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mf_newforms • Show schema
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{'Nk2': 660, 'analytic_conductor': 1.3175316333511264, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [165, 1, [56, 67, 46], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -5, 1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295589, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [2, 0, 0, 0, 2, 0, 0, 3], 'Nk2': 660, 'analytic_conductor': 1.3175316333511264, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [165, 1, [56, 67, 46], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 21, 'dim': 7, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554597, 'hecke_orbit_dims': [2, 2, 3], 'label': '165.2.a', 'level': 165, '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, 11], 'level_radical': 165, 'mf_dim': 28, 'mf_new_dim': 7, 'num_forms': 3, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 7, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [-3, 3, -1, 0], 'traces': [7, -3, 3, 9, -1, 1, 0, -15, 7, 1, -1, 5, 2, -16, 3, 9, -10, -3, 4, 1, 8, 1, -8, -3, 7, 14, 3, 8, -14, -3, 0, 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-42, -128, 16, -15, 8, 2, -12, 5, 64, 232, 2, -178, 46, -76, 6, 41, -14, -68, 8, 114, 18, 28, -32, 88, 48, -3, -128, -24, -12, -144, 56, -36, -6, -124, -14, -3], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40098037
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007199288295589, 'target_is_minimal': True, 'target_label': '165.2.a.c.1.3', 'target_level': 165, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40098038
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036911, 'target_is_minimal': False, 'target_label': '495.2.a.e.1.1', 'target_level': 495, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40098039
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 135107988854671952, 'target_is_minimal': False, 'target_label': '2640.2.a.be.1.3', 'target_level': 2640, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40098040
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236731705, 'target_is_minimal': False, 'target_label': '825.2.c.g.199.5', 'target_level': 825, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40098041
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735236731705, 'target_is_minimal': False, 'target_label': '825.2.c.g.199.2', 'target_level': 825, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40098042
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260217, 'target_is_minimal': False, 'target_label': '825.2.a.k.1.1', 'target_level': 825, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40098043
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618900373, 'target_is_minimal': False, 'target_label': '8085.2.a.bk.1.3', 'target_level': 8085, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40098044
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562002199, 'target_is_minimal': False, 'target_label': '1815.2.a.m.1.1', 'target_level': 1815, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40098045
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 274719577303162608, 'target_is_minimal': False, 'target_label': '7920.2.a.cj.1.3', 'target_level': 7920, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40098046
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561331137808811, 'target_is_minimal': False, 'target_label': '2475.2.c.r.199.2', 'target_level': 2475, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40098047
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 76561331137808811, 'target_is_minimal': False, 'target_label': '2475.2.c.r.199.5', 'target_level': 2475, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40098048
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597189972560299, 'target_is_minimal': False, 'target_label': '2475.2.a.bb.1.3', 'target_level': 2475, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40098049
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990717822277, 'target_is_minimal': False, 'target_label': '5445.2.a.z.1.3', 'target_level': 5445, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 40098050
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007199288295589, 'source_is_minimal': True, 'source_label': '165.2.a.c.1.3', 'source_level': 165, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 256705178793681779, 'target_is_minimal': False, 'target_label': '9075.2.a.cf.1.3', 'target_level': 9075, 'twist_class_label': '165.2.a.c.1.3', 'twist_class_level': 165, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 429600
{'charpoly_factorization': [[[-1, -5, 1, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 2}
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id: 429601
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 9007199288295589, 'p': 3}
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id: 429602
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 9007199288295589, 'p': 5}
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id: 429603
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 7}
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id: 429604
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 9007199288295589, 'p': 11}
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id: 429605
{'charpoly_factorization': [[[-8, -12, 2, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 13}
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id: 429606
{'charpoly_factorization': [[[-184, -52, 2, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 17}
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id: 429607
{'charpoly_factorization': [[[160, -16, -8, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 19}
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id: 429608
{'charpoly_factorization': [[[-128, -64, 0, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 23}
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id: 429609
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 29}
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id: 429610
{'charpoly_factorization': [[[128, -32, -8, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 31}
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id: 429611
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 9007199288295589, 'p': 37}
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id: 429612
{'charpoly_factorization': [[[8, 44, 14, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 41}
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id: 429613
{'charpoly_factorization': [[[400, -80, -4, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 43}
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id: 429614
{'charpoly_factorization': [[[-128, -32, 8, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 47}
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id: 429615
{'charpoly_factorization': [[[8, -52, 6, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 53}
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id: 429616
{'charpoly_factorization': [[[320, -16, -12, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 59}
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id: 429617
{'charpoly_factorization': [[[-248, -52, 6, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 61}
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id: 429618
{'charpoly_factorization': [[[-64, -48, 4, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 67}
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id: 429619
{'charpoly_factorization': [[[128, -32, -8, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 71}
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id: 429620
{'charpoly_factorization': [[[-344, 4, 14, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 73}
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id: 429621
{'charpoly_factorization': [[[800, -64, -12, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 79}
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id: 429622
{'charpoly_factorization': [[[16, -120, 0, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 83}
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id: 429623
{'charpoly_factorization': [[[-200, -52, 10, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 89}
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id: 429624
{'charpoly_factorization': [[[-8, 108, -22, 1], 1]], 'hecke_orbit_code': 9007199288295589, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '165.2.a.c', 'level': 165, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 26021341
{'hecke_orbit_code': 9007199288295589, 'n': 1, 'trace_an': 3}
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id: 26021342
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