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mf_newforms • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 6, 'char_parity': 1, 'char_values': [126, 6, [29, 73], [5, 3]], 'cm_discs': [], 'conrey_index': 41, 'conrey_indexes': [41, 83], 'dim': 16, 'field_disc': 12629375392126102142976, 'field_disc_factorization': [[2, 28], [3, 12], [97, 4]], 'field_poly': [6561, 0, -4374, 0, 729, 0, 486, 0, -288, 0, 54, 0, 9, 0, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 824667275390, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 63, 15, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '126.2.m.a', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.m.a', 'prim_orbit_index': 15, 'qexp_display': 'q+\\beta _{10}q^{2}-\\beta _{1}q^{3}+\\beta _{5}q^{4}+(\\beta _{1}-\\beta _{6}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '126.2.m', 'trace_display': [0, 0, 0, 2], 'trace_hash': 2286448431689151799, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.095', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.253', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1557.282', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 6, 'char_parity': 1, 'char_values': [126, 6, [29, 73], [5, 3]], 'conrey_index': 41, 'cusp_dim': 40, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 824667275390, 'hecke_orbit_dims': [16], 'label': '126.2.m', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 56, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 15, 'relative_dim': 8, 'sturm_bound': 48, 'trace_bound': 0, 'trace_display': [0, 0, 0, 2], 'traces': [16, 0, 0, 8, 0, 0, 2, 0, 12, 0, -12, 0, 0, -6, 0, -8, 0, -12, 0, 0, 18, 0, -48, 0, -8, 0, 0, 4, -12, -24, 0, 0, 0, 0, 0, 12, -8, 0, -36, 0, 0, -12, 4, 0, 0, 24, 0, 0, -8, 60, 12, 0, 0, 0, 0, -6, 48, -12, 0, 24, 0, 0, 24, -16, 84, 0, -28, 0, 0, 0, 0, 0, 0, 36, 0, 0, 78, -24, -4, 0, 36, 0, 0, 18, -12, -24, 0, 0, 0, 0, 24, -48, -96, 0, 12, 0, 0, 0, -72, -16, 0, 24, 0, 0, -48, 0, 0, 0, -56, 0, 0, 2, 0, 24, 0, 0, 0, 0, -66, -12, 20, 0, 0, 0, 0, -66, -16, 0, 0, -12, 0, 0, -6, 0, 48, 0, -12, 0, 0, -12, -60, 12, 0, 0, 0, 0, 24, -4, -36, 0, 28, 0, 0, -36, 0, -36, 0, -72, 0, 0, 0, 96, 80, 0, -12, 0, 0, 18, -32, 0, 0, 8, 0, 0, 38, 12, 132, 0, 0, 0, 0, 12, 132, 12, 0, 36, 0, 0, -30, 48, 84, 0, 76, 0, 0, 8, 0, 48, 0, 60, 0, 0, 24, -24, 12, 0, 36, 0, 0, 84, 40, 0, 0, 0, 0, 0, -24, -156, -36, 0, -48, 0, 0, 0, -132, 24, 0, 24, 0, 0, -60, 12, 0, 0, 96, 0, 0, -18, -12, 24, 0, 0, 0, 0, -156, -48, -36, 0, -84, 0, 0, -30, -72, 12, 0, -8, 0, 0, -28, 0, -72, 0, -24, 0, 0, -42, 24, 28, 0, -132, 0, 0, -12, 24, -132, 0, -40, 0, 0, 0, 84, -24, 0, -24, 0, 0, 0, 12, -104, 0, -132, 0, 0, 36, 48, 0, 0, -120, 0, 0, -46, 144, 48, 0, 0, 0, 0, 78, 144, 24, 0, -36, 0, 0, 108, -8, 72, 0, -36, 0, 0, -24, 0, 36, 0, 72, 0, 0, 120, -84, 40, 0, 156, 0, 0, 0, -44, 48, 0, 12, 0, 0, -52, -24, 12, 0, 228, 0, 0, 0, -132, 0, 0, 72, 0, 0, 30, -24, 0, 0, 88, 0, 0, 12, -60, -36, 0, 0, 0, 0, 0, -84, -16, 0, 108, 0, 0, -78, -8, 12, 0, 24, 0, 0, 108, 0, -48, 0, -12, 0, 0, 12, 60, -60, 0, -108, 0, 0, -18, -8, -12, 0, 24, 0, 0, 120, 132, -24, 0, -132, 0, 0, 0, 204, -168, 0, 60, 0, 0, -12, 32, 0, 0, 0, 0, 0, 0, 132, -48, 0, 0, 0, 0, 144, 24, -28, 0, 24, 0, 0, 36, -48, -36, 0, -72, 0, 0, -2, 0, 84, 0, 0, 0, 0, 12, -36, -116, 0, 48, 0, 0, 78, -16, 12, 0, -24, 0, 0, 4, -168, -24, 0, 12, 0, 0, 0, 0, 0, 0, 12, 0, 0, -120, -20, 0, 0, -248, 0, 0, 36, -252, -60, 0, 0, 0, 0, -84, -156, 52, 0, -48, 0, 0, -48, 216, -36, 0, -8, 0, 0, -54, 0, -84, 0, -264, 0, 0, -168, 156, 12, 0, -132, 0, 0, -120, -60, -108, 0, 68, 0, 0, -12, 96, -24, 0, -120, 0, 0, 0, 132, 368, 0, -96, 0, 0, 72, -100, 0, 0, 144, 0, 0, 64, 168, -216, 0, 0, 0, 0, -12, -12, 48, 0, 84, 0, 0, 162, 24, -276, 0, 116, 0, 0, 54, 0, -12, 0, 120, 0, 0, 96, -24, 0, 0, 180, 0, 0, 48, 84, 120, 0, 4, 0, 0, 120, -36, 144, 0, 192, 0, 0, 0, -180, 56, 0, 96, 0, 0, 120, 60, 0, 0, 152, 0, 0, -18, -252, -72, 0, 0, 0, 0, 108, 0, -20, 0, 84, 0, 0, -96, 80, -72, 0, -48, 0, 0, -120, 0, 72, 0, -12, 0, 0, -120, 108, 48, 0, 48, 0, 0, -156, 40, 192, 0, -180, 0, 0, -72, 264, 120, 0, -144, 0, 0, 0, 240, -144, 0, -108, 0, 0, 30, 100, 0, 0, -64, 0, 0, -138, 12, 72, 0, 0, 0, 0, 126, 12, 4, 0, 12, 0, 0, 126, -96, 240, 0, -60, 0, 0, -38, 0, -48, 0, 12, 0, 0, -72, 24, 112, 0, -108, 0, 0, 0, 0, -24, 0, 0, 0, 0, -72, -156, 252, 0, 84, 0, 0, 0, -216, -120, 0, 12, 0, 0, -108, -12, 0, 0, 104, 0, 0, 0, -24, 72, 0, 0, 0, 0, -114, -252, -56, 0, -432, 0, 0, -24, -248, -144, 0, 24, 0, 0, 92, 0, -132, 0, -264, 0, 0, -144, 24, -76, 0, -96, 0, 0, -252, -36, 276, 0, 72, 0, 0, 16, 216, 12, 0, 60, 0, 0, 0, 96, -168, 0, 0, 0, 0, 36, -84, 0, 0, 120, 0, 0, 36, 72, -84, 0, 0, 0, 0, 24, -60, -180, 0, -36, 0, 0, 84, 24, -216, 0, -52, 0, 0, 18, 0, 72, 0, 276, 0, 0, -24, -108, -48, 0, 108, 0, 0, -12, -88, 48, 0, -40, 0, 0, -80, 0, 240, 0, 312, 0, 0, 0, -72, 0, 0, 192, 0, 0, 246, -36, 0, 0, -360, 0, 0, -12, -300, 24, 0, 0, 0, 0, 192, 0, 80, 0, 132, 0, 0, -108, -56, -48, 0, 48, 0, 0, 16, 0, -36, 0, 204, 0, 0, 6, 12, 96, 0, -132, 0, 0, 48, 12, 276, 0, 148, 0, 0, -168, 204, -24, 0, 36, 0, 0, 0, 120, 376, 0, 48, 0, 0, -30, -68, 0, 0, 24, 0, 0, 120, 24, 48, 0, 0, 0, 0, 150, -132, 48, 0, 144, 0, 0, -12, 144, 84, 0, 120, 0, 0, 18, 0, 0, 0, -12, 0, 0, -66, 0, 40, 0, 36, 0, 0, 12, -28, 144, 0, 132, 0, 0, 132, -96, 120, 0, -228, 0, 0, 0, 36, 144, 0, 120, 0, 0, 48, 36, 0, 0, 256, 0, 0, -48, -192, -120, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 9955613
