# Stored data for newform 6825.2.a.bi, downloaded from the LMFDB on 18 May 2025.
{"Nk2": 27300, "analytic_conductor": 54.497899379523865, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [7, -1], [13, -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": [6825, 1, [2276, 3277, 976, 4201], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 3981, "field_disc_factorization": [[3, 1], [1327, 1]], "field_poly": [1, 2, -4, -1, 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": [[2, [1, -2, -4, 1, 1]], [11, [3, 0, -11, -2, 1]], [17, [-89, -76, -10, 5, 1]], [19, [-139, 49, 65, 15, 1]]], "hecke_orbit": 35, "hecke_orbit_code": 153122387364158121, "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": true, "label": "6825.2.a.bi", "level": 6825, "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": [3, 5, 7, 13], "level_radical": 1365, "minimal_twist": "6825.2.a.bi", "nf_label": "4.4.3981.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6825.2.a", "trace_display": [-1, 4, 0, 4], "trace_hash": 808736081845956230, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.715", "prec": 17}, {"__RealLiteral__": 0, "data": "0.080", "prec": 17}, {"__RealLiteral__": 0, "data": "36.759", "prec": 20}, {"__RealLiteral__": 0, "data": "10.486", "prec": 20}, {"__RealLiteral__": 0, "data": "564.188", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.012", "prec": 17}, "traces": [0, 4, -1, 4, 1, 0, -1, 4, -3, 4, 0, 2, 1, 4, -1, 0, -1, -5, -1, -15, 0, 4, -9, -8, -3, 0, -1, 4, 1, -5, 0, -15, -2, 2, -3, 0, 1, -12, 13, 4, 0, -5, -1, -11, -6, 0, 11, 4, -1, 4, 0, -5, 1, -15, -1, 0, -3, -15, 0, -11, 0, -20, 4, 4, -15, 0, -9, -2, -7, -8, 0, 20, -3, -6, -11, 0, -26, 2, -1, -7, 0, 4, 1, -2, 1, 0, -10, -5, 15, -8, 0, 4, -13, -15, -28, 0, -2, 5, -1, 2, 0, 3, -3, 7, -3, 0, -1, -14, 1, -13, 0, -12, -1, 1, 13, 0, 45, 4, -23, -5, 0, -18, 27, -5, -15, 0, -1, -10, 30, -11, 0, -3, -6, -15, -34, 0, 26, -23, 11, -26, 0, 4, -21, 2, -1, 0, 49, 4, 41, 19, 0, -25, 17, -5, -9, 0, 1, -31, 45, -15, 0, -8, -1, -5, 15, 0, 31, -3, -3, 4, 0, -15, -5, 14, 0, 0, 13, -11, 32, -31, 0, -11, -1, -20, -5, 0, 4, 24, 49, 4, 0, -18, -15, 0, -59, 0, 1, 6, -9, -49, 0, -2, -27, -5, -7, 0, 7, -8, -1, -11, 0, 0, 18, 20, 12, 0, -3, -15, 39, -6, 0, -5, -11, -5, -2, 0, 14, 10, -26, -20, 0, 2, -24, 36, -1, 0, -1, -7, -3, -77, 0, -15, 5, 4, -25, 0, 1, -15, 28, -2, 0, 0, 1, -24, -67, 0, -1, -15, -10, -12, 0, -5, 34, 12, 15, 0, 13, -8, -9, 45, 0, -6, -1, 4, 44, 0, -13, -58, -6, -15, 0, 14, -28, 31, -43, 0, -9, -5, -2, -23, 0, 5, -12, 28, -1, 0, -36, 2, -20, -8, 