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{'Nk2': 4096, 'analytic_conductor': 8.176681166979112, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1024, 1, [1023, 5], [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': [[3, [-2, 0, 1]], [5, [-2, 0, 1]], [7, [2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925952, '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, 8, 2, 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': '1024.2.a.b', 'level': 1024, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '16.2.e.a', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-\\beta q^{5}-2q^{7}-q^{9}-\\beta q^{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': '1024.2.a', 'trace_display': [0, 0, 0, -4], 'trace_hash': 2204370180802364653, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.944', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.445', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
Hide schema
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'1024.2.a.b', 'level': 1024, 'maxp': 2999, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1]], 16, 6], [[[2, 1]], 12, 4]], 'ALdims': [12, 16], 'Nk2': 4096, 'analytic_conductor': 8.176681166979112, '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': [1024, 1, [1023, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 28, 'eis_dim': 47, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555456, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1024.2.a', 'level': 1024, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 152, 'mf_new_dim': 36, 'num_forms': 10, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 256, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 622451
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '16.2.e.a', 'target_level': 16, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 622452
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '64.2.e.a', 'target_level': 64, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 622453
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '128.2.e.a', 'target_level': 128, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 622454
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '128.2.e.b', 'target_level': 128, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 622455
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '144.2.k.a', 'target_level': 144, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 622456
{'conductor': 160, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.l.c', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '160.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 622457
{'conductor': 160, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.q.a', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '160.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 622458
{'conductor': 160, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.2.q.b', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '160.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 622459
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.2.k.a', 'target_level': 576, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 622460
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.m.b', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 622461
{'conductor': 224, 'degree': 8, 'multiplicity': 4, 'order': 24, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.x.c', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 622462
{'conductor': 224, 'degree': 8, 'multiplicity': 4, 'order': 24, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.x.f', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 622463
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1024.2.a.b', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 622464
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1024.2.a.b', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 622465
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1024.2.a.e', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 622466
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1024.2.a.e', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 622467
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1024.2.b.b', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 622468
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1024.2.b.e', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 622469
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.k.a', 'target_level': 1152, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 622470
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1152.2.k.b', 'target_level': 1152, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 622471
{'conductor': 160, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.l.a', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '160.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 622472
{'conductor': 160, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.q.a', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '160.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 622473
{'conductor': 160, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1600.2.q.b', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '160.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 622474
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '9216.2.a.d', 'target_level': 9216, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 622475
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '9216.2.a.d', 'target_level': 9216, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 622476
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9216.2.a.s', 'target_level': 9216, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 622477
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1024.2.a.b', 'source_level': 1024, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9216.2.a.s', 'target_level': 9216, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1607725
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 2}
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id: 1607726
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 3}
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id: 1607727
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 5}
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id: 1607728
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 7}
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id: 1607729
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 11}
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id: 1607730
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 13}
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id: 1607731
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 17}
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id: 1607732
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 19}
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id: 1607733
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 23}
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id: 1607734
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 29}
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id: 1607735
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 31}
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id: 1607736
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 37}
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id: 1607737
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 41}
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id: 1607738
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 43}
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id: 1607739
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 47}
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id: 1607740
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 53}
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id: 1607741
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 59}
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id: 1607742
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 61}
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id: 1607743
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 67}
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id: 1607744
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 71}
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id: 1607745
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 73}
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id: 1607746
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 79}
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id: 1607747
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925952, 'p': 83}
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id: 1607748
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 89}
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id: 1607749
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503599660925952, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1024.2.a.b', 'level': 1024, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 63108000
{'hecke_orbit_code': 4503599660925952, 'n': 1, 'trace_an': 2}
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id: 63108001
{'hecke_orbit_code': 4503599660925952, 'n': 2, 'trace_an': 0}
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id: 63108002
{'hecke_orbit_code': 4503599660925952, 'n': 3, 'trace_an': 0}
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id: 63108003
{'hecke_orbit_code': 4503599660925952, 'n': 4, 'trace_an': 0}
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id: 63108004
{'hecke_orbit_code': 4503599660925952, 'n': 5, 'trace_an': 0}
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id: 63108005
{'hecke_orbit_code': 4503599660925952, 'n': 6, 'trace_an': 0}
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id: 63108006
{'hecke_orbit_code': 4503599660925952, 'n': 7, 'trace_an': -4}
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id: 63108007
{'hecke_orbit_code': 4503599660925952, 'n': 8, 'trace_an': 0}
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id: 63108008
{'hecke_orbit_code': 4503599660925952, 'n': 9, 'trace_an': -2}
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id: 63108009
{'hecke_orbit_code': 4503599660925952, 'n': 10, 'trace_an': 0}
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id: 63108010
{'hecke_orbit_code': 4503599660925952, 'n': 11, 'trace_an': 0}
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id: 63108011
{'hecke_orbit_code': 4503599660925952, 'n': 12, 'trace_an': 0}
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id: 63108012
{'hecke_orbit_code': 4503599660925952, 'n': 13, 'trace_an': 0}
-
id: 63108013
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