//Standard generators of the Janko group J3 are a and b where a has order 2, b
//Elements of ordfer 6,12 or 15 power to 3A
//is in class 3A, ab has order 19 and ababb has order 9.
//Elements of ordfer 6,12 or 15 power to 3A

_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [a, b^-1] ] where a is (_LR`F).1 where b is (_LR`F).2;

//two constituents
_LR`G :=
/*
Original group: PermutationGroup(ATLASGroup("J3"))
From DB /nb/reps/d85.J3.nfdeg2.M
Schur index: 1
Character: ( 85, 5, -5, 4, 1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 
-zeta(19)_19^17 - zeta(19)_19^16 - zeta(19)_19^11 - zeta(19)_19^9 - 
zeta(19)_19^7 - zeta(19)_19^6 - zeta(19)_19^5 - zeta(19)_19^4 - zeta(19)_19 - 1,
zeta(19)_19^17 + zeta(19)_19^16 + zeta(19)_19^11 + zeta(19)_19^9 + zeta(19)_19^7
+ zeta(19)_19^6 + zeta(19)_19^5 + zeta(19)_19^4 + zeta(19)_19 )
*/

MatrixGroup<85,K | [
Matrix(SparseMatrix(K,85,85,[<1,2,-1>,<1,3,-1>,<1,6,
-1>,<1,10,1>,<1,11,-1>,<1,16,1>,<1,17,1>,<2,2,1>,
<2,3,1>,<2,6,1>,<2,8,1>,<2,10,-1>,<2,11,1>,<2,16,
-1>,<2,17,-1>,<3,1,-1>,<3,2,-1>,<3,3,-1>,<3,5,-1>,
<3,6,-1>,<3,16,1>,<3,17,1>,<4,8,-1>,<4,15,-1>,<5,
3,-1>,<5,6,-1>,<5,8,-1>,<5,15,-1>,<6,1,1>,<6,2,1>,
<6,3,1>,<6,4,1>,<6,6,1>,<6,16,-1>,<6,17,-1>,<7,4,
-1>,<7,6,1>,<7,10,-1>,<7,11,1>,<7,14,1>,<7,16,-1>,
<8,1,1>,<8,2,1>,<9,9,1>,<10,6,1>,<10,8,1>,<10,11,
1>,<10,15,1>,<11,1,-1>,<11,2,-1>,<11,3,-1>,<11,6,
-1>,<11,10,1>,<11,16,1>,<11,17,1>,<12,1,-1>,<12,4,
-1>,<12,7,1>,<12,8,-1>,<12,9,-1>,<12,10,-2>,<12,11,
1>,<12,12,-1>,<12,14,1>,<12,15,-1>,<12,16,-1>,<13,1,
-1>,<13,2,-1>,<13,5,-1>,<13,6,-1>,<13,8,1>,<13,9,1>,
<13,10,1>,<13,13,-1>,<13,14,-1>,<13,15,1>,<13,16,1>,
<13,17,1>,<14,4,-1>,<14,6,1>,<14,10,-1>,<14,11,1>,
<14,14,1>,<15,1,-1>,<15,2,-1>,<15,4,-1>,<16,7,-1>,
<16,14,1>,<17,4,1>,<17,5,-1>,<17,6,-1>,<17,7,1>,<17,
14,-1>,<17,15,-1>,<18,18,2>,<18,19,1>,<18,20,2>,<18,
29,1>,<18,30,-1>,<18,31,-1>,<18,35,-1>,<18,36,-1>,<18,
42,1>,<18,45,1>,<18,48,2>,<18,51,-1>,<18,52,-1>,<18,
53,-1>,<18,54,1>,<18,55,1>,<18,56,-1>,<18,65,1>,<18,
76,1>,<18,79,2>,<18,83,1>,<19,18,-1>,<19,19,1>,<19,
20,-1>,<19,28,-1>,<19,29,1>,<19,30,-1>,<19,42,1>,<19,
46,-1>,<19,48,-1>,<19,51,1>,<19,58,1>,<19,60,1>,<19,
61,1>,<19,65,-1>,<19,69,1>,<19,78,2>,<19,79,1>,<19,
82,-1>,<19,83,-1>,<19,85,-1>,<20,20,-1>,<20,27,-1>,
<20,30,1>,<20,31,1>,<20,36,1>,<20,37,-1>,<20,40,-2>,
<20,42,-1>,<20,45,2>,<20,46,1>,<20,52,-1>,<20,53,1>,
<20,54,-1>,<20,57,1>,<20,61,-1>,<20,65,-1>,<20,69,-1>,
<20,80,1>,<20,83,-1>,<21,18,1>,<21,19,1>,<21,20,1>,
<21,22,1>,<21,27,1>,<21,28,-1>,<21,30,-1>,<21,35,-1>,
<21,36,-1>,<21,40,1>,<21,42,1>,<21,45,-1>,<21,48,1>,
<21,49,1>,<21,51,-1>,<21,53,-1>,<21,54,1>,<21,55,1>,
