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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [2, 2]], 'cm_discs': [], 'conrey_index': 865, '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': [[5, [9, -3, 1]], [11, [9, 3, 1]], [17, [36, -6, 1]], [23, [36, 6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685486, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 8, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1134.2.e.g', 'level': 1134, '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, 7], 'level_radical': 42, 'minimal_twist': '126.2.g.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 8, 'qexp_display': 'q-q^{2}+q^{4}+(3-3\\zeta_{6})q^{5}+(2+\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1134.2.e', 'trace_display': [-2, 0, 3, 5], 'trace_hash': 2033618392633086920, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.801', 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mf_hecke_cc • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [2, 2]], 'conrey_index': 865, 'cusp_dim': 384, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 23], 'hecke_orbit_code': 274911462510, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 8, 8], 'label': '1134.2.e', 'level': 1134, '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, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 8, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 7, 'trace_display': [0, 0, 0, 10], 'traces': [64, 0, 0, 64, 0, 0, 10, 0, 0, 0, 0, 0, -10, 0, 0, 64, 0, 0, 20, 0, 0, 0, 0, 0, -32, 0, 0, 10, 0, 0, 20, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -10, 0, 0, 12, 0, 0, -2, 0, 0, -10, 0, 0, 60, 0, 0, -30, 0, 0, -28, 0, 0, 64, 0, 0, -4, 0, 0, 54, 0, 0, -4, 0, 0, 20, 0, 0, 128, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 8, 0, 0, 48, 0, 0, -10, 0, 0, -32, 0, 0, 62, 0, 0, 0, 0, 0, -22, 0, 0, 10, 0, 0, 0, 0, 0, 60, 0, 0, -56, 0, 0, 20, 0, 0, 68, 0, 0, 48, 0, 0, -52, 0, 0, 0, 0, 0, 26, 0, 0, 48, 0, 0, -60, 0, 0, -10, 0, 0, -46, 0, 0, -84, 0, 0, -88, 0, 0, 0, 0, 0, 26, 0, 0, 12, 0, 0, -102, 0, 0, -10, 0, 0, -146, 0, 0, 24, 0, 0, -304, 0, 0, 12, 0, 0, -72, 0, 0, -72, 0, 0, -196, 0, 0, -2, 0, 0, -142, 0, 0, -48, 0, 0, -216, 0, 0, -10, 0, 0, -94, 0, 0, 72, 0, 0, -52, 0, 0, 60, 0, 0, 26, 0, 0, -24, 0, 0, 2, 0, 0, -30, 0, 0, 12, 0, 0, -36, 0, 0, -124, 0, 0, -28, 0, 0, -32, 0, 0, -192, 0, 0, -168, 0, 0, 64, 0, 0, 212, 0, 0, 0, 0, 0, 96, 0, 0, -4, 0, 0, 2, 0, 0, 24, 0, 0, 26, 0, 0, 54, 0, 0, 164, 0, 0, 0, 0, 0, 40, 0, 0, -4, 0, 0, 36, 0, 0, -24, 0, 0, 14, 0, 0, 20, 0, 0, 236, 0, 0, 30, 0, 0, 80, 0, 0, 128, 0, 0, 24, 0, 0, -144, 0, 0, -10, 0, 0, 0, 0, 0, -232, 0, 0, 48, 0, 0, 170, 0, 0, -24, 0, 0, -56, 0, 0, -312, 0, 0, -46, 0, 0, 0, 0, 0, 36, 0, 0, 96, 0, 0, 48, 0, 0, 8, 0, 0, 92, 0, 0, -96, 0, 0, 224, 0, 0, 48, 0, 0, 68, 0, 0, -72, 0, 0, -54, 0, 0, -10, 0, 0, -96, 0, 0, -216, 0, 0, 14, 0, 0, -32, 0, 0, 238, 0, 0, -84, 0, 0, 20, 0, 0, 62, 0, 0, -102, 0, 0, -156, 0, 0, 152, 0, 0, 0, 0, 0, 98, 0, 0, -36, 0, 0, -76, 0, 0, -22, 0, 0, 392, 0, 0, -240, 0, 0, 96, 0, 0, 10, 0, 0, 300, 0, 0, -102, 0, 0, 164, 0, 0, 0, 0, 0, 128, 0, 0, -60, 0, 0, 194, 0, 0, 60, 0, 0, 152, 0, 0, 120, 0, 0, -98, 0, 0, -56, 0, 0, 74, 0, 0, -90, 0, 0, 48, 0, 0, 20, 0, 0, -10, 0, 0, -12, 0, 0, -84, 0, 0, 68, 0, 0, -244, 0, 0, 24, 0, 0, 36, 0, 0, 48, 0, 0, -82, 0, 0, 12, 0, 0, -176, 0, 0, -52, 0, 0, -168, 0, 0, -54, 0, 0, 164, 0, 0, 0, 0, 0, 86, 0, 0, 66, 0, 0, 98, 0, 0, 26, 0, 0, 76, 0, 0, 48, 0, 0, 24, 0, 0, 48, 0, 0, -160, 0, 0, -60, 0, 0, -160, 0, 0, -60, 0, 0, -156, 0, 0, -54, 0, 0, -20, 0, 0, -10, 0, 0, 108, 0, 0, 168, 0, 0, -142, 0, 0, -46, 0, 0, 50, 0, 0, -144, 0, 0, -22, 0, 0, -84, 0, 0, -82, 0, 0, 144, 0, 0, -152, 0, 0, -88, 0, 0, 44, 0, 0, -192, 0, 0, 194, 0, 0, 0, 0, 0, 302, 0, 0, 240, 0, 0, -84, 0, 0, 26, 0, 0, 66, 0, 0, 372, 0, 0, 32, 0, 0, 12, 0, 0, 72, 0, 0, 252, 0, 0, 272, 0, 0, -102, 0, 0, 440, 0, 0, 12, 0, 0, 552, 0, 0, -10, 0, 0, 44, 0, 0, 264, 0, 0, 144, 0, 0, -146, 0, 0, 160, 0, 0, 0, 0, 0, 236, 0, 0, 24, 0, 0, -60, 0, 0, 48, 0, 0, -178, 0, 0, -304, 0, 0, -46, 0, 0, 18, 0, 0, -58, 0, 0, 12, 0, 0, -46, 0, 0, 186, 0, 0, 318, 0, 0, -72, 0, 0, 140, 0, 0, 192, 0, 0, -220, 0, 0, -72, 0, 0, 254, 0, 0, 36, 0, 0, -16, 0, 0, -196, 0, 0, 380, 0, 0, 84, 0, 0, -192, 0, 0, -2, 0, 0, -4, 0, 0, 120, 0, 0, -122, 0, 0, -142, 0, 0, -144, 0, 0, 48, 0, 0, 300, 0, 0, -48, 0, 0, -64, 0, 0, 36, 0, 0, -128, 0, 0, -216, 0, 0, 260, 0, 0, 12, 0, 0, 356, 0, 0, -10, 0, 0, 576, 0, 0, 60, 0, 0, -218, 0, 0, -94, 0, 0, 184, 0, 0, 528, 0, 0, -148, 0, 0, 72, 0, 0, -166, 0, 0, 12, 0, 0, -90, 0, 0, -52, 0, 0, -62, 0, 0, 48, 0, 0, -214, 0, 0, 60, 0, 0, -40, 0, 0, 156, 0, 0, -466, 0, 0, 26, 0, 0, -234, 0, 0, 96, 0, 0, -216, 0, 0, -24, 0, 0, -178, 0, 0, -408, 0, 0, -480, 0, 0, 2, 0, 0, -154, 0, 0, 12, 0, 0, -202, 0, 0, -30, 0, 0, -352, 0, 0, 120, 0, 0, -628, 0, 0, 12, 0, 0, -144, 0, 0, -48, 0, 0, 112, 0, 0, -36, 0, 0, -516, 0, 0, -120, 0, 0, -420, 0, 0, -124, 0, 0, -226, 0, 0, 198, 0, 0, -268, 0, 0, -28, 0, 0, -120, 0, 0, -264, 0, 0, 138, 0, 0, -32, 0, 0, -166, 0, 0, -312, 0, 0, -262, 0, 0, -192], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45778487
