# Stored data for newform 6019.2.a.c, downloaded from the LMFDB on 19 April 2024.
{"label": "6019.2.a.c", "space_label": "6019.2.a", "level": 6019, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288301443, "dim": 108, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-103242, 19835083, 38474670, -8520668769, 20258909929, 1180188659563, -4872522201571, -72563467842175, 355899187380802, 2531809776417846, -13464156291654054, -57398117889987929, 315880231787671818, 920656022054247430, -5048500976148179190, -11071780002908244558, 58345519335532259779, 103909153833563044765, -508550096821174516392, -782306453022764232754, 3449765454898614546270, 4815798553402980852860, -18660043895109774100092, -24572330128747078544617, 82038399412583837940281, 105005399991035521820821, -297688541186515254019734, -379008587572512337342675, 902678466255460497770188, 1164033683612394901175253, -2310482911838509161888613, -3062364651372306798511476, 5032751390574575759146459, 6943516172689945404271934, -9389549354730832033324678, -13645091733335435028253558, 15077900339499714330018311, 23360730760105438220744959, -20908026014111021540174536, -35006295562844982306351751, 25070983481225900825648445, 46109846389964413969448245, -25969009297540312606104257, -53588576614506954863072649, 23123825261397634192378559, 55135983803435980754888240, -17494812676962657955284468, -50367553611247707739634625, 10950836633180921500818540, 40955041409209184138072010, -5291811861426198592037367, -29704007123142307279389412, 1498798807077093769097161, 19248963407739039477740705, 399075030921998589279718, -11159338258197183872788301, -959838825014145606677088, 5792639588014637906178542, 850784467210175959162190, -2693340755198109609640405, -551401265435901940550427, 1121588285960080947316267, 292731107706450121070672, -418024390488126747181211, -132608649130579008817984, 139248509097288059166297, 52252954071104164259317, -41362640817437359691639, -18093703504229270073235, 10917891601968912368344, 5537283813274228627602, -2547436267397353061732, -1502234262231990328077, 521210825481462554096, 361737146203993062822, -92309937332370211644, -77306559709955717504, 13831464630144144211, 14643864117698712859, -1671912059363956168, -2452885000322493846, 142491778586190245, 362026120412831392, -3084100627898584, -46851627337034909, -1699982273092503, 5282078882571060, 411205808773879, -514316854964031, -60536879357433, 42752993617919, 6739833385041, -2985697366950, -597859749503, 171125066030, 42774812232, -7755160259, -2454446742, 259199900, 110818893, -5327730, -3802567, 10109, 93368, 3198, -1463, -95, 11, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24076, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 48.06195697660866, "level_radical": 6019, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6019, 1, [2316, 1392], [1, 1]], "inner_twist_count": 1, "level_primes": [13, 463], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 108, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[13, 1], [463, 1]], "trace_display": [-11, 1, -40, -8], "traces": [108, -11, 1, 95, -40, -10, -8, -33, 