/* Group 1889568.pf downloaded from the LMFDB on 18 July 2026. */ /* 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 chartbl_n_i where n is the order of the group and i is which group of that order it is. Conjugacy classes are stored in the variable 'C' with elements from the group 'G'. */ /* Constructions */ GPC := PCGroup([15, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 10497600, 10722541, 76, 72744842, 7085912, 87212883, 43537698, 13089813, 52965904, 4726369, 16362709, 1624, 364, 128362325, 73611200, 14017895, 1400, 605, 260, 76492086, 32742381, 2725416, 69127, 97027222, 48504997, 14506612, 98947, 49042, 577, 189190088, 23988983, 33242438, 16271333, 5339588, 1356023, 1718, 777609, 21319224, 34182039, 676854, 5953269, 52884, 1463499, 365964, 122079, 125310250, 113382745, 51036520, 20841535, 1597270, 2680345, 178300, 405520, 242185, 5095, 260340491, 134317466, 34058921, 712856, 237671, 3503606, 933221, 452096, 296591, 98966, 16901, 259290732, 68234427, 64822722, 191782093, 88482268, 7529803, 357898, 2120233, 3710368, 1735123, 663508, 221263, 28498, 43633, 3328, 283435214]); a,b,c,d,e,f,g,h,i,j,k,l,m := Explode([GPC.1, GPC.2, GPC.4, GPC.5, GPC.6, GPC.8, GPC.9, GPC.10, GPC.11, GPC.12, GPC.13, GPC.14, GPC.15]); AssignNames(~GPC, ["a", "b", "b2", "c", "d", "e", "e2", "f", "g", "h", "i", "j", "k", "l", "m"]); GPerm := PermutationGroup< 81 | (1,65)(3,49)(4,68)(5,30)(7,21)(8,74)(9,22)(11,77)(12,61)(13,80)(14,63)(16,27)(20,45)(23,35)(24,75)(28,57)(29,42)(31,44)(37,69)(38,52)(39,72)(40,55)(43,58)(47,64)(50,67)(53,70)(62,79), (1,70,58)(2,71,59)(3,72,12)(4,22,13)(5,75,63)(6,76,15)(7,77,16)(8,79,67)(9,80,68)(10,81,19)(11,27,21)(14,30,24)(17,33,25)(18,34,26)(20,37,28)(23,40,31)(29,47,38)(32,51,41)(35,55,44)(36,56,46)(39,61,49)(42,64,52)(43,65,53)(45,69,57)(48,73,60)(50,74,62)(54,78,66), (1,58,70)(3,72,12)(4,13,22)(5,75,63)(6,15,76)(9,68,80)(10,81,19)(14,30,24)(18,26,34)(20,37,28)(23,31,40)(32,51,41)(35,44,55)(39,61,49)(43,53,65)(45,69,57)(48,60,73)(54,78,66), (1,70,58)(3,12,72)(4,22,13)(6,15,76)(7,77,16)(8,67,79)(10,81,19)(11,21,27)(14,24,30)(18,26,34)(29,47,38)(32,51,41)(35,55,44)(42,52,64)(45,57,69)(48,60,73)(50,74,62)(54,78,66), (3,24)(4,35)(5,37)(6,60)(7,62)(9,65)(11,42)(12,30)(13,44)(14,72)(15,73)(16,74)(17,36)(20,63)(21,52)(22,55)(25,46)(27,64)(28,75)(32,54)(33,56)(41,66)(43,68)(48,76)(50,77)(51,78)(53,80), (1,55,22)(2,56,33)(3,57,24)(4,58,35)(5,61,37)(6,60,26)(7,62,38)(8,64,27)(9,65,40)(10,66,41)(11,67,42)(12,69,30)(13,70,44)(14,72,45)(15,73,34)(16,74,47)(17,59,36)(18,76,48)(19,78,51)(20,63,39)(21,79,52)(23,68,43)(25,71,46)(28,75,49)(29,77,50)(31,80,53)(32,81,54), (1,74,66,58,50,78,70,62,54)(2,75,68,59,5,80,71,63,9)(3,76,67,12,6,79,72,15,8)(4,77,19,13,7,81,22,16,10)(11,30,26,21,14,34,27,24,18)(17,37,31,25,20,40,33,28,23)(29,51,44,38,32,55,47,41,35)(36,61,53,46,39,65,56,49,43)(42,69,60,52,45,73,64,57,48), (1,15,65)(2,16,27)(3,49,66)(4,18,68)(5,19,30)(6,53,70)(7,21,71)(8,56,74)(9,22,34)(10,24,75)(11,59,77)(12,61,78)(13,26,80)(14,63,81)(17,29,42)(20,32,45)(23,35,48)(25,38,52)(28,41,57)(31,44,60)(33,47,64)(36,50,67)(37,51,69)(39,54,72)(40,55,73)(43,58,76)(46,62,79), (1,54,70,66,58,78)(3,76,12,15,72,6)(4,19,22,81,13,10)(5,9,63,80,75,68)(7,77)(11,21)(14,26,24,18,30,34)(17,25)(20,31,28,23,37,40)(29,38)(32,44,41,35,51,55)(36,46)(39,53,49,43,61,65)(42,52)(45,60,57,48,69,73)(50,62)(59,71)(67,79), (3,75)(4,48)(5,12)(8,47)(9,55)(10,49)(13,60)(14,54)(17,50)(18,23)(19,61)(22,73)(24,66)(25,62)(26,31)(29,67)(30,78)(33,74)(34,40)(35,68)(36,42)(38,79)(39,81)(44,80)(46,52)(56,64)(63,72), (1,70,58)(3,72,12)(6,76,15)(8,79,67)(17,25,33)(20,28,37)(23,31,40)(29,38,47)(32,41,51)(35,44,55)(36,56,46)(39,61,49)(42,52,64)(43,65,53)(45,57,69)(48,60,73)(50,74,62)(54,78,66) >; /* Booleans */ RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable : BoolElt >; booleans_1889568_pf := rec< RF | Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := false>; /* Character Table */ G:= GPC; C := SequenceToConjugacyClasses([car |< 1, 1, Id(G)>,< 2, 81, a*e^2*g*h^2*j^2*l^2*m>,< 2, 324, b^3*m>,< 2, 729, a*k*m>,< 2, 729, e^2*f*g^2*h^2*i*j*l*m>,< 2, 2916, a*b^5*c^2*e^2*g^2*h*i*j*k^2*l^2*m^2>,< 3, 2, m^2>,< 3, 3, k*m>,< 3, 3, k^2*m^2>,< 3, 24, h*i*j*k>,< 3, 24, g*h^2*i*j*k^2*l^2*m>,< 3, 24, g^2*h*i^2*j^2*l*m>,< 3, 72, f^2*g>,< 3, 72, f*g^2*h^2*k*l*m^2>,< 3, 144, f*h*l^2*m^2>,< 3, 144, f^2*g^2*h*i*j^2*k^2*l^2*m>,< 3, 216, c^2*e^3*g*h*i^2*j^2*k^2>,< 3, 432, f^2*g*j^2*l>,< 3, 432, f*g*i*j*k^2*l*m^2>,< 3, 432, f^2*g*h^2*k^2*l*m^2>,< 3, 432, c*d*e*m^2>,< 3, 648, f^2*g*k*l*m>,< 3, 648, f*h*i^2*k^2*l*m^2>,< 3, 648, c^2*d*f^2*g*h*i*l^2*m>,< 3, 648, c*d*e*f*g^2*h^2*i^2*k^2*l*m>,< 3, 864, i*l>,< 3, 1296, f*g*h^2*i*j^2*k*l^2>,< 3, 1296, c^2*d*f*g*h^2*j*k*l^2>,< 3, 1296, f^2*g^2*i^2*j^2*k^2*m>,< 3, 1296, c^2*d*e^3*g^2*h^2*i^2*j^2>,< 3, 1296, c*e*i*j*l>,< 3, 3888, b^2*f*g*h^2*i*j*k^2*l>,< 3, 3888, c^2*e^3*f*g^2*h*i*j*k^2*m>,< 3, 3888, c^2*d*f*g^2*j>,< 3, 7776, c*f*g*h*j*k*m^2>,< 3, 7776, b^2*c*e*f^2*g*h^2*i^2*j^2*l>,< 4, 4374, d*f*h^2*i^2*j^2*k*l*m>,< 4, 39366, a*b^4*d*e^2*h*k*l^2*m>,< 6, 81, a*e^2*g*h^2*j^2*k^2*l^2>,< 6, 81, a*e^2*g*h^2*j^2*k*l^2*m^2>,< 6, 648, b^3*d*f^2*h^2*i*l*m>,< 6, 729, a>,< 6, 729, a*k^2>,< 6, 972, b^3*k>,< 6, 972, b^3*h>,< 6, 1458, e^2*f*g^2*h^2*i*j*l*m^2>,< 6, 1944, b^3*d*f*g^2*h^2*k^2*l>,< 6, 1944, a*b^4*e^2*f^2*g^2*h*i^2*k^2>,< 6, 1944, a*b^4*e^2*f*h^2*i^2*j*k^2*m^2>,< 6, 1944, b^3*c^2*d*e^3*g*i^2*j^2*k*m^2>,< 6, 1944, b^3*c^2*d*e^3*h*i*j*k*l>,< 6, 2187, e^2*f*h*k^2*m>,< 6, 2187, e^2*f*h*m>,< 6, 2916, a*b*d*f*g*i*l*m>,< 6, 2916, a*b*d*f*g*i*k*l*m>,< 6, 3888, a*b^4*e^2*f*g^2*h*i^2*j*k^2*l^2*m^2>,< 6, 5832, b^3*f*g^2*h*k*m>,< 6, 5832, a*c*d*j*l^2*m>,< 6, 5832, a*b^2*e^2*f*g^2*h*j^2*k*l^2>,< 6, 5832, c^2*e*f^2*h^2*i*k*l*m>,< 6, 5832, b^3*c^2*d*e*f^2*h*j*l>,< 6, 5832, a*b^4*f^2*h*i*k*l*m^2>,< 6, 5832, a*e^2*f*g^2*h*m>,< 6, 5832, a*b*d*f*g*h*j*m>,< 6, 5832, a*b^4*h^2*i^2*k^2*m>,< 6, 5832, a*b^4*g^2*h^2*j*k^2*l*m^2>,< 6, 5832, a*b*c^2*e^2*f^2*h*i^2*j^2*l>,< 6, 5832, a*b*c^2*e^2*f^2*h^2*k*l*m>,< 6, 5832, a*b^2*c^2*d*e*f*g*i^2*j*m^2>,< 6, 5832, a*b^2*c*e^3*f^2*h*i^2*j*k*l^2*m>,< 6, 11664, b^3*f^2*g^2*h^2*i^2*j^2*k*l^2>,< 6, 11664, b^3*c^2*d*e^3*f^2*g^2*i^2*j*l*m>,< 6, 11664, c^2*d*e^2*g^2*h*i^2*j^2*k^2*l*m>,< 6, 17496, a*c*e*f*g^2*h*l>,< 6, 17496, b^3*c^2*d*e*f^2*g^2*h^2*i*k*l^2*m^2>,< 6, 17496, a*b^5*c*g*h*j^2>,< 6, 17496, a*b^5*e^2*g*i*j^2*k*m^2>,< 6, 17496, a*b^3*d*e^2*f*g^2*h^2*i*l^2>,< 6, 17496, b^3*c*k*l>,< 6, 17496, a*b^5*d*e^2*f^2*g^2*h*i*j*k^2*l^2>,< 6, 17496, a*b^4*c*d*e*f*h*j*k^2*l>,< 6, 17496, a*b^4*c^2*d*f*g^2*i*j>,< 6, 17496, c*d*f^2*g^2*j^2*k^2>,< 6, 17496, c^2*e*f^2*g*h*k^2*m>,< 6, 34992, b*c^2*d*e*g*i^2*j^2*k^2>,< 6, 34992, a*b^5*c^2*e^2*f^2*g*h^2*j^2*k^2>,< 6, 34992, a*b^5*c^2*e^2*g*h*i*j*k*m^2>,< 6, 34992, a*b^2*c*d*e*h^2*k^2*l>,< 6, 34992, a*b^4*c*d*f^2*g^2*h*i*j^2>,< 6, 34992, a*b^3*c*e^3*h*i^2*j*k^2>,< 6, 34992, a*c*d*e^3*g^2*h*i*k*l^2*m^2>,< 6, 34992, a*b^3*c*e*f^2*g*h^2*i*j^2*k*m>,< 6, 34992, a*b^2*c*e*f*h*i^2*j*k>,< 6, 34992, a*b^2*c^2*d*e^3*f^2*g^2*h^2*j^2*m^2>,< 8, 4374, b^3*e^3*f*h^2*j*k^2*m>,< 8, 4374, b^3*d*e^3*f*i^2*k^2*m^2>,< 8, 39366, a*b*d*e*f*g*h*i*k^2*l*m>,< 8, 39366, a*b*e*f^2*g*h^2*j*k^2*l^2>,< 9, 54, b^2*g*i^2*j^2*k^2*l^2>,< 9, 54, b^4*h^2*i^2*j^2*k*m^2>,< 9, 54, b^2*h*i*j*m>,< 9, 432, b^4*f^2*h^2*k*l*m^2>,< 9, 432, b^2*f^2*g*h*l*m>,< 9, 432, b^4*f*g^2*h^2*k^2*l^2*m^2>,< 9, 1296, b^4*c^2*d*f^2*h^2*j^2>,< 9, 1296, b^2*f*g*h^2*j*k^2*m>,< 9, 1296, b^4*c*f^2*g^2*h*j^2*k*m>,< 9, 1296, b^2*c^2*f*g*h^2*j*k*m^2>,< 9, 2592, b^4*g*h*i^2*j*k*m^2>,< 9, 2592, b^2*c^2*f*h*i^2*j^2*k^2*m>,< 9, 2592, b^2*c*d*e*f*g^2*j*l>,< 9, 2592, b^4*c^2*d*f^2*h*i^2*j*k>,< 9, 3888, b^4*f^2*g^2*h^2*i^2*k*l*m>,< 9, 7776, b^2*c*d*e*g^2*h*i^2*j*k*m^2>,< 9, 7776, b^2*c*f^2*g*h*k^2*l*m^2>,< 9, 7776, c*e*f*g^2*h^2*i^2*j^2*k*l^2*m^2>,< 9, 11664, c^2*e^3*g*i^2*j*k^2*m>,< 9, 11664, c*d*e^2*g^2*i*j*m^2>,< 9, 23328, b^4*c*d*e^2*f^2*g*h^2*i^2*l*m>,< 9, 23328, b^2*c^2*d*f^2*g^2*h^2*i*j^2*l>,< 9, 23328, b^4*c*d*e*f*g^2*i*j^2*k^2*l^2*m^2>,< 12, 8748, d*e^2*g^2*i^2*j^2>,< 12, 13122, d*f^2*g*j^2*k^2>,< 12, 13122, d*e^2*f^2*g^2*h*j*k>,< 12, 39366, a*b^4*d*f*g^2*h^2*i*l*m^2>,< 12, 39366, a*b^4*d*e^2*h*k^2*l^2*m>,< 18, 4374, b^4*e^2*f^2*h^2*i*j^2*l*m^2>,< 18, 4374, b^2*e^2*f*g^2*h*k*l>,< 18, 4374, b^4*e^2*f*g^2*i^2*j^2*l*m^2>,< 18, 5832, b^5*d*f^2*i^2*j*k^2*l*m>,< 18, 5832, b*c^2*d*e^3*f^2*g*i^2*j^2*m^2>,< 18, 5832, b^5*c^2*d*e^3*f^2*h*i*j*k*l*m>,< 18, 11664, b^5*c^2*d*e^3*h*k*l*m>,< 18, 11664, b*d*f*g^2*h*i^2*k^2*l^2>,< 18, 11664, b^5*d*f^2*g^2*h^2*j*k*m^2>,< 18, 34992, b^2*c*d*e^3*f*g*h^2*i^2*j^2*k*m^2>,< 18, 34992, b^5*d*f^2*j^2*k*l>,< 18, 34992, b*c^2*f^2*h*m>,< 18, 34992, a*c*d*i^2*k*l^2*m>,< 18, 34992, a*c^2*e*g^2*h*i*k^2*l^2*m>,< 18, 34992, b^2*c^2*e^2*f^2*h*i^2*j^2*k*m>,< 18, 34992, b^4*c*e^2*f*g^2*h^2*i^2*j>,< 24, 8748, b^3*d*e*g^2*h^2*i^2*j*l>,< 24, 8748, b^3*e*g^2*i*l*m^2>,< 24, 13122, b^3*d*e^3*g*i*j^2*k*l>,< 24, 13122, b^3*e^3*f^2*g*h*j*k*l*m^2>,< 24, 13122, b^3*e^3*f^2*g*h*j*k^2*l*m^2>,< 24, 13122, b^3*d*e^3*g*i*j^2*l>,< 24, 39366, a*b*e^3*f^2*g^2*h^2*j^2*k^2*l*m>,< 24, 39366, a*b*d*e^3*g^2*i^2*k^2*l^2*m^2>,< 24, 39366, a*b*d*e^3*g^2*i^2*k*l^2*m^2>,< 24, 39366, a*b*e^3*f^2*g^2*h^2*j^2*l*m>,< 36, 26244, b^2*d*f*h*i*j*k*m^2>,< 36, 26244, b^4*d*f*g*h*k*m^2>,< 36, 26244, b^2*d*e^2*h^2*k^2*l^2*m^2>,< 72, 26244, b*e^3*f^2*g^2*h^2*k^2*l>,< 72, 26244, b^5*d*e^3*f^2*i*k^2*l^2*m^2>,< 72, 26244, b^5*e^3*f*g^2*h^2*i*j^2*k*l*m>,< 72, 26244, b*d*e^3*f*g*h*i^2*k*l^2*m^2>,< 72, 26244, b^5*d*e^3*f*g^2*h^2*i^2*k*l*m^2>,< 72, 26244, b*e^3*f*g*h^2*i^2*k^2*l^2*m>]); CR := CharacterRing(G); x := CR!