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 83, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275390, 'target_is_minimal': True, 'target_label': '126.2.m.a.83.1', 'target_level': 126, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 9955614
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 824667275642, 'target_is_minimal': False, 'target_label': '378.2.m.a.251.5', 'target_level': 378, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9955615
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 209, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4507310512669680, 'target_is_minimal': False, 'target_label': '1008.2.cc.b.209.7', 'target_level': 1008, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9955616
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 227, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 755947799410, 'target_is_minimal': False, 'target_label': '882.2.l.a.227.8', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9955617
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 803, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504905330983794, 'target_is_minimal': False, 'target_label': '882.2.t.b.803.6', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9955618
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 803, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504905330983794, 'target_is_minimal': False, 'target_label': '882.2.t.b.803.7', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9955619
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 227, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 755947799410, 'target_is_minimal': False, 'target_label': '882.2.l.a.227.5', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 9955620
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 83, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 824667275390, 'target_is_minimal': True, 'target_label': '126.2.m.a.83.4', 'target_level': 126, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 9955621
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1133, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 206191985774, 'target_is_minimal': False, 'target_label': '1134.2.d.a.1133.8', 'target_level': 1134, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9955622
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 125, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 824667275642, 'target_is_minimal': False, 'target_label': '378.2.m.a.125.8', 'target_level': 378, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9955623
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 41, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 824667275390, 'target_is_minimal': True, 'target_label': '126.2.m.a.41.4', 'target_level': 126, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9955624
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1133, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 206191985774, 'target_is_minimal': False, 'target_label': '1134.2.d.a.1133.9', 'target_level': 1134, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 9955625
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 2897, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507310512671696, 'target_is_minimal': False, 'target_label': '3024.2.cc.b.2897.1', 'target_level': 3024, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 9955626
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575171670, 'target_is_minimal': False, 'target_label': '2646.2.l.b.521.1', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9955627
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504355575171670, 'target_is_minimal': False, 'target_label': '2646.2.l.b.521.4', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9955628
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1979, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1305703615062, 'target_is_minimal': False, 'target_label': '2646.2.t.a.1979.4', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 9955629
