# Stored data for newform 8015.2.a.l, downloaded from the LMFDB on 18 April 2024.
{"label": "8015.2.a.l", "space_label": "8015.2.a", "level": 8015, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934637903, "dim": 62, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-42758, -474169, 12241016, 4399105, -667644280, 545374332, 16677087686, -14096028527, -240061378290, 131791760734, 2166424947105, -486157325899, -12878081311615, -297226273365, 53087159403264, 10237311636943, -158940722742200, -48493271989887, 358788761857983, 135354446472340, -628751709975712, -264884788529573, 874918755328548, 389494146315591, -983793319091042, -446944155629008, 906107694041297, 409945333560961, -690791746640699, -305497353390180, 439416697005311, 187101306668744, -234605775096496, -94934567304436, 105566396486875, 40122895321631, -40135290396558, -14169739622374, 12905134589717, 4186434565195, -3507422334369, -1033946851227, 803988373316, 212853527134, -154810698241, -36334909566, 24885837373, 5101636939, -3310008018, -582222606, 359732161, 53093437, -31384856, -3773350, 2142834, 201232, -110189, -7570, 4010, 179, -92, -2, 1]], [3, [-82512, 5718384, -71810364, -1611760166, 19808458087, 187993444091, -1120858051165, -7414159685020, 23189400395769, 127642172285097, -238567958990605, -1147283271661558, 1463079506344409, 6094959964075969, -6039323160828695, -21089163988113815, 17955187960736328, 50874844532325019, -39954053126704901, -89706825582509993, 68199283034125005, 119529831496158504, -90932079344587970, -123231561865554149, 96095075972875246, 99946207922108762, -81463514948301001, -64469797616315189, 55949423929459155, 33264788267313245, -31377910595211849, -13729230481537504, 14456083100460817, 4495862295866761, -5493890115069654, -1141347787539293, 1726318309152456, 211149800764795, -448699600957514, -22646471422001, 96307839970999, -1070312817625, -17000451325855, 1108696284154, 2450477739697, -280209394373, -285188426826, 45958056587, 26333637313, -5504943952, -1876077236, 494985612, 98204795, -33266881, -3404316, 1627229, 54202, -54828, 1017, 1139, -67, -11, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32060, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 64.00009722005623, "level_radical": 8015, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [8015, 1, [3207, 4581, 4586], [1, 1, 1]], "inner_twist_count": 1, "level_primes": [5, 7, 229], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 62, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 1], [229, -1]], "trace_display": [2, 11, -62, -62], "traces": [62, 2, 11, 64, -62, 3, -62, 15, 69, -2, -13, 37, 31, -2, -11, 64, 30, 18, 20, -64, -11, 7, 0, 29, 62, 0, 59, -64, -29, -3, 20, 22, 72, 13, 62, 53, 35, 34, -6, -15, 13, -3, -4, -44, -69, -19, 58, 64, 62, 2, -30, 82, 18, 22, 13, -15, 21, 18, -11, -37, 24, 48, -69, 65, -31, 25, -6, 65, 27, 2, -35, 53, 116, -69, 11, 65, 13, 102, -83, -64, 126, 71, 84, -37, -30, 24, 49, 20, -16, -18, -31, 19, 65, 