<21,57,-1>,<21,67,1>,<21,83,1>,<22,19,1>,<22,21,-1>,
<22,28,-1>,<22,29,2>,<22,30,-1>,<22,33,-1>,<22,35,-1>,
<22,36,-2>,<22,37,1>,<22,40,2>,<22,45,-1>,<22,46,-2>,
<22,50,1>,<22,54,1>,<22,57,-1>,<22,58,-1>,<22,74,-2>,
<23,19,1>,<23,20,1>,<23,28,-1>,<23,29,1>,<23,31,-1>,
<23,34,1>,<23,35,-1>,<23,36,-1>,<23,37,1>,<23,40,1>,
<23,45,1>,<23,46,-1>,<23,48,1>,<23,49,1>,<23,50,-1>,
<23,56,-1>,<23,57,-1>,<23,61,-1>,<23,65,1>,<23,67,1>,
<23,71,1>,<23,79,1>,<23,82,-1>,<23,83,-1>,<23,85,-1>,
<24,19,1>,<24,20,2>,<24,21,1>,<24,23,1>,<24,27,-1>,
<24,29,1>,<24,31,-1>,<24,32,-1>,<24,33,1>,<24,35,-1>,
<24,38,-1>,<24,45,2>,<24,48,2>,<24,49,1>,<24,50,-1>,
<24,51,-2>,<24,52,-1>,<24,55,1>,<24,56,-1>,<24,57,-1>,
<24,58,1>,<24,59,1>,<24,61,-1>,<24,65,1>,<24,67,3>,<24,
71,2>,<24,74,1>,<24,78,1>,<24,79,2>,<24,80,1>,<24,81,
1>,<24,82,-1>,<24,83,-1>,<24,85,-1>,<25,18,1>,<25,19,
1>,<25,20,2>,<25,29,2>,<25,30,-1>,<25,31,-1>,<25,35,
-1>,<25,36,-2>,<25,37,1>,<25,39,1>,<25,40,1>,<25,46,
-1>,<25,48,1>,<25,51,-1>,<25,55,1>,<25,56,-1>,<25,57,
-1>,<25,59,1>,<25,65,1>,<25,74,-1>,<25,79,1>,<25,81,
1>,<26,18,1>,<26,20,1>,<26,22,-1>,<26,24,1>,<26,27,
1>,<26,29,-1>,<26,35,1>,<26,38,1>,<26,42,-1>,<26,46,
2>,<26,49,-1>,<26,60,-1>,<26,65,1>,<26,71,-2>,<26,74,
1>,<26,78,1>,<26,79,-1>,<26,82,1>,<26,83,2>,<26,85,
1>,<27,18,-1>,<27,21,1>,<27,24,-1>,<27,27,-1>,<27,29,
-2>,<27,30,1>,<27,34,1>,<27,36,-1>,<27,42,-1>,<27,45,
1>,<27,46,1>,<27,48,-1>,<27,49,1>,<27,50,-1>,<27,51,
2>,<27,54,-1>,<27,58,-1>,<27,61,-2>,<27,65,1>,<27,67,
-1>,<27,74,-1>,<27,78,-2>,<27,81,-1>,<27,82,-1>,<28,
20,1>,<28,27,-1>,<28,29,1>,<28,30,-1>,<28,31,-1>,<28,
35,-1>,<28,36,-1>,<28,38,-1>,<28,45,1>,<28,46,-1>,<28,
59,1>,<28,65,1>,<28,67,1>,<28,71,1>,<28,74,-2>,<28,79,
1>,<28,80,1>,<28,81,1>,<28,82,-1>,<29,18,-1>,<29,19,
-1>,<29,20,-1>,<29,28,-1>,<29,30,-1>,<29,36,-1>,<29,
40,1>,<29,45,-1>,<29,46,-1>,<29,48,-2>,<29,51,1>,<29,
52,1>,<29,56,1>,<29,61,1>,<29,69,1>,<29,74,-1>,<29,82,
-1>,<30,19,1>,<30,22,1>,<30,23,-1>,<30,24,1>,<30,26,
-1>,<30,28,-1>,<30,33,-1>,<30,35,-1>,<30,36,-1>,<30,
37,-1>,<30,45,1>,<30,46,1>,<30,49,1>,<30,52,-1>,<30,
55,1>,<30,56,-1>,<30,57,-1>,<30,59,1>,<30,61,-1>,<30,
69,-1>,<30,80,1>,<30,82,-1>,<30,83,1>,<31,18,-1>,<31,
20,-1>,<31,22,1>,<31,24,1>,<31,26,-1>,<31,29,-3>,<31,
32,-1>,<31,36,1>,<31,37,-2>,<31,40,-1>,<31,45,2>,<31,
46,2>,<31,49,1>,<31,50,-1>,<31,51,-1>,<31,52,-1>,<31,
58,1>,<31,61,-1>,<31,67,2>,<31,74,2>,<31,78,1>,<31,80,
1>,<31,82,-1>,<31,83,1>,<32,19,-1>,<32,22,1>,<32,24,
1>,<32,27,1>,<32,29,1>,<32,30,-1>,<32,36,-1>,<32,38,
-1>,<32,40,1>,<32,45,-1>,<32,46,-1>,<32,48,-1>,<32,52,
1>,<32,57,-1>,<32,61,1>,<32,65,1>,<32,67,1>,<32,71,1>,
<32,76,-1>,<32,80,1>,<32,81,1>,<33,19,1>,<33,20,-1>,