\[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, 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, 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, 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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[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, -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, -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, -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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[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, 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, -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, 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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[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, -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, 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, -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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -1, 2, -1, 0, 2, 2, 0, 2, 2, 0, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, -1, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, 0, -2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -2, -2, -2, 0, -2, -2, 0, 0, 2, 0, -2, -2, 0, 0, 2, 2, 0, 0, -2, 0, 1, -2, -1, 0, -2, -2, 0, -2, -2, 0, 0, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 0, -2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 0, 0, 0, -2, 0, 0, -2, -2, 2, -2, 0, 0, -2, -2, 2, 2, 0, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 2, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 0, 0, -1, -1, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |2,-2,0,2,-2,0,2,2,2,2,2,2,2,2,2,2,-1,2,2,2,-1,2,2,-1,-1,2,2,-1,2,-1,-1,2,-1,-1,-1,-1,0,0,-2,-2,0,2,2,0,0,-2,0,-2,-2,0,0,-2,-2,0,0,-2,0,1,-2,1,0,2,-2,0,2,2,0,0,1,1,0,0,1,-1,0,0,0,0,0,0,-1,-1,1,1,0,0,0,-1,1,0,1,0,-1,-1,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,2,2,2,2,2,2,-1,2,-1,-1,2,-1,-1,-1,2,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,-2,-2,-2,0,0,0,0,0,0,1,0,0,1,1,1,1,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,0,0,0,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |2,-2,0,2,-2,0,2,2,2,2,2,2,2,2,2,2,-1,2,2,2,-1,2,2,-1,-1,2,2,-1,2,-1,-1,2,-1,-1,-1,-1,0,0,-2,-2,0,2,2,0,0,-2,0,-2,-2,0,0,-2,-2,0,0,-2,0,1,-2,1,0,2,-2,0,2,2,0,0,1,1,0,0,1,-1,0,0,0,0,0,0,-1,-1,1,1,0,0,0,-1,1,0,1,0,-1,-1,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,2,2,2,2,2,2,-1,2,-1,-1,2,-1,-1,-1,2,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,-2,-2,-2,0,0,0,0,0,0,1,0,0,1,1,1,1,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,0,0,0,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |2,2,0,-2,-2,0,2,2,2,2,2,2,2,2,2,2,-1,2,2,2,-1,2,2,-1,-1,2,2,-1,2,-1,-1,2,-1,-1,-1,-1,0,0,2,2,0,-2,-2,0,0,-2,0,2,2,0,0,-2,-2,0,0,2,0,-1,2,1,0,-2,2,0,-2,-2,0,0,-1,-1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,-1,0,-1,0,1,1,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,2,2,2,2,2,2,-1,2,-1,-1,2,-1,-1,-1,2,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,-2,-2,-2,0,0,0,0,0,0,1,0,0,-1,-1,1,1,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,0,0,0,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |2,2,0,-2,-2,0,2,2,2,2,2,2,2,2,2,2,-1,2,2,2,-1,2,2,-1,-1,2,2,-1,2,-1,-1,2,-1,-1,-1,-1,0,0,2,2,0,-2,-2,0,0,-2,0,2,2,0,0,-2,-2,0,0,2,0,-1,2,1,0,-2,2,0,-2,-2,0,0,-1,-1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,-1,0,-1,0,1,1,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,2,2,2,2,2,2,-1,2,-1,-1,2,-1,-1,-1,2,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,-2,-2,-2,0,0,0,0,0,0,1,0,0,-1,-1,1,1,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3,0,0,0,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, -1, -1, 3, 3, 1, 3, 3, 1, 1, 3, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 0, 3, 0, 1, 3, 3, 1, 3, 3, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[3, 3, -1, 3, 3, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, -1, -1, 3, 3, -1, 3, 3, -1, -1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, 3, -1, 0, 3, 0, -1, 3, 3, -1, 3, 3, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 3, 3, 3, -1, -1, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[3, -3, -1, -3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, -1, 1, -3, -3, -1, -3, -3, -1, -1, 3, -1, -3, -3, -1, -1, 3, 3, 1, 1, -3, -1, 0, -3, 0, -1, -3, -3, 1, -3, -3, 1, 1, 0, 0, -1, -1, 0, 0, -1, 1, 1, 1, -1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, -1, -1, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 3, 3, 3, -1, -1, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[3, -3, 1, -3, 3, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, -1, 1, -3, -3, 1, -3, -3, 1, 1, 3, 1, -3, -3, 1, 1, 3, 3, -1, -1, -3, 1, 0, -3, 0, 1, -3, -3, -1, -3, -3, -1, -1, 0, 0, 1, 1, 0, 0, 1, -1, -1, -1, 1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, -1, -1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 4, 4, -2, 4, 4, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, 4, 4, 4, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -4, 0, 4, -4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 1, 4, 4, 1, 1, 4, 4, 1, 4, 1, 1, 4, 1, 1, 1, 1, 0, 0, -4, -4, 0, 4, 4, 0, 0, -4, 0, -4, -4, 0, 0, -4, -4, 0, 0, -4, 0, -1, -4, -1, 0, 4, -4, 0, 4, 4, 0, 0, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, -1, 0, -1, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 4, 0, -4, -4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 1, 4, 4, 1, 1, 4, 4, 1, 4, 1, 1, 4, 1, 1, 1, 1, 0, 0, 4, 4, 0, -4, -4, 0, 0, -4, 0, 4, 4, 0, 0, -4, -4, 0, 0, 4, 0, 1, 4, -1, 0, -4, 4, 0, -4, -4, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, -1, 1, 0, 1, 0, -1, -1, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |4,0,0,0,-4,0,4,4,4,4,4,4,4,4,4,4,-2,4,4,4,-2,4,4,-2,-2,4,4,-2,4,-2,-2,-2,-2,-2,-2,1,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,-4,-4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^3,2*K.1+2*K.1^3,0,0,-2,-2,-2,-2,-2,-2,1,-2,1,1,-2,1,1,1,-2,1,1,-2,-2,-2,1,1,1,0,0,0,0,0,2,2,2,0,0,0,0,0,0,-1,0,0,0,0,-1,-1,-2*K.1-2*K.1^3,2*K.1+2*K.1^3,2*K.1+2*K.1^3,-2*K.1-2*K.1^3,-2*K.1-2*K.1^3,2*K.1+2*K.1^3,0,0,0,0,0,0,0,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,-1*K.1-K.1^3,K.1+K.1^3]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |4,0,0,0,-4,0,4,4,4,4,4,4,4,4,4,4,-2,4,4,4,-2,4,4,-2,-2,4,4,-2,4,-2,-2,-2,-2,-2,-2,1,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,-4,-4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2*K.1+2*K.1^3,-2*K.1-2*K.1^3,0,0,-2,-2,-2,-2,-2,-2,1,-2,1,1,-2,1,1,1,-2,1,1,-2,-2,-2,1,1,1,0,0,0,0,0,2,2,2,0,0,0,0,0,0,-1,0,0,0,0,-1,-1,2*K.1+2*K.1^3,-2*K.1-2*K.1^3,-2*K.1-2*K.1^3,2*K.1+2*K.1^3,2*K.1+2*K.1^3,-2*K.1-2*K.1^3,0,0,0,0,0,0,0,-1*K.1-K.1^3,K.1+K.1^3,-1*K.1-K.1^3,K.1+K.1^3,K.1+K.1^3,-1*K.1-K.1^3]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[6, 0, 2, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, -3, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 6, 2, 0, 0, 2, 2, 6, 6, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -3, -3, -3, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, -3, -3, -3, -1, -1, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, 0, -2, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, -3, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 6, -2, 0, 0, -2, -2, 6, 6, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -3, -3, -3, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, -3, -3, -3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 8, 2, 0, 0, 2, 8, 8, 8, 8, 8, 8, -1, 8, -1, 8, 2, 8, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, 0, 0, 8, 8, 2, 0, 0, 2, 2, 0, 2, 8, -1, 2, 2, 0, 0, 2, 2, -1, -1, 2, -1, 0, 2, 0, -1, 2, 0, 0, 2, 2, 2, 2, -1, 2, 0, 0, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, -1, -1, 2, 0, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 8, 8, 8, -1, -1, -1, 2, 8, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 8, 2, 0, 0, 2, 8, 8, 8, 8, 8, 8, 8, -1, 8, -1, 2, -1, 8, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, 0, 0, 8, 8, 2, 0, 0, 2, 2, 0, 2, -1, 8, 2, 2, 0, 0, 2, 2, -1, 2, 2, -1, 0, -1, 0, -1, 2, 0, 0, 2, 2, 2, 2, 2, -1, 0, 0, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, -1, -1, -1, 0, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 8, -2, 0, 