# Stored data for newform 9747.2.a.bb, downloaded from the LMFDB on 09 September 2025. {"Nk2": 38988, "analytic_conductor": 77.83018685014198, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [19, -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": [9747, 1, [6860, 2890], [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]], [7, [19, 24, 9, 1]], [13, [-19, 24, -9, 1]]], "hecke_orbit": 28, "hecke_orbit_code": 121597189972567571, "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": "9747.2.a.bb", "level": 9747, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 19], "level_radical": 57, "minimal_twist": "513.2.y.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": "9747.2.a", "trace_display": [3, 0, -3, -9], "trace_hash": 2184292667247123443, "trace_moments": [{"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "2.849", "prec": 17}, {"__RealLiteral__": 0, "data": "0.545", "prec": 17}, {"__RealLiteral__": 0, "data": "21.313", "prec": 20}, {"__RealLiteral__": 0, "data": "6.671", "prec": 17}, {"__RealLiteral__": 0, "data": "228.885", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.026", "prec": 17}, "traces": [0, 3, 3, 0, 3, -3, 0, -9, 6, 0, 0, -9, 0, 9, -12, 0, 3, -3, 0, 0, -3, 0, -18, 3, 0, -6, 12, 0, -18, 6, 0, 0, 0, 0, 9, 12, 0, 27, 0, 0, -18, 21, 0, -18, -18, 0, 9, -6, 0, 12, -15, 0, 9, 6, 0, 0, -33, 0, -9, 3, 0, -9, 3, 0, 12, -3, 0, 9, 33, 0, 9, 3, 0, -18, 21, 0, 0, 27, 0, 0, -12, 0, 18, 0, 0, -9, -3, 0, -9, 33, 0, -24, 12, 0, 9, 0, 0, 3, 36, 0, -15, -15, 0, 0, 6, 0, 0, 9, 0, 21, 9, 0, -27, 9, 0, 0, -21, 0, 0, -15, 0, 12, -3, 0, 27, 12, 0, 30, 3, 0, 0, -3, 0, 0, 3, 0, 54, 3, 0, -36, 21, 0, 27, -36, 0, -9, -12, 0, 9, 33, 0, -15, 0, 0, 63, -21, 0, 0, 48, 0, 9, -12, 0, 27, 21, 0, 18, 15, 0, -6, -36, 0, 0, 3, 0, 18, -9, 0, 63, 9, 0, 21, -39, 0, 9, -21, 0, 9, 3, 0, 0, 0, 0, 0, 21, 0, 75, 54, 0, -18, -3, 0, -9, -6, 0, -27, 21, 0, 0, 0, 0, 9, -21, 0, 54, 30, 0, -24, 12, 0, 27, -21, 0, -27, -9, 0, -9, -36, 0, -36, -9, 0, -9, 51, 0, 27, 12, 0, -72, -18, 0, 27, 48, 0, 18, -27, 0, 0, 69, 0, 9, -33, 0, -18, 48, 0, -51, 42, 0, -69, -12, 0, 45, 15, 0, 9, 0, 0, 0, -15, 0, -21, 69, 0, -63, 36, 0, -48, -75, 0, 63, 42, 0, -12, 12, 0, -63, -66, 0, 48, 27, 0, -27, -36, 0, -18, 24, 0, 27, 12, 0, 51, -6, 0, 0, -6, 0, 12, 90, 0, -27, -18, 0, -66, 51, 0, 63, 15, 0, 0, -3, 0, -36, 0, 0, -27, -3, 0, 54, 24, 0, -9, 