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On this page are computer-accessible forms for the graph C4[ 136, 3 ] = C_136(1,35).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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