# Stored data for newform 3325.2.a.y, downloaded from the LMFDB on 15 November 2024.
{"Nk2": 13300, "analytic_conductor": 26.550258672075728, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [7, 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": [3325, 1, [2927, 2376, 876], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 545804913728, "field_disc_factorization": [[2, 6], [83, 1], [102749419, 1]], "field_poly": [3, 32, -20, -70, 36, 24, -12, -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": [[2, [3, -32, -20, 70, 36, -24, -12, 2, 1]], [3, [16, 48, -32, -76, 32, 31, -11, -3, 1]], [11, [-3072, -3584, 3456, 1408, -1392, 156, 64, -16, 1]]], "hecke_orbit": 25, "hecke_orbit_code": 108086391090449661, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "3325.2.a.y", "level": 3325, "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": [5, 7, 19], "level_radical": 665, "minimal_twist": "665.2.a.k", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{2}q^{3}+(1-\\beta _{2}+\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3325.2.a", "trace_display": [-2, 3, 0, -8], "trace_hash": 1716648119514972679, "trace_moments": [{"__RealLiteral__": 0, "data": "0.069", "prec": 17}, {"__RealLiteral__": 0, "data": "7.084", "prec": 17}, {"__RealLiteral__": 0, "data": "2.235", "prec": 17}, {"__RealLiteral__": 0, "data": "145.319", "prec": 24}, {"__RealLiteral__": 0, "data": "102.667", "prec": 24}, {"__RealLiteral__": 0, "data": "4884.332", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "traces": [0, 8, -2, 3, 12, 0, 9, -8, 0, 7, 0, 16, 19, -2, 2, 0, 24, 7, 5, 8, 0, -3, 10, -7, 1, 0, -6, 15, -12, 6, 0, 6, 18, 6, -5, 0, 1, -3, -2, 8, 0, -7, -9, -23, 40, 0, 13, 0, 9, 8, 0, 7, 2, 11, -5, 0, 0, 3, -52, 4, 0, 18, 24, -7, 32, 0, 12, -4, 13, -41, 0, 13, 13, 1, -37, 0, 12, -16, -28, 10, 0, 12, 7, 20, -19, 0, 7, -6, 70, -2, 0, 2, 43, 16, -36, 0, 33, 42, -2, 60, 0, -8, 79, -14, -74, 0, 3, -6, 27, 0, 0, 3, -24, 7, 9, 0, 26, 38, -26, -7, 0, 40, 72, 7, -58, 0, -5, -56, 48, -47, 0, 37, 134, -8, -54, 0, -35, 10, 23, 11, 0, 12, 15, 36, -99, 0, 7, 3, -59, -13, 0, 35, 0, 48, -10, 0, 44, -21, 68, 51, 0, 7, 44, -13, -115, 0, 2, 10, -1, 4, 0, 7, -57, -14, -120, 0, 60, 70, 24, 35, 0, -41, 6, -14, 79, 0, 38, -28, 44, -15, 0, 42, -25, -11, 36, 0, 12, 12, -72, -27, 0, -30, 120, -6, -21, 0, 0, -70, -38, 16, 0, 99, 3, -3, -82, 0, -97, -6, -70, -21, 0, -12, -97, -67, -18, 0, -3, 59, 19, 26, 0, -6, -72, 0, 30, 0, 100, 100, 5, 54, 0, -35, 34, 28, -22, 0, -49, -2, 4, 18, 0, 3, -1, 44, -4, 