Graph forms
for C4 [ 216, 63 ] = UG(ATD[216,90])
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On this page are computer-accessible forms for the graph C4[ 216, 63 ] =
UG(ATD[216,90]).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {114, 115}, {69, 71}, {188, 190}, {141, 143}, {12, 15}, {1, 4},
{209, 212}, {1, 7}, {42, 45}, {82, 85}, {101, 109}, {128, 136}, {4, 13}, {164,
173}, {16, 26}, {1, 10}, {161, 170}, {131, 142}, {98, 108}, {48, 63}, {180,
187}, {66, 77}, {37, 53}, {197, 213}, {174, 190}, {42, 58}, {1, 16}, {140, 157},
{4, 22}, {76, 94}, {74, 88}, {70, 84}, {13, 31}, {199, 212}, {7, 19}, {12, 24},
{67, 86}, {96, 117}, {10, 28}, {193, 215}, {161, 183}, {12, 27}, {207, 216}, {6,
30}, {131, 155}, {42, 50}, {130, 152}, {204, 215}, {34, 62}, {139, 151}, {65,
93}, {107, 119}, {109, 113}, {6, 27}, {79, 82}, {7, 25}, {174, 176}, {38, 56},
{22, 55}, {28, 61}, {7, 37}, {74, 104}, {25, 58}, {10, 46}, {153, 188}, {4, 34},
{87, 113}, {129, 167}, {19, 52}, {95, 120}, {21, 61}, {140, 164}, {11, 34}, {76,
101}, {130, 168}, {24, 51}, {73, 98}, {27, 54}, {144, 189}, {83, 124}, {132,
171}, {64, 115}, {89, 106}, {73, 125}, {3, 54}, {136, 189}, {31, 42}, {6, 48},
{70, 112}, {15, 57}, {65, 118}, {149, 162}, {81, 102}, {16, 40}, {149, 173},
{19, 43}, {24, 33}, {93, 100}, {129, 184}, {73, 115}, {13, 49}, {132, 184}, {68,
120}, {81, 108}, {140, 177}, {139, 182}, {84, 105}, {93, 96}, {158, 160}, {3,
60}, {69, 122}, {44, 108}, {25, 88}, {144, 209}, {31, 94}, {135, 197}, {136,
202}, {22, 85}, {21, 81}, {52, 112}, {55, 114}, {135, 194}, {5, 67}, {28, 91},
{151, 208}, {143, 200}, {137, 206}, {39, 111}, {10, 67}, {46, 103}, {40, 97},
{21, 92}, {134, 204}, {137, 195}, {13, 70}, {154, 209}, {35, 104}, {33, 108},
{43, 100}, {29, 77}, {151, 199}, {145, 193}, {54, 102}, {40, 120}, {23, 70},
{38, 117}, {154, 201}, {51, 96}, {47, 124}, {146, 198}, {47, 121}, {157, 203},
{155, 205}, {60, 106}, {129, 214}, {132, 211}, {15, 87}, {35, 123}, {3, 90},
{148, 205}, {36, 125}, {16, 73}, {62, 100}, {49, 106}, {145, 202}, {34, 127},
{19, 76}, {158, 193}, {31, 64}, {22, 118}, {167, 199}, {28, 124}, {25, 121}, {2,
99}, {37, 71}, {170, 200}, {61, 95}, {32, 67}, {46, 77}, {29, 122}, {40, 79},
{166, 207}, {57, 83}, {185, 210}, {23, 123}, {2, 111}, {187, 214}, {48, 93}, {9,
102}, {170, 197}, {35, 76}, {51, 66}, {161, 211}, {38, 85}, {41, 90}, {166,
210}, {186, 206}, {180, 194}, {14, 121}, {182, 193}, {60, 75}, {50, 69}, {30,
105}, {26, 109}, {14, 118}, {170, 210}, {36, 92}, {27, 99}, {21, 109}, {43, 82},
{191, 198}, {17, 107}, {2, 121}, {180, 207}, {9, 114}, {56, 68}, {183, 203},
{61, 64}, {186, 199}, {180, 203}, {18, 146}, {47, 174}, {68, 197}, {35, 161},
{59, 185}, {53, 183}, {75, 200}, {55, 178}, {75, 205}, {65, 198}, {65, 201},
{80, 216}, {32, 169}, {63, 182}, {36, 173}, {92, 213}, {17, 155}, {59, 176}, {2,
141}, {47, 160}, {87, 216}, {95, 208}, {8, 153}, {26, 139}, {66, 208}, {5, 150},
{17, 133}, {62, 171}, {8, 158}, {53, 163}, {84, 195}, {94, 201}, {49, 169}, {59,
163}, {9, 144}, {44, 181}, {20, 141}, {83, 202}, {12, 150}, {78, 212}, {39,
