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LTable_11
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LTable_11
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/*
* This file contains the list of all prime links
* with up to 11 crossings in PARI/GP format suitable for feeding into KhoHo,
* a program by A. Shumakovitch for computing and studying Khovanov homology.
* To read from within gp execute `read(LTable_11)'
*
* This list was converted by Shumakovitch from the one supplied
* by D. Bar-Natan with his program Categorification.m
* According to Bar-Natan, this data was acquired from Morwen Thistlethwaite
* and translated to ``Link[X[...],...] format by Dylan Thurston''.
* The list is thus not guaranteed to be absolutely complete and/or correct.
*
* For further info see:
* KhoHo: https://github.com/AShumakovitch/KhoHo
* Categorification.m:
* http://www.math.toronto.edu/~drorbn/papers/Categorification
* Knotscape: http://www.math.utk.edu/~morwen/knotscape.html
*/
{
print1("Loading the table of links with up to 11 crossings ... ");
NumberOfLinks2a = 1; link2a = vector(NumberOfLinks2a);
NumberOfLinks4a = 1; link4a = vector(NumberOfLinks4a);
NumberOfLinks5a = 1; link5a = vector(NumberOfLinks5a);
NumberOfLinks6a = 5; link6a = vector(NumberOfLinks6a);
NumberOfLinks6n = 1; link6n = vector(NumberOfLinks6n);
NumberOfLinks7a = 7; link7a = vector(NumberOfLinks7a);
NumberOfLinks7n = 2; link7n = vector(NumberOfLinks7n);
NumberOfLinks8a = 21; link8a = vector(NumberOfLinks8a);
NumberOfLinks8n = 8; link8n = vector(NumberOfLinks8n);
NumberOfLinks9a = 55; link9a = vector(NumberOfLinks9a);
NumberOfLinks9n = 28; link9n = vector(NumberOfLinks9n);
NumberOfLinks10a = 174; link10a = vector(NumberOfLinks10a);
NumberOfLinks10n = 113; link10n = vector(NumberOfLinks10n);
NumberOfLinks11a = 548; link11a = vector(NumberOfLinks11a);
NumberOfLinks11n = 459; link11n = vector(NumberOfLinks11n);
link2a[1] = [4, 1, 3, 2; 2, 3, 1, 4];
link4a[1] = [6, 1, 7, 2; 8, 3, 5, 4; 2, 5, 3, 6; 4, 7, 1, 8];
link5a[1] = [6, 1, 7, 2; 10, 7, 5, 8; 4, 5, 1, 6; 2, 10, 3, 9;
8, 4, 9, 3];
link6a[1] = [6, 1, 7, 2; 10, 3, 11, 4; 12, 8, 5, 7; 8, 12, 9, 11;
2, 5, 3, 6; 4, 9, 1, 10];
link6a[2] = [8, 1, 9, 2; 12, 5, 7, 6; 10, 3, 11, 4; 4, 11, 5, 12;
2, 7, 3, 8; 6, 9, 1, 10];
link6a[3] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 12, 5, 7, 6;
6, 7, 1, 8; 4, 11, 5, 12];
link6a[4] = [6, 1, 7, 2; 12, 8, 9, 7; 4, 12, 1, 11; 10, 5, 11, 6;
8, 4, 5, 3; 2, 9, 3, 10];
link6a[5] = [6, 1, 7, 2; 10, 3, 11, 4; 12, 7, 9, 8; 8, 11, 5, 12;
2, 5, 3, 6; 4, 9, 1, 10];
link6n[1] = [6, 1, 7, 2; 12, 8, 9, 7; 4, 12, 1, 11; 5, 11, 6, 10;
3, 8, 4, 5; 9, 3, 10, 2];
link7a[1] = [6, 1, 7, 2; 12, 7, 13, 8; 4, 13, 1, 14; 10, 6, 11, 5;
8, 4, 9, 3; 14, 10, 5, 9; 2, 12, 3, 11];
link7a[2] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 11, 5, 12; 12, 7, 13, 8;
8, 13, 9, 14; 2, 5, 3, 6; 4, 9, 1, 10];
link7a[3] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 14, 10, 5, 9;
8, 14, 9, 13; 2, 5, 3, 6; 4, 12, 1, 11];
link7a[4] = [6, 1, 7, 2; 10, 4, 11, 3; 14, 8, 5, 7; 12, 10, 13, 9;
8, 14, 9, 13; 2, 5, 3, 6; 4, 12, 1, 11];
link7a[5] = [8, 1, 9, 2; 10, 3, 11, 4; 12, 6, 13, 5; 14, 11, 7, 12;
4, 14, 5, 13; 2, 7, 3, 8; 6, 9, 1, 10];
link7a[6] = [8, 1, 9, 2; 10, 4, 11, 3; 14, 10, 7, 9; 12, 6, 13, 5;
2, 7, 3, 8; 4, 12, 5, 11; 6, 14, 1, 13];
link7a[7] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 12, 9, 11; 8, 14, 5, 13;
12, 8, 13, 7; 2, 5, 3, 6; 4, 9, 1, 10];
link7n[1] = [6, 1, 7, 2; 12, 7, 13, 8; 4, 13, 1, 14; 5, 10, 6, 11;
3, 8, 4, 9; 9, 14, 10, 5; 11, 2, 12, 3];
link7n[2] = [6, 1, 7, 2; 12, 7, 13, 8; 13, 1, 14, 4; 5, 10, 6, 11;
3, 8, 4, 9; 9, 14, 10, 5; 2, 12, 3, 11];
link8a[1] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 12, 10, 13, 9;
8, 4, 9, 3; 10, 5, 11, 6; 16, 11, 5, 12; 2, 14, 3, 13];
link8a[2] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 16, 14, 5, 13;
14, 9, 15, 10; 8, 15, 9, 16; 2, 5, 3, 6; 4, 12, 1, 11];
link8a[3] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 8, 15, 7; 16, 11, 5, 12;
12, 15, 13, 16; 8, 14, 9, 13; 2, 5, 3, 6; 4, 9, 1, 10];
link8a[4] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 10, 13, 9; 16, 13, 5, 14;
14, 7, 15, 8; 8, 15, 9, 16; 2, 5, 3, 6; 4, 12, 1, 11];
link8a[5] = [6, 1, 7, 2; 12, 3, 13, 4; 14, 8, 15, 7; 16, 10, 5, 9;
8, 16, 9, 15; 10, 14, 11, 13; 2, 5, 3, 6; 4, 11, 1, 12];
link8a[6] = [6, 1, 7, 2; 12, 3, 13, 4; 16, 8, 5, 7; 14, 10, 15, 9;
10, 14, 11, 13; 8, 16, 9, 15; 2, 5, 3, 6; 4, 11, 1, 12];
link8a[7] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 10, 5, 11, 6;
12, 3, 13, 4; 16, 11, 5, 12; 2, 9, 3, 10; 8, 13, 9, 14];
link8a[8] = [8, 1, 9, 2; 10, 4, 11, 3; 16, 10, 7, 9; 2, 7, 3, 8;
14, 12, 15, 11; 12, 5, 13, 6; 4, 13, 5, 14; 6, 16, 1, 15];
link8a[9] = [8, 1, 9, 2; 10, 4, 11, 3; 16, 10, 7, 9; 2, 7, 3, 8;
4, 16, 5, 15; 12, 5, 13, 6; 14, 11, 15, 12; 6, 13, 1, 14];
link8a[10] = [8, 1, 9, 2; 10, 3, 11, 4; 12, 15, 13, 16; 14, 5, 15, 6;
4, 13, 5, 14; 16, 11, 7, 12; 2, 7, 3, 8; 6, 9, 1, 10];
