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mf_newforms • Show schema
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{'Nk2': 3072, 'analytic_conductor': 6.132510875234334, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 24, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [768, 2, [511, 517, 257], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 383, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 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, [-4, 2, 1]], [19, [4, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258309376, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 6, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '768.2.f.b', 'level': 768, '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': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '384.2.c.a', 'nf_label': '4.0.400.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(-1+\\beta _{3})q^{3}+(-2-\\beta _{1}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '768.2.f', 'trace_display': [0, -2, -4, 0], 'trace_hash': 784860337171713880, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '70.438', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1765.790', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.505', 'prec': 17}, 'traces': [4, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 12, 0, 8, 0, 4, 0, -14, 0, 28, 0, 0, 0, 4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 20, 0, -20, 0, -32, 0, 4, 0, -24, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 16, 0, 8, 0, 8, 0, -22, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 40, 0, -4, 0, 8, 0, -16, 0, -24, 0, -20, 0, 0, 0, 8, 0, 0, 0, 0, 0, -12, 0, 0, 0, 32, 0, 0, 0, 48, 0, -12, 0, -16, 0, -24, 0, 0, 0, -20, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 16, 0, 40, 0, -8, 0, -22, 0, 12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 28, 0, -24, 0, -72, 0, -28, 0, -20, 0, 28, 0, 0, 0, -12, 0, 0, 0, 0, 0, 28, 0, 0, 0, 16, 0, -4, 0, -16, 0, 24, 0, 0, 0, 28, 0, 0, 0, -36, 0, 0, 0, 0, 0, -40, 0, 0, 0, -36, 0, -64, 0, -40, 0, 8, 0, -4, 0, -80, 0, 0, 0, 40, 0, 0, 0, 0, 0, 24, 0, 0, 0, 32, 0, 44, 0, 32, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 0, 0], [-2, -1, 0, 1], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [1, 1, -1, -1], [0, 0, 0, 0], [0, -1, -2, -1], [0, 0, 0, 0], [0, 2, 1, 2], [0, 0, 0, 0], [4, 1, -1, -1], [0, 0, 0, 0], [0, 2, 0, 2], [0, 0, 0, 0], [2, -1, 0, 1], [0, 0, 0, 0], [2, -1, 1, 1], [0, 0, 0, 0], [0, -2, 0, 2], [0, 0, 0, 0], [3, 2, 0, -2], [0, 0, 0, 0], [-3, 1, 2, 0], [0, 0, 0, 0], [6, -1, 0, 1], [0, 0, 0, 0], [0, 1, 2, 1], [0, 0, 0, 0], [2, 3, 3, 1], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [0, 2, 3, 2], [0, 0, 0, 0], [-4, 0, -3, -2], [0, 0, 0, 0], [0, 2, 2, 2], [0, 0, 0, 0], [6, 1, 0, -1], [0, 0, 0, 0], [-6, 1, 2, 3], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [3, 2, 0, -2], [0, 0, 0, 0], [-4, 2, -2, -2], [0, 0, 0, 0], [-2, -1, 0, 1], [0, 0, 0, 0], [0, 4, 6, 4], [0, 0, 0, 0], [0, 1, -1, 3], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [0, -2, 1, -2], [0, 0, 0, 0], [0, -1, -2, 3], [0, 0, 0, 0], [0, -2, -6, -2], [0, 0, 0, 0], [6, 3, 0, -3], [0, 0, 0, 0], [4, 2, -2, 2], [0, 0, 0, 0], [8, 6, 0, -6], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [-7, -2, 2, 1], [0, 0, 0, 0], [-4, -2, 0, 2], [0, 0, 0, 0], [0, -3, 2, -3], [0, 0, 0, 0], [1, -4, -2, -4], [0, 0, 0, 0], [0, -1, 2, -1], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-4, 1, -1, 7], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [8, -2, 0, 2], [0, 0, 0, 0], [-2, -3, -3, -1], [0, 0, 0, 0], [0, -2, 0, 2], [0, 0, 0, 0], [-2, 2, 0, -2], [0, 0, 0, 0], [-8, -5, -4, -1], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [-1, 0, 0, 1], [-2, -1, 0, 1], [0, -1, 0, -1], [0, -1, -2, -1], [0, 2, 1, 2], [0, 2, 0, 2], [2, -1, 0, 1], [0, -2, 0, 2], [6, -1, 0, 1], [0, 1, 2, 1], [0, 2, 3, 2], [0, 2, 2, 2], [6, 1, 0, -1], [-8, 0, 0, 0], [-2, -1, 0, 1], [0, 1, 0, 1], [0, -2, 1, -2], [6, 3, 0, -3], [8, 6, 0, -6], [2, 0, 0, 0], [0, -3, 2, -3], [0, -1, 2, -1], [0, 0, 2, 0], [-2, 2, 0, -2], [-2, 3, 0, -3], [0, -5, -4, -5], [0, 5, 4, 5], [0, -2, -3, -2], [0, 0, 4, 0], [0, 1, 6, 1], [0, 1, -4, 1], [0, -2, 2, -2], [-6, -3, 0, 3], [6, 3, 0, -3], [0, 3, 8, 3], [0, 2, 1, 2], [2, -5, 0, 5], [-16, 2, 0, -2], [14, 7, 0, -7], [0, 5, 0, 5], [0, -2, -9, -2], [-8, -4, 0, 4], [-2, -8, 0, 8], [6, -1, 0, 1], [0, -5, 0, -5], [-10, -1, 0, 1], [0, 5, 2, 5], [0, -5, 2, -5], [0, -2, 7, -2], [0, -4, -10, -4], [8, 0, 0, 0], [-2, 0, 0, 0], [0, 3, 10, 3], [0, 4, 8, 4], [-8, -2, 0, 2], [-10, -5, 0, 5], [0, -3, 2, -3], [0, 2, -5, 2], [0, 4, 10, 4], [-22, 1, 0, -1], [22, -1, 0, 1], [14, 11, 0, -11], [-8, 2, 0, -2], [-2, 2, 0, -2], [-2, -9, 0, 9], [-14, -15, 0, 15], [10, 10, 0, -10], [0, 3, 10, 3], [0, 2, 13, 2], [0, 8, 0, 8], [24, 6, 0, -6], [0, 1, 2, 1], [0, 6, -5, 6], [-2, -7, 0, 7], [24, 4, 0, -4], [-26, -5, 0, 5], [0, 6, 5, 