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On this page are computer-accessible forms for the graph C4[ 168, 26 ] = Pr_56(1,5,9,13).

(I) Following is a form readable by MAGMA:

g:=Graph<168|{ {2, 3}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {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}, {54, 55}, {1, 2}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {3, 4}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {112, 121}, {114, 127}, {146, 159}, {144, 157}, {130, 143}, {128, 141}, {7, 8}, {145, 158}, {129, 142}, {113, 126}, {39, 40}, {23, 24}, {55, 56}, {131, 144}, {143, 156}, {139, 152}, {135, 148}, {132, 145}, {142, 155}, {140, 153}, {134, 147}, {111, 120}, {141, 154}, {133, 146}, {104, 113}, {106, 115}, {108, 117}, {110, 119}, {105, 114}, {109, 118}, {136, 149}, {138, 151}, {15, 16}, {137, 150}, {47, 48}, {107, 116}, {8, 59}, {155, 168}, {151, 164}, {147, 160}, {12, 63}, {9, 60}, {150, 163}, {148, 161}, {11, 62}, {10, 61}, {149, 162}, {1, 57}, {2, 58}, {3, 59}, {4, 60}, {5, 61}, {6, 62}, {7, 63}, {64, 120}, {65, 121}, {66, 122}, {67, 123}, {68, 124}, {69, 125}, {70, 126}, {71, 127}, {1, 56}, {7, 58}, {154, 167}, {152, 165}, {6, 57}, {153, 166}, {31, 32}, {58, 123}, {60, 125}, {62, 127}, {57, 122}, {61, 126}, {59, 124}, {8, 64}, {47, 103}, {46, 102}, {45, 101}, {44, 100}, {43, 99}, {42, 98}, {41, 97}, {40, 96}, {9, 65}, {10, 66}, {11, 67}, {12, 68}, {13, 69}, {14, 70}, {15, 71}, {24, 80}, {25, 81}, {26, 82}, {27, 83}, {28, 84}, {29, 85}, {30, 86}, {31, 87}, {56, 112}, {57, 113}, {58, 114}, {59, 115}, {60, 116}, {61, 117}, {62, 118}, {63, 119}, {13, 64}, {47, 98}, {45, 96}, {15, 66}, {29, 80}, {31, 82}, {14, 65}, {46, 97}, {30, 81}, {16, 67}, {52, 103}, {48, 99}, {20, 71}, {24, 75}, {28, 79}, {56, 107}, {17, 68}, {51, 102}, {49, 100}, {19, 70}, {25, 76}, {27, 78}, {18, 69}, {50, 101}, {26, 77}, {16, 72}, {53, 109}, {52, 108}, {51, 107}, {50, 106}, {49, 105}, {48, 104}, {17, 73}, {18, 74}, {19, 75}, {20, 76}, {21, 77}, {22, 78}, {23, 79}, {54, 110}, {55, 111}, {21, 72}, {53, 104}, {23, 74}, {55, 106}, {22, 73}, {54, 105}, {4, 111}, {1, 108}, {3, 110}, {2, 109}, {32, 83}, {44, 95}, {40, 91}, {36, 87}, {5, 112}, {43, 94}, {41, 92}, {35, 86}, {33, 84}, {34, 85}, {42, 93}, {32, 88}, {39, 95}, {38, 94}, {37, 93}, {36, 92}, {35, 91}, {34, 90}, {33, 89}, {37, 88}, {39, 90}, {38, 89}, {63, 128}, {64, 129}, {66, 131}, {68, 133}, {70, 135}, {72, 137}, {74, 139}, {76, 141}, {78, 143}, {80, 145}, {82, 147}, {84, 149}, {86, 151}, {88, 153}, {90, 155}, {92, 157}, {94, 159}, {96, 161}, {98, 163}, {100, 165}, {102, 167}, {65, 130}, {69, 134}, {73, 138}, {77, 142}, {81, 146}, {85, 150}, {89, 154}, {93, 158}, {97, 162}, {101, 166}, {67, 132}, {75, 140}, {83, 148}, {91, 156}, {99, 164}, {72, 128}, {111, 167}, {110, 166}, {73, 129}, {74, 130}, {75, 131}, {76, 132}, {77, 133}, {78, 134}, {79, 135}, {88, 144}, {89, 145}, {90, 146}, {91, 147}, {92, 148}, {93, 149}, {94, 150}, {95, 151}, {104, 160}, {105, 161}, {106, 162}, {107, 163}, {108, 164}, {109, 165}, {71, 136}, {87, 152}, {103, 168}, {117, 160}, {125, 168}, {119, 162}, {118, 161}, {80, 136}, {112, 168}, {81, 137}, {82, 138}, {83, 139}, {84, 140}, {85, 141}, {86, 142}, {87, 143}, {120, 163}, {124, 167}, {121, 164}, {123, 166}, {79, 144}, {122, 165}, {116, 159}, {113, 156}, {115, 158}, {114, 157}, {115, 128}, {127, 140}, {123, 136}, {119, 132}, {116, 129}, {126, 139}, {124, 137}, {118, 131}, {117, 130}, {125, 138}, {96, 152}, {97, 153}, {98, 154}, {99, 155}, {100, 156}, {101, 157}, {102, 158}, {103, 159}, {120, 133}, {122, 135}, {95, 160}, {121, 134} }>;

