# Stored data for newform 8910.2.a.y, downloaded from the LMFDB on 12 September 2025. {"Nk2": 35640, "analytic_conductor": 71.14670820096082, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 1], [11, 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": [8910, 1, [1541, 5347, 6481], [1, 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": [[7, [3, 9, 6, 1]], [13, [-57, -18, 3, 1]], [17, [53, -24, -3, 1]], [23, [51, -27, -6, 1]], [29, [17, 54, -15, 1]]], "hecke_orbit": 25, "hecke_orbit_code": 108086391090455246, "hecke_ring_generator_nbound": 7, "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": "8910.2.a.y", "level": 8910, "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, 5, 11], "level_radical": 330, "minimal_twist": "990.2.i.f", "nf_label": "3.3.81.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}-q^{5}+(-2-\\beta _{1})q^{7}-q^{8}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8910.2.a", "trace_display": [-3, 0, -3, -6], "trace_hash": 1972198848802794474, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.451", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "278.906", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, "traces": [0, 3, -3, 0, 3, -3, 0, -6, -3, 0, 3, -3, 0, -3, 6, 0, 3, 3, 0, -3, -3, 0, 3, 6, 0, 3, 3, 0, -6, 15, 0, -3, -3, 0, -3, 6, 0, -12, 3, 0, 3, 3, 0, 3, -3, 0, -6, 0, 0, -3, -3, 0, -3, 3, 0, 3, 6, 0, -15, 18, 0, 12, 3, 0, 3, 3, 0, -18, 3, 0, -6, 18, 0, 9, 12, 0, -3, 6, 0, -15, -3, 0, -3, 3, 0, -3, -3, 0, 3, 0, 0, 9, 6, 0, 0, 3, 0, -21, 3, 0, 3, 24, 0, 27, 3, 0, -3, 9, 0, -27, -3, 0, -6, -15, 0, -6, 15, 0, -18, 12, 0, 3, -12, 0, -3, -3, 0, 15, -3, 0, -3, 33, 0, -3, 18, 0, -3, -3, 0, -3, 6, 0, -18, 3, 0, -15, -9, 0, -12, -15, 0, -3, 3, 0, -6, 3, 0, -6, 15, 0, 3, -18, 0, -21, 3, 0, -3, 12, 0, 6, 3, 0, 3, -24, 0, -6, -3, 0, 0, 6, 0, -18, -9, 0, -6, 12, 0, -3, 0, 0, -3, -21, 0, -9, 21, 0, -3, -9, 0, -9, -3, 0, -24, -33, 0, -3, -27, 0, -3, 3, 0, 9, 3, 0, -9, -3, 0, 0, 27, 0, 3, 6, 0, -39, 6, 0, 15, -15, 0, -33, 6, 0, -15, 3, 0, 0, 18, 0, -12, 21, 0, -45, -3, 0, 12, 3, 0, -42, 3, 0, 3, 15, 0, -6, -15, 0, 3, -51, 0, 27, 3, 0, -33, -3, 0, -3, 3, 0, -18, 24, 0, -24, 3, 0, 