79, -1, -45, -6, -108, -31, -39, 73, 21, -35, -19, -79, -72, 0, -26, -23, 92, 11, 7, -21, -94, -24, -36, -77, -32, -58, -10, 17, -54, -12, -1, -4, -68, -11, -32, -151, -121, -33, -51, -27, 72, -45, -24, -95, -81, -29, 4, -68, -45, -30, -94, -108, -39, -9, -52, 31, 40, -40, -47, 24, -60, -66, -86, -91, -51, -110, -7, -51, -96, 10, -18, -136, -24, -33, -77, -113, -95, -137, 23, 19, -112, -19, 8, -111, -124, -20, -73, -77, -41, -80, -154, 8, -125, -71, 25, 33, 31, -66, -18, -13, -152, -60, -117, -64, -39, -135, -38, -168, -79, 28, -134, -36, 49, -92, -88, -75, -246, -118, -8, -95, 51, 1, -62, -41, -64, -140, -115, -116, -167, -43, -34, -57, -207, 108, 45, -7, -24, -86, -47, -18, -354, -66, -89, -55, 18, 102, -22, 6, -25, -120, 3, -32, -198, -13, -57, -115, -84, -66, -80, 95, 108, 46, -99, 102, 20, -46, -34, -406, -105, -47, -206, 2, -108, 31, 38, -55, -43, -132, -27, -112, -254, -69, -156, -123, 10, 29, 39, 132, -191, 96, 2, -110, -105, 19, -143, -50, -74, -127, 7, -73, -8, 6, 4, -136, -182, 21, -121, -134, 70, -53, -18, 258, -21, 232, 24, -17, 26, 59, -29, -112, -201, -89, -145, 75, 8, 35, 47, -238, -6, -29, -179, 71, -122, -215, -3, -23, -354, 98, 19, 59, -173, 186, -128, 19, -141, -239, -151, -151, 79, 69, 44, 79, -282, 35, -21, -86, -25, -115, -92, -156, -252, -106, 18, 114, 72, 188, -260, 1, -135, -73, -30, -230, -319, -17, -2, -101, -3, 0, -14, -116, 19, -43, -141, 50, -174, -127, -5, -258, -29, 137, 26, 97, -196, 97, -37, 12, -231, -309, -95, -269, -221, 124, -106, 23, 26, -27, 172, -28, -265, 45, -74, -156, -58, 35, -106, 137, -92, -66, 15, 51, -85, 282, -81, -158, -166, -66, -55, 40, 25, -11, -36, -49, -170, -23, 59, -235, -116, -35, -20, 81, -138, 207, -7, 375, -188, 419, -11, -219, -130, -100, -283, -29, -81, 220, 116, 21, -281, -81, -23, -235, -97, 138, -226, -300, -70, -104, -170, 182, 94, 167, -19, 68, -91, 77, -120, -255, -79, -167, -215, 115, -562, 24, 33, -143, -9, -50, -41, -191, -129, -154, -21, 12, -290, 214, 36, -62, -313, 227, -51, -73, -23, -405, -178, 134, -71, 335, 70, 77, 159, 134, -140, 204, -140, -26, -197, -112, -20, -5, 51, 73, 32, 313, -174, 316, 73, -128, -15, -372, -224, -109, -95, 12, 49, 58, -120, -176, -76, -28, 137, -57, -265, -49, -10, -168, -113, 140, 10, -163, -153, 130, -138, 458, -402, -56, -108, -242, -63, 95, 73, -17, -29, 20, -74, 133, -178, 281, -26, -332, -209, -17, -87, 116, 54, 150, 5, 383, -317, 184, 5, -239, -202, 46, -205, 90, 1, 12, 57, -89, 132, 121, 65, -387, -280, -71, 26, -257, 102, -60, 1, 227, -523, 430, -24, 78, -106, 40, -216, 226, -29, 23, 142, 4, -64, 185, 91, -81, -78, -16, -189, -180, 36, 26, 31, 445, 68, 185, -29, -126, 65, 226, -72, -318, -273, 46, -79, 183, 233, 11, 142, -192, 7, 285, -31, 153, -74, -368, 66, -118, -434, 329, 32, 204, -220, 230, 119, 108, -101, -42, -169, 59, -325, 496, 132, 151, -78, 219, -77, -92, 9, 96, -191, 22, -532, -19, 112, -126, 121, 53, -127, 404, -136, -12, -41, 117, -189, 29, -131, -503, -192, 33, -235, 229, 99, 209, 233, 358, -312, -96, 158, -67, -40, 414, 51, 86, -260, 257, 207, 331, -253, -94, -105, 48, -168, 488, 156, 27, 32, -160, 130, 81, -257, 376, -161, -462, 139, -37, -46, 