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On this page are computer-accessible forms for the graph C4[ 136, 13 ] = PL(Br(4,17;4)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 113} under the group generated by the following permutations:

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

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

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