# Stored data for newform 5239.2.a.j, downloaded from the LMFDB on 14 May 2024.
{"label": "5239.2.a.j", "space_label": "5239.2.a", "level": 5239, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679894135, "dim": 8, "is_polredabs": true, "trace_hash": 1282370716797519368, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-29, 28, 54, -54, -24, 30, 0, -5, 1]], [5, [3, -90, -158, 225, 99, -192, 83, -15, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}-\\beta _{6}q^{3}+(2-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20956, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 41.833625618948794, "hecke_ring_index": 1, "level_radical": 403, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [5239, 1, [1861, 1522], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [13, 31], "conrey_indexes": [1], "field_disc": 52709256921, "field_disc_factorization": [[3, 1], [17569752307, 1]], "field_poly": [1, -1, -29, -31, 21, 19, -7, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.121", "prec": 17}, {"__RealLiteral__": 0, "data": "7.179", "prec": 17}, {"__RealLiteral__": 0, "data": "1.486", "prec": 17}, {"__RealLiteral__": 0, "data": "153.291", "prec": 24}, {"__RealLiteral__": 0, "data": "74.794", "prec": 20}, {"__RealLiteral__": 0, "data": "5528.061", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[13, 1], [31, -1]], "trace_display": [5, -3, 15, 4], "traces": [0, 8, 5, -3, 9, 15, 0, 4, 15, 9, 9, 5, -9, 0, 2, -2, 3, -11, 30, 9, 31, 16, -2, 0, -13, 19, 0, -9, -16, -12, -7, 8, 25, 14, -22, 7, 37, 9, -9, 0, 55, 25, -3, 7, 26, 45, -5, 17, -9, 0, 11, -10, 0, -15, -54, 7, -14, 7, 5, 15, -61, 11, 5, 21, 47, 0, 83, -18, -16, -15, 24, 7, 21, -24, 48, -17, 3, -49, 0, 33, 16, 20, -1, 13, 6, -1, -19, 18, 37, 23, 117, 0, 22, -3, 10, 43, -46, 17, -52, -51, 60, -16, -57, -14, 0, 83, -10, -35, -80, 22, -13, 21, -36, -34, 6, 18, 52, 0, 1, -15, -100, 49, 33, -24, 9, 66, 54, 6, -1, -1, 0, 17, 57, -32, -34, -51, 23, 31, -62, -23, -37, 8, 0, 0, 12, -9, -66, 47, 74, 42, -75, -52, 28, -39, 15, 15, 0, -23, 12, -12, 29, -21, 106, 20, -3, -18, -10, -11, -2, 0, -19, -36, -10, -51, 109, 10, 27, -53, -11, 0, 168, -20, 0, 37, 95, 15, 0, 3, 49, 10, -90, 46, -13, 40, 25, 0, -29, 48, -90, 30, 104, 50, 80, -73, -101, 74, 11, -39, 0, 17, -1, -27, 25, 80, 43, 49, -156, 4, -47, -38, 34, 0, 8, 16, -97, 146, -77, 42, -3, -34, -35, 19, 41, 21, 0, 25, -8, -43, -51, -4, -124, -28, 24, -20, -13, 62, -5, 0, 15, 39, 49, 70, 36, -26, -78, -112, -25, -37, -16, 26, 0, -13, 3, -14, 6, -16, 14, 13, -52, -92, -167, 6, 43, 0, -2, -39, -54, 10, -35, 9, -25, 34, 8, 13, -25, -13, 0, -14, -7, 5, -15, -90, 1, 100, 111, 39, 124, 75, 91, 