Graph forms
for C4 [ 224, 21 ] =
PL(KE_28(7,1,14,27,7),[4^28,56^2])
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 224, 21 ] =
PL(KE_28(7,1,14,27,7),[4^28,56^2]).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {98, 115}, {96, 115}, {97, 121}, {104, 114}, {105, 115}, {110,
114}, {111, 114}, {108, 114}, {95, 123}, {82, 116}, {83, 121}, {89, 115}, {87,
123}, {85, 123}, {75, 121}, {72, 123}, {65, 116}, {77, 120}, {66, 116}, {67,
121}, {67, 120}, {69, 120}, {48, 113}, {55, 117}, {50, 117}, {54, 113}, {49,
120}, {52, 125}, {55, 124}, {51, 127}, {56, 116}, {46, 126}, {40, 122}, {32,
117}, {42, 127}, {40, 126}, {38, 113}, {36, 125}, {36, 126}, {41, 117}, {33,
124}, {33, 127}, {34, 125}, {31, 127}, {21, 118}, {27, 126}, {17, 118}, {20,
124}, {19, 122}, {22, 122}, {29, 113}, {6, 119}, {11, 122}, {5, 119}, {4, 119},
{14, 125}, {3, 119}, {6, 124}, {13, 118}, {9, 118}, {37, 165}, {54, 182}, {43,
171}, {74, 202}, {29, 156}, {48, 177}, {43, 169}, {45, 175}, {7, 132}, {10,
137}, {76, 207}, {81, 210}, {28, 153}, {87, 210}, {49, 180}, {35, 166}, {5,
131}, {91, 221}, {89, 223}, {72, 206}, {15, 136}, {51, 187}, {52, 188}, {60,
180}, {71, 207}, {79, 199}, {15, 134}, {88, 209}, {87, 222}, {55, 190}, {32,
169}, {29, 148}, {28, 149}, {18, 155}, {67, 201}, {1, 138}, {53, 190}, {45,
166}, {39, 172}, {2, 137}, {56, 179}, {68, 207}, {78, 197}, {81, 218}, {17,
157}, {85, 217}, {26, 150}, {82, 223}, {34, 172}, {86, 216}, {47, 161}, {62,
176}, {66, 204}, {75, 197}, {7, 136}, {25, 150}, {63, 176}, {37, 181}, {38,
182}, {3, 146}, {86, 199}, {24, 137}, {10, 155}, {71, 214}, {73, 216}, {77,
220}, {27, 137}, {41, 187}, {30, 140}, {64, 210}, {13, 158}, {83, 192}, {53,
166}, {23, 132}, {16, 131}, {70, 213}, {9, 157}, {15, 155}, {12, 152}, {11,
159}, {74, 222}, {58, 175}, {94, 203}, {61, 168}, {75, 222}, {19, 133}, {93,
203}, {61, 170}, {65, 214}, {18, 138}, {52, 172}, {58, 162}, {74, 210}, {1,
152}, {25, 128}, {62, 167}, {73, 208}, {2, 152}, {92, 198}, {83, 201}, {47,
181}, {17, 139}, {8, 146}, {5, 158}, {50, 169}, {28, 135}, {23, 140}, {21, 142},
{4, 152}, {90, 198}, {84, 200}, {31, 131}, {77, 209}, {2, 159}, {35, 190}, {24,
133}, {3, 158}, {1, 159}, {59, 165}, {65, 223}, {9, 150}, {40, 183}, {37, 186},
{33, 190}, {50, 146}, {57, 153}, {22, 183}, {103, 198}, {43, 138}, {39, 134},
{15, 173}, {20, 183}, {109, 206}, {104, 203}, {48, 147}, {32, 131}, {46, 138},
{97, 197}, {60, 153}, {63, 154}, {11, 173}, {45, 139}, {9, 174}, {54, 145}, {44,
139}, {1, 169}, {8, 160}, {28, 181}, {61, 148}, {7, 173}, {30, 181}, {39, 140},
{12, 160}, {107, 199}, {48, 156}, {44, 128}, {6, 171}, {102, 203}, {99, 206},
{98, 207}, {37, 136}, {21, 187}, {56, 150}, {43, 133}, {58, 148}, {19, 188},
{101, 202}, {3, 179}, {16, 160}, {52, 133}, {108, 221}, {63, 141}, {24, 171},
{106, 217}, {102, 213}, {62, 141}, {20, 160}, {110, 218}, {105, 221}, {100,
