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{'Nk2': 23800, 'analytic_conductor': 47.510989202661825, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, 1], [17, 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': [5950, 1, [477, 2551, 2451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 6984045632, 'field_disc_factorization': [[2, 6], [2887, 1], [37799, 1]], 'field_poly': [4, -40, -32, 40, 17, -12, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -40, 32, 40, -17, -12, 2, 1]], [11, [-1264, -2376, 1360, 448, -194, -31, 7, 1]], [13, [-3072, -1792, 1548, 884, -36, -56, -1, 1]], [19, [-2116, -9544, 1956, 1464, -153, -74, 2, 1]]], 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911567166, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5950.2.a.cc', 'level': 5950, '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, 5, 7, 17], 'level_radical': 1190, 'minimal_twist': '1190.2.e.g', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5950.2.a', 'trace_display': [7, -2, 0, -7], 'trace_hash': 166456835011350331, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.407', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '126.734', 'prec': 24}, {'__RealLiteral__': 0, 'data': '11.363', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3938.197', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [7, 7, -2, 7, 0, -2, -7, 7, 7, 0, -7, -2, 1, -7, 0, 7, -7, 7, -2, 0, 2, -7, -27, -2, 0, 1, -17, -7, -10, 0, -18, 7, -8, -7, 0, 7, -12, -2, -25, 0, 17, 2, -7, -7, 0, -27, -8, -2, 7, 0, 2, 1, -20, -17, 0, -7, -25, -10, 0, 0, 1, -18, -7, 7, 0, -8, -7, -7, 3, 0, -11, 7, 7, -12, 0, -2, 7, -25, -26, 0, 11, 17, -22, 2, 0, -7, -20, -7, 21, 0, -1, -27, -25, -8, 0, -2, 19, 7, -44, 0, 17, 2, -3, 1, 0, -20, -30, -17, -34, 0, 60, -7, -42, -25, 0, -10, 26, 0, 7, 0, 34, 1, -48, -18, 0, -7, -13, 7, 23, 0, 34, -8, 2, -7, 0, -7, -40, 3, -10, 0, -10, 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mf_newspaces • Show schema
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{'ALdims': [8, 11, 10, 7, 10, 8, 10, 12, 10, 7, 8, 11, 10, 12, 10, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [47, 67, 62, 53, 62, 52, 54, 56, 50, 65, 64, 49, 58, 52, 56, 58], 'Nk2': 23800, 'analytic_conductor': 47.510989202661825, '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': [5950, 1, [477, 2551, 2451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1057, 'dim': 152, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13, 19], 'hecke_orbit_code': 33560382, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7], 'label': '5950.2.a', 'level': 5950, '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, 5, 7, 17], 'level_radical': 1190, 'mf_dim': 1104, 'mf_new_dim': 152, 'num_forms': 55, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 152, 'sturm_bound': 2160, 'trace_bound': 13, 'trace_display': [0, -8, 0, 0], 'traces': [152, 0, -8, 152, 0, 0, 0, 0, 144, 0, -4, -8, -8, -4, 0, 152, 0, -8, -8, 0, 0, 4, -16, 0, 0, 8, -8, 0, 4, 0, -16, 0, -16, 0, 0, 144, -20, -8, 16, 0, 16, 0, -8, -4, 0, 0, 16, -8, 152, 0, -4, -8, -24, -24, 0, -4, 24, 28, -40, 0, 8, 0, -8, 152, 0, -16, -8, 0, 112, 0, 104, -8, 16, -44, 0, -8, 0, -64, 8, 0, 224, 16, -8, 0, 0, 8, 80, 4, 144, 0, -4, -16, 0, 16, 0, 0, -16, 0, 100, 0, -40, 4, 16, 8, 0, 8, 44, -8, -68, 0, 128, 0, -24, -24, 0, 4, 40, -40, 0, 0, 112, 48, -40, -16, 0, -12, -64, 0, -64, 0, -80, -16, 12, -40, 0, 0, 24, 16, -64, 0, -8, -24, 64, 144, 0, -48, -8, -20, -80, 0, -80, -8, 16, -16, 0, 16, -8, 24, 144, 0, -8, 40, -132, 16, 0, -72, 16, 0, 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32, 0, -96, 4, -16, 96, 0, 8, -52, -96, -16, 0, 128, -8, -72, -24, 0, -296, -384, 64, -16, 0, -12, -64, -32, 240, 0, -4, 144, 72, -176, 0, -16, -64, 176, -56, 0, -216, 68, 120, -40, 0, 56, 24, 192, -64, 0, -88, 56, 16, 48, 0, 40, -72, -32, 40, 0, 240, -208, 28, -208, 0, -8, 80, 80, -40, 0, 104, 192, 0, -328, 0, 440, 0, 32, -40, 0, -288, 244, 64, -80, 0, -32, 4, -112, -216, 0, -16, 232, 80, -128, 0, 296, 176, 420, 16, 0, -64, -16, 40, 96, 0, -232, 88, -32, -128, 0, 8, 176, -240, -56, 0, 36, -176, 80, -8, 0, 16, 40, 64, 144, 0, -120, 0, -16, -80, 0, 24, 0, -132, -112, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49068854
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 243194379911567166, 'source_is_minimal': False, 'source_label': '5950.2.a.cc.1.7', 'source_level': 5950, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 243194379911567166, 'target_is_minimal': False, 'target_label': '5950.2.a.cc.1.7', 'target_level': 5950, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49068855
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 243194379911567166, 'source_is_minimal': False, 'source_label': '5950.2.a.cc.1.7', 'source_level': 5950, 'target_conrey_index': 239, 'target_dim': 14, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021872675685542, 'target_is_minimal': True, 'target_label': '1190.2.e.g.239.8', 'target_level': 1190, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49068856
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 243194379911567166, 'source_is_minimal': False, 'source_label': '5950.2.a.cc.1.7', 'source_level': 5950, 'target_conrey_index': 239, 'target_dim': 14, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27021872675685542, 'target_is_minimal': True, 'target_label': '1190.2.e.g.239.7', 'target_level': 1190, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49068857
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 243194379911567166, 'source_is_minimal': False, 'source_label': '5950.2.a.cc.1.7', 'source_level': 5950, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284196670, 'target_is_minimal': False, 'target_label': '5950.2.a.cb.1.1', 'target_level': 5950, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4047475
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 243194379911567166, 'p': 2}
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id: 4047476
{'charpoly_factorization': [[[-4, -40, 32, 40, -17, -12, 2, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 3}
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id: 4047477
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 243194379911567166, 'p': 5}
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id: 4047478
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 243194379911567166, 'p': 7}
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id: 4047479
{'charpoly_factorization': [[[-1264, -2376, 1360, 448, -194, -31, 7, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 11}
