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mf_newforms • Show schema
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{'Nk2': 13328, 'analytic_conductor': 26.606153953490622, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -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': [3332, 1, [1667, 885, 785], [1, 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, [-1, 1]], [5, [0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543039748, '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': '3332.2.a.e', 'level': 3332, '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, 17], 'level_radical': 238, 'minimal_twist': '476.2.i.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{9}-5q^{11}+5q^{13}+q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/3332/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3332.2.a', 'trace_display': [0, 1, 0, 0], 'trace_hash': 352261150612061889, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 15, 11, 11, 17], 'Nk2': 13328, 'analytic_conductor': 26.606153953490622, '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': [3332, 1, [1667, 885, 785], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 481, 'dim': 54, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33557764, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 8, 8], 'label': '3332.2.a', 'level': 3332, '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, 17], 'level_radical': 238, 'mf_dim': 528, 'mf_new_dim': 54, 'num_forms': 21, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 54, 'sturm_bound': 1008, 'trace_bound': 9, 'trace_display': [0, 2, 4, 0], 'traces': [54, 0, 2, 0, 4, 0, 0, 0, 58, 0, 2, 0, 0, 0, 12, 0, 2, 0, 0, 0, 0, 0, 2, 0, 58, 0, 8, 0, 0, 0, 6, 0, -4, 0, 0, 0, 20, 0, 24, 0, 8, 0, 32, 0, 8, 0, -16, 0, 0, 0, -2, 0, -12, 0, 16, 0, 40, 0, 4, 0, 4, 0, 0, 0, 4, 0, 16, 0, 4, 0, 14, 0, -8, 0, -38, 0, 0, 0, 42, 0, 62, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -4, 0, -16, 0, 24, 0, -6, 0, 0, 0, -36, 0, 0, 0, 2, 0, 60, 0, 0, 0, -44, 0, 12, 0, -36, 0, 0, 0, 70, 0, -64, 0, 0, 0, 36, 0, 4, 0, 46, 0, 0, 0, 116, 0, 112, 0, 22, 0, 128, 0, 24, 0, 36, 0, 0, 0, 4, 0, -20, 0, 10, 0, 88, 0, -4, 0, 12, 0, 0, 0, -94, 0, -4, 0, -30, 0, 66, 0, 40, 0, 20, 0, 0, 0, 52, 0, -60, 0, -16, 0, -68, 0, 16, 0, 10, 0, 0, 0, 64, 0, -4, 0, 28, 0, 8, 0, -34, 0, -32, 0, 0, 0, 12, 0, 54, 0, -8, 0, -82, 0, 4, 0, -72, 0, 0, 0, 48, 0, -12, 0, -16, 0, 174, 0, 2, 0, -4, 0, 0, 0, -68, 0, -24, 0, 20, 0, -32, 0, 0, 0, 66, 0, 0, 0, -32, 0, -144, 0, -28, 0, -32, 0, -12, 0, -8, 0, 0, 0, -252, 0, 40, 0, 12, 0, 124, 0, 24, 0, 12, 0, 0, 0, 10, 0, -36, 0, -2, 0, -112, 0, 2, 0, -68, 0, 0, 0, 54, 0, 44, 0, -8, 0, -164, 0, -8, 0, 16, 0, 0, 0, -116, 0, 40, 0, 20, 0, -108, 0, -38, 0, -104, 0, 0, 0, 132, 0, -132, 0, -64, 0, 4, 0, -8, 0, 84, 0, 0, 0, 136, 0, 128, 0, 52, 0, 48, 0, -32, 0, -108, 0, 0, 0, -88, 0, 74, 0, -16, 0, 132, 0, 60, 0, -76, 0, 0, 0, 88, 0, 58, 0, 6, 0, 16, 0, -18, 0, 192, 0, 0, 0, 96, 0, 44, 0, 8, 0, 22, 0, 88, 0, 36, 0, 0, 0, 204, 0, -88, 0, 6, 0, -4, 0, -72, 0, 76, 0, 0, 0, -32, 0, -112, 0, 8, 0, 80, 0, 20, 0, 28, 0, 0, 0, -140, 0, -44, 0, 14, 0, 96, 0, 20, 0, 22, 0, 0, 0, 44, 0, -30, 0, 12, 0, 44, 0, -72, 0, -22, 0, 0, 0, -4, 0, -48, 0, 0, 0, -4, 0, -24, 0, -60, 0, 0, 0, 36, 0, -32, 0, -20, 0, -52, 0, -44, 0, -36, 0, 0, 0, -92, 0, 108, 0, -36, 0, -20, 0, 22, 0, 112, 0, 0, 0, -36, 0, 254, 0, -48, 0, -168, 0, -8, 0, -52, 0, 0, 0, -166, 0, -124, 0, -2, 0, 36, 0, -26, 0, -40, 0, 0, 0, 12, 0, -200, 0, -8, 0, -124, 0, 64, 0, -100, 0, 0, 0, -2, 0, 110, 0, 132, 0, 4, 0, 0, 0, 76, 0, 0, 0, 88, 0, -112, 0, -88, 0, -62, 0, -60, 0, -160, 0, 0, 0, -68, 0, 100, 0, -16, 0, 8, 0, 44, 0, 204, 0, 0, 0, -168, 0, -66, 0, 48, 0, -82, 0, 16, 0, -220, 0, 0, 0, -260, 0, 212, 0, 