# Stored data for newform 3969.2.a.q, downloaded from the LMFDB on 19 April 2026. {"Nk2": 15876, "analytic_conductor": 31.692624562246184, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [3969, 1, [2108, 3727], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 18, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [3, 0, -3, 1]], [5, [-3, 0, 3, 1]], [11, [-3, 9, -6, 1]], [13, [107, -33, -3, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594071486337, "hecke_ring_generator_nbound": 2, "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": "3969.2.a.q", "level": 3969, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 7], "level_radical": 21, "minimal_twist": "63.2.f.a", "nf_label": "3.3.81.1", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{2}+(1-2\\beta _{1}+\\beta _{2})q^{4}+(-1+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3969.2.a", "trace_display": [3, 0, -3, 0], "trace_hash": 270252290790055965, "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "2.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.649", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "247.988", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.005", "prec": 17}, "traces": [0, 3, 3, 0, 3, -3, 0, 0, 6, 0, 0, 6, 0, 3, 0, 0, 3, -6, 0, 3, 6, 0, 9, 12, 0, -6, 3, 0, 0, 9, 0, 3, 0, 0, -9, 0, 0, -3, -6, 0, 9, 0, 0, -3, 15, 0, 0, -3, 0, 0, -6, 0, 21, 6, 0, 0, 0, 0, -9, 3, 0, -6, 30, 0, 12, 15, 0, -12, -6, 0, 0, 9, 0, 21, -30, 0, -15, 0, 0, -21, 15, 0, 9, 18, 0, 9, 6, 0, 27, -12, 0, 0, 3, 0, 18, -12, 0, 3, 0, 0, -15, 21, 0, -6, 60, 0, 18, 3, 0, 15, 9, 0, 0, 36, 0, -9, -36, 0, -27, 0, 0, -15, 12, 0, 30, 12, 0, -12, 3, 0, 36, 15, 0, 0, -21, 0, 0, 15, 0, -15, 0, 0, 9, 24, 0, -36, 48, 0, -30, -6, 0, -3, -12, 0, 0, -3, 0, 3, -30, 0, 9, 0, 0, 6, 9, 0, -9, 9, 0, 36, 9, 0, 6, -39, 0, 0, 24, 0, -9, -21, 0, 21, 0, 0, 45, 3, 0, -9, 15, 0, -9, 3, 0, 15, -15, 0, 0, 45, 0, -6, -39, 0, 36, 0, 0, 0, -24, 0, 57, -3, 0, -3, 33, 0, -9, 3, 0, 0, 24, 0, 18, 12, 0, -15, 0, 0, 36, 21, 0, -15, 18, 0, -45, 21, 0, 0, -42, 0, 0, 9, 0, 30, 3, 0, 21, 0, 0, -15, -21, 0, -18, 18, 0, 27, 51, 0, -51, -48, 0, 0, 24, 0, 27, -3, 0, 9, 0, 0, -12, 21, 0, -24, 3, 0, 36, -21, 0, 6, -60, 0, 0, 54, 0, -15, -18, 0, 45, 0, 0, -33, -36, 0, 57, -9, 0, -18, 21, 0, -27, 48, 0, 0, -21, 0, -24, 15, 0, -6, 0, 0, -27, 48, 0, 