# Stored data for newform 5776.2.a.bs, downloaded from the LMFDB on 09 December 2025.
{"Nk2": 23104, "analytic_conductor": 46.12159220749155, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [19, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [5776, 1, [5055, 1445, 2529], [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": [[3, [17, -6, -3, 1]], [5, [-3, 0, 3, 1]], [7, [-3, 9, -6, 1]], [11, [-1, 9, -6, 1]], [13, [-17, -21, 0, 1]]], "hecke_orbit": 45, "hecke_orbit_code": 198158383637862032, "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": "5776.2.a.bs", "level": 5776, "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": [2, 19], "level_radical": 38, "minimal_twist": "152.2.q.b", "nf_label": "3.3.81.1", "prim_orbit_index": 1, "qexp_display": "q+(1+2\\beta _{1}-\\beta _{2})q^{3}+(-1-\\beta _{2})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": "5776.2.a", "trace_display": [0, 3, -3, 6], "trace_hash": 1336615430044105937, "trace_moments": [{"__RealLiteral__": 0, "data": "0.077", "prec": 17}, {"__RealLiteral__": 0, "data": "2.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.634", "prec": 17}, {"__RealLiteral__": 0, "data": "23.808", "prec": 20}, {"__RealLiteral__": 0, "data": "9.144", "prec": 17}, {"__RealLiteral__": 0, "data": "274.566", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "traces": [0, 3, 0, 3, 0, -3, 0, 6, 0, 12, 0, 6, 0, 0, 0, -3, 0, -6, 0, 0, 0, 15, 0, -6, 0, -6, 0, 12, 0, 15, 0, 3, 0, 15, 0, -9, 0, 12, 0, 18, 0, 0, 0, -6, 0, -21, 0, 0, 0, -3, 0, 21, 0, -18, 0, -3, 0, 0, 0, 9, 0, -15, 0, 33, 0, 12, 0, -6, 0, 12, 0, -6, 0, 0, 0, 3, 0, 15, 0, -21, 0, 3, 0, 12, 0, 15, 0, 15, 0, 15, 0, 3, 0, -24, 0, 0, 0, 21, 0, 24, 0, -3, 0, 6, 0, -27, 0, 18, 0, -39, 0, 30, 0, -3, 0, 24, 0, -9, 0, -3, 0, -15, 0, 45, 0, 12, 0, -3, 0, 3, 0, -15, 0, 0, 0, -39, 0, 6, 0, 0, 0, 27, 0, 15, 0, -9, 0, 33, 0, -24, 0, -18, 0, -24, 0, 6, 0, -57, 0, 9, 0, -12, 0, 30, 0, -12, 0, -15, 0, 3, 0, 0, 0, 6, 0, -3, 0, -9, 0, 21, 0, -18, 0, -51, 0, -12, 0, 6, 0, 51, 0, 9, 0, -27, 0, 3, 0, 30, 0, 12, 0, 12, 0, 27, 0, -15, 0, -42, 0, 0, 0, 21, 0, -96, 0, -15, 0, -12, 0, 72, 0, 45, 0, 27, 0, -6, 0, 24, 0, 21, 0, 42, 0, 21, 0, -15, 0, 24, 0, -33, 0, 33, 0, 39, 0, -15, 0, 0, 0, 12, 0, -18, 0, 6, 0, -12, 0, -9, 0, 33, 0, 51, 0, 15, 0, -9, 0, 