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mf_newforms • Show schema
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{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [99, 5, [56, 46], [5, 1]], 'cm_discs': [], 'conrey_index': 37, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -2, 4, -3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308707, '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, 11, 3, 1, 5, 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': '99.2.f.b', 'level': 99, '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': [3, 11], 'level_radical': 33, 'minimal_twist': '33.2.e.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{10}^{3})q^{2}+(1-\\zeta_{10})q^{4}+(1-2\\zeta_{10}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '99.2.f', 'trace_display': [3, 0, 1, -3], 'trace_hash': 485965094249172986, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.869', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46.801', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [99, 5, [56, 46], [5, 1]], 'conrey_index': 37, 'cusp_dim': 32, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343630938211, 'hecke_orbit_dims': [4, 4, 8], 'label': '99.2.f', 'level': 99, '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': [3, 11], 'level_radical': 33, 'mf_dim': 64, 'mf_new_dim': 24, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 24, 'trace_bound': 2, 'trace_display': [4, 0, 4, -8], 'traces': [16, 4, 0, -4, 4, 0, -8, -8, 0, -24, 2, 0, -8, -2, 0, 12, -14, 0, -8, -6, 0, 24, 12, 0, 8, -10, 0, 24, 4, 0, 8, 48, 0, -8, 0, 0, -12, 10, 0, -12, -20, 0, -16, -34, 0, -32, -14, 0, -40, -18, 0, 16, -10, 0, 8, -12, 0, 4, 26, 0, 24, 28, 0, 52, 28, 0, 0, 28, 0, 20, 12, 0, 44, 30, 0, 8, 2, 0, 24, -22, 0, -4, -34, 0, 44, -8, 0, -76, 4, 0, 8, -10, 0, -8, -30, 0, -84, -40, 0, -56, -6, 0, -8, -34, 0, -68, -24, 0, -104, 6, 0, -8, 28, 0, 44, 36, 0, -28, 6, 0, 56, -48, 0, 36, 28, 0, -4, 2, 0, 20, 40, 0, 56, 30, 0, 12, 10, 0, 8, 24, 0, 144, 32, 0, 60, 28, 0, -32, 18, 0, 20, 20, 0, 116, -12, 0, -72, -54, 0, -28, 24, 0, 52, -64, 0, 0, -72, 0, 24, 8, 0, 84, -22, 0, 0, -10, 0, -44, -8, 0, -44, 48, 0, -60, -4, 0, -152, 108, 0, -52, 0, 0, -12, -34, 0, -136, -96, 0, -144, -12, 0, 4, -24, 0, -76, 60, 0, 0, 10, 0, 40, 22, 0, 112, 24, 0, -8, -12, 0, -36, -64, 0, 36, -6, 0, -132, -20, 0, 52, -24, 0, 168, -16, 0, -16, -46, 0, 68, 14, 0, 160, 24, 0, 80, 4, 0, 36, -6, 0, 12, 86, 0, 16, 0, 0, 20, 54, 0, 48, 4, 0, 72, 28, 0, 8, -10, 0, -44, 48, 0, 124, 0, 0, -8, 70, 0, -88, -68, 0, -52, 24, 0, -36, -6, 0, -116, 28, 0, 32, -8, 0, -16, -52, 0, -116, -108, 0, -72, -30, 0, -48, -4, 0, -172, -30, 0, -16, -18, 0, -64, 28, 0, -24, 48, 0, -104, 10, 0, -16, 28, 0, -44, 0, 0, 48, 16, 0, 44, -24, 0, 160, 6, 0, 56, -34, 0, -24, 40, 0, 192, -76, 0, 52, 100, 0, 72, -8, 0, 68, -30, 0, 172, 72, 0, -12, -74, 0, 20, -28, 0, 124, 28, 0, -24, 12, 0, 12, 16, 0, 56, -34, 0, -40, 42, 0, 32, 12, 0, -96, 0, 0, -12, -22, 0, 16, -52, 0, -40, -18, 0, -32, 88, 0, -116, 28, 0, -88, 0, 0, 40, 58, 0, -68, -78, 0, -352, 14, 0, 20, -30, 0, 96, -56, 0, -44, 2, 0, 72, -4, 0, -84, -4, 0, -52, 0, 0, -124, 88, 0, 40, -2, 0, -164, -14, 0, 64, 30, 0, -40, -4, 0, -8, -128, 0, 48, -12, 0, 84, -48, 0, 100, -96, 0, 120, -22, 0, -80, -24, 0, 64, 92, 0, -32, 36, 0, 100, -54, 0, 84, -22, 0, -136, -46, 0, -8, 6, 0, -64, -42, 0, 76, 36, 0, -184, -56, 0, 96, 162, 0, 176, 46, 0, 52, 40, 0, 48, 96, 0, 116, 30, 0, -224, 92, 0, 80, -20, 0, 20, 90, 0, 36, -58, 0, 136, 8, 0, -92, 76, 0, 64, -28, 0, 116, -54, 0, 80, 52, 0, 40, 20, 0, 124, 102, 0, 44, -38, 0, 200, 16, 0, -92, -54, 0, -224, -36, 0, 88, -66, 0, 76, 0, 0, 16, 88, 0, 112, 94, 0, 88, 16, 0, -256, 10, 0, -80, -72, 0, 200, -12, 0, -88, -70, 0, -120, -14, 0, -64, -102, 0, -100, -50, 0, -20, -88, 0, -192, -104, 0, -32, 48, 0, -84, 12, 0, -232, 42, 0, -188, -68, 0, -164, -54, 0, -216, -86, 0, 56, -160, 0, -176, -14, 0, -156, 6, 0, 20, -132, 0, 48, 58, 0, 92, -4, 0, 36, 100, 0, -32, 22, 0, -76, 62, 0, 36, 16, 0, 208, -76, 0, -132, 30, 0, 164, -18, 0, 156, -14, 0, 112, 104, 0, 96, 62, 0, -32, -6, 0, 88, 64, 0, 144, -24, 0, 4, 30, 0, -4, 56, 0, -16, 18, 0, 40, 92, 0, 72, 56, 0, 56, -22, 0, 64, 164, 0, 108, -22, 0, 28, -6, 0, -124, 244, 0, 232, -14, 0, 180, 96, 0, -24, -98, 0, -192, 64, 0, 248, 4, 0, 92, -14, 0, 32, -6, 0, -52, 8, 0, 64, -76, 0, -112, -66, 0, -32, -144, 0, 168, -66, 0, -44, -98, 0, -56, -78, 0, -32, -36, 0, -20, 28, 0, 20, 14, 0, 0, 80, 0, -32, -4, 0, -184, -160, 0, 92, -28, 0, 148, -212, 0, -64, 78, 0, 60, 66, 0, -56, 78, 0, -176, 6, 0, -80, -40, 0, 12, 4, 0, -180, 40, 0, -52, 20, 0, -64, 0, 0, -124, 10, 0, -108, 108, 0, -120, -108, 