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mf_newforms • Show schema
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{'Nk2': 2712, 'analytic_conductor': 5.41385725704281, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [113, -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': [678, 1, [227, 229], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 61, 'field_disc_factorization': [[61, 1]], 'field_poly': [-15, -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': [[5, [-2, 1]], [7, [-15, -1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519078, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '678.2.a.i', 'level': 678, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 113], 'level_radical': 678, 'minimal_twist': '678.2.a.i', 'nf_label': '2.2.61.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+(1-\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '678.2.a', 'trace_display': [2, 2, 4, 1], 'trace_hash': 1912271891600689717, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.496', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.711', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, 2, 2, 2, 4, 2, 1, 2, 2, 4, -3, 2, -4, 1, 4, 2, 7, 2, 1, 4, 1, -3, 1, 2, -2, -4, 2, 1, -20, 4, 11, 2, -3, 7, 2, 2, -9, 1, -4, 4, -12, 1, -13, -3, 4, 1, 13, 2, 17, -2, 7, -4, -1, 2, -6, 1, 1, -20, 12, 4, 2, 11, 1, 2, -8, -3, 3, 7, 1, 2, -1, 2, 8, -9, -2, 1, -32, -4, 4, 4, 2, -12, -17, 1, 14, -13, -20, -3, -23, 4, -2, 1, 11, 13, 2, 2, -1, 17, -3, -2, 12, 7, 10, -4, 2, -1, 0, 2, -4, -6, -9, 1, 2, 1, 2, -20, -4, 12, -27, 4, 13, 2, -12, 11, -24, 1, 17, 2, -13, -8, -21, -3, -30, 3, 4, 7, 8, 1, 10, 2, 13, -1, 6, 2, -40, 8, 17, -9, 13, -2, -4, 1, 7, -32, 22, -4, 6, 4, -1, 4, -30, 2, 20, -12, -6, -17, -24, 1, -18, 14, 1, -13, -19, -20, -1, -3, 12, -23, 6, 4, 25, -2, 2, 1, -18, 11, 20, 13, 1, 2, 25, 2, 2, -1, -8, 17, -4, -3, 20, -2, 3, 12, -10, 7, -24, 10, 1, -4, 29, 2, 2, -1, 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-1, 50, -16, 30, 1, -118, 4, 29, 18, 0, -23, 4, -30, 56, 13, 34, -2, -30, 2, 66, -12, 4, 2, 64, 20, 65, 34, -4, 34, 23, -12, -8, -70, 37, -2, 24, -6, 19, 11, 6, 91, 40, -17, -9, 21, -9, -24], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0], [1, 0], [1, -1], [1, 0], [1, 0], [2, 0], [-2, 1], [1, 0], [-2, 0], [1, -1], [2, 0], [1, 0], [3, 1], [1, 0], [0, 1], [2, 0], [1, -1], [-2, 1], [0, 1], [1, 0], [-1, 0], [-2, 0], [1, 0], [1, -1], [-10, 0], [2, 0], [6, -1], [1, 0], [-2, 1], [3, 1], [2, -2], [1, 0], [-4, -1], [0, 1], [-2, 0], [2, 0], [-6, 0], [1, -1], [-7, 1], [-2, 1], [2, 0], [0, 1], [7, -1], [1, 0], [9, -1], [-1, 0], [3, 1], [-2, 0], [1, -3], [1, 0], [-4, 2], [1, -1], [0, 1], [-10, 0], [6, 0], [2, 0], [2, -2], [6, -1], [1, -1], [1, 0], [-4, 0], [-2, 1], [1, 1], [3, 1], [0, 1], [2, -2], [1, -3], [1, 0], [4, 0], [-4, -1], [-1, 0], [0, 1], [-17, 2], [-2, 0], [2, 0], [2, 0], [1, 0], [-6, 0], [-9, 1], [1, -1], [6, 2], [-7, 1], [-10, 0], [-2, 1], [-12, 1], [2, 0], [-2, 2], [0, 1], [6, -1], [7, -1], [0, 2], [1, 0], [1, -3], [9, -1], [-2, 1], [-1, 0]], 'ap': [[1, 0], [1, 0], [2, 0], [1, -1], [-2, 1], [-2, 0], [3, 1], [0, 1], [0, 1], [-10, 0], [6, -1], [-4, -1], [-6, 0], [-7, 1], [7, -1], [1, -3], [6, 0], [2, -2], [1, 1], [1, -3], [4, 0], [2, 0], [-9, 1], [-12, 1], [1, -3], [6, 0], [4, 2], [-2, 4], [-4, 4], [1, 0], [10, -3], [-9, -3], [2, 4], [6, -2], [6, 1], [0, -4], [2, 2], [10, 0], [-12, 0], [-10, 1], [4, -2], [13, -1], [12, 1], [-2, 6], [-2, 0], [10, 0], [2, -2], [10, 4], [3, -3], [10, 0], [-8, 2], [-6, -4], [-10, -3], [-6, -3], [6, 2], [8, -4], [12, 2], [-12, 2], [-16, 4], [0, 3], [-10, 0], [8, -2], [18, 0], [0, 6], [2, -3], [-2, -3], [2, 2], [5, -3], [12, -4], [8, -3], [2, -4], [15, -1], [22, 3], [6, 0], [-8, 1], [-10, 4], [2, 8], [13, -1], [-10, -2], [-4, 0], [18, 0], [-16, -2], [13, 5], [-34, 0], [-11, -5], [9, -5], [16, 3], [-2, 8], [-21, 3], [5, 3], [12, 4], [0, 1], [-10, 8], [16, 2], [11, -1], [-30, 0], [-9, -1], [-16, -2], [-28, -3], [1, -9], [-2, 0], [6, -3], [18, -1], [24, -2], [0, -5], [12, 