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mf_newforms • Show schema
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{'Nk2': 1088, 'analytic_conductor': 2.1719309349788265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 8, 'char_parity': 1, 'char_values': [272, 8, [239, 69, 241], [8, 8, 3]], 'cm_discs': [], 'conrey_index': 49, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, 4, 2, 0, 1]], [5, [32, 32, 24, 8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505042769936656, '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, 17, 4, 1, 8, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1088, 'analytic_conductor': 2.1719309349788265, 'char_conductor': 17, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 8, 'char_parity': 1, 'char_values': [272, 8, [239, 69, 241], [8, 8, 3]], 'conrey_index': 49, 'cusp_dim': 120, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 1443142566160, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 12], 'label': '272.2.v', 'level': 272, '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, 17], 'level_radical': 34, 'mf_dim': 168, 'mf_new_dim': 40, 'num_forms': 6, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 72, 'trace_bound': 5, 'trace_display': [0, 4, -4, 4], 'traces': [32, 0, 4, 0, -4, 0, 4, 0, -12, 0, 4, 0, 0, 0, 4, 0, -4, 0, -12, 0, 0, 0, 4, 0, 0, 0, 4, 0, -8, 0, 4, 0, -8, 0, 56, 0, -4, 0, -8, 0, 0, 0, 4, 0, -24, 0, 0, 0, -4, 0, -36, 0, 0, 0, 0, 0, -20, 0, -20, 0, 44, 0, -80, 0, -4, 0, 32, 0, 24, 0, -52, 0, -24, 0, -68, 0, 12, 0, -20, 0, 0, 0, -60, 0, 0, 0, 76, 0, 0, 0, -24, 0, -36, 0, 4, 0, -28, 0, 64, 0, -8, 0, -32, 0, 4, 0, 28, 0, -36, 0, 4, 0, -52, 0, 0, 0, 52, 0, 84, 0, 20, 0, 0, 0, 16, 0, 68, 0, 68, 0, 44, 0, 12, 0, -8, 0, 24, 0, 116, 0, 72, 0, 0, 0, 48, 0, 40, 0, 0, 0, 100, 0, 20, 0, -20, 0, 0, 0, 92, 0, -52, 0, 4, 0, -12, 0, -36, 0, 8, 0, 128, 0, -8, 0, -40, 0, -44, 0, -44, 0, -36, 0, 0, 0, 64, 0, -108, 0, 32, 0, 0, 0, 48, 0, -168, 0, -120, 0, -124, 0, 8, 0, -40, 0, -8, 0, -184, 0, 92, 0, -68, 0, -132, 0, -92, 0, 0, 0, -156, 0, 48, 0, 52, 0, 0, 0, -108, 0, 28, 0, -60, 0, 20, 0, 104, 0, -40, 0, -112, 0, -32, 0, 152, 0, 32, 0, -8, 0, 20, 0, 0, 0, -36, 0, 276, 0, -12, 0, 0, 0, -52, 0, 76, 0, -120, 0, 144, 0, 76, 0, 0, 0, 64, 0, 168, 0, -40, 0, 44, 0, -88, 0, 4, 0, 0, 0, 228, 0, 0, 0, -4, 0, 0, 0, 156, 0, -56, 0, 16, 0, -68, 0, -64, 0, -48, 0, 32, 0, 16, 0, -92, 0, 0, 0, -68, 0, -32, 0, 0, 0, -124, 0, -172, 0, 92, 0, 0, 0, -56, 0, -204, 0, 64, 0, -152, 0, 16, 0, -40, 0, -8, 0, -236, 0, -108, 0, 28, 0, 160, 0, -96, 0, 0, 0, -172, 0, 96, 0, 4, 0, 0, 0, -152, 0, -64, 0, -156, 0, -84, 0, 68, 0, 56, 0, -56, 0, 108, 0, 212, 0, -52, 0, 156, 0, -20, 0, 0, 0, 60, 0, 220, 0, 52, 0, 0, 0, 124, 0, 160, 0, 88, 0, 176, 0, 48, 0, 24, 0, -40, 0, 336, 0, 108, 0, 44, 0, 116, 0, 108, 0, 0, 0, 240, 0, 40, 0, -20, 0, 0, 0, 188, 0, 12, 0, 132, 0, 124, 0, -76, 0, 168, 0, 160, 0, -84, 0, -272, 0, -12, 0, -12, 0, 124, 0, 0, 0, 92, 0, -348, 0, -104, 0, 0, 0, 140, 0, -204, 0, -112, 0, -272, 0, -28, 0, 80, 0, -8, 0, -172, 0, 116, 0, -76, 0, -56, 0, -92, 0, 0, 0, -204, 0, -116, 0, 52, 0, 0, 0, -204, 0, -36, 0, 44, 0, 20, 0, -20, 0, -200, 0, -56, 0, -96, 0, 200, 0, -56, 0, 44, 0, 80, 0, 0, 0, -220, 0, 180, 0, -20, 0, 0, 0, -84, 0, 228, 0, -148, 0, 276, 0, -132, 0, -40, 0, 64, 0, 316, 0, -200, 0, 12, 0, -100, 0, 92, 0, 0, 0, 232, 0, -128, 0, -68, 0, 0, 0, 108, 0, 32, 0, 76, 0, -104, 0, -216, 0, -120, 0, 200, 0, 108, 0, -196, 0, 76, 0, -108, 0, -20, 0, 0, 0, -136, 0, -320, 0, 28, 0, 0, 0, -168, 0, -160, 0, 264, 0, -124, 0, 52, 0, -240, 0, -48, 0, -444, 0, -164, 0, -60, 0, 72, 0, -200, 0, 0, 0, -312, 0, -48, 0, -84, 0, 0, 0, -196, 0, 116, 0, 12, 0, -84, 0, 156, 0, 344, 0, -160, 0, 68, 0, 68, 0, 48, 0, -60, 0, -4, 0, 0, 0, 176, 0, 416, 0, -64, 0, 0, 0, 124, 0, 132, 0, 108, 0, 364, 0, -80, 0, 24, 0, -56, 0, 244, 0, 172, 0, 244, 0, 176, 0, 36, 0, 0, 0, 348, 0, 68, 0, -36, 0, 0, 0, 116, 0, 136, 0, 80, 0, -48, 0, -80, 0, 152, 0, -80, 0, -48, 0, -108, 0, -32, 0, -28, 0, -80, 0, 0, 0, 144, 0, -164, 0, 48, 0, 0, 0, 56, 0, -44, 0, -208, 0, -220, 0, 0, 0, 80, 0, -8, 0, -356, 0, 176, 0, 36, 0, -260, 0, 108, 0, 0, 0, -292, 0, 12, 0, 56, 0, 0, 0, -124, 0, 92, 0, -92, 0, 268, 0, 100, 0, -136, 0, -232, 0, -176, 0, 92, 0, 108, 0, 172, 0, 116, 0, 0, 0, -56, 0, 128, 0, -100, 0, 0, 0, -196, 0, 372, 0, -108, 0, 116, 0, 192, 0, 120, 0, -40, 0, 360, 