//Standard generators of S6(5) are a,b where a is in class 2A, b is in class 8A,
//ab has order 9 and abababbabb has order 15.
//Standard generators of 2.S6(5) = Sp6(5) are preimages A, B where  A,B have
//orders 2,8,AB has order 9 and ABB has order 31. 
_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;
//4 consitutents

_LR`G :=
/*
Original group: c9Group("sp65p")
From DB /nb/reps/d62.2S65.exti78000000.M
Schur index: 1
*/

MatrixGroup<62,K | [
Matrix(SparseMatrix(K,62,62,[<1,1,-1/5>,<1,3,1/5*w^3>,<1,
5,1/5*(-w^3 - w^2 - w - 1)>,<1,8,1/5*w^2>,<1,9,1/5>,<1,17,
1/5*w^2>,<1,19,1/5*w>,<1,20,-1/5*w>,<1,27,1/5*(-w^3 - w^2 -
w - 1)>,<1,30,-1/5*w>,<1,32,1/5>,<1,35,1/5*w^2>,<1,36,
1/5*w^2>,<1,38,-1/5*w>,<1,41,-1/5*w>,<1,42,-1/5>,<1,43,
1/5*w^3>,<1,44,1/5*(w^3 + w^2 + w + 1)>,<1,45,-1/5*w>,<1,
46,-1/5>,<1,49,1/5*w>,<1,51,-1/5*w^2>,<1,57,-1/5*w>,<1,
58,1/5>,<1,62,-1/5*w>,<2,4,1/5*(-w^3 - w^2 - w - 2)>,<2,
10,1/5*(w^3 - w^2)>,<2,13,1/5*(w^3 - w^2)>,<2,14,1/5*(w^3 +
w^2 + w + 2)>,<2,28,1/5*(-w^2 + 1)>,<2,33,1/5*(-w^3 + 1)>,
<2,34,1/5*(w^3 - w)>,<2,48,1/5*(w^2 - w)>,<2,55,1/5*(-w^3 +
w)>,<2,61,1/5*(-w^3 + 1)>,<3,1,1/5*w^2>,<3,3,-1/5>,<3,
5,-1/5>,<3,8,-1/5*w>,<3,9,-1/5*w^2>,<3,17,-1/5*w^3>,<3,
19,-1/5*w>,<3,20,1/5*(-w^3 - w^2 - w - 1)>,<3,27,-1/5*w>,<3,
30,1/5*(-w^3 - w^2 - w - 1)>,<3,32,-1/5*w^2>,<3,35,-1/5*w>,
<3,36,-1/5*w^3>,<3,38,1/5*(-w^3 - w^2 - w - 1)>,<3,41,1/5>,
<3,42,1/5>,<3,43,-1/5*w^3>,<3,44,1/5*w^3>,<3,45,1/5>,<3,
46,1/5*w^3>,<3,49,1/5*(w^3 + w^2 + w + 1)>,<3,51,1/5*w^3>,
<3,57,1/5*w>,<3,58,-1/5*w>,<3,62,1/5*w>,<4,2,1/5*(w -
1)>,<4,10,1/5*(w^3 + 2*w^2 + w + 1)>,<4,13,1/5*(w - 1)>,<4,
14,1/5*(-w^3 + w^2)>,<4,28,1/5*(w^2 - w)>,<4,33,1/5*(w^3 -
w)>,<4,34,1/5*(-w^3 - w^2 - 2*w - 1)>,<4,48,1/5*(w^3 - w)>,
<4,53,1/5*(w^3 + w^2 + 2*w + 1)>,<4,61,1/5*(w^3 + w^2 + w +
2)>,<5,1,1/5*w>,<5,3,-1/5>,<5,5,-1/5>,<5,8,-1/5>,<5,
9,-1/5>,<5,17,-1/5*w^2>,<5,19,-1/5*w^2>,<5,20,1/5*w>,<5,
