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mf_newforms • Show schema
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{'Nk2': 1944, 'analytic_conductor': 3.8807295382342266, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [486, 9, [245], [8]], 'cm_discs': [], 'conrey_index': 55, 'dim': 12, 'field_disc': 40419192196881, 'field_disc_factorization': [[3, 18], [17, 2], [19, 2]], 'field_poly': [57, -342, 936, -1584, 1905, -1698, 1225, -678, 318, -110, 33, -6, 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, [5184, 7776, 14256, 9936, 4536, -1458, 1215, -351, -108, 78, 0, -6, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055334, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 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mf_hecke_cc • Show schema
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'conrey_index': 109, 'dual_conrey_index': 379, 'dual_embedding_index': 1, 'dual_embedding_m': 9, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': -1.7409487199712304, 'embedding_root_real': 0.5, 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055334, 'label': '486.2.e.h.109.1', 'level': 486, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1944, 'analytic_conductor': 3.8807295382342266, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [486, 9, [245], [8]], 'conrey_index': 55, 'cusp_dim': 378, 'dim': 72, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461862, 'hecke_orbit_dims': [6, 6, 6, 6, 12, 12, 12, 12], 'label': '486.2.e', 'level': 486, '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], 'level_radical': 6, 'mf_dim': 594, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 162, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, -54, 0, 0, -72, 0, 0, -72, 0, 0, -36, 0, 0, -144, 0, 0, 0, 0, 0, -144, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -54, 0, 0, -36, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 90, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 108, 0, 0, 0, 0, 0, 72, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -216, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -36, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 72, 0, 0, 0, 0, 0, 126, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 144, 0, 0, -72, 0, 0, -216, 0, 0, 108, 0, 0, -180, 0, 0, 0, 0, 0, 216, 0, 0, -216, 0, 0, -162, 0, 0, 144, 0, 0, -144, 0, 0, -216, 0, 0, 216, 0, 0, 0, 0, 0, -108, 0, 0, 108, 0, 0, -72, 0, 0, -54, 0, 0, 144, 0, 0, 36, 0, 0, 216, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, -36, 0, 0, 18, 0, 0, 180, 0, 0, 0, 0, 0, 144, 0, 0, 18, 0, 0, -72, 0, 0, 108, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 144, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, -72, 0, 0, 108, 0, 0, 144, 0, 0, 0, 0, 0, 180, 0, 0, 108, 0, 0, -36, 0, 0, 72, 0, 0, 216, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, -432, 0, 0, -144, 0, 0, -144, 0, 0, 0, 0, 0, -180, 0, 0, -288, 0, 0, 0, 0, 0, -72, 0, 0, -252, 0, 0, -432, 0, 0, -270, 0, 0, -72, 0, 0, 0, 0, 0, -270, 0, 0, -180, 0, 0, 0, 0, 0, -252, 0, 0, -108, 0, 0, -432, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 108, 0, 0, 126, 0, 0, -54, 0, 0, 0, 0, 0, -72, 0, 0, 126, 0, 0, 216, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 90, 0, 0, 432, 0, 0, 252, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 216, 0, 0, 72, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 36, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -72, 0, 0, -72, 0, 0, 0, 0, 0, 18, 0, 0, -54, 0, 0, -216, 0, 0, -108, 0, 0, -198, 0, 0, -504, 0, 0, -288, 0, 0, -324, 0, 0, 0, 0, 0, -306, 0, 0, -252, 0, 0, -504, 0, 0, -180, 0, 0, -72, 0, 0, -216, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -108, 0, 0, -72, 0, 0, -72, 0, 0, 180, 0, 0, 0, 0, 0, -72, 0, 0, 72, 0, 0, 306, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, 0, 0, 0, 252, 0, 0, 360, 0, 0, 0, 0, 0, 378, 0, 0, 234, 0, 0, -216, 0, 0, 144, 0, 0, 468, 0, 0, 0, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 216, 0, 0, 252, 0, 0, 72, 0, 0, 288, 0, 0, 36, 0, 0, 216, 0, 0, -36, 0, 0, 72, 0, 0, 216, 0, 0, 72, 0, 0, -36, 0, 0, 1008, 0, 0, -162, 0, 0, 0, 0, 0, 108, 0, 0, -144, 0, 0, -180, 0, 0, 432, 0, 0, -36, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, -72, 0, 0, 432, 0, 0, -180, 0, 0, -252, 0, 0, 108, 0, 0, 0, 0, 0, -144, 0, 0, 1008, 0, 0, -144, 0, 0, -108, 0, 0, 216, 0, 0, -396, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -144, 0, 0, 72, 0, 0, 36, 0, 0, 288, 0, 0, -432, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, 0, 0, 0, 288, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, -432, 0, 0, 0, 0, 0, -108, 0, 0, -216, 0, 0, -180, 0, 0, -144, 0, 0, -216, 0, 0, -36, 0, 0, -468, 0, 0, 0, 0, 0, -414, 0, 0, -216, 0, 0, -864, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, 0, 0, 0, -180, 0, 0, -180, 0, 0, -432, 0, 0, -180, 0, 0, -180, 0, 0, 0, 0, 0, 72, 0, 0, -162, 0, 0, 0, 0, 0, 162, 0, 0, -180, 0, 0, -720, 0, 0, -144, 0, 0, 108, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 180, 0, 0, -216, 0, 0, 468, 0, 0, 108, 0, 0, 216, 0, 0, 396, 0, 0, 360, 0, 0, 0, 0, 0, 396, 0, 0, 396, 0, 0, 144, 0, 0, 36, 0, 0, 504, 0, 0, 0, 0, 0, 504, 0, 0, 180, 0, 0, 144, 0, 0, 216, 0, 0, 360, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46265727