<33,22,-2>,<33,23,1>,<33,24,-1>,<33,28,1>,<33,35,1>,
<33,36,2>,<33,41,-1>,<33,42,1>,<33,45,-1>,<33,48,-1>,
<33,49,-1>,<33,50,1>,<33,55,-1>,<33,65,-1>,<33,67,-1>,
<33,71,1>,<33,78,1>,<33,80,-1>,<33,82,-1>,<33,83,-1>,
<34,18,1>,<34,20,-1>,<34,22,-1>,<34,23,1>,<34,28,1>,
<34,31,1>,<34,32,1>,<34,34,-1>,<34,36,3>,<34,37,-1>,
<34,40,-2>,<34,41,-1>,<34,42,1>,<34,46,1>,<34,49,-1>,
<34,50,1>,<34,51,-1>,<34,52,-1>,<34,55,-1>,<34,57,1>,
<34,65,-2>,<34,69,-1>,<34,79,-2>,<34,81,1>,<34,82,1>,
<34,85,1>,<35,19,-1>,<35,20,1>,<35,21,-1>,<35,22,2>,
<35,23,1>,<35,28,1>,<35,30,-2>,<35,31,-1>,<35,32,-1>,
<35,33,1>,<35,36,-2>,<35,38,-1>,<35,40,1>,<35,45,-1>,
<35,46,-2>,<35,48,2>,<35,51,-2>,<35,53,-1>,<35,55,1>,
<35,56,1>,<35,61,2>,<35,65,1>,<35,67,1>,<35,69,2>,
<35,74,1>,<35,76,1>,<35,78,1>,<35,79,3>,<35,81,1>,
<35,85,-1>,<36,18,-1>,<36,19,-1>,<36,20,-1>,<36,21,
-1>,<36,27,-1>,<36,29,1>,<36,30,1>,<36,33,-1>,<36,36,
-1>,<36,37,1>,<36,42,-1>,<36,46,-1>,<36,48,-1>,<36,
49,-1>,<36,51,1>,<36,55,-1>,<36,58,-1>,<36,61,-1>,
<36,67,-1>,<36,74,-1>,<36,78,-1>,<36,79,-1>,<36,81,
-1>,<37,30,-1>,<37,33,-1>,<37,35,-2>,<37,36,-2>,<37,
40,1>,<37,42,-1>,<37,46,-1>,<37,48,-1>,<37,51,1>,<37,
54,1>,<37,56,1>,<37,58,-2>,<37,61,-1>,<37,65,1>,<37,
71,-1>,<37,74,-3>,<37,78,-2>,<37,79,-2>,<37,83,1>,<37,
85,1>,<38,18,-1>,<38,20,1>,<38,21,-1>,<38,23,1>,<38,
24,1>,<38,26,1>,<38,27,-1>,<38,29,1>,<38,31,-1>,<38,
37,1>,<38,38,-1>,<38,41,1>,<38,42,-1>,<38,45,1>,<38,
46,-1>,<38,48,1>,<38,50,-1>,<38,53,1>,<38,54,-1>,<38,
55,-1>,<38,65,1>,<38,67,2>,<38,76,-1>,<38,78,1>,<38,
80,1>,<38,81,1>,<38,82,1>,<38,83,-1>,<39,18,1>,<39,
19,-2>,<39,20,-1>,<39,21,1>,<39,23,-1>,<39,25,1>,<39,
31,1>,<39,34,-1>,<39,37,-1>,<39,40,-1>,<39,46,1>,<39,
48,-1>,<39,51,-1>,<39,55,1>,<39,71,1>,<39,76,1>,<39,
78,-2>,<39,82,1>,<39,83,1>,<39,85,1>,<40,18,2>,<40,
19,1>,<40,20,1>,<40,22,-1>,<40,29,1>,<40,30,-1>,<40,
41,-1>,<40,42,1>,<40,46,1>,<40,49,-1>,<40,50,1>,<40,
52,-1>,<40,53,-1>,<40,54,1>,<40,56,-1>,<40,67,-1>,<40,
74,-1>,<40,79,1>,<40,83,1>,<40,85,1>,<41,18,1>,<41,
20,1>,<41,21,1>,<41,22,-1>,<41,23,1>,<41,26,1>,<41,
27,-1>,<41,28,1>,<41,31,1>,<41,33,1>,<41,35,-1>,<41,
36,1>,<41,40,-1>,<41,42,-1>,<41,45,2>,<41,46,1>,<41,
50,-1>,<41,52,-1>,<41,54,-1>,<41,57,1>,<41,59,-1>,<41,
61,-1>,<41,65,1>,<41,71,-1>,<41,78,-1>,<41,82,1>,<41,
83,-1>,<41,85,1>,<42,18,1>,<42,19,1>,<42,20,1>,<42,
27,-1>,<42,28,1>,<42,35,-1>,<42,36,1>,<42,37,-1>,<42,
40,-1>,<42,45,1>,<42,46,1>,<42,48,1>,<42,50,1>,<42,
51,-1>,<42,52,-1>,<42,59,1>,<42,61,-1>,<42,69,-1>,<42,
71,-1>,<42,74,-1>,<42,79,-1>,<42,83,1>,<42,85,1>,<43,
18,1>,<43,19,1>,<43,20,-1>,<43,21,1>,<43,22,1>,<43,