0, -2, 8, 8, 8, 8, 8, 8, -1, 8, -1, 8, 2, 8, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, 0, 0, 8, 8, -2, 0, 0, -2, -2, 0, -2, 8, -1, -2, -2, 0, 0, -2, -2, -1, 1, 2, -1, 0, -2, 0, -1, -2, 0, 0, -2, -2, 2, 2, 1, -2, 0, 0, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 1, 1, -2, 0, -1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 8, 8, 8, -1, -1, -1, 2, 8, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 8, -2, 0, 0, -2, 8, 8, 8, 8, 8, 8, 8, -1, 8, -1, 2, -1, 8, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, 0, 0, 8, 8, -2, 0, 0, -2, -2, 0, -2, -1, 8, -2, -2, 0, 0, -2, -2, -1, -2, 2, -1, 0, 1, 0, -1, -2, 0, 0, -2, -2, 2, 2, -2, 1, 0, 0, 1, 1, 1, 1, 1, -2, 0, 0, 0, 0, 1, 1, 1, 0, 2, -2, -1, 1, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -8, -2, 0, 0, 2, 8, 8, 8, 8, 8, 8, -1, 8, -1, 8, 2, 8, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, 0, 0, -8, -8, -2, 0, 0, -2, -2, 0, -2, -8, 1, -2, -2, 0, 0, 2, 2, 1, 1, -2, 1, 0, -2, 0, 1, 2, 0, 0, 2, 2, -2, -2, 1, -2, 0, 0, 1, -1, -1, 2, 1, -1, 0, 0, 0, 0, 1, -1, 2, 0, 1, -1, -2, -1, 0, 0, 0, 0, 0, 0, 8, 8, 8, -1, -1, -1, 2, 8, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -8, -2, 0, 0, 2, 8, 8, 8, 8, 8, 8, 8, -1, 8, -1, 2, -1, 8, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, 0, 0, -8, -8, -2, 0, 0, -2, -2, 0, -2, 1, -8, -2, -2, 0, 0, 2, 2, 1, -2, -2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, -2, -2, -2, 1, 0, 0, 1, -1, -1, -1, 1, 2, 0, 0, 0, 0, 1, -1, -1, 0, -2, 2, 1, -1, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -8, 2, 0, 0, -2, 8, 8, 8, 8, 8, 8, -1, 8, -1, 8, 2, 8, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, 0, 0, -8, -8, 2, 0, 0, 2, 2, 0, 2, -8, 1, 2, 2, 0, 0, -2, -2, 1, -1, -2, 1, 0, 2, 0, 1, -2, 0, 0, -2, -2, -2, -2, -1, 2, 0, 0, -1, 1, 1, -2, -1, 1, 0, 0, 0, 0, -1, 1, -2, 0, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 8, 8, 8, -1, -1, -1, 2, 8, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, -1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -8, 2, 0, 0, -2, 8, 8, 8, 8, 8, 8, 8, -1, 8, -1, 2, -1, 8, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, 0, 0, -8, -8, 2, 0, 0, 2, 2, 0, 2, 1, -8, 2, 2, 0, 0, -2, -2, 1, 2, -2, 1, 0, -1, 0, 1, -2, 0, 0, -2, -2, -2, -2, 2, -1, 0, 0, -1, 1, 1, 1, -1, -2, 0, 0, 0, 0, -1, 1, 1, 0, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 2, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, 0, 0, -8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 2, 8, 8, 2, 2, 8, 8, 2, 8, 2, 2, -4, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -1, -4, -1, -1, -4, -1, -1, -1, -4, -1, -1, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,9,3,1,1,3,9,9*K.1^-1,9*K.1,9,9*K.1,9*K.1^-1,0,0,0,0,3,0,0,0,3,0,0,3*K.1,3*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,1,1,9*K.1,9*K.1^-1,3,K.1,K.1^-1,3*K.1^-1,3*K.1,1,3,0,0,3*K.1^-1,3*K.1,K.1^-1,K.1,3*K.1^-1,3*K.1,0,0,3,0,1,0,1,0,3,K.1,K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,1,1,0,0,0,0,0,0,K.1^-1,K.1,K.1,K.1^-1,0,0,0,1,0,0,0,0,K.1,K.1^-1,1,1,1,1,9,9*K.1^-1,9*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,1,K.1,K.1^-1,K.1,K.1^-1,1,K.1,K.1^-1,3,3*K.1,3*K.1^-1,0,0,0,1,0,0,0,0,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,9,3,1,1,3,9,9*K.1,9*K.1^-1,9,9*K.1^-1,9*K.1,0,0,0,0,3,0,0,0,3,0,0,3*K.1^-1,3*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,1,1,9*K.1^-1,9*K.1,3,K.1^-1,K.1,3*K.1,3*K.1^-1,1,3,0,0,3*K.1,3*K.1^-1,K.1,K.1^-1,3*K.1,3*K.1^-1,0,0,3,0,1,0,1,0,3,K.1^-1,K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,1,1,0,0,0,0,0,0,K.1,K.1^-1,K.1^-1,K.1,0,0,0,1,0,0,0,0,K.1^-1,K.1,1,1,1,1,9,9*K.1,9*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,1,K.1^-1,K.1,K.1^-1,K.1,1,K.1^-1,K.1,3,3*K.1^-1,3*K.1,0,0,0,1,0,0,0,0,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,-9,-3,-1,1,3,9,9*K.1^-1,9*K.1,9,9*K.1,9*K.1^-1,0,0,0,0,3,0,0,0,3,0,0,3*K.1,3*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,1,-1,-9*K.1,-9*K.1^-1,-3,-1*K.1,-1*K.1^-1,-3*K.1^-1,-3*K.1,1,-3,0,0,-3*K.1^-1,-3*K.1,K.1^-1,K.1,3*K.1^-1,3*K.1,0,0,-3,0,1,0,-1,0,3,-1*K.1,-1*K.1^-1,3*K.1^-1,3*K.1,-3*K.1^-1,-3*K.1,0,0,1,-1,0,0,0,0,0,0,-1*K.1^-1,-1*K.1,K.1,K.1^-1,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,-1,-1,1,1,9,9*K.1^-1,9*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,1,K.1,K.1^-1,-1*K.1,-1*K.1^-1,1,K.1,K.1^-1,-3,-3*K.1,-3*K.1^-1,0,0,0,1,0,0,0,0,K.1^-1,K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^-1,K.1,1,K.1^-1,K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,-9,-3,-1,1,3,9,9*K.1,9*K.1^-1,9,9*K.1^-1,9*K.1,0,0,0,0,3,0,0,0,3,0,0,3*K.1^-1,3*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,1,-1,-9*K.1^-1,-9*K.1,-3,-1*K.1^-1,-1*K.1,-3*K.1,-3*K.1^-1,1,-3,0,0,-3*K.1,-3*K.1^-1,K.1,K.1^-1,3*K.1,3*K.1^-1,0,0,-3,0,1,0,-1,0,3,-1*K.1^-1,-1*K.1,3*K.1,3*K.1^-1,-3*K.1,-3*K.1^-1,0,0,1,-1,0,0,0,0,0,0,-1*K.1,-1*K.1^-1,K.1^-1,K.1,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,-1,-1,1,1,9,9*K.1,9*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,1,K.1^-1,K.1,-1*K.1^-1,-1*K.1,1,K.1^-1,K.1,-3,-3*K.1^-1,-3*K.1,0,0,0,1,0,0,0,0,K.1,K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1,K.1^-1,1,K.1,K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,-9,3,-1,1,-3,9,9*K.1^-1,9*K.1,9,9*K.1,9*K.1^-1,0,0,0,0,3,0,0,0,3,0,0,3*K.1,3*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,1,-1,-9*K.1,-9*K.1^-1,3,-1*K.1,-1*K.1^-1,3*K.1^-1,3*K.1,1,3,0,0,3*K.1^-1,3*K.1,K.1^-1,K.1,-3*K.1^-1,-3*K.1,0,0,-3,0,1,0,-1,0,-3,-1*K.1,-1*K.1^-1,-3*K.1^-1,-3*K.1,-3*K.1^-1,-3*K.1,0,0,1,-1,0,0,0,0,0,0,-1*K.1^-1,-1*K.1,K.1,K.1^-1,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,1,1,-1,-1,9,9*K.1^-1,9*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,1,K.1,K.1^-1,-1*K.1,-1*K.1^-1,1,K.1,K.1^-1,3,3*K.1,3*K.1^-1,0,0,0,1,0,0,0,0,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,-9,3,-1,1,-3,9,9*K.1,9*K.1^-1,9,9*K.1^-1,9*K.1,0,0,0,0,3,0,0,0,3,0,0,3*K.1^-1,3*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,1,-1,-9*K.1^-1,-9*K.1,3,-1*K.1^-1,-1*K.1,3*K.1,3*K.1^-1,1,3,0,0,3*K.1,3*K.1^-1,K.1,K.1^-1,-3*K.1,-3*K.1^-1,0,0,-3,0,1,0,-1,0,-3,-1*K.1^-1,-1*K.1,-3*K.1,-3*K.1^-1,-3*K.1,-3*K.1^-1,0,0,1,-1,0,0,0,0,0,0,-1*K.1,-1*K.1^-1,K.1^-1,K.1,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,1,1,-1,-1,9,9*K.1,9*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,1,K.1^-1,K.1,-1*K.1^-1,-1*K.1,1,K.1^-1,K.1,3,3*K.1^-1,3*K.1,0,0,0,1,0,0,0,0,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,9,-3,1,1,-3,9,9*K.1^-1,9*K.1,9,9*K.1,9*K.1^-1,0,0,0,0,3,0,0,0,3,0,0,3*K.1,3*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,1,1,9*K.1,9*K.1^-1,-3,K.1,K.1^-1,-3*K.1^-1,-3*K.1,1,-3,0,0,-3*K.1^-1,-3*K.1,K.1^-1,K.1,-3*K.1^-1,-3*K.1,0,0,3,0,1,0,1,0,-3,K.1,K.1^-1,-3*K.1^-1,-3*K.1,3*K.1^-1,3*K.1,0,0,1,1,0,0,0,0,0,0,K.1^-1,K.1,K.1,K.1^-1,0,0,0,1,0,0,0,0,K.1,K.1^-1,-1,-1,-1,-1,9,9*K.1^-1,9*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,1,K.1,K.1^-1,K.1,K.1^-1,1,K.1,K.1^-1,-3,-3*K.1,-3*K.1^-1,0,0,0,1,0,0,0,0,K.1^-1,K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,1,K.1^-1,K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |9,9,-3,1,1,-3,9,9*K.1,9*K.1^-1,9,9*K.1^-1,9*K.1,0,0,0,0,3,0,0,0,3,0,0,3*K.1^-1,3*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,1,1,9*K.1^-1,9*K.1,-3,K.1^-1,K.1,-3*K.1,-3*K.1^-1,1,-3,0,0,-3*K.1,-3*K.1^-1,K.1,K.1^-1,-3*K.1,-3*K.1^-1,0,0,3,0,1,0,1,0,-3,K.1^-1,K.1,-3*K.1,-3*K.1^-1,3*K.1,3*K.1^-1,0,0,1,1,0,0,0,0,0,0,K.1,K.1^-1,K.1^-1,K.1,0,0,0,1,0,0,0,0,K.1^-1,K.1,-1,-1,-1,-1,9,9*K.1,9*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,1,K.1^-1,K.1,K.1^-1,K.1,1,K.1^-1,K.1,-3,-3*K.1^-1,-3*K.1,0,0,0,1,0,0,0,0,K.1,K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,1,K.1,K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[16, 16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, -2, -2, -2, 4, -2, -2, 7, 4, -2, -2, 4, 4, 7, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 7, 0, 4, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, -2, -2, -2, 4, -2, 4, 4, 7, 4, 4, 4, -2, -2, -2, -2, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, 16, -2, 16, -2, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, -2, 1, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 16, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, -2, -2, -2, -2, 16, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, -2, 16, -2, -2, -2, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, -2, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, -2, 16, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 0, 4, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, 16, -2, 16, 4, 16, -2, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, 4, 4, 1, -2, 4, 4, 1, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 1, 1, 1, -2, -8, -2, -2, 1, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 0, 4, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, -2, 16, -2, 4, -2, 16, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, 4, 4, 1, 