# Stored data for newspace 1512.2.di, downloaded from the LMFDB on 25 April 2024.
{"label": "1512.2.di", "level": 1512, "weight": 2, "char_conductor": 1512, "char_degree": 6, "char_parity": 1, "sturm_bound": 576, "dim": 1704, "eis_dim": 48, "eis_new_dim": 48, "cusp_dim": 1704, "mf_dim": 1752, "char_order": 18, "char_orbit_label": "di", "char_is_real": false, "Nk2": 6048, "analytic_conductor": 12.073380785617594, "level_radical": 42, "mf_new_dim": 1752, "char_values": [1512, 18, [1135, 757, 785, 1081], [9, 9, 16, 3]], "trace_display": [-3, -18, 0, 0], "traces": [1704, -3, -18, -3, 0, 0, 0, -6, -6, 0, -6, -9, 0, 9, 0, -3, 0, -3, 0, 0, 0, -12, 0, -9, -6, -18, 0, -12, 0, 33, 0, -33, -18, 18, -6, -42, 0, 81, 0, -54, 0, 9, -24, 3, 0, 3, 0, 0, -12, -27, 66, -9, 0, -135, 0, -69, -6, -3, -18, -33, 0, -99, 0, -6, -6, -9, -6, 36, 0, -60, 0, -111, -18, 69, -18, 36, 0, -30, 0, -18, -6, -18, 180, 66, 0, -81, 0, 45, 0, 81, -6, -72, 0, -9, 0, -9, 0, 111, -24, -6, 0, -36, 0, 0, -30, 21, -12, 81, 0, -153, 0, 39, -24, -93, -18, 54, 0, 0, 0, -114, -6, -9, -6, -9, 0, 3, 0, 18, -18, -3, -18, 27, 0, -144, 0, 54, -6, -9, 0, -81, 0, -15, 0, -87, -18, -18, 108, 90, 0, 126, 0, 135, 162, -3, -144, -63, 0, 63, 0, 0, 0, -192, -12, -216, 0, -9, 0, -171, -24, 234, -18, -6, 0, 369, 0, 138, -6, 126, -12, -9, 0, 177, 0, 21, -18, -123, -18, 0, 0, 36, 0, 18, -6, 225, 0, 39, 0, -36, 0, -51, -18, 0, -144, 24, 0, 0, 0, 0, 198, 39, -24, -60, 0, 9, 0, -189, -24, -93, -210, -45, 0, -54, 0, -159, -24, 3, -18, -48, 0, -135, 0, -60, 6, -9, 6, -9, 0, -12, 0, 102, -18, -93, -18, 0, 0, -348, 0, -252, -6, -9, 0, 93, 0, -81, 0, -3, -18, 0, -54, 216, 0, -9, 0, -198, 0, -129, 126, -93, 0, -63, 0, 144, 24, 78, -36, -252, 0, 0, 0, 45, 24, 138, -18, -264, 0, 18, 0, 303, -1332, -99, 162, -9, 0, -282, 0, -150, -162, -6, -18, -342, 0, 9, 0, -9, -42, -324, 0, -444, 0, -228, 0, 159, -18, -315, -120, -6, 0, -234, 0, -9, 0, -201, 156, -291, 0, 159, 0, 0, 228, -129, -6, -9, 0, -9, 0, 150, -24, -288, -18, 138, 0, 162, 0, -3, 42, -9, -234, 225, 0, -207, 0, -6, -18, -285, -18, 36, 0, 72, 0, 360, -1284, -306, 0, -198, 0, -39, 0, 258, -18, -180, 162, 153, 0, -189, 0, -81, 0, 126, -48, 309, 0, 195, 0, 0, -30, -282, -6, 0, 0, -270, 0, -21, -24, 183, 0, -144, 0, -18, 0, -72, -6, -279, -6, 504, 0, -12, 0, 57, -18, -93, 666, 270, 0, -147, 0, -315, -6, 162, 0, 318, 0, 219, 0, -21, -234, 315, 348, 189, 0, 81, 0, 315, 0, -345, -6, -27, 0, 117, 0, 468, 156, -57, -6, -9, 0, 450, 