//Standard generators of L2(71) are a and b where a has order 2, b has order 3
//and ab has order 71.
//Standard generators of the double cover 2.L2(71) = SL2(71) are preimages A and
//B where B has order 3 and AB has order 71.
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI:=[[a^-1,b^-1 ]]
             where a is (_LR`F).1 where b is (_LR`F).2;
//two constituents, interchanged by auto
_LR`G :=
/*
Original group: c9Group("l271p")
From DB /nb/reps/l2/l271/d35.l271.deg2.X2.M
Schur index: 1
Character: ( 35, -1, -1, 1, 0, 0, -1, 0, 0, 0, -1, -1, -1, 1, 1, -1, -1, -1, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -zeta(71)_71^64 - 
zeta(71)_71^60 - zeta(71)_71^58 - zeta(71)_71^57 - zeta(71)_71^54 - 
zeta(71)_71^50 - zeta(71)_71^49 - zeta(71)_71^48 - zeta(71)_71^45 - 
zeta(71)_71^43 - zeta(71)_71^40 - zeta(71)_71^38 - zeta(71)_71^37 - 
zeta(71)_71^36 - zeta(71)_71^32 - zeta(71)_71^30 - zeta(71)_71^29 - 
zeta(71)_71^27 - zeta(71)_71^25 - zeta(71)_71^24 - zeta(71)_71^20 - 
zeta(71)_71^19 - zeta(71)_71^18 - zeta(71)_71^16 - zeta(71)_71^15 - 
zeta(71)_71^12 - zeta(71)_71^10 - zeta(71)_71^9 - zeta(71)_71^8 - zeta(71)_71^6 
- zeta(71)_71^5 - zeta(71)_71^4 - zeta(71)_71^3 - zeta(71)_71^2 - zeta(71)_71 - 
1, zeta(71)_71^64 + zeta(71)_71^60 + zeta(71)_71^58 + zeta(71)_71^57 + 
zeta(71)_71^54 + zeta(71)_71^50 + zeta(71)_71^49 + zeta(71)_71^48 + 
zeta(71)_71^45 + zeta(71)_71^43 + zeta(71)_71^40 + zeta(71)_71^38 + 
zeta(71)_71^37 + zeta(71)_71^36 + zeta(71)_71^32 + zeta(71)_71^30 + 
zeta(71)_71^29 + zeta(71)_71^27 + zeta(71)_71^25 + zeta(71)_71^24 + 
zeta(71)_71^20 + zeta(71)_71^19 + zeta(71)_71^18 + zeta(71)_71^16 + 
zeta(71)_71^15 + zeta(71)_71^12 + zeta(71)_71^10 + zeta(71)_71^9 + zeta(71)_71^8
+ zeta(71)_71^6 + zeta(71)_71^5 + zeta(71)_71^4 + zeta(71)_71^3 + zeta(71)_71^2 
+ zeta(71)_71 )
*/

MatrixGroup<35,K | [
Matrix(K,35,35,
[[209/71,-79/71],[-805/71,-261/71],[-2550/71,12/71],
[-1966/71,683/71],[854/71,1140/71],[4276/71,1026/71],
[6420/71,415/71],[7011/71,-320/71],[6188/71,-1327/71
],[2024/71,-2342/71],[-4259/71,-2483/71],[-8630/71,
-1640/71],[-9152/71,-554/71],[-8076/71,249/71],[
-6378/71,876/71],[-3873/71,1200/71],[-1980/71,1223/71],
[-1262/71,1239/71],[-351/71,1428/71],[1708/71,1712/71],
[4605/71,1684/71],[7163/71,1333/71],[9653/71,704/71
],[10302/71,-483/71],[6944/71,-1803/71],[903/71,
-2312/71],[-3726/71,-1843/71],[-5570/71,-1129/71],[
-6053/71,-391/71],[-4824/71,434/71],[-1799/71,875/71],
[1118/71,745/71],[2013/71,192/71],[635/71,-150/71],
[-62/71,-53/71],[967/71,-196/71],[-2370/71,-1048/71],
[-9993/71,-319/71],[-10515/71,2613/71],[1351/71,5329/71
],[18935/71,5565/71],[32933/71,3031/71],[38879/71,
