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On this page are computer-accessible forms for the graph C4[ 216, 59 ] = UG(ATD[216,78]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {198, 199} under the group generated by the following permutations:

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

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

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