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On this page are computer-accessible forms for the graph C4[ 160, 82 ] = SS[160,28].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

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

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