Graph forms
for C4 [ 225, 6 ] = AMC(9,5,[0.1:4.4])
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On this page are computer-accessible forms for the graph C4[ 225, 6 ] =
AMC(9,5,[0.1:4.4]).
(I) Following is a form readable by MAGMA:
g:=Graph<225|{ {150, 151}, {24, 29}, {98, 103}, {96, 101}, {72, 78}, {73, 79},
{25, 30}, {97, 102}, {75, 76}, {71, 77}, {146, 152}, {147, 153}, {23, 28}, {99,
104}, {22, 27}, {100, 105}, {148, 154}, {149, 155}, {21, 26}, {64, 83}, {72,
91}, {68, 87}, {132, 151}, {140, 159}, {8, 28}, {98, 118}, {97, 117}, {96, 116},
{9, 29}, {10, 30}, {11, 31}, {99, 119}, {160, 180}, {161, 181}, {162, 182},
{163, 183}, {168, 188}, {169, 189}, {170, 190}, {171, 191}, {40, 61}, {200,
221}, {75, 94}, {73, 92}, {67, 86}, {65, 84}, {137, 156}, {139, 158}, {74, 93},
{105, 126}, {138, 157}, {32, 56}, {199, 223}, {198, 222}, {197, 221}, {195,
219}, {194, 218}, {193, 217}, {192, 216}, {71, 95}, {66, 90}, {33, 57}, {34,
58}, {35, 59}, {37, 61}, {38, 62}, {39, 63}, {102, 126}, {103, 127}, {131, 155},
{32, 58}, {197, 223}, {196, 222}, {193, 219}, {192, 218}, {74, 80}, {65, 91},
{33, 59}, {36, 62}, {37, 63}, {101, 127}, {35, 56}, {195, 216}, {171, 176},
{175, 180}, {6, 26}, {7, 27}, {100, 120}, {164, 184}, {165, 185}, {166, 186},
{167, 187}, {69, 88}, {133, 152}, {135, 154}, {172, 177}, {174, 179}, {1, 31},
{194, 220}, {34, 60}, {130, 156}, {160, 190}, {161, 191}, {64, 95}, {70, 89},
{128, 159}, {134, 153}, {173, 178}, {67, 98}, {69, 100}, {129, 160}, {131, 162},
{133, 164}, {137, 168}, {139, 170}, {141, 172}, {143, 174}, {2, 32}, {95, 125},
{94, 124}, {91, 121}, {90, 120}, {87, 117}, {86, 116}, {83, 113}, {82, 112},
{79, 109}, {78, 108}, {3, 33}, {6, 36}, {7, 37}, {10, 40}, {11, 41}, {14, 44},
{15, 45}, {18, 48}, {19, 49}, {151, 181}, {154, 184}, {155, 185}, {158, 188},
{159, 189}, {31, 60}, {66, 97}, {134, 165}, {138, 169}, {142, 173}, {196, 225},
{4, 34}, {199, 225}, {198, 224}, {93, 123}, {92, 122}, {85, 115}, {84, 114},
{77, 107}, {76, 106}, {70, 96}, {5, 35}, {12, 42}, {13, 43}, {20, 50}, {31, 57},
{135, 161}, {156, 186}, {157, 187}, {68, 99}, {132, 163}, {27, 51}, {200, 224},
{28, 52}, {29, 53}, {30, 54}, {136, 160}, {141, 165}, {28, 54}, {29, 55}, {140,
166}, {12, 32}, {95, 115}, {94, 114}, {93, 113}, {92, 112}, {13, 33}, {14, 34},
{15, 35}, {128, 172}, {129, 173}, {130, 174}, {156, 176}, {157, 177}, {158,
178}, {159, 179}, {2, 47}, {80, 125}, {26, 55}, {30, 51}, {143, 162}, {8, 38},
{89, 119}, {88, 118}, {9, 39}, {26, 52}, {27, 53}, {152, 182}, {153, 183}, {1,
46}, {136, 167}, {142, 161}, {3, 48}, {79, 124}, {144, 163}, {148, 167}, {16,
36}, {91, 111}, {90, 110}, {89, 109}, {88, 108}, {83, 103}, {82, 102}, {81,
101}, {17, 37}, {18, 38}, {19, 39}, {24, 44}, {25, 45}, {4, 49}, {78, 123}, {76,
