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On this page are computer-accessible forms for the graph C4[ 153, 2 ] = DW(51,3).

(I) Following is a form readable by MAGMA:

g:=Graph<153|{ {102, 103}, {51, 52}, {4, 54}, {5, 55}, {8, 58}, {9, 59}, {12, 62}, {13, 63}, {64, 114}, {65, 115}, {68, 118}, {69, 119}, {72, 122}, {73, 123}, {76, 126}, {77, 127}, {1, 53}, {2, 54}, {3, 55}, {8, 60}, {9, 61}, {10, 62}, {11, 63}, {64, 116}, {65, 117}, {66, 118}, {67, 119}, {72, 124}, {73, 125}, {74, 126}, {75, 127}, {2, 52}, {3, 53}, {10, 60}, {11, 61}, {66, 116}, {67, 117}, {74, 124}, {75, 125}, {4, 56}, {5, 57}, {6, 58}, {7, 59}, {68, 120}, {69, 121}, {70, 122}, {71, 123}, {6, 56}, {7, 57}, {70, 120}, {71, 121}, {12, 64}, {31, 83}, {30, 82}, {29, 81}, {28, 80}, {13, 65}, {14, 66}, {15, 67}, {44, 96}, {45, 97}, {46, 98}, {47, 99}, {60, 112}, {61, 113}, {62, 114}, {63, 115}, {14, 64}, {31, 81}, {30, 80}, {15, 65}, {46, 96}, {47, 97}, {62, 112}, {63, 113}, {16, 66}, {29, 79}, {28, 78}, {17, 67}, {20, 70}, {21, 71}, {24, 74}, {25, 75}, {48, 98}, {49, 99}, {53, 103}, {56, 106}, {57, 107}, {60, 110}, {61, 111}, {16, 68}, {27, 79}, {26, 78}, {25, 77}, {17, 69}, {18, 70}, {19, 71}, {24, 76}, {48, 100}, {49, 101}, {50, 102}, {51, 103}, {56, 108}, {57, 109}, {58, 110}, {59, 111}, {18, 68}, {27, 77}, {26, 76}, {19, 69}, {50, 100}, {51, 101}, {58, 108}, {59, 109}, {20, 72}, {21, 73}, {22, 74}, {23, 75}, {52, 104}, {53, 105}, {54, 106}, {55, 107}, {22, 72}, {23, 73}, {54, 104}, {55, 105}, {2, 103}, {26, 127}, {8, 109}, {10, 111}, {16, 117}, {18, 119}, {24, 125}, {1, 102}, {25, 126}, {8, 111}, {9, 110}, {16, 119}, {17, 118}, {24, 127}, {1, 104}, {3, 106}, {5, 108}, {7, 110}, {17, 120}, {19, 122}, {21, 124}, {23, 126}, {2, 105}, {3, 104}, {6, 109}, {7, 108}, {18, 121}, {19, 120}, {22, 125}, {23, 124}, {4, 105}, {6, 107}, {20, 121}, {22, 123}, {4, 107}, {5, 106}, {20, 123}, {21, 122}, {32, 82}, {41, 91}, {40, 90}, {37, 87}, {36, 86}, {33, 83}, {44, 94}, {45, 95}, {32, 84}, {43, 95}, {42, 94}, {41, 93}, {40, 92}, {35, 87}, {34, 86}, {33, 85}, {34, 84}, {43, 93}, {42, 92}, {35, 85}, {9, 112}, {11, 114}, {13, 116}, {15, 118}, {10, 113}, {11, 112}, {14, 117}, {15, 116}, {36, 88}, {39, 91}, {38, 90}, {37, 89}, {12, 113}, {14, 115}, {38, 88}, {39, 89}, {12, 115}, {13, 114}, {1, 153}, {25, 128}, {31, 134}, {29, 132}, {27, 130}, {26, 129}, {31, 132}, {30, 133}, {27, 128}, {28, 129}, {30, 131}, {28, 131}, {29, 130}, {32, 133}, {42, 143}, {40, 141}, {34, 135}, {48, 149}, {50, 151}, {32, 135}, {41, 142}, {40, 143}, {33, 134}, {48, 151}, {49, 150}, {33, 136}, {39, 142}, {37, 140}, {35, 138}, {49, 152}, {34, 137}, {39, 140}, {38, 141}, {35, 136}, {50, 153}, {51, 152}, {36, 137}, {38, 139}, {52, 153}, {36, 139}, {37, 138}, {41, 144}, {43, 146}, {45, 148}, {47, 150}, {42, 145}, {43, 144}, {46, 149}, {47, 148}, {44, 145}, {46, 147}, {44, 147}, {45, 146}, {76, 128}, {95, 147}, {94, 146}, {93, 145}, {92, 144}, {77, 129}, {78, 130}, {79, 131}, {78, 128}, {95, 145}, {94, 144}, {79, 129}, {80, 130}, {93, 143}, {92, 142}, {81, 131}, {84, 134}, {85, 135}, {88, 138}, {89, 139}, {80, 132}, {91, 143}, {90, 142}, {81, 133}, {82, 134}, {83, 135}, {88, 140}, {89, 141}, {82, 132}, {91, 141}, {90, 140}, {83, 133}, {84, 136}, {85, 137}, {86, 138}, {87, 139}, {86, 136}, {87, 137}, {96, 146}, {101, 151}, {100, 150}, {97, 147}, {96, 148}, {99, 151}, {98, 150}, {97, 149}, {98, 148}, {99, 149}, {100, 152}, {101, 153}, {102, 152} }>;

