Graph forms
for C4 [ 208, 16 ] =
PL(MC3(8,13,1,12,5,0,1),[8^13,26^4])
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On this page are computer-accessible forms for the graph C4[ 208, 16 ] =
PL(MC3(8,13,1,12,5,0,1),[8^13,26^4]).
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {98, 106}, {100, 108}, {97, 107}, {103, 109}, {101, 110}, {100,
105}, {97, 112}, {102, 119}, {101, 115}, {96, 121}, {98, 123}, {102, 122}, {96,
126}, {103, 120}, {85, 116}, {84, 112}, {94, 122}, {90, 124}, {88, 127}, {95,
120}, {90, 125}, {91, 115}, {70, 111}, {94, 119}, {83, 121}, {83, 126}, {92,
113}, {86, 123}, {92, 114}, {76, 124}, {89, 105}, {76, 125}, {70, 116}, {95,
109}, {75, 127}, {89, 108}, {91, 110}, {77, 117}, {85, 111}, {77, 118}, {78,
114}, {86, 106}, {78, 113}, {84, 107}, {42, 105}, {44, 111}, {43, 110}, {44,
106}, {46, 105}, {61, 117}, {61, 118}, {45, 125}, {42, 121}, {45, 122}, {46,
121}, {36, 124}, {55, 111}, {36, 120}, {55, 106}, {13, 109}, {16, 113}, {28,
125}, {26, 120}, {26, 124}, {28, 122}, {16, 119}, {4, 108}, {25, 115}, {27,
112}, {3, 108}, {27, 116}, {2, 114}, {14, 126}, {6, 118}, {4, 117}, {1, 114},
{25, 109}, {14, 123}, {3, 117}, {29, 107}, {24, 110}, {7, 126}, {12, 119}, {15,
116}, {7, 123}, {23, 107}, {2, 127}, {12, 113}, {1, 127}, {13, 115}, {8, 118},
{15, 112}, {1, 129}, {47, 175}, {39, 167}, {3, 131}, {59, 187}, {68, 196}, {74,
202}, {79, 207}, {39, 166}, {63, 190}, {50, 176}, {79, 205}, {5, 134}, {53,
182}, {31, 156}, {23, 148}, {20, 151}, {57, 186}, {63, 188}, {67, 192}, {5,
129}, {72, 204}, {5, 128}, {53, 176}, {45, 168}, {42, 175}, {41, 172}, {25,
156}, {21, 144}, {56, 189}, {67, 197}, {74, 204}, {1, 134}, {87, 208}, {3, 132},
{57, 190}, {65, 198}, {72, 207}, {11, 131}, {71, 207}, {14, 135}, {34, 171},
{29, 148}, {25, 144}, {65, 200}, {5, 143}, {34, 168}, {32, 170}, {27, 145}, {8,
130}, {67, 201}, {71, 205}, {73, 194}, {44, 160}, {45, 161}, {73, 197}, {8,
133}, {19, 158}, {58, 183}, {62, 179}, {68, 201}, {29, 147}, {40, 166}, {35,
173}, {32, 174}, {64, 206}, {11, 132}, {31, 144}, {6, 150}, {46, 190}, {64,
208}, {81, 193}, {15, 158}, {21, 135}, {51, 161}, {50, 160}, {46, 188}, {27,
137}, {11, 152}, {24, 139}, {9, 157}, {82, 198}, {18, 135}, {86, 195}, {35,
182}, {21, 128}, {60, 169}, {60, 170}, {29, 138}, {41, 177}, {38, 191}, {7,
157}, {47, 181}, {21, 143}, {59, 161}, {82, 200}, {20, 143}, {51, 168}, {34,
185}, {44, 176}, {87, 203}, {55, 171}, {62, 162}, {8, 150}, {39, 185}, {18,
141}, {95, 192}, {42, 181}, {12, 172}, {43, 139}, {37, 133}, {56, 152}, {54,
