//Standard generators of L2(37) are a and b where a has order 2, b has order 3
//and ab has order 37.
//Standard generators of the double cover 2.L2(37) = SL2(37) are preimages A and
//B where B has order 3 and AB has order 37.
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI:=[[a^-1, a^-1*b*a*b^-1*a*b*a*b^-1*a^-1*b*a*b*a*b^-1*a^-1*b^-1*a*b^-1*a*
                             b*a*b^-1*a^-1*b*a*b*a*b^-1*a^-1*b*a^-1*b^-1*a*b]]
             where a is (_LR`F).1 where b is (_LR`F).2;
//two constituents, interchanged by auto
_LR`G :=
/*
Original group: c9Group("sl237p")
From DB /nb/reps/l2/2l237/d18.2l237.deg4.si2.X2.M
Schur index: 2
Character: ( 18, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 
-1, -1, -1, 0, 0, 0, 0, 0, 0, -zeta(37)_37^35 - zeta(37)_37^32 - zeta(37)_37^31 
- zeta(37)_37^29 - zeta(37)_37^24 - zeta(37)_37^23 - zeta(37)_37^22 - 
zeta(37)_37^20 - zeta(37)_37^19 - zeta(37)_37^18 - zeta(37)_37^17 - 
zeta(37)_37^15 - zeta(37)_37^14 - zeta(37)_37^13 - zeta(37)_37^8 - zeta(37)_37^6
- zeta(37)_37^5 - zeta(37)_37^2 - 1, zeta(37)_37^35 + zeta(37)_37^32 + 
zeta(37)_37^31 + zeta(37)_37^29 + zeta(37)_37^24 + zeta(37)_37^23 + 
zeta(37)_37^22 + zeta(37)_37^20 + zeta(37)_37^19 + zeta(37)_37^18 + 
zeta(37)_37^17 + zeta(37)_37^15 + zeta(37)_37^14 + zeta(37)_37^13 + 
zeta(37)_37^8 + zeta(37)_37^6 + zeta(37)_37^5 + zeta(37)_37^2, 1, 1, 1, 1, 1, 1,
1, 1, 1, zeta(37)_37^35 + zeta(37)_37^32 + zeta(37)_37^31 + zeta(37)_37^29 + 
zeta(37)_37^24 + zeta(37)_37^23 + zeta(37)_37^22 + zeta(37)_37^20 + 
zeta(37)_37^19 + zeta(37)_37^18 + zeta(37)_37^17 + zeta(37)_37^15 + 
zeta(37)_37^14 + zeta(37)_37^13 + zeta(37)_37^8 + zeta(37)_37^6 + zeta(37)_37^5 
+ zeta(37)_37^2 + 1, -zeta(37)_37^35 - zeta(37)_37^32 - zeta(37)_37^31 - 
zeta(37)_37^29 - zeta(37)_37^24 - zeta(37)_37^23 - zeta(37)_37^22 - 
zeta(37)_37^20 - zeta(37)_37^19 - zeta(37)_37^18 - zeta(37)_37^17 - 
zeta(37)_37^15 - zeta(37)_37^14 - zeta(37)_37^13 - zeta(37)_37^8 - zeta(37)_37^6
- zeta(37)_37^5 - zeta(37)_37^2 )
*/

MatrixGroup<18,K | [
Matrix(K,18,18,
[[8136/37,52511/333,1242/37,6692/333],[7327/37,55132/333,
1114/37,6631/333],[-3262/37,-12380/333,-505/37,-2012/333],
[10760/37,37544/333,1674/37,6431/333],[8247/37,31360/333,
1279/37,5116/333],[8138/37,44108/333,1250/37,6047/333],[
13306/37,61688/333,2053/37,9101/333],[-8747/37,-11815/111,
-1355/37,-1861/111],[-7451/37,-413/9,-1166/37,-98/9],
[-2383/37,-26141/333,-356/37,-2777/333],[-12994/37,
-13720/111,-2026/37,-2488/111],[-5427/37,-24421/333,
-840/37,-3667/333],[-10218/37,-15535/111,-1578/37,
-2311/111],[-22277/37,-93599/333,-3453/37,-14534/333],[
