C4graphGraph forms for C4 [ 208, 6 ] = {4,4}_<28,24>

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On this page are computer-accessible forms for the graph C4[ 208, 6 ] = {4,4}_<28,24>.

(I) Following is a form readable by MAGMA:

g:=Graph<208|{ {2, 3}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {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}, {158, 159}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {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}, {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}, {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}, {1, 2}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {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}, {3, 4}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {67, 68}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {7, 8}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {71, 72}, {55, 56}, {39, 40}, {23, 24}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {1, 53}, {67, 119}, {66, 118}, {65, 117}, {64, 116}, {2, 54}, {3, 55}, {8, 60}, {9, 61}, {10, 62}, {11, 63}, {72, 124}, {73, 125}, {74, 126}, {75, 127}, {128, 180}, {129, 181}, {130, 182}, {131, 183}, {136, 188}, {137, 189}, {138, 190}, {139, 191}, {1, 52}, {4, 56}, {71, 123}, {70, 122}, {69, 121}, {68, 120}, {5, 57}, {6, 58}, {7, 59}, {132, 184}, {133, 185}, {134, 186}, {135, 187}, {31, 32}, {159, 160}, {95, 96}, {12, 64}, {156, 208}, {143, 195}, {142, 194}, {63, 115}, {62, 114}, {61, 113}, {60, 112}, {47, 99}, {46, 98}, {45, 97}, {44, 96}, {13, 65}, {14, 66}, {15, 67}, {28, 80}, {29, 81}, {30, 82}, {31, 83}, {140, 192}, {141, 193}, {157, 208}, {16, 68}, {155, 207}, {154, 206}, {153, 205}, {152, 204}, {147, 199}, {146, 198}, {145, 197}, {144, 196}, {59, 111}, {58, 110}, {57, 109}, {56, 108}, {51, 103}, {50, 102}, {49, 101}, {48, 100}, {17, 69}, {18, 70}, {19, 71}, {24, 76}, {25, 77}, {26, 78}, {27, 79}, {20, 72}, {151, 203}, {150, 202}, {149, 201}, {148, 200}, {55, 107}, {54, 106}, {53, 105}, {52, 104}, {21, 73}, {22, 74}, {23, 75}, {53, 104}, {32, 84}, {43, 95}, {42, 94}, {41, 93}, {40, 92}, {33, 85}, {34, 86}, {35, 87}, {36, 88}, {39, 91}, {37, 89}, {38, 90}, {63, 64}, {191, 192}, {52, 160}, {1, 161}, {2, 162}, {3, 163}, {4, 164}, {5, 165}, {6, 166}, {7, 167}, {8, 168}, {9, 169}, {10, 170}, {11, 171}, {12, 172}, {13, 173}, {14, 174}, {15, 175}, {16, 176}, {17, 177}, {18, 178}, {19, 179}, {20, 180}, {21, 181}, {22, 182}, {23, 183}, {24, 184}, {25, 185}, {26, 186}, {27, 187}, {28, 188}, {29, 189}, {30, 190}, {31, 191}, {49, 157}, {51, 159}, {50, 158}, {76, 