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On this page are computer-accessible forms for the graph C4[ 160, 83 ] = SS[160,29].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {26, 27} under the group generated by the following permutations:

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

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

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