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On this page are computer-accessible forms for the graph C4[ 160, 45 ] = PL(Br(16,5;2)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {72, 95} under the group generated by the following permutations:

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

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

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