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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': 1, 'hecke_cutters': [[5, [-2, 0, 1]], [7, [-18, 0, 1]], [11, [-6, 1]], [17, [-6, 1]], [23, [-8, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934634496, 'hecke_ring_generator_nbound': 5, '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, 8, 4, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4608.2.a.l', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1536.2.a.d', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{5}+3\\beta q^{7}+6q^{11}-4\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4608.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1958678254892925031, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.070', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.796', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 22, 10], [[[2, 1], [3, -1]], 26, 11], [[[2, -1], [3, 1]], 16, 4], [[[2, 1], [3, 1]], 16, 4]], 'ALdims': [16, 26, 16, 22], 'Nk2': 18432, 'analytic_conductor': 36.795065251406, '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': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 705, 'dim': 80, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 23], 'hecke_orbit_code': 33559040, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '4608.2.a', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 29, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1536, 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mf_twists_cc • Show schema
Hide schema
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id: 47294080
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934634496, 'target_is_minimal': False, 'target_label': '4608.2.a.l.1.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47294081
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519936, 'target_is_minimal': True, 'target_label': '1536.2.a.i.1.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47294082
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797782016, 'target_is_minimal': False, 'target_label': '4608.2.a.g.1.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47294083
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934634496, 'target_is_minimal': False, 'target_label': '4608.2.a.l.1.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47294084
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797782016, 'target_is_minimal': False, 'target_label': '4608.2.a.g.1.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47294085
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667456, 'target_is_minimal': True, 'target_label': '1536.2.a.d.1.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47294086
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547001347805696, 'target_is_minimal': False, 'target_label': '4608.2.d.n.2305.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47294087
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547001347805696, 'target_is_minimal': False, 'target_label': '4608.2.d.n.2305.3', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47294088
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547001347805696, 'target_is_minimal': False, 'target_label': '4608.2.d.n.2305.4', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47294089
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347805696, 'target_is_minimal': False, 'target_label': '4608.2.d.n.2305.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47294090
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915667456, 'target_is_minimal': True, 'target_label': '1536.2.a.d.1.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47294091
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519936, 'target_is_minimal': True, 'target_label': '1536.2.a.i.1.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47294092
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446727168, 'target_is_minimal': False, 'target_label': '1536.2.d.c.769.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47294093
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405446727168, 'target_is_minimal': False, 'target_label': '1536.2.d.c.769.3', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47294094
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405446727168, 'target_is_minimal': False, 'target_label': '1536.2.d.c.769.4', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47294095
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934634496, 'source_is_minimal': False, 'source_label': '4608.2.a.l.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405446727168, 'target_is_minimal': False, 'target_label': '1536.2.d.c.769.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.d.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3649950
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 2}
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id: 3649951
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 3}
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id: 3649952
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 5}
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id: 3649953
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 7}
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id: 3649954
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 11}
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id: 3649955
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 13}
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id: 3649956
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 17}
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id: 3649957
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 19}
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id: 3649958
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 23}
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id: 3649959
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 29}
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id: 3649960
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 31}
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id: 3649961
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 37}
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id: 3649962
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 41}
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id: 3649963
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 43}
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id: 3649964
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 47}
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id: 3649965
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 53}
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id: 3649966
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 59}
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id: 3649967
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 61}
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id: 3649968
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 67}
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id: 3649969
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 71}
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id: 3649970
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 73}
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id: 3649971
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 49539595934634496, 'p': 79}
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id: 3649972
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 83}
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id: 3649973
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 89}
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id: 3649974
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 49539595934634496, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '4608.2.a.l', 'level': 4608, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 217127000
{'hecke_orbit_code': 49539595934634496, 'n': 1, 'trace_an': 2}
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id: 217127001
{'hecke_orbit_code': 49539595934634496, 'n': 2, 'trace_an': 0}
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id: 217127002
{'hecke_orbit_code': 49539595934634496, 'n': 3, 'trace_an': 0}
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id: 217127003
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