0, -171, -12, -570, -18, -168, 0, -270, 0, 264, -6, -18, 96, -18, 0, 180, 0, 69, -18, -90, 0, -441, 0, -216, 0, -9, -6, 36, 342, -12, 0, -6, 0, 117, -18, -297, -234, 207, 0, 387, 0, 243, 0, 195, -264, 357, 0, 261, 0, 0, -6, -156, -6, -198, 0, -27, 0, 24, -12, 321, -774, 252, 0, 216, 0, 732, 108, -18, -606, -9, 0, -30, 0, -27, -18, -354, -18, 270, 0, -228, 0, -180, -6, 783, -180, 54, 0, 177, 0, 63, -18, 0, -360, 594, 0, -549, 0, -9, 360, -126, -24, -456, 0, -66, 0, -846, -12, 180, 54, 369, 0, -90, 0, -348, 78, -183, -18, 123, 0, 0, 0, -120, -294, -351, -6, -414, 0, -243, 0, 105, 0, -72, -18, -81, 0, 219, 0, 0, 354, 0, 936, 213, 0, -126, 0, -99, -36, -198, 78, 276, 0, -9, 0, 522, 0, -357, -264, 3, 0, -276, 0, 477, -60, 132, -162, 144, 0, -9, 0, -57, -96, 285, -18, 231, 0, 0, 0, 453, 54, -513, 450, -9, 0, 273, 0, 105, -18, -3, -108, -162, 0, 450, 0, -9, 138, -225, 0, -180, 0, 126, 0, 78, -36, 531, -306, 264, 0, -567, 0, 0, -162, -3, -552, -363, 0, -60, 0, 270, 450, 483, -12, 360, 0, 36, 0, 684, -24, -312, -18, -6, 0, -432, 0, 147, 234, -9, 6, 720, 0, -939, 0, 33, -252, 45, -18, 459, 0, -6, 0, 396, 96, -9, 54, -120, 0, -465, 0, -42, -90, 513, -732, 207, 0, 81, 0, 135, 0, 636, -366, 423, 0, -51, 0, -441, -6, 252, -750, -387, 0, 720, 0, 249, 264, 54, 288, 429, 0, 162, 0, -138, -204, 378, -12, 549, 0, -129, 0, 231, -18, 564, -18, 306, 0, 471, 0, 315, -282, -243, 0, -18, 0, 435, 0, 369, 702, 0, -54, 432, 0, 0, 0, 126, 0, -453, -384, 168, 0, -303, 0, 189, 54, -138, 108, 522, 0, 1044, 0, -12, -312, -3, -18, -66, 0, -72, 0, 369, 6, -90, 852, -495, 0, 699, 0, -474, -162, 3, -18, -459, 0, 705, 0, -9, 36, 747, 0, 711, 0, -135, 0, -60, 324, 621, -174, -6, 0, -9, 0, -810, 0, -261, 240, 528, 0, 93, 0, 0, 120, 588, -6, -423, 0, -18, 0, -396, -96, 54, -18, 159, 0, -423, 0, 126, 42, 54, 78, -468, 0, 51, 0, -54, -18, 57, -18, 612, 0, -222, 0, -279, -12, 765, 252, 396, 0, 531, 0, -288, -18, 342, -216, -48, 0, -513, 0, -153, 0, 456, -12, -390, 0, -453, 0, -522, -126, 1524, -6, -18, 0, -9, 0, 39, 360, 9, -18, 297, 0, 828, 0, 63, 444, 180, 174, -1071, 0, 195, 0, -57, -18, 75, -18, 0, 0, 1089, 0, 720, 36, -9, -1044, -21, 0, -918, 0, -6, -18, -1359, 216, -363, 0, -9, 0, -81, 0, -297, -24, -165, 0, -6, 0, 0, -246, -24, 114, 603, 0, -423, 0, -60, -108, -132, 0, -102, 0, 0, 0, -495, -6, 0, 702, 0, 0, 228, 0, 558, 234, 195, 792, 9, 0, 729, 0, -144, 234, 729, 198, 369, 0, 138, 0, 276, -108, 999, -120, 171, 0, 288, 0, -288, 0, -39, 378, -375, 0, 351, 0, 