0, -56, -72, 0, -36, 48, 0, -56, 80, 0, -152, 20, 0, 80, 44, 0, -104, -36, 0, 52, 116, 0, -168, 68, 0, -100, 128, 0, -32, -184, 0, 240, 28, 0, 76, 18, 0, 104, -12, 0, 32, 230, 0, 260, -96, 0, -92, 10, 0, -156, -24, 0, 32, -12, 0, 108, -20, 0, -20, -78, 0, 72, -132, 0, 248, -62, 0, -184, 12, 0, 76, -144, 0, 240, -104, 0, -168, 156, 0, 112, 26, 0, 52, 60, 0, 0, -152, 0, 160, 30, 0, -108, -104, 0, -108, 32, 0, 112, 30, 0, 52, 28, 0, 4, 88, 0, 280, 94, 0, -160, 58, 0, 64, -26, 0, -24, 6, 0, 228, 12, 0, -12, 18, 0, 208, -22, 0, -44, -212, 0, 40, -2, 0, -120, 34, 0, -96, -112, 0, 80, 12, 0, -48, 6, 0, 92, 158, 0, -92, 34, 0, -144, -60, 0, -92, 100, 0, -140, 16, 0, 12, 36, 0, -392, -38, 0, 84, -76, 0, -116, 92, 0, 128, -58, 0, 224, 40, 0, -208, 88, 0, 272, 2, 0, -144, -88, 0, -276, -52, 0, 20, -28, 0, 24, 36, 0, -384, -44, 0, -148, -40, 0, 108, 86, 0, -160], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35201600
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308707, 'target_is_minimal': False, 'target_label': '99.2.f.b.82.1', 'target_level': 99, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35201601
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461409, 'target_is_minimal': True, 'target_label': '33.2.e.a.16.1', 'target_level': 33, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201602
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.676.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201603
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 379, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.379.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35201604
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 379, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.379.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35201605
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.676.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35201606
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001473, 'target_is_minimal': False, 'target_label': '1089.2.a.m.1.2', 'target_level': 1089, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35201607
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224449, 'target_is_minimal': False, 'target_label': '1089.2.a.s.1.1', 'target_level': 1089, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35201608
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 64, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308707, 'target_is_minimal': False, 'target_label': '99.2.f.b.64.1', 'target_level': 99, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 35201609
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519647437849104, 'target_is_minimal': False, 'target_label': '528.2.y.f.49.1', 'target_level': 528, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35201610
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.49.2', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201611
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.49.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35201612
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 676, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518891523605305, 'target_is_minimal': False, 'target_label': '825.2.n.f.676.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35201613
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 130, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796203, 'target_is_minimal': False, 'target_label': '363.2.e.j.130.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201614
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 202, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055211, 'target_is_minimal': False, 'target_label': '363.2.e.h.202.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35201615
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036779, 'target_is_minimal': False, 'target_label': '363.2.a.e.1.2', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35201616
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148267, 'target_is_minimal': False, 'target_label': '363.2.a.h.1.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35201617
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 202, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202731, 'target_is_minimal': False, 'target_label': '363.2.e.c.202.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35201618
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461409, 'target_is_minimal': True, 'target_label': '33.2.e.a.31.1', 'target_level': 33, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35201619
