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On this page are computer-accessible forms for the graph C4[ 144, 13 ] = PS(6,48;17).

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {48, 57}, {96, 105}, {33, 49}, {96, 112}, {34, 50}, {35, 51}, {36, 52}, {37, 53}, {38, 54}, {39, 55}, {40, 56}, {41, 57}, {42, 58}, {43, 59}, {44, 60}, {45, 61}, {46, 62}, {47, 63}, {8, 31}, {104, 127}, {72, 95}, {47, 56}, {64, 87}, {1, 25}, {103, 127}, {102, 126}, {101, 125}, {100, 124}, {99, 123}, {98, 122}, {97, 121}, {71, 95}, {70, 94}, {69, 93}, {68, 92}, {67, 91}, {66, 90}, {7, 31}, {6, 30}, {5, 29}, {4, 28}, {3, 27}, {2, 26}, {64, 88}, {65, 89}, {3, 26}, {103, 126}, {101, 124}, {99, 122}, {71, 94}, {69, 92}, {67, 90}, {7, 30}, {5, 28}, {40, 49}, {42, 51}, {44, 53}, {46, 55}, {65, 88}, {2, 25}, {102, 125}, {98, 121}, {70, 93}, {6, 29}, {41, 50}, {45, 54}, {66, 89}, {4, 27}, {100, 123}, {68, 91}, {43, 52}, {26, 59}, {86, 119}, {84, 117}, {82, 115}, {80, 113}, {78, 111}, {76, 109}, {74, 107}, {30, 63}, {28, 61}, {25, 58}, {85, 118}, {81, 114}, {77, 110}, {73, 106}, {29, 62}, {27, 60}, {83, 116}, {75, 108}, {8, 32}, {80, 120}, {72, 96}, {24, 48}, {15, 39}, {14, 38}, {13, 37}, {12, 36}, {11, 35}, {10, 34}, {9, 33}, {9, 32}, {15, 38}, {13, 36}, {11, 34}, {10, 33}, {14, 37}, {12, 35}, {87, 120}, {81, 97}, {95, 111}, {94, 110}, {93, 109}, {92, 108}, {91, 107}, {90, 106}, {89, 105}, {88, 104}, {87, 103}, {86, 102}, {85, 101}, {84, 100}, {83, 99}, {82, 98}, {1, 48}, {16, 39}, {95, 104}, {24, 47}, {16, 40}, {79, 119}, {78, 118}, {77, 117}, {76, 116}, {75, 115}, {74, 114}, {73, 113}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {17, 40}, {94, 103}, {92, 101}, {90, 99}, {88, 97}, {23, 46}, {21, 44}, {19, 42}, {18, 41}, {93, 102}, {89, 98}, {22, 45}, {20, 43}, {91, 100}, {79, 112}, {49, 96}, {25, 65}, {31, 71}, {30, 70}, {29, 69}, {28, 68}, {27, 67}, {26, 66}, {31, 64}, {32, 65}, {34, 67}, {36, 69}, {38, 71}, {33, 66}, {37, 70}, {35, 68}, {17, 121}, {23, 127}, {22, 126}, {21, 125}, {20, 124}, {19, 123}, {18, 122}, {32, 72}, {56, 80}, {57, 81}, {58, 82}, {59, 83}, {60, 84}, {61, 85}, {62, 86}, {63, 87}, {57, 80}, {59, 82}, {61, 84}, {63, 86}, {58, 81}, {62, 85}, {16, 127}, {39, 72}, {60, 83}, {48, 64}, {11, 122}, {15, 126}, {13, 124}, {10, 121}, {14, 125}, {12, 123}, {56, 79}, {49, 73}, {50, 74}, {51, 75}, {52, 76}, {53, 77}, {54, 78}, {55, 79}, {51, 74}, {53, 76}, {55, 78}, {50, 73}, {54, 77}, {52, 75}, {1, 129}, {16, 144}, {15, 143}, {14, 142}, {13, 141}, {12, 140}, {11, 139}, {10, 138}, {9, 137}, {8, 136}, {7, 135}, {6, 134}, {5, 133}, {4, 132}, {3, 131}, {2, 130}, {8, 143}, {1, 136}, {7, 142}, {5, 140}, {3, 138}, {2, 137}, {6, 141}, {4, 139}, {17, 128}, {23, 134}, {21, 132}, {19, 130}, {18, 129}, {22, 133}, {20, 131}, {24, 128}, {9, 144}, {24, 135}, {104, 128}, {120, 144}, {111, 135}, {110, 134}, {109, 133}, {108, 132}, {107, 131}, {106, 130}, {105, 129}, {105, 128}, {111, 134}, {109, 132}, {107, 130}, {106, 129}, {110, 133}, {108, 131}, {97, 144}, {112, 135}, {120, 143}, {112, 136}, {119, 143}, {118, 142}, {117, 141}, {116, 140}, {115, 139}, {114, 138}, {113, 137}, {113, 136}, {119, 142}, {117, 140}, {115, 138}, {114, 137}, {118, 141}, {116, 139} }>;

