local z, r, result; result := rec(); result.comment := "2.L2(101) as 102 x 102 monomial matrices over Z(z100)\n"; # Change the value of r to any number between 1 and 25 # to get the complete set of inequivalent faithful irreducible 102-dimensional # representations of 2.L2(101) r := 1; z := E(100)^(2*r-1); result.symmetricforms := [ ]; result.antisymmetricforms := [ ]; result.hermitianforms := [ IdentityMat(102) ]; result.centralizeralgebra := [ IdentityMat(102) ]; result.generators := [ DiagonalMat([z^33,-1,z^39,z^4,z^29,z^49,z^56,z^7,z^98,z^11,z^65,z^32, z^64,z^9,z^95,z^3,z^51,z^43,z^22,z^96,z^30,z^40,z^42,z^68,z^62,z^47, z^71,z^12,z^35,z^84,z^82,z^59,z^70,z^97,z^25,z^63,z^20,z^55,z^88, z^57,z^38,z^94,1,z^78,z^93,z^89,z^6,z^69,z^21,z^8,z^37,z^77,z^72, z^18,z^73,z^92,z^54,z^44,z^27,z^66,z^34,z^7,z^83,z^14,z^74,z^90, z^99,z^36,z^16,z^60,z^13,z^17,z^76,z^46,z^58,z^5,z^41,z^23,z^26, z^10,z^31,z^24,z^67,z^85,z^15,z^81,z^45,z^87,z^48,z^19,z^91,z^79, z,z^2,z^52,z^28,z^86,z^61,z^75,z^80,z^53,z^43]) * PermutationMat( ( 1, 72)( 2, 43)( 3, 10)( 4, 74)( 5, 49)( 6, 93)( 7, 42)( 8, 18) ( 9, 95)( 11, 84)( 12, 54)( 13, 97)( 14, 77)( 15, 38)( 16, 26)( 17, 67) ( 19, 96)( 20, 57)( 21, 37)( 22, 80)( 23, 50)( 24, 31)( 25, 39)( 27, 92) ( 28, 41)( 29, 85)( 30, 60)( 32, 91)( 33,100)( 34,101)( 36, 88)( 40, 45) ( 44, 53)( 46, 98)( 47, 58)( 48, 86)( 51, 71)( 52, 55)( 56, 75)( 59, 78) ( 61, 69)( 62,102)( 63, 83)( 64, 68)( 65, 73)( 66, 70)( 76, 87)( 79, 82) ( 81, 90)( 89, 94), 102) , DiagonalMat([z^44,z^56,z^94,z^25,z^85,z,z^10,z^47,z^27,z^71,z^24,z^28, z^87,z^57,z^69,z^16,z^52,z^34,z^37,z^21,z^42,z^35,z^78,z^96,z^26, z^92,z^56,z^98,z^59,z^30,z^2,z^90,z^12,z^13,z^63,z^39,z^97,z^72, z^86,z^91,z^64,z^61,-1,z^15,z^40,z^60,z^67,z^18,z^9,z^22,z^76,z^43, z^75,z^20,z^6,z^14,z^62,z^54,z^33,z^7,z^41,z^51,z^53,z^79,z^73,z^58, z^82,z^23,z^46,z^95,z^93,z^70,z^81,z^8,z^36,z^74,z^31,z^66,z^99, z^68,z^49,z^5,z^11,z^89,z^4,1,z^17,z^80,z^32,z^19,z^48,z^88,z^83, z^29,z^84,z^3,z^65,z^55,z^38,z^77,z^45,z^94]) * PermutationMat( ( 1, 49, 8)( 2,102, 43)( 3, 78, 45)( 4, 19, 99)( 5, 96, 33)( 6, 73, 48) ( 7, 14, 59)( 9, 82, 80)( 10, 95,101)( 11, 88, 24)( 12, 76, 28)( 13, 26, 20) ( 15, 91, 93)( 16, 94, 98)( 17, 77, 87)( 18, 55, 46)( 21, 22, 68)( 23, 75, 39) ( 25, 38, 31)( 27, 63, 40)( 29, 30, 83)( 32, 47, 52)( 34, 64, 74)( 35, 53, 57) ( 36, 58, 60)( 37, 44, 92)( 41, 50, 56)( 42, 71, 69)( 51, 85, 54)( 61, 84, 72) ( 62, 86, 81)( 65, 89, 70)( 66,100, 97)( 67, 90, 79), 102)]; return result;