Graph forms
for C4 [ 216, 70 ] = PL(ATD[6,1]#ATD[27,3])
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On this page are computer-accessible forms for the graph C4[ 216, 70 ] =
PL(ATD[6,1]#ATD[27,3]).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {99, 109}, {103, 116}, {101, 113}, {100, 113}, {107, 113}, {96,
124}, {105, 116}, {82, 115}, {81, 114}, {95, 124}, {92, 120}, {73, 110}, {89,
126}, {82, 117}, {71, 111}, {85, 125}, {84, 126}, {87, 124}, {90, 113}, {83,
126}, {95, 114}, {91, 117}, {66, 109}, {85, 122}, {80, 127}, {64, 112}, {93,
109}, {73, 120}, {92, 110}, {90, 111}, {65, 119}, {64, 121}, {79, 118}, {73,
115}, {68, 127}, {72, 117}, {66, 124}, {77, 114}, {48, 115}, {43, 111}, {50,
122}, {53, 126}, {61, 118}, {62, 117}, {54, 123}, {63, 114}, {50, 125}, {59,
116}, {43, 123}, {59, 111}, {42, 127}, {56, 109}, {36, 115}, {44, 123}, {46,
119}, {41, 118}, {43, 116}, {18, 119}, {9, 110}, {30, 121}, {31, 119}, {17,
125}, {22, 122}, {21, 123}, {30, 112}, {22, 120}, {4, 118}, {8, 122}, {3, 112},
{14, 120}, {14, 121}, {7, 127}, {9, 112}, {6, 125}, {5, 121}, {17, 110}, {10,
138}, {57, 185}, {63, 191}, {6, 135}, {12, 141}, {8, 137}, {79, 206}, {13, 143},
{84, 214}, {11, 136}, {34, 161}, {33, 162}, {26, 153}, {25, 154}, {3, 135}, {10,
142}, {5, 129}, {53, 176}, {81, 212}, {74, 207}, {78, 203}, {50, 180}, {66,
196}, {77, 203}, {1, 137}, {42, 162}, {29, 149}, {20, 156}, {10, 130}, {55,
191}, {6, 143}, {32, 169}, {20, 157}, {8, 129}, {14, 132}, {67, 201}, {11, 128},
{49, 186}, {41, 162}, {35, 168}, {3, 143}, {28, 144}, {4, 136}, {69, 200}, {88,
213}, {75, 198}, {26, 148}, {94, 208}, {50, 188}, {48, 190}, {68, 202}, {7,
136}, {39, 168}, {15, 128}, {65, 206}, {12, 156}, {93, 205}, {89, 201}, {25,
137}, {69, 213}, {33, 176}, {89, 200}, {86, 199}, {37, 180}, {57, 168}, {13,
159}, {83, 193}, {22, 132}, {16, 131}, {52, 167}, {67, 208}, {8, 156}, {63,
170}, {70, 211}, {34, 180}, {51, 165}, {47, 185}, {27, 140}, {53, 162}, {80,
199}, {18, 138}, {51, 171}, {49, 169}, {37, 189}, {26, 130}, {63, 167}, {78,
214}, {1, 152}, {84, 205}, {5, 156}, {58, 163}, {2, 152}, {94, 196}, {47, 181},
{21, 143}, {13, 150}, {27, 128}, {24, 131}, {19, 136}, {58, 161}, {77, 214},
{18, 142}, {27, 134}, {73, 212}, {54, 168}, {95, 193}, {83, 205}, {61, 163},
{62, 160}, {22, 137}, {92, 195}, {45, 178}, {11, 171}, {97, 193}, {48, 144},
{16, 176}, {96, 193}, {106, 203}, {28, 190}, {30, 188}, {29, 191}, {36, 135},
{47, 140}, {60, 159}, {1, 165}, {98, 198}, {49, 149}, {32, 132}, {59, 159}, {12,
169}, {36, 129}, {19, 181}, {102, 192}, {52, 146}, {48, 150}, {56, 158}, {61,
155}, {2, 165}, {99, 196}, {97, 198}, {44, 139}, {39, 128}, {29, 186}, {26,
189}, {4, 163}, {24, 176}, {108, 196}, {99, 203}, {13, 164}, {52, 157}, {47,
134}, {19, 185}, {30, 180}, {15, 164}, {107, 192}, {25, 178}, {57, 146}, {20,
184}, {38, 138}, {32, 141}, {100, 201}, {23, 185}, {23, 184}, {52, 132}, {101,
