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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [37, -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': [1850, 1, [1777, 1001], [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, [5, -1, -3, 1]], [7, [34, -8, -4, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345189178, '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': True, 'label': '1850.2.a.ba', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '1850.2.a.ba', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(1+\\beta _{2})q^{3}+q^{4}+(-1-\\beta _{2})q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.a', 'trace_display': [-3, 3, 0, 4], 'trace_hash': 1789947877941526103, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.914', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.143', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.375', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '260.897', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, -3, 3, 3, 0, -3, 4, -3, 2, 0, -1, 3, 12, -4, 0, 3, -1, -2, 3, 0, 0, 1, 8, -3, 0, -12, 3, 4, -2, 0, -6, -3, 17, 1, 0, 2, 3, -3, 20, 0, -21, 0, 8, -1, 0, -8, 4, 3, 11, 0, -13, 12, 6, -3, 0, -4, 1, 2, 8, 0, -8, 6, 10, 3, 0, -17, 13, -1, 20, 0, -8, -2, 31, -3, 0, 3, 2, -20, 22, 0, -13, 21, 7, 0, 0, -8, -10, 1, -3, 0, 12, 8, -12, -4, 0, -3, 6, -11, 28, 0, -16, 13, -12, -12, 0, -6, 7, 3, 4, 0, 3, 4, -9, -1, 0, -2, 18, -8, -20, 0, 14, 8, -37, -6, 0, -10, 4, -3, -26, 0, 28, 17, 42, -13, 0, 1, 21, -20, 7, 0, -4, 8, 14, 2, 0, -31, 5, 3, 2, 0, 12, -3, -28, -2, 0, 20, 28, -22, 2, 0, -20, 13, -5, -21, 0, -7, 26, 0, 17, 0, 18, 8, 6, 10, 0, -1, -26, 3, 15, 0, 2, -12, 8, -8, 0, 12, -39, 4, 46, 0, 26, 3, 17, -6, 0, 11, -12, -28, -6, 0, 29, 16, -48, -13, 0, 12, 8, 12, 13, 0, -9, 6, 8, -7, 0, -3, -42, -4, 37, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [-1, 0, 0], [1, 0, 1], [1, 0, 0], [0, 0, 0], [-1, 0, -1], [2, -2, -1], [-1, 0, 0], [1, -1, 1], [0, 0, 0], [0, -1, 2], [1, 0, 1], [4, 0, 1], [-2, 2, 1], [0, 0, 0], [1, 0, 0], [-1, 2, -1], [-1, 1, -1], [2, -3, -1], [0, 0, 0], [1, -3, 2], [0, 1, -2], [2, 2, 2], [-1, 0, -1], [0, 0, 0], [-4, 0, -1], [2, -3, -2], [2, -2, -1], [-2, 4, 0], [0, 0, 0], [-3, 3, 0], [-1, 0, 0], [7, -4, 0], [1, -2, 1], [0, 0, 0], [1, -1, 1], [1, 0, 0], [-2, 3, 1], [7, -1, 4], [0, 0, 0], [-7, 0, -2], [-1, 3, -2], [1, 5, -3], [0, -1, 2], [0, 0, 0], [-2, -2, -2], [0, 4, 0], [1, 0, 1], [4, -1, -1], [0, 0, 0], [-6, 5, -1], [4, 0, 1], [4, -6, -2], [-2, 3, 2], [0, 0, 0], [-2, 2, 1], [2, -5, 2], [2, -4, 0], [1, 5, -3], [0, 0, 0], [-4, 4, 3], [3, -3, 0], [4, -2, 4], [1, 0, 0], [0, 0, 0], [-7, 4, 0], [3, 4, 3], [-1, 2, -1], [6, 2, 2], [0, 0, 0], [-4, 4, 3], [-1, 1, -1], [10, 1, 1], [-1, 0, 0], [0, 0, 0], [2, -3, -1], [1, -1, 8], [-7, 1, -4], [8, -2, -2], [0, 0, 0], [-4, -1, -1], [7, 0, 2], [2, 1, 8], [1, 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-4], [-19, 37, 0], [42, -12, -2], [-6, 27, 2], [31, -27, -9], [16, 28, -9], [30, -40, -16], [-33, -7, -32], [-33, -2, 20], [-24, 14, 28], [7, -18, 24], [-14, 16, 18], [-8, -2, -8], [-24, 10, 29], [8, 9, -23], [-3, -41, -12], [-47, -3, -7], [29, -18, 15], [13, -30, -29], [8, 2, -15], [15, -7, 16], [-26, 1, 0], [-17, 23, 29], [1, 0, 14], [56, -24, 5], [-32, 36, 0], [-65, 3, -14], [13, -35, 0], [-25, 16, 33], [-4, -30, -15], [-5, -30, -48], [22, 5, 22], [-1, 37, -27], [50, -36, -22], [62, -37, -14], [-32, 8, -8], [-28, -13, -3], [17, -23, -31], [50, 16, -12], [-76, -8, -17], [34, -16, -17], [-38, 6, -8], [-2, -10, 2], [6, 23, 39], [-28, -32, 19], [20, 1, -13], [7, 22, -8], [-22, 22, -2], [-33, -12, -4], [-30, 2, 16], [-44, 11, 11], [-74, 1, -12], [-21, -31, 8], [-38, -18, -32], [-6, -1, -8], [15, 29, -36], [43, 18, -3], [12, 4, 13], [-22, 20, 18], [40, -46, -21], [-21, -23, -7], [-30, 34, 24], [14, -13, 14], [-22, 29, 3], [0, 6, 16], [7, -26, -14], [-59, 41, 19], [1, -2, 7], [-8, 0, -14], [16, 10, 1], [-6, 14, 1], [47, 24, 6], [34, 8, 6], [-4, 42, 34], [-34, 