C4graphGraph forms for C4 [ 93, 1 ] = C_93(1,32)

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On this page are computer-accessible forms for the graph C4[ 93, 1 ] = C_93(1,32).

(I) Following is a form readable by MAGMA:

g:=Graph<93|{ {2, 3}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {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}, {1, 2}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {3, 4}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {27, 28}, {11, 12}, {19, 20}, {35, 36}, {43, 44}, {51, 52}, {7, 8}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {79, 80}, {47, 48}, {1, 33}, {30, 62}, {29, 61}, {28, 60}, {27, 59}, {26, 58}, {25, 57}, {24, 56}, {23, 55}, {22, 54}, {21, 53}, {20, 52}, {2, 34}, {3, 35}, {4, 36}, {5, 37}, {6, 38}, {7, 39}, {8, 40}, {9, 41}, {10, 42}, {11, 43}, {12, 44}, {13, 45}, {14, 46}, {15, 47}, {16, 48}, {17, 49}, {18, 50}, {19, 51}, {31, 63}, {2, 63}, {1, 62}, {31, 32}, {3, 64}, {27, 88}, {23, 84}, {7, 68}, {11, 72}, {15, 76}, {19, 80}, {31, 92}, {4, 65}, {28, 89}, {22, 83}, {20, 81}, {6, 67}, {12, 73}, {14, 75}, {30, 91}, {5, 66}, {29, 90}, {21, 82}, {13, 74}, {8, 69}, {26, 87}, {24, 85}, {10, 71}, {9, 70}, {25, 86}, {1, 93}, {16, 77}, {18, 79}, {17, 78}, {32, 64}, {61, 93}, {60, 92}, {59, 91}, {58, 90}, {33, 65}, {34, 66}, {35, 67}, {36, 68}, {37, 69}, {38, 70}, {39, 71}, {40, 72}, {41, 73}, {42, 74}, {43, 75}, {44, 76}, {45, 77}, {46, 78}, {47, 79}, {48, 80}, {49, 81}, {50, 82}, {51, 83}, {52, 84}, {53, 85}, {54, 86}, {55, 87}, {56, 88}, {57, 89}, {32, 93}, {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, 90, 91, 92, 93)
b: (2, 33)(3, 65)(5, 36)(6, 68)(8, 39)(9, 71)(11, 42)(12, 74)(14, 45)(15, 77)(17, 48)(18, 80)(20, 51)(21, 83)(23, 54)(24, 86)(26, 57)(27, 89)(29, 60)(30, 92)(32, 63)(35, 66)(38, 69)(41, 72)(44, 75)(47, 78)(50, 81)(53, 84)(56, 87)(59, 90)(62, 93)
c: (2, 62)(3, 30)(4, 91)(5, 59)(6, 27)(7, 88)(8, 56)(9, 24)(10, 85)(11, 53)(12, 21)(13, 82)(14, 50)(15, 18)(16, 79)(17, 47)(19, 76)(20, 44)(22, 73)(23, 41)(25, 70)(26, 38)(28, 67)(29, 35)(31, 64)(33, 93)(34, 61)(36, 90)(37, 58)(39, 87)(40, 55)(42, 84)(43, 52)(45, 81)(46, 49)(48, 78)(51, 75)(54, 72)(57, 69)(60, 66)(65, 92)(68, 89)(71, 86)(74, 83)(77, 80)

(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[ 93, 1 ]
93
-1 33 2 93 62
-2 1 34 3 63
-3 2 35 4 64
-4 3 36 5 65
-5 66 4 37 6
-6 67 5 38 7
-7 68 6 39 8
-8 69 7 40 9
-9 70 8 41 10
-10 11 71 9 42
-11 12 72 10 43
-12 11 44 13 73
-13 12 45 14 74
-14 13 46 15 75
-15 14 47 16 76
-16 77 15 48 17
-17 78 16 49 18
-18 79 17 50 19
-19 80 18 51 20
-20 81 19 52 21
-21 22 82 20 53
-22 23 83 21 54
-23 22 55 24 84
-24 23 56 25 85
-25 24 57 26 86
-26 25 58 27 87
-27 88 26 59 28
-28 89 27 60 29
-29 90 28 61 30
-30 91 29 62 31
-31 92 30 63 32
-32 33 93 31 64
-33 1 34 32 65
-34 33 66 2 35
-35 34 67 3 36
-36 35 68 4 37
-37 36 69 5 38
-38 37 70 6 39
-39 38 71 7 40
-40 39 72 8 41
-41 40 73 9 42
-42 41 74 10 43
-43 11 44 42 75
-44 12 45 43 76
-45 44 77 13 46
-46 45 78 14 47
-47 46 79 15 48
-48 47 80 16 49
-49 48 81 17 50
-50 49 82 18 51
-51 50 83 19 52
-52 51 84 20 53
-53 52 85 21 54
-54 22 55 53 86
-55 23 56 54 87
-56 55 88 24 57
-57 56 89 25 58
-58 57 90 26 59
-59 58 91 27 60
-60 59 92 28 61
-61 60 93 29 62
-62 1 61 30 63
-63 2 62 31 64
-64 3 63 32 65
-65 33 66 4 64
-66 34 67 5 65
-67 66 35 68 6
-68 67 36 69 7
-69 68 37 70 8
-70 69 38 71 9
-71 70 39 72 10
-72 11 71 40 73
-73 12 72 41 74
-74 13 73 42 75
-75 14 74 43 76
-76 44 77 15 75
-77 45 78 16 76
-78 77 46 79 17
-79 78 47 80 18
-80 79 48 81 19
-81 80 49 82 20
-82 81 50 83 21
-83 22 82 51 84
-84 23 83 52 85
-85 24 84 53 86
-86 25 85 54 87
-87 55 88 26 86
-88 56 89 27 87
-89 88 57 90 28
-90 89 58 91 29
-91 90 59 92 30
-92 91 60 93 31
-93 1 92 61 32
0

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