60, 0, -124, 0, 28, 0, -72, 0, 0, 0, 4, 0, -144, 0, 20, 0, -180, 0, -20, 0, 254, 0, 0, 0, -96, 0, 100, 0, -36, 0, 72, 0, 30, 0, 172, 0, 0, 0, 182, 0, 292, 0, 20, 0, -4, 0, -32, 0, 108, 0, 0, 0, -182, 0, -68, 0, -118, 0, -168, 0, 80, 0, 64, 0, 0, 0, 12, 0, -148, 0, -88, 0, -300, 0, 72, 0, 40, 0, 0, 0, -28, 0, -96, 0, -32, 0, 144, 0, -108, 0, -104, 0, 0, 0, 248, 0, -222, 0, 8, 0, -212, 0, -116, 0, -118, 0, 0, 0, -328, 0, 56, 0, -8, 0, 72, 0, -96, 0, -48, 0, 0, 0, -100, 0, -138, 0, 64, 0, -256, 0, -44, 0, 98, 0, 0, 0, -112, 0, 156, 0, 12, 0, -134, 0, -4, 0, -60, 0, 0, 0, 16, 0, 108, 0, -64, 0, 170, 0, 64, 0, 4, 0, 0, 0, 170, 0, -72, 0, -64, 0, 36, 0, 20, 0, -140, 0, 0, 0, -28, 0, -392, 0, 12, 0, 204, 0, -20, 0, 34, 0, 0, 0, -76, 0, 136, 0, -24, 0, 96, 0, -46, 0, -208, 0, 0, 0, 292, 0, 84, 0, -80, 0, 24, 0, -8, 0, 176, 0, 0, 0, -220, 0, -88, 0, 46, 0, -104, 0, 24, 0, -220, 0, 0, 0, -208, 0, -138, 0, 0, 0, -118, 0, 32, 0, -152, 0, 0, 0, 120, 0, -296, 0, -62, 0, 38, 0, -68, 0, 316, 0, 0, 0, -196, 0, 68, 0, 112, 0, -264, 0, 72, 0, 148, 0, 0, 0, -184, 0, 188, 0, 2, 0, -276, 0, -52, 0, 172, 0, 0, 0, -36, 0, -352, 0, 104, 0, 84, 0, 80, 0, 78, 0, 0, 0, 214, 0, -108, 0, 40, 0, -80, 0, -48, 0, 36, 0, 0, 0, 8, 0, -54, 0, -104, 0, -390, 0, -120, 0, -52, 0, 0, 0, 148, 0, -76, 0, 72, 0, 20, 0, 40, 0, -136, 0, 0, 0, -148, 0, -44, 0, 44, 0, 160, 0, 52, 0, -16, 0, 0, 0, -54, 0, 252, 0, -152, 0, -8, 0, -100, 0, 192, 0, 0, 0, 246, 0, 190, 0, -52, 0, 36, 0, -12, 0, -12, 0, 0, 0, -196, 0, -148, 0, 88, 0, 36, 0, -78, 0, -92, 0, 0, 0, -200, 0, 94, 0, -104, 0, 144, 0, -20, 0, -260, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43920545
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543039748, 'source_is_minimal': False, 'source_label': '3332.2.a.e.1.1', 'source_level': 3332, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543039748, 'target_is_minimal': False, 'target_label': '3332.2.a.e.1.1', 'target_level': 3332, 'twist_class_label': '476.2.i.b.137.1', 'twist_class_level': 476, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43920546
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543039748, 'source_is_minimal': False, 'source_label': '3332.2.a.e.1.1', 'source_level': 3332, 'target_conrey_index': 205, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739292, 'target_is_minimal': True, 'target_label': '476.2.i.b.205.1', 'target_level': 476, 'twist_class_label': '476.2.i.b.137.1', 'twist_class_level': 476, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43920547
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543039748, 'source_is_minimal': False, 'source_label': '3332.2.a.e.1.1', 'source_level': 3332, 'target_conrey_index': 137, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739292, 'target_is_minimal': True, 'target_label': '476.2.i.b.137.1', 'target_level': 476, 'twist_class_label': '476.2.i.b.137.1', 'twist_class_level': 476, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43920548
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543039748, 'source_is_minimal': False, 'source_label': '3332.2.a.e.1.1', 'source_level': 3332, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660928260, 'target_is_minimal': False, 'target_label': '3332.2.a.b.1.1', 'target_level': 3332, 'twist_class_label': '476.2.i.b.137.1', 'twist_class_level': 476, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3128225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 2}
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id: 3128226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 3}
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id: 3128227
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 5}
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id: 3128228