213}, {55, 135}, {21, 164}, {51, 130}, {44, 157}, {38, 151}, {60, 141}, {32,
146}, {33, 147}, {56, 138}, {20, 167}, {23, 164}, {12, 184}, {100, 208}, {98,
214}, {42, 158}, {31, 171}, {35, 150}, {39, 146}, {3, 181}, {43, 157}, {55,
129}, {59, 141}, {10, 189}, {46, 153}, {45, 154}, {41, 158}, {15, 184}, {60,
139}, {4, 188}, {38, 158}, {19, 171}, {24, 161}, {29, 167}, {104, 210}, {46,
148}, {34, 152}, {31, 165}, {7, 188}, {24, 163}, {61, 134}, {9, 181}, {108,
208}, {35, 159}, {37, 152}, {108, 210}, {2, 194}, {102, 166}, {96, 160}, {87,
151}, {18, 211}, {14, 204}, {83, 145}, {21, 215}, {68, 134}, {76, 142}, {6,
197}, {72, 139}, {82, 150}, {106, 175}, {66, 133}, {104, 175}, {25, 209}, {5,
204}, {93, 148}, {17, 216}, {102, 172}, {103, 173}, {28, 215}, {90, 145}, {86,
154}, {7, 202}, {65, 140}, {2, 204}, {98, 172}, {85, 155}, {11, 197}, {76, 131},
{95, 144}, {1, 209}, {99, 179}, {94, 142}, {91, 139}, {9, 216}, {107, 186}, {31,
206}, {87, 133}, {101, 182}, {17, 197}, {103, 179}, {101, 177}, {86, 130}, {23,
194}, {100, 177}, {69, 147}, {105, 190}, {105, 177}, {103, 190}, {106, 179},
{16, 202}, {86, 140}, {64, 155}, {65, 154}, {78, 149}, {75, 151}, {102, 186},
{77, 144}, {94, 131}, {15, 209}, {104, 182}, {91, 133}, {27, 197}, {16, 207},
{28, 195}, {68, 155}, {75, 148}, {38, 198}, {40, 200}, {45, 204}, {54, 215},
{71, 166}, {79, 174}, {40, 202}, {76, 175}, {92, 191}, {49, 212}, {67, 166},
{72, 173}, {40, 207}, {41, 206}, {70, 161}, {80, 183}, {58, 210}, {62, 215},
{37, 207}, {93, 183}, {91, 177}, {69, 174}, {71, 172}, {44, 192}, {105, 133},
{42, 199}, {71, 170}, {54, 216}, {88, 182}, {85, 187}, {67, 173}, {78, 160},
{45, 194}, {36, 212}, {97, 145}, {90, 170}, {34, 211}, {104, 153}, {98, 147},
{74, 187}, {58, 200}, {97, 147}, {82, 160}, {33, 213}, {51, 199}, {55, 195},
{70, 178}, {56, 205}, {108, 153}, {96, 149}, {88, 173}, {39, 209}, {74, 189},
{89, 174}, {74, 178}, {87, 175}, {84, 172}, {79, 183}, {81, 169}, {40, 210},
{107, 145}, {76, 182}, {35, 216}, {57, 194}, {64, 187}, {72, 179}, {81, 170},
{53, 201}, {60, 192}, {75, 183}, {46, 211}, {106, 151}, {62, 195}, {70, 187},
{80, 174}, {88, 166} }>;
(II) A more general form is to represent the graph as the orbit of {99, 109}
under the group generated by the following permutations:
a: (33, 53)(38, 56)(66, 87)(67, 88)(69, 89)(75, 93)(76, 94)(83, 97)(84, 98)(99,
106)(100, 101)(104, 108)(109, 151)(126, 147)(175, 196)(182, 208)(198, 205)(201,
213) (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: (10, 26)(16, 40)(18, 46)(24, 58)(33, 69)(38, 75)(41, 79)(42, 80)(53, 89)(56,
93)(76, 104)(94, 108)(131, 210)(138, 148)(142, 153)(158, 183)(162, 174)(176,
200)
c: (3, 9)(4, 7)(5, 57)(6, 17)(8, 39)(10, 18)(11, 50)(12, 32)(13, 73)(14, 23)(15,
22)(16, 41)(19, 30)(20, 52)(21, 92)(24, 42)(26, 46)(27, 85)(28, 62)(29, 43)(31,
