// File for storing Hecke algebra data.
LoadIn := [];
LoadInRel := <>;

Append(~LoadIn, <419, 5, 5, 1, 2, 419, 2, 1, 1, 4, 2, 3, 1, 3, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <439, 5, 5, 1, 2, 439, 2, 1, 1, 14, 2, 4, 5, 10, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 10, [ GF(5) | 0, 0, 0, 0, 0, 1, 4, 4, 2, 3, 1, 1, 4 ]>, <3, 1, [ GF(5) | 0, 0, 0, 
0, 0, 0, 0, 0, 3, 1, 2, 0, 3 ]>, <3, 2, [ GF(5) | 0, 0, 0, 0, 3, 0, 4, 2, 1, 3, 0, 0, 3 ]>, <3, 3, [ GF(5)
| 0, 0, 0, 0, 4, 2, 1, 4, 1, 4, 4, 4, 0 ]>, <3, 4, [ GF(5) | 0, 0, 0, 0, 2, 0, 3, 4, 3, 0, 1, 2, 3 ]>, <3,
5, [ GF(5) | 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 3, 0, 3 ]>, <3, 6, [ GF(5) | 0, 0, 0, 0, 0, 3, 4, 0, 2, 4, 0, 
2, 0 ]>>);

Append(~LoadIn, <491, 5, 5, 1, 2, 491, 2, 1, 1, 4, 2, 3, 1, 3, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <751, 5, 5, 1, 2, 751, 2, 1, 1, 12, 2, 3, 5, 3, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<3, 3, [ GF(5) | 0, 0, 0, 1, 0, 1, 1, 1, 4, 1, 3 ]>, <3, 4, [ GF(5) | 0, 0, 0, 4, 2, 
2, 1, 2, 0, 2, 0 ]>, <3, 5, [ GF(5) | 0, 0, 0, 2, 1, 1, 0, 0, 1, 3, 1 ]>, <3, 6, [ GF(5) | 0, 0, 0, 0, 1, 
0, 1, 3, 1, 4, 0 ]>>);

Append(~LoadIn, <839, 5, 5, 1, 2, 839, 2, 1, 1, 6, 2, 3, 2, 6, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 3, [ GF(5) | 0, 0, 0, 1, 1 ]>, <2, 4, [ GF(5) | 0, 0, 0, 2, 0 ]>, <2, 5, [ GF(5) |
0, 0, 0, 2, 1 ]>, <2, 6, [ GF(5) | 0, 0, 0, 3, 2 ]>>);

Append(~LoadIn, <1231, 5, 5, 1, 2, 1231, 2, 1, 1, 4, 2, 3, 1, 3, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <2579, 5, 5, 1, 2, 2579, 2, 1, 1, 4, 2, 3, 1, 3, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <2699, 5, 5, 1, 2, 2699, 2, 1, 1, 14, 2, 4, 5, 8, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 10, [ GF(5) | 0, 0, 0, 0, 2, 1, 4, 2, 1, 4, 0, 4, 2 ]>, <3, 1, [ GF(5) | 0, 0, 0, 
0, 4, 1, 0, 1, 1, 2, 1, 4, 1 ]>, <3, 2, [ GF(5) | 0, 0, 0, 0, 4, 3, 3, 2, 1, 4, 1, 3, 3 ]>, <3, 3, [ GF(5)
| 0, 0, 0, 0, 0, 4, 0, 2, 1, 1, 3, 1, 2 ]>, <3, 4, [ GF(5) | 0, 0, 0, 0, 0, 4, 2, 2, 0, 3, 0, 0, 1 ]>, <3,
5, [ GF(5) | 0, 0, 0, 0, 2, 4, 0, 1, 2, 0, 0, 4, 4 ]>, <3, 6, [ GF(5) | 0, 0, 0, 0, 3, 1, 1, 4, 3, 1, 0, 
3, 0 ]>>);

