# Stored data for newspace 3822.2.c, downloaded from the LMFDB on 20 April 2024.
{"label": "3822.2.c", "level": 3822, "weight": 2, "char_conductor": 13, "char_degree": 1, "char_parity": 1, "sturm_bound": 1568, "dim": 98, "eis_dim": 64, "eis_new_dim": 0, "cusp_dim": 752, "mf_dim": 816, "char_order": 2, "char_orbit_label": "c", "char_is_real": true, "trace_bound": 13, "num_forms": 16, "Nk2": 15288, "analytic_conductor": 30.518823652533364, "level_radical": 546, "mf_new_dim": 98, "char_values": [3822, 2, [2549, 3433, 1471], [2, 2, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 10, 10, 16, 16], "trace_display": [0, -2, 0, 0], "traces": [98, 0, -2, -98, 0, 0, 0, 0, 98, 4, 0, 2, -10, 0, 0, 98, -12, 0, 0, 0, 0, 8, -8, 0, -126, -4, -2, 0, 4, -4, 0, 0, 0, 0, 0, -98, 0, 4, -14, -4, 0, 0, -56, 0, 0, 0, 0, -2, 0, 0, -4, 10, 60, 0, 64, 0, 0, 0, 0, 0, -20, 20, 0, -98, 72, -16, 0, 12, 8, 0, 0, 0, 0, -48, -2, 0, 0, -4, 48, 0, 98, 28, 0, 0, 0, 0, 28, -8, 0, 4, 0, 8, 0, -16, -72, 0, 0, 0, 0, 126, -20, 0, 72, 4, 0, 0, -16, 2, 0, 0, 0, 0, -140, -20, 0, -4, -10, 40, 0, 4, -146, 0, 0, 0, 0, 0, 48, 0, -24, 76, 16, 0, 0, 12, 0, 0, 0, 0, -8, 0, 0, -8, 16, 98, 0, -24, 0, 0, 0, 0, 0, -4, -12, 0, -24, 14, -28, 0, 4, 4, 0, 0, 0, 0, 16, -40, 0, 0, -46, -24, 0, 56, 108, 0, 0, 0, 0, -68, 64, 0, -12, 0, -60, 0, 128, -4, 0, 0, 0, 0, -56, 2, 0, 24, 24, 0, 0, 8, 40, 0, 0, 0, 0, 4, 184, 0, -8, -10, 16, 0, 136, -60, 0, 0, 0, 0, 0, -40, 0, -64, 12, -40, 0, 0, -126, 0, 0, 0, 0, -64, 0, 0, -4, -4, -144, 0, 64, 0, 0, 0, 0, 0, -2, 20, 0, 28, 56, -20, 0, -24, 8, 0, 0, 0, 0, 98, -20, 0, 0, -72, 4, 0, 16, 16, 0, 0, 0, 0, -28, -4, 0, -12, 0, 100, 0, -8, -236, 0, 0, 0, 0, 40, 88, 0, 8, 80, 0, 0, 46, -72, 0, 0, 0, 0, -64, 48, 0, -44, 72, 2, 0, 20, -12, 0, 0, 0, 0, 0, 32, 0, -24, 4, 60, 0, 0, -48, 0, 0, 0, 0, -72, 0, 0, -98, -10, -28, 0, -28, 0, 0, 0, 0, 0, -16, -88, 0, 100, 32, 20, 0, -96, 4, 0, 0, 0, 0, 120, -28, 0, 0, -14, 8, 0, 56, 144, 0, 0, 0, 0, -4, -282, 0, -22, 0, 80, 0, -8, -8, 0, 0, 0, 0, -20, -48, 0, 16, -92, 0, 0, 72, 80, 0, 0, 0, 0, 16, -56, 0, -124, -12, -176, 0, 64, 12, 0, 0, 0, 0, 0, -126, 0, -44, 32, 20, 0, 0, 144, 0, 0, 0, 0, -72, 0, 0, -16, -4, 24, 0, -16, 0, 0, 0, 0, 0, -188, 