# Stored data for newform 6174.2.a.m, downloaded from the LMFDB on 05 October 2024. {"Nk2": 24696, "analytic_conductor": 49.29963820793851, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 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": [6174, 1, [3431, 5491], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 14, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [1, -1, -2, 1]], [11, [-1, 20, 9, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562006558, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "6174.2.a.m", "level": 6174, "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, 7], "level_radical": 42, "minimal_twist": "2058.2.a.c", "nf_label": "3.3.49.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}+(1-\\beta _{1})q^{5}+q^{8}+(1-\\beta _{1}+\\cdots)q^{10}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6174.2.a", "trace_display": [3, 0, 2, 0], "trace_hash": 648942935032635852, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.690", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "285.397", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.008", "prec": 17}, "traces": [0, 3, 3, 0, 3, 2, 0, 0, 3, 0, 2, -9, 0, -9, 0, 0, 3, 7, 0, -2, 2, 0, -9, -7, 0, -9, -9, 0, 0, -6, 0, 3, 3, 0, 7, 0, 0, -11, -2, 0, 2, -7, 0, -9, -9, 0, -7, 3, 0, 0, -9, 0, -9, -12, 0, -6, 0, 0, -6, 2, 0, -5, 3, 0, 3, -13, 0, -2, 7, 0, 0, -24, 0, -13, -11, 0, -2, 0, 0, -17, 2, 0, -7, 29, 0, -7, -9, 0, -9, 4, 0, 0, -7, 0, 3, 1, 0, -4, 0, 0, -9, 16, 0, -38, -9, 0, -12, -5, 0, -28, -6, 0, 0, 0, 0, -21, -6, 0, 2, 0, 0, 8, -5, 0, 3, -9, 0, -34, 3, 0, -13, 15, 0, 0, -2, 0, 7, 9, 0, -13, 0, 0, -24, 20, 0, 10, -13, 0, -11, 2, 0, -10, -2, 0, 0, 9, 0, 12, -17, 0, 2, 0, 0, -41, -7, 0, 29, 39, 0, 2, -7, 0, -9, 5, 0, 0, -9, 0, 4, -8, 0, -10, 0, 0, -7, -5, 0, -28, 3, 0, 1, -14, 0, 20, -4, 0, 0, -4, 0, -25, -9, 0, 16, 0, 0, 14, -38, 0, -9, 41, 0, -35, -12, 0, -5, 8, 0, 0, -28, 0, -6, 0, 0, -27, 0, 0, 0, 59, 0, 12, -21, 0, -6, -5, 0, -33, 2, 0, 0, 23, 0, -4, 8, 0, -5, 0, 0, -15, 3, 0, -9, -17, 0, 0, -34, 0, 3, 46, 0, 0, -13, 0, 15, -10, 0, -1, 0, 0, -2, -14, 0, 16, 7, 0, 9, 20, 0, -11, -13, 0, 0, 3, 0, -14, -24, 0, 20, 0, 0, -2, 10, 0, -13, -20, 0, -1, -11, 0, 2, 56, 0, 0, -10, 0, -2, -15, 0, -31, 0, 0, 9, 9, 0, 16, 12, 0, -17, 50, 0, -10, 2, 