Graph forms
for C4 [ 208, 18 ] =
PL(Curtain_26(1,13,2,14,15),[4^26,8^13])
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 208, 18 ] =
PL(Curtain_26(1,13,2,14,15),[4^26,8^13]).
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {102, 111}, {96, 110}, {104, 122}, {97, 121}, {99, 122}, {99,
121}, {103, 121}, {102, 121}, {95, 127}, {77, 110}, {88, 127}, {93, 122}, {69,
108}, {90, 112}, {69, 110}, {85, 122}, {79, 127}, {94, 111}, {65, 115}, {66,
112}, {90, 111}, {75, 124}, {71, 127}, {74, 112}, {85, 110}, {81, 108}, {82,
111}, {74, 116}, {78, 112}, {49, 113}, {63, 124}, {48, 116}, {52, 113}, {53,
115}, {62, 116}, {33, 106}, {39, 106}, {59, 118}, {36, 106}, {58, 116}, {36,
107}, {58, 117}, {34, 114}, {34, 115}, {45, 124}, {41, 120}, {61, 108}, {33,
117}, {43, 115}, {37, 124}, {53, 108}, {44, 117}, {49, 107}, {45, 118}, {47,
114}, {18, 114}, {12, 109}, {19, 113}, {20, 118}, {24, 123}, {27, 120}, {15,
107}, {14, 105}, {1, 105}, {26, 114}, {7, 109}, {30, 117}, {7, 107}, {4, 105},
{27, 118}, {16, 125}, {17, 126}, {30, 113}, {8, 120}, {29, 109}, {25, 105}, {5,
119}, {10, 126}, {2, 119}, {13, 120}, {8, 125}, {1, 119}, {13, 123}, {11, 125},
{9, 126}, {3, 123}, {6, 125}, {2, 126}, {22, 106}, {11, 119}, {5, 123}, {18,
109}, {4, 132}, {54, 182}, {52, 180}, {20, 148}, {12, 141}, {54, 183}, {39,
166}, {28, 157}, {78, 207}, {6, 132}, {37, 167}, {36, 166}, {20, 150}, {66,
192}, {34, 161}, {50, 177}, {16, 148}, {42, 174}, {26, 158}, {68, 192}, {72,
204}, {79, 203}, {27, 158}, {53, 176}, {49, 180}, {31, 154}, {47, 169}, {77,
203}, {3, 132}, {47, 167}, {61, 181}, {14, 135}, {62, 183}, {33, 171}, {43,
161}, {38, 172}, {59, 177}, {74, 192}, {22, 157}, {34, 169}, {32, 171}, {31,
148}, {26, 145}, {1, 141}, {57, 181}, {45, 161}, {24, 148}, {18, 158}, {27,
150}, {64, 205}, {9, 135}, {32, 174}, {19, 157}, {10, 132}, {69, 203}, {75,
197}, {2, 141}, {91, 203}, {60, 173}, {3, 145}, {88, 202}, {33, 179}, {25, 139},
{22, 133}, {94, 205}, {5, 145}, {11, 159}, {35, 182}, {95, 202}, {90, 207}, {50,
167}, {19, 133}, {28, 138}, {58, 172}, {93, 202}, {54, 174}, {41, 176}, {5,
159}, {47, 181}, {44, 182}, {23, 141}, {17, 139}, {59, 161}, {74, 208}, {8,
147}, {28, 135}, {48, 172}, {80, 204}, {13, 147}, {57, 167}, {51, 173}, {21,
139}, {21, 138}, {55, 168}, {51, 172}, {85, 202}, {38, 134}, {46, 140}, {6,
165}, {7, 163}, {54, 146}, {46, 138}, {22, 179}, {32, 134}, {35, 133}, {63,
153}, {4, 163}, {7, 160}, {59, 156}, {50, 154}, {10, 163}, {38, 140}, {57, 147},
{32, 139}, {103, 204}, {102, 205}, {55, 156}, {61, 150}, {12, 160}, {42, 134},
{15, 163}, {60, 144}, {62, 146}, {13, 160}, {42, 135}, {25, 180}, {11, 165},
{55, 153}, {50, 156}, {49, 159}, {9, 166}, {99, 204}, {31, 176}, {24, 169}, {56,
137}, {1, 179}, {51, 129}, {35, 144}, {41, 154}, {30, 171}, {55, 130}, {51,
134}, {48, 133}, {45, 152}, {60, 138}, {4, 179}, {42, 157}, {41, 158}, {18,
165}, {17, 166}, {24, 160}, {43, 147}, {29, 165}, {16, 169}, {56, 129}, {40,
