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On this page are computer-accessible forms for the graph C4[ 161, 1 ] = C_161(1,22).

(I) Following is a form readable by MAGMA:

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

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

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