Graph forms
for C4 [ 250, 12 ] = AMC(10,5,[0.4:1.2])
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On this page are computer-accessible forms for the graph C4[ 250, 12 ] =
AMC(10,5,[0.4:1.2]).
(I) Following is a form readable by MAGMA:
g:=Graph<250|{ {200, 202}, {24, 29}, {146, 151}, {74, 76}, {75, 77}, {120, 126},
{25, 30}, {72, 79}, {98, 106}, {225, 233}, {224, 232}, {99, 107}, {100, 108},
{71, 78}, {197, 204}, {23, 28}, {198, 205}, {147, 152}, {116, 127}, {99, 111},
{225, 237}, {224, 236}, {22, 27}, {150, 155}, {148, 153}, {96, 109}, {112, 126},
{199, 201}, {113, 127}, {21, 26}, {196, 203}, {149, 154}, {97, 110}, {96, 113},
{98, 115}, {64, 82}, {200, 218}, {193, 211}, {73, 91}, {69, 87}, {68, 86}, {65,
83}, {97, 114}, {8, 28}, {11, 31}, {10, 30}, {9, 29}, {100, 112}, {131, 151},
{136, 156}, {137, 157}, {138, 158}, {139, 159}, {40, 61}, {170, 191}, {160,
181}, {74, 92}, {195, 213}, {194, 212}, {75, 93}, {72, 95}, {192, 215}, {32,
56}, {167, 191}, {165, 189}, {164, 188}, {163, 187}, {162, 186}, {160, 184},
{39, 63}, {38, 62}, {37, 61}, {35, 59}, {34, 58}, {33, 57}, {67, 90}, {197,
220}, {73, 80}, {71, 94}, {32, 58}, {164, 190}, {161, 187}, {37, 63}, {36, 62},
{33, 59}, {35, 56}, {66, 89}, {64, 91}, {6, 26}, {7, 27}, {132, 152}, {133,
153}, {134, 154}, {135, 155}, {65, 92}, {195, 222}, {1, 31}, {199, 217}, {198,
216}, {163, 189}, {162, 188}, {70, 88}, {34, 60}, {128, 158}, {129, 159}, {161,
190}, {196, 219}, {194, 221}, {165, 186}, {66, 98}, {193, 225}, {192, 224}, {68,
100}, {67, 99}, {78, 111}, {214, 247}, {210, 243}, {208, 241}, {204, 237}, {80,
113}, {84, 117}, {88, 121}, {90, 123}, {2, 32}, {143, 173}, {142, 172}, {139,
169}, {19, 49}, {18, 48}, {15, 45}, {14, 44}, {11, 41}, {10, 40}, {7, 37}, {6,
36}, {3, 33}, {130, 160}, {131, 161}, {134, 164}, {135, 165}, {138, 168}, {31,
60}, {213, 246}, {209, 242}, {205, 238}, {151, 180}, {85, 118}, {89, 122}, {69,
96}, {210, 247}, {156, 185}, {80, 117}, {4, 34}, {201, 239}, {159, 185}, {158,
184}, {151, 177}, {141, 171}, {140, 170}, {81, 119}, {31, 57}, {20, 50}, {13,
43}, {12, 42}, {5, 35}, {132, 162}, {133, 163}, {70, 97}, {209, 246}, {203,
236}, {83, 116}, {27, 51}, {159, 183}, {158, 182}, {157, 181}, {155, 179}, {154,
178}, {153, 177}, {152, 176}, {30, 54}, {29, 53}, {28, 52}, {28, 54}, {211,
249}, {208, 250}, {157, 183}, {156, 182}, {153, 179}, {152, 178}, {29, 55}, {81,
123}, {82, 120}, {86, 124}, {87, 125}, {155, 176}, {12, 32}, {143, 163}, {142,
162}, {141, 161}, {140, 160}, {15, 35}, {14, 34}, {13, 33}, {2, 47}, {30, 51},
{26, 55}, {84, 121}, {128, 173}, {130, 175}, {8, 38}, {212, 250}, {154, 180},