54, -20, 17, 155, 2, 6, 64, -47, 6, 101, -23, 11, 12, -44, 217, -28, -7, 33, -64, 60, 29, 0, -104, 119, 129, -30, -29, 155, 92, 20, 115, -62, -18, -64, 102, 72, 0, -24, 149, -20, -7, -59, 105, 80, 107, 20, 64, -7, -30, 87, -5, 29, 37, 11, 215, -42, 3, -13, 145, 169, -7, -20, 48, 73, -47, -30, -22, 0, 31, 66, 35, -72, 49, 99, -29, 175, -13, 64, 21, 89, 184, -62, -114, 89, 165, 19, -53, 2, 0, 10, 50, -35, -47, 120, 232, -59, -34, -17, 144, 122, -28, 6, 64, -13, 230, 36, 15, 33, 139, 29, 86, -13, 56, 5, 185, 6, 3, -67, 21, 121, 10, 4, 167, -20, 123, 60, 44, -166, 96, 161, -22, 69, -36, 142, 26, 62, 19, -72, -12, 39, 149, -58, -8, 57, -13, -40, -64, 89, -23, 173, 268, -62, 39, 25, 249, 13, -2, -16, -53, 79, 8, 30, 82, 121, 281, -35, -82, -36, 234, -1, 47, -18, -34, 82, 214, -90, -22, 143, 96, 6, 95, -13, 153, 46, 152, 147, 15, 27, -70, 116, -65, -21, 136, -13, 220, 224, -18, 100, 193, 173, 3, 11, -147, 285, 65, -58, 37, 4, -26, 5, 183, -24, 14, 263, 44, 76, -48, -24, 254, 186, 42, 69, -47, 28, 48, -12, -65, 73, 19, 78, 165, 31, -122, 79, 347, -58, -25, 81, 228, 96, 3, 6, -64, 85, 105, -23, -65, -111, 206, -62, 40, -27, 57, -39, 20, 142, -2, -42, -58, 147, 11, 35, 69, 30, 191, -58, -53, 250, -38, 285, -82, -116, 26, 177, 69, 126, 69, -18, 224, 74, -102, -11, 132, 122, -22, -21, -65, 12, 42, 66, 331, -13, -46, -134, 190, -101, -102, 109, 15, 154, 46, 83, -12, 251, 294, -21, 64, -224, 99, 1, -250, -126, -18, -17, 69, 320, -71, 12, 239, 11, 98, -84, -12, 223, 17, -33, 37, 167, -57, 88, -39, 30, -70, -24, -222, 0, -24, -104, 107, 425, -48, -49, -189, 168, -68, -37, -20, 69, -58, -70, 353, 16, -251, 159, -65, 113, 18, 64, 162, 64, 157, 31, -118, 179, 2, -111, -19, -82, -25, 107, -344, -65, -35, 188, 370, 6, -54, -299, 106, 74, -310, 20, -65, 218, -4, -95, -17, 177, 46, -27, 65, -155, -200, 10, 91, 191, -2, -45, -370, 159, 12, -6, 343, 35, -188, 30, -64, 53, -152, 174, -53, 47, -378, 248, -125, -14, -6, -116, 62, 148, 106, -101, -309, 119, 69, 60, 23, -98, -27, 107, 71, -11, -187, -99, 65, 190, -12, -27, -65, 58, -224, 44, -45, 261, 261, -13, -217, 65, -141, -159, 36, 28, -102, -72, -37, 180, 7, -132, 100, 83, -113, -33, -189, 113, -268, 169, 64, 384, -238, 182, 60, -60, -104, -126, 35, -47, -29, -17, -142, 204, -71, 0, -468, 413, -74, -64, 104, -84, -162, -95, -162, -119, -202, 246, 37, -65, -129, -46, 345, 139, 498, 30, -242, 10, -118, -186, 29, 89, -24, -124, 262, -155, -62, 246, 278, -49, -92, -132, -132, 40, -81, -20, -20, 166, -170, 133, -115, -211, 175, 16, 193, 62, -450, 253, -236, -54, 18, 110, -55, -105, 19, 64, -186, 31, -200, -57, -102, -54, -196, 148, -19, -72, -269, 68, -282, 239, 0, -65, 72, -90, -35, 24, -108, 203, -54, -144, -149, 207, 187, -109, 433, 20, -82, -137, -65, -44, 7, 50, -17, 149, 41, 59, 220, 274, 253, -155, -105, -107, -25, -20, -317, -80, -2, 11, -86, 106, -107, 80, 355, -6, 101, -20, -133, 450, -191, 48, -64, -143, -299, 106, -24, 7, 102, 47, -22, 51, 30, -280, 279, 221, -6, -87, -173, 309, -204, 