(II) A more general form is to represent the graph as the orbit of {48, 57} under the group generated by the following permutations:

a: (2, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12, 14)(25, 48)(26, 47)(27, 46)(28, 45)(29, 44)(30, 43)(31, 42)(32, 41)(33, 40)(34, 39)(35, 38)(36, 37)(50, 72)(51, 71)(52, 70)(53, 69)(54, 68)(55, 67)(56, 66)(57, 65)(58, 64)(59, 63)(60, 62)(73, 96)(74, 95)(75, 94)(76, 93)(77, 92)(78, 91)(79, 90)(80, 89)(81, 88)(82, 87)(83, 86)(84, 85)(98, 120)(99, 119)(100, 118)(101, 117)(102, 116)(103, 115)(104, 114)(105, 113)(106, 112)(107, 111)(108, 110)(121, 144)(122, 143)(123, 142)(124, 141)(125, 140)(126, 139)(127, 138)(128, 137)(129, 136)(130, 135)(131, 134)(132, 133)
b: (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, 96)(97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120)(121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144)
c: (1, 25, 2, 26, 3, 27, 4, 28, 5, 29, 6, 30, 7, 31, 8, 32, 9, 33, 10, 34, 11, 35, 12, 36, 13, 37, 14, 38, 15, 39, 16, 40, 17, 41, 18, 42, 19, 43, 20, 44, 21, 45, 22, 46, 23, 47, 24, 48)(49, 121, 50, 122, 51, 123, 52, 124, 53, 125, 54, 126, 55, 127, 56, 128, 57, 129, 58, 130, 59, 131, 60, 132, 61, 133, 62, 134, 63, 135, 64, 136, 65, 137, 66, 138, 67, 139, 68, 140, 69, 141, 70, 142, 71, 143, 72, 144)(73, 98, 74, 99, 75, 100, 76, 101, 77, 102, 78, 103, 79, 104, 80, 105, 81, 106, 82, 107, 83, 108, 84, 109, 85, 110, 86, 111, 87, 112, 88, 113, 89, 114, 90, 115, 91, 116, 92, 117, 93, 118, 94, 119, 95, 120, 96, 97)
d: (2, 112, 18, 64)(3, 55, 11, 103)(4, 22)(5, 109, 21, 61)(6, 52, 14, 100)(7, 19)(8, 106, 24, 58)(9, 49, 17, 97)(10, 16)(12, 70, 20, 118)(15, 67, 23, 115)(25, 136, 129, 48)(26, 79, 122, 87)(27, 46, 139, 126)(28, 133, 132, 45)(29, 76, 125, 84)(30, 43, 142, 123)(31, 130, 135, 42)(32, 73, 128, 81)(33, 40, 121, 144)(34, 127, 138, 39)(35, 94, 131, 78)(36, 37, 124, 141)(38, 91, 134, 75)(41, 88, 137, 96)(44, 85, 140, 93)(47, 82, 143, 90)(50, 104, 114, 72)(51, 71, 107, 111)(53, 101, 117, 69)(54, 68, 110, 108)(56, 98, 120, 66)(57, 65, 113, 105)(59, 119, 99, 63)(60, 62, 116, 102)(74, 95)(77, 92)(80, 89)(83, 86)