{27, 53}, {26, 52}, {9, 39}, {82, 124}, {83, 125}, {136, 166}, {137, 167}, {1,
46}, {223, 240}, {215, 248}, {85, 122}, {129, 174}, {86, 103}, {222, 239}, {218,
235}, {216, 233}, {212, 229}, {88, 105}, {92, 109}, {3, 48}, {221, 238}, {217,
234}, {213, 230}, {91, 104}, {93, 110}, {16, 36}, {220, 232}, {215, 227}, {214,
226}, {147, 167}, {146, 166}, {145, 165}, {144, 164}, {25, 45}, {24, 44}, {19,
39}, {18, 38}, {17, 37}, {94, 106}, {95, 107}, {4, 49}, {222, 235}, {92, 105},
{78, 120}, {207, 249}, {206, 248}, {5, 50}, {221, 234}, {211, 228}, {91, 108},
{93, 101}, {223, 231}, {220, 228}, {219, 227}, {218, 226}, {94, 102}, {95, 103},
{76, 118}, {207, 245}, {206, 244}, {202, 240}, {201, 243}, {77, 119}, {79, 116},
{20, 40}, {219, 231}, {150, 170}, {149, 169}, {148, 168}, {23, 43}, {22, 42},
{21, 41}, {89, 101}, {90, 102}, {204, 241}, {216, 229}, {16, 46}, {203, 245},
{202, 244}, {145, 175}, {144, 174}, {77, 115}, {76, 114}, {17, 47}, {79, 112},
{217, 230}, {205, 242}, {87, 104}, {51, 99}, {177, 225}, {176, 224}, {52, 100},
{53, 96}, {55, 98}, {54, 97}, {51, 83}, {191, 223}, {188, 220}, {187, 219},
{186, 218}, {183, 215}, {182, 214}, {181, 213}, {178, 210}, {177, 209}, {176,
208}, {63, 95}, {62, 94}, {61, 93}, {58, 90}, {57, 89}, {56, 88}, {53, 85}, {52,
84}, {171, 200}, {36, 65}, {189, 216}, {166, 195}, {55, 82}, {46, 75}, {38, 64},
{174, 200}, {167, 193}, {166, 192}, {47, 73}, {46, 72}, {39, 65}, {54, 81},
{190, 217}, {40, 64}, {175, 199}, {174, 198}, {173, 197}, {172, 196}, {170,
194}, {169, 193}, {168, 192}, {47, 71}, {45, 69}, {44, 68}, {43, 67}, {42, 66},
{57, 80}, {191, 214}, {187, 210}, {61, 84}, {41, 67}, {173, 199}, {172, 198},
{169, 195}, {168, 194}, {44, 70}, {60, 87}, {186, 209}, {184, 211}, {180, 223},
{175, 196}, {62, 85}, {59, 86}, {185, 212}, {179, 222}, {42, 68}, {190, 208},
{171, 197}, {63, 81}, {43, 69}, {41, 70}, {178, 221}, {45, 66}, {60, 78}, {189,
207}, {188, 206}, {185, 203}, {184, 202}, {50, 71}, {58, 76}, {59, 77}, {56,
79}, {48, 72}, {50, 74}, {49, 73}, {181, 204}, {48, 74}, {49, 75}, {180, 207},
{182, 205}, {179, 206}, {183, 201}, {127, 172}, {126, 171}, {105, 136}, {115,
146}, {126, 156}, {127, 157}, {110, 141}, {104, 140}, {106, 142}, {107, 143},
{112, 148}, {113, 149}, {114, 150}, {21, 240}, {104, 143}, {5, 236}, {103, 142},
{14, 228}, {15, 229}, {102, 141}, {1, 237}, {3, 239}, {2, 238}, {101, 137},
{102, 138}, {103, 139}, {11, 230}, {111, 130}, {12, 226}, {13, 227}, {3, 242},
{9, 248}, {7, 246}, {5, 244}, {114, 128}, {115, 129}, {118, 132}, {119, 133},
{122, 136}, {123, 137}, {2, 241}, {24, 235}, {16, 227}, {10, 249}, {116, 135},