23,-1>,<43,26,-1>,<43,29,-2>,<43,30,-1>,<43,31,1>,
<43,34,1>,<43,36,-1>,<43,37,-2>,<43,40,-1>,<43,42,-1>,
<43,45,1>,<43,46,2>,<43,48,-2>,<43,51,2>,<43,52,-1>,
<43,53,1>,<43,55,1>,<43,58,-1>,<43,59,1>,<43,61,-2>,
<43,65,1>,<43,67,-1>,<43,71,-1>,<43,74,-1>,<43,75,1>,
<43,78,-1>,<43,80,1>,<43,82,-2>,<43,83,1>,<43,85,1>,
<44,18,1>,<44,21,-1>,<44,23,1>,<44,24,1>,<44,27,1>,
<44,28,1>,<44,29,-2>,<44,30,-2>,<44,32,-1>,<44,33,1>,
<44,36,-1>,<44,40,2>,<44,42,-1>,<44,45,-2>,<44,48,1>,
<44,50,1>,<44,51,-2>,<44,54,1>,<44,56,1>,<44,57,-1>,
<44,58,-1>,<44,59,-1>,<44,60,-1>,<44,61,1>,<44,64,1>,
<44,65,1>,<44,67,2>,<44,69,1>,<44,71,-1>,<44,78,1>,
<44,81,1>,<44,82,1>,<44,83,1>,<44,85,1>,<45,18,1>,
<45,19,1>,<45,20,1>,<45,26,1>,<45,30,-1>,<45,34,1>,
<45,35,-1>,<45,36,-2>,<45,37,1>,<45,40,1>,<45,42,-1>,
<45,51,1>,<45,57,-1>,<45,58,-1>,<45,61,-1>,<45,65,2>,
<45,71,-1>,<45,74,-2>,<45,78,-1>,<45,85,1>,<46,19,
-1>,<46,20,1>,<46,22,-1>,<46,24,1>,<46,26,1>,<46,28,
-1>,<46,29,2>,<46,30,-1>,<46,31,1>,<46,35,-1>,<46,36,
-1>,<46,37,1>,<46,40,2>,<46,42,-1>,<46,46,-1>,<46,48,
-2>,<46,51,1>,<46,52,1>,<46,56,1>,<46,59,-1>,<46,61,
1>,<46,65,1>,<46,71,-1>,<46,74,-2>,<46,76,-1>,<46,78,
-1>,<46,79,-1>,<46,82,1>,<46,85,1>,<47,20,1>,<47,21,
1>,<47,22,-1>,<47,24,-1>,<47,27,-1>,<47,28,2>,<47,30,
1>,<47,31,-1>,<47,36,1>,<47,38,-1>,<47,40,-1>,<47,41,
-1>,<47,42,1>,<47,45,2>,<47,51,-1>,<47,55,-1>,<47,56,
-1>,<47,59,1>,<47,61,-2>,<47,65,1>,<47,69,-1>,<47,71,
3>,<47,72,1>,<47,74,-1>,<47,78,-2>,<47,82,-1>,<48,18,
-1>,<48,19,-1>,<48,21,1>,<48,29,-2>,<48,31,-1>,<48,32,
-1>,<48,33,1>,<48,40,1>,<48,49,1>,<48,50,-1>,<48,51,
-1>,<48,52,1>,<48,57,-1>,<48,58,1>,<48,65,1>,<48,67,
2>,<48,69,1>,<48,71,1>,<48,74,1>,<48,82,-1>,<49,19,
-2>,<49,22,1>,<49,27,1>,<49,29,-1>,<49,30,-1>,<49,31,
-1>,<49,36,-3>,<49,40,1>,<49,41,1>,<49,42,-1>,<49,45,
-1>,<49,46,-1>,<49,50,-1>,<49,52,1>,<49,55,1>,<49,56,
1>,<49,58,-1>,<49,60,-1>,<49,61,1>,<49,65,2>,<49,67,
1>,<49,69,1>,<49,76,1>,<49,78,-1>,<49,79,1>,<49,81,
1>,<49,83,1>,<50,19,-1>,<50,21,2>,<50,23,-1>,<50,26,
1>,<50,30,1>,<50,31,1>,<50,32,1>,<50,36,-1>,<50,40,
-1>,<50,41,1>,<50,42,-2>,<50,45,1>,<50,46,1>,<50,48,
-1>,<50,50,-1>,<50,51,2>,<50,53,2>,<50,54,-1>,<50,55,
1>,<50,57,1>,<50,58,-1>,<50,61,-1>,<50,65,1>,<50,67,
-1>,<50,71,-1>,<50,74,-1>,<50,78,-3>,<50,79,-1>,<50,
82,2>,<50,83,-1>,<50,85,1>,<51,20,-1>,<51,21,1>,<51,
22,-1>,<51,23,-1>,<51,24,-1>,<51,27,-1>,<51,30,1>,<51,
31,-1>,<51,40,-1>,<51,45,1>,<51,53,1>,<51,56,-1>,<51,
59,1>,<51,61,-1>,<51,71,2>,<51,74,-1>,<51,76,1>,<51,
78,-1>,<51,79,1>,<51,82,-1>,<51,83,-1>,<52,18,-1>,<52,
19,1>,<52,21,1>,<52,23,-1>,<52,28,-2>,<52,29,1>,<52,
34,1>,<52,36,-1>,<52,37,1>,<52,42,-1>,<52,45,1>,<52,
