Graph forms
for C4 [ 224, 26 ] = UG(ATD[224,34])
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On this page are computer-accessible forms for the graph C4[ 224, 26 ] =
UG(ATD[224,34]).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {34, 35}, {138, 139}, {24, 26}, {76, 78}, {1, 2}, {193, 194},
{152, 155}, {1, 5}, {200, 204}, {3, 7}, {2, 6}, {67, 70}, {152, 157}, {48, 54},
{99, 101}, {72, 79}, {81, 86}, {73, 78}, {166, 174}, {199, 207}, {198, 206},
{55, 62}, {33, 43}, {183, 189}, {210, 217}, {2, 14}, {4, 8}, {3, 15}, {4, 9},
{68, 73}, {101, 107}, {149, 155}, {103, 104}, {134, 137}, {195, 211}, {131,
146}, {198, 215}, {168, 185}, {162, 179}, {33, 51}, {67, 81}, {109, 126}, {135,
148}, {12, 24}, {196, 208}, {165, 177}, {164, 176}, {161, 181}, {78, 90}, {13,
25}, {5, 16}, {200, 221}, {36, 49}, {10, 31}, {7, 18}, {111, 122}, {71, 81},
{168, 190}, {6, 17}, {13, 26}, {11, 28}, {45, 53}, {199, 223}, {164, 188}, {107,
115}, {38, 63}, {111, 118}, {8, 19}, {163, 184}, {74, 81}, {12, 23}, {109, 118},
{133, 158}, {135, 156}, {9, 20}, {78, 83}, {34, 63}, {11, 22}, {32, 62}, {197,
219}, {192, 222}, {160, 190}, {130, 156}, {10, 21}, {195, 220}, {11, 43}, {156,
188}, {151, 183}, {130, 162}, {6, 39}, {158, 191}, {155, 186}, {153, 184}, {151,
182}, {80, 113}, {25, 56}, {24, 57}, {23, 54}, {8, 41}, {140, 173}, {142, 175},
{14, 44}, {80, 114}, {18, 48}, {15, 45}, {91, 121}, {129, 163}, {131, 161},
{144, 178}, {5, 38}, {158, 189}, {154, 185}, {150, 181}, {82, 113}, {65, 98},
{31, 60}, {9, 42}, {136, 171}, {141, 174}, {21, 49}, {196, 224}, {86, 114}, {66,
102}, {28, 56}, {23, 51}, {22, 50}, {137, 173}, {30, 59}, {137, 172}, {141,
171}, {157, 187}, {146, 180}, {29, 58}, {156, 187}, {90, 125}, {91, 124}, {94,
121}, {145, 182}, {21, 61}, {154, 178}, {64, 104}, {87, 127}, {71, 110}, {129,
168}, {29, 55}, {65, 106}, {70, 109}, {27, 55}, {25, 52}, {132, 169}, {20, 58},
{148, 186}, {134, 168}, {7, 40}, {26, 53}, {133, 170}, {16, 32}, {149, 164},
{70, 116}, {157, 175}, {84, 102}, {70, 117}, {94, 106}, {147, 167}, {153, 172},
{159, 170}, {18, 37}, {20, 35}, {128, 183}, {132, 179}, {17, 41}, {20, 46}, {80,
107}, {85, 105}, {136, 180}, {72, 117}, {148, 169}, {93, 96}, {16, 46}, {17,
47}, {142, 176}, {143, 177}, {19, 44}, {22, 87}, {25, 88}, {16, 83}, {26, 89},
{41, 109}, {17, 84}, {58, 127}, {19, 86}, {42, 108}, {54, 112}, {18, 85}, {159,
216}, {29, 90}, {46, 100}, {57, 115}, {52, 126}, {138, 192}, {139, 193}, {60,
119}, {6, 74}, {60, 112}, {48, 124}, {143, 195}, {15, 66}, {46, 96}, {54, 120},
{47, 97}, {140, 194}, {44, 99}, {50, 125}, {150, 199}, {48, 98}, {62, 108}, {61,
111}, {56, 107}, {155, 200}, {47, 123}, {49, 101}, {144, 196}, {147, 198}, {30,
72}, {63, 105}, {57, 111}, {50, 100}, {146, 197}, {27, 67}, {29, 69}, {30, 68},
{51, 104}, {53, 110}, {14, 82}, {19, 79}, {39, 122}, {189, 224}, {58, 103}, {31,
