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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [11, 1], [19, 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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-2, 0, 1]], [7, [2, -4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170412137, 'hecke_ring_generator_nbound': 2, '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': False, 'label': '5225.2.a.f', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '209.2.a.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(1-\\beta )q^{3}+(-2+\\beta )q^{6}+(2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5225.2.a', 'trace_display': [0, 2, 0, 4], 'trace_hash': 799570740608149468, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.922', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.229', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.489', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.481', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.820', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 0, 2, 0, 0, -4, 4, 0, 0, 0, -2, 0, 4, -4, 0, -8, -4, -8, -2, 0, 8, 0, 6, 8, 0, 12, 2, 0, -4, 0, -10, 0, -2, 4, 0, 0, -6, 0, -8, 0, 8, -12, -12, 0, 0, 0, -12, -8, -2, 0, -8, 0, -8, 4, 0, 8, -2, 12, -6, 0, -8, 4, 8, 16, 0, 4, 18, 0, 6, 0, -22, 16, -8, 20, 0, 0, -4, 4, -32, 0, -2, 16, -4, 0, 0, -16, -16, 0, -10, 0, -4, 0, -14, 8, 0, 0, -2, -16, 0, 0, 4, 12, -16, -24, 0, -24, -20, 0, -12, 0, -26, -16, 10, 4, 0, 0, -24, -4, -12, 0, 2, 20, -8, 0, 0, -16, 36, 0, 4, 0, 12, 0, -4, -4, 0, -8, -6, -12, 4, 0, -20, 4, -4, 0, 0, -24, 14, 0, 20, 0, -4, 0, -8, 4, 0, 0, -10, -4, 16, 0, 12, 24, 12, 0, 0, 4, 12, 24, 18, 0, 0, 0, 16, 20, 0, 8, -2, -28, 18, 0, -2, 16, -28, 0, 0, 24, 4, 0, 0, 0, -6, 16, -8, 4, 0, 0, -12, 8, -4, 0, 22, -12, -20, 0, 0, 16, 0, -16, 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1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.4142135623730951, 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170412137, 'label': '5225.2.a.f.1.1', 'level': 5225, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [32, 47, 43, 39, 36, 39, 37, 30], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, '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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 'num_forms': 29, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 286, 'sturm_bound': 1200, 'trace_bound': 7, 'trace_display': [2, 2, 0, 0], 'traces': [286, 2, 2, 288, 0, -4, 0, -6, 300, 0, 4, -24, 16, -4, 0, 300, 16, -22, 0, 0, 32, 0, -10, -20, 0, -20, 14, 32, 8, 0, 14, 10, 2, 20, 0, 360, 38, -6, -36, 0, -4, 64, -20, 18, 0, 48, -32, 28, 322, 0, -32, 84, 36, 16, 0, 44, 0, 4, -2, 0, 28, 28, -24, 268, 0, 8, -14, 56, 42, 0, -2, -30, 48, -44, 0, 0, -12, 84, 16, 0, 334, 36, -48, 168, 0, 24, -28, 0, 30, 0, 24, -28, -14, -72, 0, -4, 50, 42, -18, 0, -104, 16, 20, -44, 0, -20, 28, 48, -88, 0, -38, 40, 74, 8, 0, -28, 4, -100, 72, 0, 286, -52, -8, 68, 0, -92, 76, 50, -12, 0, 28, 8, -4, -20, 0, -76, -26, 16, 40, 0, -176, -92, 0, 368, 0, -236, 62, 12, -84, 0, 44, -30, 56, 40, 0, -256, 38, 112, -76, 0, -48, -190, 72, -252, 0, -56, -100, 144, 318, 0, -8, -96, -68, -340, 0, 38, -74, -84, -6, 0, 22, -80, 52, 104, 0, -120, 4, 8, -104, 0, 26, 44, 28, -44, 0, 364, -16, 44, 96, 0, 30, -100, 44, -32, 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222, -176, -8, 0, 132, 232, -140, 48, 0, -560, 116, -128, 396, 0, 142, -190, 56, 328, 0, 232, 12, -304, 544, 0, -68, 200, -32, 480, 0, 260, -196, 12, -140, 0, -600, 92, 8, -564, 0, 232, -132, -104, -504, 0, 124, 68, 36, 412, 0, 40, 244, -56, 144, 0, 116, -188, -20, -76, 0, -592, 200, -60, -72, 0, 32, -416, 32, 0, 0, 144, 356, -4, -194, 0, -236, 40, 152, 236, 0, 40, -150, 0, -296, 0, -178, 32, -268, -556, 0, 360, 0, -188, 208, 0, 684, 240, -256, -132, 0, -352, 228, -6, -64, 0, 154, -328, 304, 92, 0, 480, -110, 80, 98, 0, 140, -44, -58, -388, 0, 168, 128, 88, 412, 0, 152, 164, 46, -208, 0, -424, 80, 160, -202, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44944747
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170412137, 'source_is_minimal': False, 'source_label': '5225.2.a.f.1.1', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170412137, 'target_is_minimal': False, 'target_label': '5225.2.a.f.1.1', 'target_level': 5225, 'twist_class_label': '209.2.a.b.1.2', 'twist_class_level': 209, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44944748
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170412137, 'source_is_minimal': False, 'source_label': '5225.2.a.f.1.1', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660925137, 'target_is_minimal': True, 'target_label': '209.2.a.b.1.2', 'target_level': 209, 'twist_class_label': '209.2.a.b.1.2', 'twist_class_level': 209, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44944749
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170412137, 'source_is_minimal': False, 'source_label': '5225.2.a.f.1.1', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667801, 'target_is_minimal': False, 'target_label': '1881.2.a.d.1.1', 'target_level': 1881, 'twist_class_label': '209.2.a.b.1.2', 'twist_class_level': 209, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 44944750
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170412137, 'source_is_minimal': False, 'source_label': '5225.2.a.f.1.1', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189374224, 'target_is_minimal': False, 'target_label': '3344.2.a.n.1.2', 'target_level': 3344, 'twist_class_label': '209.2.a.b.1.2', 'twist_class_level': 209, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44944751