{1, 245}, {14, 250}, {13, 249}, {12, 248}, {7, 243}, {6, 242}, {4, 240}, {101,
145}, {17, 228}, {19, 230}, {117, 128}, {119, 130}, {121, 140}, {17, 231}, {25,
239}, {24, 238}, {20, 226}, {117, 131}, {124, 138}, {125, 139}, {4, 243}, {18,
229}, {118, 129}, {15, 246}, {105, 144}, {107, 146}, {109, 148}, {18, 232}, {23,
237}, {22, 236}, {19, 233}, {10, 241}, {16, 235}, {110, 149}, {124, 135}, {6,
250}, {11, 247}, {9, 245}, {8, 244}, {106, 150}, {108, 144}, {109, 145}, {111,
147}, {21, 232}, {23, 234}, {121, 132}, {123, 134}, {20, 234}, {25, 231}, {120,
134}, {125, 131}, {8, 247}, {22, 233}, {108, 147}, {122, 133} }>;
(II) A more general form is to represent the graph as the orbit of {200, 202}
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)(202, 205)(203,
204)(206, 221)(207, 225)(208, 224)(209, 223)(210, 222)(211, 216)(212, 220)(213,
219)(214, 218)(215, 217)(227, 230)(228, 229)(231, 246)(232, 250)(233, 249)(234,
248)(235, 247)(236, 241)(237, 245)(238, 244)(239, 243)(240, 242) (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, 225)(226, 227, 228, 229, 230)(231, 232, 233, 234,
235)(236, 237, 238, 239, 240)(241, 242, 243, 244, 245)(246, 247, 248, 249,
250)
c: (2, 125, 18, 175)(3, 219, 10, 69)(4, 63, 22, 213)(5, 157, 14, 107)(6, 163,
20, 113)(8, 101, 24, 151)(9, 225, 11, 75)(12, 169, 21, 119)(15, 201, 17, 51)(16,
207, 23, 57)(26, 133, 226, 149)(27, 246, 243, 37)(28, 89, 235, 180)(29, 177,
247, 93)(30, 45, 239, 231)(31, 46, 245, 237)(32, 139, 232, 130)(33, 227, 249,
43)(34, 95, 236, 181)(35, 183, 228, 99)(36, 189, 234, 80)(38, 145, 238, 131)(39,
233, 230, 49)(40, 96, 242, 187)(41, 77, 248, 193)(42, 195, 240, 81)(44, 146,
244, 137)(47, 83, 229, 199)(48, 196, 241, 87)(50, 127, 250, 143)(52, 122, 218,
154)(53, 209, 210, 61)(54, 66, 222, 223)(55, 153, 214, 110)(56, 159, 220,
111)(58, 103, 224, 160)(59, 215, 211, 67)(60, 72, 203, 204)(62, 165, 221,
117)(64, 109, 205, 161)(65, 216, 217, 73)(68, 166, 202, 123)(70, 115, 206,
167)(71, 116, 212, 173)(74, 172, 208, 104)(76, 142, 176, 140)(78, 79, 185,
197)(82, 148, 182, 141)(84, 85, 186, 178)(86, 192, 184, 90)(88, 129, 188,
147)(91, 92, 198, 190)(94, 135, 194, 128)(97, 98, 179, 191)(100, 136, 200,
134)(102, 124, 168, 158)(105, 174, 164, 108)(106, 155, 170, 114)(112, 156, 171,
120)(118, 162, 152, 121)
d: (1, 26, 51, 76, 101, 126, 151, 176, 201, 226)(2, 49, 64, 87, 121, 130, 158,
193, 220, 231)(3, 42, 72, 98, 116, 129, 165, 185, 209, 236)(4, 40, 60, 84, 111,
128, 167, 197, 223, 241)(5, 33, 68, 95, 106, 127, 174, 189, 212, 246)(6, 27, 74,
89, 112, 146, 155, 183, 218, 245)(7, 50, 57, 100, 107, 150, 157, 200, 207,
