# Stored data for newspace 522.2.e, downloaded from the LMFDB on 21 September 2026. {"Nk2": 2088, "analytic_conductor": 4.168190985510836, "char_conductor": 9, "char_degree": 2, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [522, 3, [407, 379], [1, 3]], "conrey_index": 175, "cusp_dim": 172, "dim": 56, "eis_dim": 16, "eis_new_dim": 0, "hecke_cutter_primes": [5, 7], "hecke_orbit_code": 274911461898, "hecke_orbit_dims": [2, 2, 2, 2, 4, 6, 8, 12, 18], "label": "522.2.e", "level": 522, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 29], "level_radical": 174, "mf_dim": 188, "mf_new_dim": 56, "num_forms": 9, "prim_orbit_index": 3, "relative_dim": 28, "sturm_bound": 180, "trace_bound": 5, "trace_display": [2, 6, -4, 4], "traces": [56, 2, 6, -28, -4, 2, 4, -4, 6, 0, 2, 0, 4, 8, -20, -28, -12, 12, 4, -4, -16, -6, 0, 2, -40, -8, 0, -8, 6, -10, -8, 2, 24, -6, 64, -6, 16, -8, -16, 0, -2, -12, -2, -4, 48, 0, -4, -6, -24, -10, -38, 4, -40, 2, 24, 8, 6, 0, 14, 16, 28, 24, -20, 56, -42, 16, 10, 6, 4, 0, 8, -6, -44, 0, -54, -2, -8, -42, 4, 8, 54, 12, 60, 8, 0, -30, 0, -6, -96, 52, -64, 0, -10, 0, 0, -4, -14, -20, -12, 80, -4, 10, 16, 4, 84, 0, 4, 18, -8, -16, 32, 4, -32, -34, -24, -12, -54, 12, 8, 8, -34, 16, 72, -8, 156, -28, 40, 2, 36, -24, 88, -48, 32, -20, -32, 12, 22, -88, -2, -32, 50, -24, 24, 0, 0, -18, -48, -8, -16, 34, 4, 16, -42, 48, 12, 44, -32, 24, 164, 0, -32, 18, -56, -2, -48, 36, -84, -24, -24, -16, 50, 4, -14, 0, 4, 2, -88, 12, -72, -42, -32, 80, -100, 0, 132, -16, 30, 8, -4, 0, -76, 6, 46, -14, -44, -24, -48, -2, -32, -10, -4, -24, 8, -8, 24, -80, -116, -8, -110, -72, 64, 20, 128, 18, 48, -22, -16, 28, -50, -12, -48, 36, 76, -16, -148, -24, -22, 12, 76, 8, 80, 0, -4, 76, -48, 14, 180, -12, -76, 4, 22, 88, -114, -56, 20, 82, 8, -12, 68, -36, 4, 40, -144, -26, -124, -28, -2, 64, 20, 84, 8, -36, 100, 34, 42, 8, 84, 10, 80, 68, -56, 6, -12, -30, -130, 4, -14, 132, 192, 0, 32, -20, 4, -4, 36, -18, 128, -6, 20, 20, -162, 22, 156, -42, -24, 0, -30, 72, -36, 6, -4, 36, -88, -2, -368, 100, 76, -8, 96, 6, 28, 30, 70, 168, -76, -8, 60, 18, 0, -4, -214, -48, -100, -24, 100, -88, -32, -6, -48, -148, 52, -120, -108, 72, 104, 8, -38, -42, -60, 0, 148, 108, -112, -30, 52, 0, 90, 0, -68, -224, 92, 12, -50, -50, -24, 48, 64, 60, -264, 4, 144, 0, 220, 32, -80, -64, -44, 0, 170, 96, 24, -4, -20, 46, 72, 0, -32, 60, -92, 0, 120, -42, -172, 2, 12, 28, -268, 28, -8, 82, 48, 10, -84, -48, 128, 42, -176, 0, 96, -40, -34, -74, 20, 8, -186, 0, -40, -26, -2, 8, 90, 16, 272, -84, -144, 4, 12, -18, 28, 36, -32, -16, -44, 0, 62, 28, 44, -2, -222, -54, -80, -18, -44, -116, 28, 4, 72, -130, 28, 32, -94, 48, -54, -16, 48, 48, -60, 4, 244, 118, 36, -32, -132, -42, 144, -46, 52, -80, -164, 48, -96, 224, 76, 6, 