# Stored data for newspace 2736.2.gw, downloaded from the LMFDB on 25 April 2024. {"label": "2736.2.gw", "level": 2736, "weight": 2, "char_conductor": 2736, "char_degree": 12, "char_parity": 1, "sturm_bound": 960, "dim": 5712, "eis_dim": 96, "eis_new_dim": 96, "cusp_dim": 5712, "mf_dim": 5808, "char_order": 36, "char_orbit_label": "gw", "char_is_real": false, "Nk2": 10944, "analytic_conductor": 21.847069993022313, "level_radical": 114, "mf_new_dim": 5808, "char_values": [2736, 36, [1711, 2053, 1217, 1009], [18, 27, 12, 2]], "trace_display": [-6, -12, -6, 12], "traces": [5712, -6, -12, -6, -6, -12, 12, -36, 0, -24, -12, -18, -6, 18, 0, -6, -48, 0, -24, -12, 6, -6, -12, -12, 0, 36, -18, -48, -6, 78, 0, -6, -24, -6, -54, -12, 0, -6, -48, -6, 0, -36, -6, -90, -6, -36, 0, -12, -2700, 0, -12, -6, -24, -78, -48, 126, 0, -12, -6, -96, -6, -36, 0, -12, 0, 108, -6, 6, -18, 78, -48, -48, 0, -90, 0, -6, -96, 0, 0, -24, -24, -24, 6, -18, -6, -6, -12, -18, 0, 96, -66, -6, -48, 0, 0, 30, -12, -78, 96, -24, -6, -6, -36, -222, 0, -12, -36, 84, -24, -6, 0, 78, 0, -120, -12, 216, -12, -24, 156, -90, 0, -18, -12, -102, -12, -18, 0, 582, 24, 42, -6, 0, 78, -48, -24, -120, 0, -42, 138, -156, -18, -6, 0, 102, -72, -126, -192, -6, -6, -120, 0, -24, 0, -66, -126, 432, -6, 186, 0, 0, -132, 12, -12, -18, 120, -42, -12, 60, 0, 0, -96, -48, -6, 150, 0, -6, -24, 6, -36, -216, -24, 156, -36, -102, 0, -84, -72, -150, 126, -24, 0, -72, -12, -6, 54, 126, -12, -18, -48, -54, 0, 0, -186, -468, -6, 240, 0, 0, 84, -66, -6, -102, -12, -6, -48, -6, 0, 108, -12, -138, 0, 90, 0, -66, -24, -48, 0, -204, -12, 390, 60, -6, 0, -66, -12, 0, -12, 78, 0, -342, -12, -12, 108, 12, 138, 0, -12, 36, 0, -6, -24, 504, -90, 6, 0, -6, -12, -186, 108, 150, -12, -24, -12, 48, 0, 510, 240, -6, -24, -336, 0, 120, 156, -18, 258, 48, -12, -36, -240, -66, 0, -96, -6, 0, -12, -156, 0, -222, -48, -282, -180, -12, -18, 240, -12, 36, 0, -24, -6, -30, 78, 132, 0, 246, -96, 294, -24, 78, -30, -66, -24, -162, 0, 564, 78, -36, -6, -276, 0, 906, -24, 126, 144, -24, 6, -210, -24, 90, 0, 270, 0, -498, -288, 168, 0, 564, -12, 570, 90, -72, 0, -234, -264, 858, 0, 246, -6, 144, 6, -1656, 0, -24, -24, 450, -6, -6, 30, -6, -48, -558, 0, 168, 24, 438, -678, -420, 0, -12, -36, -276, 78, -486, 0, -102, -24, -198, 0, 66, 0, -390, -216, -30, 0, 402, 156, 204, -6, -36, -6, -150, 12, 0, 0, -6, -192, 240, -24, 450, 0, -12, -12, 480, -318, -372, 324, 30, 0, 396, 0, 6, -18, -54, -66, -180, 0, 522, -144, -6, -204, -876, -6, -390, 360, 264, 0, -18, 78, -162, -264, -18, 0, -240, -48, -54, -468, 0, -6, 72, -12, -576, 0, 36, -198, -54, -18, -342, 0, 156, -72, -222, 42, 96, -198, -258, 