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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 26, 'char_orbit_label': 'z', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 4]], 'cm_discs': [], 'conrey_index': 1699, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, -4, 0, 1]], [11, [36, 6, 1]], [17, [81, 0, -9, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27023315784697758, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 14, 1, 6, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 13, 3, 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': '1950.2.z.g', 'level': 1950, '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, 5, 13], 'level_radical': 390, 'minimal_twist': '78.2.e.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 14, 'qexp_display': 'q+(\\zeta_{12}-\\zeta_{12}^{3})q^{2}+(\\zeta_{12}-\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.z', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2096792608244087781, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.032', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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-0.005929289895002434, -0.2839964363772038, -0.47805480372497516, -0.45903175232065835, -0.33067982112480737, 0.07029703346795362, 0.005511452373852145, -0.480806162667558, -0.40015862064488816, 0.09289579033038257, -0.19970444078180333, -0.3497371290983357, -0.4166666666666667, -0.1412186244027208, -0.10723470029593053, -0.23556732327904845, -0.4933082595171135, -0.10486482238984346, -0.37301807250254965, -0.2118337237150528, -0.35962257384744856, 0.07180025280086699], 'char_orbit_index': 26, 'conrey_index': 1849, 'dual_conrey_index': 1699, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': -0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 7, 'hecke_orbit_code': 27023315784697758, 'label': '1950.2.z.g.1849.1', 'level': 1950, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 26, 'char_orbit_label': 'z', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 4]], 'conrey_index': 1699, 'cusp_dim': 792, 'dim': 80, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 1718020474782, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], 'label': '1950.2.z', 'level': 1950, '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, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 80, 'num_forms': 16, 'prim_orbit_index': 14, 'relative_dim': 40, 'sturm_bound': 840, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 40, 0, 0, 0, 0, 40, 0, 8, 0, 0, 16, 0, -40, 0, 0, -20, 0, 8, 0, 0, 0, 0, 28, 0, 0, -4, 0, -32, 0, 0, -56, 0, -40, 0, 0, 4, 0, -52, 0, 0, 16, 0, -8, 0, 0, 36, 0, 16, 0, 0, 0, 0, 8, 0, 0, 72, 0, 20, 0, 0, -80, 0, -48, 0, 0, 8, 0, 80, 0, 0, 20, 0, 20, 0, 0, 40, 0, -40, 0, 0, 4, 0, 48, 0, 0, -80, 0, -36, 0, 0, -32, 0, 0, 0, 0, 16, 0, -12, 0, 0, -4, 0, -36, 0, 0, 112, 0, 16, 0, 0, -32, 0, -8, 0, 0, 144, 0, -40, 0, 0, -16, 0, 8, 0, 0, 56, 0, 112, 0, 0, 16, 0, -28, 0, 0, 4, 0, -40, 0, 0, -80, 0, -52, 0, 0, -100, 0, -40, 0, 0, -56, 0, 8, 0, 0, 0, 0, -64, 0, 0, -104, 0, 24, 0, 0, 52, 0, 20, 0, 0, -48, 0, 8, 0, 0, -16, 0, 160, 0, 0, 8, 0, 40, 0, 0, 4, 0, -128, 0, 0, 48, 0, 72, 0, 0, 100, 0, -4, 0, 0, 8, 0, 120, 0, 0, 32, 0, 64, 0, 0, -32, 0, 0, 0, 0, 36, 0, -160, 0, 0, -8, 0, -24, 0, 0, -152, 0, -72, 0, 0, -4, 0, -72, 0, 0, 96, 0, -80, 0, 0, -20, 0, -80, 0, 0, -32, 0, -224, 0, 0, 96, 0, -40, 0, 0, -144, 0, -8, 0, 0, -24, 0, 32, 0, 0, 8, 0, 52, 0, 0, -40, 0, -8, 0, 0, -16, 0, 312, 0, 0, -80, 0, 0, 0, 0, 60, 0, 80, 0, 0, 128, 0, -20, 0, 0, 104, 0, 180, 0, 0, 40, 0, -28, 0, 0, 12, 0, -112, 0, 0, 76, 0, 20, 0, 0, -184, 0, 32, 0, 0, -80, 0, -80, 0, 0, -56, 0, 92, 0, 0, -64, 0, -4, 0, 0, -32, 0, -40, 0, 0, 24, 0, -32, 0, 0, 164, 0, 8, 0, 0, -16, 0, -160, 0, 0, -176, 0, 108, 0, 0, -12, 0, 32, 0, 0, -104, 0, 40, 0, 0, 88, 0, -64, 0, 0, -28, 0, 4, 0, 0, 0, 0, -20, 0, 0, -56, 0, 80, 0, 0, -64, 0, 8, 0, 0, 28, 0, 92, 0, 0, -24, 0, 8, 0, 0, 220, 0, -192, 0, 0, 8, 0, -32, 0, 0, -72, 0, 384, 0, 0, -72, 0, 16, 0, 0, 120, 0, -280, 0, 0, 288, 0, 56, 0, 0, 100, 0, 72, 0, 0, -16, 0, 72, 0, 0, -24, 0, -120, 0, 0, -16, 0, -64, 0, 0, 8, 0, 68, 0, 0, -4, 0, 144, 0, 0, 72, 0, -92, 0, 0, -32, 0, 288, 0, 0, -264, 0, 180, 0, 0, 40, 0, 0, 0, 0, 288, 0, 88, 0, 0, -80, 0, 16, 0, 0, -552, 0, 16, 0, 0, -8, 0, -48, 0, 0, 180, 0, 20, 0, 0, 36, 0, 28, 0, 0, 16, 0, 424, 0, 0, 56, 0, -96, 0, 0, 80, 0, -72, 0, 0, -32, 0, -16, 0, 0, -256, 0, -392, 0, 0, 28, 0, 152, 0, 0, -20, 0, -48, 0, 0, -24, 0, -4, 0, 0, -212, 0, 192, 0, 0, -80, 0, 24, 0, 0, -320, 0, -504, 0, 0, 80, 0, -40, 0, 0, 28, 0, -112, 0, 0, -104, 0, 40, 0, 0, -64, 0, -80, 0, 0, -24, 0, 100, 0, 0, -192, 0, 40, 0, 0, -20, 0, -160, 0, 0, 96, 0, -536, 0, 0, 96, 0, -112, 0, 0, 104, 0, -8, 0, 0, 4, 0, -24, 0, 0, -168, 0, -276, 0, 0, 28, 0, 0, 0, 0, -80, 0, -36, 0, 0, -32, 0, 152, 0, 0, 400, 0, 