# Stored data for newspace 229.2.c, downloaded from the LMFDB on 30 April 2024.
{"label": "229.2.c", "level": 229, "weight": 2, "char_conductor": 229, "char_degree": 2, "char_parity": 1, "sturm_bound": 38, "dim": 36, "eis_dim": 4, "eis_new_dim": 4, "cusp_dim": 36, "mf_dim": 40, "char_order": 3, "char_orbit_label": "c", "char_is_real": false, "trace_bound": 0, "num_forms": 1, "Nk2": 916, "analytic_conductor": 1.8285742062873207, "level_radical": 229, "mf_new_dim": 40, "char_values": [229, 3, [6], [2]], "hecke_orbit_dims": [36], "trace_display": [-6, -1, 3, -4], "traces": [36, -6, -1, 22, 3, 5, -4, -18, -13, -2, -8, -8, 12, -5, 4, 2, -6, 5, -4, -1, 30, -12, -4, -1, -11, -30, 2, -6, 23, 14, -7, -32, -1, 2, -4, 4, -2, 12, -7, 8, 15, -16, 16, 28, 19, -11, -1, -11, -20, -8, 13, 2, -38, 20, -3, 30, -52, -10, -18, -26, 12, 16, 0, -46, -18, -4, -4, -38, 13, 37, -5, -9, -13, -62, -35, -21, 13, 6, 10, -11, 26, 33, 14, -36, 28, -8, 29, -22, 12, 9, 1, 33, 12, 16, 33, -22, -21, 40, 8, 57, 38, -2, 48, -16, 17, -48, 0, 70, 54, -74, 50, -30, -42, 92, -64, 57, -50, 14, 45, 88, 40, 78, 26, -19, -174, 11, -4, -98, 7, 29, -1, -66, -40, 3, 11, 52, -18, -15, 36, 35, -34, -9, -138, 89, 110, -12, 52, 50, -2, 67, 14, 18, 13, -42, 47, -11, 3, -34, -19, -59, -12, 16, 70, -27, -62, -37, 14, -100, 0, 2, 51, -26, -29, 29, 4, -12, 22, 4, 3, -16, -39, 74, 68, -75, -128, -46, 44, -88, -27, -53, 7, 42, 63, 68, -78, -6, 46, -35, 30, -53, -5, -144, 18, -102, -51, 20, 76, 104, 41, -18, -23, -16, -114, 50, 47, 66, -50, -114, -8, 137, -118, 13, -60, 60, 96, 47, -10, 176, -79, 162, -108, -51, 106, -22, 82, 14, -90, -117, -55, -108, -64, 12, 6, -130, -136, 4, 61, 46, -33, 188, -50, 53, -66, 102, -82, -6, 12, 97, 96, -28, -112, 61, -14, 15, -59, 24, 35, 74, -3, 90, -150, -64, 62, 15, -22, 65, -51, 6, -44, 49, 128, -174, -24, 99, 11, -186, 49, -155, -34, 74, 58, -16, -152, -82, -19, -23, -164, 120, 34, -31, -16, -61, -157, -171, -16, 94, 6, -1, -82, -24, 60, -19, 108, 68, 212, 94, 16, 119, 70, -60, 48, 126, -47, -24, 8, -166, 147, -19, 96, 312, -10, 37, -134, 32, -156, 256, 134, 116, -100, 41, -32, -95, 34, -62, 217, -168, 63, 122, 140, 392, 196, 78, -5, -330, -12, 1, -236, 78, 147, 36, -68, -108, 0, 19, 52, -127, -58, 51, 51, -260, 54, -62, 82, 28, -63, 168, 69, -135, 94, 6, 17, 64, 12, 99, 7, -18, -44, -73, -24, -170, 21, 142, 44, -10, -19, -25, -150, 148, -8, -14, 16, -78, 63, 222, 244, -58, 50, -57, 83, -45, 105, 106, -16, -234, -58, -120, -43, -77, 1, -213, 17, 53, 141, 38, -40, 56, -33, -42, -55, 0, -186, -84, -87, 14, 79, 210, 232, 72, 40, 19, -236, -168, -42, 27, 130, -165, -170, -119, 77, -378, 71, -89, 169, -68, 51, -146, 6, -118, 192, -164, 13, 168, -103, 23, -70, -64, -38, -114, -158, -103, -20, -26, -80, -212, 186, 60, 63, -91, 66, -262, -14, -47, 105, -370, -164, 68, 53, 148, 43, -218, 88, 340, -9, -26, -101, 99, 183, 