# Stored data for newspace 400.2.y, downloaded from the LMFDB on 23 April 2024. {"label": "400.2.y", "level": 400, "weight": 2, "char_conductor": 25, "char_degree": 4, "char_parity": 1, "sturm_bound": 120, "dim": 56, "eis_dim": 48, "eis_new_dim": 8, "cusp_dim": 216, "mf_dim": 264, "char_order": 10, "char_orbit_label": "y", "char_is_real": false, "trace_bound": 5, "num_forms": 4, "Nk2": 1600, "analytic_conductor": 3.1940160808512155, "level_radical": 10, "mf_new_dim": 64, "char_values": [400, 10, [351, 101, 177], [10, 10, 1]], "hecke_orbit_dims": [8, 8, 8, 32], "trace_display": [0, 5, -3, 0], "traces": [56, 0, 5, 0, -3, 0, 0, 0, 9, 0, -3, 0, -5, 0, 13, 0, -5, 0, 9, 0, 6, 0, 35, 0, 1, 0, 5, 0, -5, 0, 9, 0, -5, 0, -28, 0, -30, 0, 1, 0, -5, 0, 0, 0, -7, 0, 5, 0, -48, 0, 62, 0, -10, 0, 13, 0, 0, 0, 21, 0, 7, 0, -30, 0, 4, 0, -25, 0, -9, 0, 17, 0, -5, 0, -11, 0, 30, 0, -7, 0, -39, 0, -25, 0, 20, 0, -55, 0, -18, 0, -30, 0, 0, 0, -113, 0, -25, 0, -76, 0, -18, 0, -85, 0, 18, 0, 0, 0, 31, 0, 43, 0, -30, 0, -63, 0, 20, 0, -56, 0, 5, 0, -95, 0, -27, 0, 5, 0, -18, 0, -15, 0, 30, 0, 111, 0, -45, 0, 5, 0, 15, 0, 0, 0, -9, 0, -15, 0, 26, 0, -72, 0, -80, 0, 5, 0, 0, 0, 25, 0, 34, 0, 95, 0, -53, 0, 155, 0, 9, 0, -26, 0, 0, 0, 16, 0, 55, 0, 63, 0, 35, 0, 65, 0, 51, 0, 75, 0, 78, 0, 65, 0, 0, 0, 301, 0, 40, 0, 116, 0, -38, 0, 60, 0, 4, 0, 0, 0, 43, 0, -63, 0, 75, 0, 26, 0, 70, 0, 93, 0, -66, 0, 175, 0, 54, 0, 35, 0, 0, 0, -70, 0, 20, 0, -61, 0, -5, 0, 9, 0, 32, 0, 0, 0, 11, 0, 65, 0, -6, 0, 204, 0, -5, 0, 120, 0, 0, 0, -34, 0, -6, 0, -85, 0, -69, 0, -145, 0, -42, 0, -35, 0, 90, 0, -91, 0, -130, 0, -204, 0, 52, 0, -25, 0, -12, 0, -240, 0, 53, 0, -33, 0, 0, 0, -289, 0, 140, 0, -194, 0, 80, 0, -220, 0, 35, 0, 0, 0, -109, 0, 155, 0, 55, 0, -232, 0, -5, 0, -111, 0, -62, 0, -245, 0, -113, 0, -215, 0, 78, 0, 33, 0, -85, 0, 159, 0, 35, 0, 75, 0, -57, 0, 0, 0, 3, 0, -65, 0, -18, 0, -190, 0, 55, 0, -111, 0, 0, 0, 13, 0, -39, 0, 285, 0, -37, 0, 175, 0, -46, 0, -22, 0, -5, 0, 17, 0, -170, 0, 131, 0, -113, 0, -45, 0, -62, 0, 120, 0, -25, 0, 117, 0, 0, 0, 267, 0, -85, 0, 144, 0, 10, 0, 115, 0, 113, 0, 0, 0, -64, 0, -173, 0, 90, 0, 173, 0, -85, 0, 69, 0, 15, 0, 425, 0, -170, 0, 240, 0, -54, 0, -9, 0, -110, 0, -91, 0, -65, 0, 89, 0, -81, 0, 0, 0, -22, 0, 230, 0, -26, 0, 170, 0, -160, 0, 74, 0, 0, 0, -12, 0, 36, 0, -245, 0, 20, 0, -295, 0, 118, 0, -202, 0, -10, 0, 11, 0, 115, 0, -31, 0, -118, 0, -120, 0, 179, 