# Stored data for newspace 1323.2.g, downloaded from the LMFDB on 19 April 2024. {"label": "1323.2.g", "level": 1323, "weight": 2, "char_conductor": 63, "char_degree": 2, "char_parity": 1, "sturm_bound": 336, "dim": 72, "eis_dim": 96, "eis_new_dim": 16, "cusp_dim": 288, "mf_dim": 384, "char_order": 3, "char_orbit_label": "g", "char_is_real": false, "trace_bound": 5, "num_forms": 8, "Nk2": 5292, "analytic_conductor": 10.564208187415394, "level_radical": 21, "mf_new_dim": 88, "char_values": [1323, 3, [785, 1081], [1, 2]], "hecke_orbit_dims": [2, 6, 6, 6, 6, 10, 12, 24], "trace_display": [1, 0, -10, 0], "traces": [72, 1, 0, -33, -10, 0, 0, 12, 0, 6, 6, 0, 3, 0, 0, -27, 9, 0, 0, 4, 0, 0, 8, 0, 42, 16, 0, 0, 18, 0, 3, -41, 0, 0, 0, 0, 3, -38, 0, -12, 10, 0, 0, 11, 0, -12, 27, 0, 0, 45, 0, -30, -16, 0, 6, 0, 0, -18, 30, 0, 0, -12, 0, 12, -30, 0, 6, -60, 0, 0, -6, 0, -12, 82, 0, -6, 0, 0, 18, 19, 0, 0, 18, 0, 3, 50, 0, 18, 41, 0, 0, 52, 0, 3, 17, 0, 3, 0, 0, -21, -50, 0, 12, -6, 0, -21, 11, 0, 18, 25, 0, 0, 43, 0, 42, -18, 0, -60, 0, 0, -30, 28, 0, -9, -42, 0, -72, -88, 0, 9, -106, 0, 0, -258, 0, 3, -146, 0, -6, 0, 0, -27, 32, 0, 9, -18, 0, -63, 140, 0, -84, 27, 0, 0, -70, 0, -33, -77, 0, 24, 0, 0, -6, -28, 0, 6, 38, 0, 15, -135, 0, -48, 46, 0, 0, 109, 0, 48, -78, 0, 72, 0, 0, 174, -9, 0, 12, 60, 0, -42, 7, 0, -27, -66, 0, 0, -14, 0, 27, 134, 0, 48, 0, 0, -42, 14, 0, -15, 23, 0, 15, 36, 0, 174, 61, 0, 0, 133, 0, 27, 50, 0, -9, 0, 0, 42, -42, 0, -72, -45, 0, -60, -68, 0, -24, 60, 0, 0, 34, 0, -72, -1, 0, 0, 0, 0, -78, 18, 0, 21, -112, 0, 78, 65, 0, 51, -74, 0, 0, -254, 0, -57, 22, 0, -48, 0, 0, 135, 6, 0, 9, -18, 0, 0, 234, 0, 0, -15, 0, 0, 90, 0, 39, 54, 0, -45, 0, 0, 9, -44, 0, 42, 7, 0, 15, -51, 0, 0, 36, 0, 0, -225, 0, -30, 79, 0, -108, 0, 0, 0, 51, 0, 9, 70, 0, -114, -142, 0, 72, 68, 0, 0, 12, 0, -9, 442, 0, 6, 0, 0, 75, 9, 0, 36, 53, 0, 27, -320, 0, -288, 30, 0, 0, 77, 0, -66, 51, 0, 9, 0, 0, -120, 38, 0, 48, 16, 0, 42, 1, 0, 78, -44, 0, 0, -23, 0, 96, 29, 0, 150, 0, 0, 12, 9, 0, -24, -22, 0, -78, 75, 0, -42, -60, 0, 0, 10, 0, 102, -284, 0, 45, 0, 0, -81, 16, 0, -33, -87, 0, 111, -192, 0, -36, -4, 0, 0, -19, 0, 30, -69, 0, 0, 0, 0, 99, 74, 0, 66, 75, 0, 72, 13, 0, 36, -18, 0, 0, 159, 0, -150, 108, 0, 12, 0, 0, -114, -48, 0, -57, 48, 0, 132, 