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On this page are computer-accessible forms for the graph C4[ 144, 52 ] = XI(Cmap(72,1){4,8|6}_8).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {71, 86} under the group generated by the following permutations:

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

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