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On this page are computer-accessible forms for the graph C4[ 200, 3 ] = C_200(1,51).

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

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

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