3, 48, 0, -21, -24, 0, -9, -30, 0, 0, -6, 0, -42, 15, 0, -9, 0, 0, 42, -18, 0, -63, 21, 0, 15, 72, 0, -9, 6, 0, 0, -15, 0, -90, 15, 0, -24, 0, 0, 9, -24, 0, -36, -39, 0, -18, -6, 0, -36, -6, 0, 0, -12, 0, -15, 21, 0, 27, 0, 0, 15, -18, 0, -36, -63, 0, -3, -3, 0, -18, 33, 0, 0, 33, 0, -60, -21, 0, -9, 0, 0, 45, 30, 0, 57, -24, 0, -33, 12, 0, -51, 39, 0, 0, -6, 0, 12, -9, 0, -33, 0, 0, -27, 0, 0, -27, 36, 0, -39, -21, 0, 45, 3, 0, 0, 3, 0, -9, 15, 0, -51, 0, 0, 15, 21, 0, -33, 18, 0, 9, -6, 0, -18, 3, 0, 0, 0, 0, 0, 54, 0, 9, 0, 0, -57, -87, 0, 27, -18, 0, -12, -72, 0, -18, 69, 0, 0, -27, 0, -9, -6, 0, 3, 0, 0, 63, 75, 0, 51, 12, 0, 30, -48, 0, -21, -3, 0, 0, -27, 0, -27, -60, 0, 3, 0, 0, 6, -51, 0, 81, 36, 0, -18, 18, 0, 105, 24, 0, 0, -75, 0, -18, -3, 0, -9, 0, 0, -27, 39, 0, -33, 78, 0, -36, -33, 0, 21, 18, 0, 0, -18, 0, 9, 12, 0, -27, 0, 0, 33, -33, 0, -9, -24, 0, 24, 78, 0, -36, 54, 0, 0, -39, 0, -105, -3, 0, -21, 0, 0, 27, 30, 0, -18, -96, 0, -63, -51, 0, -39, 87, 0, 0, -42, 0, 48, -24, 0, -9, 0, 0, 27, 42, 0, 27, -54, 0, -24, 0, 0, -3, -57, 0, 0, -69, 0, 18, 42, 0, 66, 0, 0, -84, 42, 0, -51, -27, 0, 0, -57, 0, -3, 21, 0, 0, 72, 0, 66, 6, 0, 63, 0, 0, -15, -69, 0, 93, 33, 0, 6, -6, 0, -81, 66, 0, 0, -63, 0, -45, 42, 0, 57, 0, 0, 0, 21, 0, -9, -60, 0, 6, -24, 0, 36, 0, 0, 0, -9, 0, -15, 15, 0, 36, 0, 0, 36, -117, 0, 27, -3, 0, 42, -39, 0, 72, -3, 0, 0, -36, 0, 63, 96, 0, 27, 0, 0, -3, 42, 0, 12, -102, 0, 18, -30, 0, -9, -60, 0, 0, 18, 0, 24, 6, 0, 0, 0, 0, 6, -54, 0, -117, -69, 0, 18, -21, 0, 45, 33, 0, 0, -45, 0, -6, 18, 0, 39, 0, 0, -9, -3, 0, -33, -60, 0, -36, -15, 0, -93, -6, 0, 0, -18, 0, -36, 24, 0, -27, 0, 0, 33, -12, 0, -171, -60, 0, 42, -3, 0, -9, -30, 0, 0, 12, 0, 72, 3, 0, -60, 0, 0, 42, 3, 0, 21, -111, 0, -36, -9, 0, -9, -9, 0, 0, 42, 0, 57, 18, 0, 27, 0, 0, -6, 30, 0, -33, -72, 0, -18, 0, 0, 99, 51, 0, 0, 30, 0, 36, 24, 0, 12, 0, 0, -63, -15, 0, -12, 30, 0, 0, -15, 0, 96, -21, 0, 0, 9, 0, -15, 9, 0, -42, 0, 0, -63, -48, 0, 90, -27, 0, 66, -30, 0, -21, -36, 0, 0, 51, 0, 9, 69, 0, -33, 0, 0, 54, 12, 0, 93, -6, 0, 117, -6, 0, 27, -69, 0, 0, -33, 0, 42, -6, 0, -45, 0, 0, 6, -123, 0, 27, -99, 0, 15, -42, 0, 36, -12, 0, 0, -63, 0, 39, -21, 0, 18, 0, 0, -27, -18, 0, -9, 18, 0, 126, -21, 0, 51, 12, 0, 0, 27, 0, 27, -84, 0, -123, 0, 0, 24, -18, 0, -27, -99, 0, -21, -12, 