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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': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1950, 2, [1301, 1327, 301], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 1351, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [0, 1]], [17, [-2, 1]], [19, [36, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007774110, 'hecke_ring_generator_nbound': 2, '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, 13, 2, 1, 2, 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.b.c', '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.b.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-i q^{2}-q^{3}-q^{4}+i q^{6}+2 i q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.b', 'trace_display': [0, -2, 0, 0], 'trace_hash': 460147680581579437, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.245', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.575', 'prec': 20}, 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mf_hecke_cc • Show schema
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0.07672382712176047, 0.07246209651365688, -0.18969615305699136, -0.11198361155693694, -0.49632610647460523, 0.08901603379634482, -0.3989950787836301, -0.17001949904961758, -0.3019409185472553, 0.010925090026804005, 0.11959727516157274, -0.11488667258784745, -0.26806413083590197, -0.3414228639915288, -0.3539849711653897, -0.2139151854532814, -0.4219271251059926, -0.23929676294014351, 0.16882341251098468, -0.07371216163787371], 'char_orbit_index': 2, 'conrey_index': 1351, 'dual_conrey_index': 1351, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007774110, 'label': '1950.2.b.c.1351.2', 'level': 1950, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1950, 2, [1301, 1327, 301], [2, 2, 1]], 'conrey_index': 1351, 'cusp_dim': 396, 'dim': 42, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 68753033118, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6], 'label': '1950.2.b', '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': 444, 'mf_new_dim': 42, 'num_forms': 13, 'prim_orbit_index': 2, 'relative_dim': 42, 'sturm_bound': 840, 'trace_bound': 14, 'trace_display': [0, 2, 0, 0], 'traces': [42, 0, 2, -42, 0, 0, 0, 0, 42, 0, 0, -2, 2, -12, 0, 42, -4, 0, 0, 0, 0, 0, -8, 0, 0, 8, 2, 0, -28, 0, 0, 0, 0, 0, 0, -42, 0, 12, -18, 0, 0, 4, -24, 0, 0, 0, 0, 2, -58, 0, -12, -2, 20, 0, 0, 12, 0, 0, 0, 0, 60, 28, 0, -42, 0, 0, 0, 4, -8, 0, 0, 0, 0, 56, 0, 0, 64, -12, 24, 0, 42, 12, 0, 0, 0, 0, 12, 0, 0, 0, -24, 8, 0, -40, 0, 0, 0, 0, 0, 0, -52, 0, 48, -8, 0, 0, 16, -2, 0, 0, 0, 0, -20, -4, 0, 28, 2, -8, 0, 0, -26, 0, 0, 0, 0, -12, 32, 0, 56, 0, -112, 0, 104, -12, 0, 0, 0, 0, -56, 0, 0, -48, 24, 42, 0, -48, 38, 0, 0, 0, 0, -12, -4, 0, 0, 18, -20, 0, 36, 0, 0, 0, 0, 0, 0, 32, 0, -4, -38, 0, 0, 24, -140, 0, 0, 0, 0, 44, -48, 0, -28, -68, -60, 0, 0, 36, 0, 0, 0, 0, 72, -2, 0, 0, 0, 58, 0, 0, 8, 0, 0, 0, 0, 12, 0, 0, -8, 2, 112, 0, -40, -20, 0, 0, 0, 0, 8, -24, 0, 0, -36, 32, 0, -12, 0, 0, 0, 0, 0, 0, 48, 0, 4, 8, 0, 0, -64, -40, 0, 0, 0, 0, 2, -60, 0, -28, 40, -28, 0, 0, 216, 0, 0, 0, 0, 42, 68, 0, -176, 0, -28, 0, 16, 0, 0, 0, 0, 0, 180, 0, 0, -4, -32, -132, 0, 8, 44, 0, 0, 0, 0, -24, 8, 0, 0, -104, -216, 0, 54, 0, 0, 0, 0, 0, 0, -56, 0, 84, 40, 0, 0, 108, 20, 0, 0, 0, 0, -64, 128, 0, -104, 12, -52, 0, 0, -24, 0, 0, 0, 0, -184, 16, 0, -42, 0, -44, 0, -12, 72, 0, 0, 0, 0, -64, 0, 0, -36, 88, 100, 0, -184, 12, 0, 0, 0, 0, 72, -12, 0, 0, -18, 0, 0, -8, 0, 0, 0, 0, 0, 0, -98, 0, -10, 24, 0, 0, -192, -8, 0, 0, 0, 0, 68, -8, 0, 40, -76, 4, 0, 0, -16, 0, 0, 0, 0, 136, -24, 0, 12, 0, 288, 0, 64, 76, 0, 0, 0, 0, 8, 0, 0, -76, -40, 52, 0, -32, -176, 0, 0, 0, 0, -48, 16, 0, 0, 8, 104, 0, 112, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 2, 44, 0, 0, 0, 0, 72, 56, 0, -58, -56, 160, 0, 0, 148, 0, 0, 0, 0, 128, 20, 0, 120, 0, 4, 0, 8, -12, 0, 0, 0, 0, -28, 0, 0, 200, -2, -336, 0, 148, 8, 0, 0, 0, 0, 20, 16, 0, 0, 96, 40, 0, 26, 0, 0, 0, 0, 0, 0, 24, 0, -216, 116, 0, 0, 16, -56, 0, 0, 0, 0, -96, 12, 0, -112, 42, -32, 0, 0, -224, 0, 0, 0, 0, -56, -128, 0, 20, 0, -116, 0, 8, 112, 0, 0, 0, 0, -166, 0, 0, -104, 88, -44, 0, 12, 32, 0, 0, 0, 0, -12, 28, 0, 0, 44, 24, 0, 60, 0, 0, 0, 0, 0, 0, 56, 0, 28, 168, 0, 0, 116, 0, 0, 0, 0, 0, 48, -36, 0, 168, -24, -120, 0, 0, -42, 0, 0, 0, 0, -328, -24, 0, 48, 0, -196, 0, -38, 168, 0, 0, 0, 0, 0, 0, 0, -48, -32, -112, 0, 28, -192, 0, 0, 0, 0, 16, 12, 0, 0, 144, 4, 0, -52, 0, 0, 0, 0, 0, 0, -8, 0, -40, -18, 0, 0, -128, 20, 0, 0, 0, 0, -24, 188, 0, -36, 134, -112, 0, 0, -12, 0, 0, 0, 0, -120, 160, 0, -120, 0, -104, 0, -116, -48, 0, 0, 0, 0, -264, 0, 0, 20, -20, -32, 0, 56, 80, 0, 0, 0, 0, 4, 244, 0, 0, 38, -252, 0, 48, 0, 0, 0, 0, 0, 0, 48, 0, -24, 68, 0, 0, 140, 64, 0, 0, 0, 0, -64, -36, 0, 212, -12, -64, 0, 0, -220, 0, 0, 0, 0, 24, -44, 0, 104, 0, 48, 0, -120, -24, 0, 0, 0, 0, 28, 0, 0, 64, 68, 42, 0, 96, 60, 0, 0, 0, 0, -112, 12, 0, 0, 88, 200, 0, -36, 0, 0, 0, 0, 0, 0, -136, 0, -56, -72, 