Graph forms
for C4 [ 200, 22 ] = AMC(8,5,[1.2:1.4])
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On this page are computer-accessible forms for the graph C4[ 200, 22 ] =
AMC(8,5,[1.2:1.4]).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {49, 51}, {149, 151}, {24, 29}, {122, 127}, {50, 52}, {25, 30},
{121, 126}, {48, 55}, {98, 107}, {147, 154}, {100, 109}, {68, 78}, {69, 79},
{23, 28}, {146, 153}, {97, 106}, {100, 111}, {22, 27}, {66, 76}, {150, 152},
{67, 77}, {96, 110}, {21, 26}, {148, 155}, {64, 79}, {99, 108}, {96, 112}, {97,
113}, {98, 114}, {99, 115}, {65, 80}, {175, 190}, {173, 188}, {171, 186}, {169,
184}, {167, 182}, {165, 180}, {163, 178}, {161, 176}, {67, 82}, {69, 84}, {71,
86}, {73, 88}, {75, 90}, {33, 51}, {140, 158}, {133, 151}, {45, 63}, {44, 62},
{40, 58}, {66, 81}, {174, 189}, {170, 185}, {166, 181}, {162, 177}, {70, 85},
{74, 89}, {8, 28}, {11, 31}, {10, 30}, {9, 29}, {106, 126}, {107, 127}, {34,
52}, {175, 185}, {174, 184}, {167, 177}, {166, 176}, {139, 157}, {138, 156},
{43, 61}, {35, 53}, {70, 80}, {71, 81}, {32, 55}, {172, 187}, {164, 179}, {136,
159}, {68, 83}, {37, 60}, {131, 154}, {47, 54}, {72, 82}, {173, 183}, {172,
182}, {169, 179}, {168, 178}, {73, 83}, {46, 53}, {6, 26}, {7, 27}, {35, 62},
{129, 156}, {1, 31}, {171, 181}, {170, 180}, {135, 153}, {134, 152}, {39, 57},
{38, 56}, {74, 84}, {75, 85}, {34, 61}, {168, 183}, {132, 155}, {130, 157}, {36,
59}, {72, 87}, {26, 58}, {143, 175}, {142, 174}, {141, 173}, {138, 170}, {137,
169}, {136, 168}, {133, 165}, {132, 164}, {131, 163}, {128, 160}, {31, 63}, {28,
60}, {27, 59}, {2, 32}, {19, 49}, {18, 48}, {15, 45}, {14, 44}, {11, 41}, {10,
40}, {7, 37}, {6, 36}, {3, 33}, {77, 111}, {80, 114}, {84, 118}, {85, 119}, {88,
122}, {89, 123}, {64, 99}, {156, 191}, {152, 187}, {80, 116}, {29, 56}, {155,
190}, {153, 188}, {135, 162}, {65, 100}, {4, 34}, {20, 50}, {13, 43}, {12, 42},
{5, 35}, {82, 116}, {83, 117}, {90, 124}, {30, 57}, {154, 189}, {134, 161},
{151, 191}, {31, 54}, {141, 164}, {137, 160}, {81, 120}, {82, 123}, {84, 125},
{81, 122}, {142, 165}, {140, 167}, {128, 171}, {86, 125}, {12, 32}, {15, 35},
{14, 34}, {13, 33}, {85, 121}, {2, 47}, {151, 186}, {139, 166}, {129, 172}, {8,
38}, {143, 161}, {9, 39}, {87, 121}, {1, 46}, {130, 173}, {83, 124}, {86, 102},
{87, 103}, {88, 104}, {89, 105}, {91, 107}, {92, 108}, {93, 109}, {94, 110},
{91, 105}, {149, 167}, {148, 166}, {145, 163}, {144, 162}, {3, 48}, {16, 36},
{25, 45}, {24, 44}, {19, 39}, {18, 38}, {17, 37}, {4, 49}, {95, 106}, {5, 50},
{79, 120}, {95, 104}, {76, 117}, {147, 170}, {78, 119}, {92, 101}, {94, 103},
{77, 118}, {146, 169}, {144, 171}, {93, 102}, {20, 40}, {23, 43}, {22, 42}, {21,
41}, {145, 172}, {16, 46}, {150, 168}, {17, 47}, {78, 112}, {79, 113}, {76,
115}, {90, 101}, {26, 74}, {27, 75}, {29, 72}, {30, 73}, {56, 96}, {159, 199},
{158, 198}, {157, 197}, {156, 196}, {155, 195}, {154, 194}, {153, 193}, {152,
192}, {58, 98}, {57, 97}, {59, 99}, {60, 100}, {28, 71}, {61, 96}, {159, 194},