27, 0, -27, -12, 0, -36, 9, 0, -45, 18, 0, -12, -42, 0, 54, 6, 0, -9, 51, 0, -27, 72, 0, 36, 78, 0, 9, 15, 0, 0, 48, 0, -51, 39, 0, 27, 12, 0, 18, 3, 0, 48, -18, 0, -45, 15, 0, 18, 0, 0, -18, -24, 0, -18, -24, 0, 66, -33, 0, 9, 117, 0, 36, 33, 0, 0, 33, 0, -6, 48, 0, -21, -33, 0, 45, -81, 0, -24, 0, 0, 27, -21, 0, 9, 9, 0, 0, 54, 0, 21, 84, 0, -45, 6, 0, 6, 63, 0, -18, 60, 0, -9, -57, 0, 30, 0, 0, 27, 45, 0, 0, 3, 0, -18, -6, 0, -18, 27, 0, -54, 0, 0, 27, 21, 0, 45, -48, 0, -18, 42, 0, -27, -30, 0, 45, -9, 0, -24, -9, 0, 45, 27, 0, 0, -150, 0, -18, 12, 0, 87, 21, 0, 39, -30, 0, -15, 39, 0, -63, -12, 0, -54, 0, 0, 72, 6, 0, -54, 39, 0, -54, -42, 0, 45, -36, 0, 66, -3, 0, 69, -75, 0, 27, 15, 0, -18, -66, 0, -45, 0, 0, 72, 42, 0, -27, 96, 0, -60, 27, 0, 0, 57, 0, 27, 15, 0, 9, -45, 0, -27, -21, 0, 36, -48, 0, 18, -114, 0, 63, 0, 0, -15, -84, 0, -72, 84, 0, -42, 48, 0, -27, -54, 0, -36, -3, 0, -63, 9, 0, 45, -45, 0, -81, -15, 0, 51, 120, 0, 36, -9, 0, -27, -87, 0, -63, -39, 0, 0, -9, 0, -9, -15, 0, 36, 6, 0, 27, 69, 0, -9, 21, 0, -15, 33, 0, -9, 0, 0, -27, 3, 0, 15, 3, 0, 99, -6, 0, 27, -30, 0, -27, -114, 0, -15, -57, 0, 81, -75, 0, -45, -3, 0, 45, -30, 0, 21, 9, 0, 9, 57, 0, 9, -57, 0, 0, -18, 0, 9, -51, 0, -18, 9, 0, 54, 30, 0, -9, -57, 0, 75, 12, 0, 9, 0, 0, -9, -12, 0, 9, 36, 0, 18, -132, 0, -15, -9, 0, -54, -18, 0, -9, -27, 0, -18, -114, 0, -9, 33, 0, -93, 111, 0, 81, -6, 0, -9, 33, 0, 72, 42, 0, 0, -36, 0, 72, 69, 0, 45, -9, 0, 81, 3, 0, -9, 36, 0, 72, -39, 0, -6, 0, 0, 30, 6, 0, -9, -69, 0, 9, 30, 0, 24, -12, 0, 18, -18, 0, 18, -3, 0, 36, -24, 0, -18, 93, 0, -126, -36, 0, 27, -24, 0, -9, 33, 0, -27, -15, 0, 0, 9, 0, -81, -45, 0, -81, -6, 0, -18, -63, 0, -81, -48, 0, 18, 123, 0, 54, 0, 0, -72, 27, 0, 129, 21, 0, 18, 9, 0, -63, -36, 0, -42, 33, 0, 90, 81, 0, -18, -27, 0, 45, 27, 0, 9, -15, 0, -108, -99, 0, 12, 84, 0, -144, -42, 0, 0, -6, 0, -18, 12, 0, -57, -3, 0, -27, 15, 0, -9, -27, 0, 45, 144, 0, -72, 0, 0, 18, 84, 0, -33, 12, 0, 117, 45, 0, -27, -57, 0, -9, 21, 0, 126, -24, 0, 0, 75, 0, 54, -15, 0, 18, -27, 0, -9, 3, 0, -132, -81, 0, 24, 105, 0, 0, -66, 0, 27, -33, 0, 54, 90, 0, -9, 87, 0, -18, -39, 0, -108, -45, 0, -27, 0, 0, -36, 33, 0, 9, -30, 0, -90, -117, 0, 63, 24, 0, -6, 99, 0, 27, 54, 0, -27, 60, 0, -36, 12, 0, -45, -18, 0, -45, 48, 0, -54, -84, 0, -45, 24, 0, 0, 96, 0, -108, 72, 0, -63, -12, 0, -18, -75, 