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On this page are computer-accessible forms for the graph C4[ 173, 1 ] = C_173(1,80).

(I) Following is a form readable by MAGMA:

g:=Graph<173|{ {2, 3}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {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}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {52, 53}, {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}, {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}, {1, 2}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {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}, {3, 4}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {7, 8}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {103, 104}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {31, 32}, {159, 160}, {95, 96}, {1, 81}, {47, 127}, {46, 126}, {45, 125}, {44, 124}, {43, 123}, {42, 122}, {41, 121}, {40, 120}, {39, 119}, {38, 118}, {37, 117}, {36, 116}, {35, 115}, {34, 114}, {33, 113}, {32, 112}, {2, 82}, {3, 83}, {4, 84}, {5, 85}, {6, 86}, {7, 87}, {8, 88}, {9, 89}, {10, 90}, {11, 91}, {12, 92}, {13, 93}, {14, 94}, {15, 95}, {2, 95}, {34, 127}, {32, 125}, {1, 94}, {33, 126}, {3, 96}, {31, 124}, {7, 100}, {11, 104}, {15, 108}, {19, 112}, {23, 116}, {27, 120}, {4, 97}, {6, 99}, {12, 105}, {14, 107}, {20, 113}, {22, 115}, {28, 121}, {30, 123}, {5, 98}, {13, 106}, {21, 114}, {29, 122}, {8, 101}, {10, 103}, {24, 117}, {26, 119}, {9, 102}, {25, 118}, {16, 96}, {31, 111}, {17, 97}, {18, 98}, {19, 99}, {20, 100}, {21, 101}, {22, 102}, {23, 103}, {24, 104}, {25, 105}, {26, 106}, {27, 107}, {28, 108}, {29, 109}, {30, 110}, {16, 109}, {18, 111}, {17, 110}, {63, 64}, {35, 128}, {51, 144}, {47, 140}, {43, 136}, {39, 132}, {55, 148}, {59, 152}, {63, 156}, {36, 129}, {46, 139}, {44, 137}, {38, 131}, {52, 145}, {54, 147}, {60, 153}, {62, 155}, {37, 130}, {45, 138}, {53, 146}, {61, 154}, {1, 173}, {40, 133}, {42, 135}, {56, 149}, {58, 151}, {41, 134}, {57, 150}, {48, 128}, {52, 132}, {51, 131}, {50, 130}, {49, 129}, {53, 133}, {54, 134}, {55, 135}, {56, 136}, {57, 137}, {58, 138}, {59, 139}, {60, 140}, {61, 141}, {62, 142}, {63, 143}, {48, 141}, {50, 143}, {49, 142}, {64, 144}, {65, 145}, {66, 146}, {67, 147}, {68, 148}, {69, 149}, {70, 150}, {71, 151}, {72, 152}, {73, 153}, {74, 154}, {75, 155}, {76, 156}, {77, 157}, {78, 158}, {79, 159}, {64, 157}, {66, 159}, {65, 158}, {67, 160}, {71, 164}, {75, 168}, {79, 172}, {68, 161}, {70, 163}, {76, 169}, {78, 171}, {69, 162}, {77, 170}, {72, 165}, {74, 167}, {73, 166}, {80, 160}, {93, 173}, {81, 161}, {82, 162}, {83, 163}, {84, 164}, {85, 165}, {86, 166}, {87, 167}, {88, 168}, {89, 169}, {90, 170}, {91, 171}, {92, 172}, {80, 173}, {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, 81, 173, 94)(3, 161, 172, 14)(4, 68, 171, 107)(5, 148, 170, 27)(6, 55, 169, 120)(7, 135, 168, 40)(8, 42, 167, 133)(9, 122, 166, 53)(10, 29, 165, 146)(11, 109, 164, 66)(12, 16, 163, 159)(13, 96, 162, 79)(15, 83, 160, 92)(17, 70, 158, 105)(18, 150, 157, 25)(19, 57, 156, 118)(20, 137, 155, 38)(21, 44, 154, 131)(22, 124, 153, 51)(23, 31, 152, 144)(24, 111, 151, 64)(26, 98, 149, 77)(28, 85, 147, 90)(30, 72, 145, 103)(32, 59, 143, 116)(33, 139, 142, 36)(34, 46, 141, 129)(35, 126, 140, 49)(37, 113, 138, 62)(39, 100, 136, 75)(41, 87, 134, 88)(43, 74, 132, 101)(45, 61, 130, 114)(47, 48, 128, 127)(50, 115, 125, 60)(52, 102, 123, 73)(54, 89, 121, 86)(56, 76, 119, 99)(58, 63, 117, 112)(65, 104, 110, 71)(67, 91, 108, 84)(69, 78, 106, 97)(80, 93, 95, 82)
b: (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, 169, 170, 171, 172, 173)

