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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 289, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 1, 1]], [11, [9, 3, 1]], [13, [6, 1]], [17, [25, 5, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022834748359664, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_cc • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 3, 1]], 'conrey_index': 289, 'cusp_dim': 336, 'dim': 38, 'eis_dim': 96, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 1236984136688, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '1008.2.s', 'level': 1008, '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, 7], 'level_radical': 42, 'mf_dim': 432, 'mf_new_dim': 42, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 19, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, 1, 0], 'traces': [38, 0, 0, 0, 1, 0, 0, 0, 0, 0, -3, 0, -4, 0, 0, 0, 1, 0, 9, 0, 0, 0, -9, 0, -20, 0, 0, 0, 4, 0, -9, 0, 0, 0, -15, 0, 3, 0, 0, 0, -4, 0, 16, 0, 0, 0, 15, 0, 6, 0, 0, 0, 9, 0, 22, 0, 0, 0, -11, 0, 3, 0, 0, 0, 18, 0, 7, 0, 0, 0, 8, 0, 11, 0, 0, 0, -25, 0, 13, 0, 0, 0, 64, 0, -10, 0, 0, 0, -3, 0, 52, 0, 0, 0, 45, 0, 4, 0, 0, 0, -11, 0, -19, 0, 0, 0, 19, 0, 11, 0, 0, 0, 12, 0, -13, 0, 0, 0, -1, 0, 6, 0, 0, 0, 18, 0, 24, 0, 0, 0, -37, 0, -15, 0, 0, 0, 25, 0, -80, 0, 0, 0, -10, 0, -10, 0, 0, 0, -15, 0, -53, 0, 0, 0, -38, 0, -9, 0, 0, 0, -29, 0, -55, 0, 0, 0, -128, 0, -6, 0, 0, 0, 13, 0, 12, 0, 0, 0, -59, 0, -60, 0, 0, 0, -41, 0, -27, 0, 0, 0, -25, 0, 23, 0, 0, 0, -12, 0, 11, 0, 0, 0, -16, 0, -14, 0, 0, 0, -34, 0, 72, 0, 0, 0, 40, 0, -27, 0, 0, 0, -14, 0, 80, 0, 0, 0, -11, 0, -41, 0, 0, 0, -15, 0, 39, 0, 0, 0, 80, 0, -21, 0, 0, 0, -3, 0, -2, 0, 0, 0, 192, 0, -22, 0, 0, 0, 1, 0, -93, 0, 0, 0, 89, 0, 54, 0, 0, 0, 65, 0, -79, 0, 0, 0, 72, 0, -25, 0, 0, 0, -20, 0, 27, 0, 0, 0, -20, 0, -24, 0, 0, 0, 76, 0, -162, 0, 0, 0, -82, 0, 64, 0, 0, 0, -25, 0, -96, 0, 0, 0, 29, 0, 27, 0, 0, 0, 13, 0, -10, 0, 0, 0, -66, 0, 40, 0, 0, 0, 71, 0, 37, 0, 0, 0, -278, 0, -60, 0, 0, 0, -49, 0, -132, 0, 0, 0, -99, 0, -52, 0, 0, 0, 41, 0, 88, 0, 0, 0, -61, 0, 6, 0, 0, 0, 50, 0, 19, 0, 0, 0, -1, 0, 43, 0, 0, 0, 88, 0, -88, 0, 0, 0, 75, 0, -4, 0, 0, 0, -3, 0, 218, 0, 0, 0, -23, 0, -57, 0, 0, 0, 73, 0, 98, 0, 0, 0, 122, 0, 23, 0, 0, 0, -93, 0, 124, 0, 0, 0, 288, 0, 44, 0, 0, 0, -52, 0, -17, 0, 0, 0, 97, 0, 132, 0, 0, 0, -97, 0, 69, 0, 0, 0, 67, 0, 33, 0, 0, 0, 44, 0, 74, 0, 0, 0, 22, 0, 27, 0, 0, 0, -108, 0, -40, 0, 0, 0, -125, 0, 21, 0, 0, 0, 52, 0, -240, 0, 0, 0, 33, 0, 22, 0, 0, 0, -90, 0, -45, 0, 0, 0, -80, 0, -114, 0, 0, 0, -24, 0, -43, 0, 0, 0, -312, 0, 78, 0, 0, 0, -15, 0, 117, 0, 0, 0, -135, 0, 18, 0, 0, 0, -83, 0, 153, 0, 0, 0, -49, 0, 2, 0, 0, 0, 56, 0, -129, 0, 0, 0, -23, 0, -1, 0, 0, 0, -206, 0, 304, 0, 0, 0, 102, 0, -99, 0, 0, 0, -51, 0, 280, 0, 0, 0, -23, 0, 82, 0, 0, 0, -43, 0, 59, 0, 0, 0, 216, 0, -61, 0, 0, 0, 176, 0, 5, 0, 0, 0, 360, 0, -38, 0, 0, 0, 9, 0, 196, 0, 0, 0, 121, 0, -60, 0, 0, 0, 62, 0, -127, 0, 0, 0, 42, 0, 67, 0, 0, 0, -52, 0, -73, 0, 0, 0, 65, 0, -89, 0, 0, 0, 146, 0, 224, 0, 0, 0, -148, 0, -36, 0, 0, 0, -35, 0, -208, 0, 0, 0, 85, 0, 57, 0, 0, 0, 77, 0, -157, 0, 0, 0, -152, 0, 31, 0, 0, 0, 111, 0, -94, 0, 0, 0, -414, 0, -28, 0, 0, 0, 33, 0, 16, 0, 0, 0, -199, 0, 262, 0, 0, 0, 122, 0, -51, 0, 0, 0, -104, 0, -46, 0, 0, 0, 108, 0, -57, 0, 0, 0, 19, 0, 99, 0, 0, 0, 94, 0, 12, 0, 0, 0, 147, 0, 69, 0, 0, 0, 56, 0, 56, 0, 0, 0, -100, 0, 59, 0, 0, 0, 55, 0, 75, 0, 0, 0, 72, 0, 117, 0, 0, 0, -137, 0, 9, 0, 0, 0, 466, 0, -36, 0, 0, 0, -31, 0, -195, 0, 0, 0, 138, 0, -28, 0, 0, 0, -75, 0, -264, 0, 0, 0, 54, 0, 48, 0, 0, 0, 122, 0, 51, 0, 0, 0, -36, 0, -2, 0, 0, 0, -108, 0, -478, 0, 0, 0, -101, 0, -131, 0, 0, 0, 13, 0, -232, 0, 0, 0, 29, 0, -100, 0, 0, 0, -55, 0, -89, 0, 0, 0, -112, 0, -37, 0, 0, 0, -139, 0, 20, 0, 0, 0, -368, 0, 58, 0, 0, 0, 111, 0, -246, 0, 0, 0, -111, 0, -148, 0, 0, 0, -123, 0, 77, 0, 0, 0, -157, 0, -39, 0, 0, 0, -282, 0, 98, 0, 0, 0, -12, 0, -81, 0, 0, 0, -156, 0, -144, 0, 0, 0, 127, 0, -96, 0, 0, 0, -37, 0, 342, 0, 0, 0, -46, 0, 45, 0, 0, 0, -106, 0, 167, 0, 0, 0, 224, 0, -60, 0, 0, 0, 11, 0, 57, 0, 0, 0, 296, 0, 72, 0, 0, 0, 45, 0, 49, 0, 0, 0, 225, 0, -356, 0, 0, 0, 177, 0, 174, 0, 0, 0, 131, 0, -82, 0, 0, 0, -132, 0, 103, 0, 0, 0, -1, 0, -30, 0, 0, 0, 186, 0, -120, 0, 0, 0, -105, 0, 64, 0, 0, 0, -23, 0, -194, 0, 0, 0, -11, 0, -106, 0, 0, 0, 132, 0, 11, 0, 0, 0, -254, 0, 111, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45960373
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022834748359664, 'target_is_minimal': False, 'target_label': '1008.2.s.g.289.1', 'target_level': 1008, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45960374