link8a[11] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 14, 5, 15, 6;
16, 11, 7, 12; 12, 15, 13, 16; 6, 7, 1, 8; 4, 13, 5, 14];
link8a[12] = [10, 1, 11, 2; 16, 7, 9, 8; 12, 3, 13, 4; 14, 5, 15, 6;
4, 13, 5, 14; 6, 15, 7, 16; 2, 9, 3, 10; 8, 11, 1, 12];
link8a[13] = [10, 1, 11, 2; 16, 7, 9, 8; 12, 3, 13, 4; 6, 13, 7, 14;
14, 5, 15, 6; 4, 15, 5, 16; 2, 9, 3, 10; 8, 11, 1, 12];
link8a[14] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 14, 5, 15, 6;
16, 7, 9, 8; 8, 9, 1, 10; 4, 13, 5, 14; 6, 15, 7, 16];
link8a[15] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 7, 15, 8; 8, 13, 5, 14;
16, 12, 9, 11; 12, 16, 13, 15; 2, 5, 3, 6; 4, 9, 1, 10];
link8a[16] = [6, 1, 7, 2; 12, 6, 13, 5; 8, 4, 9, 3; 2, 14, 3, 13;
14, 7, 15, 8; 16, 10, 11, 9; 10, 12, 5, 11; 4, 15, 1, 16];
link8a[17] = [6, 1, 7, 2; 12, 3, 13, 4; 10, 13, 5, 14; 8, 15, 9, 16;
14, 7, 15, 8; 16, 9, 11, 10; 2, 5, 3, 6; 4, 11, 1, 12];
link8a[18] = [6, 1, 7, 2; 12, 4, 13, 3; 8, 16, 9, 15; 14, 8, 15, 7;
16, 10, 11, 9; 10, 12, 5, 11; 2, 5, 3, 6; 4, 14, 1, 13];
link8a[19] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 5, 15, 6; 8, 12, 9, 11;
16, 8, 11, 7; 10, 13, 5, 14; 2, 9, 3, 10; 4, 16, 1, 15];
link8a[20] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 12, 13, 11; 14, 8, 15, 7;
8, 14, 9, 13; 12, 16, 5, 15; 2, 5, 3, 6; 4, 9, 1, 10];
link8a[21] = [6, 1, 7, 2; 2, 5, 3, 6; 16, 11, 13, 12; 10, 3, 11, 4;
4, 9, 1, 10; 14, 7, 15, 8; 8, 13, 5, 14; 12, 15, 9, 16];
link8n[1] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 9, 12, 10, 13;
3, 8, 4, 9; 5, 11, 6, 10; 11, 5, 12, 16; 13, 2, 14, 3];
link8n[2] = [6, 1, 7, 2; 14, 7, 15, 8; 15, 1, 16, 4; 9, 12, 10, 13;
3, 8, 4, 9; 5, 11, 6, 10; 11, 5, 12, 16; 2, 14, 3, 13];
link8n[3] = [6, 1, 7, 2; 5, 12, 6, 13; 3, 8, 4, 9; 13, 2, 14, 3;
14, 7, 15, 8; 9, 16, 10, 11; 11, 10, 12, 5; 4, 15, 1, 16];
link8n[4] = [6, 1, 7, 2; 5, 12, 6, 13; 3, 8, 4, 9; 2, 14, 3, 13;
14, 7, 15, 8; 9, 16, 10, 11; 11, 10, 12, 5; 15, 1, 16, 4];
link8n[5] = [6, 1, 7, 2; 5, 12, 6, 13; 8, 4, 9, 3; 2, 14, 3, 13;
14, 7, 15, 8; 9, 16, 10, 11; 11, 10, 12, 5; 4, 15, 1, 16];
link8n[6] = [6, 1, 7, 2; 10, 3, 11, 4; 11, 16, 12, 13; 7, 14, 8, 15;
13, 8, 14, 9; 15, 12, 16, 5; 2, 5, 3, 6; 4, 9, 1, 10];
link8n[7] = [6, 1, 7, 2; 2, 5, 3, 6; 11, 13, 12, 16; 3, 11, 4, 10;
9, 1, 10, 4; 7, 15, 8, 14; 13, 5, 14, 8; 15, 9, 16, 12];
link8n[8] = [6, 1, 7, 2; 2, 5, 3, 6; 16, 11, 13, 12; 3, 11, 4, 10;
9, 1, 10, 4; 7, 15, 8, 14; 13, 5, 14, 8; 12, 15, 9, 16];
link9a[1] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 10, 6, 11, 5;
8, 4, 9, 3; 18, 12, 5, 11; 12, 18, 13, 17; 16, 10, 17, 9;
2, 14, 3, 13];
link9a[2] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 12, 6, 13, 5;
8, 4, 9, 3; 16, 10, 17, 9; 18, 12, 5, 11; 10, 18, 11, 17;
2, 14, 3, 13];
link9a[3] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 12, 6, 13, 5;
8, 4, 9, 3; 14, 10, 15, 9; 10, 14, 11, 13; 18, 12, 5, 11;
2, 16, 3, 15];
link9a[4] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 16, 10, 17, 9;
18, 14, 5, 13; 14, 18, 15, 17; 8, 16, 9, 15; 2, 5, 3, 6;
4, 12, 1, 11];
link9a[5] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 8, 15, 7; 18, 16, 5, 15;
16, 12, 17, 11; 12, 18, 13, 17; 8, 14, 9, 13; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[6] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 11, 17, 12; 14, 7, 15, 8;
8, 15, 9, 16; 18, 13, 5, 14; 12, 17, 13, 18; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[7] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 13, 17, 14; 14, 7, 15, 8;
8, 15, 9, 16; 18, 11, 5, 12; 12, 17, 13, 18; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[8] = [6, 1, 7, 2; 10, 4, 11, 3; 16, 8, 17, 7; 18, 13, 5, 14;
14, 17, 15, 18; 12, 10, 13, 9; 8, 16, 9, 15; 2, 5, 3, 6;
4, 12, 1, 11];
link9a[9] = [6, 1, 7, 2; 14, 7, 15, 8; 16, 9, 17, 10; 8, 15, 9, 16;
4, 17, 1, 18; 12, 6, 13, 5; 10, 4, 11, 3; 18, 12, 5, 11;
2, 14, 3, 13];
link9a[10] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 12, 6, 13, 5;
10, 4, 11, 3; 18, 12, 5, 11; 14, 9, 15, 10; 2, 14, 3, 13;
8, 15, 9, 16];
link9a[11] = [6, 1, 7, 2; 12, 3, 13, 4; 14, 8, 15, 7; 18, 16, 5, 15;
16, 9, 17, 10; 8, 17, 9, 18; 10, 14, 11, 13; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[12] = [6, 1, 7, 2; 12, 3, 13, 4; 18, 13, 5, 14; 14, 7, 15, 8;
16, 9, 17, 10; 8, 15, 9, 16; 10, 17, 11, 18; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[13] = [6, 1, 7, 2; 12, 3, 13, 4; 18, 13, 5, 14; 14, 7, 15, 8;
8, 17, 9, 18; 16, 9, 17, 10; 10, 15, 11, 16; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[14] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 8, 15, 7; 16, 10, 17, 9;
18, 12, 5, 11; 8, 16, 9, 15; 10, 18, 11, 17; 2, 5, 3, 6;
4, 14, 1, 13];
link9a[15] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 8, 15, 7; 18, 12, 5, 11;
8, 18, 9, 17; 16, 10, 17, 9; 10, 16, 11, 15; 2, 5, 3, 6;
4, 14, 1, 13];
link9a[16] = [6, 1, 7, 2; 12, 3, 13, 4; 14, 10, 15, 9; 10, 14, 11, 13;
