local z, r, result;

result := rec();

result.comment := "L2(149) as 150 x 150 monomial matrices over Z(z74)\n";

# Change the value of r to any number between 1 and 36
# to get the complete set of inequivalent faithful irreducible 150-dimensional
# representations of L2(149)
r := 1;
z := E(74)^r;

result.symmetricforms := [ ]; 
result.antisymmetricforms := [ ]; 
result.hermitianforms := [ IdentityMat(150) ];
result.centralizeralgebra := [ IdentityMat(150) ];

result.generators := [
DiagonalMat([z^10,z^19,z^51,z^32,z^15,z^38,z^27,z^40,z^27,z^5,z,z^57,
  z^60,z^50,z^69,z^24,z^21,z^62,-1,z^5,z^64,z^68,z^22,z^23,z^23,z^67,
  z^44,z^51,z^59,z^7,z^41,z^38,z^61,z^56,z^72,z^9,z^71,z^54,z^58,z^34,
  z^36,z,z^52,z^43,z^35,z^57,z^12,z^11,z^9,z^54,z^49,z^63,z^20,z^44,
  z^2,z^4,z^48,z^28,-1,z^33,z^50,z^53,1,z^12,z^72,z^8,z^58,1,z^18,
  z^59,z^53,z^3,z^65,z^25,z^30,z^66,z^2,z^35,z^6,z^26,z^46,z^14,z^61,
  z^33,z^42,z^6,z^36,z^42,z^15,z^45,z^66,z^47,z^39,z^40,z^46,z^30,
  z^21,z^67,z^29,z^62,z^13,z^73,z^55,z^70,z^31,z^45,z^19,z^73,z^11,
  z^30,z^10,z^71,z^16,z^41,z^26,z^64,z^48,z^65,z^4,z^52,z^18,z^55,
  z^8,z^16,z^31,z^24,z^22,z^29,z^47,z^25,z^68,z^20,z^13,z^56,z^17,
  z^7,z^34,z^60,z^17,z^70,z^49,z^3,z^43,z^32,z^69,z^63,z^28,z^39,z^14,
  z^44]) *
PermutationMat(
(  1,116)(  2,103)(  3, 24)(  4, 85)(  5, 29)(  6, 41)(  7,129)(  8,137)
(  9, 92)( 10, 15)( 11,102)( 12,135)( 13,149)( 14,126)( 16, 61)( 17, 62)
( 18, 47)( 20,145)( 21,111)( 22, 86)( 23, 43)( 25, 28)( 26, 30)( 27, 96)
( 31, 60)( 32, 87)( 33,133)( 34,121)( 35, 55)( 36,118)( 37, 72)( 38,132)
( 39,113)( 40, 94)( 42,108)( 44,105)( 45, 93)( 46,139)( 48, 52)( 49, 73)
( 50, 53)( 51,130)( 54, 75)( 56,140)( 57,115)( 58, 81)( 63, 68)( 64,100)
( 65, 77)( 66, 91)( 67,124)( 69,134)( 70, 89)( 71, 97)( 74,141)( 76,123)
( 78,148)( 79,131)( 80,117)( 82,138)( 83,101)( 84,114)( 88,144)( 90,128)
( 95,147)( 98,136)( 99,106)(104,119)(107,122)(109,146)(110,150)(112,142)
(120,127)(125,143), 150)
,
DiagonalMat([z^3,z^58,z^18,z^23,z^59,z^69,z^28,z^73,z^19,z^39,z^7,
  z^54,z^26,z^35,z^73,z^29,z^35,z^8,z^38,z^59,z^40,z^32,z^33,z^39,
  z^23,z^14,z^60,z^22,z^55,z^6,z^66,z^48,z^63,z^24,z^38,z^12,z^66,
  z^4,z^34,z^3,z^64,z^9,z^34,z^19,z^57,z^41,z^58,z^71,z^45,z^11,z^48,
  z,z^9,z^24,z^17,z^15,z^22,z^40,z^18,z^61,z^13,z^6,z^49,z^10,1,z^27,
  z^53,z^10,z^63,z^42,z^70,z^36,z^25,z^62,z^56,z^21,z^32,z^7,z^12,
  z^44,z^25,z^8,z^31,z^20,z^33,z^20,z^72,z^68,z^50,z^53,z^43,z^62,
  z^17,z^14,z^55,z^30,z^72,z^57,z^61,z^15,z^16,z^16,z^60,-1,z^44,z^52,
  1,z^34,z^31,z^54,z^49,z^65,z^2,z^64,z^47,z^51,z^27,z^29,z^68,z^45,
  z^36,z^28,z^50,z^5,z^4,z^2,z^47,z^42,z^56,z^13,-1,z^69,z^71,z^41,
  z^21,z^30,z^26,z^43,z^46,z^67,z^5,z^65,z,z^51,z^67,z^11,z^52,z^46,
  z^70,z^40]) *
PermutationMat(
(  1, 51, 25)(  2,  6,135)(  3,108, 57)(  4, 66, 34)(  5, 72, 67)(  7,113, 80)
(  8, 92, 61)(  9, 37, 69)( 10,125, 83)( 11, 35,118)( 12, 17, 20)( 13, 91,124)
( 14,138, 71)( 15,143,107)( 16, 74, 45)( 18, 85, 23)( 19,100, 76)( 21, 53, 81)
( 22,145,111)( 24, 86, 56)( 26, 62,110)( 27, 47, 96)( 28, 64,128)( 29,146, 82)
( 30,112, 40)( 31,134, 46)( 32,132,109)( 33,130, 87)( 36, 52, 99)( 38, 54,139)
( 39,150, 65)( 41, 98,117)( 42,119, 48)( 43, 63,142)( 44,104, 59)( 49,121,140)
( 50,126, 60)( 55, 79,120)( 58,129,106)( 68,127, 93)( 70, 73, 78)( 75,131, 95)
( 77,114,147)( 84, 88,103)( 89,115,116)( 90,141,102)( 94,105,101)( 97,148,136)
(122,123,149)(133,144,137), 150)];

return result;