128}, {77, 129}, {78, 130}, {79, 131}, {92, 144}, {93, 145}, {94, 146}, {95, 147}, {108, 160}, {109, 161}, {110, 162}, {111, 163}, {124, 176}, {125, 177}, {126, 178}, {127, 179}, {80, 132}, {81, 133}, {82, 134}, {83, 135}, {88, 140}, {89, 141}, {90, 142}, {91, 143}, {112, 164}, {113, 165}, {114, 166}, {115, 167}, {120, 172}, {121, 173}, {122, 174}, {123, 175}, {84, 136}, {85, 137}, {86, 138}, {87, 139}, {116, 168}, {117, 169}, {118, 170}, {119, 171}, {32, 192}, {48, 208}, {47, 207}, {46, 206}, {45, 205}, {44, 204}, {43, 203}, {42, 202}, {41, 201}, {40, 200}, {39, 199}, {38, 198}, {33, 193}, {34, 194}, {35, 195}, {36, 196}, {37, 197}, {96, 148}, {97, 149}, {98, 150}, {99, 151}, {104, 156}, {105, 157}, {106, 158}, {107, 159}, {105, 156}, {100, 152}, {101, 153}, {102, 154}, {103, 155}, {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, 53)(3, 105)(4, 157)(5, 49)(6, 101)(7, 153)(8, 205)(9, 45)(10, 97)(11, 149)(12, 201)(13, 41)(14, 93)(15, 145)(16, 197)(17, 37)(18, 89)(19, 141)(20, 193)(21, 33)(22, 85)(23, 137)(24, 189)(25, 29)(26, 81)(27, 133)(28, 185)(30, 77)(31, 129)(32, 181)(34, 73)(35, 125)(36, 177)(38, 69)(39, 121)(40, 173)(42, 65)(43, 117)(44, 169)(46, 61)(47, 113)(48, 165)(50, 57)(51, 109)(52, 161)(55, 106)(56, 158)(58, 102)(59, 154)(60, 206)(62, 98)(63, 150)(64, 202)(66, 94)(67, 146)(68, 198)(70, 90)(71, 142)(72, 194)(74, 86)(75, 138)(76, 190)(78, 82)(79, 134)(80, 186)(83, 130)(84, 182)(87, 126)(88, 178)(91, 122)(92, 174)(95, 118)(96, 170)(99, 114)(100, 166)(103, 110)(104, 162)(108, 159)(111, 155)(112, 207)(115, 151)(116, 203)(119, 147)(120, 199)(123, 143)(124, 195)(127, 139)(128, 191)(131, 135)(132, 187)(136, 183)(140, 179)(144, 175)(148, 171)(152, 167)(156, 163)(164, 208)(168, 204)(172, 200)(176, 196)(180, 192)(184, 188)
b: (2, 161)(3, 109)(4, 57)(6, 165)(7, 113)(8, 61)(10, 169)(11, 117)(12, 65)(14, 173)(15, 121)(16, 69)(18, 177)(19, 125)(20, 73)(22, 181)(23, 129)(24, 77)(26, 185)(27, 133)(28, 81)(30, 189)(31, 137)(32, 85)(34, 193)(35, 141)(36, 89)(38, 197)(39, 145)(40, 93)(42, 201)(43, 149)(44, 97)(46, 205)(47, 153)(48, 101)(50, 157)(51, 105)(52, 53)(54, 160)(55, 108)(58, 164)(59, 112)(62, 168)(63, 116)(66, 172)(67, 120)(70, 176)(71, 124)(74, 180)(75, 128)(78, 184)(79, 132)(82, 188)(83, 136)(86, 192)(87, 140)(90, 196)(91, 144)(94, 200)(95, 148)(98, 204)(99, 152)(102, 208)(103, 156)(106, 159)(110, 163)(114, 167)(118, 171)(122, 175)(126, 179)(130, 183)(134, 187)(138, 191)(142, 195)(146, 199)(150, 203)(154, 207)
c: (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, 201, 202, 203, 204, 205, 206, 207, 208)