250)(8, 43, 70, 81, 102, 149, 164, 187, 221, 230)(9, 36, 53, 92, 122, 148, 166,
179, 215, 235)(10, 34, 61, 78, 117, 147, 173, 191, 204, 240)(11, 28, 67, 97,
123, 141, 154, 190, 210, 234)(12, 46, 55, 83, 118, 145, 156, 177, 224, 239)(13,
44, 63, 94, 113, 144, 163, 194, 213, 244)(14, 37, 71, 80, 108, 143, 170, 181,
202, 249)(15, 35, 59, 86, 103, 142, 172, 198, 216, 229)(16, 29, 65, 85, 109,
136, 153, 192, 222, 248)(17, 47, 73, 91, 104, 140, 160, 184, 211, 228)(18, 45,
56, 77, 124, 139, 162, 196, 205, 233)(19, 38, 69, 88, 119, 138, 169, 188, 219,
238)(20, 31, 52, 99, 114, 137, 171, 180, 208, 243)(21, 30, 58, 93, 120, 131,
152, 199, 214, 237)(22, 48, 66, 79, 115, 135, 159, 186, 203, 242)(23, 41, 54,
90, 110, 134, 161, 178, 217, 247)(24, 39, 62, 96, 105, 133, 168, 195, 206,
227)(25, 32, 75, 82, 125, 132, 175, 182, 225, 232)
C4[ 250, 12 ]
250
-1 46 245 237 31
-2 47 238 32 241
-3 33 242 48 239
-4 34 243 49 240
-5 35 244 236 50
-6 242 36 26 250
-7 243 37 246 27
-8 244 38 247 28
-9 245 39 248 29
-10 40 249 30 241
-11 247 41 31 230
-12 226 248 42 32
-13 33 227 249 43
-14 44 34 228 250
-15 45 35 246 229
-16 46 36 235 227
-17 231 47 37 228
-18 232 48 38 229
-19 233 49 39 230
-20 234 50 226 40
-21 232 26 41 240
-22 233 27 236 42
-23 234 28 237 43
-24 44 235 29 238
-25 231 45 30 239
-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 99 27 83 30
-52 100 26 28 84
-53 27 29 85 96
-54 81 28 30 97
-55 26 82 29 98
-56 88 35 79 32
-57 33 89 80 31
-58 34 90 32 76
-59 33 77 35 86
-60 34 78 31 87
-61 37 93 40 84
-62 36 38 94 85
-63 37 81 39 95
-64 91 38 82 40
-65 36 92 39 83
-66 45 89 42 98
-67 99 90 41 43
-68 44 100 42 86
-69 45 96 43 87
-70 44 88 41 97
-71 78 47 50 94
-72 46 79 48 95
-73 47 80 91 49
-74 48 92 50 76
-75 77 46 49 93
-76 58 114 74 118
-77 59 115 75 119
-78 111 60 71 120
-79 56 112 72 116
-80 57 113 73 117
-81 123 63 119 54
-82 55 124 64 120
-83 125 116 51 65
-84 121 61 117 52
-85 122 62 118 53
-86 68 124 59 103
-87 69 125 60 104
-88 121 56 70 105
-89 66 122 57 101
-90 67 123 58 102
-91 104 73 64 108
-92 105 74 65 109
-93 110 101 61 75
-94 102 71 62 106
-95 103 72 63 107
-96 69 113 53 109
-97 110 70 114 54
-98 55 66 115 106
-99 67 111 51 107
-100 68 112 52 108
-101 89 145 93 137
-102 90 94 138 141
-103 95 139 86 142
-104 143 91 140 87
-105 88 144 92 136
-106 94 150 98 142
-107 99 143 146 95
-108 100 144 91 147
-109 145 92 148 96
-110 93 149 97 141
-111 99 78 147 130
-112 100 79 126 148
-113 80 127 149 96
-114 128 150 97 76
-115 77 146 129 98
-116 79 135 83 127
-117 80 84 128 131
-118 132 85 129 76
-119 77 133 81 130
-120 78 134 82 126
-121 88 132 84 140
-122 89 133 136 85
