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mf_newforms • Show schema
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{'Nk2': 1568, 'analytic_conductor': 3.130135759234191, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, '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': [392, 2, [295, 197, 297], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 197, 'dim': 6, 'field_disc': -1142512, 'field_disc_factorization': [[-1, 1], [2, 4], [7, 1], [101, 2]], 'field_poly': [8, -4, -2, 5, -1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [7, 0, 19, 0, 9, 0, 1]], [17, [-21, -17, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518066889884040, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 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': '392.2.b.f', 'level': 392, 'level_is_powerful': True, '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, 'minimal_twist': '56.2.p.a', 'nf_label': '6.0.1142512.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{4}q^{2}-\\beta _{3}q^{3}-\\beta _{2}q^{4}+(\\beta _{1}-\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '392.2.b', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1434728749342767065, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.489', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-0.12057072697054305, 0.05526784779958539, -0.308957064288381, 0.08779793042125583, -0.20815977927750234, -0.20861608744929036, -0.3687716949239052, -0.18608324095151943, -0.3920844817608358, -0.4749278508895934, -0.3008098249688972, -0.1552265968426365, 0.12630909713211633, -0.3213249158663905, -0.3155128582705808, -0.20480494774164304, 0.08068420140899371], 'char_orbit_index': 2, 'conrey_index': 197, 'dual_conrey_index': 197, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.7878286544344041, 'embedding_root_real': 1.1744471087503585, 'hecke_orbit': 6, 'hecke_orbit_code': 22518066889884040, 'label': '392.2.b.f.197.1', 'level': 392, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1568, 'analytic_conductor': 3.130135759234191, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [392, 2, [295, 197, 297], [2, 1, 2]], 'conrey_index': 197, 'cusp_dim': 48, 'dim': 36, 'eis_dim': 16, 'eis_new_dim': 10, 'hecke_cutter_primes': [3, 17], 'hecke_orbit_code': 68753031560, 'hecke_orbit_dims': [2, 2, 4, 4, 6, 6, 12], 'label': '392.2.b', 'level': 392, 'level_is_powerful': True, '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': 64, 'mf_new_dim': 46, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 112, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 4, 0, -2, 0, 0, -24, 4, 0, -14, 0, 0, -20, 4, 4, 8, 0, -4, 0, -4, 12, -6, -16, -20, 0, 0, 0, 12, 16, -20, -8, 2, 0, -12, 0, -18, -8, 28, 4, 0, 0, 36, 0, -40, 0, 10, 0, -28, 0, 4, 0, 44, -32, 0, -4, 12, 0, 76, 0, 32, 0, 4, -16, 4, 0, -26, 0, 0, 16, -4, 20, 44, 0, -14, 0, 44, -36, -36, -20, -38, 0, 0, 0, -64, -32, -4, 20, -20, 0, -68, 0, 0, 68, 58, 4, 0, 0, -4, 0, -44, 32, 4, 0, 36, 0, 20, 0, 40, 64, 0, -40, 12, 0, 0, 0, 6, 0, -44, 24, 28, 0, -48, 0, 0, -32, 28, -40, 60, 0, -20, 0, 40, 124, 14, 36, -64, 0, 0, 0, -48, 0, -116, 0, -6, 0, -24, 0, -10, -36, 26, 28, 0, 0, -16, 0, -88, -48, -4, 0, 28, 0, 62, 0, 46, -80, 0, 4, -44, 0, 32, 0, -24, 0, 72, 44, 26, 0, -60, 0, 0, -12, -60, -32, -12, 0, 0, 0, 72, -92, 10, 20, -30, 0, 0, 0, 84, 0, 4, -40, -12, 0, 84, 0, -40, -40, 36, -40, 0, 0, 56, 0, 52, 0, 4, 0, -32, 0, -24, 0, 24, 112, 0, 8, -76, 0, 96, 0, 32, 0, 16, 20, 4, 0, -22, 0, 0, -8, -72, 68, 24, 0, 4, 0, -84, 88, -48, -24, -8, 0, 0, 0, 8, 16, -92, -12, 4, 0, 8, 0, 30, 4, 28, -32, 0, 0, -36, 0, -56, -48, 62, 0, -64, 0, -48, 0, -10, -144, 0, 40, 188, 0, -128, 0, -40, 0, 140, -40, 32, 0, 14, 0, 0, -4, 12, 16, 24, 0, -6, 0, -92, -124, 10, 12, 30, 0, 0, 0, -72, -16, 136, 4, -4, 0, 132, 0, 8, 40, -36, 56, 0, 0, -164, 0, 0, 96, 6, 0, -88, 0, 50, 0, 8, 144, 0, -88, 136, 0, 112, 0, 34, 0, 88, -12, -52, 0, 8, 0, 0, 88, 16, -76, 96, 0, -2, 0, -68, -28, 36, 24, 36, 0, 0, 0, 120, 48, -40, 92, -32, 0, -64, 0, -52, -44, 0, -32, 0, 0, 132, 0, 172, 0, -70, 0, -168, 0, -10, 0, -32, -80, 0, -100, -172, 0, -160, 0, 24, 0, -188, 52, -92, 0, 60, 0, 0, 172, -44, -60, -164, 0, 24, 0, -100, -152, -60, 56, 4, 0, 0, 0, 96, 0, -84, 52, 48, 0, -116, 0, 40, -4, -92, 4, 0, 0, 104, 0, -56, 64, 8, 0, 124, 0, -72, 0, -48, 144, 0, 104, -28, 0, 80, 0, -66, 0, -228, 20, 68, 0, 64, 0, 0, -32, 144, 160, 24, 0, 60, 0, 184, 172, 50, -24, 32, 0, 0, 0, -116, 16, 