(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[ 173, 1 ]
173
-1 2 81 94 173
-2 1 3 82 95
-3 2 4 83 96
-4 3 5 84 97
-5 4 6 85 98
-6 99 5 7 86
-7 100 6 8 87
-8 88 101 7 9
-9 89 102 8 10
-10 11 90 103 9
-11 12 91 104 10
-12 11 13 92 105
-13 12 14 93 106
-14 13 15 94 107
-15 14 16 95 108
-16 15 17 96 109
-17 110 16 18 97
-18 111 17 19 98
-19 99 112 18 20
-20 100 113 19 21
-21 22 101 114 20
-22 23 102 115 21
-23 22 24 103 116
-24 23 25 104 117
-25 24 26 105 118
-26 25 27 106 119
-27 26 28 107 120
-28 121 27 29 108
-29 122 28 30 109
-30 110 123 29 31
-31 111 124 30 32
-32 33 112 125 31
-33 34 113 126 32
-34 33 35 114 127
-35 34 36 115 128
-36 35 37 116 129
-37 36 38 117 130
-38 37 39 118 131
-39 132 38 40 119
-40 133 39 41 120
-41 121 134 40 42
-42 122 135 41 43
-43 44 123 136 42
-44 45 124 137 43
-45 44 46 125 138
-46 45 47 126 139
-47 46 48 127 140
-48 47 49 128 141
-49 48 50 129 142
-50 143 49 51 130
-51 144 50 52 131
-52 132 145 51 53
-53 133 146 52 54
-54 55 134 147 53
-55 56 135 148 54
-56 55 57 136 149
-57 56 58 137 150
-58 57 59 138 151
-59 58 60 139 152
-60 59 61 140 153
-61 154 60 62 141
-62 155 61 63 142
-63 143 156 62 64
-64 144 157 63 65
-65 66 145 158 64
-66 67 146 159 65
-67 66 68 147 160
-68 67 69 148 161
-69 68 70 149 162
-70 69 71 150 163
-71 70 72 151 164
-72 165 71 73 152
-73 166 72 74 153
-74 154 167 73 75
-75 155 168 74 76
-76 77 156 169 75
-77 78 157 170 76
-78 77 79 158 171
-79 78 80 159 172
-80 79 81 160 173
-81 1 80 82 161
-82 2 81 83 162
-83 3 82 84 163
-84 4 83 85 164
-85 165 5 84 86
-86 166 6 85 87
-87 88 167 7 86
-88 89 168 8 87
-89 88 90 169 9
-90 89 91 170 10
-91 11 90 92 171
-92 12 91 93 172
-93 13 92 94 173
-94 1 14 93 95
-95 2 15 94 96
-96 3 16 95 97
-97 4 17 96 98
-98 99 5 18 97
-99 100 6 19 98
-100 99 101 7 20
-101 100 102 8 21
-102 22 101 103 9
-103 23 102 104 10
-104 11 24 103 105
-105 12 25 104 106
-106 13 26 105 107
-107 14 27 106 108
-108 15 28 107 109
-109 110 16 29 108
-110 111 17 30 109
-111 110 112 18 31
-112 111 113 19 32
-113 33 112 114 20
-114 34 113 115 21
-115 22 35 114 116
-116 23 36 115 117
-117 24 37 116 118
-118 25 38 117 119
-119 26 39 118 120
-120 121 27 40 119
-121 122 28 41 120
-122 121 123 29 42
-123 122 124 30 43
-124 44 123 125 31
-125 45 124 126 32
-126 33 46 125 127
-127 34 47 126 128
-128 35 48 127 129
-129 36 49 128 130
-130 37 50 129 131
-131 132 38 51 130
-132 133 39 52 131
-133 132 134 40 53
-134 133 135 41 54
-135 55 134 136 42
-136 56 135 137 43
-137 44 57 136 138
-138 45 58 137 139
-139 46 59 138 140
-140 47 60 139 141
-141 48 61 140 142
-142 143 49 62 141
-143 144 50 63 142
-144 143 145 51 64
-145 144 146 52 65
-146 66 145 147 53
-147 67 146 148 54
-148 55 68 147 149
-149 56 69 148 150
-150 57 70 149 151
-151 58 71 150 152
-152 59 72 151 153
-153 154 60 73 152
-154 155 61 74 153
-155 154 156 62 75
-156 155 157 63 76
-157 77 156 158 64
-158 78 157 159 65
-159 66 79 158 160
-160 67 80 159 161
-161 68 81 160 162
-162 69 82 161 163
-163 70 83 162 164
-164 165 71 84 163
-165 166 72 85 164
-166 165 167 73 86
-167 166 168 74 87
-168 88 167 169 75
-169 89 168 170 76
-170 77 90 169 171
-171 78 91 170 172
-172 79 92 171 173
-173 1 80 93 172
0

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