9682/37,31424/333,1506/37,5594/333],[-9269/37,-29413/333,
-1445/37,-5320/333],[11371/37,59122/333,1750/37,8272/333
],[2936/37,6161/333,459/37,1445/333],[4999/37,4014/37,
571/37,516/37],[5589/37,37720/333,600/37,4582/333],[
-726/37,-8651/333,-129/37,-1415/333],[2043/37,8927/111,
402/37,1520/111],[1934/37,22187/333,336/37,3611/333],
[3773/37,275/3,477/37,38/3],[4727/37,43252/333,667/37,
6397/333],[-2466/37,-683/9,-392/37,-107/9],[99/37,
-11419/333,-159/37,-2608/333],[-2995/37,-1977/37,-288/37,
-212/37],[-1791/37,-29774/333,-430/37,-5321/333],[-48,
-17270/333,-7,-2591/333],[-3502/37,-32744/333,-503/37,
-4880/333],[-6439/37,-66140/333,-1003/37,-10259/333],[
1518/37,22585/333,337/37,3982/333],[-1308/37,-7087/111,
-311/37,-1264/111],[4914/37,13691/111,638/37,1928/111
],[-40/37,1501/111,62/37,343/111],[4265/37,7093/37,
1557/37,696/37],[-1318/37,77537/333,981/37,7229/333],[
-7745/37,-2785/333,-1121/37,-706/333],[27476/37,638/333,
3862/37,1664/333],[19192/37,837/37,2805/37,203/37],
[10262/37,13748/111,2050/37,1490/111],[23529/37,368/3,
3910/37,47/3],[-18653/37,-14402/333,-2832/37,-2441/333],
[-26084/37,3026/37,-3252/37,116/37],[6106/37,-46688/333,
152/37,-4046/333],[-35977/37,3401/111,-4899/37,-382/111],
[-10151/37,-14447/333,-1643/37,-1955/333],[-18398/37,
-29747/333,-3033/37,-3881/333],[-45916/37,-43090/333,
-7100/37,-6748/333],[26046/37,-5039/333,3581/37,1045/333
],[-25399/37,6752/333,-3472/37,-853/333],[15797/37,
51533/333,2989/37,5777/333],[10330/37,-10646/333,1286/37,
-404/333],[-3053/37,66547/333,-816/37,7336/333],[
-829/37,76345/333,-578/37,7900/333],[3458/37,-8084/333,
512/37,-1478/333],[-12404/37,19936/333,-1775/37,4375/333
],[-8789/37,20956/333,-1301/37,3793/333],[-5263/37,
48289/333,-998/37,5899/333],[-11296/37,1547/9,-1857/37,
215/9],[8655/37,-27383/333,1320/37,-4415/333],[11268/37,
2864/111,1449/37,-421/111],[-1838/37,-14035/111,11/37,
-1306/111],[16204/37,-15362/333,2249/37,-4616/333],[
4838/37,-21647/333,778/37,-3116/333],[8928/37,-14266/111,
1450/37,-2008/111],[21743/37,-25121/111,3352/37,-3914/111
],[-11695/37,367/9,-1640/37,97/9],[11509/37,-11431/333,
1599/37,-3322/333],[-8041/37,62518/333,-1454/37,7870/333],
[-4435/37,-3257/333,-572/37,514/333],[-3560/37,1955/37,
-587/37,13/37],[-2957/37,30484/333,-506/37,1279/333],
[1694/37,3274/111,264/37,442/111],[-5799/37,-38735/333,
-885/37,-4868/333],[-4348/37,-2700/37,-668/37,-366/37],
[-3826/37,95/37,-615/37,-138/37],[-6614/37,-18191/333,
-1037/37,-3611/333],[4513/37,21205/333,699/37,3124/333],
[4275/37,15679/111,635/37,1666/111],[21,-25930/333,
4,-1711/333],[7123/37,54685/333,1075/37,6508/333],
[2724/37,8833/333,425/37,1588/333],[5226/37,1699/37,