-910/71],[37811/71,-6241/71],[20008/71,-12240/71],[
-12531/71,-15051/71],[-42477/71,-12463/71],[-55578/71,
-7070/71],[-56706/71,-1871/71],[-51125/71,2617/71],
[-39536/71,6199/71],[-26992/71,7857/71],[-18301/71,
8838/71],[-10313/71,10188/71],[2798/71,11986/71],
[21066/71,12312/71],[38901/71,10920/71],[55194/71,
7651/71],[64836/71,1588/71],[54821/71,-6230/71],[
26875/71,-11215/71],[-1969/71,-11322/71],[-19033/71,
-8601/71],[-28490/71,-5079/71],[-28146/71,-699/71],[
-17113/71,2765/71],[-1730/71,3569/71],[6564/71,1697/71],
[3958/71,-178/71],[-79/71,-229/71],[-636/71,-65/71],
[-1388/71,419/71],[2124/71,1124/71],[7838/71,624/71
],[9401/71,-1078/71],[4759/71,-2907/71],[-3851/71,
-3797/71],[-12363/71,-3639/71],[-21482/71,-2565/71],
[-27158/71,283/71],[-22635/71,4075/71],[-9180/71,
6490/71],[4313/71,6638/71],[13353/71,5619/71],[
19250/71,4207/71],[21656/71,2345/71],[20517/71,848/71
],[19308/71,-79/71],[19421/71,-989/71],[18937/71,
-2525/71],[14502/71,-4295/71],[6980/71,-5707/71],
[-2978/71,-6666/71],[-16366/71,-6462/71],[-27185/71,
-3960/71],[-27645/71,-194/71],[-18797/71,2663/71],[
-8831/71,3709/71],[116/71,3853/71],[7826/71,2943/71],[
10593/71,1093/71],[7212/71,-628/71],[1081/71,-1104/71],
[-1756/71,-388/71],[-475/71,44/71],[1217/71,233/71],
[4141/71,-735/71],[-2845/71,-2708/71],[-17277/71,
-2178/71],[-23896/71,1624/71],[-15561/71,6295/71],
[4140/71,9132/71],[25341/71,9289/71],[48128/71,
7435/71],[65953/71,1195/71],[60558/71,-8104/71],[
30397/71,-15034/71],[-3582/71,-16394/71],[-27838/71,
-14496/71],[-44120/71,-11276/71],[-52437/71,-6894/71],
[-50760/71,-2972/71],[-48084/71,-531/71],[-48287/71,
1619/71],[-48621/71,5069/71],[-39800/71,9576/71],
[-23143/71,13354/71],[103/71,16181/71],[32486/71,
16692/71],[62834/71,11642/71],[69609/71,2543/71],
[51694/71,-5171/71],[27225/71,-8527/71],[5004/71,
-9517/71],[-15503/71,-7860/71],[-25287/71,-3643/71],[
-19743/71,842/71],[-4922/71,2652/71],[3821/71,1252/71],
[1518/71,-88/71],[2766/71,65/71],[2815/71,-2180/71],
[-14902/71,-3889/71],[-33455/71,-28/71],[-29556/71,
7557/71],[-1145/71,13614/71],[36914/71,14614/71],
[69164/71,11167/71],[97401/71,3741/71],[102626/71,
-10020/71],[63565/71,-24171/71],[-1862/71,-29923/71],
[-54154/71,-26232/71],[-83219/71,-19255/71],[-97726/71,
-11420/71],[-96551/71,-3106/71],[-83606/71,2762/71],
[-74269/71,6242/71],[-69548/71,10146/71],[-59258/71,
16313/71],[-32034/71,22410/71],[4655/71,25924/71],
[49020/71,26756/71],[98937/71,21652/71],[126090/71,
7869/71],[106100/71,-7900/71],[56478/71,-16832/71],
[12046/71,-18011/71],[-22677/71,-15747/71],[-46390/71,
-9426/71],[-46076/71,-988/71],[-23333/71,4951/71],[
2726/71,4884/71],[9089/71,1067/71],[1679/71,-405/71],[