39, 5, -101, -67, -20, 30, -29, -426, 189, 23, 294, -37, -116, 238, 208, 167, -11, -219, 74, -235, -20, -215, -35, -12, -186, 79, 42, -90, 197, 536, 44, -3, -404, 285, -78, -51, 13, -217, 224, -100, 40, -145, -16, -6, 28, 63, -169, -204, 156, -409, 383, 7, -190, -156, 207, 175, 20, -277, -33, 95, -131, -48, 16, 148, 174, 64, -73, -293, 277, -270, -101, 47, -60, 73, 313, -172, 30, 28, 93, -29, -7, 22, 110, -35, -3, 375, 0, -380, -68, -97, 52, -31, 76, 104, 78, 285, -66, -332, 487, 81, -119, -35, -255, -80, -111, -132, 72, -129, -43, -426, 195, -49, -129, 458, 30, 203, -99, -527, 482, -230, 41, 29, 337, -217, 76, -77, -175, -234, -155, 96, -96, 13, 91, 70, 294, -92, -64, -44, 98, -602, -13, -21, -20, -257, -216, 171, -89, -131, 195, -115, 38, -184, 141, 299, 275, 565, 62, -406, -13, -126, -134, 114, -194, 18, 60, -383, -89, -264, 285, 382, 64, -165, -143, 126, -25, -299, -19, -102, 271, -553, -15, 53, 27, 430, -72, 148, -2, -416, 288, -105, 48, 0, -210, -430, 175, 12, -10, 64, 24, -21, -118, -50, 216, -63, 183, -149, 35, -286, 288, -183, -144, 47, 20, -252, -24, 90, -120, -243, 255, 7, 32, -232, -275, -36, 18, 67, 59, -144, 29, -299, 116, 34, 15, -105, -34, 31, 17, -17, 177, 253, -80, -144, 124, -131, -74, 15, -122, -107, -42, -320, 154, 28, 7, 219, -20, -200, -6, 100, 270, -602, 212, -64, 197, 51, -29, -44, 13, 34, 7, -274, -437, -230, -98, 228, 427, 30, -36, -232, 321, -289, 194, -15, -87, -213, -185, -385, -33, -418, 543, 5, 398, -139, 118, -48, 193, 625, -29, -140, -69, -32, 317, -86, 256, -37, -311, 224, 13, -177, 347, 301, -11, -56, -186, -115, 110, -457, -5, -215, 180, -79, 192, -185, -31, -43, 42, 234, -6, -429, 115, 111, 30, -3, 52, 130, 88, 9, 67, -80, 13, 70, -26, -21, 80, 1, 336, -145, -121, -174, 228, -90, 125, -10, -169, -27, -35, -313, -4, -515, 193, 7, -202, -167, 332, 473, 65, 563, 20, -216, 89, -380, 776, -123, -197, -48, 150, -288, -60, -391, 487, 541, -73, -44, -306, -363, -54, -123, 166, 47, 400, -33, -166, -96, -52, 739, 30, 120, -161, -284, 392, -381, 86, 22, -83, -609, 267, 198, -69, 94, 0, -20, 272, 36, 184, 452, 181, -31, -142, -205, 390, -88, -38, -26, -66, -370, -131, 456, -62, -602, 243, -35, 10, -19, -207, 349, 379, 405, 72, 371, -155, -942, 37, 12, -8, -49, -67, 101, -39, 116, 146, 156, -99, -149, -100, -37, -185, 118, 58, 29, 312, 68, -42, 8, -53, 231, -175, -561, -57, -99, 140, -694, 380, 13, 54, -159, -113, 374, 40, 12, -64, -66, -74, 64, 264, -164, 189, -21, -89, -546, 526, -346, 40, 23, -89, -614, 6, -102, -173, -42, 227, -184, -77, -268, 43, 117, 86, 763, 62, -505, -137, 255, -264, -39, 28, 114, 86, -48, -25, 370, 463, -102, -89, -249, 94, -257, 52, -212, -13, -165, -115, 500, 307, 2, 9, 162, -19, 479, 16, -490, 404, -278, -296, 53, -67, -302, -225, 209, -79, -268, -2, -327, 158, -8, -99, -350, 450, 0, -30, -524, 385, -808, 241, -82, -10, -38, -72, -6, -121, -433, 223, -50, -1, -281, 273, 632, -144, 561, 35, -256, 66, -487, 99, 82, -397, 47, -465, -276, 36, -107, 233, 