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On this page are computer-accessible forms for the graph C4[ 88, 2 ] = C_88(1,21).

(I) Following is a form readable by MAGMA:

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

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

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