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{'Nk2': 32448, 'analytic_conductor': 64.77464611966265, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [13, -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': [8112, 1, [5071, 6085, 2705, 3889], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 3, 4, 1]], [7, [-29, 31, -10, 1]], [11, [-43, -30, 1, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402087344, 'hecke_ring_generator_nbound': 5, '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': '8112.2.a.by', 'level': 8112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '507.2.a.j', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(-1-\\beta _{1})q^{5}+(3+\\beta _{1})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': '8112.2.a', 'trace_display': [0, -3, -4, 10], 'trace_hash': 1473022279131417144, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.437', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.507', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.126', 'prec': 17}, {'__RealLiteral__': 0, 'data': '215.942', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, 0, -3, 0, -4, 0, 10, 0, 3, 0, -1, 0, 0, 0, 4, 0, -7, 0, 11, 0, -10, 0, -2, 0, -5, 0, -3, 0, -8, 0, 8, 0, 1, 0, -18, 0, -14, 0, 0, 0, -1, 0, 3, 0, -4, 0, -9, 0, 17, 0, 7, 0, -13, 0, 13, 0, -11, 0, -14, 0, -13, 0, 10, 0, 0, 0, 5, 0, 2, 0, -6, 0, -18, 0, 5, 0, -15, 0, 9, 0, 3, 0, -16, 0, 7, 0, 8, 0, 5, 0, 0, 0, -8, 0, -3, 0, -5, 0, -1, 0, 0, 0, -2, 0, 18, 0, 9, 0, -9, 0, 14, 0, -12, 0, -16, 0, 0, 0, -21, 0, 28, 0, 1, 0, 15, 0, 13, 0, -3, 0, -18, 0, 25, 0, 4, 0, 7, 0, -3, 0, 9, 0, 0, 0, -1, 0, -17, 0, 17, 0, 10, 0, -7, 0, -13, 0, 5, 0, 13, 0, 12, 0, 11, 0, -13, 0, -19, 0, 0, 0, 11, 0, 16, 0, -5, 0, 14, 0, -32, 0, 7, 0, 13, 0, 21, 0, -14, 0, -10, 0, -13, 0, -9, 0, 0, 0, -54, 0, 35, 0, -5, 0, -15, 0, -1, 0, -2, 0, -6, 0, 8, 0, 6, 0, -4, 0, 29, 0, 18, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [3, 1, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [2, -4, 3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, 1, 0], [0, 0, 0], [-3, 1, -1], [0, 0, 0], [3, -1, -3], [0, 0, 0], [-3, -1, 0], [0, 0, 0], [-3, 5, -2], [0, 0, 0], [-2, 2, 1], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-3, 2, 1], [0, 0, 0], [5, -2, 5], [0, 0, 0], [-2, 4, -3], [0, 0, 0], [-5, -4, -1], [0, 0, 0], [-4, -1, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 0, 0], [-1, 2, -4], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [-7, 3, -9], [0, 0, 0], [4, 6, 1], [0, 0, 0], [3, -1, 1], [0, 0, 0], [-4, -2, -1], [0, 0, 0], [3, 2, -2], [0, 0, 0], [-3, 1, 3], [0, 0, 0], [-8, 6, -4], [0, 0, 0], [-7, 3, -5], [0, 0, 0], [3, 1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [4, -3, 4], [0, 0, 0], [3, -5, 2], [0, 0, 0], [-1, 2, 5], [0, 0, 0], [-7, 1, -2], [0, 0, 0], [2, -2, -1], [0, 0, 0], [1, -10, 8], [0, 0, 0], [0, 5, -4], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-6, 3, 1], [0, 0, 0], [2, 2, 1], [0, 0, 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[11, 12, -15], [-18, 33, -3], [-14, 7, 23], [14, -18, 56], [-26, 24, -19], [-25, 16, 19], [-14, 12, 19], [-25, 20, -25], [11, -52, 52], [3, -42, 26], [48, -51, 54], [-21, 26, 37], [-18, -11, 34], [51, -35, 14], [49, 4, 15], [-58, 11, -52], [49, 1, 16], [-16, -40, -7], [-39, 47, -2], [-92, 17, -18], [69, -17, 37]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 225179981402087344, '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, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8112.2.a.by', 'level': 8112, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 21, 9], [[[2, 1], [3, -1], [13, 1]], 23, 12], [[[2, 1], [3, -1], [13, -1]], 15, 6], [[[2, -1], [3, -1], [13, 1]], 18, 12], [[[2, -1], [3, 1], [13, -1]], 21, 10], [[[2, 1], [3, 1], [13, -1]], 21, 8], [[[2, -1], [3, 1], [13, 1]], 18, 9], [[[2, 1], [3, 1], [13, 1]], 18, 9]], 'ALdims': [18, 21, 23, 15, 18, 21, 18, 21], 'Nk2': 32448, 'analytic_conductor': 64.77464611966265, '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': [8112, 1, [5071, 6085, 2705, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1373, 'dim': 155, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33562544, '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, 