0, -11, 18, 3, 24, 0, -3, 12, -6, 7, 0, -35, -3, -23, -49, 0, -8, 55, -1, -29, 0, -14, 11, 8, 1, 0, 43, -13, -41, 4, 0, -24, -24, -12, -13, 0, -1, -55, -1, 1, 0, 9, 13, 4, -9, 0, -70, -4, 45, 25, 0, 4, -12, 35, -23, 0, 12, -5, 42, -3, 0, 19, 41, -18, 1, 0, 27, 7, 17, -5, 0, -15, -15, 19, -1, 0, -54, -5, -1, -23, 0, -10, -21, 23, 30, 0, -10, -11, 64, 33, 0, -23, -3, -3, 48, 0, -6, -6, -4, -15, 0, -40, -34, -15, 10, 0, 0, -37, 26, 7, 0, -23, 7, -11, 11, 0, -2, -26, 41, -61, 0, 4, 30, 4, -28, 0, -21, -20, 3, 2, 0, -90, -1, 14, 4, 0, -46, 63, 49, -20, 0, 4, -3, -5, 41, 0, -33, 19, -15, -46, 0, -47, -40, -25, 6, 0, 17, 25, 67, -5, 0, -16, -9, 41, -61, 0, 8, -16, 1, -2, 0, -31, -15, -10, 45, 0, -7, -15, 70, 24, 0, -12, -38, -8, -32, 0, -1, -4, 38, -5, 0, 84, 15, -3, 13, 0, 9, 20, 31, 34, 0, -3, -93, 51, -3, 0, 31, 4, 3, 11, 0, -6, 23, -15, 55, 0, -5, -22, -11, 14, 0, 16, 0, 21, -113, 0, 65, 41, 13, -32, 0, -11, -26, -5, 32, 0, 62, -31, -1, 2, 0, -10, 6, -11, -40, 0, -1, 4, 11, -20, 0, -46, -5, -7, 48, 0, -25, 105, 4, -11, 0, 24, 48, 17, 49, 0, 68, 4, 29, -49, 0, -57, -6, -18, 1, 0, -15, -9, 7, 0, 0, -2, -59, -42, 34, 0, -58, 57, 1, 62, 0, 6, -12, -10, -9, 0, 80, -49, 11, 39, 0, -39, -10, -2, 41, 0, -27, -24, 7, -5, 0, 4, -7, -86, -31, 0, 15, -5, 7, 106, 0, -8, 32, -8, -1, 0, 17, -11, 25, -31, 0, 33, 1, 0, -70, 0, 18, 4, -6, 20, 0, 32, 12, 21, -13, 0, -13, 30, -3, -3, 0, -15, -102, -22, 39, 0, 14, -6, -28, -24, 0, -28, 38, -5, 64, 0, -11, -27, 37, -5, 0, -9, -2, -60, -92, 0, 1, 111, 14, 5, 0, 10, 28, -22, -26, 0, -1, -20, 50, -15, 0, -55, 61, 2, 10, 0, -24, -67, -28, 36, 0, -1, -1, 2, 10, 0, -59, 3, -1, 65, 0, -7, -49, 19, -3, 0, -3, -77, -6, 21, 0, 7, -91, -15, 29, 0, 5, -1, -3, 4, 0, -23, -25, -35, -24, 0, 32, 94, 1, 28, 0, -15, -1, -30, 28, 0, 127, -2, -27, -14, 0, -58, 8, 0, 0, 0, 1, 0, 95, -24, 0, -24, -67, -13, -19, 0, 72, -11, -1, 34, 0, -15, 36, 68, -10, 0, -22, -12, -58, 31, 0, 70, -1, -5, -1, 0, 34, 75, -84, 12, 0, 1, 15, -20, 87, 0, -69, -70, 13, -59, 0, -8, -85, -21, -9, 0, 4, 45, 25, -56, 0, 40, 45, -6, 42, 0, -1, 63, -61, 4, 0, -78, 44, -49, -61, 0, -23, 5, -13, -30, 0, -58, -15, -5, -6, 0, 24, -15, -51, -68, 0, 45, -16, 14, 14, 0, -28, -18, 9, 31, 0, 26, -43, -89, 27, 0, -6, 2, -9, 55, 0, -5, -8, 50, -2, 0, -29, -23, -15, -51, 0, -2, 5, 5, -69, 0, -12, 89, 73, 28, 0, 60, -1, -39, -7, 0, 96, 118, -36, -10, 0, 2, 9, -60, -20, 0, 30, -8, 24, -9, 0, -38, 40, -11, -23, 0, 18, 75, 9, 3, 0, -31, 24, 31, -32, 0, 95, -3, -3, -3, 0, 12, -9, 20, -6, 0, 32, 7, -3, 26, 0, -15, 7, -35, 50, 0, -3, 