# Group 960.10052 downloaded from the LMFDB on 13 November 2025. ## Various presentations of this group are stored in this file: # GPC is polycyclic presentation GPerm is permutation group # GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups # Many characteristics of the group are stored as booleans in a record: # Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, # metacyclic, monomial, nilpotent, perfect, quasisimple, rational, # solvable, supersolvable # The character table is stored as a record chartbl_n_i where n is the order # of the group and i is which group of that order it is. The record is # converted to a character table using ConvertToLibraryCharacterTableNC # Constructions GPC := PcGroupCode(1766310822433241266427578932661249,960); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.6; GPerm := Group( (1,2)(3,5)(4,6)(7,8)(10,11)(16,17), (1,3)(2,5)(4,8)(6,7)(12,13)(14,15)(16,17), (1,4,3,8)(2,6,5,7)(12,13)(14,15), (1,4,3,8)(2,7,5,6)(12,14,13,15), (18,19,20,21,22), (1,3)(2,5)(4,8)(6,7)(12,13)(14,15), (1,3)(2,5)(4,8)(6,7), (9,10,11) ); GLZN := Group([[[ZmodnZObj(67,88), ZmodnZObj(11,88)], [ZmodnZObj(66,88), ZmodnZObj(1,88)]],[[ZmodnZObj(45,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(45,88)]],[[ZmodnZObj(67,88), ZmodnZObj(77,88)], [ZmodnZObj(22,88), ZmodnZObj(45,88)]],[[ZmodnZObj(9,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(9,88)]],[[ZmodnZObj(67,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(67,88)]],[[ZmodnZObj(1,88), ZmodnZObj(44,88)], [ZmodnZObj(0,88), ZmodnZObj(1,88)]],[[ZmodnZObj(25,88), ZmodnZObj(48,88)], [ZmodnZObj(16,88), ZmodnZObj(73,88)]],[[ZmodnZObj(73,88), ZmodnZObj(47,88)], [ZmodnZObj(50,88), ZmodnZObj(59,88)]]]); # Booleans booleans_960_10052 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_960_10052:=rec(); chartbl_960_10052.IsFinite:= true; chartbl_960_10052.UnderlyingCharacteristic:= 0; chartbl_960_10052.UnderlyingGroup:= GPC; chartbl_960_10052.Size:= 960; chartbl_960_10052.InfoText:= "Character table for group 960.10052 downloaded from the LMFDB."; chartbl_960_10052.Identifier:= " C4^2:S3*C10 "; chartbl_960_10052.NrConjugacyClasses:= 360; chartbl_960_10052.ConjugacyClasses:= [ of ..., f5, f5*f7*f8, f7*f8, f2*f3^2, f2*f3^2*f7*f8, f2*f3^2*f5, f2*f3^2*f5*f7*f8, f1, f1*f2*f3^2, f1*f7, f1*f2*f3^2*f7, f8, f4*f5, f4, f4*f5*f7*f8, f4*f7*f8, f2*f3^2*f4*f5, f2*f3^2*f4, f2*f3^2*f4*f5*f7*f8, f2*f3^2*f4*f7*f8, f6*f7, f6*f8^2, f2*f3^2*f6*f7, f2*f3^2*f6*f8^2, f4*f5*f6*f7, f4*f6*f8^2, f2*f3^2*f4*f5*f6*f7, f2*f3^2*f4*f6*f8^2, f1*f4, f1*f2*f3^2*f4, f1*f4*f7, f1*f2*f3^2*f4*f7, f1*f6, f1*f5*f6*