486, -72, 104, -260, 293, -276, 210, -22, -550, -359, -130, -168, 108, 127, 45, -38, -22, -223, 140, 72, 46, -75, -115, -67, -148, -109, 195, 24, 89, -294, 29, 212, -126, -358, 56, -121, 259, 27, 29, 505, 95, -95, 66, 127, 135, -59, 149, -72, -48, 122, -111, 160, 476, 81, 272, -3, 257, -54, 475, -107, -115, -158, 30, -58, 330, -485, 29, 114, -473, 86, 124, -22, 283, -279, -124, 228, -85, -71, 661, -4, -394, -24, 5, -78, 374, 58, -84, -75, -143, -346, 321, 276, 68, -74, 202, -195, 112, 99, -2, -74, -60, 41, -283, 99, 117, 45, 506, -283, -61, 319, -202, -77, 99, -659, 168, -87, -119, 344, 30, -33, -166, 5, 53, 185, 102, -303, -43, 241, -345, -143, 324, 94, 371, -201, 138, -53, 600, -259, -321, -109, 24, 82, 423, -74, 108, -433, 99, 169, 188, -142, 257, 76, -360, -160, 84, -30, 842, 39, 355, -155, 142, -190, 495, 94, -258, -277, -40, 11, 289, 230, 9, 97, 167, -88, 208, 261, 31, -33, -280, 244, 93, 120, 285, 52, 386, -709, 323, 179, -16, 82, 150, -290, -41, -180, 109, 271, -31, 29, -62, 32, -6, -212, 249, -244, 148, 116, -78, 72, 332, -40, 199, 49, -184, -135, 46, -401, -249, -51, 50, -175, 347, 315, 40, -66, -139, -230, 255, -37, 301, -21, -112, 365, 23, -519, 680, 47, 172, -90, 335, 314, 417, -144, -304, -320, 373, -185, 353, 513, -24, -146, 120, 146, 571, 319, 365, -193, 49, -162, -81, 500, 17, 60, 104, -262, 372, -95, 163, -61, 41, -320, -81, -153, 131, 225, 66, -255, 329, 144, -211, 522, -408, -387, -18, -162, -422, 196, 857, 86, 435, -318, 11, 186, 434, -175, 394, 33, 47, -180, 414, 31, 91, 181, 189, 78, 124, -405, 287, 107, -615, 476, -74, -69, 527, 51, 305, -275, 167, 203, 607, 77, -508, -344, 11, -258, 940, 192, 110, -28, 110, 28, -193, 247, -289, -245, -82, 126, -70, -61, 246, 7, 298, -360, 695, 361, -78, -452, -217, -115, 347, 225, -93, 361, 51, -449, 471, -68, 419, 105, 126, -414, -405, -51, -14, -7, 985, 96, 569, -189, -66, -145, 625, -56, -31, -130, -22, -62, 712, 205, -10, -25, -397, -37, 48, -96, 315, -95, -124, 618, -463, -151, 500, 18, 481, -249, 192, -101, 372, -110, -95, -100, 145, -634, 444, 331, 136, 121, 230, -6, -469, 100, -90, -230, -18, -157, -150, 202, 263, 24, 610, -27, 366, 263, 280, -97, -193, -774, 230, -35, 6, 671, 33, 122, 482, -88, 373, 412, 359, -406, -172, 497, -437, -70, 603, 77, 596, -144, 104, 279, 391, -373, -154, -48, 289, -240, 650, 425, 113, -45, -231, 142, 474, 155, 753, 5, -788, -197, -189, -116, 741, 95, -35, -209, 154, -643, 698, -201, -427, 9, -123, -286, 266, 206, 137, 393, 16, -391, 174, 324, -95, -330, 52, -28, 48, 51, 157, -23, 669, -29, 276, 330, 140, 227, 169, -380, 169, -194, 557, 421, -19, 14, 487, 125, 165, 255, 231, -101, 77, 265, -22, 796, 313, 112, 704, -269, 63, 443, 708, -107, -421, -189, 23, -40, 371, -119, 19, 0, -9, -13, 358, 52, 487, -74, 2, 193, -95, -666, 810, -8, 46, -55, 58, -19, 526, -194, 73, -229, 229, 56, 163, 464, 111, 18, -36, -270, 200, -10, 217, 87, -514, -350, -558, 32, 332, 124, 556, -499, 834, -12, -18, -68, 43, -127, 293, -211, -176, 345, 20, 236, -48, 204, 141, 390, 112, -469, 59, 293, -371, -50, 746, 73, 184, -249, 288, 122, 867, -339, -25, 66, -173, -20, 684, 310, 77, 121, 