0, 0, 0, -120, 0, -52, 0, 0, -64, 0, -352, 0, 0, 48, 0, -20, 0, 0, 116, 0, -176, 0, 0, 52, 0, 128, 0, 0, 256, 0, 112, 0, 0, 40, 0, 112, 0, 0, 164, 0, 220, 0, 0, -336, 0, -24, 0, 0, -72, 0, 112, 0, 0, -8, 0, 188, 0, 0, -160, 0, 20, 0, 0, 128, 0, -32, 0, 0, -200, 0, 172, 0, 0, 80, 0, -32, 0, 0, -80, 0, -112, 0, 0, 24, 0, 16, 0, 0, 8, 0, 328, 0, 0, -40, 0, 40, 0, 0, 304, 0, -24, 0, 0, -104, 0, -4, 0, 0, 224, 0, 312, 0, 0, 128, 0, -400, 0, 0, -388, 0, 16, 0, 0, 24, 0, 24, 0, 0, 240, 0, 16, 0, 0, 36, 0, -128, 0, 0, -64, 0, 160, 0, 0, 496, 0, -100, 0, 0, 208, 0, -160, 0, 0, 4, 0, 144, 0, 0, -428, 0, 696, 0, 0, 208, 0, -8, 0, 0, -12, 0, -24, 0, 0, 240, 0, -88, 0, 0, 104, 0, 168, 0, 0, 64, 0, 16, 0, 0, 184, 0, 204, 0, 0, 128, 0, -64, 0, 0, -152, 0, 64, 0, 0, 8, 0, 32, 0, 0, 24, 0, 128, 0, 0, 0, 0, 488, 0, 0, 264, 0, 244, 0, 0, 160, 0, 72, 0, 0, -32, 0, -196, 0, 0, -140, 0, -80, 0, 0, 120, 0, 8, 0, 0, -88, 0, -16, 0, 0, -320, 0, 60, 0, 0, -12, 0, 120, 0, 0, -24, 0, -672, 0, 0, 244, 0, -76, 0, 0, 332, 0, 88, 0, 0, -144, 0, -32, 0, 0, 36, 0, -608, 0, 0, 80, 0, -32, 0, 0, 172, 0, 336, 0, 0, -144, 0, -8, 0, 0, -276, 0, 248, 0, 0, -72, 0, 48, 0, 0, 0, 0, 128, 0, 0, 80, 0, 96, 0, 0, -168, 0, -504, 0, 0, -176, 0, -40, 0, 0, 272, 0, 56, 0, 0, -40, 0, 148, 0, 0, -160, 0, -236, 0, 0, 24, 0, -64, 0, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45993513
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27023315784697758, 'target_is_minimal': False, 'target_label': '1950.2.z.g.1849.1', 'target_level': 1950, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45993514
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 601, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043745317816222, 'target_is_minimal': False, 'target_label': '1950.2.i.m.601.1', 'target_level': 1950, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45993515
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461454, 'target_is_minimal': True, 'target_label': '78.2.e.a.55.1', 'target_level': 78, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45993516
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023315784697758, 'target_is_minimal': False, 'target_label': '1950.2.z.g.1849.2', 'target_level': 1950, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45993517
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1699, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023315784697758, 'target_is_minimal': False, 'target_label': '1950.2.z.g.1699.2', 'target_level': 1950, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45993518
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891818, 'target_is_minimal': False, 'target_label': '234.2.h.a.55.1', 'target_level': 234, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45993519
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309405808, 'target_is_minimal': False, 'target_label': '624.2.q.g.289.1', 'target_level': 624, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45993520
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504958355280, 'target_is_minimal': False, 'target_label': '1872.2.t.c.289.1', 'target_level': 1872, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45993521
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296438, 'target_is_minimal': False, 'target_label': '1014.2.a.c.1.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45993522
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739830, 'target_is_minimal': False, 'target_label': '1014.2.i.b.361.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45993523
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1699, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27023315784697758, 'target_is_minimal': False, 'target_label': '1950.2.z.g.1699.1', 'target_level': 1950, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45993524
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739830, 'target_is_minimal': False, 'target_label': '1014.2.i.b.361.2', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 45993525
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 451, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043745317816222, 'target_is_minimal': False, 'target_label': '1950.2.i.m.451.1', 'target_level': 1950, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45993526
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407926, 'target_is_minimal': False, 'target_label': '1014.2.a.f.1.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45993527
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007773174, 'target_is_minimal': False, 'target_label': '1014.2.b.c.337.2', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 45993528
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 823, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739830, 'target_is_minimal': False, 'target_label': '1014.2.i.b.823.2', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 45993529
