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mf_newforms • Show schema
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{'Nk2': 2704, 'analytic_conductor': 5.397887176638554, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [676, 4, [339, 509], [2, 1]], 'cm_discs': [-4], 'conrey_index': 99, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [5, [9, -18, 18, -6, 1]], [7, [0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014742140420772, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 13, 4, -1, 4, 0], [1, 1, 52, 6, 1, 4, 0]], 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mf_hecke_cc • Show schema
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'dual_conrey_index': 239, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.5, 'embedding_root_real': 0.8660254037844386, 'hecke_orbit': 5, 'hecke_orbit_code': 18014742140420772, 'label': '676.2.f.e.99.1', 'level': 676, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2704, 'analytic_conductor': 5.397887176638554, 'char_conductor': 52, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [676, 4, [339, 509], [2, 1]], 'conrey_index': 99, 'cusp_dim': 154, 'dim': 134, 'eis_dim': 56, 'eis_new_dim': 40, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 343630938788, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 8, 8, 16, 16, 72], 'label': '676.2.f', 'level': 676, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 210, 'mf_new_dim': 174, 'num_forms': 10, 'prim_orbit_index': 6, 'relative_dim': 67, 'sturm_bound': 182, 'trace_bound': 5, 'trace_display': [2, 0, 6, 0], 'traces': [134, 2, 0, 0, 6, -8, 0, 8, -86, 0, 0, 0, 0, -4, 0, 20, 0, -6, 0, -4, -16, -32, 0, -32, 0, 0, 0, -12, 8, 0, 0, 12, -8, -8, 0, 0, 22, 0, 0, -44, 2, -24, 0, 28, 2, 20, 0, 136, 0, 42, 0, 0, -60, 32, 0, 0, -48, -20, 0, 12, 4, 0, 0, 0, 0, -4, 0, 56, 0, -8, 0, -4, 54, -76, 0, -32, 0, 0, 0, -40, -42, 0, 0, 48, -4, -32, 0, 0, -22, 0, 0, -56, -32, -52, 0, 24, -2, 2, 0, 92, 0, 64, 0, 0, 16, 56, 0, 0, 46, -4, 0, -4, -24, 0, 0, 0, 0, 4, 0, 44, 0, -36, 0, 24, -48, -20, 0, -68, 0, 0, 0, -44, -24, 0, 0, 12, -10, -4, 0, 0, 16, 0, 0, -64, 32, 32, 0, -12, -50, -32, 0, 124, 0, 28, 0, 0, -232, 36, 0, 0, -40, -38, 0, 44, 160, 0, 0, 0, 0, 12, 0, -24, 0, -4, 0, -36, 16, -20, 0, -60, 0, 0, 0, -12, 108, 0, 0, 12, 64, 24, 0, 0, -18, 0, 0, -76, 34, -196, 0, 36, 40, 16, 0, 40, 0, 12, 0, 0, 120, -12, 0, 0, 112, -64, 0, -8, 40, 0, 0, 0, 0, -32, 0, -56, 0, 16, 0, -8, -78, -268, 0, 12, 0, 0, 0, -56, -176, 0, 0, -4, -86, -66, 0, 0, 26, 0, 0, 0, -72, -60, 0, 16, 48, 44, 0, -28, 0, 20, 0, 0, -104, -48, 0, 0, -108, 32, 0, 4, 24, 0, 0, 0, 0, 0, 0, 208, 0, -80, 0, -32, 118, 60, 0, 52, 0, 0, 0, 88, 254, 0, 0, -36, 42, 24, 0, 0, -104, 0, 0, 276, 64, 400, 0, -80, 76, 4, 0, -364, 0, 16, 0, 0, 56, 24, 0, 0, 86, 28, 0, 56, 176, 0, 0, 0, 0, 256, 0, -48, 0, 28, 0, 20, -46, 64, 0, 88, 0, 0, 0, 56, -120, 0, 0, -8, 40, 84, 0, 0, 78, 0, 0, 408, -26, -72, 0, 44, -128, -56, 0, 12, 0, -72, 0, 0, -292, -24, 0, 0, -90, 32, 0, -96, -88, 0, 0, 0, 0, 252, 0, -212, 0, 60, 0, 16, -8, -280, 0, 8, 0, 0, 0, -28, 96, 0, 0, 8, 130, -108, 0, 0, -46, 0, 0, -68, 70, -372, 0, -120, 38, -12, 0, -116, 0, -72, 0, 0, 336, -120, 0, 0, 154, 80, 0, -52, -268, 0, 0, 0, 0, -20, 0, -236, 0, -24, 0, -4, -16, 360, 0, 52, 0, 0, 0, 52, 100, 0, 0, 44, -158, 78, 0, 0, 80, 0, 0, -20, -66, 284, 0, -4, -62, -28, 0, -388, 0, -100, 0, 0, -120, 8, 0, 0, -104, 20, 0, 28, 236, 0, 0, 0, 0, -40, 0, 160, 0, 80, 0, 40, 104, 392, 0, 72, 0, 0, 0, -8, 72, 0, 0, -168, -112, 104, 0, 0, -136, 0, 0, 80, -58, 352, 0, 44, -80, -28, 0, -52, 0, -56, 0, 0, -40, -32, 0, 0, 64, 8, 0, -92, -250, 0, 0, 0, 0, -204, 0, 256, 0, 104, 0, 20, -90, -80, 0, 76, 0, 0, 0, 104, -468, 0, 0, -36, 72, -80, 0, 0, 6, 0, 0, -28, 72, -60, 0, -48, -32, 56, 0, 88, 0, -32, 0, 0, -576, -48, 0, 0, -110, 22, 0, -60, 264, 0, 0, 0, 0, -112, 0, -196, 0, 8, 0, 72, 106, 252, 0, 156, 0, 0, 0, 128, 104, 0, 0, -76, 130, 104, 0, 0, -8, 0, 0, -108, -30, 220, 0, -20, 198, -84, 0, -52, 0, -152, 0, 0, 758, 52, 0, 0, 68, 56, 0, 76, 48, 0, 0, 0, 0, -280, 0, -624, 0, 40, 0, -52, -64, 612, 0, 32, 0, 0, 0, 44, -104, 0, 0, -104, -126, 12, 0, 0, 130, 0, 0, -628, -48, -352, 0, -16, 144, -20, 0, -100, 0, -88, 0, 0, 348, -192, 0, 0, -208, 56, 0, -48, -396, 0, 0, 0, 0, -772, 0, -120, 0, 8, 0, 52, -92, 68, 0, -48, 0, 0, 0, -12, -32, 0, 0, 