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On this page are computer-accessible forms for the graph C4[ 200, 17 ] = MSZ(20,10,9,3).

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

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

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