# Group 2000.957 downloaded from the LMFDB on 15 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(422494996277553603030236206367539,2000); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.6; GPerm := Group( (1,2)(3,7)(4,6)(5,10)(8,9)(16,17)(18,19), (1,2)(3,5)(4,9)(6,8)(7,10)(16,18)(17,19), (16,19)(17,18), (16,18)(17,19), (11,12,13,14,15), (1,3,4,8,10)(2,5,9,6,7), (1,4,10,3,8)(2,6,5,7,9) ); GLZN := Group([[[ZmodnZObj(16,55), ZmodnZObj(0,55)], [ZmodnZObj(0,55), ZmodnZObj(16,55)]],[[ZmodnZObj(16,55), ZmodnZObj(0,55)], [ZmodnZObj(0,55), ZmodnZObj(1,55)]],[[ZmodnZObj(1,55), ZmodnZObj(11,55)], [ZmodnZObj(0,55), ZmodnZObj(1,55)]],[[ZmodnZObj(34,55), ZmodnZObj(0,55)], [ZmodnZObj(0,55), ZmodnZObj(1,55)]],[[ZmodnZObj(21,55), ZmodnZObj(0,55)], [ZmodnZObj(0,55), ZmodnZObj(21,55)]],[[ZmodnZObj(44,55), ZmodnZObj(20,55)], [ZmodnZObj(5,55), ZmodnZObj(44,55)]],[[ZmodnZObj(34,55), ZmodnZObj(0,55)], [ZmodnZObj(0,55), ZmodnZObj(34,55)]]]); # Booleans booleans_2000_957 := rec( Agroup := true, 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_2000_957:=rec(); chartbl_2000_957.IsFinite:= true; chartbl_2000_957.UnderlyingCharacteristic:= 0; chartbl_2000_957.UnderlyingGroup:= GPC; chartbl_2000_957.Size:= 2000; chartbl_2000_957.InfoText:= "Character table for group 2000.957 downloaded from the LMFDB."; chartbl_2000_957.Identifier:= " C5*D10^2 "; chartbl_2000_957.NrConjugacyClasses:= 320; chartbl_2000_957.ConjugacyClasses:= [ of ..., f1, f6*f7^2, f1*f6*f7^2, f2*f3^2, f1*f2*f3^2, f4*f5^2, f2*f3^2*f6*f7^2, f4*f5^2*f6, f1*f4*f5^2, f1*f2*f3^2*f6*f7^2, f1*f4*f5^2*f6, f2*f3^2*f4, f2*f3^2*f4*f6, f1*f2*f3^2*f4, f1*f2*f3^2*f4*f6, f3^2, f3^3, f3^4, f3, f7, f7^2, f5^2, f5^4, f3^2*f7, f3^3*f7^4, f3^4*f7^2, f3*f7^3, f3^4*f7, f3*f7^4, f3^3*f7^2, f3^2*f7^3, f3^2*f5^2, f3^3*f5^3, f3^4*f5^4, f3*f5, f3^2*f5^4, f3^3*f5, f3^4*f5^3, f3*f5^2, f5^2*f7, f5^4*f7^2, f5^4*f7, f5^3*f7^2, f3^2*f5^2*f7, f3^3*f5^3*f7^4, f3^4*f5^4*f7^2, f3*f5*f7^3, f3^2*f5^4*f7, f3^3*f5*f7^4, f3^4*f5^3*f7^2, f3*f5^2*f7^3, f3^4*f5^2*f7, f3*f5^3*f7^4, f3^3*f5^4*f7^2, f3^2*f5*f7^3, f3^4*f5^4*f7, f3*f5*f7^4, f3^3*f5^3*f7^2, f3^2*f5^2*f7^3, f1*f3, f1*f3^4, f1*f3^3, f1*f3^2, f3*f6*f7^2, f3^4*f6*f7^2, f3^3*f6*f7^2, f3^2*f6*f7^2, f1*f3*f6*f7^2, f1*f3^4*f6*f7^2, f1*f3^3*f6*f7^2, f1*f3^2*f6*f7^2, f6, f6*f7, f1*f7, f1*f7^2, f1*f6, f1*f6*f7, f1*f5, f1*f5^2, f5*f6*f7^2, f5^2*f6*f7^2, f1*f5*f6*f7^2, f1*f5^2*f6*f7^2, f3*f6, f3^4*f6, f3^3*f6*f7, f3^2*f6*f7, f3^2*f6, f3^3*f6, f3*f6*f7, f3^4*f6*f7, f1*f3*f7, f1*f3^4*f7, f1*f3^3*f7^2, f1*f3^2*f7^2, f1*f3*f6, f1*f3^4*f6, f1*f3^3*f6*f7, f1*f3^2*f6*f7, f1*f3*f5, f1*f3^4*f5, f1*f3^3*f5^2, f1*f3^2*f5^2, f1*f3*f7^2, f1*f3^4*f7^2, f1*f3^3*f7, f1*f3^2*f7, f1*f3*f5^2, f1*f3^4*f5^2, f1*f3^3*f5, f1*f3^2*f5, f1*f3^2*f6, f1*f3^3*f6, f1*f3*f6*f7, f1*f3^4*f6*f7, f3*f5*f6*f7^2, f3^4*f5*f6*f7^2, f3^3*f5^2*f6*f7^2, f3^2*f5^2*f6*f7^2, f3*f5^2*f6*f7^2, f3^4*f5^2*f6*f7^2, f3^3*f5*f6*f7^2, f3^2*f5*f6*f7^2, f1*f3*f5*f6*f7^2, f1*f3^4*f5*f6*f7^2, f1*f3^3*f5^2*f6*f7^2, f1*f3^2*f5^2*f6*f7^2, f1*f3*f5^2*f6*f7^2, f1*f3^4*f5^2*f6*f7^2, f1*f3^3*f5*f6*f7^2, f1*f3^2*f5*f6*f7^2, f5*f6, f5^2*f6*f7, f5^2*f6, f5*f6*f7, f1*f5*f7, f1*f5^2*f7^2, f1*f5*f6, f1*f5^2*f6*f7, f1*f5*f7^2, f1*f5^2*f7, f1*f5^2*f6, f1*f5*f6*f7, f3*f5*f6, f3^4*f5*f6, f3^3*f5^2*f6*f7, f3^2*f5^2*f6*f7, f3*f5^2*f6, f3^4*f5^2*f6, f3^3*f5*f6*f7, f3^2*f5*f6*f7, f3^2*f5*f6, f3^3*f5*f6, f3*f5^2*f6*f7, f3^4*f5^2*f6*f7, f3^2*f5^2*f6, f3^3*f5^2*f6, f3*f5*f6*f7, f3^4*f5*f6*f7, f1*f3*f5*f7, f1*f3^4*f5*f7, f1*f3^3*f5^2*f7^2, f1*f3^2*f5^2*f7^2, f1*f3*f5*f6, f1*f3^4*f5*f6, f1*f3^3*f5^2*f6*f7, f1*f3^2*f5^2*f6*f7, f1*f3*f5*f7^2, f1*f3^4*f5*f7^2, f1*f3^3*f5^2*f7, f1*f3^2*f5^2*f7, f1*f3*f5^2*f7, f1*f3^4*f5^2*f7, f1*f3^3*f5*f7^2, f1*f3^2*f5*f7^2, f1*f3*f5^2*f6, f1*f3^4*f5^2*f6, f1*f3^3*f5*f6*f7, f1*f3^2*f5*f6*f7, f1*f3^2*f5*f7, f1*f3^3*f5*f7, f1*f3*f5^2*f7^2, f1*f3^4*f5^2*f7^2, f1*f3^2*f5*f6, f1*f3^3*f5*f6, f1*f3*f5^2*f6*f7, f1*f3^4*f5^2*f6*f7, f1*f3^2*f5^2*f6, f1*f3^3*f5^2*f6, f1*f3*f5*f6*f7, f1*f3^4*f5*f6*f7, f2, f2*f3^4, f2*f3, f2*f3^3, f1*f2, f1*f2*f3^4, f1*f2*f3, f1*f2*f3^3, f3*f4*f5^2, f3^4*f4*f5^2, f3^3*f4*f5^2, f3^2*f4*f5^2, f2*f6*f7^2, f2*f3^4*f6*f7^2, f2*f3*f6*f7^2, f2*f3^3*f6*f7^2, f3*f4*f5^2*f6, f3^4*f4*f5^2*f6, f3^3*f4*f5^2*f6, f3^2*f4*f5^2*f6, f1*f3*f4*f5^2, f1*f3^4*f4*f5^2, f1*f3^3*f4*f5^2, f1*f3^2*f4*f5^2, f1*f2*f6*f7^2, f1*f2*f3^4*f6*f7^2, f1*f2*f3*f6*f7^2, f1*f2*f3^3*f6*f7^2, f1*f3*f4*f5^2*f6, f1*f3^4*f4*f5^2*f6, f1*f3^3*f4*f5^2*f6, f1*f3^2*f4*f5^2*f6, f4, f4*f5, f4*f6, f4*f5*f6, f1*f4, f1*f4*f5, f1*f4*f6, f1*f4*f5*f6, f2*f3^2*f7, f2*f3^2*f7^2, f2*f3^2*f6, f2*f3^2*f6*f7, f1*f2*f3^2*f7, f1*f2*f3^2*f7^