0, 0, -124, 204, 0, 0, 0, 0, -80, -72, 0, 128, 88, 2, 0, 0, -84, 0, 0, 0, 0, 0, -208, 0, -264, 0, 304, 0, 12, -58, 0, 0, 0, 0, 0, 0, 0, 0, -44, 200, 0, -8, -68, 0, 0, 0, 0, -36, -128, 0, 0, -4, 172, 0, -196, 0, 0, 0, 0, 0, 0, -12, 0, -56, -24, 0, 0, 20, 224, 0, 0, 0, 0, 8, 156, 0, 164, -2, 260, 0, 0, -112, 0, 0, 0, 0, -266, 72, 0, 40, 0, -40, 0, 20, -200, 0, 0, 0, 0, 32, 0, 0, 308, -88, 88, 0, -72, 120, 0, 0, 0, 0, 102, -8, 0, 0, -160, 24, 0, 64, 0, 0, 0, 0, 0, 0, 540, 0, 152, 36, 0, 0, 136, -32, 0, 0, 0, 0, 208, -100, 0, 12, 104, 108, 0, 0, -48, 0, 0, 0, 0, -76, -264, 0, -52, 0, -56, 0, -128, -80, 0, 0, 0, 0, 248, 0, 0, -180, -80, -48, 0, 52, 48, 0, 0, 0, 0, -4, 184, 0, 0, -8, 124, 0, -108, 0, 0, 0, 0, 0, 0, -144, 0, 64, -24, 0, 0, 40, -124, 0, 0, 0, 0, 128, 216, 0, 22, -160, 16, 0, 0, 112, 0, 0, 0, 0, 56, -2, 0, -4, 0, 60, 0, -84, -416, 0, 0, 0, 0, 28, 0, 0, -208, -40, 128, 0, -40, 28, 0, 0, 0, 0, 92, -28, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40574627
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007774110, 'target_is_minimal': False, 'target_label': '1950.2.b.c.1351.2', 'target_level': 1950, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40574628
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513051550, 'target_is_minimal': False, 'target_label': '1950.2.f.d.649.2', 'target_level': 1950, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40574629
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021941395163038, 'target_is_minimal': False, 'target_label': '1950.2.f.g.649.1', 'target_level': 1950, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40574630
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 25, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031246, 'target_is_minimal': True, 'target_label': '78.2.b.a.25.1', 'target_level': 78, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40574631
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007774110, 'target_is_minimal': False, 'target_label': '1950.2.b.c.1351.1', 'target_level': 1950, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 40574632
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 181, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753031402, 'target_is_minimal': False, 'target_label': '234.2.b.a.181.2', 'target_level': 234, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40574633
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508528, 'target_is_minimal': False, 'target_label': '624.2.c.a.337.1', 'target_level': 624, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 40574634
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 883, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354623214, 'target_is_minimal': False, 'target_label': '3822.2.c.d.883.1', 'target_level': 3822, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 40574635
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043333000956352, 'target_is_minimal': False, 'target_label': '2496.2.c.m.961.2', 'target_level': 2496, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 40574636
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609362880, 'target_is_minimal': False, 'target_label': '2496.2.c.f.961.2', 'target_level': 2496, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40574637
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1585, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099880272, 'target_is_minimal': False, 'target_label': '1872.2.c.b.1585.2', 'target_level': 1872, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 40574638
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044110326, 'target_is_minimal': False, 'target_label': '1014.2.i.c.361.2', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40574639
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110326, 'target_is_minimal': False, 'target_label': '1014.2.i.c.361.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 40574640
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941395163038, 'target_is_minimal': False, 'target_label': '1950.2.f.g.649.2', 'target_level': 1950, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 40574641
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 991, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944374, 'target_is_minimal': False, 'target_label': '1014.2.e.e.991.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 40574642
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832886, 'target_is_minimal': False, 'target_label': '1014.2.e.b.529.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 40574643
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 823, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044110326, 'target_is_minimal': False, 'target_label': '1014.2.i.c.823.2', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40574644
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778422, 'target_is_minimal': False, 'target_label': '1014.2.a.g.1.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 40574645