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, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6], 'label': '8112.2.a', 'level': 8112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 1540, 'mf_new_dim': 155, 'num_forms': 75, 'plus_dim': 72, 'prim_orbit_index': 1, 'relative_dim': 155, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [0, -1, 2, -4], 'traces': [155, 0, -1, 0, 2, 0, -4, 0, 155, 0, -4, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 8, 0, 149, 0, -1, 0, 10, 0, -12, 0, -4, 0, 0, 0, 10, 0, 0, 0, 6, 0, -4, 0, 2, 0, -24, 0, 155, 0, -10, 0, 18, 0, 16, 0, -4, 0, 4, 0, 18, 0, -4, 0, 0, 0, -24, 0, 8, 0, 24, 0, -18, 0, 1, 0, 16, 0, -24, 0, 155, 0, 44, 0, 4, 0, -6, 0, 6, 0, 0, 0, -8, 0, -16, 0, 6, 0, -4, 0, 18, 0, 40, 0, 0, 0, -20, 0, 18, 0, -22, 0, 14, 0, 0, 0, 0, 0, 72, 0, 191, 0, 18, 0, 36, 0, -24, 0, 4, 0, 44, 0, 16, 0, -2, 0, 6, 0, 4, 0, 0, 0, 0, 0, -20, 0, -25, 0, 34, 0, -12, 0, -2, 0, -72, 0, -30, 0, 18, 0, 0, 0, 40, 0, -24, 0, 16, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1378584
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '507.2.a.j', 'target_level': 507, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378585
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '507.2.a.k', 'target_level': 507, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378586
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.b.g', 'target_level': 507, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1378587
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '507.2.e.j', 'target_level': 507, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1378588
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '507.2.e.k', 'target_level': 507, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1378589
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '507.2.j.h', 'target_level': 507, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1378590
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1521.2.a.p', 'target_level': 1521, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1378591
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1521.2.a.q', 'target_level': 1521, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1378592
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1521.2.b.m', 'target_level': 1521, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1378593
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '8112.2.a.by', 'target_level': 8112, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1378594
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '8112.2.a.by', 'source_level': 8112, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '8112.2.a.cf', 'target_level': 8112, 'twist_class_label': '507.2.a.j', 'twist_class_level': 507, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4661625
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 225179981402087344, 'p': 2}
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id: 4661626
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 225179981402087344, 'p': 3}
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id: 4661627
{'charpoly_factorization': [[[-1, 3, 4, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 5}
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id: 4661628
{'charpoly_factorization': [[[-29, 31, -10, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 7}
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id: 4661629
{'charpoly_factorization': [[[-43, -30, 1, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 11}
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id: 4661630
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 225179981402087344, 'p': 13}
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id: 4661631
{'charpoly_factorization': [[[7, 14, 7, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 17}
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id: 4661632
{'charpoly_factorization': [[[113, 10, -11, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 19}
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id: 4661633
{'charpoly_factorization': [[[83, -43, 2, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 23}
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id: 4661634
