# Stored data for newspace 441.2.h, downloaded from the LMFDB on 24 April 2024. {"label": "441.2.h", "level": 441, "weight": 2, "char_conductor": 63, "char_degree": 2, "char_parity": 1, "sturm_bound": 112, "dim": 72, "eis_dim": 32, "eis_new_dim": 16, "cusp_dim": 96, "mf_dim": 128, "char_order": 3, "char_orbit_label": "h", "char_is_real": false, "trace_bound": 5, "num_forms": 8, "Nk2": 1764, "analytic_conductor": 3.521402729138465, "level_radical": 21, "mf_new_dim": 88, "char_values": [441, 3, [344, 199], [2, 2]], "hecke_orbit_dims": [2, 6, 6, 6, 6, 10, 12, 24], "trace_display": [2, 1, -5, 0], "traces": [72, 2, 1, 66, -5, 2, 0, -12, -7, 6, 3, 20, 3, 0, 10, 54, -9, -26, 0, -4, 0, 0, 4, -6, -21, -16, 7, 0, -18, -15, -6, -82, -29, 0, 0, -70, 3, -19, 11, 6, -10, 0, 0, -11, 19, -12, 54, 5, 0, -45, 58, 15, 16, -1, 6, 0, -15, 9, 60, 5, 0, 12, 0, 12, -60, -34, -12, -30, -6, 0, 6, -36, -12, 41, 26, -6, 0, 69, -36, -19, -55, 0, -18, 0, 3, 25, -5, -9, -41, -25, 0, -52, -50, -6, 34, -59, 3, 0, -34, -21, -25, 80, -6, 6, 0, -21, -11, 59, 18, 50, 21, 0, -43, 1, -21, 18, 22, -60, 0, -47, 15, 56, 97, 18, 42, 0, -72, -176, -73, -18, -53, 47, 0, 258, -5, 3, -73, 90, -6, 0, 138, 54, -32, -126, 9, 18, 0, -63, 70, 28, 42, -27, -42, 0, 70, -113, 66, -154, -78, 24, 0, -59, -6, -14, 139, -3, -38, 0, 15, 135, 25, -48, 92, -37, 0, -109, 19, -24, 78, 11, 72, 0, -41, -87, -18, -137, -24, -60, 0, -42, 14, -65, 54, -33, -44, 0, 14, 121, 27, 67, 43, 48, 0, 46, 84, -14, -4, -15, -23, 0, 15, 18, 78, -87, -61, -3, 0, -133, 74, -54, 100, -105, -9, 0, -145, 42, -21, 46, 36, 45, 0, -60, 68, 41, -24, 120, 68, 0, -34, 93, 36, 1, 61, 0, 0, 197, 39, 36, -197, -42, 112, 0, 78, 130, -24, -102, -37, 70, 0, 254, 157, -57, 11, 54, -48, 0, 166, -270, -6, 186, 9, 18, 0, 0, 117, -9, 0, 15, 15, 0, -90, -5, -78, 108, -41, -45, 0, 33, 9, -22, 77, -21, -7, 0, 15, 51, -2, 0, 72, -62, 0, 225, 110, 15, -79, -60, -108, 0, 19, 0, 102, 128, -18, -70, 0, -114, -284, -18, -144, 34, -77, 0, -12, -334, -9, 221, 0, 6, 0, -33, -150, -9, -71, 36, -53, 0, 27, -160, -38, 144, -30, -22, 0, -77, -261, 132, 102, -34, 9, 0, -43, -120, 19, -251, -24, -16, 0, 42, -1, -3, 78, -88, 80, 0, 23, 71, -48, -29, 38, 150, 0, 135, -6, 18, 69, 48, 22, 0, -78, 150, -15, 84, -30, 120, 0, -10, -36, 102, -142, 59, 45, 0, -206, 162, -16, 209, -33, 87, 0, 111, -96, -79, 18, 4, 16, 0, 19, 207, -60, -138, 84, 0, 0, -27, 99, 37, -222, -33, -75, 0, 72, -13, -3, 36, -36, -153, 0, -159, -196, 75, -108, -58, 12, 0, -135, 57, -96, 98, 114, -48, 0, 132, 112, 81, 78, 32, -84, 0, -430, 113, -48, 26, -109, -90, 0, -413, -138, -8, -314, -33, -64, 0, 30, 220, 33, -30, 24, -46, 0, -110, 125, -114, -498, 58, -6, 0, -100, -18, -76, -194, -39, 61, 0, -3, -69, -4, 