0, 0, -28, 0, 20, -41, 0, -7, 0, 0, -10, 29, 0, 39, -27, 0, 35, 2, 0, -7, -58, 0, 0, -9, 0, 5, 27, 0, 62, 0, 0, -9, -61, 0, -23, 4, 0, -8, -13, 0, 33, -10, 0, 0, 31, 0, 29, -7, 0, -5, 0, 0, 31, -28, 0, 3, 11, 0, -18, 1, 0, -14, -2, 0, 0, 20, 0, -4, 39, 0, 35, 0, 0, -4, -30, 0, 33, -25, 0, -9, 33, 0, 5, 16, 0, 0, 12, 0, -2, 14, 0, -38, 0, 0, 45, -9, 0, 41, 0, 0, 39, -35, 0, -12, -35, 0, 0, -5, 0, 8, -1, 0, 60, 0, 0, -28, -56, 0, 42, -6, 0, 0, -34, 0, -9, -27, 0, 0, -1, 0, 35, 0, 0, 59, 0, 0, -17, 12, 0, -21, -71, 0, 10, -6, 0, -5, -39, 0, 0, -33, 0, 2, 27, 0, -8, 0, 0, 23, -40, 0, 40, -4, 0, 8, -19, 0, 4, -5, 0, 0, -20, 0, -35, -15, 0, 3, 0, 0, -78, -9, 0, -17, -29, 0, -15, 0, 0, -34, -93, 0, 0, 3, 0, 46, -23, 0, -16, 0, 0, -13, -33, 0, -65, 15, 0, -10, 14, 0, 36, -1, 0, 0, -14, 0, 27, -2, 0, -14, 0, 0, -41, 16, 0, 7, -21, 0, 3, 9, 0, 20, -59, 0, 0, -11, 0, -13, 5, 0, 6, 0, 0, 3, 75, 0, 7, -14, 0, -24, -18, 0, -53, 20, 0, 0, 7, 0, 71, -2, 0, 10, 0, 0, 43, -13, 0, -20, -35, 0, -121, -1, 0, -11, 37, 0, 0, 2, 0, 56, 26, 0, 23, 0, 0, -10, 3, 0, 21, -2, 0, -15, 47, 0, 1, -31, 0, 0, 81, 0, -31, 9, 0, 9, 0, 0, 11, 16, 0, 12, -21, 0, 35, -17, 0, 50, -39, 0, 0, -10, 0, 2, 48, 0, -38, 0, 0, -28, -26, 0, 15, 20, 0, -41, 54, 0, 24, -7, 0, 0, 23, 0, 35, -10, 0, 29, 0, 0, 7, 39, 0, -27, 36, 0, 31, 35, 0, 2, 6, 0, 0, -7, 0, -58, -29, 0, 48, 0, 0, -9, 22, 0, -3, 5, 0, 27, -4, 0, -70, 62, 0, 0, 59, 0, -44, -9, 0, -61, 0, 0, 47, -23, 0, 4, 42, 0, 46, -8, 0, -13, 51, 0, 0, 33, 0, -10, 53, 0, 95, 0, 0, 31, -56, 0, 23, 29, 0, -7, 41, 0, 17, -5, 0, 0, 0, 0, -15, 31, 0, -28, 0, 0, 7, 3, 0, 11, 40, 0, 9, -18, 0, 1, -34, 0, 0, -14, 0, -2, -13, 0, 8, 0, 0, 20, 25, 0, 26, -4, 0, 39, 49, 0, 93, 35, 0, 0, -20, 0, -45, -4, 0, -30, 0, 0, 22, 33, 0, -25, 13, 0, 98, -9, 0, 33, 32, 0, 0, 5, 0, 16, -14, 0, -34, 0, 0, 12, -25, 0, 13, -2, 0, 14, 9, 0, 6, -38, 0, 0, 18, 0, 75, 45, 0, -9, 0, 0, 54, 41, 0, 0, -2, 0, 23, 39, 0, -35, 34, 0, 0, -12, 0, -35, 49, 0, -47, 0, 0, -5, 0, 0, -52, 8, 0, -1, -11, 0, 50, 60, 0, 0, 93, 0, 27, -28, 0, -56, 0, 0, -65, 42, 0, -6, -74, 0, -30, 0, 0, -34, 12, 0, 0, -9, 0, -27, -37, 0, -45, 0, 0, -1, 113, 0, -49, 35, 0, 0, 47, 0, 45, 59, 0, 0, 24, 0, -66, -17, 0, 12, 0, 0, 45, -21, 0, -71, 72, 0, 47, 10, 0, -6, 3, 0, 0, -5, 0, -39, 35, 0, -14, 0, 