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On this page are computer-accessible forms for the graph C4[ 88, 3 ] = C_88(1,23).

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

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