-1369/71,-182/71],[-3613/71,797/71],[3463/71,2524/71],[
16185/71,1840/71],[21398/71,-1650/71],[13429/71,-5660/71
],[-3721/71,-8010/71],[-21854/71,-8208/71],[-41767/71,
-6570/71],[-56969/71,-1048/71],[-51197/71,6875/71],
[-25170/71,12495/71],[2380/71,13351/71],[21449/71,
11729/71],[34588/71,9181/71],[40811/71,5723/71],[
39285/71,2742/71],[37975/71,1045/71],[39555/71,-623/71
],[40787/71,-3626/71],[34068/71,-7479/71],[20522/71,
-10715/71],[812/71,-13286/71],[-26984/71,-13711/71],
[-733,-130],[-56230/71,-1558/71],[-40100/71,4574/71
],[-20065/71,7085/71],[-2163/71,7744/71],[14436/71,
6152/71],[21483/71,2496/71],[15427/71,-1167/71],[
2584/71,-2358/71],[-3832/71,-919/71],[-1277/71,144/71],
[298/71,28/71],[590/71,-169/71],[-723/71,-523/71],[
-3647/71,-407/71],[-5122/71,406/71],[-3370/71,1425/71],
[1063/71,2126/71],[6147/71,2212/71],[11607/71,1701/71],
[15625/71,294/71],[14639/71,-1820/71],[8220/71,-3511/71
],[394/71,-4040/71],[-6018/71,-3729/71],[-10435/71,
-3049/71],[-12896/71,-2007/71],[-13220/71,-1022/71],
[-12876/71,-334/71],[-12837/71,312/71],[-12664/71,
1226/71],[-10606/71,2289/71],[-6456/71,3276/71],[
-706/71,3984/71],[6905/71,4083/71],[14028/71,2993/71
],[16301/71,1007/71],[12995/71,-848/71],[7636/71,
-1839/71],[2224/71,-2155/71],[-2676/71,-1873/71],[
-5284/71,-983/71],[-4394/71,16/71],[-1611/71,470/71],
[427/71,286/71],[336/71,33/71],[-1295/71,37/71],[
-400/71,1117/71],[8363/71,1603/71],[16154/71,-636/71],
[11585/71,-4449/71],[-4377/71,-6979/71],[-23773/71,
-6792/71],[-38762/71,-4323/71],[-50023/71,135/71],
[-47532/71,7318/71],[-23498/71,13922/71],[11477/71,
15783/71],[36954/71,12990/71],[50045/71,8713/71],
[54765/71,4237/71],[51865/71,-214/71],[43158/71,
-3215/71],[36873/71,-5064/71],[32243/71,-7082/71],
[24259/71,-10128/71],[7972/71,-12740/71],[-12011/71,
-13869/71],[-34924/71,-13261/71],[-57957/71,-9627/71],
[-67029/71,-1927/71],[-52181/71,5901/71],[-24513/71,
9833/71],[-1160/71,9750/71],[15958/71,7989/71],
[25961/71,4281/71],[23604/71,-78/71],[10549/71,
-2829/71],[-2209/71,-2430/71],[-4639/71,-474/71],[
-734/71,236/71],[52/71,-109/71],[-2138/71,-229/71],
[-3618/71,716/71],[930/71,2002/71],[9481/71,2064/71],
[15871/71,431/71],[15749/71,-2085/71],[9917/71,-4377/71
],[-24/71,-6367/71],[-16368/71,-7105/71],[-32227/71,
-5027/71],[-37658/71,-766/71],[-31509/71,3154/71],[
-21253/71,5561/71],[-10250/71,6835/71],[742/71,7093/71],
[8578/71,6364/71],[13208/71,5613/71],[17793/71,5127/71
],[24485/71,4453/71],[30682/71,2647/71],[33122/71,
143/71],[31664/71,-2844/71],[23410/71,-6288/71],
[5901/71,-8646/71],[-13143/71,-7968/71],[-23517/71,
-4931/71],[-23901/71,-1723/71],[-19848/71,845/71],[
-11440/71,2751/71],[-1077/71,3171/71],[6110/71,1996/71],