0, -33, -6, 0, -70, 2, 0, 27, -28, 0, -17, -8, 0, 0, -31, 0, -42, 23, 0, -40, 0, 0, 92, 40, 0, -4, -59, 0, -45, 8, 0, -19, 44, 0, 0, 4, 0, -5, 126, 0, -89, 0, 0, -20, -4, 0, 16, -35, 0, -15, -28, 0, -81, 3, 0, 0, 44, 0, -49, -78, 0, -9, 0, 0, 0, -17, 0, -29, 29, 0, 42, -15, 0, 0, -1, 0, 0, -34, 0, -93, 11, 0, -1, 0, 0, 3, 42, 0, 58, 46, 0, -23, -30, 0, 71, -16, 0, 0, 7, 0, -25, -13, 0, -33, 0, 0, 11, -65, 0, 15, 25, 0, -15, -10, 0, 14, 21, 0, 0, 36, 0, -1, -17, 0, -92, 0, 0, -14, 33, 0, -78, 27, 0, -2, 71, 0, 48, -14, 0, 0, -136, 0, 126, -41, 0, 16, 0, 0, 42, 7, 0, -21, 51, 0, -18, 3, 0, 9, 2, 0, 0, 20, 0, -59, 8, 0, 7, 0, 0, -11, 16, 0, 1, -13, 0, 5, -18, 0, 38, 6, 0, 0, 50, 0, 31, 3, 0, 75, 0, 0, -32, 7, 0, -14, 121, 0, 65, -24, 0, -18, 42, 0, 0, -53, 0, 20, -41, 0, 66, 0, 0, 7, -83, 0, 16, 71, 0, -2, 44, 0, 50, 10, 0, 0, -113, 0, -15, 43, 0, -13, 0, 0, 18, -20, 0, -35, -58, 0, 36, -121, 0, -1, -25, 0, 0, -11, 0, 37, -69, 0, 42, 0, 0, 2, 20, 0, 34, 56, 0, 26, 119, 0, 26, 23, 0, 0, -19, 0, -49, -10, 0, 3, 0, 0, 46, 21, 0, -2, -99, 0, -7, -15, 0, 47, -7, 0, 0, 1, 0, -31, 63, 0, 53, 0, 0, 81, 18, 0, 63, -31, 0, 9, -126, 0, 35, 9, 0, 0, 60, 0, -43, 11, 0, 16, 0, 0, -9, 12, 0, -21, 39, 0, 26, 35, 0, -17, 77, 0, 0, 50, 0, -39, -28, 0, 76, 0, 0, -10, 1, 0, -50, 2, 0, 48, -59, 0, 75, -38, 0, 0, 54, 0, -29, -28, 0, -26, 0, 0, 86, 15, 0, 20, 15, 0, 11, -41, 0, 54, 18, 0, 0, 24, 0, -7, -34, 0, -58, 0, 0, 23, -3, 0, 106, 35, 0, -10, 43, 0, 22, 29, 0, 0, 12, 0, 12, 7, 0, 39, 0, 0, 107, -27, 0, 36, -14, 0, -21, 31, 0, 35, 65, 0, 0, 2, 0, 6, -57, 0, -28, 0, 0, -7, -21, 0, -97, -58, 0, -29, -131, 0, -38, 48, 0, 0, 15, 0, 13, -9, 0, 22, 0, 0, -134, -3, 0, 5, -47, 0, 11, 27, 0, -4, -41, 0, 0, -70, 0, 62, 95, 0, -49, 0, 0, 59, 21, 0, 23, -44, 0, -9, 153, 0, -7, -61, 0, 0, 56, 0, 70, 47, 0, -23, 0, 0, -114, 4, 0, 42, 60, 0, 81, 46, 0, -8, -49, 0, 0, -13, 0, 51, 52, 0, -3, 0, 0, 33, -69, 0, -45, -10, 0, 53, 3, 0, -163, 95, 0, 0, -25, 0, -36, 31, 0, -56, 0, 0, -11, 23, 0, 29, -28, 0, -35, -7, 0, 41, -20, 0, 0, 17, 0, -5, 24, 0, 20, 0, 0, 0, 82, 0, 14, -15, 0, 31, 4, 0, 77, -28, 0, 0, -33, 0, 107, 7, 0, 3, 0, 0, 29, 11, 0, 40, -6, 0, 77, 9, 0, -18, 14, 0, 0, 1, 0, -34, -8, 0, -13, 0, 0, -14, 11, 0, 0, -2, 0, -13, -2, 0, 31, 8, 0, 0, 42, 0, 111, 20, 0, 25, 0, 0, 