27,-1/5*w^2>,<5,30,1/5>,<5,32,1/5*(w^3 + w^2 + w + 1)>,<5,
35,-1/5*w>,<5,36,-1/5*w>,<5,38,1/5*w^3>,<5,41,1/5*w>,<5,
42,1/5*w^3>,<5,43,-1/5>,<5,44,1/5>,<5,45,1/5*w^3>,<5,46,
1/5*w>,<5,49,1/5*(w^3 + w^2 + w + 1)>,<5,51,1/5*(-w^3 - w^2 -
w - 1)>,<5,57,1/5>,<5,58,-1/5*w^3>,<5,62,1/5*w>,<6,6,
-1/5>,<6,7,1/5*w^3>,<6,11,-1/5*w^2>,<6,12,1/5*w^2>,<6,15,
1/5*w^2>,<6,16,1/5>,<6,18,-1/5*w>,<6,21,-1/5*w^2>,<6,22,
-1/5>,<6,23,1/5*w^2>,<6,24,1/5*(w^3 + w^2 + w + 1)>,<6,25,
-1/5*w^3>,<6,26,1/5*(w^3 + w^2 + w + 1)>,<6,29,1/5>,<6,31,
-1/5*w^3>,<6,37,-1/5*w^3>,<6,39,-1/5*w^2>,<6,40,1/5*w^2>,
<6,47,-1/5>,<6,50,1/5*w^2>,<6,52,1/5*w^3>,<6,54,-1/5*w>,
<6,56,-1/5*w>,<6,59,1/5*(w^3 + w^2 + w + 1)>,<6,60,-1/5*w>,
<7,6,1/5*w^2>,<7,7,-1/5>,<7,11,1/5>,<7,12,-1/5*w>,<7,
15,-1/5*w^3>,<7,16,-1/5*w^3>,<7,18,1/5*(-w^3 - w^2 - w -
1)>,<7,21,1/5*(-w^3 - w^2 - w - 1)>,<7,22,1/5*w>,<7,23,
-1/5*w^2>,<7,24,1/5*w^2>,<7,25,1/5*w^2>,<7,26,1/5*w>,
<7,29,1/5*(w^3 + w^2 + w + 1)>,<7,31,1/5*(-w^3 - w^2 - w -
1)>,<7,37,1/5*w^2>,<7,39,1/5*w>,<7,40,-1/5*w^3>,<7,47,
1/5*w^3>,<7,50,-1/5*w^2>,<7,52,1/5*(w^3 + w^2 + w + 1)>,<7,
54,1/5*w^3>,<7,56,1/5*w>,<7,59,1/5*(-w^3 - w^2 - w - 1)>,
<7,60,1/5*w>,<8,1,1/5*w^3>,<8,3,1/5*(w^3 + w^2 + w + 1)>,
<8,5,-1/5>,<8,8,-1/5>,<8,9,-1/5>,<8,17,-1/5>,<8,19,
-1/5>,<8,20,1/5*w^3>,<8,27,-1/5*w^3>,<8,30,1/5>,<8,32,
-1/5*w^2>,<8,35,-1/5*w^3>,<8,36,-1/5*w^2>,<8,38,1/5*(-w^3 -
w^2 - w - 1)>,<8,41,1/5>,<8,42,1/5>,<8,43,-1/5>,<8,44,
1/5*w>,<8,45,1/5*w>,<8,46,1/5>,<8,49,-1/5*w^2>,<8,51,
1/5*w>,<8,57,1/5*(-w^3 - w^2 - w - 1)>,<8,58,-1/5*w^2>,<8,
62,1/5*w^2>,<9,1,1/5>,<9,3,-1/5*w^3>,<9,5,-1/5>,<9,8,
-1/5>,<9,9,-1/5>,<9,17,-1/5*w^3>,<9,19,-1/5*w^3>,<9,20,
1/5>,<9,27,1/5*(w^3 + w^2 + w + 1)>,<9,30,1/5>,<9,32,-1/5>,
<9,35,-1/5>,<9,36,-1/5*w^3>,<9,38,1/5>,<9,41,1/5*(-w^3 -
w^2 - w - 1)>,<9,42,1/5*w^2>,<9,43,-1/5>,<9,44,1/5*w^2>,<9,
45,1/5*(-w^3 - w^2 - w - 1)>,<9,46,1/5*(-w^3 - w^2 - w - 1)>,<9,
