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mf_newforms • Show schema
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{'Nk2': 2048, 'analytic_conductor': 4.088340583489556, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [512, 1, [511, 5], [1, 1]], 'cm_discs': [], 'conrey_index': 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, [-8, 0, 1]], [7, [4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295936, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '512.2.a.c', 'level': 512, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '512.2.a.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-2\\beta q^{5}-4q^{7}-q^{9}+\\beta q^{11}+\\cdots', 'related_objects': ['EllipticCurve/2.2.8.1/4096.1/i', 'ModularForm/GL2/TotallyReal/2.2.8.1/holomorphic/2.2.8.1-4096.1-i'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '512.2.a', 'trace_display': [0, 0, 0, -8], 'trace_hash': 530057913436052050, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.907', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.829', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.678', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.517', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, -8, 0, -2, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, -8, 0, 6, 0, 0, 0, 0, 0, -16, 0, 4, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -8, 0, -20, 0, 0, 0, 0, 0, 8, 0, -16, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 16, 0, -10, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 40, 0, -8, 0, 0, 0, 0, 0, -24, 0, 32, 0, 0, 0, 0, 0, 8, 0, 28, 0, 0, 0, 0, 0, 32, 0, -18, 0, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, 0, 0, 32, 0, -36, 0, 0, 0, 0, 0, 8, 0, -48, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 0, 0, 24, 0, -10, 0, 0, 0, 0, 0, -24, 0, 12, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, -8, 0, 12, 0, 0, 0, 0, 0, 8, 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0, 56, 0, -60, 0, 0, 0, 0, 0, 56, 0, -60, 0, 0, 0, 0, 0, 8, 0, 12, 0, 0, 0, 0, 0, -24, 0, -72, 0, 0, 0, 0, 0, -40, 0, 86, 0, 0, 0, 0, 0, 72, 0, 68, 0, 0, 0, 0, 0, -40, 0, -68, 0, 0, 0, 0, 0, -48, 0, -80, 0, 0, 0, 0, 0, 24, 0, 8, 0, 0, 0, 0, 0, 24, 0, -68, 0, 0, 0, 0, 0, -56, 0, 64, 0, 0, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, -48, 0, -48, 0, 0, 0, 0, 0, -96, 0, -28, 0, 0, 0, 0, 0, 88, 0, -20, 0, 0, 0, 0, 0, 24, 0, 120, 0, 0, 0, 0, 0, 32, 0, -40, 0, 0, 0, 0, 0, -16, 0, -128, 0, 0, 0, 0, 0, -8, 0, 60, 0, 0, 0, 0, 0, 144, 0, 66, 0, 0, 0, 0, 0, -40, 0, 80, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 72, 0, 80, 0, 0, 0, 0, 0, 64, 0, 36, 0, 0, 0, 0, 0, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [0, -2], [0, 0], [-4, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [0, 2], [0, 0], [-4, 0], [0, 0], [-4, 0], [0, 0], [0, -5], [0, 0], [0, -4], [0, 0], [-4, 0], [0, 0], [3, 0], [0, 0], [0, -4], [0, 0], [0, 6], [0, 0], [-8, 0], [0, 0], [2, 0], [0, 0], [0, 8], [0, 0], [0, 2], [0, 0], [4, 0], [0, 0], [2, 0], [0, 0], [0, 3], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [9, 0], [0, 0], [0, -4], [0, 0], [0, 2], [0, 0], [-4, 0], [0, 0], [-10, 0], [0, 0], [0, 3], [0, 0], [0, -6], [0, 0], [4, 0], [0, 0], [-8, 0], [0, 0], [0, 3], [0, 0], [0, -4], [0, 0], [4, 0], [0, 0], [-4, 0], [0, 0], [0, 3], [0, 0], [0, -4], [0, 0], [8, 0], [0, 0], [-5, 0], [0, 0], [0, -7], [0, 0], [0, 8], [0, 0], [12, 0], [0, 0], [12, 0], [0, 0], [0, -8], [0, 0], [0, -8], [0, 0], [20, 0], [0, 0], [-4, 0], [0, 0], [0, -1], [0, 0]], 'ap': [[0, 0], [0, 1], [0, -2], [-4, 0], [0, 1], [0, 2], [-4, 0], [0, -5], [-4, 0], [0, 6], [-8, 0], [0, 2], [2, 0], [0, 3], [0, 0], [0, 2], [0, 