35, 26, 0, -4, 8, 0, -15, 39, 0, 49, -33, 0, 0, 93, 0, 35, 20, 0, 82, 0, 0, -20, -2, 0, 11, -45, 0, -4, 46, 0, -44, -30, 0, 0, -30, 0, -18, 22, 0, 33, 0, 0, 40, -25, 0, 13, -65, 0, 6, 98, 0, -9, -148, 0, 0, 33, 0, 32, -83, 0, -104, 0, 0, 5, -31, 0, 42, 16, 0, -14, -27, 0, -59, -34, 0, 0, 76, 0, -40, 12, 0, -25, 0, 0, 49, 13, 0, -2, 47, 0, -27, 14, 0, 9, -26, 0, 0, 6, 0, -38, 21, 0, 130, 0, 0, 18, -51, 0, -17, 75, 0, 45, 16, 0, 99, -9, 0, 0, -50, 0, 59, 54, 0, 41, 0, 0, -50, 0, 0, -2, -98, 0, -18, 23, 0, 39, 77, 0, 0, -35, 0, 34, -201, 0, 1, 0, 0, -12, -81, 0, -14, -35, 0, 49, -87, 0, -62, -47, 0, 0, -65, 0, -53, -5, 0, 0, 0, 0, 77, -52, 0, 8, -99, 0, 58, -1, 0, -11, -22, 0, 0, 50, 0, 60, 107, 0, 81, 0, 0, 93, -18, 0, 62, 27, 0, -28, 81, 0, -95, -56, 0, 0, -98, 0, -67, -65, 0, 42, 0, 0, -110, -6, 0, -74, 77, 0, -36, -30, 0, 0, -67, 0, 0, -34, 0, 12, 51, 0, -169, 0, 0, -9, -118, 0, 41, -27, 0, -37, -47, 0, 36, -45, 0, 0, 88, 0, 10, -1, 0, 113, 0, 0, 79, -49, 0, 35, -13, 0, 46, 0, 0, 47, 18, 0, 0, 45, 0, 59, 42, 0, -98, 0, 0, 24, 83, 0, 102, -66, 0, -17, -75, 0, -6, 12, 0, 0, -46, 0, -145, 45, 0, -21, 0, 0, 47, -71, 0, 72, 8, 0, -60, 47, 0, 10, -77, 0, 0, -6, 0, 3, 22, 0, 73, 0, 0, -5, 37, 0, -45, -39, 0, 35, -103, 0, 114, -14, 0, 0, -22, 0, 49, -33, 0, -6, 0, 0, -37, -70, 0, 2, 27, 0, -96, 27, 0, -28, 44, 0, 0, -17, 0, -8, 25, 0, -29, 0, 0, -31, 37, 0, -189, -42, 0, 23, 38, 0, -13, -40, 0, 0, 99, 0, -35, 92, 0, 40, 0, 0, -154, -4, 0, -59, -89, 0, 121, -45, 0, 8, 29, 0, 0, -19, 0, 44, -143, 0, 68, 0, 0, 4, 64, 0, 166, -5, 0, 126, -21, 0, 44, -89, 0, 0, 37, 0, -33, -20, 0, -4, 0, 0, 59, 16, 0, -35, 63, 0, 2, -15, 0, -28, 17, 0, 0, -81, 0, 3, 22, 0, -2, 0, 0, 44, -47, 0, -148, -49, 0, -78, -68, 0, 21, -9, 0, 0, 7, 0, -6, 0, 0, -17, 0, 0, -1, -29, 0, 29, -62, 0, -74, 42, 0, -15, -114, 0, 0, 0, 0, -1, -82, 0, 83, 0, 0, -34, 71, 0, 1, -93, 0, 11, 3, 0, -1, -1, 0, 0, -34, 0, 147, 3, 0, 42, 0, 0, 49, 58, 0, 46, 56, 0, -15, -23, 0, -30, -80, 0, 0, 71, 0, -16, -209, 0, 105, 0, 0, 7, -59, 0, -163, -25, 0, -13, -33, 0, -79, -33, 0, 0, -165, 0, -30, 11, 0, -65, 0, 0, -49, 15, 0, 25, 98, 0, -14, -15, 0, -10, -23, 0, 0, 14, 0, 21, -123, 0, -89, 0, 0, 36, 159, 0, 137, -1, 0, -17, -39, 0, 56, -92, 0, 0, 9, 0, 101, -14, 0, 33, 0, 0, 86, -78, 0, 27, -62, 0, -48, -2, 