# Character: X8
# Comment: perm rep on 253 pts (cosets of S4)
# Ind: 1
# Ring: C
# Sparsity: 80%
# Checker result: pass
# Conjugacy class representative result: pass

local a, A, b, B, c, C, w, W, i, result, delta, idmat;

result := rec();

w := E(3); W := E(3)^2;
a := E(5)+E(5)^4; A := -1-a; # b5, b5*
b := E(7)+E(7)^2+E(7)^4; B := -1-b;  # b7, b7**
c := E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9; C := -1-c; # b11, b11**
i := E(4);
result.comment := "L223 as 22 x 22 matrices\n";

result.generators := [
[[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-18514/7381*E(12)^4+13561/7381*E(12)^7-18514/7381*E(12)^8-13561/7381*E(12)^11,
  18514/7381*E(12)^4-13561/7381*E(12)^7+18514/7381*E(12)^8+13561/7381*E(12)^11,
  23008/7381*E(12)^4-33035/22143*E(12)^7+23008/7381*E(12)^8+33035/22143*E(12)^11,
  -10337/7381*E(12)^4+9543/7381*E(12)^7-10337/7381*E(12)^8-9543/7381*E(12)^11,
  -23008/7381*E(12)^4+33035/22143*E(12)^7-23008/7381*E(12)^8-33035/22143*E(12)^11,
  180/671*E(12)^4-69/671*E(12)^7+180/671*E(12)^8+69/671*E(12)^11,10337/7381*E(12)^4-9543/7381*E(12)^7+10337/7381*E(12)^8+9543/7381*E(12)^11,
  -8750/7381*E(12)^4+11069/22143*E(12)^7-8750/7381*E(12)^8-11069/22143*E(12)^11,
  10865/7381*E(12)^4-12998/22143*E(12)^7+10865/7381*E(12)^8+12998/22143*E(12)^11,
  -180/671*E(12)^4+69/671*E(12)^7-180/671*E(12)^8-69/671*E(12)^11,
  -834/7381*E(12)^4+4247/22143*E(12)^7-834/7381*E(12)^8-4247/22143*E(12)^11,
  8750/7381*E(12)^4-11069/22143*E(12)^7+8750/7381*E(12)^8+11069/22143*E(12)^11,
  -10865/7381*E(12)^4+12998/22143*E(12)^7-10865/7381*E(12)^8-12998/22143*E(12)^11,
  4369/7381*E(12)^4+1585/22143*E(12)^7+4369/7381*E(12)^8-1585/22143*E(12)^11,
  20954/7381*E(12)^4-25372/22143*E(12)^7+20954/7381*E(12)^8+25372/22143*E(12)^11,
  834/7381*E(12)^4-4247/22143*E(12)^7+834/7381*E(12)^8+4247/22143*E(12)^11,
  5018/7381*E(12)^4-3780/7381*E(12)^7+5018/7381*E(12)^8+3780/7381*E(12)^11,
  1,0,-4369/7381*E(12)^4-1585/22143*E(12)^7-4369/7381*E(12)^8+1585/22143*E(12)^11,
  -20954/7381*E(12)^4+25372/22143*E(12)^7-20954/7381*E(12)^8-25372/22143*E(12)^11,
  -5018/7381*E(12)^4+3780/7381*E(12)^7-5018/7381*E(12)^8-3780/7381*E(12)^11
  ],
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  -372/7381*E(12)^4-1451/22143*E(12)^7-372/7381*E(12)^8+1451/22143*E(12)^11,
  -2031/7381*E(12)^4-597/7381*E(12)^7-2031/7381*E(12)^8+597/7381*E(12)^11,
  372/7381*E(12)^4+1451/22143*E(12)^7+372/7381*E(12)^8-1451/22143*E(12)^11,
  900/671*E(12)^4-345/671*E(12)^7+900/671*E(12)^8+345/671*E(12)^11,
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  -3490/7381*E(12)^4+16427/22143*E(12)^7-3490/7381*E(12)^8-16427/22143*E(12)^11,
  -2710/7381*E(12)^4+6136/22143*E(12)^7-2710/7381*E(12)^8-6136/22143*E(12)^11,
  -900/671*E(12)^4+345/671*E(12)^7-900/671*E(12)^8-345/671*E(12)^11,
  1869/7381*E(12)^4-1579/22143*E(12)^7+1869/7381*E(12)^8+1579/22143*E(12)^11,
  3490/7381*E(12)^4-16427/22143*E(12)^7+3490/7381*E(12)^8+16427/22143*E(12)^11,
  2710/7381*E(12)^4-6136/22143*E(12)^7+2710/7381*E(12)^8+6136/22143*E(12)^11,
  5741/7381*E(12)^4-7508/22143*E(12)^7+5741/7381*E(12)^8+7508/22143*E(12)^11,
  2107/7381*E(12)^4-4738/22143*E(12)^7+2107/7381*E(12)^8+4738/22143*E(12)^11,
  -1869/7381*E(12)^4+1579/22143*E(12)^7-1869/7381*E(12)^8-1579/22143*E(12)^11,
