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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [31, -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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 17428, 'field_disc_factorization': [[2, 2], [4357, 1]], 'field_poly': [6, 4, -6, -1, 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': [[7, [16, 24, -4, -5, 1]], [11, [24, 20, -10, -3, 1]], [13, [64, 56, -12, -6, 1]], [17, [48, -80, -40, 0, 1]], [19, [64, 48, -12, -7, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618895078, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2790.2.a.bk', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '2790.2.a.bj', 'nf_label': '4.4.17428.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{5}+(1-\\beta _{2})q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2790.2.a', 'trace_display': [4, 0, 4, 5], 'trace_hash': 270457664946172242, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.564', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.221', 'prec': 20}, {'__RealLiteral__': 0, 'data': '8.203', 'prec': 17}, {'__RealLiteral__': 0, 'data': '664.387', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [4, 4, 0, 4, 4, 0, 5, 4, 0, 4, 3, 0, 6, 5, 0, 4, 0, 0, 7, 4, 0, 3, 1, 0, 4, 6, 0, 5, 4, 0, 4, 4, 0, 0, 5, 0, 6, 7, 0, 4, 4, 0, 13, 3, 0, 1, -4, 0, 5, 4, 0, 6, -5, 0, 3, 5, 0, 4, 8, 0, -4, 4, 0, 4, 6, 0, 8, 0, 0, 5, -1, 0, 15, 6, 0, 7, -23, 0, 5, 4, 0, 4, -2, 0, 0, 13, 0, 3, -9, 0, 16, 1, 0, -4, 7, 0, 10, 5, 0, 4, 1, 0, 24, 6, 0, -5, -19, 0, 18, 3, 0, 5, -3, 0, 1, 4, 0, 8, 2, 0, -15, -4, 0, 4, 4, 0, 2, 4, 0, 6, 10, 0, 27, 8, 0, 0, -14, 0, 14, 5, 0, -1, -4, 0, 4, 15, 0, 6, -9, 0, -16, 7, 0, -23, 4, 0, 5, 5, 0, 4, -19, 0, 50, 4, 0, -2, -27, 0, 8, 0, 0, 13, -26, 0, 5, 3, 0, -9, -18, 0, 11, 16, 0, 1, 6, 0, -2, -4, 0, 7, 14, 0, 20, 10, 0, 5, -68, 0, 17, 4, 0, 1, -12, 0, 4, 24, 0, 6, -13, 0, -5, 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2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.7877105974265176, 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618895078, 'label': '2790.2.a.bk.1.2', 'level': 2790, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [31, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [31, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [31, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [31, 1]], 3, 3], [[[2, 1], [3, 1], [5, 1], [31, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [31, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [31, -1]], 4, 1], [[[2, 1], [3, 1], [5, -1], [31, 1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [31, 1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [31, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [31, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [31, -1]], 4, 1], [[[2, 1], [3, -1], [5, 1], [31, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [31, 1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [31, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [31, -1]], 4, 4]], 'ALdims': [2, 4, 3, 1, 3, 5, 3, 5, 3, 1, 2, 4, 4, 4, 5, 1], 'Nk2': 11160, 'analytic_conductor': 22.278262163937228, '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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 50, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33557222, '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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '2790.2.a', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 592, 'mf_new_dim': 50, 'num_forms': 37, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [-2, 0, -2, 0], 'traces': [50, -2, 0, 50, -2, 0, 0, -2, 0, 2, -8, 0, 0, 0, 0, 50, 4, 0, 24, -2, 0, 12, 8, 0, 50, 4, 0, 0, -28, 0, 0, -2, 0, -4, 0, 0, -8, -16, 0, 2, -4, 0, 20, -8, 0, 16, -16, 0, 50, -2, 0, 0, 24, 0, -16, 0, 0, -16, -16, 0, 12, -8, 0, 50, 4, 0, 16, 4, 0, 16, 32, 0, 28, 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0, -24, 0, 0, -320, -164, 0, -20, -112, 0, -256, 12, 0, -196, 288, 0, -300, 80, 0, 16, 512, 0, -112, 96, 0, 68, -192, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48865273
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895078, 'source_is_minimal': True, 'source_label': '2790.2.a.bk.1.2', 'source_level': 2790, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618895078, 'target_is_minimal': True, 'target_label': '2790.2.a.bk.1.2', 'target_level': 2790, 'twist_class_label': '2790.2.a.bj.1.2', 'twist_class_level': 2790, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48865274
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895078, 'source_is_minimal': True, 'source_label': '2790.2.a.bk.1.2', 'source_level': 2790, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991524582, 'target_is_minimal': True, 'target_label': '2790.2.a.bj.1.2', 'target_level': 2790, 'twist_class_label': '2790.2.a.bj.1.2', 'twist_class_level': 2790, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2851950
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 162129586618895078, 'p': 2}
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id: 2851951
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586618895078, 'p': 3}
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id: 2851952
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 162129586618895078, 'p': 5}
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id: 2851953
{'charpoly_factorization': [[[16, 24, -4, -5, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 7}
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id: 2851954
{'charpoly_factorization': [[[24, 20, -10, -3, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 11}
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id: 2851955
{'charpoly_factorization': [[[64, 56, -12, -6, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 13}
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id: 2851956
{'charpoly_factorization': [[[48, -80, -40, 0, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 17}
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id: 2851957
{'charpoly_factorization': [[[64, 48, -12, -7, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 19}
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id: 2851958
{'charpoly_factorization': [[[-48, -80, -36, -1, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 23}
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id: 2851959
{'charpoly_factorization': [[[1536, 256, -96, -4, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 29}
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id: 2851960
