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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': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [2, 1]], 'cm_discs': [], 'conrey_index': 100, 'conrey_indexes': [100, 172], 'dim': 10, 'field_disc': -991381711347, 'field_disc_factorization': [[-1, 1], [3, 9], [47, 2], [151, 2]], 'field_poly': [9, -9, 36, -3, 90, -36, 40, -8, 9, -2, 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': [[2, [9, 9, 36, 3, 90, 36, 40, 8, 9, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785533, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_cc • Show schema
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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': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [2, 1]], 'conrey_index': 100, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350415037, 'hecke_orbit_dims': [2, 10], 'label': '189.2.g', 'level': 189, 'level_is_prime': False, 'level_is_prime_power': 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': 7, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 1, 'trace_display': [-1, 0, 10, 0], 'traces': [12, -1, 0, -3, 10, 0, 0, 12, 0, -6, -2, 0, -3, -11, 0, 3, -9, 0, 0, -4, 0, -6, 0, 0, -6, -16, 0, -6, -8, 0, -3, 7, 0, 0, -4, 0, -3, 38, 0, 12, -10, 0, -6, 5, 0, 0, -27, 0, 12, -23, 0, 30, 12, 0, -6, 48, 0, 18, -30, 0, 0, 12, 0, -36, 16, 0, -6, 60, 0, -24, 30, 0, 12, -78, 0, 6, 26, 0, -12, -19, 0, 0, -18, 0, -3, -14, 0, 6, -41, 0, 21, -30, 0, -3, 13, 0, -3, -61, 0, 9, 50, 0, -12, 6, 0, 15, 25, 0, -12, -25, 0, -18, -29, 0, -42, 26, 0, 60, 30, 0, -18, -28, 0, 9, 42, 0, 24, 6, 0, -3, 106, 0, 21, 122, 0, -3, 18, 0, 6, -38, 0, 15, -32, 0, -9, 18, 0, 33, -84, 0, 48, -27, 0, -27, -24, 0, 33, 43, 0, -24, -63, 0, 6, 28, 0, -6, -38, 0, 15, -21, 0, 12, -46, 0, -30, -31, 0, -48, -16, 0, -72, 61, 0, -78, 9, 0, -12, -60, 0, 18, 25, 0, 15, 66, 0, 33, 46, 0, -27, -30, 0, -48, 2, 0, 30, -14, 0, 15, -23, 0, -15, -48, 0, -78, -61, 0, -9, -75, 0, -27, -30, 0, 9, -46, 0, -30, 42, 0, 72, 45, 0, -18, 42, 0, 0, -60, 0, 84, -24, 0, 72, 49, 0, 0, 34, 0, 54, -18, 0, -21, 112, 0, -78, 15, 0, 21, 74, 0, 0, 50, 0, 57, -14, 0, 48, -2, 0, -57, -6, 0, -9, 18, 0, 0, 62, 0, 0, 15, 0, 72, 2, 0, -39, 54, 0, 45, -11, 0, 39, 44, 0, -42, -7, 0, -9, 51, 0, -6, -36, 0, -39, -47, 0, 30, -23, 0, 108, 61, 0, 84, -51, 0, -9, -70, 0, 42, 30, 0, -42, -68, 0, -30, -60, 0, 9, -34, 0, -6, 75, 0, -9, -9, 0, -36, -53, 0, 9, 24, 0, 84, -30, 0, -81, -9, 0, 66, -43, 0, -9, -4, 0, 6, -38, 0, -48, -16, 0, -30, -7, 0, 30, 44, 0, -36, 9, 0, -96, 75, 0, -150, -72, 0, -96, -9, 0, 24, 22, 0, 30, -43, 0, 42, 60, 0, -45, -2, 0, -102, 48, 0, -45, -24, 0, 69, -16, 0, 33, 87, 0, -63, -96, 0, -24, 4, 0, -18, 45, 0, -30, 49, 0, 0, -27, 0, -63, -74, 0, -66, -75, 0, -30, -73, 0, -18, 18, 0, 105, 17, 0, 150, -18, 0, -12, 57, 0, 114, 48, 0, 57, -48, 0, 24, -36, 0, -3, -64, 0, -15, 30, 0, 48, -28, 0, 90, -19, 0, -57, -8, 0, 33, -64, 0, 18, 80, 0, -36, 24, 0, 129, 24, 0, -57, -37, 0, 6, 42, 0, 24, 152, 0, -78, 61, 0, 81, 33, 0, -24, 63, 0, -114, 74, 0, -48, -28, 0, 96, -138, 0, 66, 36, 0, -3, 96, 0, 132, 6, 0, -30, 20, 0, 45, -34, 0, 18, 92, 0, -33, -141, 0, -9, 18, 0, 9, 32, 0, 39, -18, 0, 12, 75, 0, -81, -25, 0, 126, -27, 0, -36, 121, 0, 15, -64, 0, 78, -30, 0, 9, -48, 0, 3, -53, 0, 0, 32, 0, -222, -86, 0, -102, 13, 0, -222, -20, 0, -36, -82, 0, -78, 4, 0, 48, -94, 0, 63, -114, 0, -87, -154, 0, 3, 114, 0, 60, 66, 0, 51, -59, 0, -15, 132, 0, -90, 30, 0, -30, 30, 0, -60, -24, 0, 33, 116, 0, -108, -118, 0, 114, 121, 0, -30, -57, 0, 15, 83, 0, 63, 81, 0, 216, -24, 0, -12, -55, 0, 24, 52, 0, -33, -6, 0, -186, -27, 0, -33, -96, 0, 6, -58, 0, 126, 240, 0, 33, -42, 0, -114, -19, 0, -27, 40, 0, 24, -36, 0, 24, 73, 0, 126, 93, 0, -93, -5, 0, 48, 2, 0, 84, -94, 0, 120, -77, 0, 12, -16, 0, 33, 21, 0, -24, -30, 0, 12, -3, 0, 108, -86, 0, 162, 36, 0, 21, -26, 0, 24, 0, 0, -9, -322, 0, -3, -138, 0, 87, -56, 0, -15, 106, 0, 30, 123, 0, -96, 75, 0, -18, 106, 0, 156, -36, 0, -135, 102, 0, 153, -40, 0, -102, 51, 0, 90, 24, 0, -18, 81, 0, -42, 64, 0, 27, 153, 0, -84, -6, 0, -186, -11, 0, -66, -130, 0, -180, 21, 0, 9, 122, 0, -12, -105, 0, -39, -36, 0, -36, -124, 0, -186, 162, 0, -66, -53, 0, 120, 104, 0, -60, 3, 0, -90, 44, 0, -180, 84, 0, -78, 52, 0, -42, 20, 0, -3, 74, 0, -75, -156, 0, -24, 4, 0, -21, -52, 0, -48, 87, 0, 93, 33, 0, 264, -60, 0, 0, -89, 0, 18, -20, 0, 54, -296, 0, -18, 80, 0, 66, -132, 0, 42, -216, 0, 48, -60, 0, 57, 9, 0, -96, -10, 0, -27, -65, 0, 84, 10, 0, -30, 75, 0, 126, 39, 0, -72, -63, 0, 69, 82, 0, 93, -284, 0, -180, -5, 0, 90, -81, 0, -30, 95, 0, -108, 62, 0, 0, -30, 0, 258, -105, 0, 48, 129, 0, -3, 72, 0, 132, -6, 0, -63, -28, 0, -33, 68, 0, 51, 24, 0, -27, 69, 0, 33, -48, 0, 78, 1, 0, 51, -62, 0, 42, 156, 0, -48, 66, 0, 129, -43, 0, -114, -19, 0, 24, 12, 0, 78, 21, 0, 42, 44, 0, 66, 23, 0, -99, 135, 0, -396, -21, 0, -90, 112, 0, -210, 92, 0, -81, -48, 0, 90, -31, 0, 48, -134, 0, -27, 98, 0, -108, 120, 0, -96, 0, 0, 135, 15, 0, 120, 77, 0, -15, 138, 0, 18, 3, 0, -6, -34, 0, -30, -75, 0, 9, 62, 0, -150, 114, 0, 96, -69, 0, -15, 102, 0, -33, 0, 0, 246, 141, 0, 288, 113, 0, -108], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35361916