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513051550, 'target_is_minimal': False, 'target_label': '1950.2.f.d.649.1', 'target_level': 1950, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 40574646
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925942, 'target_is_minimal': False, 'target_label': '1014.2.a.b.1.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 40574647
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 823, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110326, 'target_is_minimal': False, 'target_label': '1014.2.i.c.823.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 40574648
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944374, 'target_is_minimal': False, 'target_label': '1014.2.e.e.529.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 40574649
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 991, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832886, 'target_is_minimal': False, 'target_label': '1014.2.e.b.991.1', 'target_level': 1014, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 40574650
{'conductor': 65, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 25, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753031246, 'target_is_minimal': True, 'target_label': '78.2.b.a.25.2', 'target_level': 78, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '65.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 40574651
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189373922, 'target_is_minimal': False, 'target_label': '3042.2.a.n.1.1', 'target_level': 3042, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '195.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 40574652
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288298466, 'target_is_minimal': False, 'target_label': '3042.2.a.c.1.1', 'target_level': 3042, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '195.164', 'twisting_conrey_index': 164, 'weight': 2}
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id: 40574653
{'conductor': 195, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 181, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031402, 'target_is_minimal': False, 'target_label': '234.2.b.a.181.1', 'target_level': 234, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '195.194', 'twisting_conrey_index': 194, 'weight': 2}
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id: 40574654
{'conductor': 260, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679897008, 'target_is_minimal': False, 'target_label': '8112.2.a.j.1.1', 'target_level': 8112, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '260.99', 'twisting_conrey_index': 99, 'weight': 2}
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id: 40574655
{'conductor': 260, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797785520, 'target_is_minimal': False, 'target_label': '8112.2.a.g.1.1', 'target_level': 8112, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '260.239', 'twisting_conrey_index': 239, 'weight': 2}
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id: 40574656
{'conductor': 260, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472508528, 'target_is_minimal': False, 'target_label': '624.2.c.a.337.2', 'target_level': 624, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '260.259', 'twisting_conrey_index': 259, 'weight': 2}
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id: 40574657
{'conductor': 455, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 883, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354623214, 'target_is_minimal': False, 'target_label': '3822.2.c.d.883.2', 'target_level': 3822, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '455.454', 'twisting_conrey_index': 454, 'weight': 2}
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id: 40574658
{'conductor': 520, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043333000956352, 'target_is_minimal': False, 'target_label': '2496.2.c.m.961.1', 'target_level': 2496, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '520.259', 'twisting_conrey_index': 259, 'weight': 2}
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id: 40574659
{'conductor': 520, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609362880, 'target_is_minimal': False, 'target_label': '2496.2.c.f.961.1', 'target_level': 2496, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '520.389', 'twisting_conrey_index': 389, 'weight': 2}
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id: 40574660
{'conductor': 780, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1351, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007268007774110, 'source_is_minimal': False, 'source_label': '1950.2.b.c.1351.2', 'source_level': 1950, 'target_conrey_index': 1585, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099880272, 'target_is_minimal': False, 'target_label': '1872.2.c.b.1585.1', 'target_level': 1872, 'twist_class_label': '78.2.b.a.25.1', 'twist_class_level': 78, 'twisting_char_label': '780.779', 'twisting_conrey_index': 779, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2323000
