# Stored data for newspace 8004.2.a, downloaded from the LMFDB on 19 April 2024.
{"label": "8004.2.a", "level": 8004, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 2880, "dim": 104, "eis_dim": 23, "eis_new_dim": 0, "cusp_dim": 1429, "mf_dim": 1452, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 7, "num_forms": 11, "Nk2": 32016, "plus_dim": 40, "AL_dims": [[[[2, -1], [3, -1], [23, -1], [29, -1]], 8, 1], [[[2, -1], [3, -1], [23, -1], [29, 1]], 16, 1], [[[2, -1], [3, -1], [23, 1], [29, -1]], 18, 1], [[[2, -1], [3, 1], [23, 1], [29, 1]], 14, 2], [[[2, -1], [3, 1], [23, -1], [29, -1]], 16, 1], [[[2, -1], [3, 1], [23, 1], [29, -1]], 10, 2], [[[2, -1], [3, 1], [23, -1], [29, 1]], 12, 1], [[[2, -1], [3, -1], [23, 1], [29, 1]], 10, 2]], "analytic_conductor": 63.91226177783282, "level_radical": 4002, "mf_new_dim": 104, "char_values": [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], "hecke_orbit_dims": [1, 1, 1, 8, 9, 9, 12, 13, 16, 16, 18], "trace_display": [0, 0, 0, 0], "traces": [104, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 112, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 16, 0, 8, 0, 16, 0, 0, 0, -8, 0, 120, 0, 0, 0, 32, 0, 8, 0, 8, 0, 16, 0, 16, 0, 0, 0, 56, 0, 32, 0, -8, 0, -8, 0, -8, 0, 0, 0, 24, 0, -16, 0, 104, 0, 72, 0, 24, 0, 0, 0, -16, 0, 8, 0, 24, 0, 32, 0, 48, 0, 0, 0, -16, 0, 56, 0, -32, 0, 80, 0, -8, 0, 0, 0, 64, 0, 0, 0, 0, 0, -40, 0, 112, 0, 8, 0, 48, 0, -16, 0, 24, 0, 24, 0, 32, 0, 0, 0, -16, 0, 16, 0, -24, 0, -40, 0, 0, 0, 32, 0, -24, 0, -56, 0, 0, 0, 56, 0, 48, 0, 16, 0, 0, 0, 56, 0, 0, 0, -80, 0, 80, 0, 8, 0, 24, 0, 48, 0, 56, 0, 32, 0, 80, 0, -24, 0, 48, 0, 80, 0, 8, 0, 24, 0, 16, 0, 16, 0, 40, 0, 24, 0, 40, 0, 0, 0, 88, 0, 0, 0, 40, 0, -40, 0, -8, 0, 56, 0, 88, 0, 32, 0, 120, 0, 24, 0, 112, 0, 24, 0, -32, 0, 48, 0, -16, 0, 88, 0, 40, 0, 0, 0, 72, 0, 0, 0, 88, 0, 24, 0, -40, 0, 72, 0, 0, 0, -56, 0, 64, 0, 80, 0, 0, 0, -72, 0, 80, 0, -8, 0, 16, 0, 40, 0, 64, 0, 8, 0, 24, 0, 8, 0, 16, 0, 56, 0, 64, 0, 80, 0, 176, 0, -16, 0, -16, 0, -8, 0, 0, 0, 8, 0, -80, 0, 48, 0, 24, 0, -32, 0, 24, 0, -48, 0, 24, 0, 0, 0, 16, 0, 0, 0, 8, 0, -40, 0, 160, 0, 0, 0, 56, 0, 48, 0, 8, 0, -8, 0, -16, 0, 0, 0, 32, 0, -96, 0, -8, 0, -16, 0, 96, 