121}, {145, 164}, {147, 166}, {5, 50}, {77, 122}, {146, 170}, {145, 171}, {20,
40}, {87, 107}, {86, 106}, {85, 105}, {84, 104}, {21, 41}, {22, 42}, {23, 43},
{149, 168}, {16, 46}, {81, 111}, {80, 110}, {17, 47}, {144, 175}, {150, 169},
{151, 196}, {155, 200}, {52, 96}, {55, 99}, {53, 97}, {54, 98}, {51, 100}, {152,
197}, {154, 199}, {153, 198}, {51, 82}, {63, 94}, {61, 92}, {59, 90}, {57, 88},
{53, 84}, {162, 192}, {163, 193}, {166, 196}, {167, 197}, {170, 200}, {54, 85},
{191, 220}, {62, 93}, {58, 89}, {36, 65}, {46, 75}, {38, 64}, {191, 217}, {183,
209}, {182, 208}, {55, 81}, {39, 65}, {46, 72}, {47, 73}, {164, 194}, {165,
195}, {52, 83}, {181, 210}, {40, 64}, {190, 214}, {189, 213}, {188, 212}, {187,
211}, {185, 209}, {184, 208}, {61, 85}, {56, 80}, {42, 66}, {43, 67}, {44, 68},
{45, 69}, {47, 71}, {41, 67}, {189, 215}, {188, 214}, {184, 210}, {60, 86}, {44,
70}, {172, 192}, {173, 193}, {174, 194}, {175, 195}, {63, 82}, {190, 211}, {186,
215}, {42, 68}, {187, 213}, {186, 212}, {43, 69}, {168, 198}, {169, 199}, {41,
70}, {62, 81}, {56, 87}, {45, 66}, {60, 79}, {50, 71}, {59, 78}, {57, 76}, {58,
77}, {185, 206}, {48, 72}, {183, 207}, {182, 206}, {180, 204}, {49, 73}, {50,
74}, {177, 201}, {178, 202}, {179, 203}, {48, 74}, {181, 207}, {49, 75}, {176,
202}, {177, 203}, {176, 205}, {180, 201}, {178, 204}, {179, 205}, {8, 202}, {9,
203}, {12, 206}, {13, 207}, {17, 211}, {20, 214}, {24, 218}, {25, 219}, {10,
204}, {18, 212}, {19, 213}, {16, 215}, {20, 221}, {21, 220}, {5, 206}, {6, 205},
{1, 207}, {7, 201}, {16, 222}, {17, 223}, {22, 216}, {23, 217}, {25, 201}, {126,
175}, {2, 208}, {3, 209}, {6, 212}, {7, 213}, {11, 217}, {14, 220}, {127, 171},
{24, 205}, {4, 210}, {12, 218}, {13, 219}, {15, 216}, {10, 211}, {11, 210}, {4,
223}, {23, 204}, {3, 222}, {22, 203}, {8, 214}, {9, 215}, {14, 208}, {15, 209},
{2, 221}, {21, 202}, {1, 225}, {127, 158}, {111, 140}, {126, 157}, {5, 224},
{116, 145}, {102, 128}, {103, 129}, {111, 137}, {118, 144}, {119, 145}, {101,
130}, {104, 128}, {105, 129}, {107, 131}, {108, 132}, {109, 133}, {110, 134},
{120, 144}, {122, 146}, {123, 147}, {124, 148}, {125, 149}, {104, 130}, {108,
134}, {109, 135}, {121, 147}, {124, 150}, {106, 135}, {110, 131}, {106, 132},
{107, 133}, {122, 148}, {123, 149}, {121, 150}, {125, 146}, {18, 224}, {19,
225}, {120, 141}, {112, 136}, {113, 137}, {114, 138}, {115, 139}, {117, 141},
{118, 142}, {119, 143}, {112, 138}, {113, 139}, {116, 142}, {117, 143}, {115,
136}, {114, 140} }>;
(II) A more general form is to represent the graph as the orbit of {150, 151}
under the group generated by the following permutations:
a: (2, 5)(3, 4)(6, 7)(8, 10)(11, 13)(14, 15)(16, 19)(17, 18)(21, 25)(22, 24)(26,
