local z, r, result; result := rec(); result.comment := "2.L2(211) as 212 x 212 monomial matrices over Z(z210)\n"; # Change the value of r to any number between 1 and 52 # to get the complete set of inequivalent faithful irreducible 212-dimensional # representations of 2.L2(211) r := 1; z := E(210)^(2*r-1); result.symmetricforms := [ ]; result.antisymmetricforms := [ ]; result.hermitianforms := [ IdentityMat(212) ]; result.centralizeralgebra := [ IdentityMat(212) ]; result.generators := [ DiagonalMat([z^99,z^142,z^37,z^115,z^103,z^68,z^44,z^61,z^64,z^25, z^152,z^76,z^63,z^7,z^51,z^70,z^187,z^92,z^145,z^87,z^49,z^113,z^167, z^148,z^176,z^155,z^191,z^139,z^208,z^121,z^62,z^30,z^200,z^209, z^9,z^153,z^27,z^90,z^199,z^138,z^173,z^58,z^100,z^69,z^204,z^161, z^65,z^29,z^89,z^189,z^125,z^40,-1,z^94,z^84,z^123,z^154,z^2,z^88, z^18,z^69,z^32,z^52,z^23,z^41,z^196,z^131,z^168,z^15,z^171,z^55, z^147,z^127,z^82,z^137,z^149,z^14,z^96,z^134,z^130,z^112,z^135,z^169, z^180,z^101,z^205,z^203,z^72,z^42,z^183,z^80,z^128,z^175,z^122,z^8, z^24,z^184,z^158,z^136,z^166,z^54,z^78,z^91,1,z^4,z^140,z^10,z^3, z^190,z^198,z^81,z^157,z^111,z^95,z^194,z^106,z^195,z^133,z^47,z^79, z^146,z^19,z^188,z^21,z^83,z^174,z^207,z^74,z^66,z^201,z^5,z^143, z^36,z^108,z^48,z^129,z^156,z^12,z^38,z^35,z^85,z^193,z^39,z^109, z^114,z^16,z^179,z^57,z^98,z^56,z^177,z^13,z^110,z^104,z^33,z^186, z^77,z^26,z^28,z,z^144,z^116,z^34,z^93,z^20,z^126,z^197,z^182,z^46, z^53,z^185,z^151,z^59,z^206,z^162,z^202,z^118,z^50,z^17,z^102,z^163, z^73,z^160,z^60,z^75,z^120,z^43,z^159,z^150,z^172,z^178,z^97,z^170, z^165,z^45,z^31,z^6,z^117,z^86,z^107,z^132,z^181,z^164,z^67,z^119, z^71,z^22,z^124,z^192,z^11,z^141,z^36]) * PermutationMat( ( 1,197)( 2, 41)( 3, 6)( 4, 33)( 5, 58)( 7, 8)( 9, 65)( 10, 91) ( 11,181)( 12, 48)( 13, 89)( 14,149)( 15,101)( 16,140)( 17, 92)( 18,152) ( 19,193)( 20, 60)( 21,150)( 22,176)( 23, 24)( 25, 28)( 26,183)( 27,208) ( 29,200)( 30,115)( 31,187)( 32,185)( 34,116)( 35, 78)( 36,175)( 37,102) ( 38, 69)( 39,162)( 40,151)( 42,119)( 43,131)( 44,212)( 45,113)( 46, 57) ( 47, 52)( 49,146)( 50,166)( 51,109)( 53,104)( 54,210)( 55,124)( 56,209) ( 59,179)( 61,133)( 62,182)( 63,170)( 64, 74)( 66,205)( 67, 97)( 68, 72) ( 70,161)( 71,178)( 73,123)( 75,191)( 76,100)( 77,103)( 79,202)( 80,171) ( 81, 87)( 82, 84)( 83,121)( 85,105)( 86,153)( 88,155)( 90,201)( 93,106) ( 94,142)( 95,192)( 96,111)( 98,112)( 