813/37,321/37],[11593/37,49235/333,1787/37,7574/333],[
-5317/37,-38861/333,-807/37,-4706/333],[5152/37,38560/333,
776/37,4612/333],[-5510/37,-3584/333,-876/37,-2126/333
],[-1643/37,-18415/333,-245/37,-1954/333],[3884/37,
50401/333,773/37,4357/333],[2503/37,64492/333,614/37,
5443/333],[-2805/37,640/111,-416/37,7/111],[9497/37,
-1535/37,1395/37,-72/37],[6910/37,-3763/333,1037/37,
44/333],[5084/37,28570/333,874/37,2614/333],[9674/37,
7126/111,1548/37,754/111],[-7021/37,-682/111,-1074/37,
-175/111],[-7947/37,11950/111,-1078/37,847/111],[
345/37,-41674/333,-100/37,-3415/333],[-12033/37,26896/333,
-1734/37,1579/333],[-4045/37,-6628/333,-640/37,-760/333],
[-7448/37,-14917/333,-1191/37,-1615/333],[-471,-3931/111,
-73,-628/111],[8839/37,-17621/333,1279/37,-998/333],[
-8484/37,18700/333,-1228/37,1096/333],[7417/37,34126/333,
1252/37,3193/333],[3169/37,-1563/37,429/37,-110/37],
[32248/37,12719/333,4635/37,3035/333],[30814/37,589/37,
4301/37,247/37],[-11006/37,-1373/37,-1733/37,-201/37],[
35740/37,43064/333,5690/37,6200/333],[27960/37,30550/333,
4392/37,4540/333],[30310/37,19915/333,4505/37,3625/333
],[47477/37,40555/333,7239/37,6598/333],[-30114/37,
-10127/111,-4683/37,-1547/111],[-22328/37,-38180/333,
-3768/37,-4979/333],[-11773/37,5096/333,-1508/37,
-151/333],[-42303/37,-18521/111,-6819/37,-2600/111],[
-19209/37,-157/3,-2947/37,-25/3],[-36383/37,-31693/333,
-5561/37,-5116/333],[-77598/37,-75976/333,-12024/37,
-11752/333],[31647/37,40246/333,5080/37,5695/333],[
-30196/37,-39373/333,-4863/37,-5533/333],[42013/37,266/3,
6288/37,47/3],[8817/37,15203/333,1487/37,1982/333],[
11119/37,20980/111,1704/37,2113/111],[10040/37,75278/333,
1532/37,7184/333],[-4503/37,-3904/333,-696/37,-853/333],
[14840/37,4654/333,2306/37,2188/333],[11393/37,10234/333,
1764/37,2197/333],[11216/37,41566/333,1722/37,4648/333],[
18347/37,43091/333,2829/37,5642/333],[-12047/37,-5560/111,
-1864/37,-928/111],[-10290/37,22583/333,-1607/37,533/333
],[-3191/37,-44632/333,-480/37,-3925/333],[-17969/37,
1511/111,-2797/37,-616/111],[-7467/37,-15634/333,-1156/37,
-2152/333],[-14010/37,-31636/333,-2168/37,-4222/333],[
-30678/37,-48634/333,-4756/37,-7612/333],[360,-886/333,
56,1562/333],[-12763/37,914/111,-1990/37,-451/111],[
15605/37,52436/333,2406/37,6059/333],[4100/37,-8762/333,
638/37,-194/333],[10058/37,44749/333,1493/37,5059/333],
[9341/37,50569/333,1363/37,5362/333],[-3820/37,-6301/333,
-591/37,-1117/333],[12352/37,16463/333,1937/37,3359/333],
[9576/37,16225/333,1489/37,2851/333],[9824/37,33286/333,
1482/37,4162/333],[15755/37,40672/333,2414/37,5734/333],
[-10181/37,-20438/333,-1578/37,-3275/333],[-8183/37,