0, 16, 0, 88, 0, -48, 0, 40, 0, -120, 0, 208, 0, -32, 0, 88, 0, -80, 0, 8, 0, 64, 0, 56, 0, 96, 0, 8, 0, 80, 0, 8, 0, -56, 0, 184, 0, 16, 0, -8, 0, 0, 0, 8, 0, -8, 0, 128, 0, -24, 0, 24, 0, -136, 0, 0, 0, -88, 0, -64, 0, 0, 0, 64, 0, 24, 0, -16, 0, -32, 0, 24, 0, -8, 0, 88, 0, -88, 0, -16, 0, 8, 0, 152, 0, 0, 0, 0, 0, 8, 0, 120, 0, -16, 0, -136, 0, 72, 0, 32, 0, 80, 0, -48, 0, 208, 0, 232, 0, 0, 0, 72, 0, -48, 0, 160, 0, -168, 0, 120, 0, -16, 0, -48, 0, -32, 0, 32, 0, 48, 0, 32, 0, -8, 0, 336, 0, 56, 0, 8, 0, 56, 0, 16, 0, 8, 0, 112, 0, 104, 0, -48, 0, -120, 0, 136, 0, 0, 0, -104, 0, 256, 0, 8, 0, -248, 0, 32, 0, -80, 0, 144, 0, 8, 0, 104, 0, 64, 0, 104, 0, 16, 0, 88, 0, -8, 0, -32, 0, 40, 0, 8, 0, 0, 0, 72, 0, -16, 0, 16, 0, 24, 0, -184, 0, 64, 0, -96, 0, -112, 0, 64, 0, -152, 0, 48, 0, 0, 0, -40, 0, -40, 0, 0, 0, 16, 0, -24, 0, 48, 0, -24, 0, -8, 0, 56, 0, 64, 0, -32, 0, -8, 0, -72, 0, 184, 0, -56, 0, 80, 0, 0, 0, 32, 0, -80, 0, 40, 0, 0, 0, 208, 0, 16, 0, 72, 0, -48, 0, 48, 0, -8, 0, 32, 0, 232, 0, 40, 0, 240, 0, -16, 0, 48, 0, -32, 0, 56, 0, -8, 0, -88, 0, 32, 0, -32, 0, -120, 0, 112, 0, -8, 0, 64, 0, 40, 0, -8, 0, 192, 0, 40, 0, 24, 0, -168, 0, -8, 0, 32, 0, -64, 0, 120, 0, 0, 0, 168, 0, -24, 0, 48, 0, -160, 0, 160, 0, -88, 0, 144, 0, 40, 0, 24, 0, -224, 0, 24, 0, 96, 0, -304, 0, -96, 0, -120, 0, -112, 0, 32, 0, -16, 0, 16, 0, -64, 0, 0, 0, -72, 0, -64, 0, -16, 0, 32, 0, 56, 0, 104, 0, -192, 0, -96, 0, -64, 0, 160, 0, -128, 0, 88, 0, -104, 0, -56, 0, 72, 0, 64, 0, -96, 0, -24, 0, -192, 0, -48, 0, 0, 0, 104, 0, -304, 0, 24, 0, -64, 0, 40, 0, -104, 0, 96, 0, -88, 0, 72, 0, 56, 0, 40, 0, 0, 0, 176, 0, -240, 0, 32, 0, 40, 0, 280, 0, -208, 0, 40, 0, -144, 0, -16, 0, -16, 0, -16, 0, -88, 0, 48, 0, 136, 0, -32, 0, -112, 0, 64, 0, 8, 0, 144, 0, -128, 0, 64, 0, 104, 0, 104, 0, -16, 0, -72, 0, -80, 0, 24, 0, -72, 0, 104, 0, -40, 0, 16, 0, 208, 0, 72, 0, -32, 0, 24, 0, 32, 0, -152, 0, -168, 0, -96, 0, -168, 0, 8, 0, -16, 0, 64, 0, -104, 0, 48, 0, -192, 0, 200, 0, -32, 0, 192, 0, -72, 0, 80, 0, 312, 0, 8, 0, 0, 0, -192, 0, -184, 0, -16, 0, 24, 0, -72, 0, -48, 0, 176, 0, 64, 0, -16, 0, 24, 0, -104, 0, 16, 0, -24, 0, 0, 0, 128, 0, 96, 0, 16, 0, 56, 0, 16, 0, 112, 0, -16, 0, -104, 