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{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, -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': [1216, 1, [191, 837, 705], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 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': [[3, [-4, -1, 1]], [5, [-4, -1, 1]], [7, [3, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953595072, 'hecke_ring_generator_nbound': 3, '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': '1216.2.a.t', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '608.2.a.g', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+(1-\\beta )q^{5}-3q^{7}+(1+\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1216.2.a', 'trace_display': [0, 1, 1, -6], 'trace_hash': 2305228704450003465, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.508', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [1, -1], [0, 0], [-3, 0], [0, 0], [1, 1], [0, 0], [-1, -1], [0, 0], [0, -1], [0, 0], [-4, 0], [0, 0], [-3, -2], [0, 0], [1, 0], [0, 0], [0, -3], [0, 0], [-4, 1], [0, 0], [0, -1], [0, 0], [4, -1], [0, 0], [0, 3], [0, 0], [-6, 2], [0, 0], [-4, -2], [0, 0], [-3, 3], [0, 0], [-4, 2], [0, 0], [-4, -1], [0, 0], [4, 0], [0, 0], [7, 1], [0, 0], [-3, -1], [0, 0], [-1, -3], [0, 0], [2, 0], [0, 0], [-8, -5], [0, 0], [6, 1], [0, 0], [3, 1], [0, 0], [0, 1], [0, 0], [-6, -1], [0, 0], [-7, 5], [0, 0], [-3, -3], [0, 0], [4, 0], [0, 0], [-2, -1], [0, 0], [4, -3], [0, 0], [-2, -4], [0, 0], [-3, 4], [0, 0], [-4, -1], [0, 0], [3, 3], [0, 0], [-10, 0], [0, 0], [-7, 0], [0, 0], [-8, 6], [0, 0], [5, 3], [0, 0], [12, 3], [0, 0], [-6, 6], [0, 0], [0, 3], [0, 0], [8, -4], [0, 0], [1, -1], [0, 0], [4, -2], [0, 0], [-5, -3], [0, 0]], 'ap': [[0, 0], [0, 1], [1, -1], [-3, 0], [-1, -1], [0, -1], [-3, -2], [1, 0], [-4, 1], [0, 3], [-6, 2], [-4, 2], [4, 0], [7, 1], [-1, -3], [6, 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[-58, 11], [-6, -26], [-68, -6], [-14, 42], [-18, 33], [30, -34], [58, 12], [-56, 9], [43, 0], [68, -9], [-12, -14], [-32, -11], [-48, -3], [-17, 12], [31, 17], [-57, 10]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 85568392953595072, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1216.2.a.t', 'level': 1216, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 7, 6], [[[2, 1], [19, -1]], 11, 6], [[[2, 1], [19, 1]], 8, 5], [[[2, -1], [19, 1]], 10, 7]], 'ALdims': [8, 11, 10, 7], 'Nk2': 4864, 'analytic_conductor': 9.709808885787695, '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': [1216, 1, [191, 837, 705], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 149, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555648, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4], 'label': '1216.2.a', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 172, 'mf_new_dim': 36, 'num_forms': 24, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 320, 'trace_bound': 7, 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mf_twists_nf • Show schema
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id: 676735
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1216.2.a.t', 'source_level': 1216, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '608.2.a.g', 'target_level': 608, 'twist_class_label': '608.2.a.g', 'twist_class_level': 608, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 676736
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1216.2.a.t', 'source_level': 1216, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '608.2.a.h', 'target_level': 608, 'twist_class_label': '608.2.a.g', 'twist_class_level': 608, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 676737
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1216.2.a.t', 'source_level': 1216, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1216.2.a.s', 'target_level': 1216, 'twist_class_label': '608.2.a.g', 'twist_class_level': 608, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 676738
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1216.2.a.t', 'source_level': 1216, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1216.2.a.t', 'target_level': 1216, 'twist_class_label': '608.2.a.g', 'twist_class_level': 608, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 676739
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1216.2.a.t', 'source_level': 1216, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '5472.2.a.bc', 'target_level': 5472, 'twist_class_label': '608.2.a.g', 'twist_class_level': 608, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 676740
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1216.2.a.t', 'source_level': 1216, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5472.2.a.bf', 'target_level': 5472, 'twist_class_label': '608.2.a.g', 'twist_class_level': 608, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1774425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953595072, 'p': 2}
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id: 1774426
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 3}
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id: 1774427
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 5}
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id: 1774428
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 85568392953595072, 'p': 7}
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id: 1774429
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 11}
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id: 1774430
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 13}
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id: 1774431
{'charpoly_factorization': [[[-1, 8, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 17}
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id: 1774432
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 85568392953595072, 'p': 19}
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id: 1774433
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 23}
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id: 1774434
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 29}
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id: 1774435
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 31}
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id: 1774436
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 37}
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id: 1774437
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 85568392953595072, 'p': 41}
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id: 1774438
{'charpoly_factorization': [[[52, -15, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 43}
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id: 1774439
{'charpoly_factorization': [[[-32, 5, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 47}
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id: 1774440
{'charpoly_factorization': [[[38, -13, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 53}
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id: 1774441
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 59}
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id: 1774442
{'charpoly_factorization': [[[-86, 9, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 61}
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id: 1774443
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 67}
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id: 1774444
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 71}
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id: 1774445
{'charpoly_factorization': [[[-67, 2, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 73}
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id: 1774446
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 85568392953595072, 'p': 79}
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id: 1774447
{'charpoly_factorization': [[[-128, 10, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 83}
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id: 1774448
{'charpoly_factorization': [[[-144, 6, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 89}
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id: 1774449
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 85568392953595072, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '1216.2.a.t', 'level': 1216, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 246348000
{'hecke_orbit_code': 85568392953595072, 'n': 1, 'trace_an': 2}
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id: 246348001
{'hecke_orbit_code': 85568392953595072, 'n': 2, 'trace_an': 0}
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id: 246348002
{'hecke_orbit_code': 85568392953595072, 'n': 3, 'trace_an': 1}
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id: 246348003
{'hecke_orbit_code': 85568392953595072, 'n': 4, 'trace_an': 0}
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id: 246348004
{'hecke_orbit_code': 85568392953595072, 'n': 5, 'trace_an': 1}
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id: 246348005
{'hecke_orbit_code': 85568392953595072, 'n': 6, 'trace_an': 0}
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id: 246348006
{'hecke_orbit_code': 85568392953595072, 'n': 7, 'trace_an': -6}
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