64}, {57, 102}, {40, 119}, {171, 203}, {163, 194}, {60, 94}, {165, 199}, {161,
195}, {34, 65}, {169, 202}, {166, 197}, {38, 69}, {41, 77}, {182, 210}, {181,
209}, {160, 196}, {37, 64}, {186, 223}, {61, 88}, {36, 66}, {184, 222}, {45,
75}, {42, 76}, {49, 89}, {190, 214}, {189, 213}, {188, 212}, {181, 221}, {52,
92}, {59, 82}, {191, 214}, {190, 215}, {186, 211}, {53, 95}, {162, 200}, {34,
73}, {176, 219}, {185, 213}, {22, 120}, {180, 218}, {167, 201}, {51, 93}, {39,
72}, {179, 220}, {185, 201}, {187, 203}, {42, 91}, {183, 198}, {50, 64}, {191,
205}, {44, 95}, {40, 93}, {175, 218}, {173, 216}, {172, 217}, {43, 94}, {52,
66}, {182, 192}, {61, 75}, {59, 77}, {47, 88}, {167, 208}, {169, 209}, {170,
210}, {14, 116}, {174, 212}, {39, 92}, {177, 202}, {59, 71}, {179, 207}, {178,
206}, {38, 91}, {177, 204}, {45, 80}, {43, 85}, {40, 87}, {178, 205}, {62, 65},
{74, 202}, {77, 207}, {77, 201}, {76, 201}, {1, 139}, {69, 206}, {69, 202}, {73,
216}, {75, 223}, {10, 159}, {67, 219}, {75, 208}, {74, 214}, {79, 211}, {76,
211}, {115, 209}, {119, 213}, {115, 215}, {119, 223}, {116, 221}, {4, 174}, {4,
175}, {28, 176}, {1, 172}, {3, 173}, {79, 224}, {120, 215}, {10, 184}, {120,
204}, {12, 187}, {28, 171}, {116, 206}, {63, 128}, {13, 205}, {30, 222}, {13,
204}, {24, 217}, {21, 212}, {98, 160}, {99, 161}, {3, 192}, {35, 224}, {85,
145}, {103, 163}, {123, 191}, {31, 218}, {71, 129}, {100, 162}, {2, 203}, {84,
157}, {27, 210}, {12, 197}, {110, 165}, {88, 149}, {105, 164}, {95, 144}, {8,
216}, {84, 132}, {83, 131}, {82, 130}, {118, 166}, {87, 134}, {11, 217}, {7,
212}, {86, 133}, {92, 143}, {92, 136}, {15, 218}, {83, 134}, {23, 193}, {95,
137}, {9, 222}, {125, 170}, {27, 194}, {93, 135}, {122, 160}, {124, 166}, {127,
165}, {89, 130}, {89, 133}, {123, 167}, {90, 135}, {5, 219}, {117, 149}, {118,
150}, {121, 153}, {97, 128}, {106, 136}, {113, 147}, {117, 151}, {121, 154},
{122, 153}, {101, 129}, {126, 154}, {114, 148}, {112, 152}, {96, 138}, {97,
139}, {100, 142}, {123, 145}, {104, 131}, {33, 205}, {35, 207}, {105, 132}, {98,
140}, {99, 141}, {125, 147}, {33, 209}, {68, 180}, {112, 128}, {36, 213}, {102,
151}, {126, 140}, {127, 141}, {124, 143}, {108, 152}, {37, 208}, {32, 214},
{103, 144}, {36, 220}, {68, 188}, {37, 220}, {56, 193}, {113, 138}, {55, 203},
{106, 150}, {110, 146}, {114, 142}, {32, 221}, {108, 145}, {96, 158}, {97, 159}
}>;
(II) A more general form is to represent the graph as the orbit of {34, 35}
under the group generated by the following permutations:
a: (2, 172)(3, 202)(4, 215)(5, 139)(6, 137)(7, 169)(8, 190)(9, 198)(10, 221)(11,
187)(12, 28)(13, 180)(14, 153)(15, 177)(16, 97)(17, 134)(18, 148)(19, 160)(20,
183)(21, 181)(22, 157)(23, 176)(24, 171)(25, 146)(26, 136)(29, 182)(30, 178)(31,
200)(32, 159)(33, 188)(34, 158)(35, 189)(36, 199)(37, 186)(38, 138)(39, 95)(40,
132)(41, 168)(42, 147)(43, 156)(44, 122)(45, 143)(46, 128)(47, 83)(48, 114)(49,