0, -175, 0, -77, 0, -249, 0, 0, 0, -498, 0, -170, 0, -92, 0, 18, 0, 65, 0, -38, 0, 0, 0, 112, 0, 60, 0, 20, 0, -119, 0, 135, 0, -209, 0, 94, 0, -265, 0, 334, 0, -195, 0, -95, 0, 21, 0, 55, 0, 20, 0, -205, 0, -105, 0, 120, 0, 0, 0, -58, 0, -155, 0, -110, 0, -282, 0, -70, 0, -131, 0, 0, 0, 88, 0, 4, 0, 245, 0, -69, 0, 430, 0, 63, 0, 107, 0, 135, 0, 131, 0, 195, 0, 252, 0, 46, 0, 35, 0, 191, 0, 295, 0, 83, 0, 267, 0, 0, 0, 430, 0, 320, 0, 148, 0, -66, 0, 120, 0, 80, 0, 0, 0, 230, 0, -151, 0, -10, 0, 241, 0, 200, 0, 279, 0, -126, 0, 370, 0, 129, 0, 400, 0, 86, 0, -171, 0, 155, 0, -31, 0, 245, 0, 147, 0, 63, 0, 0, 0, 154, 0, 255, 0, 126, 0, 128, 0, 75, 0, 119, 0, 0, 0, -67, 0, -109, 0, -360, 0, 42, 0, -305, 0, -149, 0, -25, 0, 140, 0, -27, 0, -145, 0, -258, 0, 47, 0, 125, 0, -258, 0, -285, 0, 80, 0, -207, 0, 0, 0, -317, 0, 240, 0, -310, 0, -62, 0, -205, 0, -69, 0, 0, 0, -45, 0, 297, 0, 35, 0, -274, 0, -325, 0, -189, 0, -150, 0, -545, 0, -177, 0, -425, 0, 132, 0, 46, 0, -245, 0, 189, 0, 115, 0, -159, 0, 20, 0, 0, 0, 69, 0, -320, 0, -88, 0, -144, 0, 140, 0, -4, 0, 0, 0, 321, 0, -77, 0, 420, 0, -20, 0, 505, 0, -125, 0, 222, 0, -205, 0, -45, 0, -170, 0, 229, 0, -109, 0, 105, 0, -96, 0, 165, 0, -209, 0, 132, 0, 0, 0, 609, 0, -250, 0, 166, 0, 130, 0, -85, 0, -158, 0, 0, 0, -110, 0, -321, 0, -265, 0, 103, 0, -30, 0, 308, 0, 179, 0, 485, 0, -269, 0, 285, 0, -150, 0, -205, 0, -195, 0, -87, 0, -360, 0, -3, 0, -43, 0, 0, 0, -196, 0, 170, 0, -94, 0, 342, 0, -100, 0, 98, 0, 0, 0, -175, 0, 234, 0, -425, 0, -2, 0, -490, 0, 91, 0, -95, 0, -260, 0, -232, 0, 335, 0, -390, 0, -97, 0, -145, 0, 99, 0, -395, 0, -62, 0, -226, 0, 0, 0, -493, 0, -420, 0, -414, 0, -194, 0, -300, 0, -116, 0, 0, 0, 41, 0, 295, 0, 75, 0, -345, 0, 230, 0, -215, 0, 214, 0, -485, 0, 123, 0, -655, 0, -129, 0, 253, 0, 415, 0, 125, 0, -310, 0, -273, 0, -8, 0, 0, 0, -114, 0, -275, 0, 208, 0, -94, 0, -65, 0, -225, 0, 0, 0, -24, 0, 153, 0, 590, 0, 29, 0, 465, 0, 89, 0, 139, 0, 250, 0, 23, 0, 255, 0, 117, 0, 376, 0, -135, 0, 267, 0, 220, 0, 242, 0, 383, 0, 0, 0, 424, 0, 115, 0, 410, 0], "hecke_cutter_primes": [3], "level_primes": [2, 5], "relative_dim": 14, "hecke_orbit_code": 1649300996496, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 25, "prim_orbit_index": 5, "conrey_index": 129, "newforms": ["400.2.y.a", "400.2.y.b", "400.2.y.c", "400.2.y.d"], "oldspaces": [[25, 5, 4, 5], [50, 5, 9, 4], [100, 9, 9, 3], [200, 17, 9, 2]]}