0, 18, 39, 0, 63, 24, 0, -33, 0, 0, -207, -15, 0, 9, -36, 0, 9, 42, 0, 21, 102, 0, 18, 33, 0, -27, -39, 0, -63, 21, 0, 105, -114, 0, 54, 90, 0, -144, -99, 0, -126, -6, 0, -45, -63, 0, 0, -3, 0, 72, 9, 0, -54, 12, 0, 9, -57, 0, 117, 90, 0, 45, -78, 0, 18, 0, 0, -24, 18, 0, -45, -24, 0, 18, 96, 0, 45, -9, 0, 9, 84, 0, -60, -33, 0, 33, 6, 0, -27, 96, 0, -72, -9, 0, -78, 93, 0, 54, -39, 0, 36, -78, 0, 0, 57, 0, -63, 66, 0, -45, -75, 0, 189, 33, 0, 54, -51, 0, 27, 15, 0, -36, 0, 0, 72, 0, 0, 72, -54, 0, 0, 78, 0, 9, -15, 0, -144, 9, 0, 9, 6, 0, -3, 66, 0, 24, -84, 0, -9, 18, 0, 63, 66, 0, -81, 3, 0, -30, 54, 0, 0, -27, 0, -45, -174, 0, -102, -18, 0, 9, -24, 0, 90, 69, 0, 12, -30, 0, -9, 0, 0, 36, -84, 0, -90, 36, 0, 30, 9, 0, -21, -36, 0, 27, -42, 0, -36, -21, 0, -66, 51, 0, 9, 12, 0, -48, -129, 0, -27, 72, 0, -90, 6, 0, 120, 114, 0, 0, -27, 0, -72, -51, 0, -108, -18, 0, -63, -60, 0, 36, -81, 0, -108, -24, 0, -108, 0, 0, -9, 48, 0, 42, -18, 0, -81, 66, 0, 45, 135, 0, 9, -93, 0, 36, 30, 0, 45, -27, 0, -12, -42, 0, 33, -30, 0, -63, -66, 0, -27, -66, 0, 45, -132, 0, 0, 99, 0, 0, -24, 0, 27, 99, 0, -33, -21, 0, -6, 15, 0, -96, 108, 0, 81, 0, 0, 45, 60, 0, -45, -42, 0, 18, -27, 0, -252, -69, 0, 54, 48, 0, -21, -54, 0, 36, 39, 0, -9, -30, 0, -18, -102, 0, 45, 9, 0, -45, 24, 0, -36, 21, 0, 0, 81, 0, 54, 21, 0, -84, 78, 0, 108, 6, 0, -36, 87, 0, -63, 33, 0, 45, 0, 0, -117, 84, 0, 81, -9, 0, -36, -33, 0, 0, 39, 0, 126, -3, 0, 81, -45, 0, -9, -15, 0, -9, 6, 0, -54, 9, 0, -54, 39, 0, -27, -21, 0, -66, 27, 0, 0, -18, 0, -15, -9, 0, 117, 27, 0, 15, 6, 0, 36, 60, 0, 63, -69, 0, -162, 0, 0, 57, -99, 0, 9, 3, 0, 0, -156, 0, -36, 99, 0, -36, -126, 0, 36, 36, 0, 156, 117, 0, -237, 87, 0, 0, 45, 0, 27, -135, 0, -63, -30, 0, 126, 30, 0, 0, 114, 0, 36, 63, 0, -3, 90, 0, 36, -108, 0, -45, 66, 0, 108, -3, 0, -54, 0, 0, 9, 3, 0, 36, 126, 0, 90, 39, 0, 36, 15, 0, -36, -63, 0, -54, 78, 0, 27, 129, 0, 81, 9, 0, 99, 0, 0, 99, 69, 0, -72, 48, 0, -90, -75, 0, 0, 24, 0, -60, -39, 0, 0, -45, 0, 9, -93, 0, -60, -60, 0, 0, 21, 0, -45, 0, 0, 27, 15, 0, -18, 0, 0, 84, 3, 0, -36, 12, 0, -60, 6, 0, -144, -27, 0, 33, 93, 0, -45, -3, 0, -45, 27, 0, 75, 45, 0, 0, -279, 0, -189, -57, 0, 0, 12, 0, 45, -93, 0, 72, -48, 0, 0, 96, 0, 27, -21, 0, -63, 183, 0, 147, 0, 0, -63, -33, 0, 27, -93, 0, -63, 189, 0, -30, -114, 0, -9, -12, 0, 45, -21, 0, -126, 3, 0, 45, -147, 