156, -120, -234, -139, -121, -63, -280, 1, -232, -16, -76, -315, -47, 146, 154, 59, 629, 18, -1031, -28, -206, 232, 34, -333, -29, 40, -156, -82, -158, 17, -567, 124, -214, 89, 166, 139, -144, 90, -219, 461, -570, -292, 22, -122, 74, 121, 103, -143, -1140, 458, 28, -89, -96, 79, 8, 335, 20, -6, -399, -172, -527, 415, -95, -154, -64, -81, 3, 13, 173, 312, 454, 13, -153, -83, -74, -106, -49, -46, -230, -170, -333, 136, -152, -70, -262, -36, 33, -147, -195, 84, -742, 417, -15, -21, -162, 261, 478, -27, 144, -33, -620, 41, 70, 44, 49, 49, -139, -116, -441, 387, -427, -22, 65, -29, -1132, 99, -406, 21, -326, 372, -86, -68, -136, -384, 392, 128, 453, 13, -468, -241, -97, 96, -220, 130, -56, -190, 480, -224, -368, 102, 120, -5, 18, 12, -438, 133, 104, -100, -185, 396, -433, 291, -193, -417, 131, -6, 629, -173, -613, 326, -100, -187, -3, -111, 154, 209, 438, -11, -292, 67, -279, 256, 147, -143, -260, 21, -21, -285, -298, 419, -110, 464, -65, -121, -219, 51, -339, 58, -331, 176, -10, -193, -37, 106, 367, 120, 843, -4, -726, -101, -353, 385, 26, -41, -167, 187, 90, -5, -134, -85, -247, 20, -183, 152, 293, 28, -109, 24, -123, 31, -390, 45, -14, 18, 17, -60, 293, -263, -308, 267, -351, 323, -44, -531, -586, 138, 25, -76, -156, 166, -355, 182, 48, 112, 343, 208, -96, 24, -249, 792, -337, -84, -254, -161, -744, 173, 0, -186, -884, 184, 22, -131, -42, -157, 381, -361, 342, -69, -648, 28, -725, 25, 47, -337, 36, -209, -299, -28, 290, 46, 587, -142, -48, -424, 322, 350, 316, 12, -26, 310, -626, 295, 65, -513, -22, -62, -477, -73, -291, 174, -932, 221, -19, -62, -281, 119, 826, -78, -493, 72, 41, -8, -165, 47, -38, 418, 12, -31, -920, 263, -364, -484, 122, -39, -29, 619, -353, -79, 343, 3, -149, -107, -347, 66, 3, 39, 343, 58, -266, -476, 272, 17, 25, 7, 8, -474, 228, -81, -182, 351, 195, -57, -228, -534, -370, -94, -69, -96, 13, -345, 9, 160, -3, -467, -126, 40, 32, -6, -630, 42, -170, -172, 64, 337, 261, 316, 396, -85, -71, -89, -508, 39, -105, 87, -219, 389, 23, 23, -410, 313, -164, -36, 65, -173, 50, -344, -765, 111, 163, -168, -268, -271, -206, -50, -27, -310, 618, 62, -859, -55, -157, 109, -40, -350, -39, -92, -272, 27, -235, 51, 394, -25, -57, 61, 800, 194, -890, 39, -249, -4, -180, -257, -20, -72, 132, -13, -69, -142, -799, 166, -449, 22, 2, -646, -791, 294, 48, 42, 49, 16, -592, -110, 58, 350, -708, 99, 53, -147, -36, 88, -420, -400, -11, -79, -436, -368, -133, -35, -312, 242, -8, -571, -69, -389, 990, 93, 95, -30, -89, -92, -458, 119, -191, -190, -82, -174, 239, 58, 52, -552, -191, -121, 53, 329, -373, 24, 14, -250, -281, 136, -277, 418, 38, -201, -126, 35, -567, -285, -193, 198, -833, 330, 82, -64, -78, 248, -106, 116, -590, 36, 181, -656, -26, 45, 15, -96, -234, -177, -451, 427, -239, -345, -69, 1, -210, -292, -599, -126, -427, 57, -47, 100, -69, 5, 455, 7, 670, 18, -1133, -77, -396, -382, -224, 44, 34, -304, 710, -74, -374, 255, 430, -82, 102, -120, -57, -37, -18, 11, -214, -401, -603, -111, -132, -247, 101, 