16, 0, 16, -8, 0, 0, -2, 60, 0, 0, 0, 0, -56, -40, 0, 0, 96, 32, 0, -88, 20, 0, 0, 0, 0, 96, 140, 0, 64, 0, 20, 0, 8, -4, 0, 0, 0, 0, 4, 120, 0, 120, 10, 0, 0, -68, -40, 0, 0, 0, 0, 60, -72, 0, -4, -72, 136, 0, 146, 0, 0, 0, 0, 0, 0, -136, 0, -24, -76, 64, 0, 0, -8, 0, 0, 0, 0, 64, 0, 0, 320, -10, -48, 0, 8, 0, 0, 0, 0, 0, 24, -160, 0, 100, -76, -28, 0, 24, -16, 0, 0, 0, 0, -238, -40, 0, 0, 208, 44, 0, -12, 24, 0, 0, 0, 0, -4, 60, 0, 48, 0, 184, 0, -20, -40, 0, 0, 0, 0, -16, 8, 0, 20, 24, 0, 0, -12, -176, 0, 0, 0, 0, 8, -276, 0, 424, -16, -88, 0, -264, -98, 0, 0, 0, 0, 0, -88, 0, 24, 72, -44, 0, 0, -104, 0, 0, 0, 0, -16, 0, 0, -80, -16, 368, 0, 124, 0, 0, 0, 0, 0, -24, 4, 0, -40, 0, 12, 0, 188, -8, 0, 0, 0, 0, 24, 8, 0, 0, -14, -22, 0, 352, 28, 0, 0, 0, 0, 8, -212, 0, -4, 0, -264, 0, -4, 188, 0, 0, 0, 0, -16, -208, 0, -80, 28, 0, 0, 28, 48, 0, 0, 0, 0, -24, -16, 0, 292, -76, 40, 0, -48, -320, 0, 0, 0, 0, 0, -12, 0, -2, 46, -148, 0, 0, 24, 0, 0, 0, 0, 24, 0, 0, -56, 108, 80, 0, -108, 0, 0, 0, 0, 0, -96, -68, 0, 60, -4, -128, 0, 0, -84, 0, 0, 0, 0, 48, 68, 0, 0, 40, -64, 0, -104, -152, 0, 0, 0, 0, 12, 36, 0, -56, 0, 98, 0, 128, 60, 0, 0, 0, 0, -808, 28, 0, -128, 24, 0, 0, 4, 184, 0, 0, 0, 0, 24, -64, 0, 136, -32, 88, 0, 300, 156, 0, 0, 0, 0, 0, 56, 0, 32, 8, -2, 0, 0, -220, 0, 0, 0, 0, -24, 0, 0, 216, -24, -344, 0, 28, 0, 0, 0, 0, 0, -48, 144, 0, -8, 4, 48, 0, -40, 4, 0, 0, 0, 0, -68, -16, 0, 0, -140, -260, 0, 308, 4, 0, 0, 0, 0, -72, -4, 0, -24, 0, -184, 0, -68, -144, 0, 0, 0, 0, 8, 76, 0, -92, 10, 0, 0, 224, -16, 0, 0, 0, 0, 150, -232, 0, -136, 48, -16, 0, 60, -168, 0, 0, 0, 0, 0, -72, 0, 332, -24, 72, 0, 0, 24, 0, 0, 0, 0, 58, 0, 0, -40, 0, 40, 0, -32, 0, 0, 0, 0, 0, 64, -36, 0, 312, -12, -144, 0, -40, 40, 0, 0, 0, 0, -24, -68, 0, 0, 216, -132, 0, 126, -72, 0, 0, 0, 0, -12, -344, 0, -20, 0, -152, 0, -64, 72, 0, 0, 0, 0, 368, 64, 0, 20, -80, 0, 0, -76, 72, 0, 0, 0, 0, 4, 152, 0, -240, 4, 108, 0, -148, 144, 0, 0, 0, 0, 0, -128, 0, -64, 248, 84, 0, 0, 204, 0, 0, 0, 0, -168, 0, 0, -122, 112, -16, 0, -128, 0, 0, 0, 0, 0, 56, 2, 0, 212, 122, -20, 0, -116, 144, 0, 0, 0, 0, -28, -72, 0, 0, -56, 384, 0, -256, 20, 0, 0, 0, 0, 132, 164, 0, 24, 0, -24, 0, -8, -360, 