49,-1/5>,<9,51,1/5*w^3>,<9,57,1/5*w^3>,<9,58,-1/5*w>,<9,
62,1/5*w^3>,<10,2,1/5*(-w^3 + w^2)>,<10,4,1/5*(w^3 - w)>,
<10,13,1/5*(w^3 + w^2 + 2*w + 1)>,<10,14,1/5*(-w^3 - w^2 -
w - 2)>,<10,28,1/5*(-w^2 + 1)>,<10,33,1/5*(-w^2 + w)>,<10,
34,1/5*(-w^3 + w)>,<10,48,1/5*(w^2 - w)>,<10,53,1/5*(-w^3 +
w)>,<10,55,1/5*(-w^3 - w^2 - w - 2)>,<11,6,-1/5*w^3>,<11,7,
1/5>,<11,11,-1/5>,<11,12,1/5*w^3>,<11,15,1/5*w>,<11,16,
1/5*w^2>,<11,18,-1/5*w>,<11,21,-1/5*w>,<11,22,-1/5*w^3>,
<11,23,1/5>,<11,24,-1/5*w^3>,<11,25,-1/5*w^2>,<11,26,
1/5*(w^3 + w^2 + w + 1)>,<11,29,1/5>,<11,31,-1/5>,<11,37,
-1/5>,<11,39,-1/5>,<11,40,1/5*w^2>,<11,47,-1/5*w>,<11,50,
1/5*w^2>,<11,52,1/5*(-w^3 - w^2 - w - 1)>,<11,54,-1/5*w^2>,
<11,56,-1/5*w^3>,<11,59,-1/5*w^3>,<11,60,-1/5*w^2>,<12,6,
1/5*w^3>,<12,7,1/5*(w^3 + w^2 + w + 1)>,<12,11,1/5*w^2>,<12,
12,-1/5>,<12,15,-1/5>,<12,16,-1/5*w^3>,<12,18,1/5>,<12,
21,1/5*w^2>,<12,22,1/5*w>,<12,23,-1/5*w>,<12,24,1/5*w>,
<12,25,1/5*w^2>,<12,26,1/5*w>,<12,29,-1/5*w>,<12,31,
1/5*w^2>,<12,37,1/5*w^3>,<12,39,1/5*(-w^3 - w^2 - w - 1)>,
<12,40,-1/5*w^2>,<12,47,1/5*w>,<12,50,-1/5>,<12,52,-1/5>,
<12,54,1/5>,<12,56,1/5*w^3>,<12,59,1/5>,<12,60,1/5*w>,
<13,2,1/5*(-w^3 + w^2)>,<13,4,1/5*(-w^3 - w^2 - w - 2)>,<13,
10,1/5*(-w^3 - w^2 - 2*w - 1)>,<13,14,1/5*(w^3 - w)>,<13,
28,1/5*(w^2 - 1)>,<13,34,1/5*(-w^3 - w^2 - w - 2)>,<13,48,
1/5*(-w^2 + w)>,<13,53,1/5*(-w^3 + w)>,<13,55,1/5*(-w^3 + w)>,
<13,61,1/5*(w^2 - w)>,<14,2,1/5*(-w + 1)>,<14,4,1/5*(w^3 -
w^2)>,<14,10,1/5*(w - 1)>,<14,13,1/5*(w^3 + 2*w^2 + w + 1)>,
<14,28,1/5*(w^2 - w)>,<14,33,1/5*(w^3 + w^2 + w + 2)>,<14,
48,1/5*(w^3 - w)>,<14,53,1/5*(-w^3 - w^2 - 2*w - 1)>,<14,
55,1/5*(w^3 + w^2 + 2*w + 1)>,<14,61,1/5*(w^3 - w)>,<15,6,
1/5*w^3>,<15,7,-1/5*w^2>,<15,11,1/5*(-w^3 - w^2 - w - 1)>,
<15,12,-1/5>,<15,15,-1/5>,<15,16,-1/5*w^3>,<15,18,1/5*w>,
<15,21,1/5*(-w^3 - w^2 - w - 1)>,<15,22,1/5*(-w^3 - w^2 - w -
1)>,<15,23,-1/5*w^2>,<15,24,1/5>,<15,25,1/5*w^3>,<15,