0, -237, 70, 21, 143, 25, 46, -22, -18, -46, -1, 9, 6, 0, 17, -91, 51, 15, 109, -13, 101, 47, 1, -96, 37, 134, 0, 18, -146, -48, 80, 179, -86, -48, 26, -20, -35, -92, 2, 0, 3, -6, 5, -75, -16, 13, -84, -114, 109, 134, -37, 91, 0, 118, 25, -121, 46, -15, -29, -61, 12, 171, 21, -28, -59, 0, 12, 34, -32, 125, 76, 203, -37, -9, -61, 3, -144, 151, 0, 129, -60, -13, 61, 160, 12, 98, -134, 59, 73, 96, 26, 0, 78, -10, -4, 20, -46, -107, 25, 34, 77, 24, 42, 108, 0, -26, 104, 55, 79, -106, -23, -2, -97, 15, -29, -58, -28, 0, 41, 39, 33, 39, 48, 35, 10, 65, 55, 70, 20, -5, 0, 110, 1, -280, 12, 2, 17, -52, 101, -18, 45, -39, -21, 0, -65, -23, 40, 48, -15, 16, -42, 346, 32, -104, -27, -163, 0, 91, 31, -48, -115, 19, -12, -25, 16, 43, -2, 34, -79, 0, 29, 41, 56, -6, 11, -26, 108, 2, -26, 88, 7, -195, 0, -95, -47, 39, 41, -52, 11, -111, -37, -142, 46, -121, -91, 0, -37, 3, 32, 16, 10, 106, -84, -15, -15, -46, -24, 67, 0, -74, 135, -285, -69, -60, -59, -62, 14, -160, -73, -107, -64, 0, -5, -124, -1, -42, 210, 78, -11, 126, -12, 61, 23, -100, 0, 160, -40, -81, 0, -109, 22, -284, -42, 75, -60, -18, 0, 0, 28, -27, 92, -122, -1, 58, 12, 104, -17, -85, -26, 30, 0, -24, -138, 102, -54, 74, -48, -11, 12, -10, 31, 47, -74, 0, -98, 163, 60, -14, -25, 122, 126, 19, 37, -61, 82, 59, 0, 167, 3, 70, 9, -88, -83, 174, 34, -61, -14, 3, -32, 0, -77, -356, 56, 31, -43, 23, 23, 51, 20, 64, 6, 98, 0, 123, 3, -85, -84, -133, 103, 5, 76, 31, -183, -16, -2, 0, 142, 71, -95, -59, 9, 119, 39, 94, 16, -17, -26, -75, 0, 65, -56, -2, 24, -184, -39, -120, -57, -13, 68, 160, -103, 0, 16, 129, 6, -183, 89, -127, -28, -150, 56, 192, 55, -32, 0, 15, -40, 110, -18, -96, 8, -46, 42, -85, 0, -148, -180, 0, -170, 41, -96, 97, 49, -2, 12, -66, 60, 85, 100, -104, 0, -255, 144, -153, 43, -7, -113, 123, -4, -54, 169, -32, 80, 0, -123, 39, 123, -182, 76, -122, 47, -25, -121, -117, 0, -89, 0, -45, -119, 141, 21, 165, -151, -259, 165, -47, -41, -5, -30, 0, 90, -100, 79, -48, 115, 43, 121, 87, 43, 201, 100, 180, 0, -51, -152, -13, -93, -193, -167, -158, -33, -325, -65, 81, -178, 0, -156, 97, 122, 57, -44, 134, -17, 196, -91, 127, -9, 127, 0, 113, 122, 192, -101, 23, 71, 269, 19, 104, -47, -49, 71, 0, 60, 67, 127, -153, -64, -143, 60, 99, 13, -59, 52, -121, 0, 6, -148, 99, -71, -216, -93, -19, 66, -11, 28, 116, -25, 0, -3, -107, 170, 446, -64, -66, -57, 201, 130, -88, -129, -20, 0, 135, 58, -227, -25, -51, -80, 25, 56, -10, -2, -83, -115, 0, -2, 43, -144, 146, -9, 2, -2, 32, 80, 90, -16, 76, 0, 26, -84, 82, 35, 74, -27, 49, -13, 163, -120, -23, -3, 0, 26, 97, 170, -70, -60, -189, -134, -170, 59, -16, 6, 353, 0, -58, 89, -17, 28, -106, -33, -43, -71, -112, -84, -67, 