88, -98, -56, 0, 0, 80, 0, 0, -352, 32, -8, 0, -32, -24, 138, 0, 572, 0, -136, 0, 0, 346, -116, 0, 0, 58, 52, 0, -60, -24, 0, 0, 0, 0, -340, 0, 736, 0, -104, 0, -20, -128, 64, 0, 4, 0, 0, 0, -56, 60, 0, 0, 40, 46, 100, 0, 0, 116, 0, 0, -24, 42, 640, 0, -96, -250, 88, 0, 36, 0, 60, 0, 0, -280, 92, 0, 0, 72, -4, 0, 212, 32, 0, 0, 0, 0, -32, 0, 132, 0, 104, 0, -88, 110, 460, 0, 52, 0, 0, 0, 120, 88, 0, 0, 28, 176, 108, 0, 0, 80, 0, 0, 8, 102, -220, 0, 156, 32, -56, 0, -460, 0, 36, 0, 0, 36, -52, 0, 0, 128, -32, 0, -28, -406, 0, 0, 0, 0, 104, 0, -604, 0, -36, 0, 64, 14, 32, 0, 16, 0, 0, 0, 20, 304, 0, 0, -96, -128, -68, 0, 0, -32, 0, 0, -216, -14, -672, 0, -80, 86, -120, 0, 312, 0, -26, 0, 0, 80, 96, 0, 0, -88, 20, 0, -108, 24, 0, 0, 0, 0, -48, 0, -96, 0, -24, 0, -16, 100, -796, 0, -48, 0, 0, 0, -8, -104, 0, 0, 132, -96, -120, 0, 0, -224, 0, 0, 244, -258, 32, 0, -12, -70, 24, 0, 72, 0, 72, 0, 0, -172, -4, 0, 0, -182, -96, 0, 72, 192, 0, 0, 0, 0, 608, 0, 668, 0, 108, 0, -92, 64, 60, 0, -44, 0, 0, 0, 28, -396, 0, 0, -64, 112, -48, 0, 0, -160, 0, 0, 820, -50, 1068, 0, 76, -38, -8, 0, -884, 0, -12, 0, 0, 64, -40, 0, 0, 136, -52, 0, -148, -52, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44320467
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420772, 'target_is_minimal': False, 'target_label': '676.2.f.e.99.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44320468
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420772, 'target_is_minimal': False, 'target_label': '676.2.f.e.99.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44320469
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798580, 'target_is_minimal': True, 'target_label': '52.2.l.a.19.1', 'target_level': 52, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44320470
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540196, 'target_is_minimal': False, 'target_label': '676.2.l.c.319.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44320471
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 427, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554829910692, 'target_is_minimal': False, 'target_label': '676.2.l.d.427.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44320472
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420772, 'target_is_minimal': False, 'target_label': '676.2.f.e.239.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44320473
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 587, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540196, 'target_is_minimal': False, 'target_label': '676.2.l.c.587.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44320474
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 587, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457281188, 'target_is_minimal': False, 'target_label': '676.2.l.e.587.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44320475
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050276, 'target_is_minimal': False, 'target_label': '676.2.f.d.239.2', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 44320476
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 11, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798580, 'target_is_minimal': True, 'target_label': '52.2.l.a.11.1', 'target_level': 52, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44320477
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457281188, 'target_is_minimal': False, 'target_label': '676.2.l.e.319.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 44320478
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554829910692, 'target_is_minimal': False, 'target_label': '676.2.l.d.19.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44320479
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050276, 'target_is_minimal': False, 'target_label': '676.2.f.d.99.2', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 44320480
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514441047933396, 'target_is_minimal': False, 'target_label': '468.2.cb.d.19.1', 'target_level': 468, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44320481
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514441047933396, 'target_is_minimal': False, 'target_label': '468.2.cb.d.271.1', 'target_level': 468, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44320482
