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{'Nk2': 27104, 'analytic_conductor': 99.9492355497246, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [11, -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': [1694, 1, [969, 365], [1, 1]], 'cm_discs': [], 'conrey_index': 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': [[3, [2, 1]], [5, [12, 1]], [13, [56, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694481054, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1694.4.a.b', 'level': 1694, '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': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '14.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}-2q^{3}+4q^{4}-12q^{5}+4q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1694.4.a', 'trace_display': [-2, -2, -12, -7], 'trace_hash': 1375483094427147167, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [23, 19, 17, 24, 19, 21, 25, 16], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [79, 72, 73, 77, 77, 76, 71, 79], 'Nk2': 27104, 'analytic_conductor': 99.9492355497246, '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': [1694, 1, [969, 365], [1, 1]], 'conrey_index': 1, 'cusp_dim': 768, 'dim': 164, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 67110558, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10], 'label': '1694.4.a', 'level': 1694, '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': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 816, 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mf_twists_nf • Show schema
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id: 791080
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '14.4.a.b', 'target_level': 14, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 791081
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '98.4.a.e', 'target_level': 98, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 791082
{'conductor': 77, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '98.4.c.b', 'target_level': 98, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '77.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 791083
{'conductor': 77, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '98.4.c.c', 'target_level': 98, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '77.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 791084
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '112.4.a.e', 'target_level': 112, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 791085
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '126.4.a.d', 'target_level': 126, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 791086
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '350.4.a.f', 'target_level': 350, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 791087
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '350.4.c.g', 'target_level': 350, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 791088
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '448.4.a.g', 'target_level': 448, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 791089
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '448.4.a.k', 'target_level': 448, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 791090
{'conductor': 308, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.4.a.h', 'target_level': 784, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '308.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 791091
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.4.a.b', 'target_level': 882, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 791092
{'conductor': 231, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '882.4.g.p', 'target_level': 882, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '231.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 791093
{'conductor': 231, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '882.4.g.v', 'target_level': 882, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '231.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 791094
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1008.4.a.r', 'target_level': 1008, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 791095
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1694.4.a.b', 'target_level': 1694, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 791096
{'conductor': 143, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2366.4.a.c', 'target_level': 2366, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '143.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 791097
{'conductor': 385, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1694.4.a.b', 'source_level': 1694, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2450.4.a.i', 'target_level': 2450, 'twist_class_label': '14.4.a.b', 'twist_class_level': 14, 'twisting_char_label': '385.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2136950
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 2}
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id: 2136951
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 3}
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id: 2136952
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 5}
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id: 2136953
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 7}
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id: 2136954
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 11}
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id: 2136955
{'charpoly_factorization': [[[56, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 13}
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id: 2136956
{'charpoly_factorization': [[[-114, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 17}
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id: 2136957
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 19}
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id: 2136958
{'charpoly_factorization': [[[120, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 23}
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id: 2136959
{'charpoly_factorization': [[[-54, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 29}
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id: 2136960
{'charpoly_factorization': [[[-236, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 31}
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id: 2136961
{'charpoly_factorization': [[[-146, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 37}
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id: 2136962
{'charpoly_factorization': [[[126, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 41}
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id: 2136963
{'charpoly_factorization': [[[-376, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 43}
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id: 2136964
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 47}
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id: 2136965
{'charpoly_factorization': [[[-174, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 53}
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id: 2136966
{'charpoly_factorization': [[[-138, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 59}
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id: 2136967
{'charpoly_factorization': [[[380, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 61}
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id: 2136968
{'charpoly_factorization': [[[484, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 67}
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id: 2136969
{'charpoly_factorization': [[[-576, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 71}
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id: 2136970
{'charpoly_factorization': [[[-1150, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 73}
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id: 2136971
{'charpoly_factorization': [[[776, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 79}
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id: 2136972
{'charpoly_factorization': [[[378, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 83}
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id: 2136973
{'charpoly_factorization': [[[390, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 89}
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id: 2136974
{'charpoly_factorization': [[[1330, 1], 1]], 'hecke_orbit_code': 4503599694481054, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1694.4.a.b', 'level': 1694, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 19030920
{'hecke_orbit_code': 4503599694481054, 'n': 1, 'trace_an': 1}
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id: 19030921
{'hecke_orbit_code': 4503599694481054, 'n': 2, 'trace_an': -2}
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id: 19030922
{'hecke_orbit_code': 4503599694481054, 'n': 3, 'trace_an': -2}
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id: 19030923
{'hecke_orbit_code': 4503599694481054, 'n': 4, 'trace_an': 4}
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id: 19030924
{'hecke_orbit_code': 4503599694481054, 'n': 5, 'trace_an': -12}
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id: 19030925
{'hecke_orbit_code': 4503599694481054, 'n': 6, 'trace_an': 4}
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id: 19030926
{'hecke_orbit_code': 4503599694481054, 'n': 7, 'trace_an': -7}
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id: 19030927
{'hecke_orbit_code': 4503599694481054, 'n': 8, 'trace_an': -8}
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