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