# Stored data for newform 6026.2.a.g, downloaded from the LMFDB on 25 April 2024.
{"label": "6026.2.a.g", "space_label": "6026.2.a", "level": 6026, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797783434, "dim": 21, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-14, 1, 1439, -162, -14773, 14674, 34431, -44885, -35664, 57285, 19523, -39200, -5966, 15586, 1012, -3661, -88, 494, 3, -35, 0, 1]], [5, [-1834, 4689, 23928, -49501, -137274, 181034, 421051, -247095, -663107, 67677, 518881, 107778, -183069, -79704, 21616, 17587, 679, -1485, -277, 31, 13, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24104, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 48.11785225802356, "level_radical": 6026, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6026, 1, [787, 4325], [1, 1]], "inner_twist_count": 1, "level_primes": [2, 23, 131], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 21, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [23, 1], [131, -1]], "trace_display": [21, 0, -13, -18], "traces": [21, 21, 0, 21, -13, 0, -18, 21, 7, -13, -4, 0, -4, -18, -16, 21, -12, 7, -18, -13, -24, -4, -21, 0, 2, -4, -9, -18, -16, -16, -7, 21, -15, -12, 0, 7, -44, -18, -14, -13, -23, -24, -18, -4, -36, -21, 2, 0, -13, 2, -26, -4, -39, -9, -32, -18, -22, -16, -27, -16, -34, -7, -28, 21, -25, -15, -19, -12, 0, 0, -24, 7, -8, -44, 50, -18, -16, -14, -27, -13, 33, -23, 7, -24, -22, -18, -15, -4, -12, -36, -20, -21, -43, 2, -14, 0, -52, -13, -30, 2, -56, -26, -32, -4, 10, -39, -38, -9, -69, -32, -73, -18, -59, -22, 13, -16, -4, -27, 7, -16, -55, -34, -16, -7, -27, -28, -30, 21, -50, -25, 21, -15, -4, -19, -43, -12, -43, 0, -27, 0, -44, -24, -11, 7, -31, -8, 51, -44, -36, 50, -47, -18, -56, -16, 31, -14, 1, -27, -39, -13, 18, 33, 25, -23, -4, 7, 13, -24, -37, -22, 11, -18, -16, -15, -37, -4, 4, -12, -23, -36, 18, -20, -5, -21, -2, -43, 1, 2, -65, -14, -90, 0, -44, -52, 20, -13, -47, -30, -74, 2, 62, -56, 5, -26, 18, -32, -7, -4, -22, 10, -3, -39, 26, -38, 47, -9, -23, -69, 60, -32, -86, -73, 15, -18, -40, -59, 9, -22, -83, 13, 105, -16, -24, -4, -22, -27, -85, 7, 19, -16, -56, -55, 23, -34, -35, -16, -39, -7, -120, -27, 1, -28, 4, -30, 68, 21, 10, -50, 19, -25, -46, 21, -29, -15, 28, -4, 57, -19, 66, -43, -73, -12, 14, -43, 23, 0, -25, -27, 30, 0, -37, -44, -21, -24, 8, -11, 33, 7, -49, -31, -116, -8, 28, 51, -75, -44, -1, -36, 4, 50, 26, -47, 1, -18, 39, -56, -8, -16, 10, 31, -10, -14, -63, 1, 109, -27, -9, -39, -66, -13, -93, 18, 64, 33, -4, 25, -18, -23, 8, -4, -17, 7, -45, 13, 50, -24, -48, -37, 