26,1/5>,<15,29,1/5*(w^3 + w^2 + w + 1)>,<15,31,1/5*w^3>,
<15,37,1/5>,<15,39,1/5*w^3>,<15,40,1/5*(w^3 + w^2 + w +
1)>,<15,47,1/5*(-w^3 - w^2 - w - 1)>,<15,50,-1/5>,<15,52,
1/5*(w^3 + w^2 + w + 1)>,<15,54,1/5*w>,<15,56,1/5*w^2>,<15,
59,1/5*w^3>,<15,60,1/5*w^3>,<16,6,1/5>,<16,7,-1/5*w^2>,
<16,11,1/5*w^3>,<16,12,-1/5*w^2>,<16,15,-1/5*w^2>,<16,16,
-1/5>,<16,18,1/5*(-w^3 - w^2 - w - 1)>,<16,21,1/5*w^3>,<16,
22,1/5*(-w^3 - w^2 - w - 1)>,<16,23,-1/5>,<16,24,1/5*w>,<16,
25,1/5*w>,<16,26,1/5*w>,<16,29,1/5*(w^3 + w^2 + w + 1)>,<16,
31,1/5*w>,<16,37,1/5*(-w^3 - w^2 - w - 1)>,<16,39,1/5*(-w^3 -
w^2 - w - 1)>,<16,40,-1/5*w^3>,<16,47,1/5*(-w^3 - w^2 - w -
1)>,<16,50,-1/5*w^2>,<16,52,-1/5>,<16,54,1/5*(-w^3 - w^2 -
w - 1)>,<16,56,1/5*w^3>,<16,59,1/5*w^3>,<16,60,1/5*w^2>,
<17,1,1/5*w^3>,<17,3,-1/5*w^2>,<17,5,-1/5*w^3>,<17,8,
-1/5>,<17,9,-1/5*w^2>,<17,17,-1/5>,<17,19,-1/5*w>,<17,
20,1/5*w^2>,<17,27,1/5*(w^3 + w^2 + w + 1)>,<17,30,1/5*w>,
<17,32,-1/5*w>,<17,35,-1/5*w>,<17,36,1/5*(w^3 + w^2 + w +
1)>,<17,38,1/5*(-w^3 - w^2 - w - 1)>,<17,41,1/5*w>,<17,42,
1/5*w^2>,<17,43,1/5*(w^3 + w^2 + w + 1)>,<17,44,1/5>,<17,45,
1/5*w^3>,<17,46,1/5*w^2>,<17,49,-1/5>,<17,51,1/5*w^2>,<17,
57,1/5*(-w^3 - w^2 - w - 1)>,<17,58,-1/5*w>,<17,62,1/5>,<18,
6,1/5*(w^3 + w^2 + w + 1)>,<18,7,1/5*w>,<18,11,1/5*(w^3 + w^2 +
w + 1)>,<18,12,1/5>,<18,15,1/5*(-w^3 - w^2 - w - 1)>,<18,16,
1/5*w>,<18,18,-1/5>,<18,21,-1/5*w^2>,<18,22,-1/5*w>,<18,
23,1/5>,<18,24,-1/5*w^2>,<18,25,1/5*(w^3 + w^2 + w + 1)>,<18,
26,-1/5>,<18,29,1/5*w^2>,<18,31,-1/5*w^3>,<18,37,-1/5*w^2>,
<18,39,-1/5*w^2>,<18,40,1/5>,<18,47,-1/5>,<18,50,1/5*w^2>,
<18,52,1/5*w^2>,<18,54,-1/5*w^3>,<18,56,-1/5*w^3>,<18,59,
-1/5*w^3>,<18,60,-1/5*w^2>,<19,1,1/5*(-w^3 - w^2 - w - 1)>,
<19,3,1/5*(w^3 + w^2 + w + 1)>,<19,5,-1/5*w^3>,<19,8,-1/5>,
<19,9,-1/5*w^2>,<19,17,1/5*(w^3 + w^2 + w + 1)>,<19,19,-1/5>,
<19,20,1/5*w^3>,<19,27,-1/5*w^2>,<19,30,1/5*w>,<19,32,