f7*f8, f1*f2*f3^2*f6, f1*f2*f3^2*f5*f6*f7*f8, f1*f4*f6, f1*f4*f6*f7*f8, f1*f2*f3^2*f4*f6, f1*f2*f3^2*f4*f6*f7*f8, f3^2, f3^3, f3^4, f3, f2*f3^2*f8^2, f2*f3^2*f7*f8^2, f2*f3^2*f5*f8^2, f2*f3^2*f5*f7*f8^2, f5*f8, f7*f8^2, f5*f7*f8^2, f3^2*f5, f3^3*f5, f3*f5, f3^4*f5, f3^2*f5*f7*f8, f3^3*f5*f7*f8, f3*f5*f7*f8, f3^4*f5*f7*f8, f3^2*f7*f8, f3^3*f7*f8, f3*f7*f8, f3^4*f7*f8, f2*f3, f2*f3^3, f2*f3^4, f2, f2*f3*f7*f8, f2*f3^3*f7*f8, f2*f3^4*f7*f8, f2*f7*f8, f2*f3*f5, f2*f3^3*f5, f2*f3^4*f5, f2*f5, f2*f3*f5*f7*f8, f2*f3^3*f5*f7*f8, f2*f3^4*f5*f7*f8, f2*f5*f7*f8, f1*f3, f1*f3^4, f1*f3^3, f1*f3^2, f1*f2, f1*f2*f3^4, f1*f2*f3, f1*f2*f3^3, f1*f3*f7, f1*f3^4*f7, f1*f3^3*f7, f1*f3^2*f7, f1*f2*f7, f1*f2*f3^4*f7, f1*f2*f3*f7, f1*f2*f3^3*f7, f4*f8^2, f4*f5*f8, f4*f7*f8^2, f4*f5*f7, f2*f3^2*f4*f8^2, f2*f3^2*f4*f5*f8, f2*f3^2*f4*f7*f8^2, f2*f3^2*f4*f5*f7, f6*f8, f6*f7*f8, f6, f6*f7*f8^2, f2*f3^2*f6*f8, f2*f3^2*f6*f7*f8, f2*f3^2*f6, f2*f3^2*f6*f7*f8^2, f4*f6*f8, f4*f5*f6*f7*f8, f4*f6, f4*f5*f6*f7*f8^2, f2*f3^2*f4*f6*f8, f2*f3^2*f4*f5*f6*f7*f8, f2*f3^2*f4*f6, f2*f3^2*f4*f5*f6*f7*f8^2, f3*f8^2, f3^4*f8, f3^2*f8, f3^3*f8^2, f3^3*f4*f5, f3^2*f4, f3^4*f4, f3*f4*f5, f3*f4, f3^4*f4*f5, f3^2*f4*f5, f3^3*f4, f3^3*f4*f5*f7*f8, f3^2*f4*f7*f8, f3^4*f4*f7*f8, f3*f4*f5*f7*f8, f3*f4*f7*f8, f3^4*f4*f5*f7*f8, f3^2*f4*f5*f7*f8, f3^3*f4*f7*f8, f2*f3*f4*f5, f2*f3^3*f4, f2*f3^4*f4, f2*f4*f5, f2*f4, f2*f3^4*f4*f5, f2*f3^3*f4*f5, f2*f3*f4, f2*f3*f4*f5*f7*f8, f2*f3^3*f4*f7*f8, f2*f3^4*f4*f7*f8, f2*f4*f5*f7*f8, f2*f4*f7*f8, f2*f3^4*f4*f5*f7*f8, f2*f3^3*f4*f5*f7*f8, f2*f3*f4*f7*f8, f3^3*f6*f7, f3^2*f6*f8^2, f3^4*f6*f8^2, f3*f6*f7, f3*f6*f8^2, f3^4*f6*f7, f3^2*f6*f7, f3^3*f6*f8^2, f2*f3*f6*f7, f2*f3^3*f6*f8^2, f2*f3^4*f6*f8^2, f2*f6*f7, f2*f6*f8^2, f2*f3^4*f6*f7, f2*f3^3*f6*f7, f2*f3*f6*f8^2, f3^3*f4*f5*f6*f7, f3^2*f4*f6*f8^2, f3^4*f4*f6*f8^2, f3*f4*f5*f6*f7, f3*f4*f6*f8^2, f3^4*f4*f5*f6*f7, f3^2*f4*f5*f6*f7, f3^3*f4*f6*f8^2, f2*f3*f4*f5*f6*f7, f2*f3^3*f4*f6*f8^2, f2*f3^4*f4*f6*f8^2, f2*f4*f5*f6*f7, f2*f4*f6*f8^2, f2*f3^4*f4*f5*f6*f7, f2*f3^3*f4*f5*f6*f7, f2*f3*f4*f6*f8^2, f1*f3*f4, f1*f3^4*f4, f1*f3^3*f4, f1*f3^2*f4, f1*f2*f4, f1*f2*f3^4*f4, f1*f2*f3*f4, f1*f2*f3^3*f4, f1*f3*f4*f7, f1*f3^4*f4*f7, f1*f3^3*f4*f7, f1*f3^2*f4*f7, f1*f2*f4*f7, f1*f2*f3^4*f4*f7, f1*f2*f3*f4*f7, f1*f2*f3^3*f4*f7, f1*f3*f6, f1*f3^4*f6*f7, f1*f3^3*f6*f7, f1*f3^2*f6, f1*f3^2*f6*f7, f1*f3^3*f6, f1*f3^4*f6, f1*f3*f6*f7, f1*f2*f6, f1*f2*f3^4*f6*f7, f1*f2*f3*f6*f7, f1*f2*f3^3*f6, f1*f2*f3^3*f6*f7, f1*f2*f3*f6, f1*f2*f3^4*f6, f1*f2*f6*f7, f1*f3*f4*f6, f1*f3^4*f4*f6*f7, f1*f3^3*f4*f6*f7, f1*f3^2*f4*f6, f1*f3^2*f4*f6*f7, f1*f3