37)(34, 51)(35, 36)(38, 76)(40, 79)(44, 63)(47, 64)(48, 82)(49, 59)(54, 55)(56,
94)(58, 80)(60, 81)(61, 68)(65, 74)(66, 99)(67, 83)(70, 86)(71, 107)(72, 95)(75,
104)(77, 91)(78, 105)(84, 100)(87, 106)(88, 97)(90, 102)(93, 108)(96, 103)(98,
101)(109, 196)(110, 143)(111, 186)(112, 181)(113, 172)(114, 139)(115, 150)(116,
149)(117, 144)(118, 202)(119, 189)(120, 164)(121, 185)(122, 128)(123, 191)(124,
179)(125, 197)(126, 201)(127, 163)(129, 168)(130, 211)(131, 158)(132, 184)(133,
203)(134, 155)(135, 216)(136, 188)(137, 209)(138, 142)(140, 187)(141, 169)(145,
166)(146, 156)(147, 213)(148, 153)(151, 175)(152, 165)(154, 178)(157, 167)(159,
212)(160, 190)(161, 199)(162, 176)(170, 192)(171, 180)(173, 193)(174, 200)(177,
214)(182, 198)(183, 210)(194, 204)(195, 215)(205, 208)(206, 207)
d: (66, 99)(67, 100)(71, 90)(72, 91)(77, 95)(78, 96)(83, 84)(87, 106)(88,
101)(97, 98)(102, 107)(103, 105)(113, 166)(124, 203)(133, 179)(145, 172)(173,
177)(193, 214)
e: (1, 5)(2, 8)(3, 11)(4, 21, 7, 13)(6, 19)(9, 27)(10, 81, 46, 29)(12, 34, 20,
37)(14, 25)(15, 30)(16, 59, 58, 44)(17, 47)(18, 63, 26, 49)(22, 45)(23, 50)(24,
43, 40, 60)(28, 80, 82, 41)(31, 55, 51, 36)(32, 70, 52, 74)(33, 103, 69, 72)(35,
61, 54, 68)(38, 77, 75, 78)(39, 64)(42, 48, 79, 62)(53, 105, 89, 91)(56, 95, 93,
96)(57, 85)(65, 92, 86, 73)(66, 83)(67, 101)(71, 104, 102, 76)(84, 87)(90, 108,
107, 94)(97, 99)(98, 106)(109, 193)(110, 140)(111, 210, 192, 131)(112, 128)(113,
208)(114, 148, 149, 138)(115, 206, 195, 199)(116, 200, 139, 176)(117, 162, 190,
174)(118, 215, 127, 150)(119, 191, 130, 212)(120, 154)(121, 209)(122, 194)(123,
202, 159, 163)(124, 205)(125, 185)(126, 133)(129, 165)(132, 178)(134, 216)(135,
171)(136, 143)(137, 204)(141, 161, 157, 207)(142, 170, 153, 186)(144, 183, 160,
158)(145, 196)(146, 187)(147, 179)(151, 214)(152, 156)(155, 168)(164, 188)(166,
182)(167, 189, 169, 211)(172, 175)(173, 213)(177, 201)(180, 184)(181, 197)(198,
203)
f: (1, 2)(3, 6)(5, 8)(9, 17)(11, 19)(14, 22)(15, 23)(25, 45)(27, 47)(30, 50)(39,
57)(64, 85)(112, 125)(121, 122)(128, 185)(137, 204)(181, 197)(194, 209)
g: (2, 25)(3, 68, 9, 61)(4, 6, 7, 17)(5, 74, 14, 70)(8, 37, 22, 34)(10, 32, 46,
20)(12, 26, 52, 18)(13, 80, 54, 41)(15, 51, 39, 31)(16, 73, 58, 55)(19, 27)(21,
42, 35, 79)(23, 86, 57, 65)(24, 36, 40, 92)(28, 53, 82, 69)(29, 76, 81, 108)(30,
85)(33, 48, 89, 62)(38, 59, 93, 44)(43, 56, 60, 75)(49, 104, 63, 94)(66, 102,
87, 71)(67, 96, 88, 95)(72, 97, 103, 83)(77, 100, 78, 101)(84, 91, 98, 105)(90,
99, 107, 106)(109, 192, 151, 111)(110, 163, 135, 202)(112, 155)(113, 203)(114,
208, 149, 182)(115, 200, 195, 176)(116, 205, 139, 198)(117, 147, 190, 126)(118,
143, 127, 216)(119, 184, 130, 146)(120, 161, 129, 207)(121, 187)(122, 180)(123,
158, 159, 183)(124, 166)(125, 188)(128, 171)(131, 212, 210, 191)(132, 211, 156,
189)(133, 172)(134, 181)(136, 197)(137, 152)(138, 141, 148, 157)(140, 185)(142,
