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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [1, 1]], 'cm_discs': [], 'conrey_index': 37, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 481069891773, 'hecke_ring_generator_nbound': 5, '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, 63, 8, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [1, 1]], 'conrey_index': 37, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 481069891773, 'hecke_orbit_dims': [2, 10], 'label': '189.2.h', 'level': 189, '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': [3, 7], 'level_radical': 21, 'mf_dim': 60, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 8, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 1, 'trace_display': [2, 0, -5, 0], 'traces': [12, 2, 0, 6, -5, 0, 0, 12, 0, -6, 1, 0, -3, 16, 0, -6, -9, 0, 0, -4, 0, -6, 0, 0, 3, -16, 0, -6, -8, 0, 6, -14, 0, 0, -4, 0, -3, -19, 0, -6, -10, 0, -6, 5, 0, 0, 54, 0, -6, -23, 0, -15, 12, 0, -6, -6, 0, -9, 60, 0, 0, 12, 0, -36, -32, 0, 12, -30, 0, 39, 30, 0, 12, 39, 0, 6, 14, 0, 24, -19, 0, 0, -18, 0, -3, 7, 0, -3, -41, 0, 21, -30, 0, 6, -26, 0, -3, -61, 0, 9, -25, 0, 6, 6, 0, 15, 25, 0, -12, 50, 0, -9, -29, 0, 21, 26, 0, 60, 12, 0, 9, 56, 0, -18, 42, 0, 24, -12, 0, 6, -53, 0, -51, 122, 0, -3, -9, 0, 6, 103, 0, -30, -32, 0, -9, 18, 0, 33, 42, 0, -24, -27, 0, -27, -24, 0, -66, -86, 0, -24, -63, 0, 6, -14, 0, 3, -38, 0, 15, -21, 0, 12, 92, 0, 6, -31, 0, 24, -16, 0, -72, -29, 0, 39, -18, 0, 24, -60, 0, 18, -50, 0, -30, -33, 0, -30, 46, 0, -27, 15, 0, -48, 14, 0, -60, -14, 0, 15, -23, 0, -15, 24, 0, 39, -61, 0, -9, -75, 0, 54, 60, 0, 9, -46, 0, -30, -21, 0, -36, 45, 0, -18, 42, 0, 0, 120, 0, 21, -24, 0, -36, 49, 0, 0, 55, 0, -27, 36, 0, 42, 112, 0, -78, -30, 0, -42, -37, 0, 81, 50, 0, 57, 7, 0, 48, 46, 0, 114, -6, 0, -9, 18, 0, 0, -31, 0, 0, 15, 0, 72, 2, 0, 78, -108, 0, 45, -11, 0, 39, -22, 0, 21, -7, 0, -9, 51, 0, -6, 72, 0, 24, -47, 0, -15, -23, 0, 108, -74, 0, -42, 102, 0, 18, -70, 0, 42, -60, 0, 84, 34, 0, -75, -60, 0, 9, 17, 0, -6, 3, 0, 18, -9, 0, -36, -53, 0, 9, -12, 0, -42, -30, 0, -81, -9, 0, -132, 86, 0, -9, -4, 0, 6, 19, 0, 24, -16, 0, -30, -7, 0, 30, -88, 0, -36, 9, 0, 48, 75, 0, -150, 18, 0, 48, 18, 0, -48, 22, 0, 30, 86, 0, -84, -30, 0, 27, -2, 0, -102, -24, 0, -45, -15, 0, -138, -16, 0, 33, 87, 0, -63, 48, 0, 12, 4, 0, -18, 45, 0, 60, -98, 0, 0, -27, 0, -63, 37, 0, 33, -75, 0, -30, -73, 0, -18, -36, 0, -21, 17, 0, -75, -18, 0, -12, -42, 0, -57, -96, 0, -114, -48, 0, 24, 72, 0, 6, 32, 0, 57, 30, 0, 48, 14, 0, 90, -37, 0, 114, -8, 0, 33, -64, 0, 18, -40, 0, 18, 24, 0, 129, 24, 0, 114, 74, 0, 6, 42, 0, 24, -76, 0, 39, 61, 0, 81, 33, 0, -24, -126, 0, 39, 74, 0, 24, -28, 0, 96, 114, 0, -33, -72, 0, 6, 96, 0, 132, -12, 0, 60, -10, 0, -117, -34, 0, 18, -46, 0, -33, 75, 0, 18, 18, 0, 9, 32, 0, 39, 9, 0, -6, 75, 0, -81, -25, 0, -252, 54, 0, -36, 121, 0, 15, 32, 0, -39, -30, 0, 9, -48, 0, 3, 106, 0, -45, 32, 0, 111, -86, 0, -102, -62, 0, 111, 40, 0, 72, -82, 0, -78, -8, 0, -96, 47, 0, 36, -114, 0, -87, 77, 0, 3, -156, 0, -120, 66, 0, 51, -59, 0, -15, -66, 0, 45, 30, 0, -30, 30, 0, 120, 48, 0, 33, 116, 0, -108, 59, 0, -57, 121, 0, -30, -57, 0, 15, -166, 0, 54, 81, 0, -108, -24, 0, -12, -55, 0, -12, -104, 0, 66, -6, 0, -186, 54, 0, 66, 48, 0, 141, -58, 0, 126, -120, 0, 33, -78, 0, 228, -19, 0, -27, 40, 0, 24, 18, 0, -12, 73, 0, 126, 93, 0, 186, 10, 0, 48, 2, 0, 84, 47, 0, -60, -77, 0, 12, -16, 0, 33, -42, 0, 3, -30, 0, -6, -3, 0, 108, -17, 0, -81, -72, 0, -42, -26, 0, 24, 0, 0, 18, 161, 0, -183, -138, 0, 87, 28, 0, -15, -215, 0, -60, 123, 0, -96, 75, 0, -18, -53, 0, -78, -36, 0, -135, 102, 0, -306, 80, 0, -102, 51, 0, 90, -12, 0, 9, 81, 0, -42, 64, 0, 27, -306, 0, -66, -6, 0, 93, -11, 0, -66, 167, 0, 90, -42, 0, -18, 122, 0, -12, 210, 0, 78, 18, 0, 18, -124, 0, -186, -81, 0, -66, 10, 0, -240, 104, 0, -60, 3, 0, -90, -22, 0, 90, 84, 0, -78, 52, 0, 84, -40, 0, -3, 74, 0, -75, 78, 0, 12, 4, 0, -21, -52, 0, -48, -174, 0, 12, 33, 0, -132, -60, 0, 0, 7, 0, -9, 40, 0, -108, -296, 0, -18, -160, 0, -132, 66, 0, 114, -216, 0, 48, 30, 0, 57, -9, 0, 192, -10, 0, -27, -65, 0, 84, -5, 0, 15, 75, 0, 126, 39, 0, 144, 126, 0, 69, 82, 0, 93, 142, 0, 90, -5, 0, 90, -81, 0, -30, -190, 0, 9, 62, 0, 0, -30, 0, 258, -15, 0, -24, -258, 0, 6, 72, 0, 132, 12, 0, 126, 14, 0, -114, 68, 0, 51, -12, 0, -27, -39, 0, -66, -48, 0, 78, 1, 0, 51, 31, 0, -21, 156, 0, -48, 66, 0, -258, 86, 0, -114, -19, 0, 24, -6, 0, -39, 21, 0, 42, 44, 0, 66, -46, 0, 117, 135, 0, 198, -21, 0, -90, -74, 0, 105, -184, 0, 162, -48, 0, 90, 62, 0, -96, 67, 0, 72, 98, 0, -108, -60, 0, -96, -54, 0, -270, 15, 0, 120, 77, 0, -15, -69, 0, -9, 3, 0, -6, -34, 0, 60, 150, 0, 9, 62, 0, -150, -57, 0, -48, -69, 0, -15, 102, 0, -33, 0, 0, 39, 141, 0, -144, 113, 0, -108], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 5367647
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 46, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891773, 'target_is_minimal': False, 'target_label': '189.2.h.a.46.1', 'target_level': 189, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5367648
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 25, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891647, 'target_is_minimal': True, 'target_label': '63.2.h.a.25.1', 'target_level': 63, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5367649
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 2881, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172555728, 'target_is_minimal': False, 'target_label': '3024.2.q.b.2881.1', 'target_level': 3024, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5367650
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 100, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415037, 'target_is_minimal': False, 'target_label': '189.2.g.a.100.1', 'target_level': 189, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5367651