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055211, 'target_is_minimal': False, 'target_label': '363.2.e.h.124.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 35201620
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202731, 'target_is_minimal': False, 'target_label': '363.2.e.c.124.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35201621
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 148, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796203, 'target_is_minimal': False, 'target_label': '363.2.e.j.148.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35201622
{'conductor': 99, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.757.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '99.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35201623
{'conductor': 99, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 460, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.460.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '99.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35201624
{'conductor': 99, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 460, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.460.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '99.86', 'twisting_conrey_index': 86, 'weight': 2}
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id: 35201625
{'conductor': 99, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.757.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '99.97', 'twisting_conrey_index': 97, 'weight': 2}
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id: 35201626
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246268592, 'target_is_minimal': False, 'target_label': '5808.2.a.bl.1.1', 'target_level': 5808, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '132.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35201627
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873639088, 'target_is_minimal': False, 'target_label': '5808.2.a.bm.1.1', 'target_level': 5808, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '132.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 35201628
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519647437849104, 'target_is_minimal': False, 'target_label': '528.2.y.f.97.1', 'target_level': 528, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '132.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 35201629
{'conductor': 165, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463084915, 'target_is_minimal': False, 'target_label': '9075.2.a.x.1.2', 'target_level': 9075, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35201630
{'conductor': 165, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 724, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.724.2', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 35201631
{'conductor': 165, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519976819, 'target_is_minimal': False, 'target_label': '9075.2.a.bv.1.1', 'target_level': 9075, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 35201632
{'conductor': 165, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 526, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518891523605305, 'target_is_minimal': False, 'target_label': '825.2.n.f.526.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 35201633
{'conductor': 165, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308707, 'source_is_minimal': False, 'source_label': '99.2.f.b.82.1', 'source_level': 99, 'target_conrey_index': 724, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.724.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.152', 'twisting_conrey_index': 152, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 295050
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 2}
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id: 295051
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503943258308707, 'p': 3}
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id: 295052
{'charpoly_factorization': [[[1, 4, 6, -1, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 5}
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id: 295053
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 7}
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id: 295054
{'charpoly_factorization': [[[121, 99, 41, 9, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 11}
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id: 295055
{'charpoly_factorization': [[[121, -11, 31, 9, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 13}
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id: 295056
{'charpoly_factorization': [[[1, 3, 4, 2, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 17}