1, 0, -118, -175, 19, -161, 29, -114, 6, -38, -61, -28, 42, 70, 0, -78, -12, 553, 104, -197, 93, -170, -98, -97, -109, -266, -4, 0, -7, 124, 44, -142, 53, -67, 99, -151, 40, 243, 111, 23, 0, 7, -32, 26, -27, 106, -47, -7, 123, 4, 151, -137, -180, 0, 90, 39, -72, -5, 29, 129, -91, 15, -44, -116, -98, 97, 0, -310, -4, 159, -60, 1, -80, 34, -11, -123, 54, 35, 8, 0, 9, -227, 123, -238, -138, 56, 79, 24, -19, -186, -107, -44, 0, -93, 29, -75, 24, -139, -35, 62, 140, -232, 92, -113, -54, 0, -108, -179, -110, 25, 53, -9, 83, 83, -40, 60, -107, 169, 0, -102, 31, 32, 146, -86, -76, -68, 0, 152, -260, 141, -184, 0, -213, -18, 31, 32, -194, -306, 69, 29, 14, -147, 197, -9, 0, -110, 92, -15, 34, -402, -104, 121, -122, -17, -18, 40, 30, 0, 83, -50, 61, -295, 31, -150, -25, -38, -11, -3, 66, 109, 0, -22, -53, 151, -40, 48, 88, 79, 198, 49, -39, -28, 145, 0, 5, 172, 76, 146, -189, -135, 11, -58, 153, -278, 39, -22, 0, -598, 103, -74, 17, 282, 7, 22, -39, -97, -78, -131, 22, 0, 65, 115, -206, -9, -63, 190, -18, -117, 6, 10, 123, 107, 0, -213, 45, 209, 77, -225, -10, -67, -74, -136, 115, 37, 35, 0, 2, -276, 187, -165, 85, 139, 320, -65, 16, 165, -30, -107, 0, -54, 168, -26, -6, 9, -164, -44, -5, -27, -35, -69, -200, 0, -9, -160, 9, 48, 214, -116, 35, 33, 6, -19, 40, -31, 0, 126, 12, -143, 29, -182, -18, -93, 13, 27, -109, -32, -10, 0, -205, 324, 148, -205, -32, 78, -50, -9, 112, 48, 56, -98, 0, 115, 27, 152, -124, 40, -85, -174, 165, -47, -64, -23, -49, 0, -39, -233, 10, -477, 7, 107, -49, 135, -40, -106, 80, 49, 0, -217, -49, 149, -41, -102, -205, 39, 46, -45, 10, 98, 73, 0, -60, 359, 178, -171, -183, -137, 7, 17, -61, -27, 104, 36, 0, -94, -7, 85, 22, 55, 120, -241, -96, 36, 117, 251, -153, 0, 79, 188, -318, -6, 171, 125, 34, 74, -90, -5, 22, 91, 0, 58, 163, 113, -124, -76, -81, 106, -49, -186, 25, -187, -78, 0, -282, 315, -88, -83, -127, -11, 194, 104, 144, -207, -111, -130, 0, 34, 106, -245, 67, -86, -31, -155, 116, 290, 68, -139, -140, 0, 55, -3, 77, 264, -132, 39, -73, -311, 18, -16, 136, 7, 0, -37, -29, -130, 82, 130, 11, 181, 108, -50, 173, -81, -12, 0, 150, 71, 142, 26, -72, 199, 7, 108, 191, -183, -22, -239, 0, -178, -48, -28, -52, -45, -293, 24, -11, -127, 136, -428, 79, 0, -42, -206, 163, 24, 136, 71, -68, 152, -11, 242, 48, 26, 0, 147, -53, -46, 47, 75, 118, 84, 13, 211, -155, -176, 128, 0, 28, -268, -125, 163, 284, -304, 78, 64, 33, 141, -238, -388, 0, 238, 2, 37, 45, -123, 168, 239, 66, 21, 107, 59, -184, 0, 131, 237, 43, -71, -22, -26, 110, -180, -284, -48, 18, 40, 0, 33, -143, -84, 83, -177, -155, -277, -69, -5, -86, -65, 63, 0, -54, 64, -90, -345, -70, 316, -34, -130, 126, 124, -235, 