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mf_newforms • Show schema
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{'Nk2': 1860, 'analytic_conductor': 3.7130436939895377, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 465, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [465, 6, [311, 187, 406], [3, 3, 1]], 'cm_discs': [-15], 'conrey_index': 119, 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -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, [1, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1305703612881, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, -15], [1, 1, 31, 5, -1, 6, 0], [1, 1, 465, 20, 1, 6, 0]], 'is_cm': True, 'is_largest': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1860, 'analytic_conductor': 3.7130436939895377, 'char_conductor': 465, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [465, 6, [311, 187, 406], [3, 3, 1]], 'conrey_index': 119, 'cusp_dim': 120, 'dim': 120, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1305703612881, 'hecke_orbit_dims': [4, 4, 8, 104], 'label': '465.2.t', 'level': 465, '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, 5, 31], 'level_radical': 465, 'mf_dim': 136, 'mf_new_dim': 136, 'num_forms': 4, 'prim_orbit_index': 20, 'relative_dim': 60, 'sturm_bound': 128, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 100, 0, -18, 0, 0, 2, -10, 0, 0, 0, 0, 0, 60, 0, 0, -4, 0, -6, 0, 0, -60, 8, 0, 0, 0, 0, 0, -36, 0, 0, -54, 0, 22, 0, 0, 12, -36, 0, 0, 0, 0, -24, 0, 0, 0, 24, 0, -12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, -36, 0, 0, 40, -56, 0, 0, 0, 0, 54, -74, 0, 0, 12, 0, 6, 0, 0, -42, 0, 0, 0, 0, 0, 36, 0, 0, 0, -76, 0, -144, 0, 0, 126, -38, 0, 0, 0, 0, -24, -48, 0, 0, 24, 0, -4, 0, 0, -90, -84, 0, 0, 0, 0, 0, -64, 0, 0, -144, 0, -180, 0, 0, -80, -12, 0, 0, 0, 0, 138, -60, 0, 0, 0, 0, 24, 0, 0, -66, -48, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 212, 0, 0, 112, -110, 0, 0, 0, 0, 6, 90, 0, 0, -72, 0, 168, 0, 0, 68, -20, 0, 0, 0, 0, -90, -36, 0, 0, 0, 0, 28, 0, 0, 126, 324, 0, 0, 0, 0, 44, -94, 0, 0, 360, 0, 0, 0, 0, -82, -24, 0, 0, 0, 0, 114, -64, 0, 0, 132, 0, 0, 0, 0, 192, 120, 0, 0, 0, 0, 0, 114, 0, 0, 12, 0, 110, 0, 0, -132, -44, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, -100, 4, 0, 0, 0, 0, -38, -204, 0, 0, -96, 0, -48, 0, 0, -52, -72, 0, 0, 0, 0, 90, 0, 0, 0, 306, 0, 48, 0, 0, 154, -24, 0, 0, 0, 0, 0, 376, 0, 0, 52, 0, 138, 0, 0, 0, 232, 0, 0, 0, 0, 162, 48, 0, 0, -170, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 102, 366, 0, 0, -148, 0, -258, 0, 0, 38, 0, 0, 0, 0, 0, -6, 60, 0, 0, 594, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, -284, -60, 0, 0, -16, 0, 34, 0, 0, -438, 132, 0, 0, 0, 0, -76, 124, 0, 0, 0, 0, 92, 0, 0, -202, 0, 0, 0, 0, 0, -66, -296, 0, 0, -84, 0, -58, 0, 0, -498, -264, 0, 0, 0, 0, -120, 120, 0, 0, 150, 0, 576, 0, 0, 0, -350, 0, 0, 0, 0, -120, 84, 0, 0, -408, 0, -144, 0, 0, 36, 36, 0, 0, 0, 0, -270, -8, 0, 0, -36, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, -84, 264, 0, 0, 236, 0, -152, 0, 0, -6, -132, 0, 0, 0, 0, -292, -60, 0, 0, 154, 0, 18, 0, 0, 76, -96, 0, 0, 0, 0, -258, -340, 0, 0, -368, 0, -300, 0, 0, 184, 140, 0, 0, 0, 0, 0, -40, 0, 0, -50, 0, 60, 0, 0, -582, 278, 0, 0, 0, 0, 0, -324, 0, 0, -648, 0, 80, 0, 0, -152, 8, 0, 0, 0, 0, -210, 0, 0, 0, 166, 0, 64, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -64, 0, 0, 370, 48, 0, 0, 0, 0, 726, -156, 0, 0, 114, 0, 158, 0, 0, -42, 0, 0, 0, 0, 0, 98, 0, 0, 0, 344, 0, -588, 0, 0, 600, 24, 0, 0, 0, 0, 336, -132, 0, 0, -328, 0, 12, 0, 0, -234, -384, 0, 0, 0, 0, 0, -50, 0, 0, -260, 0, -148, 0, 0, -350, -108, 0, 0, 0, 0, 450, -324, 0, 0, 0, 0, 528, 0, 0, -68, -174, 0, 0, 0, 0, 294, 0, 0, 0, 0, 0, 288, 0, 0, 908, -168, 0, 0, 0, 0, -202, 456, 0, 0, 134, 0, 128, 0, 0, 164, -74, 0, 0, 0, 0, -256, -174, 0, 0, 0, 0, 50, 0, 0, 864, 424, 0, 0, 0, 0, 118, -76, 0, 0, 348, 0, 0, 0, 0, 34, -8, 0, 0, 0, 0, 48, -122, 0, 0, 296, 0, 0, 0, 0, 720, -72, 0, 0, 0, 0, 340, 232, 0, 0, 678, 0, 274, 0, 0, -126, 40, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, -576, 152, 0, 0, 0, 0, 40, -56, 0, 0, -132, 0, 126, 0, 0, 8, 504, 0, 0, 0, 0, 348, 0, 0, 0, 312, 0, 210, 0, 0, 394, 160, 0, 0, 0, 0, -222, 292, 0, 0, -12, 0, 42, 0, 0, 0, 512, 0, 0, 0, 0, 432, -426, 0, 0, -108, 0, 0, 0, 0, 0, 620, 0, 0, 0, 0, 388, 696, 0, 0, -726, 0, -408, 0, 0, -30, 0, 0, 0, 0, 0, 132, 534, 0, 0, 684, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, -812, 172, 0, 0, 264, 0, -86, 0, 0, -594, 60, 0, 0, 0, 0, 74, -296, 0, 0, 0, 0, -6, 0, 0, -616, 0, 0, 0, 0, 0, -450, 392, 0, 0, -696, 0, -470, 0, 0, -324, -690, 0, 0, 0, 0, -10, -272, 0, 0, 300, 0, 924, 0, 0, 0, -200, 0, 0, 0, 0, -332, 996, 0, 0, -264, 0, -96, 0, 0, 126, -312, 0, 0, 0, 0, 84, -342, 0, 0, 396, 0, 0, 0, 0, -354, 0, 0, 0, 0, 0, -272, 384, 0, 0, 552, 0, -864, 0, 0, 192, -432, 0, 0, 0, 0, -628, -156, 0, 0, -48, 0, 120, 0, 0, 684, -168, 0, 0, 0, 0, -338, -616, 0, 0, -648, 0, -1158, 0, 0, 200, 182, 0, 0, 0, 0, 0, 72, 0, 0, 56, 0, -492, 0, 0, -1068, 288, 0, 0, 0, 0, 0, 60, 0, 0, -1290, 0, -50, 0, 0, -268, -32, 0, 0, 0, 0, -180, 0, 0, 0, -20, 0, -152, 0, 0, 0, -348, 0, 0, 0, 0, 0, 0, 0, 0, -800, 0, -36, 0, 0, 210, -344], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 15622429
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 254, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305703612881, 'target_is_minimal': True, 'target_label': '465.2.t.a.254.1', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 15622430
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 254, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504905330983377, 'target_is_minimal': True, 'target_label': '465.2.t.b.254.2', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 15622431