151}, {6, 164}, {48, 146}, {56, 155}, {22, 178}, {40, 140}, {23, 179}, {54,
146}, {37, 128}, {43, 142}, {63, 154}, {15, 169}, {51, 149}, {63, 153}, {37,
130}, {33, 137}, {38, 142}, {36, 140}, {30, 183}, {13, 167}, {30, 180}, {28,
182}, {14, 165}, {60, 151}, {10, 166}, {24, 180}, {54, 154}, {11, 166}, {16,
189}, {61, 144}, {13, 163}, {49, 159}, {35, 141}, {20, 187}, {24, 183}, {22,
185}, {10, 186}, {40, 152}, {33, 145}, {26, 170}, {9, 184}, {28, 173}, {17,
163}, {22, 164}, {10, 185}, {41, 154}, {60, 143}, {6, 178}, {47, 155}, {26,
174}, {10, 191}, {53, 128}, {23, 162}, {17, 167}, {18, 165}, {58, 141}, {2,
186}, {40, 145}, {43, 146}, {19, 169}, {47, 149}, {39, 157}, {35, 153}, {61,
135}, {36, 159}, {58, 134}, {2, 191}, {49, 140}, {12, 177}, {41, 151}, {52,
138}, {48, 142}, {54, 136}, {4, 187}, {7, 184}, {55, 136}, {66, 130}, {98, 162},
{68, 132}, {76, 142}, {94, 156}, {78, 140}, {80, 147}, {103, 164}, {81, 149},
{100, 160}, {93, 153}, {80, 149}, {102, 163}, {67, 133}, {104, 174}, {4, 195},
{93, 154}, {9, 193}, {101, 173}, {73, 129}, {65, 136}, {74, 131}, {66, 137},
{103, 172}, {89, 146}, {80, 155}, {80, 156}, {88, 148}, {9, 196}, {94, 147},
{71, 138}, {66, 141}, {81, 158}, {16, 192}, {100, 180}, {97, 177}, {77, 157},
{19, 194}, {89, 136}, {30, 207}, {83, 130}, {30, 204}, {96, 178}, {71, 147},
{85, 129}, {18, 199}, {102, 179}, {17, 198}, {20, 195}, {19, 203}, {97, 184},
{31, 197}, {95, 133}, {83, 137}, {17, 202}, {22, 205}, {66, 153}, {86, 138},
{90, 134}, {31, 194}, {104, 181}, {69, 152}, {69, 155}, {64, 159}, {99, 188},
{75, 148}, {78, 145}, {48, 208}, {91, 187}, {75, 171}, {79, 174}, {38, 196},
{75, 168}, {104, 139}, {81, 178}, {69, 160}, {68, 162}, {101, 131}, {98, 132},
{87, 177}, {73, 175}, {32, 199}, {38, 193}, {74, 173}, {32, 200}, {99, 139},
{88, 176}, {84, 189}, {65, 171}, {77, 167}, {33, 202}, {37, 206}, {33, 204},
{90, 183}, {72, 165}, {62, 208}, {93, 179}, {88, 182}, {34, 205}, {87, 184},
{59, 203}, {62, 206}, {69, 180}, {84, 165}, {51, 193}, {52, 199}, {57, 202},
{76, 191}, {49, 196}, {99, 150}, {92, 169}, {72, 189}, {82, 164}, {92, 170},
{50, 197}, {52, 195}, {49, 201}, {56, 192}, {70, 190}, {59, 194}, {79, 181},
{91, 161}, {85, 175}, {48, 203}, {50, 201}, {53, 206}, {52, 200}, {99, 159},
{64, 188}, {70, 186}, {58, 199}, {82, 172}, {104, 150}, {96, 158}, {93, 163},
{57, 198} }>;
(II) A more general form is to represent the graph as the orbit of {98, 106}
under the group generated by the following permutations:
a: (1, 2, 10, 39, 77, 61, 21, 5)(3, 14, 37, 73, 92, 76, 34, 17)(4, 18, 53, 85,
