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On this page are computer-accessible forms for the graph C4[ 144, 8 ] = {4,4}_[18,4].

(I) Following is a form readable by MAGMA:

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

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

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

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