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 254, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504905330983377, 'target_is_minimal': True, 'target_label': '465.2.t.b.254.2', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 15622432
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 254, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305703612881, 'target_is_minimal': True, 'target_label': '465.2.t.a.254.1', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 15622433
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 119, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305703612881, 'target_is_minimal': True, 'target_label': '465.2.t.a.119.1', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 15622434
{'conductor': 93, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 119, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504905330983377, 'target_is_minimal': True, 'target_label': '465.2.t.b.119.2', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '93.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 15622435
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 119, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504905330983377, 'target_is_minimal': True, 'target_label': '465.2.t.b.119.2', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '155.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 15622436
{'conductor': 465, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 254, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305703612881, 'source_is_minimal': True, 'source_label': '465.2.t.a.254.1', 'source_level': 465, 'target_conrey_index': 119, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305703612881, 'target_is_minimal': True, 'target_label': '465.2.t.a.119.1', 'target_level': 465, 'twist_class_label': '465.2.t.a.119.1', 'twist_class_level': 465, 'twisting_char_label': '465.119', 'twisting_conrey_index': 119, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 930075
{'charpoly_factorization': [[[1, 3, 1], 2]], 'hecke_orbit_code': 1305703612881, 'p': 2}
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id: 930076
{'charpoly_factorization': [[[3, -3, 1], 2]], 'hecke_orbit_code': 1305703612881, 'p': 3}
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id: 930077
{'charpoly_factorization': [[[25, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 1305703612881, 'p': 5}
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id: 930078
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 7}
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id: 930079
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 11}
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id: 930080
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 13}
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id: 930081
{'charpoly_factorization': [[[9, 36, 45, -12, 1], 1]], 'hecke_orbit_code': 1305703612881, 'p': 17}
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id: 930082
{'charpoly_factorization': [[[1681, -164, 57, 4, 1], 1]], 'hecke_orbit_code': 1305703612881, 'p': 19}
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id: 930083
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 1305703612881, 'p': 23}
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id: 930084
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 29}
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id: 930085
{'charpoly_factorization': [[[31, -8, 1], 2]], 'hecke_orbit_code': 1305703612881, 'p': 31}
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id: 930086
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 37}
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id: 930087
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 41}
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id: 930088
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 43}
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id: 930089
{'charpoly_factorization': [[[61, -18, 1], 2]], 'hecke_orbit_code': 1305703612881, 'p': 47}
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id: 930090
{'charpoly_factorization': [[[192, -24, 1], 2]], 'hecke_orbit_code': 1305703612881, 'p': 53}
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id: 930091
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 59}
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id: 930092
{'charpoly_factorization': [[[3249, 0, 126, 0, 1], 1]], 'hecke_orbit_code': 1305703612881, 'p': 61}
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id: 930093
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 67}
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id: 930094
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 71}
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id: 930095
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 73}
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id: 930096
{'charpoly_factorization': [[[31329, -8496, 945, -48, 1], 1]], 'hecke_orbit_code': 1305703612881, 'p': 79}
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id: 930097
{'charpoly_factorization': [[[56169, -1422, -225, 6, 1], 1]], 'hecke_orbit_code': 1305703612881, 'p': 83}
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id: 930098
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 89}
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id: 930099
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1305703612881, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 1, 'label': '465.2.t.a', 'level': 465, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 12737268
{'hecke_orbit_code': 1305703612881, 'n': 1, 'trace_an': 4}
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id: 12737269
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