278, -45, 282, -159, 838, 182, 177, 407, -219, 131, 1125, 41, 364, -33, 464, 192, 632, -116, -283, -711, 391, -320, 856, 435, 80, 421, 380, -105, 836, 502, 503, 132, -101, 134, -525, -164, 275, 154, 984, -400, 200, 371, 140, 8, -145, 101, 17, 97, 110, 447, -8, -441, 420, 170, 80, 807, 291, -189, 120, -106, -501, 598, 590, 125, 806, -64, 69, 239, 506, -107, 510, 15, 486, -100, 321, -219, 71, 384, 47, 196, 479, 33, 328, 214, -265, 396, -342, 107, 1033, -25, 932, -843, 705, 446, 1298, -68, -254, 178, 224, -342, 812, 591, -33, 232, 34, 172, 422, 80, 585, 30, -342, 308, -113, 536, 65, -31, 642, -264, 499, 162, 145, 81, 172, -378, 113, 239, -220, 829, 66, -153, 771, -294, 341, 514, 289, -52, 476, -9, -83, -1, 670, 18, 781, -35, 315, 461, 641, -427, 289, 53, 741, -15, 483, 310, 13, 345, 293, 193, 915, -327, 823, 157, -145, 449, -137, -19, 1072, 152, 662, -10, 312, -55, 746, -14, -367, 95, 99, -5, 889, -50, 60, -73, 413, 143, 366, 581, -140, -174, 247, 156, -2, 80, 467, 117, 285, -372, 465, 410, 1065, -153, 64, -214, 527, -191, 221, 1150, 64, 123, 450, 101, -24, 157, 389, -63, -386, 512, -182, 268, 613, 39, 1003, -150, 68, 698, 689, 32, 554, -329, -88, -153, 631, 39, 135, -14, -114, 134, 433, 152, 400, -101, 182, 731, -26, -324, 571, 38, 436, 68, 201, -53, 675, -45, 95, 207, 403, -339, 478, 301, 168, -68, -290, -173, 405, 97, 429, 211, 21, 56, 221, 195, 773, 79, 820, -260, 532, 117, 710, -45, 91, -194, 818, 19, 43, 443, -28, 21, -227, 9, 34, 308, 728, -751, -251, 329, -709, 358, 458, 134, 777, -570, 49, 499, 549, -17, 247, 196, -351, -223, 346, 118, 36, 67, 188, -185, 207, -828, 78, 31, -179, -92, -594, -234, 294, -49, 280, -568, -18, 96, 646, -102, -338, -482, 212, -361, -122, 461, 92, 24, -188, -406, 248, 267, 16, -166, -405, 361, -494, 213, 141, 88, 769, -152, -702, 408, -295, 24, -42, -308, 317, -26, 704, 263, 75, 32, 677, 210, -167, 638, -110, -372, -435, -121, -216, 248, 731, 246, 161, -43, -89, -550, 635, -659, -672, -185, 395, -216, 24, 89, 118, 299, -601, -67, 164, 125, -315, 161, -238, 430, -106, -620, 454, 8, 451, -314, -204, 392, 706, 22, -526, -33, 105, -1043, 263, 356, 95, 165, 28, -68, 503, -48, -164, -61, -204, 318, -503, -50, -106, -51, 251, -116, 204, -24, 280, -133, -279, -422, 97, -458, -163, 80, -1, -200, -157, 242, 170, 641, 98, -360, 299, 218, -352, -161, 677, 62, 479, -232, -468, 13, 510, -887, -686, 56, 333, 82, 64, 85, 41, -463, 683, -49, 767, -359, 662, 333, -410, 346, -625, 91, 399, 64, 303, -637, -90, 135, 837, -90, -676, 96, 241, -130, 505, 164, 140, 394, -540, -307, 388, 172, 220, -232, -324, 126, -860, -238, -53, 115, 300, -607, 334, -92, -115, -282, -232, 27, -365, -520, -453, 251, 116, -189, -441, 294, -97, -130, 369, -338, -719, 259, -576, 464, -52, 167, 207, -35, -38, 11, -180, -44, 205, -241, 605, -572, 372, 168, 43, 413, -157, -203, 230, -194, 346, -107, -318, 444, -726, -721, 354, 34, 119, -402, -8, 74, 434, -525, -744, -250, 260, -44, 837, 85, 57, -356, -645, 138, -753, 230, 151, -209, -138, -898, -1181, 580, 109, 207, 479, -384, -482, 112, 602, 416, 60, -422, -751, -162, -425, 295, -108, 44, 208, -112, -104, 311, -95, -409, -731, 