2, f1*f2*f3^2*f6, f1*f2*f3^2*f6*f7, f3*f4, f3^4*f4, f3^3*f4*f5, f3^2*f4*f5, f2*f7, f2*f3^4*f7, f2*f3*f7^2, f2*f3^3*f7^2, f2*f6, f2*f3^4*f6, f2*f3*f6*f7, f2*f3^3*f6*f7, f3^2*f4, f3^3*f4, f3*f4*f5, f3^4*f4*f5, f2*f7^2, f2*f3^4*f7^2, f2*f3*f7, f2*f3^3*f7, f3*f4*f6, f3^4*f4*f6, f3^3*f4*f5*f6, f3^2*f4*f5*f6, f2*f6*f7, f2*f3^4*f6*f7, f2*f3*f6, f2*f3^3*f6, f1*f3*f4, f1*f3^4*f4, f1*f3^3*f4*f5, f1*f3^2*f4*f5, f1*f2*f7, f1*f2*f3^4*f7, f1*f2*f3*f7^2, f1*f2*f3^3*f7^2, f1*f2*f6, f1*f2*f3^4*f6, f1*f2*f3*f6*f7, f1*f2*f3^3*f6*f7, f3^2*f4*f6, f3^3*f4*f6, f3*f4*f5*f6, f3^4*f4*f5*f6, f1*f3^2*f4, f1*f3^3*f4, f1*f3*f4*f5, f1*f3^4*f4*f5, f1*f2*f7^2, f1*f2*f3^4*f7^2, f1*f2*f3*f7, f1*f2*f3^3*f7, f1*f3*f4*f6, f1*f3^4*f4*f6, f1*f3^3*f4*f5*f6, f1*f3^2*f4*f5*f6, f1*f2*f6*f7, f1*f2*f3^4*f6*f7, f1*f2*f3*f6, f1*f2*f3^3*f6, f1*f3^2*f4*f6, f1*f3^3*f4*f6, f1*f3*f4*f5*f6, f1*f3^4*f4*f5*f6, f2*f4, f2*f3^4*f4, f2*f3*f4, f2*f3^3*f4, f2*f4*f6, f2*f3^4*f4*f6, f2*f3*f4*f6, f2*f3^3*f4*f6, f1*f2*f4, f1*f2*f3^4*f4, f1*f2*f3*f4, f1*f2*f3^3*f4, f1*f2*f4*f6, f1*f2*f3^4*f4*f6, f1*f2*f3*f4*f6, f1*f2*f3^3*f4*f6]; chartbl_2000_957.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]; chartbl_2000_957.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 20, 18, 17, 22, 21, 24, 23, 27, 28, 26, 25, 31, 32, 30, 29, 35, 36, 34, 33, 39, 40, 38, 37, 42, 41, 44, 43, 47, 48, 46, 45, 51, 52, 50, 49, 55, 56, 54, 53, 59, 60, 58, 57, 17, 18, 20, 19, 17, 18, 20, 19, 17, 18, 20, 19, 21, 22, 22, 21, 21, 22, 23, 24, 23, 24, 23, 24, 25, 26, 28, 27, 29, 30, 32, 31, 32, 31, 30, 29, 25, 26, 28, 27, 33, 34, 36, 35, 25, 26, 28, 27, 37, 38, 40, 39, 29, 30, 32, 31, 33, 34, 36, 35, 37, 38, 40, 39, 33, 34, 36, 35, 37, 38, 40, 39, 41, 42, 43, 44, 44, 43, 41, 42, 41, 42, 43, 44, 45, 46, 48, 47, 49, 50, 52, 51, 53, 54, 56, 55, 57, 58, 60, 59, 60, 59, 58, 57, 45, 46, 48, 47, 45, 46, 48, 47, 56, 55, 54, 53, 49, 50, 52, 51, 51, 52, 49, 50, 53, 54, 56, 55, 57, 58, 60, 59, 20, 19, 18, 17, 20, 19, 18, 17, 17, 18, 20, 19, 20, 19, 18, 17, 17, 18, 20, 19, 17, 18, 20, 19, 20, 19, 18, 17, 17, 18, 20, 19, 24, 23, 24, 23, 24, 23, 24, 23, 22, 21, 21, 22, 22, 21, 21, 22, 37, 38, 40, 39, 28, 27, 26, 25, 30, 29, 31, 32, 35, 36, 33, 34, 30, 29, 31, 32, 37, 38, 40, 39, 28, 27, 26, 25, 37, 38, 40, 39, 28, 27, 26, 25, 30, 29, 31, 32, 35, 36, 33, 34, 