0, 0, 0, 0, 88, 68, 0, -20, 88, 0, 0, -140, -60, 0, 0, 0, 0, -64, -98, 0, -20, 48, 20, 0, 96, -136, 0, 0, 0, 0, 0, 544, 0, -104, 72, 48, 0, 0, -4, 0, 0, 0, 0, 364, 0, 0, -16, -10, 24, 0, -16, 0, 0, 0, 0, 0, 40, -104, 0, 16, -252, 192, 0, -52, -144, 0, 0, 0, 0, 376, 28, 0, 0, 120, 4, 0, -616, 66, 0, 0, 0, 0, 12, -146, 0, 144, 0, 284, 0, -208, -100, 0, 0, 0, 0, 496, 104, 0, 8, 64, 0, 0, 236, -364, 0, 0, 0, 0, 444, 88, 0, 468, -64, -68, 0, -776, 48, 0, 0, 0, 0, 0, -40, 0, 312, 196, -88, 0, 0, 16, 0, 0, 0, 0, -8, 0, 0, 48, -80, -272, 0, 80, 0, 0, 0, 0, 0, -12, 224, 0, -46, 64, 64, 0, 72, -24, 0, 0, 0, 0, 168, 92, 0, 0, 76, -184, 0, 32, 40, 0, 0, 0, 0, 16, 64, 0, 36, 0, -48, 0, -132, 272, 0, 0, 0, 0, 44, -132, 0, -80, -72, 0, 0, -432, -2, 0, 0, 0, 0, -272, 12, 0, -20, -72, -4, 0, 12, 84, 0, 0, 0, 0, 0, -240, 0, -32, 64, 120, 0, 0, 512, 0, 0, 0, 0, 168, 0, 0, -516, 24, -32, 0, -260, 0, 0, 0, 0, 0, 24, -112, 0, -144, -4, -124, 0, -8, -60, 0, 0, 0, 0, 16, -224, 0, 0, 48, -308, 0, 48, -304, 0, 0, 0, 0, 112, 440, 0, 8, 0, -292, 0, 396, -8, 0, 0, 0, 0, -496, 72, 0, -196, 16, 0, 0, 96, 120, 0, 0, 0, 0, 98, 500, 0, -244, 10, -148, 0, 48, 28, 0, 0, 0, 0, 0, 96, 0, 28, -148, -24, 0, 0, -112, 0, 0, 0, 0, -112, 0, 0, 60, -88, -384, 0, 168, 0, 0, 0, 0, 0, 88, 16, 0, 76, 208, 88, 0, -80, 224, 0, 0, 0, 0, -100, -64, 0, 0, -32, -16, 0, -472, -20, 0, 0, 0, 0, -116, 32, 0, 96, 0, -176, 0, -4, 490, 0, 0, 0, 0, 72, -128, 0, -12, 144, 0, 0, -284, -52, 0, 0, 0, 0, -512, -120, 0, 320, 224, 28, 0, 296, -24, 0, 0, 0, 0, 0, -136, 0, 32, 14, 152, 0, 0, -8, 0, 0, 0, 0, -28, 0, 0, -56, -216, -88, 0, -144, 0, 0, 0, 0, 0, 288, -56, 0, -172, 8, 4, 0, -244, -80, 0, 0, 0, 0, 208, 4, 0, 0, 96, 282, 0, 168, -152, 0, 0, 0, 0, 22, -60, 0, -112, 0, -64, 0, -312, -80, 0, 0, 0, 0, -40, -88, 0, 8, -76, 0, 0, 8, 224, 0, 0, 0, 0, 292, 296, 0, -636, 84, -136, 0, 16, -264, 0, 0, 0, 0, 0, 20, 0, -40, -128, 48, 0, 0, 192, 0, 0, 0, 0, -16, 0, 0, -256, 92, 0, 0, 104, 0, 0, 0, 0, 0, 80, 80, 0, -72, -46, 84, 0, -80, -84, 0, 0, 0, 0, -24, 424, 0, 0, -168, -264, 0, -368, -32, 0, 0, 0, 0, -8, -16, 0, 44, 0, 56, 0, 180, -224, 0, 0, 0, 0, 124, 108, 0, 72, 12, 0, 0, -148, 176, 0, 0, 0, 0, 360, -40, 0, -64, 18, 