18, 15, 5, 16; 16, 7, 17, 8; 8, 17, 9, 18; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[17] = [6, 1, 7, 2; 12, 4, 13, 3; 16, 8, 17, 7; 18, 10, 5, 9;
8, 18, 9, 17; 14, 12, 15, 11; 10, 16, 11, 15; 2, 5, 3, 6;
4, 14, 1, 13];
link9a[18] = [6, 1, 7, 2; 12, 4, 13, 3; 18, 8, 5, 7; 16, 10, 17, 9;
14, 12, 15, 11; 10, 16, 11, 15; 8, 18, 9, 17; 2, 5, 3, 6;
4, 14, 1, 13];
link9a[19] = [6, 1, 7, 2; 2, 9, 3, 10; 12, 3, 13, 4; 10, 5, 11, 6;
18, 11, 5, 12; 4, 17, 1, 18; 16, 14, 17, 13; 14, 8, 15, 7;
8, 16, 9, 15];
link9a[20] = [8, 1, 9, 2; 16, 11, 17, 12; 10, 4, 11, 3; 2, 15, 3, 16;
12, 5, 13, 6; 6, 7, 1, 8; 14, 10, 15, 9; 18, 14, 7, 13;
4, 18, 5, 17];
link9a[21] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 14, 8, 15, 7;
18, 14, 7, 13; 6, 17, 1, 18; 16, 11, 17, 12; 12, 6, 13, 5;
4, 16, 5, 15];
link9a[22] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 16, 12, 17, 11;
12, 6, 13, 5; 4, 17, 5, 18; 14, 7, 15, 8; 18, 13, 7, 14;
6, 16, 1, 15];
link9a[23] = [8, 1, 9, 2; 10, 3, 11, 4; 18, 16, 7, 15; 14, 5, 15, 6;
4, 13, 5, 14; 12, 18, 13, 17; 16, 12, 17, 11; 2, 7, 3, 8;
6, 9, 1, 10];
link9a[24] = [8, 1, 9, 2; 10, 3, 11, 4; 14, 6, 15, 5; 16, 11, 17, 12;
18, 13, 7, 14; 12, 17, 13, 18; 4, 16, 5, 15; 2, 7, 3, 8;
6, 9, 1, 10];
link9a[25] = [8, 1, 9, 2; 10, 3, 11, 4; 14, 6, 15, 5; 18, 11, 7, 12;
16, 13, 17, 14; 12, 17, 13, 18; 4, 16, 5, 15; 2, 7, 3, 8;
6, 9, 1, 10];
link9a[26] = [8, 1, 9, 2; 10, 4, 11, 3; 18, 10, 7, 9; 14, 6, 15, 5;
16, 14, 17, 13; 12, 18, 13, 17; 2, 7, 3, 8; 4, 12, 5, 11;
6, 16, 1, 15];
link9a[27] = [8, 1, 9, 2; 10, 4, 11, 3; 18, 10, 7, 9; 2, 7, 3, 8;
16, 13, 17, 14; 6, 12, 1, 11; 4, 16, 5, 15; 14, 6, 15, 5;
12, 17, 13, 18];
link9a[28] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 14, 5, 15, 6;
18, 16, 7, 15; 16, 12, 17, 11; 12, 18, 13, 17; 6, 7, 1, 8;
4, 13, 5, 14];
link9a[29] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 6, 7, 1, 8;
16, 11, 17, 12; 14, 6, 15, 5; 4, 16, 5, 15; 18, 13, 7, 14;
12, 17, 13, 18];
link9a[30] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 6, 7, 1, 8;
16, 13, 17, 14; 14, 6, 15, 5; 4, 16, 5, 15; 18, 11, 7, 12;
12, 17, 13, 18];
link9a[31] = [8, 1, 9, 2; 16, 9, 17, 10; 6, 7, 1, 8; 18, 13, 7, 14;
10, 4, 11, 3; 14, 6, 15, 5; 4, 12, 5, 11; 12, 17, 13, 18;
2, 16, 3, 15];
link9a[32] = [8, 1, 9, 2; 12, 3, 13, 4; 18, 13, 7, 14; 14, 9, 15, 10;
10, 17, 11, 18; 16, 5, 17, 6; 2, 7, 3, 8; 4, 11, 5, 12;
6, 15, 1, 16];
link9a[33] = [8, 1, 9, 2; 12, 3, 13, 4; 18, 10, 7, 9; 10, 14, 11, 13;
16, 5, 17, 6; 14, 18, 15, 17; 2, 7, 3, 8; 4, 11, 5, 12;
6, 15, 1, 16];
link9a[34] = [10, 1, 11, 2; 14, 5, 15, 6; 12, 3, 13, 4; 16, 8, 17, 7;
18, 15, 9, 16; 4, 13, 5, 14; 6, 18, 7, 17; 2, 9, 3, 10;
8, 11, 1, 12];
link9a[35] = [10, 1, 11, 2; 12, 3, 13, 4; 16, 8, 17, 7; 14, 6, 15, 5;
18, 13, 9, 14; 6, 16, 7, 15; 4, 18, 5, 17; 2, 9, 3, 10;
8, 11, 1, 12];
link9a[36] = [10, 1, 11, 2; 12, 4, 13, 3; 18, 12, 9, 11; 14, 6, 15, 5;
16, 8, 17, 7; 2, 9, 3, 10; 4, 14, 5, 13; 6, 16, 7, 15;
8, 18, 1, 17];
link9a[37] = [10, 1, 11, 2; 12, 4, 13, 3; 18, 12, 9, 11; 2, 9, 3, 10;
4, 18, 5, 17; 16, 8, 17, 7; 14, 6, 15, 5; 6, 16, 7, 15;
8, 14, 1, 13];
link9a[38] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 4, 9, 5, 10;
14, 6, 15, 5; 18, 14, 9, 13; 16, 8, 17, 7; 6, 16, 7, 15;
8, 18, 1, 17];
link9a[39] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 14, 5, 15, 6;
6, 9, 7, 10; 16, 8, 17, 7; 18, 16, 9, 15; 8, 18, 1, 17;
4, 13, 5, 14];
link9a[40] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 8, 9, 1, 10;
18, 13, 9, 14; 14, 8, 15, 7; 16, 6, 17, 5; 6, 16, 7, 15;
4, 18, 5, 17];
link9a[41] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 18, 5, 9, 6;
14, 8, 15, 7; 16, 14, 17, 13; 8, 16, 1, 15; 6, 9, 7, 10;
4, 17, 5, 18];
link9a[42] = [10, 1, 11, 2; 12, 4, 13, 3; 18, 5, 9, 6; 6, 9, 7, 10;
16, 12, 17, 11; 14, 8, 15, 7; 4, 14, 5, 13; 8, 16, 1, 15;
2, 17, 3, 18];
link9a[43] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 7, 15, 8; 8, 13, 5, 14;
16, 11, 17, 12; 18, 15, 9, 16; 12, 17, 13, 18; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[44] = [6, 1, 7, 2; 10, 3, 11, 4; 18, 14, 9, 13; 16, 12, 17, 11;
12, 18, 13, 17; 8, 16, 5, 15; 14, 8, 15, 7; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[45] = [6, 1, 7, 2; 10, 3, 11, 4; 18, 12, 9, 11; 16, 14, 17, 13;
8, 16, 5, 15; 14, 8, 15, 7; 12, 18, 13, 17; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[46] = [6, 1, 7, 2; 12, 6, 13, 5; 8, 4, 9, 3; 2, 14, 3, 13;
14, 7, 15, 8; 16, 12, 17, 11; 18, 9, 11, 10; 10, 17, 5, 18;
4, 15, 1, 16];
link9a[47] = [6, 1, 7, 2; 12, 3, 13, 4; 10, 13, 5, 14; 18, 15, 11, 16;
14, 7, 15, 8; 8, 18, 9, 17; 16, 10, 17, 9; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[48] = [6, 1, 7, 2; 12, 3, 13, 4; 18, 14, 11, 13; 8, 16, 9, 15;
14, 8, 15, 7; 16, 10, 17, 9; 10, 18, 5, 17; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[49] = [6, 1, 7, 2; 12, 3, 13, 4; 16, 10, 17, 9; 14, 8, 15, 7;
18, 14, 11, 13; 10, 16, 5, 15; 8, 18, 9, 17; 2, 5, 3, 6;
4, 11, 1, 12];
link9a[50] = [6, 1, 7, 2; 12, 4, 13, 3; 18, 16, 11, 15; 14, 8, 15, 7;