0, -168, 0, 116, 0, -260, 0, 180, 0, 0, 0, 140, 0, -180, 0, -172, 0, 0, 0, 116, 0, 24, 0, 92, 0, 12, 0, -12, 0, -328, 0, 296, 0, 124, 0, -228, 0, -16, 0, 12, 0, 172, 0, 0, 0, -168, 0, -300, 0, 12, 0, 0, 0, -200, 0, -88, 0, 60, 0, -248, 0, -24, 0, 224, 0, -104, 0, -244, 0, -244, 0, -132, 0, 264, 0, -20, 0, 0, 0, -204, 0, 200, 0, 112, 0, 0, 0, -12, 0, 68, 0, 92, 0, -108, 0, 28, 0, 248, 0, -112, 0, 176, 0, 56, 0, 44, 0, -8, 0, -136, 0, 0, 0, 12, 0, 184, 0, 112, 0, 0, 0, 160, 0, 300, 0, 232, 0, 316, 0, 12, 0, 40, 0, -104, 0, 352, 0, -12, 0, -32, 0, 300, 0, 124, 0, 0, 0, 140, 0, 124, 0, -100, 0, 0, 0, 120, 0, 72, 0, -40, 0, 376, 0, -236, 0, 312, 0, -128, 0, -292, 0, 28, 0, 84, 0, -244, 0, 152, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 37782638
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 161, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769936656, 'target_is_minimal': False, 'target_label': '272.2.v.b.161.1', 'target_level': 272, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 37782639
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 25, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984674, 'target_is_minimal': True, 'target_label': '34.2.d.a.25.1', 'target_level': 34, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 37782640
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202539826, 'target_is_minimal': False, 'target_label': '306.2.l.c.127.1', 'target_level': 306, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 37782641
{'conductor': 17, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501008400, 'target_is_minimal': False, 'target_label': '4624.2.a.bn.1.1', 'target_level': 4624, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '17.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 37782642
{'conductor': 17, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 175640385501008400, 'target_is_minimal': False, 'target_label': '4624.2.a.bn.1.4', 'target_level': 4624, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '17.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 37782643
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769936656, 'target_is_minimal': False, 'target_label': '272.2.v.b.49.1', 'target_level': 272, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '17.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 37782644
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 399, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 962106229586, 'target_is_minimal': False, 'target_label': '850.2.o.a.399.1', 'target_level': 850, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 37782645
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 399, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504561733600082, 'target_is_minimal': False, 'target_label': '850.2.o.b.399.1', 'target_level': 850, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 37782646
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 501, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799378, 'target_is_minimal': False, 'target_label': '850.2.l.a.501.1', 'target_level': 850, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 37782647
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 327, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609360962, 'target_is_minimal': False, 'target_label': '578.2.c.f.327.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 37782648
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028797052518978, 'target_is_minimal': False, 'target_label': '578.2.a.i.1.4', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 37782649
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143234, 'target_is_minimal': False, 'target_label': '578.2.b.d.577.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 37782650
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 15, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984674, 'target_is_minimal': True, 'target_label': '34.2.d.a.15.1', 'target_level': 34, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 37782651
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 423, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355714, 'target_is_minimal': False, 'target_label': '578.2.d.b.423.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 37782652
