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mf_newforms • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'cm_discs': [], 'conrey_index': 149, 'dim': 6, 'field_disc': -3182656, 'field_disc_factorization': [[-1, 1], [2, 6], [223, 2]], 'field_poly': [2, -10, 25, -2, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, 0, 100, 0, 20, 0, 1]], [7, [100, 0, 84, 0, 17, 0, 1]], [13, [1024, 0, 1600, 0, 80, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050463536219962, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_cc • Show schema
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-0.19455584849327712, -0.3957748295377486, 0.0374690982828156, -0.2337637523584149, 0.10012919021541979, 0.06605724137535877, -0.4616127271613366, -0.20474248910412188], 'char_orbit_index': 2, 'conrey_index': 149, 'dual_conrey_index': 149, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 1.469617434058037, 'embedding_root_real': 1.469617434058037, 'hecke_orbit': 15, 'hecke_orbit_code': 63050463536219962, 'label': '1850.2.b.o.149.4', 'level': 1850, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'conrey_index': 149, 'cusp_dim': 274, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 68753033018, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6], 'label': '1850.2.b', 'level': 1850, '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, 5, 37], 'level_radical': 370, 'mf_dim': 298, 'mf_new_dim': 54, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 570, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, -54, 0, 4, 0, 0, -78, 0, 8, 0, 0, 0, 0, 54, 0, 0, 20, 0, 8, 0, 0, -4, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 78, 0, 0, 24, 0, 8, 0, 0, -8, 0, 24, 0, 0, -30, 0, -28, 0, 0, 20, 0, 0, 0, 0, 8, 0, 20, 0, 0, -54, 0, -28, 0, 0, 72, 0, -8, 0, 0, 10, 0, -20, 0, 0, 16, 0, 134, 0, 0, -8, 0, -28, 0, 0, 32, 0, -8, 0, 0, 24, 0, 4, 0, 0, -8, 0, 8, 0, 0, 0, 0, 12, 0, 0, -124, 0, 0, 0, 0, 44, 0, -4, 0, 0, 88, 0, 6, 0, 0, 8, 0, -24, 0, 0, 104, 0, -56, 0, 0, 68, 0, 0, 0, 0, 104, 0, -16, 0, 0, -78, 0, -16, 0, 0, 0, 0, -104, 0, 0, 104, 0, -24, 0, 0, 104, 0, -16, 0, 0, -8, 0, -20, 0, 0, -86, 0, -56, 0, 0, -36, 0, 8, 0, 0, -124, 0, 48, 0, 0, -24, 0, 8, 0, 0, -136, 0, 48, 0, 0, -20, 0, 30, 0, 0, 48, 0, 92, 0, 0, 28, 0, 40, 0, 0, 68, 0, 32, 0, 0, -36, 0, -20, 0, 0, 44, 0, -24, 0, 0, 0, 0, 0, 0, 0, 32, 0, 120, 0, 0, -24, 0, -8, 0, 0, 72, 0, -64, 0, 0, -20, 0, 36, 0, 0, -92, 0, -132, 0, 0, -16, 0, 54, 0, 0, 8, 0, -124, 0, 0, 28, 0, 56, 0, 0, 0, 0, -208, 0, 0, -56, 0, -72, 0, 0, 16, 0, 68, 0, 0, 8, 0, -32, 0, 0, -14, 0, 64, 0, 0, -92, 0, -10, 0, 0, -188, 0, -168, 0, 0, 20, 0, 20, 0, 0, -136, 0, 40, 0, 0, 12, 0, -16, 0, 0, 136, 0, 72, 0, 0, -134, 0, 160, 0, 0, 32, 0, 92, 0, 0, 24, 0, 8, 0, 0, -60, 0, -80, 0, 0, 28, 0, -44, 0, 0, 200, 0, -24, 0, 0, 80, 0, -32, 0, 0, -24, 0, -154, 0, 0, 8, 0, 0, 0, 0, -44, 0, 16, 0, 0, -164, 0, -24, 0, 0, -208, 0, 56, 0, 0, -4, 0, -24, 0, 0, 156, 0, -216, 0, 0, -52, 0, 8, 0, 0, -144, 0, -8, 0, 0, -8, 0, 112, 0, 0, 88, 0, -60, 0, 0, 112, 0, 0, 0, 0, 40, 0, 180, 0, 0, -12, 0, 16, 0, 0, -96, 0, 136, 0, 0, -24, 0, 124, 0, 0, 128, 0, -202, 0, 0, 0, 0, -16, 0, 0, 16, 0, -252, 0, 0, -84, 0, -44, 0, 0, 228, 0, 92, 0, 0, 4, 0, -20, 0, 0, -144, 0, 160, 0, 0, 156, 0, -88, 0, 0, -8, 0, 0, 0, 0, -6, 0, 24, 0, 0, -44, 0, 36, 0, 0, 104, 0, -8, 0, 0, 200, 0, -152, 0, 0, 24, 0, -88, 0, 0, 112, 0, -48, 0, 0, -20, 0, -104, 0, 0, -168, 0, 68, 0, 0, 56, 0, -96, 0, 0, 26, 0, 184, 0, 0, -92, 0, -68, 0, 0, 96, 0, -76, 0, 0, 0, 0, -112, 0, 0, -44, 0, -240, 0, 0, -120, 0, -104, 0, 0, -72, 0, 140, 0, 0, 16, 0, -192, 0, 0, 32, 0, -236, 0, 0, -120, 0, 78, 0, 0, -76, 0, -96, 0, 0, 16, 0, -68, 0, 0, 64, 0, -112, 0, 0, 308, 0, 0, 0, 0, 56, 0, 168, 0, 0, 104, 0, 232, 0, 0, 400, 0, -24, 0, 0, -20, 0, -104, 0, 0, -164, 0, -40, 0, 0, 24, 0, 156, 0, 0, 36, 0, 72, 0, 0, 68, 0, -104, 0, 0, 72, 0, -228, 0, 0, 16, 0, -140, 0, 0, 232, 0, 272, 0, 0, -120, 0, 8, 0, 0, 48, 0, -60, 0, 0, 20, 0, -30, 0, 0, -144, 0, -104, 0, 0, 272, 0, 86, 0, 0, -248, 0, -288, 0, 0, 56, 0, -120, 0, 0, -80, 0, 164, 