-123 90 134 81 137
-124 135 82 138 86
-125 83 139 87 131
-126 112 156 171 120
-127 113 157 116 172
-128 114 158 117 173
-129 115 159 118 174
-130 111 160 119 175
-131 125 117 161 151
-132 121 118 162 152
-133 122 119 163 153
-134 154 123 120 164
-135 165 155 124 116
-136 122 166 156 105
-137 101 123 167 157
-138 102 124 168 158
-139 103 125 169 159
-140 121 104 170 160
-141 110 102 171 161
-142 103 106 172 162
-143 104 107 173 163
-144 105 108 174 164
-145 165 101 109 175
-146 166 115 107 151
-147 111 167 108 152
-148 112 168 109 153
-149 110 154 113 169
-150 155 114 170 106
-151 177 146 180 131
-152 132 176 178 147
-153 133 177 179 148
-154 134 178 180 149
-155 176 135 179 150
-156 136 126 182 185
-157 137 181 127 183
-158 138 182 128 184
-159 139 183 129 185
-160 181 140 184 130
-161 187 190 141 131
-162 132 188 142 186
-163 143 187 133 189
-164 144 188 134 190
-165 145 189 135 186
-166 146 136 192 195
-167 147 191 137 193
-168 148 192 138 194
-169 149 193 139 195
-170 191 150 194 140
-171 200 126 141 197
-172 198 127 196 142
-173 143 199 128 197
-174 198 144 200 129
-175 199 145 130 196
-176 155 224 152 208
-177 209 225 151 153
-178 154 210 221 152
-179 155 222 206 153
-180 154 223 151 207
-181 157 213 160 204
-182 156 158 214 205
-183 157 201 159 215
-184 211 158 202 160
-185 156 212 159 203
-186 165 209 162 218
-187 210 161 163 219
-188 220 162 206 164
-189 165 216 163 207
-190 161 217 164 208
-191 167 223 170 214
-192 166 168 224 215
-193 167 211 169 225
-194 221 168 212 170
-195 166 222 169 213
-196 203 172 175 219
-197 220 171 204 173
-198 172 205 216 174
-199 201 173 217 175
-200 202 171 174 218
-201 199 243 183 239
-202 200 244 184 240
-203 245 236 185 196
-204 181 237 197 241
-205 198 242 182 238
-206 188 244 179 248
-207 189 245 180 249
-208 176 190 250 241
-209 242 177 246 186
-210 187 243 178 247
-211 193 249 184 228
-212 194 250 185 229
-213 246 181 195 230
-214 191 247 182 226
-215 192 248 183 227
-216 198 189 233 229
-217 199 190 234 230
-218 200 235 226 186
-219 187 231 227 196
-220 188 232 228 197
-221 178 234 194 238
-222 179 235 195 239
-223 231 180 191 240
-224 176 232 192 236
-225 177 233 193 237
-226 12 214 20 218
-227 13 16 215 219
-228 220 211 14 17
-229 212 15 18 216
-230 11 213 19 217
-231 25 223 17 219
-232 220 224 18 21
-233 22 225 216 19
-234 23 221 217 20
-235 24 222 16 218
-236 22 224 5 203
-237 1 23 225 204
-238 221 2 24 205
-239 222 3 25 201
-240 223 4 202 21
-241 2 204 10 208
-242 209 3 6 205
-243 210 201 4 7
-244 202 5 8 206
-245 1 203 9 207
-246 209 15 213 7
-247 11 210 214 8
-248 12 215 206 9
-249 13 211 207 10
-250 14 212 6 208
0