0, 8, 0, -32, 0, 208, 0, -16, 0, -32, 0, 232, 0, 160, 0, 0, 0, 160, 0, 56, 0, 0, 0, -240, 0, 248, 0, 80, 0, -8, 0, 48, 0, -16, 0, 104, 0, 16, 0, 96, 0, 64, 0, 128, 0, -8, 0, 8, 0, -16, 0, -48, 0, 0, 0, -32, 0, -72, 0, -120, 0, 120, 0, 0, 0, -112, 0, -144, 0, -64, 0, 200, 0, 64, 0, -120, 0, -168, 0, -24, 0, 64, 0, 80, 0, 136, 0, -32, 0, 144, 0, -216, 0, 64, 0, -56, 0, -136, 0, 0, 0, 104, 0, -64, 0, -232, 0, -176, 0, -112, 0, 128, 0, 80, 0, 200, 0, 0, 0, 16, 0, 192, 0, -104, 0, 64, 0, 72, 0, 64, 0, -184, 0, -8, 0, -40, 0, 40, 0, 96, 0, -128, 0, 32, 0, -32, 0, 32, 0, -368, 0, -120, 0, 112, 0, 96, 0, 48, 0, 80, 0, -144, 0, -344, 0, 168, 0, -136, 0, 192, 0, 8, 0, 48, 0, -56, 0, -136, 0, -192, 0, -56, 0, -48, 0, 0, 0, 104, 0, 48, 0, -32, 0, -184, 0, -16, 0, -144, 0, 32, 0, 56, 0, 0, 0, -216, 0, -16, 0, 160, 0, -96, 0, 32, 0, 264, 0, -288, 0, 112, 0, 160, 0, -32, 0, 24, 0, -64, 0, 232, 0, -16, 0, 64, 0, -16, 0, 0, 0, -160, 0, -104, 0, 24, 0, 48, 0, -360, 0, -96, 0, -360, 0, -40, 0, 48, 0, -232, 0, -128, 0, 32, 0, -560, 0, -16, 0, -80, 0, -88, 0, 224, 0, 32, 0, -176, 0, -96, 0, 0, 0, 208, 0, 8, 0, 16, 0, -200, 0, -24, 0, 32, 0, -192, 0, 24, 0, -16, 0, -88, 0, -336, 0, -120, 0, -72, 0, -192, 0, 96, 0, 0, 0, 144, 0, 16, 0, -288, 0, -48, 0, -80, 0, 112, 0, -144, 0, 120, 0, -16, 0, -56, 0, -24, 0, 144, 0, -208, 0, -136, 0, -176, 0, 72, 0, 72, 0, 56, 0, 312, 0, -40, 0, 0, 0, -32, 0, -88, 0, -464, 0, 112, 0, 112, 0, -144, 0, -80, 0, 0, 0, -408, 0, -192, 0, 8, 0, -296, 0, -40, 0, 176, 0, -328, 0, 88, 0, 32, 0, 232, 0, 16, 0, -40, 0, 0, 0, 96, 0, -64, 0, -152, 0, 112, 0, -24, 0, -488, 0, -152, 0, 72, 0, 120, 0, -216, 0, -64, 0, -224, 0, 40, 0, -56, 0, -72, 0, -32, 0, -216, 0, -16, 0, -24, 0, 48, 0, -104, 0, -72, 0, 0, 0, -272, 0, -168, 0, -112, 0, -416, 0, -24, 0, -80, 0, -152, 0, 72, 0, 56, 0, -208, 0, -64, 0, -112, 0, 32, 0, -88, 0, 160, 0, 152, 0, -80, 0, 48, 0, -256, 0, -240, 0, -40, 0, 32, 0, -312, 0, 32, 0, 40, 0, -16, 0, 16, 0, -448, 0, 16, 0, 96, 0, -136, 0, -208, 0, 8, 0, 120, 0, -24, 0, 0, 0, 144, 0, -216, 0, 88, 0, 184, 0, 24, 0, -64, 0, -552, 0, -56, 0, 56, 0, -216, 0, -192, 0, 136, 0, 136, 0, -16, 0, 0, 0, -152, 0, -176, 0, 0, 0, -200, 0, 136, 0, -56, 0, -208, 0, 0, 0, 64, 0, 