35, 36, 33, 34, 30, 29, 31, 32, 37, 38, 40, 39, 28, 27, 26, 25, 35, 36, 33, 34, 20, 19, 18, 17, 20, 19, 18, 17, 20, 19, 18, 17, 20, 19, 18, 17], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 4, 4, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 7, 7, 9, 9, 10, 10, 12, 12, 5, 5, 8, 8, 6, 6, 11, 11, 7, 7, 7, 7, 5, 5, 5, 5, 8, 8, 8, 8, 7, 7, 7, 7, 5, 5, 5, 5, 9, 9, 9, 9, 8, 8, 8, 8, 10, 10, 10, 10, 6, 6, 6, 6, 11, 11, 11, 11, 9, 9, 9, 9, 10, 10, 10, 10, 6, 6, 6, 6, 12, 12, 12, 12, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16]]; chartbl_2000_957.SizesCentralizers:= [2000, 2000, 2000, 2000, 400, 400, 400, 400, 400, 400, 400, 400, 80, 80, 80, 80, 2000, 2000, 2000, 2000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 500, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80]; chartbl_2000_957.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "2L", "2M", "2N", "2O", "5A1", "5A-1", "5A2", "5A-2", "5B1", "5B2", "5C1", "5C2", "5D1", "5D-1", "5D2", "5D-2", "5E1", "5E-1", "5E2", "5E-2", "5F1", "5F-1", "5F2", "5F-2", "5G1", "5G-1", "5G2", "5G-2", "5H1", "5H2", "5I1", "5I2", "5J1", "5J-1", "5J2", "5J-2", "5K1", "5K-1", "5K2", "5K-2", "5L1", "5L-1", "5L2", "5L-2", "5M1", "5M-1", "5M2", "5M-2", "10A1", 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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], [4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^-1, 4*E(5), 4*E(5)^2, 4*E(5)^-2, 2+2*E(5), 2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^2, -2-2*E(5)-2*E(5)^2, 2+2*E(5), 2*E(5)+2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2-2*E(5)-2*E(5)^-2, -2-2*E(5)-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-1, 2+2*E(5)^-1, 2*E(5)+2*E(5)^-2, 2+2*E(5)^2, 2*E(5)+2*E(5)^-2, 2+2*E(5)^2, -2-2*E(5)-2*E(5)^2, -1, 1-E(5)^2-E(5)^-2, -1*E(5)^2, 2+E(5)^2+E(5)^-2, -1-2*E(5)-2*E(5)^2-E(5)^-2, 1+2*E(5)+E(5)^2, -1*E(5)^-1, E(5)+2*E(5)^2+E(5)^-2, -1, -1+E(5)-E(5)^2, -1-E(5)+E(5)^-2, -2-E(5)-E(5)^2-2*E(5)^-2, -1*E(5)+E(5)^2-E(5)^-2, -1*E(5)^-2, -1*E(5), -1*E(5), -1*E(5)^-2, -1*E(5)^2, 1+E(5)+2*E(5)^-2, -1*E(5)^-1, -4*E(5)^2, -4*E(5), -4*E(5)^-1, 4*E(5)^2, -4*E(5)^-1, -4*E(5), -4*E(5)^2, 4*E(5), -4*E(5)^-2, -4*E(5)^-2, 4*E(5)^-1, 4*E(5)^-2, -2*E(5)-2*E(5)^-2, -2-2*E(5)^-2, 2*E(5)+2*E(5)^2, -2*E(5)-2*E(5)^2, -2-2*E(5)^2, -2*E(5)-2*E(5)^-2, 