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867635143234, 'target_is_minimal': False, 'target_label': '578.2.b.d.577.4', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 37782653
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052518978, 'target_is_minimal': False, 'target_label': '578.2.a.i.1.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 37782654
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 327, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518135609360962, 'target_is_minimal': False, 'target_label': '578.2.c.f.327.4', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 37782655
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609360962, 'target_is_minimal': False, 'target_label': '578.2.c.f.251.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 37782656
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 155, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985218, 'target_is_minimal': False, 'target_label': '578.2.d.a.155.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 37782657
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 179, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985218, 'target_is_minimal': False, 'target_label': '578.2.d.a.179.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 37782658
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 179, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726210, 'target_is_minimal': False, 'target_label': '578.2.d.c.179.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 37782659
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 155, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726210, 'target_is_minimal': False, 'target_label': '578.2.d.c.155.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 37782660
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518135609360962, 'target_is_minimal': False, 'target_label': '578.2.c.f.251.4', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.63', 'twisting_conrey_index': 63, 'weight': 2}
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id: 37782661
{'conductor': 68, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 399, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355714, 'target_is_minimal': False, 'target_label': '578.2.d.b.399.1', 'target_level': 578, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '68.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 37782662
{'conductor': 204, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 253, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202539826, 'target_is_minimal': False, 'target_label': '306.2.l.c.253.1', 'target_level': 306, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '204.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 37782663
{'conductor': 204, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 216172782147343442, 'target_is_minimal': False, 'target_label': '5202.2.a.bw.1.4', 'target_level': 5202, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '204.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 37782664
{'conductor': 204, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147343442, 'target_is_minimal': False, 'target_label': '5202.2.a.bw.1.1', 'target_level': 5202, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '204.143', 'twisting_conrey_index': 143, 'weight': 2}
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id: 37782665
{'conductor': 340, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504561733600082, 'target_is_minimal': False, 'target_label': '850.2.o.b.49.1', 'target_level': 850, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '340.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 37782666
{'conductor': 340, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799378, 'target_is_minimal': False, 'target_label': '850.2.l.a.151.1', 'target_level': 850, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '340.219', 'twisting_conrey_index': 219, 'weight': 2}
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id: 37782667
{'conductor': 340, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 161, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505042769936656, 'source_is_minimal': False, 'source_label': '272.2.v.b.161.1', 'source_level': 272, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 962106229586, 'target_is_minimal': False, 'target_label': '850.2.o.a.49.1', 'target_level': 850, 'twist_class_label': '34.2.d.a.15.1', 'twist_class_level': 34, 'twisting_char_label': '340.287', 'twisting_conrey_index': 287, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 619975