56, 0, -39, 64, 0, 0, 430, 0, -48, 52, 0, -90, 0, 0, 69, 8, 0, -33, 64, 0, 30, 440, 0, 60, -24, 0, 0, 110, 0, 57, -249, 0, -6, 0, 0, -18, -152, 0, 78, -61, 0, -3, 69, 0, 90, -63, 0, 0, -112, 0, 48, -224, 0, -96, 0, 0, -78, -36, 0, 3, -96, 0, -228, 82, 0, 120, -20, 0, 0, 314, 0, -18, -56, 0, 33, 0, 0, -3, -18, 0, -9, -32, 0, -69, -254, 0, -288, -75, 0, 0, -145, 0, -126, 157, 0, 36, 0, 0, 33, 64, 0, -78, 30, 0, -15, 316, 0, -93, 53, 0, 0, 142, 0, 222, 124, 0, 102, 0, 0, 342, 20, 0, 36, 82, 0, -114, -210, 0, -30, 94, 0, 0, -210, 0, 87, -330, 0, -3, 0, 0, -174, -66, 0, -51, 59, 0, 9, -356, 0, 474, -30, 0, 0, -556, 0, 60, 8, 0, -33, 0, 0, 120, 118, 0, -114, -121, 0, 30, -107, 0, -3, -83, 0, 0, 25, 0, -216, -352, 0, 12, 0, 0, -300, -52, 0, 33, 6, 0, 246, 281, 0, 45, 96, 0, 0, -278, 0, -126, -168, 0, -33, 0, 0, 54, 19, 0, 27, -40, 0, -24, 20, 0, -168, -73, 0, 0, -145, 0, 93, 121, 0, -48, 0, 0, -132, 94, 0, -120, 77, 0, 48, 82, 0, 93, -21, 0, 0, -170, 0, -12, 197, 0, -108, 0, 0, -162, -36, 0, -21, 26, 0, -48, 232, 0, 45, 322, 0, 0, 86, 0, -87, -200, 0, 15, 0, 0, -42, -123, 0, 96, -75, 0, -78, 366, 0, -240, 36, 0, 0, 84, 0, -153, 272, 0, 102, 0, 0, 24, -24, 0, 18, -81, 0, -18, 26, 0, -75, -153, 0, 0, -294, 0, 186, 37, 0, 66, 0, 0, 144, -21, 0, -9, -122, 0, 12, -363, 0, -117, 36, 0, 0, -220, 0, 186, 622, 0, 66, 0, 0, -108, -104, 0, 60, -3, 0, 114, -408, 0, 312, -84, 0, 0, -28, 0, 42, -384, 0, 3, 0, 0, 177, 156, 0, 24, -4, 0, 15, 168, 0, 90, -87, 0, 0, 53, 0, -264, 204, 0, 0, 0, 0, -306, 20, 0, -54, 296, 0, 246, 10, 0, -114, 132, 0, 0, 580, 0, -48, -200, 0, -57, 0, 0, 126, 10, 0, 27, 65, 0, 24, -494, 0, 54, -75, 0, 0, 293, 0, 72, 239, 0, -69, 0, 0, -159, 284, 0, 180, 5, 0, -120, -305, 0, 12, -95, 0, 0, 120, 0, 0, 442, 0, -258, 0, 0, -48, -129, 0, 3, -72, 0, 0, 94, 0, 9, 28, 0, 0, 1344, 0, -51, -316, 0, 27, 0, 0, -225, 48, 0, -78, -1, 0, -117, 678, 0, 174, -156, 0, 0, 104, 0, -129, -363, 0, 114, 0, 0, -48, -12, 0, -78, -21, 0, -60, 324, 0, -270, -23, 0, 0, -17, 0, 396, -149, 0, 90, 0, 0, 498, -92, 0, 81, 48, 0, 438, 137, 0, -78, 134, 0, 0, -134, 0, 108, -740, 0, 96, 0, 0, -21, -15, 0, -120, -77, 0, -3, -282, 0, -30, -3, 0, 0, -152, 0, 30, 347, 0, -9, 0, 0, 18, -114, 0, -96, 69, 0, 195, 172, 0, 81, 0, 0, 0, -41, 0, -288, -99, 0, 108, 0, 0, 288, -44, 