188}, {75, 208}, {52, 175}, {95, 196}, {58, 167}, {32, 190}, {44, 178}, {83,
205}, {30, 129}, {72, 215}, {5, 165}, {63, 159}, {60, 156}, {51, 147}, {17,
177}, {113, 209}, {57, 152}, {116, 213}, {14, 173}, {119, 212}, {24, 189}, {101,
195}, {8, 175}, {45, 138}, {37, 130}, {33, 134}, {107, 204}, {11, 163}, {18,
186}, {106, 194}, {101, 204}, {126, 215}, {5, 175}, {62, 148}, {53, 159}, {9,
163}, {58, 145}, {38, 139}, {43, 133}, {46, 128}, {3, 172}, {54, 153}, {107,
196}, {29, 172}, {45, 159}, {14, 189}, {57, 138}, {32, 147}, {49, 133}, {20,
162}, {26, 172}, {18, 165}, {55, 143}, {112, 200}, {11, 177}, {52, 142}, {18,
168}, {23, 172}, {8, 181}, {59, 134}, {30, 160}, {104, 214}, {45, 146}, {64,
130}, {88, 154}, {102, 162}, {126, 186}, {122, 191}, {6, 192}, {91, 157}, {97,
166}, {98, 165}, {119, 191}, {74, 131}, {90, 147}, {74, 128}, {92, 150}, {11,
192}, {15, 196}, {110, 165}, {112, 187}, {123, 176}, {126, 178}, {127, 179},
{117, 184}, {86, 152}, {71, 136}, {80, 159}, {103, 168}, {71, 151}, {78, 158},
{97, 177}, {82, 128}, {23, 196}, {29, 206}, {103, 179}, {80, 133}, {20, 194},
{72, 144}, {110, 182}, {87, 142}, {97, 184}, {124, 166}, {78, 149}, {81, 138},
{79, 147}, {85, 137}, {116, 168}, {119, 171}, {116, 169}, {20, 202}, {88, 134},
{103, 185}, {110, 176}, {122, 164}, {56, 216}, {66, 162}, {50, 211}, {110, 143},
{41, 203}, {80, 179}, {90, 185}, {96, 131}, {105, 138}, {127, 156}, {86, 178},
{98, 135}, {78, 169}, {125, 154}, {84, 188}, {86, 191}, {100, 141}, {120, 145},
{41, 195}, {68, 174}, {63, 213}, {126, 148}, {127, 149}, {36, 207}, {117, 153},
{39, 201}, {91, 181}, {41, 198}, {115, 156}, {123, 148}, {91, 171}, {99, 146},
{118, 135}, {33, 211}, {50, 192}, {111, 157}, {125, 137}, {39, 210}, {105, 156},
{72, 190}, {89, 175}, {114, 132}, {111, 152}, {56, 192}, {99, 155}, {44, 214},
{79, 181}, {77, 183}, {116, 142}, {72, 179}, {89, 164}, {113, 140}, {48, 206},
{69, 187}, {89, 167}, {94, 160}, {104, 150} }>;
(II) A more general form is to represent the graph as the orbit of {114, 115}
under the group generated by the following permutations:
a: (1, 2, 113, 114, 96, 95, 135, 133, 138, 137, 148, 150)(3, 182, 112, 168, 94,
191, 134, 181, 136, 166, 149, 192)(4, 99, 109, 55, 131, 61, 118, 17, 81, 85,
205, 92)(5, 7, 111, 209, 132, 51, 120, 194, 80, 105, 206, 123)(6, 172, 110, 52,
130, 201, 119, 33, 79, 202, 207, 127)(8, 71, 210, 78, 50, 90, 193, 187, 103,
160, 122, 59)(9, 117, 208, 197, 49, 45, 195, 126, 104, 10, 121, 140)(11, 54,
139, 200, 116, 31, 198, 204, 44, 128, 124, 173)(12, 16, 141, 87, 115, 93, 196,
98, 43, 57, 125, 62)(13, 146, 101, 178, 74, 28, 14, 177, 102, 38, 75, 213)(15,
73, 100)(18, 76, 86, 88, 91, 189, 97, 162, 56, 60, 63, 70)(19, 152, 154, 171,
24, 40, 20, 216, 156, 48, 23, 165)(21, 22, 155)(25, 157, 144, 184, 66, 68, 106,
159, 84, 186, 35, 67)(26, 143, 142, 64, 65, 107, 108, 82, 83, 36, 34, 27)(29,
176, 175, 37, 39, 212, 211, 147, 145, 180, 179, 30)(32, 58, 203, 72, 129, 77,
174, 89, 53, 188, 199, 161)(41, 215, 214, 46, 47, 164, 163, 153, 151, 170, 169,
42)(69, 185, 158)(167, 183, 190) (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.
