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mf_newforms • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 39, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 66, 'char_orbit_label': 'cn', 'char_order': 12, 'char_parity': 1, 'char_values': [624, 12, [79, 469, 209, 145], [12, 12, 6, 5]], 'cm_discs': [], 'conrey_index': 305, 'dim': 8, 'field_disc': 56070144, 'field_disc_factorization': [[2, 12], [3, 4], [13, 2]], 'field_poly': [13, -38, 70, -74, 63, -34, 16, -4, 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': [[5, [169, 0, 0, 0, 38, 0, 0, 0, 1]], [7, [4, -4, 2, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9011666054283888, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'char_conductor': 39, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 66, 'char_orbit_label': 'cn', 'char_order': 12, 'char_parity': 1, 'char_values': [624, 12, [79, 469, 209, 145], [12, 12, 6, 5]], 'conrey_index': 305, 'cusp_dim': 400, 'dim': 104, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 4466799542896, 'hecke_orbit_dims': [4, 4, 8, 16, 16, 56], 'label': '624.2.cn', 'level': 624, '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, 3, 13], 'level_radical': 78, 'mf_dim': 496, 'mf_new_dim': 120, 'num_forms': 6, 'prim_orbit_index': 11, 'relative_dim': 26, 'sturm_bound': 224, 'trace_bound': 7, 'trace_display': [0, 2, 0, 4], 'traces': [104, 0, 2, 0, 0, 0, 4, 0, -2, 0, 0, 0, -8, 0, 10, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 36, 0, -10, 0, 0, 0, 8, 0, -26, 0, 0, 0, 96, 0, -14, 0, 0, 0, 12, 0, 0, 0, 0, 0, 44, 0, -14, 0, 0, 0, -20, 0, -10, 0, 0, 0, 40, 0, -6, 0, 0, 0, -16, 0, -12, 0, 0, 0, 16, 0, -2, 0, 0, 0, -4, 0, 2, 0, 0, 0, -44, 0, -54, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, -100, 0, 0, 0, -8, 0, -30, 0, 0, 0, -36, 0, -42, 0, 0, 0, -12, 0, 22, 0, 0, 0, 12, 0, 0, 0, 0, 0, -4, 0, -124, 0, 0, 0, -8, 0, -34, 0, 0, 0, 20, 0, -174, 0, 0, 0, -48, 0, 66, 0, 0, 0, -80, 0, -92, 0, 0, 0, -8, 0, 10, 0, 0, 0, 32, 0, -134, 0, 0, 0, -44, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, -116, 0, -16, 0, 0, 0, -16, 0, 122, 0, 0, 0, -84, 0, 26, 0, 0, 0, -12, 0, 0, 0, 0, 0, -116, 0, -10, 0, 0, 0, 20, 0, 58, 0, 0, 0, -172, 0, 48, 0, 0, 0, -8, 0, 96, 0, 0, 0, -16, 0, -32, 0, 0, 0, 0, 0, 22, 0, 0, 0, 140, 0, 54, 0, 0, 0, 36, 0, 160, 0, 0, 0, 0, 0, -156, 0, 0, 0, 48, 0, 126, 0, 0, 0, 108, 0, 42, 0, 0, 0, -12, 0, 78, 0, 0, 0, 84, 0, 0, 0, 0, 0, 24, 0, 238, 0, 0, 0, -12, 0, 48, 0, 0, 0, 28, 0, 174, 0, 0, 0, 92, 0, 108, 0, 0, 0, 80, 0, 210, 0, 0, 0, -12, 0, 26, 0, 0, 0, 160, 0, 238, 0, 0, 0, 16, 0, 30, 0, 0, 0, 0, 0, 100, 0, 0, 0, 384, 0, 98, 0, 0, 0, -120, 0, -60, 0, 0, 0, 228, 0, 100, 0, 0, 0, -204, 0, 0, 0, 0, 0, 168, 0, -6, 0, 0, 0, 44, 0, -196, 0, 0, 0, 380, 0, 66, 0, 0, 0, -64, 0, -150, 0, 0, 0, -24, 0, 44, 0, 0, 0, 24, 0, 54, 0, 0, 0, -120, 0, 146, 0, 0, 0, -96, 0, -54, 0, 0, 0, 0, 0, 180, 0, 0, 0, 24, 0, -10, 0, 0, 0, -176, 0, 174, 0, 0, 0, -60, 0, -94, 0, 0, 0, -288, 0, 0, 0, 0, 0, 92, 0, -358, 0, 0, 0, 68, 0, 130, 0, 0, 0, -136, 0, -276, 0, 0, 0, -268, 0, -96, 0, 0, 0, 176, 0, -156, 0, 0, 0, -464, 0, 48, 0, 0, 0, -120, 0, -374, 0, 0, 0, -188, 0, -70, 0, 0, 0, 0, 0, -156, 0, 0, 0, -488, 0, 6, 0, 0, 0, 28, 0, 70, 0, 0, 0, -456, 0, -144, 0, 0, 0, -156, 0, 0, 0, 0, 0, -188, 0, 6, 0, 0, 0, -64, 0, 298, 0, 0, 0, -268, 0, -102, 0, 0, 0, -24, 0, 168, 0, 0, 0, -152, 0, 66, 0, 0, 0, -192, 0, -54, 0, 0, 0, 156, 0, -152, 0, 0, 0, -140, 0, 130, 0, 0, 0, 0, 0, 188, 0, 0, 0, -72, 0, 254, 0, 0, 0, 152, 0, -190, 0, 0, 0, -12, 0, 198, 0, 0, 0, 204, 0, 0, 0, 0, 0, -36, 0, 438, 0, 0, 0, -164, 0, -110, 0, 0, 0, -40, 0, 486, 0, 0, 0, 92, 0, 132, 0, 0, 0, -280, 0, 244, 0, 0, 0, 224, 0, 10, 0, 0, 0, -172, 0, 386, 0, 0, 0, 108, 0, -84, 0, 0, 0, 0, 0, -12, 0, 0, 0, 456, 0, -90, 0, 0, 0, -104, 0, -204, 0, 0, 0, 396, 0, -94, 0, 0, 0, 12, 0, 0, 0, 0, 0, 312, 0, -42, 0, 0, 0, -4, 0, -310, 0, 0, 0, 500, 0, -228, 0, 0, 0, 220, 0, -228, 0, 0, 0, 144, 0, -96, 0, 0, 0, -152, 0, 128, 0, 0, 0, -12, 0, -98, 0, 0, 0, 232, 0, -210, 0, 0, 0, 0, 0, -248, 0, 0, 0, 24, 0, -244, 0, 0, 0, -380, 0, -238, 0, 0, 0, 84, 0, -122, 0, 0, 0, -132, 0, 0, 0, 0, 0, -148, 0, -754, 0, 0, 0, 52, 0, 114, 0, 0, 0, 112, 0, -594, 0, 0, 0, -188, 0, 180, 0, 0, 0, -144, 0, -356, 0, 0, 0, -140, 0, -86, 0, 0, 0, 292, 0, -636, 0, 0, 0, -20, 0, 10, 0, 0, 0, 0, 0, -92, 0, 0, 0, -572, 0, -78, 0, 0, 0, 4, 0, 58, 0, 0, 0, -372, 0, 372, 0, 0, 0, 420, 0, 0, 0, 0, 0, -436, 0, -232, 0, 0, 0, -32, 0, 342, 0, 0, 0, -472, 0, 138, 0, 0, 0, 40, 0, 402, 0, 0, 0, 224, 0, -140, 0, 0, 0, 268, 0, -64, 0, 0, 0, 36, 0, 6, 0, 0, 0, 312, 0, 274, 0, 0, 0, 0, 0, -220, 0, 0, 0, 68, 0, 398, 0, 0, 0, 476, 0, 130, 0, 0, 0, 480, 0, 128, 0, 0, 0, 492, 0, 0, 0, 0, 0, 124, 0, 772, 0, 0, 0, -60, 0, 58, 0, 0, 0, 348, 0, 504, 0, 0, 0, 200, 0, 24, 0, 0, 0, 496, 0, 368, 0, 0, 0, 484, 0, 84, 0, 0, 0, 104, 0, 582, 0, 0, 0, 444, 0, 58, 0, 0, 0, 0, 0, 4, 0, 0, 0, 800, 0, 276, 0, 0, 0, 404, 0, -264, 0, 0, 0, 1044, 0, 182, 0, 0, 0, 36, 0, 0, 0, 0, 0, 356, 0, 42, 0, 0, 0, -84, 0, -320, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 42432765