0, 39, -120, 0, 126, -163, 0, -195, 118, 0, 0, -188, 0, -111, -192, 0, -156, 0, 0, 381, -109, 0, -75, -130, 0, -21, 82, 0, -228, -60, 0, 0, -272, 0, 90, 15, 0, -63, 0, 0, -129, 142, 0, 18, -2, 0, -276, -477, 0, 57, 26, 0, 0, 227, 0, 42, -356, 0, -126, 0, 0, -372, -12, 0, 15, 268, 0, -210, 109, 0, 180, 48, 0, 0, -134, 0, 15, 830, 0, 129, 0, 0, 147, -120, 0, 105, 135, 0, 45, -366, 0, -174, -20, 0, 0, -104, 0, -90, 21, 0, 15, 0, 0, -27, 94, 0, 18, -36, 0, 150, 319, 0, -69, -94, 0, 0, -272, 0, 108, 287, 0, 288, 0, 0, 168, -20, 0, 3, 124, 0, 30, 136, 0, -246, 24, 0, 0, -442, 0, 126, -202, 0, -42, 0, 0, -318, 113, 0, 87, -5, 0, 267, 836, 0, 432, -36, 0, 0, 180, 0, 48, 372, 0, -57, 0, 0, 39, -22, 0, 132, 6, 0, 99, 150, 0, 198, 12, 0, 0, -633, 0, -330, 119, 0, 54, 0, 0, -90, -24, 0, -51, -78, 0, 156, -141, 0, 3, 120, 0, 0, -486, 0, -69, 1158, 0, -60, 0, 0, -39, 26, 0, 54, 0, 0, -153, -916, 0, 252, 39, 0, 0, 159, 0, 48, -145, 0, -81, 0, 0, -171, 32, 0, 84, -110, 0, -198, -190, 0, -318, 60, 0, 0, -367, 0, 120, 215, 0, -210, 0, 0, 222, 33, 0, -165, -218, 0, -234, 249, 0, 282, -96, 0, 0, 468, 0, -36, -422, 0, 39, 0, 0, -96, -95, 0, -39, -112, 0, -333, -1014, 0, -12, 80, 0, 0, 190, 0, -123, 151, 0, 162, 0, 0, -18, -18, 0, -18, 6, 0, -249, -628, 0, -285, -40, 0, 0, 326, 0, 174, 83, 0, -18, 0, 0, 684, 139, 0, 48, -206, 0, -678, 56, 0, 306, 114, 0, 0, 660, 0, 87, 144, 0, 60, 0, 0, 147, 85, 0, -75, 48, 0, -81, 1360, 0, -54, 9, 0, 0, 149, 0, 153, -558, 0, 27, 0, 0, 399, 20, 0, -186, 9, 0, -117, 81, 0, 57, 36, 0, 0, 275, 0, -186, -439, 0, -84, 0, 0, -162, 89, 0, 99, 134, 0, -372, 237, 0, -165, -244, 0, 0, -286, 0, -162, -516, 0, -33, 0, 0, 222, 33, 0, 12, 39, 0, -282, -38, 0, 294, 34, 0, 0, -363, 0, 114, 43, 0, -207, 0, 0, -159, 46, 0, 72, 103, 0, 33, 259, 0, -33, -19, 0, 0, 268, 0, -120, -5, 0, -132, 0, 0, -972, -43, 0, 36, 162, 0, 408, -402, 0, 54, -160, 0, 0, -572, 0, -18, -428, 0, -24, 0, 0, 12, 54, 0, 18, 47, 0, 99, -622, 0, -234, -42, 0, 0, -757, 0, -147, 222, 0, 135, 0, 0, -63, -288, 0, -54, -21, 0, 222, -209, 0, -267, 84, 0, 0, 242, 0, 192, -519, 0, 84, 0, 0, 252, -8, 0, 45, -374, 0, -186, 374, 0, -51, -66, 0, 0, -780, 0, 234, 932, 0, 144, 0, 0, -84, -21, 0, 39, 117, 0, 36, -362, 0, 108, 8, 0, 0, -123, 0, 75, 280, 0, 99, 0, 0, 261, -90, 0, 192, -75, 