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On this page are computer-accessible forms for the graph C4[ 160, 77 ] = SS[160,20].

(I) Following is a form readable by MAGMA:

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

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

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

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