78, 38, 22, 13)(6, 25, 20, 58, 88, 70, 40, 9)(7, 8, 31, 60, 90, 75, 57, 11)(12,
43, 71, 93, 100, 84, 64, 47)(15, 36, 51, 82, 101, 86, 66, 50)(16, 48, 79, 102,
89, 72, 62, 42)(19, 26, 45, 65, 74, 98, 83, 67)(23, 46, 56, 87, 104, 94, 54,
30)(24, 29, 63, 69, 97, 99, 80, 41)(27, 49, 81, 103, 91, 52, 35, 44)(28, 55, 33,
68, 96, 95, 59, 32)(105, 189, 208, 181, 119, 146, 207, 179)(106, 137, 201, 158,
120, 161, 200, 173)(107, 188, 155, 177, 139, 147, 154, 180)(108, 165, 206, 175,
113, 142, 205, 163)(109, 187, 199, 182, 111, 145, 196, 178)(110, 138, 153, 160,
112, 159, 149, 172)(114, 191, 185, 167, 117, 135, 128, 129)(115, 195, 141, 176,
116, 140, 193, 164)(118, 144, 143, 134, 127, 186, 166, 157)(121, 192, 203, 174,
122, 136, 204, 162)(123, 130, 197, 169, 124, 168, 198, 131)(125, 171, 202, 132,
126, 133, 194, 170)(148, 190, 152, 184, 150, 156, 151, 183) (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: (3, 6)(4, 8)(7, 13)(9, 17)(11, 22)(12, 23)(14, 25)(15, 28)(16, 29)(18,
31)(19, 35)(20, 37)(24, 42)(26, 44)(27, 45)(30, 47)(32, 50)(33, 51)(34, 40)(36,
55)(38, 57)(41, 62)(43, 46)(48, 63)(49, 65)(52, 67)(53, 60)(54, 64)(56, 71)(58,
73)(59, 66)(68, 82)(69, 79)(70, 76)(72, 80)(74, 81)(75, 78)(83, 91)(84, 94)(85,
90)(86, 95)(87, 93)(88, 92)(89, 99)(96, 101)(97, 102)(98, 103)(100, 104)(105,
139)(106, 120)(107, 119)(108, 150)(109, 123)(110, 121)(111, 124)(112, 122)(113,
148)(114, 127)(115, 126)(116, 125)(117, 118)(128, 143)(129, 134)(130, 187)(131,
178)(132, 164)(133, 195)(135, 144)(136, 159)(137, 161)(138, 192)(140, 171)(141,
194)(142, 190)(145, 168)(146, 188)(147, 189)(149, 204)(151, 206)(152, 205)(153,
203)(154, 208)(155, 207)(156, 165)(157, 167)(158, 173)(160, 174)(162, 172)(163,
184)(166, 185)(169, 182)(170, 176)(175, 183)(177, 179)(180, 181)(186, 191)(193,
202)(196, 198)(197, 199)(200, 201)
c: (1, 3)(2, 4)(5, 11)(6, 12)(7, 15)(8, 16)(9, 19)(10, 20)(13, 26)(14, 27)(17,
32)(18, 33)(21, 40)(22, 41)(23, 42)(24, 28)(25, 36)(29, 46)(30, 35)(31, 49)(34,
54)(37, 56)(38, 59)(39, 60)(43, 45)(47, 62)(48, 51)(52, 57)(53, 69)(58, 74)(61,
78)(63, 71)(64, 80)(66, 72)(68, 73)(70, 86)(75, 89)(76, 91)(77, 92)(79, 93)(81,
87)(83, 84)(85, 98)(88, 100)(90, 101)(94, 99)(96, 97)(102, 104)(105, 148)(106,
111)(107, 121)(108, 127)(109, 120)(110, 125)(112, 126)(113, 118)(114, 117)(115,
124)(116, 123)(119, 150)(122, 139)(128, 152)(129, 132)(130, 189)(131, 134)(133,
192)(135, 145)(136, 171)(137, 165)(138, 190)(140, 144)(141, 204)(142, 161)(143,
