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On this page are computer-accessible forms for the graph C4[ 85, 3 ] = C_85(1,38).

(I) Following is a form readable by MAGMA:

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

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

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