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mf_newforms • Show schema
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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [7, [-5, 50, -10, -5, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934635513, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '5625.2.a.l', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '5625.2.a.k', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}+(\\beta _{2}-2\\beta _{3})q^{7}+(1+3\\beta _{1}+\\beta _{3})q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '5625.2.a', 'trace_display': [0, 0, 0, 5], 'trace_hash': 1817323163893860011, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.667', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.270', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.20905692653530694, 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934635513, 'label': '5625.2.a.l.1.1', 'level': 5625, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_cc • Show schema
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id: 47302235
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934635513, 'source_is_minimal': True, 'source_label': '5625.2.a.l.1.1', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635513, 'target_is_minimal': True, 'target_label': '5625.2.a.l.1.1', 'target_level': 5625, 'twist_class_label': '5625.2.a.k.1.4', 'twist_class_level': 5625, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47302236
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934635513, 'source_is_minimal': True, 'source_label': '5625.2.a.l.1.1', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635513, 'target_is_minimal': True, 'target_label': '5625.2.a.l.1.1', 'target_level': 5625, 'twist_class_label': '5625.2.a.k.1.4', 'twist_class_level': 5625, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47302237
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934635513, 'source_is_minimal': True, 'source_label': '5625.2.a.l.1.1', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307265017, 'target_is_minimal': True, 'target_label': '5625.2.a.k.1.4', 'target_level': 5625, 'twist_class_label': '5625.2.a.k.1.4', 'twist_class_level': 5625, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47302238
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934635513, 'source_is_minimal': True, 'source_label': '5625.2.a.l.1.1', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307265017, 'target_is_minimal': True, 'target_label': '5625.2.a.k.1.4', 'target_level': 5625, 'twist_class_label': '5625.2.a.k.1.4', 'twist_class_level': 5625, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3952575
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 2}
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id: 3952576
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 3}
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id: 3952577
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 5}
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id: 3952578
{'charpoly_factorization': [[[-5, 50, -10, -5, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 7}
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id: 3952579
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 11}
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id: 3952580
{'charpoly_factorization': [[[-155, 200, -40, -5, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 13}
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id: 3952581
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 17}
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id: 3952582
{'charpoly_factorization': [[[1711, 94, -94, -1, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 19}
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id: 3952583
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 23}
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id: 3952584
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 29}
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id: 3952585
{'charpoly_factorization': [[[-389, 742, -106, -7, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 31}
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id: 3952586
{'charpoly_factorization': [[[-1655, -850, -85, 10, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 37}
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id: 3952587
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 41}
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id: 3952588
{'charpoly_factorization': [[[4495, 950, -190, -5, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 43}
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id: 3952589
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 47}
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id: 3952590
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 53}
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id: 3952591
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 59}
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id: 3952592
{'charpoly_factorization': [[[-4379, 1768, -136, -13, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 61}
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id: 3952593
{'charpoly_factorization': [[[14695, 1550, -310, -5, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 67}
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id: 3952594
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 71}
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id: 3952595
{'charpoly_factorization': [[[145, -2650, -265, 10, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 73}
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id: 3952596
{'charpoly_factorization': [[[25141, 1516, -379, -4, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 79}
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id: 3952597
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 83}
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id: 3952598
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934635513, 'p': 89}
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id: 3952599
{'charpoly_factorization': [[[35545, 2300, -460, -5, 1], 1]], 'hecke_orbit_code': 49539595934635513, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '5625.2.a.l', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 217537000
{'hecke_orbit_code': 49539595934635513, 'n': 1, 'trace_an': 4}
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id: 217537001
{'hecke_orbit_code': 49539595934635513, 'n': 2, 'trace_an': 0}
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id: 217537002
{'hecke_orbit_code': 49539595934635513, 'n': 3, 'trace_an': 0}
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id: 217537003
{'hecke_orbit_code': 49539595934635513, 'n': 4, 'trace_an': -8}
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id: 217537004
{'hecke_orbit_code': 49539595934635513, 'n': 5, 'trace_an': 0}
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id: 217537005
{'hecke_orbit_code': 49539595934635513, 'n': 6, 'trace_an': 0}
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id: 217537006
{'hecke_orbit_code': 49539595934635513, 'n': 7, 'trace_an': 5}
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id: 217537007
{'hecke_orbit_code': 49539595934635513, 'n': 8, 'trace_an': 0}
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id: 217537008
{'hecke_orbit_code': 49539595934635513, 'n': 9, 'trace_an': 0}
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id: 217537009
{'hecke_orbit_code': 49539595934635513, 'n': 10, 'trace_an': 0}
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id: 217537010
{'hecke_orbit_code': 49539595934635513, 'n': 11, 'trace_an': 0}
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