2, -34, -23, 0, 35, -49, 67, 74, 0, 57, -18, -8, -6, 0, 55, 26, -75, -1, 0, 16, -29, 16, -23, 0, -51, -11, -14, 112, 0, 11, 41, 75, 8, 0, -31, 1, -26, -5, 0, -22, 114, 43, -89, 0, -13, -26, 31, -41, 0, 34, 4, -26, 61, 0, -15, -21, -24, -21, 0, -24, -131, -122, -12, 0, 2, -13, -31, 93, 0, -63, 52, -1, -28, 0, -55, 36, -2, -1, 0, 95, 1, 107, -47, 0, -54, 49, 9, 36, 0, 13, -7, -143, 4, 0, -26, -9, -76, 21, 0, 41, 51, -70, 20, 0, -4, -46, 19, 45, 0, 40, 25, 53, -28, 0, 0, -122, 4, -6, 0, -12, -25, -26, 35, 0, -74, -23, -35, 17, 0, 1, 42, 12, -19, 0, -5, 26, 118, 42, 0, 126, -3, -9, -2, 0, -2, 63, 19, -17, 0, 41, -9, 67, -18, 0, 29, 1, -124, -33, 0, 13, 121, 27, -31, 0, 7, 19, 28, 17, 0, 45, -5, 19, 76, 0, 55, 47, -15, -23, 0, -15, -30, -10, 19, 0, 61, -1, 104, 15, 0, 21, -8, -54, 12, 0, -5, -92, -61, -1, 0, 79, -23, -55, 115, 0, -5, -51, -10, 15, 0, -21, 0, 15, 23, 0, -65, 30, -119, -13, 0, -52, -8, -10, 92, 0, -11, 31, -2, 64, 0, 56, 33, -102, -3, 0, -81, 135, -23, 45, 0, -3, -32, -67, -3, 0, 87, 48, 4, 95, 0, 37, -15, -6, 26, 0, -6, -3, 21, -4, 0, -13, -15, -133, -47, 0, 48, 114, -40, -5, 0, -34, 15, -31, -15, 0, 14, 10, -93, -15, 0, 79, 45, 0, 65, 0, -37, -28, 24, 26, 0, 76, 7, 71, 87, 0, -36, 13, -23, 115, 0, 7, 4, -50, -11, 0, 56, 11, -36, -90, 0, 32, -38, -2, 112, 0, -26, -123, -31, 41, 0, -12, -61, 82, 20, 0, 5, -36, 4, -68, 0, 30, -11, 14, 4, 0, -26, -28, -36, -1, 0, 18, 139, -21, -84, 0, -20, -33, 61, 3, 0, -101, 2, -5, -53, 0, -89, 98, -90, 76, 0, -1, 71, 72, 14, 0, -127, 4, -19, 10, 0, 31, 87, -46, 24, 0, 63, 105, 3, 49, 0, 49, -20, 62, -1, 0, 23, 7, 4, -62, 0, -3, -42, -76, -5, 0, 30, 41, 24, -10, 0, -54, -18, -33, 7, 0, 19, 20, -6, -15, 0, 5, -46, 72, -23, 0, 0, -3, -47, 28, 0, -40, 65, -59, -25, 0, -56, 6, 82, 0, 0, 21, -19, 17, 36, 0, 25, 1, -54, 67, 0, 100, -5, -1, 6, 0, -7, -5, -16, 27, 0, -9, 14, -17, 41, 0, -14, -61, -49, 49, 0, 15, 152, 8, 1, 0, -16, 74, 34, 1, 0, 90, -2, 27, -132, 0, 104, -54, -31, -27, 0, -15, -13, -82, -10, 0, -5, 45, 36, -31, 0, -42, -72, -7, 1, 0, -15, 30, 19, 70, 0, 106, 24, -87, -58, 0, 16, 7, -12, 168, 0, -38, 14, -80, -8, 0, -46, -32, -75, 102, 0, -1, -66, -1, -63, 0, -4, 51, -11, 38, 0, 73, -5, -139, 1, 0, -49, 13, 84, -13, 0, 15, 0, -93, -3, 0, 75, 13, -151, 18, 0, -23, 100, 9, 21, 0, 20, -94, 18, 31, 0, 38, 34, 12, -51, 0, 43, 1, -3, 136, 0, -93, -54, 45, 51, 0, 89, -3, -86, 95, 0, -112, 121, 31, -15, 0, 4, -92, -88, 3, 0, 39, 11, 35, 27, 0, -40, 3, -6, -23, 0, 23, 57, -1, -15, 0, -100, 55, 114, 56, 0, 71, -5, -5, 76, 0, -22, 7, -67, -11, 0, -72, 14, 30, 3, 