10, 12, 5, 11; 8, 17, 9, 18; 16, 9, 17, 10; 2, 5, 3, 6;
4, 14, 1, 13];
link9a[51] = [6, 1, 7, 2; 12, 4, 13, 3; 8, 12, 9, 11; 18, 8, 11, 7;
16, 13, 17, 14; 14, 6, 15, 5; 10, 16, 5, 15; 2, 9, 3, 10;
4, 18, 1, 17];
link9a[52] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 11, 17, 12; 14, 8, 15, 7;
8, 14, 9, 13; 18, 15, 13, 16; 12, 17, 5, 18; 2, 5, 3, 6;
4, 9, 1, 10];
link9a[53] = [6, 1, 7, 2; 12, 7, 13, 8; 4, 13, 1, 14; 18, 10, 15, 9;
8, 4, 9, 3; 16, 5, 17, 6; 14, 17, 5, 18; 10, 16, 11, 15;
2, 12, 3, 11];
link9a[54] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 18, 13, 15, 14;
16, 10, 17, 9; 8, 16, 9, 15; 14, 17, 5, 18; 2, 5, 3, 6;
4, 12, 1, 11];
link9a[55] = [6, 1, 7, 2; 2, 5, 3, 6; 16, 12, 17, 11; 10, 3, 11, 4;
4, 9, 1, 10; 14, 7, 15, 8; 8, 13, 5, 14; 18, 16, 13, 15;
12, 18, 9, 17];
link9n[1] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 5, 10, 6, 11;
3, 8, 4, 9; 11, 18, 12, 5; 17, 12, 18, 13; 9, 16, 10, 17;
13, 2, 14, 3];
link9n[2] = [6, 1, 7, 2; 14, 7, 15, 8; 15, 1, 16, 4; 5, 10, 6, 11;
3, 8, 4, 9; 11, 18, 12, 5; 17, 12, 18, 13; 9, 16, 10, 17;
2, 14, 3, 13];
link9n[3] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 5, 10, 6, 11;
8, 4, 9, 3; 11, 18, 12, 5; 17, 12, 18, 13; 9, 16, 10, 17;
2, 14, 3, 13];
link9n[4] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 5, 12, 6, 13;
3, 8, 4, 9; 9, 16, 10, 17; 11, 18, 12, 5; 17, 10, 18, 11;
13, 2, 14, 3];
link9n[5] = [6, 1, 7, 2; 14, 7, 15, 8; 15, 1, 16, 4; 5, 12, 6, 13;
3, 8, 4, 9; 9, 16, 10, 17; 11, 18, 12, 5; 17, 10, 18, 11;
2, 14, 3, 13];
link9n[6] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 5, 12, 6, 13;
8, 4, 9, 3; 9, 16, 10, 17; 11, 18, 12, 5; 17, 10, 18, 11;
2, 14, 3, 13];
link9n[7] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 5, 12, 6, 13;
3, 8, 4, 9; 9, 14, 10, 15; 13, 10, 14, 11; 11, 18, 12, 5;
15, 2, 16, 3];
link9n[8] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 5, 12, 6, 13;
8, 4, 9, 3; 9, 14, 10, 15; 13, 10, 14, 11; 11, 18, 12, 5;
2, 16, 3, 15];
link9n[9] = [6, 1, 7, 2; 10, 3, 11, 4; 7, 14, 8, 15; 15, 18, 16, 5;
11, 16, 12, 17; 17, 12, 18, 13; 13, 8, 14, 9; 2, 5, 3, 6;
4, 9, 1, 10];
link9n[10] = [6, 1, 7, 2; 10, 3, 11, 4; 7, 14, 8, 15; 18, 16, 5, 15;
16, 12, 17, 11; 12, 18, 13, 17; 13, 8, 14, 9; 2, 5, 3, 6;
4, 9, 1, 10];
link9n[11] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 8, 15, 7; 15, 18, 16, 5;
11, 16, 12, 17; 17, 12, 18, 13; 8, 14, 9, 13; 2, 5, 3, 6;
4, 9, 1, 10];
link9n[12] = [6, 1, 7, 2; 10, 3, 11, 4; 11, 17, 12, 16; 7, 15, 8, 14;
15, 9, 16, 8; 13, 5, 14, 18; 17, 13, 18, 12; 2, 5, 3, 6;
4, 9, 1, 10];
link9n[13] = [8, 1, 9, 2; 11, 17, 12, 16; 3, 10, 4, 11; 15, 3, 16, 2;
5, 13, 6, 12; 6, 7, 1, 8; 9, 14, 10, 15; 13, 18, 14, 7;
17, 4, 18, 5];
link9n[14] = [8, 1, 9, 2; 11, 17, 12, 16; 3, 10, 4, 11; 15, 3, 16, 2;
5, 13, 6, 12; 6, 7, 1, 8; 14, 10, 15, 9; 18, 14, 7, 13;
17, 4, 18, 5];
link9n[15] = [8, 1, 9, 2; 16, 11, 17, 12; 3, 10, 4, 11; 2, 15, 3, 16;
12, 5, 13, 6; 6, 7, 1, 8; 9, 14, 10, 15; 13, 18, 14, 7;
17, 4, 18, 5];
link9n[16] = [8, 1, 9, 2; 11, 17, 12, 16; 3, 10, 4, 11; 2, 15, 3, 16;
12, 5, 13, 6; 6, 7, 1, 8; 14, 10, 15, 9; 18, 14, 7, 13;
17, 4, 18, 5];
link9n[17] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 7, 14, 8, 15;
13, 18, 14, 7; 17, 1, 18, 6; 16, 11, 17, 12; 5, 12, 6, 13;
4, 16, 5, 15];
link9n[18] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 18, 5, 9, 6;
7, 14, 8, 15; 13, 16, 14, 17; 15, 8, 16, 1; 6, 9, 7, 10;
4, 17, 5, 18];
link9n[19] = [10, 1, 11, 2; 3, 12, 4, 13; 18, 5, 9, 6; 6, 9, 7, 10;
16, 12, 17, 11; 7, 14, 8, 15; 13, 4, 14, 5; 15, 8, 16, 1;
2, 17, 3, 18];
link9n[20] = [6, 1, 7, 2; 3, 11, 4, 10; 7, 15, 8, 14; 13, 5, 14, 8;
11, 17, 12, 16; 15, 9, 16, 18; 17, 13, 18, 12; 2, 5, 3, 6;
9, 1, 10, 4];
link9n[21] = [6, 1, 7, 2; 3, 11, 4, 10; 7, 15, 8, 14; 13, 5, 14, 8;
16, 11, 17, 12; 18, 15, 9, 16; 12, 17, 13, 18; 2, 5, 3, 6;
9, 1, 10, 4];
link9n[22] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 7, 15, 8; 8, 13, 5, 14;
11, 17, 12, 16; 15, 9, 16, 18; 17, 13, 18, 12; 2, 5, 3, 6;
4, 9, 1, 10];
link9n[23] = [6, 1, 7, 2; 5, 12, 6, 13; 3, 8, 4, 9; 13, 2, 14, 3;
14, 7, 15, 8; 11, 16, 12, 17; 9, 11, 10, 18; 17, 5, 18, 10;
4, 15, 1, 16];
link9n[24] = [6, 1, 7, 2; 5, 12, 6, 13; 3, 8, 4, 9; 2, 14, 3, 13;
14, 7, 15, 8; 11, 16, 12, 17; 9, 11, 10, 18; 17, 5, 18, 10;
15, 1, 16, 4];
link9n[25] = [6, 1, 7, 2; 5, 12, 6, 13; 8, 4, 9, 3; 2, 14, 3, 13;
14, 7, 15, 8; 11, 16, 12, 17; 9, 11, 10, 18; 17, 5, 18, 10;
4, 15, 1, 16];
link9n[26] = [6, 1, 7, 2; 10, 3, 11, 4; 11, 17, 12, 16; 7, 14, 8, 15;
13, 8, 14, 9; 15, 13, 16, 18; 17, 5, 18, 12; 2, 5, 3, 6;
4, 9, 1, 10];
link9n[27] = [6, 1, 7, 2; 12, 7, 13, 8; 4, 13, 1, 14; 9, 18, 10, 15;
8, 4, 9, 3; 5, 17, 6, 16; 17, 5, 18, 14; 15, 10, 16, 11;
2, 12, 3, 11];
link9n[28] = [6, 1, 7, 2; 12, 7, 13, 8; 4, 13, 1, 14; 18, 10, 15, 9;
8, 4, 9, 3; 5, 17, 6, 16; 17, 5, 18, 14; 10, 16, 11, 15;
2, 12, 3, 11];
link10a[1] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 10, 6, 11, 5;