169, 153, 167)(144, 201, 160, 213)(145, 179)(150, 174, 215, 162)(154, 194)(164,
199, 168, 206)(165, 209)(170, 196, 186, 175)(173, 193)(177, 214)(178, 204)
h: (3, 9)(5, 14)(6, 17)(8, 22)(12, 32)(13, 35)(15, 39)(20, 52)(21, 54)(23,
57)(36, 73)(55, 92)(110, 135)(120, 129)(132, 156)(143, 216)(146, 184)(164,
168)
m: (28, 62)(29, 63)(43, 44)(48, 82)(49, 81)(59, 60)(71, 102)(72, 103)(77,
78)(90, 107)(91, 105)(95, 96)(111, 192)(114, 149)(116, 139)(117, 190)(144,
160)(170, 186)
n1: (12, 20)(13, 21)(28, 48)(29, 49)(32, 52)(35, 54)(36, 55)(43, 59)(44, 60)(62,
82)(63, 81)(73, 92)(115, 195)(123, 159)(141, 157)(150, 215)(167, 169)(191,
212)
a1: (4, 7)(10, 18)(16, 24)(26, 46)(31, 51)(34, 37)(40, 58)(41, 42)(61, 68)(65,
86)(70, 74)(79, 80)(118, 127)(119, 130)(161, 207)(163, 202)(189, 211)(199,
206)
b1: (1, 3)(2, 6)(4, 20)(5, 11)(7, 12)(8, 19)(9, 25)(10, 82)(13, 37)(14, 27)(15,
30)(16, 60)(17, 45)(18, 62)(21, 34)(22, 47)(23, 50)(24, 44)(26, 48)(28, 46)(29,
41)(31, 55)(32, 68)(33, 102)(35, 74)(36, 51)(38, 78)(39, 64)(40, 59)(42, 49)(43,
58)(52, 61)(53, 107)(54, 70)(56, 96)(57, 85)(63, 79)(65, 92)(67, 101)(69,
71)(72, 76)(73, 86)(75, 77)(80, 81)(84, 97)(87, 99)(89, 90)(91, 94)(93, 95)(103,
104)(105, 108)(109, 124)(110, 154)(111, 200)(112, 209)(113, 201)(114, 183)(115,
130)(116, 210)(117, 142)(118, 167)(119, 195)(120, 140)(121, 128)(122, 185)(123,
161)(125, 194)(126, 145)(127, 169)(129, 171)(131, 139)(132, 134)(133, 196)(135,
165)(136, 156)(137, 181)(138, 160)(141, 202)(143, 152)(144, 148)(146, 155)(147,
172)(149, 158)(150, 189)(151, 203)(153, 190)(157, 163)(159, 207)(162, 186)(164,
180)(166, 213)(168, 187)(170, 174)(173, 182)(175, 179)(176, 192)(177, 208)(178,
216)(184, 188)(191, 206)(193, 205)(197, 204)(198, 214)(199, 212)(211, 215)
C4[ 216, 70 ]
216
-1 165 209 137 152
-2 165 204 194 152
-3 143 112 135 181
-4 188 136 118 163
-5 121 156 204 129
-6 143 135 125 197
-7 188 136 202 127
-8 122 156 137 129
-9 110 112 181 216
-10 189 138 130 142
-11 136 171 128 197
-12 156 169 184 141
-13 143 159 150 164
-14 121 132 204 120
-15 209 128 184 164
-16 176 202 207 131
-17 110 125 216 197
-18 211 138 119 142
-19 136 181 171 185
-20 156 167 157 184
-21 143 123 215 164
-22 132 122 137 120
-23 194 184 185 164
-24 176 161 163 131
-25 154 209 178 137
-26 189 148 130 153
-27 134 128 140 197
-28 144 190 215 195
-29 167 191 149 186
-30 121 188 112 180
-31 165 171 206 119
-32 132 146 169 141
-33 176 147 213 162
-34 211 180 161 152
-35 168 159 150 216
-36 135 212 115 129
-37 189 180 152 207
-38 198 158 138 151
-39 209 146 168 128
-40 210 200 202 207
-41 158 118 162 206
-42 199 158 127 162
-43 111 123 157 116
-44 123 157 192 139
-45 154 178 204 194
-46 211 148 119 153
-47 134 181 140 185
-48 144 190 115 150
-49 212 169 149 186
-50 122 188 125 180
-51 165 199 171 130
-52 132 167 146 157
-53 176 201 126 162
-54 123 168 215 216
-55 135 191 129 195
-56 158 138 205 109
-57 146 168 194 185