16, 0, -248, 0, -80, 0, -120, 0, 96, 0, -8, 0, -288, 0, 128, 0, 144, 0, 152, 0, -160, 0, 80, 0, 32, 0, -104, 0, -128, 0, -240, 0, -152, 0, 48, 0, -272, 0, -24, 0, 8, 0, -16, 0, -8, 0, -128, 0, -648, 0, 160, 0, 192, 0, -232, 0, -40, 0, 24, 0, -112, 0, -392, 0, -152, 0, -40, 0, 200, 0, 56, 0, 16, 0, -168, 0, 48, 0, -144, 0, 40, 0, -104, 0, -464, 0, -72, 0, 0, 0, 112, 0, 288, 0, 56, 0, -80, 0, 32, 0, -112, 0, 152, 0, -232, 0, -16, 0, -120, 0, -104, 0, 32, 0, -144, 0, -424, 0, -16, 0, -48, 0, 80, 0, 104, 0, -48, 0, 192, 0, 80, 0, 136, 0, 24, 0, -120, 0, -136, 0, -256, 0, -208, 0, -8, 0, -104, 0, -24, 0, -32, 0, -216, 0, 0, 0, -328, 0, -304, 0, 160, 0, 48, 0, 128, 0, 48, 0, -64, 0, 304, 0, 48, 0, -8, 0, -120, 0, -32, 0, -32, 0, 160, 0, 80, 0, -8, 0, 8, 0, -112, 0, -80, 0, -104, 0, 104, 0, -64, 0, 440, 0, 8, 0, -424, 0, -144, 0, -232, 0, -56, 0, 8, 0, 8, 0, -312, 0, -232, 0, 24, 0, -104, 0, -272, 0, -40, 0, -56, 0, 192, 0, 192, 0, -120, 0, -312, 0, 16, 0, -40, 0, 48, 0, 48, 0, -120, 0, -88, 0, 64, 0, -296, 0, -40, 0, 16, 0, -200, 0, -488, 0, -136, 0, -344, 0, 24, 0, 144, 0, 40, 0, 0, 0, 40, 0, -152, 0, 160, 0, -88, 0, -208, 0, -64, 0, 40, 0, -200, 0, -56, 0, 24, 0, -216, 0, -288, 0, -192, 0, -296, 0, -8, 0, 128, 0, 128, 0, -288, 0, 40, 0, -456, 0, 48, 0, 16, 0, 40, 0, -136, 0, -112, 0, -344, 0, 32, 0, 0, 0, -128, 0, -184, 0, 16, 0, 32, 0, 368, 0, -80, 0, -224, 0, 224, 0, 88, 0, -144, 0, 192, 0, -80, 0, 160, 0, -304, 0, 168, 0, -328, 0, -312, 0, 0, 0, 160, 0, -288, 0, -176, 0, -672, 0, -376, 0, -96, 0, 392, 0, -152, 0, 40, 0, -488, 0, 48, 0, -152, 0, -128, 0, -184, 0, 72, 0, -288, 0, -264, 0, -40, 0, -40, 0, -232, 0, 8, 0, -48, 0, 8, 0, -32, 0, -224, 0, 104, 0, -8, 0, -40, 0, 24, 0, -72, 0, 224, 0, -320, 0, 136, 0, 120, 0, 128, 0, 56, 0, 88, 0, -248, 0, -80, 0, 48, 0, 64, 0, 80, 0, -40, 0, 216, 0, 88, 0, 48, 0, -40, 0, 48, 0, -176, 0, 256, 0, -64, 0, -336, 0, -40, 0, 32, 0, -160, 0, -48, 0, -32, 0, -16, 0, -112, 0, -64, 0, 424, 0, -128, 0, 120, 0, -128, 0, 312, 0, -480, 0, 200, 0, -88, 0, -24, 0, -152, 0, -8, 0, 24, 0, 392, 0, 24, 0, -56, 0, -672, 0, 144, 0, 80, 0, 152, 0, -120, 0, 112, 0, -104, 0, -16, 0, -112, 0, 200, 0, -344, 0, -24, 0, 48, 0, 40, 0, 24, 0, 312, 0, -48, 0, -24, 