0, -108, -24, 0, -27, -6, 0, 138, 39, 0, 9, 111, 0, 0, -99, 0, 102, -90, 0, 72, 39, 0, -93, 72, 0, -81, -12, 0, 81, -24, 0, 45, 0, 0, 144, -111, 0, 0, -24, 0, 36, -39, 0, 9, 36, 0, -168, 84, 0, 171, -36, 0, -99, -81, 0, -24, -39, 0, 96, -15, 0, 90, -9, 0, 66, 45, 0, 78, 141, 0, 0, -87, 0, -72, -105, 0, -18, -24, 0, 54, 3, 0, 27, -90, 0, 45, -204, 0, 27, 0, 0, -15, -6, 0, -108, -135, 0, -72, -93, 0, -72, -84, 0, 18, 177, 0, 90, -66, 0, 27, 69, 0, -153, -150, 0, -45, 18, 0, 18, 21, 0, 324, -33, 0, -18, 27, 0, 0, 72, 0, -9, -63, 0, 54, -12, 0, 30, -87, 0, 84, -30, 0, -78, 42, 0, 9, 0, 0, 45, -138, 0, -18, -15, 0, -54, -93, 0, 63, 42, 0, 72, 123, 0, -75, 81, 0, 0, 36, 0, 63, 33, 0, -81, 96, 0, 117, -27, 0, -45, 33, 0, 90, -72, 0, 0, -108, 0, 45, 75, 0, 36, -240, 0, -144, -42, 0, -27, 21, 0, 75, 48, 0, 3, 0, 0, -99, 24, 0, 15, -15, 0, -36, 123, 0, -57, 27, 0, 117, -138, 0, -126, -48, 0, 198, -51, 0, 63, 48, 0, -54, -69, 0, 27, -210, 0, -108, -6, 0, -54, -138, 0, 0, -99, 0, 45, -27, 0, 198, -36, 0, 45, -18, 0, -90, -105, 0, -27, -144, 0, -135, 0, 0, -150, 36, 0, -9, -6, 0, 30, -6, 0, 81, 48, 0, 27, 66, 0, 90, 36, 0, 9, -54, 0, 135, 66, 0, 141, -24, 0, -126, -60, 0, 54, -66, 0, -27, 3, 0, 0, -102, 0, 99, 120, 0, 21, -123, 0, -72, 51, 0, -27, 60, 0, 63, -36, 0, -9, 0, 0, 261, 15, 0, -21, -144, 0, 135, 21, 0, 117, -39, 0, -15, -93, 0, 45, 63, 0, 36, 69, 0, 0, 63, 0, -9, -99, 0, 93, 63, 0, 72, -3, 0, 45, -39, 0, 0, 18, 0, -54, -249, 0, -27, -189, 0, 18, 45, 0, -90, -93, 0, 0, -33, 0, 288, 0, 0, 27, 99, 0, 33, -99, 0, -63, 51, 0, 81, -9, 0, -72, -147, 0, -15, 114, 0, 162, -84, 0, 0, 33, 0, 63, 255, 0, -177, -36, 0, 66, 18, 0, 135, -36, 0, 0, -288, 0, -126, 96, 0, -27, -165, 0, 90, -69, 0, 0, 45, 0, -63, -48, 0, -81, 0, 0, -36, 102, 0, 54, 66, 0, -72, 57, 0, 81, -39, 0, -108, -135, 0, -57, 168, 0, -153, 39, 0, 90, 102, 0, 189, -36, 0, 9, 108, 0, -117, 99, 0, 0, 120, 0, 0, -66, 0, 18, 48, 0, 27, 87, 0, -144, -45, 0, 63, 6, 0, -45, -90, 0, 84, 0, 0, -36, 141, 0, 54, -69, 0, 21, 21, 0, 159, 51, 0, 63, -81, 0, -99, 126, 0, -108, 129, 0, 36, -48, 0, -27, -48, 0, 72, -54, 0, 54, 33, 0, 36, -66, 0, 0, -177, 0, 135, -27, 0, -3, 3, 0, 9, -12, 0, 72, 45, 0, -72, 78, 0, 30, 0, 0, 36, -39, 0, -9, -12, 0, 81, -51, 0, 9, 24, 0, -72, -102, 0, -39, 177, 0, -108, -69, 0, -54, 51, 0, -42, -33, 0, 66, 0, 0, 180, -9, 0, 108, -15, 0, 0, 90, 0, -117, 