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mf_newforms • Show schema
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{'Nk2': 33124, 'analytic_conductor': 66.12411791382229, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -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': [8281, 1, [1522, 3382], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 24336, 'field_disc_factorization': [[2, 4], [3, 2], [13, 2]], 'field_poly': [-3, 12, -11, -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': 1, 'hecke_cutters': [[2, [-3, 0, 1]], [3, [0, 1]], [5, [-13, 0, 1]], [11, [-12, 0, 1]], [17, [-39, 0, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010494041, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 2, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 7, 2, -1, 2, 0]], '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': '8281.2.a.br', 'level': 8281, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.q.d', 'nf_label': '4.4.24336.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+q^{4}+\\beta _{3}q^{5}+\\beta _{2}q^{8}-3q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8281.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1377121696273590632, 'trace_moments': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [118, 130, 131, 123], 'ALdims_eis_new': [10, 12, 15, 18], 'ALdims_eis_old': [17, 16, 13, 10], 'ALdims_old': [74, 73, 74, 70], 'Nk2': 33124, 'analytic_conductor': 66.12411791382229, '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': [8281, 1, [1522, 3382], [1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 502, 'eis_dim': 111, 'eis_new_dim': 55, 'hecke_cutter_primes': [2, 3, 5, 11, 17], 'hecke_orbit_code': 33562713, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 24, 24, 24, 24, 32, 36, 36], 'label': '8281.2.a', 'level': 8281, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 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mf_twists_nf • Show schema
Hide schema
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id: 1384434
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '637.2.k.e', 'target_level': 637, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '91.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1384435
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '637.2.k.e', 'target_level': 637, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '91.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 1384436
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '637.2.q.d', 'target_level': 637, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1384437
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '637.2.q.d', 'target_level': 637, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '91.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 1384438
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.u.f', 'target_level': 637, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '91.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1384439
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.u.f', 'target_level': 637, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '91.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 1384440
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8281.2.a.br', 'target_level': 8281, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1384441
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8281.2.a.br', 'target_level': 8281, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1384442
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8281.2.a.br', 'target_level': 8281, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1384443
{'conductor': 91, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8281.2.a.br', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8281.2.a.br', 'target_level': 8281, 'twist_class_label': '637.2.q.d', 'twist_class_level': 637, 'twisting_char_label': '91.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4710775
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 2}
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id: 4710776
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 3}
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id: 4710777
{'charpoly_factorization': [[[-13, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 5}
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id: 4710778
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 7}
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id: 4710779
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 11}
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id: 4710780
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 13}
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id: 4710781
{'charpoly_factorization': [[[-39, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 17}
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id: 4710782
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 19}
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id: 4710783
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 23}
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id: 4710784
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 29}
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id: 4710785
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 31}
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id: 4710786
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 37}
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id: 4710787
{'charpoly_factorization': [[[-13, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 41}
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id: 4710788
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 43}
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id: 4710789
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 47}
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id: 4710790
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 53}
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id: 4710791
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 59}
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id: 4710792
{'charpoly_factorization': [[[-39, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 61}
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id: 4710793
{'charpoly_factorization': [[[-192, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 67}
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id: 4710794
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 71}
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id: 4710795
{'charpoly_factorization': [[[-117, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 73}
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id: 4710796
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 193654784010494041, 'p': 79}
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id: 4710797
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 83}
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id: 4710798
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 89}
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id: 4710799
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 193654784010494041, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '8281.2.a.br', 'level': 8281, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70992289
{'hecke_orbit_code': 193654784010494041, 'n': 1, 'trace_an': 4}
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id: 70992290
{'hecke_orbit_code': 193654784010494041, 'n': 2, 'trace_an': 0}
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id: 70992291
{'hecke_orbit_code': 193654784010494041, 'n': 3, 'trace_an': 0}
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id: 70992292
{'hecke_orbit_code': 193654784010494041, 'n': 4, 'trace_an': 4}
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id: 70992293
{'hecke_orbit_code': 193654784010494041, 'n': 5, 'trace_an': 0}
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id: 70992294
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