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 100, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785533, 'target_is_minimal': False, 'target_label': '189.2.g.b.100.1', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35361917
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 16, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504011977785407, 'target_is_minimal': True, 'target_label': '63.2.g.b.16.5', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35361918
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 289, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722579408, 'target_is_minimal': False, 'target_label': '3024.2.t.i.289.4', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35361919
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 883, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140421419, 'target_is_minimal': False, 'target_label': '1323.2.f.e.883.1', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35361920
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 802, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518479206745387, 'target_is_minimal': False, 'target_label': '1323.2.h.f.802.5', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35361921
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 46, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504080697262269, 'target_is_minimal': False, 'target_label': '189.2.h.b.46.5', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35361922
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 883, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791915, 'target_is_minimal': False, 'target_label': '1323.2.f.f.883.1', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35361923
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 667, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268651, 'target_is_minimal': False, 'target_label': '1323.2.g.f.667.1', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35361924
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 163, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518273048314423, 'target_is_minimal': False, 'target_label': '567.2.e.f.163.5', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35361925
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 37, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504080697262269, 'target_is_minimal': False, 'target_label': '189.2.h.b.37.5', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35361926
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 58, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262143, 'target_is_minimal': True, 'target_label': '63.2.h.b.58.1', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35361927
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 163, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420943927, 'target_is_minimal': False, 'target_label': '567.2.e.e.163.1', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35361928
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 961, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36030102722577392, 'target_is_minimal': False, 'target_label': '1008.2.t.i.961.3', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35361929
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 295, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014742140420537, 'target_is_minimal': False, 'target_label': '441.2.f.e.295.5', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35361930
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 295, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518341767791033, 'target_is_minimal': False, 'target_label': '441.2.f.f.295.5', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35361931
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 25, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262143, 'target_is_minimal': True, 'target_label': '63.2.h.b.25.1', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35361932
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 214, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518479206744505, 'target_is_minimal': False, 'target_label': '441.2.h.f.214.1', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35361933
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518410487267769, 'target_is_minimal': False, 'target_label': '441.2.g.f.79.5', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35361934
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 2881, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029896564149200, 'target_is_minimal': False, 'target_label': '3024.2.q.i.2881.2', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35361935