(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[ 144, 13 ]
144
-1 25 48 136 129
-2 25 26 137 130
-3 26 27 138 131
-4 132 27 28 139
-5 133 28 29 140
-6 134 29 30 141
-7 135 30 31 142
-8 143 136 31 32
-9 33 144 137 32
-10 33 121 34 138
-11 34 122 35 139
-12 35 123 36 140
-13 36 124 37 141
-14 37 125 38 142
-15 143 38 126 39
-16 144 39 127 40
-17 121 40 128 41
-18 122 41 129 42
-19 123 42 130 43
-20 44 124 43 131
-21 44 132 45 125
-22 45 133 46 126
-23 46 134 47 127
-24 47 135 48 128
-25 1 2 58 65
-26 66 2 3 59
-27 67 3 4 60
-28 68 4 5 61
-29 69 5 6 62
-30 70 6 7 63
-31 71 7 8 64
-32 72 8 9 65
-33 66 49 9 10
-34 11 67 50 10
-35 11 12 68 51
-36 12 13 69 52
-37 13 14 70 53
-38 14 15 71 54
-39 55 15 16 72
-40 56 16 49 17
-41 57 17 50 18
-42 58 18 51 19
-43 59 19 52 20
-44 60 20 53 21
-45 22 61 21 54
-46 22 55 23 62
-47 23 56 24 63
-48 1 24 57 64
-49 33 40 73 96
-50 34 73 41 74
-51 35 74 42 75
-52 36 75 43 76
-53 44 77 37 76
-54 77 45 78 38
-55 78 46 79 39
-56 79 47 80 40
-57 80 48 81 41
-58 25 81 82 42
-59 26 82 83 43
-60 44 27 83 84
-61 45 28 84 85
-62 46 29 85 86
-63 47 30 86 87
-64 88 48 31 87
-65 88 89 25 32
-66 33 89 90 26
-67 34 90 91 27
-68 35 91 92 28
-69 36 92 93 29
-70 37 93 94 30
-71 38 94 95 31
-72 39 95 96 32
-73 113 49 50 106
-74 114 50 51 107
-75 115 51 52 108
-76 116 52 53 109
-77 110 117 53 54
-78 55 111 118 54
-79 55 56 112 119
-80 56 57 113 120
-81 57 58 114 97
-82 58 59 115 98
-83 99 59 60 116
-84 100 60 61 117
-85 101 61 62 118
-86 102 62 63 119
-87 103 63 64 120
-88 104 64 97 65
-89 66 105 65 98
-90 66 99 67 106
-91 67 100 68 107
-92 68 101 69 108
-93 69 102 70 109
-94 110 70 103 71
-95 111 71 104 72
-96 112 49 72 105
-97 88 121 144 81
-98 121 89 122 82
-99 122 90 123 83
-100 123 91 124 84
-101 124 92 125 85
-102 125 93 126 86
-103 126 94 127 87
-104 88 127 95 128
-105 89 128 96 129
-106 90 73 129 130
-107 91 74 130 131
-108 132 92 75 131
-109 132 133 93 76
-110 77 133 134 94
-111 78 134 135 95
-112 79 135 136 96
-113 80 136 137 73
-114 81 137 138 74
-115 82 138 139 75
-116 83 139 140 76
-117 77 84 140 141
-118 78 85 141 142
-119 143 79 86 142
-120 143 144 80 87
-121 17 97 10 98
-122 11 99 18 98
-123 99 12 100 19
-124 100 13 101 20
-125 101 14 102 21
-126 22 102 15 103
-127 23 103 16 104
-128 24 104 17 105
-129 1 105 18 106
-130 2 106 19 107
-131 3 107 20 108
-132 4 108 21 109
-133 22 110 5 109
-134 110 23 111 6
-135 111 24 112 7
-136 1 112 113 8
-137 2 113 114 9
-138 3 114 115 10
-139 11 4 115 116
-140 12 5 116 117
-141 13 6 117 118
-142 14 7 118 119
-143 15 8 119 120
-144 16 9 97 120
0

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