6], [0, -10, -8, -10], [22, 8, 0, -8], [0, -5, -2, -5], [0, 6, 7, 6], [8, 0, 0, 0], [14, 2, 0, -2], [0, -5, -8, -5], [0, 3, -10, 3], [0, 6, -4, 6], [22, 0, 0, 0], [-2, -5, 0, 5], [0, 1, -18, 1], [0, -1, 6, -1], [-16, 8, 0, -8], [0, 7, 12, 7], [0, 13, 8, 13], [-26, -1, 0, 1], [-24, 2, 0, -2], [22, 3, 0, -3], [0, -10, -6, -10], [-18, 5, 0, -5], [0, -10, -7, -10], [-6, -1, 0, 1], [6, 7, 0, -7], [0, 15, 6, 15], [0, 2, 22, 2], [-6, 9, 0, -9], [26, 2, 0, -2], [0, -11, -4, -11], [0, 4, 12, 4], [0, 6, 0, -6], [-14, -16, 0, 16], [0, 1, -18, 1], [0, -14, -1, -14], [0, 8, 6, 8], [18, 9, 0, -9], [0, -9, -4, -9], [0, -14, -4, -14], [-22, 7, 0, -7], [-16, -14, 0, 14], [-18, 3, 0, -3], [0, -3, 16, -3], [0, -14, -17, -14], [-18, -6, 0, 6], [-18, 3, 0, -3], [0, -1, -6, -1], [26, 3, 0, -3], [-18, 3, 0, -3], [0, 2, -5, 2], [-16, -12, 0, 12], [0, -5, -4, -5], [0, -6, -11, -6], [-2, -9, 0, 9], [0, -6, 0, 6], [0, -11, -2, -11], [0, 6, -1, 6], [0, -18, -10, -18], [30, 16, 0, -16], [14, -5, 0, 5], [-22, -5, 0, 5], [-34, -13, 0, 13], [0, -6, 2, -6], [46, 5, 0, -5], [22, 23, 0, -23], [0, -9, -20, -9], [0, 9, 4, 9], [0, 2, 1, 2], [24, 6, 0, -6], [0, 14, 11, 14], [0, 10, -10, 10], [-18, 1, 0, -1], [-8, -12, 0, 12], [0, -6, 13, -6], [0, 0, 12, 0], [2, -1, 0, 1], [8, 10, 0, -10], [38, 1, 0, -1], [24, 8, 0, -8], [0, 15, 20, 15], [0, -6, -20, -6], [2, 10, 0, -10], [-2, 3, 0, -3], [0, 13, 4, 13], [0, 10, 6, 10], [0, -1, -4, -1], [0, -17, 2, -17], [0, 10, 24, 10], [-24, 2, 0, -2], [0, 5, 22, 5], [0, 10, 3, 10]], 'char_orbit_index': 6, 'field_poly': [1, 0, 3, 0, 1], 'hecke_orbit_code': 4503943258309376, 'hecke_ring_character_values': [[511, [-1, 0, 0, 0]], [517, [-1, 0, 0, 0]], [257, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [-2, 1, 0, -1], [0, -2, 1, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [1, 1, 1, 0], [0, 4, 0, 2], [-1, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '768.2.f.b', 'level': 768, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3072, 'analytic_conductor': 6.132510875234334, 'char_conductor': 24, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [768, 2, [511, 517, 257], [1, 1, 1]], 'conrey_index': 383, 'cusp_dim': 104, 'dim': 28, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 19], 'hecke_orbit_code': 343630938880, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4], 'label': '768.2.f', 'level': 768, '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': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 152, 'mf_new_dim': 36, 'num_forms': 7, 'prim_orbit_index': 6, 'relative_dim': 28, 'sturm_bound': 256, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 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, -4, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -292, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 292, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 392, 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: 488229
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.2.c.a', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 488230
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.2.c.a', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 488231
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.2.c.b', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 488232
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.2.c.b', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 488233
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.2.c.c', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 488234
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.2.c.c', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 488235
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.2.c.d', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 488236
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.2.c.d', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 488237
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '768.2.f.b', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 488238
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '768.2.f.b', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 488239
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.f.c', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488240
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.f.c', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 488241
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.2.f.e', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488242
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.2.f.e', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 488243
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.f.f', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488244
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.f.b', 'source_level': 768, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.f.f', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1300675