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.449.2', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42432766
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.449.1', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42432767
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 20, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.20.2', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42432768
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 20, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.20.1', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42432769
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.353.1', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42432770
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.449.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42432771
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.449.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42432772
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 176, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.176.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42432773
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.353.2', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42432774
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.89.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42432775
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.239.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42432776
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 80, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.80.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42432777
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 2, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.2.1', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 42432778
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.239.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42432779
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.89.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42432780
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.188.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 42432781
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.437.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 42432782
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.437.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 42432783
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.188.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 42432784
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 488, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.488.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 42432785
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.449.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42432786
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.449.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 42432787
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 176, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.176.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 42432788
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 80, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.80.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42432789
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.89.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42432790
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.437.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 42432791
{'conductor': 156, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.188.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 42432792
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.239.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 42432793
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.239.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 42432794
{'conductor': 156, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.188.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 42432795
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.437.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 42432796
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.89.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 42432797
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 2, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.2.2', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 42432798
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 488, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.488.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
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id: 42432799
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.899.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '260.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 42432800
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 626, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.626.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '260.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 42432801
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.899.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '260.223', 'twisting_conrey_index': 223, 'weight': 2}
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id: 42432802
{'conductor': 780, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 626, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.626.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '780.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 42432803
{'conductor': 780, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.899.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '780.587', 'twisting_conrey_index': 587, 'weight': 2}
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id: 42432804
{'conductor': 780, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9011666054283888, 'source_is_minimal': False, 'source_label': '624.2.cn.c.449.2', 'source_level': 624, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.899.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '780.743', 'twisting_conrey_index': 743, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1131400
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9011666054283888, 'p': 2}
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id: 1131401
{'charpoly_factorization': [[[81, -54, 0, 12, -5, 4, 0, -2, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 3}
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id: 1131402
{'charpoly_factorization': [[[169, 0, 0, 0, 38, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 5}
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id: 1131403
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 7}
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id: 1131404
{'charpoly_factorization': [[[2704, 0, -1248, 0, 140, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 11}
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id: 1131405
{'charpoly_factorization': [[[169, -52, 3, -4, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 13}
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id: 1131406
{'charpoly_factorization': [[[13689, 0, 3510, 0, 783, 0, 30, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 17}
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id: 1131407
{'charpoly_factorization': [[[16, -16, 20, -8, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 19}
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id: 1131408
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9011666054283888, 'p': 23}
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id: 1131409
{'charpoly_factorization': [[[2474329, 0, -128986, 0, 5151, 0, -82, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 29}
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id: 1131410
{'charpoly_factorization': [[[484, -88, 8, 4, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 31}
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id: 1131411
{'charpoly_factorization': [[[1369, 592, 113, 14, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 37}
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id: 1131412
{'charpoly_factorization': [[[169, 0, 702, 0, 959, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 41}
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id: 1131413
{'charpoly_factorization': [[[324, 324, 126, 18, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 43}
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id: 1131414
{'charpoly_factorization': [[[11075584, 0, 0, 0, 9728, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 47}
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id: 1131415
{'charpoly_factorization': [[[13, 0, 22, 0, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 53}
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id: 1131416
{'charpoly_factorization': [[[43264, 0, -4992, 0, -16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 59}
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id: 1131417
{'charpoly_factorization': [[[49, -7, 1], 4]], 'hecke_orbit_code': 9011666054283888, 'p': 61}
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id: 1131418
{'charpoly_factorization': [[[2704, -832, 164, -20, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 67}
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id: 1131419
{'charpoly_factorization': [[[43264, 0, 4992, 0, -16, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 71}
