# Stored data for newform 6480.2.a.by, downloaded from the LMFDB on 19 January 2025.
{"Nk2": 25920, "analytic_conductor": 51.743060509789686, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 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": [6480, 1, [2431, 1621, 6401, 1297], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 62352, "field_disc_factorization": [[2, 4], [3, 2], [433, 1]], "field_poly": [24, 12, -11, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [-18, -42, -17, 2, 1]], [11, [-108, 144, -35, -4, 1]], [13, [216, 36, -39, 0, 1]], [17, [-72, 120, -38, -2, 1]], [19, [433, 0, -50, 0, 1]], [23, [-12, 0, 25, -10, 1]]], "hecke_orbit": 51, "hecke_orbit_code": 225179981402085712, "hecke_ring_generator_nbound": 11, "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": "6480.2.a.by", "level": 6480, "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], "level_radical": 30, "minimal_twist": "3240.2.a.t", "nf_label": "4.4.62352.1", "prim_orbit_index": 1, "qexp_display": "q-q^{5}+(-\\beta _{1}+\\beta _{2})q^{7}+(2-\\beta _{1}+\\beta _{3})q^{11}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6480.2.a", "trace_display": [0, 0, -4, -2], "trace_hash": 502616460184621236, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.881", "prec": 17}, {"__RealLiteral__": 0, "data": "0.404", "prec": 17}, {"__RealLiteral__": 0, "data": "42.200", "prec": 20}, {"__RealLiteral__": 0, "data": "19.789", "prec": 20}, {"__RealLiteral__": 0, "data": "705.158", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, "traces": [0, 4, 0, 0, 0, -4, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 10, 0, 4, 0, 0, 0, 4, 0, -14, 0, 0, 0, 2, 0, 14, 0, 0, 0, -4, 0, -22, 0, 0, 0, 0, 0, 10, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -24, 0, 0, 0, 28, 0, 2, 0, 0, 0, 30, 0, -16, 0, 0, 0, 6, 0, -2, 0, 0, 0, 8, 0, -30, 0, 0, 0, 0, 0, -10, 0, 0, 0, 8, 0, 4, 0, 0, 0, -16, 0, 22, 0, 0, 0, 18, 0, -10, 0, 0, 0, 16, 0, 42, 0, 0, 0, -4, 0, -18, 0, 0, 0, 12, 0, 50, 0, 0, 0, 20, 0, -20, 0, 0, 0, 24, 0, -4, 0, 0, 0, 44, 0, 10, 0, 0, 0, 14, 0, -10, 0, 0, 0, 20, 0, -18, 0, 0, 0, 18, 0, 26, 0, 0, 0, 26, 0, -2, 0, 0, 0, -4, 0, 14, 0, 0, 0, -14, 0, -42, 0, 0, 0, 56, 0, 26, 0, 0, 0, 34, 0, -24, 0, 0, 0, 6, 0, 