3, -3, 0, 33, 3, 0, -6, 18, 0, -30, 18, 0, -3, -33, 0, 6, 15, 0, 9, 21, 0, -18, 12, 0, 15, 45, 0, -15, 3, 0, -3, -12, 0, -78, 6, 0, -3, -36, 0, 9, 6, 0, -15, -33, 0, -15, -3, 0, 18, -30, 0, -3, 21, 0, -3, 15, 0, 9, 3, 0, -12, 18, 0, 21, -6, 0, -3, 3, 0, 21, -3, 0, 24, 12, 0, -72, 6, 0, 3, -42, 0, -18, 0, 0, -6, 54, 0, 0, 18, 0, 9, -9, 0, -6, 6, 0, -12, -15, 0, -6, 3, 0, 0, -57, 0, 12, 3, 0, 21, -27, 0, -6, 9, 0, -21, -36, 0, -12, 3, 0, 9, 15, 0, -24, 9, 0, 3, -27, 0, 0, 24, 0, 33, 12, 0, -9, 3, 0, 27, -33, 0, -3, 3, 0, -3, -45, 0, 0, -9, 0, -3, 3, 0, -15, 9, 0, 3, 30, 0, 15, 0, 0, -27, -51, 0, 12, -3, 0, -6, -12, 0, 0, 39, 0, -6, -18, 0, -3, -15, 0, 15, -9, 0, -96, 33, 0, -6, -3, 0, 6, 15, 0, -3, -78, 0, 51, 0, 0, -18, -3, 0, -3, 12, 0, -21, 18, 0, -27, 45, 0, 3, 21, 0, -21, -12, 0, -3, 57, 0, 6, 42, 0, -3, -48, 0, 33, -3, 0, -15, -9, 0, -24, 6, 0, 15, 33, 0, -48, -3, 0, 51, -27, 0, 0, -27, 0, -3, -63, 0, 6, 33, 0, 3, -21, 0, 21, 3, 0, -3, -30, 0, -9, 18, 0, -24, 3, 0, 9, 24, 0, -3, 27, 0, 0, -3, 0, 3, 30, 0, 30, -33, 0, -3, 48, 0, -21, 6, 0, -18, 39, 0, 15, 30, 0, -18, -54, 0, -60, 3, 0, 33, 6, 0, 0, -6, 0, -15, -45, 0, -3, -9, 0, -21, -3, 0, 12, 18, 0, -12, -39, 0, -12, -15, 0, -45, 87, 0, 81, 15, 0, -3, -3, 0, 24, 3, 0, 12, -6, 0, -12, 78, 0, -6, -24, 0, 9, 3, 0, 36, 54, 0, 3, -9, 0, -6, -3, 0, -27, 15, 0, 33, -15, 0, -24, 15, 0, 3, -60, 0, 24, -18, 0, 30, 18, 0, -18, 3, 0, -21, -42, 0, -33, 3, 0, -15, 57, 0, 45, -9, 0, -3, 3, 0, -21, 12, 0, -18, -12, 0, 48, -21, 0, 6, -63, 0, 27, 3, 0, -3, -36, 0, 3, -21, 0, 3, -48, 0, -27, -24, 0, -12, 3, 0, -78, 72, 0, -6, -54, 0, 48, -3, 0, 42, -78, 0, 12, 18, 0, 0, 0, 0, -3, 6, 0, -54, 12, 0, -42, 0, 0, -18, 15, 0, -57, -9, 0, 9, -24, 0, 18, 6, 0, -6, 18, 0, -27, 12, 0, 15, -48, 0, 15, 6, 0, -3, 30, 0, -63, 0, 0, 57, 3, 0, 15, -12, 0, -3, 9, 0, 69, -21, 0, 27, 51, 0, -12, 6, 0, -9, -12, 0, -3, 21, 0, 36, 51, 0, -18, 12, 0, -3, 6, 0, 21, -9, 0, -15, 57, 0, 6, 24, 0, -9, -15, 0, 45, -3, 0, 27, -9, 0, 18, 0, 0, -24, -15, 0, -9, -33, 0, -12, 21, 0, 24, 9, 0, -3, 9, 0, -15, -27, 0, 33, -24, 0, 66, 3, 0, -3, -84, 0, -12, 3, 0, 45, -102, 0, 30, 0, 0, 9, -6, 0, -6, 3, 0, -3, -81, 0, 72, 15, 