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On this page are computer-accessible forms for the graph C4[ 80, 13 ] = PX(10,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {8, 15} under the group generated by the following permutations:

a: (1, 9, 17, 25, 33, 41, 49, 57, 65, 73)(2, 10, 18, 26, 34, 42, 50, 58, 66, 74)(3, 11, 19, 27, 35, 43, 51, 59, 67, 75)(4, 12, 20, 28, 36, 44, 52, 60, 68, 76)(5, 13, 21, 29, 37, 45, 53, 61, 69, 77)(6, 14, 22, 30, 38, 46, 54, 62, 70, 78)(7, 15, 23, 31, 39, 47, 55, 63, 71, 79)(8, 16, 24, 32, 40, 48, 56, 64, 72, 80)
b: (57, 58)(59, 60)(61, 62)(63, 64)(65, 67)(66, 68)(69, 71)(70, 72)(73, 77)(74, 78)(75, 79)(76, 80)
c: (25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 45)(42, 46)(43, 47)(44, 48)
d: (1, 3)(2, 4)(5, 7)(6, 8)(9, 13)(10, 14)(11, 15)(12, 16)(73, 74)(75, 76)(77, 78)(79, 80)
e: (33, 34)(35, 36)(37, 38)(39, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 53)(50, 54)(51, 55)(52, 56)
f: (1, 2)(3, 4)(5, 6)(7, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 21)(18, 22)(19, 23)(20, 24)
g: (49, 50)(51, 52)(53, 54)(55, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 69)(66, 70)(67, 71)(68, 72)
h: (17, 18)(19, 20)(21, 22)(23, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 37)(34, 38)(35, 39)(36, 40)
m: (41, 42)(43, 44)(45, 46)(47, 48)(49, 51)(50, 52)(53, 55)(54, 56)(57, 61)(58, 62)(59, 63)(60, 64)
n1: (9, 10)(11, 12)(13, 14)(15, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 29)(26, 30)(27, 31)(28, 32)
a1: (2, 5)(4, 7)(9, 73)(10, 77)(11, 75)(12, 79)(13, 74)(14, 78)(15, 76)(16, 80)(17, 65)(18, 69)(19, 67)(20, 71)(21, 66)(22, 70)(23, 68)(24, 72)(25, 57)(26, 61)(27, 59)(28, 63)(29, 58)(30, 62)(31, 60)(32, 64)(33, 49)(34, 53)(35, 51)(36, 55)(37, 50)(38, 54)(39, 52)(40, 56)(42, 45)(44, 47)

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

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