280, -64, -46, 0, -132, 0, 42, -268, -92, -72, 0, 0, -72, 0, 132, -96, -16, 0, 240, 0, 56, 0, -58, -160, 0, 20, 108, 0, -216, 0, -32, 0, -108, -44, -62, 0, 44, 0, 0, 68, 216, 100, -16, 0, 34, 0, 0, -292, 60, -64, 80, 0, 0, 0, -48, -80, -36, -40, 76, 0, 76, 0, -32, 96, -18, 0, 0, 0, -72, 0, -56, -64, 16, 0, 68, 0, -86, 0, -64, 96, 0, -156, -100, 0, -32, 0, -26, 0, 88, 20, -64, 0, 88, 0, 0, -8, -116, -140, -284, 0, -16, 0, 76, 244, -42, -16, 84, 0, 0, 0, 124, 112, 216, -12, 72, 0, 104, 0, 64, 228, -62, 52, 0, 0, 4, 0, 252, -96, -6, 0, 232, 0, -54, 0, -114, -144, 0, -24, -264, 0, 44, 0, 72, 0, 128, -60, 106, 0, 20, 0, 0, 80, -292, -72, 148, 0, 24, 0, 124, -96, 60, 4, 84, 0, 0, 0, 32, -32, -216, -72, -20, 0, 204, 0, 72, 140, -42, -52, 0, 0, -64, 0, -16, 80, -134, 0, -172, 0, 88, 0, -104, 96, 0, 152, 164, 0, -244, 0, -68, 0, 292, 76, -96, 0, 62, 0, 0, -132, 200, 96, -300, 0, -124, 0, -240, 136, 104, 104, 108, 0, 0, 0, -284, -32, 224, 0, 50, 0, 304, 0, -64, -136, -90, 96, 0, 0, -156, 0, -132, 96, 4, 0, -192, 0, -68, 0, -62, -80, 0, 180, 128, 0, 188, 0, -32, 0, -64, 44, -26, 0, 80, 0, 0, -240, 100, 0, 100, 0, 36, 0, -308, 308, 0, -136, -32, 0, 0, 0, 212, -64, 68, 4, -80, 0, -236, 0, 80, -72, -86, 100, 0, 0, 224, 0, 208, 144, 62, 0, -168, 0, -64, 0, -32, 128, 0, -156, -272, 0, -264, 0, -32, 0, -264, -176, 124, 0, 56, 0, 0, -396, -300, -212, -296, 0, 92, 0, -20, 108, 28, -172, 68, 0, 0, 0, 316, -32, -104, 56, 26, 0, -168, 0, 140, -60, -8, 56, 0, 0, 200, 0, -96, -80, 36, 0, 112, 0, 44, 0, -2, -96, 0, 36, 20, 0, 208, 0, 0, 0, -160, 156, -38, 0, 112, 0, 0, -152, 148, -28, 20, 0, -88, 0, 132, -116, 4, 204, 66, 0, 0, 0, -324, -144, 380, 188, 32, 0, -252, 0, -104, 400, -24, -108, 0, 0, -304, 0, 212, -48, -104, 0, 192, 0, -64, 0, 40, 48, 0, 384, 116, 0, -300, 0, 124, 0, -280, -128, -96, 0, 2, 0, 0, -16, 224, 184, 156, 0, 108, 0, 328, 228, -96, 56, 60, 0, 0, 0, -328, 96, -280, -92, 32, 0, -80, 0, 14, 116, -4, -12, 0, 0, -60, 0, -264, -48, -62, 0, 304, 0, 0, 0, -58, -48, 0, 8, -228, 0, 168, 0, -32, 0, 144, -272, 32, 0, 6, 0, 0, 96, -108, 112, -132, 0, -58, 0, 312, -320, 36, 20, -44, 0, 0, 0, 132, 128, 256, -64, -24, 0, 280, 0, 56, -252, -16, 24, 0, 0, 264, 0, 240, 0, 56], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45092787
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 197, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518066889884040, 'target_is_minimal': False, 'target_label': '392.2.b.f.197.1', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45092788
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 785, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262514720, 'target_is_minimal': False, 'target_label': '1568.2.b.e.785.2', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45092789
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 165, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022628589928840, 'target_is_minimal': False, 'target_label': '392.2.p.g.165.3', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45092790
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 1030825705528, 'target_is_minimal': True, 'target_label': '56.2.p.a.37.6', 'target_level': 56, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45092791
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 373, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022628589928840, 'target_is_minimal': False, 'target_label': '392.2.p.g.373.6', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45092792
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 53, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1030825705528, 'target_is_minimal': True, 'target_label': '56.2.p.a.53.3', 'target_level': 56, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45092793
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 197, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262513544, 'target_is_minimal': False, 'target_label': '392.2.b.e.197.1', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45092794
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 785, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014467262514720, 'target_is_minimal': False, 'target_label': '1568.2.b.e.785.5', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45092795
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 197, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066889884040, 'target_is_minimal': False, 'target_label': '392.2.b.f.197.2', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45092796