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 991, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462390, 'target_is_minimal': False, 'target_label': '1014.2.e.a.991.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 45993530
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462390, 'target_is_minimal': False, 'target_label': '1014.2.e.a.529.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 45993531
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 61, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461454, 'target_is_minimal': True, 'target_label': '78.2.e.a.61.1', 'target_level': 78, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 45993532
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 823, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739830, 'target_is_minimal': False, 'target_label': '1014.2.i.b.823.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 45993533
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007773174, 'target_is_minimal': False, 'target_label': '1014.2.b.c.337.1', 'target_level': 1014, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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id: 45993534
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425150946, 'target_is_minimal': False, 'target_label': '3042.2.a.h.1.1', 'target_level': 3042, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '195.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45993535
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052521442, 'target_is_minimal': False, 'target_label': '3042.2.a.i.1.1', 'target_level': 3042, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '195.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 45993536
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 217, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891818, 'target_is_minimal': False, 'target_label': '234.2.h.a.217.1', 'target_level': 234, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '195.113', 'twisting_conrey_index': 113, 'weight': 2}
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id: 45993537
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525266144627682, 'target_is_minimal': False, 'target_label': '3042.2.b.h.1351.2', 'target_level': 3042, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '195.128', 'twisting_conrey_index': 128, 'weight': 2}
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id: 45993538
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525266144627682, 'target_is_minimal': False, 'target_label': '3042.2.b.h.1351.1', 'target_level': 3042, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '195.158', 'twisting_conrey_index': 158, 'weight': 2}
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id: 45993539
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562008496, 'target_is_minimal': False, 'target_label': '8112.2.a.m.1.1', 'target_level': 8112, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '260.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45993540
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288303536, 'target_is_minimal': False, 'target_label': '8112.2.a.c.1.1', 'target_level': 8112, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '260.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45993541
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309405808, 'target_is_minimal': False, 'target_label': '624.2.q.g.529.1', 'target_level': 624, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '260.243', 'twisting_conrey_index': 243, 'weight': 2}
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id: 45993542
{'conductor': 780, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27023315784697758, 'source_is_minimal': False, 'source_label': '1950.2.z.g.1849.1', 'source_level': 1950, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504958355280, 'target_is_minimal': False, 'target_label': '1872.2.t.c.1153.1', 'target_level': 1872, 'twist_class_label': '78.2.e.a.55.1', 'twist_class_level': 78, 'twisting_char_label': '780.503', 'twisting_conrey_index': 503, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2325850
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 2}
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id: 2325851
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 3}
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id: 2325852
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27023315784697758, 'p': 5}
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id: 2325853
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 7}
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id: 2325854
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 11}
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id: 2325855