139, 0, -134, -51, 336, 68, -161, -194, -217, 78, 143, 23, -20, -236, 0, 17, 20, 85, -5, 127, 168, -354, -227, 215, 168, 86, 22, 0, 394, -33, 85, 131, 30, 143, 337, -14, 61, -109, 154, 80, 0, -146, 16, 339, -76, -66, -9, -97, 101, 157, -148, -2, -246, 0, -405, 41, -95, -101, -639, -14, -2, -57, 5, 160, -55, -126, 0, -61, 157, -61, -8, -248, 1, 323, 42, -103, 91, 0, -99, 0, 30, 52, 201, 138, 54, -186, 83, 11, 91, 188, 148, -6, 0, -16, 241, 36, 117, -108, -67, -109, 2, 42, 15, -221, 6, 0, 446, -97, 11, 97, 82, 145, 220, 156, -35, -19, -243, -93, 0, 173, 224, 143, -5, -55, 48, -72, -171, 116, -282, 31, -170, 0, -137, 59, 221, 83, 130, -107, -41, -10, 134, 92, -222, 315, 0, 369, -16, 153, -243, 165, 161, -183, -82, 369, -56, -43, -209, 0, -66, -42, 28, -128, 26, -197, -164, -5, 42, 71, -299, 59, 0, -148, -53, 91, 140, -275, 215, -56, 605, -176, 173, -157, -312, 0, -59, 86, 78, -12, 212, 173, 11, 18, -1, -419, 133, -198, 0, -21, 126, 110, -125, -15, -370, 193, 313, 68, 76, -103, 310, 0, -84, -204, 1, -320, 120, -135, -90, -226, -174, 16, -101, 123, 0, 322, -70, 114, 305, 87, 41, 186, 26, 124, -54, -82, 212, 0, 39, 97, -330, 1, 53, 59, -69, -84, -135, 22, 203, 73, 0, 34, -160, 8, -20, 89, 50, 22, -97, -1, 169, -1, 145, 0, 45, 7, 116, 67, 143, 158, -163, -118, 244, 111, 9, 5, 0, 14, 171, 75, 51, -33, 27, -129, -86, -230, -244, 88, -119, 0, -277, -44, -219, 51, 39, 212, -14, 27, 117, 125, 431, -102, 0, -70, -101, -71, 140, -125, 31, -110, 119, 134, -137, 35, 76, 0, 108, -156, 101, -31, 211, -95, 0, 122, -202, 47, 128, 7, 0, -90, -240, -217, -341, 84, -65, 94, -216, 96, -56, 36, -62, 0, -1, -23, -70, -196, 165, 64, 168, -28, 103, 94, -88, 124, 0, 75, -170, 25, 5, -149, 705, 40, 209, -264, -216, 143, 299, 0, -320, 226, 14, -124, -21, -151, -153, 18, -321, 115, -89, 234, 0, 32, -139, 36, -7, 139, 265, 106, -120, 15, 123, 247, -161, 0, 33, -135, -172, 42, 63, 5, 278, -7, 239, 36, -161, 332, 0, -29, -204, 103, 436, -66, 20, 178, -67, -112, -9, -9, 46, 0, -61, 177, -249, -33, 59, -158, 199, -39, -150, 206, -168, -102, 0, 263, 177, -412, 103, 113, -359, 66, 156, 4, 185, 66, 239, 0, -204, -345, 83, 50, 453, 11, -391, 171, -236, -67, 310, -112, 0, -80, -121, 60, 90, -86, 217, 194, -7, 125, 124, 98, 366, 0, -18, 153, 19, 106, -23, -10, 1, 47, 353, -18, 5, -72, 0, -249, 41, -260, -446, 60, 65, -46, -189, -158, -23, 450, 77, 0, 49, -82, 268, 55, -97, 44, -295, 155, -164, 68, 1, -42, 0, 139, -74, 21, 92, 288, -307, 170, -198, 77, -135, 162, 101, 0, -10, 46, -101, 89, -243, -98, 174, 3, -201, 74, -1, -309, 0, 276, -150, 20, -427, -29, -108, 234, 47, -79, 71, 72, -15, 0, 302, 138, 221, -24, -49, 236, 81, 5, -327, 