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On this page are computer-accessible forms for the graph C4[ 96, 34 ] = PL(PLR2'(3).

(I) Following is a form readable by MAGMA:

g:=Graph<96|{ {30, 31}, {44, 45}, {4, 6}, {81, 83}, {89, 90}, {19, 23}, {32, 36}, {51, 55}, {34, 39}, {40, 46}, {35, 36}, {3, 11}, {49, 57}, {7, 14}, {33, 40}, {52, 61}, {55, 62}, {66, 73}, {82, 89}, {81, 90}, {18, 30}, {71, 75}, {21, 24}, {48, 61}, {36, 42}, {49, 63}, {19, 28}, {21, 26}, {70, 86}, {32, 50}, {77, 95}, {38, 52}, {39, 51}, {5, 16}, {73, 92}, {8, 31}, {68, 83}, {13, 21}, {69, 93}, {35, 59}, {1, 27}, {79, 85}, {71, 93}, {37, 63}, {3, 24}, {32, 59}, {66, 95}, {7, 25}, {79, 81}, {64, 94}, {40, 54}, {11, 20}, {68, 91}, {41, 54}, {14, 44}, {18, 49}, {21, 54}, {15, 43}, {17, 53}, {11, 45}, {28, 59}, {29, 58}, {5, 45}, {17, 57}, {2, 43}, {12, 38}, {74, 96}, {27, 49}, {1, 42}, {17, 58}, {4, 47}, {25, 53}, {12, 33}, {1, 47}, {10, 37}, {24, 40}, {9, 56}, {10, 59}, {14, 60}, {29, 47}, {15, 60}, {22, 37}, {7, 50}, {9, 63}, {18, 37}, {87, 96}, {25, 46}, {2, 58}, {30, 38}, {4, 61}, {25, 32}, {15, 53}, {2, 57}, {16, 44}, {13, 48}, {2, 60}, {26, 36}, {4, 58}, {16, 80}, {20, 85}, {29, 92}, {23, 86}, {24, 91}, {20, 80}, {31, 91}, {16, 85}, {1, 71}, {28, 84}, {5, 76}, {10, 67}, {28, 86}, {8, 68}, {13, 65}, {9, 68}, {26, 84}, {6, 73}, {17, 94}, {8, 88}, {13, 93}, {11, 91}, {8, 89}, {15, 94}, {5, 87}, {20, 70}, {18, 64}, {12, 94}, {6, 82}, {22, 67}, {27, 78}, {27, 67}, {3, 89}, {22, 76}, {3, 88}, {26, 65}, {23, 76}, {19, 72}, {6, 90}, {22, 74}, {9, 85}, {7, 90}, {23, 74}, {10, 84}, {19, 77}, {14, 81}, {31, 64}, {29, 66}, {33, 65}, {54, 86}, {33, 64}, {41, 72}, {42, 75}, {47, 78}, {62, 92}, {51, 80}, {41, 77}, {34, 69}, {43, 76}, {48, 88}, {34, 72}, {53, 95}, {45, 70}, {12, 96}, {63, 83}, {35, 79}, {52, 88}, {39, 74}, {60, 82}, {62, 80}, {41, 70}, {46, 65}, {35, 83}, {39, 87}, {50, 66}, {46, 95}, {52, 69}, {56, 75}, {61, 73}, {51, 69}, {56, 78}, {62, 72}, {48, 71}, {56, 79}, {55, 78}, {57, 67}, {38, 93}, {43, 87}, {55, 75}, {30, 96}, {34, 92}, {42, 84}, {44, 82}, {50, 77} }>;