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170412137, 'source_is_minimal': False, 'source_label': '5225.2.a.f.1.1', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170409211, 'target_is_minimal': False, 'target_label': '2299.2.a.f.1.1', 'target_level': 2299, 'twist_class_label': '209.2.a.b.1.2', 'twist_class_level': 209, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 44944752
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170412137, 'source_is_minimal': False, 'source_label': '5225.2.a.f.1.1', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915669891, 'target_is_minimal': False, 'target_label': '3971.2.a.d.1.1', 'target_level': 3971, 'twist_class_label': '209.2.a.b.1.2', 'twist_class_level': 209, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3834625
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 2}
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id: 3834626
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 3}
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id: 3834627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170412137, 'p': 5}
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id: 3834628
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 7}
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id: 3834629
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 22517998170412137, 'p': 11}
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id: 3834630
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 13}
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id: 3834631
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 17}
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id: 3834632
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 22517998170412137, 'p': 19}
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id: 3834633
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 22517998170412137, 'p': 23}
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id: 3834634
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 29}
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id: 3834635
{'charpoly_factorization': [[[23, 10, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 31}
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id: 3834636
{'charpoly_factorization': [[[-41, 6, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 37}
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id: 3834637
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 41}
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id: 3834638
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 43}
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id: 3834639
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 47}
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id: 3834640
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 53}
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id: 3834641
{'charpoly_factorization': [[[7, 6, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 59}
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id: 3834642
{'charpoly_factorization': [[[-34, 8, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 61}
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id: 3834643
{'charpoly_factorization': [[[79, -18, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 67}
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id: 3834644
{'charpoly_factorization': [[[119, 22, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 71}
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id: 3834645
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 73}
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id: 3834646
{'charpoly_factorization': [[[254, 32, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 79}
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id: 3834647
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 83}
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id: 3834648
{'charpoly_factorization': [[[-73, 10, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 89}
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id: 3834649
{'charpoly_factorization': [[[-1, 2, 1], 1]], 'hecke_orbit_code': 22517998170412137, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '5225.2.a.f', 'level': 5225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 42609709
{'hecke_orbit_code': 22517998170412137, 'n': 1, 'trace_an': 2}
-
id: 42609710
{'hecke_orbit_code': 22517998170412137, 'n': 2, 'trace_an': 0}
-
id: 42609711
{'hecke_orbit_code': 22517998170412137, 'n': 3, 'trace_an': 2}
-
id: 42609712
{'hecke_orbit_code': 22517998170412137, 'n': 4, 'trace_an': 0}
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id: 42609713
{'hecke_orbit_code': 22517998170412137, 'n': 5, 'trace_an': 0}
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id: 42609714
{'hecke_orbit_code': 22517998170412137, 'n': 6, 'trace_an': -4}
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id: 42609715
{'hecke_orbit_code': 22517998170412137, 'n': 7, 'trace_an': 4}
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id: 42609716
{'hecke_orbit_code': 22517998170412137, 'n': 8, 'trace_an': 0}
-
id: 42609717
{'hecke_orbit_code': 22517998170412137, 'n': 9, 'trace_an': 0}
-
id: 42609718
{'hecke_orbit_code': 22517998170412137, 'n': 10, 'trace_an': 0}
-
id: 42609719
{'hecke_orbit_code': 22517998170412137, 'n': 11, 'trace_an': -2}
-
id: 42609720
{'hecke_orbit_code': 22517998170412137, 'n': 12, 'trace_an': 0}
-
id: 42609721
{'hecke_orbit_code': 22517998170412137, 'n': 13, 'trace_an': 4}
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