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505042769936656, 'p': 2}
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id: 619976
{'charpoly_factorization': [[[2, 4, 2, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 3}
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id: 619977
{'charpoly_factorization': [[[32, 32, 24, 8, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 5}
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id: 619978
{'charpoly_factorization': [[[32, 32, 8, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 7}
-
id: 619979
{'charpoly_factorization': [[[2, 12, 22, 4, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 11}
-
id: 619980
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 13}
-
id: 619981
{'charpoly_factorization': [[[289, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 17}
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id: 619982
{'charpoly_factorization': [[[16, 32, 32, 8, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 19}
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id: 619983
{'charpoly_factorization': [[[512, -256, 96, -16, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 23}
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id: 619984
{'charpoly_factorization': [[[32, 32, 8, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 29}
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id: 619985
{'charpoly_factorization': [[[32, 32, 8, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 31}
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id: 619986
{'charpoly_factorization': [[[128, 0, 16, 8, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 37}
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id: 619987
{'charpoly_factorization': [[[4802, -196, 66, -16, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 41}
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id: 619988
{'charpoly_factorization': [[[324, -216, 72, 12, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 43}
-
id: 619989
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 47}
-
id: 619990
{'charpoly_factorization': [[[16, -32, 32, -8, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 53}
-
id: 619991
{'charpoly_factorization': [[[4, 8, 8, -4, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 59}
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id: 619992
{'charpoly_factorization': [[[512, -256, 96, -16, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 61}
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id: 619993
{'charpoly_factorization': [[[34, -12, 1], 2]], 'hecke_orbit_code': 4505042769936656, 'p': 67}
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id: 619994
{'charpoly_factorization': [[[128, 0, 16, -8, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 71}
-
id: 619995
{'charpoly_factorization': [[[4802, 1372, 98, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 73}
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id: 619996
{'charpoly_factorization': [[[128, -128, 48, -8, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 79}
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id: 619997
{'charpoly_factorization': [[[196, 168, 72, 12, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 83}
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id: 619998
{'charpoly_factorization': [[[196, 0, 228, 0, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 89}
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id: 619999
{'charpoly_factorization': [[[162, 108, 54, 12, 1], 1]], 'hecke_orbit_code': 4505042769936656, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 22, 'hecke_orbit': 2, 'label': '272.2.v.b', 'level': 272, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 24810805
{'hecke_orbit_code': 4505042769936656, 'n': 1, 'trace_an': 4}
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id: 24810806
{'hecke_orbit_code': 4505042769936656, 'n': 2, 'trace_an': 0}
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id: 24810807
{'hecke_orbit_code': 4505042769936656, 'n': 3, 'trace_an': 0}
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id: 24810808
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