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On this page are computer-accessible forms for the graph C4[ 160, 30 ] = PL(MC3(4,20,1,9,3,10,1),[8^10,10^8]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {78, 95} under the group generated by the following permutations:

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

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

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