299/37,-1319/37,-136/37],[-3239/37,-27316/333,-450/37,
-2593/333],[-14678/37,-14338/333,-2324/37,-3628/333],
[-6388/37,-5212/111,-984/37,-757/111],[-12006/37,
-10186/111,-1848/37,-1450/111],[-25878/37,-55409/333,
-4019/37,-8627/333],[10997/37,12164/333,1734/37,2813/333
],[-10422/37,-10532/333,-1654/37,-2612/333],[13625/37,
43465/333,2071/37,5584/333],[3257/37,-320/111,522/37,
163/111],[12015/37,105634/333,1699/37,13501/333],
[11598/37,2989/9,1585/37,361/9],[-3853/37,-24971/333,
-612/37,-4091/333],[12528/37,76502/333,2012/37,13079/333],
[9909/37,63932/333,1563/37,10418/333],[11054/37,88349/333,
1629/37,12182/333],[17143/37,13841/37,2601/37,2047/37],
[-10760/37,-72329/333,-1674/37,-11372/333],[-7628/37,
-31855/333,-1319/37,-7429/333],[-4601/37,-52229/333,
-570/37,-5564/333],[-14821/37,-9386/37,-2415/37,-1691/37
],[-6906/37,-49504/333,-1058/37,-7429/333],[-13078/37,
-94795/333,-1992/37,-14101/333],[-27752/37,-190424/333,
-4300/37,-29540/333],[11058/37,21515/111,1793/37,3809/111
],[-10568/37,-60604/333,-1720/37,-10870/333],[15246/37,
119263/333,2265/37,16735/333],[3007/37,12611/333,521/37,
2936/333],[-17069/37,-8384/37,-1676/37,-1087/37],
[-20714/37,-78299/333,-1937/37,-9611/333],[694/37,
18800/333,186/37,3050/333],[-234/37,-57863/333,-455/37,
-9785/333],[-2133/37,-15965/111,-503/37,-2588/111],
[-10954/37,-64226/333,-1192/37,-8930/333],[-11027/37,
-30520/111,-1410/37,-4531/111],[3921/37,53752/333,
662/37,8437/333],[-7162/37,26039/333,-269/37,5699/333],
[12433/37,36167/333,1077/37,3920/333],[-2592/37,21601/111,
325/37,3820/111],[3868/37,12140/111,524/37,1829/111],[
8023/37,23177/111,1049/37,3464/111],[11649/37,141314/333,
1826/37,21911/333],[1250/37,-16393/111,-291/37,-2857/111
],[-1735/37,46360/333,238/37,8173/333],[-13772/37,
-86621/333,-1549/37,-12263/333],[2791/37,-3463/111,
101/37,-754/111],[12200/37,32444/333,1810/37,3014/333],
[11375/37,40303/333,1655/37,3592/333],[-4638/37,-14/111,
-718/37,-56/111],[14980/37,-1310/111,2348/37,88/111],
[11550/37,848/333,1800/37,506/333],[11948/37,19787/333,
1801/37,2003/333],[19064/37,5836/111,2922/37,700/111],
[-12327/37,-121/9,-1911/37,-22/9],[-9861/37,487/9,
-1593/37,28/9],[-3976/37,-25201/333,-549/37,-2125/333
],[-17770/37,10549/333,-2815/37,127/333],[-7744/37,
-669/37,-1191/37,-86/37],[-14546/37,-12596/333,-2240/37,
-1544/333],[-31401/37,-15311/333,-4873/37,-2414/333],
[13280/37,-6523/333,2097/37,-7/333],[-12666/37,7319/333,
-2009/37,83/333],[16538/37,24220/333,2512/37,2530/333],
[3913/37,-2336/111,630/37,-131/111],[-4500/37,4844/37,
-92/37,654/37],[-7423/37,4865/37,-351/37,627/37],
[-2170/37,-12427/333,-281/37,-1978/333],[8351/37,