252, 0, -12, 432, 0, 0, 0, 0, 0, 120, 0, -104, -64, 110, 0, 0, -184, 0, 0, 0, 0, 240, 0, 0, 328, -112, 126, 0, -68, 0, 0, 0, 0, 0, 44, -324, 0, 64, -32, -124, 0, 48, -20, 0, 0, 0, 0, 220, 132, 0, 0, -184, -28, 0, -144, -12, 0, 0, 0, 0, -64, -160, 0, -428, 0, 304, 0, -216, 68, 0, 0, 0, 0, -60, 72, 0, 144, -128, 0, 0, -168, -248, 0, 0, 0, 0, 16, 248, 0, 320, 4, 128, 0, -744, -24, 0, 0, 0, 0, 0, -4, 0, 16, -40, -120, 0, 0, -550, 0, 0, 0, 0, -68, 0, 0, 0, 52, 424, 0, 20, 0, 0, 0, 0, 0, 24, 188, 0, 80, -248, -16, 0, 432, -148, 0, 0, 0, 0, -16, 72, 0, 0, 8, 360, 0, -56, 0, 0, 0, 0, 0, 168, 360, 0, 2, 0, 184, 0, -60, 1148, 0, 0, 0, 0, 288, -720, 0, -324, -36, 0, 0, 1200, 24, 0, 0, 0, 0, 384, 56, 0, -528, 24, 40, 0, 28, 608, 0, 0, 0, 0, 0, 56, 0, -248, -96, -136, 0, 0, -32, 0, 0, 0, 0, 188, 0, 0, 88, -56, 8, 0, -20, 0, 0, 0, 0, 0, -16, 40, 0, -952, -256, 208, 0, 128, -184, 0, 0, 0, 0, -436, -96, 0, 0, 408, -140, 0, 88, -88, 0, 0, 0, 0, -64, 528, 0, -64, 0, 560, 0, 264, -20, 0, 0, 0, 0, -256, 136, 0, -8, -24, 0, 0, 4, 32, 0, 0, 0, 0, -44, -96, 0, 184, 144, 120, 0, -182, 512, 0, 0, 0, 0, 0, -4, 0, -68, -848, -120, 0, 0, -8, 0, 0, 0, 0, -120, 0, 0, 432, -10, 292, 0, 166, 0, 0, 0, 0, 0, 16, -4, 0, 68, -40, 32, 0, 40, 348, 0, 0, 0, 0, -256, -72, 0, 0, -112, 136, 0, 204, 36, 0, 0, 0, 0, -344, -60, 0, -192, 0, 72, 0, -48, 0, 0, 0, 0, 0, 4, 520, 0, -172, 72, 0, 0, -656, -136, 0, 0, 0, 0, -740, -588, 0, -146, 104, -8, 0, 0, 80, 0, 0, 0, 0, 0, -192, 0, 212, -108, 248, 0, 0, 4, 0, 0, 0, 0, -20, 0, 0, -40, -40, 136, 0, -136, 0, 0, 0, 0, 0, 24, -76, 0, -1120, 76, -64, 0, 56, -64, 0, 0, 0, 0, -768, -12, 0, 0, 12, -144, 0, 8, -188, 0, 0, 0, 0, -40, -32, 0], "hecke_cutter_primes": [5, 11, 17, 19], "level_primes": [2, 3, 7, 13], "relative_dim": 98, "hecke_orbit_code": 137472511726, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 3, "prim_orbit_index": 2, "conrey_index": 883, "newforms": ["3822.2.c.a", "3822.2.c.b", "3822.2.c.c", "3822.2.c.d", "3822.2.c.e", "3822.2.c.f", "3822.2.c.g", "3822.2.c.h", "3822.2.c.i", "3822.2.c.j", "3822.2.c.k", "3822.2.c.l", "3822.2.c.m", "3822.2.c.n", "3822.2.c.o", "3822.2.c.p"], "oldspaces": [[26, 2, 25, 6], [182, 4, 155, 4], [1274, 4, 883, 2]]}