128, 56, -79, 0, -227, -134, 61, 31, 242, 16, 78, 346, 57, -97, 15, 123, 0, -25, 222, -275, -37, -107, -32, -356, 172, 89, 335, -112, 26, 0, -98, 272, 33, -167, 41, 20, -137, 162, -41, 15, -126, -125, 0, -61, -197, -27, 110, 83, -184, -192, 176, 99, -94, 82, 23, 0, -262, -348, -173, -26, -103, 137, -142, 184, -101, -479, -81, -91, 0, 383, -47, -85, 88, -82, -5, -30, -178, 72, -18, 156, 90, 0, 13, 535, -223, 17, 158, -172, 61, -433, -227, -72, -126, -211, 0, -123, 166, -71, -76, 132, -69, 146, 44, 277, -53, -24, 19, 0, 31, -16, 136, 162, -32, 189, -205, -227, -93, -48, 117, 454, 0, 40, 96, 92, 59, 145, 109, 32, -10, 178, 209, 150, -346, 0, -78, -203, 128, 159, -56, 118, -15, 103, -126, -314, 128, -192, 0, 232, -139, -199, 71, 580, 288, -443, -30, 101, -113, 113, 172, 0, 54, -866, -80, 125, 82, 50, -49, 204, 40, 421, -135, 24, 0, -58, -62, 84, 2, -187, 116, -227, 45, 128, 131, 361, -257, 0, 296, 90, -252, 108, 199, -152, 121, -61, -347, 23, 118, 329, 0, -207, 55, -452, 7, -178, 29, 288, -156, 68, 100, 106, 183, 0, -154, -177, -108, -128, -137, 138, 129, -212, 248, -227, -171, 465, 0, 134, 36, 27, 37, -63, -40, 140, 59, 21, -31, 340, 182, 0, 255, 347, -47, 34, -75, -230, -99, 46, -116, -165, -104, 185, 0, 855, 114, -136, 218, -226, 120, 178, 16, 72, -36, -244, 204, 0, -24, 59, -167, 6, -30, 74, 4, -541, 9, -67, 20, -364, 0, -25, -52, -10, 153, 224, 86, -47, -30, -106, 158, -315, 84, 0, -93, -304, -96, -67, 120, 48, -443, -4, -59, 152, 284, -64, 0, -142, 22, -64, -31, -11, -244, 45, -135, -154, -266, -314, 43, 0, -103, 118, -184, -171, -132, -172, 35, -147, -71, -78, -17, -154, 0, -65, 138, -177, 71, -109, 98, -172, -309, -44, -196, -26, 72, 0, 147, 36, -189, 313, 82, 157, -137, -196, -191, 18, 47, 92, 0, 139, 148, 3, -299, 245, 83, 311, 71, 270, 77, -245, -222, 0, 221, 141, -17, -63, -248, 240, 50, -117, 118, 166, -128, -396, 0, -95, -20, 369, -21, 116, 99, 53, -49, -269, -131, 488, 201, 0, 0, -76, 184, -70, 91, -426, -170, -603, -40, 122, 382, 245, 0, -105, -223, 249, -270, -245, 74, -219, -15, -32, -153, 257, 272, 0, 129, -2, -153, 243, -102, 145, 98, 127, 124, 260, -32, -574, 0, 22, 20, -342, 23, 12, 154, 176, 239, -72, 9, 15, 109, 0, -343, -60, -46, 528, 33, -334, 54, -23, -369, -399, 182, -211, 0, 420, -169, -412, 94, 178, 130, -233, -273, 396, -66, 216, 127, 0, -13, -183, -59, 7, 7, -13, -47, -322, 32, 16, 16, 258, 0, -339, 241, -288, 150, 121, 161, -19, -48, 25, 371, -216, 176, 0, -44, -245, -93, 362, 298, -763, 33, 90, -201, -99, 41, 19, 0, -179, 20, 25, -79, 63, 124, -118, -195, 132, 135, -135, 155, 0, 137, 240, -53, 194, 24, 257, 261, 55, -76, -26, -177, 139, 0, 283, -204, -87, 