0, -9, -39, 0, -6, -3, 0, -30, -60, 0, 24, -15, 0, 0, 15, 0, -42, 27, 0, 51, 6, 0, -51, -12, 0, 3, -15, 0, -39, 6, 0, 12, 33, 0, -48, 0, 0, -39, -9, 0, -6, 6, 0, 18, -12, 0, -24, 3, 0, 15, 18, 0, -27, -15, 0, 9, -21, 0, -3, 96, 0, -33, -51, 0, -51, 6, 0, 3, -78, 0, -12, -6, 0, -15, -18, 0, 57, 3, 0, 78, 3, 0, 42, -51, 0, 0, 12, 0, 15, 18, 0, 3, -69, 0, 30, 3, 0, -12, -18, 0, 21, 21, 0, -18, -18, 0, -84, 27, 0, -45, 9, 0, -129, -3, 0, -21, -93, 0, 48, 21, 0, 12, 9, 0, 0, 3, 0, -57, -129, 0, 9, -6, 0, -42, -3, 0, 45, 3, 0, 48, 9, 0, -72, -33, 0, 3, -9, 0, 27, 15, 0, 9, 51, 0, -66, 24, 0, -6, -15, 0, 33, -15, 0, -33, 66, 0, -21, 48, 0, 3, 3, 0, -12, -51, 0, 27, -42, 0, -57, 0, 0, 27, 39, 0, 75, 3, 0, 63, 18, 0, -3, -6, 0, -33, -24, 0, -15, -3, 0, 21, -9, 0, -12, -21, 0, -3, -18, 0, 0, 3, 0, 30, 21, 0, -3, 9, 0, -18, -21, 0, 3, 24, 0, -3, -9, 0, -33, -9, 0, -24, 0, 0, 9, 3, 0, -27, 18, 0, 18, 0, 0, 3, -12, 0, 81, -3, 0, -30, -33, 0, -6, -30, 0, 33, 51, 0, -24, 3, 0, -48, 39, 0, -84, 21, 0, -6, -90, 0, 33, 18, 0, -39, 3, 0, 0, -15, 0, -30, -27, 0, 15, 18, 0, 54, 27, 0, 39, 60, 0, -3, 33, 0, 9, -33, 0, -6, 21, 0, -3, 0, 0, 6, 0, 0, -39, 15, 0, 45, -99, 0, -3, 3, 0, 9, -27, 0, 6, 21, 0, 3, 0, 0, -9, -12, 0, -18, -69, 0, -12, 12, 0, 39, 45, 0, 42, 12, 0, 15, -72, 0, -21, 45, 0, -87, 27, 0, -54, -81, 0, -15, 45, 0, -18, 3, 0, 3, 21, 0, 3, -24, 0, -3, 0, 0, -39, -12, 0, 6, -54, 0, -3, 12, 0, -78, -57, 0, 39, 6, 0, 24, 42, 0, -39, -9, 0, -3, -81, 0, 15, -36, 0, -54, 33, 0, 54, -3, 0, 9, -9, 0, -15, 6, 0, 3, 45, 0, 54, 27, 0, -15, 6, 0, -30, -33, 0, 15, 24, 0, 63, 24, 0, -15, -21, 0, 27, -3, 0, 60, 69, 0, 51, -24, 0, 18, -33, 0, 18, -30, 0, -18, -27, 0, -81, 18, 0, -3, 18, 0, 72, 21, 0, 42, 90, 0, -12, 33, 0, -3, -66, 0, 3, 15, 0, -57, 138, 0, 33, -45, 0, 9, 3, 0, -21, 3, 0, -3, -3, 0, 6, 21, 0, -12, 81, 0, -21, 18, 0, 12, -15, 0, -24, -48, 0, 21, 54, 0, -42, -6, 0, 63, 24, 0, 123, -27, 0, -3, -69, 0, 6, 3, 0, 36, 21, 0, -21, -3, 0, 21, 45, 0, 3, -3, 0, 48, 0, 0, -84, 27, 0, 24, -33, 0, -18, 12, 0, -3, 15, 0, 60, 78, 0, -72, -15, 0, 18, 6, 0, 54, 33, 0, -18, -48, 0, 3, -63, 0, -114, -42, 0, 78, 30, 0, 102, -12, 0, -18, 12, 0, 15, 0, 0, 0, 