208}, {26, 174}, {96, 213}, {13, 187}, {111, 217}, {29, 170}, {110, 217}, {109,
218}, {42, 146}, {96, 216}, {47, 149}, {8, 179}, {53, 142}, {38, 157}, {30,
165}, {23, 172}, {12, 183}, {60, 135}, {26, 166}, {39, 155}, {34, 159}, {109,
208}, {103, 218}, {96, 221}, {49, 140}, {35, 158}, {17, 175}, {112, 206}, {110,
208}, {102, 216}, {19, 173}, {60, 130}, {63, 129}, {20, 171}, {57, 134}, {2,
195}, {101, 164}, {88, 153}, {18, 211}, {25, 219}, {104, 170}, {7, 196}, {100,
167}, {10, 201}, {68, 128}, {102, 162}, {22, 211}, {84, 145}, {86, 144}, {108,
170}, {5, 194}, {99, 164}, {71, 128}, {80, 151}, {73, 129}, {112, 184}, {8,
193}, {66, 139}, {42, 224}, {93, 151}, {68, 142}, {80, 154}, {11, 192}, {92,
151}, {81, 154}, {78, 130}, {107, 167}, {98, 174}, {69, 136}, {89, 148}, {75,
134}, {18, 220}, {109, 163}, {106, 164}, {94, 145}, {4, 212}, {95, 143}, {6,
215}, {99, 178}, {16, 193}, {80, 129}, {16, 194}, {50, 224}, {31, 205}, {27,
201}, {26, 200}, {4, 215}, {112, 163}, {23, 196}, {21, 193}, {105, 189}, {30,
202}, {73, 156}, {90, 143}, {81, 135}, {107, 189}, {91, 141}, {85, 130}, {111,
184}, {86, 129}, {12, 212}, {106, 178}, {10, 211}, {100, 189}, {14, 215}, {64,
154}, {101, 191}, {13, 214}, {25, 194}, {24, 195}, {70, 157}, {31, 195}, {88,
132}, {79, 147}, {82, 142}, {14, 211}, {72, 149}, {97, 191}, {27, 196}, {76,
147}, {44, 204}, {112, 144}, {103, 135}, {95, 191}, {64, 161}, {108, 141}, {34,
192}, {90, 184}, {80, 178}, {56, 219}, {94, 189}, {76, 175}, {40, 205}, {97,
132}, {95, 186}, {85, 176}, {45, 200}, {58, 223}, {51, 212}, {88, 191}, {57,
222}, {59, 220}, {79, 168}, {57, 209}, {106, 130}, {103, 143}, {36, 205}, {42,
195}, {46, 196}, {101, 143}, {91, 177}, {47, 197}, {59, 209}, {82, 185}, {55,
219}, {93, 177}, {32, 205}, {87, 186}, {84, 185}, {33, 204}, {14, 224}, {92,
178}, {44, 194}, {70, 168}, {74, 164}, {76, 162}, {78, 161}, {66, 179}, {98,
147}, {69, 180}, {71, 182}, {77, 188}, {41, 219}, {46, 220}, {36, 215}, {38,
213}, {53, 193}, {35, 214}, {22, 224}, {99, 149}, {83, 165}, {65, 182}, {89,
174}, {62, 198}, {105, 145}, {100, 156}, {91, 163}, {64, 184}, {72, 176}, {61,
199}, {78, 180}, {49, 202}, {107, 144}, {92, 167}, {90, 161}, {59, 192}, {84,
168}, {94, 162}, {41, 212}, {68, 185}, {54, 200}, {93, 163}, {79, 177}, {51,
204}, {111, 144}, {104, 151}, {67, 188}, {69, 186}, {70, 185} }>;
(II) A more general form is to represent the graph as the orbit of {98, 115}
under the group generated by the following permutations:
a: (1, 2)(3, 8)(4, 12)(5, 16)(6, 20)(7, 23)(9, 17)(10, 18)(11, 34)(13, 21)(14,
22)(15, 39)(19, 52)(24, 43)(25, 44)(26, 45)(27, 46)(28, 47)(29, 61)(30, 37)(31,
32)(33, 55)(35, 53)(36, 40)(38, 70)(41, 51)(42, 50)(48, 79)(49, 69)(54, 84)(56,
66)(57, 75)(58, 89)(59, 83)(60, 78)(62, 92)(63, 80)(64, 81)(65, 82)(67, 77)(68,
71)(72, 99)(73, 86)(74, 87)(76, 98)(85, 106)(88, 97)(90, 103)(91, 93)(94,