150)(50, 152)(51, 164)(52, 110)(53, 92)(54, 142)(55, 210)(56, 197)(57, 141)(58,
151)(59, 154)(60, 162)(61, 161)(62, 170)(63, 96)(64, 155)(65, 133)(66, 165)(67,
194)(68, 205)(69, 192)(70, 163)(71, 126)(72, 144)(73, 191)(74, 173)(75, 195)(76,
167)(77, 185)(78, 123)(79, 196)(80, 124)(81, 140)(82, 121)(84, 87)(85, 135)(86,
98)(88, 131)(89, 106)(90, 145)(91, 113)(93, 105)(94, 130)(99, 111)(100,
112)(101, 118)(102, 127)(103, 117)(104, 149)(107, 166)(108, 125)(109, 129)(115,
174)(116, 184)(119, 179)(120, 175)(193, 219)(203, 217)(204, 218)(206, 222)(207,
213)(208, 211)(209, 212)(214, 216)(220, 223) (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, 5)(3, 10)(4, 68)(6, 16)(7, 21)(8, 73)(9, 30)(11, 56)(13, 120)(14, 38)(15,
31)(17, 83)(18, 49)(19, 34)(20, 72)(22, 25)(23, 24)(26, 54)(29, 70)(32, 74)(33,
115)(35, 79)(36, 37)(39, 46)(40, 61)(41, 78)(42, 59)(43, 107)(44, 63)(45,
60)(47, 134)(48, 89)(50, 52)(51, 57)(53, 112)(55, 67)(58, 117)(62, 81)(64,
66)(65, 86)(69, 116)(71, 108)(75, 119)(76, 77)(80, 94)(82, 91)(84, 131)(85,
101)(87, 88)(90, 109)(92, 100)(93, 111)(95, 128)(96, 122)(97, 137)(98, 133)(99,
105)(102, 104)(103, 151)(106, 114)(110, 152)(113, 121)(118, 135)(123, 168)(124,
130)(125, 126)(127, 149)(129, 145)(132, 161)(136, 142)(138, 153)(139, 172)(140,
170)(141, 164)(143, 162)(144, 183)(146, 157)(147, 154)(148, 150)(155, 165)(156,
166)(158, 160)(159, 173)(163, 182)(167, 185)(169, 181)(171, 176)(174, 188)(175,
180)(177, 200)(178, 198)(179, 195)(184, 192)(186, 199)(187, 197)(189, 196)(190,
191)(193, 217)(194, 210)(202, 221)(203, 219)(205, 215)(207, 211)(208, 213)
c: (1, 2, 6, 17, 84, 132, 179, 220, 37, 64, 104, 103, 163, 194, 27, 67, 70, 117,
149, 155, 186, 223, 119, 40, 87, 134, 137, 172)(3, 11, 16, 44, 122, 97, 187,
202, 77, 66, 85, 100, 161, 196, 10, 23, 29, 71, 126, 182, 176, 221, 79, 61, 112,
135, 165, 185)(4, 115, 34, 89, 124, 147, 180, 205, 9, 107, 65, 133, 166, 198,
68, 13, 42, 80, 106, 158, 174, 215, 73, 26, 91, 113, 136, 191)(5, 14, 39, 47,
157, 169, 207, 36, 18, 50, 131, 144, 184, 193, 55, 81, 109, 151, 164, 200, 211,
75, 60, 93, 127, 168, 173, 217)(7, 22, 83, 95, 153, 139, 203, 74, 41, 102, 105,
162, 195, 208, 31, 51, 58, 129, 140, 210, 219, 116, 72, 88, 152, 148, 199,
213)(8, 57, 63, 130, 143, 167, 218, 33, 20, 101, 98, 170, 197, 206, 30, 25, 108,
114, 150, 189, 212, 120, 78, 53, 121, 138, 171, 214)(12, 69, 59, 52, 145, 142,
181, 224, 21, 54, 90, 110, 154, 192, 28, 32, 19, 111, 128, 156, 177, 201, 15,
43, 46, 99, 160, 159)(24, 38, 82, 92, 123, 175, 209, 35, 49, 48, 125, 146, 178,
222, 56, 62, 86, 118, 183, 188, 204, 76, 45, 94, 96, 141, 190, 216)
d: (2, 5)(6, 38)(7, 15)(8, 9)(11, 56)(13, 33)(14, 16)(17, 91)(18, 66)(19,
20)(21, 31)(22, 107)(23, 24)(25, 43)(26, 51)(29, 81)(30, 73)(32, 116)(34,
72)(35, 79)(36, 37)(39, 63)(40, 45)(41, 42)(44, 46)(47, 121)(48, 102)(49,