Append(~LoadIn, <3299, 5, 5, 1, 2, 3299, 2, 1, 1, 4, 2, 3, 1, 6, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <3359, 5, 5, 1, 2, 3359, 2, 1, 1, 4, 2, 3, 1, 6, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <4111, 5, 5, 1, 2, 4111, 2, 1, 1, 4, 2, 3, 1, 3, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <4219, 5, 5, 1, 2, 4219, 2, 1, 1, 20, 2, 3, 6, 5, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<4, 1, [ GF(5) | 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 4, 4, 2, 3, 3, 4, 0 ]>, <4, 2, [ 
GF(5) | 0, 0, 0, 3, 3, 1, 1, 1, 0, 4, 0, 4, 1, 1, 2, 3, 4, 2, 3 ]>, <4, 3, [ GF(5) | 0, 0, 0, 2, 2, 4, 4, 
4, 0, 3, 2, 4, 0, 3, 2, 3, 0, 4, 2 ]>, <4, 4, [ GF(5) | 0, 0, 0, 3, 3, 1, 1, 1, 0, 1, 3, 2, 4, 1, 1, 4, 4,
2, 3 ]>, <4, 5, [ GF(5) | 0, 0, 0, 4, 4, 3, 3, 3, 0, 4, 1, 2, 3, 0, 2, 2, 0, 4, 4 ]>>);

Append(~LoadIn, <4931, 5, 5, 1, 2, 4931, 2, 3, 3, 12, 2, 3, 5, 3, "D_{7}", Polynomial(\[])>);
hKi := GF(5, 3);
Append(~LoadInRel, <<3, 3, [ GF(5, 3) | 0, 0, 0, hKi.1^63, hKi.1^119, hKi.1^80, hKi.1^98, hKi.1^55, 
hKi.1^4, hKi.1^84, hKi.1^3 ]>, <3, 4, [ GF(5, 3) | 0, 0, 0, 3, hKi.1^5, hKi.1^24, hKi.1^98, hKi.1^15, 
hKi.1^108, hKi.1^10, hKi.1^8 ]>, <3, 5, [ GF(5, 3) | 0, 0, 0, hKi.1^3, hKi.1^34, 0, hKi.1^3, hKi.1^35, 
hKi.1^80, hKi.1^15, hKi.1^105 ]>, <3, 6, [ GF(5, 3) | 0, 0, 0, hKi.1^33, hKi.1, hKi.1^27, hKi.1^96, 1, 
hKi.1^114, hKi.1^55, hKi.1^78 ]>>);

Append(~LoadIn, <5011, 5, 5, 1, 2, 5011, 2, 1, 1, 4, 2, 3, 1, 5, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <5639, 5, 5, 1, 2, 5639, 2, 1, 1, 6, 2, 3, 2, 5, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 2, [ GF(5) | 0, 0, 0, 2 ]>, <2, 3, [ GF(5) | 0, 0, 0, 2 ]>, <2, 4, [ GF(5) | 0, 0,
0, 4 ]>, <2, 5, [ GF(5) | 0, 0, 0, 4 ]>>);

Append(~LoadIn, <5939, 5, 5, 1, 2, 5939, 2, 3, 3, 12, 2, 3, 5, 5, "D_{7}", Polynomial(\[])>);
hKi := GF(5, 3);
Append(~LoadInRel, <<3, 3, [ GF(5, 3) | 0, 0, 0, hKi.1^76, hKi.1^61, hKi.1^63, hKi.1^115, hKi.1^50, 
hKi.1^77, hKi.1^10, hKi.1^6 ]>, <3, 4, [ GF(5, 3) | 0, 0, 0, 3, hKi.1^116, hKi.1^104, hKi.1^63, hKi.1^101,
hKi.1^63, hKi.1^110, hKi.1^4 ]>, <3, 5, [ GF(5, 3) | 0, 0, 0, hKi.1^41, hKi.1^67, hKi.1^106, hKi.1^38, 
hKi.1^81, hKi.1^42, hKi.1^105, hKi.1^34 ]>, <3, 6, [ GF(5, 3) | 0, 0, 0, hKi.1^77, hKi.1^60, hKi.1^82, 4, 
hKi.1^66, hKi.1^33, hKi.1^102, hKi.1^44 ]>>);