105)(95, 101)(96, 102)(100, 107)(104, 108)(109, 112)(110, 111)(113, 168)(115,
162)(117, 127)(119, 160)(121, 209)(122, 125)(123, 164)(135, 161)(136, 140)(137,
138)(139, 150)(141, 151)(142, 214)(144, 208)(153, 197)(156, 199)(158, 193)(169,
195)(172, 173)(174, 175)(176, 178)(182, 185)(183, 215)(184, 218)(186, 202)(201,
220)(203, 221)(204, 219) (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: (1, 4, 51, 21, 9, 38, 102, 86, 63, 81, 74, 75, 15, 18, 14, 42, 8, 56, 65, 58,
61, 108, 110, 106, 78, 69, 77, 52, 24, 20, 55, 35, 45, 84, 105, 100, 92, 90, 95,
88, 23, 27, 40, 32, 5, 44, 68, 98, 48, 93, 112, 72, 28, 30, 83, 11)(2, 12, 41,
13, 17, 70, 96, 73, 80, 64, 87, 57, 39, 10, 22, 50, 3, 66, 82, 89, 29, 104, 111,
85, 60, 49, 67, 19, 43, 6, 33, 53, 26, 54, 94, 107, 62, 103, 101, 97, 7, 46, 36,
31, 16, 25, 71, 76, 79, 91, 109, 99, 47, 37, 59, 34)(113, 203, 144, 176, 135,
202, 121, 173, 138, 215, 127, 193, 150, 182, 162, 199, 141, 218, 164, 197, 136,
220, 125, 195, 160, 219, 214, 175, 168, 221, 208, 178, 161, 186, 209, 172, 137,
183, 117, 158, 139, 185, 115, 156, 151, 184, 123, 153, 140, 201, 122, 169, 119,
204, 142, 174)(114, 217, 130, 180, 120, 188, 133, 171, 124, 190, 166, 200, 145,
189, 167, 198, 143, 191, 132, 196, 126, 205, 131, 194, 128, 207, 147, 177, 163,
206, 149, 181, 165, 192, 159, 152, 212, 187, 118, 157, 213, 216, 129, 154, 210,
222, 134, 155, 211, 224, 146, 179, 116, 223, 148, 170)
c: (3, 7)(4, 11)(5, 15)(6, 19)(8, 23)(9, 28)(10, 31)(12, 34)(13, 37)(14, 40)(16,
39)(17, 47)(18, 32)(20, 52)(21, 30)(22, 36)(25, 57)(26, 60)(27, 42)(29, 62)(33,
67)(35, 69)(38, 72)(41, 59)(44, 75)(45, 78)(46, 50)(48, 63)(49, 53)(51, 83)(54,
85)(55, 77)(56, 88)(58, 90)(61, 92)(64, 76)(65, 95)(66, 97)(68, 74)(70, 99)(71,
87)(73, 91)(79, 80)(81, 98)(82, 101)(84, 106)(86, 93)(89, 103)(94, 111)(96,
109)(100, 108)(102, 112)(104, 107)(105, 110)(113, 176)(114, 189)(115, 218)(116,
191)(117, 220)(118, 181)(119, 173)(120, 190)(121, 204)(122, 215)(123, 182)(124,
188)(125, 183)(126, 224)(127, 201)(128, 222)(129, 177)(130, 200)(131, 155)(132,
179)(133, 171)(134, 194)(135, 174)(136, 158)(137, 195)(138, 169)(139, 197)(140,
193)(141, 156)(142, 202)(143, 223)(144, 203)(145, 217)(146, 196)(147, 154)(148,
198)(149, 157)(150, 153)(151, 199)(152, 159)(160, 172)(161, 175)(162, 184)(163,
216)(164, 185)(165, 187)(166, 180)(167, 170)(168, 178)(186, 214)(192, 212)(205,
211)(206, 213)(207, 210)(208, 221)(209, 219)
d: (1, 3)(2, 8)(4, 50)(5, 43)(6, 32)(7, 45)(9, 39)(10, 21)(11, 66)(12, 42)(13,
18)(14, 41)(15, 17)(16, 24)(19, 44)(20, 31)(22, 51)(23, 26)(25, 52)(27, 53)(28,
29)(30, 89)(33, 40)(34, 56)(35, 46)(36, 55)(37, 58)(38, 57)(47, 61)(48, 60)(49,
98)(54, 88)(59, 65)(62, 92)(63, 80)(64, 86)(67, 68)(69, 76)(70, 75)(71, 77)(72,
104)(73, 81)(74, 96)(78, 79)(82, 83)(84, 97)(85, 93)(87, 102)(90, 107)(91,
106)(94, 95)(99, 108)(100, 103)(101, 105)(109, 110)(111, 112)(113, 153)(114,