0, 104, 56, -9, 3, 0, -34, -103, 11, 0, 0, 2, -46, -108, -54, 0, 107, 53, -8, -44, 0, 3, -16, -29, 56, 0, -16, 60, 46, -95, 0, -76, 7, -63, 103, 0, -22, 27, -42, 9, 0, 79, 22, 29, -8, 0, 23, 49, 82, 24, 0, 186, 3, -40, 40, 0, -48, -48, -4, -13, 0, 14, 3, -43, 32, 0, -50, -13, 7, 52, 0, -9, -68, -93, 0, 0, 70, -92, 66, -92, 0, -9, -42, -6, 21, 0, -12, 5, -8, 81, 0, 8, 0, 26, 14, 0, 84, 158, -13, -168, 0, 22, -7, -1, 66, 0, 8, -119, 3, -2, 0, 144, 6, 275, 74, 0, -11, 4, 18, 34, 0, -96, 40, 5, 27, 0, -84, -122, 9, 121, 0, -87, 82, 42, -5, 0, 59, 0, 39, 12, 0, 24, 29, -43, -3, 0, -36, -168, -4, 96, 0, 52, 18, -45, -31, 0, -38, -62, -4, -60, 0, -158, 9, 10, 83, 0, -8, 5, 44, -21, 0, 25, -18, -26, 36, 0, -62, -183, 40, -24, 0, -12, -7, -19, -8, 0, 7, -8, 88, 21, 0, 129, -47, -32, 22, 0, -6, -89, 43, 7, 0, 1, -10, -96, 7, 0, 0, -12, -51, 166, 0, -32, 26, 62, 4, 0, -77, -94, 96, 6, 0, -13, 42, -160, 43, 0, -92, 101, 41, 64, 0, 152, -62, 120, 97, 0, 40, 1, 12, -6, 0, -2, -13, -184, 12, 0, -156, 49, 60, -13, 0, 162, 1, -184, -61, 0, -1, 118, 15, 76, 0, 49, -68, 37, 26, 0, -121, -186, 86, 91, 0, -171, 158, 38, 131, 0, -148, -12, 108, 168, 0, -166, 9, -12, 16, 0, -55, -39, -47, -317, 0, 28, -18, 34, -46, 0, 6, 139, -10, -34, 0, 41, 32, 76, 68, 0, -130, 36, 115, -56, 0, -48, -12, 55, 78, 0, 60, -132, -54, -7, 0, -179, -4, -21, -39, 0, -20, 64, 14, 57, 0, -106, 50, 19, 6, 0, -42, -201, 83, -24, 0, -135, -9, -196, -10, 0, -66, -7, 16, 83, 0, 54, -23, 18, 6, 0, -8, -100, 6, -61, 0, -70, 58, -22, -40, 0, -209, -64, 2, -208, 0, -12, 6, 69, -45, 0, 94, 76, 67, -95, 0, 65, -2, -164, 12, 0, -26, -94, -10, -43, 0, -5, 14, -122, -64, 0, -16, 157, 82, -118, 0, -237, -52, 36, 153, 0, -82, 80, -20, 6, 0, -264, 120, -198, -45, 0, -4, -33, 39, 104, 0, -48, 76, -59, -42, 0, 1, -28, 154, 1, 0, 2, -38, -177, 16, 0, -87, 42, -60, -164, 0, -44, -17, -100, 6, 0, -88, 172, -3, 180, 0, 13, 8, 6, 7, 0, 76, -104, -2, -79, 0, 47, -152, -48, -36, 0, 14, -2, 41, -57, 0, -23, -14, 74, 16, 0, -29, -18, 77, 32, 0, 53, 20, 16, 106, 0, 8, -3, 76, -66, 0, -24, -4, -128, 6, 0, -95, -80, -41, -240, 0, -27, -118, 31, -162, 0, -44, -128, 0, 146, 0, 21, -4, 169, 26, 0, 26, 25, -6, -100, 0, 192, -3, -97, -7, 0, -46, -339, -174, 24, 0, -5, -14, -116, -41, 0, -7, -92, -88, 259, 0, -125, 16, -9, 164, 0, -66, -8, 52, -10, 0, -4, 162, 260, 56, 0, 58, -26, 39, -296, 0, -135, -23, 173, -38, 0, -63, -32, -111, -16, 0, 26, 50, -382, -135, 0, 132, -86, 7, 89, 0, 40, -44, 17, -30, 0, 92, 152, 118, 147, 0, 228, -40, -131, 260, 