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540196, 'target_is_minimal': False, 'target_label': '676.2.l.c.319.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44320483
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 587, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457281188, 'target_is_minimal': False, 'target_label': '676.2.l.e.587.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44320484
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554829910692, 'target_is_minimal': False, 'target_label': '676.2.l.d.19.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44320485
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798580, 'target_is_minimal': True, 'target_label': '52.2.l.a.19.1', 'target_level': 52, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 44320486
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 587, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540196, 'target_is_minimal': False, 'target_label': '676.2.l.c.587.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44320487
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015154457281188, 'target_is_minimal': False, 'target_label': '676.2.l.e.319.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 44320488
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420772, 'target_is_minimal': False, 'target_label': '676.2.f.e.239.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 44320489
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 11, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798580, 'target_is_minimal': True, 'target_label': '52.2.l.a.11.1', 'target_level': 52, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44320490
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 427, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554829910692, 'target_is_minimal': False, 'target_label': '676.2.l.d.427.1', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 44320491
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050276, 'target_is_minimal': False, 'target_label': '676.2.f.d.239.2', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 44320492
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050276, 'target_is_minimal': False, 'target_label': '676.2.f.d.99.2', 'target_level': 676, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 44320493
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 63, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513960011596608, 'target_is_minimal': False, 'target_label': '832.2.bu.d.63.1', 'target_level': 832, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '104.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44320494
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 63, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513960011596608, 'target_is_minimal': False, 'target_label': '832.2.bu.d.63.1', 'target_level': 832, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '104.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 44320495
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 383, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513960011596608, 'target_is_minimal': False, 'target_label': '832.2.bu.d.383.1', 'target_level': 832, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '104.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 44320496
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 383, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513960011596608, 'target_is_minimal': False, 'target_label': '832.2.bu.d.383.1', 'target_level': 832, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '104.93', 'twisting_conrey_index': 93, 'weight': 2}
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id: 44320497
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514441047933396, 'target_is_minimal': False, 'target_label': '468.2.cb.d.271.1', 'target_level': 468, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '156.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44320498
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014742140420772, 'source_is_minimal': False, 'source_label': '676.2.f.e.99.1', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514441047933396, 'target_is_minimal': False, 'target_label': '468.2.cb.d.19.1', 'target_level': 468, 'twist_class_label': '52.2.l.a.11.1', 'twist_class_level': 52, 'twisting_char_label': '156.119', 'twisting_conrey_index': 119, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1198525
