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On this page are computer-accessible forms for the graph C4[ 80, 22 ] = UG(ATD[80,24]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {50, 51} under the group generated by the following permutations:

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

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