^3*f4*f6, f1*f3^4*f4*f6, f1*f3*f4*f6*f7, f1*f2*f4*f6, f1*f2*f3^4*f4*f6*f7, f1*f2*f3*f4*f6*f7, f1*f2*f3^3*f4*f6, f1*f2*f3^3*f4*f6*f7, f1*f2*f3*f4*f6, f1*f2*f3^4*f4*f6, f1*f2*f4*f6*f7, f2*f8, f2*f3^4*f8, f2*f3^3*f8, f2*f3*f8, f2*f7, f2*f3^4*f7, f2*f3^3*f7, f2*f3*f7, f2*f5*f8, f2*f3^4*f5*f8, f2*f3^3*f5*f8, f2*f3*f5*f8, f2*f5*f7, f2*f3^4*f5*f7, f2*f3^3*f5*f7, f2*f3*f5*f7, f3^2*f5*f8^2, f3^3*f5*f8, f3^4*f5*f8^2, f3*f5*f8, f3^2*f7, f3^3*f7*f8^2, f3^4*f7, f3*f7*f8^2, f3^2*f5*f7, f3^3*f5*f7*f8^2, f3^4*f5*f7, f3*f5*f7*f8^2, f3*f4*f8, f3^4*f4*f5*f8, f3^2*f4*f5*f8, f3^3*f4*f8, f3*f4*f5*f8, f3^4*f4*f8, f3^2*f4*f8, f3^3*f4*f5*f8, f3*f4*f7, f3^4*f4*f5*f7, f3^2*f4*f5*f7, f3^3*f4*f7, f3*f4*f5*f7, f3^4*f4*f7, f3^2*f4*f7, f3^3*f4*f5*f7, f2*f4*f8, f2*f3^4*f4*f5*f8, f2*f3^3*f4*f5*f8, f2*f3*f4*f8, f2*f4*f5*f8, f2*f3^4*f4*f8, f2*f3^3*f4*f8, f2*f3*f4*f5*f8, f2*f4*f7, f2*f3^4*f4*f5*f7, f2*f3^3*f4*f5*f7, f2*f3*f4*f7, f2*f4*f5*f7, f2*f3^4*f4*f7, f2*f3^3*f4*f7, f2*f3*f4*f5*f7, f3*f6, f3^4*f6*f7*f8^2, f3^2*f6*f7*f8, f3^3*f6*f8, f3*f6*f7*f8^2, f3^4*f6, f3^3*f6, f3^2*f6*f7*f8^2, f3^2*f6*f8, f3^3*f6*f7*f8, f3^4*f6*f7*f8, f3*f6*f8, f3^3*f6*f7*f8^2, f3^2*f6, f3^4*f6*f8, f3*f6*f7*f8, f2*f6, f2*f3^4*f6*f7*f8^2, f2*f3^3*f6*f7*f8, f2*f3*f6*f8, f2*f6*f7*f8^2, f2*f3^4*f6, f2*f3*f6, f2*f3^3*f6*f7*f8^2, f2*f3^3*f6*f8, f2*f3*f6*f7*f8, f2*f3^4*f6*f7*f8, f2*f6*f8, f2*f3*f6*f7*f8^2, f2*f3^3*f6, f2*f3^4*f6*f8, f2*f6*f7*f8, f3*f4*f6, f3^4*f4*f6*f7*f8, f3^2*f4*f6*f7*f8^2, f3^3*f4*f6*f8, f3*f4*f6*f7*f8, f3^4*f4*f6, f3^3*f4*f6, f3^2*f4*f6*f7*f8, f3^2*f4*f6*f8, f3^3*f4*f6*f7*f8^2, f3^4*f4*f6*f7*f8^2, f3*f4*f6*f8, f3^3*f4*f6*f7*f8, f3^2*f4*f6, f3^4*f4*f6*f8, f3*f4*f6*f7*f8^2, f2*f4*f6, f2*f3^4*f4*f6*f7*f8, f2*f3^3*f4*f6*f7*f8^2, f2*f3*f4*f6*f8, f2*f4*f6*f7*f8, f2*f3^4*f4*f6, f2*f3*f4*f6, f2*f3^3*f4*f6*f7*f8, f2*f3^3*f4*f6*f8, f2*f3*f4*f6*f7*f8^2, f2*f3^4*f4*f6*f7*f8^2, f2*f4*f6*f8, f2*f3*f4*f6*f7*f8, f2*f3^3*f4*f6, f2*f3^4*f4*f6*f8, f2*f4*f6*f7*f8^2]; chartbl_960_10052.IdentificationOfConjugacyClasses:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360]; chartbl_960_10052.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 44, 45, 43, 42, 13, 13, 13, 13, 13, 13, 13, 44, 45, 42, 43, 44, 45, 42, 43, 44, 45, 42, 43, 43, 42, 44, 45, 43, 42, 44, 45, 43, 42, 44, 45, 43, 42, 44, 45, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52, 123, 124, 122, 121, 55, 56, 54, 53, 53, 54, 56, 55, 55, 56, 54, 53, 53, 54, 56, 55, 54, 53, 56, 55, 55, 56, 53, 54, 54, 53, 56, 55, 55, 56, 53, 54, 63, 64, 62, 61, 61, 62, 64, 63, 62, 61, 64, 63, 63, 64, 61, 62, 59, 60, 58, 57, 57, 58, 60, 59, 58, 57, 60, 59, 59, 