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On this page are computer-accessible forms for the graph C4[ 89, 1 ] = C_89(1,34).

(I) Following is a form readable by MAGMA:

g:=Graph<89|{ {2, 3}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {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}, {1, 2}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {33, 34}, {29, 30}, {25, 26}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {3, 4}, {83, 84}, {75, 76}, {27, 28}, {11, 12}, {19, 20}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {7, 8}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {79, 80}, {47, 48}, {1, 35}, {29, 63}, {28, 62}, {25, 59}, {24, 58}, {4, 38}, {5, 39}, {8, 42}, {9, 43}, {12, 46}, {13, 47}, {16, 50}, {17, 51}, {20, 54}, {21, 55}, {2, 36}, {27, 61}, {26, 60}, {3, 37}, {10, 44}, {11, 45}, {18, 52}, {19, 53}, {6, 40}, {23, 57}, {22, 56}, {7, 41}, {8, 63}, {1, 56}, {3, 58}, {5, 60}, {7, 62}, {2, 57}, {6, 61}, {14, 48}, {15, 49}, {4, 59}, {31, 32}, {9, 64}, {31, 86}, {29, 84}, {27, 82}, {25, 80}, {11, 66}, {13, 68}, {15, 70}, {10, 65}, {30, 85}, {26, 81}, {14, 69}, {12, 67}, {28, 83}, {16, 71}, {24, 79}, {1, 89}, {17, 72}, {23, 78}, {21, 76}, {19, 74}, {18, 73}, {22, 77}, {30, 64}, {31, 65}, {20, 75}, {32, 66}, {33, 67}, {36, 70}, {37, 71}, {40, 74}, {41, 75}, {44, 78}, {45, 79}, {48, 82}, {49, 83}, {52, 86}, {53, 87}, {34, 68}, {35, 69}, {42, 76}, {43, 77}, {50, 84}, {51, 85}, {38, 72}, {39, 73}, {54, 88}, {55, 89}, {32, 87}, {33, 88}, {34, 89}, {46, 80}, {47, 81}, {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, 86, 87, 88, 89)
b: (2, 56, 89, 35)(3, 22, 88, 69)(4, 77, 87, 14)(5, 43, 86, 48)(6, 9, 85, 82)(7, 64, 84, 27)(8, 30, 83, 61)(10, 51, 81, 40)(11, 17, 80, 74)(12, 72, 79, 19)(13, 38, 78, 53)(15, 59, 76, 32)(16, 25, 75, 66)(18, 46, 73, 45)(20, 67, 71, 24)(21, 33, 70, 58)(23, 54, 68, 37)(26, 41, 65, 50)(28, 62, 63, 29)(31, 49, 60, 42)(34, 36, 57, 55)(39, 44, 52, 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.

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

&Graph
C4[ 89, 1 ]
89
-1 56 89 2 35
-2 1 57 3 36
-3 2 58 4 37
-4 3 59 5 38
-5 4 60 6 39
-6 5 61 7 40
-7 6 62 8 41
-8 7 63 9 42
-9 8 64 10 43
-10 11 44 9 65
-11 66 12 45 10
-12 11 67 13 46
-13 12 68 14 47
-14 13 69 15 48
-15 14 70 16 49
-16 15 71 17 50
-17 16 72 18 51
-18 17 73 19 52
-19 18 74 20 53
-20 19 75 21 54
-21 22 55 20 76
-22 77 23 56 21
-23 22 78 24 57
-24 23 79 25 58
-25 24 80 26 59
-26 25 81 27 60
-27 26 82 28 61
-28 27 83 29 62
-29 28 84 30 63
-30 29 85 31 64
-31 30 86 32 65
-32 33 66 31 87
-33 88 34 67 32
-34 33 89 35 68
-35 1 34 36 69
-36 2 35 37 70
-37 3 36 38 71
-38 4 37 39 72
-39 5 38 40 73
-40 6 39 41 74
-41 7 40 42 75
-42 8 41 43 76
-43 44 77 9 42
-44 45 78 10 43
-45 11 44 46 79
-46 12 45 47 80
-47 13 46 48 81
-48 14 47 49 82
-49 15 48 50 83
-50 16 49 51 84
-51 17 50 52 85
-52 18 51 53 86
-53 19 52 54 87
-54 55 88 20 53
-55 56 89 21 54
-56 22 55 1 57
-57 23 56 2 58
-58 24 57 3 59
-59 25 58 4 60
-60 26 59 5 61
-61 27 60 6 62
-62 28 61 7 63
-63 29 62 8 64
-64 30 63 9 65
-65 66 31 64 10
-66 11 67 32 65
-67 33 66 12 68
-68 34 67 13 69
-69 35 68 14 70
-70 36 69 15 71
-71 37 70 16 72
-72 38 71 17 73
-73 39 72 18 74
-74 40 73 19 75
-75 41 74 20 76
-76 77 42 75 21
-77 22 78 43 76
-78 44 77 23 79
-79 45 78 24 80
-80 46 79 25 81
-81 47 80 26 82
-82 48 81 27 83
-83 49 82 28 84
-84 50 83 29 85
-85 51 84 30 86
-86 52 85 31 87
-87 88 53 86 32
-88 33 89 54 87
-89 55 88 1 34
0

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