[6073/71,218/71],[1590/71,-512/71],[-429/71,-148/71],
[346/71,124/71],[1996/71,16/71],[1670/71,-849/71],[
-3156/71,-1413/71],[-8180/71,-740/71],[-9252/71,666/71],
[-6051/71,2098/71],[-1027/71,2987/71],[5911/71,3515/71
],[15197/71,2917/71],[20166/71,643/71],[16558/71,
-2029/71],[8665/71,-3331/71],[1789/71,-3522/71],
[-3451/71,-3352/71],[-7359/71,-2719/71],[-8260/71,
-1823/71],[-8370/71,-1475/71],[-9682/71,-1330/71],
[-12653/71,-811/71],[-14159/71,295/71],[-13025/71,
1569/71],[-9658/71,3049/71],[-2362/71,4435/71],[
8891/71,4434/71],[16196/71,2572/71],[15495/71,176/71
],[10633/71,-1312/71],[5811/71,-2081/71],[-563/71,
-2333/71],[-5741/71,-1613/71],[-6476/71,-243/71],
[-2955/71,693/71],[772/71,550/71],[935/71,24/71],[
-1046/71,-175/71],[-3068/71,609/71],[2122/71,2043/71],
[12608/71,1715/71],[18109/71,-915/71],[13035/71,-4318/71
],[6/71,-6591/71],[-15017/71,-7172/71],[-32786/71,
-6287/71],[-47435/71,-2144/71],[-45912/71,4381/71],
[-27260/71,9522/71],[-4824/71,11013/71],[12333/71,
10395/71],[24873/71,8708/71],[32156/71,6021/71],[
33125/71,3557/71],[33065/71,2017/71],[35222/71,509/71
],[37439/71,-2015/71],[32962/71,-5360/71],[22738/71,
-8413/71],[7221/71,-11047/71],[-16210/71,-11972/71],
[-39029/71,-8975/71],[-46001/71,-2968/71],[-36058/71,
2363/71],[-21211/71,5006/71],[-6221/71,6089/71],[
8341/71,5322/71],[15836/71,2633/71],[12897/71,-405/71],
[3256/71,-1653/71],[-2323/71,-741/71],[-873/71,29/71
],[2200/71,-144/71],[-484/71,-1891/71],[-14698/71,
-2061/71],[-22879/71,1954/71],[-11845/71,7195/71],
[13000/71,9741/71],[38429/71,8201/71],[55290/71,
4080/71],[66337/71,-2652/71],[55408/71,-12653/71],
[15261/71,-20172/71],[-32078/71,-20065/71],[-59371/71,
-14372/71],[-69137/71,-8060/71],[-69898/71,-2127/71],
[-60397/71,3243/71],[-46501/71,6114/71],[-38648/71,
7691/71],[-33223/71,10021/71],[-21324/71,13868/71],
[1444/71,16591/71],[27521/71,17057/71],[56564/71,
15290/71],[83445/71,8986/71],[85815/71,-2249/71],
[55660/71,-11794/71],[14865/71,-14645/71],[-12983/71,
-12618/71],[-31591/71,-9080/71],[-39230/71,-3271/71],[
-29169/71,2509/71],[-7658/71,5061/71],[8389/71,3146/71],
[7199/71,-15/71],[300/71,-465/71],[-1496/71,-578/71],
[-9650/71,296/71],[-5786/71,4616/71],[19762/71,7148/71
],[46986/71,3518/71],[54182/71,-4810/71],[36176/71,
-13558/71],[3660/71,-19518/71],[-42664/71,-22990/71],
[-99954/71,-19142/71],[-133450/71,-5620/71],[-119512/71,
10754/71],[-76277/71,21112/71],[-31830/71,25374/71],
[8082/71,26104/71],[41130/71,23188/71],[58354/71,
18444/71],[68524/71,15212/71],[82346/71,12610/71],
[101560/71,7870/71],[110480/71,-418/71],[103508/71,
-9960/71],[80600/71,-20276/71],[31410/71,-29480/71],