8, 4, 9, 3; 18, 11, 19, 12; 20, 17, 5, 18; 12, 19, 13, 20;
16, 10, 17, 9; 2, 14, 3, 13];
link10a[2] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 14, 10, 15, 9;
8, 4, 9, 3; 10, 5, 11, 6; 20, 13, 5, 14; 18, 11, 19, 12;
12, 19, 13, 20; 2, 16, 3, 15];
link10a[3] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 14, 10, 15, 9;
8, 4, 9, 3; 10, 5, 11, 6; 20, 11, 5, 12; 18, 13, 19, 14;
12, 19, 13, 20; 2, 16, 3, 15];
link10a[4] = [6, 1, 7, 2; 14, 7, 15, 8; 4, 15, 1, 16; 12, 6, 13, 5;
8, 4, 9, 3; 16, 10, 17, 9; 20, 18, 5, 17; 18, 11, 19, 12;
10, 19, 11, 20; 2, 14, 3, 13];
link10a[5] = [6, 1, 7, 2; 18, 7, 19, 8; 4, 19, 1, 20; 14, 10, 15, 9;
8, 4, 9, 3; 12, 5, 13, 6; 20, 13, 5, 14; 16, 12, 17, 11;
10, 16, 11, 15; 2, 18, 3, 17];
link10a[6] = [6, 1, 7, 2; 18, 7, 19, 8; 4, 19, 1, 20; 12, 6, 13, 5;
8, 4, 9, 3; 16, 13, 17, 14; 14, 9, 15, 10; 10, 15, 11, 16;
20, 12, 5, 11; 2, 18, 3, 17];
link10a[7] = [6, 1, 7, 2; 18, 7, 19, 8; 4, 19, 1, 20; 14, 12, 15, 11;
8, 4, 9, 3; 12, 5, 13, 6; 20, 13, 5, 14; 16, 10, 17, 9;
10, 16, 11, 15; 2, 18, 3, 17];
link10a[8] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 16, 10, 17, 9;
20, 17, 5, 18; 18, 13, 19, 14; 14, 19, 15, 20; 8, 16, 9, 15;
2, 5, 3, 6; 4, 12, 1, 11];
link10a[9] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 18, 14, 19, 13;
16, 9, 17, 10; 8, 17, 9, 18; 20, 16, 5, 15; 14, 20, 15, 19;
2, 5, 3, 6; 4, 12, 1, 11];
link10a[10] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 8, 13, 7; 18, 16, 19, 15;
16, 9, 17, 10; 8, 17, 9, 18; 20, 14, 5, 13; 14, 20, 15, 19;
2, 5, 3, 6; 4, 12, 1, 11];
link10a[11] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 11, 17, 12; 14, 7, 15, 8;
8, 15, 9, 16; 20, 17, 5, 18; 18, 14, 19, 13; 12, 20, 13, 19;
2, 5, 3, 6; 4, 9, 1, 10];
link10a[12] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 8, 15, 7; 18, 11, 19, 12;
20, 16, 5, 15; 16, 20, 17, 19; 12, 17, 13, 18; 8, 14, 9, 13;
2, 5, 3, 6; 4, 9, 1, 10];
link10a[13] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 13, 17, 14; 14, 7, 15, 8;
8, 15, 9, 16; 20, 18, 5, 17; 18, 12, 19, 11; 12, 20, 13, 19;
2, 5, 3, 6; 4, 9, 1, 10];
link10a[14] = [6, 1, 7, 2; 10, 4, 11, 3; 14, 8, 15, 7; 20, 16, 5, 15;
16, 9, 17, 10; 8, 19, 9, 20; 18, 13, 19, 14; 12, 17, 13, 18;
2, 5, 3, 6; 4, 12, 1, 11];
link10a[15] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 8, 17, 7; 18, 11, 19, 12;
20, 13, 5, 14; 12, 19, 13, 20; 14, 17, 15, 18; 8, 16, 9, 15;
2, 5, 3, 6; 4, 9, 1, 10];
link10a[16] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 8, 17, 7; 20, 11, 5, 12;
18, 13, 19, 14; 14, 17, 15, 18; 12, 19, 13, 20; 8, 16, 9, 15;
2, 5, 3, 6; 4, 9, 1, 10];
link10a[17] = [6, 1, 7, 2; 10, 4, 11, 3; 16, 8, 17, 7; 20, 18, 5, 17;
18, 14, 19, 13; 14, 20, 15, 19; 12, 10, 13, 9; 8, 16, 9, 15;
2, 5, 3, 6; 4, 12, 1, 11];
link10a[18] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 10, 13, 9;
18, 13, 19, 14; 16, 7, 17, 8; 8, 17, 9, 18; 20, 15, 5, 16;
14, 19, 15, 20; 2, 5, 3, 6; 4, 12, 1, 11];
link10a[19] = [6, 1, 7, 2; 10, 4, 11, 3; 12, 10, 13, 9;
18, 15, 19, 16; 16, 7, 17, 8; 8, 17, 9, 18; 20, 13, 5, 14;
14, 19, 15, 20; 2, 5, 3, 6; 4, 12, 1, 11];
link10a[20] = [6, 1, 7, 2; 10, 4, 11, 3; 20, 15, 5, 16; 16, 7, 17, 8;
12, 18, 13, 17; 14, 10, 15, 9; 18, 14, 19, 13; 8, 19, 9, 20;
2, 5, 3, 6; 4, 12, 1, 11];
link10a[21] = [6, 1, 7, 2; 14, 7, 15, 8; 18, 15, 19, 16;
16, 10, 17, 9; 8, 18, 9, 17; 4, 19, 1, 20; 12, 6, 13, 5;
10, 4, 11, 3; 20, 12, 5, 11; 2, 14, 3, 13];
link10a[22] = [6, 1, 7, 2; 14, 9, 15, 10; 4, 19, 1, 20; 12, 6, 13, 5;
10, 4, 11, 3; 20, 12, 5, 11; 2, 14, 3, 13; 18, 16, 19, 15;
16, 8, 17, 7; 8, 18, 9, 17];
link10a[23] = [6, 1, 7, 2; 16, 7, 17, 8; 18, 9, 19, 10; 8, 17, 9, 18;
4, 19, 1, 20; 14, 12, 15, 11; 10, 4, 11, 3; 12, 5, 13, 6;
20, 13, 5, 14; 2, 16, 3, 15];
link10a[24] = [6, 1, 7, 2; 18, 7, 19, 8; 4, 19, 1, 20; 14, 12, 15, 11;
10, 4, 11, 3; 12, 5, 13, 6; 20, 13, 5, 14; 16, 9, 17, 10;
2, 16, 3, 15; 8, 17, 9, 18];
link10a[25] = [6, 1, 7, 2; 12, 3, 13, 4; 20, 13, 5, 14; 14, 7, 15, 8;
18, 15, 19, 16; 16, 10, 17, 9; 8, 18, 9, 17; 10, 19, 11, 20;
2, 5, 3, 6; 4, 11, 1, 12];
link10a[26] = [6, 1, 7, 2; 12, 3, 13, 4; 20, 13, 5, 14; 14, 7, 15, 8;
8, 19, 9, 20; 16, 10, 17, 9; 18, 16, 19, 15; 10, 18, 11, 17;
2, 5, 3, 6; 4, 11, 1, 12];
link10a[27] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 8, 15, 7; 16, 10, 17, 9;
8, 16, 9, 15; 20, 18, 5, 17; 18, 11, 19, 12; 10, 19, 11, 20;
2, 5, 3, 6; 4, 14, 1, 13];
link10a[28] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 8, 15, 7; 20, 16, 5, 15;
16, 9, 17, 10; 8, 19, 9, 20; 18, 11, 19, 12; 10, 17, 11, 18;
2, 5, 3, 6; 4, 14, 1, 13];
link10a[29] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 8, 15, 7; 20, 12, 5, 11;
8, 20, 9, 19; 16, 9, 17, 10; 18, 15, 19, 16; 10, 17, 11, 18;
2, 5, 3, 6; 4, 14, 1, 13];
link10a[30] = [6, 1, 7, 2; 12, 3, 13, 4; 14, 8, 15, 7; 18, 10, 19, 9;
20, 16, 5, 15; 16, 20, 17, 19; 8, 18, 9, 17; 10, 14, 11, 13;
2, 5, 3, 6; 4, 11, 1, 12];
link10a[31] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 8, 15, 7; 20, 16, 5, 15;