60, 57, 58, 53, 54, 55, 56, 55, 56, 54, 53, 53, 54, 55, 56, 55, 56, 54, 53, 57, 58, 59, 60, 60, 59, 58, 57, 59, 60, 58, 57, 57, 58, 60, 59, 61, 62, 63, 64, 64, 63, 62, 61, 63, 64, 62, 61, 61, 62, 64, 63, 121, 122, 123, 124, 121, 122, 123, 124, 121, 122, 123, 124, 121, 122, 123, 124, 122, 121, 124, 123, 122, 121, 124, 123, 122, 121, 124, 123, 253, 254, 255, 256, 253, 254, 255, 256, 253, 254, 255, 256, 253, 254, 255, 256, 256, 255, 253, 254, 256, 255, 253, 254, 256, 255, 253, 254, 256, 255, 253, 254, 257, 258, 259, 260, 257, 258, 260, 259, 259, 260, 258, 257, 260, 259, 258, 257, 260, 259, 257, 258, 260, 259, 258, 257, 257, 258, 259, 260, 258, 257, 259, 260, 261, 262, 263, 264, 261, 262, 264, 263, 263, 264, 262, 261, 264, 263, 262, 261, 264, 263, 261, 262, 264, 263, 262, 261, 261, 262, 263, 264, 262, 261, 263, 264], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 15, 14, 17, 16, 19, 18, 21, 20, 23, 22, 25, 24, 27, 26, 29, 28, 30, 31, 32, 33, 35, 34, 37, 36, 39, 38, 41, 40, 45, 44, 42, 43, 5, 6, 7, 8, 2, 4, 3, 55, 56, 54, 53, 59, 60, 58, 57, 63, 64, 62, 61, 67, 68, 66, 65, 71, 72, 70, 69, 75, 76, 74, 73, 79, 80, 78, 77, 83, 84, 82, 81, 87, 88, 86, 85, 91, 92, 90, 89, 95, 96, 94, 93, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 22, 23, 24, 25, 24, 25, 26, 27, 26, 27, 28, 29, 28, 29, 43, 42, 45, 44, 127, 128, 131, 132, 125, 126, 129, 130, 135, 136, 139, 140, 133, 134, 137, 138, 143, 144, 147, 148, 141, 142, 145, 146, 151, 152, 155, 156, 149, 150, 153, 154, 159, 160, 163, 164, 157, 158, 161, 162, 167, 168, 171, 172, 165, 166, 169, 170, 175, 176, 179, 180, 173, 174, 177, 178, 183, 184, 187, 188, 181, 182, 185, 186, 191, 192, 190, 189, 195, 196, 194, 193, 199, 200, 198, 197, 203, 204, 202, 201, 207, 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480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480]; chartbl_960_10052.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "3A", "4A1", "4A-1", "4B1", "4B-1", "4C1", "4C-1", "4D1", "4D-1", "4E1", "4E-1", "4F1", "4F-1", "4G1", "4G-1", "4H1", "4H-1", "4I", "4J", "4K", "4L", "4M1", "4M-1", "4N1", "4N-1", "4O1", "4O-1", "4P1", "4P-1", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D-1", "10D3", "10D-3", "10E1", "10E-1", "10E3", "10E-3", "10F1", "10F-1", "10F3", "10F-3", "10G1", "10G-1", "10G3", "10G-3", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "10J1", "10J-1", "10J3", "10J-3", "10K1", "10K-1", "10K3", "10K-3", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12E5", "12E-5", "12F1", "12F-1", "12F5", "12F-5", "12G1", 