0, 296, 0, 88, 0, -32, 0, -232, 0, 8, 0, -32, 0, 0, 0, -64, 0, -272, 0, 328, 0, -312, 0, 128, 0, 32, 0, 24, 0, 48, 0, 264, 0, -144, 0, -120, 0, -72, 0, 304, 0, 48, 0, 0, 0, -88, 0, -16, 0, 72, 0, 104, 0, 64, 0, 312, 0, 256, 0, 0, 0, -480, 0, -256, 0, 88, 0, 0, 0, 48, 0, -160, 0, -88, 0, -176, 0, 176, 0, -592, 0, 376, 0, 40, 0, -600, 0, -112, 0, 0, 0, -104, 0, -64, 0, -16, 0, 168, 0, 192, 0, 0, 0, -24, 0, -200, 0, -16, 0, 192, 0, -96, 0, 112, 0, 80, 0, -280, 0, 72, 0, 352, 0, -264, 0, 16, 0, 208, 0, 40, 0, 168, 0, -312, 0, -80, 0, 0, 0, 384, 0, -168, 0, -192, 0, -96, 0, 24, 0, 96, 0, 120, 0, 8, 0, 88, 0, 16, 0, -72, 0, -32, 0, 8, 0, 16, 0, -200, 0, 104, 0, 64, 0, 24, 0, 88, 0, 56, 0, 0, 0, 48, 0, -8, 0, 224, 0, 296, 0, 272, 0, -40, 0, -48, 0, 336, 0, -88, 0, 200, 0, 112, 0, -16, 0, -224, 0, 352, 0, 72, 0, 48, 0, -272, 0, -192, 0, 104, 0, -40, 0, 56, 0, 408, 0, 152, 0, 0, 0, -232, 0, 80, 0, 80, 0, 320, 0, 424, 0, 80, 0, -56, 0, 80, 0, -56, 0, -160, 0, 480, 0, -144, 0, -128, 0, -240, 0, 40, 0, 104, 0, -32, 0, 64, 0, 240, 0, 24, 0, 128, 0, 264, 0, -32, 0, 136, 0, 192, 0, -8, 0, 80, 0, -200, 0, 408, 0, -336, 0, -48, 0, 272, 0, -144, 0, -120, 0, 192, 0, 0, 0, -32, 0, 128, 0, -8, 0, 408, 0, 136, 0, 56, 0, -248, 0, -152, 0, -72, 0, 24, 0, 88, 0, 0, 0, -72, 0, 32, 0, -24, 0, 72, 0, 168, 0, 80, 0, 288, 0, -80, 0, 144, 0, 328, 0, -200, 0, 144, 0, 64, 0, 72, 0, -8, 0, -152, 0, 32, 0, 80, 0, 336, 0, -264, 0, 32, 0, 48, 0, -400, 0, 16, 0, -496, 0, 760, 0, -88, 0, -408, 0, -200, 0, -144, 0, 464, 0, 40, 0, 40, 0, 88, 0, 248, 0, -224, 0, 40, 0, -56, 0, 176, 0, -216, 0, -264, 0, 64, 0, -200, 0, 0, 0, -56, 0, 120, 0, -248, 0, 208, 0, -88, 0, -24, 0, 8, 0, 80, 0, 32, 0, 40, 0, -360, 0, 208, 0, 96, 0, 336, 0, 24, 0, 24, 0, -160, 0, -56, 0, 80, 0, -96, 0, -64, 0, 208, 0, 0, 0, 56, 0, 8, 0, -64, 0, 112, 0, -176, 0, -280, 0, 456, 0, 0, 0, -288, 0, -72, 0, 16, 0, 168, 0, -512, 0, -112, 0, -304, 0, 48, 0, 8, 0, -432, 0, -232, 0, 56, 0, 240, 0, 144, 0, 0, 0, -496, 0, 32, 0, -32, 0, 96, 0, -312, 0, 64, 0, -248, 0, -72, 0, -8, 0, -824, 0, -272, 0, -16, 0, 72, 0, 32, 0, 80, 0, 256, 0, -16, 0, 112, 0, -200, 0, -256, 0, -144, 0, 24, 0, -16, 0, 176, 0, -680, 0, 112, 0, 8, 0, -416, 0, -40, 0, 112, 0, 8, 