24, 0, 60, 0, -15, 0, 12, 0, -12, 0, 3, 0, -15, 0, 24, 0, 45, 0, 0, 0, 30, 0, 15, 0, 3, 0, -9, 0, -39, 0, 24, 0, 54, 0, 3, 0, -39, 0, 3, 0, 45, 0, 60, 0, 21, 0, -42, 0, -72, 0, 24, 0, 33, 0, 81, 0, 0, 0, -9, 0, -57, 0, 21, 0, 15, 0, 57, 0, 60, 0, 27, 0, -30, 0, -3, 0, -21, 0, 24, 0, 15, 0, 0, 0, -27, 0, -45, 0, -12, 0, 6, 0, -18, 0, 0, 0, 12, 0, 0, 0, 9, 0, 45, 0, -9, 0, 6, 0, -15, 0, 12, 0, -15, 0, -12, 0, -18, 0, -18, 0, 12, 0, 0, 0, 66, 0, -42, 0, 30, 0, -60, 0, 0, 0, 21, 0, -9, 0, -57, 0, 33, 0, 21, 0, 15, 0, 24, 0, -6, 0, -81, 0, -57, 0, 30, 0, 36, 0, 12, 0, -42, 0, 33, 0, 21, 0, 39, 0, 0, 0, 0, 0, 12, 0, 33, 0, 9, 0, 0, 0, -15, 0, 3, 0, 15, 0, 36, 0, 18, 0, -60, 0, -24, 0, -27, 0, 27, 0, 60, 0, 45, 0, -30, 0, -57, 0, -18, 0, 0, 0, -18, 0, 6, 0, 18, 0, -30, 0, -3, 0, 45, 0, 129, 0, -75, 0, -21, 0, -39, 0, -48, 0, -21, 0, 21, 0, 3, 0, -3, 0, -24, 0, 21, 0, 36, 0, 0, 0, -18, 0, 6, 0, -102, 0, 6, 0, -54, 0, 6, 0, -33, 0, 15, 0, 72, 0, 15, 0, -27, 0, 30, 0, 3, 0, -69, 0, 18, 0, 21, 0, -102, 0, -60, 0, 0, 0, -24, 0, -39, 0, 39, 0, -33, 0, 15, 0, 9, 0, -36, 0, 69, 0, -36, 0, -72, 0, 36, 0, -6, 0, 3, 0, -9, 0, 21, 0, -36, 0, 39, 0, -6, 0, 0, 0, 57, 0, 36, 0, 18, 0, -96, 0, -63, 0, -63, 0, -96, 0, 30, 0, -48, 0, 63, 0, -3, 0, 6, 0, -105, 0, -9, 0, -18, 0, -78, 0, 27, 0, -15, 0, 0, 0, 3, 0, -42, 0, 30, 0, 18, 0, 0, 0, -42, 0, 6, 0, 63, 0, -60, 0, 27, 0, -6, 0, -57, 0, -3, 0, 0, 0, 36, 0, 39, 0, -78, 0, -45, 0, 0, 0, -12, 0, 45, 0, -54, 0, -12, 0, 30, 0, 24, 0, 24, 0, 51, 0, -12, 0, 33, 0, 57, 0, -27, 0, -12, 0, 78, 0, 27, 0, 45, 0, 48, 0, 45, 0, 0, 0, -78, 0, -21, 0, -15, 0, -75, 0, -6, 0, 21, 0, -33, 0, -117, 0, 45, 0, -12, 0, -39, 0, 3, 0, 12, 0, -6, 0, -3, 0, -96, 0, 24, 0, 9, 0, 0, 0, 21, 0, -3, 0, 39, 0, 72, 0, -33, 0, -18, 0, 42, 0, -78, 0, 6, 0, 39, 0, -78, 0, 51, 0, -78, 0, -93, 0, -99, 0, 90, 0, -33, 0, 96, 0, 0, 0, -66, 0, 33, 0, 75, 0, 78, 0, -12, 0, 0, 0, -60, 0, -90, 0, 9, 0, 18, 0, 42, 0, 36, 0, 54, 0, -3, 0, 45, 0, 48, 0, -42, 0, -21, 0, 0, 0, -15, 0, 48, 0, 48, 0, -21, 0, 81, 0, -9, 0, -69, 0, 33, 0, 15, 0, -69, 0, -27, 0, -6, 0, -21, 0, 36, 0, -24, 0, 0, 0, -6, 0, 15, 0, 0, 0, 12, 0, 129, 0, 120, 0, -18, 0, -6, 0, -174, 0, -15, 0, 126, 0, 48, 0, 27, 0, -111, 0, -18, 0, -21, 0, 69, 0, -57, 0, -9, 0, -18, 0, 15, 0, 0, 0, 18, 0, 0, 0, 