-58 210 200 161 163
-59 111 159 116 141
-60 159 192 139 141
-61 155 134 118 163
-62 160 215 117 195
-63 167 114 191 170
-64 121 187 155 112
-65 154 140 206 119
-66 133 124 196 109
-67 166 201 173 208
-68 155 134 202 127
-69 200 147 213 174
-70 187 178 211 161
-71 111 166 170 172
-72 179 117 139 173
-73 110 212 115 120
-74 187 178 189 207
-75 198 148 183 151
-76 182 131 142 175
-77 144 114 203 214
-78 203 214 149 160
-79 183 118 206 174
-80 199 127 183 174
-81 212 114 169 170
-82 115 160 117 150
-83 145 126 193 205
-84 126 214 172 205
-85 187 122 155 125
-86 154 199 140 130
-87 133 124 151 175
-88 166 213 182 173
-89 200 201 126 174
-90 111 145 113 170
-91 133 177 117 139
-92 110 191 195 120
-93 148 183 205 109
-94 196 131 142 208
-95 144 124 114 193
-96 124 149 160 193
-97 198 145 147 193
-98 198 147 214 172
-99 179 203 196 109
-100 177 113 201 208
-101 177 113 213 182
-102 166 192 172 186
-103 179 190 116 173
-104 210 182 153 175
-105 133 177 190 116
-106 179 203 151 175
-107 145 113 192 186
-108 210 196 153 208
-109 66 99 56 93
-110 92 17 73 9
-111 90 59 71 43
-112 3 30 9 64
-113 100 90 101 107
-114 77 81 95 63
-115 36 48 82 73
-116 59 103 105 43
-117 91 82 72 62
-118 79 4 61 41
-119 46 18 31 65
-120 22 14 92 73
-121 14 5 30 64
-122 22 50 8 85
-123 44 21 43 54
-124 66 95 96 87
-125 6 17 50 85
-126 89 83 84 53
-127 68 80 7 42
-128 11 15 27 39
-129 55 36 5 8
-130 26 51 86 10
-131 24 16 94 76
-132 22 14 52 32
-133 66 91 105 87
-134 68 47 27 61
-135 55 3 36 6
-136 11 4 7 19
-137 22 1 25 8
-138 56 38 18 10
-139 44 91 60 72
-140 47 27 86 65
-141 12 59 60 32
-142 94 18 10 76
-143 13 3 6 21
-144 77 48 28 95
-145 90 83 107 97
-146 57 39 52 32
-147 33 69 97 98
-148 46 26 93 75
-149 78 49 29 96
-150 13 35 48 82
-151 38 106 75 87
-152 1 34 2 37
-153 46 26 104 108
-154 45 25 86 65
-155 68 61 85 64
-156 12 5 8 20
-157 44 52 20 43
-158 56 38 41 42
-159 13 35 59 60
-160 78 82 62 96
-161 34 24 58 70
-162 33 41 42 53
-163 24 58 4 61
-164 23 13 15 21
-165 1 2 51 31
-166 88 67 102 71
-167 29 52 63 20
-168 35 57 39 54
-169 12 81 49 32
-170 90 81 71 63
-171 11 51 19 31
-172 102 71 84 98
-173 88 67 103 72
-174 89 79 69 80
-175 104 106 76 87
-176 33 24 16 53
-177 100 101 91 105
-178 45 25 70 74
-179 99 103 72 106
-180 34 37 50 30
-181 3 47 19 9
-182 88 101 104 76
-183 79 80 93 75
-184 12 23 15 20
-185 23 57 47 19
-186 102 49 29 107
-187 70 74 85 64
-188 4 50 7 30
-189 26 37 74 10
-190 48 103 28 105
-191 55 92 29 63
-192 44 102 60 107
-193 83 95 96 97
-194 23 45 2 57
-195 55 92 28 62
-196 66 99 94 108
-197 11 27 6 17
-198 38 75 97 98
-199 80 51 42 86
-200 89 58 69 40
-201 67 89 100 53
-202 68 16 7 40
-203 77 99 78 106
-204 45 2 14 5
-205 56 93 83 84
-206 79 41 31 65
-207 37 16 40 74
-208 67 100 94 108
-209 1 25 15 39
-210 58 104 40 108
-211 34 46 70 18
-212 36 81 49 73
-213 33 88 101 69
-214 77 78 84 98
-215 28 62 21 54
-216 35 17 9 54
0