4, 0, 0, 0, 52, 0, 12, 0, 0, 0, 22, 0, -18, 0, 0, 0, -60, 0, 8, 0, 0, 0, -38, 0, 40, 0, 0, 0, 18, 0, 0, 0, 0, 0, 48, 0, 30, 0, 0, 0, -10, 0, -48, 0, 0, 0, 48, 0, 36, 0, 0, 0, 52, 0, 36, 0, 0, 0, 30, 0, -8, 0, 0, 0, 48, 0, 20, 0, 0, 0, 4, 0, -2, 0, 0, 0, -24, 0, -12, 0, 0, 0, -20, 0, 12, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, -8, 0, 0, 0, -4, 0, -54, 0, 0, 0, 56, 0, -20, 0, 0, 0, 60, 0, 74, 0, 0, 0, -2, 0, 0, 0, 0, 0, 16, 0, -6, 0, 0, 0, 24, 0, 0, 0, 0, 0, -40, 0, 44, 0, 0, 0, -18, 0, 42, 0, 0, 0, -22, 0, -28, 0, 0, 0, 32, 0, 24, 0, 0, 0, -2, 0, -16, 0, 0, 0, 76, 0, -6, 0, 0, 0, 36, 0, 50, 0, 0, 0, 26, 0, -30, 0, 0, 0, -12, 0, 4, 0, 0, 0, 16, 0, -64, 0, 0, 0, 4, 0, 24, 0, 0, 0, 10, 0, 18, 0, 0, 0, 12, 0, -6, 0, 0, 0, -52, 0, -38, 0, 0, 0, 2, 0, 36, 0, 0, 0, 116, 0, 8, 0, 0, 0, 50, 0, 26, 0, 0, 0, -50, 0, -8, 0, 0, 0, -8, 0, 90, 0, 0, 0, 30, 0, 6, 0, 0, 0, -60, 0, 12, 0, 0, 0, -22, 0, 28, 0, 0, 0, -6, 0, 0, 0, 0, 0, 32, 0, -96, 0, 0, 0, 10, 0, -8, 0, 0, 0, 8, 0, -78, 0, 0, 0, 30, 0, 0, 0, 0, 0, -20, 0, -8, 0, 0, 0, 40, 0, -68, 0, 0, 0, -4, 0, -58, 0, 0, 0, -40, 0, -40, 0, 0, 0, -6, 0, -42, 0, 0, 0, 114, 0, 16, 0, 0, 0, -64, 0, -26, 0, 0, 0, -22, 0, 4, 0, 0, 0, 52, 0, 32, 0, 0, 0, 26, 0, 84, 0, 0, 0, -34, 0, -18, 0, 0, 0, 56, 0, 22, 0, 0, 0, 10, 0, -30, 0, 0, 0, -36, 0, 114, 0, 0, 0, -50, 0, -50, 0, 0, 0, 20, 0, -16, 0, 0, 0, -12, 0, 8, 0, 0, 0, -42, 0, -14, 0, 0, 0, -48, 0, -72, 0, 0, 0, 64, 0, 10, 0, 0, 0, 50, 0, 4, 0, 0, 0, 48, 0, -54, 0, 0, 0, 18, 0, -132, 0, 0, 0, -12, 0, 46, 0, 0, 0, 0, 0, 6, 0, 0, 0, -64, 0, -12, 0, 0, 0, -92, 0, 38, 0, 0, 0, -50, 0, 36, 0, 0, 0, 128, 0, 48, 0, 0, 0, 62, 0, -4, 0, 0, 0, -40, 0, -20, 0, 0, 0, 0, 0, 74, 0, 0, 0, 20, 0, -142, 0, 0, 0, -76, 0, 98, 0, 0, 0, -134, 0, 36, 0, 0, 0, -60, 0, -24, 0, 0, 0, 0, 0, -70, 0, 0, 0, 4, 0, -72, 0, 0, 0, -16, 0, 12, 0, 0, 0, 116, 0, 18, 0, 0, 0, 10, 0, -44, 0, 0, 0, -64, 0, 44, 0, 0, 0, -10, 0, -88, 0, 0, 0, -84, 0, -10, 0, 0, 0, -6, 0, -6, 0, 0, 0, 14, 0, -14, 0, 0, 0, 4, 0, 38, 0, 0, 0, 10, 0, -38, 0, 0, 0, 84, 0, 84, 0, 0, 0, -48, 0, 116, 0, 0, 0, -6, 0, -20, 0, 0, 0, 24, 0, 38, 0, 0, 0, 18, 0, -98, 0, 0, 0, -48, 0, 20, 0, 0, 0, -104, 0, -54, 0, 0, 0, 126, 0, -18, 0, 0, 0, -44, 0, -6, 0, 0, 0, -26, 0, -116, 