206)(115, 202)(116, 192)(117, 215)(118, 155)(119, 169)(120, 207)(121, 185)(122,
204)(123, 203)(124, 205)(125, 219)(126, 190)(127, 183)(128, 188)(129, 154)(130,
177)(131, 171)(132, 200)(133, 194)(134, 157)(135, 156)(136, 175)(137, 193)(138,
158)(139, 173)(140, 174)(141, 178)(142, 201)(143, 189)(144, 184)(145, 191)(146,
152)(147, 180)(148, 181)(149, 170)(150, 172)(151, 176)(159, 179)(160, 195)(161,
199)(162, 186)(163, 217)(164, 221)(165, 223)(166, 196)(167, 198)(168, 197)(182,
209)(187, 211)(208, 218)(210, 216)(212, 224)(213, 222)(214, 220)
e: (2, 43)(3, 39)(4, 18)(5, 15)(6, 10)(7, 16)(8, 23)(9, 28)(11, 32)(12, 46)(13,
57)(17, 60)(19, 31)(20, 27)(21, 88)(22, 36)(25, 37)(26, 47)(29, 80)(30, 56)(33,
67)(34, 50)(35, 75)(38, 81)(41, 59)(42, 52)(44, 69)(45, 78)(48, 63)(49, 66)(51,
77)(53, 97)(54, 64)(55, 83)(58, 106)(61, 92)(62, 79)(65, 74)(68, 95)(70,
103)(71, 87)(72, 98)(76, 85)(82, 101)(84, 90)(86, 100)(89, 99)(93, 108)(94,
111)(96, 109)(102, 110)(105, 112)(113, 154)(114, 203)(115, 206)(116, 202)(117,
192)(118, 153)(119, 155)(120, 204)(121, 190)(122, 205)(123, 207)(124, 201)(125,
224)(126, 183)(127, 188)(128, 186)(129, 156)(130, 175)(131, 173)(132, 193)(133,
195)(134, 158)(135, 157)(136, 194)(137, 171)(138, 152)(139, 180)(140, 179)(141,
177)(142, 191)(143, 185)(144, 189)(145, 184)(146, 172)(147, 176)(148, 178)(149,
174)(150, 181)(151, 170)(159, 169)(160, 196)(161, 200)(162, 217)(163, 221)(164,
223)(165, 219)(166, 197)(167, 199)(168, 198)(182, 210)(187, 209)(208, 216)(211,
215)(212, 220)(213, 218)(214, 222)
C4[ 224, 21 ]
224
-1 169 159 138 152
-2 137 159 195 152
-3 146 179 158 119
-4 212 215 119 152
-5 158 194 119 131
-6 124 171 215 119
-7 132 136 173 196
-8 146 179 160 193
-9 157 150 118 174
-10 155 211 201 137
-11 122 159 192 173
-12 212 160 183 152
-13 187 158 214 118
-14 211 125 224 215
-15 155 134 136 173
-16 160 193 194 131
-17 157 139 118 175
-18 220 155 211 138
-19 122 133 188 173
-20 124 160 171 183
-21 187 193 118 142
-22 122 211 224 183
-23 132 172 140 196
-24 133 137 171 195
-25 128 150 194 219
-26 166 200 150 174
-27 201 126 137 196
-28 135 181 149 153
-29 156 113 148 170
-30 165 202 181 140
-31 127 205 195 131
-32 169 117 205 131
-33 124 190 127 204
-34 125 159 192 172
-35 166 190 158 214
-36 125 126 215 205
-37 165 136 181 186
-38 113 157 213 182
-39 155 134 172 140
-40 122 126 183 205
-41 187 212 117 219
-42 146 224 127 195
-43 133 169 138 171
-44 204 128 139 194
-45 166 200 139 175
-46 220 126 138 196
-47 181 149 161 197
-48 177 156 113 147
-49 180 202 140 120
-50 146 169 224 117
-51 187 212 127 204
-52 133 188 125 172
-53 166 190 193 142
-54 145 200 113 182
-55 124 190 117 219
-56 179 116 150 219
-57 209 134 222 153
-58 223 148 162 175
-59 165 209 220 192
-60 135 180 130 153
-61 199 168 148 170
-62 176 198 167 141
-63 154 176 129 141
-64 154 210 161 184
-65 223 214 116 182
-66 179 116 204 139