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1979, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305703615062, 'target_is_minimal': False, 'target_label': '2646.2.t.a.1979.1', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 9955630
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 824667275642, 'target_is_minimal': False, 'target_label': '378.2.m.a.251.8', 'target_level': 378, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 9955631
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 209, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507310512669680, 'target_is_minimal': False, 'target_label': '1008.2.cc.b.209.2', 'target_level': 1008, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 9955632
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 545, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507310512669680, 'target_is_minimal': False, 'target_label': '1008.2.cc.b.545.2', 'target_level': 1008, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 9955633
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4507310512671696, 'target_is_minimal': False, 'target_label': '3024.2.cc.b.881.8', 'target_level': 3024, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 9955634
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504355575171670, 'target_is_minimal': False, 'target_label': '2646.2.l.b.1097.8', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9955635
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 815, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504905330983794, 'target_is_minimal': False, 'target_label': '882.2.t.b.815.7', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9955636
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 125, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 824667275642, 'target_is_minimal': False, 'target_label': '378.2.m.a.125.5', 'target_level': 378, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 9955637
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1133, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985774, 'target_is_minimal': False, 'target_label': '1134.2.d.a.1133.1', 'target_level': 1134, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 9955638
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 815, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504905330983794, 'target_is_minimal': False, 'target_label': '882.2.t.b.815.6', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 9955639
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355575171670, 'target_is_minimal': False, 'target_label': '2646.2.l.b.1097.5', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 9955640
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 509, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799410, 'target_is_minimal': False, 'target_label': '882.2.l.a.509.1', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 9955641
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 1133, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 206191985774, 'target_is_minimal': False, 'target_label': '1134.2.d.a.1133.16', 'target_level': 1134, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 9955642
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 2285, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1305703615062, 'target_is_minimal': False, 'target_label': '2646.2.t.a.2285.4', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 9955643
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 41, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275390, 'target_is_minimal': True, 'target_label': '126.2.m.a.41.1', 'target_level': 126, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 9955644
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 2285, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305703615062, 'target_is_minimal': False, 'target_label': '2646.2.t.a.2285.1', 'target_level': 2646, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 9955645
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 509, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 755947799410, 'target_is_minimal': False, 'target_label': '882.2.l.a.509.4', 'target_level': 882, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 9955646
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 2897, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4507310512671696, 'target_is_minimal': False, 'target_label': '3024.2.cc.b.2897.8', 'target_level': 3024, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 9955647
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 881, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507310512671696, 'target_is_minimal': False, 'target_label': '3024.2.cc.b.881.1', 'target_level': 3024, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '252.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 9955648