**************
&Graph **************
b: (2, 3)(4, 10)(5, 11)(6, 12)(7, 16)(8, 17)(9, 18)(13, 28)(14, 29)(15, 30)(19,
40)(20, 41)(21, 42)(22, 46)(23, 47)(24, 48)(25, 26)(31, 61)(32, 62)(33, 63)(34,
67)(35, 68)(36, 69)(37, 73)(38, 74)(39, 75)(43, 79)(44, 80)(45, 81)(49, 91)(50,
92)(51, 93)(52, 97)(53, 98)(54, 99)(55, 103)(56, 104)(57, 105)(58, 109)(59,
110)(60, 111)(65, 66)(70, 124)(71, 125)(72, 126)(76, 120)(77, 118)(78, 119)(83,
84)(85, 128)(86, 127)(87, 129)(88, 139)(89, 140)(90, 141)(94, 95)(100, 147)(101,
145)(102, 146)(106, 157)(107, 158)(108, 159)(112, 166)(113, 167)(114, 168)(115,
130)(116, 132)(117, 131)(121, 172)(122, 173)(123, 174)(133, 181)(134, 182)(135,
183)(136, 137)(142, 184)(143, 185)(144, 186)(148, 190)(149, 191)(150, 192)(151,
154)(152, 156)(153, 155)(160, 196)(161, 197)(162, 198)(163, 165)(169, 171)(175,
177)(178, 179)(187, 207)(188, 205)(189, 206)(193, 204)(194, 203)(195, 202)(199,
209)(200, 210)(201, 208)(211, 213)(214, 216)
c: (1, 4, 13, 31, 64, 115, 156, 105, 138, 81, 102, 54, 27, 12, 24, 51, 96, 131,
74, 128, 82, 43, 19, 7)(2, 5, 14, 32, 65, 116, 154, 103, 137, 80, 101, 53, 26,
11, 23, 50, 95, 132, 75, 129, 83, 44, 20, 8)(3, 6, 15, 33, 66, 117, 155, 104,
136, 79, 100, 52, 25, 10, 22, 49, 94, 130, 73, 127, 84, 45, 21, 9)(16, 34, 70,
42, 61, 114, 60, 30, 57, 108, 162, 153, 99, 150, 189, 147, 93, 142, 88, 46, 85,
133, 76, 37)(17, 35, 71, 40, 62, 112, 58, 28, 55, 106, 160, 152, 98, 149, 188,
146, 92, 144, 90, 48, 87, 134, 77, 38)(18, 36, 72, 41, 63, 113, 59, 29, 56, 107,
161, 151, 97, 148, 187, 145, 91, 143, 89, 47, 86, 135, 78, 39)(67, 118, 169,
201, 168, 125, 179, 195, 159, 109, 163, 172, 192, 196, 211, 208, 184, 205, 214,
202, 181, 141, 175, 121)(68, 119, 170, 199, 166, 126, 180, 193, 157, 110, 164,
174, 191, 197, 212, 210, 186, 207, 215, 203, 182, 140, 176, 122)(69, 120, 171,
200, 167, 124, 178, 194, 158, 111, 165, 173, 190, 198, 213, 209, 185, 206, 216,
204, 183, 139, 177, 123)
d: (4, 10)(5, 11)(6, 12)(8, 9)(13, 46)(14, 47)(15, 48)(17, 18)(19, 37)(20,
39)(21, 38)(22, 28)(23, 29)(24, 30)(31, 128)(32, 127)(33, 129)(34, 67)(35,
69)(36, 68)(40, 73)(41, 75)(42, 74)(43, 130)(44, 132)(45, 131)(49, 103)(50,
104)(51, 105)(52, 53)(55, 91)(56, 92)(57, 93)(58, 88)(59, 89)(60, 90)(61,
85)(62, 86)(63, 87)(64, 82)(65, 83)(66, 84)(70, 77)(71, 76)(72, 78)(79, 115)(80,
116)(81, 117)(94, 136)(95, 137)(96, 138)(97, 98)(100, 152)(101, 151)(102,
153)(106, 185)(107, 186)(108, 184)(109, 139)(110, 140)(111, 141)(112, 183)(113,
182)(114, 181)(118, 124)(119, 126)(120, 125)(122, 123)(133, 168)(134, 167)(135,
166)(142, 159)(143, 157)(144, 158)(145, 154)(146, 155)(147, 156)(148, 191)(149,
