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mf_newforms • Show schema
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{'Nk2': 30400, 'analytic_conductor': 60.686305536173094, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [19, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[3, [-2, 1]], [7, [-2, 1]], [11, [0, 1]], [13, [6, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698860464, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7600.2.a.r', 'level': 7600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '380.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}+2q^{7}+q^{9}-6q^{13}-2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/7600/r'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7600.2.a', 'trace_display': [0, 2, 0, 2], 'trace_hash': 640681295956088699, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.995', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 22, 10], [[[2, -1], [5, -1], [19, -1]], 23, 7], [[[2, 1], [5, -1], [19, -1]], 19, 8], [[[2, 1], [5, -1], [19, 1]], 25, 6], [[[2, 1], [5, 1], [19, 1]], 19, 7], [[[2, -1], [5, -1], [19, 1]], 23, 8], [[[2, -1], [5, 1], [19, 1]], 20, 10], [[[2, -1], [5, 1], [19, -1]], 20, 10]], 'ALdims': [19, 22, 25, 19, 20, 20, 23, 23], 'Nk2': 30400, 'analytic_conductor': 60.686305536173094, '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': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1165, 'dim': 171, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 33562032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], 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mf_twists_cc • Show schema
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id: 48116869
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698860464, 'target_is_minimal': False, 'target_label': '7600.2.a.r.1.1', 'target_level': 7600, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48116870
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556332, 'target_is_minimal': False, 'target_label': '1900.2.a.a.1.1', 'target_level': 1900, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48116871
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926448, 'target_is_minimal': False, 'target_label': '1520.2.a.b.1.1', 'target_level': 1520, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48116872
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1749, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472509804, 'target_is_minimal': False, 'target_label': '1900.2.c.a.1749.1', 'target_level': 1900, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48116873
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1749, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472509804, 'target_is_minimal': False, 'target_label': '1900.2.c.a.1749.2', 'target_level': 1900, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48116874
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925308, 'target_is_minimal': True, 'target_label': '380.2.a.b.1.1', 'target_level': 380, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48116875
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170412992, 'target_is_minimal': False, 'target_label': '6080.2.a.f.1.1', 'target_level': 6080, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48116876
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208340928, 'target_is_minimal': False, 'target_label': '6080.2.a.v.1.1', 'target_level': 6080, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48116877
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170410332, 'target_is_minimal': False, 'target_label': '3420.2.a.f.1.1', 'target_level': 3420, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48116878
{'conductor': 380, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 76561193698860464, 'source_is_minimal': False, 'source_label': '7600.2.a.r.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660932148, 'target_is_minimal': False, 'target_label': '7220.2.a.b.1.1', 'target_level': 7220, 'twist_class_label': '380.2.a.b.1.1', 'twist_class_level': 380, 'twisting_char_label': '380.379', 'twisting_conrey_index': 379, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4520600
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 2}
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id: 4520601
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 3}
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id: 4520602
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 5}
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id: 4520603
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 7}
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id: 4520604
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 11}
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id: 4520605
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 13}
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id: 4520606
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 17}
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id: 4520607
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 19}
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id: 4520608
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 23}
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id: 4520609
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 29}
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id: 4520610
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 31}
-
id: 4520611
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 37}
-
id: 4520612
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 41}
-
id: 4520613
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 43}
-
id: 4520614
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 47}
-
id: 4520615
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 53}
-
id: 4520616
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 59}
-
id: 4520617
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 61}
-
id: 4520618
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 67}
-
id: 4520619
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 71}
-
id: 4520620
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 73}
-
id: 4520621
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 79}
-
id: 4520622
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 83}
-
id: 4520623
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 89}
-
id: 4520624
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 76561193698860464, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '7600.2.a.r', 'level': 7600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 242298000
{'hecke_orbit_code': 76561193698860464, 'n': 1, 'trace_an': 1}
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