39038/333,1029/37,6413/333],[5177/37,31420/333,691/37,
5023/333],[-583/37,12835/111,221/37,1834/111],[3549/37,
56975/333,728/37,8564/333],[-4407/37,-34454/333,-645/37,
-5393/333],[-10447/37,-6907/111,-1088/37,-1321/111],[
6173/37,-18970/333,420/37,-2176/333],[-11987/37,-5003/37,
-1402/37,-846/37],[-1802/37,-22960/333,-326/37,-3484/333],
[-2871/37,-43487/333,-569/37,-6560/333],[-272,-90274/333,
-42,-13999/333],[8379/37,11210/111,993/37,1883/111],[
-8358/37,-10691/111,-983/37,-1805/111],[134/37,17506/111,
388/37,2536/111],[4198/37,2768/111,438/37,527/111],[
-5029/37,79250/333,-543/37,8753/333],[-5799/37,90622/333,
-589/37,9397/333],[459/37,-9541/333,97/37,-1756/333],
[-1192/37,24154/333,-291/37,5263/333],[-37,25253/333,
-7,4553/333],[-3463/37,6346/37,-421/37,779/37],[
-4034/37,22742/111,-559/37,3167/111],[1890/37,-32734/333,
308/37,-5284/333],[-927/37,9796/333,66/37,-1553/333],
[3342/37,-50146/333,307/37,-4669/333],[834/37,-18932/333,
302/37,-5576/333],[1535/37,-25852/333,220/37,-3730/333],
[3114/37,-5676/37,431/37,-800/37],[5435/37,-90631/333,
835/37,-14095/333],[-772/37,16451/333,-239/37,4310/333],
[780/37,-14101/333,234/37,-4012/333],[-4620/37,74386/333,
-572/37,9388/333],[430/37,-3784/333,-19/37,626/333],
[6144/37,47381/333,859/37,6152/333],[6021/37,49072/333,
811/37,6034/333],[-1954/37,-11942/333,-305/37,-1925/333],
[6159/37,12197/111,993/37,2057/111],[4940/37,30136/333,
779/37,4882/333],[5616/37,4485/37,819/37,624/37],
[8594/37,518/3,1298/37,77/3],[-5332/37,-11236/111,
-830/37,-1765/111],[-3648/37,-16607/333,-643/37,-3602/333
],[-2366/37,-22450/333,-288/37,-2443/333],[-7283/37,
-40963/333,-1197/37,-7231/333],[-3424/37,-22954/333,
-524/37,-3460/333],[-6491/37,-43957/333,-989/37,-6553/333
],[-13705/37,-88748/333,-2132/37,-13778/333],[5400/37,
10385/111,880/37,1802/111],[-5104/37,-29231/333,-843/37,
-5147/333],[7683/37,54487/333,1132/37,7714/333],[1518/37,
6715/333,263/37,1441/333],[-16603/37,-98141/333,-2883/37,
-13388/333],[-13097/37,-10891/37,-2438/37,-1421/37],
[245,28931/333,37,4613/333],[-30438/37,-91625/333,
-4573/37,-14963/333],[-22559/37,-73294/333,-3434/37,
-11680/333],[-18977/37,-87881/333,-3092/37,-12641/333],
[-33548/37,-131431/333,-5284/37,-19786/333],[23252/37,
80453/333,3579/37,12566/333],[23686/37,50267/333,
3391/37,9371/333],[2007/37,4640/37,591/37,541/37],[
37756/37,105548/333,5614/37,17708/333],[377,52760/333,
59,8021/333],[25873/37,100421/333,4073/37,15182/333],
[58603/37,209039/333,9082/37,32405/333],[-27835/37,
-79538/333,-4151/37,-13235/333],[26768/37,75647/333,
3990/37,12656/333],[-27059/37,-13353/37,-4377/37,-1945/37
