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On this page are computer-accessible forms for the graph C4[ 160, 38 ] = KE_40(1,19,12,23,9).

(I) Following is a form readable by MAGMA:

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

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

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

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