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On this page are computer-accessible forms for the graph C4[ 96, 49 ] = PL(CS(R_6(5,4)[3^8],1)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {41, 57} under the group generated by the following permutations:

a: (5, 12, 7, 10)(6, 11, 8, 9)(13, 15)(14, 16)(17, 35, 18, 36)(19, 33, 20, 34)(21, 44, 22, 43)(23, 42, 24, 41)(25, 37, 28, 40)(26, 38, 27, 39)(29, 48, 32, 45)(30, 47, 31, 46)(49, 50)(51, 54)(52, 53)(55, 56)(57, 60)(58, 59)(61, 77, 64, 74)(62, 76, 65, 73)(63, 75, 66, 78)(67, 80, 70, 83)(68, 79, 71, 82)(69, 84, 72, 81)(85, 89)(86, 88)(91, 95)(92, 94)
b: (1, 5)(2, 6)(3, 7)(4, 8)(9, 14)(10, 13)(11, 16)(12, 15)(17, 25)(18, 26)(19, 27)(20, 28)(21, 30)(22, 29)(23, 32)(24, 31)(33, 35)(37, 39)(41, 43)(46, 48)(49, 61)(50, 62)(51, 63)(52, 64)(53, 65)(54, 66)(55, 67)(56, 68)(57, 69)(58, 70)(59, 71)(60, 72)(73, 85)(74, 86)(75, 87)(76, 88)(77, 89)(78, 90)(79, 94)(80, 95)(81, 96)(82, 91)(83, 92)(84, 93)
c: (13, 16)(14, 15)(25, 26)(27, 28)(37, 38)(39, 40)(85, 88)(86, 89)(87, 90)
d: (13, 14)(15, 16)(29, 30)(31, 32)(45, 46)(47, 48)(91, 94)(92, 95)(93, 96)
e: (1, 17)(2, 18)(3, 19)(4, 20)(5, 25)(6, 26)(7, 27)(8, 28)(9, 22)(10, 21)(11, 24)(12, 23)(13, 30)(14, 29)(15, 32)(16, 31)(33, 35)(34, 36)(37, 43)(38, 44)(39, 41)(40, 42)(49, 51)(52, 54)(55, 75)(56, 74)(57, 73)(58, 78)(59, 77)(60, 76)(61, 63)(64, 66)(67, 87)(68, 86)(69, 85)(70, 90)(71, 89)(72, 88)(79, 84)(80, 83)(81, 82)(91, 96)(92, 95)(93, 94)
f: (5, 8)(6, 7)(13, 16)(14, 15)(25, 27)(26, 28)(33, 34)(35, 36)(37, 38)(39, 40)(61, 64)(62, 65)(63, 66)(85, 88)(86, 89)(87, 90)
g: (2, 4)(5, 7)(9, 11)(13, 15)(17, 24)(18, 23)(19, 22)(20, 21)(25, 29)(26, 30)(27, 31)(28, 32)(33, 44)(34, 43)(35, 42)(36, 41)(37, 45)(38, 46)(39, 47)(40, 48)(49, 58)(50, 59)(51, 60)(52, 55)(53, 56)(54, 57)(61, 67)(62, 68)(63, 69)(64, 70)(65, 71)(66, 72)(73, 79)(74, 80)(75, 81)(76, 82)(77, 83)(78, 84)(85, 91)(86, 92)(87, 93)(88, 94)(89, 95)(90, 96)
h: (1, 2)(3, 4)(21, 24)(22, 23)(41, 44)(42, 43)(55, 58)(56, 59)(57, 60)
m: (5, 6)(7, 8)(29, 32)(30, 31)(41, 42)(43, 44)(67, 70)(68, 71)(69, 72)
n1: (9, 10)(11, 12)(13, 14)(15, 16)(21, 22)(23, 24)(29, 30)(31, 32)(45, 47)(46, 48)(79, 82)(80, 83)(81, 84)(91, 94)(92, 95)(93, 96)
a1: (9, 12)(10, 11)(17, 18)(19, 20)(37, 40)(38, 39)(73, 76)(74, 77)(75, 78)

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

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