24, 0, 36, 0, 30, 0, -6, 0, -3, 0, -21, 0, 36, 0, 27, 0, 39, 0, -36, 0, 87, 0, 18, 0, -126, 0, -15, 0, 69, 0, -75, 0, 0, 0, 48, 0, 15, 0, -111, 0, 12, 0, -63, 0, 0, 0, -144, 0, 102, 0, 72, 0, 123, 0, 6, 0, 24, 0, 78, 0, -3, 0, -36, 0, 117, 0, 99, 0, -12, 0, 0, 0, 18, 0, -54, 0, -81, 0, 9, 0, 42, 0, -138, 0, -21, 0, -75, 0, 84, 0, -42, 0, -12, 0, -21, 0, 0, 0, -48, 0, 75, 0, 21, 0, -90, 0, 114, 0, 0, 0, -54, 0, -9, 0, 12, 0, -27, 0, 33, 0, 30, 0, -6, 0, -21, 0, 45, 0, 63, 0, -12, 0, -99, 0, -45, 0, 114, 0, -42, 0, -36, 0, -84, 0, -30, 0, 0, 0, -99, 0, -45, 0, 30, 0, -36, 0, 18, 0, -21, 0, 0, 0, 33, 0, -60, 0, 96, 0, 42, 0, -57, 0, -30, 0, 60, 0, 48, 0, 54, 0, 12, 0, -18, 0, 0, 0, 45, 0, -15, 0, -69, 0, 3, 0, -18, 0, -108, 0, -51, 0, -123, 0, -45, 0, -30, 0, -33, 0, 135, 0, -111, 0, -27, 0, 18, 0, -39, 0, -36, 0, 105, 0, 0, 0, 105, 0, 84, 0, -12, 0, 72, 0, 111, 0, 33, 0, -45, 0, -60, 0, 120, 0, 105, 0, -39, 0, 3, 0, -15, 0, -27, 0, -15, 0, -18, 0, -63, 0, 39, 0, 0, 0, 84, 0, 33, 0, -96, 0, -9, 0, -12, 0, 24, 0, -78, 0, 36, 0, 63, 0, -51, 0, 63, 0, -27, 0, -24, 0, -33, 0, -15, 0, -69, 0, -84, 0, 63, 0, 0, 0, -96, 0, 30, 0, -60, 0, -54, 0, -150, 0, 90, 0, -42, 0, -27, 0, -129, 0, -132, 0, -18, 0, 87, 0, -48, 0, 51, 0, -33, 0, -117, 0, 63, 0, -30, 0, 0, 0, -9, 0, 69, 0, 108, 0, -39, 0, 3, 0, -51, 0, 21, 0, -81, 0, 27, 0, 36, 0, 6, 0, -3, 0, 18, 0, 30, 0, 42, 0, -6, 0, 108, 0, -90, 0, 0, 0, -87, 0, 15, 0, 33, 0, -123, 0, 24, 0, -39, 0, 15, 0, -33, 0, -24, 0, -6, 0, -54, 0, 66, 0, 48, 0, 12, 0, -3, 0, -72, 0, 21, 0, 6, 0, 0, 0, -48, 0, 24, 0, -51, 0, -39, 0, 93, 0, 123, 0, 90, 0, 30, 0, 27, 0, -75, 0, -51, 0, 9, 0, 15, 0, 30, 0, -51, 0, 123, 0, -69, 0, 138, 0, 0, 0, -81, 0, 60, 0, 42, 0, -126, 0, -81, 0, 27, 0, -15, 0, 36, 0, 63, 0, -45, 0, -123, 0, 63, 0, -6, 0, 21, 0, 96, 0, 9, 0, -54, 0, -45, 0, 0, 0, -171, 0, 45, 0, -36, 0, 69, 0, -3, 0, -81, 0, -36, 0, -42, 0, -45, 0, -102, 0, 3, 0, -15, 0, -255, 0, -90, 0, -54, 0, -27, 0, -33, 0, 57, 0, 0, 0, -33, 0, -15, 0, 90, 0, 36, 0, -90, 0, -165, 0, -123, 0, -51, 0, 45, 0, -24, 0, 144, 0, -120, 0, 66, 0, -39, 0, 51, 0, -63, 0, 66, 0, 54, 0, 0, 0, 102, 0, 156, 0, -105, 0, -93, 0, -66, 0, 18, 0, 27, 0, 114, 0, 57, 0, 84, 0, -93, 0, 147, 0, 33, 0, -174, 0, 63, 0, -24, 0, 87, 0, -18, 0, 0, 0, -42, 0, -54, 0, 