{157, 192}, {63, 98}, {62, 97}, {158, 193}, {32, 64}, {43, 75}, {42, 74}, {41,
73}, {38, 70}, {37, 69}, {36, 68}, {33, 65}, {52, 87}, {164, 199}, {160, 195},
{56, 91}, {60, 95}, {39, 66}, {163, 198}, {161, 196}, {59, 94}, {57, 92}, {51,
86}, {45, 72}, {58, 93}, {162, 197}, {51, 91}, {160, 200}, {55, 95}, {54, 94},
{53, 93}, {52, 92}, {41, 64}, {47, 70}, {40, 67}, {46, 69}, {44, 71}, {42, 65},
{53, 88}, {165, 200}, {55, 90}, {54, 89}, {61, 76}, {63, 78}, {48, 66}, {49,
67}, {62, 77}, {50, 68}, {17, 176}, {25, 184}, {23, 182}, {20, 181}, {19, 178},
{18, 177}, {25, 186}, {22, 181}, {16, 180}, {16, 182}, {24, 190}, {17, 183},
{20, 179}, {18, 184}, {23, 189}, {22, 188}, {19, 185}, {21, 185}, {21, 187},
{24, 183}, {2, 186}, {7, 191}, {5, 189}, {4, 188}, {3, 187}, {5, 191}, {14,
180}, {11, 177}, {12, 178}, {13, 179}, {1, 190}, {15, 176}, {1, 192}, {9, 200},
{7, 198}, {3, 194}, {2, 193}, {11, 200}, {6, 197}, {6, 195}, {4, 195}, {8, 192},
{15, 199}, {14, 198}, {13, 197}, {12, 196}, {10, 194}, {9, 193}, {10, 196}, {8,
199}, {126, 174}, {127, 175}, {126, 158}, {127, 159}, {102, 132}, {119, 149},
{118, 148}, {115, 145}, {114, 144}, {103, 133}, {106, 136}, {107, 137}, {110,
140}, {111, 141}, {101, 131}, {117, 147}, {116, 146}, {108, 138}, {109, 139},
{108, 128}, {125, 145}, {124, 144}, {109, 129}, {110, 130}, {111, 131}, {104,
134}, {120, 150}, {105, 135}, {103, 148}, {112, 132}, {123, 143}, {122, 142},
{121, 141}, {120, 140}, {115, 135}, {114, 134}, {113, 133}, {102, 147}, {101,
146}, {123, 128}, {116, 136}, {119, 139}, {118, 138}, {117, 137}, {104, 149},
{124, 129}, {112, 142}, {113, 143}, {105, 150}, {125, 130} }>;
(II) A more general form is to represent the graph as the orbit of {49, 51}
under the group generated by the following permutations:
a: (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) (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, 5)(6, 22)(7, 21)(8, 25)(9, 24)(10, 23)(11, 17)(12, 16)(13, 20)(14,
19)(15, 18)(26, 27)(28, 30)(31, 47)(32, 46)(33, 50)(34, 49)(35, 48)(36, 42)(37,
41)(38, 45)(39, 44)(40, 43)(51, 52)(53, 55)(56, 72)(57, 71)(58, 75)(59, 74)(60,
73)(61, 67)(62, 66)(63, 70)(64, 69)(65, 68)(76, 77)(78, 80)(81, 97)(82, 96)(83,
100)(84, 99)(85, 98)(86, 92)(87, 91)(88, 95)(89, 94)(90, 93)(101, 102)(103,
105)(106, 122)(107, 121)(108, 125)(109, 124)(110, 123)(111, 117)(112, 116)(113,
120)(114, 119)(115, 118)(126, 127)(128, 130)(131, 147)(132, 146)(133, 150)(134,
149)(135, 148)(136, 142)(137, 141)(138, 145)(139, 144)(140, 143)(151, 152)(153,
155)(156, 172)(157, 171)(158, 175)(159, 174)(160, 173)(161, 167)(162, 166)(163,
170)(164, 169)(165, 168)(176, 177)(178, 180)(181, 197)(182, 196)(183, 200)(184,
199)(185, 198)(186, 192)(187, 191)(188, 195)(189, 194)(190, 193)
c: (2, 7)(3, 13)(4, 19)(5, 25)(6, 21)(9, 14)(10, 20)(11, 16)(12, 22)(18, 23)(27,
32)(28, 38)(29, 44)(30, 50)(31, 46)(34, 39)(35, 45)(36, 41)(37, 47)(43, 48)(52,
57)(53, 63)(54, 69)(55, 75)(56, 71)(59, 64)(60, 70)(61, 66)(62, 72)(68, 73)(77,