0, 71, 91, 0, 0, 48, 0, -14, -53, 0, -17, 0, 0, -136, -35, 0, -29, 126, 0, -41, 47, 0, -72, 16, 0, 0, -145, 0, 63, 42, 0, 7, 0, 0, 32, -21, 0, 51, -40, 0, 42, -18, 0, 3, 19, 0, 0, 9, 0, 2, 42, 0, 48, 0, 0, 20, -108, 0, -4, -59, 0, 8, 30, 0, 128, 7, 0, 0, -43, 0, 45, -11, 0, 16, 0, 0, -113, 1, 0, -13, 9, 0, -21, 5, 0, -18, 35, 0, 0, 38, 0, 6, -51, 0, -103, 0, 0, 50, -93, 0, 11, 31, 0, 3, -78, 0, -93, 75, 0, 0, -63, 0, -19, -32, 0, 7, 0, 0, 71, -14, 0, 121, -22, 0, -10, 65, 0, -24, 211, 0, 0, -18, 0, 42, 57, 0, 129, 0, 0, -53, 26, 0, 120, 20, 0, -41, -106, 0, -43, 66, 0, 0, -39, 0, -164, 7, 0, -83, 0, 0, -52, 16, 0, 71, 110, 0, 77, -2, 0, 44, 79, 0, 0, 50, 0, 10, 98, 0, -21, 0, 0, -113, 66, 0, -112, -15, 0, 43, -125, 0, -19, -13, 0, 0, -20, 0, -96, 18, 0, -20, 0, 0, -117, -35, 0, -58, 73, 0, -12, 36, 0, -121, 88, 0, 0, -1, 0, -25, -28, 0, -45, 0, 0, -11, 70, 0, 103, 37, 0, -69, -43, 0, 19, 42, 0, 0, -133, 0, 25, 2, 0, 20, 0, 0, -51, 34, 0, 56, -7, 0, -120, 26, 0, 119, -118, 0, 0, 26, 0, 23, 29, 0, -23, 0, 0, -19, 40, 0, -3, -49, 0, -10, 27, 0, 7, 3, 0, 0, 59, 0, -23, 46, 0, 21, 0, 0, -21, -2, 0, -99, 68, 0, -89, -7, 0, -15, 30, 0, 0, 47, 0, -7, -8, 0, -192, 0, 0, 1, 81, 0, -4, -31, 0, 63, -85, 0, -126, 53, 0, 0, 0, 0, -28, 81, 0, 18, 0, 0, -21, 63, 0, -31, 98, 0, -58, 9, 0, -126, 119, 0, 0, 35, 0, 9, 102, 0, -68, 0, 0, 60, -52, 0, -142, -43, 0, 11, -14, 0, -91, 16, 0, 0, 21, 0, 38, -9, 0, 12, 0, 0, 88, -21, 0, 39, -85, 0, 77, 26, 0, 35, -111, 0, 0, -17, 0, 77, 97, 0, 56, 0, 0, 50, -13, 0, -102, -39, 0, -28, 51, 0, -41, 76, 0, 0, -13, 0, -30, -10, 0, 1, 0, 0, -111, -50, 0, 2, 26, 0, -34, 48, 0, -59, -133, 0, 0, 75, 0, -38, -6, 0, 114, 0, 0, 54, 121, 0, 111, -29, 0, -28, 148, 0, 12, -26, 0, 0, -155, 0, 9, 86, 0, 15, 0, 0, -77, 20, 0, 15, 155, 0, -15, 11, 0, -41, -47, 0, 0, 54, 0, 18, -62, 0, -102, 0, 0, 24, 136, 0, -20, -7, 0, -34, 53, 0, -97, -58, 0, 0, 85, 0, -49, 23, 0, -3, 0, 0, -59, 106, 0, 35, 31, 0, -188, -10, 0, 43, 103, 0, 0, 22, 0, 29, -49, 0, 39, 0, 0, 12, -49, 0, -28, 12, 0, 7, 91, 0, -107, 39, 0, 0, 50, 0, -86, 107, 0, -27, 0, 0, -40, 36, 0, -14, -8, 0, 108, -21, 0, 31, 94, 0, 0, 35, 0, 65, -36, 0, 78, 0, 0, 2, -46, 0, -162, 6, 0, -57, 137, 0, 97, -28, 0, 0, -67, 0, -78, -7, 0, -21, 0, 0, 63, -97, 0, -58, 112, 0, -222, -29, 