0, -54, -75, 0, 0, -60, 0, 54, 0, 0, -6, 0, 0, -9, 93, 0, -27, -42, 0, 9, -24, 0, 3, 39, 0, 0, 54, 0, 27, 81, 0, 72, 0, 0, 72, -30, 0, 3, -6, 0, -66, 33, 0, -72, 78, 0, 0, -75, 0, 21, 51, 0, -54, 0, 0, -126, -96, 0, -72, -18, 0, -69, -39, 0, 105, 81, 0, 0, -3, 0, -6, 24, 0, -45, 0, 0, 9, 72, 0, 117, -21, 0, 42, -9, 0, 36, -39, 0, 0, 75, 0, -36, 123, 0, 84, 0, 0, -60, 9, 0, 33, -12, 0, 0, 21, 0, -57, 27, 0, 0, 3, 0, -15, -21, 0, 9, 0, 0, -18, 21, 0, 171, -54, 0, -21, -129, 0, -63, 3, 0, 0, -114, 0, 27, -57, 0, 48, 0, 0, 9, -39, 0, 111, 36, 0, 15, 18, 0, 15, -60, 0, 0, 36, 0, -81, -21, 0, -51, 0, 0, 6, -33, 0, -27, 27, 0, 24, -30, 0, 135, -57, 0, 0, -66, 0, 45, -30, 0, -63, 0, 0, -48, 57, 0, 45, -120, 0, -117, 51, 0, -21, 6, 0, 0, 48, 0, -42, -18, 0, 45, 0, 0, -48, 36, 0, -150, -21, 0, -18, -72, 0, -9, 42, 0, 0, -75, 0, 153, -21, 0, -165, 0, 0, -9, 3, 0, 75, -6, 0, -42, -138, 0, -33, 9, 0, 0, -45, 0, -63, 72, 0, 48, 0, 0, -57, 54, 0, -135, 33, 0, 18, 21, 0, -9, 60, 0, 0, -81, 0, 0, 51, 0, -9, 0, 0, -117, -96, 0, 9, 39, 0, 90, 21, 0, -39, 93, 0, 0, -39, 0, -45, -177, 0, 36, 0, 0, 15, 57, 0, 39, -108, 0, 18, -3, 0, 0, 33, 0, 0, 33, 0, 66, -75, 0, -15, 0, 0, 135, 6, 0, 129, 156, 0, 117, -60, 0, 90, 57, 0, 0, -18, 0, 48, -6, 0, -150, 0, 0, -27, 96, 0, 63, -18, 0, -141, -39, 0, 6, -9, 0, 0, -123, 0, 45, 54, 0, -12, 0, 0, -117, 120, 0, -78, 6, 0, 90, 48, 0, 54, -15, 0, 0, 36, 0, -42, 21, 0, 72, 0, 0, 42, -81, 0, -87, 63, 0, 60, -24, 0, -81, -30, 0, 0, 90, 0, 27, 3, 0, -90, 0, 0, 144, -6, 0, -51, 21, 0, 6, -30, 0, -84, -9, 0, 0, -69, 0, 51, -99, 0, -72, 0, 0, -6, -15, 0, 36, 60, 0, -54, -3, 0, -12, 36, 0, 0, 36, 0, 63, 6, 0, 72, 0, 0, -45, 75, 0, -18, 96, 0, 90, 120, 0, 54, 63, 0, 0, 63, 0, -9, 27, 0, 108, 0, 0, 33, 3, 0, -63, -15, 0, -15, 87, 0, -45, 75, 0, 0, -18, 0, -114, 30, 0, 66, 0, 0, 72, -60, 0, -99, -21, 0, -36, 48, 0, -18, 21, 0, 0, -39, 0, -39, 6, 0, -9, 0, 0, -3, -102, 0, 108, -18, 0, 60, 63, 0, -54, -84, 0, 0, 48, 0, -45, 60, 0, 81, 0, 0, -45, 15, 0, 102, 69, 0, 99, -15, 0, 33, 84, 0, 0, 132, 0, 66, 51, 0, -9, 0, 0, 36, 39, 0, -60, 108, 0, 60, 39, 0, -36, -6, 0, 0, -111, 0, -117, -21, 0, -6, 0, 0, -9, 57, 0, -150, -63, 0, 6, -6, 0, -27, -36, 0, 0, 99, 0, -21, -30, 0, 63, 0, 0, 72, -162, 0, -108, 9, 0, -9, 33, 0, -48, -54, 0, 0, 6, 0, -90, 42, 0, 12, 0, 0, 117, -75, 0, 75, 42, 