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On this page are computer-accessible forms for the graph C4[ 200, 18 ] = MSZ(40,5,9,2).

(I) Following is a form readable by MAGMA:

g:=Graph<200|{ {2, 3}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {86, 87}, {84, 85}, {82, 83}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {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}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {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}, {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}, {162, 163}, {164, 165}, {166, 167}, {168, 169}, {170, 171}, {1, 2}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {3, 4}, {195, 196}, {187, 188}, {179, 180}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {32, 41}, {80, 89}, {36, 45}, {112, 121}, {116, 125}, {160, 169}, {7, 8}, {199, 200}, {183, 184}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {40, 49}, {76, 85}, {72, 81}, {15, 16}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {11, 42}, {79, 110}, {75, 106}, {71, 102}, {67, 98}, {15, 46}, {19, 50}, {23, 54}, {27, 58}, {31, 62}, {91, 122}, {95, 126}, {131, 162}, {135, 166}, {139, 170}, {143, 174}, {147, 178}, {151, 182}, {155, 186}, {159, 190}, {1, 40}, {81, 120}, {4, 53}, {68, 117}, {64, 113}, {8, 57}, {12, 61}, {128, 177}, {132, 181}, {136, 185}, {140, 189}, {73, 122}, {77, 126}, {152, 161}, {156, 165}, {31, 32}, {95, 96}, {159, 160}, {16, 87}, {56, 127}, {24, 95}, {32, 103}, {40, 111}, {3, 74}, {7, 78}, {20, 91}, {52, 123}, {36, 107}, {16, 65}, {60, 109}, {56, 105}, {52, 101}, {20, 69}, {24, 73}, {28, 77}, {48, 97}, {144, 193}, {148, 197}, {43, 114}, {47, 118}, {1, 90}, {5, 94}, {12, 83}, {35, 124}, {35, 66}, {63, 94}, {59, 90}, {55, 86}, {51, 82}, {39, 70}, {161, 200}, {9, 98}, {13, 102}, {25, 114}, {29, 118}, {44, 93}, {10, 121}, {14, 125}, {33, 82}, {37, 86}, {4, 115}, {41, 80}, {17, 106}, {21, 110}, {8, 119}, {191, 192}, {63, 64}, {28, 99}, {34, 163}, {38, 167}, {3, 132}, {67, 196}, {59, 188}, {51, 180}, {11, 140}, {19, 148}, {27, 156}, {43, 172}, {7, 136}, {71, 200}, {55, 184}, {23, 152}, {18, 129}, {62, 173}, {58, 169}, {54, 165}, {50, 161}, {22, 133}, {26, 137}, {30, 141}, {84, 195}, {33, 184}, {37, 188}, {2, 153}, {6, 157}, {15, 144}, {47, 176}, {88, 199}, {39, 128}, {2, 171}, {6, 175}, {13, 164}, {18, 187}, {22, 191}, {25, 176}, {29, 180}, {41, 130}, {61, 150}, {57, 146}, {45, 134}, {105, 194}, {109, 198}, {48, 159}, {34, 145}, {38, 149}, {44, 155}, {10, 179}, {14, 183}, {17, 168}, {21, 172}, {123, 194}, {127, 198}, {49, 138}, {53, 142}, {31, 160}, {60, 131}, {1, 192}, {5, 196}, {9, 200}, {64, 135}, {80, 151}, {72, 143}, {96, 167}, {104, 175}, {112, 183}, {120, 191}, {83, 154}, {87, 158}, {68, 139}, {100, 171}, {116, 187}, {84, 133}, {88, 137}, {92, 141}, {124, 173}, {113, 162}, {117, 166}, {26, 195}, {30, 199}, {121, 160}, {65, 154}, {69, 158}, {97, 