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368432, 'target_is_minimal': False, 'target_label': '112.2.i.a.65.1', 'target_level': 112, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45960375
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008436238877176, 'target_is_minimal': False, 'target_label': '504.2.s.c.289.1', 'target_level': 504, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45960376
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991528848, 'target_is_minimal': False, 'target_label': '7056.2.a.bj.1.1', 'target_level': 7056, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45960377
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 865, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022834748359664, 'target_is_minimal': False, 'target_label': '1008.2.s.g.865.1', 'target_level': 1008, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45960378
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580971408, 'target_is_minimal': False, 'target_label': '7056.2.a.u.1.1', 'target_level': 7056, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45960379
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 9, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738872, 'target_is_minimal': True, 'target_label': '56.2.i.b.9.1', 'target_level': 56, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45960380
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148688, 'target_is_minimal': False, 'target_label': '784.2.a.h.1.1', 'target_level': 784, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45960381
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296208, 'target_is_minimal': False, 'target_label': '784.2.a.c.1.1', 'target_level': 784, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45960382
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368432, 'target_is_minimal': False, 'target_label': '112.2.i.a.81.1', 'target_level': 112, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45960383
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 753, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962576, 'target_is_minimal': False, 'target_label': '784.2.i.h.753.1', 'target_level': 784, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 45960384
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962576, 'target_is_minimal': False, 'target_label': '784.2.i.h.177.1', 'target_level': 784, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45960385
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480256, 'target_is_minimal': False, 'target_label': '448.2.i.d.65.1', 'target_level': 448, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45960386
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 65, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739264, 'target_is_minimal': False, 'target_label': '448.2.i.b.65.1', 'target_level': 448, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45960387
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058831022067144, 'target_is_minimal': False, 'target_label': '3528.2.s.q.361.1', 'target_level': 3528, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45960388
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008436238877176, 'target_is_minimal': False, 'target_label': '504.2.s.c.361.1', 'target_level': 504, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45960389
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679892424, 'target_is_minimal': False, 'target_label': '3528.2.a.j.1.1', 'target_level': 3528, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45960390
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444115400, 'target_is_minimal': False, 'target_label': '3528.2.a.p.1.1', 'target_level': 3528, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45960391
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 3313, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058831022067144, 'target_is_minimal': False, 'target_label': '3528.2.s.q.3313.1', 'target_level': 3528, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45960392
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2267776288120, 'target_is_minimal': False, 'target_label': '1400.2.bh.a.849.1', 'target_level': 1400, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45960393
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 849, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2267776288120, 'target_is_minimal': False, 'target_label': '1400.2.bh.a.849.2', 'target_level': 1400, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45960394
