Graph forms
for C4 [ 250, 13 ] = AMC(10,5,[0.2:3.1])
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On this page are computer-accessible forms for the graph C4[ 250, 13 ] =
AMC(10,5,[0.2:3.1]).
(I) Following is a form readable by MAGMA:
g:=Graph<250|{ {97, 101}, {98, 102}, {99, 103}, {24, 29}, {74, 76}, {75, 77},
{120, 126}, {25, 30}, {72, 79}, {224, 232}, {225, 233}, {71, 78}, {198, 207},
{194, 203}, {192, 201}, {96, 105}, {144, 154}, {149, 159}, {148, 158}, {145,
155}, {23, 28}, {197, 206}, {193, 202}, {116, 127}, {100, 104}, {225, 237},
{224, 236}, {22, 27}, {195, 206}, {112, 126}, {147, 157}, {146, 156}, {113,
127}, {21, 26}, {195, 204}, {144, 159}, {100, 116}, {199, 215}, {198, 214},
{197, 213}, {196, 212}, {194, 210}, {193, 209}, {192, 208}, {137, 152}, {143,
158}, {141, 156}, {139, 154}, {64, 82}, {73, 91}, {69, 87}, {68, 86}, {65, 83},
{138, 153}, {142, 157}, {8, 28}, {11, 31}, {10, 30}, {9, 29}, {96, 117}, {170,
191}, {160, 181}, {98, 119}, {40, 62}, {196, 210}, {143, 153}, {142, 152}, {75,
93}, {74, 92}, {40, 63}, {199, 208}, {140, 155}, {72, 95}, {97, 118}, {160,
184}, {167, 191}, {165, 189}, {164, 188}, {163, 187}, {162, 186}, {33, 56},
{200, 209}, {73, 80}, {71, 94}, {67, 90}, {39, 62}, {35, 58}, {34, 56}, {164,
190}, {161, 187}, {141, 151}, {39, 61}, {35, 57}, {32, 59}, {200, 211}, {66,
89}, {64, 91}, {38, 61}, {36, 63}, {34, 57}, {99, 120}, {6, 26}, {32, 60}, {7,
27}, {33, 60}, {65, 92}, {1, 31}, {163, 189}, {162, 188}, {70, 88}, {136, 151},
{165, 186}, {161, 190}, {66, 98}, {68, 100}, {67, 99}, {204, 237}, {214, 247},
{210, 243}, {208, 241}, {2, 32}, {76, 110}, {19, 49}, {18, 48}, {15, 45}, {14,
44}, {11, 41}, {10, 40}, {7, 37}, {6, 36}, {3, 33}, {81, 115}, {79, 108}, {213,
246}, {209, 242}, {205, 238}, {151, 180}, {140, 175}, {83, 112}, {87, 116}, {95,
124}, {128, 163}, {132, 167}, {136, 171}, {31, 59}, {31, 58}, {210, 247}, {156,
185}, {139, 174}, {69, 96}, {78, 107}, {84, 113}, {92, 121}, {94, 123}, {129,
164}, {131, 166}, {137, 172}, {4, 34}, {201, 239}, {159, 185}, {158, 184}, {151,
177}, {20, 50}, {13, 43}, {12, 42}, {5, 35}, {91, 125}, {70, 97}, {209, 246},
{203, 236}, {77, 106}, {85, 114}, {93, 122}, {130, 165}, {138, 173}, {128, 168},
{159, 183}, {158, 182}, {157, 181}, {155, 179}, {154, 178}, {153, 177}, {152,
176}, {129, 169}, {130, 170}, {131, 171}, {132, 172}, {133, 173}, {134, 174},
{135, 175}, {29, 52}, {80, 121}, {30, 52}, {211, 249}, {208, 250}, {157, 183},
{156, 182}, {153, 179}, {152, 178}, {28, 55}, {155, 176}, {30, 53}, {91, 112},
{12, 32}, {27, 55}, {26, 54}, {15, 35}, {14, 34}, {13, 33}, {2, 47}, {27, 54},