186}, {101, 190}, {76, 147}, {108, 179}, {99, 130}, {103, 134}, {107, 138}, {111, 142}, {115, 146}, {119, 150}, {79, 168}, {42, 193}, {46, 197}, {89, 178}, {93, 182}, {75, 164}, {96, 145}, {100, 149}, {104, 153}, {108, 157}, {66, 177}, {78, 189}, {74, 185}, {70, 181}, {120, 129}, {81, 170}, {85, 174}, {63, 192}, {92, 163}, {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, 82, 163, 124, 45, 86, 167, 128, 49, 90, 171, 132, 53, 94, 175, 136, 57, 98, 179, 140, 61, 102, 183, 144, 65, 106, 187, 148, 69, 110, 191, 152, 73, 114, 195, 156, 77, 118, 199, 160)(42, 83, 164, 125, 46, 87, 168, 129, 50, 91, 172, 133, 54, 95, 176, 137, 58, 99, 180, 141, 62, 103, 184, 145, 66, 107, 188, 149, 70, 111, 192, 153, 74, 115, 196, 157, 78, 119, 200, 121)(43, 84, 165, 126, 47, 88, 169, 130, 51, 92, 173, 134, 55, 96, 177, 138, 59, 100, 181, 142, 63, 104, 185, 146, 67, 108, 189, 150, 71, 112, 193, 154, 75, 116, 197, 158, 79, 120, 161, 122)(44, 85, 166, 127, 48, 89, 170, 131, 52, 93, 174, 135, 56, 97, 178, 139, 60, 101, 182, 143, 64, 105, 186, 147, 68, 109, 190, 151, 72, 113, 194, 155, 76, 117, 198, 159, 80, 81, 162, 123)
b: (2, 90)(3, 59)(4, 188)(5, 37)(6, 86)(7, 55)(8, 184)(9, 33)(10, 82)(11, 51)(12, 180)(13, 29)(14, 118)(15, 47)(16, 176)(17, 25)(18, 114)(19, 43)(20, 172)(22, 110)(23, 79)(24, 168)(26, 106)(27, 75)(28, 164)(30, 102)(31, 71)(32, 200)(34, 98)(35, 67)(36, 196)(38, 94)(39, 63)(40, 192)(41, 161)(42, 50)(44, 148)(45, 197)(48, 144)(49, 193)(52, 140)(53, 189)(54, 78)(56, 136)(57, 185)(58, 74)(60, 132)(61, 181)(62, 70)(64, 128)(65, 177)(68, 124)(69, 173)(72, 160)(73, 169)(76, 156)(77, 165)(80, 152)(81, 121)(83, 179)(84, 108)(85, 157)(87, 175)(88, 104)(89, 153)(91, 171)(92, 100)(93, 149)(95, 167)(97, 145)(99, 163)(101, 141)(103, 199)(105, 137)(107, 195)(109, 133)(111, 191)(112, 120)(113, 129)(115, 187)(117, 125)(119, 183)(122, 170)(123, 139)(126, 166)(127, 135)(130, 162)(134, 198)(138, 194)(142, 190)(143, 159)(146, 186)(147, 155)(150, 182)(154, 178)(158, 174)

(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[ 200, 18 ]
200
-1 2 90 192 40
-2 1 3 171 153
-3 132 2 4 74
-4 3 5 115 53
-5 4 6 94 196
-6 157 5 7 175
-7 78 136 6 8
-8 57 7 9 119
-9 200 8 10 98
-10 11 121 179 9
-11 12 140 42 10
-12 11 13 61 83
-13 12 14 102 164
-14 13 15 125 183
-15 144 46 14 16
-16 15 17 65 87
-17 168 16 18 106
-18 187 17 19 129
-19 148 50 18 20
-20 69 91 19 21
-21 22 110 172 20
-22 23 133 191 21
-23 22 24 152 54
-24 23 25 73 95
-25 176 24 26 114
-26 25 27 137 195
-27 156 58 26 28
-28 77 99 27 29
-29 180 28 30 118
-30 199 29 31 141
-31 160 62 30 32
-32 33 103 41 31
-33 34 82 184 32
-34 33 35 145 163
-35 66 34 36 124
-36 45 35 37 107
-37 188 36 38 86
-38 167 37 39 149
-39 70 38 40 128
-40 1 111 49 39
-41 80 42 130 32
-42 11 193 41 43
-43 44 114 172 42
-44 45 155 93 43
-45 44 46 134 36
-46 45 47 15 197
-47 176 46 48 118
-48 47 49 159 97
-49 48 50 138 40
-50 49 51 161 19
