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mf_newforms • Show schema
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{'Nk2': 1089, 'analytic_conductor': 3.2970111987595927, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 10, 'char_parity': -1, 'char_values': [121, 10, [2], [7]], 'cm_discs': [], 'conrey_index': 40, 'dim': 8, 'field_disc': 64000000, 'field_disc_factorization': [[2, 12], [5, 6]], 'field_poly': [16, 0, -8, 0, 4, 0, -2, 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': [[2, [16, 0, -8, 0, 4, 0, -2, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014604718243961, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 3, 11, 3, 1, 5, 0], [1, 3, 11, 4, -1, 10, 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': '121.3.d.e', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'minimal_twist': '121.3.b.a', 'nf_label': '8.0.64000000.1', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{1}q^{2}+(1-\\beta _{2}+\\beta _{4}-\\beta _{6})q^{3}-2\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '121.3.d', 'trace_display': [0, 2, 14, 0], 'trace_hash': 1713447931982100534, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.916', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.322', 'prec': 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mf_hecke_cc • Show schema
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-0.04218484802419766], 'char_orbit_index': 4, 'conrey_index': 94, 'dual_conrey_index': 112, 'dual_embedding_index': 1, 'dual_embedding_m': 5, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 0.4370160244488211, 'embedding_root_real': -1.3449970239279148, 'hecke_orbit': 5, 'hecke_orbit_code': 18014604718243961, 'label': '121.3.d.e.94.1', 'level': 121, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1089, 'analytic_conductor': 3.2970111987595927, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 10, 'char_parity': -1, 'char_values': [121, 10, [2], [7]], 'conrey_index': 40, 'cusp_dim': 64, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206208761977, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 32], 'label': '121.3.d', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 112, 'mf_new_dim': 88, 'num_forms': 6, 'prim_orbit_index': 4, 'relative_dim': 14, 'sturm_bound': 33, 'trace_bound': 3, 'trace_display': [5, 1, 7, -10], 'traces': [56, 5, 1, 29, 7, -15, -10, -15, 1, 0, 0, 22, 20, 14, 9, -7, 0, -30, -25, -48, 0, 0, -40, -5, 19, -50, -38, 60, 40, 80, 61, 0, 0, -282, -80, -116, -95, 74, 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mf_twists_cc • Show schema
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id: 44252917
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 94, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.94.1', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 44252918
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 112, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.112.1', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 44252919
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 120, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68769808505, 'target_is_minimal': True, 'target_label': '121.3.b.a.120.2', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 44252920
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 118, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.118.1', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 44252921
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 40, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.40.2', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 44252922
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 40, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.40.1', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 3}
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id: 44252923
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 118, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.118.2', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 44252924
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 120, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68769808505, 'target_is_minimal': True, 'target_label': '121.3.b.a.120.1', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 44252925
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 112, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.112.2', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 3}
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id: 44252926
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 94, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604718243961, 'target_is_minimal': False, 'target_label': '121.3.d.e.94.2', 'target_level': 121, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 3}
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id: 44252927
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 604, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137489286209, 'target_is_minimal': False, 'target_label': '1089.3.c.a.604.2', 'target_level': 1089, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '33.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 44252928
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 94, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014604718243961, 'source_is_minimal': False, 'source_label': '121.3.d.e.94.1', 'source_level': 121, 'target_conrey_index': 604, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137489286209, 'target_is_minimal': False, 'target_label': '1089.3.c.a.604.1', 'target_level': 1089, 'twist_class_label': '121.3.b.a.120.1', 'twist_class_level': 121, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 342475
{'charpoly_factorization': [[[16, 0, -8, 0, 4, 0, -2, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 2}
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id: 342476
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 3}
-
id: 342477
{'charpoly_factorization': [[[2401, -343, 49, -7, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 5}
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id: 342478
{'charpoly_factorization': [[[6250000, 0, -125000, 0, 2500, 0, -50, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 7}
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id: 342479
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014604718243961, 'p': 11}
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id: 342480
{'charpoly_factorization': [[[6879707136, 0, -23887872, 0, 82944, 0, -288, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 13}
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id: 342481
{'charpoly_factorization': [[[104976, 0, -5832, 0, 324, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 17}
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id: 342482
{'charpoly_factorization': [[[6879707136, 0, -23887872, 0, 82944, 0, -288, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 19}
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id: 342483
{'charpoly_factorization': [[[9, 1], 8]], 'hecke_orbit_code': 18014604718243961, 'p': 23}
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id: 342484
{'charpoly_factorization': [[[68719476736, 0, -134217728, 0, 262144, 0, -512, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 29}
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id: 342485
{'charpoly_factorization': [[[5764801, 117649, 2401, 49, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 31}
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id: 342486
{'charpoly_factorization': [[[83521, 4913, 289, 17, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 37}
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id: 342487
{'charpoly_factorization': [[[6879707136, 0, -23887872, 0, 82944, 0, -288, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 41}
-
id: 342488
{'charpoly_factorization': [[[2178, 0, 1], 4]], 'hecke_orbit_code': 18014604718243961, 'p': 43}
-
id: 342489
{'charpoly_factorization': [[[1048576, 32768, 1024, 32, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 47}
-
id: 342490
{'charpoly_factorization': [[[65536, 4096, 256, 16, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 53}
-
id: 342491
{'charpoly_factorization': [[[25411681, -357911, 5041, -71, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 59}
-
id: 342492
{'charpoly_factorization': [[[268435456, 0, -2097152, 0, 16384, 0, -128, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 61}
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id: 342493
{'charpoly_factorization': [[[31, 1], 8]], 'hecke_orbit_code': 18014604718243961, 'p': 67}
-
id: 342494
{'charpoly_factorization': [[[28398241, -389017, 5329, -73, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 71}
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id: 342495
{'charpoly_factorization': [[[6044831973376, 0, -3855122432, 0, 2458624, 0, -1568, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 73}
-
id: 342496
{'charpoly_factorization': [[[368726043154810896, 0, -14963316417288, 0, 607228164, 0, -24642, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 79}
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id: 342497
{'charpoly_factorization': [[[2441406250000, 0, -1953125000, 0, 1562500, 0, -1250, 0, 1], 1]], 'hecke_orbit_code': 18014604718243961, 'p': 83}
-
id: 342498
{'charpoly_factorization': [[[9, 1], 8]], 'hecke_orbit_code': 18014604718243961, 'p': 89}
-
id: 342499
{'charpoly_factorization': [[[83521, -4913, 289, -17, 1], 2]], 'hecke_orbit_code': 18014604718243961, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 5, 'label': '121.3.d.e', 'level': 121, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 40766041
{'hecke_orbit_code': 18014604718243961, 'n': 1, 'trace_an': 8}
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id: 40766042
{'hecke_orbit_code': 18014604718243961, 'n': 2, 'trace_an': 0}
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id: 40766043
{'hecke_orbit_code': 18014604718243961, 'n': 3, 'trace_an': 2}
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id: 40766044
{'hecke_orbit_code': 18014604718243961, 'n': 4, 'trace_an': -4}
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id: 40766045
{'hecke_orbit_code': 18014604718243961, 'n': 5, 'trace_an': 14}
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id: 40766046
{'hecke_orbit_code': 18014604718243961, 'n': 6, 'trace_an': 0}
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id: 40766047
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