34, 1], [-58, 16, 12], [19, -38, -7], [-12, -35, 31], [-36, -14, -36], [60, 16, -4], [-42, 43, 9], [53, 14, 15], [-50, -6, 0]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 117093590345189178, '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': '1850.2.a.ba', 'level': 1850, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 11, 4], [[[2, -1], [5, -1], [37, 1]], 5, 3], [[[2, 1], [5, 1], [37, -1]], 8, 3], [[[2, -1], [5, 1], [37, -1]], 4, 4], [[[2, -1], [5, 1], [37, 1]], 8, 5], [[[2, 1], [5, -1], [37, 1]], 9, 4], [[[2, 1], [5, -1], [37, -1]], 5, 4], [[[2, 1], [5, 1], [37, 1]], 7, 4]], 'ALdims': [7, 8, 9, 5, 8, 4, 5, 11], 'Nk2': 7400, 'analytic_conductor': 14.772324373936872, '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': [1850, 1, [1777, 1001], [1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 57, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556282, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5], 'label': '1850.2.a', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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-68, -72, -504, 0, -116, -24, -246, 226, 0, 152, -120, -116, 420, 0, -744, 20, 320, 380, 0, -28, -20, 67, -242, 0, 212, -356, -184, 336, 0, -26, 98, -76, 20, 0, -632, 236, 140, -180, 0, -138, -24, 28, 6, 0, 556, 44, 144, 96, 0, 175, 330, -64, 212, 0, -396, 376, -42, 120, 0, -168, -188, 56, 196, 0, 12, 2, 228, 180, 0, -120, 72, -152, 16, 0, -596, 260, -408, 2, 0, -144, -200, -62, 128, 0, 260, 246, -6, 108, 0, 50, -142, 284, 556, 0, -24, -50, 254, 148, 0, 312, -36, 64, -64, 0, 170, 160, -160, -672, 0, 4, 240, 118, 332, 0, -948, 16, 128, 22, 0, -136, 320, -88, -10, 0, 552, 12, 216, 12, 0, 20, 47, 44, -56, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 826388
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': True, 'source_label': '1850.2.a.ba', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': True, 'target_label': '1850.2.a.ba', 'target_level': 1850, 'twist_class_label': '1850.2.a.ba', 'twist_class_level': 1850, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826389
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': True, 'source_label': '1850.2.a.ba', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 28, 'target_is_minimal': True, 'target_label': '1850.2.a.bb', 'target_level': 1850, 'twist_class_label': '1850.2.a.ba', 'twist_class_level': 1850, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 826390
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 27, 'source_is_minimal': True, 'source_label': '1850.2.a.ba', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1850.2.b.n', 'target_level': 1850, 'twist_class_label': '1850.2.a.ba', 'twist_class_level': 1850, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2252775
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 117093590345189178, 'p': 2}
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id: 2252776
{'charpoly_factorization': [[[5, -1, -3, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 3}
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id: 2252777
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 117093590345189178, 'p': 5}
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id: 2252778
{'charpoly_factorization': [[[34, -8, -4, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 7}
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id: 2252779
{'charpoly_factorization': [[[-25, -23, 1, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 11}
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id: 2252780
{'charpoly_factorization': [[[-46, 44, -12, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 13}
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id: 2252781
{'charpoly_factorization': [[[29, -21, 1, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 17}
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id: 2252782
{'charpoly_factorization': [[[79, -25, -3, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 19}