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275390, 'source_is_minimal': True, 'source_label': '126.2.m.a.83.1', 'source_level': 126, 'target_conrey_index': 545, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4507310512669680, 'target_is_minimal': False, 'target_label': '1008.2.cc.b.545.7', 'target_level': 1008, 'twist_class_label': '126.2.m.a.41.1', 'twist_class_level': 126, 'twisting_char_label': '252.167', 'twisting_conrey_index': 167, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 349400
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 824667275390, 'p': 2}
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id: 349401
{'charpoly_factorization': [[[6561, 0, -4374, 0, 729, 0, 486, 0, -288, 0, 54, 0, 9, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 3}
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id: 349402
{'charpoly_factorization': [[[1296, 0, 10368, 0, 77436, 0, 42336, 0, 16461, 0, 3096, 0, 423, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 5}
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id: 349403
{'charpoly_factorization': [[[5764801, -1647086, 705894, 134456, -139258, 76146, -5096, -4634, 3483, -662, -104, 222, -58, 8, 6, -2, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 7}
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id: 349404
{'charpoly_factorization': [[[1296, -2592, 972, 1512, 261, -126, -9, 6, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 11}
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id: 349405
{'charpoly_factorization': [[[331776, 0, -497664, 0, 559872, 0, -238464, 0, 73296, 0, -9936, 0, 972, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 13}
-
id: 349406
{'charpoly_factorization': [[[576, 0, -1296, 0, 477, 0, -42, 0, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 17}
-
id: 349407
{'charpoly_factorization': [[[1521, 0, 1854, 0, 594, 0, 54, 0, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 19}
-
id: 349408
{'charpoly_factorization': [[[443556, 227772, 17010, -11286, -981, 792, 225, 24, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 23}
-
id: 349409
{'charpoly_factorization': [[[20736, -10368, -2592, 2160, 612, -180, -18, 6, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 29}
-
id: 349410
{'charpoly_factorization': [[[557256278016, 0, -92876046336, 0, 10400182272, 0, -631535616, 0, 27632016, 0, -730944, 0, 13932, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 31}
-
id: 349411
{'charpoly_factorization': [[[1336, -184, -102, 2, 1], 4]], 'hecke_orbit_code': 824667275390, 'p': 37}
-
id: 349412
{'charpoly_factorization': [[[73499483897856, 0, 6883786653696, 0, 448658922240, 0, 13938763392, 0, 307258425, 0, 4294314, 0, 43695, 0, 258, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 41}
-
id: 349413
{'charpoly_factorization': [[[10816, -15392, 17848, -6188, 1921, -218, 43, -2, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 43}
-
id: 349414
{'charpoly_factorization': [[[1485512441856, 0, 399459631104, 0, 87539678208, 0, 4759817472, 0, 186073488, 0, 3258432, 0, 41292, 0, 240, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 47}
-
id: 349415
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 824667275390, 'p': 53}
-
id: 349416
{'charpoly_factorization': [[[1296, 0, 2901744, 0, 6496369452, 0, 1422558828, 0, 287789589, 0, 5027598, 0, 68787, 0, 294, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 59}
-
id: 349417
{'charpoly_factorization': [[[2425818710016, 0, -545450360832, 0, 96222587904, 0, -5193676800, 0, 202203801, 0, -3371184, 0, 40635, 0, -240, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 61}
-
id: 349418
{'charpoly_factorization': [[[824464, 1507280, 2654812, 209684, 36469, 1766, 307, 14, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 67}
-
id: 349419
{'charpoly_factorization': [[[82944, 0, 31104, 0, 2745, 0, 90, 0, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 71}
-
id: 349420
{'charpoly_factorization': [[[1710864, 0, 246816, 0, 12069, 0, 222, 0, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 73}
-
id: 349421
{'charpoly_factorization': [[[1444804, 935156, 450226, 105170, 19399, 1298, 133, 2, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 79}
-
id: 349422
{'charpoly_factorization': [[[337116351515590656, 0, 10214329542377472, 0, 207879529033728, 0, 2256409253376, 0, 17587710864, 0, 88712784, 0, 326268, 0, 708, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 83}
-
id: 349423
{'charpoly_factorization': [[[186624, 0, -155520, 0, 12960, 0, -216, 0, 1], 2]], 'hecke_orbit_code': 824667275390, 'p': 89}
-
id: 349424
{'charpoly_factorization': [[[4512402164941056, 0, -390697151362560, 0, 24485300891568, 0, -714581204256, 0, 15192293193, 0, -85999734, 0, 353727, 0, -702, 0, 1], 1]], 'hecke_orbit_code': 824667275390, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 1, 'label': '126.2.m.a', 'level': 126, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 43313000