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 2}
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id: 2323001
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 3}
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id: 2323002
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 5}
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id: 2323003
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 7}
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id: 2323004
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 11}
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id: 2323005
{'charpoly_factorization': [[[13, -6, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 13}
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id: 2323006
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 17}
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id: 2323007
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 19}
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id: 2323008
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 23}
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id: 2323009
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 29}
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id: 2323010
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 31}
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id: 2323011
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 37}
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id: 2323012
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 41}
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id: 2323013
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 43}
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id: 2323014
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 47}
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id: 2323015
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 53}
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id: 2323016
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 59}
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id: 2323017
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 61}
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id: 2323018
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 67}
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id: 2323019
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 71}
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id: 2323020
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 73}
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id: 2323021
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268007774110, 'p': 79}
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id: 2323022
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 83}
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id: 2323023
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 89}
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id: 2323024
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 9007268007774110, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '1950.2.b.c', 'level': 1950, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29629471
{'hecke_orbit_code': 9007268007774110, 'n': 1, 'trace_an': 2}
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id: 29629472
{'hecke_orbit_code': 9007268007774110, 'n': 2, 'trace_an': 0}
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id: 29629473
{'hecke_orbit_code': 9007268007774110, 'n': 3, 'trace_an': -2}
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id: 29629474
{'hecke_orbit_code': 9007268007774110, 'n': 4, 'trace_an': -2}
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id: 29629475
{'hecke_orbit_code': 9007268007774110, 'n': 5, 'trace_an': 0}
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id: 29629476
{'hecke_orbit_code': 9007268007774110, 'n': 6, 'trace_an': 0}
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id: 29629477
{'hecke_orbit_code': 9007268007774110, 'n': 7, 'trace_an': 0}
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id: 29629478
{'hecke_orbit_code': 9007268007774110, 'n': 8, 'trace_an': 0}
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id: 29629479
{'hecke_orbit_code': 9007268007774110, 'n': 9, 'trace_an': 2}
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id: 29629480
{'hecke_orbit_code': 9007268007774110, 'n': 10, 'trace_an': 0}
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id: 29629481
{'hecke_orbit_code': 9007268007774110, 'n': 11, 'trace_an': 0}
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id: 29629482
{'hecke_orbit_code': 9007268007774110, 'n': 12, 'trace_an': 2}
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id: 29629483
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