Append(~LoadIn, <6079, 5, 5, 1, 2, 6079, 2, 1, 1, 6, 2, 3, 2, 5, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 2, [ GF(5) | 0, 0, 0, 3 ]>, <2, 3, [ GF(5) | 0, 0, 0, 2 ]>, <2, 5, [ GF(5) | 0, 0,
0, 1, 0 ]>, <2, 6, [ GF(5) | 0, 0, 0, 4, 0 ]>>);

Append(~LoadIn, <6271, 5, 5, 1, 2, 6271, 2, 1, 1, 4, 2, 3, 1, 3, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <6571, 5, 5, 1, 2, 6571, 2, 1, 1, 12, 2, 3, 5, 5, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<3, 1, [ GF(5) | 0, 0, 0, 2, 2, 3, 3, 4, 2 ]>, <3, 4, [ GF(5) | 0, 0, 0, 4, 4, 4, 3, 
3, 3, 0, 1 ]>, <3, 5, [ GF(5) | 0, 0, 0, 2, 4, 3, 2, 1, 2, 1, 3 ]>, <3, 6, [ GF(5) | 0, 0, 0, 3, 2, 0, 0, 
1, 1, 4, 4 ]>>);

Append(~LoadIn, <6691, 5, 5, 1, 2, 6691, 2, 1, 1, 4, 2, 3, 1, 5, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <6779, 5, 5, 1, 2, 6779, 2, 1, 1, 6, 2, 3, 2, 6, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 3, [ GF(5) | 0, 0, 0, 4, 0 ]>, <2, 4, [ GF(5) | 0, 0, 0, 2, 4 ]>, <2, 5, [ GF(5) |
0, 0, 0, 0, 4 ]>, <2, 6, [ GF(5) | 0, 0, 0, 1, 0 ]>>);

Append(~LoadIn, <7459, 5, 5, 1, 2, 7459, 2, 1, 1, 12, 2, 3, 5, 7, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<2, 5, [ GF(5) | 0, 0, 0, 1, 0, 4, 1 ]>, <3, 4, [ GF(5) | 0, 0, 0, 3, 4, 0, 3, 1, 2, 
2, 1 ]>, <3, 6, [ GF(5) | 0, 0, 0, 2, 3, 2, 1, 2, 4, 1, 0 ]>, <3, 7, [ GF(5) | 0, 0, 0, 3, 2, 0, 4, 2, 0, 
3, 4 ]>>);

Append(~LoadIn, <7759, 5, 5, 1, 2, 7759, 2, 3, 3, 4, 2, 3, 1, 3, "D_{7}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <8779, 5, 5, 1, 2, 8779, 2, 1, 1, 12, 2, 3, 5, 12, "D_{3}", Polynomial(\[])>);
hKi := GF(5);
Append(~LoadInRel, <<3, 1, [ GF(5) | 0, 0, 0, 0, 0, 0, 0, 0, 0 ]>, <3, 4, [ GF(5) | 0, 0, 0, 4, 4, 3, 4, 
4, 4, 3, 4 ]>, <3, 5, [ GF(5) | 0, 0, 0, 3, 2, 4, 2, 2, 2, 0, 4 ]>, <3, 6, [ GF(5) | 0, 0, 0, 3, 4, 3, 4, 
4, 4, 1, 0 ]>, <3, 7, [ GF(5) | 0, 0, 0, 2, 2, 3, 0, 0, 0, 2, 3 ]>, <3, 8, [ GF(5) | 0, 0, 0, 1, 0, 0, 3, 
3, 3, 1, 0 ]>>);

Append(~LoadIn, <8819, 5, 5, 1, 2, 8819, 2, 3, 3, 4, 2, 3, 1, 3, "D_{7}", Polynomial(\[])>);
Append(~LoadInRel, <>);

Append(~LoadIn, <9011, 5, 5, 1, 2, 9011, 2, 1, 1, 4, 2, 3, 1, 6, "D_{3}", Polynomial(\[])>);
Append(~LoadInRel, <>);