4, -2, -2, -2, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 4, -2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, -16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, -2, -2, -2, 4, -2, -2, 7, 4, -2, -2, 4, 4, 7, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -7, 0, -4, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, -2, -2, -2, 4, -2, 4, 4, 7, 4, 4, 4, -2, -2, -2, -2, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, -16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, 16, -2, 16, -2, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, -2, 1, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, -16, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, -2, -2, -2, -2, 16, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, -16, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, -2, 16, -2, -2, -2, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, -2, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 2, -16, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 0, -4, 0, 0, 0, 16, 16, 16, 16, 16, 16, -2, 16, -2, 16, 4, 16, -2, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, 4, 4, 1, -2, 4, 4, 1, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 1, 1, 1, -2, -8, -2, -2, 1, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 0, -4, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, -2, 16, -2, 4, -2, 16, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, 4, 4, 1, 4, -2, -2, -2, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -2, 1, -2, -2, 1, -2, -2, -2, 1, -2, -2, 4, -2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |16,16,0,0,0,0,16,16,16,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,-2,1,1,1,1,0,0,16,16,0,0,0,0,0,0,0,-2,-2,0,0,0,0,0,0,7,0,-2,-2,0,0,0,-2,0,0,0,0,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,1,1,1,-2-3*K.1,1+3*K.1,1,-2-3*K.1,1+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1+3*K.1,-2-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |16,16,0,0,0,0,16,16,16,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,-2,1,1,1,1,0,0,16,16,0,0,0,0,0,0,0,-2,-2,0,0,0,0,0,0,7,0,-2,-2,0,0,0,-2,0,0,0,0,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,1,1,1,1+3*K.1,-2-3*K.1,1,1+3*K.1,-2-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2-3*K.1,1+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |16,-16,0,0,0,0,16,16,16,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,-2,1,1,1,1,0,0,-16,-16,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,-7,0,2,2,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,1,1,1,-2-3*K.1,1+3*K.1,1,-2-3*K.1,1+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1-3*K.1,2+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |16,-16,0,0,0,0,16,16,16,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,-2,-2,1,1,1,1,0,0,-16,-16,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,-7,0,2,2,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,16,16,16,-2,-2,-2,-2,-2,-2,-2,7,-2,-2,-2,-2,1,1,1,1+3*K.1,-2-3*K.1,1,1+3*K.1,-2-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2+3*K.1,-1-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,0,6,0,2,0,18,18*K.1^-1,18*K.1,18,18*K.1,18*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,6,0,6*K.1^-1,6*K.1,0,0,0,0,0,2,0,0,0,6,0,0,6*K.1^-1,6*K.1,2,6,0,0,6*K.1^-1,6*K.1,2*K.1^-1,2*K.1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-9,-9*K.1^-1,-9*K.1,0,0,0,-3,0,-3*K.1,-3*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,2,2*K.1,2*K.1^-1,0,0,-1,-1*K.1,-1*K.1^-1,-3,-3*K.1,-3*K.1^-1,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,2,2,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,0,6,0,2,0,18,18*K.1,18*K.1^-1,18,18*K.1^-1,18*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,6,0,6*K.1,6*K.1^-1,0,0,0,0,0,2,0,0,0,6,0,0,6*K.1,6*K.1^-1,2,6,0,0,6*K.1,6*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-9,-9*K.1,-9*K.1^-1,0,0,0,-3,0,-3*K.1^-1,-3*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,2,2*K.1^-1,2*K.1,0,0,-1,-1*K.1^-1,-1*K.1,-3,-3*K.1^-1,-3*K.1,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,2,2,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,0,0,0,0,-1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,18,0,2,2,0,18,18*K.1^-1,18*K.1,18,18*K.1,18*K.1^-1,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1,-3*K.1^-1,0,0,-3,0,-3*K.1^-1,-3*K.1,0,0,0,0,0,2,2,18*K.1,18*K.1^-1,0,2*K.1,2*K.1^-1,0,0,2,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,-3,0,-1,0,2,0,0,2*K.1,2*K.1^-1,0,0,-3*K.1^-1,-3*K.1,0,0,-1,-1,0,0,0,0,0,0,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,18,18*K.1^-1,18*K.1,0,0,0,-3,0,-3*K.1,-3*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,2,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2,2*K.1,2*K.1^-1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,2,2*K.1^-1,2*K.1,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,18,0,2,2,0,18,18*K.1,18*K.1^-1,18,18*K.1^-1,18*K.1,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1^-1,-3*K.1,0,0,-3,0,-3*K.1,-3*K.1^-1,0,0,0,0,0,2,2,18*K.1^-1,18*K.1,0,2*K.1^-1,2*K.1,0,0,2,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,-3,0,-1,0,2,0,0,2*K.1^-1,2*K.1,0,0,-3*K.1,-3*K.1^-1,0,0,-1,-1,0,0,0,0,0,0,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,18,18*K.1,18*K.1^-1,0,0,0,-3,0,-3*K.1^-1,-3*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,2,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2,2*K.1^-1,2*K.1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,2,2*K.1,2*K.1^-1,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,-18,0,-2,2,0,18,18*K.1^-1,18*K.1,18,18*K.1,18*K.1^-1,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1,-3*K.1^-1,0,0,-3,0,-3*K.1^-1,-3*K.1,0,0,0,0,0,2,-2,-18*K.1,-18*K.1^-1,0,-2*K.1,-2*K.1^-1,0,0,2,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,3,0,-1,0,-2,0,0,-2*K.1,-2*K.1^-1,0,0,3*K.1^-1,3*K.1,0,0,-1,1,0,0,0,0,0,0,K.1^-1,K.1,-1*K.1,-1*K.1^-1,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,18,18*K.1^-1,18*K.1,0,0,0,-3,0,-3*K.1,-3*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,2,2*K.1,2*K.1^-1,-2*K.1,-2*K.1^-1,2,2*K.1,2*K.1^-1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,2,2*K.1^-1,2*K.1,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,-18,0,-2,2,0,18,18*K.1,18*K.1^-1,18,18*K.1^-1,18*K.1,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1^-1,-3*K.1,0,0,-3,0,-3*K.1,-3*K.1^-1,0,0,0,0,0,2,-2,-18*K.1^-1,-18*K.1,0,-2*K.1^-1,-2*K.1,0,0,2,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,3,0,-1,0,-2,0,0,-2*K.1^-1,-2*K.1,0,0,3*K.1,3*K.1^-1,0,0,-1,1,0,0,0,0,0,0,K.1,K.1^-1,-1*K.1^-1,-1*K.1,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,18,18*K.1,18*K.1^-1,0,0,0,-3,0,-3*K.1^-1,-3*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,2,2*K.1^-1,2*K.1,-2*K.1^-1,-2*K.1,2,2*K.1^-1,2*K.1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,2,2*K.1,2*K.1^-1,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,0,-6,0,2,0,18,18*K.1^-1,18*K.1,18,18*K.1,18*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,6,0,6*K.1^-1,6*K.1,0,0,0,0,0,2,0,0,0,-6,0,0,-6*K.1^-1,-6*K.1,2,-6,0,0,-6*K.1^-1,-6*K.1,2*K.1^-1,2*K.1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-9,-9*K.1^-1,-9*K.1,0,0,0,-3,0,-3*K.1,-3*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,2,2*K.1,2*K.1^-1,0,0,-1,-1*K.1,-1*K.1^-1,3,3*K.1,3*K.1^-1,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,0,0,0,0,-1,-1*K.1^-1,-1*K.1,1,1,K.1,K.1^-1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |18,0,-6,0,2,0,18,18*K.1,18*K.1^-1,18,18*K.1^-1,18*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,6,0,6*K.1,6*K.1^-1,0,0,0,0,0,2,0,0,0,-6,0,0,-6*K.1,-6*K.1^-1,2,-6,0,0,-6*K.1,-6*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-9,-9*K.1,-9*K.1^-1,0,0,0,-3,0,-3*K.1^-1,-3*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,2,2*K.1^-1,2*K.1,0,0,-1,-1*K.1^-1,-1*K.1,3,3*K.1^-1,3*K.1,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,0,0,0,0,-1,-1*K.1,-1*K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,-18,0,2,-2,0,18,-18*K.1^4,18*K.1^8,18,18*K.1^8,-18*K.1^4,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1^8,3*K.1^4,0,0,-3,0,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,-18*K.1^8,18*K.1^4,0,2*K.1^8,-2*K.1^4,0,0,-2,0,0,0,0,0,2*K.1^4,-2*K.1^8,0,0,0,0,3,0,1,0,2,0,0,2*K.1^8,-2*K.1^4,0,0,-3*K.1^4,3*K.1^8,0,0,1,-1,0,0,0,0,0,0,K.1^4,-1*K.1^8,K.1^8,-1*K.1^4,0,0,0,-1,0,0,0,0,-1*K.1^8,K.1^4,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,18,-18*K.1^4,18*K.1^8,0,0,0,-3,0,-3*K.1^8,3*K.1^4,0,-3,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^8,2*K.1^4,0,0,0,0,0,0,1,0,0,0,0,-1*K.1^4,K.1^8,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7,0,0,0,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,-18,0,2,-2,0,18,18*K.1^8,-18*K.1^4,18,-18*K.1^4,18*K.1^8,0,0,0,0,-3,0,0,0,-3,0,0,3*K.1^4,-3*K.1^8,0,0,-3,0,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,18*K.1^4,-18*K.1^8,0,-2*K.1^4,2*K.1^8,0,0,-2,0,0,0,0,0,-2*K.1^8,2*K.1^4,0,0,0,0,3,0,1,0,2,0,0,-2*K.1^4,2*K.1^8,0,0,3*K.