504, -570, 0, -564, 126, 216, -6, 282, 0, -1278, -384, -258, -264, -522, -66, 1266, -192, -6, 0, 0, -6, -516, -12, 168, 0, -228, -12, -396, -18, 90, -24, -42, -72, 120, 0, 198, 18, -432, 0, -264, 0, -120, 156, -510, -6, 90, 378, 0, -48, -84, 0, -18, 66, -6, -6, 318, 0, 0, -24, -48, -66, -300, 258, 240, -24, 102, 0, 306, -24, -180, -18, -6, 0, -744, -12, 294, -648, -66, -12, -66, -156, -486, 0, -6, -102, -828, -168, -210, 0, 0, -12, 1158, -6, -468, -12, 0, -12, 6, 0, 204, -264, -6, -24, 42, 0, 798, -264, 6, 0, -480, -354, -150, 324, -120, 0, 534, -12, 330, 66, -138, 0, -96, -24, 0, 192, -414, 174, -522, -12, 1296, 0, 174, -6, 342, -120, 186, 0, 426, 432, -1110, -66, 246, -738, -144, 948, -618, 0, -78, 480, -72, 48, -216, 0, -192, -132, -270, -360, 426, -24, 342, 1188, -18, 0, -540, -12, -396, -390, -36, 0, 450, -12, 0, -312, -12, 384, -558, -48, 414, 0, -12, -18, -102, 234, 180, 0, 408, -12, -36, -6, -450, 0, -258, -96, -408, 0, -246, -72, -6, -12, -306, 0, 204, -12, -162, 594, -648, -150, 1050, -432, 0, 0, -456, -24, -660, -12, 18, 0, 270, 0, 648, -312, -156, -810, 696, 156, 222, 0, -336, 0, -864, -48, 1266, 0, -6, -12, -240, 6, -36, 636, -24, -1272, -1098, 0, -6, 288, 78, -24, -1008, 0, -228, -24, -54, 78, 714, 138, -12, -36, -180, 0, 846, 0, -996, -558, -258, 0, 144, 0, 1218, 240, -366, 192, 750, -12, -372, 0, 612, -390, 366, 6, 0, 0, -6, -48, -468, 480, 0, -480, -96, -12, -1512, 0, 660, -318, -12, 0, 402, 0, -258, -36, -6, -84, -834, -24, 912, 0, -378, 0, 1176, 78, 48, 60, -672, 0, -18, -12, 378, -102, -18, -24, -450, -348, 606, 0, 0, 246, 576, -72, -948, 0, 702, -12, 240, -18, -246, 252, -12, -324, 234, 0, 48, -534, -6, 0, -684, 0, 804, -264, -24, 60, 108, 156, -2034, 2280, -6, 0, 1350, 120, 78, -12, 258, 0, -1116, -12, 768, -450, -264, -6, -444, -12, -204, 0, 78, -24, -606, -36, 342, 0, 138, 564, 702, 0, -12, -186, -204, -12, 1740, 0, -12, -6, 0, 54, -348, 0, -18, -24, 504, -732, 180, -6, 0, 600, -48, 0, 696, -6, -1476, -210, 6, 0, 156, -48, 924, -18, 264, 258, -1068, -12, 696, 0, 192, -594, -504, -6, -876, 0, -6, -24, 900, -24, 1398, -6, 0, 492, 522, 0, 348, 168, 0, 258, -84, 0, -336, 252, -30, -702, 462, -36, 774, -636, -42, 0, 708, -6, 930, 324, -6, 0, -18, -24, -786, -108, -222, -66, -432, -24, 0, 0, -582, -342, -18, -156, 1560, 0, 462, -12, 18, 306, -216, -48, -618, -1584, 606, 0, -180, -774, -246, -6, -720, 0, 588, 252, -24, -1278, -348, 0, -342, -144, 228, 0, -522, -84, 1218, -270, -18, 0, -228, 4248, 432, -126, -420, -6, 702, -12, -828, 0, 420, -192, -144, -66, 594, 0, 384, -36, 240, 60, -552, -18, -402, 780, -948, 0, 684, 1098, -258, -48, -528, 0, -630, -24, 