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On this page are computer-accessible forms for the graph C4[ 144, 5 ] = {4,4}_12,0.

(I) Following is a form readable by MAGMA:

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

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