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On this page are computer-accessible forms for the graph C4[ 81, 8 ] = UG(ATD[81,14]).

(I) Following is a form readable by MAGMA:

g:=Graph<81|{ {24, 25}, {36, 38}, {4, 7}, {41, 45}, {1, 4}, {59, 62}, {57, 60}, {51, 54}, {16, 21}, {1, 7}, {72, 78}, {16, 22}, {10, 13}, {66, 69}, {27, 28}, {66, 74}, {69, 77}, {50, 59}, {65, 72}, {19, 25}, {55, 61}, {32, 42}, {1, 10}, {1, 13}, {71, 75}, {50, 62}, {18, 30}, {35, 47}, {18, 31}, {53, 56}, {33, 44}, {37, 40}, {52, 58}, {33, 46}, {48, 63}, {13, 28}, {4, 22}, {38, 53}, {4, 16}, {7, 19}, {10, 31}, {68, 81}, {9, 31}, {13, 27}, {41, 62}, {47, 56}, {10, 18}, {15, 22}, {6, 28}, {75, 81}, {47, 53}, {45, 55}, {39, 61}, {32, 59}, {7, 25}, {78, 80}, {44, 50}, {42, 52}, {36, 58}, {12, 19}, {46, 49}, {18, 49}, {20, 48}, {23, 51}, {15, 42}, {29, 56}, {3, 37}, {26, 60}, {12, 43}, {17, 57}, {3, 40}, {9, 34}, {12, 39}, {2, 46}, {6, 43}, {15, 34}, {21, 58}, {24, 55}, {30, 49}, {5, 52}, {12, 61}, {14, 63}, {21, 36}, {2, 49}, {22, 34}, {8, 61}, {24, 45}, {27, 46}, {6, 48}, {28, 43}, {16, 40}, {19, 43}, {6, 63}, {3, 57}, {9, 51}, {27, 33}, {29, 39}, {15, 52}, {25, 37}, {11, 54}, {21, 40}, {24, 37}, {30, 35}, {31, 34}, {3, 60}, {5, 58}, {8, 55}, {9, 54}, {2, 66}, {11, 75}, {14, 78}, {8, 75}, {23, 81}, {2, 69}, {11, 67}, {5, 78}, {11, 71}, {5, 72}, {14, 64}, {23, 70}, {29, 79}, {17, 66}, {23, 68}, {26, 73}, {20, 65}, {26, 77}, {8, 81}, {29, 71}, {17, 74}, {20, 79}, {20, 72}, {17, 76}, {30, 67}, {14, 80}, {26, 69}, {35, 67}, {41, 73}, {33, 64}, {44, 77}, {45, 73}, {47, 74}, {32, 70}, {38, 65}, {36, 76}, {39, 79}, {35, 74}, {38, 76}, {59, 80}, {42, 70}, {44, 64}, {41, 68}, {32, 80}, {53, 65}, {51, 70}, {60, 73}, {57, 76}, {54, 67}, {62, 68}, {48, 79}, {63, 64}, {56, 71}, {50, 77} }>;

(II) A more general form is to represent the graph as the orbit of {24, 25} under the group generated by the following permutations:

a: (2, 3)(4, 10)(5, 11)(6, 12)(7, 13)(8, 14)(9, 15)(16, 18)(19, 28)(20, 29)(21, 30)(22, 31)(23, 32)(24, 33)(25, 27)(35, 36)(37, 46)(38, 47)(39, 48)(40, 49)(41, 50)(42, 51)(44, 45)(52, 54)(55, 64)(56, 65)(57, 66)(58, 67)(59, 68)(60, 69)(61, 63)(71, 72)(73, 77)(74, 76)(75, 78)(80, 81)
b: (1, 2)(4, 66)(5, 65)(6, 64)(7, 69)(8, 68)(9, 67)(10, 49)(11, 51)(12, 50)(13, 46)(14, 48)(15, 47)(16, 17)(19, 77)(20, 78)(21, 76)(22, 74)(23, 75)(24, 73)(25, 26)(28, 33)(29, 32)(30, 31)(34, 35)(37, 60)(38, 58)(39, 59)(40, 57)(41, 55)(42, 56)(43, 44)(52, 53)(61, 62)(70, 71)(79, 80)
c: (1, 4)(2, 5)(3, 6)(10, 22)(11, 23)(12, 24)(13, 16)(14, 17)(15, 18)(19, 25)(20, 26)(21, 27)(28, 40)(29, 41)(30, 42)(31, 34)(32, 35)(33, 36)(37, 43)(38, 44)(39, 45)(46, 58)(47, 59)(48, 60)(49, 52)(50, 53)(51, 54)(55, 61)(56, 62)(57, 63)(64, 76)(65, 77)(66, 78)(67, 70)(68, 71)(69, 72)(73, 79)(74, 80)(75, 81)
d: (4, 7)(5, 8)(6, 9)(10, 13)(11, 14)(12, 15)(16, 25)(17, 26)(18, 27)(19, 22)(20, 23)(21, 24)(28, 31)(29, 32)(30, 33)(34, 43)(35, 44)(36, 45)(37, 40)(38, 41)(39, 42)(46, 49)(47, 50)(48, 51)(52, 61)(53, 62)(54, 63)(55, 58)(56, 59)(57, 60)(64, 67)(65, 68)(66, 69)(70, 79)(71, 80)(72, 81)(73, 76)(74, 77)(75, 78)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 81, 8 ]
81
-1 13 4 7 10
-2 66 46 69 49
-3 57 37 60 40
-4 22 1 16 7
-5 78 58 72 52
-6 48 28 63 43
-7 1 25 4 19
-8 55 81 61 75
-9 34 51 31 54
-10 1 13 18 31
-11 67 71 75 54
-12 39 61 19 43
-13 1 27 28 10
-14 78 80 63 64
-15 22 34 52 42
-16 22 4 40 21
-17 66 57 74 76
-18 49 30 31 10
-19 12 25 7 43
-20 79 48 72 65
-21 36 58 16 40
-22 34 4 15 16
-23 68 70 81 51
-24 55 45 25 37
-25 24 37 7 19
-26 77 69 60 73
-27 33 13 46 28
-28 13 27 6 43
-29 56 79 71 39
-30 67 35 49 18
-31 34 18 9 10
-32 80 59 70 42
-33 44 46 27 64
-34 22 15 9 31
-35 67 47 30 74
-36 58 38 21 76
-37 24 3 25 40
-38 36 53 65 76
-39 12 79 61 29
-40 3 37 16 21
-41 45 68 62 73
-42 15 70 52 32
-43 12 6 28 19
-44 33 77 50 64
-45 55 24 73 41
-46 33 2 27 49
-47 56 35 74 53
-48 79 6 63 20
-49 2 46 18 30
-50 44 77 59 62
-51 23 70 9 54
-52 58 15 5 42
-53 56 47 38 65
-54 11 67 51 9
-55 45 24 61 8
-56 47 71 29 53
-57 3 60 17 76
-58 36 5 52 21
-59 80 50 62 32
-60 57 3 26 73
-61 55 12 39 8
-62 68 59 50 41
-63 14 48 6 64
-64 33 44 14 63
-65 38 72 20 53
-66 2 69 17 74
-67 11 35 30 54
-68 23 81 62 41
-69 66 77 2 26
-70 23 51 42 32
-71 11 56 29 75
-72 78 5 20 65
-73 45 26 60 41
-74 66 35 47 17
-75 11 81 71 8
-76 57 36 38 17
-77 44 69 26 50
-78 14 80 5 72
-79 48 39 29 20
-80 78 14 59 32
-81 23 68 8 75
0

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