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1-E(60)^4-E(60)^6-2*E(60)^8+E(60)^12+E(60)^14, E(60)+E(60)^11, -2*E(60)^2+E(60)^12, -1*E(60)^21, 1-E(60)^4-E(60)^6-2*E(60)^8+E(60)^12+E(60)^14, -1*E(60)^4-E(60)^14, E(60)^3, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, -1*E(60)^3, 2+2*E(60)^2-E(60)^6-2*E(60)^8-2*E(60)^10+2*E(60)^14, E(60)^21, E(60)^21, E(60)+E(60)^11, -1*E(60)^3, -1*E(60)-E(60)^11, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, -2*E(60)^2+E(60)^12, -1+E(60)^4+E(60)^6+2*E(60)^8-E(60)^12-E(60)^14, E(60)^3-2*E(60)^13, -1*E(60)^9, 2*E(60)^2-E(60)^12, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, -1*E(60)^3+2*E(60)^13, E(60)^3-2*E(60)^13, -1*E(60)-E(60)^11, -2-2*E(60)^2+E(60)^6+2*E(60)^8+2*E(60)^10-2*E(60)^14, -1*E(60)^3, E(60)^4+E(60)^14, -1*E(60)^4-E(60)^14], [2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, -1, 2*E(60)^15, 2*E(60)^15, -2*E(60)^15, 2*E(60)^15, -2*E(60)^15, -2*E(60)^15, 2*E(60)^15, -2*E(60)^15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(60)^18, 2*E(60)^12, -2*E(60)^6, 2*E(60)^24, 1, 1, 1, -1, -1, -1, 1, -2*E(60)^12, -2*E(60)^6, -2*E(60)^12, 2*E(60)^6, 2*E(60)^24, 2*E(60)^18, -2*E(60)^12, 2*E(60)^6, -2*E(60)^6, -2*E(60)^24, -2*E(60)^24, -2*E(60)^12, 2*E(60)^18, -2*E(60)^18, 2*E(60)^6, 2*E(60)^18, -2*E(60)^6, -2*E(60)^24, 2*E(60)^12, 2*E(60)^18, 2*E(60)^12, -2*E(60)^24, 2*E(60)^24, -2*E(60)^18, 2*E(60)^6, 2*E(60)^24, -2*E(60)^18, 2*E(60)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)^15, E(60)^5+E(60)^-5, -1*E(60)^5-E(60)^-5, -1*E(60)^15, E(60)^5+E(60)^-5, -1*E(60)^15, E(60)^15, -1+2*E(60)^10, E(60)^5+E(60)^-5, -1*E(60)^5-E(60)^-5, -1*E(60)^15, E(60)^15, -1+2*E(60)^10, -1+2*E(60)^10, 1-2*E(60)^10, 1-2*E(60)^10, E(60)^15, -1+2*E(60)^10, -1*E(60)^15, 1-2*E(60)^10, 1-2*E(60)^10, -1*E(60)^5-E(60)^-5, E(60)^5+E(60)^-5, -1*E(60)^5-E(60)^-5, E(60)^6, -1*E(60)^24, -1*E(60)^12, E(60)^18, 2*E(60)^21, 2*E(60)^3, 2*E(60)^3, -2*E(60)^3, -2*E(60)^27, -2*E(60)^21, -2*E(60)^21, -2*E(60)^27, 2*E(60)^27, -2*E(60)^9, 2*E(60)^3, 2*E(60)^27, -2*E(60)^9, -2*E(60)^21, -2*E(60)^9, -2*E(60)^27, -2*E(60)^9, 2*E(60)^3, -2*E(60)^3, 2*E(60)^21, -2*E(60)^27, -2*E(60)^21, 2*E(60)^9, -2*E(60)^3, 2*E(60)^27, 2*E(60)^21, 2*E(60)^27, 2*E(60)^9, -2*E(60)^3, 2*E(60)^21, 2*E(60)^9, 2*E(60)^9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)^18, -1*E(60)^24, -1*E(60)^24, -1*E(60)^18, E(60)^24, -1*E(60)^18, E(60)^18, E(60)^12, E(60)^18, E(60)^12, E(60)^6, -1*E(60)^6, E(60)^6, E(60)^24, -1*E(60)^18, E(60)^12, -1*E(60)^12, -1*E(60)^24, -1*E(60)^6, -1*E(60)^6, E(60)^24, -1*E(60)^6, E(60)^6, E(60)^24, -1*E(60)^18, E(60)^12, -1*E(60)^12, -1*E(60)^12, E(60)+E(60)^11, E(60)^9, -1*E(60)^9, -1*E(60)^9, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, E(60)^21, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, -1*E(60)^4-E(60)^14, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, E(60)^4+E(60)^14, 