2+2*E(5)+2*E(5)^-2, -2-2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2+2*E(5)+2*E(5)^2, 2+2*E(5)^-1, 2+2*E(5)^2, 2+2*E(5), -2-2*E(5)^2, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^2, -2-2*E(5)^2, 2+2*E(5)+2*E(5)^2, -2-2*E(5)-2*E(5)^2, -2*E(5)-2*E(5)^-2, 2+2*E(5)+2*E(5)^2, -2-2*E(5), 2+2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 2+2*E(5)+2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2-2*E(5), -2-2*E(5)^-2, 2+2*E(5)^-2, 2*E(5)+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2+2*E(5)+2*E(5)^2, 2+2*E(5)+2*E(5)^-2, 2+2*E(5)^2, -2-2*E(5)-2*E(5)^-2, -2-2*E(5)^-2, -2-2*E(5)^-1, 2+2*E(5)^-2, 2+2*E(5)+2*E(5)^-2, -2*E(5)-2*E(5)^2, -2-2*E(5)^-1, -2-2*E(5)^2, -2-2*E(5), -2-2*E(5)^-1, -2*E(5)-2*E(5)^-2, -2*E(5)-2*E(5)^2, 2+2*E(5), -2-2*E(5), -2-2*E(5)-2*E(5)^-2, -2*E(5)-2*E(5)^2, -2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, E(5)^-1, 1, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, 1, -1+E(5)-E(5)^2, -1*E(5), E(5)^-2, E(5), 1-E(5)^2-E(5)^-2, E(5)^-2, -1+E(5)^2+E(5)^-2, E(5)^-1, -1, -1-2*E(5)-E(5)^2, 1, 1+E(5)-E(5)^-2, -1*E(5), 2+E(5)^2+E(5)^-2, 1+2*E(5)+E(5)^2, E(5), -1*E(5)-2*E(5)^2-E(5)^-2, E(5)^2, -2-E(5)-E(5)^2-2*E(5)^-2, E(5)^2, -1*E(5)+E(5)^2-E(5)^-2, 1+E(5)+2*E(5)^-2, E(5)^-1, -1*E(5)^-1, 1, E(5), -1*E(5)-2*E(5)^2-E(5)^-2, -2-E(5)^2-E(5)^-2, 1+E(5)-E(5)^-2, 2+E(5)+E(5)^2+2*E(5)^-2, E(5)^-2, E(5)^-2, -1, 1-E(5)+E(5)^2, -1*E(5)^2, E(5)-E(5)^2+E(5)^-2, 1+2*E(5)+2*E(5)^2+E(5)^-2, E(5)^2, -1-E(5)-2*E(5)^-2, -1-2*E(5)-E(5)^2, -1*E(5)^-2, E(5)^2, -1-2*E(5)-2*E(5)^2-E(5)^-2, -1*E(5)^-2, 1+2*E(5)+2*E(5)^2+E(5)^-2, E(5), -1*E(5)^-1, -1*E(5)^2, 1-E(5)+E(5)^2, E(5)^-1, E(5)+2*E(5)^2+E(5)^-2, 2+E(5)+E(5)^2+2*E(5)^-2, E(5)-E(5)^2+E(5)^-2, -1-E(5)-2*E(5)^-2, -1-E(5)+E(5)^-2, 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, 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], [4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5), 4*E(5)^-1, 4*E(5)^-2, 4*E(5)^2, 2+2*E(5)^-1, 2+2*E(5)^2, 2*E(5)^2+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^2, 2+2*E(5)^-1, -2-2*E(5)-2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2+2*E(5), 2+2*E(5), -2-2*E(5)-2*E(5)^-2, 2+2*E(5)^-2, -2-2*E(5)-2*E(5)^-2, 2+2*E(5)^-2, 2*E(5)+2*E(5)^2, -1, 1-E(5)^2-E(5)^-2, -1*E(5)^-2, 2+E(5)^2+E(5)^-2, 