{88, 117}, {90, 119}, {92, 113}, {94, 115}, {133, 168}, {135, 170}, {8, 38},
{212, 250}, {154, 180}, {29, 51}, {9, 39}, {86, 120}, {1, 46}, {223, 240}, {215,
248}, {28, 51}, {26, 53}, {89, 118}, {93, 114}, {134, 169}, {85, 101}, {90,
106}, {95, 111}, {145, 160}, {222, 239}, {218, 235}, {216, 233}, {212, 229},
{149, 164}, {147, 162}, {78, 124}, {79, 125}, {3, 48}, {221, 238}, {217, 234},
{213, 230}, {150, 165}, {146, 161}, {16, 36}, {220, 232}, {215, 227}, {214,
226}, {25, 45}, {24, 44}, {19, 39}, {18, 38}, {17, 37}, {4, 49}, {222, 235},
{82, 103}, {88, 109}, {76, 122}, {207, 249}, {206, 248}, {150, 160}, {77, 123},
{5, 50}, {221, 234}, {211, 228}, {148, 163}, {81, 102}, {89, 110}, {218, 226},
{223, 231}, {220, 228}, {219, 227}, {201, 243}, {207, 245}, {206, 244}, {202,
240}, {83, 104}, {87, 108}, {20, 40}, {219, 231}, {23, 43}, {22, 42}, {21, 41},
{80, 109}, {216, 229}, {204, 241}, {82, 111}, {84, 105}, {86, 107}, {16, 46},
{203, 245}, {202, 244}, {17, 47}, {205, 242}, {217, 230}, {51, 99}, {52, 100},
{53, 96}, {55, 98}, {54, 97}, {183, 224}, {184, 225}, {186, 225}, {190, 224},
{51, 83}, {63, 95}, {62, 94}, {61, 93}, {58, 90}, {57, 89}, {56, 88}, {53, 85},
{52, 84}, {177, 211}, {189, 223}, {188, 222}, {185, 219}, {184, 218}, {180,
214}, {171, 200}, {36, 64}, {185, 221}, {47, 75}, {46, 74}, {37, 65}, {37, 64},
{166, 195}, {55, 82}, {47, 74}, {166, 192}, {187, 221}, {179, 213}, {178, 212},
{174, 200}, {167, 193}, {38, 65}, {176, 215}, {54, 81}, {46, 73}, {168, 192},
{175, 199}, {174, 198}, {173, 197}, {172, 196}, {170, 194}, {169, 193}, {43,
66}, {182, 223}, {181, 220}, {178, 219}, {176, 217}, {61, 84}, {57, 80}, {45,
68}, {168, 194}, {173, 199}, {172, 198}, {169, 195}, {60, 87}, {181, 222}, {177,
218}, {175, 196}, {62, 85}, {41, 69}, {180, 216}, {42, 70}, {41, 68}, {59, 86},
{43, 70}, {44, 66}, {183, 217}, {182, 216}, {171, 197}, {63, 81}, {45, 67}, {42,
69}, {179, 220}, {44, 67}, {186, 202}, {191, 207}, {189, 205}, {188, 204}, {187,
203}, {60, 78}, {191, 205}, {49, 71}, {59, 77}, {58, 76}, {48, 71}, {190, 201},
{56, 79}, {49, 72}, {50, 72}, {48, 75}, {50, 73}, {126, 166}, {127, 167}, {127,
162}, {126, 161}, {105, 136}, {115, 146}, {6, 228}, {23, 245}, {22, 244}, {18,
240}, {11, 233}, {7, 229}, {110, 141}, {3, 231}, {19, 247}, {18, 246}, {10,
238}, {9, 237}, {8, 236}, {104, 140}, {106, 142}, {107, 143}, {112, 148}, {113,
149}, {114, 150}, {12, 234}, {21, 243}, {13, 235}, {15, 232}, {104, 143}, {2,
235}, {24, 241}, {16, 249}, {14, 231}, {10, 227}, {6, 239}, {103, 142}, {1,
234}, {25, 242}, {17, 250}, {9, 226}, {102, 141}, {4, 232}, {20, 248}, {5, 233},
