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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [13, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5070, 1, [1691, 4057, 1861], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [13, 5, -6, 1]], [11, [7, -7, 0, 1]], [17, [-7, 0, 7, 1]], [31, [-83, 69, -16, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147343310, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5070.2.a.bw', 'level': 5070, '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, 5, 13], 'level_radical': 390, 'minimal_twist': '5070.2.a.bp', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(2-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5070.2.a', 'trace_display': [3, 3, -3, 6], 'trace_hash': 2268761249206771271, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.890', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.198', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.697', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.299', 'prec': 17}, {'__RealLiteral__': 0, 'data': '213.420', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [3, 3, 3, 3, -3, 3, 6, 3, 3, -3, 0, 3, 0, 6, -3, 3, -7, 3, -1, -3, 6, 0, 3, 3, 3, 0, 3, 6, 0, -3, 16, 3, 0, -7, -6, 3, 20, -1, 0, -3, 17, 6, 9, 0, -3, 3, 7, 3, 5, 3, -7, 0, 3, 3, 0, 6, -1, 0, 7, -3, 5, 16, 6, 3, 0, 0, 17, -7, 3, -6, -7, 3, 3, 20, 3, -1, -7, 0, 17, -3, 3, 17, 6, 6, 7, 9, 0, 0, -3, -3, 0, 3, 16, 7, 1, 3, 24, 5, 0, 3, 6, -7, -25, 0, -6, 3, -27, 3, 22, 0, 20, 6, -1, -1, -3, 0, 0, 7, -21, -3, -19, 5, 17, 16, -3, 6, -25, 3, 9, 0, 23, 0, -16, 17, -3, -7, 5, 3, 3, -6, 7, -7, 0, 3, 0, 3, 5, 20, -17, 3, -3, -1, -7, -7, -16, 0, -22, 17, 3, -3, 13, 3, 11, 17, 0, 6, -6, 6, 0, 7, -1, 9, 17, 0, 6, 0, 7, -3, -37, -3, -10, 0, 5, 3, -20, 16, 21, 7, 6, 1, -19, 3, 46, 24, 0, 5, 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mf_newspaces • Show schema
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{'ALdims': [6, 7, 6, 7, 9, 3, 4, 9, 6, 7, 6, 7, 4, 9, 9, 3], 'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5070, 1, [1691, 4057, 1861], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1037, 'dim': 102, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 31], 'hecke_orbit_code': 33559502, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '5070.2.a', 'level': 5070, '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, 5, 13], 'level_radical': 390, 'mf_dim': 1148, 'mf_new_dim': 102, 'num_forms': 53, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 102, 'sturm_bound': 2184, 'trace_bound': 11, 'trace_display': [0, -2, 0, -4], 'traces': [102, 0, -2, 102, 0, 0, -4, 0, 102, -2, -12, -2, 0, -12, 0, 102, -8, 0, 0, 0, -4, -12, -8, 0, 102, 0, -2, -4, 8, -2, -8, 0, 12, 4, 4, 102, 16, -8, 0, -2, 12, 4, -8, -12, 0, -8, 16, -2, 102, 0, -8, 0, 16, 0, -12, -12, -8, 4, 20, 0, -4, 8, -4, 102, 0, 4, 8, -8, 8, 4, -8, 0, 20, 28, -2, 0, 16, 0, -8, 0, 102, 16, 0, -4, 12, 0, 8, -12, 36, -2, 0, -8, -16, 0, -8, 0, 28, 16, -12, 102, -40, 12, -20, 0, -12, 20, 16, -2, 12, 4, -8, -4, -16, -8, 0, 8, 0, -12, 40, -2, 78, 8, 20, -8, 0, -12, 172, 0, 200, 0, -84, 12, 176, -40, 0, 4, -32, 24, 184, 4, 16, -24, 0, 102, -20, -8, 174, 16, 16, 0, -32, -8, -8, 16, -24, 0, 176, -40, -32, -2, -64, 0, 24, 12, 4, -40, -40, 4, 0, 24, 0, -8, -64, 12, -4, -12, 12, -8, -92, 0, -4, 0, 204, -8, -4, -8, -56, 16, -4, -8, -56, -2, -44, 16, 0, 102, 16, -12, 176, 0, 0, 68, -24, -8, -32, -12, -8, 0, -48, 4, -8, 16, 40, -40, -16, 0, 256, -8, 4, -12, 0, -4, -52, -12, 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-48, 12, 0, 8, 8, -4, -120, 0, 160, -12, 16, -12, 232, 12, 36, -24, -8, -8, 144, -24, 0, -92, -40, -32, -256, 0, 16, -32, -36, -4, 8, -48, 164, 0, 102, 12, -64, 204, -64, 36, 16, -8, -160, 16, -16, -4, 0, 88, 80, -8, -28, 84, 0, -56, -16, -2, -120, 16, -36, 0, -32, -4, -72, 0, 160, -8, -28, -20, 40, -56, 12, -16, 0, -2, -20, 32, -48, -44, -48, 0, -8, 16, 152, 28, -32, 0, -112, 64, 8, 102, 52, 12, 120, 16, -136, -24, -56, -12, 0, -84, 12, 176, 48, 32, -32, 0, 36, -104, -8, 0, -16, 0, -72, 68, -116, -2, 56, -24, 40, 136, -40, -8, -112, 32, 0, -32, -72, 12, 68, -12, 12, 48, 168, -8, 60, -48, 104, 0, -200, -32, 40, -48, -16, 36, 96, 4, -6, 16, -52, -8, 0, 0, 44, 16, 64, 4, -32, 40, 16, 24, -8, -40, -56, 0, -72, -16, -104, -48, -24, 0, 4, 40, 58, 256, 128, 8, 0, -8, 28, 0, 4, 4, 120, 128, -32, -12, -44, 16, 112, 0, -12, -144, -56, -4, 208, -12, -12, -52, -144, 20, -12, -12, 0, -120, 128, 102, -168, 136, -32, -36, 8, -48, 24, -40, -40, 0, -16, -8, 0, -176, -56, -12, -80, 12, -216, -24, 40, -172, 0, 16, 16, -164, -20, 4, 116, -16, 16, -88, -72, -72, -40, 0, -164, 0, 164, 0, -80, 76, 0, 20, -12, -112, -248, 184, 0, -8, -16, -56, -224, 20, 40, -72, 72, -40, -248, 0, -122, 0, 16, -4, -40, -16, -20, -80, -64, -12, -308, -2, -16, -68, 0, -4, -56, -120, -40, 16, 12, 84, 0, -16, -92, 112, 0, 0, -224, 4, 64, 8, 8, -80, -64, -16, 224, -232, -8, -2], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49026309
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147343310, 'source_is_minimal': True, 'source_label': '5070.2.a.bw.1.2', 'source_level': 5070, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147343310, 'target_is_minimal': True, 'target_label': '5070.2.a.bw.1.2', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp.1.2', 'twist_class_level': 5070, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49026310
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147343310, 'source_is_minimal': True, 'source_label': '5070.2.a.bw.1.2', 'source_level': 5070, 'target_conrey_index': 1351, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112590059437298638, 'target_is_minimal': False, 'target_label': '5070.2.b.z.1351.2', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp.1.2', 'twist_class_level': 5070, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49026311
