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mf_newforms • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [112, 3, [15, 85, 17], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 65, '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': [[3, [1, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416738928, 'hecke_ring_generator_nbound': 3, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [112, 3, [15, 85, 17], [3, 3, 1]], 'conrey_index': 65, 'cusp_dim': 20, 'dim': 6, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549789368432, 'hecke_orbit_dims': [2, 2, 2], 'label': '112.2.i', 'level': 112, '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, 7], 'level_radical': 14, 'mf_dim': 44, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 3, 'sturm_bound': 32, 'trace_bound': 3, 'trace_display': [0, 3, -1, 4], 'traces': [6, 0, 3, 0, -1, 0, 4, 0, -2, 0, -1, 0, -4, 0, -2, 0, -1, 0, 5, 0, -3, 0, -7, 0, 4, 0, -18, 0, -20, 0, -13, 0, 9, 0, -21, 0, 3, 0, 14, 0, -12, 0, 24, 0, 10, 0, -3, 0, 6, 0, 17, 0, 7, 0, 22, 0, 26, 0, 27, 0, 3, 0, 38, 0, -10, 0, -5, 0, 2, 0, -32, 0, -13, 0, -4, 0, 17, 0, -23, 0, -11, 0, -40, 0, 22, 0, -26, 0, -13, 0, -24, 0, 5, 0, -9, 0, -12, 0, 12, 0, -5, 0, 1, 0, -28, 0, 21, 0, -5, 0, 38, 0, -44, 0, 19, 0, -20, 0, 25, 0, 14, 0, -22, 0, 30, 0, -16, 0, 12, 0, 25, 0, -31, 0, -29, 0, 7, 0, -24, 0, -22, 0, -26, 0, 14, 0, -57, 0, -1, 0, 27, 0, 44, 0, 30, 0, 7, 0, -23, 0, 37, 0, 33, 0, 3, 0, 88, 0, 10, 0, 30, 0, 43, 0, 28, 0, -3, 0, 7, 0, 4, 0, -26, 0, 1, 0, -27, 0, 36, 0, -3, 0, -9, 0, 12, 0, 60, 0, -29, 0, -35, 0, 8, 0, -30, 0, -10, 0, 2, 0, -8, 0, -48, 0, -4, 0, -19, 0, 13, 0, -42, 0, -16, 0, -48, 0, 15, 0, -41, 0, -3, 0, 23, 0, -33, 0, -94, 0, -8, 0, 35, 0, 0, 0, -37, 0, 2, 0, 12, 0, -80, 0, -54, 0, -5, 0, 31, 0, -17, 0, 28, 0, -9, 0, 38, 0, 38, 0, 23, 0, 1, 0, 34, 0, -20, 0, 23, 0, -36, 0, 36, 0, -1, 0, 17, 0, 56, 0, 8, 0, 10, 0, 36, 0, -18, 0, -21, 0, 42, 0, 16, 0, -27, 0, 1, 0, 40, 0, 82, 0, -1, 0, -53, 0, -10, 0, -21, 0, 30, 0, -6, 0, -14, 0, -24, 0, 37, 0, -55, 0, 9, 0, 34, 0, 46, 0, -60, 0, -6, 0, -7, 0, -20, 0, -11, 0, 27, 0, 44, 0, 44, 0, 23, 0, -16, 0, -35, 0, 21, 0, 30, 0, 60, 0, -34, 0, 47, 0, 68, 0, 17, 0, -5, 0, 15, 0, -72, 0, -32, 0, 24, 0, -27, 0, 52, 0, -8, 0, -5, 0, -70, 0, 98, 0, -29, 0, 71, 0, -68, 0, -33, 0, 14, 0, -14, 0, -34, 0, -57, 0, -23, 0, 69, 0, 28, 0, -44, 0, -56, 0, 44, 0, 14, 0, -20, 0, 15, 0, -6, 0, -53, 0, -76, 0, -4, 0, 25, 0, 5, 0, -74, 0, -67, 0, -47, 0, -130, 0, -92, 0, -14, 0, -67, 0, -34, 0, 11, 0, -13, 0, -84, 0, 96, 0, 23, 0, 1, 0, -27, 0, 41, 0, -4, 0, 56, 0, -116, 0, 7, 0, 30, 0, 76, 0, 34, 0, -25, 0, 50, 0, 0, 0, 46, 0, 30, 0, 64, 0, -31, 0, 60, 0, 32, 0, 110, 0, -59, 0, -1, 0, -43, 0, -55, 0, 43, 0, 82, 0, 118, 0, -21, 0, 5, 0, 76, 0, 1, 0, 2, 0, 60, 0, 8, 0, 39, 0, -31, 0, 83, 0, 31, 0, 66, 0, -18, 0, 0, 0, -30, 0, -22, 0, -11, 0, 15, 0, 27, 0, -16, 0, -6, 0, -21, 0, -46, 0, -13, 0, 43, 0, -1, 0, 106, 0, -104, 0, 3, 0, -7, 0, -112, 0, -3, 0, 36, 0, -8, 0, -6, 0, 78, 0, 23, 0, 68, 0, 21, 0, -65, 0, 4, 0, -196, 0, -6, 0, 53, 0, -22, 0, -46, 0, 3, 0, -92, 0, 116, 0, -45, 0, 77, 0, -113, 0, 7, 0, -15, 0, -66, 0, 64, 0, -36, 0, 24, 0, -4, 0, 96, 0, -13, 0, 136, 0, -8, 0, 79, 0, -15, 0, 25, 0, -69, 0, -13, 0, 60, 0, -40, 0, -33, 0, -6, 0, -7, 0, -14, 0, -104, 0, 30, 0, -28, 0, -76, 0, -57, 0, -72, 0, -7, 0, 87, 0, -154, 0, -18, 0, 6, 0, -55, 0, -24, 0, 68, 0, 2, 0, 142, 0, -172, 0, -21, 0, 25, 0, 13, 0, 3, 0, -42, 0, 34, 0, -4, 0, 44, 0, -31, 0, 45, 0, -35, 0, 8, 0, -160, 0, -2, 0, -4, 0, -5, 0, -2, 0, 17, 0, -65, 0, 68, 0, 64, 0, -11, 0, -72, 0, 81, 0, -19, 0, -56, 0, -82, 0, 92, 0, 21, 0, -33, 0, 13, 0, 46, 0, -66, 0, 4, 0, 30, 0, -21, 0, -4, 0, -44, 0, -58, 0, 16, 0, 28, 0, -90, 0, -61, 0, -15, 0, -8, 0, -34, 0, 35, 0, 204, 0, 98, 0, 98, 0, 17, 0, 29, 0, -39, 0, 19, 0, 120, 0, 18, 0, 11, 0, 20, 0, 92, 0, 7, 0, 31, 0, 24, 0, 152, 0, 27, 0, 25, 0, 131, 0, -4, 0, -1, 0, 144, 0, -22, 0, -30, 0, 41, 0, -42, 0, 9, 0, -9, 0, -20, 0, 44, 0, 3, 0, 29, 0, -26, 0, 105, 0, -7, 0, 80, 0, 106, 0, 62, 0, -60, 0, -12, 0, -49, 0, 18, 0, 44, 0, -104, 0, -33, 0, -19, 0, -96, 0, -9, 0, -19, 0, -154, 0, -108, 0, 38, 0, 13, 0, -12, 0, 42, 0, 27, 0, -228, 0, -32, 0, -4, 0, -17, 0, -75, 0, 5, 0, 20, 0, -64, 0, 8, 0, 38, 0, 43, 0, 41, 0, 9, 0, -9, 0, -36, 0, -234, 0, -33, 0, 62, 0, -25, 0, 41, 0, 30, 0, -138, 0, 68, 0, -33, 0, -30, 0, -79, 0, 18, 0, -66, 0, 70, 0, -128, 0, -47, 0, 73, 0, -16, 0, -40, 0, 7, 0, 30, 0, 156, 0, -21, 0, -42, 0, -68, 0, -28, 0, 55, 0, -126, 0, -2, 0, -49, 0, -25, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35731296
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738928, 'target_is_minimal': False, 'target_label': '112.2.i.b.81.1', 'target_level': 112, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35731297
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67555231394694128, 'target_is_minimal': False, 'target_label': '1008.2.s.p.865.1', 'target_level': 1008, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35731298
