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mf_newforms • Show schema
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{'Nk2': 2688, 'analytic_conductor': 5.3659470158300415, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 168, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [672, 2, [127, 421, 449, 577], [2, 1, 1, 1]], 'cm_discs': [-24], 'conrey_index': 209, 'conrey_indexes': [209], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [12, 0, 1]], [11, [-32, 0, 1]], [13, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416739488, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 8, -1, 2, -24], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 56, 8, -1, 2, 0], [1, 1, 168, 9, 1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '672.2.i.b', 'level': 672, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '168.2.i.b', 'nf_label': '4.0.576.2', 'prim_orbit_index': 9, 'qexp_display': 'q+\\beta _{2}q^{3}+2\\beta _{2}q^{5}+(-1+\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-24], 'self_twist_type': 1, 'space_label': '672.2.i', 'trace_display': [0, 0, 0, -4], 'trace_hash': 1040794593781356698, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.707', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '172.701', 'prec': 24}, {'__RealLiteral__': 0, 'data': '76.206', 'prec': 20}, {'__RealLiteral__': 0, 'data': '8888.399', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.881', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 28, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -96, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-7, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 6, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, 0, -7, 0], [0, 0, 0, 0], [0, 4, 8, 0], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 10, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 12, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 2, 0], [-1, 0, 0, 1], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [-10, 0, 0, 0], [0, 0, 10, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, -2, 0], [0, 0, 0, -6], [0, -8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [22, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 10, 0], [0, 8, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [26, 0, 0, 0], [0, 10, 0, 0], [0, 0, 0, -10], [0, 0, 0, 0], [0, 0, 0, 6], [0, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -12], [0, 0, -18, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 10], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 18, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 22, 0, 0], [0, 0, 0, 0], [-22, 0, 0, 0], [0, -20, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -22, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 16], [0, 0, -6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -16], [0, 0, 0, 10], [0, 20, 0, 0], [0, 0, 0, 0], [38, 0, 0, 0], [0, 0, -22, 0], [26, 0, 0, 0], [0, 0, -10, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, -16, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -26, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, -22, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -12], [0, 0, 10, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -20], [0, 0, 0, -18], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [50, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -34, 0, 0], [0, 32, 0, 0], [0, 0, 0, 0], [34, 0, 0, 0], [0, 0, 30, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, -26, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -22], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-10, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -20], [0, 0, -30, 0], [0, 0, 0, 0], [0, 0, -10, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -34, 0, 0], [-46, 0, 0, 0], [0, 40, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-50, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 22, 0], [0, -40, 0, 0], [0, 0, 0, 0], [-62, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [58, 0, 0, 0], [0, 0, 0, 0]], 'char_orbit_index': 9, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 4504149416739488, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [421, [-1, 0, 0, 0]], [449, [-1, 0, 0, 0]], [577, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_denominators': [1, 2, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 0, 1], [-1, 0, 1, 0], [0, 2, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 1, 0], [0, 4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '672.2.i.b', 'level': 672, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2688, 'analytic_conductor': 5.3659470158300415, 'char_conductor': 168, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [672, 2, [127, 421, 449, 577], [2, 1, 1, 1]], 'conrey_index': 209, 'cusp_dim': 112, 'dim': 28, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 549789368992, 'hecke_orbit_dims': [4, 4, 4, 8, 8], 'label': '672.2.i', 'level': 672, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 144, 'mf_new_dim': 36, 'num_forms': 5, 'prim_orbit_index': 9, 'relative_dim': 28, 'sturm_bound': 256, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [28, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -60, 0, 8, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 124, 0, 160, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -192, 0, -64, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 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, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 96, 0, -184, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -376, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -172, 0, 32, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 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, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 632, 0, 0, 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: 442527
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 442528
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 442529
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 442530
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 442531
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 442532
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 442533
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 442534
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '168.2.i.b', 'target_level': 168, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 442535
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 442536
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 442537
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 442538
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 442539
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 442540
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -24, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 442541
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 442542
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '672.2.i.b', 'source_level': 672, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '672.2.i.b', 'target_level': 672, 'twist_class_label': '168.2.i.b', 'twist_class_level': 168, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1189550
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 2}
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id: 1189551
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 3}
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id: 1189552
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 5}
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id: 1189553
{'charpoly_factorization': [[[7, 2, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 7}
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id: 1189554
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 11}
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id: 1189555
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 13}
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id: 1189556
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 17}
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id: 1189557
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 19}
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id: 1189558
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 23}
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id: 1189559
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 29}
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id: 1189560
{'charpoly_factorization': [[[24, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 31}
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id: 1189561
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 37}
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id: 1189562
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 41}
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id: 1189563
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 43}
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id: 1189564
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 47}
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id: 1189565
{'charpoly_factorization': [[[-200, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 53}
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id: 1189566
{'charpoly_factorization': [[[108, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 59}
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id: 1189567
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 61}
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id: 1189568
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 67}
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id: 1189569
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 71}
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id: 1189570
{'charpoly_factorization': [[[96, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 73}
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id: 1189571
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 79}
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id: 1189572
{'charpoly_factorization': [[[300, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 83}
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id: 1189573
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504149416739488, 'p': 89}
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id: 1189574
{'charpoly_factorization': [[[384, 0, 1], 2]], 'hecke_orbit_code': 4504149416739488, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '672.2.i.b', 'level': 672, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90240000
{'hecke_orbit_code': 4504149416739488, 'n': 1, 'trace_an': 4}
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id: 90240001
{'hecke_orbit_code': 4504149416739488, 'n': 2, 'trace_an': 0}
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id: 90240002
{'hecke_orbit_code': 4504149416739488, 'n': 3, 'trace_an': 0}
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id: 90240003
{'hecke_orbit_code': 4504149416739488, 'n': 4, 'trace_an': 0}
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id: 90240004
{'hecke_orbit_code': 4504149416739488, 'n': 5, 'trace_an': 0}
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id: 90240005
{'hecke_orbit_code': 4504149416739488, 'n': 6, 'trace_an': 0}
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id: 90240006
{'hecke_orbit_code': 4504149416739488, 'n': 7, 'trace_an': -4}
-
id: 90240007
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