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9011391176376824, 'target_is_minimal': False, 'target_label': '504.2.cj.c.109.4', 'target_level': 504, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45092797
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9011391176376824, 'target_is_minimal': False, 'target_label': '504.2.cj.c.37.1', 'target_level': 504, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 45092798
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 177, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 1305703612640, 'target_is_minimal': False, 'target_label': '224.2.t.a.177.5', 'target_level': 224, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45092799
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 177, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022903467836960, 'target_is_minimal': False, 'target_label': '1568.2.t.g.177.2', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45092800
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305703612640, 'target_is_minimal': False, 'target_label': '224.2.t.a.81.2', 'target_level': 224, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45092801
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 753, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022903467836960, 'target_is_minimal': False, 'target_label': '1568.2.t.g.753.5', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45092802
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 785, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518066889885216, 'target_is_minimal': False, 'target_label': '1568.2.b.f.785.5', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45092803
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 177, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305703612640, 'target_is_minimal': False, 'target_label': '224.2.t.a.177.2', 'target_level': 224, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45092804
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 53, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 1030825705528, 'target_is_minimal': True, 'target_label': '56.2.p.a.53.6', 'target_level': 56, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45092805
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 177, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022903467836960, 'target_is_minimal': False, 'target_label': '1568.2.t.g.177.5', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45092806
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 197, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262513544, 'target_is_minimal': False, 'target_label': '392.2.b.e.197.2', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45092807
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 1305703612640, 'target_is_minimal': False, 'target_label': '224.2.t.a.81.5', 'target_level': 224, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45092808
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 785, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066889885216, 'target_is_minimal': False, 'target_label': '1568.2.b.f.785.2', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45092809
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 165, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022628589928840, 'target_is_minimal': False, 'target_label': '392.2.p.g.165.6', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 45092810
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1030825705528, 'target_is_minimal': True, 'target_label': '56.2.p.a.37.3', 'target_level': 56, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 45092811
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 753, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022903467836960, 'target_is_minimal': False, 'target_label': '1568.2.t.g.753.2', 'target_level': 1568, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 45092812
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 373, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022628589928840, 'target_is_minimal': False, 'target_label': '392.2.p.g.373.3', 'target_level': 392, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '56.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 45092813
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 1873, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9011940932192224, 'target_is_minimal': False, 'target_label': '2016.2.cr.c.1873.3', 'target_level': 2016, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45092814