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 7}
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id: 3128229
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 11}
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id: 3128230
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 13}
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id: 3128231
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 17}
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id: 3128232
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 19}
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id: 3128233
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 23}
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id: 3128234
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 29}
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id: 3128235
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 31}
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id: 3128236
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 37}
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id: 3128237
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 41}
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id: 3128238
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 43}
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id: 3128239
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 47}
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id: 3128240
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 53}
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id: 3128241
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 59}
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id: 3128242
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 61}
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id: 3128243
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 67}
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id: 3128244
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 71}
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id: 3128245
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 73}
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id: 3128246
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 79}
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id: 3128247
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 83}
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id: 3128248
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 89}
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id: 3128249
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 18014398543039748, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '3332.2.a.e', 'level': 3332, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 38465713
{'hecke_orbit_code': 18014398543039748, 'n': 1, 'trace_an': 1}
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id: 38465714
{'hecke_orbit_code': 18014398543039748, 'n': 2, 'trace_an': 0}
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id: 38465715
{'hecke_orbit_code': 18014398543039748, 'n': 3, 'trace_an': 1}
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id: 38465716
{'hecke_orbit_code': 18014398543039748, 'n': 4, 'trace_an': 0}
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id: 38465717
{'hecke_orbit_code': 18014398543039748, 'n': 5, 'trace_an': 0}
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id: 38465718
{'hecke_orbit_code': 18014398543039748, 'n': 6, 'trace_an': 0}
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id: 38465719
{'hecke_orbit_code': 18014398543039748, 'n': 7, 'trace_an': 0}
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id: 38465970
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