],[-9391/37,-6607/111,-1341/37,-1231/111],[-14433/37,
-33614/111,-2454/37,-4031/111],[-11661/37,-36692/111,
-2096/37,-4133/111],[7500/37,6116/111,1140/37,1043/111
],[-25243/37,-5962/37,-3810/37,-1093/37],[-18810/37,
-5330/37,-2868/37,-896/37],[-16108/37,-79051/333,-2605/37,
-10399/333],[-28239/37,-11593/37,-4435/37,-1676/37],[
19424/37,56663/333,2993/37,8981/333],[19348/37,10960/333,
2800/37,4768/333],[2187/37,56206/333,534/37,5599/333],
[842,6100/37,126,1238/37],[11667/37,13544/111,1824/37,
2006/111],[21778/37,78854/333,3418/37,11498/333],
[49123/37,151457/333,7607/37,23522/333],[-23026/37,
-43124/333,-3452/37,-8438/333],[22113/37,39509/333,3315/37,
7964/333],[-22965/37,-105155/333,-3689/37,-14138/333],
[-7639/37,-1462/111,-1104/37,-631/111],[-75898/37,
-92806/111,-10663/37,-11140/111],[-74113/37,-303569/333,
-10035/37,-34235/333],[24366/37,51269/333,3854/37,8717/333
],[-78248/37,-49814/111,-12589/37,-9113/111],[-61846/37,
-3592/9,-9770/37,-604/9],[-69769/37,-24219/37,-10234/37,
-3192/37],[-107356/37,-288296/333,-16282/37,-41741/333],[
67143/37,52274/111,10460/37,8297/111],[46607/37,31694/333,
8162/37,13334/333],[29782/37,154906/333,3651/37,15451/333
],[91703/37,152978/333,15016/37,30938/333],[43288/37,
12535/37,6615/37,1855/37],[82024/37,72892/111,12486/37,
10627/111],[173357/37,140050/111,26873/37,21739/111],
[-68884/37,-120364/333,-11208/37,-23470/333],[65524/37,
37009/111,10718/37,7399/111],[-96208/37,-290387/333,
-14240/37,-39116/333],[-497,-4100/111,-87,-1748/111]
])    ,
Matrix(K,18,18,
[[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],[1,0,0,0],[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],
[0,0,0,0],[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],[-1,0,0,0],[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],
[0,0,0,0],[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],[0,0,0,0],
[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],[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],
[441,0,43,0],[538,0,50,0],[-11,0,-4,0],[-7,
0,10,0],[48,0,12,0],[278,0,30,0],[276,0,35,
0],[-94,0,-16,0],[194,0,8,0],[-325,0,-28,0],
[77,0,-7,0],[-96,0,-13,0],[-202,0,-26,0],[
-288,0,-45,0],[-43,0,6,0],[53,0,-5,0],[351,0,
39,0],[-76,0,-3,0],[96,0,-4,0],[193,0,5,0],
[89,0,12,0],[-325,0,-42,0],[-210,0,-29,0],[
-27,0,-14,0],[-182,0,-34,0],[188,0,28,0],[372,
0,41,0],[-179,0,-11,0],[447,0,55,0],[88,0,15,
0],[149,0,27,0],[440,0,68,0],[-320,0,-40,0],
[315,0,39,0],[-68,0,-22,0],[-146,0,-16,0],
[-437,0,-62,0],[-423,0,-58,0],[145,0,23,0],
[-468,0,-75,0],[-368,0,-58,0],[-406,0,-60,0],
[-631,0,-96,0],[398,0,62,0],[284,0,49,0],[
168,0,21,0],[547,0,89,0],[255,0,39,0],[485,0,