0, -129, -49, -120, -72, 0, -242, -14, -108, -87, 0, -7, 0, -92, -185, 0, 50, 20, 58, 40, 0, 140, -74, -58, 13, 0, 31, 34, -126, -76, 0, 14, 5, 108, 208, 0, 176, -105, -199, 56, 0, -4, -167, 0, 91, 0, -48, -196, -166, 20, 0, -135, -224, 47, -167, 0, 187, 24, 19, 58, 0, 71, 9, 96, 146, 0, 54, -37, 205, 20, 0, 37, 66, -112, -134, 0, -79, 28, -64, -20, 0, 8, 164, 92, 10, 0, 102, 40, 54, 90, 0, -93, 35, -149, 400, 0, -134, 68, 140, 0, 0, 117, 35, 11, -36, 0, 126, -44, 59, -10, 0, -4, 32, -140, -183, 0, -23, -76, 360, 7, 0, 54, -12, -11, 218, 0, 138, 15, -131, -76, 0, -82, 56, -45, -175, 0, -198, -12, 2, 91, 0, 151, -180, -124, -15, 0, 114, -123, 112, -119, 0, -36, -62, -56, -19, 0, -108, 11, 99, -80, 0, -34, 56, -107, 11, 0, -120, 126, -69, -2, 0, 38, -7, -180, 164, 0, -5, 12, 104, -3, 0, -36, -125, 24, -12, 0, 59, 36, -164, -96, 0, -56, 155, 13, -138, 0, -88, -70, -225, 68, 0, -10, 129, 138, 36, 0, 312, -35, 99, -115, 0, 105, -180, -51, 0, 0, 100, 120, -122, 16, 0, -48, -80, 98, -45, 0, -70, -172, 10, 52, 0, -60, 33, 3, 213, 0, -179, -81, 37, 151, 0, 150, -44, 138, 210, 0, -276, -74, 118, 21, 0, -56, -52, 0, 217, 0, -68, 93, 280, 152, 0, 160, -231, -51, -142, 0, 68, -117, 40, 162, 0, 4, 280, 81, -92, 0, 183, -7, -72, 138, 0, -108, 214, -120, -44, 0, -113, -199, -44, -12, 0, 13, 4, -188, -228, 0, -46, 28, 115, -129, 0, -31, 125, 120, 60, 0, -11, 56, -217, 18, 0, -19, -2, 105, 98, 0, -76, -173, 135, -10, 0, 37, -238, -273, -8, 0, 1, -148, 24, 90, 0, -109, 54, -4, 171, 0, -179, 13, -134, -6, 0, 187, 163, 190, -185, 0, -188, -7, 172, 20, 0, -27, -4, 10, 57, 0, -192, 21, 21, -108, 0, 14, 242, -82, -39, 0, 32, 12, 120, -235, 0, -16, 96, 34, 214, 0, 28, 105, -73, 70, 0, -24, -60, 114, 40, 0, -80, 110, 148, -70, 0, -83, -259, 62, 120, 0, -24, -20, -68, -25, 0, 74, 240, -35, 12, 0, -167, -57, 323, -35, 0, -120, -178, 30, -86, 0, 271, 41, -17, 144, 0, 140, -33, -4, -6, 0, 36, -56, -34, 68, 0, 14, 24, 80, -198, 0, 154, 128, -79, 75, 0, 32, 13, 32, 114, 0, -24, 24, 28, 20, 0, -8, -38, 40, 33, 0, -140, 46, -48, 28, 0, -41, -257, 36, -118, 0, -44, -98, 129, -56, 0, -194, -160, 15, -134, 0, 292, -115, 104, 20, 0, 204, 218, -18, 54, 0, -68, -42, 41, -76, 0, 16, 312, -138, 25, 0, -107, 144, -134, 13, 0, 11, 56, -112, 42, 0, 83, 96, -36, 120, 0, -9, 183, -68, -56, 0, 16, 44, 13, 211, 0, 100, -12, 14, 108, 0, -61, 183, 68, -12, 0, -38, 65, 268, -292, 0, 72, 1, -60, -165, 0, 24, 34, 27, 151, 0, 246, -196, -158, 6, 0, 202, 304, 48, 104, 0, -37, 30, 482, -216, 0, -136, -163, -304, -120, 0, 