[-38606/71,-30636/71],[-89578/71,-20968/71],[-97644/71,
-7138/71],[-78244/71,3120/71],[-50072/71,10048/71],
[-11976/71,13110/71],[20818/71,10254/71],[31292/71,
3370/71],[17056/71,-2098/71],[-680/71,-2212/71],[
-2450/71,-214/71],[524/71,-17/71],[-82/71,-377/71],[
-2727/71,-342/71],[-3729/71,423/71],[-970/71,1255/71],
[3425/71,1383/71],[6790/71,800/71],[7787/71,-46/71],
[7932/71,-1105/71],[59,-36],[-3702/71,-3215/71],[
-11033/71,-2328/71],[-179,-10],[-11120/71,551/71],[
-8331/71,1443/71],[-4605/71,2008/71],[-820/71,1981/71],
[705/71,1765/71],[1430/71,1724/71],[3012/71,1977/71],
[6345/71,1969/71],[9170/71,1584/71],[12103/71,918/71
],[14069/71,-333/71],[11236/71,-2236/71],[3185/71,
-3357/71],[-4489/71,-3014/71],[-7921/71,-1926/71],
[-128,-13],[-8203/71,279/71],[-4556/71,1183/71],
[305/71,1320/71],[2965/71,605/71],[1824/71,-115/71],
[0,-2],[1101/71,1/71],[1206/71,-925/71],[-6277/71,
-1762/71],[-15136/71,-239/71],[-14836/71,3130/71],[
-3385/71,6223/71],[14249/71,7269/71],[30989/71,6172/71],
[46320/71,3038/71],[52040/71,-3201/71],[533,-144],
[9324/71,-14012/71],[-16833/71,-13573/71],[-34160/71,
-11094/71],[-44865/71,-7725/71],[-48162/71,-3811/71],
[-45086/71,-712/71],[-42176/71,1487/71],[-40523/71,
3799/71],[-36275/71,7041/71],[-24313/71,10446/71],
[-6872/71,12810/71],[15157/71,13842/71],[40807/71,
12176/71],[57685/71,6385/71],[53949/71,-1016/71],
[34709/71,-6055/71],[14384/71,-7726/71],[-3275/71,
-7544/71],[-16710/71,-5233/71],[-19702/71,-1561/71],[
-12022/71,1374/71],[-1038/71,1900/71],[2983/71,570/71],
[653/71,-114/71],[-1355/71,-12/71],[-621/71,1030/71
],[7662/71,1408/71],[13687/71,-813/71],[7763/71,
-4070/71],[-7368/71,-5719/71],[-23081/71,-4769/71],
[-32568/71,-2088/71],[-38529/71,1894/71],[-32074/71,
7917/71],[-7203/71,12645/71],[23535/71,12564/71],[
41367/71,8539/71],[46629/71,4082/71],[45287/71,120/71
],[37765/71,-3422/71],[26706/71,-5305/71],[19764/71,
-6054/71],[15239/71,-7081/71],[8011/71,-9041/71],[
-6122/71,-10398/71],[-21873/71,-10305/71],[-38551/71,
-8942/71],[-54147/71,-5060/71],[-55732/71,1994/71],[
-36099/71,8245/71],[-8605/71,10196/71],[10306/71,8613/71
],[21969/71,6095/71],[26923/71,2300/71],[20735/71,
-1556/71],[6541/71,-3461/71],[-5057/71,-2375/71],[
-5421/71,-192/71],[-584/71,323/71],[-1328/71,-100/71],
[-2708/71,974/71],[5579/71,2496/71],[18532/71,1280/71
],[22014/71,-2832/71],[10672/71,-7198/71],[-10454/71,
-9406/71],[-32176/71,-8972/71],[-54039/71,-6122/71],
[-67618/71,942/71],[-56862/71,10100/71],[-24332/71,
16230/71],[9038/71,16940/71],[32540/71,14670/71],[
48324/71,11164/71],[55526/71,6682/71],[53784/71,2772/71
],[51708/71,182/71],[51698/71,-2394/71],[49868/71,
-6338/71],[38550/71,-10940/71],[19566/71,-14544/71],