0, -5, -25, 16, 91, 0, 0, -4, -2, 21, 0, 19, -113, -18, -103, 0, 75, -8, 65, 23, 0, 41, 14, 122, 13, 0, 27, -32, 41, 10, 0, 78, 176, -11, 141, 0, -26, 58, 102, -5, 0, 122, 32, -20, -14, 0, -53, -81, 62, 10, 0, -31, -15, -60, -1, 0, 6, 2, 27, -36, 0, 76, -181, -10, -24, 0, 6, -77, 78, -11, 0, 36, -40, -32, 58, 0, -50, 43, -1, 36, 0, 4, 18, 17, 11, 0, 144, -20, 26, 20, 0, -10, -1, -46, 156, 0, -5, 141, -73, -7, 0, -74, 48, -22, 30, 0, -3, 116, -25, 85, 0, 105, -52, -77, 4, 0, 36, -11, 40, -26, 0, -11, 32, 24, -77, 0, 48, -15, -55, 17, 0, 57, 49, -96, 5, 0, 96, 95, 68, -79, 0, 4, 9, -3, 29, 0, 156, -49, -25, -13, 0, -54, -10, -57, 53, 0, -6, 60, 29, -18, 0, 26, 1, 127, -4, 0, -43, 6, -15, -15, 0, -9, 146, -107, 7, 0, 28, 0, -17, 165, 0, -55, -34, -2, 22, 0, -59, -65, 68, -42, 0, -115, 34, 54, -69, 0, 27, 0, -58, 97, 0, 57, -163, 100, 1, 0, 32, 62, 26, 12, 0, -24, -168, 6, 67, 0, -12, 90, -67, -10, 0, -23, -9, -27, -87, 0, 226, -8, 80, 14, 0, -49, -1, -38, 11, 0, 2, 39, 29, -15, 0, 12, 60, -39, 81, 0, -10, -26, 74, -2, 0, -22, 41, -12, -54, 0, -24, 35, -27, -9, 0, -24, 52, 62, 7, 0, -65, -5, -164, 18, 0, 81, -72, 4, 34, 0, -7, -44, -79, -86, 0, 12, -31, -126, 162, 0, -21, -98, 15, -45, 0, -5, 14, -36, 7, 0, -22, 106, 75, 2, 0, 31, 13, -8, 24, 0, 32, 35, -129, -8, 0, -62, -1, -44, 86, 0, -9, 22, 17, -118, 0, -11, -62, 45, 25, 0, -13, -31, 149, 91, 0, 98, 66, 33, -69, 0, 1, -6, 49, 0, 0, 93, -70, 111, -1, 0, -100, 48, 18, -74, 0, 4, 26, -40, -6, 0, -39, 20, 44, -57, 0, -86, -2, 32, 41, 0, 12, 130, -79, 21, 0, -32, -13, -180, -11, 0, -3, 19, -13, -58, 0, 30, 113, -40, -3, 0, -6, -3, 87, 233, 0, -115, -85, -15, 28, 0, -102, 19, 29, -22, 0, 150, 39, -25, 34, 0, 36, 14, 14, -43, 0, -6, -93, 164, -28, 0, 17, -24, 8, 0, 0, 31, 51, -28, 96, 0, 38, 33, -43, -5, 0, -132, 64, -22, 39, 0, 74, -81, -11, -128, 0, -27, -9, 24, 37, 0, 83, -5, -36, -5, 0, -19, 132, -9, 19, 0, -2, 77, 225, -60, 0, 79, -92, -23, -65, 0, -12, -126, 1, 127, 0, 111, 43, 56, 14, 0, -96, 5, 25, 73, 0, -31, 21, 10, -12, 0, 28, 98, -186, -22, 0, 28, -26, -36, 45, 0, 68, 118, -1, -205, 0, -20, -112, 70, 50, 0, 31, -15, 75, 75, 0, 139, -36, -55, -52, 0, 61, 68, 189, 2, 0, -64, 10, 30, 131, 0, -20, 104, -24, 0, 0, -67, 71, -8, -28, 0, 108, 36, -2, -134, 0, 38, 5, -1, 54, 0, -1, -11, 21, 2, 0, -132, 10, -72, 18, 0, -34, 90, -59, -5, 0, 3, 123, 66, -1, 0, -61, 65, 24, -164, 0, -227, 15, -7, 2, 0, -49, 40, -13, 19, 0, -104, -3, -1, -60, 0, -117, 99, -3, 12, 0, -77, -184, -130, -6, 0, -6, 21, 31, 193, 0, 97, 92, 7, -17, 0, -91, 33, 55, -15, 0, -3, 29, 