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