1^8,-3*K.1^4,0,0,1,-1,0,0,0,0,0,0,-1*K.1^8,K.1^4,-1*K.1^4,K.1^8,0,0,0,-1,0,0,0,0,K.1^4,-1*K.1^8,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,18,18*K.1^8,-18*K.1^4,0,0,0,-3,0,3*K.1^4,-3*K.1^8,0,-3,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2*K.1^4,-2*K.1^8,0,0,0,0,0,0,1,0,0,0,0,K.1^8,-1*K.1^4,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7,0,0,0,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,-18,0,2,-2,0,18,-18*K.1^4,18*K.1^8,18,18*K.1^8,-18*K.1^4,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1^8,3*K.1^4,0,0,-3,0,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,-18*K.1^8,18*K.1^4,0,2*K.1^8,-2*K.1^4,0,0,-2,0,0,0,0,0,2*K.1^4,-2*K.1^8,0,0,0,0,3,0,1,0,2,0,0,2*K.1^8,-2*K.1^4,0,0,-3*K.1^4,3*K.1^8,0,0,1,-1,0,0,0,0,0,0,K.1^4,-1*K.1^8,K.1^8,-1*K.1^4,0,0,0,-1,0,0,0,0,-1*K.1^8,K.1^4,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,18,-18*K.1^4,18*K.1^8,0,0,0,-3,0,-3*K.1^8,3*K.1^4,0,-3,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^8,2*K.1^4,0,0,0,0,0,0,1,0,0,0,0,-1*K.1^4,K.1^8,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,0,0,0,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,-18,0,2,-2,0,18,18*K.1^8,-18*K.1^4,18,-18*K.1^4,18*K.1^8,0,0,0,0,-3,0,0,0,-3,0,0,3*K.1^4,-3*K.1^8,0,0,-3,0,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,18*K.1^4,-18*K.1^8,0,-2*K.1^4,2*K.1^8,0,0,-2,0,0,0,0,0,-2*K.1^8,2*K.1^4,0,0,0,0,3,0,1,0,2,0,0,-2*K.1^4,2*K.1^8,0,0,3*K.1^8,-3*K.1^4,0,0,1,-1,0,0,0,0,0,0,-1*K.1^8,K.1^4,-1*K.1^4,K.1^8,0,0,0,-1,0,0,0,0,K.1^4,-1*K.1^8,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,18,18*K.1^8,-18*K.1^4,0,0,0,-3,0,3*K.1^4,-3*K.1^8,0,-3,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2*K.1^4,-2*K.1^8,0,0,0,0,0,0,1,0,0,0,0,K.1^8,-1*K.1^4,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,0,0,0,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,18,0,-2,-2,0,18,-18*K.1^4,18*K.1^8,18,18*K.1^8,-18*K.1^4,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1^8,3*K.1^4,0,0,-3,0,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,18*K.1^8,-18*K.1^4,0,-2*K.1^8,2*K.1^4,0,0,-2,0,0,0,0,0,2*K.1^4,-2*K.1^8,0,0,0,0,-3,0,1,0,-2,0,0,-2*K.1^8,2*K.1^4,0,0,3*K.1^4,-3*K.1^8,0,0,1,1,0,0,0,0,0,0,-1*K.1^4,K.1^8,K.1^8,-1*K.1^4,0,0,0,1,0,0,0,0,K.1^8,-1*K.1^4,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,18,-18*K.1^4,18*K.1^8,0,0,0,-3,0,-3*K.1^8,3*K.1^4,0,-3,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^8,2*K.1^4,0,0,0,0,0,0,1,0,0,0,0,-1*K.1^4,K.1^8,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,0,0,0,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,18,0,-2,-2,0,18,18*K.1^8,-18*K.1^4,18,-18*K.1^4,18*K.1^8,0,0,0,0,-3,0,0,0,-3,0,0,3*K.1^4,-3*K.1^8,0,0,-3,0,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,-18*K.1^4,18*K.1^8,0,2*K.1^4,-2*K.1^8,0,0,-2,0,0,0,0,0,-2*K.1^8,2*K.1^4,0,0,0,0,-3,0,1,0,-2,0,0,2*K.1^4,-2*K.1^8,0,0,-3*K.1^8,3*K.1^4,0,0,1,1,0,0,0,0,0,0,K.1^8,-1*K.1^4,-1*K.1^4,K.1^8,0,0,0,1,0,0,0,0,-1*K.1^4,K.1^8,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,18,18*K.1^8,-18*K.1^4,0,0,0,-3,0,3*K.1^4,-3*K.1^8,0,-3,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2*K.1^4,-2*K.1^8,0,0,0,0,0,0,1,0,0,0,0,K.1^8,-1*K.1^4,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,0,0,0,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,18,0,-2,-2,0,18,-18*K.1^4,18*K.1^8,18,18*K.1^8,-18*K.1^4,0,0,0,0,-3,0,0,0,-3,0,0,-3*K.1^8,3*K.1^4,0,0,-3,0,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,18*K.1^8,-18*K.1^4,0,-2*K.1^8,2*K.1^4,0,0,-2,0,0,0,0,0,2*K.1^4,-2*K.1^8,0,0,0,0,-3,0,1,0,-2,0,0,-2*K.1^8,2*K.1^4,0,0,3*K.1^4,-3*K.1^8,0,0,1,1,0,0,0,0,0,0,-1*K.1^4,K.1^8,K.1^8,-1*K.1^4,0,0,0,1,0,0,0,0,K.1^8,-1*K.1^4,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,18,-18*K.1^4,18*K.1^8,0,0,0,-3,0,-3*K.1^8,3*K.1^4,0,-3,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^8,2*K.1^4,0,0,0,0,0,0,1,0,0,0,0,-1*K.1^4,K.1^8,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7,0,0,0,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |18,18,0,-2,-2,0,18,18*K.1^8,-18*K.1^4,18,-18*K.1^4,18*K.1^8,0,0,0,0,-3,0,0,0,-3,0,0,3*K.1^4,-3*K.1^8,0,0,-3,0,-3*K.1^8,3*K.1^4,0,0,0,0,0,0,0,-18*K.1^4,18*K.1^8,0,2*K.1^4,-2*K.1^8,0,0,-2,0,0,0,0,0,-2*K.1^8,2*K.1^4,0,0,0,0,-3,0,1,0,-2,0,0,2*K.1^4,-2*K.1^8,0,0,-3*K.1^8,3*K.1^4,0,0,1,1,0,0,0,0,0,0,K.1^8,-1*K.1^4,-1*K.1^4,K.1^8,0,0,0,1,0,0,0,0,-1*K.1^4,K.1^8,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,18,18*K.1^8,-18*K.1^4,0,0,0,-3,0,3*K.1^4,-3*K.1^8,0,-3,3*K.1^4,-3*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2*K.1^4,-2*K.1^8,0,0,0,0,0,0,1,0,0,0,0,K.1^8,-1*K.1^4,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7,0,0,0,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[24, 0, 6, 8, 0, 2, 24, 24, 24, -3, -3, -3, 24, 6, -3, 6, 6, -3, -3, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 8, 8, 6, 6, 0, -3, 0, 0, -3, -3, 0, 0, 2, 2, 0, 6, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, 0, 0, -3, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 24, 2, 0, 0, 2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, -3, 6, 0, 0, -3, 6, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 24, 24, 2, 0, 0, 2, 2, 0, 2, -3, -3, 2, 2, 0, 0, 2, 2, -3, -1, 0, -3, 0, -1, 0, 6, 2, 0, 0, 2, 2, 0, 0, -1, -1, 0, 0, -1, 2, -1, -1, 2, -1, 0, 0, 0, 0, 2, 2, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 24, 2, 0, 0, 2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, 6, -3, 0, 0, -3, -3, 0, 6, 0, 0, -3, 0, 0, 0, 0, 0, 0, 24, 24, 2, 0, 0, 2, 2, 0, 2, -3, -3, 2, 2, 0, 0, 2, 2, -3, -1, 0, 6, 0, -1, 0, -3, 2, 0, 0, 2, 2, 0, 0, -1, -1, 0, 0, 2, -1, 2, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 0, -6, -8, 0, 2, 24, 24, 24, -3, -3, -3, 24, 6, -3, 6, 6, -3, -3, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, -6, -8, -8, -6, -6, 0, 3, 0, 0, 3, 3, 0, 0, 2, 2, 0, -6, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, -1, 0, 0, 3, 0, 0, -2, 0, 2, 2, 2, 0, 2, -2, -2, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 0, -6, 8, 0, -2, 24, 24, 24, -3, -3, -3, 24, 6, -3, 6, 6, -3, -3, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, -6, 8, 8, -6, -6, 0, 3, 0, 0, 3, 3, 0, 0, -2, -2, 0, -6, 0, 0, 0, 0, -1, 0, 1, -1, -1, 1, 1, 0, 0, 3, 0, 0, 2, 0, -2, -2, -2, 0, -2, 2, 2, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 0, 6, -8, 0, -2, 24, 24, 24, -3, -3, -3, 24, 6, -3, 6, 6, -3, -3, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, -8, -8, 6, 6, 0, -3, 0, 0, -3, -3, 0, 0, -2, -2, 0, 6, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, -3, 0, 0, -2, 0, -2, -2, -2, 0, -2, -2, -2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, -24, -2, 0, 0, 2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, -3, 6, 0, 0, -3, 6, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, -24, -24, -2, 0, 0, -2, -2, 0, -2, 3, 3, -2, -2, 0, 0, 2, 2, 3, 1, 0, 3, 0, 1, 0, -6, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, -1, -1, -2, -1, 0, 0, 0, 0, -2, 2, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, -24, -2, 0, 0, 2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, 6, -3, 0, 0, -3, -3, 0, 6, 0, 0, -3, 0, 0, 0, 0, 0, 0, -24, -24, -2, 0, 0, -2, -2, 0, -2, 3, 3, -2, -2, 0, 0, 2, 2, 3, 1, 0, -6, 0, 1, 0, 3, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, -2, -1, 2, -1, 1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, -24, 2, 0, 0, -2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, -3, 6, 0, 0, -3, 6, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, -24, -24, 2, 0, 0, 2, 2, 0, 2, 3, 3, 2, 2, 0, 0, -2, -2, 3, -1, 0, 3, 0, -1, 0, -6, -2, 0, 0, -2, -2, 0, 0, -1, -1, 0, 0, -1, -2, 1, 1, 2, 1, 0, 0, 0, 0, 2, -2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, -24, 2, 0, 0, -2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, 6, -3, 0, 0, -3, -3, 0, 6, 0, 0, -3, 0, 0, 0, 0, 0, 0, -24, -24, 2, 0, 0, 2, 2, 0, 2, 3, 3, 2, 2, 0, 0, -2, -2, 3, -1, 0, -6, 0, -1, 0, 3, -2, 0, 0, -2, -2, 0, 0, -1, -1, 0, 0, 2, 1, -2, 1, -1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 24, -2, 0, 0, -2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, -3, 6, 0, 0, -3, 6, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 24, 24, -2, 0, 0, -2, -2, 0, -2, -3, -3, -2, -2, 0, 0, -2, -2, -3, 1, 0, -3, 0, 1, 0, 6, -2, 0, 0, -2, -2, 0, 0, 1, 1, 0, 0, 1, -2, 1, 1, -2, 1, 0, 0, 0, 0, -2, -2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 24, -2, 0, 0, -2, 24, 24, 24, 24, 24, 24, -3, -3, -3, -3, 0, -3, -3, -3, 0, 6, -3, 0, 0, -3, -3, 0, 6, 0, 0, -3, 0, 0, 0, 0, 0, 0, 24, 24, -2, 0, 0, -2, -2, 0, -2, -3, -3, -2, -2, 0, 0, -2, -2, -3, 1, 0, 6, 0, 1, 0, -3, -2, 0, 0, -2, -2, 0, 0, 1, 1, 0, 0, -2, 1, -2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 24, 24, 24, -3, -3, -3, 