201)(27, 205)(28, 204)(29, 203)(30, 202)(31, 207)(32, 206)(33, 210)(34, 209)(35,
208)(36, 213)(37, 212)(38, 211)(39, 215)(40, 214)(41, 219)(42, 218)(43, 217)(44,
216)(45, 220)(46, 225)(47, 224)(48, 223)(49, 222)(50, 221)(51, 176)(52, 180)(53,
179)(54, 178)(55, 177)(56, 182)(57, 181)(58, 185)(59, 184)(60, 183)(61, 188)(62,
187)(63, 186)(64, 190)(65, 189)(66, 194)(67, 193)(68, 192)(69, 191)(70, 195)(71,
200)(72, 199)(73, 198)(74, 197)(75, 196)(76, 151)(77, 155)(78, 154)(79, 153)(80,
152)(81, 157)(82, 156)(83, 160)(84, 159)(85, 158)(86, 163)(87, 162)(88, 161)(89,
165)(90, 164)(91, 169)(92, 168)(93, 167)(94, 166)(95, 170)(96, 175)(97, 174)(98,
173)(99, 172)(100, 171)(101, 126)(102, 130)(103, 129)(104, 128)(105, 127)(106,
132)(107, 131)(108, 135)(109, 134)(110, 133)(111, 138)(112, 137)(113, 136)(114,
140)(115, 139)(116, 144)(117, 143)(118, 142)(119, 141)(120, 145)(121, 150)(122,
149)(123, 148)(124, 147)(125, 146) (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, 6, 11, 16, 21)(2, 7, 12, 17, 22)(3, 8, 13, 18, 23)(4, 9, 14, 19, 24)(5,
10, 15, 20, 25)(26, 31, 36, 41, 46)(27, 32, 37, 42, 47)(28, 33, 38, 43, 48)(29,
34, 39, 44, 49)(30, 35, 40, 45, 50)(51, 56, 61, 66, 71)(52, 57, 62, 67, 72)(53,
58, 63, 68, 73)(54, 59, 64, 69, 74)(55, 60, 65, 70, 75)(76, 81, 86, 91, 96)(77,
82, 87, 92, 97)(78, 83, 88, 93, 98)(79, 84, 89, 94, 99)(80, 85, 90, 95,
100)(101, 106, 111, 116, 121)(102, 107, 112, 117, 122)(103, 108, 113, 118,
123)(104, 109, 114, 119, 124)(105, 110, 115, 120, 125)(126, 131, 136, 141,
146)(127, 132, 137, 142, 147)(128, 133, 138, 143, 148)(129, 134, 139, 144,
149)(130, 135, 140, 145, 150)(151, 156, 161, 166, 171)(152, 157, 162, 167,
172)(153, 158, 163, 168, 173)(154, 159, 164, 169, 174)(155, 160, 165, 170,
175)(176, 181, 186, 191, 196)(177, 182, 187, 192, 197)(178, 183, 188, 193,
198)(179, 184, 189, 194, 199)(180, 185, 190, 195, 200)(201, 206, 211, 216,
221)(202, 207, 212, 217, 222)(203, 208, 213, 218, 223)(204, 209, 214, 219,
224)(205, 210, 215, 220, 225)
c: (2, 5)(3, 4)(6, 21)(7, 25)(8, 24)(9, 23)(10, 22)(11, 16)(12, 20)(13, 19)(14,
18)(15, 17)(27, 30)(28, 29)(31, 46)(32, 50)(33, 49)(34, 48)(35, 47)(36, 41)(37,
45)(38, 44)(39, 43)(40, 42)(52, 55)(53, 54)(56, 71)(57, 75)(58, 74)(59, 73)(60,
72)(61, 66)(62, 70)(63, 69)(64, 68)(65, 67)(77, 80)(78, 79)(81, 96)(82, 100)(83,
99)(84, 98)(85, 97)(86, 91)(87, 95)(88, 94)(89, 93)(90, 92)(102, 105)(103,
104)(106, 121)(107, 125)(108, 124)(109, 123)(110, 122)(111, 116)(112, 120)(113,
119)(114, 118)(115, 117)(127, 130)(128, 129)(131, 146)(132, 150)(133, 149)(134,
148)(135, 147)(136, 141)(137, 145)(138, 144)(139, 143)(140, 142)(152, 155)(153,
154)(156, 171)(157, 175)(158, 174)(159, 173)(160, 172)(161, 166)(162, 170)(163,
169)(164, 168)(165, 167)(177, 180)(178, 179)(181, 196)(182, 200)(183, 199)(184,