-1/5>,<19,35,-1/5*w^2>,<19,36,-1/5*w^2>,<19,38,1/5*w^2>,
<19,41,1/5*w^3>,<19,42,1/5*w^3>,<19,43,1/5*(w^3 + w^2 + w +
1)>,<19,44,1/5*w^3>,<19,45,1/5*w^2>,<19,46,1/5*(-w^3 - w^2
- w - 1)>,<19,49,1/5*(w^3 + w^2 + w + 1)>,<19,51,1/5*w^3>,
<19,57,1/5*w>,<19,58,-1/5*w^3>,<19,62,1/5*w^3>,<20,1,
1/5*(w^3 + w^2 + w + 1)>,<20,3,1/5*w>,<20,5,1/5*(-w^3 - w^2 -
w - 1)>,<20,8,1/5*w^2>,<20,9,1/5>,<20,17,1/5*w^3>,<20,19,
1/5*w^2>,<20,20,-1/5>,<20,27,1/5*w>,<20,30,-1/5*w>,<20,32,
1/5*w>,<20,35,1/5*w>,<20,36,1/5*(-w^3 - w^2 - w - 1)>,<20,38,
-1/5*w^3>,<20,41,1/5*(w^3 + w^2 + w + 1)>,<20,42,1/5*(w^3 + w^2
+ w + 1)>,<20,43,1/5*w^3>,<20,44,-1/5*w>,<20,45,-1/5*w^2>,
<20,46,-1/5*w^3>,<20,49,1/5*w^2>,<20,51,-1/5*w>,<20,57,
1/5*(w^3 + w^2 + w + 1)>,<20,58,1/5*w^3>,<20,62,-1/5*w^3>,
<21,6,-1/5*w^3>,<21,7,1/5*w>,<21,11,1/5*(w^3 + w^2 + w +
1)>,<21,12,1/5*w^3>,<21,15,1/5*w>,<21,16,1/5*w^2>,<21,
18,-1/5*w^3>,<21,21,-1/5>,<21,22,1/5*(w^3 + w^2 + w + 1)>,
<21,23,1/5*w^2>,<21,24,-1/5*w>,<21,25,1/5*(w^3 + w^2 + w +
1)>,<21,26,-1/5*w^2>,<21,29,1/5*w>,<21,31,-1/5*w^2>,<21,
37,1/5*(w^3 + w^2 + w + 1)>,<21,39,-1/5*w^3>,<21,40,1/5*w>,
<21,47,-1/5*w^2>,<21,50,1/5*w^2>,<21,52,1/5*w^2>,<21,54,
1/5*(w^3 + w^2 + w + 1)>,<21,56,-1/5*w>,<21,59,1/5*(w^3 + w^2 +
w + 1)>,<21,60,-1/5*w>,<22,6,-1/5>,<22,7,1/5*(-w^3 - w^2 -
w - 1)>,<22,11,-1/5*w^2>,<22,12,1/5*(-w^3 - w^2 - w - 1)>,<22,
15,1/5*w>,<22,16,1/5*w>,<22,18,1/5*(w^3 + w^2 + w + 1)>,<22,
21,-1/5*w>,<22,22,-1/5>,<22,23,1/5*w^2>,<22,24,-1/5*w^3>,
<22,25,-1/5*w^2>,<22,26,-1/5*w^2>,<22,29,1/5*w^3>,<22,31,
1/5*(w^3 + w^2 + w + 1)>,<22,37,1/5*(w^3 + w^2 + w + 1)>,<22,39,
-1/5*w^2>,<22,40,1/5>,<22,47,-1/5*w^2>,<22,50,1/5>,<22,52,
1/5>,<22,54,-1/5*w^3>,<22,56,-1/5*w^2>,<22,59,-1/5*w^3>,
<22,60,-1/5*w^3>,<23,6,1/5*w^3>,<23,7,-1/5*w^3>,<23,11,
1/5>,<23,12,1/5*(w^3 + w^2 + w + 1)>,<23,15,-1/5*w^3>,<23,16,
-1/5>,<23,18,1/5>,<23,21,1/5*w^3>,<23,22,1/5*w^3>,<23,23,
-1/5>,<23,24,1/5>,<23,25,1/5*(-w^3 - w^2 - w - 1)>,<23,26,