82)(78, 88)(79, 94)(80, 100)(81, 96)(84, 89)(85, 95)(86, 91)(87, 97)(93,
98)(102, 107)(103, 113)(104, 119)(105, 125)(106, 121)(109, 114)(110, 120)(111,
116)(112, 122)(118, 123)(127, 132)(128, 138)(129, 144)(130, 150)(131, 146)(134,
139)(135, 145)(136, 141)(137, 147)(143, 148)(152, 157)(153, 163)(154, 169)(155,
175)(156, 171)(159, 164)(160, 170)(161, 166)(162, 172)(168, 173)(177, 182)(178,
188)(179, 194)(180, 200)(181, 196)(184, 189)(185, 195)(186, 191)(187, 197)(193,
198)
d: (2, 3, 5, 4)(6, 17, 21, 15)(7, 19, 25, 13)(8, 16, 24, 11)(9, 18, 23, 14)(10,
20, 22, 12)(26, 176)(27, 178, 30, 179)(28, 180, 29, 177)(31, 192, 46, 190)(32,
194, 50, 188)(33, 191, 49, 186)(34, 193, 48, 189)(35, 195, 47, 187)(36, 183, 41,
199)(37, 185, 45, 197)(38, 182, 44, 200)(39, 184, 43, 198)(40, 181, 42, 196)(51,
151)(52, 153, 55, 154)(53, 155, 54, 152)(56, 167, 71, 165)(57, 169, 75, 163)(58,
166, 74, 161)(59, 168, 73, 164)(60, 170, 72, 162)(61, 158, 66, 174)(62, 160, 70,
172)(63, 157, 69, 175)(64, 159, 68, 173)(65, 156, 67, 171)(76, 126)(77, 128, 80,
129)(78, 130, 79, 127)(81, 142, 96, 140)(82, 144, 100, 138)(83, 141, 99,
136)(84, 143, 98, 139)(85, 145, 97, 137)(86, 133, 91, 149)(87, 135, 95, 147)(88,
132, 94, 150)(89, 134, 93, 148)(90, 131, 92, 146)(102, 103, 105, 104)(106, 117,
121, 115)(107, 119, 125, 113)(108, 116, 124, 111)(109, 118, 123, 114)(110, 120,
122, 112)
e: (1, 26, 51, 76, 101, 126, 151, 176)(2, 35, 54, 93, 105, 147, 153, 189)(3, 39,
52, 85, 104, 143, 155, 197)(4, 43, 55, 97, 103, 139, 152, 185)(5, 47, 53, 89,
102, 135, 154, 193)(6, 33, 66, 92, 121, 149, 161, 190)(7, 37, 69, 84, 125, 145,
163, 198)(8, 41, 67, 96, 124, 136, 165, 181)(9, 50, 70, 88, 123, 132, 162,
194)(10, 29, 68, 80, 122, 128, 164, 177)(11, 40, 56, 83, 116, 142, 171, 199)(12,
44, 59, 100, 120, 138, 173, 182)(13, 48, 57, 87, 119, 134, 175, 195)(14, 27, 60,
79, 118, 130, 172, 178)(15, 31, 58, 91, 117, 146, 174, 186)(16, 42, 71, 99, 111,
140, 156, 183)(17, 46, 74, 86, 115, 131, 158, 191)(18, 30, 72, 78, 114, 127,
160, 179)(19, 34, 75, 95, 113, 148, 157, 187)(20, 38, 73, 82, 112, 144, 159,
200)(21, 49, 61, 90, 106, 133, 166, 192)(22, 28, 64, 77, 110, 129, 168, 180)(23,
32, 62, 94, 109, 150, 170, 188)(24, 36, 65, 81, 108, 141, 167, 196)(25, 45, 63,
98, 107, 137, 169, 184)
C4[ 200, 22 ]
200
-1 46 190 192 31
-2 47 193 32 186
-3 33 187 48 194
-4 34 188 49 195
-5 35 189 191 50
-6 36 26 195 197
-7 198 37 191 27
-8 199 38 192 28
-9 200 39 193 29
-10 40 194 30 196
-11 177 200 41 31
-12 178 42 196 32
-13 33 179 43 197
-14 44 198 34 180
-15 176 45 199 35
-16 46 36 180 182
-17 176 47 37 183
-18 177 48 38 184
-19 178 49 39 185
-20 179 181 50 40
-21 187 26 41 185
-22 188 27 181 42
-23 189 28 182 43
-24 44 190 29 183
-25 45 30 184 186
-26 58 6 74 21
-27 22 59 7 75
-28 23 60 71 8
-29 56 24 72 9
-30 57 25 73 10
-31 11 1 63 54
-32 55 12 2 64
-33 13 3 51 65
-34 14 4 61 52
-35 15 5 62 53
-36 68 59 16 6
-37 69 60 17 7
-38 56 70 18 8
-39 66 57 19 9
-40 67 58 20 10
-41 11 73 64 21
