Graph forms
for C4 [ 224, 3 ] = C_224(1,97)
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On this page are computer-accessible forms for the graph C4[ 224, 3 ] =
C_224(1,97).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {2, 3}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214,
215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203},
{200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188,
189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177},
{174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162,
163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151},
{148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136,
137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125},
{122, 123}, {120, 121}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56,
57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {4,
5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
{22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37},
{38, 39}, {40, 41}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79},
{80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95},
{96, 97}, {98, 99}, {100, 101}, {102, 103}, {104, 105}, {106, 107}, {108, 109},
{110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {1, 2}, {221, 222},
{217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193,
194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170},
{165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141,
142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {65, 66}, {61,
62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13,
14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {69, 70}, {73,
74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102},
{105, 106}, {109, 110}, {113, 114}, {117, 118}, {3, 4}, {219, 220}, {211, 212},
{203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155,
156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {59, 60}, {51, 52}, {43,
44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {67, 68}, {75, 76}, {83, 84}, {91,
92}, {99, 100}, {107, 108}, {115, 116}, {7, 8}, {215, 216}, {199, 200}, {183,
184}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {23, 24}, {39,
40}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {207, 208}, {175, 176}, {143,
144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {223, 224}, {159, 160}, {95,
96}, {2, 99}, {4, 101}, {6, 103}, {8, 105}, {10, 107}, {12, 109}, {14, 111},
{16, 113}, {18, 115}, {20, 117}, {22, 119}, {24, 121}, {26, 123}, {28, 125},
{30, 127}, {1, 98}, {5, 102}, {9, 106}, {13, 110}, {17, 114}, {21, 118}, {25,
122}, {29, 126}, {3, 100}, {11, 108}, {19, 116}, {27, 124}, {7, 104}, {23, 120},
{15, 112}, {191, 192}, {63, 64}, {1, 128}, {65, 192}, {63, 190}, {61, 188}, {59,
186}, {57, 184}, {55, 182}, {53, 180}, {51, 178}, {49, 176}, {47, 174}, {45,
172}, {43, 170}, {41, 168}, {3, 130}, {5, 132}, {7, 134}, {9, 136}, {11, 138},
{13, 140}, {15, 142}, {17, 144}, {19, 146}, {21, 148}, {23, 150}, {25, 152},
{27, 154}, {29, 156}, {31, 158}, {33, 160}, {35, 162}, {37, 164}, {39, 166},
{67, 194}, {69, 196}, {71, 198}, {73, 200}, {75, 202}, {77, 204}, {79, 206},
{81, 208}, {83, 210}, {85, 212}, {87, 214}, {89, 216}, {91, 218}, {93, 220},
{95, 222}, {97, 224}, {2, 129}, {66, 193}, {62, 189}, {58, 185}, {54, 181}, {50,
177}, {46, 173}, {42, 169}, {6, 133}, {10, 137}, {14, 141}, {18, 145}, {22,
149}, {26, 153}, {30, 157}, {34, 161}, {38, 165}, {70, 197}, {74, 201}, {78,
205}, {82, 209}, {86, 213}, {90, 217}, {94, 221}, {4, 131}, {60, 187}, {52,
179}, {44, 171}, {12, 139}, {20, 147}, {28, 155}, {36, 163}, {68, 195}, {76,
203}, {84, 211}, {92, 219}, {8, 135}, {56, 183}, {40, 167}, {24, 151}, {72,