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 25, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461404, 'target_is_minimal': True, 'target_label': '28.2.e.a.25.1', 'target_level': 28, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731299
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738928, 'target_is_minimal': False, 'target_label': '112.2.i.b.65.1', 'target_level': 112, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35731300
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778192, 'target_is_minimal': False, 'target_label': '784.2.a.g.1.1', 'target_level': 784, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731301
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666704, 'target_is_minimal': False, 'target_label': '784.2.a.d.1.1', 'target_level': 784, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35731302
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480592, 'target_is_minimal': False, 'target_label': '784.2.i.d.177.1', 'target_level': 784, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35731303
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 753, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480592, 'target_is_minimal': False, 'target_label': '784.2.i.d.753.1', 'target_level': 784, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35731304
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850752, 'target_is_minimal': False, 'target_label': '448.2.i.e.193.1', 'target_level': 448, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731305
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109760, 'target_is_minimal': False, 'target_label': '448.2.i.c.193.1', 'target_level': 448, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35731306
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063036, 'target_is_minimal': False, 'target_label': '252.2.k.c.109.1', 'target_level': 252, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35731307
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892030140, 'target_is_minimal': False, 'target_label': '700.2.r.b.249.1', 'target_level': 700, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731308
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504767892030140, 'target_is_minimal': False, 'target_label': '700.2.r.b.249.2', 'target_level': 700, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35731309
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 501, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110012, 'target_is_minimal': False, 'target_label': '700.2.i.c.501.1', 'target_level': 700, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35731310
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67555231394694128, 'target_is_minimal': False, 'target_label': '1008.2.s.p.289.1', 'target_level': 1008, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35731311
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170413968, 'target_is_minimal': False, 'target_label': '7056.2.a.f.1.1', 'target_level': 7056, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35731312
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147345296, 'target_is_minimal': False, 'target_label': '7056.2.a.bw.1.1', 'target_level': 7056, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35731313
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554628, 'target_is_minimal': False, 'target_label': '196.2.a.a.1.1', 'target_level': 196, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731314
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925124, 'target_is_minimal': False, 'target_label': '196.2.a.b.1.1', 'target_level': 196, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35731315
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461572, 'target_is_minimal': False, 'target_label': '196.2.e.a.177.1', 'target_level': 196, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35731316
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 9, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461404, 'target_is_minimal': True, 'target_label': '28.2.e.a.9.1', 'target_level': 28, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35731317
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 165, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461572, 'target_is_minimal': False, 'target_label': '196.2.e.a.165.1', 'target_level': 196, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 35731318
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525953339394268, 'target_is_minimal': False, 'target_label': '2268.2.l.h.109.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 35731319
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947800796, 'target_is_minimal': False, 'target_label': '2268.2.l.a.109.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35731320
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180964060, 'target_is_minimal': False, 'target_label': '2268.2.i.h.865.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 35731321
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789370588, 'target_is_minimal': False, 'target_label': '2268.2.i.a.865.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35731322
