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On this page are computer-accessible forms for the graph C4[ 137, 1 ] = C_137(1,37).

(I) Following is a form readable by MAGMA:

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

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

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