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

a: (1, 3, 76)(2, 4, 82)(5, 27, 88)(6, 60, 58)(7, 53, 66)(8, 87, 78)(9, 30, 51)(10, 13, 70)(11, 22, 71)(12, 62, 83)(14, 17, 73)(15, 29, 90)(16, 49, 52)(18, 69, 85)(19, 36, 40)(20, 37, 93)(21, 86, 84)(23, 42, 24)(25, 95, 50)(26, 54, 28)(31, 39, 56)(32, 46, 77)(33, 72, 35)(34, 79, 64)(38, 80, 63)(41, 59, 65)(43, 47, 89)(44, 57, 61)(45, 67, 48)(55, 68, 96)(74, 75, 91)(81, 94, 92)
b: (3, 86)(4, 67)(5, 44)(6, 22)(7, 96)(8, 19)(9, 62)(10, 61)(11, 70)(12, 25)(13, 26)(14, 87)(18, 66)(23, 89)(24, 54)(27, 47)(28, 88)(29, 49)(30, 50)(31, 77)(32, 38)(33, 46)(34, 83)(35, 69)(36, 93)(37, 73)(39, 81)(41, 91)(42, 71)(43, 60)(48, 84)(51, 79)(52, 59)(53, 94)(55, 56)(57, 58)(63, 92)(64, 95)(68, 72)(74, 90)(76, 82)(80, 85)
c: (1, 36)(2, 14)(3, 12)(4, 25)(6, 53)(7, 58)(8, 64)(9, 37)(10, 56)(11, 96)(15, 82)(16, 76)(17, 90)(18, 68)(19, 62)(20, 74)(21, 93)(22, 85)(23, 80)(24, 38)(26, 71)(27, 35)(28, 55)(29, 50)(30, 91)(32, 47)(33, 88)(34, 41)(39, 70)(40, 52)(43, 44)(45, 87)(46, 61)(48, 65)(49, 83)(51, 86)(54, 69)(57, 81)(59, 78)(67, 79)(73, 95)(75, 84)(77, 92)(89, 94)
d: (1, 2)(3, 86)(4, 67)(5, 13)(6, 10)(7, 35)(8, 19)(9, 95)(11, 54)(12, 51)(14, 36)(15, 75)(16, 65)(17, 78)(18, 92)(20, 40)(21, 45)(22, 61)(23, 88)(24, 70)(25, 79)(26, 44)(27, 58)(28, 89)(29, 49)(30, 34)(31, 72)(32, 81)(33, 80)(37, 73)(38, 39)(41, 91)(42, 60)(43, 71)(46, 85)(47, 57)(48, 76)(50, 83)(52, 74)(53, 56)(55, 94)(59, 90)(62, 64)(63, 66)(68, 77)(69, 96)(82, 84)(87, 93)
e: (2, 21)(3, 76)(4, 84)(5, 11)(6, 28)(7, 77)(8, 74)(9, 51)(10, 61)(12, 64)(13, 57)(14, 41)(15, 40)(16, 20)(17, 65)(18, 38)(19, 90)(22, 88)(23, 89)(24, 43)(25, 95)(26, 58)(27, 71)(29, 36)(31, 96)(32, 66)(33, 94)(34, 83)(35, 92)(37, 52)(39, 68)(42, 47)(44, 70)(46, 53)(48, 67)(49, 93)(54, 60)(55, 56)(59, 73)(62, 79)(63, 69)(72, 81)(75, 78)(80, 85)(82, 86)(87, 91)

(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[ 96, 34 ]
96
-1 47 27 71 42
-2 57 58 60 43
-3 11 88 89 24
-4 47 58 6 61
-5 45 16 76 87
-6 90 4 82 73
-7 90 14 25 50
-8 88 89 68 31
-9 56 68 63 85
-10 67 37 59 84
-11 45 3 91 20
-12 33 38 94 96
-13 48 93 21 65
-14 44 81 60 7
-15 60 94 53 43
-16 44 80 5 85
-17 57 58 94 53
-18 37 49 30 64
-19 77 23 28 72
-20 11 80 70 85
-21 13 24 26 54
-22 67 37 74 76
-23 19 74 86 76
-24 3 91 40 21
-25 46 7 53 32
-26 36 84 21 65
-27 1 67 78 49
-28 59 84 19 86
-29 66 47 58 92
-30 38 18 96 31
-31 91 8 30 64
-32 25 36 59 50
-33 12 40 64 65
-34 69 92 39 72
-35 79 36 59 83
-36 35 26 42 32
-37 22 18 63 10
-38 12 93 30 52
-39 34 51 74 87
-40 33 24 46 54
-41 77 70 72 54
-42 1 36 84 75
-43 2 15 76 87
-44 45 14 16 82
-45 11 44 70 5
-46 25 40 95 65
-47 1 78 4 29
-48 88 13 71 61
-49 57 27 18 63
-50 66 77 7 32
-51 55 69 80 39
-52 88 69 38 61
-53 25 15 17 95
-54 40 41 86 21
-55 78 51 62 75
-56 78 79 9 75
-57 67 2 49 17
-58 2 4 17 29
-59 35 28 10 32
-60 2 14 15 82
-61 4 48 73 52
-62 55 80 92 72
-63 37 49 83 9
-64 33 94 18 31
-65 33 13 46 26
-66 50 29 73 95
-67 22 57 27 10
-68 91 83 8 9
-69 34 93 51 52
-70 45 41 20 86
-71 1 48 93 75
-72 34 62 19 41
-73 66 92 6 61
-74 22 23 39 96
-75 55 56 71 42
-76 22 23 5 43
-77 50 95 19 41
-78 55 56 47 27
-79 56 35 81 85
-80 16 51 62 20
-81 79 90 14 83
-82 44 89 60 6
-83 35 68 81 63
-84 26 28 42 10
-85 79 16 9 20
-86 23 70 28 54
-87 5 39 96 43
-88 3 48 8 52
-89 90 3 82 8
-90 89 81 6 7
-91 11 24 68 31
-92 34 29 62 73
-93 13 69 38 71
-94 12 15 17 64
-95 66 77 46 53
-96 12 30 74 87
0

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