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208337984, 'target_is_minimal': False, 'target_label': '3136.2.a.v.1.1', 'target_level': 3136, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 35731323
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425151040, 'target_is_minimal': False, 'target_label': '3136.2.a.h.1.1', 'target_level': 3136, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '56.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35731324
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109760, 'target_is_minimal': False, 'target_label': '448.2.i.c.65.1', 'target_level': 448, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '56.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 35731325
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262528, 'target_is_minimal': False, 'target_label': '3136.2.a.k.1.1', 'target_level': 3136, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '56.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 35731326
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850752, 'target_is_minimal': False, 'target_label': '448.2.i.e.65.1', 'target_level': 448, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '56.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 35731327
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326226496, 'target_is_minimal': False, 'target_label': '3136.2.a.s.1.1', 'target_level': 3136, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '56.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 35731328
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556196, 'target_is_minimal': False, 'target_label': '1764.2.a.a.1.1', 'target_level': 1764, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35731329
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063036, 'target_is_minimal': False, 'target_label': '252.2.k.c.37.1', 'target_level': 252, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35731330
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855694052, 'target_is_minimal': False, 'target_label': '1764.2.k.b.1549.1', 'target_level': 1764, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35731331
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890660, 'target_is_minimal': False, 'target_label': '1764.2.a.j.1.1', 'target_level': 1764, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35731332
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855694052, 'target_is_minimal': False, 'target_label': '1764.2.k.b.361.1', 'target_level': 1764, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 35731333
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 2549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303059748, 'target_is_minimal': False, 'target_label': '4900.2.e.h.2549.1', 'target_level': 4900, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731334
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504767892030140, 'target_is_minimal': False, 'target_label': '700.2.r.b.149.2', 'target_level': 700, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35731335
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797782308, 'target_is_minimal': False, 'target_label': '4900.2.a.g.1.1', 'target_level': 4900, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 35731336
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189375780, 'target_is_minimal': False, 'target_label': '4900.2.a.n.1.1', 'target_level': 4900, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35731337
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 2549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930430244, 'target_is_minimal': False, 'target_label': '4900.2.e.i.2549.1', 'target_level': 4900, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 35731338
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 401, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110012, 'target_is_minimal': False, 'target_label': '700.2.i.c.401.1', 'target_level': 700, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 35731339
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 2549, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303059748, 'target_is_minimal': False, 'target_label': '4900.2.e.h.2549.2', 'target_level': 4900, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 35731340
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892030140, 'target_is_minimal': False, 'target_label': '700.2.r.b.149.1', 'target_level': 700, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 35731341
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 2549, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071930430244, 'target_is_minimal': False, 'target_label': '4900.2.e.i.2549.2', 'target_level': 4900, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '140.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 35731342
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947800796, 'target_is_minimal': False, 'target_label': '2268.2.l.a.541.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '252.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35731343