97, -22, -47, 11, -9, -18, 16, -16, 73, -15, -28, -37, -25, -4, -8, 4, 41, -12, 90, -23, -57, -36, 5, 18, -26, -20, 19, -5, 29, -21, -11, -2, 62, -43, -120, 1, -17, 2, 29, -65, 7, -14, 41, -90, -34, 0, 115, -44, -5, -52, -86, 20, 12, -13, 0, -47, 110, -30, 34, -74, 51, 2, 10, 62, 66, -56, -9, 5, 86, -26, -94, 18, 94, -32, -20, -7, -25, -4, 12, -22, 81, 10, -117, -3, 25, -39, 40, 26, 112, -38, -60, 47, 124, -9, -25, -23, 82, -69, 18, 60, 55, -32, -51, -86, 32, -73, 99, 15, 45, -18, 117, -40, 42, -59, 115, 9, 57, -22, 7, -83, 49, 13, 119, 105, -16, -16, 90, -24, 27, -4, 19, -22, 79, -27, 4, -85, -41, 7, 54, 19, 43, -16, 63, -56, 24, -55, 1, 23, 37, -34, 45, -35, 31, -16, 97, -39, 80, -7, -52, -120, -89, -27, -34, 1, 37, -28, 4, 4, 158, -30, -42, 68, -62, 21, -71, 10, -8, -50, 79, 19, -24, -25, -15, -46, 61, 21, 25, -29, -6, -15, 21, 28, 54, -4, -105, 57, 102, -19, 150, 66, 35, -43, 6, -73, 82, -12, 105, 14, 57, -43, 131, 23, -14, 0, -49, -25, 214, -27, -8, 30, -91, 0, 71, -37, 50, -44, 21, -21, 43, -24, -65, 8, -57, -11, 20, 33, -2, 7, 35, -49, 66, -31, 164, -116, -25, -8, 197, 28, 46, 51, -116, -75, 112, -44, -92, -1, 33, -36, 29, 4, 29, 50, 45, 26, -43, -47, 37, 1, 7, -18, 116, 39, 28, -56, -80, -8, 32, -16, -34, 10, 4, 31, 9, -10, 23, -14, -17, -63, 108, 1, 44, 109, -83, -27, 252, -9, 8, -39, 103, -66, -9, -13, -12, -93, 100, 18, -8, 64, -34, 33, -3, -4, -78, 25, -53, -18, -13, -23, 117, 8, -88, -4, 39, -17, -58, 7, 113, -45, 16, 13, -12, 50, 52, -24, 89, -48, 128, -37, -66, 97, -33, -22, 140, -47, 255, 11, -7, -9, 76, -18, 95, 16, 45, -16, 133, 73, -104, -15, -86, -28, 72, -37, -68, -25, 152, -4, -20, -8, 183, 4, -15, 41, 130, -12, 7, 90, 34, -23, 45, -57, 275, -36, -49, 5, 100, 18, 90, -26, 94, -20, 106, 19, 58, -5, 41, 29, 113, -21, -124, -11, -3, -2, 9, 62, -48, -43, 27, -120, 111, 1, 47, -17, -86, 2, 116, 29, 134, -65, -25, 7, 15, -14, 4, 41, 112, -90, 92, -34, 126, 0, -48, 115, 156, -44, -176, -5, 172, -52, 90, -86, 121, 20, -80, 12, 68, -13, -15, 0, -130, -47, 18, 110, 37, -30, -54, 34, 231, -74, 38, 51, -10, 2, -156, 10, 90, 62, 0, 66, 76, -56, 63, -9, 105, 5, -49, 86, 31, -26, 105, -94, 50, 18, 153, 94, -85, -32, 75, -20, 36, -7, -99, -25, 160, -4, 18, 12, -98, -22, -100, 81, 22, 10, 11, -117, 12, -3, -65, 25, 24, -39, 58, 40, 44, 26, 24, 112, 60, -38, 112, -60, -157, 47, 6, 124, 77, -9, -125, -25, 122, -23, -104, 82, -137, -69, 134, 18, 61, 60, -212, 55, -199, -32, -75, -51, -30, -86, 205, 32, 84, -73, 38, 99, 41, 15, -147, 45, 100, -18, 14, 117, 34, -40, -24, 42, 76, -59, -56, 