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.109.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46265728
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.109.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46265729
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 433, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.433.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46265730
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 13, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.13.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46265731
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 91, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.91.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46265732
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 433, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.433.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46265733
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.55.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46265734
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597797778866, 'target_is_minimal': False, 'target_label': '1458.2.a.g.1.5', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46265735
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.973.5', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46265736
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 25, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.25.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46265737
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.379.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46265738
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.487.2', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46265739
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.487.5', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46265740
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.379.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46265741
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 73, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.73.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46265742
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.973.2', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46265743
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170408370, 'target_is_minimal': False, 'target_label': '1458.2.a.f.1.2', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46265744
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.55.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 46265745
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 337, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.337.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46265746
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055334, 'source_is_minimal': False, 'source_label': '486.2.e.h.109.1', 'source_level': 486, 'target_conrey_index': 241, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.241.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '108.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 954275
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 2]], 'hecke_orbit_code': 31525472303055334, 'p': 2}
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id: 954276
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31525472303055334, 'p': 3}
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id: 954277
{'charpoly_factorization': [[[5184, 7776, 14256, 9936, 4536, -1458, 1215, -351, -108, 78, 0, -6, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 5}
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id: 954278
{'charpoly_factorization': [[[64, -192, 2352, -13016, 17856, 14634, 3189, 558, 270, 34, 6, 3, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 7}
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id: 954279
{'charpoly_factorization': [[[81, 486, 1863, 10665, 26406, -28917, 9234, -1080, 216, -57, 27, -6, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 11}
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id: 954280
{'charpoly_factorization': [[[23104, -12768, -30144, 66904, 75924, -8784, 6321, 702, 306, 151, 30, 6, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 13}
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id: 954281
{'charpoly_factorization': [[[110889, 125874, 157869, 70902, 57915, 21546, 15012, 3294, 1161, 156, 54, 6, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 17}
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id: 954282
