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{'Nk2': 20700, 'analytic_conductor': 41.322583046012596, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [23, 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': [5175, 1, [4601, 3727, 2926], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[2, [-1, 1]], [7, [-1, 1]], [11, [-1, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580969527, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5175.2.a.u', 'level': 5175, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 23], 'level_radical': 345, 'minimal_twist': '575.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{4}+q^{7}-3q^{8}+q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/5175/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5175.2.a', 'trace_display': [1, 0, 0, 1], 'trace_hash': 886680140785354124, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.052', 'prec': 17}, {'__RealLiteral__': 0, 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{'AL_dims': [[[[3, -1], [5, -1], [23, 1]], 25, 11], [[[3, -1], [5, 1], [23, 1]], 29, 15], [[[3, -1], [5, -1], [23, -1]], 31, 12], [[[3, 1], [5, 1], [23, 1]], 17, 4], [[[3, 1], [5, 1], [23, -1]], 17, 4], [[[3, 1], [5, -1], [23, -1]], 17, 2], [[[3, 1], [5, -1], [23, 1]], 17, 2], [[[3, -1], [5, 1], [23, -1]], 20, 12]], 'ALdims': [17, 17, 17, 17, 29, 20, 25, 31], 'Nk2': 20700, 'analytic_conductor': 41.322583046012596, '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': [5175, 1, [4601, 3727, 2926], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 173, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33559607, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 10, 10], 'label': '5175.2.a', 'level': 5175, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 23], 'level_radical': 345, 'mf_dim': 744, 'mf_new_dim': 173, 'num_forms': 62, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 173, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [-2, 0, 0, 2], 'traces': [173, -2, 0, 170, 0, 0, 2, -15, 0, 0, 2, 0, -8, -20, 0, 164, -4, 0, -4, 0, 0, 10, -3, 0, 0, 25, 0, -10, 24, 0, -12, -12, 0, 10, 0, 0, -24, 18, 0, 0, -4, 0, 20, -8, 0, -2, -16, 0, 161, 0, 0, -1, 10, 0, 0, -2, 0, 17, -36, 0, 22, 37, 0, 191, 0, 0, 2, -28, 0, 0, -16, 0, 8, 40, 0, -6, 36, 0, -68, 0, 0, -17, -22, 0, 0, 12, 0, 10, -2, 0, -90, -6, 0, -25, 0, 0, 12, -46, 0, 0, 70, 0, -46, 42, 0, 60, 24, 0, 46, 0, 0, 12, -4, 0, 0, 107, 0, 4, 40, 0, 193, -8, 0, -83, 0, 0, -8, 2, 0, 0, 44, 0, -16, 50, 0, 108, -14, 0, -64, 0, 0, 111, 6, 0, 0, 1, 0, 2, 82, 0, -116, 104, 0, -16, 0, 0, 54, -70, 0, 0, 6, 0, -36, -41, 0, -76, -12, 0, 205, 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mf_twists_cc • Show schema
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id: 48324116
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580969527, 'target_is_minimal': False, 'target_label': '5175.2.a.u.1.1', 'target_level': 5175, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48324117
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295999, 'target_is_minimal': True, 'target_label': '575.2.a.c.1.1', 'target_level': 575, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48324118
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543041591, 'target_is_minimal': False, 'target_label': '5175.2.a.e.1.1', 'target_level': 5175, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48324119
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698862064, 'target_is_minimal': False, 'target_label': '9200.2.a.r.1.1', 'target_level': 9200, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48324120
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402239, 'target_is_minimal': False, 'target_label': '575.2.b.b.24.1', 'target_level': 575, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48324121
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402239, 'target_is_minimal': False, 'target_label': '575.2.b.b.24.2', 'target_level': 575, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48324122
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666495, 'target_is_minimal': True, 'target_label': '575.2.a.d.1.1', 'target_level': 575, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48324123
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 90071992580969527, 'source_is_minimal': False, 'source_label': '5175.2.a.u.1.1', 'source_level': 5175, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580973552, 'target_is_minimal': False, 'target_label': '9200.2.a.u.1.1', 'target_level': 9200, 'twist_class_label': '575.2.a.c.1.1', 'twist_class_level': 575, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3819000
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 2}
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id: 3819001
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 3}
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id: 3819002
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 5}
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id: 3819003
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 7}
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id: 3819004
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 11}
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id: 3819005
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 13}
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id: 3819006
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 17}
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id: 3819007
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 19}
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id: 3819008
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 23}
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id: 3819009
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 29}
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id: 3819010
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 31}
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id: 3819011
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 37}
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id: 3819012
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 41}
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id: 3819013
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 43}
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id: 3819014
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 47}
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id: 3819015
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 53}
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id: 3819016
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 59}
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id: 3819017
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 61}
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id: 3819018
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 67}
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id: 3819019
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 71}
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id: 3819020
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 73}
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id: 3819021
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 79}
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id: 3819022
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 83}
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id: 3819023
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 89}
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id: 3819024
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580969527, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '5175.2.a.u', 'level': 5175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249514000
{'hecke_orbit_code': 90071992580969527, 'n': 1, 'trace_an': 1}
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id: 249514001
{'hecke_orbit_code': 90071992580969527, 'n': 2, 'trace_an': 1}
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id: 249514002
{'hecke_orbit_code': 90071992580969527, 'n': 3, 'trace_an': 0}
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id: 249514003
{'hecke_orbit_code': 90071992580969527, 'n': 4, 'trace_an': -1}
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