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 919, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685486, 'target_is_minimal': False, 'target_label': '1134.2.e.g.919.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45778488
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 919, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167470, 'target_is_minimal': False, 'target_label': '1134.2.e.k.919.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45778489
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532877716227182, 'target_is_minimal': False, 'target_label': '1134.2.h.j.109.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45778490
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518479206745198, 'target_is_minimal': False, 'target_label': '1134.2.h.f.541.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45778491
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232526462, 'target_is_minimal': True, 'target_label': '126.2.g.d.37.1', 'target_level': 126, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45778492
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414974, 'target_is_minimal': True, 'target_label': '126.2.g.a.37.1', 'target_level': 126, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45778493
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532877716227182, 'target_is_minimal': False, 'target_label': '1134.2.h.j.541.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45778494
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518479206745198, 'target_is_minimal': False, 'target_label': '1134.2.h.f.109.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45778495
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504836611507184, 'target_is_minimal': False, 'target_label': '1008.2.s.b.289.1', 'target_level': 1008, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45778496
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63051631767323632, 'target_is_minimal': False, 'target_label': '1008.2.s.o.289.1', 'target_level': 1008, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45778497
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232526462, 'target_is_minimal': True, 'target_label': '126.2.g.d.109.1', 'target_level': 126, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45778498
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148786, 'target_is_minimal': False, 'target_label': '882.2.a.h.1.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45778499
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167470, 'target_is_minimal': False, 'target_label': '1134.2.e.k.865.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45778500
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 667, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638706, 'target_is_minimal': False, 'target_label': '882.2.g.g.667.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45778501
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889778, 'target_is_minimal': False, 'target_label': '882.2.a.j.1.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45778502
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685486, 'target_is_minimal': False, 'target_label': '1134.2.e.g.865.1', 'target_level': 1134, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 45778503
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638706, 'target_is_minimal': False, 'target_label': '882.2.g.g.361.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45778504
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414974, 'target_is_minimal': True, 'target_label': '126.2.g.a.109.1', 'target_level': 126, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45778505
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037298, 'target_is_minimal': False, 'target_label': '882.2.a.e.1.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 45778506
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 667, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897714, 'target_is_minimal': False, 'target_label': '882.2.g.e.667.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 45778507
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555314, 'target_is_minimal': False, 'target_label': '882.2.a.a.1.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 45778508
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897714, 'target_is_minimal': False, 'target_label': '882.2.g.e.361.1', 'target_level': 882, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45778509
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402086288, 'target_is_minimal': False, 'target_label': '7056.2.a.by.1.1', 'target_level': 7056, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45778510
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63051631767323632, 'target_is_minimal': False, 'target_label': '1008.2.s.o.865.1', 'target_level': 1008, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '252.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 45778511