78, -204, -1026, -6, 330, -12, 612, 0, 216, -6, -1098, -24, 0, 0, -42, -48, 564, 360, -132, -150, -114, 0, 1128, 0, -12, -18, -1392, -6, 342, 0, 354, 0, 1260, -48, 36, 120, -126, 684, -372, 0, -36, -1134, -354, -12, -1188, 0, 666, -24, -18, 54, 360, 42, -270, -24, 282, 0, -1068, -6, -240, -18, -210, 0, -642, 0, 1062, -180, -282, -24, 192, 0, 450, 0, -570, -774, -102, 138, -432, 0, 612, -12, -762, 6, 0, -12, 342, -48, 354, 0, 0, 312, -156, -48, -2082, 0, 876, 192, -300, 0, 174, -6, -198, -36, -774, 0, 1146, -66, -600, 0, 300, 0, -558, 192, -336, 426, -24, 390, -18, -12, 822, 0, -18, -1200, 756, -24, 930, 0, 252, -396, -618, -258, -720, -48, -780, 708, 192, 0, 258, 480, -12, -36, -336, 0, 558, -264, 18, 0, -1146, 30, 396, 984, 72, 0, -168, -384, -18, 324, 396, 0, -18, 96, 18, 936, 270, -6, -756, -12, -1068, 0, -66, -6, -864, 138, -12, 0, 138, -132, 1374, -36, -1266, -432, -330, -12, 726, 0, -126, 384, -402, -6, 1140, 0, -1014, -12, 0, 480, 126, -12, 1260, -792, 282, 0, -792, -66, 0, 246, -48, 0, -1044, 132, 2292, -924, -240, -36, 546, -48, -588, 0, 54, 78, -1314, -6, 1224, 0, 102, -24, 1362, 498, -366, 552, -318, -24, 1044, 0, -1698, 618, 0, -6, 612, 0, -954, -24, 0, 1020, 12, -6, -978, -420, -750, 0, -558, -234, 966, 234, -78, 0, -1830, -12, -1710, -444, 156, 126, 300, -600, -1530, 0, -294, -24, -126, -12, 0, 0, -222, 12, -18, 78, -24, 0, -24, -1500, 0, 0, 492, 636, 210, -24, 1284, 0, 6, -36, -420, 198, -270, -18, 792, -24, -438, 0, 282, 1080, 2394, -24, -18, 0, 1020, -48, -1476, -126, 702, -6, -126, -24, 900, 0, -636, 834, 216, -288, -1584, 0, 456, -48, -30, -24, -504, -348, 564, -36, 72, 0, 456, 1170, -636, 54, -1326, 0, -12, 0, 78, -1356, 264, -210, -294, 2136, 186, 0, 1872, -162, 2334, -198, -1008, 0, 1338, -12, 1068, -246, 756, -24, 540, -132, -42, 0, 444, 294, 924, 0, 2166, 0, -462, -36, 1416, -6, 1224, -648, -42, 0, 672, 0, 78, -126, 786, -678, -888, 0, 2412, -24, -636, -660, 1656, -6, 516, -720, -438, 0, -684, -744, 456, 24, -54, 0, 1512, 156, 552, -1386, -672, 1116, -330, 0, 978, 0, -582, 1908, 858, 0, 246, 0, -6, -12, 810, 198, 1206, -6, -954, -12, 642, 0, 0, 360, -126, -1104, 702, 0, -1278, 360, 174, -222, 762, -6, 2028, -24, -210, 0, -336, 78, 648, -18, 354, 0, 492, -48, 630, 0, -6, -12, -252, -12, 726, 0, -660, 318, -828, -6, 642, 0, 108, -420, -252, -24, -348, 402, -1188, 156, 156, 0, 672, -726, -528, -162, 1164, 0, 636, -264, -12, -36, -576, -66, 942, 1812, 1116, 0, 882, -12, -1302, -366, -420, 0, -1200, -24, -18, -618, -654, -12, -18, 228, -2226, 0, 42, -606, 1242, -6, -768, 0, -474, 156, 966, -534, -348, -18, 486, 552, 186, 0, 1530, 240, 534, -228, 960, 0, 