137, -213, 0, 7, -35, 5, 77, 0, -1, -19, 107, -3, 0, 24, 4, -80, 131, 0, -23, -100, -23, 54, 0, -25, 4, -49, -35, 0, -31, -24, 65, -147, 0, -80, 54, 32, 50, 0, 94, -8, 0, 1, 0, 28, 28, -78, 55, 0, -66, -17, -15, 41, 0, -1, -7, 67, -30, 0, -99, 28, -29, -157, 0, -5, 46, 127, -122, 0, -2, 142, 117, -27, 0, -1, -14, -48, 14, 0, 62, 45, -58, 11, 0, 8, -28, 70, 0, 0, 8, 0, 52, 57, 0, 26, -4, 1, 21, 0, 0, 2, 256, 95, 0, -68, -24, 10, 108, 0, 20, 43, -24, 7, 0, -67, 61, 13, -13, 0, 66, -19, 67, 103, 0, -41, 87, 72, 61, 0, -11, -173, 4, -1, 0, 9, 34, 88, -38, 0, -20, 45, -15, 32, 0, 36, -24, -220, 68, 0, -85, -10, -79, -24, 0, 56, -31, -22, 37, 0, -12, 84, 119, -58, 0, -207, 31, -13, 41, 0, 37, 8, 70, -61, 0, -1, -11, -96, -5, 0, -103, -1, -11, 33, 0, 171, 106, 34, -55, 0, 75, 136, 69, -84, 0, -1, 12, -88, 87, 0, -8, 1, 1, 81, 0, 15, 33, -103, -20, 0, -140, 87, 41, -136, 0, 169, 9, -69, 77, 0, -70, -5, -240, 13, 0, -37, -59, 41, -46, 0, 4, -140, -8, -63, 0, -85, 32, -9, -21, 0, -19, -9, -61, -27, 0, -62, 44, 4, 129, 0, 45, -70, 17, 25, 0, -156, -56, 156, -4, 0, 24, -236, 40, -72, 0, 45, 77, -27, -6, 0, 167, 42, 25, 49, 0, -137, -112, -1, 22, 0, 63, -110, -59, -61, 0, 13, 4, -175, -36, 0, 48, 170, -78, -12, 0, 44, -70, -53, -49, 0, 35, -61, 32, 6, 0, -63, -171, -23, -89, 0, 5, -120, -18, -13, 0, 46, -30, 161, 185, 0, 117, 12, -58, -120, 0, -15, -20, -71, -5, 0, -49, -6, -236, 185, 0, 42, 121, 24, 0, 0, -15, 91, -3, -51, 0, -20, -68, 189, -159, 0, 51, -59, 45, 65, 0, -16, 19, -101, 14, 0, -63, 14, 74, 41, 0, 13, 172, -28, 77, 0, -18, 41, 223, 9, 0, 140, 31, 1, -86, 0, -151, -57, 26, -141, 0, -43, -89, 113, -89, 0, 6, 27, 52, -186, 0, 63, -21, -6, 7, 0, 2, 35, 70, -9, 0, 17, 55, 149, -29, 0, 71, -89, -5, -101, 0, -8, -49, -72, 50, 0, -155, -2, -142, 4, 0, 87, -15, -29, 123, 0, -23, -160, 57, -15, 0, -36, -51, 113, 11, 0, 19, -133, -2, -95, 0, 5, -86, -1, 5, 0, -148, -69, -20, -100, 0, -27, -180, -12, -121, 0, 89, -54, 96, 73, 0, -5, 28, -112, -5, 0, 107, 13, 60, -164, 0, -1, -134, -15, -39, 0, -56, -7, -23, 87, 0, -231, 130, 96, -156, 0, 118, 105, 46, -36, 0, 70, -10, -51, 1, 0, 21, 9, 2, -21, 0, 9, -83, 7, -60, 0, 23, -20, 22, -18, 0, -77, -78, 30, 72, 0, -8, -121, -59, 24, 0, 16, -9, 117, -32, 0, -99, -10, -38, -1, 0, 40, -56, 45, -11, 0, -163, -23, -88, 47, 0, 64, -11, 18, 8, 0, 75, 59, 33, 9, 0, -192, 3, -17, 71, 0, -79, -112, -31, 62, 0, 24, -23, -123, 31, 0, 11, -32, 0, -3, 0, 0, -188, 95, -116, 0, -3, -51, -61, -3, 0, 18, -3, 48, -25, 0, 57, 148, 12, 214, 0, -9, 31, -23, 20, 0, -82, -6, 136, -334, 0, 