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504836611507184, 'target_is_minimal': False, 'target_label': '1008.2.s.b.865.1', 'target_level': 1008, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 45778512
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774715792, 'target_is_minimal': False, 'target_label': '7056.2.a.bx.1.1', 'target_level': 7056, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '252.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 45778513
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425154960, 'target_is_minimal': False, 'target_label': '7056.2.a.h.1.1', 'target_level': 7056, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, 'twisting_char_label': '252.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 45778514
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 919, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685486, 'source_is_minimal': False, 'source_label': '1134.2.e.g.919.1', 'source_level': 1134, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543043472, 'target_is_minimal': False, 'target_label': '7056.2.a.e.1.1', 'target_level': 7056, 'twist_class_label': '126.2.g.a.37.1', 'twist_class_level': 126, '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: 1709575
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 2}
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id: 1709576
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 3}
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id: 1709577
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 5}
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id: 1709578
{'charpoly_factorization': [[[7, -5, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 7}
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id: 1709579
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 11}
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id: 1709580
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 13}
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id: 1709581
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 17}
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id: 1709582
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 19}
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id: 1709583
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 23}
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id: 1709584
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 29}
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id: 1709585
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 31}
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id: 1709586
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 37}
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id: 1709587
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 41}
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id: 1709588
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 43}
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id: 1709589
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 47}
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id: 1709590
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 53}
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id: 1709591
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 59}
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id: 1709592
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 61}
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id: 1709593
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 67}
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id: 1709594
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 71}
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id: 1709595
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 73}
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id: 1709596
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 27021872675685486, 'p': 79}
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id: 1709597
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 83}
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id: 1709598
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 89}
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id: 1709599
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 27021872675685486, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '1134.2.e.g', 'level': 1134, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47307115
{'hecke_orbit_code': 27021872675685486, 'n': 1, 'trace_an': 2}
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id: 47307116
{'hecke_orbit_code': 27021872675685486, 'n': 2, 'trace_an': -2}
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id: 47307117
{'hecke_orbit_code': 27021872675685486, 'n': 3, 'trace_an': 0}
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id: 47307118
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