196, 24, 119, -170, 0, 6, 16, -175, -10, 0, -268, 118, 21, -73, 0, 149, 43, 90, -74, 0, 18, 21, 280, -134, 0, -24, 0, 80, 12, 0, -45, -85, -119, 70, 0, -60, 383, -106, 208, 0, 38, -12, 268, -114, 0, -90, 87, -16, 168, 0, 1, 118, 346, 212, 0, 210, 627, 204, -400, 0, 286, -99, -320, -422, 0, 94, -28, 92, -3, 0, 116, 52, -124, 20, 0, 3, 350, -76, -396, 0, 162, -32, 82, 68, 0, 10, 61, -100, -340, 0, 117, 188, 224, 36, 0, -62, 97, 36, 276, 0, 47, 23, 360, 6, 0, -111, 4, 108, -280, 0, 70, 127, -298, -28, 0, -32, -39, 21, -412, 0, 229, -66, -32, 12, 0, 12, 118, -26, -99, 0, 66, 12, 14, 28, 0, 60, 402, 14, 97, 0, 13, -350, 7, 132, 0, 67, -52, -5, 85, 0, -284, -16, 18, 60, 0, -28, 15, -26, -92, 0, 128, 20, -139, -47, 0, 100, 3, -64, -164, 0, 88, 162, 119, -59, 0, 93, -173, -242, 2, 0, -19, -50, 56, 0, 0, 40, 398, -26, -16, 0, 74, 99, -232, -39, 0, 152, 188, -123, -288, 0, 104, 6, 160, 86, 0, 41, 10, -155, 72, 0, 297, 46, 130, 34, 0, 0, -109, -147, 7, 0, 41, -38, -30, -84, 0, 10, 43, -56, 150, 0, 15, -18, -78, 32, 0, 32, -100, -6, -86, 0, 144, 60, -17, -100, 0, 98, -134, 26, -138, 0, -5, 176, -19, 96, 0, 224, 70, -54, 290, 0, -119, 40, -30, 121, 0, 3, -198, 260, -132, 0, -130, 35, -119, 241, 0, -2, -28, 212, -34, 0, 183, -96, -38, 36, 0, -28, 407, 24, -77, 0, 12, 158, 22, -100, 0, 368, -218, -68, -82, 0, -12, -206, -9, -120, 0, -112, 49, -4, -326, 0, -60, -184, -269, 2, 0, -30, 20, 50, 72, 0, -4, -110, 80, -28, 0, -157, -112, -18, 148, 0, -170, -62, 43, 260, 0, 166, 93, 44, 324, 0, 8, -3, -188, -6, 0, -76, -18, 89, 1, 0, 204, 16, 60, -192, 0, -44, 60, -50, 189, 0, 97, 68, 4, -99, 0, 400, 162, -248, 169, 0, -36, 63, -131, 46, 0, -146, -104, 168, 12, 0, 66, 228, -116, -56, 0, 52, 271, 62, -326, 0, 9, 152, -227, -114, 0, 51, 141, -3, 188, 0, -53, -250, -54, -242, 0, 235, 11, 35, 33, 0, -268, 34, -18, -28, 0, 12, -44, 168, 103, 0, 351, -88, -254, 6, 0, -11, -77, 42, 164, 0, 152, 66, 0, 43, 0, 38, -237, -2, 40, 0, 54, -4, -314, -176, 0, -117, -2, -103, 336, 0, -168, 12, 330, 46, 0, -120, -94, -96, -112, 0, 108, -47, -66, 113, 0, 60, 237, 54, -261, 0, -357, -315, 194, -166, 0, 112, -248, -138, -180, 0, 74, -107, -100, 84, 0, 181, -215, -208, -53, 0, 155, 56, 326, -16, 0, 8, -60, -127, -364, 0, 269, -45, 44, -8, 0, -15, -10, 146, 72, 0, 16, -84, -235, 66, 0, 52, -3, 191, 352, 0, 360, -192, 79, 16, 0, 54, 26, 324, 316, 0, 29, 308, -114, -88, 0, -54, 204, -56, -279, 0, 265, -14, 304, 6, 0, 87, -230, 56, 464, 0, 73, 16, -355, 294, 0, -93, -48, -239, -60, 0, -74, 111, -9, 60, 0, -46, 