3], [0, -6], [0, 3], [4, 0], [-4, 0], [8, 0], [0, -7], [12, 0], [-4, 0], [0, 2], [-12, 0], [0, -7], [0, -10], [14, 0], [-8, 0], [0, -5], [-18, 0], [0, 3], [0, -2], [-4, 0], [0, -6], [0, -7], [12, 0], [0, 10], [0, 1], [0, 6], [-8, 0], [-4, 0], [0, -10], [-4, 0], [0, 17], [-24, 0], [0, -15], [0, -18], [12, 0], [8, 0], [12, 0], [0, 3], [-2, 0], [-28, 0], [0, 14], [-32, 0], [0, -6], [-20, 0], [0, 17], [0, 6], [0, -5], [20, 0], [-14, 0], [0, -2], [0, 9], [30, 0], [0, 11], [0, 14], [-14, 0], [36, 0], [-16, 0], [0, 26], [0, -21], [-16, 0], [0, -14], [0, -2], [-36, 0], [-14, 0], [0, 19], [0, 6], [24, 0], [-20, 0], [4, 0], [0, 25], [-20, 0], [2, 0], [0, -10], [-8, 0], [0, -13], [24, 0], [12, 0], [0, 11], [0, 9], [-20, 0], [0, 2], [14, 0], [0, -7], [0, -6], [0, 19], [0, -22], [0, -5], [30, 0], [0, -23], [-18, 0], [0, 1], [18, 0], [36, 0], [-4, 0], [0, 0], [0, 6], [28, 0], [0, 1], [-4, 0], [-4, 0], [0, 3], [-12, 0], [0, -34], [0, -23], [0, 22], [-20, 0], [0, -30], [0, -21], [0, 33], [0, 34], [0, -6], [-24, 0], [-28, 0], [0, 14], [0, 17], [-4, 0], [40, 0], [0, -18], [18, 0], [44, 0], [0, -6], [0, 33], [0, -14], [-30, 0], [0, 17], [0, -6], [4, 0], [0, -15], [0, 18], [-20, 0], [0, -30], [-34, 0], [0, 27], [-24, 0], [0, 6], [-34, 0], [0, -29], [-28, 0], [0, -5], [-48, 0], [44, 0], [60, 0], [-20, 0], [0, -26], [0, 43], [30, 0], [-20, 0], [0, 11], [12, 0], [36, 0], [32, 0], [0, 10]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 9007199288295936, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '512.2.a.c', 'level': 512, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 10], 'ALdims_eis_new': [0, 0], 'ALdims_eis_old': [15, 16], 'ALdims_old': [15, 18], 'Nk2': 2048, 'analytic_conductor': 4.088340583489556, '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': [512, 1, [511, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 49, 'dim': 16, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33554944, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '512.2.a', 'level': 512, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 80, 'mf_new_dim': 16, 'num_forms': 7, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 128, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 360958
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '512.2.a.c', 'target_level': 512, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 360959
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '512.2.a.c', 'target_level': 512, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360960
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '512.2.a.d', 'target_level': 512, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360961
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '512.2.a.d', 'target_level': 512, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 360962
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '512.2.b.a', 'target_level': 512, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 360963
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '512.2.b.b', 'target_level': 512, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 360964
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1024.2.e.b', 'target_level': 1024, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 360965
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1024.2.e.c', 'target_level': 1024, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 360966
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1024.2.e.d', 'target_level': 1024, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 360967
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1024.2.e.e', 'target_level': 1024, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 360968