48,-1>,<52,50,-1>,<52,51,2>,<52,53,1>,<52,56,-1>,<52,
57,-1>,<52,58,1>,<52,59,1>,<52,61,-1>,<52,67,1>,<52,
71,1>,<52,76,-1>,<52,78,1>,<52,79,1>,<52,80,1>,<52,
82,-2>,<52,83,-2>,<52,85,-1>,<53,19,1>,<53,20,-1>,
<53,21,-1>,<53,22,-1>,<53,26,-1>,<53,28,-1>,<53,33,
-1>,<53,35,-1>,<53,36,1>,<53,37,-1>,<53,38,1>,<53,41,
-1>,<53,42,1>,<53,45,1>,<53,48,-1>,<53,50,1>,<53,54,
1>,<53,55,-1>,<53,61,-1>,<53,65,-1>,<53,69,-1>,<53,74,
-1>,<53,78,1>,<53,79,-2>,<53,81,-1>,<53,82,-2>,<53,83,
1>,<54,18,1>,<54,19,-1>,<54,21,-1>,<54,24,1>,<54,27,
1>,<54,29,1>,<54,30,-1>,<54,36,-1>,<54,37,1>,<54,40,
1>,<54,42,-1>,<54,45,-1>,<54,46,-1>,<54,49,-1>,<54,51,
-1>,<54,52,1>,<54,57,-1>,<54,60,-1>,<54,61,1>,<54,65,
1>,<54,67,1>,<54,74,1>,<54,78,1>,<54,81,1>,<55,18,
-1>,<55,19,-1>,<55,27,-1>,<55,28,2>,<55,29,1>,<55,30,
1>,<55,31,-1>,<55,34,-1>,<55,37,1>,<55,38,-1>,<55,42,
-1>,<55,45,-1>,<55,46,-2>,<55,48,1>,<55,49,-1>,<55,
50,1>,<55,51,-1>,<55,53,1>,<55,55,-1>,<55,58,-1>,<55,
59,1>,<55,71,1>,<55,74,-1>,<55,78,-1>,<55,79,-1>,<55,
81,1>,<55,82,1>,<55,83,-1>,<56,18,1>,<56,21,1>,<56,
22,-1>,<56,26,1>,<56,30,-1>,<56,33,1>,<56,35,-1>,<56,
48,-1>,<56,52,1>,<56,57,-1>,<56,65,1>,<56,67,1>,<56,
74,-1>,<56,79,-1>,<56,82,-1>,<56,85,1>,<57,21,1>,<57,
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[3/20,0],[-3/20,1/20],[-1/4,-3/20],[-1/20,1/20],
[1/4,1/10],[3/10,1/10],[-1/5,-1/10],[0,1/20],[
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[1/4,1/10],[-1/8,-7/120],[53/120,53/120],[-3/10,
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[53/120,11/120],[7/20,-3/20],[-1/10,1/40],[1/12,
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2/15],[-1/8,-13/120],[-17/40,-1/5],[-1/5,-13/60],
[19/120,-1/30],[143/120,-5/24],[-7/40,-13/120],[
19/24,3/20],[-13/60,-2/15],[3/10,-1/15],[-43/120,
-13/120],[17/120,1/40],[-23/120,-1/20],[43/60,1/5],
[17/30,-1/120],[-13/20,-21/40],[1/30,1/120],[-3/40,
-29/120],[-7/30,-1/8],[7/60,9/40],[-19/120,-1/20],
[-17/60,-1/10],[-61/120,-1/20],[-1/10,0],[1/15,
-11/40],[-21/40,-1/4],[-1/12,7/30],[-29/60,11/60],
[-119/120,9/40],[17/60,5/24],[1/120,9/40],[79/120,
5/24],[73/120,9/40],[-19/30,-29/120],[7/40,1/10
],[-23/120,-1/12],[-139/120,-11/20],[7/20,1/5],
[11/120,-1/10],[-1/40,3/20],[1/10,-3/20],[3/10,
3/10],[7/20,3/20],[-1/2,-1/4],[2/5,1/10],[3/5,
-1/5],[-9/20,-7/20],[3/5,1/10],[11/20,11/20],[
-1/5,1/20],[1/2,1/20],[0,-1/20],[-1/10,-3/20],[
-3/20,-1/5],[1/4,1/4],[-7/20,-1/20],[-21/20,-1/20],
[7/15,23/120],[-1/15,1/8],[3/5,-11/30],[-17/120,
-3/20],[-1/20,-7/120],[-3/8,3/40],[1/120,-1/15],
[1/10,-17/60],[1/60,1/30],[-13/120,-1/120],[-21/40,
-79/120],[1/60,1/20],[-7/40,-7/40],[-37/120,-19/60],
[-1/40,29/120],[-1/15,-1/24],[17/60,17/120],[2/5,