{'hecke_orbit_code': 824667275390, 'n': 1, 'trace_an': 16}
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id: 43313001
{'hecke_orbit_code': 824667275390, 'n': 2, 'trace_an': 0}
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id: 43313002
{'hecke_orbit_code': 824667275390, 'n': 3, 'trace_an': 0}
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id: 43313003
{'hecke_orbit_code': 824667275390, 'n': 4, 'trace_an': 8}
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id: 43313004
{'hecke_orbit_code': 824667275390, 'n': 5, 'trace_an': 0}
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id: 43313005
{'hecke_orbit_code': 824667275390, 'n': 6, 'trace_an': 0}
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id: 43313006
{'hecke_orbit_code': 824667275390, 'n': 7, 'trace_an': 2}
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id: 43313007
{'hecke_orbit_code': 824667275390, 'n': 8, 'trace_an': 0}
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id: 43313008
{'hecke_orbit_code': 824667275390, 'n': 9, 'trace_an': 12}
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id: 43313009
{'hecke_orbit_code': 824667275390, 'n': 10, 'trace_an': 0}
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id: 43313010
{'hecke_orbit_code': 824667275390, 'n': 11, 'trace_an': -12}
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id: 43313011
{'hecke_orbit_code': 824667275390, 'n': 12, 'trace_an': 0}
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id: 43313012
{'hecke_orbit_code': 824667275390, 'n': 13, 'trace_an': 0}
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id: 43313013
{'hecke_orbit_code': 824667275390, 'n': 14, 'trace_an': -6}
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id: 43313014
{'hecke_orbit_code': 824667275390, 'n': 15, 'trace_an': 0}
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id: 43313015
{'hecke_orbit_code': 824667275390, 'n': 16, 'trace_an': -8}
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id: 43313016
{'hecke_orbit_code': 824667275390, 'n': 17, 'trace_an': 0}
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id: 43313017
{'hecke_orbit_code': 824667275390, 'n': 18, 'trace_an': -12}
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id: 43313018
{'hecke_orbit_code': 824667275390, 'n': 19, 'trace_an': 0}
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id: 43313019
{'hecke_orbit_code': 824667275390, 'n': 20, 'trace_an': 0}
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id: 43313020
{'hecke_orbit_code': 824667275390, 'n': 21, 'trace_an': 18}
-
id: 43313021
{'hecke_orbit_code': 824667275390, 'n': 22, 'trace_an': 0}
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id: 43313022
{'hecke_orbit_code': 824667275390, 'n': 23, 'trace_an': -48}
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id: 43313023
{'hecke_orbit_code': 824667275390, 'n': 24, 'trace_an': 0}
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id: 43313024
{'hecke_orbit_code': 824667275390, 'n': 25, 'trace_an': -8}
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id: 43313025
{'hecke_orbit_code': 824667275390, 'n': 26, 'trace_an': 0}
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id: 43313026
{'hecke_orbit_code': 824667275390, 'n': 27, 'trace_an': 0}
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id: 43313027
{'hecke_orbit_code': 824667275390, 'n': 28, 'trace_an': 4}
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id: 43313028
{'hecke_orbit_code': 824667275390, 'n': 29, 'trace_an': -12}
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id: 43313029
{'hecke_orbit_code': 824667275390, 'n': 30, 'trace_an': -24}
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id: 43313030
{'hecke_orbit_code': 824667275390, 'n': 31, 'trace_an': 0}
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id: 43313031
{'hecke_orbit_code': 824667275390, 'n': 32, 'trace_an': 0}
-
id: 43313032
{'hecke_orbit_code': 824667275390, 'n': 33, 'trace_an': 0}
-
id: 43313033
{'hecke_orbit_code': 824667275390, 'n': 34, 'trace_an': 0}
-
id: 43313034
{'hecke_orbit_code': 824667275390, 'n': 35, 'trace_an': 0}
-
id: 43313035
{'hecke_orbit_code': 824667275390, 'n': 36, 'trace_an': 12}
-
id: 43313036
{'hecke_orbit_code': 824667275390, 'n': 37, 'trace_an': -8}
-
id: 43313037
{'hecke_orbit_code': 824667275390, 'n': 38, 'trace_an': 0}
-
id: 43313038
{'hecke_orbit_code': 824667275390, 'n': 39, 'trace_an': -36}
-
id: 43313039
{'hecke_orbit_code': 824667275390, 'n': 40, 'trace_an': 0}
-
id: 43313040
{'hecke_orbit_code': 824667275390, 'n': 41, 'trace_an': 0}
-
id: 43313041
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