(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[ 208, 6 ]
208
-1 2 161 52 53
-2 1 3 162 54
-3 55 2 4 163
-4 56 3 5 164
-5 165 57 4 6
-6 166 58 5 7
-7 167 59 6 8
-8 168 60 7 9
-9 169 61 8 10
-10 11 170 62 9
-11 12 171 63 10
-12 11 13 172 64
-13 12 14 173 65
-14 66 13 15 174
-15 67 14 16 175
-16 176 68 15 17
-17 177 69 16 18
-18 178 70 17 19
-19 179 71 18 20
-20 180 72 19 21
-21 22 181 73 20
-22 23 182 74 21
-23 22 24 183 75
-24 23 25 184 76
-25 77 24 26 185
-26 78 25 27 186
-27 187 79 26 28
-28 188 80 27 29
-29 189 81 28 30
-30 190 82 29 31
-31 191 83 30 32
-32 33 192 84 31
-33 34 193 85 32
-34 33 35 194 86
-35 34 36 195 87
-36 88 35 37 196
-37 89 36 38 197
-38 198 90 37 39
-39 199 91 38 40
-40 200 92 39 41
-41 201 93 40 42
-42 202 94 41 43
-43 44 203 95 42
-44 45 204 96 43
-45 44 46 205 97
-46 45 47 206 98
-47 99 46 48 207
-48 100 47 49 208
-49 101 157 48 50
-50 102 158 49 51
-51 103 159 50 52
-52 1 104 160 51
-53 1 104 105 54
-54 55 2 106 53
-55 56 3 107 54
-56 55 57 4 108
-57 56 58 5 109
-58 110 57 59 6
-59 111 58 60 7
-60 112 59 61 8
-61 113 60 62 9
-62 114 61 63 10
-63 11 115 62 64
-64 12 116 63 65
-65 66 13 117 64
-66 67 14 118 65
-67 66 68 15 119
-68 67 69 16 120
-69 121 68 70 17
-70 122 69 71 18
-71 123 70 72 19
-72 124 71 73 20
-73 125 72 74 21
-74 22 126 73 75
-75 23 127 74 76
-76 77 24 128 75
-77 78 25 129 76
-78 77 79 26 130
-79 78 80 27 131
-80 132 79 81 28
-81 133 80 82 29
-82 134 81 83 30
-83 135 82 84 31
-84 136 83 85 32
-85 33 137 84 86
-86 34 138 85 87
-87 88 35 139 86
-88 89 36 140 87
-89 88 90 37 141
-90 89 91 38 142
-91 143 90 92 39
-92 144 91 93 40
-93 145 92 94 41
-94 146 93 95 42
-95 147 94 96 43
-96 44 148 95 97
-97 45 149 96 98
-98 99 46 150 97
-99 100 47 151 98
-100 99 101 48 152
-101 100 102 49 153
-102 154 101 103 50
-103 155 102 104 51
-104 156 103 52 53
-105 156 157 106 53
-106 158 105 107 54
-107 55 159 106 108
-108 56 160 107 109
-109 110 57 161 108
-110 111 58 162 109
-111 110 112 59 163
-112 111 113 60 164
-113 165 112 114 61
-114 166 113 115 62
-115 167 114 116 63
-116 168 115 117 64
-117 169 116 118 65
-118 66 170 117 119
-119 67 171 118 120
-120 121 68 172 119
-121 122 69 173 120
-122 121 123 70 174
-123 122 124 71 175
-124 176 123 125 72
-125 177 124 126 73
-126 178 125 127 74
-127 179 126 128 75
-128 180 127 129 76
-129 77 181 128 130
-130 78 182 129 131
-131 132 79 183 130
-132 133 80 184 131
-133 132 134 81 185
-134 133 135 82 186
-135 187 134 136 83
-136 188 135 137 84
-137 189 136 138 85
-138 190 137 139 86
-139 191 138 140 87
-140 88 192 139 141
-141 89 193 140 142
-142 143 90 194 141
-143 144 91 195 142
-144 143 145 92 196
-145 144 146 93 197
-146 198 145 147 94
-147 199 146 148 95
-148 200 147 149 96
-149 201 148 150 97
-150 202 149 151 98
-151 99 203 150 152
-152 100 204 151 153
-153 154 101 205 152
-154 155 102 206 153
-155 154 156 103 207
-156 155 104 105 208
-157 158 49 105 208
-158 157 159 50 106
-159 158 160 51 107
-160 159 161 52 108
-161 1 160 162 109
-162 110 2 161 163
-163 111 3 162 164
-164 165 112 4 163
-165 166 113 5 164
-166 165 167 114 6
-167 166 168 115 7
-168 167 169 116 8
-169 168 170 117 9
-170 169 171 118 10
-171 11 170 172 119
-172 12 171 173 120
-173 121 13 172 174
-174 122 14 173 175
-175 176 123 15 174
-176 177 124 16 175
-177 176 178 125 17
-178 177 179 126 18
-179 178 180 127 19
-180 179 181 128 20
-181 180 182 129 21
-182 22 181 183 130
-183 23 182 184 131
-184 132 24 183 185
-185 133 25 184 186
-186 187 134 26 185
-187 188 135 27 186
-188 187 189 136 28
-189 188 190 137 29
-190 189 191 138 30
-191 190 192 139 31
-192 191 193 140 32
-193 33 192 194 141
-194 34 193 195 142
-195 143 35 194 196
-196 144 36 195 197
-197 198 145 37 196
-198 199 146 38 197
-199 198 200 147 39
-200 199 201 148 40
-201 200 202 149 41
-202 201 203 150 42
-203 202 204 151 43
-204 44 203 205 152
-205 45 204 206 153
-206 154 46 205 207
-207 155 47 206 208
-208 156 157 48 207
0

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