66, 0, -72, 15, 0, -36, 177, 0, -108, -39, 0, 63, -18, 0, -45, 0, 0, -27, 60, 0, -126, 39, 0, -117, -315, 0, 45, 42, 0, 63, -9, 0, -36, -21, 0, -153, 12, 0, 108, -12, 0, 27, 24, 0, -171, 54, 0, -36, -21, 0, 144, 3, 0, 0, 120, 0, 162, 9, 0, 162, -150, 0, -81, -84, 0, -96, -213, 0, 18, -123, 0, -9, 0, 0, 27, 3, 0, -51, -108, 0, -267, -42, 0, -90, -114, 0, -18, -24, 0, -9, 72, 0, -27, -111, 0, -9, 111, 0, 0, 21, 0, -45, -42, 0, -15, -87, 0, -3, 12, 0, 0, -54, 0, -18, -42, 0, -18, 3, 0, 69, -72, 0, 99, 9, 0, -123, -87, 0, 18, 0, 0, -87, -87, 0, -63, -42, 0, 9, -135, 0, 72, 162, 0, 66, -99, 0, 9, -33, 0, -108, 12, 0, -18, -105, 0, 189, 18, 0, 0, -111, 0, 93, -69, 0, -261, 6, 0, 0, -33, 0, 0, -45, 0, -72, -33, 0, -30, 60, 0, 57, 24, 0, 207, -42, 0, 66, 0, 0, 18, -144, 0, -9, -117, 0, -9, 0, 0, -207, -45, 0, 81, -48, 0, -54, 18, 0, 36, 66, 0, -3, -51, 0, -99, 39, 0, 48, -156, 0, 0, 21, 0, 108, -189, 0, 0, 99, 0, 138, -45, 0, -18, 48, 0, 9, 27, 0, 144, 21, 0, -72, -141, 0, 18, 0, 0, 54, -81, 0, 207, 30, 0, 165, -30, 0, -54, 63, 0, 3, 18, 0, 18, 54, 0, 27, 24, 0, -99, -174, 0, 75, -48, 0, -108, -3, 0, -45, 168, 0, 9, 33, 0, 0, -135, 0, -42, 21, 0, 36, -75, 0, -279, -3, 0, 3, 24, 0, -216, -51, 0, 108, 0, 0, 144, -21, 0, -57, -9, 0, 18, 3, 0, 24, -6, 0, 18, -84, 0, -21, -108, 0, -102, 18, 0, -63, 6, 0, -54, 0, 0, 54, -132, 0, 108, 45, 0, 87, 39, 0, 0, -270, 0, -24, 66, 0, 0, -27, 0, 87, -30, 0, -180, 9, 0, -81, 0, 0, -27, 0, 0, 27, -393, 0, 72, 147, 0, 54, 228, 0, 39, -48, 0, 36, -33, 0, -90, 12, 0, 33, 45, 0, 90, -42, 0, 0, 195, 0, 36, 144, 0, 81, 21, 0, -144, -6, 0, 0, 144, 0, 27, -204, 0, -117, -129, 0, -63, -39, 0, -81, -84, 0, 45, -3, 0, -45, 0, 0, 201, 3, 0, -117, 126, 0, -27, -129, 0, 72, -39, 0, 45, 171, 0, -90, 75, 0, 162, -21, 0, -75, 36, 0, 117, 9, 0, -36, -75, 0, 216, -96, 0, -9, 39, 0, 0, -18, 0, -60, -189, 0, 9, 0, 0, -111, 24, 0, -72, -108, 0, -9, 15, 0, -18, 0, 0, 27, 159, 0, -18, -24, 0, -126, 144, 0, -36, -66, 0, 180, 261, 0, -90, -54, 0, 51, 75, 0, -18, 57, 0, 36, 90, 0, 126, 63, 0, 9, -21, 0, 18, -6, 0, 0, 111, 0, 57, 60, 0, -75, -156, 0, -18, -72, 0, -6, -120, 0, 54, -156, 0, 27, 0, 0, 18, 57, 0, -36, 6, 0, -27, 120, 0, 90, 60, 0, 108, -99, 0, -147, 57, 0, -54, 105, 0, 33, -63, 0, 72, 0, 0, -9, 0, 0, -135, 84, 0, 117, -66, 0, 0, 36, 0, -132, 186, 0, -78, 102, 0, 27, 63, 0, -18, 177, 0, 57, 18, 0, -315, 