36, 0, 165, 0, -42, 0, 6, 0, 42, 0, 45, 0, -84, 0, -60, 0, 66, 0, 30, 0, 192, 0, -27, 0, -42, 0, 144, 0, -54, 0, -117, 0, 0, 0, 192, 0, -54, 0, -117, 0, 39, 0, -87, 0, 33, 0, -42, 0, 0, 0, -30, 0, -6, 0, 69, 0, 6, 0, 6, 0, -36, 0, -117, 0, 69, 0, 57, 0, 24, 0, 0, 0, 57, 0, 129, 0, 84, 0, -63, 0, -57, 0, 72, 0, -15, 0, 144, 0, 0, 0, -144, 0, -120, 0, 12, 0, 48, 0, -135, 0, 141, 0, -39, 0, 30, 0, 21, 0, 0, 0, 30, 0, 3, 0, -9, 0, -114, 0, -93, 0, -63, 0, -18, 0, 93, 0, -132, 0, 21, 0, 30, 0, -57, 0, -66, 0, -99, 0, -72, 0, -60, 0, -42, 0, 21, 0, 0, 0, -51, 0, -129, 0, -33, 0, 3, 0, 120, 0, -111, 0, 63, 0, 39, 0, -123, 0, -81, 0, -60, 0, -123, 0, 72, 0, 27, 0, -3, 0, -81, 0, 54, 0, 36, 0, 0, 0, 81, 0, -54, 0, -54, 0, 81, 0, 114, 0, -57, 0, 33, 0, -72, 0, -33, 0, 15, 0, 0, 0, -18, 0, -57, 0, 0, 0, -57, 0, -72, 0, -114, 0, -105, 0, 0, 0, -159, 0, 81, 0, -30, 0, -207, 0, 27, 0, 12, 0, 48, 0, -75, 0, -132, 0, -63, 0, 51, 0, 12, 0, 21, 0, -45, 0, -81, 0, -249, 0, 75, 0, 138, 0, 0, 0, -87, 0, -12, 0, 201, 0, -6, 0, 3, 0, -18, 0, 87, 0, 90, 0, 27, 0, -9, 0, 51, 0, -24, 0, 114, 0, -48, 0, 54, 0, -39, 0, 18, 0, 54, 0, 0, 0, -27, 0, -240, 0, 24, 0, 24, 0, 12, 0, 114, 0, 45, 0, -57, 0, -177, 0, 36, 0, 126, 0, -9, 0, -75, 0, -93, 0, -123, 0, -12, 0, 60, 0, -3, 0, 0, 0, -150, 0, 30, 0, -39, 0, -108, 0, 24, 0, -54, 0, -180, 0, 12, 0, 33, 0, -96, 0, 15, 0, -9, 0, 63, 0, 39, 0, 27, 0, -69, 0, 135, 0, -18, 0, 0, 0, 93, 0, 63, 0, 21, 0, 33, 0, 21, 0, 30, 0, 18, 0, -57, 0, 30, 0, -9, 0, -42, 0, 54, 0, -93, 0, -6, 0, -135, 0, 129, 0, 135, 0, -78, 0, 0, 0, -93, 0, 15, 0, -12, 0, 105, 0, 9, 0, 72, 0, -42, 0, -87, 0, -45, 0, -9, 0, -81, 0, 24, 0, -75, 0, 3, 0, 54, 0, -72, 0, -120, 0, -66, 0, 0, 0, 141, 0, -45, 0, 102, 0, 18, 0, 36, 0, 66, 0, 108, 0, 105, 0, 51, 0, 138, 0, 120, 0, 90, 0, -132, 0, 3, 0, 6, 0, 117, 0, -30, 0, 24, 0, 0, 0, -39, 0, 39, 0, 96, 0, -114, 0, 78, 0, 135, 0, 135, 0, 21, 0, -135, 0, 30, 0, -39, 0, -39, 0, 66, 0, -60, 0, 111, 0, -12, 0, 45, 0, -75, 0, 0, 0, -21, 0, 33, 0, -93, 0, 36, 0, 141, 0, 57, 0, 24, 0, -30, 0, -69, 0, 3, 0, 78, 0, 93, 0, -48, 0, 66, 0, -39, 0, -99, 0, -243, 0, -42, 0, 0, 0, 132, 0, -33, 0, 48, 0, 114, 0, -48, 0, -33, 0, 189, 0, 36, 0, 117, 0, -180, 0, 66, 0, -18, 0, 210, 0, 207, 0, 48, 0, 90, 0, -42, 0, 87, 0, 0, 0, 45, 0, -42, 