-42 22 12 74 65
-43 23 13 61 75
-44 24 14 71 62
-45 25 15 72 63
-46 1 69 16 53
-47 2 70 17 54
-48 55 66 3 18
-49 67 4 51 19
-50 68 5 52 20
-51 33 91 49 86
-52 34 92 50 87
-53 88 35 46 93
-54 89 47 94 31
-55 90 48 95 32
-56 91 38 29 96
-57 92 39 30 97
-58 26 93 40 98
-59 99 36 27 94
-60 100 37 28 95
-61 34 96 43 76
-62 44 77 35 97
-63 45 78 31 98
-64 99 79 41 32
-65 33 100 80 42
-66 48 81 39 76
-67 77 49 82 40
-68 78 36 50 83
-69 46 79 37 84
-70 47 80 38 85
-71 44 81 28 86
-72 45 82 29 87
-73 88 83 30 41
-74 89 26 84 42
-75 90 27 85 43
-76 66 115 61 117
-77 67 111 62 118
-78 68 112 63 119
-79 69 113 64 120
-80 70 114 116 65
-81 66 122 71 120
-82 67 123 72 116
-83 68 124 73 117
-84 69 125 74 118
-85 121 70 75 119
-86 102 125 71 51
-87 121 103 72 52
-88 122 104 73 53
-89 123 105 74 54
-90 55 101 124 75
-91 56 105 51 107
-92 57 101 52 108
-93 58 102 53 109
-94 110 59 103 54
-95 55 60 104 106
-96 110 56 112 61
-97 57 113 62 106
-98 58 114 63 107
-99 59 115 64 108
-100 111 60 65 109
-101 90 146 92 131
-102 132 147 93 86
-103 133 148 94 87
-104 88 134 149 95
-105 89 91 135 150
-106 136 126 95 97
-107 91 137 127 98
-108 99 92 138 128
-109 100 93 139 129
-110 94 96 140 130
-111 77 100 141 131
-112 132 78 96 142
-113 143 133 79 97
-114 144 134 80 98
-115 99 145 135 76
-116 80 146 136 82
-117 147 137 83 76
-118 77 148 138 84
-119 78 149 139 85
-120 79 81 150 140
-121 126 85 141 87
-122 88 81 127 142
-123 143 89 82 128
-124 144 90 83 129
-125 145 84 86 130
-126 121 158 106 174
-127 122 159 107 175
-128 123 160 171 108
-129 156 124 172 109
-130 110 157 125 173
-131 154 111 101 163
-132 155 112 102 164
-133 165 113 103 151
-134 114 104 161 152
-135 115 105 162 153
-136 168 159 116 106
-137 169 160 117 107
-138 156 170 118 108
-139 166 157 119 109
-140 110 167 158 120
-141 121 111 173 164
-142 165 122 112 174
-143 123 113 161 175
-144 124 114 171 162
-145 125 115 172 163
-146 101 169 116 153
-147 154 102 170 117
-148 155 166 103 118
-149 167 104 151 119
-150 168 105 152 120
-151 133 191 149 186
-152 187 134 192 150
-153 188 135 146 193
-154 189 147 194 131
-155 132 190 148 195
-156 191 138 129 196
-157 192 139 130 197
-158 198 126 193 140
-159 199 136 127 194
-160 200 137 128 195
-161 143 176 134 196
-162 144 177 135 197
-163 198 145 178 131
-164 132 199 179 141
-165 133 200 180 142
-166 176 148 181 139
-167 177 149 182 140
-168 178 136 150 183
-169 146 179 137 184
-170 147 180 138 185
-171 144 181 128 186
-172 187 145 182 129
-173 188 183 130 141
-174 189 126 184 142
-175 143 190 127 185
-176 166 15 17 161
-177 11 167 18 162
-178 12 168 19 163
-179 13 169 20 164
-180 165 14 16 170
-181 22 166 171 20
-182 23 167 16 172
-183 24 168 17 173
-184 25 169 18 174
-185 170 19 21 175
-186 2 25 171 151
-187 3 172 152 21
-188 22 4 173 153
-189 154 23 5 174
-190 1 155 24 175
-191 156 5 7 151
-192 1 157 8 152
-193 2 158 9 153
-194 154 3 159 10
-195 155 4 6 160
-196 12 156 161 10
-197 13 157 6 162
-198 14 158 7 163
-199 15 159 8 164
-200 11 165 160 9
0