91, -58, -150, 0, 262, -4, 95, 136, 0, -70, -84, -193, -13, 0, -232, 183, -209, -118, 0, -102, 76, -38, -244, 0, -254, -200, 231, -7, 0, 78, 356, -168, 3, 0, 63, -13, 82, -147, 0, -48, 32, -103, 786, 0, 135, 160, -175, -247, 0, 120, -144, -6, 56, 0, -45, 22, -240, -102, 0, 12, -200, 304, -27, 0, 224, 24, 168, 100, 0, 42, 27, 36, 36, 0, 92, 47, -9, -74, 0, 46, -44, 82, -109, 0, -140, 148, -204, 165, 0, 0, -79, 219, -114, 0, -182, 144, 66, -22, 0, -102, -56, 94, -5, 0, -29, 36, 194, -37, 0, 105, -138, 8, 36, 0, 47, -154, 294, -132, 0, 20, -374, 130, -257, 0, 70, -23, -78, 3, 0, 205, 50, -39, -49, 0, 513, 60, -41, 152, 0, -82, 105, 14, -128, 0, 35, 155, -24, -93, 0, -94, 240, 172, 236, 0, 136, 54, 104, -332, 0, 51, -186, -114, -354, 0, 200, 7, 303, -3, 0, -24, -180, 20, 146, 0, 40, -44, -244, -148, 0, -138, -280, -40, 11, 0, 9, -88, 87, -238, 0, -132, -117, 83, -243, 0, -91, 48, -483, -41, 0, 8, -78, -22, 48, 0, -136, 45, -170, -208, 0, 4, 66, -275, 214, 0, -94, -220, 13, -107, 0, 160, 282, -166, 26, 0, 72, 212, 555, -88, 0, -264, -14, -80, 435, 0, 118, 68, -50, -3, 0, 67, 332, 38, 153, 0, 43, 287, 72, 364, 0, 220, 64, -32, 215, 0, -168, -31, -112, -149, 0, -246, -26, 10, -6, 0, -311, 50, 188, 120, 0, 20, 75, -25, 13, 0, -196, -190, -32, -90, 0, -7, -196, -74, -300, 0, -112, 86, -52, -8, 0, -34, 95, -116, 211, 0, 202, -164, -126, -101, 0, -276, 9, 42, 160, 0, -108, -102, -356, 68, 0, -176, -34, -57, 50, 0, 93, -28, 289, 40, 0, -196, -9, 0, -71, 0, 84, 286, -120, 63, 0, 195, -497, -82, 240, 0, -25, -70, 72, -264, 0, 34, 101, 30, 92, 0, 161, 180, 172, 108, 0, -66, 210, 101, 31, 0, 203, 7, 92, 201, 0, 38, -409, -172, 90, 0, -415, -38, 166, -198, 0, -10, 9, 12, -144, 0, -58, -23, 180, 42, 0, 104, 59, 413, -130, 0, 6, -66, -535, -74, 0, 44, 301, -21, 155, 0, -440, 165, -112, -164, 0, 135, 213, -113, -115, 0, 130, 12, -217, -2, 0, -40, -304, -110, -5, 0, -222, 136, -188, -24, 0, 8, -23, 270, 126, 0, 42, 352, -81, -10, 0, -80, 64, -56, 157, 0, 89, -32, 300, -126, 0, 90, -8, -10, 278, 0, -302, -38, 185, 0, 0, 52, 48, 218, 172, 0, -26, -18, 179, 146, 0, 132, -438, -14, 216, 0, -88, 336, -380, 8, 0, -47, 86, -194, -149, 0, -597, -84, -304, 105, 0, -234, -276, -417, -158, 0, 154, -286, 590, -59, 0, 13, -90, -213, 50, 0, 112, -164, 168, 118, 0, 154, -147, 112, -505, 0, -280, -85, -488, 37, 0, -40, -22, 30, 150, 0, -324, 270, 289, 7, 0, -22, 396, -86, 244, 0, 1, 202, 134, 48, 0, 118, 257, -66, 241, 0, -821, -26, -67, -72, 0, 84, -196, 317, 10, 0, -86, -8, 376, -54, 0, -42, 101, 