-67 121 188 201 120
-68 128 185 207 142
-69 136 180 120 186
-70 157 168 213 185
-71 214 182 128 207
-72 176 123 149 206
-73 156 216 129 208
-74 210 222 202 164
-75 121 134 222 197
-76 147 162 207 175
-77 209 220 188 120
-78 180 161 130 197
-79 177 199 168 147
-80 154 178 129 151
-81 154 210 135 218
-82 223 116 185 142
-83 121 165 201 192
-84 145 200 168 185
-85 176 123 217 130
-86 144 199 216 129
-87 210 123 222 186
-88 132 209 191 153
-89 223 115 148 174
-90 143 198 161 184
-91 177 221 141 163
-92 198 167 178 151
-93 177 203 151 163
-94 145 189 203 162
-95 143 123 191 186
-96 221 213 115 216
-97 121 132 191 197
-98 147 115 174 207
-99 178 149 206 164
-100 156 167 189 208
-101 143 191 202 164
-102 213 203 216 162
-103 143 198 135 218
-104 114 170 203 151
-105 221 145 189 115
-106 178 217 130 164
-107 144 199 167 189
-108 221 114 170 141
-109 206 163 218 208
-110 114 217 218 208
-111 144 114 184 217
-112 144 184 206 163
-113 48 38 29 54
-114 110 111 104 108
-115 89 105 96 98
-116 66 56 82 65
-117 55 50 41 32
-118 13 17 9 21
-119 3 4 5 6
-120 77 67 69 49
-121 67 83 75 97
-122 11 22 40 19
-123 72 95 85 87
-124 33 55 6 20
-125 34 14 36 52
-126 46 36 27 40
-127 33 51 31 42
-128 44 68 25 71
-129 80 73 63 86
-130 78 60 106 85
-131 5 16 31 32
-132 88 23 7 97
-133 24 19 52 43
-134 57 15 39 75
-135 81 103 60 28
-136 69 15 37 7
-137 2 24 27 10
-138 1 46 18 43
-139 44 66 45 17
-140 23 49 39 30
-141 91 62 63 108
-142 68 82 53 21
-143 90 101 103 95
-144 111 112 107 86
-145 94 105 84 54
-146 3 50 8 42
-147 79 48 76 98
-148 89 58 61 29
-149 99 47 28 72
-150 56 25 26 9
-151 80 92 93 104
-152 1 12 2 4
-153 88 57 60 28
-154 80 81 63 64
-155 15 39 18 10
-156 100 48 29 73
-157 70 38 17 9
-158 13 35 3 5
-159 11 1 34 2
-160 12 16 8 20
-161 78 90 47 64
-162 58 102 94 76
-163 112 91 93 109
-164 99 101 106 74
-165 37 59 83 30
-166 45 35 26 53
-167 100 92 62 107
-168 79 70 61 84
-169 1 50 32 43
-170 104 61 29 108
-171 24 6 20 43
-172 23 34 39 52
-173 11 15 7 19
-174 89 26 9 98
-175 45 58 17 76
-176 72 62 63 85
-177 79 91 48 93
-178 99 80 92 106
-179 66 56 3 8
-180 78 69 49 60
-181 47 37 28 30
-182 38 71 54 65
-183 22 12 40 20
-184 111 90 112 64
-185 68 70 82 84
-186 69 37 95 87
-187 13 51 41 21
-188 77 67 19 52
-189 100 94 105 107
-190 33 55 35 53
-191 88 101 95 97
-192 11 34 59 83
-193 16 8 53 21
-194 44 25 5 16
-195 2 24 31 42
-196 23 46 27 7
-197 78 47 75 97
-198 90 92 103 62
-199 79 61 107 86
-200 45 26 84 54
-201 67 27 83 10
-202 101 49 30 74
-203 102 93 104 94
-204 33 44 66 51
-205 36 40 31 32
-206 99 112 72 109
-207 68 71 76 98
-208 110 100 73 109
-209 77 88 57 59
-210 81 74 64 87
-211 22 14 18 10
-212 12 4 51 41
-213 102 70 38 96
-214 13 35 71 65
-215 14 36 4 6
-216 102 73 96 86
-217 110 111 106 85
-218 110 81 103 109
-219 55 56 25 41
-220 77 46 59 18
-221 91 105 96 108
-222 57 74 75 87
-223 89 58 82 65
-224 22 14 50 42
0