1+2*E(5)+E(5)^2, -1-2*E(5)-2*E(5)^2-E(5)^-2, -1*E(5), -1-E(5)+E(5)^-2, -1, -2-E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2+E(5)^-2, -1+E(5)-E(5)^2, 1+E(5)+2*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)+E(5)^2-E(5)^-2, -1*E(5), -4*E(5)^-2, -4*E(5)^-1, -4*E(5), 4*E(5)^-2, -4*E(5), -4*E(5)^-1, -4*E(5)^-2, 4*E(5)^-1, -4*E(5)^2, -4*E(5)^2, 4*E(5), 4*E(5)^2, 2+2*E(5)+2*E(5)^-2, -2-2*E(5)^2, -2-2*E(5)-2*E(5)^2, 2+2*E(5)+2*E(5)^2, -2-2*E(5)^-2, 2+2*E(5)+2*E(5)^-2, -2*E(5)-2*E(5)^-2, -2-2*E(5), 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^2, 2+2*E(5), 2+2*E(5)^-2, 2+2*E(5)^-1, -2-2*E(5)^-2, -2-2*E(5)-2*E(5)^-2, -2-2*E(5)-2*E(5)^2, -2-2*E(5)^-2, -2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^2, 2+2*E(5)+2*E(5)^-2, -2*E(5)-2*E(5)^2, -2-2*E(5)^-1, 2+2*E(5), -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2-2*E(5)^-1, -2-2*E(5)^2, 2+2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2*E(5)+2*E(5)^2, -2*E(5)-2*E(5)^2, -2*E(5)-2*E(5)^-2, 2+2*E(5)^-2, 2*E(5)+2*E(5)^-2, -2-2*E(5)^2, -2-2*E(5), 2+2*E(5)^2, -2*E(5)-2*E(5)^-2, 2+2*E(5)+2*E(5)^2, -2-2*E(5), -2-2*E(5)^-2, -2-2*E(5)^-1, -2-2*E(5), 2+2*E(5)+2*E(5)^-2, 2+2*E(5)+2*E(5)^2, 2+2*E(5)^-1, -2-2*E(5)^-1, 2*E(5)+2*E(5)^-2, 2+2*E(5)+2*E(5)^2, -2-2*E(5)^2, -2*E(5)-2*E(5)^-1, E(5), 1, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, 1, -2-E(5)-E(5)^2-2*E(5)^-2, -1*E(5)^-1, E(5)^2, E(5)^-1, 1-E(5)^2-E(5)^-2, E(5)^2, -1+E(5)^2+E(5)^-2, E(5), -1, 1+2*E(5)+2*E(5)^2+E(5)^-2, 1, -1*E(5)-2*E(5)^2-E(5)^-2, -1*E(5)^-1, 2+E(5)^2+E(5)^-2, -1-2*E(5)-2*E(5)^2-E(5)^-2, E(5)^-1, 1+E(5)-E(5)^-2, E(5)^-2, -1+E(5)-E(5)^2, E(5)^-2, 1+E(5)+2*E(5)^-2, -1*E(5)+E(5)^2-E(5)^-2, E(5), -1*E(5), 1, E(5)^-1, 1+E(5)-E(5)^-2, -2-E(5)^2-E(5)^-2, -1*E(5)-2*E(5)^2-E(5)^-2, 1-E(5)+E(5)^2, E(5)^2, E(5)^2, -1, 2+E(5)+E(5)^2+2*E(5)^-2, -1*E(5)^-2, -1-E(5)-2*E(5)^-2, -1-2*E(5)-E(5)^2, E(5)^-2, E(5)-E(5)^2+E(5)^-2, 1+2*E(5)+2*E(5)^2+E(5)^-2, -1*E(5)^2, E(5)^-2, 1+2*E(5)+E(5)^2, -1*E(5)^2, -1-2*E(5)-E(5)^2, E(5)^-1, -1*E(5), -1*E(5)^-2, 2+E(5)+E(5)^2+2*E(5)^-2, E(5), -1-E(5)+E(5)^-2, 1-E(5)+E(5)^2, -1-E(5)-2*E(5)^-2, E(5)-E(5)^2+E(5)^-2, E(5)+2*E(5)^2+E(5)^-2, 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, 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]]; ConvertToLibraryCharacterTableNC(chartbl_2000_957);