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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 22, 'conrey_indexes': [22, 211], 'dim': 6, 'field_disc': -6040683, 'field_disc_factorization': [[-1, 1], [3, 3], [11, 2], [43, 2]], 'field_poly': [1, -5, 25, -2, 5, 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': [[2, [1, 5, 25, 2, 5, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692561, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '273.2.k.b', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '273.2.k.b', 'nf_label': '6.0.6040683.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}+\\beta _{2})q^{2}+(1-\\beta _{4})q^{3}+(\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '273.2.k', 'trace_display': [0, 3, 4, -3], 'trace_hash': 589097570648365792, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.722', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.365', 'prec': 17}, {'__RealLiteral__': 0, 'data': '137.099', 'prec': 24}, {'__RealLiteral__': 0, 'data': '68.762', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5915.923', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [6, 0, 3, -4, 4, 0, -3, -6, -3, 7, -8, -8, 10, 0, 2, -2, -12, 0, -3, 11, -6, 7, 7, -3, 14, 16, -6, -4, -9, -7, 10, 1, 8, 20, -2, -4, 0, 40, 2, -18, -6, 0, 7, -6, -2, -3, 18, 2, -3, -16, -24, 12, -26, 0, -26, 3, -6, 10, -11, 22, -19, 27, -3, -62, -14, 14, -21, -13, -7, -14, -22, 3, -28, 19, 7, 2, 16, 23, -2, -22, -3, -40, 64, 4, -1, 6, 9, 15, 3, -14, -8, -52, 5, -1, 12, 2, 21, 0, 16, 27, -7, 10, 26, -3, -4, 6, -6, 4, 14, -2, 0, 4, 3, 20, -9, 30, -8, 10, -12, -9, -9, 52, 6, 1, 30, 0, 8, -5, 14, 25, -40, -3, -3, -30, -4, 2, -11, -6, -3, 11, 9, -46, 15, 4, -13, 3, 3, 106, -10, 16, 20, -17, -12, 7, 76, -27, -38, -33, -13, -34, -14, 0, 49, -8, 26, -33, 7, 6, -24, -70, -3, 26, 3, 20, -7, -26, -22, 40, 1, 11, 18, 7, -38, -10, 34, -27, 50, -59, 3, -42, -35, -31, 19, 42, -19, 8, 36, 7, -20, 18, 21, 63, 18, 13, 24, -8, -14, 19, -12, 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mf_hecke_cc • Show schema
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3, 'embedding_index': 3, 'embedding_m': 6, 'embedding_root_imag': 2.0178900607758217, 'embedding_root_real': -1.165029369783991, 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692561, 'label': '273.2.k.b.211.3', 'level': 273, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 3, 2]], 'conrey_index': 22, 'cusp_dim': 68, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322065, 'hecke_orbit_dims': [6, 6, 6, 6], 'label': '273.2.k', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 84, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 74, 'trace_bound': 3, 'trace_display': [4, 0, 16, 0], 'traces': [24, 4, 0, -8, 16, 0, 0, -24, -12, 4, -4, -16, 4, 0, -4, 8, -20, -8, 8, 20, 0, -4, -8, 0, 40, -20, 0, 0, -12, 16, -8, -12, -4, 32, 4, -8, -8, 56, 8, 16, -16, 4, 28, -48, -8, 20, -48, 0, -12, -4, -24, -20, 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mf_twists_cc • Show schema
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id: 36053958
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504286855692561, 'source_is_minimal': True, 'source_label': '273.2.k.b.211.3', 'source_level': 273, 'target_conrey_index': 211, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692561, 'target_is_minimal': True, 'target_label': '273.2.k.b.211.3', 'target_level': 273, 'twist_class_label': '273.2.k.b.22.3', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36053959
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504286855692561, 'source_is_minimal': True, 'source_label': '273.2.k.b.211.3', 'source_level': 273, 'target_conrey_index': 757, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518960243082035, 'target_is_minimal': False, 'target_label': '819.2.o.f.757.1', 'target_level': 819, 'twist_class_label': '273.2.k.b.22.3', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36053960
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504286855692561, 'source_is_minimal': True, 'source_label': '273.2.k.b.211.3', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562003933, 'target_is_minimal': False, 'target_label': '3549.2.a.m.1.1', 'target_level': 3549, 'twist_class_label': '273.2.k.b.22.3', 'twist_class_level': 273, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36053961
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504286855692561, 'source_is_minimal': True, 'source_label': '273.2.k.b.211.3', 'source_level': 273, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692561, 'target_is_minimal': True, 'target_label': '273.2.k.b.22.3', 'target_level': 273, 'twist_class_label': '273.2.k.b.22.3', 'twist_class_level': 273, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 36053962
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504286855692561, 'source_is_minimal': True, 'source_label': '273.2.k.b.211.3', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595934633437, 'target_is_minimal': False, 'target_label': '3549.2.a.l.1.3', 'target_level': 3549, 'twist_class_label': '273.2.k.b.22.3', 'twist_class_level': 273, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 36053963
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504286855692561, 'source_is_minimal': True, 'source_label': '273.2.k.b.211.3', 'source_level': 273, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518960243082035, 'target_is_minimal': False, 'target_label': '819.2.o.f.568.1', 'target_level': 819, 'twist_class_label': '273.2.k.b.22.3', 'twist_class_level': 273, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 624125
{'charpoly_factorization': [[[1, 5, 25, 2, 5, 0, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 2}
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id: 624126
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 4504286855692561, 'p': 3}
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id: 624127
{'charpoly_factorization': [[[9, -9, -2, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 5}
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id: 624128
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 4504286855692561, 'p': 7}
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id: 624129
{'charpoly_factorization': [[[121, -121, 209, 110, 53, 8, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 11}
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id: 624130
{'charpoly_factorization': [[[2197, -1690, 806, -265, 62, -10, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 13}