0, -123, 0, 0, 0, 117, 0, -75, 0, -9, 0, -114, 0, 66, 0, -45, 0, 87, 0, -57, 0, 45, 0, -6, 0, 174, 0, 57, 0, -78, 0, 48, 0, 0, 0, 81, 0, -177, 0, 0, 0, -54, 0, -162, 0, 15, 0, -66, 0, 162, 0, -66, 0, 51, 0, 141, 0, 36, 0, 135, 0, -12, 0, 45, 0, 0, 0, 84, 0, 18, 0, 0, 0, 57, 0, -24, 0, -39, 0, -105, 0, -15, 0, 51, 0, 159, 0, 102, 0, -27, 0, -132, 0, -45, 0, -63, 0, 24, 0, 3, 0, 45, 0, 153, 0, 117, 0, 126, 0, 0, 0, -48, 0, -33, 0, -51, 0, -6, 0, 72, 0, -57, 0, -153, 0, -33, 0, 21, 0, -21, 0, -24, 0, 234, 0, -108, 0, 141, 0, -222, 0, -60, 0, -96, 0, -99, 0, 0, 0, -108, 0, -3, 0, 3, 0, -87, 0, -33, 0, 69, 0, -33, 0, -48, 0, 144, 0, 6, 0, -114, 0, 51, 0, 84, 0, -195, 0, -96, 0, 0, 0, 33, 0, -114, 0, 0, 0, -24, 0, 99, 0, 120, 0, -120, 0, -141, 0, -27, 0, -9, 0, 75, 0, 30, 0, 126, 0, 66, 0, -48, 0, 3, 0, 87, 0, 60, 0, 195, 0, 171, 0, 0, 0, 0, 0, -99, 0, -126, 0, -174, 0, 162, 0, 12, 0, -39, 0, 15, 0, -12, 0, 102, 0, 33, 0, 63, 0, -39, 0, -81, 0, -51, 0, -12, 0, 6, 0, 21, 0, 9, 0, 0, 0, -117, 0, -78, 0, -18, 0, -48, 0, -63, 0, -30, 0, 9, 0, -180, 0, -12, 0, -9, 0, -117, 0, -42, 0, 3, 0, 6, 0, 39, 0, 66, 0, 108, 0, -36, 0, 0, 0, 144, 0, 159, 0, 30, 0, 222, 0, -156, 0, -78, 0, -18, 0, -12, 0, 51, 0, 165, 0, -114, 0, -72, 0, -114, 0, 123, 0, -12, 0, -156, 0, -6, 0, -75, 0, 0, 0, 57, 0, 36, 0, -69, 0, 186, 0, 0, 0, 165, 0, 72, 0, -90, 0, 129, 0, -114, 0, -21, 0, -3, 0, -87, 0, -6, 0, 9, 0, 93, 0, 54, 0, 90, 0, 0, 0, 108, 0, 39, 0, -87, 0, 51, 0, -174, 0, -60, 0, -21, 0, -39, 0, 6, 0, 162, 0, -186, 0, 33, 0, 45, 0, 117, 0, 72, 0, 99, 0, 3, 0, -3, 0, 0, 0, 105, 0, -9, 0, 21, 0, 135, 0, 78, 0, -3, 0, -51, 0, -129, 0, -6, 0, 225, 0, -117, 0, 12, 0, -24, 0, -72, 0, -12, 0, -210, 0, -63, 0, 18, 0, 0, 0, 153, 0, 48, 0, -33, 0, 21, 0, 33, 0, 156, 0, 15, 0, 90, 0, 255, 0, -51, 0, -84, 0, -108, 0, -93, 0, 102, 0, 156, 0, 153, 0, -138, 0, -21, 0, 0, 0, 18, 0, -33, 0, -117, 0, 51, 0, 126, 0, 105, 0, 159, 0, -24, 0, -15, 0, 54, 0, 72, 0, -114, 0, -51, 0, -21, 0, 78, 0, 51, 0, -180, 0, 36, 0, 0, 0, 42, 0, -15, 0, 144, 0, 96, 0, 33, 0, -54, 0, -201, 0, -87, 0, 93, 0, 90, 0, 150, 0, -30, 0, -63, 0, 141, 0, 18, 0, 24, 0, 9, 0, 75, 0, 0, 0, -99, 0, -39, 0, 63, 0, 36, 0, 135, 0, 144, 0, 153, 0, -60, 0, -84, 0, 21, 0, 72, 0, -261, 0, 102, 0, 9, 0, 102, 0, 114, 0, 57, 0, -96, 0, 