0, -131, 23, 0, 0, -38, 0, 48, -125, 0, 42, 0, 0, 15, -63, 0, -3, 13, 0, -9, -39, 0, -86, 22, 0, 0, 256, 0, 100, -134, 0, -3, 0, 0, 72, 5, 0, -47, -84, 0, 9, 11, 0, 27, -81, 0, 0, -4, 0, -41, 84, 0, -48, 0, 0, -70, -63, 0, 102, 62, 0, 95, -10, 0, 88, -49, 0, 0, 59, 0, -183, 59, 0, 21, 0, 0, -97, 23, 0, -44, -83, 0, -13, -9, 0, 153, 135, 0, 0, -7, 0, -61, -7, 0, -117, 0, 0, 56, -62, 0, -116, 70, 0, 47, 0, 0, 35, -23, 0, 0, 22, 0, -12, -114, 0, 4, 0, 0, -174, 42, 0, 60, -75, 0, 189, 81, 0, 46, -15, 0, 0, -8, 0, -49, 72, 0, -5, 0, 0, -13, -91, 0, 140, 51, 0, 52, -119, 0, -71, -3, 0, 0, 80, 0, 21, 33, 0, -69, 0, 0, 86, -45, 0, -10, -92, 0, 81, 53, 0, 3, 3, 0, 0, -163, 0, 95, -55, 0, 49, 0, 0, -25, -4, 0, -25, -36, 0, 31, 147, 0, -10, -56, 0, 0, -4, 0, -207, -11, 0, 23, 0, 0, -84, 29, 0, -28, 132, 0, -98, -35, 0, -7, -76, 0, 0, 41, 0, -20, -233, 0, -42, 0, 0, 17, -81, 0, -77, -5, 0, 24, 25, 0, 111, 20, 0, 0, 122, 0, 54, 0, 0, 82, 0, 0, 62, 14, 0, -15, 15, 0, 13, 31, 0, 4, 69, 0, 0, 77, 0, -28, 182, 0, 36, 0, 0, -33, 6, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0], [1, 0, 0], [1, 0, 0], [0, 0, 0], [1, 0, 0], [1, -1, 0], [0, 0, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [1, -1, 0], [-4, 1, -2], [0, 0, 0], [-3, 1, 1], [0, 0, 0], [0, 0, 0], [1, 0, 0], [2, 2, 1], [0, 0, 0], [-3, 2, -5], [1, -1, 0], [0, 0, 0], [-4, 1, -2], [-2, 2, 3], [0, 0, 0], [-2, -2, 1], [-3, 1, 1], [0, 0, 0], [0, 0, 0], [1, -5, 4], [0, 0, 0], [5, -5, 7], [1, 0, 0], [0, 0, 0], [2, 2, 1], [0, 0, 0], [0, 0, 0], [-2, -2, 3], [-3, 2, -5], [0, 0, 0], [1, -1, 0], [-2, -3, -2], [0, 0, 0], [-2, -3, 0], [-4, 1, -2], [0, 0, 0], [-2, 2, 3], [-1, 7, 1], [0, 0, 0], [0, 0, 0], [-2, -2, 1], [0, 0, 0], [-3, 1, 1], [-4, -1, -1], [0, 0, 0], [-4, 5, -1], [0, 0, 0], [0, 0, 0], [1, -5, 4], [-1, 2, -3], [0, 0, 0], [-4, 4, -3], [5, -5, 7], [0, 0, 0], [1, 0, 0], [-6, 4, -1], [0, 0, 0], [-5, 8, -5], [2, 2, 1], [0, 0, 0], [0, 0, 0], [-10, 3, -3], [0, 0, 0], [-1, -9, 1], [-2, -2, 3], [0, 0, 0], [-3, 2, -5], [0, 0, 0], [0, 0, 0], [-10, 7, -6], [1, -1, 0], [0, 0, 0], [-2, -3, -2], [10, -4, -3], [0, 0, 0], [-3, 0, -2], [-2, -3, 0], [0, 0, 0], [-4, 1, -2], [6, -3, 11], [0, 0, 0], [0, 0, 0], [-2, 2, 3], [0, 0, 0], [-1, 7, 1], [-2, 5, -2], [0, 0, 0], [-4, 5, -3], [0, 0, 0], [0, 0, 0], [-2, -2, 1]]}