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{'Nk2': 13520, 'analytic_conductor': 26.98943588319277, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [13, 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': [3380, 1, [1691, 677, 1861], [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, [-1, 1]], [7, [1, 1]], [19, [7, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425151284, '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': '3380.2.a.h', 'level': 3380, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '260.2.i.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{11}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/3380/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3380.2.a', 'trace_display': [0, 1, 1, -1], 'trace_hash': 1884512417197464007, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.974', 'prec': 17}, {'__RealLiteral__': 0, 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'hecke_orbit_code': 31525197425151284, 'label': '3380.2.a.h.1.1', 'level': 3380, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [13, -1]], 16, 3], [[[2, -1], [5, -1], [13, 1]], 9, 7], [[[2, -1], [5, 1], [13, 1]], 16, 6], [[[2, -1], [5, 1], [13, -1]], 10, 3]], 'ALdims': [0, 0, 0, 0, 16, 10, 9, 16], 'Nk2': 13520, 'analytic_conductor': 26.98943588319277, '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': [3380, 1, [1691, 677, 1861], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 505, 'dim': 51, 'eis_dim': 83, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 19], 'hecke_orbit_code': 33557812, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 4, 4, 9, 9], 'label': '3380.2.a', 'level': 3380, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 588, 'mf_new_dim': 51, 'num_forms': 19, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 51, 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mf_twists_cc • Show schema
Hide schema
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id: 46066342
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425151284, 'target_is_minimal': False, 'target_label': '3380.2.a.h.1.1', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46066343
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 61, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739076, 'target_is_minimal': True, 'target_label': '260.2.i.b.61.1', 'target_level': 260, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46066344
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 3041, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140423476, 'target_is_minimal': False, 'target_label': '3380.2.f.e.3041.1', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46066345
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 3041, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140423476, 'target_is_minimal': False, 'target_label': '3380.2.f.e.3041.2', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46066346
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739076, 'target_is_minimal': True, 'target_label': '260.2.i.b.81.1', 'target_level': 260, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46066347
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797780788, 'target_is_minimal': False, 'target_label': '3380.2.a.g.1.1', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46066348
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 1621, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172555044, 'target_is_minimal': False, 'target_label': '2340.2.q.b.1621.1', 'target_level': 2340, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46066349
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 2161, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172555044, 'target_is_minimal': False, 'target_label': '2340.2.q.b.2161.1', 'target_level': 2340, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46066350
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 321, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533496191517712, 'target_is_minimal': False, 'target_label': '1040.2.q.j.321.1', 'target_level': 1040, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '52.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46066351
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533496191517712, 'target_is_minimal': False, 'target_label': '1040.2.q.j.81.1', 'target_level': 1040, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46066352
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.1049.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46066353
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 601, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298851604, 'target_is_minimal': False, 'target_label': '1300.2.i.e.601.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46066354
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 549, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.549.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46066355
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 1101, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298851604, 'target_is_minimal': False, 'target_label': '1300.2.i.e.1101.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46066356
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.1049.2', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 46066357
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425151284, 'source_is_minimal': False, 'source_label': '3380.2.a.h.1.1', 'source_level': 3380, 'target_conrey_index': 549, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.549.2', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3150800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 2}
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id: 3150801
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 3}
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id: 3150802
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 5}
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id: 3150803
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 7}
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id: 3150804
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 11}
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id: 3150805
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 13}
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id: 3150806
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 17}
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id: 3150807
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 19}
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id: 3150808
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 23}
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id: 3150809
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 29}
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id: 3150810
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 31}
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id: 3150811
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 37}
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id: 3150812
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 41}
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id: 3150813
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 43}
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id: 3150814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 47}
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id: 3150815
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 53}
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id: 3150816
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 59}
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id: 3150817
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 61}
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id: 3150818
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 67}
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id: 3150819
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 71}
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id: 3150820
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 73}
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id: 3150821
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 79}
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id: 3150822
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 83}
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id: 3150823
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 89}
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id: 3150824
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425151284, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '3380.2.a.h', 'level': 3380, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 186769000
{'hecke_orbit_code': 31525197425151284, 'n': 1, 'trace_an': 1}
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id: 186769001
{'hecke_orbit_code': 31525197425151284, 'n': 2, 'trace_an': 0}
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id: 186769002
{'hecke_orbit_code': 31525197425151284, 'n': 3, 'trace_an': 1}
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id: 186769003
{'hecke_orbit_code': 31525197425151284, 'n': 4, 'trace_an': 0}
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id: 186769004
{'hecke_orbit_code': 31525197425151284, 'n': 5, 'trace_an': 1}
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id: 186769005
{'hecke_orbit_code': 31525197425151284, 'n': 6, 'trace_an': 0}
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id: 186769006
{'hecke_orbit_code': 31525197425151284, 'n': 7, 'trace_an': -1}
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id: 186769007
{'hecke_orbit_code': 31525197425151284, 'n': 8, 'trace_an': 0}
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id: 186769008
{'hecke_orbit_code': 31525197425151284, 'n': 9, 'trace_an': -2}
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id: 186769009
{'hecke_orbit_code': 31525197425151284, 'n': 10, 'trace_an': 0}
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id: 186769010
{'hecke_orbit_code': 31525197425151284, 'n': 11, 'trace_an': 3}
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id: 186769011
{'hecke_orbit_code': 31525197425151284, 'n': 12, 'trace_an': 0}
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