64)(50, 101)(52, 85)(53, 93)(54, 57)(55, 67)(58, 86)(59, 78)(60, 61)(62, 70)(65,
117)(69, 74)(71, 90)(75, 119)(76, 77)(80, 87)(82, 83)(84, 124)(88, 94)(89,
104)(92, 105)(95, 96)(97, 153)(98, 151)(99, 100)(103, 133)(106, 149)(108,
109)(110, 135)(111, 112)(113, 134)(114, 127)(115, 120)(118, 152)(122, 128)(123,
154)(125, 129)(126, 145)(130, 131)(132, 143)(136, 164)(137, 138)(139, 172)(140,
182)(141, 142)(144, 158)(146, 156)(147, 168)(148, 165)(150, 155)(157, 166)(159,
184)(160, 183)(161, 162)(163, 170)(167, 185)(169, 177)(171, 176)(173, 192)(174,
175)(178, 191)(179, 195)(180, 188)(181, 200)(186, 199)(187, 197)(189, 196)(190,
198)(193, 217)(194, 210)(203, 219)(204, 209)(206, 214)(207, 211)(208, 213)(212,
218)(216, 222)
e: (4, 68)(8, 30)(9, 73)(11, 23)(12, 28)(13, 115)(17, 39)(19, 59)(20, 78)(22,
51)(24, 56)(25, 57)(26, 107)(33, 120)(34, 42)(35, 76)(41, 72)(43, 54)(44,
82)(46, 83)(47, 122)(48, 85)(50, 104)(52, 102)(53, 80)(58, 90)(63, 91)(65,
108)(71, 86)(77, 79)(84, 92)(87, 93)(88, 111)(89, 101)(94, 112)(95, 113)(96,
134)(97, 153)(98, 145)(99, 130)(100, 131)(103, 125)(105, 124)(106, 152)(109,
117)(110, 114)(118, 149)(121, 128)(123, 160)(126, 151)(127, 135)(129, 133)(132,
143)(136, 157)(137, 138)(139, 172)(140, 182)(141, 156)(142, 146)(144, 147)(148,
165)(150, 155)(154, 183)(158, 168)(159, 184)(161, 162)(163, 170)(164, 166)(167,
196)(169, 177)(171, 187)(173, 192)(174, 188)(175, 180)(176, 197)(178, 198)(179,
195)(181, 200)(185, 189)(186, 199)(190, 191)(193, 217)(194, 210)(201, 224)(204,
209)(205, 215)(207, 211)(216, 222)
C4[ 224, 26 ]
224
-1 2 5 139 172
-2 1 14 203 6
-3 15 192 7 173
-4 8 9 174 175
-5 1 16 38 219
-6 2 17 39 74
-7 3 212 18 40
-8 4 216 19 41
-9 222 4 20 42
-10 159 184 31 21
-11 22 28 217 43
-12 187 23 24 197
-13 25 26 204 205
-14 44 2 82 116
-15 66 45 3 218
-16 46 5 83 32
-17 47 6 84 41
-18 37 48 7 85
-19 44 79 8 86
-20 35 46 58 9
-21 212 49 61 10
-22 11 50 87 120
-23 12 193 51 54
-24 12 57 26 217
-25 88 56 13 52
-26 89 13 24 53
-27 55 67 210 194
-28 11 176 56 171
-29 55 90 58 69
-30 68 222 59 72
-31 60 64 218 10
-32 221 16 214 62
-33 209 51 205 43
-34 35 73 63 65
-35 34 224 20 207
-36 66 220 213 49
-37 220 18 64 208
-38 69 91 5 63
-39 122 92 6 72
-40 93 7 119 87
-41 77 17 8 109
-42 91 9 108 76
-43 11 33 94 85
-44 99 14 95 19
-45 80 15 53 75
-46 100 16 96 20
-47 88 123 17 97
-48 124 18 54 98
-49 89 101 36 21
-50 22 100 125 64
-51 33 23 93 104
-52 66 25 92 126
-53 110 45 26 95
-54 23 112 48 120
-55 27 203 29 62
-56 25 28 193 107
-57 111 24 102 115
-58 103 127 29 20
-59 77 71 82 30
-60 112 94 31 119
-61 88 111 75 21
-62 55 108 32 65
-63 34 38 105 128
-64 37 104 50 31
-65 34 62 106 98
-66 36 102 15 52
-67 70 81 27 219
-68 188 180 73 30
-69 202 38 29 206
-70 67 116 117 109
-71 110 59 81 129
-72 79 39 117 30
-73 34 78 68 216
-74 81 202 214 6
-75 45 223 61 208
-76 78 211 201 42
-77 201 59 41 207
-78 90 83 73 76