199}, {88, 215}, {16, 143}, {127, 224}, {63, 160}, {48, 175}, {31, 128}, {80,
207}, {95, 192}, {32, 129}, {126, 223}, {124, 221}, {122, 219}, {120, 217}, {62,
159}, {60, 157}, {58, 155}, {56, 153}, {54, 151}, {52, 149}, {50, 147}, {48,
145}, {46, 143}, {44, 141}, {42, 139}, {34, 131}, {36, 133}, {38, 135}, {40,
137}, {96, 193}, {98, 195}, {100, 197}, {102, 199}, {104, 201}, {106, 203},
{108, 205}, {110, 207}, {112, 209}, {114, 211}, {116, 213}, {118, 215}, {33,
130}, {125, 222}, {121, 218}, {61, 158}, {57, 154}, {53, 150}, {49, 146}, {45,
142}, {41, 138}, {37, 134}, {97, 194}, {101, 198}, {105, 202}, {109, 206}, {113,
210}, {117, 214}, {35, 132}, {123, 220}, {59, 156}, {51, 148}, {43, 140}, {99,
196}, {107, 204}, {115, 212}, {39, 136}, {119, 216}, {55, 152}, {103, 200}, {32,
159}, {47, 144}, {96, 223}, {111, 208}, {1, 224}, {66, 163}, {64, 161}, {68,
165}, {70, 167}, {72, 169}, {74, 171}, {76, 173}, {78, 175}, {80, 177}, {82,
179}, {84, 181}, {86, 183}, {88, 185}, {90, 187}, {92, 189}, {94, 191}, {65,
162}, {69, 166}, {73, 170}, {77, 174}, {81, 178}, {85, 182}, {89, 186}, {93,
190}, {67, 164}, {75, 172}, {83, 180}, {91, 188}, {71, 168}, {87, 184}, {64,
191}, {127, 128}, {79, 176} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 98)(3, 195)(4, 68)(5, 165)(6, 38)(7, 135)(9, 105)(10, 202)(11, 75)(12,
172)(13, 45)(14, 142)(16, 112)(17, 209)(18, 82)(19, 179)(20, 52)(21, 149)(23,
119)(24, 216)(25, 89)(26, 186)(27, 59)(28, 156)(30, 126)(31, 223)(32, 96)(33,
193)(34, 66)(35, 163)(37, 133)(39, 103)(40, 200)(41, 73)(42, 170)(44, 140)(46,
110)(47, 207)(48, 80)(49, 177)(51, 147)(53, 117)(54, 214)(55, 87)(56, 184)(58,
154)(60, 124)(61, 221)(62, 94)(63, 191)(65, 161)(67, 131)(69, 101)(70, 198)(72,
168)(74, 138)(76, 108)(77, 205)(79, 175)(81, 145)(83, 115)(84, 212)(86, 182)(88,
152)(90, 122)(91, 219)(93, 189)(95, 159)(97, 129)(100, 196)(102, 166)(104,
136)(107, 203)(109, 173)(111, 143)(114, 210)(116, 180)(118, 150)(121, 217)(123,
187)(125, 157)(128, 224)(130, 194)(132, 164)(137, 201)(139, 171)(144, 208)(146,
178)(151, 215)(153, 185)(158, 222)(160, 192)(167, 199)(174, 206)(181, 213)(188,
220) (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, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224)
c: (2, 128)(3, 31)(4, 158)(5, 61)(6, 188)(7, 91)(8, 218)(9, 121)(10, 24)(11,
151)(12, 54)(13, 181)(14, 84)(15, 211)(16, 114)(18, 144)(19, 47)(20, 174)(21,
77)(22, 204)(23, 107)(25, 137)(26, 40)(27, 167)(28, 70)(29, 197)(30, 100)(32,
130)(34, 160)(35, 63)(36, 190)(37, 93)(38, 220)(39, 123)(41, 153)(42, 56)(43,
183)(44, 86)(45, 213)(46, 116)(48, 146)(50, 176)(51, 79)(52, 206)(53, 109)(55,
139)(57, 169)(58, 72)(59, 199)(60, 102)(62, 132)(64, 162)(66, 192)(67, 95)(68,
222)(69, 125)(71, 155)(73, 185)(74, 88)(75, 215)(76, 118)(78, 148)(80, 178)(82,
208)(83, 111)(85, 141)(87, 171)(89, 201)(90, 104)(92, 134)(94, 164)(96, 194)(98,
224)(99, 127)(101, 157)(103, 187)(105, 217)(106, 120)(108, 150)(110, 180)(112,
210)(115, 143)(117, 173)(119, 203)(122, 136)(124, 166)(126, 196)(131, 159)(133,
189)(135, 219)(138, 152)(140, 182)(142, 212)(147, 175)(149, 205)(154, 168)(156,
198)(163, 191)(165, 221)(170, 184)(172, 214)(179, 207)(186, 200)(195, 223)(202,
216)
C4[ 224, 3 ]
224
-1 2 224 128 98
-2 99 1 3 129
-3 100 2 4 130
-4 101 3 5 131
-5 132 102 4 6
-6 133 103 5 7
-7 134 104 6 8
-8 135 105 7 9
-9 136 106 8 10
-10 11 137 107 9
-11 12 138 108 10
-12 11 13 139 109
-13 110 12 14 140
-14 111 13 15 141
-15 112 14 16 142
-16 143 113 15 17
-17 144 114 16 18
-18 145 115 17 19
-19 146 116 18 20
-20 147 117 19 21
-21 22 148 118 20
-22 23 149 119 21
-23 22 24 150 120
-24 121 23 25 151
-25 122 24 26 152
-26 123 25 27 153
-27 154 124 26 28
-28 155 125 27 29
