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{'Nk2': 24320, 'analytic_conductor': 48.54904442893847, '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': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[3, [-2, 2, 4, 1]], [7, [20, -4, -4, 1]], [11, [-4, -8, -2, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501009856, 'hecke_ring_generator_nbound': 3, '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': '6080.2.a.bn', 'level': 6080, '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': '3040.2.a.i', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{1})q^{3}+q^{5}+(1+\\beta _{1}-\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6080.2.a', 'trace_display': [0, -4, 3, 4], 'trace_hash': 1235062892203148115, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.909', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.901', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '264.860', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [3, 0, -4, 0, 3, 0, 4, 0, 3, 0, 2, 0, 2, 0, -4, 0, 2, 0, -3, 0, -14, 0, 0, 0, 3, 0, -10, 0, -14, 0, -10, 0, 6, 0, 4, 0, 8, 0, -10, 0, 0, 0, -12, 0, 3, 0, 4, 0, 3, 0, -20, 0, -4, 0, 2, 0, 4, 0, -26, 0, -10, 0, 20, 0, 2, 0, -18, 0, 18, 0, -14, 0, -2, 0, -4, 0, -16, 0, -10, 0, 23, 0, -8, 0, 2, 0, 32, 0, 26, 0, -10, 0, 4, 0, -3, 0, -12, 0, -14, 0, 18, 0, -26, 0, -14, 0, -30, 0, 8, 0, 10, 0, -18, 0, 0, 0, 44, 0, 40, 0, -13, 0, 0, 0, 3, 0, -16, 0, 30, 0, 8, 0, -4, 0, -10, 0, -18, 0, -6, 0, -6, 0, 14, 0, -14, 0, -8, 0, 22, 0, 16, 0, 34, 0, -10, 0, 18, 0, 22, 0, -16, 0, -44, 0, 6, 0, 20, 0, 37, 0, -3, 0, -22, 0, 4, 0, 12, 0, -26, 0, 18, 0, 22, 0, 8, 0, -36, 0, -8, 0, -4, 0, -32, 0, -10, 0, -6, 0, -8, 0, 4, 0, -36, 0, 0, 0, -56, 0, -2, 0, 32, 0, 28, 0, -12, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [1, 1, -1], [0, 0, 0], [0, 3, 1], [0, 0, 0], [1, -1, 1], [0, 0, 0], [0, 2, 3], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [0, 2, -2], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-4, -2, 0], [0, 0, 0], [1, -3, -1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-2, -4, -4], [0, 0, 0], [-4, -2, 0], [0, 0, 0], [-4, 2, 2], [0, 0, 0], [2, 0, 0], [0, 0, 0], [1, 1, -1], [0, 0, 0], [4, -4, -3], [0, 0, 0], [-1, -7, -5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-3, -3, -3], [0, 0, 0], [0, 3, 1], [0, 0, 0], [1, 1, 3], [0, 0, 0], [1, 0, -2], [0, 0, 0], [-6, -2, 0], [0, 0, 0], [0, -4, -5], [0, 0, 0], [1, -1, 1], [0, 0, 0], [1, 1, 0], [0, 0, 0], [-10, 4, 2], [0, 0, 0], [-3, -1, 1], [0, 0, 0], [5, 5, 5], [0, 0, 0], [0, 2, 3], [0, 0, 0], [-7, 3, 0], [0, 0, 0], [4, 6, 4], [0, 0, 0], [-4, -2, -2], [0, 0, 0], [0, -2, 4], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [-6, 2, 0], [0, 0, 0], [-2, -4, -6], [0, 0, 0], [6, 5, 5], [0, 0, 0], [-3, 1, 5], [0, 0, 0], [0, 2, -2], [0, 0, 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6, 4], [-63, -3, -20], [12, -6, 0], [15, -23, -26], [-74, 6, 4], [4, 0, 27], [11, -29, -3], [22, 34, 14], [-10, 12, 25], [-22, 8, -17], [61, 1, -4], [21, 39, -23], [-22, -10, -20], [-7, 39, 21]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 175640385501009856, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '6080.2.a.bn', 'level': 6080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 21, 10], [[[2, -1], [5, -1], [19, -1]], 21, 9], [[[2, 1], [5, -1], [19, -1]], 15, 6], [[[2, 1], [5, -1], [19, 1]], 19, 7], [[[2, 1], [5, 1], [19, 1]], 17, 7], [[[2, -1], [5, -1], [19, 1]], 17, 8], [[[2, -1], [5, 1], [19, 1]], 19, 10], [[[2, -1], [5, 1], [19, -1]], 15, 7]], 'ALdims': [17, 21, 19, 15, 19, 15, 17, 21], 'Nk2': 24320, 'analytic_conductor': 48.54904442893847, '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': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33560512, '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, 1, 2, 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, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': 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mf_twists_nf • Show schema
Hide schema
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id: 1288386
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '6080.2.a.bn', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3040.2.a.i', 'target_level': 3040, 'twist_class_label': '3040.2.a.i', 'twist_class_level': 3040, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1288387
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '6080.2.a.bn', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '3040.2.a.o', 'target_level': 3040, 'twist_class_label': '3040.2.a.i', 'twist_class_level': 3040, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1288388