16, 11, 17, 12; 18, 9, 19, 10; 10, 17, 11, 18; 8, 19, 9, 20;
2, 5, 3, 6; 4, 14, 1, 13];
link10a[32] = [6, 1, 7, 2; 12, 4, 13, 3; 16, 8, 17, 7; 20, 18, 5, 17;
18, 11, 19, 12; 10, 19, 11, 20; 14, 10, 15, 9; 8, 16, 9, 15;
2, 5, 3, 6; 4, 14, 1, 13];
link10a[33] = [6, 1, 7, 2; 12, 3, 13, 4; 16, 8, 17, 7; 18, 10, 19, 9;
20, 13, 5, 14; 8, 18, 9, 17; 14, 19, 15, 20; 10, 16, 11, 15;
2, 5, 3, 6; 4, 11, 1, 12];
link10a[34] = [6, 1, 7, 2; 12, 4, 13, 3; 16, 8, 17, 7; 20, 18, 5, 17;
18, 9, 19, 10; 8, 19, 9, 20; 14, 12, 15, 11; 10, 16, 11, 15;
2, 5, 3, 6; 4, 14, 1, 13];
link10a[35] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 12, 15, 11;
20, 15, 5, 16; 16, 7, 17, 8; 18, 9, 19, 10; 8, 17, 9, 18;
10, 19, 11, 20; 2, 5, 3, 6; 4, 14, 1, 13];
link10a[36] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 12, 15, 11;
20, 15, 5, 16; 16, 7, 17, 8; 8, 19, 9, 20; 18, 9, 19, 10;
10, 17, 11, 18; 2, 5, 3, 6; 4, 14, 1, 13];
link10a[37] = [6, 1, 7, 2; 12, 3, 13, 4; 18, 8, 19, 7; 20, 15, 5, 16;
16, 19, 17, 20; 14, 10, 15, 9; 10, 14, 11, 13; 8, 18, 9, 17;
2, 5, 3, 6; 4, 11, 1, 12];
link10a[38] = [6, 1, 7, 2; 12, 3, 13, 4; 16, 13, 17, 14;
14, 9, 15, 10; 10, 15, 11, 16; 20, 17, 5, 18; 18, 7, 19, 8;
8, 19, 9, 20; 2, 5, 3, 6; 4, 11, 1, 12];
link10a[39] = [6, 1, 7, 2; 12, 4, 13, 3; 14, 10, 15, 9;
16, 12, 17, 11; 10, 16, 11, 15; 20, 17, 5, 18; 18, 7, 19, 8;
8, 19, 9, 20; 2, 5, 3, 6; 4, 14, 1, 13];
link10a[40] = [6, 1, 7, 2; 12, 3, 13, 4; 18, 8, 19, 7; 20, 13, 5, 14;
14, 19, 15, 20; 16, 10, 17, 9; 10, 16, 11, 15; 8, 18, 9, 17;
2, 5, 3, 6; 4, 11, 1, 12];
link10a[41] = [6, 1, 7, 2; 12, 4, 13, 3; 16, 10, 17, 9;
14, 12, 15, 11; 10, 16, 11, 15; 20, 17, 5, 18; 18, 7, 19, 8;
8, 19, 9, 20; 2, 5, 3, 6; 4, 14, 1, 13];
link10a[42] = [6, 1, 7, 2; 16, 7, 17, 8; 18, 14, 19, 13;
14, 18, 15, 17; 4, 19, 1, 20; 10, 5, 11, 6; 12, 3, 13, 4;
20, 11, 5, 12; 2, 9, 3, 10; 8, 15, 9, 16];
link10a[43] = [6, 1, 7, 2; 2, 9, 3, 10; 12, 3, 13, 4; 20, 12, 5, 11;
18, 6, 19, 5; 10, 20, 11, 19; 4, 17, 1, 18; 16, 14, 17, 13;
14, 8, 15, 7; 8, 16, 9, 15];
link10a[44] = [6, 1, 7, 2; 14, 3, 15, 4; 16, 8, 17, 7; 18, 10, 19, 9;
20, 12, 5, 11; 8, 18, 9, 17; 10, 20, 11, 19; 12, 16, 13, 15;
2, 5, 3, 6; 4, 13, 1, 14];
link10a[45] = [6, 1, 7, 2; 14, 3, 15, 4; 16, 8, 17, 7; 20, 12, 5, 11;
8, 20, 9, 19; 18, 10, 19, 9; 10, 18, 11, 17; 12, 16, 13, 15;
2, 5, 3, 6; 4, 13, 1, 14];
link10a[46] = [6, 1, 7, 2; 14, 3, 15, 4; 18, 8, 19, 7; 20, 10, 5, 9;
8, 20, 9, 19; 12, 18, 13, 17; 16, 12, 17, 11; 10, 16, 11, 15;
2, 5, 3, 6; 4, 13, 1, 14];
link10a[47] = [6, 1, 7, 2; 14, 3, 15, 4; 18, 8, 19, 7; 20, 10, 5, 9;
8, 20, 9, 19; 16, 12, 17, 11; 12, 16, 13, 15; 10, 18, 11, 17;
2, 5, 3, 6; 4, 13, 1, 14];
link10a[48] = [6, 1, 7, 2; 14, 3, 15, 4; 20, 8, 5, 7; 18, 10, 19, 9;
16, 12, 17, 11; 12, 16, 13, 15; 10, 18, 11, 17; 8, 20, 9, 19;
2, 5, 3, 6; 4, 13, 1, 14];
link10a[49] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 10, 5, 11, 6;
14, 3, 15, 4; 18, 11, 19, 12; 20, 13, 5, 14; 12, 19, 13, 20;
2, 9, 3, 10; 8, 15, 9, 16];
link10a[50] = [6, 1, 7, 2; 16, 7, 17, 8; 4, 17, 1, 18; 10, 5, 11, 6;
14, 3, 15, 4; 20, 11, 5, 12; 18, 13, 19, 14; 12, 19, 13, 20;
2, 9, 3, 10; 8, 15, 9, 16];
link10a[51] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
4, 15, 5, 16; 12, 5, 13, 6; 16, 12, 17, 11; 6, 18, 1, 17;
14, 19, 15, 20; 18, 13, 19, 14];
link10a[52] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
16, 11, 17, 12; 12, 5, 13, 6; 4, 18, 5, 17; 14, 20, 15, 19;
18, 14, 19, 13; 6, 15, 1, 16];
link10a[53] = [8, 1, 9, 2; 18, 9, 19, 10; 6, 7, 1, 8; 20, 14, 7, 13;
12, 5, 13, 6; 10, 4, 11, 3; 4, 15, 5, 16; 16, 12, 17, 11;
14, 20, 15, 19; 2, 18, 3, 17];
link10a[54] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 18, 11, 19, 12;
12, 6, 13, 5; 4, 18, 5, 17; 14, 7, 15, 8; 16, 14, 17, 13;
20, 15, 7, 16; 6, 19, 1, 20];
link10a[55] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 14, 8, 15, 7;
16, 13, 17, 14; 6, 18, 1, 17; 18, 12, 19, 11; 12, 6, 13, 5;
20, 16, 7, 15; 4, 19, 5, 20];
link10a[56] = [8, 1, 9, 2; 16, 7, 17, 8; 10, 4, 11, 3; 12, 5, 13, 6;
20, 12, 7, 11; 18, 13, 19, 14; 2, 15, 3, 16; 4, 19, 5, 20;
14, 10, 15, 9; 6, 18, 1, 17];
link10a[57] = [8, 1, 9, 2; 10, 3, 11, 4; 14, 6, 15, 5; 16, 11, 17, 12;
20, 17, 7, 18; 18, 14, 19, 13; 12, 20, 13, 19; 4, 16, 5, 15;
2, 7, 3, 8; 6, 9, 1, 10];
link10a[58] = [8, 1, 9, 2; 10, 3, 11, 4; 20, 16, 7, 15; 14, 5, 15, 6;
4, 13, 5, 14; 12, 17, 13, 18; 18, 11, 19, 12; 16, 20, 17, 19;
2, 7, 3, 8; 6, 9, 1, 10];
link10a[59] = [8, 1, 9, 2; 10, 3, 11, 4; 14, 6, 15, 5; 16, 13, 17, 14;
20, 18, 7, 17; 18, 12, 19, 11; 12, 20, 13, 19; 4, 16, 5, 15;
2, 7, 3, 8; 6, 9, 1, 10];
link10a[60] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 14, 6, 15, 5;
18, 13, 19, 14; 16, 19, 17, 20; 12, 17, 13, 18; 2, 7, 3, 8;
4, 12, 5, 11; 6, 16, 1, 15];
link10a[61] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
18, 14, 19, 13; 6, 12, 1, 11; 16, 20, 17, 19; 4, 16, 5, 15;
14, 6, 15, 5; 12, 18, 13, 17];
link10a[62] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