90, -296, -54, -1, -190, -103, 230, 41, -239, 0, 46, -668, -164, 643, -150, -69, -258, -37, -106, 198, 68, -200, 0, 295, -195, 25, -20, 71, 114, -231, -53, -263, -295, -160, 13, 0, 123, 70, -6, -171, -38, -490, 186, -31, 141, -90, -123, 160, 0, -270, 19, -161, 208, 190, -136, -16, -21, -17, -67, -56, -144, 0, 304, 228, -7, 6, -16, 64, 181, 208, 139, -455, -53, 86, 0, 165, -74, -301, 113, 150, -88, -5, 255, 149, 161, -63, 218, 0, 36, 10, -233, 206, -171, 0, -210, 171, -1, -1, 327, 64, 0, 498, 363, 162, 338, -124, 157, 383, -6, -50, -127, 257, 226, 0, -173, -206, -38, 49, -40, -1, 23, -309, -7, 22, 361, 238, 0, -19, 31, 173, 124, 797, -60, -126, -11, -185, 62, -279, 120, 0, 285, -383, 92, -77, -226, -286, -2, -119, 206, 48, 125, -291, 0, -171, 209, -80, 98, -11, 18, -104, -78, -769, -95, 44, -168, 0, -28, 227, -38, -230, 28, 455, -79, -62, 62, 1, -198, -130, 0, -136, 116, 89, -99, -296, -97, 308, 41, 513, -91, 37, 44, 0, -15, 111, -266, -275, 92, -83, 357, 18, -105, 209, 97, 290, 0, 154, 444, -98, -27, 267, -27, -464, 167, -131, 128, 263, -39, 0, -157, -93, 23, 68, 138, 178, -83, 186, -46, 174, 11, -454, 0, 324, 164, 122, -81, -115, -195, 190, 177, -235, 47, -458, -70, 0, 194, 250, -61, -10, 45, 126, -88, 117, 47, -174, -138, 138, 0, 627, 17, -212, 60, 171, 108, 441, -228, 305, 42, -325, -6, 0, -199, 198, -55, 30, 200, 194, -157, 270, 2, 144, -97, 98, 0, 19, 181, -244, 2, -559, -55, 99, -277, -104, -124, 46, -179, 0, 117, 145, 231, -127, 118, -28, -26, 68, 128, -288, 102, -256, 0, -68, 256, 168, -271, 22, 278, 60, -21, 180, -242, -84, 113, 0, -34, -295, -122, -152, -182, -37, -371, -446, -261, 479, 134, 463, 0, 120, 90, -266, 7, 393, -144, 16, 135, -124, -3, 14, -14, 0, -366, 125, -393, 185, 19, 254, -29, -19, 316, -172, -166, -276, 0, -366, -81, 62, 171, 542, 188, 37, 60, -89, 66, -141, 91, 0, 172, 10, -41, 444, 338, 166, -168, 42, -51, 279, 84, 207, 0, 339, -63, -442, -111, 341, 20, 345, -127, 338, -141, 166, 49, 0, 215, 379, -66, -66, -134, 13, 43, 96, 72, -84, -207, -210, 0, 393, 18, -301, -252, 128, 281, -65, -269, 434, -32, 169, -24, 0, 54, -226, -290, 27, 180, 90, 98, -312, 45, -225, -5, -46, 0, -326, -497, 4, 207, 62, 105, -233, -279, 12, 66, -224, 24, 0, 321, -348, -29, -69, 161, 83, 386, -277, 62, -843], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "403.2.a.d", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [2, -1, 1, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, -1, -2, 0], [0, 0, -1, -1, -1, 0, 0, 0], [3, -1, 2, -1, 0, 0, 0, 0], [1, -1, 0, 0, -1, 1, 1, 0], [2, -3, 0, -1, -1, 0, 1, -1], [2, 0, 1, 1, 1, -1, -1, -1], [0, 1, -1, 1, 0, -2, -3, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 