180, -42, -156, -18, 32, 22, 24, -6, -112, -32, 82, -16, -94, -48, 184, 2, 32, -70, -24, -34, -96, -4, 64, 16, -14, -84, 94, -114, 0, 248, 492, 16, -36, -16, -50, -78, -96, -6, -24, 8, 264, 124, 130, -20, 112, -36, 80, -4, 162, 132, -132, -54, 66, -68, -36, -24, 52, 0, -56, 88, 36, -24, -12, 24, 44, -320, 234, -64, 192, -196, -60, 10, -320, -48, 308, 64, -248, 48, 56, -6, 60, -76, 70, -44, -20, 72, 0, 44, 56, 60, 184, -2, 508, -68, -112, -32, 106, 36, -34, -4, -72, -256, 436, 48, -14, -20, -50, -12, 188, 0, -56, 6, 4, -48, -40, 0, -60, 4, -12, 36, -334, 0, -258, -42, 80, -116, -84, -8, -64, -230, -144, -16, -100, 48, -80, -8, -62, 64, 134, -8, 34, -124, -80, -8, -64, 24, -48, 114, 40, 10, 60, -24, 30, -20, 46, -24, -68, -60, -276, -28, -28, -30, -94, -32, -208, 152, 64, 24, 146, -36, -124, -88, -12, -40, 144, 0, 258, 166, 142, 16, 314, 42, -176, -30, -36, 76, 16, 28, 232, -186, -156, 4, -346, 0, 112, -90, -74, -112, 20, 36, -304, -116, 48, -84, -56, 48, 0, 36, 64, 204, 6, 48, -144, 172, 176, 8, 126, -24, -252, -22, -216, -44, -248, -2, -138, -44, 52, 28, 32, 12, -28, 0, -126, 168, -186, 4, 136, -120, -208, 2, -394, -42, 272, 74, -104, 216, 148, -24, -84, 16, -12, 36, -156, -60, 24, -6, 8, 84, -50, 16, 30, -124, 112, -160, -222, 96, -226, -4, -20, -102, 200, 0, -36, -74, 28, 132, -262, 0, -68, 56, 30, -56, 40, -60, 188, 150, -56, -4, 438, 0, 72, 104, -8, 26, 220, 0, -198, 232, 20, 152, 12, 0, 180, 0, -32, 40, 156, 46, 24, 180, 112, -14, -48, -24, 214, 52, 36, 328, 36, 48, 48, -8, 136, 24, 16, 78, 56, 46, 80, 4, -12, 16, -228, -40, -24, 20, 80, 204, 30, 2, -36, 32, 316, -24, 132, -8, -20, 8, 106, 72, 116, 46, 86, -52, -524, -48, -16, 124, 124, 40, -84, 24, -544, 88, 64, -96, 104, 4, 170, 218, 96, 220, -4, -72, 132, 120, -28, -100, -576, 64, 136, -114, -176, 20, 380, -66, -168, -184, 52, -248, -516, -36, 56, 108, 94, -24, 80, -48, 232, 20, 144, -114, -28, 8, -62, 6, 68, -56, 188, -192, -12, -80, 148, 156, 64, -12, -336, 58, -212, -48, 80, -72, -148, -24, 8, -56, 114, -152, 132, 98, -96, 8, 172, -102, -56, 104, 192, 2, 64, 12, -314, 220, -14, 44, -416, 0, -36, -18, 0, 250, -252, 76, -16, -2, 136, 8, 112, -48, -84, -88, -32, 104, -316, 0, -162, -376, 30, 2, 140, -102, 848, -128, -116, -192, -30, 24, -120, 232, 120, -28, 48, -60, 6, -18, 8, 36, -144, -12, -140, 52, -216, -76, 28, -84, 96, -20, -72, -160, -230, -44, -80, 60, 100, -44, -194, -24, 464, 114, 8, -32, -504, 28, 106, -48, 48, -40, -230, 60, -124, 76, 0, 44, 84, 8, -696, -304, -344, -12, -26, 24, 204, 56, -164, -156, 68, 72], "weight": 2, "weight_parity": 1, "newforms": ["522.2.e.a", "522.2.e.b", "522.2.e.c", "522.2.e.d", "522.2.e.e", "522.2.e.f", "522.2.e.g", "522.2.e.h", "522.2.e.i"], "oldspaces": [[18, 3, 7, 2], [261, 5, 88, 2]]}