79, 102, -44, -58, 236, 88, -101, 115, 17, -64, -195, 88, -108, -368, 68, 69, 102, -94, 38, -160, -122, 242, -52, -59, -24, -105, -103, -174, -136, 51, 62, -96, 52, -68, -266, -113, -152, 13, 10, 25, -54, 28, -63, -26, 30, 139, 316, 114, 96, 197, 25, 12, 83, -202, 40, -18, 10, -167, 167, 52, 185, 224, -35, 52, -74, -41, -126, 34, 438, 92, -238, 79, -25, -53, 52, 32, 191, -161, 128, 118, 352, 144, 424, 120, 3, -78, 19, 114, -286, 70, 148, 80, -191, -177, -12, 34, -44, -38, -23, 181, 66, -34, 171, -28, 277, 158, -103, 116, 280, -50, 264, -58, -72, 53, -101, 138, -14, -123, -73, -122, -158, -158, 122, 190, -66, -118, -85, -52, -366, 150, -6, 114, -100, 12, 136, 178, 190, -56, 1, 13, -59, -189, 195, 45, -243, -402, 6, 40, -277, -157, -68, -78, 140, 89, 89, -176, 45, -298, -118, 272, -68, -33, -576, 204, -151, -140, 152, 244, 464, 91, -57, 22, 44, -274, -130, -14, 106, -78, -324, -102, 246, -226, -9, -119, 109, -150, 235, 176, 336, -362, 372, -70, -227, 106, 80, 97, 80, -124, -141, -228, -234, -91, -68, -67, -120, 138, -2, 130, 74, -98, 394, -28, 90, 16, 148, 32, -334, -15, 149, 234, 30, -488, 191, 156, 222, -149, -132, 159, 343, -41, 86, -376, 30, -164, 149, -37, -24, -146, -112, -133, 231, -50, -60, 12, 90, 33, -424, 160, -155, -168, 362, 126, -100, -174, -237, -2, -131, -130, 186, 11, 31, 125, 97, -231, -139, -129, 20, -58, 20, -127, -39, -16, 56, 102, 272, 352, 194, 208, 161, -23, 100, -2, 264, 12, -73, -52, -249, 193, 65, 133, 570, 59, 108, -26, 172, -298, 534, 272, -178, -98, 74, 59, -65, -82, 170, 181, -170, 252, 85, 434, 124, 274, -184, -27, -700, -101, -20, -636, 279, 53, 46, -130, -193, 202, 73, 56, -296, -120, 130, 68, -172, 198, -186, 136, -164, -40, 240, 94, -189, 86, -104, 33, 199, 25, 203, 26, -78, -58, -156, -87, -304, 70, 130, 70, 276, 18, -134, -546, 378, 180, -192, -2, -329, 102, -54, 110, -70, 93, -97, 85, -94, -25, 165, -211, -328, 34, -24, -121, -227, -67, -328, -45, -148, 93, 66, -21, -208, -157, -52, -158, 0, -106, 184, -43, 50, 2, 382, 596, 348, -103, 179, -338, -178, -214, 21, 280, -174, -108, -132, 109, -200, 65, -176, 110, 56, -45, -2, 386, -233, -116, -196, -46, 376, -165, -64, 16, -126, 18, -147, -46, -180, 114, -243, 394, -522, 168, -33, 331, -102, -80, -430, -71, 3, 169, -638, -520, 34, 122, 80, -54, -314, 29, 286, 37, -259, -130, 143, 43, 11, 306, -86, 46, 348, 201, -76, 149, -106, -138, -278, 80, -156, -600, 348, 33, 85, -376, 63, -210, -284, 52, -164, -126, -4, -211, -166, -191, -258, 74, 100, -141, 81, -164, -252, -160, -142, -59, -43, 24, -143, 124, -137, 26, 2], "hecke_cutter_primes": [], "level_primes": [229], "relative_dim": 18, "hecke_orbit_code": 137472508133, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": true, "level_is_prime_power": true, "char_orbit_index": 3, "prim_orbit_index": 3, "conrey_index": 94, "newforms": ["229.2.c.a"], "oldspaces": []}