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147343310, 'source_is_minimal': True, 'source_label': '5070.2.a.bw.1.2', 'source_level': 5070, 'target_conrey_index': 1351, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 112590059437298638, 'target_is_minimal': False, 'target_label': '5070.2.b.z.1351.5', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp.1.2', 'twist_class_level': 5070, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49026312
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147343310, 'source_is_minimal': True, 'source_label': '5070.2.a.bw.1.2', 'source_level': 5070, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755749838, 'target_is_minimal': True, 'target_label': '5070.2.a.bp.1.2', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp.1.2', 'twist_class_level': 5070, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3790525
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 216172782147343310, 'p': 2}
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id: 3790526
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 216172782147343310, 'p': 3}
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id: 3790527
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 216172782147343310, 'p': 5}
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id: 3790528
{'charpoly_factorization': [[[13, 5, -6, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 7}
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id: 3790529
{'charpoly_factorization': [[[7, -7, 0, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 11}
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id: 3790530
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 216172782147343310, 'p': 13}
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id: 3790531
{'charpoly_factorization': [[[-7, 0, 7, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 17}
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id: 3790532
{'charpoly_factorization': [[[13, -16, 1, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 19}
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id: 3790533
{'charpoly_factorization': [[[-1, -4, -3, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 23}
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id: 3790534
{'charpoly_factorization': [[[-203, -91, 0, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 29}
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id: 3790535
{'charpoly_factorization': [[[-83, 69, -16, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 31}
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id: 3790536
{'charpoly_factorization': [[[97, 89, -20, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 37}
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id: 3790537
{'charpoly_factorization': [[[-113, 80, -17, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 41}
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id: 3790538
{'charpoly_factorization': [[[169, -22, -9, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 43}
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id: 3790539
{'charpoly_factorization': [[[-49, -49, -7, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 47}
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id: 3790540
{'charpoly_factorization': [[[13, -18, -3, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 53}
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id: 3790541
{'charpoly_factorization': [[[7, -14, -7, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 59}
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id: 3790542
{'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 61}
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id: 3790543
{'charpoly_factorization': [[[-71, 80, -17, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 67}
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id: 3790544
{'charpoly_factorization': [[[-49, 0, 7, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 71}
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id: 3790545
{'charpoly_factorization': [[[433, -130, -3, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 73}
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id: 3790546
{'charpoly_factorization': [[[587, 10, -17, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 79}
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id: 3790547
{'charpoly_factorization': [[[349, -121, -6, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 83}
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id: 3790548
{'charpoly_factorization': [[[-783, -144, 3, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 89}
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id: 3790549
{'charpoly_factorization': [[[-169, 143, -24, 1], 1]], 'hecke_orbit_code': 216172782147343310, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '5070.2.a.bw', 'level': 5070, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71429599
{'hecke_orbit_code': 216172782147343310, 'n': 1, 'trace_an': 3}
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id: 71429600
{'hecke_orbit_code': 216172782147343310, 'n': 2, 'trace_an': 3}
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id: 71429601
{'hecke_orbit_code': 216172782147343310, 'n': 3, 'trace_an': 3}
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id: 71429602
{'hecke_orbit_code': 216172782147343310, 'n': 4, 'trace_an': 3}
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id: 71429603
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