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On this page are computer-accessible forms for the graph C4[ 85, 2 ] = C_85(1,16).

(I) Following is a form readable by MAGMA:

g:=Graph<85|{ {2, 3}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {1, 2}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {37, 38}, {33, 34}, {29, 30}, {25, 26}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {3, 4}, {83, 84}, {75, 76}, {67, 68}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {43, 44}, {51, 52}, {59, 60}, {7, 8}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {1, 17}, {69, 85}, {68, 84}, {67, 83}, {37, 53}, {36, 52}, {35, 51}, {34, 50}, {33, 49}, {32, 48}, {2, 18}, {3, 19}, {4, 20}, {5, 21}, {6, 22}, {7, 23}, {8, 24}, {9, 25}, {10, 26}, {11, 27}, {12, 28}, {13, 29}, {14, 30}, {15, 31}, {38, 54}, {39, 55}, {40, 56}, {41, 57}, {42, 58}, {43, 59}, {44, 60}, {45, 61}, {46, 62}, {47, 63}, {64, 80}, {65, 81}, {66, 82}, {15, 16}, {79, 80}, {47, 48}, {16, 32}, {31, 47}, {30, 46}, {29, 45}, {28, 44}, {27, 43}, {26, 42}, {25, 41}, {24, 40}, {23, 39}, {22, 38}, {21, 37}, {17, 33}, {18, 34}, {19, 35}, {20, 36}, {31, 32}, {2, 71}, {8, 77}, {10, 79}, {16, 85}, {1, 70}, {9, 78}, {3, 72}, {7, 76}, {4, 73}, {6, 75}, {5, 74}, {1, 85}, {11, 80}, {15, 84}, {12, 81}, {14, 83}, {13, 82}, {48, 64}, {49, 65}, {50, 66}, {51, 67}, {52, 68}, {53, 69}, {54, 70}, {55, 71}, {56, 72}, {57, 73}, {58, 74}, {59, 75}, {60, 76}, {61, 77}, {62, 78}, {63, 79}, {63, 64} }>;

(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, 17)(3, 33)(4, 49)(5, 65)(6, 81)(7, 12)(8, 28)(9, 44)(10, 60)(11, 76)(13, 23)(14, 39)(15, 55)(16, 71)(19, 34)(20, 50)(21, 66)(22, 82)(24, 29)(25, 45)(26, 61)(27, 77)(30, 40)(31, 56)(32, 72)(36, 51)(37, 67)(38, 83)(41, 46)(42, 62)(43, 78)(47, 57)(48, 73)(53, 68)(54, 84)(58, 63)(59, 79)(64, 74)(70, 85)(75, 80)
b: (2, 70)(3, 54)(4, 38)(5, 22)(7, 75)(8, 59)(9, 43)(10, 27)(12, 80)(13, 64)(14, 48)(15, 32)(17, 85)(18, 69)(19, 53)(20, 37)(23, 74)(24, 58)(25, 42)(28, 79)(29, 63)(30, 47)(33, 84)(34, 68)(35, 52)(39, 73)(40, 57)(44, 78)(45, 62)(49, 83)(50, 67)(55, 72)(60, 77)(65, 82)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85)

(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.

**************

&Graph
C4[ 85, 2 ]
85
-1 2 70 17 85
-2 1 3 71 18
-3 2 4 72 19
-4 3 5 73 20
-5 4 6 74 21
-6 22 5 7 75
-7 23 6 8 76
-8 77 24 7 9
-9 78 25 8 10
-10 11 79 26 9
-11 12 80 27 10
-12 11 13 81 28
-13 12 14 82 29
-14 13 15 83 30
-15 14 16 84 31
-16 15 17 85 32
-17 33 1 16 18
-18 34 2 17 19
-19 35 3 18 20
-20 36 4 19 21
-21 22 37 5 20
-22 23 38 6 21
-23 22 24 39 7
-24 23 25 40 8
-25 24 26 41 9
-26 25 27 42 10
-27 11 26 28 43
-28 44 12 27 29
-29 45 13 28 30
-30 46 14 29 31
-31 47 15 30 32
-32 33 48 16 31
-33 34 49 17 32
-34 33 35 50 18
-35 34 36 51 19
-36 35 37 52 20
-37 36 38 53 21
-38 22 37 39 54
-39 55 23 38 40
-40 56 24 39 41
-41 57 25 40 42
-42 58 26 41 43
-43 44 59 27 42
-44 45 60 28 43
-45 44 46 61 29
-46 45 47 62 30
-47 46 48 63 31
-48 47 49 64 32
-49 33 48 50 65
-50 66 34 49 51
-51 67 35 50 52
-52 68 36 51 53
-53 69 37 52 54
-54 55 70 38 53
-55 56 71 39 54
-56 55 57 72 40
-57 56 58 73 41
-58 57 59 74 42
-59 58 60 75 43
-60 44 59 61 76
-61 77 45 60 62
-62 78 46 61 63
-63 79 47 62 64
-64 80 48 63 65
-65 66 81 49 64
-66 67 82 50 65
-67 66 68 83 51
-68 67 69 84 52
-69 68 70 85 53
-70 1 69 71 54
-71 55 2 70 72
-72 56 3 71 73
-73 57 4 72 74
-74 58 5 73 75
-75 59 6 74 76
-76 77 60 7 75
-77 78 61 8 76
-78 77 79 62 9
-79 78 80 63 10
-80 11 79 81 64
-81 12 80 82 65
-82 66 13 81 83
-83 67 14 82 84
-84 68 15 83 85
-85 1 69 16 84
0

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