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mf_newforms • Show schema
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{'Nk2': 1664, 'analytic_conductor': 3.321776724085264, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [416, 2, [287, 261, 353], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 129, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [3, 1]], [5, [9, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343630938528, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1664, 'analytic_conductor': 3.321776724085264, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [416, 2, [287, 261, 353], [2, 2, 1]], 'conrey_index': 129, 'cusp_dim': 48, 'dim': 14, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 343630938528, 'hecke_orbit_dims': [2, 2, 2, 4, 4], 'label': '416.2.f', 'level': 416, '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, 13], 'level_radical': 26, 'mf_dim': 64, 'mf_new_dim': 14, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 14, 'sturm_bound': 112, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, -14, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 22, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -28, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -24, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 76, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, -144, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 202, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -120, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -98, 0, 0, 0, -80, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, -300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 240, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -178, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -298, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 336, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, -236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 156, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, -96, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 268, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, -224, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 64, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -134, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 388, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 3209317
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938528, 'target_is_minimal': True, 'target_label': '416.2.f.a.129.1', 'target_level': 416, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3209318
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336727252640, 'target_is_minimal': False, 'target_label': '3744.2.c.c.3457.2', 'target_level': 3744, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3209319
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679520, 'target_is_minimal': True, 'target_label': '416.2.f.c.129.1', 'target_level': 416, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3209320
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938944, 'target_is_minimal': False, 'target_label': '832.2.f.a.129.2', 'target_level': 832, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3209321
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140420928, 'target_is_minimal': False, 'target_label': '832.2.f.e.129.2', 'target_level': 832, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3209322
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099882144, 'target_is_minimal': False, 'target_label': '3744.2.c.b.3457.2', 'target_level': 3744, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3209323
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33559840, 'target_is_minimal': False, 'target_label': '5408.2.a.a.1.1', 'target_level': 5408, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3209324
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660930336, 'target_is_minimal': False, 'target_label': '5408.2.a.b.1.1', 'target_level': 5408, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 3209325
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938528, 'target_is_minimal': True, 'target_label': '416.2.f.a.129.2', 'target_level': 416, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 3209326
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727252640, 'target_is_minimal': False, 'target_label': '3744.2.c.c.3457.1', 'target_level': 3744, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 3209327
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635296, 'target_is_minimal': False, 'target_label': '5408.2.a.l.1.1', 'target_level': 5408, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 3209328
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562005792, 'target_is_minimal': False, 'target_label': '5408.2.a.m.1.1', 'target_level': 5408, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 3209329
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679520, 'target_is_minimal': True, 'target_label': '416.2.f.c.129.2', 'target_level': 416, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 3209330
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938944, 'target_is_minimal': False, 'target_label': '832.2.f.a.129.1', 'target_level': 832, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '104.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 3209331
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420928, 'target_is_minimal': False, 'target_label': '832.2.f.e.129.1', 'target_level': 832, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '104.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 3209332
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 129, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938528, 'source_is_minimal': True, 'source_label': '416.2.f.a.129.1', 'source_level': 416, 'target_conrey_index': 3457, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099882144, 'target_is_minimal': False, 'target_label': '3744.2.c.b.3457.1', 'target_level': 3744, 'twist_class_label': '416.2.f.a.129.1', 'twist_class_level': 416, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 856800
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 2}
-
id: 856801
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 3}