1/5*w^3>,<23,29,1/5*(w^3 + w^2 + w + 1)>,<23,31,1/5*w^3>,<23,
37,1/5*w^3>,<23,39,1/5>,<23,40,-1/5*w>,<23,47,1/5*w^2>,<23,
50,-1/5*w>,<23,52,-1/5>,<23,54,1/5*w^3>,<23,56,1/5*w>,<23,
59,1/5>,<23,60,1/5*w^3>,<24,6,-1/5*w>,<24,7,1/5*w^3>,<24,
11,-1/5*w^2>,<24,12,1/5*(-w^3 - w^2 - w - 1)>,<24,15,1/5>,
<24,16,1/5*(-w^3 - w^2 - w - 1)>,<24,18,-1/5*w^3>,<24,21,
1/5*(w^3 + w^2 + w + 1)>,<24,22,-1/5*w^2>,<24,23,1/5>,<24,24,
-1/5>,<24,25,-1/5*w^3>,<24,26,-1/5*w^2>,<24,29,1/5*w>,<24,
31,1/5*(w^3 + w^2 + w + 1)>,<24,37,-1/5*w>,<24,39,-1/5*w>,
<24,40,1/5*w>,<24,47,-1/5*w^3>,<24,50,1/5*w^2>,<24,52,
1/5*w^3>,<24,54,-1/5>,<24,56,-1/5*w^3>,<24,59,-1/5*w^3>,
<24,60,-1/5*w^2>,<25,6,-1/5*w^2>,<25,7,1/5*w^3>,<25,11,
-1/5*w^3>,<25,12,1/5*w^3>,<25,15,1/5*w^2>,<25,16,1/5*(-w^3 -
w^2 - w - 1)>,<25,18,-1/5*w>,<25,21,-1/5*w>,<25,22,-1/5*w^3>,
<25,23,1/5*w>,<25,24,-1/5*w^2>,<25,25,-1/5>,<25,26,-1/5>,
<25,29,1/5*(-w^3 - w^2 - w - 1)>,<25,31,1/5*(w^3 + w^2 + w + 1)>,
<25,37,-1/5*w>,<25,39,-1/5*w^2>,<25,40,1/5*(-w^3 - w^2 - w -
1)>,<25,47,-1/5*w^2>,<25,50,1/5>,<25,52,1/5*w^2>,<25,54,
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<53,28,1/5*(w^2 - w)>,<53,33,1/5*(-w^3 - w^2 - w - 2)>,<53,
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<58,5,-1/5*w^2>,<58,8,-1/5*w^3>,<58,9,1/5*(w^3 + w^2 + w +
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<60,12,1/5*(-w^3 - w^2 - w - 1)>,<60,15,1/5*w^2>,<60,16,
1/5*w^3>,<60,18,-1/5*w^3>,<60,21,1/5*(w^3 + w^2 + w + 1)>,
<60,22,-1/5*w^2>,<60,23,1/5*w^2>,<60,24,-1/5*w^3>,<60,25,
1/5*(w^3 + w^2 + w + 1)>,<60,26,1/5*(w^3 + w^2 + w + 1)>,<60,29,
1/5*(-w^3 - w^2 - w - 1)>,<60,31,-1/5*w^2>,<60,37,-1/5*w^3>,
<60,39,-1/5>,<60,40,1/5>,<60,47,-1/5>,<60,50,1/5*w^3>,
<60,52,1/5*(-w^3 - w^2 - w - 1)>,<60,54,1/5*(w^3 + w^2 + w +
1)>,<60,56,-1/5*w^3>,<60,59,-1/5*w^2>,<60,60,-1/5>,<61,2,
1/5*(-w^2 + 1)>,<61,4,1/5*(-w + 1)>,<61,13,1/5*(2*w^3 + w^2 +