0, 0, 0, 84, 0, -6, 0, 0, 0, 36, 0, 142, 0, 0, 0, 116, 0, -26, 0, 0, 0, -4, 0, 72, 0, 0, 0, 2, 0, 16, 0, 0, 0, -96, 0, 38, 0, 0, 0, -12, 0, 94, 0, 0, 0, -52, 0, 4, 0, 0, 0, -40, 0, 32, 0, 0, 0, -14, 0, 32, 0, 0, 0, 76, 0, -90, 0, 0, 0, 44, 0, 42, 0, 0, 0, -108, 0, 14, 0, 0, 0, 24, 0, 46, 0, 0, 0, 42, 0, -92, 0, 0, 0, 0, 0, -8, 0, 0, 0, -80, 0, 108, 0, 0, 0, -32, 0, -56, 0, 0, 0, -84, 0, -50, 0, 0, 0, -26, 0, 2, 0, 0, 0, 4, 0, -18, 0, 0, 0, -24, 0, 74, 0, 0, 0, -50, 0, -34, 0, 0, 0, -104, 0, -18, 0, 0, 0, 24, 0, -6, 0, 0, 0, -144, 0, 18, 0, 0, 0, 52, 0, 96, 0, 0, 0, -48, 0, -6, 0, 0, 0, 48, 0, 18, 0, 0, 0, -4, 0, -12, 0, 0, 0, 20, 0, 24, 0, 0, 0, -48, 0, 32, 0, 0, 0, -120, 0, -52, 0, 0, 0, -100, 0, 10, 0, 0, 0, -12, 0, 6, 0, 0, 0, -32, 0, -16, 0, 0, 0, -94, 0, -54, 0, 0, 0, 22, 0, -22, 0, 0, 0, -12, 0, -26, 0, 0, 0, 18, 0, -102, 0, 0, 0, -96, 0, 22, 0, 0, 0, -60, 0, 106, 0, 0, 0, 56, 0, 60, 0, 0, 0, 40, 0, -150, 0, 0, 0, -8, 0, 36, 0, 0, 0, 0, 0, 10, 0, 0, 0, 48, 0, 24, 0, 0, 0, -96, 0, 38, 0, 0, 0, -172, 0, -32, 0, 0, 0, -40, 0, -98, 0, 0, 0, -128, 0, -44, 0, 0, 0, 36, 0, 4, 0, 0, 0, -42, 0, -18, 0, 0, 0, 68, 0, -56, 0, 0, 0, 0, 0, -52, 0, 0, 0, 4, 0, 134, 0, 0, 0, -34, 0, 138, 0, 0, 0, -106, 0, -48, 0, 0, 0, 36, 0, 48, 0, 0, 0, -30, 0, 18, 0, 0, 0, -36, 0, 162, 0, 0, 0, 50, 0, 46, 0, 0, 0, -14, 0, 10, 0, 0, 0, 32, 0, -2, 0, 0, 0, 48, 0, -86, 0, 0, 0, -76, 0, 66, 0, 0, 0, -66, 0, 28, 0, 0, 0, -20, 0, -48, 0, 0, 0, -28, 0, -24, 0, 0, 0, -36, 0, -82, 0, 0, 0, 12, 0, 104, 0, 0, 0, -22, 0, -18, 0, 0, 0, -8, 0, -52, 0, 0, 0, 48, 0, 128, 0, 0, 0, -36, 0, 12, 0, 0, 0, -44, 0, -36, 0, 0, 0, -140, 0, 144, 0, 0, 0, 48, 0, -30, 0, 0, 0, 152, 0, -4, 0, 0, 0, 8, 0, -168, 0, 0, 0, -36, 0, 126, 0, 0, 0, -62, 0, -6, 0, 0, 0, 28, 0, -48, 0, 0, 0, 148, 0, -84, 0, 0, 0, -20, 0, 0, 0, 0, 0, -104, 0, -142, 0, 0, 0, -110, 0, 52, 0, 0, 0, 12, 0, -4, 0, 0, 0, -176, 0, 26, 0, 0, 0, 2, 0, -98, 0, 0, 0, 36, 0, 0, 0, 0, 0, 38, 0, -6, 0, 0, 0, 12, 0, 24, 0, 0, 0, -20, 0, 84, 0, 0, 0, 12, 0, -12, 0, 0, 0, -88, 0, 12, 0, 0, 0, -34, 0, 158, 0, 0, 0, -120, 0, 20, 0, 0, 0, 36, 0, 142, 0, 0, 0, -12, 0, -10, 0, 0, 0, -36, 0, -82, 0, 0, 0, 26, 0, 16, 0, 0, 0, -6, 0, -36, 0, 0, 0, -144, 0, -116, 0, 0, 0, 0, 0, 6, 0, 0, 0, 60, 