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On this page are computer-accessible forms for the graph C4[ 160, 86 ] = SS[160,32].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 25} under the group generated by the following permutations:

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

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

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