788, -526, -200, 538, -45, 738, -544, -204, 341, 698, -55, -512, -321, 211, -412, 335, 43, 7, -5, -116, 259, 149, -569, 254, 25, 103, 66, -797, 76, 36, 24, 236, -230, 308, -58, 1012, -109, -986, -93, 48, -200, 131, 68, 86, -47, 36, -778, -155, 376, 265, 220, -508, 275, -802, 391, 555, 47, -180, -310, 912, 694, 234, -654, -222, -663, -195, -216, -88, 411, 18, -742, 138, 18, 782, 90, -128, -311, -773, 101, -1092, 41, 824, 354, 1549, 36, -573, -195, 181, -369, -212, 236, 22, -473, -121, -303, 66, -93, -336, 291, -38, 262, -114, -235, -451, 217, -471, -344, -572, 89, 151, -176, -48, 185, 656, -31, -702, 138, -95, -658, 332, 366, 55, 258, 163, 96, 94, 29, 523, -14, -606, -255, -1331, 225, 670, -18, 1380, -51, 435, 469, 325, 259, -233, -612, 198, -361, -645, 45, -102, 89, -2, 316, 61, 241, 65, -346, -575, -69, -689, -74, -124, 22, 33, -253, 161, -99, -125, -736, -986, 86, -115, -36, 160, 228, -6, -454, -141, -229, -154, 22, 513, 188, -655, -96, -919, -741, 931, 25, 487, 173, 85, -172, 352, -30, -141, -265, -100, -730, -160, 90, 120, -35, -491, 50, 383, 550, -18, -632, -245, 560, 84, 72, -454, -3, 626, -713, 98, 383, 142, 118, -859, 12, -35, -89, 39, 341, 32, 102, 182, -168, 29, 50, -373, -81, -268, 199, -968, 240, -17, 198, 6, -80, -349, 141, 424, -438, -592, -599, 234, -92, -331, 151, 13, -62, 76, -301, 204, 458, -336, -132, -372, 575, -790, -489, 425, 57, 198, -591, 200, 91, 324, -378, -299, -791, 346, -546, -544, 646, 115, -272, -463, -22, 24, -126, 480, -42, -1174, 53, -549, 406, -779, 84, -29, 23, -5, -362, -29, -678, -488, -276, -499, -448, -542, -222, 66, 143, -596, 340, 462, 659, -97, -930, -144, 686, 181, -287, -218, 80, 25, -181, -172, 230, 300, -19, -511, -27, 917, -766, -258, 378, -95, -91, -214, 97, 411, -249, 324, 254, -587, 235, -734, 129, 47, -108, 827, -189, 181, -14, 837, -163, -254, -616, 126, -168, -424, 43, -46, -398, -273, -271, -116, 432, -246, -58, -432, 309, -945, -527, -274, 99, 512, -269, -205, 265, -110, 173, -357, 157, -476, 138, 154, 814, -102, -304, -210, -131, 325, 16, -699, 110, -783, 112, -806, 972, 281, -20, 300, 170, 291, 410, 247, 144, -754, -223, 38, -79, -13, -731, 46, 155, 121, -85, 357, -141, 256, -182, -130, 889, -985, -46, -268, 34, -313, -629, 142, 40, 1391, -61, -809, -239, -194, -462, -1040, 97, 406, 38, -489, -827, -715, 198, 204, 308, -625, -259, -718, 237, -764, 105, 99, -32, 28, -180, 612, -441, -692, -773, -478, -175, 149, 416, 47, 40, -970, -213, 501, 539, 661, -623, -764, 728, -1169, -487, -627, 206, 674, -33, 33, 567, 819, -656, -615, 313, -24, -405, 76, 139, -2, -335, 124, 424, -484, 6, -220, -477, 133, 5, -702, 133, -81, 108, 394, -345, -333, -496, -77, -118, -904, -446, -333, 115, 313, 176, -31, -107, 282, -214, -256, 557, -377, 332, -215, 183, -1078, -20, 344, -38, -818, -644, -603, 393, -475, -58, -946, -92, 116, -494, -470, 659, 55, 251, -254, 193, -27, 201, 21, -275, 143, 656, 88, 183, 325, 43, -9, -286, 354, -386, 280, 91, -352, -431, 21, -559, -285, 40, 132, -98, -525, -631, -538, 397, -34, 229, 206, 491, -185, -1308, -10, 27, 582, -606, 29, 195, -410, -360, -713, -156, -8, -232, -493, 330, 112, -363, 