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 2053, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789370588, 'target_is_minimal': False, 'target_label': '2268.2.i.a.2053.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '252.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 35731344
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 2053, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180964060, 'target_is_minimal': False, 'target_label': '2268.2.i.h.2053.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, 'twisting_char_label': '252.191', 'twisting_conrey_index': 191, 'weight': 2}
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id: 35731345
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738928, 'source_is_minimal': False, 'source_label': '112.2.i.b.81.1', 'source_level': 112, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525953339394268, 'target_is_minimal': False, 'target_label': '2268.2.l.h.541.1', 'target_level': 2268, 'twist_class_label': '28.2.e.a.9.1', 'twist_class_level': 28, '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: 320225
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 2}
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id: 320226
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 3}
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id: 320227
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 5}
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id: 320228
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 7}
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id: 320229
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 11}
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id: 320230
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 13}
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id: 320231
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 17}
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id: 320232
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 19}
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id: 320233
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 23}
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id: 320234
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 29}
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id: 320235
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 31}
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id: 320236
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 37}
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id: 320237
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 41}
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id: 320238
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 43}
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id: 320239
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 47}
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id: 320240
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 53}
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id: 320241
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 59}
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id: 320242
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 61}
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id: 320243
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 67}
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id: 320244
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 71}
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id: 320245
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 73}
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id: 320246
{'charpoly_factorization': [[[169, 13, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 79}
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id: 320247
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 83}
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id: 320248
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 4504149416738928, 'p': 89}
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id: 320249
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4504149416738928, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '112.2.i.b', 'level': 112, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 23233135
{'hecke_orbit_code': 4504149416738928, 'n': 1, 'trace_an': 2}
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id: 23233136
{'hecke_orbit_code': 4504149416738928, 'n': 2, 'trace_an': 0}
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id: 23233137
{'hecke_orbit_code': 4504149416738928, 'n': 3, 'trace_an': 1}
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id: 23233138
{'hecke_orbit_code': 4504149416738928, 'n': 4, 'trace_an': 0}
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id: 23233139
{'hecke_orbit_code': 4504149416738928, 'n': 5, 'trace_an': -3}
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id: 23233140
{'hecke_orbit_code': 4504149416738928, 'n': 6, 'trace_an': 0}
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id: 23233141
{'hecke_orbit_code': 4504149416738928, 'n': 7, 'trace_an': 4}
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id: 23233142
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