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graph_data.cpp
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graph_data.cpp
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#include "graph_data.hpp"
int8_t automorphisms[53][15] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, -1, -1},
{ 0, 4, 3, 10, 9, 5, 6, 12, 11, 8, 7, 1, 2, -1, -1},
{ 0, 5, 6, 11, 12, 8, 7, 2, 1, 4, 3, 10, 9, -1, -1},
{ 0, 8, 7, 1, 2, 4, 3, 9, 10, 5, 6, 11, 12, -1, -1},
{ 0, 8, 7, 10, 9, 1, 2, 6, 5, 12, 11, 3, 4, -1, -1},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, -1, -1},
{ 0, 12, 3, 2, 7, 10, 8, 4, 6, 11, 5, 9, 1, -1, -1},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, -1, -1},
{ 0, 4, 11, 8, 1, 9, 12, 10, 3, 5, 7, 2, 6, -1, -1},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, -1, -1},
{ 0, 2, 1, 6, 5, 4, 3, 9, 8, 7, 11, 10, 12, -1, -1},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, -1, -1},
{ 0, 1, 7, 10, 11, 9, 6, 4, 2, 12, 5, 8, 3, -1, -1},
{ 0, 1, 11, 9, 2, 3, 6, 8, 4, 10, 12, 7, 5, -1, -1},
{ 0, 3, 6, 1, 11, 9, 2, 10, 12, 5, 7, 4, 8, -1, -1},
{ 0, 3, 11, 9, 12, 8, 2, 4, 10, 1, 5, 6, 7, -1, -1},
{ 0, 8, 2, 3, 11, 9, 12, 1, 5, 7, 6, 10, 4, -1, -1},
{ 0, 9, 2, 3, 6, 1, 11, 5, 7, 8, 4, 12, 10, -1, -1},
{ 0, 9, 6, 1, 7, 10, 11, 12, 5, 3, 8, 2, 4, -1, -1},
{ 0, 9, 12, 8, 2, 3, 11, 7, 6, 4, 10, 5, 1, -1, -1},
{ 0, 10, 11, 9, 6, 1, 7, 3, 8, 4, 2, 5, 12, -1, -1},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, -1, -1},
{ 0, 3, 2, 8, 6, 5, 12, 11, 7, 4, 9, 1, 10, -1, -1},
{ 0, 3, 11, 10, 6, 9, 7, 4, 2, 12, 1, 8, 5, -1, -1},
{ 0, 3, 12, 9, 6, 8, 11, 7, 4, 2, 10, 5, 1, -1, -1},
{ 0, 5, 12, 3, 2, 8, 6, 4, 9, 10, 1, 7, 11, -1, -1},
{ 0, 8, 6, 5, 12, 3, 2, 10, 1, 11, 7, 9, 4, -1, -1},
{ 0, 8, 11, 3, 12, 9, 6, 2, 10, 1, 5, 4, 7, -1, -1},
{ 0, 9, 6, 8, 11, 3, 12, 1, 5, 7, 4, 10, 2, -1, -1},
{ 0, 9, 7, 3, 11, 10, 6, 12, 1, 5, 8, 2, 4, -1, -1},
{ 0, 10, 6, 9, 7, 3, 11, 5, 8, 4, 2, 1, 12, -1, -1},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 3, 4, 6, 5, 2, 1, 9, 10, 14, 13, 11, 12, 8, 7},
{ 0, 4, 3, 1, 2, 5, 6, 10, 9, 13, 14, 7, 8, 12, 11},
{ 0, 6, 5, 1, 2, 4, 3, 14, 13, 7, 8, 11, 12, 10, 9},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 12, 11, 10, 9, 13, 14, 8, 7, 4, 3, 2, 1, 5, 6},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 9, 10, 13, 14, 11, 12, 8, 7, 1, 2, 5, 6, 3, 4},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 6, 5, 4, 3, 2, 1, 11, 12, 10, 9, 7, 8, 14, 13},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 12, 11, 10, 9, 13, 14, 8, 7, 4, 3, 2, 1, 5, 6},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 9, 10, 13, 14, 11, 12, 8, 7, 1, 2, 5, 6, 3, 4},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 3, 10, 14, 5, 9, 7, 13, 2, 8, 4, 11, 12, 1, 6},
{ 0, 13, 8, 1, 10, 4, 14, 6, 9, 5, 2, 11, 12, 7, 3},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 11, 12, 14, 13, 9, 10, 7, 8, 3, 4, 6, 5, 1, 2},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 13, 14, 11, 12, 5, 6, 10, 9, 1, 2, 7, 8, 4, 3},
};
graph_t graphs_sc[NUM_SC_GRAPHS] = {
{0,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,4},{1,3,5},{0,3,4},{0,3,5},{1,2,5},{1,2,4},{0,2,4},{0,2,5}}},
};
graph_t graphs_ico[NUM_ICO_GRAPHS] = {
{0,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,5,9},{1,2,8},{0,5,7},{2,7,8},{2,5,7},{1,4,8},{1,2,10},{5,9,10},{2,5,10},{4,8,11},{7,8,11},{0,7,11},{0,3,9},{0,3,11},{3,4,11},{3,6,9},{3,4,6},{6,9,10},{1,4,6},{1,6,10}}},
};
graph_t graphs_fcc[NUM_FCC_GRAPHS] = {
{0,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{5,7,11},{5,7,9},{1,2,6},{1,2,5},{1,3,10},{1,3,9},{4,6,10},{4,6,8}}},