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 401, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427295096, 'target_is_minimal': False, 'target_label': '1400.2.q.d.401.1', 'target_level': 1400, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45960395
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 25, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738872, 'target_is_minimal': True, 'target_label': '56.2.i.b.25.1', 'target_level': 56, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45960396
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295816, 'target_is_minimal': False, 'target_label': '392.2.a.c.1.1', 'target_level': 392, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45960397
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036808, 'target_is_minimal': False, 'target_label': '392.2.a.e.1.1', 'target_level': 392, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45960398
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739208, 'target_is_minimal': False, 'target_label': '392.2.i.b.361.1', 'target_level': 392, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45960399
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739208, 'target_is_minimal': False, 'target_label': '392.2.i.b.177.1', 'target_level': 392, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 45960400
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953596992, 'target_is_minimal': False, 'target_label': '3136.2.a.t.1.1', 'target_level': 3136, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '168.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45960401
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739264, 'target_is_minimal': False, 'target_label': '448.2.i.b.193.1', 'target_level': 448, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '168.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45960402
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480256, 'target_is_minimal': False, 'target_label': '448.2.i.d.193.1', 'target_level': 448, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '168.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 45960403
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580967488, 'target_is_minimal': False, 'target_label': '3136.2.a.u.1.1', 'target_level': 3136, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '168.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 45960404
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052521536, 'target_is_minimal': False, 'target_label': '3136.2.a.i.1.1', 'target_level': 3136, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '168.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 45960405
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679892032, 'target_is_minimal': False, 'target_label': '3136.2.a.j.1.1', 'target_level': 3136, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '168.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 45960406
{'conductor': 420, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1201, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427295096, 'target_is_minimal': False, 'target_label': '1400.2.q.d.1201.1', 'target_level': 1400, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '420.179', 'twisting_conrey_index': 179, 'weight': 2}
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id: 45960407
{'conductor': 420, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2267776288120, 'target_is_minimal': False, 'target_label': '1400.2.bh.a.249.2', 'target_level': 1400, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '420.263', 'twisting_conrey_index': 263, 'weight': 2}
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id: 45960408
{'conductor': 420, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326233160, 'target_is_minimal': False, 'target_label': '9800.2.a.s.1.1', 'target_level': 9800, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '420.299', 'twisting_conrey_index': 299, 'weight': 2}
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id: 45960409
{'conductor': 420, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2267776288120, 'target_is_minimal': False, 'target_label': '1400.2.bh.a.249.1', 'target_level': 1400, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '420.347', 'twisting_conrey_index': 347, 'weight': 2}
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id: 45960410
{'conductor': 420, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022834748359664, 'source_is_minimal': False, 'source_label': '1008.2.s.g.289.1', 'source_level': 1008, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854679112, 'target_is_minimal': False, 'target_label': '9800.2.a.be.1.1', 'target_level': 9800, 'twist_class_label': '56.2.i.b.9.1', 'twist_class_level': 56, 'twisting_char_label': '420.359', 'twisting_conrey_index': 359, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1591125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 2}