{'charpoly_factorization': [[[-43, 5, 8, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 29}
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id: 4661635
{'charpoly_factorization': [[[197, -23, -8, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 31}
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id: 4661636
{'charpoly_factorization': [[[91, 63, 14, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 37}
-
id: 4661637
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 41}
-
id: 4661638
{'charpoly_factorization': [[[-29, -25, -3, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 43}
-
id: 4661639
{'charpoly_factorization': [[[-911, -120, 9, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 47}
-
id: 4661640
{'charpoly_factorization': [[[29, 40, 13, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 53}
-
id: 4661641
{'charpoly_factorization': [[[-56, 0, 14, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 59}
-
id: 4661642
{'charpoly_factorization': [[[-223, 12, 13, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 61}
-
id: 4661643
{'charpoly_factorization': [[[97, -22, -5, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 67}
-
id: 4661644
{'charpoly_factorization': [[[-461, -79, 6, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 71}
-
id: 4661645
{'charpoly_factorization': [[[167, 101, 18, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 73}
-
id: 4661646
{'charpoly_factorization': [[[169, -22, -9, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 79}
-
id: 4661647
{'charpoly_factorization': [[[-43, 55, 16, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 83}
-
id: 4661648
{'charpoly_factorization': [[[-1, -8, -5, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 89}
-
id: 4661649
{'charpoly_factorization': [[[-1189, -169, 5, 1], 1]], 'hecke_orbit_code': 225179981402087344, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '8112.2.a.by', 'level': 8112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 277559000
{'hecke_orbit_code': 225179981402087344, 'n': 1, 'trace_an': 3}
-
id: 277559001
{'hecke_orbit_code': 225179981402087344, 'n': 2, 'trace_an': 0}
-
id: 277559002
{'hecke_orbit_code': 225179981402087344, 'n': 3, 'trace_an': -3}
-
id: 277559003
{'hecke_orbit_code': 225179981402087344, 'n': 4, 'trace_an': 0}
-
id: 277559004
{'hecke_orbit_code': 225179981402087344, 'n': 5, 'trace_an': -4}
-
id: 277559005
{'hecke_orbit_code': 225179981402087344, 'n': 6, 'trace_an': 0}
-
id: 277559006
{'hecke_orbit_code': 225179981402087344, 'n': 7, 'trace_an': 10}
-
id: 277559007
{'hecke_orbit_code': 225179981402087344, 'n': 8, 'trace_an': 0}
-
id: 277559008
{'hecke_orbit_code': 225179981402087344, 'n': 9, 'trace_an': 3}
-
id: 277559009
{'hecke_orbit_code': 225179981402087344, 'n': 10, 'trace_an': 0}
-
id: 277559010
{'hecke_orbit_code': 225179981402087344, 'n': 11, 'trace_an': -1}
-
id: 277559011
{'hecke_orbit_code': 225179981402087344, 'n': 12, 'trace_an': 0}
-
id: 277559012
{'hecke_orbit_code': 225179981402087344, 'n': 13, 'trace_an': 0}
-
id: 277559013
{'hecke_orbit_code': 225179981402087344, 'n': 14, 'trace_an': 0}
-
id: 277559014
{'hecke_orbit_code': 225179981402087344, 'n': 15, 'trace_an': 4}
-
id: 277559015
{'hecke_orbit_code': 225179981402087344, 'n': 16, 'trace_an': 0}
-
id: 277559016
{'hecke_orbit_code': 225179981402087344, 'n': 17, 'trace_an': -7}
-
id: 277559017
{'hecke_orbit_code': 225179981402087344, 'n': 18, 'trace_an': 0}
-
id: 277559018
{'hecke_orbit_code': 225179981402087344, 'n': 19, 'trace_an': 11}
-
id: 277559019
{'hecke_orbit_code': 225179981402087344, 'n': 20, 'trace_an': 0}
-
id: 277559020
{'hecke_orbit_code': 225179981402087344, 'n': 21, 'trace_an': -10}
-
id: 277559021
{'hecke_orbit_code': 225179981402087344, 'n': 22, 'trace_an': 0}
-
id: 277559022
{'hecke_orbit_code': 225179981402087344, 'n': 23, 'trace_an': -2}
-
id: 277559023
{'hecke_orbit_code': 225179981402087344, 'n': 24, 'trace_an': 0}
-
id: 277559024
{'hecke_orbit_code': 225179981402087344, 'n': 25, 'trace_an': -5}
-
id: 277559025
{'hecke_orbit_code': 225179981402087344, 'n': 26, 'trace_an': 0}
-
id: 277559026
{'hecke_orbit_code': 225179981402087344, 'n': 27, 'trace_an': -3}
-