39, 0, -69, 3, 0, -6, -39, 0, 33, 54, 0, -12, 87, 0, -33, 42, 0, 0, -6, 0, -3, 18, 0, -15, 6, 0, 123, 57, 0, 9, -15, 0, 78, -9, 0, 24, 3, 0, -21, -18, 0, -6, 150, 0, -6, 6, 0, -18, 18, 0, 39, 27, 0, -12, -90, 0, 6, -15, 0, 48, -15, 0, 12, -15, 0, -6, -90, 0, -45, 3, 0, -30, -60, 0, 42, 63, 0, 0, 15, 0, 3, -57, 0, -3, -51, 0, 162, -15, 0, 12, -12, 0, 30, 3, 0, -9, -30, 0, 12, -69, 0, 21, 3, 0, -45, -27, 0, -51, 78, 0, 60, 12, 0, -6, -141, 0, -3, 9, 0, 12, -72, 0, -117, 3, 0, -21, -87, 0, 36, -36, 0, -51, 57, 0, 99, 18, 0, -12, -9, 0, -24, 3, 0, -6, -33, 0, -3, -21, 0, 9, 42, 0, 39, 15, 0, -57, 48, 0, 33, -6, 0, -24, -57, 0, -3, 9, 0, 15, 15, 0, -9, -45, 0, 3, 153, 0, 66, -27, 0, 9, -24, 0, 15, -18, 0, 0, -75, 0, 30, 24, 0, 15, 72, 0, 69, 9, 0, 33, 3, 0, -99, 12, 0, -21, 18, 0, -24, -24, 0, -9, 9, 0, 15, 3, 0, -9, 6, 0, -15, 15, 0, 27, -66, 0, 30, -33, 0, 24, -9, 0, 9, -66, 0, -3, 3, 0, 24, 3, 0, 84, 75, 0, -3, 12, 0, -3, -75, 0, -18, -45, 0, 102, 120, 0, 6, -30, 0, 0, -21, 0, 135, -9, 0, 6, -54, 0, 12, 6, 0, -3, 12, 0, 60, 3, 0, 81, 15, 0, -3, -72, 0, -15, -42, 0, 21, 9, 0, 39, -21, 0, -66, 6, 0, 3, -39, 0, 111, 30, 0, 60, 6, 0, 99, -24, 0, 15, -63, 0, -12, 0, 0, -15, 21, 0, 129, 42, 0, -27, 72, 0, 72, -51, 0, -6, 63, 0, -81, 51, 0, 12, -60, 0, 66, -3, 0, 15, 48, 0, 42, 39, 0, -6, 42, 0, 18, -12, 0, -33, 18, 0, -36, 48, 0, 0, -117, 0, 81, 39, 0, 9, -60, 0, 123, 6, 0, -6, 21, 0, -54, -18, 0, 12, 87, 0, 48, 24, 0, -3, 0, 0, -3, -15, 0, -18, -105, 0, 12, 27, 0, 15, -66, 0, 153, -9, 0, 21, 12, 0, 9, 3, 0, -96, -21, 0, -141, 33, 0, 51, 6, 0, -12, 51, 0, -6, -45, 0, 3, -3, 0, 78, 105, 0, -108, 12, 0, 6, 18, 0, 15, 15, 0, 18, -6, 0, 81, -57, 0, -3, 6, 0, 75, -78, 0, -3, 6, 0, -42, -42, 0, 51, -3, 0, 108, 0, 0, -12, -75, 0, 57, -15, 0, -18, -42, 0, -21, -3, 0, 69, -12, 0, 57, -30, 0, -3, 90, 0, 24, 12, 0, 18, 69, 0, 63, -21, 0, -21, 9, 0, 27, 18, 0, 18, 48, 0, 66, 84, 0, -27, 6, 0, -63, 45, 0, -9, -9, 0, 51, 129, 0, 3, 36, 0, -117, 21, 0, 93, -30, 0, 36, -48, 0, -21, 42, 0, 129, -12, 0, -9, 12, 0, -45, 0, 0, -3, 24, 0, 75, 57, 0, 129, 45, 0, -6, -9, 0, 6, 6, 0, -15, 42, 0, 3, 27, 0, 63, -45, 0, -3, 24, 0, 114, -48, 0, -9, 18, 0, 81, 