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 1297, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9011940932192224, 'target_is_minimal': False, 'target_label': '2016.2.cr.c.1297.4', 'target_level': 2016, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45092815
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9011391176376824, 'target_is_minimal': False, 'target_label': '504.2.cj.c.109.1', 'target_level': 504, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '168.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45092816
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 1297, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9011940932192224, 'target_is_minimal': False, 'target_label': '2016.2.cr.c.1297.3', 'target_level': 2016, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '168.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45092817
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9011391176376824, 'target_is_minimal': False, 'target_label': '504.2.cj.c.37.4', 'target_level': 504, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '168.101', 'twisting_conrey_index': 101, 'weight': 2}
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id: 45092818
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 197, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518066889884040, 'source_is_minimal': False, 'source_label': '392.2.b.f.197.1', 'source_level': 392, 'target_conrey_index': 1873, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9011940932192224, 'target_is_minimal': False, 'target_label': '2016.2.cr.c.1873.4', 'target_level': 2016, 'twist_class_label': '56.2.p.a.37.3', 'twist_class_level': 56, 'twisting_char_label': '168.131', 'twisting_conrey_index': 131, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 820275
{'charpoly_factorization': [[[8, -8, 4, -2, 2, -2, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 2}
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id: 820276
{'charpoly_factorization': [[[7, 0, 19, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 3}
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id: 820277
{'charpoly_factorization': [[[7, 0, 27, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 5}
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id: 820278
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518066889884040, 'p': 7}
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id: 820279
{'charpoly_factorization': [[[847, 0, 327, 0, 37, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 11}
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id: 820280
{'charpoly_factorization': [[[1008, 0, 320, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 13}
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id: 820281
{'charpoly_factorization': [[[-21, -17, 1, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 17}
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id: 820282
{'charpoly_factorization': [[[3087, 0, 815, 0, 61, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 19}
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id: 820283
{'charpoly_factorization': [[[-9, -7, 1, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 23}
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id: 820284
{'charpoly_factorization': [[[112, 0, 304, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 29}
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id: 820285
{'charpoly_factorization': [[[7, 3, -5, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 31}
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id: 820286
{'charpoly_factorization': [[[63, 0, 899, 0, 61, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 37}
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id: 820287
{'charpoly_factorization': [[[84, -40, -2, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 41}
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id: 820288
{'charpoly_factorization': [[[4032, 0, 4016, 0, 164, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 43}
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id: 820289
{'charpoly_factorization': [[[189, 27, -15, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 47}
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id: 820290