[-6330/71,-16920/71],[-39218/71,-16382/71],[-66024/71,
-10354/71],[-68270/71,-1214/71],[-48188/71,5864/71],
[-23584/71,8780/71],[-1666/71,9306/71],[17214/71,
7164/71],[24502/71,2854/71],[17136/71,-1228/71],[
3028/71,-2464/71],[-3680/71,-970/71],[-1218/71,120/71],
[-1914/71,432/71],[5256/71,2134/71],[20331/71,263/71],
[18196/71,-5711/71],[-7520/71,-10283/71],[-40592/71,
-9545/71],[-62789/71,-3742/71],[-68400/71,3851/71],
[-61190/71,13514/71],[-22227/71,23777/71],[40622/71,
26716/71],[90450/71,19304/71],[103623/71,8091/71],
[96210/71,-1126/71],[80177/71,-8413/71],[55138/71,
-13548/71],[31976/71,-14929/71],[18620/71,-15584/71],
[6113/71,-17452/71],[-16904/71,-20176/71],[-48650/71,
-19839/71],[-77154/71,-16284/71],[-102125/71,-9639/71],
[-112812/71,2002/71],[-84606/71,15885/71],[-26422/71,
22842/71],[24815/71,20094/71],[48560/71,13269/71],
[58313/71,6150/71],[50449/71,-1981/71],[24181/71,
-7444/71],[-5547/71,-7331/71],[-17581/71,-2573/71],
[-7787/71,1111/71],[988/71,627/71],[665/71,194/71],
[3234/71,-135/71],[2276/71,-1483/71],[-5203/71,-2454/71
],[-14356/71,-1803/71],[-19339/71,443/71],[-17308/71,
3298/71],[-10137/71,5925/71],[3911/71,8177/71],[
23557/71,8277/71],[39015/71,5255/71],[42388/71,712/71
],[36446/71,-3078/71],[26929/71,-5711/71],[15697/71,
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[21074/71,17369/71],[50455/71,16349/71],[80662/71,
10946/71],[88685/71,-59/71],[62527/71,-10414/71],
[21900/71,-14349/71],[-7543/71,-12956/71],[-28153/71,
-9943/71],[-38765/71,-4400/71],[-31510/71,1661/71],[
-10807/71,4869/71],[7094/71,3467/71],[7657/71,191/71],
[433/71,-483/71],[-623/71,-181/71],[-2665/71,208/71],
[-351/71,1357/71],[6749/71,1499/71],[11361/71,73/71
],[9773/71,-1967/71],[2909/71,-3483/71],[-4788/71,
-4038/71],[-14614/71,-4023/71],[-24794/71,-2160/71],
[-26045/71,1515/71],[-16158/71,4604/71],[-3844/71,
5447/71],[4840/71,4994/71],[10962/71,4245/71],[
14535/71,2871/71],[14134/71,1643/71],[13662/71,1125/71
],[15189/71,771/71],[17883/71,-302/71],[17186/71,
-1980/71],[13028/71,-3622/71],[6300/71,-5221/71],
[-5878/71,-6289/71],[-19749/71,-4992/71],[-24903/71,
-1668/71],[-19123/71,1443/71],[-10710/71,2791/71],[
-3076/71,3362/71],[5170/71,3027/71],[9976/71,1492/71],
[8184/71,-388/71],[1976/71,-1231/71],[-2168/71,-573/71
],[-849/71,77/71],[-427/71,69/71],[663/71,474/71],
[4398/71,276/71],[5382/71,-1022/71],[557/71,-2436/71],
[-7850/71,-2778/71],[-15259/71,-1763/71],[-19089/71,
91/71],[-19291/71,2598/71],[-12015/71,5648/71],[
3200/71,7394/71],[18758/71,6631/71],[26878/71,4127/71
],[28593/71,1522/71],[26629/71,-844/71],[21499/71,
-2726/71],[15229/71,-3764/71],[10656/71,-4319/71],[