72, 0, 33, 66, 0, -33, -3, 0, 9, -3, 0, 27, -27, 0, -15, 123, 0, 78, -9, 0, -51, 0, 0, 3, 66, 0, -24, -18, 0, -3, 6, 0, 15, -129, 0, 111, -33, 0, 15, -81, 0, -12, 33, 0, -66, -12, 0, -27, 21, 0, -48, 9, 0, -90, -3, 0, -3, -54, 0, 102, 12, 0, 51, 3, 0, 150, -27, 0, 42, 60, 0, 33, 57, 0, 0, 126, 0, -63, -27, 0, -39, 3, 0, 3, -75, 0, -3, 0, 0, 63, -63, 0, -18, -18, 0, -93, 3, 0, 6, -45, 0, 45, 33, 0, 24, 81, 0, 21, 15, 0, 3, 0, 0, 42, -21, 0, 9, 0, 0, 165, 12, 0, 21, 6, 0, 168, 3, 0, 18, 9, 0, -3, 0, 0, -3, 177, 0, -12, -30, 0, -21, 15, 0, -84, 3, 0, -9, -39, 0, 6, 18, 0, 21, -147, 0, 138, -3, 0, -24, -45, 0, -30, 3, 0, 9, -39, 0, 15, 33, 0, 9, -15, 0, 9, 24, 0, 0, 27, 0, 57, -9, 0, -3, 81, 0, 39, 27, 0, -18, -138, 0, 51, -18, 0, 0, 9, 0, -9, -3, 0, 12, -12, 0, 60, -81, 0, 3, -6, 0, -15, 30, 0, 33, 63, 0, -99, 6, 0, 30, 18, 0, 12, -33, 0, -51, 57, 0, -15, 24, 0, -3, 0, 0, 78, 48, 0, -39, 27, 0, 33, 84, 0, -21, 51, 0, -51, 6, 0, 90, -18, 0, 18, -33, 0, -18, -57, 0, 132, 39, 0, -3, 3, 0, -57, 0, 0, 15, 87, 0, 21, 30, 0, 27, 117, 0, 12, -15, 0, -18, -60, 0, 9, -54, 0, -27, 30, 0, 30, -39, 0, -60, 96, 0, 66, 3, 0, -33, -48, 0, -63, -9, 0, 33, -120, 0, -3, 6, 0, -21, -63, 0, 3, 3, 0, 0, 201, 0, -3, -6, 0, 0, -6, 0, 60, 39, 0, -15, -9, 0, 42, -45, 0, 99, 144, 0, -75, 3, 0, -3, 9, 0, 78, -9, 0, 27, 150, 0, 9, -6, 0, -21, -51, 0, -99, -3, 0, 0, -36, 0, -96, 9, 0, 12, -75, 0, -24, 18, 0, 69, 123, 0, 3, 12, 0, -12, 42, 0, -6, -39, 0, -45, 3, 0, -75, -42, 0, -12, 81, 0, 120, -15, 0, 72, 0, 0, 141, 21, 0, -45, 48, 0, -18, 87, 0, -27, 54, 0, 3, 54, 0, 81, 27, 0, 21, 15, 0, -45, 27, 0, -42, 18, 0, -3, -24, 0, -18, -3, 0, -21, -6, 0, -21, -3, 0, 24, 45, 0, -6, 3, 0, 0, 21, 0, 33, 39, 0, 12, -27, 0, 171, -6, 0, 54, 108, 0, 15, 3, 0, -12, 39, 0, -57, 78, 0, 57, -54, 0, -30, -39, 0, -6, -6, 0, -18, -24, 0, -42, -3, 0, -69, 39, 0, 9, 66, 0, 147, 3, 0, 81, -108, 0, 48, -15, 0, 36, -96, 0, -9, 54, 0, -33, -33, 0, 15, -54, 0, 3, -33, 0, -48, -9, 0, 9, 21, 0, -48, 15, 0, -6, -165, 0, 9, -3, 0, -45, 33, 0, 21, -54, 0, -27, 24, 0, -9, 15, 0, -6, 99, 0, -51, 30, 0, 33, -9, 0, -6, -15, 0, -24, 39, 0, -33, -63, 0, -24, 6, 0, -39, 15, 0, 21, 48, 0, -21, -27, 