0, -117, 51, 0, -54, -42, 0, 0, -3, 0, 48, 39, 0, 27, 0, 0, -21, -60, 0, -132, 18, 0, -54, 15, 0, 9, -30, 0, 0, -27, 0, -18, -84, 0, 21, 0, 0, 45, -6, 0, 57, -6, 0, 9, 54, 0, 51, -33, 0, 0, -9, 0, -18, 66, 0, 30, 0, 0, -51, -21, 0, -27, -45, 0, -48, -36, 0, 3, -30, 0, 0, 111, 0, 135, 114, 0, -6, 0, 0, 156, 57, 0, 27, 30, 0, -27, 12, 0, 15, -6, 0, 0, -60, 0, -123, -96, 0, -27, 0, 0, -18, 15, 0, 120, 9, 0, -54, 36, 0, 126, 33, 0, 0, 132, 0, -33, -33, 0, 78, 0, 0, -63, -51, 0, -51, 48, 0, 27, -69, 0, 78, -105, 0, 0, 54, 0, 48, -36, 0, -45, 0, 0, -3, 153, 0, -9, 21, 0, -105, 75, 0, -93, 12, 0, 0, 12, 0, -36, 15, 0, 21, 0, 0, 36, 48, 0, -6, 30, 0, -108, 195, 0, 27, -78, 0, 0, -9, 0, 99, 39, 0, 72, 0, 0, -54, 21, 0, 27, 45, 0, -48, 150, 0, -45, 51, 0, 0, 27, 0, -141, -138, 0, 54, 0, 0, -63, -132, 0, 84, 33, 0, -12, -30, 0, 33, -69, 0, 0, 21, 0, -15, 33, 0, -132, 0, 0, -84, 27, 0, -18, 18, 0, 45, 60, 0, -126, -72, 0, 0, 30, 0, -36, 36, 0, 75, 0, 0, -54, 141, 0, 93, 60, 0, 36, 30, 0, -3, -9, 0, 0, 3, 0, 9, -54, 0, 72, 0, 0, 6, -27, 0, 27, 36, 0, -105, 90, 0, 27, 105, 0, 0, 177, 0, 63, -39, 0, 18, 0, 0, 27, -51, 0, -33, -18, 0, -165, -132, 0, 78, -66, 0, 0, 15, 0, -36, -21, 0, 18, 0, 0, 66, 0, 0, -153, 36, 0, -108, 60, 0, 15, -48, 0, 0, 117, 0, -153, 72, 0, 3, 0, 0, -45, -33, 0, 30, 96, 0, -9, 21, 0, -21, -51, 0, 0, -9, 0, 21, 81, 0, 144, 0, 0, 72, 36, 0, -90, 144, 0, 75, 12, 0, -90, -42, 0, 0, 102, 0, 57, -156, 0, -90, 0, 0, 162, -78, 0, 135, 81, 0, 18, 39, 0, -63, 39, 0, 0, 3, 0, -54, -36, 0, -156, 0, 0, 45, 51, 0, 0, -9, 0, -66, 69, 0, 66, -132, 0, 0, -39, 0, 27, -63, 0, 72, 0, 0, -30, 111, 0, -69, 54, 0, 27, 0, 0, 21, -90, 0, 0, -33, 0, -219, -144, 0, -162, 0, 0, -45, -54, 0, 54, 90, 0, 15, -12, 0, 36, -93, 0, 0, 60, 0, 12, -57, 0, 3, 0, 0, 0, 42, 0, 129, -6, 0, -48, -78, 0, 15, -87, 0, 0, -189, 0, 0, 36, 0, -54, 0, 0, -129, 117, 0, -45, 177, 0, -39, 33, 0, 45, 48, 0, 0, 117, 0, -72, -30, 0, -51, 0, 0, 150, 3, 0, -27, -75, 0, 135, 165, 0, 93, 147, 0, 0, 78, 0, -117, -81, 0, -18, 0, 0, 96, 24, 0, -108, 39, 0, 135, -21, 0, 45, 123, 0, 0, -21, 0, 36, -84, 0, 15, 0, 0, -9, -45, 0, -93, 39, 0, 63, -141, 0, -84, -15, 0, 0, 72, 0, -15, -18, 0, 102, 0, 0, 27, 168, 0, -27, -54, 0, 36, 42, 0, -252, -24, 0, 0, -33, 0, 18, -93, 0, 93, 0, 0, -123, 0, 0, -48, 36, 0, -180, 39, 0, -27, -78, 0, 0, 18, 