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On this page are computer-accessible forms for the graph C4[ 216, 65 ] = UG(ATD[216,130]).

(I) Following is a form readable by MAGMA:

g:=Graph<216|{ {1, 2}, {32, 35}, {1, 5}, {210, 214}, {66, 70}, {3, 7}, {2, 6}, {33, 36}, {176, 181}, {169, 172}, {64, 69}, {112, 117}, {136, 142}, {34, 37}, {208, 216}, {194, 203}, {4, 14}, {5, 15}, {196, 207}, {4, 8}, {179, 191}, {114, 126}, {84, 89}, {2, 12}, {66, 76}, {3, 13}, {193, 206}, {45, 61}, {171, 187}, {143, 159}, {73, 89}, {72, 88}, {71, 86}, {97, 115}, {198, 212}, {197, 215}, {165, 182}, {10, 30}, {174, 186}, {173, 185}, {161, 181}, {11, 31}, {8, 29}, {192, 213}, {6, 16}, {163, 181}, {7, 17}, {38, 49}, {42, 61}, {200, 208}, {8, 18}, {9, 19}, {7, 28}, {67, 88}, {111, 116}, {6, 27}, {110, 115}, {10, 20}, {143, 145}, {11, 21}, {99, 125}, {136, 150}, {5, 26}, {46, 49}, {15, 16}, {9, 22}, {132, 164}, {75, 106}, {82, 112}, {28, 63}, {158, 189}, {156, 191}, {128, 163}, {79, 107}, {129, 165}, {25, 60}, {72, 109}, {27, 62}, {90, 127}, {17, 55}, {26, 61}, {145, 182}, {77, 106}, {24, 48}, {151, 191}, {91, 114}, {153, 176}, {18, 56}, {19, 57}, {80, 122}, {81, 123}, {131, 169}, {128, 171}, {12, 32}, {14, 34}, {13, 33}, {9, 39}, {151, 185}, {21, 59}, {20, 58}, {82, 124}, {83, 125}, {133, 170}, {93, 109}, {144, 160}, {139, 187}, {138, 186}, {137, 185}, {69, 116}, {129, 176}, {135, 181}, {16, 35}, {139, 184}, {70, 117}, {20, 39}, {91, 104}, {130, 177}, {24, 44}, {25, 45}, {84, 96}, {17, 36}, {147, 166}, {19, 38}, {90, 111}, {134, 179}, {78, 120}, {79, 121}, {18, 37}, {68, 115}, {133, 178}, {22, 46}, {23, 47}, {13, 52}, {141, 180}, {15, 54}, {16, 42}, {77, 119}, {76, 118}, {14, 53}, {68, 127}, {23, 43}, {155, 167}, {80, 108}, {21, 40}, {138, 183}, {67, 126}, {81, 111}, {12, 51}, {145, 174}, {137, 182}, {22, 41}, {26, 90}, {31, 95}, {30, 94}, {29, 93}, {28, 92}, {27, 91}, {33, 96}, {34, 97}, {38, 98}, {56, 124}, {45, 105}, {44, 104}, {39, 99}, {128, 196}, {129, 197}, {130, 198}, {131, 199}, {141, 203}, {144, 215}, {149, 210}, {9, 65}, {152, 208}, {3, 74}, {152, 209}, {142, 199}, {57, 112}, {14, 71}, {58, 113}, {154, 209}, {147, 216}, {59, 112}, {40, 100}, {159, 211}, {158, 210}, {43, 103}, {42, 102}, {41, 101}, {132, 200}, {133, 201}, {134, 202}, {60, 114}, {43, 123}, {148, 196}, {52, 101}, {146, 195}, {157, 200}, {3, 85}, {157, 203}, {56, 111}, {63, 103}, {51, 106}, {150, 207}, {55, 110}, {53, 108}, {150, 204}, {151, 205}, {54, 109}, {156, 199}, {149, 206}, {23, 75}, {154, 198}, {29, 64}, {31, 66}, {146, 204}, {147, 205}, {30, 65}, {52, 107}, {35, 67}, {184, 216}, {183, 215}, {37, 69}, {36, 68}, {24, 121}, {160, 193}, {50, 83}, {48, 81}, {47, 78}, {42, 72}, {167, 197}, {46, 76}, {43, 73}, {8, 107}, {49, 82}, {23, 114}, {175, 202}, {173, 200}, {50, 87}, {48, 85}, {44, 74}, {45, 75}, {22, 113}, {182, 209}, {180, 211}, {49, 86}, {31, 119}, {24, 115}, {188, 215}, {36, 79}, {29, 118}, {44, 64}, {184, 212}, {168, 196}, {187, 214}, {35, 77}, {187, 213}, {41, 71}, {40, 70}, {177, 193}, {32, 