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On this page are computer-accessible forms for the graph C4[ 160, 79 ] = SS[160,22].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {112, 113} under the group generated by the following permutations:

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

(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.

**************

&Graph
C4[ 160, 79 ]
160
-1 2 3 4 5
-2 154 1 149 160
-3 1 156 159 150
-4 1 155 157 152
-5 1 158 151 153
-6 88 14 72 76
-7 77 89 14 74
-8 78 91 15 75
-9 79 90 15 73
-10 78 16 74 87
-11 17 73 85 76
-12 77 17 84 75
-13 79 16 72 86
-14 6 50 7 51
-15 48 49 8 9
-16 13 52 10 54
-17 11 55 12 53
-18 55 41 52 43
-19 40 42 53 54
-20 45 47 49 51
-21 44 46 48 50
-22 34 35 38 39
-23 33 36 37 32
-24 59 93 96 87
-25 57 92 84 97
-26 99 56 92 85
-27 58 93 86 98
-28 102 104 94 62
-29 100 61 95 106
-30 103 60 94 105
-31 101 95 63 107
-32 88 23 69 97
-33 99 23 89 68
-34 22 91 71 98
-35 22 90 70 96
-36 23 101 104 65
-37 23 100 105 64
-38 22 67 103 106
-39 22 66 102 107
-40 56 67 81 19
-41 66 57 81 18
-42 58 80 19 65
-43 80 59 18 64
-44 56 83 63 21
-45 57 61 83 20
-46 58 60 82 21
-47 59 82 62 20
-48 66 69 15 21
-49 67 68 15 20
-50 14 70 64 21
-51 14 71 20 65
-52 68 16 18 63
-53 70 17 62 19
-54 69 16 61 19
-55 60 71 17 18
-56 44 133 26 40
-57 45 134 25 41
-58 46 135 27 42
-59 24 47 136 43
-60 55 46 148 30
-61 45 146 29 54
-62 47 147 28 53
-63 44 145 52 31
-64 37 50 43 142
-65 143 36 51 42
-66 48 39 41 141
-67 144 38 49 40
-68 33 49 137 52
-69 48 140 32 54
-70 35 50 139 53
-71 55 34 138 51
-72 13 6 127 129
-73 11 126 9 130
-74 132 7 128 10
-75 12 125 8 131
-76 11 121 6 119
-77 12 124 7 120
-78 122 8 118 10
-79 13 123 117 9
-80 132 129 42 43
-81 40 41 130 131
-82 46 47 125 126
-83 44 45 127 128
-84 12 25 137 129
-85 11 132 26 140
-86 13 27 139 131
-87 24 138 130 10
-88 133 125 6 32
-89 33 134 126 7
-90 35 135 128 9
-91 34 136 127 8
-92 143 25 26 142
-93 144 24 27 141
-94 133 134 28 30
-95 135 136 29 31
-96 24 35 124 114
-97 122 25 116 32
-98 121 34 113 27
-99 33 123 26 115
-100 37 147 29 141
-101 144 36 148 31
-102 146 28 39 142
-103 143 145 38 30
-104 36 114 28 119
-105 113 37 30 120
-106 38 116 29 117
-107 115 39 118 31
-108 117 118 119 120
-109 147 137 148 140
-110 145 146 138 139
-111 121 122 123 124
-112 113 114 115 116
-113 112 157 105 98
-114 112 158 104 96
-115 99 112 160 107
-116 112 159 106 97
-117 79 149 106 108
-118 78 150 107 108
-119 104 108 152 76
-120 77 105 151 108
-121 111 76 98 153
-122 154 78 111 97
-123 99 111 79 156
-124 77 111 155 96
-125 88 158 82 75
-126 89 157 82 73
-127 91 72 83 160
-128 90 159 83 74
-129 80 157 72 84
-130 81 160 73 87
-131 81 159 75 86
-132 80 158 74 85
-133 88 56 94 149
-134 89 57 94 150
-135 90 58 95 152
-136 91 59 95 151
-137 68 149 84 109
-138 110 71 152 87
-139 110 70 151 86
-140 69 150 85 109
-141 66 100 156 93
-142 102 92 64 153
-143 155 92 103 65
-144 154 67 101 93
-145 110 156 103 63
-146 110 154 102 61
-147 100 155 62 109
-148 101 60 109 153
-149 133 2 137 117
-150 134 3 118 140
-151 136 5 139 120
-152 135 4 138 119
-153 121 5 148 142
-154 122 144 2 146
-155 143 124 4 147
-156 123 145 3 141
-157 113 4 126 129
-158 132 114 125 5
-159 3 116 128 131
-160 2 115 127 130
0

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