6470/71,-5023/71],[408/71,-5929/71],[-8478/71,-6306/71],
[-17501/71,-5750/71],[-26160/71,-4324/71],[-31904/71,
-1541/71],[-29030/71,2290/71],[-16469/71,5118/71],
[-2018/71,5620/71],[7701/71,4539/71],[184,41],[
14054/71,773/71],[9485/71,-1052/71],[2229/71,-1719/71],
[-2706/71,-1010/71],[-2185/71,-39/71],[-217/71,134/71],
[-1467/71,261/71],[3338/71,1564/71],[15064/71,308/71],
[13893/71,-4306/71],[-6377/71,-7926/71],[-32770/71,
-7249/71],[-50117/71,-2396/71],[-52991/71,3926/71],
[-45218/71,11520/71],[-13191/71,19484/71],[38099/71,
21599/71],[79131/71,15197/71],[89462/71,5400/71],
[80956/71,-2666/71],[65190/71,-8780/71],[42356/71,
-12984/71],[20733/71,-13985/71],[7695/71,-14075/71],
[-3379/71,-14994/71],[-21996/71,-16586/71],[-47307/71,
-15804/71],[-69305/71,-12301/71],[-87131/71,-6489/71],
[-93492/71,3012/71],[-69090/71,14257/71],[-20125/71,
19958/71],[23703/71,17515/71],[43959/71,11380/71],[
50954/71,5135/71],[43815/71,-1688/71],[21790/71,-6333/71
],[-3473/71,-6378/71],[-14637/71,-2507/71],[-7358/71,
762/71],[493/71,560/71],[1489/71,-75/71],[276/71,
-1365/71],[-10483/71,-1867/71],[-19138/71,916/71],[
-13497/71,5311/71],[5149/71,8239/71],[27357/71,7996/71
],[44846/71,5273/71],[58211/71,195/71],[55733/71,
-8098/71],[28196/71,-15602/71],[-10703/71,-17643/71],
[-38752/71,-14598/71],[-52923/71,-10067/71],[-58979/71,
-5281/71],[-56138/71,-522/71],[-47638/71,2633/71],
[-41993/71,4622/71],[-38315/71,7008/71],[-30039/71,
10638/71],[-12246/71,13848/71],[10173/71,15305/71],
[36324/71,14925/71],[63129/71,10883/71],[73291/71,
2239/71],[56439/71,-6473/71],[25757/71,-10611/71],
[654/71,-10478/71],[-17938/71,-8541/71],[-28721/71,
-4405/71],[-25350/71,420/71],[-10533/71,3287/71],[
3533/71,2664/71],[5295/71,366/71],[636/71,-290/71],
[-868/71,-245/71],[-4237/71,401/71],[235/71,2316/71
],[12829/71,2512/71],[21215/71,-241/71],[17810/71,
-4211/71],[3968/71,-7187/71],[-12789/71,-8254/71],
[-32584/71,-7942/71],[-52308/71,-3938/71],[-55059/71,
3411/71],[-35937/71,9918/71],[-10316/71,12241/71],[
9498/71,11825/71],[24641/71,10232/71],[34536/71,7444/71
],[35971/71,4563/71],[36142/71,2846/71],[38856/71,
1387/71],[42633/71,-1212/71],[39675/71,-5069/71],
[29875/71,-8623/71],[13863/71,-11892/71],[-11791/71,
-13855/71],[-40207/71,-11331/71],[-52265/71,-4704/71],
[-43325/71,1745/71],[-375,72],[-10538/71,6756/71],
[6797/71,6352/71],[17529/71,3534/71],[15869/71,-70/71
],[4999/71,-1930/71],[-2692/71,-1053/71],[-1342/71,
85/71],[412/71,114/71],[2057/71,-217/71],[-402/71,
-1230/71],[-7448/71,-1335/71],[-12373/71,317/71],[
-10018/71,2755/71],[-1066/71,4613/71],[10115/71,5178/71
],[22498/71,4668/71],[34049/71,1997/71],[35410/71,
-2665/71],[23198/71,-6925/71],[5890/71,-8597/71],