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id: 1131420
{'charpoly_factorization': [[[121, 154, 98, 14, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 73}
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id: 1131421
{'charpoly_factorization': [[[2, 1], 8]], 'hecke_orbit_code': 9011666054283888, 'p': 79}
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id: 1131422
{'charpoly_factorization': [[[2704, 0, 0, 0, 296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 83}
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id: 1131423
{'charpoly_factorization': [[[77228944, 0, 210912, 0, -8596, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 9011666054283888, 'p': 89}
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id: 1131424
{'charpoly_factorization': [[[484, -572, 194, -10, 1], 2]], 'hecke_orbit_code': 9011666054283888, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 66, 'hecke_orbit': 3, 'label': '624.2.cn.c', 'level': 624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 32344147
{'hecke_orbit_code': 9011666054283888, 'n': 1, 'trace_an': 8}
-
id: 32344148
{'hecke_orbit_code': 9011666054283888, 'n': 2, 'trace_an': 0}
-
id: 32344149
{'hecke_orbit_code': 9011666054283888, 'n': 3, 'trace_an': 2}
-
id: 32344150
{'hecke_orbit_code': 9011666054283888, 'n': 4, 'trace_an': 0}
-
id: 32344151
{'hecke_orbit_code': 9011666054283888, 'n': 5, 'trace_an': 0}
-
id: 32344152
{'hecke_orbit_code': 9011666054283888, 'n': 6, 'trace_an': 0}
-
id: 32344153
{'hecke_orbit_code': 9011666054283888, 'n': 7, 'trace_an': 4}
-
id: 32344154
{'hecke_orbit_code': 9011666054283888, 'n': 8, 'trace_an': 0}
-
id: 32344155
{'hecke_orbit_code': 9011666054283888, 'n': 9, 'trace_an': 4}
-
id: 32344156
{'hecke_orbit_code': 9011666054283888, 'n': 10, 'trace_an': 0}
-
id: 32344157
{'hecke_orbit_code': 9011666054283888, 'n': 11, 'trace_an': 0}
-
id: 32344158
{'hecke_orbit_code': 9011666054283888, 'n': 12, 'trace_an': 0}
-
id: 32344159
{'hecke_orbit_code': 9011666054283888, 'n': 13, 'trace_an': 8}
-
id: 32344160
{'hecke_orbit_code': 9011666054283888, 'n': 14, 'trace_an': 0}
-
id: 32344161
{'hecke_orbit_code': 9011666054283888, 'n': 15, 'trace_an': 14}
-
id: 32344162
{'hecke_orbit_code': 9011666054283888, 'n': 16, 'trace_an': 0}
-
id: 32344163
{'hecke_orbit_code': 9011666054283888, 'n': 17, 'trace_an': 0}
-
id: 32344164
{'hecke_orbit_code': 9011666054283888, 'n': 18, 'trace_an': 0}
-
id: 32344165
{'hecke_orbit_code': 9011666054283888, 'n': 19, 'trace_an': 16}
-
id: 32344166
{'hecke_orbit_code': 9011666054283888, 'n': 20, 'trace_an': 0}
-
id: 32344167
{'hecke_orbit_code': 9011666054283888, 'n': 21, 'trace_an': 4}
-
id: 32344168
{'hecke_orbit_code': 9011666054283888, 'n': 22, 'trace_an': 0}
-
id: 32344169
{'hecke_orbit_code': 9011666054283888, 'n': 23, 'trace_an': 0}
-
id: 32344170
{'hecke_orbit_code': 9011666054283888, 'n': 24, 'trace_an': 0}
-
id: 32344171
{'hecke_orbit_code': 9011666054283888, 'n': 25, 'trace_an': 0}
-
id: 32344172
{'hecke_orbit_code': 9011666054283888, 'n': 26, 'trace_an': 0}
-
id: 32344173
{'hecke_orbit_code': 9011666054283888, 'n': 27, 'trace_an': -4}
-
id: 32344174
{'hecke_orbit_code': 9011666054283888, 'n': 28, 'trace_an': 0}
-
id: 32344175
{'hecke_orbit_code': 9011666054283888, 'n': 29, 'trace_an': 0}
-
id: 32344176
{'hecke_orbit_code': 9011666054283888, 'n': 30, 'trace_an': 0}
-
id: 32344177
{'hecke_orbit_code': 9011666054283888, 'n': 31, 'trace_an': -8}
-
id: 32344178
{'hecke_orbit_code': 9011666054283888, 'n': 32, 'trace_an': 0}
-
id: 32344179
{'hecke_orbit_code': 9011666054283888, 'n': 33, 'trace_an': 16}
-
id: 32344180
{'hecke_orbit_code': 9011666054283888, 'n': 34, 'trace_an': 0}
-
id: 32344181
{'hecke_orbit_code': 9011666054283888, 'n': 35, 'trace_an': 0}
-
id: 32344182
{'hecke_orbit_code': 9011666054283888, 'n': 36, 'trace_an': 0}
-
id: 32344183
{'hecke_orbit_code': 9011666054283888, 'n': 37, 'trace_an': -28}
-
id: 32344184
{'hecke_orbit_code': 9011666054283888, 'n': 38, 'trace_an': 0}
-
id: 32344185
{'hecke_orbit_code': 9011666054283888, 'n': 39, 'trace_an': 14}
-
id: 32344186
{'hecke_orbit_code': 9011666054283888, 'n': 40, 'trace_an': 0}
-
id: 32344187
{'hecke_orbit_code': 9011666054283888, 'n': 41, 'trace_an': 0}
-
id: 32344188
{'hecke_orbit_code': 9011666054283888, 'n': 42, 'trace_an': 0}
-
id: 32344189
{'hecke_orbit_code': 9011666054283888, 'n': 43, 'trace_an': -36}
-
id: 32344190
{'hecke_orbit_code': 9011666054283888, 'n': 44, 'trace_an': 0}
-
id: 32344191
{'hecke_orbit_code': 9011666054283888, 'n': 45, 'trace_an': -20}
-
id: 32344192
{'hecke_orbit_code': 9011666054283888, 'n': 46, 'trace_an': 0}
-
id: 32344193
{'hecke_orbit_code': 9011666054283888, 'n': 47, 'trace_an': 0}
-
id: 32344194
{'hecke_orbit_code': 9011666054283888, 'n': 48, 'trace_an': 0}
-
id: 32344195
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id: 32344401
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