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On this page are computer-accessible forms for the graph C4[ 160, 25 ] = PL(MSY(4,20,11,10)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {71, 85} under the group generated by the following permutations:

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

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

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