99,147)(107,114)(108,180)(110,198) (117,186)(118,168)(120,158)(122,199)(125,207)(126,211)(127,134)(128,196) (129,143)(130,145)(132,190)(135,148)(136,156)(137,188)(138,164)(139,204) (141,165)(144,174)(154,160)(157,159)(163,206)(167,177)(169,173)(172,203) (184,195)(189,194), 212) , DiagonalMat([z^182,z^196,z^40,z^21,z^49,z^28,z^64,z^12,z^81,z^204, z^145,z^113,z^73,z^82,z^92,z^26,z^110,z^173,z^72,z^11,z^46,z^141, z^183,z^6,z^77,z^34,z^148,z^112,z^172,z^62,z^208,z^123,z^188,z^177, z^167,z^206,z^27,z^85,z^171,z^101,z^152,z^115,z^135,z^106,z^124, z^69,z^4,z^41,z^98,z^44,z^138,z^20,1,z^165,z^10,z^22,z^97,z^179, z^7,z^3,z^195,z^8,z^42,z^53,z^184,z^78,z^76,z^155,z^125,z^56,z^163, z,z^48,z^205,z^91,z^107,z^57,z^31,z^9,z^39,z^137,z^161,z^174,z^83, z^87,z^13,z^93,z^86,z^63,z^71,z^164,z^30,z^194,z^178,z^67,z^189, z^68,z^6,z^130,z^162,z^19,z^102,z^61,z^104,z^166,z^47,z^80,z^157, z^149,z^74,z^88,z^16,z^119,z^191,z^131,z^2,z^29,z^95,z^121,z^118, z^168,z^66,z^122,z^192,z^197,z^99,z^52,z^140,z^181,z^139,z^50,z^96, z^193,z^187,z^116,z^59,z^160,z^109,z^111,z^84,z^17,z^199,z^117,z^176, z^103,z^209,z^70,z^55,z^129,z^136,z^58,z^24,z^142,z^79,z^35,z^75, z^201,z^133,z^100,z^185,z^36,z^156,z^33,z^143,z^158,z^203,z^126, z^32,z^23,z^45,z^51,z^180,z^43,z^38,z^128,z^114,z^89,z^200,z^169, z^190,z^5,z^54,z^37,z^150,z^202,z^154,-1,z^207,z^65,z^94,z^14,z^15, z^120,z^198,z^186,z^151,z^127,z^144,z^147,z^108,z^25,z^159,z^146, z^90,z^134,z^153,z^60,z^175,z^18,z^170,z^132,z^99]) * PermutationMat( ( 1, 41, 88)( 2,182,210)( 3,162,191)( 4,136, 99)( 5, 32,174)( 6, 45,151) ( 7,173,145)( 8,184, 73)( 9, 87,161)( 10,170, 39)( 11,195,177)( 12, 21,171) ( 13, 14,148)( 15, 97,131)( 16,121,112)( 17,118,181)( 18, 71,140)( 19,165,180) ( 20, 59,124)( 22,150,164)( 23,201,116)( 24,212,187)( 25, 67, 77)( 26,105, 55) ( 27,146, 89)( 28,115, 34)( 29, 85, 82)( 30,199, 72)( 31,160, 37)( 33, 60,101) ( 35,203, 76)( 36,193,190)( 38,186,129)( 40,198,208)( 42,159, 74)( 43,111,125) ( 44, 53,104)( 46, 95,110)( 47,135,204)( 48, 94,157)( 49,163,154)( 50,144,178) ( 51, 52,127)( 54, 98, 80)( 56,114,188)( 57,202, 91)( 58,130,102)( 61,176,139) ( 62, 84,113)( 63, 65, 93)( 64,134,172)( 66,133,109)( 68,175, 81)( 69,117, 70) ( 75,197,185)( 78,200, 90)( 79,168,179)( 83,143,149)( 86,123,156)( 92,169,108) ( 96,107,196)(100,207,194)(103,141,211)(106,183,167)(119,152,189)(120,137,153) (122,138,155)(126,132,192)(142,209,166)(158,206,205), 212)]; return result;