145}, {14, 180}, {36, 159}, {44, 144}, {37, 152}, {60, 129}, {63, 130}, {21,
171}, {46, 144}, {37, 154}, {14, 206}, {72, 136}, {76, 140}, {78, 142}, {6,
199}, {101, 164}, {89, 152}, {87, 149}, {10, 201}, {3, 199}, {96, 164}, {93,
153}, {21, 208}, {68, 129}, {83, 149}, {98, 164}, {9, 206}, {104, 175}, {68,
131}, {70, 142}, {83, 155}, {15, 198}, {64, 137}, {2, 201}, {100, 175}, {97,
170}, {72, 131}, {15, 195}, {28, 208}, {64, 140}, {79, 130}, {8, 198}, {91,
149}, {12, 194}, {76, 131}, {17, 193}, {95, 143}, {71, 151}, {75, 155}, {23,
198}, {104, 185}, {94, 143}, {64, 146}, {96, 178}, {92, 142}, {23, 195}, {84,
128}, {23, 194}, {104, 189}, {92, 137}, {29, 200}, {77, 152}, {16, 198}, {30,
201}, {95, 136}, {31, 200}, {84, 131}, {25, 193}, {102, 190}, {88, 128}, {87,
143}, {67, 155}, {79, 151}, {80, 136}, {26, 195}, {97, 184}, {91, 130}, {29,
196}, {80, 137}, {86, 143}, {19, 201}, {96, 186}, {20, 200}, {98, 190}, {92,
128}, {71, 155}, {100, 185}, {103, 186}, {76, 146}, {101, 187}, {100, 186}, {99,
189}, {80, 142}, {67, 156}, {101, 186}, {97, 190}, {87, 136}, {73, 150}, {39,
199}, {40, 200}, {81, 177}, {46, 207}, {73, 168}, {35, 193}, {98, 128}, {89,
187}, {44, 206}, {39, 194}, {90, 191}, {89, 188}, {71, 162}, {82, 183}, {76,
170}, {93, 187}, {91, 189}, {88, 190}, {85, 178}, {94, 185}, {38, 207}, {65,
168}, {81, 187}, {40, 195}, {67, 168}, {70, 173}, {84, 191}, {40, 196}, {66,
174}, {82, 191}, {62, 208}, {86, 184}, {68, 170}, {83, 189}, {43, 196}, {86,
185}, {53, 197}, {103, 151}, {48, 193}, {65, 176}, {67, 178}, {70, 183}, {77,
188}, {83, 162}, {52, 199}, {100, 151}, {92, 175}, {87, 164}, {81, 162}, {58,
206}, {66, 182}, {69, 177}, {56, 205}, {73, 188}, {52, 194}, {78, 184}, {72,
191}, {98, 149}, {56, 192}, {61, 197}, {75, 178}, {63, 197}, {84, 175}, {89,
162}, {73, 181}, {101, 153}, {86, 170}, {57, 196}, {65, 188}, {70, 184}, {82,
173} }>;
(II) A more general form is to represent the graph as the orbit of {102, 111}
under the group generated by the following permutations:
a: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 70, 76, 90)(64, 78, 68, 82)(72, 102, 92, 86)(80, 97, 84, 94)(85, 96)(87,
99, 98, 104)(88, 100, 95, 103)(93, 101)(111, 137, 184, 131)(112, 129, 183,
140)(116, 138, 182, 134)(117, 157)(121, 128, 185, 136)(122, 164)(127, 151)(133,
171)(135, 206)(139, 193)(142, 170, 191, 205)(143, 204, 190, 175)(144, 174, 172,
208)(146, 207, 192, 173)(149, 189)(186, 202) (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, 3)(2, 6)(4, 5)(7, 49)(8, 17, 16, 9)(10, 11)(12, 52)(13, 25, 24, 14)(15,
36)(18, 30, 29, 19)(20, 28, 41, 32)(21, 31, 42, 27)(22, 26, 33, 40)(23, 39)(34,
44, 57, 48)(35, 47, 58, 43)(37, 38, 59, 60)(45, 46, 50, 51)(53, 54, 73, 74)(55,
68, 63, 76)(56, 75, 64, 67)(61, 62, 65, 66)(69, 82, 77, 90)(70, 89, 78, 81)(71,
92)(72, 91)(79, 84)(80, 83)(85, 102)(86, 101)(93, 97)(94, 96)(95, 98)(103,
104)(105, 123)(106, 195)(108, 183, 188, 112)(109, 113)(110, 111)(114, 117, 196,
133)(115, 182, 181, 116)(118, 138, 154, 134)(119, 132)(120, 139, 148, 135)(121,