16, 12, 17, 11; 14, 5, 15, 6; 4, 15, 5, 16; 18, 14, 19, 13;
12, 18, 13, 17; 6, 20, 1, 19];
link10a[63] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
4, 20, 5, 19; 14, 5, 15, 6; 16, 11, 17, 12; 18, 13, 19, 14;
12, 17, 13, 18; 6, 15, 1, 16];
link10a[64] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
16, 14, 17, 13; 14, 5, 15, 6; 4, 15, 5, 16; 18, 12, 19, 11;
12, 18, 13, 17; 6, 20, 1, 19];
link10a[65] = [8, 1, 9, 2; 10, 4, 11, 3; 20, 10, 7, 9; 2, 7, 3, 8;
4, 20, 5, 19; 14, 5, 15, 6; 18, 11, 19, 12; 16, 13, 17, 14;
12, 17, 13, 18; 6, 15, 1, 16];
link10a[66] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 6, 7, 1, 8;
16, 11, 17, 12; 14, 6, 15, 5; 4, 16, 5, 15; 20, 17, 7, 18;
18, 14, 19, 13; 12, 20, 13, 19];
link10a[67] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 14, 5, 15, 6;
18, 11, 19, 12; 20, 16, 7, 15; 16, 20, 17, 19; 12, 17, 13, 18;
6, 7, 1, 8; 4, 13, 5, 14];
link10a[68] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 6, 7, 1, 8;
16, 13, 17, 14; 14, 6, 15, 5; 4, 16, 5, 15; 20, 18, 7, 17;
18, 12, 19, 11; 12, 20, 13, 19];
link10a[69] = [8, 1, 9, 2; 16, 9, 17, 10; 6, 7, 1, 8; 20, 17, 7, 18;
10, 4, 11, 3; 14, 6, 15, 5; 4, 12, 5, 11; 18, 14, 19, 13;
12, 20, 13, 19; 2, 16, 3, 15];
link10a[70] = [8, 1, 9, 2; 18, 9, 19, 10; 14, 6, 15, 5;
16, 12, 17, 11; 10, 4, 11, 3; 12, 7, 13, 8; 20, 15, 7, 16;
6, 14, 1, 13; 4, 19, 5, 20; 2, 18, 3, 17];
link10a[71] = [8, 1, 9, 2; 18, 9, 19, 10; 14, 6, 15, 5; 16, 8, 17, 7;
10, 4, 11, 3; 20, 12, 7, 11; 12, 15, 13, 16; 6, 14, 1, 13;
4, 19, 5, 20; 2, 18, 3, 17];
link10a[72] = [8, 1, 9, 2; 10, 3, 11, 4; 14, 17, 15, 18; 16, 5, 17, 6;
4, 15, 5, 16; 18, 11, 19, 12; 20, 13, 7, 14; 12, 19, 13, 20;
2, 7, 3, 8; 6, 9, 1, 10];
link10a[73] = [8, 1, 9, 2; 10, 3, 11, 4; 14, 17, 15, 18; 16, 5, 17, 6;
4, 15, 5, 16; 20, 11, 7, 12; 18, 13, 19, 14; 12, 19, 13, 20;
2, 7, 3, 8; 6, 9, 1, 10];
link10a[74] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 16, 5, 17, 6;
18, 11, 19, 12; 20, 13, 7, 14; 12, 19, 13, 20; 14, 17, 15, 18;
6, 7, 1, 8; 4, 15, 5, 16];
link10a[75] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 16, 5, 17, 6;
20, 11, 7, 12; 18, 13, 19, 14; 14, 17, 15, 18; 12, 19, 13, 20;
6, 7, 1, 8; 4, 15, 5, 16];
link10a[76] = [8, 1, 9, 2; 14, 9, 15, 10; 6, 7, 1, 8; 20, 15, 7, 16;
16, 6, 17, 5; 4, 20, 5, 19; 10, 4, 11, 3; 12, 17, 13, 18;
18, 11, 19, 12; 2, 14, 3, 13];
link10a[77] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 16, 5, 17, 6;
14, 7, 15, 8; 18, 11, 19, 12; 20, 15, 7, 16; 12, 17, 13, 18;
4, 13, 5, 14; 6, 19, 1, 20];
link10a[78] = [8, 1, 9, 2; 2, 9, 3, 10; 10, 3, 11, 4; 14, 8, 15, 7;
6, 13, 1, 14; 18, 12, 19, 11; 16, 5, 17, 6; 12, 18, 13, 17;
20, 16, 7, 15; 4, 19, 5, 20];
link10a[79] = [8, 1, 9, 2; 12, 3, 13, 4; 20, 13, 7, 14; 14, 9, 15, 10;
10, 19, 11, 20; 16, 6, 17, 5; 18, 16, 19, 15; 2, 7, 3, 8;
4, 11, 5, 12; 6, 18, 1, 17];
link10a[80] = [8, 1, 9, 2; 12, 3, 13, 4; 18, 10, 19, 9; 20, 13, 7, 14;
14, 19, 15, 20; 10, 16, 11, 15; 16, 6, 17, 5; 2, 7, 3, 8;
4, 11, 5, 12; 6, 18, 1, 17];
link10a[81] = [8, 1, 9, 2; 12, 3, 13, 4; 14, 19, 15, 20; 16, 5, 17, 6;
18, 10, 19, 9; 4, 15, 5, 16; 10, 18, 11, 17; 20, 13, 7, 14;
2, 7, 3, 8; 6, 11, 1, 12];
link10a[82] = [8, 1, 9, 2; 12, 3, 13, 4; 20, 10, 7, 9; 10, 14, 11, 13;
16, 6, 17, 5; 18, 16, 19, 15; 14, 20, 15, 19; 2, 7, 3, 8;
4, 11, 5, 12; 6, 18, 1, 17];
link10a[83] = [8, 1, 9, 2; 12, 3, 13, 4; 20, 10, 7, 9; 14, 17, 15, 18;
16, 5, 17, 6; 4, 15, 5, 16; 18, 13, 19, 14; 10, 20, 11, 19;
2, 7, 3, 8; 6, 11, 1, 12];
link10a[84] = [8, 1, 9, 2; 14, 9, 15, 10; 4, 7, 5, 8; 16, 6, 17, 5;
18, 16, 19, 15; 6, 18, 1, 17; 20, 11, 7, 12; 10, 19, 11, 20;
2, 14, 3, 13; 12, 4, 13, 3];
link10a[85] = [8, 1, 9, 2; 16, 5, 17, 6; 18, 10, 19, 9;
10, 20, 11, 19; 14, 18, 15, 17; 2, 11, 3, 12; 12, 3, 13, 4;
4, 7, 5, 8; 20, 14, 7, 13; 6, 15, 1, 16];
link10a[86] = [8, 1, 9, 2; 16, 6, 17, 5; 18, 10, 19, 9;
14, 19, 15, 20; 10, 16, 11, 15; 20, 11, 7, 12; 4, 7, 5, 8;
2, 14, 3, 13; 12, 4, 13, 3; 6, 18, 1, 17];
link10a[87] = [8, 1, 9, 2; 20, 9, 7, 10; 6, 7, 1, 8; 2, 11, 3, 12;
12, 3, 13, 4; 16, 5, 17, 6; 18, 13, 19, 14; 14, 17, 15, 18;
4, 15, 5, 16; 10, 19, 11, 20];
link10a[88] = [10, 1, 11, 2; 12, 3, 13, 4; 14, 6, 15, 5; 16, 7, 17, 8;
18, 16, 19, 15; 20, 13, 9, 14; 6, 17, 7, 18; 4, 20, 5, 19;
2, 9, 3, 10; 8, 11, 1, 12];
link10a[89] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11;
14, 6, 15, 5; 2, 9, 3, 10; 4, 14, 5, 13; 18, 16, 19, 15;
16, 7, 17, 8; 6, 17, 7, 18; 8, 20, 1, 19];
link10a[90] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11;
14, 6, 15, 5; 2, 9, 3, 10; 4, 14, 5, 13; 6, 20, 7, 19; 16, 7, 17, 8;
18, 15, 19, 16; 8, 17, 1, 18];
link10a[91] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11; 2, 9, 3, 10;
4, 20, 5, 19; 14, 6, 15, 5; 16, 7, 17, 8; 18, 16, 19, 15;
6, 17, 7, 18; 8, 14, 1, 13];
link10a[92] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11; 2, 9, 3, 10;
18, 14, 19, 13; 14, 5, 15, 6; 4, 17, 5, 18; 16, 7, 17, 8;
6, 15, 7, 16; 8, 20, 1, 19];