83}, {189, 201}, {190, 202}, {37, 80}, {10, 124}, {11, 125}, {20, 108}, {186, 194}, {180, 205}, {47, 84}, {63, 68}, {7, 123}, {5, 120}, {178, 207}, {168, 213}, {62, 67}, {190, 192}, {74, 203}, {50, 176}, {11, 136}, {26, 153}, {39, 163}, {87, 211}, {47, 170}, {84, 209}, {46, 168}, {61, 183}, {73, 195}, {10, 135}, {95, 206}, {53, 166}, {60, 175}, {92, 201}, {59, 173}, {93, 202}, {54, 172}, {91, 199}, {50, 172}, {48, 175}, {71, 216}, {17, 177}, {12, 174}, {25, 186}, {13, 171}, {2, 165}, {103, 192}, {27, 179}, {60, 148}, {59, 147}, {58, 146}, {57, 145}, {56, 144}, {103, 207}, {105, 193}, {106, 194}, {25, 179}, {51, 159}, {34, 143}, {18, 162}, {15, 190}, {21, 164}, {120, 201}, {1, 178}, {62, 141}, {58, 142}, {98, 214}, {118, 192}, {19, 164}, {1, 185}, {55, 143}, {54, 142}, {53, 141}, {63, 134}, {62, 132}, {121, 194}, {126, 195}, {107, 213}, {51, 140}, {98, 162}, {117, 180}, {104, 171}, {105, 170}, {94, 154}, {95, 155}, {69, 128}, {92, 153}, {98, 167}, {96, 166}, {70, 129}, {102, 161}, {113, 184}, {6, 205}, {99, 168}, {101, 169}, {102, 170}, {30, 211}, {80, 157}, {82, 159}, {100, 169}, {28, 210}, {96, 174}, {81, 158}, {4, 212}, {127, 175}, {65, 144}, {86, 135}, {88, 137}, {4, 214}, {74, 152}, {94, 140}, {75, 152}, {79, 156}, {87, 132}, {89, 138}, {126, 173}, {65, 149}, {76, 153}, {78, 155}, {86, 131}, {105, 188}, {100, 178}, {77, 154}, {85, 130}, {119, 160}, {110, 183}, {117, 172}, {100, 190}, {101, 191}, {124, 167}, {64, 156}, {125, 161}, {88, 133}, {97, 188}, {127, 162}, {72, 150}, {73, 151}, {99, 189}, {87, 136}, {89, 134}, {121, 166}, {116, 149}, {55, 212}, {40, 204}, {32, 197}, {41, 204}, {38, 206}, {85, 188}, {113, 157}, {97, 140}, {108, 131}, {123, 148}, {33, 208}, {118, 135}, {122, 139}, {120, 138}, {83, 160}, {110, 155}, {122, 140}, {52, 195}, {102, 158}, {122, 130}, {109, 148}, {94, 164}, {95, 165}, {104, 146}, {90, 161}, {92, 162}, {93, 163}, {119, 137}, {57, 198}, {78, 177}, {66, 189}, {116, 139} }>;

(II) A more general form is to represent the graph as the orbit of {1, 2} under the group generated by the following permutations:

a: (2, 185)(3, 10)(5, 178)(6, 137)(7, 135)(8, 214)(9, 24)(11, 25)(12, 173)(13, 124)(14, 212)(15, 133)(16, 88)(17, 86)(18, 187)(19, 121)(20, 85)(21, 186)(22, 115)(23, 50)(26, 207)(27, 119)(28, 118)(29, 210)(30, 74)(31, 179)(32, 126)(33, 82)(34, 184)(35, 67)(36, 49)(37, 139)(38, 79)(39, 48)(40, 138)(41, 110)(42, 72)(43, 176)(44, 65)(45, 136)(46, 68)(47, 172)(51, 200)(52, 167)(53, 198)(54, 170)(55, 71)(56, 171)(57, 166)(58, 188)(59, 174)(60, 125)(61, 150)(62, 77)(63, 76)(64, 149)(66, 134)(69, 116)(70, 89)(73, 129)(75, 87)(78, 169)(80, 122)(81, 163)(83, 114)(84, 117)(90, 196)(91, 160)(92, 192)(93, 158)(94, 203)(95, 191)(96, 112)(97, 113)(98, 107)(99, 175)(100, 120)(101, 155)(102, 109)(103, 153)(104, 144)(105, 142)(106, 132)(108, 130)(111, 128)(123, 181)(127, 168)(131, 177)(140, 157)(141, 154)(143, 216)(145, 147)(146, 215)(148, 161)(151, 165)(152, 211)(156, 206)(159, 208)(162, 213)(164, 194)(180, 209)(182, 205)(183, 204)(189, 202)(190, 201)(193, 199)(195, 197)