0, 30, 45, 0, -117, 0, 0, 141, 84, 0, 18, 81, 0, 69, -27, 0, -72, 18, 0, 0, -12, 0, -9, -84, 0, 18, 0, 0, -63, 15, 0, 48, 81, 0, -57, -21, 0, 63, -93, 0, 0, -63, 0, 9, 42, 0, -18, 0, 0, 24, 21, 0, 90, 132, 0, -45, -12, 0, 33, -21, 0, 0, 141, 0, -198, 24, 0, -75, 0, 0, -117, 90, 0, 138, 36, 0, -54, 138, 0, -24, -99, 0, 0, -162, 0, 0, 30, 0, 0, 0, 0, 24, 99, 0, -150, 87, 0, 9, -192, 0, 54, -24, 0, 0, 114, 0, 24, -129, 0, -15, 0, 0, 9, -33, 0, -27, 75, 0, 0, 15, 0, -147, 147, 0, 0, 9, 0, -75, -237, 0, 90, 0, 0, 156, -111, 0, -72, -36, 0, -21, 18, 0, 0, -75, 0, 0, 39, 0, 63, 3, 0, -24, 0, 0, -156, -24, 0, 3, 150, 0, 0, -90, 0, 69, -57, 0, 0, -45, 0, -60, -24, 0, -126, 0, 0, 45, 129, 0, -33, 27, 0, 69, -129, 0, -189, 39, 0, 0, 3, 0, 45, -6, 0, 45, 0, 0, 36, -39, 0, -9, -45, 0, 126, -51, 0, -27, 81, 0, 0, -36, 0, 138, 69, 0, 27, 0, 0, -66, -117, 0, -27, 171, 0, 75, 9, 0, -15, -93, 0, 0, -81, 0, 81, 30, 0, 9, 0, 0, -12, 12, 0, -105, -3, 0, 216, 75, 0, -12, 27, 0, 0, 72, 0, 48, -132, 0, -54, 0, 0, -102, -18, 0, 189, 45, 0, -108, 168, 0, 45, 78, 0, 0, 114, 0, 111, -177, 0, 117, 0, 0, 0, 102, 0, -129, -54, 0, -192, -42, 0, -45, -3, 0, 0, -9, 0, 66, 168, 0, 147, 0, 0, -27, 75, 0, -63, 66, 0, 42, 63, 0, 36, -75, 0, 0, 69, 0, 9, 33, 0, -102, 0, 0, -57, 6, 0, 9, 96, 0, -81, 183, 0, 72, 21, 0, 0, 99, 0, -96, 117, 0, 27, 0, 0, 24, 147, 0, 201, -54, 0, 93, 96, 0, -108, 165, 0, 0, 144, 0, 63, -48, 0, 9, 0, 0, 36, -78, 0, 45, -33, 0, 66, 27, 0, 6, -165, 0, 0, 15, 0, 15, -81, 0, 138, 0, 0, -36, 33, 0, 45, -66, 0, 114, -285, 0, 15, -33, 0, 0, -27, 0, 45, -30, 0, -9, 0, 0, -117, -48, 0, 39, 30, 0, 9, 147, 0, -63, -12, 0, 0, -72, 0, 129, -126, 0, 153, 0, 0, -111, 30, 0, 18, -63, 0, 0, 159, 0, 162, -39, 0, 0, -18, 0, -60, -117, 0, 12, 0, 0, 72, -123, 0, 81, -69, 0, 45, 18, 0, -6, 183, 0, 0, -36, 0, -51, 213, 0, -135, 0, 0, 180, -147, 0, 0, -48, 0, -63, -30, 0, -21, 15, 0, 0, -6, 0, -45, 114, 0, -150, 0, 0, 81, -33, 0, 33, 0, 0, 54, -90, 0, 36, -153, 0, 0, 9, 0, 63, 243, 0, 189, 0, 0, 75, 93, 0, -60, -30, 0, -12, 84, 0, -81, 51, 0, 0, -102, 0, -81, -57, 0, 21, 0, 0, -54, -168, 0, 54, -21, 0, -153, -6, 0, -39, -153, 0, 0, -42, 0, 66, -78, 0, -90, 0, 0, -12, 60, 0, 90, 126, 0, -39, -18, 0, -39, -111, 0, 0, 165, 0, 63, 132, 0, -156, 0, 0, 36, -69, 0, -51, -12, 0, -27, -15, 0, -21, -135, 0, 0, -39, 0, -51, 