0, -198, 903, 402, 504, 0, -9, 0, -309, -12, -177, -18, -129, 0, -549, 0, -618, 90, -9, -210, 207, 0, -225, 0, -363, -684, 99, -36, -423, 0, -237, 0, 504, -6, 0, 0, -171, 0, -336, 0, -384, -738, -531, -378, -573, 0, 378, 0, 63, 0, 1176, -24, 792, 0, -57, 0, 792, -12, 435, -642, -189, 0, 864, 0, 1335, -468, -450, 378, 168, 0, 882, 0, -6, -354, 783, 414, -333, 0, -309, 0, 738, -36, -57, 324, 675, 0, 378, 0, -135, 138, -9, 0, -933, 0, 459, 0, 243, -18, -423, -6, -834, 0, 450, 0, -1035, 306, 483, -288, 129, 0, -138, 0, -387, -618, 354, -780, -702, 0, 333, 0, -561, -150, 555, -18, -774, 0, 0, 0, -564, -6, 180, 252, -576, 0, 141, 0, -594, -72, 96, -18, 333, 0, 666, 0, 0, -6, 54, -558, 579, 0, 498, 0, 585, 0, 486, -852, -333, 0, 504, 0, -1440, 0, -282, -600, 48, 0, 186, 0, 531, 474, 699, 6, 333, 0, 1044, 0, -1275, 108, -300, -18, 3, 0, -792, 0, -816, 546, 369, -12, -1152, 0, 1032, 0, -69, -18, 237, -18, -675, 0, -6, 0, -450, -6, -972, 0, -816, 0, 456, 0, -495, 702, -585, -204, -993, 0, -630, 0, 153, 0, -618, -300, 285, 0, -213, 0, 783, -6, 654, -426, 90, 0, -558, 0, -264, 72, -6, 630, 6, 0, 549, 0, 18, 192, -288, -12, -1026, 0, -57, 0, -903, -234, -480, -18, 0, 0, 9, 0, 459, -246, 9, 0, -510, 0, -510, 0, -12, -432, -522, 30, -1344, 0, -108, 0, -81, 342, 66, -762, -111, 0, 216, 0, -1332, -108, -633, 402, 27, 0, -1197, 0, -27, 600, -555, 1062, 48, 0, 0, 0, -1194, -12, 612, 324, 108, 0, -90, 0, 1080, -954, -438, -18, 1179, 0, -513, 0, 693, -204, 117, 0, 495, 0, -228, 0, -120, -18, 0, 384, -24, 0, 477, 0, 378, -648, -243, -372, -120, 0, -417, 0, 0, 204, -564, -6, 0, 0, 0, 0, -513, 180, 639, 1116, 123, 0, -99, 0, -1059, -138, 369, 1374, -558, 0, 384, 0, 105, -162, 387, -18, -1395, 0, 72, 0, -306, 426, -531, 504, -108, 0, -324, 0, -546, -234, 0, -270, -867, 0, 864, 0, -81, -576, -357, 216, 279, 0, -123, 0, 1008, -96, -753, -6, -9, 0, -144, 0, 600, -6, 669, -36, -123, 0, -792, 0, 186, -126, 774, 96, 0, 0, 132, 0, 675, -252, -543, -1638, 0, 0, -363, 0, -702, 450, 198, -1584, -1137, 0, 546, 0, 234, -18, 954, -192, -954, 0, 126, 0, -1818, 0, 1647, 534, -642, 0, 102, 0, -981, 210, 54, 306, -1107, 0, -405, 0, -405, -48, 1059, -36, -72, 0, 153, 0, -609, -6, -747, 426, -9, 0, -1410, 0, -480, -18, -447, 1458, 630, 0, -663, 0, -9, -6, -1458, 0, -375, 0, 210, 0, 120, -18, -711, 558, 186, 0, -387, 0, -594, 288, 495, 744, -435, 0, -696, 0, 405, 1008, -804, 390, 45, 0, 495, 0, -366, 156, -606, 1746, 651, 0, 684, 0, -891, 474, 0, 966, -162, 0, 