b: (1, 2, 6, 16, 35, 67, 88, 137, 185)(3, 7, 17, 36, 68, 115, 24, 48, 85)(4, 8, 18, 37, 69, 116, 139, 187, 214)(5, 12, 27, 42, 77, 126, 133, 182, 151)(9, 22, 46, 49, 86, 135, 10, 20, 39)(11, 21, 40, 70, 117, 172, 50, 87, 136)(13, 28, 55, 79, 127, 97, 44, 81, 130)(14, 29, 56, 80, 128, 149, 184, 213, 98)(15, 32, 62, 72, 119, 173, 178, 165, 205)(19, 41, 76, 82, 131, 181, 30, 58, 99)(23, 47, 84, 89, 138, 186, 25, 45, 75)(26, 51, 91, 102, 154, 195, 201, 145, 191)(31, 59, 100, 129, 180, 54, 83, 132, 150)(33, 63, 110, 121, 175, 188, 74, 123, 177)(34, 64, 111, 122, 171, 210, 212, 107, 162)(38, 71, 118, 124, 108, 163, 65, 113, 168)(43, 78, 96, 134, 183, 194, 60, 105, 152)(52, 92, 143, 156, 90, 140, 104, 158, 198)(53, 93, 144, 157, 196, 206, 216, 192, 167)(57, 101, 153, 159, 199, 161, 94, 146, 189)(61, 106, 114, 170, 209, 73, 120, 174, 179)(66, 112, 169, 176, 211, 142, 125, 164, 204)(95, 147, 190, 197, 141, 109, 160, 200, 207)(103, 155, 166, 202, 215, 203, 148, 193, 208)
c: (2, 5)(3, 9)(6, 15)(7, 19)(8, 14)(10, 24)(11, 23)(12, 26)(13, 22)(17, 38)(18, 34)(20, 44)(21, 43)(25, 50)(27, 54)(28, 57)(29, 53)(30, 48)(31, 47)(32, 61)(33, 46)(35, 42)(36, 49)(39, 74)(40, 73)(41, 52)(45, 83)(51, 90)(55, 98)(56, 97)(58, 104)(59, 103)(60, 87)(62, 109)(63, 112)(64, 108)(65, 85)(66, 84)(67, 72)(68, 82)(69, 80)(70, 89)(71, 107)(75, 125)(76, 96)(77, 102)(78, 95)(79, 86)(81, 94)(91, 142)(92, 145)(93, 141)(99, 152)(100, 151)(105, 160)(106, 161)(110, 167)(111, 140)(113, 171)(114, 136)(115, 124)(116, 122)(117, 134)(118, 166)(119, 170)(120, 165)(121, 135)(123, 164)(126, 150)(127, 159)(128, 157)(129, 138)(130, 149)(131, 156)(132, 148)(133, 137)(143, 162)(144, 188)(147, 192)(153, 174)(154, 158)(163, 203)(168, 208)(169, 191)(172, 179)(173, 207)(175, 211)(176, 186)(177, 206)(178, 185)(180, 202)(181, 194)(182, 201)(183, 197)(184, 187)(189, 209)(190, 205)(195, 204)(196, 200)(198, 210)(212, 214)(213, 216)

(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[ 216, 65 ]
216
-1 2 178 5 185
-2 165 1 12 6
-3 13 7 74 85
-4 14 212 214 8
-5 1 15 26 120
-6 2 16 27 205
-7 123 3 17 28
-8 4 18 29 107
-9 22 39 19 65
-10 124 135 30 20
-11 125 136 31 21
-12 2 51 174 32
-13 33 3 171 52
-14 34 4 71 53
-15 190 5 16 54
-16 35 15 6 42
-17 55 177 36 7
-18 56 37 8 162
-19 57 38 9 164
-20 58 39 108 10
-21 11 59 40 164
-22 46 113 41 9
-23 47 114 75 43
-24 44 121 48 115
-25 45 179 60 186
-26 90 5 61 153
-27 91 179 6 62
-28 210 92 7 63
-29 93 8 118 64
-30 211 94 10 65
-31 11 66 95 119
-32 12 35 83 197
-33 13 36 96 208
-34 143 14 37 97
-35 77 67 16 32
-36 33 68 79 17
-37 34 69 80 18
-38 49 19 206 98
-39 99 9 20 163
-40 100 70 204 21
-41 22 101 71 204
-42 102 16 61 72
-43 23 123 103 73
-44 24 104 74 64
-45 25 61 105 75
-46 22 168 49 76
-47 23 78 170 84
-48 24 81 85 175
-49 46 38 82 86
-50 176 83 172 87
-51 12 159 106 140
-52 13 101 107 195
-53 166 14 108 141
-54 15 172 109 142
-55 110 143 212 17
-56 111 144 124 18
-57 198 112 145 19
-58 113 146 20 142
-59 112 147 173 21
-60 25 114 148 175
-61 45 26 183 42