{'charpoly_factorization': [[[94249, 48813, 83304, 43015, 53721, 24300, 13911, 3204, 1269, 265, 78, 9, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 19}
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id: 954283
{'charpoly_factorization': [[[5184, 62208, 181440, -229608, 130896, 164592, 105057, 39636, 10962, 2001, 270, 24, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 23}
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id: 954284
{'charpoly_factorization': [[[5184, 0, -1296, -3672, 27864, -19602, 20979, -5373, 324, -138, 18, 12, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 29}
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id: 954285
{'charpoly_factorization': [[[4032064, 6722784, -1255824, -3896048, 3265056, -1420686, 447879, -110835, 21573, -3224, 378, -27, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 31}
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id: 954286
{'charpoly_factorization': [[[142659136, 12039552, 37636368, 16521520, 10227924, 2696346, 682809, 92988, 15381, 1642, 225, 15, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 37}
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id: 954287
{'charpoly_factorization': [[[2653641, -1231524, 372195, 20871, -87075, 20979, 6075, -2943, 972, -84, 0, 3, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 41}
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id: 954288
{'charpoly_factorization': [[[49674304, 55312704, 22649184, 5780752, 1964016, 304218, 272541, 86742, 17028, 2536, 324, 27, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 43}
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id: 954289
{'charpoly_factorization': [[[419904, 419904, 1889568, 373248, -227448, -383454, 235467, -70227, 22032, -4626, 558, -36, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 47}
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id: 954290
{'charpoly_factorization': [[[-72, -216, 414, 3, -63, 6, 1], 2]], 'hecke_orbit_code': 31525472303055334, 'p': 53}
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id: 954291
{'charpoly_factorization': [[[82464561, -89493255, 82807758, -43706682, 13284972, -1618623, -82215, 43281, -27, -105, 27, -12, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 59}
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id: 954292
{'charpoly_factorization': [[[1000000, 2700000, 900000, -1865000, 989100, -261000, 48009, -5679, 1395, -812, 198, -9, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 61}
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id: 954293
{'charpoly_factorization': [[[249393368449, 75890257245, 14812357860, 2410211860, 339785766, 43489953, 5948319, 825633, 103518, 11068, 900, 45, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 67}
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id: 954294
{'charpoly_factorization': [[[488586816, 279306144, 190304640, 25589304, 12450672, -430434, 867051, -58347, 16875, -978, 225, -12, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 71}
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id: 954295
{'charpoly_factorization': [[[72361, -97647, 266538, -133943, 477801, -336762, 310857, -50616, 14427, 2245, 390, 21, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 73}
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id: 954296
{'charpoly_factorization': [[[591851584, 291936, -14350080, -31055240, -4208148, 2291904, 1882281, 297846, 11250, 106, 84, -3, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 79}
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id: 954297
{'charpoly_factorization': [[[13756474944, 11362392288, 4844852352, 1220561784, 220563324, 25156332, 1377081, -72414, -19764, -1305, 72, 18, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 83}
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id: 954298
{'charpoly_factorization': [[[126899100441, 15841147401, 9280898919, 590870484, 417935295, 23500206, 8737335, -121851, 77706, -978, 414, -12, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 89}
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id: 954299
{'charpoly_factorization': [[[373532435929, 223373952732, 66233297418, 14251428952, 2510579970, 334318455, 30926100, 1894662, 78354, 2482, 129, 15, 1], 1]], 'hecke_orbit_code': 31525472303055334, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '486.2.e.h', 'level': 486, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 49893307
{'hecke_orbit_code': 31525472303055334, 'n': 1, 'trace_an': 12}
-
id: 49893308
{'hecke_orbit_code': 31525472303055334, 'n': 2, 'trace_an': 0}
-
id: 49893309
{'hecke_orbit_code': 31525472303055334, 'n': 3, 'trace_an': 0}
-
id: 49893310
{'hecke_orbit_code': 31525472303055334, 'n': 4, 'trace_an': 0}
-
id: 49893311
{'hecke_orbit_code': 31525472303055334, 'n': 5, 'trace_an': 6}
-
id: 49893312
{'hecke_orbit_code': 31525472303055334, 'n': 6, 'trace_an': 0}
-
id: 49893313
{'hecke_orbit_code': 31525472303055334, 'n': 7, 'trace_an': -3}
-
id: 49893314
{'hecke_orbit_code': 31525472303055334, 'n': 8, 'trace_an': -6}