0, -136, 0, 0, 0, -102, 0, 24, 0, 0, 0, 14, 0, 24, 0, 0, 0, -64, 0, 0, 0, 0, 0, 8, 0, -44, 0, 0, 0, 132, 0, 70, 0, 0, 0, -102, 0, -58, 0, 0, 0, -182, 0, 4, 0, 0, 0, -244, 0, 138, 0, 0, 0, 54, 0, 6, 0, 0, 0, -8, 0, 146, 0, 0, 0, -120, 0, 128, 0, 0, 0, -116, 0, -56, 0, 0, 0, 108, 0, 84, 0, 0, 0, 20, 0, -118, 0, 0, 0, -144, 0, 36, 0, 0, 0, -102, 0, -32, 0, 0, 0, -162, 0, -60, 0, 0, 0, 0, 0, -240, 0, 0, 0, -74, 0, -10, 0, 0, 0, 60, 0, -120, 0, 0, 0, -2, 0, 36, 0, 0, 0, 64, 0, 2, 0, 0, 0, -108, 0, 18, 0, 0, 0, 0, 0, 24, 0, 0, 0, 32, 0, 144, 0, 0, 0, -44, 0, -32, 0, 0, 0, -54, 0, -16, 0, 0, 0, 112, 0, -54, 0, 0, 0, 6, 0, -6, 0, 0, 0, -76, 0, 158, 0, 0, 0, 26, 0, -38, 0, 0, 0, -48, 0, -24, 0, 0, 0, -44, 0, 96, 0, 0, 0, 0, 0, -82, 0, 0, 0, -48, 0, -32, 0, 0, 0, 82, 0, 20, 0, 0, 0, 78, 0, 40, 0, 0, 0, -68, 0, -18, 0, 0, 0, -44, 0, -22, 0, 0, 0, -4, 0, -120, 0, 0, 0, 186, 0, -150, 0, 0, 0, 34, 0, 18, 0, 0, 0, -20, 0, -86, 0, 0, 0, -42, 0, 28, 0, 0, 0, -8, 0, 76, 0, 0, 0, -142, 0, -118, 0, 0, 0, 62, 0, 22, 0, 0, 0, 56, 0, 72, 0, 0, 0, 28, 0, -28, 0, 0, 0, 60, 0, 62, 0, 0, 0, -84, 0, 34, 0, 0, 0, 14, 0, -32, 0, 0, 0, -12, 0, 110, 0, 0, 0, -24, 0, -192, 0, 0, 0, 60, 0, 178, 0, 0, 0, -40, 0, -116, 0, 0, 0, -36, 0, 2, 0, 0, 0, 0, 0, 72, 0, 0, 0, 16, 0, -74, 0, 0, 0, -60, 0, -102, 0, 0, 0, 58, 0, 172, 0, 0, 0, -26, 0, -76, 0, 0, 0, 140, 0, 24, 0, 0, 0, 6, 0, 2, 0, 0, 0, -16, 0, 18, 0, 0, 0, 16, 0, 70, 0, 0, 0, 66, 0, -36, 0, 0, 0, 140, 0, -16, 0, 0, 0, -50, 0, -8, 0, 0, 0, 28, 0, 28, 0, 0, 0, -4, 0, -36, 0, 0, 0, 162, 0, -26, 0, 0, 0, -152, 0, 48, 0, 0, 0, 30, 0, -190, 0, 0, 0, -32, 0, -66, 0, 0, 0, 72, 0, 202, 0, 0, 0, 188, 0, 12, 0, 0, 0, -104, 0, -34, 0, 0, 0, -4, 0, -52, 0, 0, 0, 0, 0, -120, 0, 0, 0, 122, 0, 90, 0, 0, 0, -90, 0, -16, 0, 0, 0, 24, 0, 32, 0, 0, 0, 64, 0, -72, 0, 0, 0, -64, 0, -68, 0, 0, 0, -104, 0, 70, 0, 0, 0, -24, 0, -4, 0, 0, 0, -240, 0, -92, 0, 0, 0, -24, 0, -78, 0, 0, 0, 104, 0, 110, 0, 0, 0, 102, 0, 46, 0, 0, 0, 0, 0, -10, 0, 0, 0, -104, 0, 18, 0, 0, 0, -18, 0, -4, 0, 0, 0, -56, 0, 92, 0, 0, 0, -160, 0, 98, 0, 0, 0, -40, 0, -12, 0, 0, 0, -104, 0, 50, 0, 0, 0, 6, 0, 32, 0, 0, 0, 128, 0, -94, 0, 0, 0, -30, 0, 128, 0, 0, 0, -150, 0, 52, 0, 0, 0, 136, 0, -54, 0, 0, 0, 38, 0, -174, 0, 0, 0, 