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4608.2.a.f', 'target_level': 4608, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360969
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4608.2.a.f', 'target_level': 4608, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 360970
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4608.2.a.m', 'target_level': 4608, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360971
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4608.2.a.m', 'target_level': 4608, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 360972
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4608.2.d.a', 'target_level': 4608, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 360973
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '512.2.a.c', 'source_level': 512, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4608.2.d.b', 'target_level': 4608, 'twist_class_label': '512.2.a.c', 'twist_class_level': 512, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 986725
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 2}
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id: 986726
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 3}
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id: 986727
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 5}
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id: 986728
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 7}
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id: 986729
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 11}
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id: 986730
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 13}
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id: 986731
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 17}
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id: 986732
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 19}
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id: 986733
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 23}
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id: 986734
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 29}
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id: 986735
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 31}
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id: 986736
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 37}
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id: 986737
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 41}
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id: 986738
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 43}
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id: 986739
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 47}
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id: 986740
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 53}
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id: 986741
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 59}
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id: 986742
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 61}
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id: 986743
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 67}
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id: 986744
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 71}
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id: 986745
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 73}
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id: 986746
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 79}
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id: 986747
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 9007199288295936, 'p': 83}
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id: 986748
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 89}
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id: 986749
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295936, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '512.2.a.c', 'level': 512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26099773
{'hecke_orbit_code': 9007199288295936, 'n': 1, 'trace_an': 2}
-
id: 26099774
{'hecke_orbit_code': 9007199288295936, 'n': 2, 'trace_an': 0}
-
id: 26099775
{'hecke_orbit_code': 9007199288295936, 'n': 3, 'trace_an': 0}
-
id: 26099776
{'hecke_orbit_code': 9007199288295936, 'n': 4, 'trace_an': 0}
-
id: 26099777
{'hecke_orbit_code': 9007199288295936, 'n': 5, 'trace_an': 0}
-
id: 26099778
{'hecke_orbit_code': 9007199288295936, 'n': 6, 'trace_an': 0}
-
id: 26099779
{'hecke_orbit_code': 9007199288295936, 'n': 7, 'trace_an': -8}
-
id: 26099780
{'hecke_orbit_code': 9007199288295936, 'n': 8, 'trace_an': 0}
-
id: 26099781
{'hecke_orbit_code': 9007199288295936, 'n': 9, 'trace_an': -2}
-
id: 26099782
{'hecke_orbit_code': 9007199288295936, 'n': 10, 'trace_an': 0}
-
id: 26099783
{'hecke_orbit_code': 9007199288295936, 'n': 11, 'trace_an': 0}
-
id: 26099784
{'hecke_orbit_code': 9007199288295936, 'n': 12, 'trace_an': 0}
-
id: 26099785
{'hecke_orbit_code': 9007199288295936, 'n': 13, 'trace_an': 0}
-
id: 26099786
{'hecke_orbit_code': 9007199288295936, 'n': 14, 'trace_an': 0}
-
id: 26099787
{'hecke_orbit_code': 9007199288295936, 'n': 15, 'trace_an': -8}
-
id: 26099788
{'hecke_orbit_code': 9007199288295936, 'n': 16, 'trace_an': 0}
-
id: 26099789
{'hecke_orbit_code': 9007199288295936, 'n': 17, 'trace_an': -8}
-
id: 26099790
{'hecke_orbit_code': 9007199288295936, 'n': 18, 'trace_an': 0}
-
id: 26099791
{'hecke_orbit_code': 9007199288295936, 'n': 19, 'trace_an': 0}
-
id: 26099792
{'hecke_orbit_code': 9007199288295936, 'n': 20, 'trace_an': 0}
-
id: 26099793
{'hecke_orbit_code': 9007199288295936, 'n': 21, 'trace_an': 0}
-
id: 26099794
{'hecke_orbit_code': 9007199288295936, 'n': 22, 'trace_an': 0}
-
id: 26099795
{'hecke_orbit_code': 9007199288295936, 'n': 23, 'trace_an': -8}
-
id: 26099796
{'hecke_orbit_code': 9007199288295936, 'n': 24, 'trace_an': 0}
-
id: 26099797
{'hecke_orbit_code': 9007199288295936, 'n': 25, 'trace_an': 6}
-
id: 26099798
{'hecke_orbit_code': 9007199288295936, 'n': 26, 'trace_an': 0}
-
id: 26099799
{'hecke_orbit_code': 9007199288295936, 'n': 27, 'trace_an': 0}
-
id: 26099800
{'hecke_orbit_code': 9007199288295936, 'n': 28, 'trace_an': 0}
-
id: 26099801
{'hecke_orbit_code': 9007199288295936, 'n': 29, 'trace_an': 0}
-
id: 26099802
{'hecke_orbit_code': 9007199288295936, 'n': 30, 'trace_an': 0}
-
id: 26099803
{'hecke_orbit_code': 9007199288295936, 'n': 31, 'trace_an': -16}
-
id: 26099804
{'hecke_orbit_code': 9007199288295936, 'n': 32, 'trace_an': 0}
-
id: 26099805
{'hecke_orbit_code': 9007199288295936, 'n': 33, 'trace_an': 4}
-
id: 26099806
{'hecke_orbit_code': 9007199288295936, 'n': 34, 'trace_an': 0}
-
id: 26099807
{'hecke_orbit_code': 9007199288295936, 'n': 35, 'trace_an': 0}
-
id: 26099808
{'hecke_orbit_code': 9007199288295936, 'n': 36, 'trace_an': 0}
-
id: 26099809
{'hecke_orbit_code': 9007199288295936, 'n': 37, 'trace_an': 0}
-
id: 26099810
{'hecke_orbit_code': 9007199288295936, 'n': 38, 'trace_an': 0}
-
id: 26099811
{'hecke_orbit_code': 9007199288295936, 'n': 39, 'trace_an': 8}
-
id: 26099812
{'hecke_orbit_code': 9007199288295936, 'n': 40, 'trace_an': 0}