w + 1)>,<61,14,1/5*(w^3 + 2*w^2 + w + 1)>,<61,28,1/5*(w^3 +
w^2 + w + 2)>,<61,33,1/5*(-w^3 - w^2 - 2*w - 1)>,<61,34,1/5*(w
- 1)>,<61,48,1/5*(w^3 + w^2 + 2*w + 1)>,<61,53,1/5*(w - 1)>,
<61,55,1/5*(w^3 + 2*w^2 + w + 1)>,<62,1,1/5*(w^3 + w^2 + w +
1)>,<62,3,1/5*(-w^3 - w^2 - w - 1)>,<62,5,1/5*(-w^3 - w^2 -
w - 1)>,<62,8,1/5*w^3>,<62,9,1/5*w^2>,<62,17,1/5>,<62,
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<62,32,1/5>,<62,35,1/5>,<62,36,1/5*w^3>,<62,38,-1/5*w>,
<62,41,-1/5*w>,<62,42,-1/5>,<62,43,1/5*w>,<62,44,-1/5*w>,
<62,45,-1/5>,<62,46,-1/5*w^3>,<62,49,1/5*w^3>,<62,51,
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w^2 - w - 1)>,<62,62,-1/5>])),Matrix(K,62,62,
[[-1/25,-2/25,-3/25,-4/25],[0,0,0,0],[0,0,0,
0],[-1/25,-2/25,-3/25,1/25],[4/25,3/25,2/25,1/25],
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1/25,-1/25,-3/25],[3/25,1/25,4/25,2/25],[0,0,0,
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1/25],[2/25,-1/25,1/25,-2/25],[-1/25,-2/25,-3/25,1/25
],[0,0,0,0],[1/25,2/25,3/25,4/25],[0,0,0,0],
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[-2/25,-4/25,-1/25,-3/25],[0,0,0,0],[1/25,2/25,
3/25,-1/25],[4/25,3/25,2/25,1/25],[0,0,0,0],
[-3/25,-1/25,-4/25,-2/25],[2/25,4/25,1/25,3/25],
[1/25,2/25,-2/25,-1/25],[0,0,0,0],[3/25,1/25,
-1/25,2/25],[4/25,3/25,2/25,1/25],[-3/25,-1/25,
1/25,-2/25],[-1/25,-2/25,-3/25,1/25],[0,0,0,0],
[-4/25,-3/25,-2/25,-1/25],[0,0,0,0],[1/25,-3/25,
-2/25,-1/25],[2/25,4/25,1/25,3/25],[-2/25,1/25,
-1/25,2/25],[1/25,2/25,3/25,-1/25],[1/25,-3/25,
-2/25,-1/25],[0,0,0,0],[-3/25,-1/25,-4/25,-2/25],
[-2/25,-4/25,-1/25,-3/25],[0,0,0,0],[0,0,0,0],
[-2/25,1/25,-1/25,2/25],[-2/25,1/25,-1/25,-3/25],
[1/25,2/25,3/25,4/25],[-3/25,-1/25,-4/25,-2/25],
[1/25,2/25,3/25,-1/25],[-1/25,-2/25,2/25,1/25],
[2/25,-1/25,1/25,3/25],[2/25,-1/25,1/25,3/25],
[-2/25,1/25,-1/25,2/25],[2/25,4/25,1/25,3/25]])
]> where w := K.1 where K := CyclotomicField(5);

return _LR;