(II) A more general form is to represent the graph as the orbit of {102, 103} under the group generated by the following permutations:

a: (2, 51)(3, 50)(4, 49)(5, 48)(6, 47)(7, 46)(8, 45)(9, 44)(10, 43)(11, 42)(12, 41)(13, 40)(14, 39)(15, 38)(16, 37)(17, 36)(18, 35)(19, 34)(20, 33)(21, 32)(22, 31)(23, 30)(24, 29)(25, 28)(26, 27)(53, 102)(54, 101)(55, 100)(56, 99)(57, 98)(58, 97)(59, 96)(60, 95)(61, 94)(62, 93)(63, 92)(64, 91)(65, 90)(66, 89)(67, 88)(68, 87)(69, 86)(70, 85)(71, 84)(72, 83)(73, 82)(74, 81)(75, 80)(76, 79)(77, 78)(104, 153)(105, 152)(106, 151)(107, 150)(108, 149)(109, 148)(110, 147)(111, 146)(112, 145)(113, 144)(114, 143)(115, 142)(116, 141)(117, 140)(118, 139)(119, 138)(120, 137)(121, 136)(122, 135)(123, 134)(124, 133)(125, 132)(126, 131)(127, 130)(128, 129)
b: (52, 103)(53, 104)(54, 105)(55, 106)(56, 107)(57, 108)(58, 109)(59, 110)(60, 111)(61, 112)(62, 113)(63, 114)(64, 115)(65, 116)(66, 117)(67, 118)(68, 119)(69, 120)(70, 121)(71, 122)(72, 123)(73, 124)(74, 125)(75, 126)(76, 127)(77, 128)(78, 129)(79, 130)(80, 131)(81, 132)(82, 133)(83, 134)(84, 135)(85, 136)(86, 137)(87, 138)(88, 139)(89, 140)(90, 141)(91, 142)(92, 143)(93, 144)(94, 145)(95, 146)(96, 147)(97, 148)(98, 149)(99, 150)(100, 151)(101, 152)(102, 153)
c: (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
d: (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, 145, 146, 147, 148, 149, 150, 151, 152, 153)