-62 132 67 27 141
-63 68 134 103 28
-64 44 156 69 29
-65 144 149 30 9
-66 189 70 31 76
-67 88 35 126 62
-68 36 115 127 63
-69 37 116 128 64
-70 66 40 117 129
-71 14 216 41 86
-72 88 150 42 109
-73 89 151 195 43
-74 44 3 203 152
-75 23 45 106 152
-76 66 46 118 153
-77 154 35 106 119
-78 155 177 47 120
-79 121 156 36 107
-80 122 157 37 108
-81 111 123 48 158
-82 112 124 49 159
-83 125 50 160 32
-84 209 89 47 96
-85 188 3 48 130
-86 135 49 71 131
-87 132 211 136 50
-88 67 133 137 72
-89 134 138 73 84
-90 111 26 127 161
-91 199 114 27 104
-92 201 28 162 153
-93 202 29 163 109
-94 154 30 140 164
-95 165 155 206 31
-96 33 166 84 174
-97 34 188 115 140
-98 167 38 214 162
-99 189 168 125 39
-100 178 190 169 40
-101 169 191 41 52
-102 158 170 161 42
-103 192 63 207 43
-104 44 91 146 171
-105 45 188 170 193
-106 77 51 194 75
-107 79 213 8 52
-108 80 20 53 131
-109 93 148 72 54
-110 55 155 115 183
-111 56 90 81 116
-112 57 59 82 117
-113 22 58 157 184
-114 23 91 60 126
-115 110 24 68 97
-116 111 69 149 139
-117 112 70 180 172
-118 135 192 29 76
-119 77 137 160 31
-120 78 201 5 138
-121 166 24 79 194
-122 80 139 140 130
-123 81 148 7 43
-124 56 167 82 10
-125 11 99 83 161
-126 67 114 173 195
-127 68 90 162 175
-128 69 171 163 196
-129 165 176 70 197
-130 198 122 177 85
-131 199 169 86 108
-132 200 62 87 164
-133 88 178 201 170
-134 89 179 202 63
-135 181 118 86 10
-136 11 150 87 142
-137 88 182 119 185
-138 89 183 120 186
-139 187 122 116 184
-140 122 94 51 97
-141 180 203 62 53
-142 199 58 136 54
-143 55 34 145 159
-144 56 160 215 65
-145 143 57 182 174
-146 58 104 204 195
-147 166 59 205 216
-148 123 60 196 109
-149 210 116 206 65
-150 136 72 204 207
-151 191 73 205 185
-152 209 74 75 208
-153 176 26 92 76
-154 77 198 209 94
-155 110 78 167 95
-156 199 79 191 64
-157 200 80 113 203
-158 210 189 102 81
-159 143 211 82 51
-160 144 83 193 119
-161 90 102 125 181
-162 92 127 18 98
-163 93 181 39 128
-164 132 94 19 21
-165 2 182 95 129
-166 121 147 96 53
-167 155 124 98 197
-168 99 46 213 196
-169 100 101 172 131
-170 133 47 102 105
-171 187 13 104 128
-172 169 50 117 54
-173 200 59 126 185
-174 12 145 96 186
-175 48 202 60 127
-176 181 50 129 153
-177 78 17 193 130
-178 1 100 133 207
-179 134 25 191 27
-180 211 117 205 141
-181 176 135 161 163
-182 165 209 145 137
-183 110 61 138 215
-184 113 212 139 216
-185 1 137 151 173
-186 25 138 194 174
-187 213 214 171 139
-188 105 215 85 97
-189 66 99 201 158
-190 100 15 202 192
-191 101 156 179 151
-192 190 103 213 118
-193 177 105 160 206
-194 121 203 106 186
-195 146 126 73 52
-196 168 148 128 207
-197 167 215 129 32
-198 154 57 212 130
-199 156 91 131 142
-200 132 157 173 208
-201 133 189 92 120
-202 134 190 93 175
-203 157 194 74 141
-204 146 40 150 41
-205 147 180 6 151
-206 38 149 193 95
-207 178 103 150 196
-208 33 200 216 152
-209 154 182 84 152
-210 158 214 28 149
-211 180 159 30 87
-212 55 198 4 184
-213 187 168 192 107
-214 187 210 4 98
-215 144 188 183 197
-216 147 71 184 208
0

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