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{'Nk2': 6048, 'analytic_conductor': 32.27041358350273, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -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': [42, 1, [29, 31], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': 0, 'hecke_cutters': [[5, [-1080, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199456067626, 'hecke_ring_generator_nbound': 1, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '42.12.a.c', 'level': 42, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '42.12.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+1080q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '11.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '42.12.a', 'trace_display': [-32, 243, 1080, 16807], 'trace_hash': 785208138912146694, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.988', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.941', 'prec': 17}, 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mf_hecke_nf • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [1, 1, 1, 1, 1, 2, 2, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [11, 9, 9, 9, 9, 9, 8, 10], 'Nk2': 6048, 'analytic_conductor': 32.27041358350273, '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': [42, 1, [29, 31], [1, 1]], 'conrey_index': 1, 'cusp_dim': 84, 'dim': 10, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 201326634, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2], 'label': '42.12.a', 'level': 42, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 92, 'mf_new_dim': 10, 'num_forms': 8, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 96, 'trace_bound': 5, 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mf_twists_nf • Show schema
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id: 34363
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '42.12.a.c', 'source_level': 42, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '42.12.a.c', 'target_level': 42, 'twist_class_label': '42.12.a.c', 'twist_class_level': 42, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 12}
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id: 34364
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '42.12.a.c', 'source_level': 42, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '126.12.a.f', 'target_level': 126, 'twist_class_label': '42.12.a.c', 'twist_class_level': 42, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 12}
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mf_hecke_charpolys • Show schema
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id: 144425
{'charpoly_factorization': [[[32, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 2}
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id: 144426
{'charpoly_factorization': [[[-243, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 3}
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id: 144427
{'charpoly_factorization': [[[-1080, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 5}
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id: 144428
{'charpoly_factorization': [[[-16807, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 7}
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id: 144429
{'charpoly_factorization': [[[-454950, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 11}
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id: 144430
{'charpoly_factorization': [[[-333386, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 13}
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id: 144431
{'charpoly_factorization': [[[-329448, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 17}
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id: 144432
{'charpoly_factorization': [[[4876828, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 19}
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id: 144433
{'charpoly_factorization': [[[4054050, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 23}
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id: 144434
{'charpoly_factorization': [[[-64835934, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 29}
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id: 144435
{'charpoly_factorization': [[[-64240136, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 31}
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id: 144436
{'charpoly_factorization': [[[-439691690, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 37}
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id: 144437
{'charpoly_factorization': [[[-1147482084, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 41}
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id: 144438
{'charpoly_factorization': [[[-682653668, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 43}
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id: 144439
{'charpoly_factorization': [[[-2242598340, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 47}
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id: 144440
{'charpoly_factorization': [[[-1692909282, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 53}
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id: 144441
{'charpoly_factorization': [[[856900848, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 59}
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id: 144442
{'charpoly_factorization': [[[-328162910, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 61}
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id: 144443
{'charpoly_factorization': [[[6834378088, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 67}
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id: 144444
{'charpoly_factorization': [[[-18096946722, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 71}
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id: 144445
{'charpoly_factorization': [[[-4621386710, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 73}
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id: 144446
{'charpoly_factorization': [[[24901224268, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 79}
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id: 144447
{'charpoly_factorization': [[[-24895768956, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 83}
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id: 144448
{'charpoly_factorization': [[[-25356289956, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 89}
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id: 144449
{'charpoly_factorization': [[[40168146010, 1], 1]], 'hecke_orbit_code': 9007199456067626, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '42.12.a.c', 'level': 42, 'portrait': 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', 'weight': 12}
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mf_hecke_traces • Show schema
Hide schema
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id: 29261563
{'hecke_orbit_code': 9007199456067626, 'n': 1, 'trace_an': 1}
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