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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': 6, 'hecke_orbit_code': 22518341767791360, '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.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, 'minimal_twist': '384.2.c.a', 'nf_label': '4.0.400.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(1+\\beta _{1})q^{3}+(2+\\beta _{1}-\\beta _{3})q^{5}+(\\beta _{1}+\\cdots)q^{7}+\\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': 418409289591511108, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '70.438', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [1, 1, 0, 0], [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, 0, 2, 1], [0, 0, 0, 0], [-6, 1, 0, -1], [0, 0, 0, 0], [0, -1, -2, -1], [0, 0, 0, 0], [2, -1, -3, -3], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [0, 2, 3, 2], [0, 0, 0, 0], [-4, 2, 3, 0], [0, 0, 0, 0], [0, -2, -2, -2], [0, 0, 0, 0], [-6, -1, 0, 1], [0, 0, 0, 0], [6, 3, 2, 1], [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, -3, 1, -1], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [0, -2, 1, -2], [0, 0, 0, 0], [0, -3, 2, 1], [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, 1, 2, -2], [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, -7, 1, -1], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-8, 2, 0, -2], [0, 0, 0, 0], [2, -1, -3, -3], [0, 0, 0, 0], [0, -2, 0, 2], [0, 0, 0, 0], [-2, 2, 0, -2], [0, 0, 0, 0], [8, -1, -4, -5], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [1, 1, 0, 0], [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': 22518341767791360, '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.f', '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: 488317
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488318
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488319
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488320
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488321
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488322
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488323
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488324
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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: 488325
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488326
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488327
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488328
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 488329
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488330
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 488331
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 488332
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.f.f', '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': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1300775
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518341767791360, 'p': 2}
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id: 1300776
{'charpoly_factorization': [[[9, -6, 2, -2, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 3}
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id: 1300777
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 5}
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id: 1300778
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 7}
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id: 1300779
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 11}
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id: 1300780
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 13}
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id: 1300781
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 17}
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id: 1300782
{'charpoly_factorization': [[[4, 6, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 19}
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id: 1300783
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 23}
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id: 1300784
{'charpoly_factorization': [[[44, 14, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 29}
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id: 1300785
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 31}
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id: 1300786
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 37}
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id: 1300787
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 41}
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id: 1300788
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 43}
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id: 1300789
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 22518341767791360, 'p': 47}
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id: 1300790
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 53}
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id: 1300791
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 59}
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id: 1300792
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 61}
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id: 1300793
{'charpoly_factorization': [[[-36, 6, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 67}
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id: 1300794
{'charpoly_factorization': [[[-176, -4, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 71}
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id: 1300795
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 22518341767791360, 'p': 73}
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id: 1300796
{'charpoly_factorization': [[[16, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 79}
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id: 1300797
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 22518341767791360, 'p': 83}
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id: 1300798
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 89}
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id: 1300799
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 22518341767791360, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 6, 'label': '768.2.f.f', '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: 44410807
{'hecke_orbit_code': 22518341767791360, 'n': 1, 'trace_an': 4}
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id: 44410808
{'hecke_orbit_code': 22518341767791360, 'n': 2, 'trace_an': 0}
-
id: 44410809
{'hecke_orbit_code': 22518341767791360, 'n': 3, 'trace_an': 2}
-
id: 44410810
{'hecke_orbit_code': 22518341767791360, 'n': 4, 'trace_an': 0}
-
id: 44410811
{'hecke_orbit_code': 22518341767791360, 'n': 5, 'trace_an': 4}
-
id: 44410812
{'hecke_orbit_code': 22518341767791360, 'n': 6, 'trace_an': 0}
-
id: 44410813
{'hecke_orbit_code': 22518341767791360, 'n': 7, 'trace_an': 0}
-
id: 44410814
{'hecke_orbit_code': 22518341767791360, 'n': 8, 'trace_an': 0}
-
id: 44410815
{'hecke_orbit_code': 22518341767791360, 'n': 9, 'trace_an': 0}
-
id: 44410816
{'hecke_orbit_code': 22518341767791360, 'n': 10, 'trace_an': 0}
-
id: 44410817
{'hecke_orbit_code': 22518341767791360, 'n': 11, 'trace_an': 0}
-
id: 44410818
{'hecke_orbit_code': 22518341767791360, 'n': 12, 'trace_an': 0}
-
id: 44410819
{'hecke_orbit_code': 22518341767791360, 'n': 13, 'trace_an': 0}
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id: 44410820
{'hecke_orbit_code': 22518341767791360, 'n': 14, 'trace_an': 0}
-
id: 44410821
{'hecke_orbit_code': 22518341767791360, 'n': 15, 'trace_an': 12}
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id: 44410822
{'hecke_orbit_code': 22518341767791360, 'n': 16, 'trace_an': 0}
-
id: 44410823
{'hecke_orbit_code': 22518341767791360, 'n': 17, 'trace_an': 0}
-
id: 44410824
{'hecke_orbit_code': 22518341767791360, 'n': 18, 'trace_an': 0}
-
id: 44410825
{'hecke_orbit_code': 22518341767791360, 'n': 19, 'trace_an': -12}
-
id: 44410826
{'hecke_orbit_code': 22518341767791360, 'n': 20, 'trace_an': 0}
-
id: 44410827
{'hecke_orbit_code': 22518341767791360, 'n': 21, 'trace_an': -12}
-
id: 44410828
{'hecke_orbit_code': 22518341767791360, 'n': 22, 'trace_an': 0}
-
id: 44410829
{'hecke_orbit_code': 22518341767791360, 'n': 23, 'trace_an': 8}
-
id: 44410830
{'hecke_orbit_code': 22518341767791360, 'n': 24, 'trace_an': 0}
-
id: 44410831
{'hecke_orbit_code': 22518341767791360, 'n': 25, 'trace_an': 4}
-
id: 44410832
{'hecke_orbit_code': 22518341767791360, 'n': 26, 'trace_an': 0}
-
id: 44410833
{'hecke_orbit_code': 22518341767791360, 'n': 27, 'trace_an': 14}
-
id: 44410834
{'hecke_orbit_code': 22518341767791360, 'n': 28, 'trace_an': 0}
-
id: 44410835
{'hecke_orbit_code': 22518341767791360, 'n': 29, 'trace_an': -28}
-
id: 44410836
{'hecke_orbit_code': 22518341767791360, 'n': 30, 'trace_an': 0}
-
id: 44410837
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id: 44411040
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id: 44411041
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id: 44411042
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id: 44411044
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id: 44411045
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id: 44411046
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id: 44411047
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id: 44411050
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id: 44411051
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id: 44411052
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id: 44411053
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id: 44411056
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id: 44411057
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id: 44411058
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id: 44411060
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id: 44411061
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id: 44411063
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id: 44411064
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