7/60],[-1/5,-7/60],[1/3,-1/6],[7/120,1/24],[-1/5,
1/24],[3/5,-19/120],[21/40,19/120],[31/120,31/60],
[79/120,1/120],[37/120,1/8],[-13/10,-13/30],[-9/40,
-1/15],[29/120,1/15],[-1/4,1/60],[31/120,29/120],
[1/8,3/20],[0,1/20],[77/120,3/10],[-11/120,3/20],
[-7/40,-7/40],[1/12,17/120],[-19/120,9/40],[-3/10,
-19/120],[17/40,-1/120],[-13/120,1/120],[-17/60,
-1/10],[47/40,7/12],[31/120,19/120],[-1/3,17/60],
[-47/120,-7/60],[-1/60,-23/40],[1/60,0],[-109/120,
11/120],[71/120,-1/40],[67/120,13/120],[3/20,1/15],
[-7/120,-3/10],[1/20,1/120],[-5/12,1/40],[1/40,
1/24],[13/40,-17/60],[-7/60,-1/12],[-1/10,-13/120],
[1/60,13/24],[5/24,1/8],[-103/120,-1/12],[1/24,
3/20],[2/5,1/120],[5/6,-11/40],[-7/20,-7/60],
[31/60,1/40],[1/20,-1/20],[-1/10,-1/10],[-1/20,
-7/20],[7/10,1/20],[-1/5,3/10],[-7/20,-1/20],
[9/20,1/10],[-1/5,0],[-1/2,-9/20],[1/2,3/20],[
-9/10,-1/4],[-3/20,-3/20],[2/5,7/20],[-13/20,3/20],
[1/20,1/4],[3/5,9/20],[1/2,3/10],[-19/40,-7/20],
[-3/10,-4/15],[-13/120,-1/6],[13/24,3/20],[23/60,
-1/5],[-13/40,-3/20],[29/60,-1/10],[-9/40,19/120],
[-1/40,-4/15],[19/120,-1/12],[-19/40,29/60],[-37/60,
-17/30],[-19/40,7/120],[31/120,-1/20],[2/15,-1/5],
[-9/40,7/30],[-7/30,1/15],[3/20,-1/120],[83/120,
7/40],[-11/120,-7/120],[-1/20,-1/10],[17/60,11/40],
[-17/40,-3/20],[1/60,1/10],[2/15,-17/120],[-2/15,
-11/60],[-17/120,1/15],[7/24,11/20],[3/20,-1/60],
[31/40,1/40],[-29/120,1/24],[23/120,-7/120],[-11/24,
-7/30],[49/120,53/120],[-1/20,1/40],[-71/120,11/120],
[2/5,1/15],[7/120,1/12],[11/30,-1/30],[1/40,7/24
],[-11/120,-1/60],[-31/40,-13/60],[77/120,13/60],
[11/20,-1/30],[-17/30,-2/15],[53/120,9/40],[59/60,
17/120],[-1/5,1/3],[-11/60,-1/12],[1/3,-17/120],
[47/120,13/120],[0,3/40],[-77/120,-3/40],[23/40,
1/40],[-1/120,-11/40],[13/120,1/60],[-21/40,3/40],
[0,7/40],[-37/120,1/10],[23/40,-1/20],[11/60,
-7/120],[-1/8,23/60],[23/60,1/15],[1/24,-1/12],[
49/120,-19/60],[11/40,-3/40],[37/120,1/6],[-13/30,
-41/120],[-7/10,-1/5],[-19/20,0],[-11/20,-1/10],
[-7/20,1/20],[9/20,3/20],[-1/10,0],[9/20,-1/20],
[7/10,1/4],[-7/20,1/10],[0,0],[-7/20,0],[1/5,
1/10],[1,3/10],[-3/20,-3/20],[7/20,1/20],[17/20,
1/10],[3/10,-3/20],[-71/120,11/40],[-1/20,11/40],
[-5/12,3/20],[11/120,-1/30],[-7/24,3/5],[11/60,
-1/20],[1/24,-2/15],[-7/30,-1/10],[1/15,-1/5],
[-2/15,1/12],[-59/120,9/40],[11/60,-1/5],[-7/20,
-1/60],[-1/40,-1/10],[7/120,-1/15],[-4/15,0],[0,
-1/15],[-3/20,3/40],[13/120,7/30],[13/120,7/120],
[-1/30,-1/40],[-9/40,1/24],[-1/10,-11/60],[1/24,
1/10],[7/60,3/20],[-1/20,1/30],[-1/40,-31/120],
[1/6,-43/120],[-1/4,-11/30],[-1/30,1/30],[-17/30,
11/120],[-7/120,1/15],[-1/3,-1/10],[7/15,-1/5],
[-13/60,-7/120],[-17/60,-11/120],[29/120,17/120],[