id: 277559027
{'hecke_orbit_code': 225179981402087344, 'n': 28, 'trace_an': 0}
-
id: 277559028
{'hecke_orbit_code': 225179981402087344, 'n': 29, 'trace_an': -8}
-
id: 277559029
{'hecke_orbit_code': 225179981402087344, 'n': 30, 'trace_an': 0}
-
id: 277559030
{'hecke_orbit_code': 225179981402087344, 'n': 31, 'trace_an': 8}
-
id: 277559031
{'hecke_orbit_code': 225179981402087344, 'n': 32, 'trace_an': 0}
-
id: 277559032
{'hecke_orbit_code': 225179981402087344, 'n': 33, 'trace_an': 1}
-
id: 277559033
{'hecke_orbit_code': 225179981402087344, 'n': 34, 'trace_an': 0}
-
id: 277559034
{'hecke_orbit_code': 225179981402087344, 'n': 35, 'trace_an': -18}
-
id: 277559035
{'hecke_orbit_code': 225179981402087344, 'n': 36, 'trace_an': 0}
-
id: 277559036
{'hecke_orbit_code': 225179981402087344, 'n': 37, 'trace_an': -14}
-
id: 277559037
{'hecke_orbit_code': 225179981402087344, 'n': 38, 'trace_an': 0}
-
id: 277559038
{'hecke_orbit_code': 225179981402087344, 'n': 39, 'trace_an': 0}
-
id: 277559039
{'hecke_orbit_code': 225179981402087344, 'n': 40, 'trace_an': 0}
-
id: 277559040
{'hecke_orbit_code': 225179981402087344, 'n': 41, 'trace_an': -1}
-
id: 277559041
{'hecke_orbit_code': 225179981402087344, 'n': 42, 'trace_an': 0}
-
id: 277559042
{'hecke_orbit_code': 225179981402087344, 'n': 43, 'trace_an': 3}
-
id: 277559043
{'hecke_orbit_code': 225179981402087344, 'n': 44, 'trace_an': 0}
-
id: 277559044
{'hecke_orbit_code': 225179981402087344, 'n': 45, 'trace_an': -4}
-
id: 277559045
{'hecke_orbit_code': 225179981402087344, 'n': 46, 'trace_an': 0}
-
id: 277559046
{'hecke_orbit_code': 225179981402087344, 'n': 47, 'trace_an': -9}
-
id: 277559047
{'hecke_orbit_code': 225179981402087344, 'n': 48, 'trace_an': 0}
-
id: 277559048
{'hecke_orbit_code': 225179981402087344, 'n': 49, 'trace_an': 17}
-
id: 277559049
{'hecke_orbit_code': 225179981402087344, 'n': 50, 'trace_an': 0}
-
id: 277559050
{'hecke_orbit_code': 225179981402087344, 'n': 51, 'trace_an': 7}
-
id: 277559051
{'hecke_orbit_code': 225179981402087344, 'n': 52, 'trace_an': 0}
-
id: 277559052
{'hecke_orbit_code': 225179981402087344, 'n': 53, 'trace_an': -13}
-
id: 277559053
{'hecke_orbit_code': 225179981402087344, 'n': 54, 'trace_an': 0}
-
id: 277559054
{'hecke_orbit_code': 225179981402087344, 'n': 55, 'trace_an': 13}
-
id: 277559055
{'hecke_orbit_code': 225179981402087344, 'n': 56, 'trace_an': 0}
-
id: 277559056
{'hecke_orbit_code': 225179981402087344, 'n': 57, 'trace_an': -11}
-
id: 277559057
{'hecke_orbit_code': 225179981402087344, 'n': 58, 'trace_an': 0}
-
id: 277559058
{'hecke_orbit_code': 225179981402087344, 'n': 59, 'trace_an': -14}
-
id: 277559059
{'hecke_orbit_code': 225179981402087344, 'n': 60, 'trace_an': 0}
-
id: 277559060
{'hecke_orbit_code': 225179981402087344, 'n': 61, 'trace_an': -13}
-
id: 277559061
{'hecke_orbit_code': 225179981402087344, 'n': 62, 'trace_an': 0}
-
id: 277559062
{'hecke_orbit_code': 225179981402087344, 'n': 63, 'trace_an': 10}
-
id: 277559063
{'hecke_orbit_code': 225179981402087344, 'n': 64, 'trace_an': 0}
-
id: 277559064
{'hecke_orbit_code': 225179981402087344, 'n': 65, 'trace_an': 0}
-
id: 277559065
{'hecke_orbit_code': 225179981402087344, 'n': 66, 'trace_an': 0}
-
id: 277559066
{'hecke_orbit_code': 225179981402087344, 'n': 67, 'trace_an': 5}
-
id: 277559067
{'hecke_orbit_code': 225179981402087344, 'n': 68, 'trace_an': 0}
-
id: 277559068
{'hecke_orbit_code': 225179981402087344, 'n': 69, 'trace_an': 2}
-
id: 277559069
{'hecke_orbit_code': 225179981402087344, 'n': 70, 'trace_an': 0}
-
id: 277559070
{'hecke_orbit_code': 225179981402087344, 'n': 71, 'trace_an': -6}
-
id: 277559071
{'hecke_orbit_code': 225179981402087344, 'n': 72, 'trace_an': 0}
-
id: 277559072
{'hecke_orbit_code': 225179981402087344, 'n': 73, 'trace_an': -18}
-
id: 277559073
{'hecke_orbit_code': 225179981402087344, 'n': 74, 'trace_an': 0}
-
id: 277559074
{'hecke_orbit_code': 225179981402087344, 'n': 75, 'trace_an': 5}
-
id: 277559075
{'hecke_orbit_code': 225179981402087344, 'n': 76, 'trace_an': 0}
-
id: 277559076
{'hecke_orbit_code': 225179981402087344, 'n': 77, 'trace_an': -15}
-
id: 277559077
{'hecke_orbit_code': 225179981402087344, 'n': 78, 'trace_an': 0}
-
id: 277559078
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