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503943258309376, 'p': 2}
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id: 1300676
{'charpoly_factorization': [[[9, 6, 2, 2, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 3}
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id: 1300677
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 5}
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id: 1300678
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 7}
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id: 1300679
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 11}
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id: 1300680
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 13}
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id: 1300681
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 17}
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id: 1300682
{'charpoly_factorization': [[[4, -6, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 19}
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id: 1300683
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 23}
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id: 1300684
{'charpoly_factorization': [[[44, -14, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 29}
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id: 1300685
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 31}
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id: 1300686
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 37}
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id: 1300687
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 41}
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id: 1300688
{'charpoly_factorization': [[[20, -10, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 43}
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id: 1300689
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 4503943258309376, 'p': 47}
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id: 1300690
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 53}
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id: 1300691
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 59}
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id: 1300692
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 61}
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id: 1300693
{'charpoly_factorization': [[[-36, -6, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 67}
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id: 1300694
{'charpoly_factorization': [[[-176, -4, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 71}
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id: 1300695
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4503943258309376, 'p': 73}
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id: 1300696
{'charpoly_factorization': [[[16, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 79}
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id: 1300697
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4503943258309376, 'p': 83}
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id: 1300698
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 89}
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id: 1300699
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 4503943258309376, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '768.2.f.b', 'level': 768, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22409083
{'hecke_orbit_code': 4503943258309376, 'n': 1, 'trace_an': 4}
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id: 22409084
{'hecke_orbit_code': 4503943258309376, 'n': 2, 'trace_an': 0}
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id: 22409085
{'hecke_orbit_code': 4503943258309376, 'n': 3, 'trace_an': -2}
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id: 22409086
{'hecke_orbit_code': 4503943258309376, 'n': 4, 'trace_an': 0}
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id: 22409087
{'hecke_orbit_code': 4503943258309376, 'n': 5, 'trace_an': -4}
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id: 22409088
{'hecke_orbit_code': 4503943258309376, 'n': 6, 'trace_an': 0}
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id: 22409089
{'hecke_orbit_code': 4503943258309376, 'n': 7, 'trace_an': 0}
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id: 22409090
{'hecke_orbit_code': 4503943258309376, 'n': 8, 'trace_an': 0}
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id: 22409091
{'hecke_orbit_code': 4503943258309376, 'n': 9, 'trace_an': 0}
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id: 22409092
{'hecke_orbit_code': 4503943258309376, 'n': 10, 'trace_an': 0}
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id: 22409093
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