0, 304, 0, -16, 0, 352, 0, 176, 0, -248, 0, 152, 0, -32, 0, 32, 0, -368, 0, -392, 0, -16, 0, 16, 0, 88, 0, -64, 0, 0, 0, 64, 0, 80, 0, 488, 0, -176, 0, -8, 0, 648, 0, 0, 0, -64, 0, -272, 0, -480, 0, 384, 0, -40, 0, -312, 0, 0, 0, 592, 0, -64, 0, -256, 0, 104, 0, -40, 0, -288, 0, -48, 0, -208, 0, 8, 0, 128, 0, -224, 0, -24, 0, -72, 0, 248, 0, -248, 0, 160, 0, 104, 0, -80, 0, -408, 0, -328, 0, -256, 0, 504, 0, -344, 0, 192, 0, -672, 0, 136, 0, 48, 0, -200, 0, 272, 0, -192, 0, 200, 0, 64, 0, 16, 0, 144, 0, -528, 0, 24, 0, 592, 0, -32, 0, 32, 0, -184, 0, 32, 0, -72, 0, -120, 0, 560, 0, -32, 0, 352, 0, -168, 0, -344, 0, 280, 0, 280, 0, -40, 0, 504, 0, 40, 0, 24, 0, -112, 0, -240, 0, -280, 0, 240, 0, 0, 0, 72, 0, 536, 0, -264, 0, -48, 0, -104, 0, -96, 0, -160, 0, -128, 0, 336, 0, -64, 0, 0, 0, -56, 0, 24, 0, -336, 0, 400, 0, 168, 0, 352, 0, 48, 0, 0, 0, 0, 0, -672, 0, 0, 0, 280, 0, -176, 0, -64, 0, 480, 0, -120, 0, -24, 0, 176, 0, 544, 0, 16, 0, -336, 0, 200, 0, 184, 0, 288, 0, -232, 0, -104, 0, 216, 0, 0, 0, 0, 0, 224, 0, 24, 0, -160, 0, -16, 0, -448, 0, 256, 0, 512, 0, 32, 0, 8, 0, 424, 0, -48, 0, -392, 0, -48, 0, 448, 0, 88, 0, 16, 0, -128, 0, -40, 0, -432, 0, -56, 0, -160, 0, 568, 0, -248, 0, -272, 0, 16, 0, -128, 0, 160, 0, 472, 0, -88, 0, 16, 0, 56, 0, 104, 0, -32, 0, 296, 0, 376, 0, 0, 0, 96, 0, -232, 0, -200, 0, -240, 0, 704, 0, 64, 0, 512, 0, -72, 0, 56, 0, -152, 0, 424, 0, 24, 0, -64, 0, 152, 0, -208, 0, -616, 0, -64, 0, 48, 0, -40, 0, -760, 0, 24, 0, 0, 0, -656, 0, -160, 0, 200, 0, 48, 0, 8, 0, 512, 0], "hecke_cutter_primes": [5, 7], "level_primes": [2, 3, 23, 29], "relative_dim": 104, "hecke_orbit_code": 33562436, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [0, 0, 0, 0, 0, 0, 0, 0, 14, 10, 12, 16, 10, 18, 16, 8], "newforms": ["8004.2.a.a", "8004.2.a.b", "8004.2.a.c", "8004.2.a.d", "8004.2.a.e", "8004.2.a.f", "8004.2.a.g", "8004.2.a.h", "8004.2.a.i", "8004.2.a.j", "8004.2.a.k"], "oldspaces": [[23, 1, 1, 12], [29, 1, 1, 12], [46, 1, 1, 8], [58, 1, 1, 8], [69, 1, 1, 6], [87, 1, 1, 6], [92, 1, 1, 4], [116, 1, 1, 4], [138, 1, 1, 4], [174, 1, 1, 4], [276, 1, 1, 2], [348, 1, 1, 2], [667, 1, 1, 6], [1334, 1, 1, 4], [2001, 1, 1, 3], [2668, 1, 1, 2], [4002, 1, 1, 2]]}