4], [19, -3], [-24, -2], [-24, 0], [-22, -3], [40, -2], [-19, 3], [38, -2], [-11, 5], [-4, 6], [-15, -1], [-20, 3], [-12, -6], [27, -1], [2, 2], [-8, 5], [4, 8], [2, 4], [-6, -6], [-14, 6], [-18, -2], [28, 4], [-42, 2], [-8, 0], [6, -8], [0, -8], [-16, -5], [24, -4], [-20, -3], [14, 4], [38, 1], [18, 3], [-32, 6], [0, -2], [24, -2], [3, 7], [-9, 7], [26, 5], [-5, -7], [-41, 1], [-8, -4], [8, -10], [-15, 7], [5, 1], [8, 4], [35, -3], [0, -3], [-4, -1], [-32, -1], [32, 0], [-24, -6], [1, 3], [2, 2], [26, 2], [8, -2], [4, 8], [4, -2], [28, 0], [-12, -6], [30, 4], [13, -3], [7, 5], [-9, 9]], 'char_orbit_index': 1, 'field_poly': [-15, -1, 1], 'hecke_orbit_code': 36028797052519078, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '678.2.a.i', 'level': 678, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 2, 4, 1, 3, 1, 0, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [7, 16, 12, 10, 9, 15, 14, 9], 'Nk2': 2712, 'analytic_conductor': 5.41385725704281, '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': [678, 1, [227, 229], [1, 1]], 'conrey_index': 1, 'cusp_dim': 111, 'dim': 19, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33555110, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4], 'label': '678.2.a', 'level': 678, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 113], 'level_radical': 678, 'mf_dim': 118, 'mf_new_dim': 19, 'num_forms': 11, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 19, 'sturm_bound': 228, 'trace_bound': 5, 'trace_display': [-1, 1, 2, 8], 'traces': [19, -1, 1, 19, 2, 1, 8, -1, 19, 2, 12, 1, -2, 0, -2, 19, 6, -1, 12, 2, 8, 0, 0, 1, 17, -6, 1, 8, -22, 2, 0, -1, 4, -2, -8, 19, 10, 4, 6, 2, -18, 8, 12, 12, 2, 16, 8, 1, 27, 1, -2, -2, -22, 1, -32, 0, 0, -6, 4, -2, -34, 0, 8, 19, -44, -4, 36, 6, -16, 8, 0, -1, -10, 10, 15, 12, -16, -2, -8, 2, 19, 22, -36, 8, -16, -20, 2, 0, -42, 2, -20, 0, 24, 0, 8, 1, -14, 7, 12, 17, -54, 14, 16, -6, -28, -18, -28, 1, -34, -16, 6, 8, -1, -4, -20, -22, -2, -28, -8, 2, 27, -14, -30, 0, -60, 0, 12, -1, 24, -28, 4, 4, -40, 20, -2, -2, 62, -24, 8, -8, -4, -16, 0, 19, -60, -26, 9, 10, -38, -17, 24, 4, 6, -8, -24, 6, -30, 0, -2, 2, -8, -1, 8, -18, -8, -32, 16, 8, -39, -92, 12, 12, -30, -22, 52, 12, 0, -34, -68, 2, 66, 0, 30, 16, -12, 8, 8, 8, 8, -16, -48, 1, -42, 14, 32, 27, -6, 0, 8, 1, -24, -30, -16, -2, -28, 24, 0, -2, -32, -32, -32, -22, -32, 36, 0, 1, 20, -22, 18, -32, -20, -6, 16, 0, 17, 7, 28, 0, -22, 40, -32, -6, 78, -6, 40, 4, 20, -16, -56, 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150, 80, -124, 78, -88, -20, -8, -6, 150, -192, -38, 40, -102, -2, 24, 4, -28, 80, 84, 20, 68, 156, 238, -16, 198, -18, 44, -56, 80, 96, -184, -2, 83, -84, -28, -38, 156, -88, 164, 11, 160, -76, -44, 1, -220, 8, -6, -34, 14, 76, -56, 26, -34, 212, -16, -22, 52, -116, 32, 40, 80, -16, -32, 0, -68, 128, 208, -20, 42, 84, 6, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 448818
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '678.2.a.i', 'source_level': 678, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '678.2.a.i', 'target_level': 678, 'twist_class_label': '678.2.a.i', 'twist_class_level': 678, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 448819
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '678.2.a.i', 'source_level': 678, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2034.2.a.j', 'target_level': 2034, 'twist_class_label': '678.2.a.i', 'twist_class_level': 678, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 448820
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '678.2.a.i', 'source_level': 678, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '5424.2.a.bc', 'target_level': 5424, 'twist_class_label': '678.2.a.i', 'twist_class_level': 678, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1200625
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 2}
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id: 1200626
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 3}
