n': 23, 'trace_an': -9}
-
id: 37104528
{'hecke_orbit_code': 13511486110433553, 'n': 24, 'trace_an': -3}
-
id: 37104529
{'hecke_orbit_code': 13511486110433553, 'n': 25, 'trace_an': 22}
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id: 37104530
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