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{'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [23, -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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 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': [[7, [2, 1]], [11, [0, 1]], [13, [2, 1]], [17, [-2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288303704, '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': True, 'label': '8280.2.a.c', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '8280.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-2q^{7}-2q^{13}+2q^{17}-4q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/8280/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8280.2.a', 'trace_display': [0, 0, -1, -2], 'trace_hash': 796500600079124057, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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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], [3, -1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 7, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 10, 5], [[[2, -1], [3, 1], [5, 1], [23, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 9, 5], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [23, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [23, 1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 10, 3]], 'ALdims': [7, 4, 4, 7, 9, 8, 8, 9, 7, 4, 4, 7, 6, 10, 10, 6], 'Nk2': 33120, 'analytic_conductor': 66.11613287362016, '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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 110, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33562712, 'hecke_orbit_dims': [1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7], 'label': '8280.2.a', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1760, 'mf_new_dim': 110, 'num_forms': 49, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 3456, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [110, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, -12, 0, 0, 0, -20, 0, -20, 0, 0, 0, 0, 0, 110, 0, 0, 0, -8, 0, 16, 0, 0, 0, -12, 0, -8, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 94, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 16, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 40329617
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288303704, 'source_is_minimal': True, 'source_label': '8280.2.a.c.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288303704, 'target_is_minimal': True, 'target_label': '8280.2.a.c.1.1', 'target_level': 8280, 'twist_class_label': '8280.2.a.c.1.1', 'twist_class_level': 8280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40329618
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288303704, 'source_is_minimal': True, 'source_label': '8280.2.a.c.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562008664, 'target_is_minimal': True, 'target_label': '8280.2.a.m.1.1', 'target_level': 8280, 'twist_class_label': '8280.2.a.c.1.1', 'twist_class_level': 8280, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4708800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 2}
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id: 4708801
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 3}
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id: 4708802
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 5}
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id: 4708803
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 7}
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id: 4708804
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 11}
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id: 4708805
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 13}
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id: 4708806
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 17}
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id: 4708807
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 19}
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id: 4708808
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 23}
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id: 4708809
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 29}
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id: 4708810
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 31}
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id: 4708811
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 37}
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id: 4708812
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 41}
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id: 4708813
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 43}
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id: 4708814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 47}
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id: 4708815
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 53}
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id: 4708816
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 59}
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id: 4708817
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 61}
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id: 4708818
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 67}
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id: 4708819
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 71}
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id: 4708820
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 73}
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id: 4708821
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 79}
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id: 4708822
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 83}
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id: 4708823
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 89}
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id: 4708824
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 9007199288303704, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '8280.2.a.c', 'level': 8280, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 108187000
{'hecke_orbit_code': 9007199288303704, 'n': 1, 'trace_an': 1}
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id: 108187001
{'hecke_orbit_code': 9007199288303704, 'n': 2, 'trace_an': 0}
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id: 108187002
{'hecke_orbit_code': 9007199288303704, 'n': 3, 'trace_an': 0}
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id: 108187003
{'hecke_orbit_code': 9007199288303704, 'n': 4, 'trace_an': 0}
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id: 108187004
{'hecke_orbit_code': 9007199288303704, 'n': 5, 'trace_an': -1}
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id: 108187005
{'hecke_orbit_code': 9007199288303704, 'n': 6, 'trace_an': 0}
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id: 108187006
{'hecke_orbit_code': 9007199288303704, 'n': 7, 'trace_an': -2}
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id: 108187007
{'hecke_orbit_code': 9007199288303704, 'n': 8, 'trace_an': 0}
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id: 108187008
{'hecke_orbit_code': 9007199288303704, 'n': 9, 'trace_an': 0}
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id: 108187009
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