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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 211, 'conrey_indexes': [211, 295], 'dim': 4, 'field_disc': 16641, 'field_disc_factorization': [[3, 2], [43, 2]], 'field_poly': [121, -11, -10, -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': [[5, [2, 1]], [11, [1024, -32, 33, 1, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036752221504034, 'hecke_ring_generator_nbound': 13, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.l.k', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.l.k', 'nf_label': '4.0.16641.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{2}+\\beta _{2}q^{3}+(-1+\\beta _{2})q^{4}-2q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.l', 'trace_display': [-2, 2, -8, 2], 'trace_hash': 1866441404401072066, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.848', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.415', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.175', 'prec': 20}, {'__RealLiteral__': 0, 'data': '65.946', 'prec': 20}, 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mf_hecke_cc • Show schema
Hide schema
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45036752221504034, 'label': '546.2.l.k.211.1', 'level': 546, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 3, 1]], 'conrey_index': 211, 'cusp_dim': 208, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 755947799074, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '546.2.l', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 240, 'mf_new_dim': 32, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [-4, 0, -8, 0], 'traces': [32, -4, 0, -16, -8, 0, 0, 8, -16, 4, 8, 0, 4, 0, 8, -16, 12, 8, -16, 4, 0, -8, 8, 0, 40, -20, 0, 0, 4, -8, 0, -4, 8, 8, -8, -16, 4, -16, -8, -8, -4, -4, -4, -16, 4, 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-8, -8, -112, -224, -8, 56, -60, 48, 48, -32, 0, 32, 0, -32, 8, -168, 56, 108, 104, 8, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47232222
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036752221504034, 'source_is_minimal': True, 'source_label': '546.2.l.k.211.1', 'source_level': 546, 'target_conrey_index': 211, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036752221504034, 'target_is_minimal': True, 'target_label': '546.2.l.k.211.1', 'target_level': 546, 'twist_class_label': '546.2.l.k.211.1', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47232223
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036752221504034, 'source_is_minimal': True, 'source_label': '546.2.l.k.211.1', 'source_level': 546, 'target_conrey_index': 757, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117094758576293478, 'target_is_minimal': False, 'target_label': '1638.2.r.ba.757.2', 'target_level': 1638, 'twist_class_label': '546.2.l.k.211.1', 'twist_class_level': 546, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47232224
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036752221504034, 'source_is_minimal': True, 'source_label': '546.2.l.k.211.1', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010492858, 'target_is_minimal': False, 'target_label': '7098.2.a.br.1.2', 'target_level': 7098, 'twist_class_label': '546.2.l.k.211.1', 'twist_class_level': 546, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47232225
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036752221504034, 'source_is_minimal': True, 'source_label': '546.2.l.k.211.1', 'source_level': 546, 'target_conrey_index': 295, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036752221504034, 'target_is_minimal': True, 'target_label': '546.2.l.k.295.1', 'target_level': 546, 'twist_class_label': '546.2.l.k.211.1', 'twist_class_level': 546, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47232226
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036752221504034, 'source_is_minimal': True, 'source_label': '546.2.l.k.211.1', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618899386, 'target_is_minimal': False, 'target_label': '7098.2.a.bk.1.1', 'target_level': 7098, 'twist_class_label': '546.2.l.k.211.1', 'twist_class_level': 546, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 47232227
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036752221504034, 'source_is_minimal': True, 'source_label': '546.2.l.k.211.1', 'source_level': 546, 'target_conrey_index': 1387, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117094758576293478, 'target_is_minimal': False, 'target_label': '1638.2.r.ba.1387.2', 'target_level': 1638, 'twist_class_label': '546.2.l.k.211.1', 'twist_class_level': 546, '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: 1027675
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 2}
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id: 1027676
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 3}
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id: 1027677
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 45036752221504034, 'p': 5}
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id: 1027678
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 7}
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id: 1027679
{'charpoly_factorization': [[[1024, -32, 33, 1, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 11}
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id: 1027680
{'charpoly_factorization': [[[13, 3, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 13}
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id: 1027681
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 17}
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id: 1027682
{'charpoly_factorization': [[[676, 130, 51, -5, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 19}
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id: 1027683
{'charpoly_factorization': [[[676, 130, 51, -5, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 23}
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id: 1027684
{'charpoly_factorization': [[[676, -130, 51, 5, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 29}
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id: 1027685
{'charpoly_factorization': [[[-30, 3, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 31}
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id: 1027686
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 37}
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id: 1027687
{'charpoly_factorization': [[[900, 90, 39, -3, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 41}
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id: 1027688
{'charpoly_factorization': [[[100, 130, 159, 13, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 43}
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id: 1027689
{'charpoly_factorization': [[[-30, 3, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 47}
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id: 1027690
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 45036752221504034, 'p': 53}
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id: 1027691
{'charpoly_factorization': [[[100, -130, 159, -13, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 59}
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id: 1027692
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 61}
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id: 1027693
{'charpoly_factorization': [[[3364, -1102, 303, -19, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 67}
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id: 1027694
{'charpoly_factorization': [[[400, -140, 69, 7, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 71}
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id: 1027695
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 45036752221504034, 'p': 73}
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id: 1027696
{'charpoly_factorization': [[[24, -15, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 79}
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id: 1027697
{'charpoly_factorization': [[[-32, -1, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 83}
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id: 1027698
{'charpoly_factorization': [[[81, 9, 1], 2]], 'hecke_orbit_code': 45036752221504034, 'p': 89}
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id: 1027699
{'charpoly_factorization': [[[16384, -256, 132, 2, 1], 1]], 'hecke_orbit_code': 45036752221504034, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 11, 'label': '546.2.l.k', 'level': 546, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 215375000
{'hecke_orbit_code': 45036752221504034, 'n': 1, 'trace_an': 4}
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id: 215375001
{'hecke_orbit_code': 45036752221504034, 'n': 2, 'trace_an': -2}
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id: 215375002
{'hecke_orbit_code': 45036752221504034, 'n': 3, 'trace_an': 2}
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id: 215375003
{'hecke_orbit_code': 45036752221504034, 'n': 4, 'trace_an': -2}
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id: 215375004
{'hecke_orbit_code': 45036752221504034, 'n': 5, 'trace_an': -8}
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id: 215375005
{'hecke_orbit_code': 45036752221504034, 'n': 6, 'trace_an': 2}
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id: 215375006
{'hecke_orbit_code': 45036752221504034, 'n': 7, 'trace_an': 2}
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id: 215375007
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{'hecke_orbit_code': 45036752221504034, 'n': 995, 'trace_an': 74}
-
id: 215375995
{'hecke_orbit_code': 45036752221504034, 'n': 996, 'trace_an': -2}
-
id: 215375996
{'hecke_orbit_code': 45036752221504034, 'n': 997, 'trace_an': -70}
-
id: 215375997
{'hecke_orbit_code': 45036752221504034, 'n': 998, 'trace_an': -5}
-
id: 215375998
{'hecke_orbit_code': 45036752221504034, 'n': 999, 'trace_an': 4}
-
id: 215375999
{'hecke_orbit_code': 45036752221504034, 'n': 1000, 'trace_an': 48}