0, 75, 295, 0, 216, 149, 0, 0, -280, 0, -138, 292, 0, 168, 0, 0, -54, 124, 0, -78, -152, 0, -180, 166, 0, 3, -46, 0, 0, -508, 0, -30, -696, 0, -207, 0, 0, 39, 21, 0, -51, -34, 0, -102, 1168, 0, -300, 78, 0, 0, 467, 0, 15, 181, 0, -60, 0, 0, -24, -52, 0, -6, 92, 0, -336, 306, 0, 114, 86, 0, 0, -239, 0, 204, -409, 0, -126, 0, 0, 162, -13, 0, -84, 174, 0, -162, -1007, 0, 87, 102, 0, 0, -588, 0, -9, 1100, 0, 117, 0, 0, 195, 199, 0, -12, -88, 0, 420, 186, 0, 120, 42, 0, 0, 71, 0, -252, -733, 0, 48, 0, 0, -210, -330, 0, -210, 102, 0, 66, 194, 0, 357, 23, 0, 0, 120, 0, 288, -111, 0, 132, 0, 0, 276, -152, 0, 108, 72, 0, 66, 318, 0, -66, -394, 0, 0, 934, 0, 27, -692, 0, -90, 0, 0, -273, 56, 0, -39, 20, 0, 24, -506, 0, -294, 107, 0, 0, 607, 0, 36, 27, 0, -114, 0, 0, 30, -192, 0, -312, 151, 0, 348, -662, 0, 132, -66, 0, 0, 379, 0, -300, 465, 0, 258, 0, 0, 36, 56, 0, 135, 296, 0, 714, 161, 0, -111, -70, 0, 0, 1642, 0, -261, 208, 0, -54, 0, 0, 174, -81, 0, -30, 12, 0, 315, 700, 0, -354, 107, 0, 0, 554, 0, 111, -557, 0, -21, 0, 0, -240, -102, 0, 12, -75, 0, 270, 443, 0, 228, 130, 0, 0, 463, 0, 42, -70, 0, -114, 0, 0, -408, 190, 0, -18, -204, 0, 192, -294, 0, 75, -342, 0, 0, 450, 0, -45, -582, 0, 18, 0, 0, -138, 116, 0, 129, 88, 0, 198, 20, 0, -618, 51, 0, 0, -336, 0, -132, 231, 0, 141, 0, 0, 180, 238, 0, 108, -150, 0, 84, 142, 0, -93, 147, 0, 0, 416, 0, 192, 517, 0, 96, 0, 0, 102, 126, 0, -99, 18, 0, -264, -688, 0, 372, -258, 0, 0, -872, 0, 159, -546, 0, 18, 0, 0, -129, 47, 0, 114, 34, 0, 189, -184, 0, 234, 257, 0, 0, -160, 0, 9, -147, 0, -27, 0, 0, 111, 144, 0, 210, 123, 0, 60, -1090, 0, 246, 30, 0, 0, 352, 0, -270, -688, 0, -138, 0, 0, -564, -13, 0, -72, -190, 0, -108, 291, 0, -270, -134, 0, 0, -310, 0, 9, 1698, 0, 0, 0, 0, -72, 10, 0, -63, -194, 0, -162, 254, 0, -90, 19, 0, 0, -205, 0, -9, 219, 0, -189, 0, 0, 3, -352, 0, 474, -17, 0, 159, -17, 0, 99, 3], "hecke_cutter_primes": [2, 5], "level_primes": [3, 7], "relative_dim": 36, "hecke_orbit_code": 412350416171, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 7, "prim_orbit_index": 7, "conrey_index": 361, "newforms": ["1323.2.g.a", "1323.2.g.b", "1323.2.g.c", "1323.2.g.d", "1323.2.g.e", "1323.2.g.f", "1323.2.g.g", "1323.2.g.h"], "oldspaces": [[63, 16, 17, 4], [189, 16, 26, 2], [441, 28, 37, 2]]}