190)(150, 192)(160, 189)(161, 187)(162, 188)(163, 175)(164, 176)(165, 177)(169,
179)(170, 180)(171, 178)(173, 174)(193, 209)(194, 210)(195, 208)(196, 206)(197,
207)(198, 205)(199, 204)(200, 203)(201, 202)(211, 214)(212, 215)(213, 216)
e: (2, 150)(3, 192)(4, 16)(5, 121)(6, 54)(7, 10)(8, 160)(9, 206)(11, 172)(12,
99)(13, 40)(14, 165)(15, 155)(17, 196)(18, 189)(19, 28)(20, 213)(21, 100)(22,
73)(23, 177)(24, 146)(25, 67)(26, 34)(29, 163)(30, 153)(31, 79)(32, 58)(33,
198)(35, 157)(36, 143)(37, 46)(38, 156)(39, 214)(41, 211)(42, 147)(43, 61)(44,
201)(45, 51)(47, 175)(48, 102)(49, 120)(50, 90)(52, 124)(53, 77)(55, 125)(56,
60)(57, 131)(59, 122)(62, 109)(63, 162)(64, 82)(65, 108)(66, 159)(68, 106)(69,
185)(70, 97)(71, 103)(72, 199)(74, 152)(75, 216)(76, 91)(78, 193)(80, 208)(81,
93)(83, 142)(84, 184)(85, 115)(86, 88)(87, 205)(89, 174)(92, 141)(94, 181)(95,
133)(96, 138)(98, 118)(101, 171)(104, 111)(105, 117)(110, 173)(112, 166)(113,
148)(114, 137)(116, 202)(119, 204)(123, 140)(126, 209)(127, 139)(128, 130)(129,
188)(132, 195)(134, 191)(136, 168)(144, 186)(145, 169)(149, 182)(151, 179)(154,
178)(161, 203)(164, 176)(167, 190)(170, 180)(187, 210)(194, 197)(200, 207)(212,
215)
C4[ 216, 63 ]
216
-1 4 16 7 10
-2 99 121 111 141
-3 90 60 172 54
-4 22 1 34 13
-5 165 67 150 175
-6 48 27 192 30
-7 1 25 37 19
-8 158 181 153 175
-9 144 102 114 163
-10 1 67 46 28
-11 34 177 192 163
-12 24 15 27 150
-13 4 70 49 31
-14 121 189 118 173
-15 12 57 196 87
-16 1 26 40 73
-17 133 155 177 107
-18 165 146 168 186
-19 7 52 43 76
-20 202 194 162 141
-21 81 92 61 109
-22 55 4 85 118
-23 123 70 172 196
-24 33 12 189 51
-25 88 121 58 7
-26 16 139 172 109
-27 99 12 6 54
-28 91 124 61 10
-29 77 122 172 206
-30 6 105 160 129
-31 13 94 42 64
-32 67 190 147 169
-33 24 134 211 108
-34 11 4 127 62
-35 123 104 161 76
-36 92 125 173 207
-37 71 7 53 130
-38 56 117 139 85
-39 111 188 210 201
-40 79 16 97 120
-41 198 90 203 195
-42 45 58 50 31
-43 100 133 82 19
-44 178 181 214 108
-45 146 159 138 42
-46 77 103 128 10
-47 121 124 160 174
-48 93 6 63 206
-49 133 13 169 106
-50 211 69 192 42
-51 66 24 147 96
-52 112 19 142 175
-53 37 159 183 163
-54 3 102 27 153
-55 22 143 178 114
-56 68 38 192 216
-57 15 83 138 152
-58 145 167 25 42
-59 176 134 163 185
-60 156 3 106 75
-61 28 95 64 21
-62 34 100 148 171
-63 48 213 159 182
-64 115 61 31 130
-65 198 201 93 118
-66 77 51 162 208
-67 5 86 10 32
-68 56 174 120 197
-69 187 122 71 50
-70 23 13 112 84
-71 69 37 136 151
-72 144 179 190 215
-73 125 16 115 98
-74 88 104 128 131
-75 200 60 205 208
-76 35 101 94 19
-77 66 46 29 183
-78 212 158 169 149