-79 211 224 72 19
-80 45 113 114 107
-81 67 71 74 86
-82 14 113 59 130
-83 78 134 16 131
-84 132 102 157 17
-85 145 105 18 43
-86 133 81 114 19
-87 22 134 127 40
-88 25 47 61 149
-89 133 26 49 130
-90 78 135 125 29
-91 121 124 38 42
-92 143 136 39 52
-93 135 40 51 96
-94 121 60 106 43
-95 44 144 137 53
-96 46 158 93 138
-97 47 159 128 139
-98 48 160 140 65
-99 44 101 161 141
-100 46 50 162 142
-101 99 49 107 129
-102 66 57 84 151
-103 144 58 104 163
-104 103 51 64 131
-105 132 63 85 164
-106 136 94 150 65
-107 56 101 80 115
-108 145 62 42 152
-109 70 126 41 118
-110 165 146 71 53
-111 122 57 61 118
-112 60 128 152 54
-113 80 147 82 138
-114 80 148 86 142
-115 209 57 215 107
-116 221 14 70 206
-117 70 72 149 151
-118 111 166 150 109
-119 223 213 60 40
-120 22 204 215 54
-121 154 91 94 153
-122 111 39 160 153
-123 145 167 47 191
-124 143 166 91 48
-125 90 147 170 50
-126 154 52 140 109
-127 165 58 141 87
-128 112 183 63 97
-129 101 168 71 163
-130 89 156 82 162
-131 146 104 83 161
-132 179 169 105 84
-133 89 158 170 86
-134 168 137 83 87
-135 90 156 93 148
-136 92 180 171 106
-137 134 95 172 173
-138 113 192 139 96
-139 1 138 193 97
-140 126 194 173 98
-141 99 127 171 174
-142 176 100 114 175
-143 177 124 92 195
-144 178 103 95 196
-145 123 182 85 108
-146 110 180 131 197
-147 198 167 113 125
-148 135 114 169 186
-149 88 155 117 164
-150 199 181 106 118
-151 102 182 117 183
-152 155 112 157 108
-153 121 122 172 184
-154 121 178 126 185
-155 200 149 152 186
-156 187 188 135 130
-157 187 84 152 175
-158 133 189 191 96
-159 170 216 97 10
-160 122 190 196 98
-161 99 181 195 131
-162 100 200 179 130
-163 103 194 129 184
-164 176 188 105 149
-165 110 177 199 127
-166 124 118 174 197
-167 123 201 147 208
-168 134 190 129 185
-169 132 209 202 148
-170 133 210 125 159
-171 136 203 28 141
-172 1 137 217 153
-173 3 137 216 140
-174 166 212 4 141
-175 157 4 218 142
-176 28 142 164 219
-177 143 165 202 204
-178 154 144 205 206
-179 132 220 162 207
-180 68 146 136 218
-181 209 221 150 161
-182 210 145 192 151
-183 198 189 128 151
-184 222 163 10 153
-185 154 168 201 213
-186 155 211 223 148
-187 12 156 157 203
-188 68 156 212 164
-189 158 213 224 183
-190 168 214 160 215
-191 123 158 214 205
-192 222 3 138 182
-193 23 56 139 194
-194 27 193 140 163
-195 143 220 211 161
-196 144 224 160 208
-197 12 166 146 219
-198 147 215 183 206
-199 165 223 150 207
-200 155 221 204 162
-201 77 167 185 76
-202 177 69 169 74
-203 55 187 2 171
-204 177 13 200 120
-205 33 13 178 191
-206 198 178 69 116
-207 77 199 35 179
-208 167 37 75 196
-209 33 169 115 181
-210 27 170 182 217
-211 79 195 76 186
-212 188 7 174 21
-213 189 36 119 185
-214 190 191 74 32
-215 198 190 115 120
-216 159 73 8 173
-217 11 210 24 172
-218 15 180 31 175
-219 176 67 5 197
-220 36 179 37 195
-221 200 181 116 32
-222 192 30 184 9
-223 199 75 119 186
-224 35 79 189 196
0