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On this page are computer-accessible forms for the graph C4[ 156, 13 ] = PL(Br(6,13;5)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {67, 79} under the group generated by the following permutations:

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

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

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