  -5776/7381*E(12)^4+559/7381*E(12)^7-5776/7381*E(12)^8-559/7381*E(12)^11,
  0,1,-5741/7381*E(12)^4+7508/22143*E(12)^7-5741/7381*E(12)^8-7508/22143*E(12)^11,
  -2107/7381*E(12)^4+4738/22143*E(12)^7-2107/7381*E(12)^8-4738/22143*E(12)^11,
  5776/7381*E(12)^4-559/7381*E(12)^7+5776/7381*E(12)^8+559/7381*E(12)^11
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]]
,
[[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
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  -88829842/730719*E(12)^4-316883635/4384314*E(12)^7-88829842/730719*E(12)^8+316883635/4384314*E(12)^11,
  9472217/730719*E(12)^4+40361317/4384314*E(12)^7+9472217/730719*E(12)^8-40361317/4384314*E(12)^11,
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  9339125/132858*E(12)^4+16339721/398574*E(12)^7+9339125/132858*E(12)^8-16339721/398574*E(12)^11,
  117083207/487146*E(12)^4+301509155/2192157*E(12)^7+117083207/487146*E(12)^8-301509155/2192157*E(12)^11,
  157523/730719*E(12)^4+670319/1461438*E(12)^7+157523/730719*E(12)^8-670319/1461438*E(12)^11,
  133605029/1461438*E(12)^4+75485833/1461438*E(12)^7+133605029/1461438*E(12)^8-75485833/1461438*E(12)^11,
  1475791/66429*E(12)^4+4955135/398574*E(12)^7+1475791/66429*E(12)^8-4955135/398574*E(12)^11,
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  38663/198*E(12)^4+11218/99*E(12)^7+38663/198*E(12)^8-11218/99*E(12)^11,
  -3211/22*E(12)^4-16801/198*E(12)^7-3211/22*E(12)^8+16801/198*E(12)^11,
  -5519065/1461438*E(12)^4-9133213/4384314*E(12)^7-5519065/1461438*E(12)^8+9133213/4384314*E(12)^11,
  351311621/1461438*E(12)^4+617916349/4384314*E(12)^7+351311621/1461438*E(12)^8-617916349/4384314*E(12)^11,
  -70966799/1461438*E(12)^4-119324063/4384314*E(12)^7-70966799/1461438*E(12)^8+119324063/4384314*E(12)^11
  ],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[114181097/730719*E(12)^4+64423078/730719*E(12)^7+114181097/730719*E(12)^8-64423078/730719*E(12)^11,
  64803745/1461438*E(12)^4+4435601/162382*E(12)^7+64803745/1461438*E(12)^8-4435601/162382*E(12)^11,
  185968715/1461438*E(12)^4+108773221/1461438*E(12)^7+185968715/1461438*E(12)^8-108773221/1461438*E(12)^11,
  -22179821/1461438*E(12)^4-12762989/1461438*E(12)^7-22179821/1461438*E(12)^8+12762989/1461438*E(12)^11,
  -2718418/730719*E(12)^4-2664253/730719*E(12)^7-2718418/730719*E(12)^8+2664253/730719*E(12)^11,
  -4938647/66429*E(12)^4-2748953/66429*E(12)^7-4938647/66429*E(12)^8+2748953/66429*E(12)^11,
  -364997915/1461438*E(12)^4-23240991/162382*E(12)^7-364997915/1461438*E(12)^8+23240991/162382*E(12)^11,
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  ],
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  345096/7381*E(12)^4+5443544/199287*E(12)^7+345096/7381*E(12)^8-5443544/199287*E(12)^11
  ],
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  460619/243573*E(12)^4-1229330/730719*E(12)^7+460619/243573*E(12)^8+1229330/730719*E(12)^11,
  -15758/22143*E(12)^4+96830/66429*E(12)^7-15758/22143*E(12)^8-96830/66429*E(12)^11,
  586783/243573*E(12)^4+2064859/730719*E(12)^7+586783/243573*E(12)^8-2064859/730719*E(12)^11,
  491053/243573*E(12)^4-231304/243573*E(12)^7+491053/243573*E(12)^8+231304/243573*E(12)^11,
