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{'Nk2': 8664, 'analytic_conductor': 17.29559707780933, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, 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': [2166, 1, [1445, 1807], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [1, -12, 19, -8, 1]], [7, [1, -3, 1]], [13, [16, 16, -24, -4, 1]], [29, [-395, -210, -5, 10, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835707510, 'hecke_ring_generator_nbound': 5, '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': '2166.2.a.w', 'level': 2166, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '2166.2.a.w', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(2+\\beta _{1})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2166.2.a', 'trace_display': [-4, 4, 8, 6], 'trace_hash': 2061522417993262420, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.863', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.819', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.512', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '718.129', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [4, -4, 4, 4, 8, -4, 6, -4, 4, -8, 12, 4, 4, -6, 8, 4, 4, -4, 0, 8, 6, -12, 12, -4, 6, -4, 4, 6, -10, -8, 8, -4, 12, -4, 12, 4, -8, 0, 4, -8, 8, -6, -4, 12, 8, -12, 4, 4, -14, -6, 4, 4, 10, -4, 24, -6, 0, 10, 6, 8, 4, -8, 6, 4, 8, -12, -12, 4, 12, -12, 0, -4, -10, 8, 6, 0, 28, -4, -32, 8, 4, -8, 8, 6, -12, 4, -10, -12, 16, -8, -4, 12, 8, -4, 0, -4, -8, 14, 12, 6, 8, -4, 0, -4, 12, -10, -6, 4, -4, -24, -8, 6, 8, 0, 24, -10, 4, -6, -4, -8, 22, -4, 8, 8, 12, -6, -56, -4, -4, -8, 16, 12, 0, 12, 8, -4, -8, -12, 8, 12, 4, 0, 12, 4, -40, 10, -14, -8, 24, -6, -24, 0, 4, -28, -4, 4, -24, 32, 10, -8, 8, -4, -8, 8, 24, -8, 16, -6, 12, 12, 0, -4, 50, 10, 14, 12, 6, -16, -2, 8, 4, 4, 4, -12, 24, -8, 12, 4, 6, 0, 20, 4, -8, 8, 8, -14, -28, -12, 10, -6, -12, -8, 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3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.1755705045849463, 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835707510, 'label': '2166.2.a.w.1.3', 'level': 2166, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 11, 5], [[[2, -1], [3, 1], [19, -1]], 5, 2], [[[2, -1], [3, 1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [19, 1]], 4, 2], [[[2, 1], [3, -1], [19, -1]], 7, 4], [[[2, -1], [3, -1], [19, 1]], 3, 1], [[[2, 1], [3, 1], [19, -1]], 10, 4], [[[2, 1], [3, -1], [19, 1]], 8, 3]], 'ALdims': [4, 10, 8, 7, 9, 5, 3, 11], 'Nk2': 8664, 'analytic_conductor': 17.29559707780933, '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': [2166, 1, [1445, 1807], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 57, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13, 29], 'hecke_orbit_code': 33556598, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '2166.2.a', 'level': 2166, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
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id: 48427328
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835707510, 'source_is_minimal': True, 'source_label': '2166.2.a.w.1.3', 'source_level': 2166, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835707510, 'target_is_minimal': True, 'target_label': '2166.2.a.w.1.3', 'target_level': 2166, 'twist_class_label': '2166.2.a.w.1.3', 'twist_class_level': 2166, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48427329
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835707510, 'source_is_minimal': True, 'source_label': '2166.2.a.w.1.3', 'source_level': 2166, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402085730, 'target_is_minimal': False, 'target_label': '6498.2.a.by.1.2', 'target_level': 6498, 'twist_class_label': '2166.2.a.w.1.3', 'twist_class_level': 2166, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48427330
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835707510, 'source_is_minimal': True, 'source_label': '2166.2.a.w.1.3', 'source_level': 2166, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463078006, 'target_is_minimal': True, 'target_label': '2166.2.a.x.1.3', 'target_level': 2166, 'twist_class_label': '2166.2.a.w.1.3', 'twist_class_level': 2166, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48427331
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835707510, 'source_is_minimal': True, 'source_label': '2166.2.a.w.1.3', 'source_level': 2166, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519974242, 'target_is_minimal': False, 'target_label': '6498.2.a.bv.1.2', 'target_level': 6498, 'twist_class_label': '2166.2.a.w.1.3', 'twist_class_level': 2166, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2466650
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 99079191835707510, 'p': 2}
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id: 2466651
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 99079191835707510, 'p': 3}
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id: 2466652
{'charpoly_factorization': [[[1, -12, 19, -8, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 5}
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id: 2466653
{'charpoly_factorization': [[[1, -3, 1], 2]], 'hecke_orbit_code': 99079191835707510, 'p': 7}