-
id: 856802
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 5}
-
id: 856803
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 7}
-
id: 856804
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 11}
-
id: 856805
{'charpoly_factorization': [[[13, 4, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 13}
-
id: 856806
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 17}
-
id: 856807
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 19}
-
id: 856808
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 23}
-
id: 856809
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 29}
-
id: 856810
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 31}
-
id: 856811
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 37}
-
id: 856812
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 41}
-
id: 856813
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 43}
-
id: 856814
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 47}
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id: 856815
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 53}
-
id: 856816
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 59}
-
id: 856817
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 61}
-
id: 856818
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 67}
-
id: 856819
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 71}
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id: 856820
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 73}
-
id: 856821
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 79}
-
id: 856822
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 83}
-
id: 856823
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 343630938528, 'p': 89}
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id: 856824
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 343630938528, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '416.2.f.a', 'level': 416, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8159058
{'hecke_orbit_code': 343630938528, 'n': 1, 'trace_an': 2}
-
id: 8159059
{'hecke_orbit_code': 343630938528, 'n': 2, 'trace_an': 0}
-
id: 8159060
{'hecke_orbit_code': 343630938528, 'n': 3, 'trace_an': -6}
-
id: 8159061
{'hecke_orbit_code': 343630938528, 'n': 4, 'trace_an': 0}
-
id: 8159062
{'hecke_orbit_code': 343630938528, 'n': 5, 'trace_an': 0}
-
id: 8159063
{'hecke_orbit_code': 343630938528, 'n': 6, 'trace_an': 0}
-
id: 8159064
{'hecke_orbit_code': 343630938528, 'n': 7, 'trace_an': 0}
-
id: 8159065
{'hecke_orbit_code': 343630938528, 'n': 8, 'trace_an': 0}
-
id: 8159066
{'hecke_orbit_code': 343630938528, 'n': 9, 'trace_an': 12}
-
id: 8159067
{'hecke_orbit_code': 343630938528, 'n': 10, 'trace_an': 0}
-
id: 8159068
{'hecke_orbit_code': 343630938528, 'n': 11, 'trace_an': 0}
-
id: 8159069
{'hecke_orbit_code': 343630938528, 'n': 12, 'trace_an': 0}
-
id: 8159070
{'hecke_orbit_code': 343630938528, 'n': 13, 'trace_an': -4}
-
id: 8159071
{'hecke_orbit_code': 343630938528, 'n': 14, 'trace_an': 0}
-
id: 8159072
{'hecke_orbit_code': 343630938528, 'n': 15, 'trace_an': 0}
-
id: 8159073
{'hecke_orbit_code': 343630938528, 'n': 16, 'trace_an': 0}
-
id: 8159074
{'hecke_orbit_code': 343630938528, 'n': 17, 'trace_an': -10}
-
id: 8159075
{'hecke_orbit_code': 343630938528, 'n': 18, 'trace_an': 0}
-
id: 8159076
{'hecke_orbit_code': 343630938528, 'n': 19, 'trace_an': 0}
-
id: 8159077
{'hecke_orbit_code': 343630938528, 'n': 20, 'trace_an': 0}
-
id: 8159078
{'hecke_orbit_code': 343630938528, 'n': 21, 'trace_an': 0}
-
id: 8159079
{'hecke_orbit_code': 343630938528, 'n': 22, 'trace_an': 0}
-
id: 8159080
{'hecke_orbit_code': 343630938528, 'n': 23, 'trace_an': -12}
-
id: 8159081
{'hecke_orbit_code': 343630938528, 'n': 24, 'trace_an': 0}
-
id: 8159082
{'hecke_orbit_code': 343630938528, 'n': 25, 'trace_an': -8}
-
id: 8159083
{'hecke_orbit_code': 343630938528, 'n': 26, 'trace_an': 0}
-
id: 8159084
{'hecke_orbit_code': 343630938528, 'n': 27, 'trace_an': -18}
-
id: 8159085
{'hecke_orbit_code': 343630938528, 'n': 28, 'trace_an': 0}
-
id: 8159086
{'hecke_orbit_code': 343630938528, 'n': 29, 'trace_an': -8}
-
id: 8159087
{'hecke_orbit_code': 343630938528, 'n': 30, 'trace_an': 0}
-
id: 8159088
{'hecke_orbit_code': 343630938528, 'n': 31, 'trace_an': 0}
-
id: 8159089
{'hecke_orbit_code': 343630938528, 'n': 32, 'trace_an': 0}
-
id: 8159090
{'hecke_orbit_code': 343630938528, 'n': 33, 'trace_an': 0}
-
id: 8159091
{'hecke_orbit_code': 343630938528, 'n': 34, 'trace_an': 0}
-
id: 8159092
{'hecke_orbit_code': 343630938528, 'n': 35, 'trace_an': 6}
-
id: 8159093
{'hecke_orbit_code': 343630938528, 'n': 36, 'trace_an': 0}
-
id: 8159094
{'hecke_orbit_code': 343630938528, 'n': 37, 'trace_an': 0}
-
id: 8159095
{'hecke_orbit_code': 343630938528, 'n': 38, 'trace_an': 0}
-
id: 8159096
{'hecke_orbit_code': 343630938528, 'n': 39, 'trace_an': 12}
-
id: 8159097
{'hecke_orbit_code': 343630938528, 'n': 40, 'trace_an': 0}
-
id: 8159098
{'hecke_orbit_code': 343630938528, 'n': 41, 'trace_an': 0}
-
id: 8159099
{'hecke_orbit_code': 343630938528, 'n': 42, 'trace_an': 0}
-
id: 8159100
{'hecke_orbit_code': 343630938528, 'n': 43, 'trace_an': -6}
-
id: 8159101
{'hecke_orbit_code': 343630938528, 'n': 44, 'trace_an': 0}
-
id: 8159102
{'hecke_orbit_code': 343630938528, 'n': 45, 'trace_an': 0}
-
id: 8159103
{'hecke_orbit_code': 343630938528, 'n': 46, 'trace_an': 0}
-
id: 8159104
{'hecke_orbit_code': 343630938528, 'n': 47, 'trace_an': 0}
-
id: 8159105
{'hecke_orbit_code': 343630938528, 'n': 48, 'trace_an': 0}
-
id: 8159106
{'hecke_orbit_code': 343630938528, 'n': 49, 'trace_an': 12}
-
id: 8159107
{'hecke_orbit_code': 343630938528, 'n': 50, 'trace_an': 0}
-
id: 8159108
{'hecke_orbit_code': 343630938528, 'n': 51, 'trace_an': 30}
-
id: 8159109
{'hecke_orbit_code': 343630938528, 'n': 52, 'trace_an': 0}
-
id: 8159110
{'hecke_orbit_code': 343630938528, 'n': 53, 'trace_an': -4}
-
id: 8159111
{'hecke_orbit_code': 343630938528, 'n': 54, 'trace_an': 0}
-
id: 8159112
{'hecke_orbit_code': 343630938528, 'n': 55, 'trace_an': -24}
-
id: 8159113
{'hecke_orbit_code': 343630938528, 'n': 56, 'trace_an': 0}
-
id: 8159114
{'hecke_orbit_code': 343630938528, 'n': 57, 'trace_an': 0}
-
id: 8159115
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