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On this page are computer-accessible forms for the graph C4[ 200, 19 ] = MSZ(40,5,11,2).

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

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

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