195, 119, 0, -519, -372, 152, -104, 0, -3, -22, -77, -59, 0, -54, 124, 2, -78, 0, 111, 72, -139, 432, 0, 164, -114, -168, -130, 0, -228, -144, 92, -82, 0, -232, 167, -50, -6, 0, -344, -130, 204, -24, 0, -275, -271, 95, -142, 0, -312, 106, -74, -35, 0, -438, -24, 334, -204, 0, -82, -404, -69, 210, 0, 524, 11, 90, -171, 0, 95, -96, 10, -4, 0, 60, 392, 185, 156, 0, -18, -74, -140, -228, 0, -70, 182, -34, -254, 0, 171, 23, -112, -575, 0, -124, 201, -140, 268, 0, -162, 96, -90, 136, 0, 201, -74, -70, -40, 0, 11, 364, 248, -38, 0, -5, -228, 512, -48, 0, -326, 32, -27, 13, 0, 246, -52, 328, 80, 0, 23, -152, -225, -300, 0, -148, 84, 196, -133, 0, -94, -334, 108, 122, 0, -239, -29, 0, 12, 0, -9, -2, -17, 136, 0, 404, 103, -121, 124, 0, -228, 371, -174, -12, 0, 24, -364, 15, -90, 0, -45, 87, 177, -100, 0, -174, -88, 232, -82, 0, 133, -221, -226, 266, 0, -42, 36, 326, 72, 0, -8, -389, 5, 271, 0, -156, 82, 8, -23, 0, -46, 262, -63, 354, 0, -99, -59, -475, -132, 0, -44, 4, -40, 0, 0, 190, 318, -110, -95, 0, -39, -109, -194, 89, 0, 36, -26, -12, -112, 0, -40, -72, -148, -213, 0, -38, -458, 562, -64, 0, 9, -24, -108, 7, 0, -184, 12, 31, -29, 0, -112, 252, 345, 596, 0, 43, -228, -1, 146, 0, 243, -108, 3, -132, 0, 98, -58, 334, -48, 0, 86, 318, 191, 72, 0, -14, 36, 32, -177, 0, 6, -59, 124, 168, 0, 256, -186, 136, 89, 0, 4, -26, -51, -89, 0, 202, 116, -96, -375, 0, -13, 238, 424, -184, 0, 65, -118, 112, -146, 0, -128, -52, -2, 456, 0, 359, -80, -300, -18, 0, -72, -94, -66, 192, 0, 45, -90, -137, -121, 0, 22, 81, 31, -67, 0, 32, -100, 116, 35, 0, 204, 212, -83, 345, 0, -280, 38, -160, 19, 0, 116, -210, -21, 62, 0, -356, -154, 0, 194, 0, 4, -285, -36, -7, 0, -571, 305, 60, -100, 0, 112, -98, 102, -19, 0, -14, 48, 94, -184, 0, 101, 158, 98, 236, 0, 4, 126, -104, -9, 0, 60, 238, 16, -251, 0, -10, -115, 210, -220, 0, -247, -5, -83, -172, 0, 48, -72, 56, 70, 0, -124, -212, -240, 431, 0, 108, 8, -424, 43, 0, 212, 68, 16, -5, 0, 254, -108, -12, -148, 0, -44, -10, 60, 44, 0, -282, -107, 21, 16, 0, 35, 196, -207, 36, 0, -78, -176, -10, -8, 0, 120, -25, -21, -32, 0, 464, 48, 200, 18, 0, 99, -384, -73, 180, 0, 26, -393, -6, 3, 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, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [1, 0, -1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 1, 0, 0, 1, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, -1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 1, 0, -1, 0, -1], [1, -1, -2, 1, 0, -1, 0, -1], [-2, 0, -2, 1, 1, -1, 