74,0],[1027,0,159,0],[-414,0,-67,0],[395,0,64,
0],[-565,0,-84,0],[-110,0,-19,0],[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],[0,0,0,0],[-1,0,0,0],
[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0],
[0,0,0,0],[-374,0,-25,0],[-519,0,-37,0],[-63,
0,-7,0],[280,0,29,0],[149,0,17,0],[-162,0,-8,
0],[-26,0,6,0],[-96,0,-13,0],[-444,0,-40,0],
[368,0,28,0],[-437,0,-43,0],[-9,0,-4,0],[3,0,
-6,0],[-191,0,-29,0],[301,0,30,0],[-304,0,-30,
0],[-174,0,-7,0],[177,0,16,0],[678,0,99,0],
[638,0,91,0],[-242,0,-38,0],[791,0,125,0],[
613,0,96,0],[646,0,97,0],[1025,0,157,0],[-656,
0,-102,0],[-510,0,-84,0],[-233,0,-31,0],[-940,
0,-150,0],[-416,0,-64,0],[-791,0,-121,0],[-1691,
0,-262,0],[705,0,112,0],[-671,0,-107,0],[902,
0,136,0],[200,0,33,0],[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],[0,0,0,0],
[0,0,0,0],[-1,0,0,0],[1,0,0,0],[0,0,0,0],
[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0],
[-881,0,-127,0],[-843,0,-118,0],[306,0,48,0],
[-988,0,-157,0],[-770,0,-121,0],[-834,0,-124,
0],[-1304,0,-199,0],[830,0,129,0],[618,0,104,
0],[318,0,41,0],[1168,0,188,0],[528,0,81,0],
[999,0,153,0],[2136,0,331,0],[-873,0,-140,0],
[833,0,134,0],[-1155,0,-173,0],[-244,0,-41,0],
[-371,0,-82,0],[-191,0,-62,0],[317,0,47,0],
[-1102,0,-160,0],[-791,0,-118,0],[-538,0,-96,
0],[-1070,0,-173,0],[791,0,121,0],[959,0,127,
0],[-94,0,7,0],[1411,0,200,0],[452,0,72,0],
[832,0,134,0],[1979,0,306,0],[-1029,0,-147,0],
[999,0,142,0],[-795,0,-138,0],[-378,0,-50,0],
[160,0,27,0],[129,0,23,0],[-78,0,-12,0],[271,
0,41,0],[203,0,31,0],[172,0,28,0],[305,0,48,
0],[-207,0,-32,0],[-206,0,-30,0],[-27,0,-6,0],
[-341,0,-51,0],[-128,0,-20,0],[-237,0,-37,0],
[-538,0,-83,0],[246,0,37,0],[-241,0,-36,0],[
249,0,40,0],[82,0,12,0],[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],[-1,0,0,0],[0,0,0,0],
[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0],
[6,0,-10,0],[67,0,-4,0],[69,0,10,0],[-256,
0,-35,0],[-174,0,-25,0],[-66,0,-16,0],[-192,0,
-33,0],[166,0,25,0],[261,0,31,0],[-87,0,-4,0],
[344,0,45,0],[85,0,14,0],[155,0,26,0],[403,
0,62,0],[-248,0,-33,0],[244,0,32,0],[-112,0,
-24,0],[-101,0,-12,0],[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],[1,0,0,0],[0,0,0,0],
[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0],
[-1564,0,-158,0],[-1871,0,-179,0],[88,0,21,0],
[-125,0,-56,0],[-262,0,-56,0],[-1029,0,-116,0],
[-1080,0,-142,0],[425,0,71,0],[-543,0,-11,0],
[1112,0,98,0],[-96,0,48,0],[390,0,54,0],
[804,0,107,0],[1247,0,194,0],[7,0,-41,0],
[-48,0,36,0],[-1310,0,-152,0],[221,0,5,0]])
]> where w := K.1 where K := ext<K|Polynomial(K,[81,0,19,0,1])>
where K is RationalField();

return _LR;