1-E(60)^4-E(60)^6-2*E(60)^8+E(60)^12+E(60)^14, E(60)^3-2*E(60)^13, E(60)^4+E(60)^14, E(60)^27, E(60)^3, -1+E(60)^4+E(60)^6+2*E(60)^8-E(60)^12-E(60)^14, E(60)^4+E(60)^14, 2+2*E(60)^2-E(60)^6-2*E(60)^8-2*E(60)^10+2*E(60)^14, -1*E(60)-E(60)^11, -1*E(60)^27, 2*E(60)^2-E(60)^12, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, E(60)^21, E(60)+E(60)^11, E(60)^21, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, -1*E(60)^21, -1*E(60)^3+2*E(60)^13, 2*E(60)^2-E(60)^12, E(60)^3, -1*E(60)^3, E(60)^9, -1*E(60)^4-E(60)^14, E(60)^3-2*E(60)^13, -1*E(60)^3, -1*E(60)^3, E(60)+E(60)^11, -1*E(60)-E(60)^11, -2-2*E(60)^2+E(60)^6+2*E(60)^8+2*E(60)^10-2*E(60)^14, -1*E(60)^21, 1-E(60)^4-E(60)^6-2*E(60)^8+E(60)^12+E(60)^14, -1+E(60)^4+E(60)^6+2*E(60)^8-E(60)^12-E(60)^14, -1*E(60)-E(60)^11, -1*E(60)^27, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, E(60)^3, E(60)^3-2*E(60)^13, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, -2*E(60)^2+E(60)^12, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, -2*E(60)^2+E(60)^12, -1*E(60)^21, E(60)^9, -1*E(60)^3, -1*E(60)^4-E(60)^14, 2*E(60)^2-E(60)^12, E(60)^3-2*E(60)^13, -1*E(60)^27, -1*E(60)^3+2*E(60)^13, -1+E(60)^4+E(60)^6+2*E(60)^8-E(60)^12-E(60)^14, 2+2*E(60)^2-E(60)^6-2*E(60)^8-2*E(60)^10+2*E(60)^14, -1*E(60)^21, -2-2*E(60)^2+E(60)^6+2*E(60)^8+2*E(60)^10-2*E(60)^14, 2+2*E(60)^2-E(60)^6-2*E(60)^8-2*E(60)^10+2*E(60)^14, E(60)^3, E(60)+E(60)^11, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, -2*E(60)^2+E(60)^12, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, 1-E(60)^4-E(60)^6-2*E(60)^8+E(60)^12+E(60)^14, E(60)^9, -2*E(60)^2+E(60)^12, -2-2*E(60)^2+E(60)^6+2*E(60)^8+2*E(60)^10-2*E(60)^14, -1*E(60)^27, -1*E(60)^3+2*E(60)^13, E(60)^27, E(60)^4+E(60)^14, -1*E(60)^9, -1*E(60)^9, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, E(60)^27, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, -1*E(60)^3+2*E(60)^13, 1-E(60)^4-E(60)^6-2*E(60)^8+E(60)^12+E(60)^14, 2*E(60)^2-E(60)^12, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, E(60)^21, -1+E(60)^4+E(60)^6+2*E(60)^8-E(60)^12-E(60)^14, -1*E(60)-E(60)^11, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, -1*E(60)^4-E(60)^14, E(60)^27, 2+2*E(60)^2-E(60)^6-2*E(60)^8-2*E(60)^10+2*E(60)^14, -2-2*E(60)^2+E(60)^6+2*E(60)^8+2*E(60)^10-2*E(60)^14]]; ConvertToLibraryCharacterTableNC(chartbl_960_10052);