[-8353/71,-8328/71],[-18932/71,-7121/71],[-25834/71,
-5163/71],[-27324/71,-3031/71],[-27159/71,-1565/71],
[-27980/71,-296/71],[-29232/71,1531/71],[-26302/71,
4054/71],[-18787/71,6375/71],[-7262/71,8338/71],[
9335/71,9298/71],[27271/71,7611/71],[35335/71,3362/71
],[30189/71,-966/71],[19019/71,-3426/71],[7865/71,
-4505/71],[-3518/71,-4267/71],[-10752/71,-2547/71],
[-10416/71,-242/71],[-4090/71,1050/71],[14,10],
[902/71,29/71],[1201/71,343/71],[5553/71,-538/71],
[-391/71,-3054/71],[-16975/71,-3207/71],[-27440/71,
500/71],[-21970/71,5689/71],[-3132/71,9427/71],
[18765/71,10479/71],[44212/71,9685/71],[68494/71,
4147/71],[69676/71,-5630/71],[42300/71,-13948/71],
[7303/71,-16421/71],[-18852/71,-15268/71],[-37484/71,
-12701/71],[-48616/71,-8624/71],[-48682/71,-4638/71],
[-47128/71,-2382/71],[-49235/71,-490/71],[-53075/71,
2835/71],[-47790/71,7654/71],[-33592/71,12052/71],
[-11937/71,15957/71],[21583/71,17961/71],[57806/71,
14082/71],[71184/71,4983/71],[56672/71,-3593/71],
[32899/71,-7758/71],[10784/71,-9459/71],[-12075/71,
-8530/71],[-25293/71,-4507/71],[-21876/71,410/71],[
-6591/71,2793/71],[4008/71,1484/71],[2015/71,-88/71],
[17/71,-392/71],[-5492/71,-547/71],[-8067/71,1687/71],
[2312/71,4198/71],[18696/71,3951/71],[29086/71,733/71
],[27682/71,-3708/71],[17945/71,-7420/71],[769/71,
-10958/71],[-28779/71,-12047/71],[-54909/71,-7791/71],
[-59717/71,-225/71],[-45832/71,5606/71],[-28718/71,
8665/71],[-12154/71,10198/71],[3738/71,10032/71],[
12744/71,8448/71],[17234/71,7559/71],[23609/71,7387/71],
[35312/71,6724/71],[45508/71,3970/71],[49552/71,130/71
],[47917/71,-4773/71],[33652/71,-10654/71],[2148/71,
-14093/71],[-28590/71,-11811/71],[-40942/71,-5985/71],
[-37345/71,-992/71],[-29055/71,2808/71],[-13140/71,
5528/71],[4675/71,5445/71],[14493/71,2645/71],[
10574/71,-578/71],[746/71,-1277/71],[-1551/71,-191/71],
[300/71,-536/71],[-8112/71,-1101/71],[-15308/71,2257/71
],[-814/71,7247/71],[29366/71,8251/71],[54061/71,
3468/71],[58914/71,-4789/71],[45266/71,-12844/71],
[15911/71,-20789/71],[-38752/71,-25248/71],[-96306/71,
-20082/71],[-121463/71,-6851/71],[-107956/71,5892/71],
[-79879/71,14263/71],[-48068/71,19452/71],[-14162/71,
21305/71],[10616/71,19812/71],[25423/71,18470/71],
[41304/71,18140/71],[66078/71,17207/71],[91046/71,
12544/71],[105539/71,5107/71],[108994/71,-4668/71],
[89482/71,-16925/71],[34942/71,-26392/71],[-29013/71,
-25934/71],[-66864/71,-17075/71],[-72925/71,-7258/71],
[-64533/71,1077/71],[-39685/71,7960/71],[-5865/71,
10067/71],[18865/71,6561/71],[19871/71,763/71],[
4990/71,-1735/71],[-1678/71,-516/71]])
]> where w := K.1 where K := ext<K|Polynomial(K,[18,1,1])> where K
is RationalField();

return _LR;