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 625, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029896564147184, 'target_is_minimal': False, 'target_label': '1008.2.q.i.625.4', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35361936
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 2305, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029896564149200, 'target_is_minimal': False, 'target_label': '3024.2.q.i.2305.2', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35361937
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717820801, 'target_is_minimal': False, 'target_label': '3969.2.a.z.1.1', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35361938
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 172, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785533, 'target_is_minimal': False, 'target_label': '189.2.g.b.172.1', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35361939
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 148, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518341767791033, 'target_is_minimal': False, 'target_label': '441.2.f.f.148.5', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35361940
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518273048314423, 'target_is_minimal': False, 'target_label': '567.2.e.f.487.5', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35361941
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 226, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518479206745387, 'target_is_minimal': False, 'target_label': '1323.2.h.f.226.5', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35361942
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 126100789599932289, 'target_is_minimal': False, 'target_label': '3969.2.a.bc.1.5', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35361943
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 148, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014742140420537, 'target_is_minimal': False, 'target_label': '441.2.f.e.148.5', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35361944
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420943927, 'target_is_minimal': False, 'target_label': '567.2.e.e.487.1', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 35361945
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 361, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268651, 'target_is_minimal': False, 'target_label': '1323.2.g.f.361.1', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35361946
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 4, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504011977785407, 'target_is_minimal': True, 'target_label': '63.2.g.b.4.5', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35361947
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 442, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791915, 'target_is_minimal': False, 'target_label': '1323.2.f.f.442.1', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 35361948
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 373, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518479206744505, 'target_is_minimal': False, 'target_label': '441.2.h.f.373.1', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35361949
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345191297, 'target_is_minimal': False, 'target_label': '3969.2.a.ba.1.1', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35361950
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 442, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140421419, 'target_is_minimal': False, 'target_label': '1323.2.f.e.442.1', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35361951
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 67, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518410487267769, 'target_is_minimal': False, 'target_label': '441.2.g.f.67.5', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35361952
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 121597189972561793, 'target_is_minimal': False, 'target_label': '3969.2.a.bb.1.5', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 35361953
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 529, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029896564147184, 'target_is_minimal': False, 'target_label': '1008.2.q.i.529.4', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35361954
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 1873, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722579408, 'target_is_minimal': False, 'target_label': '3024.2.t.i.1873.4', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '252.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 35361955