(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[ 153, 2 ]
153
-1 102 104 53 153
-2 103 105 52 54
-3 55 104 106 53
-4 56 105 107 54
-5 55 57 106 108
-6 56 58 107 109
-7 110 57 59 108
-8 111 58 60 109
-9 110 112 59 61
-10 111 113 60 62
-11 112 114 61 63
-12 113 115 62 64
-13 114 116 63 65
-14 66 115 117 64
-15 67 116 118 65
-16 66 68 117 119
-17 67 69 118 120
-18 121 68 70 119
-19 122 69 71 120
-20 121 123 70 72
-21 122 124 71 73
-22 123 125 72 74
-23 124 126 73 75
-24 125 127 74 76
-25 77 126 128 75
-26 78 127 129 76
-27 77 79 128 130
-28 78 80 129 131
-29 132 79 81 130
-30 133 80 82 131
-31 132 134 81 83
-32 133 135 82 84
-33 134 136 83 85
-34 135 137 84 86
-35 136 138 85 87
-36 88 137 139 86
-37 89 138 140 87
-38 88 90 139 141
-39 89 91 140 142
-40 143 90 92 141
-41 144 91 93 142
-42 143 145 92 94
-43 144 146 93 95
-44 145 147 94 96
-45 146 148 95 97
-46 147 149 96 98
-47 99 148 150 97
-48 100 149 151 98
-49 99 101 150 152
-50 100 102 151 153
-51 101 103 52 152
-52 2 104 51 153
-53 1 3 103 105
-54 2 4 104 106
-55 3 5 105 107
-56 4 6 106 108
-57 5 7 107 109
-58 110 6 8 108
-59 111 7 9 109
-60 110 112 8 10
-61 11 111 113 9
-62 12 112 114 10
-63 11 13 113 115
-64 12 14 114 116
-65 13 15 115 117
-66 14 16 116 118
-67 15 17 117 119
-68 16 18 118 120
-69 121 17 19 119
-70 122 18 20 120
-71 121 123 19 21
-72 22 122 124 20
-73 23 123 125 21
-74 22 24 124 126
-75 23 25 125 127
-76 24 26 126 128
-77 25 27 127 129
-78 26 28 128 130
-79 27 29 129 131
-80 132 28 30 130
-81 133 29 31 131
-82 132 134 30 32
-83 33 133 135 31
-84 34 134 136 32
-85 33 35 135 137
-86 34 36 136 138
-87 35 37 137 139
-88 36 38 138 140
-89 37 39 139 141
-90 38 40 140 142
-91 143 39 41 141
-92 144 40 42 142
-93 143 145 41 43
-94 44 144 146 42
-95 45 145 147 43
-96 44 46 146 148
-97 45 47 147 149
-98 46 48 148 150
-99 47 49 149 151
-100 48 50 150 152
-101 49 51 151 153
-102 1 103 50 152
-103 2 102 51 53
-104 1 3 52 54
-105 55 2 4 53
-106 56 3 5 54
-107 55 57 4 6
-108 56 58 5 7
-109 57 59 6 8
-110 58 60 7 9
-111 59 61 8 10
-112 11 60 62 9
-113 12 61 63 10
-114 11 13 62 64
-115 12 14 63 65
-116 66 13 15 64
-117 67 14 16 65
-118 66 68 15 17
-119 67 69 16 18
-120 68 70 17 19
-121 69 71 18 20
-122 70 72 19 21
-123 22 71 73 20
-124 23 72 74 21
-125 22 24 73 75
-126 23 25 74 76
-127 77 24 26 75
-128 78 25 27 76
-129 77 79 26 28
-130 78 80 27 29
-131 79 81 28 30
-132 80 82 29 31
-133 81 83 30 32
-134 33 82 84 31
-135 34 83 85 32
-136 33 35 84 86
-137 34 36 85 87
-138 88 35 37 86
-139 89 36 38 87
-140 88 90 37 39
-141 89 91 38 40
-142 90 92 39 41
-143 91 93 40 42
-144 92 94 41 43
-145 44 93 95 42
-146 45 94 96 43
-147 44 46 95 97
-148 45 47 96 98
-149 99 46 48 97
-150 100 47 49 98
-151 99 101 48 50
-152 100 102 49 51
-153 1 101 50 52
0

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