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 883, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309931, 'target_is_minimal': False, 'target_label': '1323.2.f.b.883.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5367652
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 883, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630939435, 'target_is_minimal': False, 'target_label': '1323.2.f.a.883.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 5367653
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 667, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350416171, 'target_is_minimal': False, 'target_label': '1323.2.g.a.667.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5367654
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 802, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069892907, 'target_is_minimal': False, 'target_label': '1323.2.h.a.802.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 5367655
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 487, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461943, 'target_is_minimal': False, 'target_label': '567.2.e.a.487.1', 'target_level': 567, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5367656
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 172, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415037, 'target_is_minimal': False, 'target_label': '189.2.g.a.172.1', 'target_level': 189, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 5367657
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 4, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414911, 'target_is_minimal': True, 'target_label': '63.2.g.a.4.1', 'target_level': 63, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5367658
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 487, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832439, 'target_is_minimal': False, 'target_label': '567.2.e.b.487.1', 'target_level': 567, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 5367659
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799924208, 'target_is_minimal': False, 'target_label': '1008.2.q.c.529.1', 'target_level': 1008, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5367660
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 16, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414911, 'target_is_minimal': True, 'target_label': '63.2.g.a.16.1', 'target_level': 63, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5367661
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415289, 'target_is_minimal': False, 'target_label': '441.2.g.a.79.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5367662
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 295, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309049, 'target_is_minimal': False, 'target_label': '441.2.f.b.295.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5367663
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 295, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938553, 'target_is_minimal': False, 'target_label': '441.2.f.a.295.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 5367664
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 214, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069892025, 'target_is_minimal': False, 'target_label': '441.2.h.a.214.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 5367665
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512104585726928, 'target_is_minimal': False, 'target_label': '3024.2.t.d.289.1', 'target_level': 3024, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5367666
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512104585724912, 'target_is_minimal': False, 'target_label': '1008.2.t.d.193.1', 'target_level': 1008, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5367667
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 1873, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512104585726928, 'target_is_minimal': False, 'target_label': '3024.2.t.d.1873.1', 'target_level': 3024, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 5367668
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 163, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461943, 'target_is_minimal': False, 'target_label': '567.2.e.a.163.1', 'target_level': 567, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5367669
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 442, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630939435, 'target_is_minimal': False, 'target_label': '1323.2.f.a.442.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 5367670
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 373, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069892025, 'target_is_minimal': False, 'target_label': '441.2.h.a.373.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5367671
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915669889, 'target_is_minimal': False, 'target_label': '3969.2.a.d.1.1', 'target_level': 3969, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5367672
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350416171, 'target_is_minimal': False, 'target_label': '1323.2.g.a.361.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 5367673
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 163, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832439, 'target_is_minimal': False, 'target_label': '567.2.e.b.163.1', 'target_level': 567, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 5367674
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 58, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891647, 'target_is_minimal': True, 'target_label': '63.2.h.a.58.1', 'target_level': 63, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5367675
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299393, 'target_is_minimal': False, 'target_label': '3969.2.a.c.1.1', 'target_level': 3969, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 5367676
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 442, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309931, 'target_is_minimal': False, 'target_label': '1323.2.f.b.442.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 5367677