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 162129586618895078, 'p': 31}
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id: 2851961
{'charpoly_factorization': [[[2272, 376, -100, -6, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 37}
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id: 2851962
{'charpoly_factorization': [[[1536, 256, -96, -4, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 41}
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id: 2851963
{'charpoly_factorization': [[[2624, 752, -68, -13, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 43}
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id: 2851964
{'charpoly_factorization': [[[1536, -320, -112, 4, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 47}
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id: 2851965
{'charpoly_factorization': [[[-24, -68, -38, 5, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 53}
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id: 2851966
{'charpoly_factorization': [[[3072, 848, -152, -8, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 59}
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id: 2851967
{'charpoly_factorization': [[[15376, -384, -256, 4, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 61}
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id: 2851968
{'charpoly_factorization': [[[-5552, 1968, -160, -8, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 67}
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id: 2851969
{'charpoly_factorization': [[[2136, -28, -98, 1, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 71}
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id: 2851970
{'charpoly_factorization': [[[-3008, 1136, -36, -15, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 73}
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id: 2851971
{'charpoly_factorization': [[[-64, -208, -156, -5, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 79}
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id: 2851972
{'charpoly_factorization': [[[-768, 640, -144, 2, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 83}
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id: 2851973
{'charpoly_factorization': [[[-3768, -2732, -238, 9, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 89}
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id: 2851974
{'charpoly_factorization': [[[-128, 840, -84, -10, 1], 1]], 'hecke_orbit_code': 162129586618895078, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '2790.2.a.bk', 'level': 2790, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 270886000
{'hecke_orbit_code': 162129586618895078, 'n': 1, 'trace_an': 4}
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id: 270886001
{'hecke_orbit_code': 162129586618895078, 'n': 2, 'trace_an': 4}
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id: 270886002
{'hecke_orbit_code': 162129586618895078, 'n': 3, 'trace_an': 0}
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id: 270886003
{'hecke_orbit_code': 162129586618895078, 'n': 4, 'trace_an': 4}
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id: 270886004
{'hecke_orbit_code': 162129586618895078, 'n': 5, 'trace_an': 4}
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id: 270886005
{'hecke_orbit_code': 162129586618895078, 'n': 6, 'trace_an': 0}
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id: 270886006
{'hecke_orbit_code': 162129586618895078, 'n': 7, 'trace_an': 5}
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id: 270886007
{'hecke_orbit_code': 162129586618895078, 'n': 8, 'trace_an': 4}
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id: 270886008
{'hecke_orbit_code': 162129586618895078, 'n': 9, 'trace_an': 0}
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id: 270886009
{'hecke_orbit_code': 162129586618895078, 'n': 10, 'trace_an': 4}
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id: 270886010
{'hecke_orbit_code': 162129586618895078, 'n': 11, 'trace_an': 3}
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id: 270886011
{'hecke_orbit_code': 162129586618895078, 'n': 12, 'trace_an': 0}
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id: 270886012
{'hecke_orbit_code': 162129586618895078, 'n': 13, 'trace_an': 6}
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id: 270886013
{'hecke_orbit_code': 162129586618895078, 'n': 14, 'trace_an': 5}
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id: 270886014
{'hecke_orbit_code': 162129586618895078, 'n': 15, 'trace_an': 0}
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id: 270886015
{'hecke_orbit_code': 162129586618895078, 'n': 16, 'trace_an': 4}
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id: 270886016
{'hecke_orbit_code': 162129586618895078, 'n': 17, 'trace_an': 0}
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id: 270886017
{'hecke_orbit_code': 162129586618895078, 'n': 18, 'trace_an': 0}
-
id: 270886018
{'hecke_orbit_code': 162129586618895078, 'n': 19, 'trace_an': 7}
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id: 270886019
{'hecke_orbit_code': 162129586618895078, 'n': 20, 'trace_an': 4}
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id: 270886020
{'hecke_orbit_code': 162129586618895078, 'n': 21, 'trace_an': 0}
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id: 270886021
{'hecke_orbit_code': 162129586618895078, 'n': 22, 'trace_an': 3}
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id: 270886022
{'hecke_orbit_code': 162129586618895078, 'n': 23, 'trace_an': 1}
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id: 270886023
{'hecke_orbit_code': 162129586618895078, 'n': 24, 'trace_an': 0}
-
id: 270886024
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id: 270886990
{'hecke_orbit_code': 162129586618895078, 'n': 991, 'trace_an': 17}
-
id: 270886991
{'hecke_orbit_code': 162129586618895078, 'n': 992, 'trace_an': 4}
-
id: 270886992
{'hecke_orbit_code': 162129586618895078, 'n': 993, 'trace_an': 0}
-
id: 270886993
{'hecke_orbit_code': 162129586618895078, 'n': 994, 'trace_an': -11}
-
id: 270886994
{'hecke_orbit_code': 162129586618895078, 'n': 995, 'trace_an': 17}
-
id: 270886995
{'hecke_orbit_code': 162129586618895078, 'n': 996, 'trace_an': 0}
-
id: 270886996
{'hecke_orbit_code': 162129586618895078, 'n': 997, 'trace_an': 30}
-
id: 270886997
{'hecke_orbit_code': 162129586618895078, 'n': 998, 'trace_an': -44}
-
id: 270886998
{'hecke_orbit_code': 162129586618895078, 'n': 999, 'trace_an': 0}
-
id: 270886999
{'hecke_orbit_code': 162129586618895078, 'n': 1000, 'trace_an': 4}