90, -822, -122, -1186, -130, -535, -153, 22, 208, -437, 173, 269, 21, -925, -143, -550, -202, 65, -358, -505, 425, -96, -12, -44, 122, -585, 5, -42, -6, -202, -127, -349, -66, -656, -235, -95, -217, -331, 498, 797, 217, 852, 13, -1026, -464, -315, 221, 46, -31, -153, -273, -369, 134, -210, 229, -300, -46, -190, -829, -218, 75, -714, 101, -152, -552, -458, -336, 102, 296, 65, -147, 206, -109, -941, 393, -869, -168, -15, -298, -460, 117, 378, -154, -152, -27, -1058, 265, -46, 381, -62, -185, 70, -83, -1289, 329, 78, -281, 12, -116, -264, -124, 597, -251, -967, -36, 65, -773, -294, -163, 15, 272, -269, 21, -458, -25, -453, -262, -64, -544, -136, -308, -133, 224, 23, -374, -52, 13, -99, -134, -427, -139, 131, -1, -220, 555, -271, -362, 250, -286, -568, -224, -542, 126, -477, 255, -229, 170, 18, -468, -113, 343, 186, 17, 250, -100, -14, -27, -69, 232, -138, 3, -193, -320, -239, 656, -17, -62, 71, -173, -73, 180, -409, -12, -24, 224, -3, -103, -239, 69, 471, 2, 241, -11, -827, -1022, -380, -125, -98, -69, 147, -455, -113, 84, 369, -60, 258, -285, 12, -249, -17, 136, -955, -223, -65, -326, -385, 253, -17, -221, 348, 58, 594, 33, -367, 437, -176, -173, -37, 122, -133, -3, -226, -167, -34, -4, -285, -408, 57, -46, -273, 150, 26, -88, 149, 250, -390, 305, 39, -5, 167, 6, -34, -30, 288, -372, -183, -394, 70, 217, 1225, -417, 302, 24, -667, 168, -109, 146, 222, -134, -14, -172, 400, 0, -160, 184, -45, -263, 24, -149, 477, 53, -926, 104, -44, 93, -329, -257, -107, 575, 27, -76, 913, -425, -639, -193, -609, -124, 48, -372, -719, 373, 341, 49, -457, 24, -30, -80, 189, 57, 305, 352, -254, -168, 440, 292, -27, -276, 68, -186, -749, 425, 166, 37, -400, -67, -42, -553, 20, -30, 236, 178, 286, -69, -478, 20, 471, 394, 58, 6, 47, -263, 350, 70, 240, -167, 397, -28, -353, -193, 197, 46, -440, -16, -48, 116, -325, -176, 251, -247, 128, 12, 429, -159, -263, 293, -909, -147, 65, -460, -171, 229, 1280, -113, 117, -73, -513, 389, -18, -83, 539, -400, -19, -64, 32, 1018, 379, -434, -162, -78, -303, 48, -757, -64, -781, 153, -165, -297, -157, 82, 130, -121, 786, -31, 124, -200, 657, -392, 118, 571, 122, -159, 242, -179, 128, -54, 7, -79, -2, -71, 58, -12, 127, 111, -347, -393, -383, 412, 19, 158, -270, 58, -480, 82, -231, -68, 479, 27, 25, -198, 216, 369, 758, -107, -553, -81, -246, 179, 344, 713, 724, 317, -228, 65, 181, -196, -395, 83, 35, -96, 546, 134, -86, -188, -686, -158, -3, -531, -370, 330, 366, 17, 487, -6, -874, 31, -120, -220, 54, 24, 64, -88, -381, 299, 69, -88, 207, -85, -106, 107, 78, -304, -327, -74, -105, -361, 287, 157, 310, 141, 408, 23, -430, -20, -208, 448, -169, -112, 65, 86, 595, -128, 167, -218, 378, 111, 380, 250, 4, -146, -489, 778, -206, 95, -276, 351, 413, -130, 17, 62, 168, 658, -31, -177, -1045, 164, -40, -735, -46, -323, 1187, -206, 637, 27, 153, 300, -381, 178, -65, -615, -57, -363, 96, 155, 347, -46, 179, 39, 200, 117, 1014, 149, -180, -10, -20, 476, -119, 248, -91, -27, -329, -142, -332, -191, -528, -84, -1015, 156, 