0, 0, 63, 0, 204, 0, 33, 0, 96, 0, -39, 0, 18, 0, -177, 0, 72, 0, 78, 0, 60, 0, 63, 0, 198, 0, 87, 0, 93, 0, -90, 0, -48, 0, -99, 0, 45, 0, 0, 0, -30, 0, 24, 0, -27, 0, 180, 0, 45, 0, 84, 0, 36, 0, 102, 0, 48, 0, -15, 0, -111, 0, -96, 0, 159, 0, 102, 0, 9, 0, -156, 0, 24, 0, 6, 0, 0, 0, -39, 0, -39, 0, 66, 0, -123, 0, 18, 0, 33, 0, -48, 0, 111, 0, -192, 0, 123, 0, 78, 0, -87, 0, -42, 0, 21, 0, -63, 0, 51, 0, -87, 0, -270, 0, 0, 0, -15, 0, -243, 0, 42, 0, 84, 0, 75, 0, 33, 0, 18, 0, -108, 0, 87, 0, -45, 0, 204, 0, 60, 0, 24, 0, -138, 0, 60, 0, -24, 0, 33, 0, -24, 0, 0, 0, 105, 0, 12, 0, -150, 0, -30, 0, -147, 0, -168, 0, -90, 0, 33, 0, -51, 0, 207, 0, 45, 0, 36, 0, 180, 0, 15, 0, -6, 0, 24, 0, 72, 0, -18, 0, 0, 0, -51, 0, -180, 0, 234, 0, -63, 0, 162, 0, -216, 0, 42, 0, -39, 0, -9, 0, -69, 0, -21, 0, -9, 0, -45, 0, 3, 0, 96, 0, 42, 0, -174, 0, -102, 0, 0, 0, 66, 0, -12, 0, -15, 0, 87, 0, -183, 0, 48, 0, 84, 0, 192, 0, 111, 0, 30, 0, -186, 0, 48, 0, 24, 0, 114, 0, -12, 0, 84, 0, 96, 0, -30, 0, 0, 0, 180, 0, 18, 0, -21, 0, 42, 0, 180, 0, 48, 0, 84, 0, -84, 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], [0, 0, 0], [1, 2, -1], [0, 0, 0], [-1, 0, -1], [0, 0, 0], [2, 1, 0], [0, 0, 0], [4, 1, 1], [0, 0, 0], [2, 1, -1], [0, 0, 0], [0, 2, -3], [0, 0, 0], [-1, -3, -1], [0, 0, 0], [-2, 3, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, 4, 0], [0, 0, 0], [-2, 2, -4], [0, 0, 0], [-2, 1, 1], [0, 0, 0], [4, 3, 3], [0, 0, 0], [5, 0, -1], [0, 0, 0], [1, -3, 0], [0, 0, 0], [5, 3, -2], [0, 0, 0], [-3, -2, -2], [0, 0, 0], [4, 2, -1], [0, 0, 0], [6, -3, -2], [0, 0, 0], [0, 5, 0], [0, 0, 0], [-2, 1, 3], [0, 0, 0], [-7, -3, -4], [0, 0, 0], [0, 3, 1], [0, 0, 0], [-1, 4, 1], [0, 0, 0], [7, -7, 2], [0, 0, 0], [-6, 3, 3], [0, 0, 0], [-1, -1, -2], [0, 0, 0], [0, 0, 0], [0, 0, 0], [3, -2, 6], [0, 0, 0], [-5, -4, 4], [0, 0, 0], [11, 7, 3], [0, 0, 0], [4, -1, 0], [0, 0, 0], [-2, 2, -10], [0, 0, 0], [4, -8, -2], [0, 0, 0], [-2, -10, 8], [0, 0, 0], [0, 8, -4], [0, 0, 0], [1, -3, 6], [0, 0, 0], [5, 3, -1], [0, 0, 0], [-7, 5, -4], [0, 0, 0], [1, 8, 5], [0, 0, 0], [4, 0, -1], [0, 0, 0], [5, -3, 2], [0, 0, 0], [5, 9, -7], [0, 0, 0], [5, 1, -3], [0, 0, 0], [1, 1, -4], [0, 0, 0], [-8, 2, -7], [0, 0, 0], [0, 0, 0], [0, 0, 0], [7, -2, -2], [0, 0, 0], [8, 5, 0], [0, 0, 0]]}