0, 3, 108, 0, -3, -60, 0, -69, -57, 0, 21, -51, 0, 24, 36, 0, 27, -18, 0, 33, -12, 0, 0, -18, 0, 30, 0, 0, 3, 18, 0, 27, 0, 0, 54, 81, 0, -18, 51, 0, 105, 3, 0, -18, 147, 0, 63, -72, 0, -21, 45, 0, -81, -42, 0, -90, -6, 0, -123, 12, 0, -33, -93, 0, -6, 3, 0, 66, -24, 0, -21, -3, 0, -15, -114, 0, 21, 57, 0, -138, 126, 0, -33, -33, 0, 45, -21, 0, 69, -9, 0, -3, 45, 0, 36, 21, 0, -3, 240, 0, -117, 3, 0, 3, 120, 0, 30, -6, 0, -21, 201, 0, 0, 12, 0, -81, 9, 0, -36, 21, 0, -18, 42, 0, -93, -12, 0, 15, 9, 0, -114, 24, 0, 48, 51, 0, -3, -21, 0, -54, -63, 0, -105, 42, 0, 6, -9, 0, 60, -63, 0, -24, 48, 0, 6, -123, 0, 27, 42, 0, 78, 3, 0, 69, 171, 0, -27, -6, 0, -3, -33, 0, -201, -36, 0, -21, 0, 0, 9, 21, 0, 3, -132, 0, 114, -21, 0, -45, -63, 0, -114, -3, 0, 3, -210, 0, -30, -48, 0, 0, -54, 0, -15, 84, 0, -27, -30, 0, -138, -24, 0, 33, -30, 0, -15, 18, 0, -12, 12, 0, 39, 3, 0, -15, 6, 0, -48, -60, 0, -78, 81, 0, 30, 72, 0, 15, 21, 0, -153, -18, 0, -6, 9, 0, -81, -54, 0, -33, 3, 0, -102, 18, 0, 48, -138, 0, -39, -3, 0, 63, 132, 0, 18, 114, 0, 42, -15, 0, 51, -78, 0, -30, 6, 0, -48, -102, 0, 12, -45, 0, 3, 18, 0, -12, -105, 0, 54, -15, 0, 0, -27, 0, -129, 0, 0, -39, 60, 0, 54, 69, 0, -3, -63, 0, -15, 6, 0, 39, 18, 0, -51, -33, 0, -54, 6, 0, -6, 12, 0, -87, 21, 0, -18, 33, 0, -42, 0, 0, -27, 0, 0, 6, -54, 0, 3, 3, 0, -18, 138, 0, -18, 15, 0, -6, -69, 0, 45, -123, 0, -57, 60, 0, 90, -9, 0, 15, 3, 0, 159, -78, 0, 9, 120, 0, 87, -24, 0, -3, 54, 0, 162, 21, 0, 18, 63, 0, 3, 6, 0, -150, 156, 0, -105, 6, 0, -6, -12, 0, -102, 18, 0, -18, -150, 0, -159, -39, 0, -27, -75, 0, -24, 12, 0, 90, 129, 0, 39, -6, 0, 15, 132, 0, -171, -48, 0, 15, 12, 0, 168, -12, 0, 15, 24, 0, -30, 6, 0, 90, 129, 0, -57, 45, 0, -3, 126, 0, -87, 30, 0, 60, 108, 0, -198, -42, 0, -63, -81, 0, 36, 0, 0, -15, -42, 0, 105, -3, 0, 57, -129, 0, -168, 3, 0, 51, 168, 0, 3, -162, 0, 15, -99, 0, -66, -12, 0, 12, -24, 0, 66, -30, 0, -3, 21, 0, 15, 9, 0, 30, -33, 0, -54, -12, 0, 69, 54, 0, 6, -21, 0, -3, 72, 0, -57, 45, 0, 27, 12, 0, 138, 51, 0, -78, -45, 0, -75, -60, 0, -12, -216, 0, 3, 6, 0, 141, -99, 0, 24, 3, 0, -9, -18, 0, -18, -12, 0, 72, -9, 0, -123, 117, 0, -3, -30, 0, 21, 21, 