-51 180 82 50 52
-52 101 123 51 53
-53 4 52 54 142
-54 55 165 23 53
-55 56 184 86 54
-56 55 57 105 127
-57 56 58 146 8
-58 57 59 169 27
-59 188 90 58 60
-60 59 61 109 131
-61 12 60 62 150
-62 61 63 173 31
-63 192 94 62 64
-64 113 135 63 65
-65 66 154 16 64
-66 67 177 35 65
-67 66 68 196 98
-68 67 69 117 139
-69 68 70 158 20
-70 69 71 181 39
-71 200 102 70 72
-72 143 81 71 73
-73 122 24 72 74
-74 3 73 75 185
-75 106 74 76 164
-76 77 147 85 75
-77 78 126 28 76
-78 77 79 189 7
-79 110 78 80 168
-80 89 79 41 151
-81 82 170 72 120
-82 33 81 83 51
-83 154 12 82 84
-84 133 83 85 195
-85 84 86 174 76
-86 55 37 85 87
-87 88 158 16 86
-88 89 199 137 87
-89 88 90 178 80
-90 1 89 91 59
-91 122 90 92 20
-92 91 93 141 163
-93 44 92 94 182
-94 5 93 95 63
-95 24 126 94 96
-96 145 167 95 97
-97 48 96 98 186
-98 99 67 9 97
-99 100 28 130 98
-100 99 101 149 171
-101 100 102 190 52
-102 13 101 103 71
-103 134 102 104 32
-104 103 105 153 175
-105 56 104 106 194
-106 17 105 107 75
-107 36 138 106 108
-108 157 179 107 109
-109 110 198 60 108
-110 111 79 21 109
-111 110 112 40 142
-112 121 111 113 183
-113 112 114 162 64
-114 25 113 115 43
-115 146 4 114 116
-116 187 125 115 117
-117 166 68 116 118
-118 47 29 117 119
-119 150 8 118 120
-120 81 191 129 119
-121 122 112 160 10
-122 121 123 91 73
-123 122 124 194 52
-124 35 123 125 173
-125 14 124 126 116
-126 77 125 127 95
-127 198 56 126 128
-128 177 39 127 129
-129 18 128 130 120
-130 99 41 129 131
-131 132 60 162 130
-132 133 3 181 131
-133 22 132 134 84
-134 45 133 135 103
-135 166 134 136 64
-136 135 137 7 185
-137 88 26 136 138
-138 49 137 139 107
-139 68 170 138 140
-140 11 189 139 141
-141 92 30 140 142
-142 143 111 53 141
-143 144 72 174 142
-144 143 145 15 193
-145 34 144 146 96
-146 57 145 147 115
-147 178 146 148 76
-148 147 149 19 197
-149 100 38 148 150
-150 61 149 151 119
-151 80 182 150 152
-152 23 161 151 153
-153 154 2 104 152
-154 155 83 65 153
-155 44 154 156 186
-156 165 155 157 27
-157 156 158 6 108
-158 69 157 159 87
-159 190 48 158 160
-160 121 169 159 31
-161 200 50 162 152
-162 113 161 163 131
-163 34 92 162 164
-164 165 13 75 163
-165 166 156 54 164
-166 165 167 135 117
-167 166 168 38 96
-168 79 167 169 17
-169 58 168 170 160
-170 81 169 171 139
-171 100 2 170 172
-172 171 173 21 43
-173 124 62 172 174
-174 143 85 173 175
-175 176 104 6 174
-176 177 25 47 175
-177 66 176 178 128
-178 89 177 179 147
-179 178 180 108 10
-180 179 181 29 51
-181 132 70 180 182
-182 93 181 183 151
-183 112 14 182 184
-184 33 55 183 185
-185 136 74 184 186
-186 187 155 97 185
-187 188 116 18 186
-188 187 189 37 59
-189 78 188 190 140
-190 101 189 191 159
-191 22 190 192 120
-192 1 191 193 63
-193 144 192 194 42
-194 123 105 193 195
-195 26 84 194 196
-196 67 5 195 197
-197 198 46 148 196
-198 199 127 109 197
-199 88 198 200 30
-200 199 71 161 9
0

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