-29 156 126 28 30
-30 157 127 29 31
-31 158 128 30 32
-32 33 159 129 31
-33 34 160 130 32
-34 33 35 161 131
-35 132 34 36 162
-36 133 35 37 163
-37 134 36 38 164
-38 165 135 37 39
-39 166 136 38 40
-40 167 137 39 41
-41 168 138 40 42
-42 169 139 41 43
-43 44 170 140 42
-44 45 171 141 43
-45 44 46 172 142
-46 143 45 47 173
-47 144 46 48 174
-48 145 47 49 175
-49 176 146 48 50
-50 177 147 49 51
-51 178 148 50 52
-52 179 149 51 53
-53 180 150 52 54
-54 55 181 151 53
-55 56 182 152 54
-56 55 57 183 153
-57 154 56 58 184
-58 155 57 59 185
-59 156 58 60 186
-60 187 157 59 61
-61 188 158 60 62
-62 189 159 61 63
-63 190 160 62 64
-64 191 161 63 65
-65 66 192 162 64
-66 67 193 163 65
-67 66 68 194 164
-68 165 67 69 195
-69 166 68 70 196
-70 167 69 71 197
-71 198 168 70 72
-72 199 169 71 73
-73 200 170 72 74
-74 201 171 73 75
-75 202 172 74 76
-76 77 203 173 75
-77 78 204 174 76
-78 77 79 205 175
-79 176 78 80 206
-80 177 79 81 207
-81 178 80 82 208
-82 209 179 81 83
-83 210 180 82 84
-84 211 181 83 85
-85 212 182 84 86
-86 213 183 85 87
-87 88 214 184 86
-88 89 215 185 87
-89 88 90 216 186
-90 187 89 91 217
-91 188 90 92 218
-92 189 91 93 219
-93 220 190 92 94
-94 221 191 93 95
-95 222 192 94 96
-96 223 193 95 97
-97 224 194 96 98
-98 99 1 195 97
-99 100 2 196 98
-100 99 101 3 197
-101 198 100 102 4
-102 199 101 103 5
-103 200 102 104 6
-104 201 103 105 7
-105 202 104 106 8
-106 203 105 107 9
-107 204 106 108 10
-108 11 205 107 109
-109 110 12 206 108
-110 111 13 207 109
-111 110 112 14 208
-112 209 111 113 15
-113 210 112 114 16
-114 211 113 115 17
-115 212 114 116 18
-116 213 115 117 19
-117 214 116 118 20
-118 215 117 119 21
-119 22 216 118 120
-120 121 23 217 119
-121 122 24 218 120
-122 121 123 25 219
-123 220 122 124 26
-124 221 123 125 27
-125 222 124 126 28
-126 223 125 127 29
-127 224 126 128 30
-128 1 127 129 31
-129 2 128 130 32
-130 33 3 129 131
-131 132 34 4 130
-132 133 35 5 131
-133 132 134 36 6
-134 133 135 37 7
-135 134 136 38 8
-136 135 137 39 9
-137 136 138 40 10
-138 11 137 139 41
-139 12 138 140 42
-140 13 139 141 43
-141 44 14 140 142
-142 143 45 15 141
-143 144 46 16 142
-144 143 145 47 17
-145 144 146 48 18
-146 145 147 49 19
-147 146 148 50 20
-148 147 149 51 21
-149 22 148 150 52
-150 23 149 151 53
-151 24 150 152 54
-152 55 25 151 153
-153 154 56 26 152
-154 155 57 27 153
-155 154 156 58 28
-156 155 157 59 29
-157 156 158 60 30
-158 157 159 61 31
-159 158 160 62 32
-160 33 159 161 63
-161 34 160 162 64
-162 35 161 163 65
-163 66 36 162 164
-164 165 67 37 163
-165 166 68 38 164
-166 165 167 69 39
-167 166 168 70 40
-168 167 169 71 41
-169 168 170 72 42
-170 169 171 73 43
-171 44 170 172 74
-172 45 171 173 75
-173 46 172 174 76
-174 77 47 173 175
-175 176 78 48 174
-176 177 79 49 175
-177 176 178 80 50
-178 177 179 81 51
-179 178 180 82 52
-180 179 181 83 53
-181 180 182 84 54
-182 55 181 183 85
-183 56 182 184 86
-184 57 183 185 87
-185 88 58 184 186
-186 187 89 59 185
-187 188 90 60 186
-188 187 189 91 61
-189 188 190 92 62
-190 189 191 93 63
-191 190 192 94 64
-192 191 193 95 65
-193 66 192 194 96
-194 67 193 195 97
-195 68 194 196 98
-196 99 69 195 197
-197 198 100 70 196
-198 199 101 71 197
-199 198 200 102 72
-200 199 201 103 73
-201 200 202 104 74
-202 201 203 105 75
-203 202 204 106 76
-204 77 203 205 107
-205 78 204 206 108
-206 79 205 207 109
-207 110 80 206 208
-208 209 111 81 207
-209 210 112 82 208
-210 209 211 113 83
-211 210 212 114 84
-212 211 213 115 85
-213 212 214 116 86
-214 213 215 117 87
-215 88 214 216 118
-216 89 215 217 119
-217 90 216 218 120
-218 121 91 217 219
-219 220 122 92 218
-220 221 123 93 219
-221 220 222 124 94
-222 221 223 125 95
-223 222 224 126 96
-224 1 223 127 97
0