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{'Nk2': 16456, 'analytic_conductor': 32.85045539155475, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, -1], [17, -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': [4114, 1, [3027, 2179], [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, [0, 1]], [5, [0, 1]], [7, [-2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299538, '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': '4114.2.a.c', 'level': 4114, '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, 11, 17], 'level_radical': 374, 'minimal_twist': '374.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+2q^{7}+q^{8}-3q^{9}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4114/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4114.2.a', 'trace_display': [1, 0, 0, 2], 'trace_hash': 999442407966814229, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, 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0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299538, 'label': '4114.2.a.c.1.1', 'level': 4114, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [17, 19, 18, 18, 23, 13, 13, 23], 'Nk2': 16456, 'analytic_conductor': 32.85045539155475, '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': [4114, 1, [3027, 2179], [1, 1]], 'conrey_index': 1, 'cusp_dim': 571, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33558546, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 8, 8, 8, 8, 10, 10], 'label': '4114.2.a', 'level': 4114, '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, 11, 17], 'level_radical': 374, 'mf_dim': 618, 'mf_new_dim': 144, 'num_forms': 38, 'plus_dim': 61, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 1188, 'trace_bound': 7, 'trace_display': 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32, 0, 104, 32, 56, -112, 28, -136, 16, 144, -372, -160, 0, 18, 40, -400, 26, -356, -176, -16, 56, -424, -64, 0, 84, 92, 96, 44, 0, 26, -60, -8, 28, -136, 0, 174, 8, -536, 240, -168, 4, 136, 124, 104, -96, 0, 56, -48, 8, 168, -12, -230, 28, 204, -304, -128, 0, -48, 20, 228, 142, -520, -128, -108, -38, -32, -12, 0, 154, -210, -328, -256, -60, 52, 14, -64, -112, 32, 0, 208, 20, 120, -56, 240, 72, 90, -34, -424, 84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40174105
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299538, 'source_is_minimal': False, 'source_label': '4114.2.a.c.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299538, 'target_is_minimal': False, 'target_label': '4114.2.a.c.1.1', 'target_level': 4114, 'twist_class_label': '374.2.a.a.1.1', 'twist_class_level': 374, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40174106
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299538, 'source_is_minimal': False, 'source_label': '4114.2.a.c.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554806, 'target_is_minimal': True, 'target_label': '374.2.a.a.1.1', 'target_level': 374, 'twist_class_label': '374.2.a.a.1.1', 'twist_class_level': 374, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40174107
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299538, 'source_is_minimal': False, 'source_label': '4114.2.a.c.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189374246, 'target_is_minimal': False, 'target_label': '3366.2.a.n.1.1', 'target_level': 3366, 'twist_class_label': '374.2.a.a.1.1', 'twist_class_level': 374, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 40174108
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299538, 'source_is_minimal': False, 'source_label': '4114.2.a.c.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543039408, 'target_is_minimal': False, 'target_label': '2992.2.a.e.1.1', 'target_level': 2992, 'twist_class_label': '374.2.a.a.1.1', 'twist_class_level': 374, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 40174109
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299538, 'source_is_minimal': False, 'source_label': '4114.2.a.c.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599937670, 'target_is_minimal': False, 'target_label': '9350.2.a.bc.1.1', 'target_level': 9350, 'twist_class_label': '374.2.a.a.1.1', 'twist_class_level': 374, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 40174110
{'conductor': 187, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299538, 'source_is_minimal': False, 'source_label': '4114.2.a.c.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915672278, 'target_is_minimal': False, 'target_label': '6358.2.a.d.1.1', 'target_level': 6358, 'twist_class_label': '374.2.a.a.1.1', 'twist_class_level': 374, 'twisting_char_label': '187.186', 'twisting_conrey_index': 186, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3502800
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 2}
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id: 3502801
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 3}
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id: 3502802
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 5}
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id: 3502803
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 7}
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id: 3502804
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 11}
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id: 3502805
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 13}
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id: 3502806
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 17}
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id: 3502807
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 19}
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id: 3502808
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 23}
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id: 3502809
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 29}
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id: 3502810
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 31}
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id: 3502811
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 37}
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id: 3502812
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 41}
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id: 3502813
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 43}
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id: 3502814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 47}
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id: 3502815
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 53}
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id: 3502816
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 59}
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id: 3502817
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 61}
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id: 3502818
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 67}
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id: 3502819
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 71}
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id: 3502820
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 73}
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id: 3502821
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 79}
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id: 3502822
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 83}
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id: 3502823
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 89}
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id: 3502824
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288299538, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '4114.2.a.c', 'level': 4114, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 26943949
{'hecke_orbit_code': 9007199288299538, 'n': 1, 'trace_an': 1}
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id: 26943950
{'hecke_orbit_code': 9007199288299538, 'n': 2, 'trace_an': 1}
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id: 26943951
{'hecke_orbit_code': 9007199288299538, 'n': 3, 'trace_an': 0}
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id: 26943952
{'hecke_orbit_code': 9007199288299538, 'n': 4, 'trace_an': 1}
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id: 26943953
{'hecke_orbit_code': 9007199288299538, 'n': 5, 'trace_an': 0}
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id: 26943954
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