0, 0, -153, -81, 0, 36, 42, 0, -6, 72, 0, -288, 135, 0, 36, 36, 0, 126, -66, 0, -72, 72, 0, 180, -12, 0, 69, -291, 0, 171, 66, 0, -18, -63, 0, -81, -66, 0, 0, -57, 0, -108, 15, 0, 117, 30, 0, 42, -51, 0, 57, 174, 0, 54, -87, 0, -54, 0, 0, 36, 3, 0, 24, 111, 0, 162, 48, 0, -99, -195, 0, 243, 96, 0, -45, -51, 0, -234, 39, 0, -153, -87, 0, 81, 18, 0, -24, 204, 0, 0, -84, 0, -69, 126, 0, 0, -75, 0, 0, 144, 0, 54, -18, 0, -30, 54, 0, 306, 27, 0, -117, 186, 0, 9, 0, 0, 36, 39, 0, 90, -168, 0, 45, 36, 0, -144, 135, 0, 9, -12, 0, 90, 189, 0, 153, 75, 0, 63, 30, 0, -39, -3, 0, 72, -126, 0, 81, 90, 0, 18, -21, 0, 0, 63, 0, -36, -90, 0, 9, -21, 0, 189, 69, 0, -69, -126, 0, -114, -60, 0, -105, 0, 0, -72, 81, 0, -9, -24, 0, -33, 3, 0, -39, 33, 0, -54, -48, 0, -9, -120, 0, -189, -33, 0, -18, -45, 0, -54, -63, 0, -54, -15, 0, 144, 48, 0, -30, -132, 0, 0, 27, 0, -18, 45, 0, 78, -81, 0, 18, 75, 0, -27, 195, 0, 225, 165, 0, -27, 0, 0, -135, -27, 0, -9, -117, 0, -153, -327, 0, 72, -54, 0, -27, -84, 0, 144, 117, 0, 9, -93, 0, 144, 123, 0, 99, -159, 0, -99, 66, 0, -132, -66, 0, 0, 81, 0, 0, -3, 0, 225, -48, 0, 96, -18, 0, -315, -147, 0, -72, -279, 0, -189, 231, 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, 0, -1], [0, 0, 0], [-3, 1, -1], [2, -2, 3], [0, 0, 0], [0, 2, -1], [-3, 1, 1], [0, 0, 0], [3, 0, -1], [-4, 5, -2], [0, 0, 0], [1, -3, 3], [-1, -4, 4], [0, 0, 0], [0, 0, 0], [-1, 3, -1], [0, 0, 0], [-6, 3, 0], [1, -1, 0], [0, 0, 0], [-2, 1, 1], [4, -2, -1], [0, 0, 0], [-6, 9, -5], [2, 3, -1], [0, 0, 0], [0, -3, 5], [0, -3, 0], [0, 0, 0], [3, -7, 8], [4, -1, 3], [0, 0, 0], [9, 2, -2], [0, 0, 0], [0, 0, 0], [-6, 1, -2], [7, 0, 1], [0, 0, 0], [-6, -2, -1], [-6, 7, -5], [0, 0, 0], [3, -2, 1], [-2, -1, -3], [0, 0, 0], [4, -7, 6], [-5, 2, 0], [0, 0, 0], [3, -5, 3], [2, 3, -4], [0, 0, 0], [0, -3, 3], [-11, 10, -10], [0, 0, 0], [-3, 2, -4], [1, -1, 3], [0, 0, 0], [-3, -3, 4], [1, -8, 8], [0, 0, 0], [4, 3, -3], [-1, 1, -3], [0, 0, 0], [3, 1, 0], [11, -10, 7], [0, 0, 0], [3, -8, 4], [1, -1, -6], [0, 0, 0], [-6, 1, -4], [7, -5, -4], [0, 0, 0], [0, 0, 0], [9, -7, 2], [0, 0, 0], [0, -7, -2], [-4, 3, -1], [0, 0, 0], [6, -8, 1], [0, -3, 0], [0, 0, 0], [-3, 4, 1], [-1, 5, 1], [0, 0, 0], [-3, 12, -12], [11, -5, 0], [0, 0, 0], [-8, 3, -1], [4, -4, 3], [0, 0, 0], [3, 4, -2], [0, 0, 0], [0, 0, 0], [1, -7, 8], [12, -17, 13], [0, 0, 0], [-5, 5, -4]]}