  234002/243573*E(12)^4+247432/243573*E(12)^7+234002/243573*E(12)^8-247432/243573*E(12)^11,
  28507/22143*E(12)^4-57241/66429*E(12)^7+28507/22143*E(12)^8+57241/66429*E(12)^11,
  -742745/243573*E(12)^4-285016/243573*E(12)^7-742745/243573*E(12)^8+285016/243573*E(12)^11,
  -367892/81191*E(12)^4-383714/730719*E(12)^7-367892/81191*E(12)^8+383714/730719*E(12)^11,
  229541/81191*E(12)^4+733904/730719*E(12)^7+229541/81191*E(12)^8-733904/730719*E(12)^11,
  -417739/243573*E(12)^4-87544/243573*E(12)^7-417739/243573*E(12)^8+87544/243573*E(12)^11,
  -513088/243573*E(12)^4+587161/243573*E(12)^7-513088/243573*E(12)^8-587161/243573*E(12)^11,
  -327500/243573*E(12)^4-1263299/730719*E(12)^7-327500/243573*E(12)^8+1263299/730719*E(12)^11,
  -272726/243573*E(12)^4-1012865/730719*E(12)^7-272726/243573*E(12)^8+1012865/730719*E(12)^11,
  80/33*E(12)^4+61/33*E(12)^7+80/33*E(12)^8-61/33*E(12)^11,-21/11*E(12)^4-49/33*E(12)^7-21/11*E(12)^8+49/33*E(12)^11,
  -69407/243573*E(12)^4-386896/730719*E(12)^7-69407/243573*E(12)^8+386896/730719*E(12)^11,
  508095/81191*E(12)^4+83767/730719*E(12)^7+508095/81191*E(12)^8-83767/730719*E(12)^11,
  -103705/243573*E(12)^4-190238/730719*E(12)^7-103705/243573*E(12)^8+190238/730719*E(12)^11
  ],
[-31677515/243573*E(12)^4-163651385/2192157*E(12)^7-31677515/243573*E(12)^8+163651385/2192157*E(12)^11,
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  8857253/730719*E(12)^4+16661842/2192157*E(12)^7+8857253/730719*E(12)^8-16661842/2192157*E(12)^11,
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  4058242/66429*E(12)^4+7095182/199287*E(12)^7+4058242/66429*E(12)^8-7095182/199287*E(12)^11,
  152764504/730719*E(12)^4+264325447/2192157*E(12)^7+152764504/730719*E(12)^8-264325447/2192157*E(12)^11,
  369112/730719*E(12)^4+62492/243573*E(12)^7+369112/730719*E(12)^8-62492/243573*E(12)^11,
  58060961/730719*E(12)^4+11035810/243573*E(12)^7+58060961/730719*E(12)^8-11035810/243573*E(12)^11,
  1274866/66429*E(12)^4+2236415/199287*E(12)^7+1274866/66429*E(12)^8-2236415/199287*E(12)^11,
  -113303294/730719*E(12)^4-21755246/243573*E(12)^7-113303294/730719*E(12)^8+21755246/243573*E(12)^11,
  -38361538/243573*E(12)^4-199842047/2192157*E(12)^7-38361538/243573*E(12)^8+199842047/2192157*E(12)^11,
  11557602/81191*E(12)^4+180269990/2192157*E(12)^7+11557602/81191*E(12)^8-180269990/2192157*E(12)^11,
  -73967404/730719*E(12)^4-42658340/730719*E(12)^7-73967404/730719*E(12)^8+42658340/730719*E(12)^11,
  40615055/730719*E(12)^4+23049350/730719*E(12)^7+40615055/730719*E(12)^8-23049350/730719*E(12)^11,
  -97926164/730719*E(12)^4-169466333/2192157*E(12)^7-97926164/730719*E(12)^8+169466333/2192157*E(12)^11,
  -65365382/730719*E(12)^4-112976399/2192157*E(12)^7-65365382/730719*E(12)^8+112976399/2192157*E(12)^11,
  16901/99*E(12)^4+9778/99*E(12)^7+16901/99*E(12)^8-9778/99*E(12)^11,
  -4204/33*E(12)^4-7294/99*E(12)^7-4204/33*E(12)^8+7294/99*E(12)^11,
  -2270945/730719*E(12)^4-3960355/2192157*E(12)^7-2270945/730719*E(12)^8+3960355/2192157*E(12)^11,
  51552227/243573*E(12)^4+268650796/2192157*E(12)^7+51552227/243573*E(12)^8-268650796/2192157*E(12)^11,
  -30823810/730719*E(12)^4-52195619/2192157*E(12)^7-30823810/730719*E(12)^8+52195619/2192157*E(12)^11
  ],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]]];

return result;