14, -31, -285, -30, 579, 469, -1277, 244, 28, 603, 132, 254, 731, -228, 36, -209, -319, -238, -693, -649, 137, -42, -986, 208, 69, 22, -139, 131, 366, 412, 18, -545, -423, 322, -1171, 64, 115, 156, -135, -103, -723, 38, 1261, -1180, -536, -570, -232, -638, -293, 231, 123, -355, 93, -23, -474, -1261, -90, 2, -881, 665, -1246, -316, 259, -10, -89, -231, -374, -52, -166, 26, -941, -551, -70, -201, -494, 309, -29, 215, -773, -273, 214, 1219, -836, -464, -563, 310, -850, 3, -218, -39, 391, -318, 217, -241, 770, -661, -1519, 67, 286, 20, -823, 492, -132, -764, -884, 15, 192, 184, -302, 11, -978, -150, -174, 348, 459, 191, -391, 106, -937, 62, 299, -140, -174, -138, -60, 25, -474, -120, -96, 67, -502, -155, -793, 382, -561, -67, -673, 343, -1079, -909, 171, -2, -73, -582, -1301, -73, -376, -27, -976, -719, -675, -401, -175, -294, 110, -546, -54, -106, -299, 223, -267, -60, -208, 93, -1121, 322, -433, 105, -37, 136, 53, 80, 344, 2, -833, -850, -557, -413, 71, 819, -19, -350, 359, 99, 575, 853, -981, -764, -823, 716, -939, -415, 542, 143, 99, -616, 235, 629, 104, -346, -503, -347, 857, 160, -729, 565, 50, 132, -215, 189, -383, -465, 46, 242, -864, -381, -921, 466, 10, 74, -143, 132, 163, -364, 1115, -378, -1206, -565, -155, -376, -1023, -205, 127, -626, -528, -271, -439, 627, 251, 64, -1077, 295, -814, -133, -669, -7, 470, -579, 190, 335, 55, -54, -15, -439, 409, -593, -1074, 1099, 73, 440, -447, -44, 274, 569, 153, -560, -1134, 784, -645, 1002, 483, 8, 610, 284, -106, -327, 46, 24, -939, -1067, 544, 365, 475, -255, -6, -239, -554, 354, -425, 147, -519, -459, -85, 481, -555, -875, -906, -4, 551, -703, -919, 724, 158, -308, -1533, 48, -218, -254, -746, 481, 136, -294, -799, -625, -807, 517, 288, -87, -226, 326, -917, -72, 6, 182, 561, -642, -985, -31, 549, 31, -275, -247, 10, -431, -381, -615, -21, 5, 211, 166, 83, 155, -495, -251, -354, 580, -1377, -317, 341, 121, 117, -176, -315, -133, 939, -369, -1036, 130, -259, 142, -64, 317, 134, -47, 597, -187, -1110, -240, 570, 413, -426, 773, -731, -330, -735, -70, 158, 94, 580, -107, 634, -145, -375, -651, -316, -191, -403, 383, 53, 456, -476, -30, -255, 505, 510, 71, -791, 71, -304, 16, -39, 18, -363, -453, -517, 33, 5, -603, -486, -364, 17, 48, -597, 439, -258, -532, -717, 332, -184, 781, -709, -529, -133, -36, -868, 738, 150, 21, -15, 175, -670, -389, 191, -141, -86, 69, 142, 157, -327, -590, -232, -58, -172, -75, -197, 160, 85, -191, -431, 1122, -1275, -268, 796, -24, -147, 78, -571, 437, 591, 511, -445, -343, 362, -1116, -378, 434, 17, -50, 141, 246, 206, 482, 508, 87, 122, 210, -1638, 521, -1154, -26, -64, -591, -363, 68, 480, 199, -856, -282, 3, -289, -663, 69, -59, -4, -1242, -388, -306, 874, 457, -576, -1789, 516, -711, -1059, 633, 29, -722, -11, -1068, 11, 9, -545, -146, 58, 476, -510, 554, -112, 112, -455, -51, -282, 280, -1, -1025, 90, -430, 519, -569, 467, 383, 201, 1052, -60, 959, -381, 318, -283, -1329, 433, -28, -147, -411, 478, 89, -517, -144, 78, -113, 1087, -729, -778, -123, 688, -1024], "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": "6019.2.a.c", "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}