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id: 1200627
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 5}
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id: 1200628
{'charpoly_factorization': [[[-15, -1, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 7}
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id: 1200629
{'charpoly_factorization': [[[-13, 3, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 11}
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id: 1200630
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 13}
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id: 1200631
{'charpoly_factorization': [[[-3, -7, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 17}
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id: 1200632
{'charpoly_factorization': [[[-15, -1, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 19}
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id: 1200633
{'charpoly_factorization': [[[-15, -1, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 23}
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id: 1200634
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 29}
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id: 1200635
{'charpoly_factorization': [[[15, -11, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 31}
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id: 1200636
{'charpoly_factorization': [[[5, 9, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 37}
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id: 1200637
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 41}
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id: 1200638
{'charpoly_factorization': [[[27, 13, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 43}
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id: 1200639
{'charpoly_factorization': [[[27, -13, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 47}
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id: 1200640
{'charpoly_factorization': [[[-137, 1, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 53}
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id: 1200641
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 59}
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id: 1200642
{'charpoly_factorization': [[[-60, -2, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 61}
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id: 1200643
{'charpoly_factorization': [[[-13, -3, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 67}
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id: 1200644
{'charpoly_factorization': [[[-137, 1, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 71}
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id: 1200645
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 73}
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id: 1200646
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36028797052519078, 'p': 79}
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id: 1200647
{'charpoly_factorization': [[[57, 17, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 83}
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id: 1200648
{'charpoly_factorization': [[[117, 23, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 89}
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id: 1200649
{'charpoly_factorization': [[[-137, 1, 1], 1]], 'hecke_orbit_code': 36028797052519078, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '678.2.a.i', 'level': 678, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50309977
{'hecke_orbit_code': 36028797052519078, 'n': 1, 'trace_an': 2}
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id: 50309978
{'hecke_orbit_code': 36028797052519078, 'n': 2, 'trace_an': 2}
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id: 50309979
{'hecke_orbit_code': 36028797052519078, 'n': 3, 'trace_an': 2}
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id: 50309980
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