115, 59, 9, 2, 57, -130, -22, 6, 7, -181, -83, -18, 49, -74, 13, 1, 119, 136, 105, -206, -16, -100, -16, -28, 90, 18, -24, 105, 27, 81, -4, -4, 19, -78, -22, -62, 79, 23, -27, 259, 4, 97, -85, 0, -41, 36, 7, -58, 54, 152, 19, -85, 43, 161, -16, -92, 63, 89, -56, 24, 24, -87, -55, 63, 1, -82, 23, -119, 37, -151, -34, 99, 45, -112, -35, -81, 31, 31, -16, 12, 97, 254, -39, 18, 80, 7, -7, -23, -52, 180, -120, 121, -89, 104, -27, -5, -34, -15, 1, 133, 37, -23, -28, -185, 4, 148, 4, 3, 158, 70, -30, -74, -42, -137, 68, -49, -62, 39, 21, 144, -71, 31, 10, 173, -8, -57, -50, -100, 79, 36, 19, 8, -24, -38, -25, 157, -15, 253, -46, -2, 61, -72, 21, -154, 25, 13, -29, -213, -6, 60, -15, 60, 21, 127, 28, -32, 54, -176, -4, -87, -105, 238, 57, 71, 102, 97, -19, -23, 150, -45, 66, 96, 35, 198, -43, -2, 6, 130, -73, 29, 82, -63, -12, -130, 105, -19, 14, -45, 57, -57, -43, 44, 131, -202, 23, 6, -14, 59, 0, 59, -49, 42, -25, -92, 214, -93, -27, -65, -8, 213, 30, -26, -91, 50, 0, -36, 71, 86, -37, 164, 50, 13, -44, -193, 21, 127, -21, 139, 43, -76, -24, 11, -65, 130, 8, -46, -57, 124, -11, -20, 20, 15, 33, -105, -2, 174, 7, -161, 35, -131, -49, -98, 66, -130, -31, 120, 164, 157, -116, 7, -25, 238, -8, -110, 197, 162, 28, 26, 46, 1, 51, -96, -116, 7, -75, 15, 112, -134, -44, 209, -92, -2, -1, -15, 33, -172, -36, 111, 29, 121, 4, 60, 29, 124, 50, -165, 45, -61, 26, 81, -43, 25, -47, -88, 37, 30, 1, 137, 7, -114, -18, 144, 116, 39, 39, 144, 28, 107, -56, 32, -80, 80, -8, 74, 32, 280, -16, -219, -34, 357, 10, -110, 4, 35, 31, -83, 9, -108, -10, -13, 23, -45, -14, -145, -17, 55, -63, 38, 108, 36, 1, 156, 44, 93, 109, -101, -83, 177, -27, 32, 252, 30, -9, -161, 8, 28, -39, -2, 103, 26, -66, -84, -9, -106, -13, 190, -12, 141, -93, -136, 100, 179, 18, -3, -8, 68, 64, -220, -34, 126, 33, -153, -3, 139, -4, -3, -78, 37, 25, 124, -53, 52, -18, -204, -13, 22, -23, -89, 117, -95, 8, 14, -88, 72, -4, 95, 39, 322, -17, -220, -58, 236, 7, -136, 113, 174, -45, 51, 16, 114, 13, -127, -12, -143, 50, -111, 52, 90, -24, -91, 89, 63, -48, 103, 128, 76, -37, 67, -66, 340, 97, 27, -33, -305, -22, -226, 140, 207, -47, -47, 255, -98, 11, -21, -7, 329, -9, 159, 76, -174, -18, 10, 95, 120, 16, -120, 45, -105, -16, 97, 133, -273, 73, 6, -104, 139, -15, 31, -86, 160, -28, 248, 72, -429, -37, -22, -68, 34, -25, 50, 152, 80, -4, 42, -20, -46, -8, 327, 183, 196, 4, -52, -15, 290, 41, -178, 130, -39, -12, 118, 7, 187, 90, -61, 34, -188, -23, 35, 45, 66, -57, 54, 275, 99, -36, -4, -49, 227, 5, -59, 100, -155, 18, 28, 90, 135, -26, -225, 94, 