Graph forms
for C4 [ 225, 4 ] = {4,4}_15,0
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On this page are computer-accessible forms for the graph C4[ 225, 4 ] =
{4,4}_15,0.
(I) Following is a form readable by MAGMA:
g:=Graph<225|{ {2, 3}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216,
217}, {214, 215}, {212, 213}, {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}, {178, 179}, {176, 177}, {174, 175},
{172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {92, 93}, {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}, {58, 59}, {56, 57}, {54, 55},
{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}, {32, 33}, {34, 35}, {36, 37}, {38,
39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {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}, {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},
{152, 153}, {154, 155}, {156, 157}, {158, 159}, {160, 161}, {162, 163}, {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}, {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}, {49, 50}, {93, 94}, {97,
98}, {101, 102}, {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}, {161, 162}, {3, 4}, {219, 220}, {211, 212}, {203, 204}, {187,
188}, {179, 180}, {171, 172}, {163, 164}, {91, 92}, {83, 84}, {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}, {1, 15}, {16, 30}, {7, 8}, {215, 216}, {208, 223}, {199, 200}, {192, 207},
{183, 184}, {176, 191}, {167, 168}, {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}, {144, 159}, {151, 152}, {160, 175}, {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}, {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}, {161, 176}, {46, 60}, {166, 180},
{106, 120}, {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}, {76, 90}, {196, 210}, {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}, {136, 150}, {8, 23}, {207, 208}, {200, 215}, {175, 176},
{168, 183}, {79, 80}, {72, 87}, {40, 55}, {47, 48}, {104, 119}, {111, 112},
{136, 151}, {143, 144}, {17, 32}, {209, 224}, {91, 106}, {89, 104}, {87, 102},
{85, 100}, {83, 98}, {81, 96}, {19, 34}, {21, 36}, {23, 38}, {25, 40}, {27, 42},
{29, 44}, {31, 46}, {93, 108}, {95, 110}, {145, 160}, {147, 162}, {149, 164},
{151, 166}, {153, 168}, {155, 170}, {157, 172}, {159, 174}, {31, 45}, {211,
225}, {91, 105}, {151, 165}, {18, 33}, {210, 225}, {90, 105}, {86, 101}, {82,
97}, {22, 37}, {26, 41}, {30, 45}, {94, 109}, {146, 161}, {150, 165}, {154,
169}, {158, 173}, {20, 35}, {92, 107}, {84, 99}, {28, 43}, {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}, {61, 75}, {181, 195}, {52, 67}, {188, 203},
{180, 195}, {60, 75}, {56, 71}, {191, 192}, {184, 199}, {63, 64}, {1, 211}, {4,
214}, {5, 215}, {8, 218}, {9, 219}, {12, 222}, {13, 223}, {2, 212}, {3, 213},
{10, 220}, {11, 221}, {6, 216}, {7, 217}, {14, 224}, {15, 225}, {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},
{121, 135}, {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: (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,
225) (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, 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)
c: (2, 15)(3, 14)(4, 13)(5, 12)(6, 11)(7, 10)(8, 9)(17, 30)(18, 29)(19, 28)(20,
27)(21, 26)(22, 25)(23, 24)(32, 45)(33, 44)(34, 43)(35, 42)(36, 41)(37, 40)(38,
39)(47, 60)(48, 59)(49, 58)(50, 57)(51, 56)(52, 55)(53, 54)(62, 75)(63, 74)(64,
73)(65, 72)(66, 71)(67, 70)(68, 69)(77, 90)(78, 89)(79, 88)(80, 87)(81, 86)(82,
85)(83, 84)(92, 105)(93, 104)(94, 103)(95, 102)(96, 101)(97, 100)(98, 99)(107,
120)(108, 119)(109, 118)(110, 117)(111, 116)(112, 115)(113, 114)(122, 135)(123,
134)(124, 133)(125, 132)(126, 131)(127, 130)(128, 129)(137, 150)(138, 149)(139,
148)(140, 147)(141, 146)(142, 145)(143, 144)(152, 165)(153, 164)(154, 163)(155,
162)(156, 161)(157, 160)(158, 159)(167, 180)(168, 179)(169, 178)(170, 177)(171,
176)(172, 175)(173, 174)(182, 195)(183, 194)(184, 193)(185, 192)(186, 191)(187,
190)(188, 189)(197, 210)(198, 209)(199, 208)(200, 207)(201, 206)(202, 205)(203,
204)(212, 225)(213, 224)(214, 223)(215, 222)(216, 221)(217, 220)(218, 219)
C4[ 225, 4 ]
225
-1 2 211 15 16
-2 1 3 212 17
-3 2 4 213 18
-4 3 5 214 19
-5 4 6 215 20
-6 5 7 216 21
-7 22 6 8 217
-8 23 7 9 218
-9 24 8 10 219
-10 11 220 25 9
-11 12 221 26 10
-12 11 13 222 27
-13 12 14 223 28
-14 13 15 224 29
-15 1 14 225 30
-16 1 17 30 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 16 29
-31 45 46 16 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 60 30 31
-46 47 60 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 46 59 75
-61 46 62 75 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 61 74
-76 77 90 91 61
-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 89 105 75 76
-91 92 105 106 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 91 104 120
-106 121 91 107 120
-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
-120 135 105 106 119
-121 122 135 136 106
-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
-135 121 134 150 120
-136 121 137 150 151
-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
-150 165 135 136 149
-151 165 166 136 152
-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
-165 180 150 151 164
-166 167 180 181 151
-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
-180 165 166 179 195
-181 166 182 195 196
-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
-195 210 180 181 194
-196 210 211 181 197
-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
-210 209 225 195 196
-211 1 212 225 196
-212 2 211 213 197
-213 198 3 212 214
-214 199 4 213 215
-215 200 5 214 216
-216 201 6 215 217
-217 202 7 216 218
-218 203 8 217 219
-219 220 204 9 218
-220 221 205 10 219
-221 11 220 222 206
-222 12 221 223 207
-223 13 222 224 208
-224 209 14 223 225
-225 210 211 15 224
0