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On this page are computer-accessible forms for the graph C4[ 80, 24 ] = UG(Cmap(160,9){8,4|5}_10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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