198)(185, 197)(186, 191)(187, 195)(188, 194)(189, 193)(190, 192)(202, 205)(203,
204)(206, 221)(207, 225)(208, 224)(209, 223)(210, 222)(211, 216)(212, 220)(213,
219)(214, 218)(215, 217)
d: (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)
e: (1, 26, 51, 76, 101, 126, 151, 176, 201)(2, 50, 56, 77, 125, 131, 152, 200,
206)(3, 44, 61, 78, 119, 136, 153, 194, 211)(4, 38, 66, 79, 113, 141, 154, 188,
216)(5, 32, 71, 80, 107, 146, 155, 182, 221)(6, 27, 75, 81, 102, 150, 156, 177,
225)(7, 46, 55, 82, 121, 130, 157, 196, 205)(8, 45, 60, 83, 120, 135, 158, 195,
210)(9, 39, 65, 84, 114, 140, 159, 189, 215)(10, 33, 70, 85, 108, 145, 160, 183,
220)(11, 28, 69, 86, 103, 144, 161, 178, 219)(12, 47, 74, 87, 122, 149, 162,
197, 224)(13, 41, 54, 88, 116, 129, 163, 191, 204)(14, 40, 59, 89, 115, 134,
164, 190, 209)(15, 34, 64, 90, 109, 139, 165, 184, 214)(16, 29, 63, 91, 104,
138, 166, 179, 213)(17, 48, 68, 92, 123, 143, 167, 198, 218)(18, 42, 73, 93,
117, 148, 168, 192, 223)(19, 36, 53, 94, 111, 128, 169, 186, 203)(20, 35, 58,
95, 110, 133, 170, 185, 208)(21, 30, 57, 96, 105, 132, 171, 180, 207)(22, 49,
62, 97, 124, 137, 172, 199, 212)(23, 43, 67, 98, 118, 142, 173, 193, 217)(24,
37, 72, 99, 112, 147, 174, 187, 222)(25, 31, 52, 100, 106, 127, 175, 181,
202)
C4[ 225, 6 ]
225
-1 46 225 31 207
-2 221 47 32 208
-3 33 209 222 48
-4 34 210 223 49
-5 35 224 50 206
-6 36 212 26 205
-7 201 37 213 27
-8 202 38 214 28
-9 203 39 215 29
-10 211 204 40 30
-11 210 41 217 31
-12 206 42 218 32
-13 33 207 43 219
-14 44 220 34 208
-15 209 45 35 216
-16 46 222 36 215
-17 211 47 223 37
-18 212 48 224 38
-19 213 49 225 39
-20 221 214 50 40
-21 220 26 202 41
-22 27 203 216 42
-23 28 204 217 43
-24 44 29 205 218
-25 45 201 30 219
-26 55 6 52 21
-27 22 7 51 53
-28 23 8 52 54
-29 55 24 9 53
-30 25 51 10 54
-31 11 1 57 60
-32 12 56 2 58
-33 13 57 3 59
-34 14 58 4 60
-35 56 15 59 5
-36 16 6 62 65
-37 17 61 7 63
-38 18 62 8 64
-39 19 63 9 65
-40 61 20 64 10
-41 11 67 70 21
-42 22 66 12 68
-43 23 67 13 69
-44 24 68 14 70
-45 66 25 69 15
-46 1 16 72 75
-47 2 71 17 73
-48 3 72 18 74
-49 4 73 19 75
-50 5 71 74 20
-51 100 27 82 30
-52 26 28 83 96
-53 27 29 84 97
-54 28 30 85 98
-55 99 26 81 29
-56 35 80 32 87
-57 33 88 31 76
-58 77 34 89 32
-59 33 78 35 90
-60 34 79 31 86
-61 37 92 40 85
-62 36 81 38 93
-63 37 82 39 94
-64 38 83 40 95
-65 36 91 39 84
-66 45 90 42 97
-67 41 86 43 98
-68 44 99 42 87
-69 88 45 100 43
-70 44 89 41 96
-71 77 47 50 95
-72 78 46 91 48
-73 79 47 92 49
-74 80 48 93 50
-75 46 49 94 76
-76 121 57 106 75
-77 122 58 71 107
-78 123 59 72 108
-79 124 60 73 109
-80 110 56 125 74
-81 55 111 101 62
-82 112 102 51 63
-83 113 103 52 64
-84 114 104 53 65
-85 115 61 105 54
-86 67 60 116 106
-87 56 68 117 107