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 18014742140420772, 'p': 2}
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id: 1198526
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 3}
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id: 1198527
{'charpoly_factorization': [[[9, -18, 18, -6, 1], 1]], 'hecke_orbit_code': 18014742140420772, 'p': 5}
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id: 1198528
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 7}
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id: 1198529
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 11}
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id: 1198530
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 13}
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id: 1198531
{'charpoly_factorization': [[[2209, 0, 98, 0, 1], 1]], 'hecke_orbit_code': 18014742140420772, 'p': 17}
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id: 1198532
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 19}
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id: 1198533
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 23}
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id: 1198534
{'charpoly_factorization': [[[-71, 4, 1], 2]], 'hecke_orbit_code': 18014742140420772, 'p': 29}
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id: 1198535
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 31}
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id: 1198536
{'charpoly_factorization': [[[3721, -610, 50, 10, 1], 1]], 'hecke_orbit_code': 18014742140420772, 'p': 37}
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id: 1198537
{'charpoly_factorization': [[[14641, 242, 2, -2, 1], 1]], 'hecke_orbit_code': 18014742140420772, 'p': 41}
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id: 1198538
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 43}
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id: 1198539
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 47}
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id: 1198540
{'charpoly_factorization': [[[37, -14, 1], 2]], 'hecke_orbit_code': 18014742140420772, 'p': 53}
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id: 1198541
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 59}
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id: 1198542
{'charpoly_factorization': [[[-83, 10, 1], 2]], 'hecke_orbit_code': 18014742140420772, 'p': 61}
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id: 1198543
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 67}
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id: 1198544
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 71}
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id: 1198545
{'charpoly_factorization': [[[529, -506, 242, -22, 1], 1]], 'hecke_orbit_code': 18014742140420772, 'p': 73}
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id: 1198546
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 79}
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id: 1198547
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014742140420772, 'p': 83}
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id: 1198548
{'charpoly_factorization': [[[18, -6, 1], 2]], 'hecke_orbit_code': 18014742140420772, 'p': 89}
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id: 1198549
{'charpoly_factorization': [[[50, -10, 1], 2]], 'hecke_orbit_code': 18014742140420772, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 5, 'label': '676.2.f.e', 'level': 676, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 40957993
{'hecke_orbit_code': 18014742140420772, 'n': 1, 'trace_an': 4}
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id: 40957994
{'hecke_orbit_code': 18014742140420772, 'n': 2, 'trace_an': 4}
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id: 40957995
{'hecke_orbit_code': 18014742140420772, 'n': 3, 'trace_an': 0}
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id: 40957996
{'hecke_orbit_code': 18014742140420772, 'n': 4, 'trace_an': 0}
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id: 40957997
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