{101, 137}, {102, 138}, {103, 139}, {111, 130}, {8, 230}, {21, 229}, {22, 230},
{4, 246}, {5, 247}, {114, 128}, {115, 129}, {118, 132}, {119, 133}, {122, 136},
{123, 137}, {116, 135}, {101, 145}, {23, 226}, {117, 128}, {119, 130}, {121,
140}, {117, 131}, {124, 138}, {125, 139}, {7, 240}, {118, 129}, {1, 248}, {20,
237}, {12, 245}, {3, 250}, {105, 144}, {107, 146}, {109, 148}, {2, 249}, {24,
227}, {110, 149}, {124, 135}, {13, 241}, {15, 243}, {14, 242}, {106, 150}, {108,
144}, {109, 145}, {111, 147}, {25, 228}, {121, 132}, {123, 134}, {16, 238}, {17,
239}, {120, 134}, {125, 131}, {11, 244}, {19, 236}, {108, 147}, {122, 133}
}>;
(II) A more general form is to represent the graph as the orbit of {97, 101}
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, 10, 5, 22)(3, 14, 4, 18)(6, 9, 21, 23)(7, 13, 25, 19)(8, 17, 24, 15)(11,
12, 16, 20)(26, 226)(27, 235, 30, 247)(28, 239, 29, 243)(31, 234, 46, 248)(32,
238, 50, 244)(33, 242, 49, 240)(34, 246, 48, 231)(35, 230, 47, 227)(36, 237, 41,
245)(37, 241, 45, 236)(38, 250, 44, 232)(39, 229, 43, 228)(40, 233, 42, 249)(51,
201)(52, 210, 55, 222)(53, 214, 54, 218)(56, 209, 71, 223)(57, 213, 75, 219)(58,
217, 74, 215)(59, 221, 73, 206)(60, 205, 72, 202)(61, 212, 66, 220)(62, 216, 70,
211)(63, 225, 69, 207)(64, 204, 68, 203)(65, 208, 67, 224)(76, 176)(77, 185, 80,
197)(78, 189, 79, 193)(81, 184, 96, 198)(82, 188, 100, 194)(83, 192, 99,
190)(84, 196, 98, 181)(85, 180, 97, 177)(86, 187, 91, 195)(87, 191, 95, 186)(88,
200, 94, 182)(89, 179, 93, 178)(90, 183, 92, 199)(101, 151)(102, 160, 105,
172)(103, 164, 104, 168)(106, 159, 121, 173)(107, 163, 125, 169)(108, 167, 124,
165)(109, 171, 123, 156)(110, 155, 122, 152)(111, 162, 116, 170)(112, 166, 120,
161)(113, 175, 119, 157)(114, 154, 118, 153)(115, 158, 117, 174)(127, 135, 130,
147)(128, 139, 129, 143)(131, 134, 146, 148)(132, 138, 150, 144)(133, 142, 149,
140)(136, 137, 141, 145)
d: (1, 26, 51, 76, 101, 126, 151, 176, 201, 226)(2, 40, 68, 98, 121, 128, 174,
185, 220, 241, 5, 42, 64, 84, 106, 129, 158, 197, 212, 236)(3, 49, 60, 95, 116,
130, 167, 189, 209, 231, 4, 33, 72, 87, 111, 127, 165, 193, 223, 246)(6, 29, 58,
97, 112, 136, 152, 190, 218, 248, 21, 28, 74, 85, 120, 141, 155, 192, 214,
234)(7, 38, 75, 94, 107, 138, 175, 194, 207, 238, 25, 44, 57, 88, 125, 144, 157,
188, 225, 244)(8, 47, 62, 86, 102, 140, 168, 198, 221, 228, 24, 35, 70, 91, 105,
142, 164, 184, 206, 229)(9, 31, 54, 83, 122, 137, 161, 177, 215, 243, 23, 46,
53, 99, 110, 145, 166, 180, 217, 239)(10, 45, 66, 80, 117, 139, 159, 181, 204,
233, 22, 37, 61, 77, 115, 143, 173, 196, 203, 249)(11, 27, 65, 93, 123, 146,