-
id: 49893315
{'hecke_orbit_code': 31525472303055334, 'n': 9, 'trace_an': 0}
-
id: 49893316
{'hecke_orbit_code': 31525472303055334, 'n': 10, 'trace_an': -3}
-
id: 49893317
{'hecke_orbit_code': 31525472303055334, 'n': 11, 'trace_an': 6}
-
id: 49893318
{'hecke_orbit_code': 31525472303055334, 'n': 12, 'trace_an': 0}
-
id: 49893319
{'hecke_orbit_code': 31525472303055334, 'n': 13, 'trace_an': -6}
-
id: 49893320
{'hecke_orbit_code': 31525472303055334, 'n': 14, 'trace_an': 6}
-
id: 49893321
{'hecke_orbit_code': 31525472303055334, 'n': 15, 'trace_an': 0}
-
id: 49893322
{'hecke_orbit_code': 31525472303055334, 'n': 16, 'trace_an': 0}
-
id: 49893323
{'hecke_orbit_code': 31525472303055334, 'n': 17, 'trace_an': -6}
-
id: 49893324
{'hecke_orbit_code': 31525472303055334, 'n': 18, 'trace_an': 0}
-
id: 49893325
{'hecke_orbit_code': 31525472303055334, 'n': 19, 'trace_an': -9}
-
id: 49893326
{'hecke_orbit_code': 31525472303055334, 'n': 20, 'trace_an': -3}
-
id: 49893327
{'hecke_orbit_code': 31525472303055334, 'n': 21, 'trace_an': 0}
-
id: 49893328
{'hecke_orbit_code': 31525472303055334, 'n': 22, 'trace_an': 6}
-
id: 49893329
{'hecke_orbit_code': 31525472303055334, 'n': 23, 'trace_an': -24}
-
id: 49893330
{'hecke_orbit_code': 31525472303055334, 'n': 24, 'trace_an': 0}
-
id: 49893331
{'hecke_orbit_code': 31525472303055334, 'n': 25, 'trace_an': 36}
-
id: 49893332
{'hecke_orbit_code': 31525472303055334, 'n': 26, 'trace_an': 18}
-
id: 49893333
{'hecke_orbit_code': 31525472303055334, 'n': 27, 'trace_an': 0}
-
id: 49893334
{'hecke_orbit_code': 31525472303055334, 'n': 28, 'trace_an': 12}
-
id: 49893335
{'hecke_orbit_code': 31525472303055334, 'n': 29, 'trace_an': -12}
-
id: 49893336
{'hecke_orbit_code': 31525472303055334, 'n': 30, 'trace_an': 0}
-
id: 49893337
{'hecke_orbit_code': 31525472303055334, 'n': 31, 'trace_an': 27}
-
id: 49893338
{'hecke_orbit_code': 31525472303055334, 'n': 32, 'trace_an': 0}
-
id: 49893339
{'hecke_orbit_code': 31525472303055334, 'n': 33, 'trace_an': 0}
-
id: 49893340
{'hecke_orbit_code': 31525472303055334, 'n': 34, 'trace_an': 3}
-
id: 49893341
{'hecke_orbit_code': 31525472303055334, 'n': 35, 'trace_an': 3}
-
id: 49893342
{'hecke_orbit_code': 31525472303055334, 'n': 36, 'trace_an': 0}
-
id: 49893343
{'hecke_orbit_code': 31525472303055334, 'n': 37, 'trace_an': -15}
-
id: 49893344
{'hecke_orbit_code': 31525472303055334, 'n': 38, 'trace_an': 12}
-
id: 49893345
{'hecke_orbit_code': 31525472303055334, 'n': 39, 'trace_an': 0}
-
id: 49893346
{'hecke_orbit_code': 31525472303055334, 'n': 40, 'trace_an': -3}
-
id: 49893347
{'hecke_orbit_code': 31525472303055334, 'n': 41, 'trace_an': -3}
-
id: 49893348
{'hecke_orbit_code': 31525472303055334, 'n': 42, 'trace_an': 0}
-
id: 49893349
{'hecke_orbit_code': 31525472303055334, 'n': 43, 'trace_an': -27}
-
id: 49893350
{'hecke_orbit_code': 31525472303055334, 'n': 44, 'trace_an': -3}
-
id: 49893351
{'hecke_orbit_code': 31525472303055334, 'n': 45, 'trace_an': 0}
-
id: 49893352
{'hecke_orbit_code': 31525472303055334, 'n': 46, 'trace_an': 3}
-
id: 49893353
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{'hecke_orbit_code': 31525472303055334, 'n': 887, 'trace_an': 33}
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id: 49893550
{'hecke_orbit_code': 31525472303055334, 'n': 907, 'trace_an': -51}
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id: 49893551
{'hecke_orbit_code': 31525472303055334, 'n': 911, 'trace_an': -72}
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id: 49893552
{'hecke_orbit_code': 31525472303055334, 'n': 919, 'trace_an': -12}
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id: 49893553
{'hecke_orbit_code': 31525472303055334, 'n': 929, 'trace_an': 0}
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id: 49893554
{'hecke_orbit_code': 31525472303055334, 'n': 937, 'trace_an': 21}
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id: 49893555
{'hecke_orbit_code': 31525472303055334, 'n': 941, 'trace_an': -6}
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id: 49893556
{'hecke_orbit_code': 31525472303055334, 'n': 947, 'trace_an': -54}
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id: 49893557
{'hecke_orbit_code': 31525472303055334, 'n': 953, 'trace_an': 90}
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id: 49893558
{'hecke_orbit_code': 31525472303055334, 'n': 961, 'trace_an': -27}
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id: 49893559
{'hecke_orbit_code': 31525472303055334, 'n': 967, 'trace_an': -126}
-
id: 49893560
{'hecke_orbit_code': 31525472303055334, 'n': 971, 'trace_an': 306}
-
id: 49893561
{'hecke_orbit_code': 31525472303055334, 'n': 977, 'trace_an': 39}
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id: 49893562
{'hecke_orbit_code': 31525472303055334, 'n': 983, 'trace_an': 12}
-
id: 49893563
{'hecke_orbit_code': 31525472303055334, 'n': 991, 'trace_an': 60}
-
id: 49893564
{'hecke_orbit_code': 31525472303055334, 'n': 997, 'trace_an': -99}