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