0, -3, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,27,3,3,3,3,27,27*K.1^-1,27*K.1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,27*K.1,27*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3,0,0,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,3,0,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,27,3,3,3,3,27,27*K.1,27*K.1^-1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,27*K.1^-1,27*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3,0,0,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,3,0,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,-27,-3,-3,3,3,27,27*K.1^-1,27*K.1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-27*K.1,-27*K.1^-1,-3,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,3,-3,0,0,-3*K.1^-1,-3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,-3,0,3,-3*K.1,-3*K.1^-1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1,-1*K.1^-1,K.1,K.1^-1,3,3*K.1,3*K.1^-1,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,1,1,K.1,K.1^-1,K.1,K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,-1,-1*K.1^-1,-1*K.1,1,1,K.1,K.1^-1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,-27,-3,-3,3,3,27,27*K.1,27*K.1^-1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-27*K.1^-1,-27*K.1,-3,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,3,-3,0,0,-3*K.1,-3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,-3,0,3,-3*K.1^-1,-3*K.1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1^-1,-1*K.1,K.1^-1,K.1,3,3*K.1^-1,3*K.1,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,1,1,K.1^-1,K.1,K.1^-1,K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1,-1*K.1,-1*K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,-27,3,-3,3,-3,27,27*K.1^-1,27*K.1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-27*K.1,-27*K.1^-1,3,-3*K.1,-3*K.1^-1,3*K.1^-1,3*K.1,3,3,0,0,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,-3,0,-3,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1,-1*K.1^-1,K.1,K.1^-1,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^-1,K.1,-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,-27,3,-3,3,-3,27,27*K.1,27*K.1^-1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-27*K.1^-1,-27*K.1,3,-3*K.1^-1,-3*K.1,3*K.1,3*K.1^-1,3,3,0,0,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,-3,0,-3,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1^-1,-1*K.1,K.1^-1,K.1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1,K.1^-1,-1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,27,-3,3,3,-3,27,27*K.1^-1,27*K.1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,27*K.1,27*K.1^-1,-3,3*K.1,3*K.1^-1,-3*K.1^-1,-3*K.1,3,-3,0,0,-3*K.1^-1,-3*K.1,3*K.1^-1,3*K.1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,3,0,-3,3*K.1,3*K.1^-1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,3,3*K.1,3*K.1^-1,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,1,1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,-1,-1*K.1^-1,-1*K.1,1,1,K.1,K.1^-1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |27,27,-3,3,3,-3,27,27*K.1,27*K.1^-1,27,27*K.1^-1,27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,27*K.1^-1,27*K.1,-3,3*K.1^-1,3*K.1,-3*K.1,-3*K.1^-1,3,-3,0,0,-3*K.1,-3*K.1^-1,3*K.1,3*K.1^-1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,3,0,-3,3*K.1^-1,3*K.1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,27,27*K.1,27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,3,3*K.1^-1,3*K.1,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,1,1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,-1,-1*K.1,-1*K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[32, 0, 0, 0, 0, 0, 32, 32, 32, 32, 32, 32, -4, -4, -4, -4, 8, -4, -4, 14, 8, -4, -4, 8, 8, 14, -4, 8, -4, 8, 8, 2, -4, -4, -4, 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, -16, -16, -16, 2, 2, 2, -4, 2, -4, -4, -7, -4, -4, -4, 2, 2, 2, -4, 2, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[32, 0, 0, 0, 0, 0, 32, 32, 32, 32, 32, 32, -4, 32, -4, 32, -4, 32, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 2, 2, -4, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, 2, 2, 2, 2, -16, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[32, 0, 0, 0, 0, 0, 32, 32, 32, 32, 32, 32, 32, -4, 32, -4, -4, -4, 32, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 2, -4, 2, 2, 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, -16, -16, -16, -16, -16, -16, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |32,0,0,0,0,0,32,32,32,32,32,32,-4,-4,-4,-4,-4,-4,-4,14,-4,-4,-4,-4,-4,14,-4,-4,-4,-4,-4,2,2,2,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-16,-16,-16,2,2,2,2,2,2,2,-7,2,2,2,2,-1,-1,2,-4-6*K.1,2+6*K.1,-1,2+3*K.1,-1-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |32,0,0,0,0,0,32,32,32,32,32,32,-4,-4,-4,-4,-4,-4,-4,14,-4,-4,-4,-4,-4,14,-4,-4,-4,-4,-4,2,2,2,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-16,-16,-16,2,2,2,2,2,2,2,-7,2,2,2,2,-1,-1,2,2+6*K.1,-4-6*K.1,-1,-1-3*K.1,2+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |36,0,0,0,4,0,36,36*K.1^-1,36*K.1,36,36*K.1,36*K.1^-1,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1,-6*K.1^-1,0,0,-6,0,-6*K.1^-1,-6*K.1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4*K.1^-1,4*K.1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-18,-18*K.1^-1,-18*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,4,4*K.1,4*K.1^-1,0,0,-2,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^-1,-2*K.1,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |36,0,0,0,4,0,36,36*K.1,36*K.1^-1,36,36*K.1^-1,36*K.1,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1^-1,-6*K.1,0,0,-6,0,-6*K.1,-6*K.1^-1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4*K.1,4*K.1^-1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-18,-18*K.1,-18*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,4,4*K.1^-1,4*K.1,0,0,-2,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1,-2*K.1^-1,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |36,-36,0,4,-4,0,36,36*K.1^-1,36*K.1,36,36*K.1,36*K.1^-1,0,0,0,0,3,0,0,0,3,0,0,3*K.1,3*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,-36*K.1,-36*K.1^-1,0,4*K.1,4*K.1^-1,0,0,-4,0,0,0,0,0,-4*K.1^-1,-4*K.1,0,0,0,0,-3,0,-1,0,4,0,0,4*K.1,4*K.1^-1,0,0,-3*K.1^-1,-3*K.1,0,0,-1,1,0,0,0,0,0,0,K.1^-1,K.1,-1*K.1,-1*K.1^-1,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,36,36*K.1^-1,36*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,-4*K.1,-4*K.1^-1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |36,-36,0,4,-4,0,36,36*K.1,36*K.1^-1,36,36*K.1^-1,36*K.1,0,0,0,0,3,0,0,0,3,0,0,3*K.1^-1,3*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,-36*K.1^-1,-36*K.1,0,4*K.1^-1,4*K.1,0,0,-4,0,0,0,0,0,-4*K.1,-4*K.1^-1,0,0,0,0,-3,0,-1,0,4,0,0,4*K.1^-1,4*K.1,0,0,-3*K.1,-3*K.1^-1,0,0,-1,1,0,0,0,0,0,0,K.1,K.1^-1,-1*K.1^-1,-1*K.1,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,36,36*K.1,36*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,-4*K.1^-1,-4*K.1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |36,36,0,-4,-4,0,36,36*K.1^-1,36*K.1,36,36*K.1,36*K.1^-1,0,0,0,0,3,0,0,0,3,0,0,3*K.1,3*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,36*K.1,36*K.1^-1,0,-4*K.1,-4*K.1^-1,0,0,-4,0,0,0,0,0,-4*K.1^-1,-4*K.1,0,0,0,0,3,0,-1,0,-4,0,0,-4*K.1,-4*K.1^-1,0,0,3*K.1^-1,3*K.1,0,0,-1,-1,0,0,0,0,0,0,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,36,36*K.1^-1,36*K.1,0,0,0,3,0,3*K.1,3*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,-4*K.1,-4*K.1^-1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |36,36,0,-4,-4,0,36,36*K.1,36*K.1^-1,36,36*K.1^-1,36*K.1,0,0,0,0,3,0,0,0,3,0,0,3*K.1^-1,3*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,36*K.1^-1,36*K.1,0,-4*K.1^-1,-4*K.1,0,0,-4,0,0,0,0,0,-4*K.1,-4*K.1^-1,0,0,0,0,3,0,-1,0,-4,0,0,-4*K.1^-1,-4*K.1,0,0,3*K.1,3*K.1^-1,0,0,-1,-1,0,0,0,0,0,0,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,36,36*K.1,36*K.1^-1,0,0,0,3,0,3*K.1^-1,3*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,-4*K.1^-1,-4*K.1,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |36,0,0,0,-4,0,36,-36*K.1^4,36*K.1^8,36,36*K.1^8,-36*K.1^4,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1^8,6*K.1^4,0,0,-6,0,6*K.1^4,-6*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,4*K.1^4,-4*K.1^8,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2*K.1^8,-2*K.1^4,0,0,0,0,0,0,0,0,0,0,2*K.1-2*K.1^3-2*K.1^5,-2*K.1+2*K.1^3+2*K.1^5,0,0,-18,18*K.1^4,-18*K.1^8,0,0,0,3,0,3*K.1^8,-3*K.1^4,0,3,3*K.1^8,-3*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2*K.1^8,-2*K.1^4,0,0,0,0,0,0,-1,0,0,0,0,K.1^4,-1*K.1^8,2*K.1-2*K.1^3-2*K.1^5,-2*K.1+2*K.1^3+2*K.1^5,-2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1+2*K.1^7,2*K.1^3+2*K.1^5-2*K.1^7,2*K.1-2*K.1^7,0,0,0,0,0,0,0,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7,K.1^3+K.1^5-K.1^7,K.1-K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |36,0,0,0,-4,0,36,36*K.1^8,-36*K.1^4,36,-36*K.1^4,36*K.1^8,0,0,0,0,-6,0,0,0,-6,0,0,6*K.1^4,-6*K.1^8,0,0,-6,0,-6*K.1^8,6*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,-4*K.1^8,4*K.1^4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,-2*K.1^4,2*K.1^8,0,0,0,0,0,0,0,0,0,0,-2*K.1+2*K.1^3+2*K.1^5,2*K.1-2*K.1^3-2*K.1^5,0,0,-18,-18*K.1^8,18*K.1^4,0,0,0,3,0,-3*K.1^4,3*K.1^8,0,3,-3*K.1^4,3*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-2*K.1^4,2*K.1^8,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1^8,K.1^4,-2*K.1+2*K.1^3+2*K.1^5,2*K.1-2*K.1^3-2*K.1^5,-2*K.1+2*K.1^7,-2*K.1^3-2*K.1^5+2*K.1^7,2*K.1-2*K.1^7,2*K.1^3+2*K.1^5-2*K.1^7,0,0,0,0,0,0,0,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7,K.1-K.1^7,K.1^3+K.1^5-K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |36,0,0,0,-4,0,36,-36*K.1^4,36*K.1^8,36,36*K.1^8,-36*K.1^4,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1^8,6*K.1^4,0,0,-6,0,6*K.1^4,-6*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,4*K.1^4,-4*K.1^8,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2*K.1^8,-2*K.1^4,0,0,0,0,0,0,0,0,0,0,-2*K.1+2*K.1^3+2*K.1^5,2*K.1-2*K.1^3-2*K.1^5,0,0,-18,18*K.1^4,-18*K.1^8,0,0,0,3,0,3*K.1^8,-3*K.1^4,0,3,3*K.1^8,-3*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2*K.1^8,-2*K.1^4,0,0,0,0,0,0,-1,0,0,0,0,K.1^4,-1*K.1^8,-2*K.1+2*K.1^3+2*K.1^5,2*K.1-2*K.1^3-2*K.1^5,2*K.1^3+2*K.1^5-2*K.1^7,2*K.1-2*K.1^7,-2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1+2*K.1^7,0,0,0,0,0,0,0,K.1-K.1^3-K.1^5,-1*K.1+K.1^3+K.1^5,K.1^3+K.1^5-K.1^7,K.1-K.1^7,-1*K.1^3-K.1^5+K.1^7,-1*K.1+K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(24: Sparse := true); S := [ K |36,0,0,0,-4,0,36,36*K.1^8,-36*K.1^4,36,-36*K.1^4,36*K.1^8,0,0,0,0,-6,0,0,0,-6,0,0,6*K.1^4,-6*K.1^8,0,0,-6,0,-6*K.1^8,6*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,-4*K.1^8,4*K.1^4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,-2*K.1^4,2*K.1^8,0,0,0,0,0,0,0,0,0,0,2*K.1-2*K.1^3-2*K.1^5,-2*K.1+2*K.1^3+2*K.1^5,0,0,-18,-18*K.1^8,18*K.1^4,0,0,0,3,0,-3*K.1^4,3*K.1^8,0,3,-3*K.1^4,3*K.1^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-2*K.1^4,2*K.1^8,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1^8,K.1^4,2*K.1-2*K.1^3-2*K.1^5,-2*K.1+2*K.1^3+2*K.1^5,2*K.1-2*K.1^7,2*K.1^3+2*K.1^5-2*K.1^7,-2*K.1+2*K.1^7,-2*K.1^3-2*K.1^5+2*K.1^7,0,0,0,0,0,0,0,-1*K.1+K.1^3+K.1^5,K.1-K.1^3-K.1^5,K.1-K.1^7,K.1^3+K.1^5-K.1^7,-1*K.1+K.1^7,-1*K.1^3-K.1^5+K.1^7]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, 4, 48, 48, 48, -6, -6, -6, -6, 12, 21, 12, 12, -6, -6, 12, 12, -6, -6, 12, 12, -6, 3, -6, 3, -6, -6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 4, 0, -2, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, 4, 48, 48, 48, -6, -6, -6, -6, -6, 21, -6, 0, 3, -6, -6, 0, -6, 12, 0, 0, 3, -6, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 0, -2, 0, 0, 0, 0, 0, -2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -3, -3, -3, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, 4, 48, 48, 48, -6, -6, -6, -6, -6, 21, -6, 0, 3, -6, -6, 0, 12, -6, 0, 0, 3, 3, 0, -6, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, 0, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -3, -3, -3, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, 4, 48, 48, 48, -6, -6, -6, 48, -6, -6, -6, 0, 3, -6, -6, 0, -6, -6, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -3, -3, -3, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 16, 0, 0, 48, 48, 48, -6, -6, -6, 48, 12, -6, 12, -6, -6, -6, 12, -6, 12, 12, -6, -6, -6, -6, 3, -6, 3, 3, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 4, 0, 0, 0, 48, 48, 48, 48, 48, 48, -6, -6, -6, -6, 0, -6, -6, -6, 0, -6, 12, 0, 0, -6, 12, 0, -6, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 4, 0, 0, 0, 48, 48, 48, 48, 48, 48, -6, -6, -6, -6, 0, -6, -6, -6, 0, 12, -6, 0, 0, -6, -6, 0, 12, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, -4, 48, 48, 48, -6, -6, -6, -6, 12, 21, 12, 12, -6, -6, 12, 12, -6, -6, 12, 12, -6, 3, -6, 3, -6, -6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, 0, 2, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, -4, 0, 0, 0, 48, 48, 48, 48, 48, 48, -6, -6, -6, -6, 0, -6, -6, -6, 0, -6, 12, 0, 0, -6, 12, 0, -6, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, -4, 0, 0, 0, 48, 48, 48, 48, 48, 48, -6, -6, -6, -6, 0, -6, -6, -6, 0, 12, -6, 0, 0, -6, -6, 0, 12, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, -24, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, -16, 0, 0, 48, 48, 48, -6, -6, -6, 48, 12, -6, 12, -6, -6, -6, 12, -6, 12, 12, -6, -6, -6, -6, 3, -6, 3, 3, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, -4, 48, 48, 48, -6, -6, -6, -6, -6, 21, -6, 0, 3, -6, -6, 0, -6, 12, 0, 0, 3, -6, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -3, -3, -3, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, -4, 48, 48, 48, -6, -6, -6, -6, -6, 21, -6, 0, 3, -6, -6, 0, 12, -6, 0, 0, 3, 3, 0, -6, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -3, -3, -3, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[48, 0, 0, 0, 0, -4, 48, 48, 48, -6, -6, -6, 48, -6, -6, -6, 0, 3, -6, -6, 0, -6, -6, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, -4, 0, 0, 0, 0, 0, -1, -1, 0, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, -3, -3, -3, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[54, 0, 18, 0, 6, 0, -27, 0, 0, 0, 0, 0, 0, 18, 0, -9, 18, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 6, 0, 0, 0, -9, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[54, 0, -18, 0, 6, 0, -27, 0, 0, 0, 0, 0, 0, 18, 0, -9, 18, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 6, 0, 0, 0, 9, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |54,0,6,0,6,0,54,54*K.1^-1,54*K.1,54,54*K.1,54*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,6,0,0,6*K.1^-1,6*K.1,6,6,0,0,6*K.1^-1,6*K.1,6*K.1^-1,6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-27,-27*K.1^-1,-27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1,-2*K.1^-1,0,0,-3,-3*K.1,-3*K.1^-1,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,0,0,0,0,1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |54,0,6,0,6,0,54,54*K.1,54*K.1^-1,54,54*K.1^-1,54*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,6,0,0,6*K.1,6*K.1^-1,6,6,0,0,6*K.1,6*K.1^-1,6*K.1,6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-27,-27*K.1,-27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^-1,-2*K.1,0,0,-3,-3*K.1^-1,-3*K.1,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,0,0,0,0,1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |54,0,-6,0,6,0,54,54*K.1^-1,54*K.1,54,54*K.1,54*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,-6,0,0,-6*K.1^-1,-6*K.1,6,-6,0,0,-6*K.1^-1,-6*K.1,6*K.1^-1,6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-27,-27*K.1^-1,-27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1,-2*K.1^-1,0,0,-3,-3*K.1,-3*K.1^-1,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,2,2,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,1,K.1^-1,K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |54,0,-6,0,6,0,54,54*K.1,54*K.1^-1,54,54*K.1^-1,54*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,-6,0,0,-6*K.1,-6*K.1^-1,6,-6,0,0,-6*K.1,-6*K.1^-1,6*K.1,6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-27,-27*K.1,-27*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2*K.1^-1,-2*K.1,0,0,-3,-3*K.1^-1,-3*K.1,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,2,2,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,0,0,0,0,1,K.1,K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,6,8,0,6,72,72*K.1^-1,72*K.1,-9,-9*K.1,-9*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,-3,0,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,6,8*K.1,8*K.1^-1,6*K.1^-1,6*K.1,0,-3,0,0,-3*K.1^-1,-3*K.1,0,0,6*K.1^-1,6*K.1,0,0,0,0,0,0,-1,0,-3,-1*K.1,-1*K.1^-1,-3*K.1^-1,-3*K.1,0,0,0,0,0,2,0,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,9,9*K.1^-1,9*K.1,6,0,6*K.1,6*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,6,8,0,6,72,72*K.1,72*K.1^-1,-9,-9*K.1^-1,-9*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,-3,0,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,6,8*K.1^-1,8*K.1,6*K.1,6*K.1^-1,0,-3,0,0,-3*K.1,-3*K.1^-1,0,0,6*K.1,6*K.1^-1,0,0,0,0,0,0,-1,0,-3,-1*K.1^-1,-1*K.1,-3*K.1,-3*K.1^-1,0,0,0,0,0,2,0,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,9,9*K.1,9*K.1^-1,6,0,6*K.1^-1,6*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,-6,-8,0,6,72,72*K.1^-1,72*K.1,-9,-9*K.1,-9*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,-3,0,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,-6,-8*K.1,-8*K.1^-1,-6*K.1^-1,-6*K.1,0,3,0,0,3*K.1^-1,3*K.1,0,0,6*K.1^-1,6*K.1,0,0,0,0,0,0,1,0,-3,K.1,K.1^-1,-3*K.1^-1,-3*K.1,0,0,0,0,0,-2,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,0,0,0,9,9*K.1^-1,9*K.1,6,0,6*K.1,6*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,-6,-8,0,6,72,72*K.1,72*K.1^-1,-9,-9*K.1^-1,-9*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,-3,0,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,-6,-8*K.1^-1,-8*K.1,-6*K.1,-6*K.1^-1,0,3,0,0,3*K.1,3*K.1^-1,0,0,6*K.1,6*K.1^-1,0,0,0,0,0,0,1,0,-3,K.1^-1,K.1,-3*K.1,-3*K.1^-1,0,0,0,0,0,-2,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,0,0,0,9,9*K.1,9*K.1^-1,6,0,6*K.1^-1,6*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,-6,8,0,-6,72,72*K.1^-1,72*K.1,-9,-9*K.1,-9*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,-3,0,