(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, 56)(3, 55)(4, 54)(5, 53)(6, 52)(7, 51)(8, 50)(9, 49)(10, 48)(11, 47)(12, 46)(13, 45)(14, 44)(15, 43)(16, 42)(17, 41)(18, 40)(19, 39)(20, 38)(21, 37)(22, 36)(23, 35)(24, 34)(25, 33)(26, 32)(27, 31)(28, 30)(57, 108)(58, 107)(59, 106)(60, 105)(61, 104)(62, 103)(63, 102)(64, 101)(65, 100)(66, 99)(67, 98)(68, 97)(69, 96)(70, 95)(71, 94)(72, 93)(73, 92)(74, 91)(75, 90)(76, 89)(77, 88)(78, 87)(79, 86)(80, 85)(81, 84)(82, 83)(109, 112)(110, 111)(113, 117)(114, 116)(118, 168)(119, 167)(120, 166)(121, 165)(122, 164)(123, 163)(124, 162)(125, 161)(126, 160)(127, 159)(128, 158)(129, 157)(130, 156)(131, 155)(132, 154)(133, 153)(134, 152)(135, 151)(136, 150)(137, 149)(138, 148)(139, 147)(140, 146)(141, 145)(142, 144)
b: (2, 108)(3, 117)(4, 61)(6, 112)(7, 121)(8, 65)(10, 60)(11, 125)(12, 69)(14, 64)(15, 129)(16, 73)(18, 68)(19, 133)(20, 77)(22, 72)(23, 137)(24, 81)(26, 76)(27, 141)(28, 85)(30, 80)(31, 145)(32, 89)(34, 84)(35, 149)(36, 93)(38, 88)(39, 153)(40, 97)(42, 92)(43, 157)(44, 101)(46, 96)(47, 161)(48, 105)(50, 100)(51, 165)(52, 109)(54, 104)(55, 113)(56, 57)(58, 164)(59, 130)(62, 168)(63, 134)(66, 116)(67, 138)(70, 120)(71, 142)(74, 124)(75, 146)(78, 128)(79, 150)(82, 132)(83, 154)(86, 136)(87, 158)(90, 140)(91, 162)(94, 144)(95, 166)(98, 148)(99, 114)(102, 152)(103, 118)(106, 156)(107, 122)(110, 160)(111, 126)(115, 143)(119, 147)(123, 151)(127, 155)(131, 159)(135, 163)(139, 167)
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, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168)