153, 199, 210, 245, 16, 30, 67, 89, 109, 131, 154, 183, 222, 237)(12, 36, 52,
90, 118, 148, 171, 178, 224, 235, 20, 41, 55, 92, 114, 134, 156, 179, 208,
247)(13, 50, 69, 82, 113, 150, 169, 182, 213, 250, 19, 32, 63, 100, 119, 132,
163, 200, 219, 232)(14, 34, 56, 79, 108, 147, 162, 186, 202, 240, 18, 48, 71,
78, 124, 135, 170, 191, 205, 242)(15, 43, 73, 96, 103, 149, 160, 195, 216, 230,
17, 39, 59, 81, 104, 133, 172, 187, 211, 227)
C4[ 250, 13 ]
250
-1 46 234 248 31
-2 47 235 249 32
-3 33 231 48 250
-4 34 232 246 49
-5 35 233 247 50
-6 36 26 228 239
-7 37 27 229 240
-8 38 236 28 230
-9 39 226 237 29
-10 40 227 238 30
-11 233 244 41 31
-12 234 245 42 32
-13 33 235 43 241
-14 44 231 242 34
-15 45 232 243 35
-16 46 36 238 249
-17 47 37 239 250
-18 48 246 38 240
-19 49 236 247 39
-20 50 237 248 40
-21 243 26 41 229
-22 244 27 42 230
-23 245 28 226 43
-24 44 29 227 241
-25 242 45 30 228
-26 6 53 21 54
-27 22 55 7 54
-28 55 23 51 8
-29 24 51 52 9
-30 25 52 53 10
-31 11 1 58 59
-32 12 2 59 60
-33 56 13 3 60
-34 56 57 14 4
-35 57 58 15 5
-36 16 6 63 64
-37 17 7 64 65
-38 61 18 8 65
-39 61 62 19 9
-40 62 63 20 10
-41 11 68 69 21
-42 22 12 69 70
-43 66 23 13 70
-44 66 67 24 14
-45 67 68 25 15
-46 1 16 73 74
-47 2 17 74 75
-48 3 71 18 75
-49 4 71 72 19
-50 5 72 73 20
-51 99 28 83 29
-52 100 29 84 30
-53 26 30 85 96
-54 26 81 27 97
-55 27 82 28 98
-56 33 88 34 79
-57 34 89 35 80
-58 35 90 31 76
-59 77 31 86 32
-60 33 78 32 87
-61 38 93 39 84
-62 39 94 40 85
-63 36 81 40 95
-64 36 91 37 82
-65 37 92 38 83
-66 44 89 43 98
-67 44 99 45 90
-68 45 100 41 86
-69 41 96 42 87
-70 88 42 97 43
-71 78 48 49 94
-72 79 49 50 95
-73 46 80 91 50
-74 46 47 92 76
-75 77 47 48 93
-76 110 122 58 74
-77 123 59 106 75
-78 124 60 71 107
-79 56 125 72 108
-80 121 57 73 109
-81 102 115 63 54
-82 55 111 103 64
-83 112 104 51 65
-84 113 61 105 52
-85 101 114 62 53
-86 68 59 107 120
-87 69 60 116 108
-88 56 70 117 109
-89 66 110 57 118
-90 67 58 106 119
-91 112 125 73 64
-92 121 113 74 65
-93 122 114 61 75
-94 123 71 115 62
-95 111 124 72 63
-96 69 105 117 53
-97 101 70 118 54
-98 55 66 102 119
-99 67 103 51 120
-100 68 104 116 52
-101 145 137 85 97
-102 81 138 141 98
-103 99 82 139 142
-104 143 100 83 140
-105 144 136 84 96
-106 77 90 150 142
-107 143 78 146 86
-108 144 79 147 87
-109 88 145 80 148
-110 89 149 141 76
-111 147 82 95 130
-112 91 126 148 83
-113 92 127 149 84
-114 93 128 150 85
-115 146 81 94 129
-116 100 135 127 87
-117 88 128 96 131
-118 132 89 129 97
-119 133 90 130 98
-120 99 134 126 86
-121 132 80 92 140
-122 133 136 93 76
-123 77 134 137 94