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id: 295057
{'charpoly_factorization': [[[25, 25, 40, 10, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 19}
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id: 295058
{'charpoly_factorization': [[[-19, -2, 1], 2]], 'hecke_orbit_code': 4503943258308707, 'p': 23}
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id: 295059
{'charpoly_factorization': [[[400, -200, 60, -10, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 29}
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id: 295060
{'charpoly_factorization': [[[121, -77, 34, -8, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 31}
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id: 295061
{'charpoly_factorization': [[[1, 7, 19, 3, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 37}
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id: 295062
{'charpoly_factorization': [[[5041, 1207, 249, 23, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 41}
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id: 295063
{'charpoly_factorization': [[[11, -8, 1], 2]], 'hecke_orbit_code': 4503943258308707, 'p': 43}
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id: 295064
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 47}
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id: 295065
{'charpoly_factorization': [[[5041, 781, 76, 6, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 53}
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id: 295066
{'charpoly_factorization': [[[3025, -825, 190, -20, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 59}
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id: 295067
{'charpoly_factorization': [[[81, 108, 54, -3, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 61}
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id: 295068
{'charpoly_factorization': [[[-101, -1, 1], 2]], 'hecke_orbit_code': 4503943258308707, 'p': 67}
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id: 295069
{'charpoly_factorization': [[[6561, -1458, 324, -27, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 71}
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id: 295070
{'charpoly_factorization': [[[16, -16, 16, -6, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 73}
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id: 295071
{'charpoly_factorization': [[[25, 75, 85, -5, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 79}
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id: 295072
{'charpoly_factorization': [[[81, 81, 171, 21, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 83}
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id: 295073
{'charpoly_factorization': [[[5, 10, 1], 2]], 'hecke_orbit_code': 4503943258308707, 'p': 89}
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id: 295074
{'charpoly_factorization': [[[44521, 6752, 634, 33, 1], 1]], 'hecke_orbit_code': 4503943258308707, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '99.2.f.b', 'level': 99, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22356967
{'hecke_orbit_code': 4503943258308707, 'n': 1, 'trace_an': 4}
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id: 22356968
{'hecke_orbit_code': 4503943258308707, 'n': 2, 'trace_an': 3}
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id: 22356969
{'hecke_orbit_code': 4503943258308707, 'n': 3, 'trace_an': 0}
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id: 22356970
{'hecke_orbit_code': 4503943258308707, 'n': 4, 'trace_an': 3}
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id: 22356971
{'hecke_orbit_code': 4503943258308707, 'n': 5, 'trace_an': 1}
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id: 22356972
{'hecke_orbit_code': 4503943258308707, 'n': 6, 'trace_an': 0}
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id: 22356973
{'hecke_orbit_code': 4503943258308707, 'n': 7, 'trace_an': -3}
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id: 22356974
{'hecke_orbit_code': 4503943258308707, 'n': 8, 'trace_an': 5}
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id: 22356975
{'hecke_orbit_code': 4503943258308707, 'n': 9, 'trace_an': 0}
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id: 22356976
{'hecke_orbit_code': 4503943258308707, 'n': 10, 'trace_an': 2}
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id: 22356977
{'hecke_orbit_code': 4503943258308707, 'n': 11, 'trace_an': -9}
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id: 22356978
{'hecke_orbit_code': 4503943258308707, 'n': 12, 'trace_an': 0}
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