28, 0, -82, 0, 0, 0, 30, 0, 72, 0, 0, 0, -194, 0, -2, 0, 0, 0, -68, 0, -70, 0, 0, 0, -36, 0, -18, 0, 0, 0, 88, 0, 50, 0, 0, 0, 198, 0, 80, 0, 0, 0, 68, 0, -116, 0, 0, 0, 80, 0, -136, 0, 0, 0, -8, 0, -8, 0, 0, 0, -216, 0, -10, 0, 0, 0, -130, 0, 30, 0, 0, 0, -6, 0, -50, 0, 0, 0, 48, 0, 28, 0, 0, 0, -26, 0, -108, 0, 0, 0, -172, 0, 72, 0, 0, 0, 10, 0, 38, 0, 0, 0, 10, 0, 50, 0, 0, 0, -64, 0, 174, 0, 0, 0, 8, 0, -26, 0, 0, 0, -76, 0, -102, 0, 0, 0, 112, 0, -90, 0, 0, 0, 86, 0, 8, 0, 0, 0, 0, 0, 44, 0, 0, 0, -90, 0, -104, 0, 0, 0, 200, 0, 42, 0, 0, 0, -82, 0, 22, 0, 0, 0, 72, 0, -30, 0, 0, 0, 92, 0, 32, 0, 0, 0, -6, 0, -12, 0, 0, 0, -52, 0, -30, 0, 0, 0, -188, 0, 50, 0, 0, 0, 122, 0, 60, 0, 0, 0, 116, 0, -76, 0, 0, 0, -12, 0, -70, 0, 0, 0, 96, 0, -56, 0, 0, 0, 114, 0, -24, 0, 0, 0, 20, 0, 22, 0, 0, 0, 32, 0, 62, 0, 0, 0, -28, 0, -62, 0, 0, 0, 76, 0, 72, 0, 0, 0, 118, 0, 160, 0, 0, 0, 162, 0, 6, 0, 0, 0, -16, 0, 176, 0, 0, 0, 0, 0, -156, 0, 0, 0, -56, 0, 88, 0, 0, 0, -102, 0, -90, 0, 0, 0, -44, 0, -32, 0, 0, 0, 264, 0, 0, 0, 0, 0, 96, 0, -126, 0, 0, 0, 116, 0, 50, 0, 0, 0, 76, 0, -24, 0, 0, 0, -6, 0, -10, 0, 0, 0, 84, 0, -216, 0, 0, 0, 8, 0, -84, 0, 0, 0, 72, 0, -122, 0, 0, 0, -60, 0, 56, 0, 0, 0, 184, 0, -8, 0, 0, 0, -80, 0, -40, 0, 0, 0, 78, 0, 126, 0, 0, 0, -156, 0, 112, 0, 0, 0, -14, 0, -68, 0, 0, 0, 0, 0, -30, 0, 0, 0, 4, 0, 110, 0, 0, 0, 0, 0, -22, 0, 0, 0, 132, 0, 114, 0, 0, 0, 80, 0, -96, 0, 0, 0, -2, 0, 20, 0, 0, 0, -64, 0, -68, 0, 0, 0, 8, 0, 84, 0, 0, 0, 68, 0, -48, 0, 0, 0, 30, 0, 70, 0, 0, 0, 62, 0, -40, 0, 0, 0, 4, 0, 42, 0, 0, 0, 68, 0, 78, 0, 0, 0, 240, 0, -14, 0, 0, 0, 90, 0, -40, 0, 0, 0, 30, 0, 4, 0, 0, 0, 0, 0, -82, 0, 0, 0, 58, 0, 132, 0, 0, 0, -12, 0, 58, 0, 0, 0, -6, 0, 144, 0, 0, 0, -100, 0, 40, 0, 0, 0, -156, 0, 224, 0, 0, 0, 40, 0, -58, 0, 0, 0, -116, 0, 168, 0, 0, 0, 310, 0, 36, 0, 0, 0, -132, 0, 6, 0, 0, 0, 0, 0, -8, 0, 0, 0, 42, 0, 98, 0, 0, 0, -176, 0, -136, 0, 0, 0, -44, 0, -74, 0, 0, 0, -176, 0, -114, 0, 0, 0, -76, 0, 40, 0, 0, 0, -16, 0, -176, 0, 0, 0, 40, 0, 18, 0, 0, 0, -86, 0, -68, 0, 0, 0, 126, 0, 64, 0, 0, 0, -64, 0, -132, 0, 0, 0, 26, 0, -70, 0, 0, 0, -88, 0, -178, 0, 0, 0, -96, 0, 62, 0, 0, 0, -168, 0, 22, 0, 0, 0, -32, 0, 26, 0, 0, 0, -4, 0, 140, 0, 0, 0, 