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id: 1591126
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 3}
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id: 1591127
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 5}
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id: 1591128
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 7}
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id: 1591129
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 11}
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id: 1591130
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 13}
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id: 1591131
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 17}
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id: 1591132
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 19}
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id: 1591133
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 23}
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id: 1591134
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 29}
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id: 1591135
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 31}
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id: 1591136
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 37}
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id: 1591137
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 41}
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id: 1591138
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 43}
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id: 1591139
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 47}
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id: 1591140
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 53}
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id: 1591141
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 59}
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id: 1591142
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 61}
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id: 1591143
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 67}
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id: 1591144
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 71}
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id: 1591145
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 73}
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id: 1591146
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 79}
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id: 1591147
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 83}
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id: 1591148
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 27022834748359664, 'p': 89}
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id: 1591149
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27022834748359664, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 7, 'label': '1008.2.s.g', 'level': 1008, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47689729
{'hecke_orbit_code': 27022834748359664, 'n': 1, 'trace_an': 2}
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id: 47689730
{'hecke_orbit_code': 27022834748359664, 'n': 2, 'trace_an': 0}
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id: 47689731
{'hecke_orbit_code': 27022834748359664, 'n': 3, 'trace_an': 0}
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id: 47689732
{'hecke_orbit_code': 27022834748359664, 'n': 4, 'trace_an': 0}
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id: 47689733
{'hecke_orbit_code': 27022834748359664, 'n': 5, 'trace_an': -1}
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id: 47689734
{'hecke_orbit_code': 27022834748359664, 'n': 6, 'trace_an': 0}
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id: 47689735
{'hecke_orbit_code': 27022834748359664, 'n': 7, 'trace_an': 4}
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id: 47689736
{'hecke_orbit_code': 27022834748359664, 'n': 8, 'trace_an': 0}
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id: 47689737
{'hecke_orbit_code': 27022834748359664, 'n': 9, 'trace_an': 0}
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id: 47689738
{'hecke_orbit_code': 27022834748359664, 'n': 10, 'trace_an': 0}
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id: 47689739
{'hecke_orbit_code': 27022834748359664, 'n': 11, 'trace_an': -3}
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