2, 0, 1, 0, 0], [0, 1, -2, 0, -1, -1, -3, 1], [2, -3, 2, -1, 1, 0, 0, 0], [-2, 0, 1, -1, 1, 1, 1, -1], [3, -2, 0, -1, -2, 2, 3, -1], [1, 1, 2, 1, 2, 2, -1, 1], [5, -3, 2, 0, 0, 1, 2, -1], [2, 1, 1, 1, 0, 2, -1, 0], [2, -2, 1, -1, 1, -1, -3, 0], [0, 0, 2, -1, 1, 1, 0, 1], [-1, 2, -1, 1, 1, -2, -4, 3], [2, 0, 3, 0, 0, 4, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, -2, 2, -1, -2, -2, 0], [-3, 0, -2, 0, -1, 0, 1, -1], [1, 0, 2, 2, 0, -1, -2, 1], [1, 5, -2, 5, 0, -3, -7, 2], [1, 0, 0, 0, 0, 0, 0, 0], [5, -2, 2, 1, 2, -1, 0, 0], [2, -3, -2, 0, -1, -1, 1, 1], [-4, 0, 1, -1, 1, 1, 3, -2], [0, -1, -2, -3, -2, 1, -1, 0], [3, -4, 1, -2, -1, 4, 6, -3], [3, -3, 0, -2, -1, -2, 0, -2], [0, -2, -2, -2, -1, -4, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [7, -3, 4, -2, 1, 3, 3, 0], [2, 1, 0, 2, 1, 2, 1, -1], [0, -2, -3, -1, -3, -1, 0, -2], [0, 0, -1, -2, -2, 0, 2, -3], [7, 0, 3, 1, 1, -2, -5, 3], [6, -5, 1, -1, -2, 3, 4, -3], [1, -2, 2, -1, 1, -2, 1, 0], [3, 0, 0, -3, -3, -2, -1, 2], [0, 4, 0, 2, 2, -4, -4, 3], [0, 3, 2, 1, 0, 2, -2, 1], [1, -6, -1, -4, -4, 1, 6, -4], [-4, 3, -2, 0, 1, -1, 1, 3], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 1, -1, 0, -1, 1, -2], [-8, 5, -5, 2, -1, -1, -6, 2], [3, 2, 1, 5, 1, -2, -2, 1], [-5, 2, -2, -3, -1, 1, 2, -1], [0, -1, -1, -4, -1, -1, 1, 0], [4, -1, 1, -2, -1, -3, -5, 2], [0, 1, 1, 1, 2, 3, 1, 2], [-5, 6, -5, 4, 0, -7, -11, 3], [1, -1, -1, 2, 1, 2, 0, -2], [1, -1, 0, 0, 0, 0, 0, 0], [4, -1, -1, 2, -1, 0, -2, 0], [7, -1, 0, -1, 0, -2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [11, -1, 2, 1, 0, 1, 1, 2], [-2, 1, -1, 0, -1, -1, -1, -1], [-5, 0, -1, -1, -1, 2, 5, -1], [-3, 2, 1, -2, 2, -1, 0, 2], [4, 3, 1, 6, 0, 1, -1, -1], [1, 0, 1, 0, 2, 2, -2, -1], [0, -6, 3, -3, 1, 6, 10, -5], [-3, 2, 3, 0, 0, 1, 1, 0], [10, -3, 7, 2, 3, 3, -2, 0], [-3, 5, -7, 0, -3, -4, -7, 3], [3, 0, 2, 2, 1, -2, -2, 1], [-6, -3, -4, -2, -3, -3, 2, -3], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -2, -2, 0, -4, 0, 1], [3, -8, 2, -5, 0, 0, 5, -1], [3, -6, 1, -2, 0, 2, 4, -4], [-3, -3, -5, -3, -3, 1, 4, -3], [1, 0, -1, -2, 2, -1, -1, -1], [0, 1, -1, 2, -1, 1, 1, -1], [-3, 0, 1, -3, 1, 2, 4, 1], [-5, -1, 1, 1, 0, 7, 4, -3], [4, -5, -1, -1, -2, -2, 2, -1], [11, -1, 2, 3, 0, -7, -6, 5], [3, 3, -1, 4, -1, 0, -2, 2], [14, -11, 4, -4, -4, 9, 11, -6], [0, 0, 0, 0, 0, 0, 0, 0], [6, -4, 3, 0, 2, -2, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [6, -2, 5, 4, 2, 0, -4, 4], [4, 6, 5, 1, 3, 4, -2, 3], [-3, 0, 0, 0, 2, -5, -4, 1], [3, 0, 2, 2, 0, 0, 1, 2], [-6, 0, -4, -1, -3, -3, -2, -1], [-6, 3, 1, 0, -1, 1, -3, 0], [5, -6, 2, -1, -1, 6, 11, -5]]}