{1,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{5,7,11},{5,7,9},{1,2,6},{1,2,5},{1,3,10},{1,3,9},{6,8,10},{4,8,10}}},
{2,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{5,7,11},{5,7,9},{1,2,6},{1,2,5},{3,9,10},{1,9,10},{6,8,10},{4,8,10}}},
{3,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{5,7,11},{5,7,9},{2,5,6},{1,5,6},{1,3,10},{1,3,9},{4,6,10},{4,6,8}}},
{4,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{5,7,11},{5,7,9},{2,5,6},{1,5,6},{1,3,10},{1,3,9},{6,8,10},{4,8,10}}},
{5,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{5,7,11},{5,7,9},{2,5,6},{1,5,6},{3,9,10},{1,9,10},{4,6,10},{4,6,8}}},
{6,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{7,9,11},{5,9,11},{1,2,6},{1,2,5},{3,9,10},{1,9,10},{4,6,10},{4,6,8}}},
{7,
0,
1,
5,
//{0,4,3,10,9,5,6,12,11,8,7,1,2},
//{0,5,6,11,12,8,7,2,1,4,3,10,9},
//{0,8,7,1,2,4,3,9,10,5,6,11,12},
//{0,8,7,10,9,1,2,6,5,12,11,3,4}},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{0,4,8},{3,7,9},{2,5,11},{0,7,11},{1,5,9},{2,6,8},{3,4,10},{1,6,10},{3,4,7},{0,4,7},{0,2,11},{0,2,8},{7,9,11},{5,9,11},{2,5,6},{1,5,6},{1,3,10},{1,3,9},{6,8,10},{4,8,10}}},
};
graph_t graphs_hcp[NUM_HCP_GRAPHS] = {
{0,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{2,8,9},{0,2,9},{0,10,11},{0,4,10},{2,6,7},{2,4,6}}},
{1,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{2,8,9},{0,2,9},{0,10,11},{0,4,10},{4,6,7},{2,4,7}}},
{2,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{2,8,9},{0,2,9},{4,10,11},{0,4,11},{2,6,7},{2,4,6}}},
{3,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{2,8,9},{0,2,9},{4,10,11},{0,4,11},{4,6,7},{2,4,7}}},
{4,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{0,8,9},{0,2,8},{0,10,11},{0,4,10},{2,6,7},{2,4,6}}},
{5,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{0,8,9},{0,2,8},{0,10,11},{0,4,10},{4,6,7},{2,4,7}}},
{6,
0,
6,
2,
//{0,12,3,2,7,10,8,4,6,11,5,9,1}},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{0,8,9},{0,2,8},{4,10,11},{0,4,11},{2,6,7},{2,4,6}}},
{7,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{3,8,9},{1,3,9},{0,8,9},{0,2,8},{4,10,11},{0,4,11},{4,6,7},{2,4,7}}},
{8,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{1,8,9},{1,3,8},{2,8,9},{0,2,9},{0,10,11},{0,4,10},{2,6,7},{2,4,6}}},
{9,
0,
8,
2,
//{0,4,11,8,1,9,12,10,3,5,7,2,6}},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{1,8,9},{1,3,8},{2,8,9},{0,2,9},{0,10,11},{0,4,10},{4,6,7},{2,4,7}}},
{10,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{1,8,9},{1,3,8},{2,8,9},{0,2,9},{4,10,11},{0,4,11},{4,6,7},{2,4,7}}},
{11,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{1,8,9},{1,3,8},{0,8,9},{0,2,8},{0,10,11},{0,4,10},{4,6,7},{2,4,7}}},
{12,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{3,6,7},{3,5,6},{1,8,9},{1,3,8},{0,8,9},{0,2,8},{4,10,11},{0,4,11},{2,6,7},{2,4,6}}},
{13,
0,
10,
2,
//{0,2,1,6,5,4,3,9,8,7,11,10,12}},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{5,6,7},{3,5,7},{3,8,9},{1,3,9},{2,8,9},{0,2,9},{0,10,11},{0,4,10},{4,6,7},{2,4,7}}},
{14,
0,
12,
10,
//{0,1,7,10,11,9,6,4,2,12,5,8,3},
//{0,1,11,9,2,3,6,8,4,10,12,7,5},
//{0,3,6,1,11,9,2,10,12,5,7,4,8},
//{0,3,11,9,12,8,2,4,10,1,5,6,7},
//{0,8,2,3,11,9,12,1,5,7,6,10,4},
//{0,9,2,3,6,1,11,5,7,8,4,12,10},
//{0,9,6,1,7,10,11,12,5,3,8,2,4},
//{0,9,12,8,2,3,11,7,6,4,10,5,1},
//{0,10,11,9,6,1,7,3,8,4,2,5,12}},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{1,10,11},{1,5,10},{5,6,7},{3,5,7},{3,8,9},{1,3,9},{0,8,9},{0,2,8},{4,10,11},{0,4,11},{2,6,7},{2,4,6}}},
{15,
0,
22,
10,
//{0,3,2,8,6,5,12,11,7,4,9,1,10},
//{0,3,11,10,6,9,7,4,2,12,1,8,5},
//{0,3,12,9,6,8,11,7,4,2,10,5,1},
//{0,5,12,3,2,8,6,4,9,10,1,7,11},
