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On this page are computer-accessible forms for the graph C4[ 160, 24 ] = PL(MSY(4,20,11,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 89} under the group generated by the following permutations:

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

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

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

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