# Stored data for newspace 1728.2.s, downloaded from the LMFDB on 19 April 2024. {"label": "1728.2.s", "level": 1728, "weight": 2, "char_conductor": 36, "char_degree": 2, "char_parity": 1, "sturm_bound": 576, "dim": 44, "eis_dim": 144, "eis_new_dim": 8, "cusp_dim": 504, "mf_dim": 648, "char_order": 6, "char_orbit_label": "s", "char_is_real": false, "trace_bound": 7, "num_forms": 7, "Nk2": 6912, "analytic_conductor": 13.79814946927725, "level_radical": 6, "mf_new_dim": 52, "char_values": [1728, 6, [703, 325, 1217], [3, 6, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 4, 8, 24], "trace_display": [0, 0, -6, 0], "traces": [44, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 138, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -174, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 210, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -438, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -390, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -222, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 474, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 492, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -486, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, -558, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -138, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -366, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 714, 0, 0, 0, 0, 0, 0, 0, 372, 0, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, -210, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 738, 0, 0, 0, 0, 0, 0, 0, 242, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 486, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 222, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -366, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 696, 0, 0, 0, 0, 0, 0, 0, -668, 0, 0, 0, -294, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, 390, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 618, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -234, 0, 0, 0, -426, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -660, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, -282, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -894, 0, 0, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118, 0, 0, 0, -270, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -474, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -300, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 762, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 174, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, -660, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0, 906, 0, 0, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 354, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, -1110, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 438, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -234, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -798, 0, 0, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 294, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 242, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -306, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 834, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, -618, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 438, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 954, 0, 0, 0, 0, 0, 0, 0, 422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 546, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 266, 0, 0, 0, -282, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 378, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -1062, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0], "hecke_cutter_primes": [5, 7], "level_primes": [2, 3], "relative_dim": 22, "hecke_orbit_code": 1236984137408, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 19, "prim_orbit_index": 8, "conrey_index": 575, "newforms": ["1728.2.s.a", "1728.2.s.b", "1728.2.s.c", "1728.2.s.d", "1728.2.s.e", "1728.2.s.f", "1728.2.s.g"], "oldspaces": [[36, 8, 11, 10], [72, 15, 23, 8], [108, 8, 35, 5], [144, 19, 47, 6], [216, 15, 71, 4], [432, 19, 143, 3]]}