(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[ 168, 26 ]
168
-1 56 2 57 108
-2 1 3 58 109
-3 110 2 4 59
-4 111 3 5 60
-5 112 4 6 61
-6 57 5 7 62
-7 58 6 8 63
-8 59 7 9 64
-9 60 8 10 65
-10 11 66 61 9
-11 12 67 62 10
-12 11 13 68 63
-13 12 14 69 64
-14 13 15 70 65
-15 66 14 16 71
-16 67 15 17 72
-17 68 16 18 73
-18 69 17 19 74
-19 70 18 20 75
-20 71 19 21 76
-21 22 77 72 20
-22 23 78 73 21
-23 22 24 79 74
-24 23 25 80 75
-25 24 26 81 76
-26 77 25 27 82
-27 78 26 28 83
-28 79 27 29 84
-29 80 28 30 85
-30 81 29 31 86
-31 82 30 32 87
-32 33 88 83 31
-33 34 89 84 32
-34 33 35 90 85
-35 34 36 91 86
-36 35 37 92 87
-37 88 36 38 93
-38 89 37 39 94
-39 90 38 40 95
-40 91 39 41 96
-41 92 40 42 97
-42 93 41 43 98
-43 44 99 94 42
-44 45 100 95 43
-45 44 46 101 96
-46 45 47 102 97
-47 46 48 103 98
-48 99 47 49 104
-49 100 48 50 105
-50 101 49 51 106
-51 102 50 52 107
-52 103 51 53 108
-53 104 52 54 109
-54 55 110 105 53
-55 56 111 106 54
-56 55 1 112 107
-57 1 122 113 6
-58 2 123 114 7
-59 3 124 115 8
-60 4 125 116 9
-61 5 126 117 10
-62 11 6 127 118
-63 12 7 128 119
-64 13 8 129 120
-65 121 14 9 130
-66 122 15 10 131
-67 11 132 123 16
-68 12 133 124 17
-69 13 134 125 18
-70 14 135 126 19
-71 15 136 127 20
-72 16 137 128 21
-73 22 17 138 129
-74 23 18 139 130
-75 24 19 140 131
-76 132 25 20 141
-77 133 26 21 142
-78 22 143 134 27
-79 23 144 135 28
-80 24 145 136 29
-81 25 146 137 30
-82 26 147 138 31
-83 27 148 139 32
-84 33 28 149 140
-85 34 29 150 141
-86 35 30 151 142
-87 143 36 31 152
-88 144 37 32 153
-89 33 154 145 38
-90 34 155 146 39
-91 35 156 147 40
-92 36 157 148 41
-93 37 158 149 42
-94 38 159 150 43
-95 44 39 160 151
-96 45 40 161 152
-97 46 41 162 153
-98 154 47 42 163
-99 155 48 43 164
-100 44 165 156 49
-101 45 166 157 50
-102 46 167 158 51
-103 47 168 159 52
-104 113 48 160 53
-105 114 49 161 54
-106 55 115 50 162
-107 56 116 51 163
-108 1 117 52 164
-109 165 2 118 53
-110 166 3 119 54
-111 55 167 4 120
-112 121 56 168 5
-113 57 156 104 126
-114 58 157 105 127
-115 59 158 106 128
-116 60 159 107 129
-117 61 160 108 130
-118 62 161 109 131
-119 110 132 63 162
-120 111 133 64 163
-121 112 134 65 164
-122 66 165 57 135
-123 67 166 58 136
-124 68 167 59 137
-125 69 168 60 138
-126 113 70 61 139
-127 114 71 62 140
-128 115 72 63 141
-129 116 73 64 142
-130 143 117 74 65
-131 66 144 118 75
-132 67 145 119 76
-133 77 68 146 120
-134 121 78 69 147
-135 122 79 70 148
-136 123 80 71 149
-137 124 81 72 150
-138 125 82 73 151
-139 126 83 74 152
-140 127 84 75 153
-141 154 128 85 76
-142 77 155 129 86
-143 78 156 130 87
-144 88 79 157 131
-145 132 89 80 158
-146 133 90 81 159
-147 134 91 82 160
-148 135 92 83 161
-149 136 93 84 162
-150 137 94 85 163
-151 138 95 86 164
-152 165 139 96 87
-153 88 166 140 97
-154 89 167 141 98
-155 99 90 168 142
-156 143 100 91 113
-157 144 101 92 114
-158 145 102 93 115
-159 146 103 94 116
-160 147 104 95 117
-161 148 105 96 118
-162 149 106 97 119
-163 150 107 98 120
-164 99 121 151 108
-165 100 122 152 109
-166 110 101 123 153
-167 154 111 102 124
-168 155 112 103 125
0

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