-88 57 69 118 108
-89 58 70 119 109
-90 66 110 59 120
-91 121 111 72 65
-92 122 112 61 73
-93 123 113 62 74
-94 124 114 63 75
-95 125 71 115 64
-96 101 70 116 52
-97 66 102 117 53
-98 67 103 118 54
-99 55 68 104 119
-100 69 105 51 120
-101 81 127 96 130
-102 82 126 128 97
-103 83 127 129 98
-104 99 84 128 130
-105 100 126 85 129
-106 132 135 86 76
-107 77 133 87 131
-108 88 132 78 134
-109 89 133 79 135
-110 90 134 80 131
-111 91 81 137 140
-112 92 136 82 138
-113 93 137 83 139
-114 94 138 84 140
-115 136 95 139 85
-116 145 96 86 142
-117 143 97 141 87
-118 88 144 98 142
-119 99 143 89 145
-120 100 144 90 141
-121 91 147 150 76
-122 77 146 92 148
-123 78 147 93 149
-124 79 148 94 150
-125 80 146 149 95
-126 102 157 105 175
-127 101 103 158 171
-128 102 104 159 172
-129 103 105 160 173
-130 101 156 104 174
-131 110 155 107 162
-132 106 151 108 163
-133 107 152 109 164
-134 110 165 108 153
-135 154 106 161 109
-136 112 167 115 160
-137 111 156 113 168
-138 112 157 114 169
-139 113 158 115 170
-140 111 166 114 159
-141 165 117 172 120
-142 116 161 118 173
-143 117 162 119 174
-144 118 163 120 175
-145 116 171 119 164
-146 122 125 170 152
-147 121 166 123 153
-148 154 122 167 124
-149 155 123 168 125
-150 121 124 169 151
-151 132 181 150 196
-152 133 146 182 197
-153 198 134 147 183
-154 199 135 148 184
-155 200 149 185 131
-156 176 137 130 186
-157 187 177 126 138
-158 188 178 127 139
-159 189 179 128 140
-160 190 136 180 129
-161 135 191 181 142
-162 143 192 182 131
-163 132 144 193 183
-164 133 145 194 184
-165 134 195 141 185
-166 147 140 196 186
-167 187 136 148 197
-168 198 188 137 149
-169 199 189 138 150
-170 200 146 190 139
-171 176 145 191 127
-172 177 192 128 141
-173 178 193 129 142
-174 143 179 194 130
-175 144 180 126 195
-176 156 202 171 205
-177 157 201 203 172
-178 158 202 204 173
-179 159 203 205 174
-180 201 160 204 175
-181 210 161 151 207
-182 162 206 152 208
-183 209 163 207 153
-184 154 210 164 208
-185 165 209 155 206
-186 166 156 212 215
-187 167 211 157 213
-188 168 212 158 214
-189 169 213 159 215
-190 211 170 214 160
-191 220 171 161 217
-192 172 216 162 218
-193 173 217 163 219
-194 220 174 218 164
-195 165 216 175 219
-196 166 222 225 151
-197 221 167 223 152
-198 222 168 224 153
-199 154 223 169 225
-200 155 221 224 170
-201 177 25 180 7
-202 176 178 8 21
-203 22 177 179 9
-204 23 178 180 10
-205 176 24 179 6
-206 12 5 182 185
-207 1 13 181 183
-208 2 14 182 184
-209 3 15 183 185
-210 11 4 181 184
-211 187 190 17 10
-212 188 6 18 186
-213 187 189 7 19
-214 188 190 8 20
-215 189 16 9 186
-216 22 15 192 195
-217 11 23 191 193
-218 12 24 192 194
-219 13 25 193 195
-220 14 191 194 21
-221 2 200 20 197
-222 198 3 16 196
-223 199 4 17 197
-224 198 200 5 18
-225 1 199 19 196
0