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id: 2252783
{'charpoly_factorization': [[[32, 0, -8, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 23}
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id: 2252784
{'charpoly_factorization': [[[-40, -52, 2, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 29}
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id: 2252785
{'charpoly_factorization': [[[-54, -18, 6, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 31}
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id: 2252786
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 117093590345189178, 'p': 37}
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id: 2252787
{'charpoly_factorization': [[[215, 131, 21, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 41}
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id: 2252788
{'charpoly_factorization': [[[1076, -128, -8, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 43}
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id: 2252789
{'charpoly_factorization': [[[64, -48, -4, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 47}
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id: 2252790
{'charpoly_factorization': [[[632, -100, -6, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 53}
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id: 2252791
{'charpoly_factorization': [[[1076, -128, -8, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 59}
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id: 2252792
{'charpoly_factorization': [[[-290, -44, 8, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 61}
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id: 2252793
{'charpoly_factorization': [[[67, -9, -13, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 67}
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id: 2252794
{'charpoly_factorization': [[[-290, -44, 8, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 71}
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id: 2252795
{'charpoly_factorization': [[[-1049, 315, -31, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 73}
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id: 2252796
{'charpoly_factorization': [[[-232, 140, -22, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 79}
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id: 2252797
{'charpoly_factorization': [[[1819, -227, -7, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 83}
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id: 2252798
{'charpoly_factorization': [[[-27, -27, 3, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 89}
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id: 2252799
{'charpoly_factorization': [[[40, -4, -6, 1], 1]], 'hecke_orbit_code': 117093590345189178, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '1850.2.a.ba', 'level': 1850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 260180000
{'hecke_orbit_code': 117093590345189178, 'n': 1, 'trace_an': 3}
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id: 260180001
{'hecke_orbit_code': 117093590345189178, 'n': 2, 'trace_an': -3}
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id: 260180002
{'hecke_orbit_code': 117093590345189178, 'n': 3, 'trace_an': 3}
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id: 260180003
{'hecke_orbit_code': 117093590345189178, 'n': 4, 'trace_an': 3}
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id: 260180004
{'hecke_orbit_code': 117093590345189178, 'n': 5, 'trace_an': 0}
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id: 260180005
{'hecke_orbit_code': 117093590345189178, 'n': 6, 'trace_an': -3}
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id: 260180006
{'hecke_orbit_code': 117093590345189178, 'n': 7, 'trace_an': 4}
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id: 260180007
{'hecke_orbit_code': 117093590345189178, 'n': 8, 'trace_an': -3}
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