0, 87, -267, 0, 45, -36, 0, 36, 30, 0, -54, 51, 0, -57, 165, 0, -159, -99, 0, -18, -3, 0, -54, 12, 0, 9, 6, 0, 27, 24, 0, -3, 6, 0, 36, 6, 0, 33, 108, 0, 3, 3, 0, 21, 60, 0, -126, -9, 0, -42, 27, 0, 33, -39, 0, -15, -210, 0, -78, 57, 0, -48, -132, 0, -45, -33, 0, 6, -48, 0, 15, 24, 0, 57, -6, 0, -15, 3, 0, -9, 24, 0, 24, -15, 0, -15, -51, 0, -39, 9, 0, 45, -84, 0, 180, -3, 0, -153, 120, 0, 60, -66, 0, 27, 30, 0, -33, -9, 0, 24, -24, 0, 132, -15, 0, 18, 219, 0, -21, 0, 0, 75, 90, 0, -102, -30, 0, -24, -15, 0, -18, -15, 0, -72, -6, 0, -78, -69, 0, -9, 18, 0, 96, -33, 0, -3, 183, 0, -54, 99, 0, -12, -174, 0, 111, 21, 0, -18, 105, 0, 42, 24, 0, 24, 120, 0, -186, 9, 0, -9, 33, 0, -210, -15, 0, -3, -189, 0, -27, 9, 0, -6, 132, 0, -45, 15, 0, -15, 54, 0, -57, -27, 0, 66, -117, 0, 33, -30, 0, 33, -45, 0, -51, -24, 0, 9, 15, 0, -9, -9, 0, 66, -57, 0, -24, 3, 0, -3, 9, 0, -3, -24, 0, -3, 33, 0, -21, -84, 0, -75, 21, 0, -12, 3, 0, -12, 3, 0, 150, 3, 0, 75, -171, 0, -63, 18, 0, 45, -9, 0, 12, -102, 0, -120, -9, 0, 30, -6, 0, 30, -48, 0, 18, 0, 0, 21, -27, 0, -108, -135, 0, 9, 78, 0, 12, -6, 0, 54, 117, 0, 63, -12, 0, -6, 153, 0, -45, 3, 0, -12, -27, 0, -6, -60, 0, -3, -159, 0, 174, -81, 0, -15, -51, 0, -9, 3, 0, 72, -156, 0, 36, 15, 0, 42, 126, 0, 36, -21, 0, -9, -3, 0, 18, -39, 0, 21, -93, 0, -30, 66, 0, -6, -144, 0, 198, -3, 0, 39, -9, 0, 48, -111, 0, -30, -48, 0, 120, -60, 0, -6, 27, 0, 27, -99, 0, 24, -102, 0, -252, -15, 0, 63, 66, 0, -120, 12, 0, 0, 120, 0, -3, 15, 0, -21, 54, 0, 45, -129, 0, -42, 78, 0, 33, 27, 0, -72, 60, 0, -84, -72, 0, 51, -132, 0, -117, 6, 0, -63, -12, 0, 54, 81, 0, -51, 15, 0, -99, -12, 0, 60, -48, 0, 219, -66, 0, 3, 81, 0, 42, -15, 0, -48, 72, 0, 75, -42, 0, -39, 18, 0, 78, 6, 0, -42, 6, 0, -276, -18, 0, 12, -12, 0, 39, 33, 0, -18, 27, 0, 30, 36, 0, -48, 225, 0, 105, 0, 0, 117, -123, 0, 0, -81, 0, -39, 57, 0, -39, -9, 0, 60, 3, 0, 108, -123, 0, -6, 135, 0, 87, 6, 0, -21, 180, 0, 36, 54, 0, 18, -177, 0, -12, -12, 0, -87, 99, 0, 90, -48, 0, -24, 42, 0, -69, 3, 0, 0, -171, 0, -60, 3, 0, 15, 33, 0, -15, 18, 0, 105, -27, 0, -15, -12, 0, -27, 111, 0, 186, -15, 0, 66, 57, 0, -30, -153, 0, 9, -9, 0, 126, -21, 0, -12, 