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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': 0, 'hecke_cutters': [[5, [2, -4, 1]], [7, [2, 4, 1]], [11, [2, 1]], [17, [-28, -4, 1]], [23, [8, -8, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189375488, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4608.2.a.n', '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.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta )q^{5}+(-2+\\beta )q^{7}-2q^{11}+\\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, 4, -4], 'trace_hash': 1586967693814785525, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.078', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.328', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.369', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide 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_nf • Show schema
Hide schema
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id: 1213361
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1536.2.a.b', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213362
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1536.2.a.e', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1213363
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1536.2.a.g', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213364
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1536.2.a.l', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213365
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1536.2.d.a', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1213366
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1536.2.d.f', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1213367
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4608.2.a.a', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213368
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4608.2.a.e', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1213369
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.a.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1213370
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4608.2.a.r', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213371
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4608.2.d.c', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213372
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '4608.2.a.n', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4608.2.d.o', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3650000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189375488, 'p': 2}
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id: 3650001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189375488, 'p': 3}
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id: 3650002
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 5}
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id: 3650003
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 7}
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id: 3650004
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 58546795189375488, 'p': 11}
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id: 3650005
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 13}
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id: 3650006
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 17}
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id: 3650007
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 19}
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id: 3650008
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 23}
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id: 3650009
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 29}
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id: 3650010
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 31}
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id: 3650011
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 37}
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id: 3650012
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 41}
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id: 3650013
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 43}
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id: 3650014
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 47}
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id: 3650015
{'charpoly_factorization': [[[-94, -4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 53}
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id: 3650016
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 58546795189375488, 'p': 59}
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id: 3650017
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 61}
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id: 3650018
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 58546795189375488, 'p': 67}
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id: 3650019
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 71}
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id: 3650020
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 73}
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id: 3650021
{'charpoly_factorization': [[[82, 20, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 79}
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id: 3650022
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 83}
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id: 3650023
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 58546795189375488, 'p': 89}
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id: 3650024
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 58546795189375488, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '4608.2.a.n', '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: 226942000
{'hecke_orbit_code': 58546795189375488, 'n': 1, 'trace_an': 2}
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id: 226942001
{'hecke_orbit_code': 58546795189375488, 'n': 2, 'trace_an': 0}
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id: 226942002
{'hecke_orbit_code': 58546795189375488, 'n': 3, 'trace_an': 0}
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id: 226942003
{'hecke_orbit_code': 58546795189375488, 'n': 4, 'trace_an': 0}
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id: 226942004
{'hecke_orbit_code': 58546795189375488, 'n': 5, 'trace_an': 4}
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id: 226942005
{'hecke_orbit_code': 58546795189375488, 'n': 6, 'trace_an': 0}
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id: 226942006
{'hecke_orbit_code': 58546795189375488, 'n': 7, 'trace_an': -4}
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id: 226942007
{'hecke_orbit_code': 58546795189375488, 'n': 8, 'trace_an': 0}
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id: 226942008
{'hecke_orbit_code': 58546795189375488, 'n': 9, 'trace_an': 0}
-
id: 226942009
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