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