link10a[93] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11; 2, 9, 3, 10;
4, 20, 5, 19; 14, 5, 15, 6; 18, 13, 19, 14; 16, 7, 17, 8;
6, 15, 7, 16; 8, 17, 1, 18];
link10a[94] = [10, 1, 11, 2; 14, 5, 15, 6; 12, 3, 13, 4; 4, 13, 5, 14;
16, 19, 17, 20; 18, 7, 19, 8; 6, 17, 7, 18; 20, 15, 9, 16;
2, 9, 3, 10; 8, 11, 1, 12];
link10a[95] = [10, 1, 11, 2; 12, 3, 13, 4; 14, 6, 15, 5;
16, 13, 17, 14; 18, 8, 19, 7; 20, 17, 9, 18; 4, 16, 5, 15;
6, 20, 7, 19; 2, 9, 3, 10; 8, 11, 1, 12];
link10a[96] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 4, 9, 5, 10;
14, 5, 15, 6; 16, 19, 17, 20; 18, 7, 19, 8; 6, 17, 7, 18;
20, 15, 9, 16; 8, 13, 1, 14];
link10a[97] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 14, 5, 15, 6;
6, 9, 7, 10; 18, 7, 19, 8; 20, 16, 9, 15; 16, 20, 17, 19;
8, 17, 1, 18; 4, 13, 5, 14];
link10a[98] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4; 14, 5, 15, 6;
18, 7, 19, 8; 20, 15, 9, 16; 16, 19, 17, 20; 8, 9, 1, 10;
4, 13, 5, 14; 6, 17, 7, 18];
link10a[99] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11; 2, 9, 3, 10;
18, 14, 19, 13; 14, 7, 15, 8; 16, 5, 17, 6; 6, 15, 7, 16;
4, 17, 5, 18; 8, 20, 1, 19];
link10a[100] = [10, 1, 11, 2; 12, 3, 13, 4; 14, 19, 15, 20;
18, 7, 19, 8; 16, 5, 17, 6; 4, 15, 5, 16; 6, 17, 7, 18;
20, 13, 9, 14; 2, 9, 3, 10; 8, 11, 1, 12];
link10a[101] = [10, 1, 11, 2; 12, 3, 13, 4; 14, 19, 15, 20;
18, 7, 19, 8; 6, 15, 7, 16; 16, 5, 17, 6; 4, 17, 5, 18;
20, 13, 9, 14; 2, 9, 3, 10; 8, 11, 1, 12];
link10a[102] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4;
16, 5, 17, 6; 20, 13, 9, 14; 14, 19, 15, 20; 18, 7, 19, 8;
8, 9, 1, 10; 4, 15, 5, 16; 6, 17, 7, 18];
link10a[103] = [10, 1, 11, 2; 12, 4, 13, 3; 20, 12, 9, 11;
2, 9, 3, 10; 4, 17, 5, 18; 18, 5, 19, 6; 6, 14, 7, 13; 14, 8, 15, 7;
8, 16, 1, 15; 16, 19, 17, 20];
link10a[104] = [10, 1, 11, 2; 16, 11, 17, 12; 8, 9, 1, 10;
20, 17, 9, 18; 12, 4, 13, 3; 14, 8, 15, 7; 6, 14, 7, 13;
18, 6, 19, 5; 4, 20, 5, 19; 2, 16, 3, 15];
link10a[105] = [10, 1, 11, 2; 2, 11, 3, 12; 12, 3, 13, 4;
16, 10, 17, 9; 6, 13, 7, 14; 14, 7, 15, 8; 8, 15, 1, 16;
20, 18, 9, 17; 4, 19, 5, 20; 18, 5, 19, 6];
link10a[106] = [10, 1, 11, 2; 18, 11, 19, 12; 20, 5, 9, 6;
14, 7, 15, 8; 12, 4, 13, 3; 16, 14, 17, 13; 6, 15, 7, 16;
8, 9, 1, 10; 4, 19, 5, 20; 2, 18, 3, 17];
link10a[107] = [10, 1, 11, 2; 20, 5, 9, 6; 14, 3, 15, 4; 4, 15, 5, 16;
16, 7, 17, 8; 18, 12, 19, 11; 12, 18, 13, 17; 2, 9, 3, 10;
8, 13, 1, 14; 6, 19, 7, 20];
link10a[108] = [12, 1, 13, 2; 16, 7, 17, 8; 10, 5, 1, 6; 6, 3, 7, 4;
4, 9, 5, 10; 20, 17, 11, 18; 18, 13, 19, 14; 14, 19, 15, 20;
2, 11, 3, 12; 8, 15, 9, 16];
link10a[109] = [12, 1, 13, 2; 16, 8, 17, 7; 10, 5, 1, 6; 6, 3, 7, 4;
4, 9, 5, 10; 18, 14, 19, 13; 20, 16, 11, 15; 14, 20, 15, 19;
2, 11, 3, 12; 8, 18, 9, 17];
link10a[110] = [12, 1, 13, 2; 8, 4, 9, 3; 18, 14, 19, 13;
20, 16, 11, 15; 14, 20, 15, 19; 6, 17, 7, 18; 16, 7, 17, 8;
10, 6, 1, 5; 4, 10, 5, 9; 2, 11, 3, 12];
link10a[111] = [12, 1, 13, 2; 16, 7, 17, 8; 8, 3, 9, 4; 2, 18, 3, 17;
14, 6, 15, 5; 6, 12, 7, 11; 18, 10, 19, 9; 20, 15, 11, 16;
10, 13, 1, 14; 4, 19, 5, 20];
link10a[112] = [12, 1, 13, 2; 8, 4, 9, 3; 14, 6, 15, 5; 18, 7, 19, 8;
16, 10, 17, 9; 10, 11, 1, 12; 6, 14, 7, 13; 4, 19, 5, 20;
20, 15, 11, 16; 2, 18, 3, 17];
link10a[113] = [12, 1, 13, 2; 8, 4, 9, 3; 18, 14, 19, 13;
20, 8, 11, 7; 6, 20, 7, 19; 4, 15, 5, 16; 14, 5, 15, 6;
16, 10, 17, 9; 2, 11, 3, 12; 10, 18, 1, 17];
link10a[114] = [12, 1, 13, 2; 20, 9, 11, 10; 14, 3, 15, 4;
16, 5, 17, 6; 18, 7, 19, 8; 4, 15, 5, 16; 6, 17, 7, 18;
8, 19, 9, 20; 2, 11, 3, 12; 10, 13, 1, 14];
link10a[115] = [12, 1, 13, 2; 20, 9, 11, 10; 14, 3, 15, 4;
16, 5, 17, 6; 4, 15, 5, 16; 8, 17, 9, 18; 18, 7, 19, 8;
6, 19, 7, 20; 2, 11, 3, 12; 10, 13, 1, 14];
link10a[116] = [12, 1, 13, 2; 20, 9, 11, 10; 14, 3, 15, 4;
8, 15, 9, 16; 16, 5, 17, 6; 18, 7, 19, 8; 6, 17, 7, 18;
4, 19, 5, 20; 2, 11, 3, 12; 10, 13, 1, 14];
link10a[117] = [12, 1, 13, 2; 2, 13, 3, 14; 14, 3, 15, 4;
4, 11, 5, 12; 20, 9, 11, 10; 16, 5, 17, 6; 18, 7, 19, 8;
6, 17, 7, 18; 8, 19, 9, 20; 10, 15, 1, 16];
link10a[118] = [12, 1, 13, 2; 2, 13, 3, 14; 14, 3, 15, 4;
16, 5, 17, 6; 18, 7, 19, 8; 20, 9, 11, 10; 10, 11, 1, 12;
4, 15, 5, 16; 6, 17, 7, 18; 8, 19, 9, 20];
link10a[119] = [12, 1, 13, 2; 20, 7, 11, 8; 14, 3, 15, 4;
6, 15, 7, 16; 16, 5, 17, 6; 4, 17, 5, 18; 18, 9, 19, 10;
2, 11, 3, 12; 10, 13, 1, 14; 8, 19, 9, 20];
link10a[120] = [12, 1, 13, 2; 2, 13, 3, 14; 14, 3, 15, 4;
16, 5, 17, 6; 6, 11, 7, 12; 20, 7, 11, 8; 18, 9, 19, 10;
10, 17, 1, 18; 8, 19, 9, 20; 4, 15, 5, 16];
link10a[121] = [12, 1, 13, 2; 20, 5, 11, 6; 16, 3, 17, 4;
10, 15, 1, 16; 8, 19, 9, 20; 18, 9, 19, 10; 4, 17, 5, 18;
2, 11, 3, 12; 6, 13, 7, 14; 14, 7, 15, 8];
link10a[122] = [6, 1, 7, 2; 10, 3, 11, 4; 16, 12, 17, 11;
18, 13, 19, 14; 20, 18, 9, 17; 12, 19, 13, 20; 8, 16, 5, 15;
14, 8, 15, 7; 2, 5, 3, 6; 4, 9, 1, 10];
link10a[123] = [6, 1, 7, 2; 10, 3, 11, 4; 14, 7, 15, 8; 8, 13, 5, 14;
18, 12, 19, 11; 20, 15, 9, 16; 16, 19, 17, 20; 12, 18, 13, 17;
2, 5, 3, 6; 4, 9, 1, 10];