-79 147 82 181 40
-80 133 179 159 216
-81 102 138 108 21
-82 79 128 85 43
-83 57 124 202 205
-84 188 70 105 195
-85 22 38 82 137
-86 67 178 191 152
-87 113 15 216 142
-88 154 134 25 74
-89 167 106 164 175
-90 3 147 41 185
-91 157 181 28 171
-92 36 213 150 21
-93 100 48 96 65
-94 201 160 31 76
-95 61 196 120 208
-96 93 51 117 131
-97 166 177 40 184
-98 165 135 73 108
-99 155 2 146 27
-100 93 62 141 43
-101 204 195 76 109
-102 81 162 9 54
-103 46 168 179 185
-104 35 214 150 74
-105 156 138 84 30
-106 89 49 60 194
-107 17 204 119 196
-108 33 44 81 98
-109 101 113 26 21
-110 143 165 176 182
-111 2 157 39 152
-112 187 200 70 52
-113 209 140 87 109
-114 55 132 115 9
-115 156 114 73 64
-116 168 169 213 142
-117 38 96 184 153
-118 22 14 135 65
-119 212 191 171 107
-120 68 145 40 95
-121 2 14 25 47
-122 69 191 29 164
-123 176 23 35 148
-124 166 47 28 83
-125 154 36 137 73
-126 178 148 215 186
-127 34 156 179 149
-128 46 136 82 74
-129 167 214 30 184
-130 168 37 64 152
-131 155 74 96 142
-132 211 114 171 184
-133 80 49 17 43
-134 33 88 59 204
-135 194 118 98 197
-136 189 202 71 128
-137 125 85 195 206
-138 45 57 81 105
-139 26 38 182 151
-140 177 113 157 164
-141 143 100 2 20
-142 116 52 87 131
-143 55 110 200 141
-144 209 189 72 9
-145 58 202 193 120
-146 99 198 45 18
-147 79 90 51 32
-148 123 126 62 205
-149 78 127 162 173
-150 12 92 5 104
-151 199 71 139 208
-152 111 57 86 130
-153 188 117 8 54
-154 88 209 201 125
-155 99 17 205 131
-156 60 115 105 127
-157 111 91 203 140
-158 78 160 193 8
-159 45 80 63 53
-160 47 158 94 30
-161 35 211 170 183
-162 66 102 149 20
-163 11 59 9 53
-164 89 122 140 173
-165 110 5 18 98
-166 210 124 97 207
-167 89 199 58 129
-168 103 116 18 130
-169 78 49 116 32
-170 210 200 161 197
-171 132 91 62 119
-172 23 3 26 29
-173 14 36 149 164
-174 176 68 47 190
-175 89 5 8 52
-176 110 123 59 174
-177 11 17 140 97
-178 44 55 126 86
-179 80 103 72 127
-180 187 203 194 207
-181 44 79 91 8
-182 110 193 139 63
-183 77 203 161 53
-184 132 117 129 97
-185 210 90 59 103
-186 199 126 18 206
-187 112 69 180 214
-188 190 39 84 153
-189 144 24 14 136
-190 188 72 174 32
-191 198 122 86 119
-192 11 56 6 50
-193 145 158 182 215
-194 135 180 106 20
-195 101 137 84 41
-196 23 15 95 107
-197 68 135 213 170
-198 146 191 41 65
-199 167 212 151 186
-200 143 112 170 75
-201 154 39 94 65
-202 145 136 83 20
-203 157 180 183 41
-204 101 134 215 107
-205 155 148 83 75
-206 48 137 29 186
-207 166 36 180 216
-208 66 95 151 75
-209 154 144 113 212
-210 166 170 39 185
-211 33 132 50 161
-212 209 78 199 119
-213 92 116 63 197
-214 44 187 104 129
-215 126 72 193 204
-216 56 80 207 87
0