1/40,1/12],[2/5,1/12],[-7/30,-11/60],[1/24,-1/6],
[1/8,17/120],[9/20,3/40],[1/30,-17/60],[-37/120,
4/15],[1/10,-1/40],[-11/120,17/120],[-1/30,1/8],
[37/120,13/120],[17/60,-9/40],[-1/120,1/12],[7/30,
-1/120],[-49/120,-31/120],[-17/40,1/5],[1/10,1/40],
[1/3,11/60],[-13/40,17/60],[-5/12,11/120],[-7/30,
-1/24],[47/120,-1/120],[-1/15,-1/6],[-7/40,-19/120
],[-23/120,-13/60],[1/60,7/40],[1/120,-31/120],
[-83/120,-7/40],[-2/15,7/120],[11/30,1/40],[
3/20,-1/20],[-3/20,-1/10],[0,-1/5],[3/20,-1/20],
[-3/10,1/10],[-1/2,-3/20],[9/10,7/20],[-1/4,-1/5],
[-17/20,-7/20],[-3/20,-1/10],[-7/20,0],[-1/4,-1/4],
[-1/5,-1/20],[1/4,1/20],[1/10,0],[3/10,1/20],
[17/20,1/5],[-121/60,-11/120],[-79/120,-19/30],[
37/30,7/20],[13/30,1/12],[49/120,23/120],[-67/120,
1/15],[-11/60,-1/6],[1/12,31/120],[5/12,19/120],[
47/120,1/60],[-73/120,0],[-7/20,11/60],[7/120,7/60],
[7/15,-1/60],[-37/60,-1/40],[-11/20,-1/12],[-19/60,
-7/60],[13/24,17/120],[-61/40,-2/5],[13/60,2/15],
[-23/60,-13/60],[-1/3,1/24],[26/15,7/120],[-11/30,
1/24],[-71/120,-1/24],[-13/24,-7/20],[-31/40,1/24],
[39/40,13/120],[37/40,3/20],[61/120,19/120],[-7/24,
-11/120],[23/60,1/24],[-19/40,-29/120],[4/5,-7/40],
[13/20,-23/120],[-19/60,-5/24],[-31/120,-17/120],
[-31/120,-7/120],[41/120,1/6],[1/5,-1/15],[-7/20,
-3/40],[1/24,1/24],[7/120,-23/120],[-3/8,-19/40],[
-43/60,-1/8],[-19/120,41/120],[1/120,2/15],[143/120,
53/120],[-29/60,1/20],[2/15,13/40],[1/10,1/40],
[1/6,0],[1/30,1/60],[14/15,31/60],[-29/120,1/60],
[4/15,0],[-17/12,-11/120],[-21/20,-9/40],[-23/120,
3/40],[13/20,-5/24],[-1/4,-67/120],[23/24,3/5],[
13/60,1/5],[-1/5,1/40],[17/60,17/60],[11/60,7/120],
[53/120,1/8],[-37/120,0],[7/20,1/20],[0,1/10],[
-3/5,1/10],[-6/5,-1/20],[7/10,-1/20],[-1/4,-1/20],
[-1/5,1/10],[-3/20,3/20],[1/10,1/10],[-1/10,3/20
],[1/20,1/20],[-3/10,-1/20],[-1/10,-1/5],[3/4,
-3/10],[11/20,3/10],[-1/20,1/20],[1/10,1/20],[
-1/120,11/24],[217/120,1/12],[41/30,-43/120],[47/120,
-1/15],[-13/15,-3/10],[-29/60,-3/10],[-17/40,1/8],
[13/120,-7/15],[1/8,7/60],[-17/24,1/60],[-61/60,
-31/120],[8/15,-2/5],[7/120,9/40],[-9/20,-5/24],[
-3/40,13/120],[-13/30,-1/120],[17/40,-3/40],[-1/20,
29/120],[19/20,1/3],[-17/120,-1/3],[1/10,29/120],
[-67/120,-19/120],[1/12,-5/24],[2/5,3/40],[2/15,
1/24],[49/120,-1/40],[-1/10,1/6],[77/120,7/60],
[17/60,53/120],[3/20,3/20],[7/20,-19/120],[13/40,
1/15],[-11/120,3/40],[79/60,29/120],[-3/8,1/60],
[17/60,13/60],[77/120,-1/15],[37/60,1/24],[19/120,
-1/6],[17/40,-1/60],[9/40,1/10],[9/10,19/120],
[3/10,-7/30],[-17/120,-1/24],[-1/40,1/12],[-1/12,
-1/6],[-11/120,-1/6],[-1/24,11/120],[-7/120,-7/30],
[-1/6,1/40],[-29/60,-1/12],[-13/40,-4/15],[-23/60,
-11/30],[-19/120,29/120],[-7/30,1/15],[1/8,1/8],