279, -20, -4, 106, -40, 19, -80, 58, -96, -5, 164, 41, 215, 29, 124, 113, -186, -21, 207, -124, 190, -11, -240, -3, -42, -2, 132, 9, 110, 62, 64, -48, -108, -43, 48, 27, 41, -120, 98, 111, 25, 1, 125, 47, -2, -17, 53, -86, 134, 2, 63, 116, -91, 29, 39, 134, 349, -65, -144, -25, 136, 7, 179, 15, -26, -14, 121, 4, -34, 41, -273, 112, -90, -90, 96, 92, -192, -34, -185, 126, 74, 0, -58, -48, 129, 115, 19, 156, -167, -44, 185, -176, 184, -5, -218, 172, 116, -52, 179, 90, -114, -86, 136, 121, -158, 20, 5, -80, 43, 12, 95, 68, 157, -13, -267, -15, -94, 0, 37, -130, 104, -47, -118, 18, -308, 110, 285, 37, -163, -30, 134, -54, 0, 34, -33, 231, -28, -74, 157, 38, 290, 51, -181, -10, 112, 2, -46, -156, 339, 10, -56, 90, 3, 62, 4, 0, 174, 66, 166, 76, -163, -56, -235, 63, 164, -9, -40, 105, -194, 5, -114, -49, 228, 86, 33, 31, -25, -26, 24, 105, 59, -94, -224, 50, -3, 18, 9, 153, 103, 94, -14, -85, -81, -32, 183, 75, -334, -20, -11, 36, -45, -7, 49, -99, 41, -25, -194, 160, -285, -4, 110, 18, 102, 12, -280, -98, -33, -22, 6, -100, 78, 81, 53, 22, 8, 10, -166, 11, -74, -117, -30, 12, 7, -3, 43, -65, 219, 25, 44, 24, 138, -39, 2, 58, -164, 40, -93, 44, -4, 26, -162, 24, -228, 112, -365, 60, -141, -38, -193, 112, 249, -60, 20, -157, 178, 47, -20, 6, 30, 124, -50, 77, -179, -9, -46, -125, 232, -25, -37, 122, -20, -23, -13, -104, -57, 82, 160, -137, 24, -69, -173, 134, -28, 18, -153, 61, 28, 60, -83, -212, 233, 55, 33, -199, -61, -32, -193, -75, -38, -51, 73, -30, 168, -86, -35, 205, 16, 32, -245, 84, 77, -73, -119, 38, -160, 99, 81, 41, 97, 15, 59, -147, 130, 45, -325, 100, -9, -18, -230, 14, -199, 117, -54, 34, -113, -40, -376, -24, 169, 42, -115, 76, 240, -59, -254, -56, 351, 115, 25, 59, 79, 9, 27, 2, -20, 57, -354, -130, 240, -22, 54, 6, 145, 7, 4, -181, -162, -83, 130, -18, -94, 49, 71, -74, -12, 13, -20, 1, 145, 119, -185, 136, -27, 105, -325, -206, 189, -16, 2, -100, 58, -16, 287, -28, -44, 90, 30, 18, -33, -24, 40, 105, -33, 27, 111, 81, -85, -4, 74, -4, -43, 19, -81, -78, 91, -22, 8, -62, 40, 79, -266, 23, -36, -27, -59, 259, -372, 4, -386, 97, 143, -85, -81, 0, -173, -41, -89, 36, 180, 7, -258, -58, 149, 54, -7, 152, 55, 19, -219, -85, -27, 43, -106, 161, -95, -16, 27, -92, -136, 63, 18, 89, -264, -56, -51, 24, -14, 24, 34, -87, 50, -55, -51, 63, -532, 1, 14, -82, 5, 23, -132, -119, -87, 37, -69, -151, -63, -34, 163, 99, 22, 45, 77, -112, -185, -35, -3, -81, 14, 31, -16, 31, 202, -16, -334, 12, 225, 97, -309, 254, -382, -39, 52, 18, 128, 80, -43, 7, 37, -7, -90, -23, 95, -52, -372, 180, 112, -120, -34, 121, 