0, 0, -18, 0, 0, -3, 99, 0, 54, -81, 0, -21, 96, 0, 207, 39, 0, 0, -54, 0, 72, 42, 0, 33, 0, 0, 9, -27, 0, -87, -90, 0, -12, 93, 0, -63, 177, 0, 0, 96, 0, 27, 195, 0, -69, 0, 0, -3, -75, 0, 27, -30, 0, -108, -42, 0, 234, -165, 0, 0, -75, 0, 63, -60, 0, -72, 0, 0, -9, -51, 0, -69, -174, 0, 198, 39, 0, 24, 66, 0, 0, 54, 0, -96, 126, 0, 81, 0, 0, -105, -63, 0, 15, 207, 0, 72, -147, 0, 180, 123, 0, 0, -9, 0, -9, -108, 0, -90, 0, 0, -27, 57, 0, -6, -30, 0, 60, -6, 0, 0, 81, 0, 0, -81, 0, 99, 6, 0, 9, 0, 0, -21, 165, 0, 18, -42, 0, -12, -39, 0, 90, -30, 0, 0, -30, 0, -99, 69, 0, 78, 0, 0, -54, -108, 0, 72, -156, 0, 72, 165, 0, -15, 171, 0, 0, -75, 0, -42, -63, 0, -45, 0, 0, -99, 39, 0, 21, -72, 0, 93, 135, 0, -126, -21, 0, 0, 168, 0, 192, 42, 0, 27, 0, 0, -9, 27, 0, 21, 102, 0, 153, -129, 0, 102, -3, 0, 0, 36, 0, 36, 18, 0, 21, 0, 0, 72, 15, 0, 144, -171, 0, 117, 78, 0, 18, -12, 0, 0, -51, 0, 99, 57, 0, -33, 0, 0, -120, -132, 0, 9, -96, 0, -54, -78, 0, 54, 120, 0, 0, 54, 0, 120, -108, 0, -108, 0, 0, -15, -132, 0, -54, -66, 0, -87, -33, 0, 72, 36, 0, 0, 72, 0, -36, 45, 0, 36, 0, 0, 162, -222, 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, -1, 0], [0, 0, 0], [1, -2, 1], [-1, -1, 1], [0, 0, 0], [0, 0, 0], [2, -2, 3], [0, 0, 0], [0, -1, 2], [2, -1, 1], [0, 0, 0], [1, -2, 4], [0, 0, 0], [0, 0, 0], [1, -3, 3], [-2, 0, 1], [0, 0, 0], [1, 2, -1], [2, -1, 1], [0, 0, 0], [3, -4, 2], [4, 1, 2], [0, 0, 0], [-2, 1, -2], [1, -7, 6], [0, 0, 0], [0, 0, 0], [3, 5, -4], [0, 0, 0], [1, -3, -3], [0, -3, 0], [0, 0, 0], [-3, 1, 1], [0, 0, 0], [0, 0, 0], [-1, 3, 3], [-2, 2, -3], [0, 0, 0], [3, -2, -2], [0, -1, -1], [0, 0, 0], [-1, -1, -1], [5, -7, 4], [0, 0, 0], [0, -5, 1], [-1, -2, -3], [0, 0, 0], [0, 0, 0], [-2, 5, -3], [0, 0, 0], [7, -10, 5], [2, -3, 2], [0, 0, 0], [0, -2, 1], [0, 0, 0], [0, 0, 0], [-3, 6, -9], [1, 5, 0], [0, 0, 0], [-2, -3, 0], [10, -1, 0], [0, 0, 0], [4, 3, -3], [5, -1, -5], [0, 0, 0], [-4, 0, 3], [-2, 3, -2], [0, 0, 0], [0, 0, 0], [3, 3, -6], [0, 0, 0], [7, -4, -1], [-10, 1, 0], [0, 0, 0], [-5, 3, -3], [0, 0, 0], [0, 0, 0], [-7, 0, 3], [5, -1, -2], [0, 0, 0], [3, 0, 0], [6, 4, 1], [0, 0, 0], [3, 2, -4], [2, 1, 0], [0, 0, 0], [9, -8, 7], [-4, 3, -7], [0, 0, 0], [0, 0, 0], [1, -8, 2], [0, 0, 0], [6, 2, -1], [-4, -1, 1], [0, 0, 0], [1, 7, -8], [0, 0, 0], [0, 0, 0], [-5, 8, -4]]}