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,-6,8*K.1,8*K.1^-1,-6*K.1^-1,-6*K.1,0,3,0,0,3*K.1^-1,3*K.1,0,0,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,-1,0,3,-1*K.1,-1*K.1^-1,3*K.1^-1,3*K.1,0,0,0,0,0,2,0,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,9,9*K.1^-1,9*K.1,6,0,6*K.1,6*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,-6,8,0,-6,72,72*K.1,72*K.1^-1,-9,-9*K.1^-1,-9*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,-3,0,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,-6,8*K.1^-1,8*K.1,-6*K.1,-6*K.1^-1,0,3,0,0,3*K.1,3*K.1^-1,0,0,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,-1,0,3,-1*K.1^-1,-1*K.1,3*K.1,3*K.1^-1,0,0,0,0,0,2,0,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,9,9*K.1,9*K.1^-1,6,0,6*K.1^-1,6*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,0,0,-8,0,72,72*K.1^-1,72*K.1,72,72*K.1,72*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,6,0,6*K.1^-1,6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-8,0,0,0,0,0,-8*K.1^-1,-8*K.1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-36,-36*K.1^-1,-36*K.1,0,0,0,-3,0,-3*K.1,-3*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4*K.1,4*K.1^-1,0,0,0,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,0,0,-8,0,72,72*K.1,72*K.1^-1,72,72*K.1^-1,72*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,6,0,6*K.1,6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-8,0,0,0,0,0,-8*K.1,-8*K.1^-1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-36,-36*K.1,-36*K.1^-1,0,0,0,-3,0,-3*K.1^-1,-3*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4*K.1^-1,4*K.1,0,0,0,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,6,-8,0,-6,72,72*K.1^-1,72*K.1,-9,-9*K.1,-9*K.1^-1,0,0,0,0,6,0,0,0,6,0,0,6*K.1,6*K.1^-1,0,0,-3,0,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,6,-8*K.1,-8*K.1^-1,6*K.1^-1,6*K.1,0,-3,0,0,-3*K.1^-1,-3*K.1,0,0,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,1,0,3,K.1,K.1^-1,3*K.1^-1,3*K.1,0,0,0,0,0,-2,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,0,0,0,9,9*K.1^-1,9*K.1,6,0,6*K.1,6*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |72,0,6,-8,0,-6,72,72*K.1,72*K.1^-1,-9,-9*K.1^-1,-9*K.1,0,0,0,0,6,0,0,0,6,0,0,6*K.1^-1,6*K.1,0,0,-3,0,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,6,-8*K.1^-1,-8*K.1,6*K.1,6*K.1^-1,0,-3,0,0,-3*K.1,-3*K.1^-1,0,0,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,1,0,3,K.1^-1,K.1,3*K.1,3*K.1^-1,0,0,0,0,0,-2,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,0,0,0,9,9*K.1,9*K.1^-1,6,0,6*K.1^-1,6*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[96, 0, 0, 0, 0, 0, 96, 96, 96, -12, -12, -12, -12, -12, 42, -12, 0, 6, -12, -12, 0, -12, 24, 0, 0, 6, -12, 0, 6, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, -6, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[96, 0, 0, 0, 0, 0, 96, 96, 96, -12, -12, -12, -12, -12, 42, -12, 0, 6, -12, -12, 0, 24, -12, 0, 0, 6, 6, 0, -12, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, -6, 0, 3, 3, 3, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[96, 0, 0, 0, 0, 0, 96, 96, 96, -12, -12, -12, -12, 24, 42, 24, -12, -12, -12, 24, -12, -12, -12, -12, -12, -12, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[96, 0, 0, 0, 0, 0, 96, 96, 96, -12, -12, -12, 96, -12, -12, -12, 0, 6, -12, -12, 0, -12, -12, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, -6, 0, 3, 3, 3, 0, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[108, 0, 0, 0, 12, 0, -54, 0, 0, 0, 0, 0, 0, 36, 0, -18, -18, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |108,0,0,0,-12,0,-54,0,0,0,0,0,0,36,0,-18,-18,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6*K.1-6*K.1^3,6*K.1+6*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1+3*K.1^3,-3*K.1-3*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(8: Sparse := true); S := [ K |108,0,0,0,-12,0,-54,0,0,0,0,0,0,36,0,-18,-18,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6*K.1+6*K.1^3,-6*K.1-6*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3*K.1-3*K.1^3,3*K.1+3*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[144, 0, 12, 0, 0, 0, 144, 144, 144, -18, -18, -18, -18, 36, -18, 36, 0, -18, 9, -18, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 12, 12, 0, -6, 0, 0, -6, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[144, 0, -12, 0, 0, 0, 144, 144, 144, -18, -18, -18, -18, 36, -18, 36, 0, -18, 9, -18, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, -12, -12, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,0,16,0,0,144,144*K.1^-1,144*K.1,-18,-18*K.1,-18*K.1^-1,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1,-6*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,16*K.1,16*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,1,0,0,0,0,K.1,K.1^-1,0,0,0,0,0,0,0,18,18*K.1^-1,18*K.1,-6,0,-6*K.1,-6*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,0,16,0,0,144,144*K.1,144*K.1^-1,-18,-18*K.1^-1,-18*K.1,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1^-1,-6*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,16*K.1^-1,16*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,1,0,0,0,0,K.1^-1,K.1,0,0,0,0,0,0,0,18,18*K.1,18*K.1^-1,-6,0,-6*K.1^-1,-6*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,12,0,0,0,144,144*K.1^-1,144*K.1,-18,-18*K.1,-18*K.1^-1,0,0,0,0,12,0,0,0,12,0,0,12*K.1,12*K.1^-1,0,0,-6,0,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,0,0,0,12,0,0,12*K.1^-1,12*K.1,0,-6,0,0,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-9,-9*K.1^-1,-9*K.1,-6,0,-6*K.1,-6*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,12,0,0,0,144,144*K.1,144*K.1^-1,-18,-18*K.1^-1,-18*K.1,0,0,0,0,12,0,0,0,12,0,0,12*K.1^-1,12*K.1,0,0,-6,0,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,0,0,0,12,0,0,12*K.1,12*K.1^-1,0,-6,0,0,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-9,-9*K.1,-9*K.1^-1,-6,0,-6*K.1^-1,-6*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,-12,0,0,0,144,144*K.1^-1,144*K.1,-18,-18*K.1,-18*K.1^-1,0,0,0,0,12,0,0,0,12,0,0,12*K.1,12*K.1^-1,0,0,-6,0,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,0,0,0,-12,0,0,-12*K.1^-1,-12*K.1,0,6,0,0,6*K.1^-1,6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-9,-9*K.1^-1,-9*K.1,-6,0,-6*K.1,-6*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,-12,0,0,0,144,144*K.1,144*K.1^-1,-18,-18*K.1^-1,-18*K.1,0,0,0,0,12,0,0,0,12,0,0,12*K.1^-1,12*K.1,0,0,-6,0,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,0,0,0,-12,0,0,-12*K.1,-12*K.1^-1,0,6,0,0,6*K.1,6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-9,-9*K.1,-9*K.1^-1,-6,0,-6*K.1^-1,-6*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,0,-16,0,0,144,144*K.1^-1,144*K.1,-18,-18*K.1,-18*K.1^-1,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1,-6*K.1^-1,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,-16*K.1,-16*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,-1,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,18,18*K.1^-1,18*K.1,-6,0,-6*K.1,-6*K.1^-1,0,3,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |144,0,0,-16,0,0,144,144*K.1,144*K.1^-1,-18,-18*K.1^-1,-18*K.1,0,0,0,0,-6,0,0,0,-6,0,0,-6*K.1^-1,-6*K.1,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,-16*K.1^-1,-16*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,-1,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,18,18*K.1,18*K.1^-1,-6,0,-6*K.1^-1,-6*K.1,0,3,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[162, 0, 18, 0, 18, 0, -81, 0, 0, 0, 0, 0, 0, 54, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -9, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[162, 0, -18, 0, 18, 0, -81, 0, 0, 0, 0, 0, 0, 54, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 9, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[216, 0, 0, 0, -24, 0, -108, 0, 0, 0, 0, 0, 0, 72, 0, -36, 18, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[288, 0, 0, 0, 0, 0, 288, 288, 288, -36, -36, -36, -36, -36, -36, -36, 0, 18, 18, 18, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |288,0,0,0,0,0,288,288*K.1^-1,288*K.1,-36,-36*K.1,-36*K.1^-1,0,0,0,0,-12,0,0,0,-12,0,0,-12*K.1,-12*K.1^-1,0,0,6,0,6*K.1^-1,6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-18,-18*K.1^-1,-18*K.1,6,0,6*K.1,6*K.1^-1,0,-3,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |288,0,0,0,0,0,288,288*K.1,288*K.1^-1,-36,-36*K.1^-1,-36*K.1,0,0,0,0,-12,0,0,0,-12,0,0,-12*K.1^-1,-12*K.1,0,0,6,0,6*K.1,6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-18,-18*K.1,-18*K.1^-1,6,0,6*K.1^-1,6*K.1,0,-3,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[432, 0, 36, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, -18, 0, 9, 36, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[432, 0, -36, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, -18, 0, 9, 36, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[864, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, -36, 0, 18, -36, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; _ := CharacterTable(G : Check := 0); chartbl_1889568_pf:= KnownIrreducibles(CR);