166)(146, 168)(147, 188)(149, 208)(151, 185)(153, 207)(154, 205)(155, 206)(156,
159)(157, 169)(158, 184)(160, 176)(162, 175)(163, 174)(164, 172)(167, 170)(173,
183)(177, 178)(179, 181)(180, 182)(186, 195)(187, 191)(193, 203)(194, 196)(197,
201)(198, 200)(199, 202)
d: (2, 5)(3, 7, 6, 13)(4, 9, 8, 17)(10, 21)(11, 14, 22, 25)(12, 24, 23, 42)(15,
26, 28, 44)(16, 30, 29, 47)(18, 34, 31, 40)(19, 36, 35, 55)(20, 38, 37, 57)(27,
32, 45, 50)(33, 52, 51, 67)(39, 61)(41, 43, 62, 46)(48, 64, 63, 54)(49, 66, 65,
59)(53, 70, 60, 76)(56, 72, 71, 80)(58, 75, 73, 78)(68, 83, 82, 91)(69, 84, 79,
94)(74, 86, 81, 95)(85, 92, 90, 88)(87, 99, 93, 89)(96, 103, 101, 98)(97, 104,
102, 100)(105, 177, 139, 179)(106, 158, 120, 173)(107, 181, 119, 180)(108, 184,
150, 163)(109, 131, 123, 178)(110, 162, 121, 172)(111, 169, 124, 182)(112, 174,
122, 160)(113, 183, 148, 175)(114, 134, 127, 129)(115, 132, 126, 164)(116, 170,
125, 176)(117, 157, 118, 167)(128, 186, 143, 191)(130, 198, 187, 196)(133, 202,
195, 193)(135, 185, 144, 166)(136, 203, 159, 153)(137, 200, 161, 201)(138, 149,
192, 204)(140, 141, 171, 194)(142, 206, 190, 151)(145, 199, 168, 197)(146, 208,
188, 154)(147, 155, 189, 207)(152, 165, 205, 156)
C4[ 208, 16 ]
208
-1 134 114 127 129
-2 114 191 127 186
-3 132 117 108 131
-4 187 117 195 108
-5 143 134 128 129
-6 178 150 118 164
-7 123 157 126 184
-8 133 150 118 130
-9 157 193 184 196
-10 166 191 185 186
-11 132 166 152 131
-12 177 113 172 119
-13 167 115 163 109
-14 165 123 135 126
-15 112 158 169 116
-16 189 113 192 119
-17 198 167 202 163
-18 165 199 135 141
-19 158 169 203 194
-20 143 187 151 195
-21 143 144 135 128
-22 178 205 185 164
-23 179 148 107 162
-24 110 180 139 183
-25 144 156 115 109
-26 124 170 174 120
-27 112 145 137 116
-28 122 125 182 173
-29 147 148 138 107
-30 180 204 183 207
-31 144 156 194 197
-32 199 200 170 174
-33 145 202 137 204
-34 168 171 205 185
-35 182 173 141 153
-36 124 159 140 120
-37 133 128 206 130
-38 191 193 196 142
-39 166 167 157 185
-40 166 145 140 152
-41 154 177 172 151
-42 121 181 105 175
-43 110 146 139 142
-44 176 111 160 106
-45 122 168 125 161
-46 121 188 190 105
-47 155 181 149 175
-48 146 203 142 208
-49 201 159 140 196
-50 176 201 160 197
-51 168 149 193 161
-52 199 200 138 195
-53 176 182 128 206
-54 154 146 136 151
-55 111 136 171 106
-56 155 189 192 152
-57 198 190 202 186
-58 199 134 183 141
-59 187 203 161 194
-60 143 169 170 151
-61 144 135 117 118
-62 179 162 206 208
-63 154 188 190 153
-64 188 159 206 208
-65 198 200 136 171
-66 137 130 141 153