-124 78 135 138 95
-125 79 91 139 131
-126 166 112 161 120
-127 167 113 116 162
-128 168 114 117 163
-129 169 115 118 164
-130 165 111 170 119
-131 166 125 171 117
-132 121 167 172 118
-133 122 168 173 119
-134 123 169 174 120
-135 124 170 116 175
-136 122 105 171 151
-137 101 123 172 152
-138 102 124 173 153
-139 154 103 125 174
-140 121 155 104 175
-141 110 156 102 151
-142 157 103 106 152
-143 158 104 107 153
-144 154 159 105 108
-145 155 101 160 109
-146 156 115 161 107
-147 111 157 162 108
-148 112 158 163 109
-149 110 113 159 164
-150 165 114 160 106
-151 177 136 180 141
-152 176 178 137 142
-153 143 177 179 138
-154 144 178 180 139
-155 176 145 179 140
-156 146 182 141 185
-157 147 181 183 142
-158 143 148 182 184
-159 144 149 183 185
-160 145 181 150 184
-161 187 146 190 126
-162 188 147 127 186
-163 187 189 148 128
-164 188 190 149 129
-165 189 150 130 186
-166 126 192 195 131
-167 132 191 127 193
-168 133 192 128 194
-169 134 193 129 195
-170 135 191 194 130
-171 200 136 131 197
-172 132 198 137 196
-173 133 199 138 197
-174 198 134 200 139
-175 199 135 140 196
-176 155 215 217 152
-177 211 151 218 153
-178 154 212 152 219
-179 220 155 213 153
-180 154 214 216 151
-181 220 222 157 160
-182 156 223 158 216
-183 157 224 159 217
-184 158 225 160 218
-185 221 156 159 219
-186 165 202 225 162
-187 221 203 161 163
-188 222 204 162 164
-189 165 223 205 163
-190 201 224 161 164
-191 167 170 205 207
-192 166 168 201 208
-193 209 167 169 202
-194 210 168 170 203
-195 166 169 204 206
-196 210 212 172 175
-197 213 171 173 206
-198 214 172 174 207
-199 215 173 175 208
-200 209 211 171 174
-201 243 190 192 239
-202 244 193 240 186
-203 187 245 236 194
-204 188 237 195 241
-205 242 189 191 238
-206 244 248 195 197
-207 198 245 191 249
-208 199 192 250 241
-209 242 200 246 193
-210 243 247 194 196
-211 177 200 249 228
-212 178 250 196 229
-213 179 246 197 230
-214 198 180 247 226
-215 176 199 248 227
-216 233 180 182 229
-217 176 234 183 230
-218 177 235 226 184
-219 231 178 227 185
-220 232 179 181 228
-221 187 234 238 185
-222 188 235 181 239
-223 231 189 182 240
-224 232 190 236 183
-225 233 237 184 186
-226 23 214 9 218
-227 24 215 10 219
-228 220 211 25 6
-229 212 7 216 21
-230 22 213 8 217
-231 3 14 223 219
-232 220 4 15 224
-233 11 5 225 216
-234 1 12 221 217
-235 2 13 222 218
-236 224 203 8 19
-237 225 204 9 20
-238 221 16 205 10
-239 222 201 6 17
-240 223 202 7 18
-241 13 24 204 208
-242 209 14 25 205
-243 210 201 15 21
-244 11 22 202 206
-245 12 23 203 207
-246 209 4 213 18
-247 210 5 214 19
-248 1 215 206 20
-249 2 211 16 207
-250 3 212 17 208
0