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785533, 'source_is_minimal': False, 'source_label': '189.2.g.b.100.1', 'source_level': 189, 'target_conrey_index': 193, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36030102722577392, 'target_is_minimal': False, 'target_label': '1008.2.t.i.193.3', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.5', 'twist_class_level': 63, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 472800
{'charpoly_factorization': [[[9, 9, 36, 3, 90, 36, 40, 8, 9, 2, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 2}
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id: 472801
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 4504011977785533, 'p': 3}
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id: 472802
{'charpoly_factorization': [[[-3, 18, 18, -5, -4, 1], 2]], 'hecke_orbit_code': 4504011977785533, 'p': 5}
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id: 472803
{'charpoly_factorization': [[[16807, 2401, -4116, 392, 434, -75, 62, 8, -12, 1, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 7}
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id: 472804
{'charpoly_factorization': [[[-15, 12, 15, -8, -4, 1], 2]], 'hecke_orbit_code': 4504011977785533, 'p': 11}
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id: 472805
{'charpoly_factorization': [[[25, -115, 594, 169, 428, 204, 296, 130, 51, 8, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 13}
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id: 472806
{'charpoly_factorization': [[[81, -162, 864, 1890, 2898, 2259, 1287, 420, 99, 12, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 17}
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id: 472807
{'charpoly_factorization': [[[185761, 111629, 86907, 23428, 13166, 2835, 1376, 133, 42, -1, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 19}
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id: 472808
{'charpoly_factorization': [[[1611, 1080, 51, -63, -3, 1], 2]], 'hecke_orbit_code': 4504011977785533, 'p': 23}
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id: 472809
{'charpoly_factorization': [[[81, -1215, 19710, 22635, 24462, 5199, 1690, 190, 69, 7, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 29}
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id: 472810
{'charpoly_factorization': [[[81225, 26505, 26889, 6018, 5194, 1071, 540, 65, 30, 3, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 31}
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id: 472811
{'charpoly_factorization': [[[82944, 110592, 228096, -52224, 115264, 27168, 8832, 560, 96, 0, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 37}
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id: 472812
{'charpoly_factorization': [[[2025, 7695, 31536, -4761, 9900, 579, 2020, -118, 69, 5, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 41}
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id: 472813
{'charpoly_factorization': [[[687241, 1214485, 1541055, 921888, 408318, 84651, 14496, 837, 138, 7, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 43}
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id: 472814
{'charpoly_factorization': [[[43758225, 26671680, 16872219, 2443014, 1046070, 230922, 46890, 5565, 516, 27, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 47}
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id: 472815
{'charpoly_factorization': [[[178929, -178929, 267759, -25380, 110088, -45693, 14238, -2415, 306, -21, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 53}
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id: 472816
{'charpoly_factorization': [[[31640625, 607500, 6272289, 3322296, 1440567, 341433, 60354, 6954, 594, 30, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 59}
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id: 472817
{'charpoly_factorization': [[[1, 14, 189, 166, 539, 153, 1268, 490, 162, 14, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 61}
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id: 472818
{'charpoly_factorization': [[[50708641, 48308864, 48443796, 584566, 1478510, 49005, 35105, 274, 207, 2, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 67}
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id: 472819
{'charpoly_factorization': [[[81, 1053, 567, -168, -3, 1], 2]], 'hecke_orbit_code': 4504011977785533, 'p': 71}
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id: 472820
{'charpoly_factorization': [[[772641, 1052163, 1048686, 533637, 211336, 34167, 5394, -784, 231, -15, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 73}
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id: 472821
{'charpoly_factorization': [[[37249, 4246, 43716, -41598, 48858, -21297, 8151, -828, 111, 4, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 79}
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id: 472822
{'charpoly_factorization': [[[218123361, -40275063, 38540043, 11237130, 3795093, 455571, 56277, 2538, 267, 9, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 83}
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id: 472823