-67 133 201 192 197
-68 132 201 162 196
-69 155 180 160 152
-70 111 190 116 186
-71 147 138 205 207
-72 165 189 204 207
-73 194 129 175 197
-74 202 204 173 131
-75 168 148 127 171
-76 124 125 191 142
-77 167 157 117 118
-78 145 113 114 140
-79 181 205 174 207
-80 155 156 147 149
-81 178 158 149 193
-82 198 200 172 164
-83 121 126 137 130
-84 165 112 189 107
-85 111 116 129 175
-86 123 138 106 195
-87 177 203 184 208
-88 176 148 127 182
-89 146 136 105 108
-90 134 124 125 183
-91 110 187 115 161
-92 113 114 169 170
-93 154 179 163 153
-94 122 156 147 119
-95 133 192 109 120
-96 121 178 158 126
-97 177 112 107 184
-98 132 123 106 162
-99 188 159 139 150
-100 180 105 160 108
-101 110 115 173 131
-102 122 179 119 163
-103 172 109 120 164
-104 181 139 150 174
-105 89 100 46 42
-106 44 55 86 98
-107 23 29 84 97
-108 89 100 3 4
-109 13 25 103 95
-110 24 101 91 43
-111 44 55 70 85
-112 15 27 84 97
-113 12 78 92 16
-114 1 78 2 92
-115 13 101 25 91
-116 15 70 27 85
-117 77 3 4 61
-118 77 6 61 8
-119 12 102 16 94
-120 36 26 103 95
-121 46 83 96 42
-122 45 102 28 94
-123 14 7 86 98
-124 90 36 26 76
-125 45 90 28 76
-126 14 83 7 96
-127 88 1 2 75
-128 37 5 53 21
-129 1 5 73 85
-130 66 37 83 8
-131 11 101 3 74
-132 11 68 3 98
-133 67 37 95 8
-134 1 90 58 5
-135 14 61 18 21
-136 55 89 54 65
-137 33 66 27 83
-138 71 29 52 86
-139 99 24 104 43
-140 78 36 49 40
-141 66 35 58 18
-142 48 38 43 76
-143 5 60 20 21
-144 25 61 31 21
-145 33 78 27 40
-146 89 48 43 54
-147 80 71 94 29
-148 88 23 29 75
-149 47 80 81 51
-150 99 104 6 8
-151 60 41 20 54
-152 11 56 69 40
-153 66 35 93 63
-154 93 41 63 54
-155 56 47 69 80
-156 25 80 94 31
-157 77 39 7 9
-158 15 81 19 96
-159 99 36 49 64
-160 44 100 69 50
-161 45 91 59 51
-162 23 68 62 98
-163 13 102 93 17
-164 22 103 82 6
-165 14 72 18 84
-166 11 39 40 10
-167 77 13 17 39
-168 34 45 51 75
-169 15 92 60 19
-170 26 92 60 32
-171 55 34 75 65
-172 12 103 82 41
-173 35 101 28 74
-174 79 26 104 32
-175 47 73 85 42
-176 44 88 50 53
-177 12 41 97 87
-178 22 81 6 96
-179 23 102 93 62
-180 100 24 69 30
-181 79 47 104 42
-182 88 35 28 53
-183 24 90 58 30
-184 7 9 97 87
-185 22 34 39 10
-186 2 57 70 10
-187 91 4 59 20
-188 99 46 63 64
-189 56 16 72 84
-190 46 57 70 63
-191 2 38 10 76
-192 56 67 16 95
-193 81 38 51 9
-194 59 73 19 31
-195 4 52 20 86
-196 68 38 49 9
-197 67 50 73 31
-198 57 82 17 65
-199 58 18 52 32
-200 82 52 32 65
-201 67 68 49 50
-202 33 57 17 74
-203 48 59 19 87
-204 33 72 30 74
-205 22 34 79 71
-206 37 62 53 64
-207 79 71 72 30
-208 48 62 64 87
0