20, -116, 32, -6, 0, 7, 12, -32, -3, 0, -4, 26, 78, 93, 0, 150, -25, -15, -1, 0, 7, -3, 78, -35, 0, 79, 50, 131, -167, 0, -121, -40, -3, -55, 0, 2, -187, 111, -34, 0, -120, -23, -23, 98, 0, -15, -122, 35, 67, 0, -49, -2, 10, 67, 0, -233, 74, 52, 39, 0, 192, -20, 57, -71, 0, -18, 0, -114, -8, 0, -50, -6, 51, -37, 0, 121, 105, 55, 35, 0, 26, 40, -1, -75, 0, -3, -1, 7, -77, 0, -74, -155, 16, 49, 0, -29, -143, -5, 16, 0, 153, -23, -30, -71, 0, -47, 35, -51, 7, 0, -11, 81, -100, -14, 0, -11, 112, 1, 132, 0, -49, 10, 11, -5, 0, 41, 123, -126, 75, 0, 18, 8, 89, 132, 0, -89, -2, -31, 190, 0, 1, 138, 30, -26, 0, -166, -5, -20, 80, 0, 41, 20, -22, 8, 0, 114, -127, -61, 43, 0, 122, -89, 14, 44, 0, 115, -21, -13, -172, 0, -26, 4, -75, 31, 0, 10, -41, 61, 30, 0, 164, 70, 34, -138, 0, 4, 77, 226, -26, 0, 54, 61, -28, -126, 0, 20, -176, -15, 205, 0, -21, -20, -53, -24, 0, 43, -21, 86, 51, 0, 73, -26, -24, -20, 0, -131, -6, -137, -122, 0, 3, -12, -30, 32, 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, -1, 0, 0], [1, 0, 0, 0], [0, 1, 1, 0], [0, 0, 0, 0], [0, -1, 0, 0], [1, 0, 0, 0], [-1, 0, -1, -1], [1, 0, 0, 0], [0, 0, 0, 0], [0, 1, -1, -1], [0, 1, 1, 0], [1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [-2, 1, -1, -2], [0, -1, 0, 0], [-3, -2, -1, 1], [0, 0, 0, 0], [1, 0, 0, 0], [-2, 0, 0, 1], [-1, -2, 0, 2], [-1, 0, -1, -1], [0, 0, 0, 0], [0, -1, 0, 0], [1, 0, 0, 0], [0, 1, 1, 0], [-2, 2, 3, -1], [0, 0, 0, 0], [-4, 0, -1, -1], [0, 1, 1, 3], [0, 1, -1, -1], [-1, 2, 1, 1], [0, 0, 0, 0], [0, 1, 1, 0], [-3, 2, 3, 2], [2, 6, 1, 1], [1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 2, 4], [0, -1, 0, 0], [-2, 0, 0, 3], [-1, 0, 1, 2], [0, 0, 0, 0], [2, 3, 0, 0], [1, 3, 3, 3], [0, 0, -1, 1], [1, 0, 0, 0], [0, 0, 0, 0], [-2, 1, -1, -2], [0, 1, 1, 0], [-3, 0, 2, 3], [0, -1, 0, 0], [0, 0, 0, 0], [-1, 0, -1, -1], [-3, -2, -1, 1], [0, -3, -1, -3], [-2, 1, 0, 4], [0, 0, 0, 0], [-5, -2, -1, -2], [0, 5, 1, 1], [1, 0, 0, 0], [-4, -2, -2, -3], [0, 0, 0, 0], [-2, 0, 0, 1], [-3, 5, -3, -5], [0, -4, -1, 3], [-1, -2, 0, 2], [0, 0, 0, 0], [5, 0, -4, 0], [-1, 0, -1, -1], [-2, -3, 0, -5], [-3, -2, -4, -3], [0, 0, 0, 0], [-6, -5, -5, -3], [0, 1, -1, -1], [0, -1, 0, 0], [-1, -4, 1, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, -1, -3, -2], [-2, -1, -2, -7], [0, 1, 1, 0], [0, 0, 0, 0], [-3, 2, -3, 0], [-2, 2, 3, -1], [3, 0, -2, -3], [0, -4, 3, 4], [0, 0, 0, 0], [1, 0, 0, 0], [-4, -1, -3, -4], [-4, 0, -1, -1], [-6, -7, -6, -3], [0, 0, 0, 0], [0, 1, 1, 3], [-1, 8, 2, -1], [0, -1, 0, 0], [0, 1, -1, -1], [0, 0, 0, 0]]}