87, -89, -49, 104, 31, -27, 15, -5, 94, -34, -156, -15, 299, 1, -88, 133, -134, 37, -9, -23, -331, -28, 315, -185, -292, 4, 122, 148, 143, 4, -187, 3, 14, 158, -294, 70, -84, -30, 157, -74, 147, -42, 129, -137, -28, 68, 133, -49, -2, -62, 265, 39, 12, 21, -272, 144, 48, -71, -11, 31, 5, 10, -98, 173, -108, -8, 41, -57, 161, -50, -186, -100, 78, 79, 73, 36, -150, 19, -117, 8, -77, -24, -302, -38, -207, -25, 66, 157, -44, -15, 89, 253, -214, -46, -30, -2, 136, 61, 20, -72, -278, 21, -246, -154, 156, 25, -1, 13, -39, -29, 123, -213, 123, -6, 39, 60, -157, -15, -105, 60, 138, 21, 105, 127, -207, 28, -66, -32, -45, 54, 1, -176, 148, -4, -172, -87, 74, -105, 307, 238, -18, 57, 49, 71, 43, 102, -252, 97, -62, -19, 141, -23, -66, 150, -12, -45, 143, 66, -154, 96, 107, 35, -199, 198, 24, -43, -76, -2, 242, 6, 38, 130, -272, -73, -781, 29, 276, 82, -32, -63, -265, -12, -210, -130, 16, 105, -2, -19, 192, 14, 14, -45, -155, 57, -115, -57, -125, -43, -87, 44, 50, 131, -53, -202, 98, 23, 173, 6, -71, -14, 90, 59, -141, 0, -321, 59, 37, -49, -210, 42, -205, -25, 86, -92, 97, 214, -253, -93, -333, -27, -88, -65, -12, -8, -52, 213, 52, 30, -111, -26, -365, -91, -19, 50, -63, 0, -271, -36, 300, 71, -96, 86, 65, -37, -74, 164, -184, 50, 245, 13, 98, -44, -76, -193, -194, 21, -197, 127, -83, -21, 147, 139, 193, 43, -72, -76, 219, -24, -42, 11, 240, -65, 30, 130, 48, 8, -491, -46, 4, -57, -292, 124, -101, -11, 148, -20, 214, 20, 191, 15, -61, 33, -205, -105, -13, -2, -130, 174, -121, 7, -137, -161, 82, 35, 251, -131, -121, -49, -30, -98, 121, 66, 33, -130, -397, -31, 153, 120, 56, 164, -117, 157, 20, -116, -187, 7, 156, -25, -455, 238, -202, -8, 53, -110, 97, 197, -58, 162, 141, 28, -393, 26, 200, 46, -186, 1, 105, 51, -527, -96, -113, -116, -207, 7, -35, -75, -262, 15, 126, 112, -98, -134, 182, -44, 32, 209, 120, -92, -154, -2, 217, -1, -128, -15, 60, 33, -44, -172, -11, -36, 292, 111, 43, 29, -342, 121, 208, 4, -35, 60, -97, 29, -262, 124, -84, 50, 261, -165, 10, 45, 248, -61, -101, 26, -386, 81, -80, -43, 8, 25, -10, -47, -144, -88, -104, 37, 34, 30, -129, 1, -86, 137, 440, 7, -344, -114, -60, -18, -351, 144, 239, 116, 19, 39, -454, 39, -172, 144, -44, 28, -320, 107, -31, -56, -391, 32, 90, -80, -108, 80, -9, -8, 5, 74, 91, 32, 38, 280, -317, -16, -334, -219, -179, -34, -279, 357, -151, 10, -53, -110, -43, 4, 206, 35, -224, 31, 333, -83, 276, 9, -181, -108, -164, -10, -18, -13, -224, 23, -450, -45, 22, -14, -90, -145, -443, -17, -227, 55, -110, -63, 78, 38, 69, 108, -67, 36, -115, 1, 27, 156, 64, 44, 80, 