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id: 4047480
{'charpoly_factorization': [[[-3072, -1792, 1548, 884, -36, -56, -1, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 13}
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id: 4047481
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 243194379911567166, 'p': 17}
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id: 4047482
{'charpoly_factorization': [[[-2116, -9544, 1956, 1464, -153, -74, 2, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 19}
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id: 4047483
{'charpoly_factorization': [[[26496, -21296, -20096, -3248, 636, 249, 27, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 23}
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id: 4047484
{'charpoly_factorization': [[[-3144, -8056, -7680, -3420, -681, -24, 10, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 29}
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id: 4047485
{'charpoly_factorization': [[[457056, 268256, 31840, -7796, -1813, -14, 18, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 31}
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id: 4047486
{'charpoly_factorization': [[[-557056, 111104, 89280, 3560, -2008, -144, 12, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 37}
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id: 4047487
{'charpoly_factorization': [[[457984, 101776, -53664, -2592, 1740, -39, -17, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 41}
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id: 4047488
{'charpoly_factorization': [[[-13056, -39104, 34112, 5232, -1340, -179, 7, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 43}
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id: 4047489
{'charpoly_factorization': [[[-848832, -125312, 61472, 8736, -1259, -170, 8, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 47}
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id: 4047490
{'charpoly_factorization': [[[-155472, 91424, 36776, -5376, -1945, -14, 20, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 53}
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id: 4047491
{'charpoly_factorization': [[[324468, -607480, 14860, 28280, -231, -326, 0, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 59}
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id: 4047492
{'charpoly_factorization': [[[-1282048, -1430144, -45876, 45036, 496, -388, -1, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 61}
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id: 4047493
{'charpoly_factorization': [[[-11776, -182016, 2112, 13856, -566, -227, 7, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 67}
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id: 4047494
{'charpoly_factorization': [[[-1330944, 415232, 255024, 16064, -3296, -276, 11, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 71}
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id: 4047495
{'charpoly_factorization': [[[-260352, -243008, -17648, 14384, 952, -220, -7, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 73}
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id: 4047496
{'charpoly_factorization': [[[8699392, 5664320, 935200, -19920, -10112, -244, 26, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 79}
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id: 4047497
{'charpoly_factorization': [[[-334912, -197584, 220984, -9692, -6624, -224, 22, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 83}
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id: 4047498
{'charpoly_factorization': [[[-1418432, -1201312, -241968, 16480, 4620, -194, -21, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 89}
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id: 4047499
{'charpoly_factorization': [[[528064, 116576, -227536, 8592, 4916, -242, -19, 1], 1]], 'hecke_orbit_code': 243194379911567166, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '5950.2.a.cc', 'level': 5950, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 71831047
{'hecke_orbit_code': 243194379911567166, 'n': 1, 'trace_an': 7}
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id: 71831048
{'hecke_orbit_code': 243194379911567166, 'n': 2, 'trace_an': 7}
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id: 71831049
{'hecke_orbit_code': 243194379911567166, 'n': 3, 'trace_an': -2}
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id: 71831050
{'hecke_orbit_code': 243194379911567166, 'n': 4, 'trace_an': 7}
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id: 71831051
{'hecke_orbit_code': 243194379911567166, 'n': 5, 'trace_an': 0}
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id: 71831052
{'hecke_orbit_code': 243194379911567166, 'n': 6, 'trace_an': -2}
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id: 71831053
{'hecke_orbit_code': 243194379911567166, 'n': 7, 'trace_an': -7}
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id: 71831054
{'hecke_orbit_code': 243194379911567166, 'n': 8, 'trace_an': 7}
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id: 71831055
{'hecke_orbit_code': 243194379911567166, 'n': 9, 'trace_an': 7}
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id: 71831056
{'hecke_orbit_code': 243194379911567166, 'n': 10, 'trace_an': 0}
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id: 71831057
{'hecke_orbit_code': 243194379911567166, 'n': 11, 'trace_an': -7}
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id: 71831058
{'hecke_orbit_code': 243194379911567166, 'n': 12, 'trace_an': -2}
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id: 71831059
{'hecke_orbit_code': 243194379911567166, 'n': 13, 'trace_an': 1}
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id: 71831060
{'hecke_orbit_code': 243194379911567166, 'n': 14, 'trace_an': -7}
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id: 71831061
{'hecke_orbit_code': 243194379911567166, 'n': 15, 'trace_an': 0}
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id: 71831062
{'hecke_orbit_code': 243194379911567166, 'n': 16, 'trace_an': 7}
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id: 71831063
{'hecke_orbit_code': 243194379911567166, 'n': 17, 'trace_an': -7}
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id: 71831064
{'hecke_orbit_code': 243194379911567166, 'n': 18, 'trace_an': 7}
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id: 71831065
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