150, 0, -234, -9, 0, -3, 36, 0, 24, 96, 0, 21, -45, 0, 51, 141, 0, -33, -18, 0, 126, -51, 0, -6, 42, 0, -24, 12, 0, -51, -36, 0, -117, 6, 0, 45, 30, 0, -18, -3, 0, 3, 27, 0, -138, -78, 0, -105, 27, 0, -3, 108, 0, -12, 33, 0, 3, -6, 0, -18, -21, 0, -42, -15, 0, -15, 9, 0, 48, -18, 0, 6, 72, 0, -117, -81, 0, 57, -15, 0, -75, 3, 0, -6, 153, 0, 27, -75, 0, 78, -84, 0, 6, 3, 0, -6, -72, 0, -30, 42, 0, 42, 159, 0, -3, -51, 0, 3, 63, 0, -123, -108, 0, 0, -24, 0, 90, 12, 0, 75, -30, 0, -18, -57, 0, 15, -21, 0, -3, 18, 0, 42, 72, 0, -27, 21, 0, 3, -15, 0, -51, -69, 0, 12, 24, 0, -117, -57, 0, 30, 75, 0, 117, 3, 0, -90, -15, 0, -9, -24, 0, -12, 81, 0, -102, -18, 0, -69, -69, 0, -12, -63, 0, 21, 123, 0, -111, 21, 0, -9, -72, 0, -57, -27, 0, -18, -312, 0, -51, -18, 0, -48, 72, 0, 81, -66, 0, -84, 12, 0, 66, 27, 0, -6, 15, 0, -48, 63, 0, -45, -111, 0, -276, 9, 0, 9, 147, 0, 12, -51, 0, -129, 0, 0, 24, -3, 0, -36, 3, 0, -225, 117, 0, -21, 87, 0, 42, -93, 0, 30, 48, 0, -162], "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, 0, 0], [0, 0, 0], [-2, -1, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [-1, 0, 0], [0, 0, 0], [-1, 1, -3], [2, 1, 0], [0, 0, 0], [1, 0, 0], [1, -3, 0], [0, 0, 0], [-1, 0, 3], [-1, 0, 0], [0, 0, 0], [1, 0, 0], [2, 3, -4], [0, 0, 0], [1, 0, 0], [1, -1, 3], [0, 0, 0], [-2, -1, 0], [5, -1, 3], [0, 0, 0], [-1, 1, 0], [-1, 0, 0], [0, 0, 0], [-1, 3, 0], [2, 1, 0], [0, 0, 0], [-4, -2, 3], [1, 0, -3], [0, 0, 0], [1, 0, 0], [1, 4, 1], [0, 0, 0], [1, 1, 1], [-1, 0, 0], [0, 0, 0], [-2, -3, 4], [0, -3, 1], [0, 0, 0], [-1, 4, 1], [-1, 0, 0], [0, 0, 0], [-1, 1, -3], [1, 0, 3], [0, 0, 0], [1, 0, 0], [2, 1, 0], [0, 0, 0], [-5, 1, -3], [6, 2, -5], [0, 0, 0], [4, -1, -1], [1, -1, 0], [0, 0, 0], [1, 0, 0], [1, -1, 3], [0, 0, 0], [-6, -5, 5], [1, -3, 0], [0, 0, 0], [-2, -1, 0], [6, 0, 4], [0, 0, 0], [3, 7, -4], [4, 2, -3], [0, 0, 0], [-1, 0, 3], [2, 1, 0], [0, 0, 0], [-5, -1, 2], [-1, 0, 0], [0, 0, 0], [-1, -4, -1], [1, 7, -1], [0, 0, 0], [-1, 3, 0], [-1, -1, -1], [0, 0, 0], [1, 0, 0], [0, -10, 2], [0, 0, 0], [3, 2, 5], [2, 3, -4], [0, 0, 0], [0, 3, -1], [1, 0, -3], [0, 0, 0], [-7, 4, -3], [1, -4, -1], [0, 0, 0], [1, 0, 0]]}