0, 0, 0, 0, 36, 0, 0, -228, 0, 196, 0, 0, -8, 0, 76, 0, 0, -324, 0, -112, 0, 0, 240, 0, 124, 0, 0, 296, 0, 152, 0, 0, -48, 0, -168, 0, 0, -618, 0, 184, 0, 0, 152, 0, 24, 0, 0, -148, 0, 208, 0, 0, -8, 0, -100, 0, 0, -464, 0, 64, 0, 0, -232, 0, 136, 0, 0, -160, 0, -120, 0, 0, -48, 0, 140, 0, 0, -176, 0, 384, 0, 0, 108, 0, 20, 0, 0, 356, 0, 224, 0, 0, -30, 0, -64, 0, 0, 592, 0, 32, 0, 0, 44, 0, -48, 0, 0, -584, 0, 52, 0, 0, -92, 0, 136, 0, 0, 284, 0, 52, 0, 0, 12, 0, -28, 0, 0, 616, 0, -96, 0, 0, -40, 0, -48, 0, 0, -236, 0, -112, 0, 0, 332, 0, -68, 0, 0, 136, 0, 510, 0, 0, -32, 0, -232, 0, 0, -388, 0, 12, 0, 0, 40, 0, 36, 0, 0, -164, 0, 128, 0, 0, 20, 0, 152, 0, 0, 536, 0, 120, 0, 0, -32, 0, -44, 0, 0, 120, 0, 4, 0, 0, 24, 0, -100, 0, 0, -160, 0, -204, 0, 0, 88, 0, 0, 0, 0, -112, 0, 112, 0, 0, 0, 0, 64, 0, 0, 328, 0, -120, 0, 0, -296, 0, -32, 0, 0, 136, 0, -56, 0, 0, -120, 0, -124, 0, 0, -136, 0, 548, 0, 0, -136, 0, 24, 0, 0, -224, 0, 60, 0, 0, 8, 0, 280, 0, 0, -168, 0, 48, 0, 0, -292, 0, -72, 0, 0, -96, 0, -86, 0, 0, 64, 0, 120, 0, 0, 108, 0, 360, 0, 0, -8, 0, 20, 0, 0, -36, 0, 356, 0, 0, -36, 0, 168, 0, 0, -276, 0, 152, 0, 0, -128, 0, 92, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47845547
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050463536219962, 'source_is_minimal': False, 'source_label': '1850.2.b.o.149.4', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050463536219962, 'target_is_minimal': False, 'target_label': '1850.2.b.o.149.4', 'target_level': 1850, 'twist_class_label': '370.2.a.g.1.3', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47845548
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050463536219962, 'source_is_minimal': False, 'source_label': '1850.2.b.o.149.4', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717818682, 'target_is_minimal': False, 'target_label': '1850.2.a.z.1.1', 'target_level': 1850, 'twist_class_label': '370.2.a.g.1.3', 'twist_class_level': 370, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47845549
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050463536219962, 'source_is_minimal': False, 'source_label': '1850.2.b.o.149.4', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797777778, 'target_is_minimal': True, 'target_label': '370.2.a.g.1.3', 'target_level': 370, 'twist_class_label': '370.2.a.g.1.3', 'twist_class_level': 370, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47845550
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050463536219962, 'source_is_minimal': False, 'source_label': '1850.2.b.o.149.4', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050463536219962, 'target_is_minimal': False, 'target_label': '1850.2.b.o.149.3', 'target_level': 1850, 'twist_class_label': '370.2.a.g.1.3', 'twist_class_level': 370, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47845551
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050463536219962, 'source_is_minimal': False, 'source_label': '1850.2.b.o.149.4', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109413634, 'target_is_minimal': False, 'target_label': '3330.2.a.bg.1.2', 'target_level': 3330, 'twist_class_label': '370.2.a.g.1.3', 'twist_class_level': 370, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47845552
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050463536219962, 'source_is_minimal': False, 'source_label': '1850.2.b.o.149.4', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580967312, 'target_is_minimal': False, 'target_label': '2960.2.a.u.1.1', 'target_level': 2960, 'twist_class_label': '370.2.a.g.1.3', 'twist_class_level': 370, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2253275
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 63050463536219962, 'p': 2}
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id: 2253276
{'charpoly_factorization': [[[16, 0, 100, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 3}
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id: 2253277
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 63050463536219962, 'p': 5}