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id: 624131
{'charpoly_factorization': [[[1849, 1849, 1333, 430, 101, 12, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 17}
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id: 624132
{'charpoly_factorization': [[[729, 459, 370, 3, 26, 3, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 19}
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id: 624133
{'charpoly_factorization': [[[225, 120, 169, -86, 41, -7, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 23}
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id: 624134
{'charpoly_factorization': [[[169, 286, 367, 172, 59, 9, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 29}
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id: 624135
{'charpoly_factorization': [[[169, -36, -5, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 31}
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id: 624136
{'charpoly_factorization': [[[16129, 11303, 7921, 254, 89, 0, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 37}
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id: 624137
{'charpoly_factorization': [[[46656, 14688, 5920, 24, 104, 6, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 41}
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id: 624138
{'charpoly_factorization': [[[225, 120, 169, -86, 41, -7, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 43}
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id: 624139
{'charpoly_factorization': [[[405, -44, -9, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 47}
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id: 624140
{'charpoly_factorization': [[[3, 23, 13, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 53}
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id: 624141
{'charpoly_factorization': [[[2673225, 258330, 42949, 1532, 279, 11, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 59}
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id: 624142
{'charpoly_factorization': [[[75625, -15125, 8250, 1595, 306, 19, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 61}
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id: 624143
{'charpoly_factorization': [[[1, 102, 10383, 2140, 339, 21, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 67}
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id: 624144
{'charpoly_factorization': [[[47961, 27813, 11311, 2356, 357, 22, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 71}
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id: 624145
{'charpoly_factorization': [[[71, 57, 14, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 73}
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id: 624146
{'charpoly_factorization': [[[163, -62, 1, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 79}
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id: 624147
{'charpoly_factorization': [[[-365, 279, -32, 1], 2]], 'hecke_orbit_code': 4504286855692561, 'p': 83}
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id: 624148
{'charpoly_factorization': [[[20449, -11011, 6358, -55, 86, -3, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 89}
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id: 624149
{'charpoly_factorization': [[[139129, 20142, 10749, -1880, 387, -21, 1], 1]], 'hecke_orbit_code': 4504286855692561, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '273.2.k.b', 'level': 273, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 91614000
{'hecke_orbit_code': 4504286855692561, 'n': 1, 'trace_an': 6}
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id: 91614001
{'hecke_orbit_code': 4504286855692561, 'n': 2, 'trace_an': 0}
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id: 91614002
{'hecke_orbit_code': 4504286855692561, 'n': 3, 'trace_an': 3}
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id: 91614003
{'hecke_orbit_code': 4504286855692561, 'n': 4, 'trace_an': -4}
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id: 91614004
{'hecke_orbit_code': 4504286855692561, 'n': 5, 'trace_an': 4}
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id: 91614005
{'hecke_orbit_code': 4504286855692561, 'n': 6, 'trace_an': 0}
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id: 91614006
{'hecke_orbit_code': 4504286855692561, 'n': 7, 'trace_an': -3}
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id: 91614007
{'hecke_orbit_code': 4504286855692561, 'n': 8, 'trace_an': -6}
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id: 91614008
{'hecke_orbit_code': 4504286855692561, 'n': 9, 'trace_an': -3}
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id: 91614009
{'hecke_orbit_code': 4504286855692561, 'n': 10, 'trace_an': 7}
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id: 91614010
{'hecke_orbit_code': 4504286855692561, 'n': 11, 'trace_an': -8}
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id: 91614011
{'hecke_orbit_code': 4504286855692561, 'n': 12, 'trace_an': -8}
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id: 91614012
{'hecke_orbit_code': 4504286855692561, 'n': 13, 'trace_an': 10}
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id: 91614013
{'hecke_orbit_code': 4504286855692561, 'n': 14, 'trace_an': 0}
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id: 91614014
{'hecke_orbit_code': 4504286855692561, 'n': 15, 'trace_an': 2}
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id: 91614015
{'hecke_orbit_code': 4504286855692561, 'n': 16, 'trace_an': -2}
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id: 91614016
{'hecke_orbit_code': 4504286855692561, 'n': 17, 'trace_an': -12}
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id: 91614017
{'hecke_orbit_code': 4504286855692561, 'n': 18, 'trace_an': 0}
-
id: 91614018
{'hecke_orbit_code': 4504286855692561, 'n': 19, 'trace_an': -3}
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id: 91614019
{'hecke_orbit_code': 4504286855692561, 'n': 20, 'trace_an': 11}
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id: 91614020
{'hecke_orbit_code': 4504286855692561, 'n': 21, 'trace_an': -6}
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id: 91614021
{'hecke_orbit_code': 4504286855692561, 'n': 22, 'trace_an': 7}
-
id: 91614022
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id: 91614998
{'hecke_orbit_code': 4504286855692561, 'n': 999, 'trace_an': 0}
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id: 91614999
{'hecke_orbit_code': 4504286855692561, 'n': 1000, 'trace_an': 48}