0, -1], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, -1, 0, 1, 0, 0, 1, 1], [2, 1, 1, -1, 0, 2, 1, 0], [1, 0, 0, 0, 1, 2, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [3, -3, 1, 1, 0, 1, 0, 1], [0, -1, 1, 1, 0, 0, 1, 0], [1, -2, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, -1, 0, 1, -1, 0], [0, 0, -2, 1, 1, 0, -1, -1], [-1, 0, 1, -1, 0, 0, 0, 0], [0, 2, -1, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, -2, 0, 1, 1, 0], [3, -4, 0, 1, -2, -2, -1, 1], [-2, 0, -5, 2, 0, -1, -1, 0], [-2, 0, -2, -1, -1, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -3, -1, 0, -1, -1, -1], [0, 2, 1, -2, -2, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [-1, 1, -2, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -1, -1, 1, -1, 0, -1], [-2, 1, -1, 0, 0, -1, 0, 0], [-4, -1, 0, 1, 0, -1, 0, -2], [5, -3, -3, 1, -2, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 1, -3, -2, -1, 1], [0, 2, 0, 0, 0, 2, 0, 0], [4, -2, 3, 0, -2, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, -1, 1, 2, -1, 1], [-1, 5, -2, -2, 1, 1, 1, 0], [0, 0, -2, 0, 0, -1, -1, 0], [-2, -1, -2, -1, 2, 1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -1, 0, 1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [-2, -2, 7, -2, -2, 1, -1, 2], [0, 2, -3, 0, 0, -1, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0], [5, -3, 3, -1, 0, 1, 0, 1], [2, 2, -1, 0, 0, 1, -1, 0], [0, 0, 1, 0, 0, 0, 0, 1], [6, -5, 1, 4, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [6, -6, 5, 0, 0, 3, 1, 0], [-2, 2, -1, -1, 1, -2, 1, -1], [0, 1, -2, 3, 4, 1, 0, 0], [-2, -2, 4, 1, -1, 0, -1, 3], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 3, -3, -1, 1, 0, 1], [2, 3, 2, 0, 2, 1, 1, 0], [0, -1, 0, 1, 0, -1, 0, 0], [-2, 3, 3, 0, 2, 3, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 1, 0, 0, 0, 0], [-1, 1, 1, -1, 0, 1, 0, 1], [-3, -1, 0, -1, 2, 2, 1, -1], [0, -2, -3, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -3, 1, 2, 1, 0, -1], [0, 5, 1, -1, 2, 2, -1, 0], [2, 0, -1, -2, 0, -3, 1, 0], [-1, 1, 2, -1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 4, -1, 1, 1, 1, 0, 1], [-2, 4, -1, 0, -2, -3, -1, 2], [13, -7, 3, 3, -2, 1, 2, 1], [0, -2, 1, 2, 2, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, -1, -1, 1, 0, 1], [10, -5, 2, 3, 0, 1, 2, 4], [4, 0, 1, -2, 0, 3, -1, 2], [-6, 0, -2, -2, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [4, -1, -1, 2, -2, -3, 2, 0], [8, -2, 3, -1, -1, 0, 1, 1], [0, -1, 0, 0, 0, 0, 0, 0], [5, 3, -2, -1, 0, 0, 1, -3], [0, 0, 0, 0, 0, 0, 0, 0]]}