90, -126, 73, 0, 112, 196, -24, 224, 4, -96, 0, -32, 39, -72, -102, -6, 96, 0, -228, 164, 147, -240, -10, 66, 0, -314, -282, -18, -28, -5, 33, 0, 61, 6, 18, 252, -9, 32, 0, -69, -127, 8, 144, 75, 138, 0, 145, -145, 252, 314, 92, 36, 0, 392, 33, 32, 40, 39, -30, 0, -15, -316, -26, -93, 106, -66, 0, -142, -298, -111, -124, 33, 102, 0, -113, -171, 40, 82, -72, -82, 0, -114, -420, 59, 60, 47, -113, 0, 210, 124, 87, -165, -181, -3, 0, 84, 348, 66, -237, -51, -59, 0, 9, -178, -74, -237, 30, 2, 0, 556, 17, -120, 16, 69, -33, 0, 276, 120, 59, 209, 57, 121, 0, 30, 107, -51, -3, -166, 11, 0, -25, 230, 108, 352, -3, 12, 0, 159, 150, -104, 267, -66, -6, 0, 246, 562, -35, -90, 48, 36, 0, 278, 104, -126, -84, 47, -33, 0, 145, -108, -19, 459, 27, 40, 0, -24, 10, -21, 84, 73, 30, 0, 145, 299, -186, 242, 21, -48, 0, -319, -132, 47, 148, 60, -77, 0, 48, -82, -124, 93, -42, 26, 0, 170, -82, 6, -197, -37, -108, 0, 182, 81, -72, -298, 42, -26, 0, -48, 464, 39, -90, 161, -108, 0, -86, 60, -87, -100, -165, 15, 0, 93, 84, 123, 61, 96, 75, 0, -78, 183, 111, 120, -36, -16, 0, -84, 399, 306, 544, 109, 102, 0, 131, 24, -12, 43, -9, 81, 0, -18, -26, -74, -75, -306, 19, 0, 294, -376, -93, -37, -30, 66, 0, 163, -72, -42, 340, 18, 122, 0, 12, -726, 72, 234, 18, 153, 0, 220, -73, 186, 311, -77, 66, 0, -11, 216, 104, 259, 60, 3, 0, 114, -204, -61, -156, 84, -56, 0, 28, -759, -84, -768, 121, 3, 0, 369, 177, 78, -182, -12, 4, 0, 15, -168, -86, 90, -174, 14, 0, -53, 254, 132, -204, -130, 0, 0, -85, 153, 40, -771, 108, -296, 0, 246, 20, 18, 228, 66, -19, 0, -580, 130, -48, -100, -98, -57, 0, -862, -252, -10, 193, 27, -65, 0, 24, -247, -22, -27, 75, 93, 0, -293, 330, -144, 478, 216, -69, 0, -209, -159, 142, -417, -90, -5, 0, -120, 305, -56, 12, -190, -68, 0, -120, -611, 0, -442, 144, -258, 0, -429, 24, -258, 231, -6, 72, 0, 0, 188, -42, -18, 14, -63, 0, -1344, 83, -51, -158, -78, 27, 0, -222, 450, -48, -873, -78, 1, 0, -117, 339, 31, -87, 156, -46, 0, -104, 462, 258, -726, 184, 114, 0, -91, -48, -6, -4, 39, 21, 0, -60, -324, 8, -270, -46, -3, 0, 17, 20, -198, 149, -129, 90, 0, -430, -249, -184, -224, -162, -48, 0, 438, 274, 121, 156, 67, -75, 0, 134, -122, 108, -370, -77, 96, 0, 79, 42, 15, 171, -120, 77, 0, -3, -141, 150, 15, 3, 29, 0, 152, -179, -60, 694, 26, -9, 0, 423, 18, -57, 96, 48, -69, 0, 195, -172, 35, 81, 0, 254, 0, 41, -519, 144, 99, 87, 108], "hecke_cutter_primes": [2, 5], "level_primes": [3, 7], "relative_dim": 36, "hecke_orbit_code": 481069892025, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 8, "prim_orbit_index": 8, "conrey_index": 214, "newforms": ["441.2.h.a", "441.2.h.b", "441.2.h.c", "441.2.h.d", "441.2.h.e", "441.2.h.f", "441.2.h.g", "441.2.h.h"], "oldspaces": []}