{'charpoly_factorization': [[[26047, 0, 4899, 0, 157, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 53}
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id: 820291
{'charpoly_factorization': [[[26047, 0, 4147, 0, 177, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 59}
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id: 820292
{'charpoly_factorization': [[[642663, 0, 24947, 0, 293, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 61}
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id: 820293
{'charpoly_factorization': [[[63, 0, 251, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 67}
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id: 820294
{'charpoly_factorization': [[[432, -56, -8, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 71}
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id: 820295
{'charpoly_factorization': [[[-441, -93, 5, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 73}
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id: 820296
{'charpoly_factorization': [[[-9, 21, -11, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 79}
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id: 820297
{'charpoly_factorization': [[[448, 0, 432, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 22518066889884040, 'p': 83}
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id: 820298
{'charpoly_factorization': [[[231, -109, 5, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 89}
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id: 820299
{'charpoly_factorization': [[[28, -36, 10, 1], 2]], 'hecke_orbit_code': 22518066889884040, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 6, 'label': '392.2.b.f', 'level': 392, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44004973
{'hecke_orbit_code': 22518066889884040, 'n': 1, 'trace_an': 6}
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id: 44004974
{'hecke_orbit_code': 22518066889884040, 'n': 2, 'trace_an': 2}
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id: 44004975
{'hecke_orbit_code': 22518066889884040, 'n': 3, 'trace_an': 0}
-
id: 44004976
{'hecke_orbit_code': 22518066889884040, 'n': 4, 'trace_an': 0}
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id: 44004977
{'hecke_orbit_code': 22518066889884040, 'n': 5, 'trace_an': 0}
-
id: 44004978
{'hecke_orbit_code': 22518066889884040, 'n': 6, 'trace_an': 4}
-
id: 44004979
{'hecke_orbit_code': 22518066889884040, 'n': 7, 'trace_an': 0}
-
id: 44004980
{'hecke_orbit_code': 22518066889884040, 'n': 8, 'trace_an': 2}
-
id: 44004981
{'hecke_orbit_code': 22518066889884040, 'n': 9, 'trace_an': 0}
-
id: 44004982
{'hecke_orbit_code': 22518066889884040, 'n': 10, 'trace_an': -8}
-
id: 44004983
{'hecke_orbit_code': 22518066889884040, 'n': 11, 'trace_an': 0}
-
id: 44004984
{'hecke_orbit_code': 22518066889884040, 'n': 12, 'trace_an': -2}
-
id: 44004985
{'hecke_orbit_code': 22518066889884040, 'n': 13, 'trace_an': 0}
-
id: 44004986
{'hecke_orbit_code': 22518066889884040, 'n': 14, 'trace_an': 0}
-
id: 44004987
{'hecke_orbit_code': 22518066889884040, 'n': 15, 'trace_an': -10}
-
id: 44004988
{'hecke_orbit_code': 22518066889884040, 'n': 16, 'trace_an': -8}
-
id: 44004989
{'hecke_orbit_code': 22518066889884040, 'n': 17, 'trace_an': -2}
-
id: 44004990
{'hecke_orbit_code': 22518066889884040, 'n': 18, 'trace_an': -6}
-
id: 44004991
{'hecke_orbit_code': 22518066889884040, 'n': 19, 'trace_an': 0}
-
id: 44004992
{'hecke_orbit_code': 22518066889884040, 'n': 20, 'trace_an': -4}
-
id: 44004993
{'hecke_orbit_code': 22518066889884040, 'n': 21, 'trace_an': 0}
-
id: 44004994
{'hecke_orbit_code': 22518066889884040, 'n': 22, 'trace_an': 6}
-
id: 44004995
{'hecke_orbit_code': 22518066889884040, 'n': 23, 'trace_an': -2}
-
id: 44004996
{'hecke_orbit_code': 22518066889884040, 'n': 24, 'trace_an': 18}
-
id: 44004997
{'hecke_orbit_code': 22518066889884040, 'n': 25, 'trace_an': 4}
-
id: 44004998
{'hecke_orbit_code': 22518066889884040, 'n': 26, 'trace_an': -2}
-
id: 44004999
{'hecke_orbit_code': 22518066889884040, 'n': 27, 'trace_an': 0}
-
id: 44005000
{'hecke_orbit_code': 22518066889884040, 'n': 28, 'trace_an': 0}
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id: 44005001
{'hecke_orbit_code': 22518066889884040, 'n': 29, 'trace_an': 0}
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id: 44005002
{'hecke_orbit_code': 22518066889884040, 'n': 30, 'trace_an': -14}
-
id: 44005003
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