2, -203, -444, 221, 391, 45, 362, 42, 7, -52, 370, 376, -65, 631, 58, -159, -274, 353, 630, 103, -12, -147, -241, 900, 96, 6, -250, 46, -11, -366, -343, 588, 719, 299, 114, -35, -103, -818, 508, 38, 188, 54, -69, -601, 598, -30, 622, 378, 203, -30, 64, -38, 422, 87, -407, -53, -191, -402, 51, 215, 152, 170, -157, 58, 136, -174, -790, 440, -347, -13, 53, 192, 31, 339, 552, -47, -447, -250, 295, 68, 378, -320, -681, 79, 38, -248, -419, 529, 56, 84, 125, -285, -355, 103, -578, 14, -438, -172, 82, -610, 6, 363, 1347, -484, 1034, 116, -546, -173, -104, 296, -62, -222, -26, -86, 143, -148, 605, -149, 203, -177, -106, -375, 302, 204, -372, 101, -69, 224, 555, -63, 309, -181, 876, -126, 452, -119, -438, -150, -750, -317, -69, -439, -1010, 324, 562, -60, 133, 18, -368, 211, -23, 1007, 147, 431, -224, 98, -641, 170, 159, -276, 27, -74, -337, 166, 375, -107, -759, 433, 102, -22, -71, 84, 1848, 107, 441, 11, -1180, -585, 743, -502, 187, -119, -132, 205, 505, 99, -50, 31, 149, -122, -65, 390, -473, -190, 794, -190, 22, -725, 164, 265, 12, 234, -473, 21, 531, 27, -132, 73, -332, 74, 65, -280, -363, 319, 956, -58, 296, -12, 27, -37, 224, 131, 409, 694, -42, -44, -689, 557, -14, -702, 45, -66, 95, -3, 46, -261, -294, 169, -331, 210, -261, -347, 916, -511, 573, 13, -78, -326, 228, -27, 217, 194, 46, -270, 616, -65, -404, -107, 1015, 134, 141, -157, 251, -201, -83, 159, -190, -42, -548, 82, -36, 128, -46, 101, 925, -28, -737, -400, -393, -204, 102, 63, 69, 218, 161, 72, -96, -109, 244, 439, 37, -26, 34, 383, -15, -180, 62, 348, 37, -256, -7, -154, -45, 504, -26, 132, 402, -433, -46, -520, -100, 53, 915, 701, 1094, -83, -571, -560, 574, 873, 113, -164, 12, 82, 258, 33, 649, 165, 369, -251, 189, 125, -169, -93, -37, -113, -294, -852, -392, 254, 268, -218, -122, 21, 362, -169, -949, 505, 182, 154, -64, -357, 39, 648, 257, -384, -236, 224, -698, 436, 238, 279, 173, 260, -99, -182, 184, 801, -54, -407, -60, -1, -220, 44, 284, 60, -929, 29, 250, -884, 104, 113, 1061, 142, 1078, 126, -196, -162, 222, -72, -35, -18, 18, 177, -133, 47, 241, -633, 343, 17, 29, 292, 386, 490, 223, 17, -69, 171, -745, -278, 142, -200, -44, -320, -39, -204, -156, -95, 97, 156, 71, -26, -133, 383, 797, 0, -245, -12, 258, 18, 468, 463, 160, 389, -239, -413, -234, 242, -168, -432, 74, -11, -157, 164, -179, 64, -145, 164, -98, -185, -104, 522, 327, 198, 66, 84, -69, -434, 350, -215, 162, 240, 12, -292, 559, 95, -130, -23, 481, -223, 162, 150, 42, -551, 276, 119, -17, -303, -271, 292, 202, 446, 101, 33, -476, -246, -455, 312, -390, 157, -37, 283, -207, 158, -267, 65, 543, -167, -242, 688, 129, 105, 265, 839, 57, 46, 162, 394, 686, 232, -345, -88, 127, 323, -37, -139, -304, -461, 39, 36, -498, 238, 2, -82, 207, -30, -411, 31, 512, -495, 242, -783, 70, -288, -397, -10, -708, -40, 279, 24, 118, -546, 713, 194, 13, 186, 222, 507, 193, -132, -29], "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": "8015.2.a.l", "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}