-
id: 26099813
{'hecke_orbit_code': 9007199288295936, 'n': 41, 'trace_an': 4}
-
id: 26099814
{'hecke_orbit_code': 9007199288295936, 'n': 42, 'trace_an': 0}
-
id: 26099815
{'hecke_orbit_code': 9007199288295936, 'n': 43, 'trace_an': 0}
-
id: 26099816
{'hecke_orbit_code': 9007199288295936, 'n': 44, 'trace_an': 0}
-
id: 26099817
{'hecke_orbit_code': 9007199288295936, 'n': 45, 'trace_an': 0}
-
id: 26099818
{'hecke_orbit_code': 9007199288295936, 'n': 46, 'trace_an': 0}
-
id: 26099819
{'hecke_orbit_code': 9007199288295936, 'n': 47, 'trace_an': 0}
-
id: 26099820
{'hecke_orbit_code': 9007199288295936, 'n': 48, 'trace_an': 0}
-
id: 26099821
{'hecke_orbit_code': 9007199288295936, 'n': 49, 'trace_an': 18}
-
id: 26099822
{'hecke_orbit_code': 9007199288295936, 'n': 50, 'trace_an': 0}
-
id: 26099823
{'hecke_orbit_code': 9007199288295936, 'n': 51, 'trace_an': 0}
-
id: 26099824
{'hecke_orbit_code': 9007199288295936, 'n': 52, 'trace_an': 0}
-
id: 26099825
{'hecke_orbit_code': 9007199288295936, 'n': 53, 'trace_an': 0}
-
id: 26099826
{'hecke_orbit_code': 9007199288295936, 'n': 54, 'trace_an': 0}
-
id: 26099827
{'hecke_orbit_code': 9007199288295936, 'n': 55, 'trace_an': -8}
-
id: 26099828
{'hecke_orbit_code': 9007199288295936, 'n': 56, 'trace_an': 0}
-
id: 26099829
{'hecke_orbit_code': 9007199288295936, 'n': 57, 'trace_an': -20}
-
id: 26099830
{'hecke_orbit_code': 9007199288295936, 'n': 58, 'trace_an': 0}
-
id: 26099831
{'hecke_orbit_code': 9007199288295936, 'n': 59, 'trace_an': 0}
-
id: 26099832
{'hecke_orbit_code': 9007199288295936, 'n': 60, 'trace_an': 0}
-
id: 26099833
{'hecke_orbit_code': 9007199288295936, 'n': 61, 'trace_an': 0}
-
id: 26099834
{'hecke_orbit_code': 9007199288295936, 'n': 62, 'trace_an': 0}
-
id: 26099835
{'hecke_orbit_code': 9007199288295936, 'n': 63, 'trace_an': 8}
-
id: 26099836
{'hecke_orbit_code': 9007199288295936, 'n': 64, 'trace_an': 0}
-
id: 26099837
{'hecke_orbit_code': 9007199288295936, 'n': 65, 'trace_an': -16}
-
id: 26099838
{'hecke_orbit_code': 9007199288295936, 'n': 66, 'trace_an': 0}
-
id: 26099839
{'hecke_orbit_code': 9007199288295936, 'n': 67, 'trace_an': 0}
-
id: 26099840
{'hecke_orbit_code': 9007199288295936, 'n': 68, 'trace_an': 0}
-
id: 26099841
{'hecke_orbit_code': 9007199288295936, 'n': 69, 'trace_an': 0}
-
id: 26099842
{'hecke_orbit_code': 9007199288295936, 'n': 70, 'trace_an': 0}
-
id: 26099843
{'hecke_orbit_code': 9007199288295936, 'n': 71, 'trace_an': 8}
-
id: 26099844
{'hecke_orbit_code': 9007199288295936, 'n': 72, 'trace_an': 0}
-
id: 26099845
{'hecke_orbit_code': 9007199288295936, 'n': 73, 'trace_an': -8}
-
id: 26099846
{'hecke_orbit_code': 9007199288295936, 'n': 74, 'trace_an': 0}
-
id: 26099847
{'hecke_orbit_code': 9007199288295936, 'n': 75, 'trace_an': 0}
-
id: 26099848
{'hecke_orbit_code': 9007199288295936, 'n': 76, 'trace_an': 0}
-
id: 26099849
{'hecke_orbit_code': 9007199288295936, 'n': 77, 'trace_an': 0}
-
id: 26099850
{'hecke_orbit_code': 9007199288295936, 'n': 78, 'trace_an': 0}
-
id: 26099851
{'hecke_orbit_code': 9007199288295936, 'n': 79, 'trace_an': 16}
-
id: 26099852
{'hecke_orbit_code': 9007199288295936, 'n': 80, 'trace_an': 0}
-
id: 26099853
{'hecke_orbit_code': 9007199288295936, 'n': 81, 'trace_an': -10}
-
id: 26099854
{'hecke_orbit_code': 9007199288295936, 'n': 82, 'trace_an': 0}
-
id: 26099855
{'hecke_orbit_code': 9007199288295936, 'n': 83, 'trace_an': 0}
-
id: 26099856
{'hecke_orbit_code': 9007199288295936, 'n': 84, 'trace_an': 0}
-
id: 26099857
{'hecke_orbit_code': 9007199288295936, 'n': 85, 'trace_an': 0}
-
id: 26099858
{'hecke_orbit_code': 9007199288295936, 'n': 86, 'trace_an': 0}
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