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On this page are computer-accessible forms for the graph C4[ 96, 57 ] = SS[96,22].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {60, 61} under the group generated by the following permutations:

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

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

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