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On this page are computer-accessible forms for the graph C4[ 160, 35 ] = PL(LoPr_20(1,10,6,10,1),[4^20,20^4]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {79, 94} under the group generated by the following permutations:

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

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

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