93, -121, 109, 125, -101, 422, -83, -136, 177, 164, -27, -299, 32, 252, 252, -48, 30, -294, -9, -238, -161, 8, 8, 248, 28, -197, -39, 315, -2, -205, 103, -102, 26, 213, -66, 73, -84, -163, -9, 37, -106, 54, -13, 36, 190, -87, -12, 210, 141, -40, -93, -81, -136, -22, 100, -57, 179, -2, 18, -283, -3, 204, -8, -371, 68, 73, 64, -149, -220, -106, -34, 65, 126, -146, 33, 264, -153, -151, -3, 73, 139, 59, -4, 115, -3, 44, -78, -275, 37, -105, 25, 4, 124, 203, -53, 111, 52, 313, -18, -51, -204, -613, -13, 23, 22, -89, -23, -280, -89, 20, 117, -433, -95, 91, 8, -184, 14, -166, -88, -64, 72, 128, -4, -75, 95, 398, 39, -13, 322, -248, -17, -703, -220, 394, -58, 172, 236, -11, 7, 155, -136, -68, 113, 153, 174, -120, -45, -110, 51, 214, 16, -118, 114, -287, 13, -287, -127, -2, -12, -124, -143, -254, 50, 127, -111, 323, 52, -80, 90, 17, -24, -48, -91, 4, 89, -112, 63, -316, -48, 60, 103, -194, 128, -225, 76, 230, -37, 31, 67, 396, -66, -120, 340, -239, 97, 127, 27, 106, -33, -35, -305, -366, -22, -170, -226, 321, 140, -228, 207, 319, -47, -255, -47, -59, 255, -58, -98, 220, 11, -7, -21, -28, -7, -35, 329, -157, -9, -64, 159, -78, 76, -356, -174, -24, -18, -241, 10, -199, 95, -65, 120, -203, 16, 143, -120, -39, 45, -171, -105, -383, -16, 73, 97, 138, 133, 1, -273, -285, 73, 309, 6, 113, -104, 124, 139, 55, -15, -124, 31, -405, -86, -20, 160, 182, -28, 111, 248, 122, 72, 62, -429, 105, -37, -96, -22, 260, -68, 150, 34, 92, -25, -246, 50, 235, 152, -151, 80, 47, -4, -2, 42, 261, -20, 185, -46, -33, -8, -477, 327, 437, 183, 16, 196, 54, 4, -201, -52, 181, -15, -99, 290, -426, 41, 268, -178, -44, 130, 512, -39, -437, -12, -144, 118, 81, 7, -92, 187, 377, 90, -605, -61, -215, 34, 208, -188, -75, -23, -164, 35, 380, 45, -180, 66, -166, -57, 254, 54, 27, 275, -2, 99, -102, -36, -208, -4, -252, -49, -168, 227, 222, 5, -229, -59, 706, 100, -39, -155, 21, 18, -374, 28, -332, 90, -122, 135, 117, -26, -318, -225, 373, 94, -190, 279, -287, -20, -162, -4, 278, 106, 243, -40, 166, 19, 30, -80, 128, 58, -378, -96, 147, -5, 299, 164, -100, 41, -15, 215, 239, 29, 274, 124, -70, 113, -154, -186, 65, -21, -143, 207, -64, -124, 36, 190, 89, -11, 242, -240, -35, -3, -33, -42, 119, -2, 233, 132, -245, 9, 150, 110, 50, 62, -30, 64, -46, -48, -18, -108, -121, -43, -290, 48, 347, 27, 161, 41, 32, -120, 223, 98, 164, 111, -409, 25, 104, 1, -170, 125, 134, 47, -221, -2, 39, -17], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6026.2.a.g", "char_is_minimal": true, "conrey_index": 1, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}