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id: 2253278
{'charpoly_factorization': [[[100, 0, 84, 0, 17, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 7}
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id: 2253279
{'charpoly_factorization': [[[8, 28, -11, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 11}
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id: 2253280
{'charpoly_factorization': [[[1024, 0, 1600, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 13}
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id: 2253281
{'charpoly_factorization': [[[64, 0, 128, 0, 25, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 17}
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id: 2253282
{'charpoly_factorization': [[[-4, -10, 0, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 19}
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id: 2253283
{'charpoly_factorization': [[[4096, 0, 2048, 0, 100, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 23}
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id: 2253284
{'charpoly_factorization': [[[76, -16, -5, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 29}
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id: 2253285
{'charpoly_factorization': [[[270, -72, -3, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 31}
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id: 2253286
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 63050463536219962, 'p': 37}
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id: 2253287
{'charpoly_factorization': [[[-364, -40, 9, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 41}
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id: 2253288
{'charpoly_factorization': [[[6400, 0, 2016, 0, 89, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 43}
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id: 2253289
{'charpoly_factorization': [[[3136, 0, 1124, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 47}
-
id: 2253290
{'charpoly_factorization': [[[99856, 0, 19672, 0, 281, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 53}
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id: 2253291
{'charpoly_factorization': [[[-80, 34, 14, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 59}
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id: 2253292
{'charpoly_factorization': [[[4, -8, -7, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 61}
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id: 2253293
{'charpoly_factorization': [[[3136, 0, 1124, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 67}
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id: 2253294
{'charpoly_factorization': [[[640, 64, -22, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 71}
-
id: 2253295
{'charpoly_factorization': [[[43264, 0, 7952, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 73}
-
id: 2253296
{'charpoly_factorization': [[[-224, 170, -26, 1], 2]], 'hecke_orbit_code': 63050463536219962, 'p': 79}
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id: 2253297
{'charpoly_factorization': [[[440896, 0, 22308, 0, 320, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 83}
-
id: 2253298
{'charpoly_factorization': [[[6, 1], 6]], 'hecke_orbit_code': 63050463536219962, 'p': 89}
-
id: 2253299
{'charpoly_factorization': [[[99856, 0, 19672, 0, 281, 0, 1], 1]], 'hecke_orbit_code': 63050463536219962, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 15, 'label': '1850.2.b.o', 'level': 1850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60238591
{'hecke_orbit_code': 63050463536219962, 'n': 1, 'trace_an': 6}
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id: 60238592
{'hecke_orbit_code': 63050463536219962, 'n': 2, 'trace_an': 0}
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id: 60238593
{'hecke_orbit_code': 63050463536219962, 'n': 3, 'trace_an': 0}
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id: 60238594
{'hecke_orbit_code': 63050463536219962, 'n': 4, 'trace_an': -6}
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