840, -48, -48, -1830, -1308, -36, -1134, 1164, 0, 0, -360, -300, 1152, -1026, -426, 0, -522, -12, 0, -276, -132, -414, -1530, -12, -48, 0, -462, -36, 744, -24, -2436, 0, -6, -12, 2130, -126, 252, 0, 192, -24, 840, 0, 54, -1134, 624, -444, 1206, 0, 942, -12, 0, -294, 1278, 372, -1176, -708, 0, 0, -714, -6, -444, 24, 246, 0, 822, -72, -1056, 396, 6, 0, -1920, -12, 324, 0, -24, -198, 780, -12, -1788, 0, 414, -48, -18, 30, 0, 78, 570, -756, 1152, 0, -66, -546, 186, 810, 0, 0, -342, 456, 294, -24, -1746, -24, 6, -36, 438, 0, 66, -18, -144, -180, -24, 0, 828, 0, -2550, 888, -402, -408, 1698, -48, -558, 0, 630, -2352, -48, 156, 1620, 0, 72, -60, 66, -294, 252, 102, 24, -48, 1560, 0, 366, 558, -12, 306, -150, 0, -432, -36, -270, -6, -546, -6, 162, 0, 420, 0, -792, -54, -306, 528, -1194, 0, 1494, -300, -2814, 420, -36, -6, 1644, -1284, -2118, 0, 468, -552, -570, -24, 504, 0, -6, -12, -858, 0, 1908, 30, -12, -36, -2082, 0, -1194, -582, -30, 0, 1110, 0, -2754, -24, 804, 468, -708, 6, 2880, 1620, -246, 0, -1908, -6, -6, -594, 36, 0, 1296, -132, -732, -162, 300, 498, 2892, -12, 408, 0, 408, -1020, 1278, 0, 792, 0, 228, -48, -738, 0, 1488, -150, -318, 540, -648, 0, -2172, 342, 612, 1158, 546, 0, 0, -24, 306, -456, -816, -54, -1944, 2184, -12, 0, -1098, -432, 1908, -402, -156, 0, -618, -588, -276, 1278, 114, -888, 696, -48, -1470, 0, 246, 756, 1374, -6, 1422, 0, 1086, 12, 198, -258, 150, -774, -1134, 1980, 660, 0, 852, 942, 0, -1014, 486, 0, 1200, 24, -162, -1170, 360, 648, 1170, 1536, -12, 0, 774, -228, -378, -474, -774, 0, 78, -24, 1410, 162, -72, -270, -1278, -24, 1674, 0, 78, 588, 1746, -90, -2394, 0, -726, 156, -1296, -6, 1584, -534, 288, -684, 912, 0, 660, -18, 90, -792, -354, 0, -810, -408, 192, 630, 1572, 0, 558, 1536, 0, 0, 1380, -6, 0, 510, 0, 0, 768, -24, -1170, 504, 1410, -678, -576, -12, 0, 0, -48, -246, 1620, 768, 666, 0, 6, -72, -438, 294, 1236, -810, -654, 3492, 1866, 0, -282, 1728, 240, 1140, 252, 0, 2646, 264, -1446, -252, 1440, -306, 1122, 1092, 0, 0, -1356, -6, 294, -558, 0, 0, -540, 192, 306, -240, -6, -300, 1260, -72, -1350, 0, 870, 0, 948, -6, 552, 0, -126, 0, -792, -96, -1482, -288, -564, -1248, 234, 0, 0, -1104, -738, 6, 2448, 0, -2694, -576, -12, -480, 828, -234, -546, -24, 1746, 0, 1764, -180, -606, -18, -6, 0, 150, -36, 174, 138, -24, -6, 1290, 0, 114, 0, -384, 1032, -468, -66, -492, 0, -18, 180, 480, -12, 1512, 282, -780, -12, -1026, 0, 0, 390, 312, -24, 1578, 0, -2868], "level_primes": [2, 3, 19], "relative_dim": 476, "hecke_orbit_code": 12232100416176, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 179, "prim_orbit_index": 179, "conrey_index": 211, "newforms": [], "oldspaces": []}