{'charpoly_factorization': [[[7080921, 4502412, 3980484, 540030, 648528, 190791, 45157, 5740, 549, 28, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 89}
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id: 472824
{'charpoly_factorization': [[[2307745521, 121346514, 94916553, 9179814, 3183925, 252807, 40326, 1958, 288, 12, 1], 1]], 'hecke_orbit_code': 4504011977785533, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '189.2.g.b', '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: 87978000
{'hecke_orbit_code': 4504011977785533, 'n': 1, 'trace_an': 10}
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id: 87978001
{'hecke_orbit_code': 4504011977785533, 'n': 2, 'trace_an': -2}
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id: 87978002
{'hecke_orbit_code': 4504011977785533, 'n': 3, 'trace_an': 0}
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id: 87978003
{'hecke_orbit_code': 4504011977785533, 'n': 4, 'trace_an': -4}
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id: 87978004
{'hecke_orbit_code': 4504011977785533, 'n': 5, 'trace_an': 8}
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id: 87978005
{'hecke_orbit_code': 4504011977785533, 'n': 6, 'trace_an': 0}
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id: 87978006
{'hecke_orbit_code': 4504011977785533, 'n': 7, 'trace_an': -1}
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id: 87978007
{'hecke_orbit_code': 4504011977785533, 'n': 8, 'trace_an': 6}
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id: 87978008
{'hecke_orbit_code': 4504011977785533, 'n': 9, 'trace_an': 0}
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id: 87978009
{'hecke_orbit_code': 4504011977785533, 'n': 10, 'trace_an': -7}
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id: 87978010
{'hecke_orbit_code': 4504011977785533, 'n': 11, 'trace_an': 8}
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id: 87978011
{'hecke_orbit_code': 4504011977785533, 'n': 12, 'trace_an': 0}
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id: 87978012
{'hecke_orbit_code': 4504011977785533, 'n': 13, 'trace_an': -8}
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id: 87978013
{'hecke_orbit_code': 4504011977785533, 'n': 14, 'trace_an': -16}
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id: 87978014
{'hecke_orbit_code': 4504011977785533, 'n': 15, 'trace_an': 0}
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id: 87978015
{'hecke_orbit_code': 4504011977785533, 'n': 16, 'trace_an': 2}
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id: 87978016
{'hecke_orbit_code': 4504011977785533, 'n': 17, 'trace_an': -12}
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id: 87978017
{'hecke_orbit_code': 4504011977785533, 'n': 18, 'trace_an': 0}
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id: 87978018
{'hecke_orbit_code': 4504011977785533, 'n': 19, 'trace_an': 1}
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id: 87978019
{'hecke_orbit_code': 4504011977785533, 'n': 20, 'trace_an': -5}
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id: 87978020
{'hecke_orbit_code': 4504011977785533, 'n': 21, 'trace_an': 0}
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id: 87978021
{'hecke_orbit_code': 4504011977785533, 'n': 22, 'trace_an': -1}
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id: 87978022
{'hecke_orbit_code': 4504011977785533, 'n': 23, 'trace_an': 6}
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id: 87978023
{'hecke_orbit_code': 4504011977785533, 'n': 24, 'trace_an': 0}
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id: 87978024
{'hecke_orbit_code': 4504011977785533, 'n': 25, 'trace_an': 2}
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id: 87978025
{'hecke_orbit_code': 4504011977785533, 'n': 26, 'trace_an': -11}
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id: 87978026
{'hecke_orbit_code': 4504011977785533, 'n': 27, 'trace_an': 0}
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id: 87978027
{'hecke_orbit_code': 4504011977785533, 'n': 28, 'trace_an': -2}
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id: 87978028
{'hecke_orbit_code': 4504011977785533, 'n': 29, 'trace_an': -7}
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id: 87978029
{'hecke_orbit_code': 4504011977785533, 'n': 30, 'trace_an': 0}
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id: 87978030
{'hecke_orbit_code': 4504011977785533, 'n': 31, 'trace_an': -3}
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id: 87978031
{'hecke_orbit_code': 4504011977785533, 'n': 32, 'trace_an': 2}
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id: 87978032
{'hecke_orbit_code': 4504011977785533, 'n': 33, 'trace_an': 0}
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id: 87978033
{'hecke_orbit_code': 4504011977785533, 'n': 34, 'trace_an': 3}
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id: 87978034
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