140, 0, 120, 0, 0, 0, 308, 0, -38, 0, 0, 0, 80, 0, -52, 0, 0, 0, -4, 0, -104, 0, 0, 0, -32, 0, -32, 0, 0, 0, -124, 0, 42, 0, 0, 0, 10, 0, 20, 0, 0, 0, 130, 0, -26, 0, 0, 0, 12, 0, -72, 0, 0, 0, -84, 0, 10, 0, 0, 0, 192, 0, -30, 0, 0, 0, 210, 0, 126, 0, 0, 0, -178, 0, 34, 0, 0, 0, 52, 0, 180, 0, 0, 0, 18, 0, 164, 0, 0, 0, -100, 0, -34, 0, 0, 0, 52, 0, 208, 0, 0, 0, 74, 0, -56, 0, 0, 0, 264, 0, 104, 0, 0, 0, -22, 0, 4, 0, 0, 0, 52, 0, 268, 0, 0, 0, 20, 0, 46, 0, 0, 0, 118, 0, -10, 0, 0, 0, 180, 0, 44, 0, 0, 0, 30, 0, -60, 0, 0, 0, 12, 0, 204, 0, 0, 0, -158, 0, 36, 0, 0, 0, 92, 0, 36, 0, 0, 0, 104, 0, -66, 0, 0, 0, -114, 0, -166, 0, 0, 0, -20, 0, -68, 0, 0, 0, 74, 0, -42, 0, 0, 0, 52, 0, 50, 0, 0, 0, 248, 0, -60, 0, 0, 0, 50, 0, 126, 0, 0, 0, 84, 0, -38, 0, 0, 0, -108, 0, 54, 0, 0, 0, 66, 0, -20, 0, 0, 0, 88, 0, 90, 0, 0, 0, 16, 0, 96, 0, 0, 0, 48, 0, 154, 0, 0, 0, -12, 0, -160, 0, 0, 0, 134, 0, 12, 0, 0, 0, -56, 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, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -1, 0, 1], [0, 0, 0, 0], [0, 1, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, -1], [0, 0, 0, 0], [1, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, -1, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -1, -2, 1], [0, 0, 0, 0], [-4, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [4, -2, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 2], [0, 0, 0, 0], [-6, 2, 2, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 1, 4, -1], [0, 0, 0, 0], [2, -1, 2, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, -1, 4, 1], [0, 0, 0, 0], [-2, 1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [2, 0, 2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 1, -1], [0, 0, 0, 0], [-4, -2, -4, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, -3, -2, -1], [0, 0, 0, 0], [0, 2, -2, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, -3], [0, 0, 0, 0], [-4, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 2, -1], [0, 0, 0, 0], [0, 0, -2, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 1, 6, 1], [0, 0, 0, 0], [-9, 3, -6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 2, 0, 0], [0, 0, 0, 0], [-4, 2, 4, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]}