C4graphGraph forms for C4 [ 95, 1 ] = C_95(1,39)

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On this page are computer-accessible forms for the graph C4[ 95, 1 ] = C_95(1,39).

(I) Following is a form readable by MAGMA:

g:=Graph<95|{ {2, 3}, {94, 95}, {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}, {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}, {60, 61}, {1, 2}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {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}, {61, 62}, {3, 4}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {27, 28}, {11, 12}, {19, 20}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {7, 8}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {79, 80}, {47, 48}, {8, 47}, {24, 63}, {16, 55}, {1, 40}, {23, 62}, {21, 60}, {3, 42}, {5, 44}, {7, 46}, {17, 56}, {19, 58}, {2, 41}, {22, 61}, {6, 45}, {18, 57}, {4, 43}, {20, 59}, {1, 57}, {2, 58}, {3, 59}, {4, 60}, {5, 61}, {6, 62}, {7, 63}, {9, 48}, {11, 50}, {13, 52}, {15, 54}, {10, 49}, {14, 53}, {12, 51}, {31, 32}, {8, 64}, {30, 86}, {29, 85}, {28, 84}, {27, 83}, {26, 82}, {25, 81}, {24, 80}, {9, 65}, {10, 66}, {11, 67}, {12, 68}, {13, 69}, {14, 70}, {15, 71}, {31, 87}, {16, 72}, {23, 79}, {22, 78}, {21, 77}, {20, 76}, {17, 73}, {18, 74}, {19, 75}, {25, 64}, {31, 70}, {29, 68}, {27, 66}, {26, 65}, {30, 69}, {1, 95}, {28, 67}, {32, 71}, {40, 79}, {48, 87}, {56, 95}, {33, 72}, {35, 74}, {37, 76}, {39, 78}, {49, 88}, {51, 90}, {53, 92}, {55, 94}, {34, 73}, {38, 77}, {50, 89}, {54, 93}, {36, 75}, {52, 91}, {32, 88}, {33, 89}, {34, 90}, {35, 91}, {36, 92}, {37, 93}, {38, 94}, {39, 95}, {41, 80}, {43, 82}, {45, 84}, {47, 86}, {42, 81}, {46, 85}, {44, 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, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95)
b: (2, 57)(3, 18)(4, 74)(5, 35)(6, 91)(7, 52)(8, 13)(9, 69)(10, 30)(11, 86)(12, 47)(14, 64)(15, 25)(16, 81)(17, 42)(19, 59)(21, 76)(22, 37)(23, 93)(24, 54)(26, 71)(27, 32)(28, 88)(29, 49)(31, 66)(33, 83)(34, 44)(36, 61)(38, 78)(40, 95)(41, 56)(43, 73)(45, 90)(46, 51)(48, 68)(50, 85)(53, 63)(55, 80)(60, 75)(62, 92)(65, 70)(67, 87)(72, 82)(79, 94)(84, 89)
c: (2, 40)(3, 79)(4, 23)(5, 62)(7, 45)(8, 84)(9, 28)(10, 67)(12, 50)(13, 89)(14, 33)(15, 72)(17, 55)(18, 94)(19, 38)(20, 77)(22, 60)(24, 43)(25, 82)(27, 65)(29, 48)(30, 87)(32, 70)(34, 53)(35, 92)(37, 75)(39, 58)(42, 80)(44, 63)(47, 85)(49, 68)(52, 90)(54, 73)(57, 95)(59, 78)(64, 83)(69, 88)(74, 93)

(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[ 95, 1 ]
95
-1 2 57 40 95
-2 1 3 58 41
-3 2 4 59 42
-4 3 5 60 43
-5 44 4 6 61
-6 45 5 7 62
-7 46 6 8 63
-8 47 7 9 64
-9 48 8 10 65
-10 11 66 49 9
-11 12 67 50 10
-12 11 13 68 51
-13 12 14 69 52
-14 13 15 70 53
-15 14 16 71 54
-16 55 15 17 72
-17 56 16 18 73
-18 57 17 19 74
-19 58 18 20 75
-20 59 19 21 76
-21 22 77 60 20
-22 23 78 61 21
-23 22 24 79 62
-24 23 25 80 63
-25 24 26 81 64
-26 25 27 82 65
-27 66 26 28 83
-28 67 27 29 84
-29 68 28 30 85
-30 69 29 31 86
-31 70 30 32 87
-32 33 88 71 31
-33 34 89 72 32
-34 33 35 90 73
-35 34 36 91 74
-36 35 37 92 75
-37 36 38 93 76
-38 77 37 39 94
-39 78 38 40 95
-40 1 79 39 41
-41 2 80 40 42
-42 3 81 41 43
-43 44 4 82 42
-44 45 5 83 43
-45 44 46 6 84
-46 45 47 7 85
-47 46 48 8 86
-48 47 49 9 87
-49 88 48 50 10
-50 11 89 49 51
-51 12 90 50 52
-52 13 91 51 53
-53 14 92 52 54
-54 55 15 93 53
-55 56 16 94 54
-56 55 57 17 95
-57 1 56 58 18
-58 2 57 59 19
-59 3 58 60 20
-60 4 59 61 21
-61 22 5 60 62
-62 23 6 61 63
-63 24 7 62 64
-64 25 8 63 65
-65 66 26 9 64
-66 67 27 10 65
-67 11 66 68 28
-68 12 67 69 29
-69 13 68 70 30
-70 14 69 71 31
-71 15 70 72 32
-72 33 16 71 73
-73 34 17 72 74
-74 35 18 73 75
-75 36 19 74 76
-76 77 37 20 75
-77 78 38 21 76
-78 22 77 79 39
-79 23 78 80 40
-80 24 79 81 41
-81 25 80 82 42
-82 26 81 83 43
-83 44 27 82 84
-84 45 28 83 85
-85 46 29 84 86
-86 47 30 85 87
-87 88 48 31 86
-88 89 49 32 87
-89 33 88 90 50
-90 34 89 91 51
-91 35 90 92 52
-92 36 91 93 53
-93 37 92 94 54
-94 55 38 93 95
-95 1 56 39 94
0

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