{'charpoly_factorization': [[[169, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 13}
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id: 2325856
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 17}
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id: 2325857
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 19}
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id: 2325858
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 23}
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id: 2325859
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 29}
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id: 2325860
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 27023315784697758, 'p': 31}
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id: 2325861
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 37}
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id: 2325862
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 41}
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id: 2325863
{'charpoly_factorization': [[[10000, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 43}
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id: 2325864
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 47}
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id: 2325865
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 53}
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id: 2325866
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27023315784697758, 'p': 59}
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id: 2325867
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 61}
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id: 2325868
{'charpoly_factorization': [[[10000, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 67}
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id: 2325869
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 71}
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id: 2325870
{'charpoly_factorization': [[[169, 0, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 73}
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id: 2325871
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 27023315784697758, 'p': 79}
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id: 2325872
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 83}
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id: 2325873
{'charpoly_factorization': [[[324, -18, 1], 2]], 'hecke_orbit_code': 27023315784697758, 'p': 89}
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id: 2325874
{'charpoly_factorization': [[[38416, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 27023315784697758, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 26, 'hecke_orbit': 7, 'label': '1950.2.z.g', 'level': 1950, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47729203
{'hecke_orbit_code': 27023315784697758, 'n': 1, 'trace_an': 4}
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id: 47729204
{'hecke_orbit_code': 27023315784697758, 'n': 2, 'trace_an': 0}
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id: 47729205
{'hecke_orbit_code': 27023315784697758, 'n': 3, 'trace_an': 0}
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id: 47729206
{'hecke_orbit_code': 27023315784697758, 'n': 4, 'trace_an': 2}
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id: 47729207
{'hecke_orbit_code': 27023315784697758, 'n': 5, 'trace_an': 0}
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id: 47729208
{'hecke_orbit_code': 27023315784697758, 'n': 6, 'trace_an': 2}
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id: 47729209
{'hecke_orbit_code': 27023315784697758, 'n': 7, 'trace_an': 0}
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id: 47729210
{'hecke_orbit_code': 27023315784697758, 'n': 8, 'trace_an': 0}
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id: 47729211
{'hecke_orbit_code': 27023315784697758, 'n': 9, 'trace_an': 2}
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id: 47729212
{'hecke_orbit_code': 27023315784697758, 'n': 10, 'trace_an': 0}
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id: 47729213
{'hecke_orbit_code': 27023315784697758, 'n': 11, 'trace_an': -12}
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id: 47729214
{'hecke_orbit_code': 27023315784697758, 'n': 12, 'trace_an': 0}
-
id: 47729215
{'hecke_orbit_code': 27023315784697758, 'n': 13, 'trace_an': 0}
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id: 47729216
{'hecke_orbit_code': 27023315784697758, 'n': 14, 'trace_an': 8}
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id: 47729217
{'hecke_orbit_code': 27023315784697758, 'n': 15, 'trace_an': 0}
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id: 47729218
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