[-5/6,71/120],[47/60,7/60],[-19/120,4/15],[13/40,
-1/120],[19/40,-1/30],[-23/120,1/24],[-5/24,-1/30],
[-23/120,-3/20],[-19/30,-91/120],[29/120,13/60],[
1/40,1/24],[-1/5,43/120],[7/20,1/10],[1/20,1/20],
[1/4,-1/20],[11/20,3/20],[-3/5,7/20],[2/5,1/10],
[-3/4,1/20],[11/20,-1/20],[9/20,-3/20],[7/10,3/20
],[-1/10,-3/10],[7/10,-1/10],[-1/10,3/20],[-1/20,
0],[3/4,1/4],[3/10,1/5],[2/5,1/5],[1/4,-3/20],
[-1/6,-23/40],[-17/24,-7/12],[11/24,-11/120],[-31/60,
-1/8],[-61/120,1/20],[-1/10,-1/8],[-1/40,7/60],[
-7/30,-1/8],[-49/120,-1/8],[37/60,-19/120],[-47/60,
1/12],[-19/120,-5/24],[13/60,-1/40],[13/120,-1/12],
[17/30,0],[7/12,11/60],[7/40,7/120],[4/15,-2/5],
[-3/40,13/120],[-17/40,4/15],[-3/40,1/5],[1/12,
-13/120],[7/120,7/120],[-4/15,1/10],[3/10,-11/120],
[59/120,13/120],[-7/40,49/120],[91/120,-1/10],[
-43/120,-1/5],[7/120,-19/60],[23/120,-13/120],[59/120,
-11/40],[19/30,7/30],[29/60,1/12],[1/20,-7/60],[
-83/120,-13/120],[-19/40,11/120],[-89/120,0],[-2/15,
1/24],[1/20,3/20],[-37/60,-7/60],[-37/120,-1/10],
[13/24,1/20],[7/15,9/40],[11/20,13/40],[5/8,1/40],
[-61/120,1/8],[1/4,1/40],[-2/5,0],[-11/120,-1/10],
[23/120,23/120],[13/24,1/30],[5/24,-17/120],[7/24,
7/60],[-11/30,19/120],[-29/30,11/120],[-2/5,-11/120],
[-67/120,19/40],[-1/10,-1/10],[1/10,1/40],[17/20,
2/3],[7/120,-1/30],[-7/120,1/30],[14/15,-17/60],
[-2/5,-1/20],[1/20,-1/10],[-1/6,-3/10],[9/20,0],
[1/2,1/20],[1/4,1/5],[-11/20,1/10],[1/20,-1/10],
[1/20,-1/20],[-2/5,1/4],[1/10,1/5],[4/5,1/10],
[-1/20,1/5],[7/10,1/5],[0,-1/10],[-17/20,-3/20],
[1/10,-1/4],[3/4,1/4],[-3/20,-1/10],[-1/20,1/4],
[-79/120,7/12],[17/24,-2/15],[1/24,-31/120],[41/120,
-1/10],[-43/120,-17/20],[-13/120,-11/60],[-1/5,1/120
],[79/120,-1/60],[-19/120,-13/60],[-21/40,-7/120],
[-167/120,-9/40],[-1/60,-1/20],[-1/6,-1/15],[11/30,
7/60],[-5/24,1/8],[-23/40,1/12],[83/120,3/40],[
-1/120,4/15],[13/60,23/60],[-53/120,-3/40],[19/40,
41/120],[1/120,-1/60],[13/15,-41/120],[3/8,-11/60
],[-107/120,-11/120],[37/60,1/20],[-31/40,1/24],
[17/30,1/6],[4/15,3/4],[-1/6,-3/20],[-17/24,
-11/20],[1/5,-1/6],[1/120,1/20],[47/30,1/30],
[3/8,1/120],[157/120,2/15],[-17/40,-1/10],[37/60,
-19/120],[-43/120,-13/120],[3/10,1/15],[4/15,3/10],
[5/12,1/15],[29/60,-29/120],[-7/120,-1/4],[5/6,
-7/60],[-1/5,-7/120],[1/20,1/30],[1/24,-1/12],
[-17/40,13/120],[-11/12,-11/60],[-31/60,-19/120],
[23/60,17/120],[-11/120,-1/15],[-49/60,-31/120],
[-91/120,7/40],[-59/120,1/24],[-151/120,7/60],[
127/120,-7/60],[1/3,2/15],[37/120,0],[7/8,31/120],
[-167/120,3/20],[-5/24,-1/6],[1/120,-11/40],[-4/5,
-7/60],[23/60,19/120],[-11/120,-7/120],[3/20,1/4]])
]> where w := K.1 where K := ext<K|Polynomial(K,[5,1,1])> where K
is RationalField();

return _LR;