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 148, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309049, 'target_is_minimal': False, 'target_label': '441.2.f.b.148.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 5367678
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170410881, 'target_is_minimal': False, 'target_label': '3969.2.a.f.1.1', 'target_level': 3969, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 5367679
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069892907, 'target_is_minimal': False, 'target_label': '1323.2.h.a.226.1', 'target_level': 1323, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 5367680
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415289, 'target_is_minimal': False, 'target_label': '441.2.g.a.67.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 5367681
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33558401, 'target_is_minimal': False, 'target_label': '3969.2.a.a.1.1', 'target_level': 3969, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 5367682
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891773, 'target_is_minimal': False, 'target_label': '189.2.h.a.37.1', 'target_level': 189, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 5367683
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 148, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938553, 'target_is_minimal': False, 'target_label': '441.2.f.a.148.1', 'target_level': 441, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 5367684
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512104585724912, 'target_is_minimal': False, 'target_label': '1008.2.t.d.961.1', 'target_level': 1008, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5367685
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 625, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799924208, 'target_is_minimal': False, 'target_label': '1008.2.q.c.625.1', 'target_level': 1008, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5367686
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891773, 'source_is_minimal': False, 'source_label': '189.2.h.a.46.1', 'source_level': 189, 'target_conrey_index': 2305, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172555728, 'target_is_minimal': False, 'target_label': '3024.2.q.b.2305.1', 'target_level': 3024, 'twist_class_label': '63.2.g.a.4.1', 'twist_class_level': 63, 'twisting_char_label': '252.247', 'twisting_conrey_index': 247, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 472825
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 2}
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id: 472826
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 3}
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id: 472827
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 5}
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id: 472828
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 7}
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id: 472829
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 11}
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id: 472830
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 13}
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id: 472831
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 17}
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id: 472832
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 19}
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id: 472833
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 23}
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id: 472834
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 29}
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id: 472835
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 31}
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id: 472836
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 37}
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id: 472837
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 41}
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id: 472838
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 43}
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id: 472839
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 47}
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id: 472840
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 53}
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id: 472841
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 59}
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id: 472842
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 61}
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id: 472843
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 67}
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id: 472844
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 71}
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id: 472845
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 73}
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id: 472846
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 481069891773, 'p': 79}
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id: 472847
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 83}
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id: 472848
{'charpoly_factorization': [[[169, 13, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 89}
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id: 472849
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 481069891773, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '189.2.h.a', 'level': 189, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 9305352
{'hecke_orbit_code': 481069891773, 'n': 1, 'trace_an': 2}
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id: 9305353
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