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '6080.2.a.bn', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '6080.2.a.bn', 'target_level': 6080, 'twist_class_label': '3040.2.a.i', 'twist_class_level': 3040, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1288389
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '6080.2.a.bn', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '6080.2.a.cb', 'target_level': 6080, 'twist_class_label': '3040.2.a.i', 'twist_class_level': 3040, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4085725
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 175640385501009856, 'p': 2}
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id: 4085726
{'charpoly_factorization': [[[-2, 2, 4, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 3}
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id: 4085727
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 175640385501009856, 'p': 5}
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id: 4085728
{'charpoly_factorization': [[[20, -4, -4, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 7}
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id: 4085729
{'charpoly_factorization': [[[-4, -8, -2, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 11}
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id: 4085730
{'charpoly_factorization': [[[74, -36, -2, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 13}
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id: 4085731
{'charpoly_factorization': [[[104, -36, -2, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 17}
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id: 4085732
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 175640385501009856, 'p': 19}
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id: 4085733
{'charpoly_factorization': [[[52, -28, 0, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 23}
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id: 4085734
{'charpoly_factorization': [[[40, 52, 14, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 29}
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id: 4085735
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 31}
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id: 4085736
{'charpoly_factorization': [[[290, -44, -8, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 37}
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id: 4085737
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 175640385501009856, 'p': 41}
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id: 4085738
{'charpoly_factorization': [[[-108, 0, 12, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 43}
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id: 4085739
{'charpoly_factorization': [[[116, -28, -4, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 47}
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id: 4085740
{'charpoly_factorization': [[[-274, -108, 4, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 53}
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id: 4085741
{'charpoly_factorization': [[[40, 172, 26, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 59}
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id: 4085742
{'charpoly_factorization': [[[-4, 24, 10, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 61}
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id: 4085743
{'charpoly_factorization': [[[34, 78, 18, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 67}
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id: 4085744
{'charpoly_factorization': [[[8, 44, 14, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 71}
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id: 4085745
{'charpoly_factorization': [[[-200, -92, 2, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 73}
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id: 4085746
{'charpoly_factorization': [[[-856, -116, 10, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 79}
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id: 4085747
{'charpoly_factorization': [[[100, -72, 8, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 83}
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id: 4085748
{'charpoly_factorization': [[[-536, 212, -26, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 89}
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id: 4085749
{'charpoly_factorization': [[[-190, -112, 12, 1], 1]], 'hecke_orbit_code': 175640385501009856, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '6080.2.a.bn', 'level': 6080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273017000
{'hecke_orbit_code': 175640385501009856, 'n': 1, 'trace_an': 3}
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