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id: 2466654
{'charpoly_factorization': [[[-79, -8, 39, -12, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 11}
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id: 2466655
{'charpoly_factorization': [[[16, 16, -24, -4, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 13}
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id: 2466656
{'charpoly_factorization': [[[-304, 256, -44, -4, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 17}
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id: 2466657
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 99079191835707510, 'p': 19}
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id: 2466658
{'charpoly_factorization': [[[-64, 32, 24, -12, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 23}
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id: 2466659
{'charpoly_factorization': [[[-395, -210, -5, 10, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 29}
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id: 2466660
{'charpoly_factorization': [[[-1264, 608, -56, -8, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 31}
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id: 2466661
{'charpoly_factorization': [[[976, -288, -56, 8, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 37}
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id: 2466662
{'charpoly_factorization': [[[1616, 368, -76, -8, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 41}
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id: 2466663
{'charpoly_factorization': [[[-944, -656, -104, 4, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 43}
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id: 2466664
{'charpoly_factorization': [[[976, 336, -104, -4, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 47}
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id: 2466665
{'charpoly_factorization': [[[-395, 210, -5, -10, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 53}
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id: 2466666
{'charpoly_factorization': [[[-2179, 1014, -109, -6, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 59}
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id: 2466667
{'charpoly_factorization': [[[1616, 16, -104, -4, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 61}
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id: 2466668
{'charpoly_factorization': [[[-3904, -1632, -136, 12, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 67}
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id: 2466669
{'charpoly_factorization': [[[3280, 640, -200, 0, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 71}
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id: 2466670
{'charpoly_factorization': [[[505, -210, -65, 10, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 73}
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id: 2466671
{'charpoly_factorization': [[[461, 688, 299, 32, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 79}
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id: 2466672
{'charpoly_factorization': [[[4201, 508, -161, -8, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 83}
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id: 2466673
{'charpoly_factorization': [[[16, -96, 76, -16, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 89}
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id: 2466674
{'charpoly_factorization': [[[10496, -2688, -336, 8, 1], 1]], 'hecke_orbit_code': 99079191835707510, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '2166.2.a.w', 'level': 2166, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 253256000
{'hecke_orbit_code': 99079191835707510, 'n': 1, 'trace_an': 4}
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id: 253256001
{'hecke_orbit_code': 99079191835707510, 'n': 2, 'trace_an': -4}
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id: 253256002
{'hecke_orbit_code': 99079191835707510, 'n': 3, 'trace_an': 4}
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id: 253256003
{'hecke_orbit_code': 99079191835707510, 'n': 4, 'trace_an': 4}
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id: 253256004
{'hecke_orbit_code': 99079191835707510, 'n': 5, 'trace_an': 8}
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id: 253256005
{'hecke_orbit_code': 99079191835707510, 'n': 6, 'trace_an': -4}
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id: 253256006
{'hecke_orbit_code': 99079191835707510, 'n': 7, 'trace_an': 6}
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id: 253256007
{'hecke_orbit_code': 99079191835707510, 'n': 8, 'trace_an': -4}
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id: 253256008
{'hecke_orbit_code': 99079191835707510, 'n': 9, 'trace_an': 4}
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id: 253256009
{'hecke_orbit_code': 99079191835707510, 'n': 10, 'trace_an': -8}
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id: 253256010
{'hecke_orbit_code': 99079191835707510, 'n': 11, 'trace_an': 12}
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