456, 0, 345, 0, 780, 0, -585, 0, 108, 0, -909, 168, -1242, 1638, -453, 0, 456, 0, 540, -18, -639, 822, -576, 0, 144, 0, 558, 648, -1629, -384, 771, 0, 117, 0, 981, 60, -1371, -462, 603, 0, -1332, 0, -924, 426, -264, 1062, -417, 0, -864, 0, -102, -84, -1026, -366, 927, 0, 579, 0, -1008, -18, -132, 342, -657, 0, -1653, 0, 486, 42, -18, -2034, 963, 0, 444, 0, -438, 0, 801, -6, -393, 0, -9, 0, 612, 0, -9, 498, -6, 0, -36, 0, -1053, 18, -405, -444, 144, 0, -990, 0, 621, -144, -1086, -18, 81, 0, 90, 0, -147, -282, 783, -348, -306, 0, -621, 0, 636, -18, -669, -18, 558, 0, -1428, 0, -18, -48, -279, 0, -468, 0, 99, 0, -606, -18, -1710, -456, -762, 0, -27, 0, 1269, -666, 201, 504, 762, 0, -540, 0, 72, 408, -1794, -12, -837, 0, -9, 0, 309, 120, 1392, 288, -6, 0, 1809, 0, 246, 90, -756, 900, -252, 0, 486, 0, -609, -234, -255, -18, 0, 0, 198, 0, -504, -132, 567, 0, -423, 0, 114, 0, 639, -738, 0, 1272, 741, 0, 0, 0, 0, 0, -258, -24, -723, 0, 165, 0, -351, 90, -1674, 666, 27, 0, -864, 0, -504, 168, 219, -18, -423, 0, -1827, 0, 162, -354, -306, 6, 666, 0, 105, 0, 351, -18, -426, -18, 0, 0, -879, 0, -1269, -294, -9, 0, -147, 0, 123, 0, -291, -18, 1827, -708, 1020, 0, -9, 0, -189, 0, 870, -684, 354, 0, 81, 0, 1080, 330, -531, 342, -981, 0, 0, 0, 159, -36, 726, -18, 336, 0, -639, 0, 627, -12, -747, -1158, -9, 0, -1266, 0, -486, -18, 24, -18, -729, 0, -1071, 0, -9, -474, -2133, 306, -2025, 0, 249, 0, 69, -18, -756, 804, -222, 0, -1746, 0, 684, 54, 315, -1224, -879, 0, -627, 0, 855, 276, -900, 108, 288, 0, 225, 0, 1872, -24, -663, 1242, -255, 0, 720, 0, 828, 186, 828, 1554, 2097, 0, -903, 0, 18, -18, -294, -558, 855, 0, -78, 0, 477, -12, -513, 0, -123, 0, -723, 0, 858, 324, 405, -162, 987, 0, -135, 0, -333, 0, -519, -48, 495, 0, -660, 0, -927, 30, -858, -6, 0, 0, -567, 0, -825, -516, -27, 0, -99, 0, -819, 0, -393, 474, -954, -6, 1566, 0, -174, 0, -480, 288, 36, -1638, -333, 0, -1008, 0, 144, 450, 837, 0, 1803, 0, 960, 0, 3, 198, 1080, 492, 1446, 0, -9, 0, 1737, 0, -1494, 72, -477, 0, -945, 0, 729, -246, -6, -30, 1143, 0, 855, 0, -777, -42, -930, -18, 879, 0, 0, 0, 1869, -270, -234, -774, 468, 0, 1155, 0, -252, 702, 198, 0, -1431, 0, -87, 0, 171, -78, 747, 0, -186, 0, -246, 0, -510, -18, -1269, 1578, -507, 0, 0, 0, 1035], "level_primes": [2, 3, 7], "relative_dim": 284, "hecke_orbit_code": 5909908555240, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 87, "prim_orbit_index": 87, "conrey_index": 115, "newforms": [], "oldspaces": []}