//{0,8,6,5,12,3,2,10,1,11,7,9,4},
//{0,8,11,3,12,9,6,2,10,1,5,4,7},
//{0,9,6,8,11,3,12,1,5,7,4,10,2},
//{0,9,7,3,11,10,6,12,1,5,8,2,4},
//{0,10,6,9,7,3,11,5,8,4,2,1,12}},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{1,3,5},{5,6,10},{0,9,11},{1,9,11},{3,7,8},{2,7,8},{4,6,10},{0,2,4},{5,10,11},{1,5,11},{3,6,7},{3,5,6},{1,8,9},{1,3,8},{2,8,9},{0,2,9},{0,10,11},{0,4,10},{4,6,7},{2,4,7}}},
};
graph_t graphs_bcc[NUM_BCC_GRAPHS] = {
{0,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{6,10,12},{0,10,12},{7,8,13},{2,8,13},{5,10,13},{2,10,13},{2,8,10},{0,8,10}}},
{1,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{6,10,12},{0,10,12},{7,8,13},{2,8,13},{5,10,13},{2,10,13},{0,2,10},{0,2,8}}},
{2,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{6,10,12},{0,10,12},{7,8,13},{2,8,13},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{3,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{4,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{7,8,13},{2,8,13},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{5,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{7,8,13},{2,8,13},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{6,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{2,8,10},{0,8,10}}},
{7,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{0,2,10},{0,2,8}}},
{8,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{9,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{10,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{7,8,13},{2,8,13},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{11,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{7,8,13},{2,8,13},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{12,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{13,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{14,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{0,4,12},{0,4,8},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{15,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{6,9,10},{5,9,10},{0,4,12},{0,4,8},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{16,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{7,8,13},{2,8,13},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{17,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{2,8,10},{0,8,10}}},
{18,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{0,2,10},{0,2,8}}},
{19,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{20,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{4,8,12},{0,8,12},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{21,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{2,8,10},{0,8,10}}},
{22,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{0,2,10},{0,2,8}}},
{23,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{24,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{25,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{2,8,10},{0,8,10}}},
{26,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{0,2,10},{0,2,8}}},
{27,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{2,8,10},{0,8,10}}},
{28,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{6,9,12},{3,9,12},{5,6,10},{5,6,9},{0,4,12},{0,4,8},{0,6,12},{0,6,10},{2,7,13},{2,7,8},{2,5,13},{2,5,10},{0,2,10},{0,2,8}}},
{29,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{{3,9,11},{1,9,11},{4,11,12},{3,11,12},{7,11,13},{1,11,13},{7,8,11},{4,8,11},{5,9,13},{1,9,13},{3,6,12},{3,6,9},{6,9,10},{5,9,10},{4,8,12},{0,8,12},{6,10,12},{0,10,12},{2,7,13},{2,7,8},{5,10,13},{2,10,13},{2,8,10},{0,8,10}}},
{30,
0,
0,
1,
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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