122)(124, 140, 156, 129)(125, 126)(127, 128)(130, 131)(136, 149)(137, 155)(141,
199)(142, 162)(143, 164)(144, 167, 172, 161)(145, 179)(146, 168, 192, 197)(147,
193, 169, 206)(150, 208, 176, 174)(151, 175)(152, 207, 177, 173)(153, 170)(157,
158, 171, 200)(159, 163)(160, 180)(165, 201)(166, 198)(178, 205)(184, 187)(185,
186)(189, 204)(190, 202)(191, 203)
c: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 70, 76, 90)(64, 78, 68, 82)(72, 94, 80, 86)(84, 102, 92, 97)(99,
104)(100, 103)(111, 137, 184, 131)(112, 129, 183, 140)(116, 138, 182, 134)(117,
157)(121, 175)(128, 190)(133, 171)(135, 206)(136, 143)(139, 193)(142, 170, 191,
205)(144, 174, 172, 208)(146, 207, 192, 173)(185, 204)
d: (34, 47)(37, 53)(43, 57)(45, 61)(50, 65)(59, 73)(69, 77)(81, 89)(108,
152)(115, 167)(118, 150)(124, 197)(154, 176)(156, 168)(161, 181)(177, 188)
e: (2, 4)(3, 9)(5, 14)(6, 17)(7, 19)(8, 32)(11, 25)(12, 22)(13, 42)(15, 30)(16,
21)(18, 48)(20, 46, 31, 60)(23, 33)(24, 28)(26, 58)(27, 38, 41, 51)(29, 35)(34,
62, 47, 74)(36, 52)(37, 56, 59, 76)(40, 44)(43, 54, 57, 66)(45, 64, 50, 68)(53,
70, 73, 90)(55, 84, 63, 92)(61, 78, 65, 82)(67, 72, 75, 80)(69, 97, 77, 102)(71,
95)(79, 88)(81, 86, 89, 94)(83, 87)(85, 103)(91, 98)(93, 100)(96, 99)(101,
104)(105, 119)(106, 194)(107, 113)(108, 184, 188, 111)(109, 133)(110, 121)(112,
115, 183, 181)(114, 116)(117, 195)(118, 140, 154, 129)(120, 134)(122, 186)(123,
135)(124, 137, 156, 131)(125, 139)(126, 132)(128, 130)(136, 155)(138, 148)(141,
179)(142, 168, 191, 197)(143, 162)(144, 200)(145, 206)(146, 167, 192, 161)(147,
174)(150, 207, 176, 173)(151, 202)(152, 205, 177, 170)(153, 175)(157, 160)(158,
172)(159, 180)(163, 201)(164, 189)(165, 193)(166, 199)(169, 208)(171, 198)(178,
204)(182, 196)(185, 187)(190, 203)
f: (38, 51)(46, 60)(54, 66)(56, 64)(62, 74)(68, 76)(70, 78)(82, 90)(112,
183)(129, 140)(146, 192)(173, 207)
g: (72, 84)(80, 92)(86, 97)(87, 98)(88, 95)(94, 102)(99, 104)(100, 103)(121,
185)(128, 136)(143, 190)(175, 204)
h: (56, 68)(64, 76)(70, 82)(72, 80)(78, 90)(84, 92)(86, 94)(97, 102)(111,
184)(131, 137)(142, 191)(170, 205)
m: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(109, 195)(123,
125)(145, 165)(160, 198)
n1: (7, 15)(8, 29, 16, 18)(12, 23)(13, 40, 24, 26)(20, 34, 27, 43)(31, 47, 41,
57)(53, 61)(65, 73)(109, 198)(114, 120, 196, 148)(115, 150)(118, 161)(123,
145)(125, 165)(147, 200, 169, 158)(154, 167)(160, 195)(176, 181)
a1: (53, 65)(55, 69)(61, 73)(63, 77)(67, 81)(75, 89)(85, 93)(96, 101)(108,
168)(110, 153)(124, 152)(130, 203)(155, 162)(156, 177)(178, 187)(188, 197)
b1: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 62, 46, 54)(51, 74, 60,
66)(70, 78)(82, 90)(112, 173)(116, 138, 182, 134)(117, 157)(129, 192)(133,
171)(135, 206)(139, 193)(140, 146)(144, 174, 172, 208)(183, 207)
c1: (71, 83)(79, 91)(85, 96)(87, 95)(88, 98)(93, 101)(99, 103)(100, 104)(122,
186)(127, 149)(151, 189)(164, 202)
d1: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(48, 58)(117,
133)(135, 139)(157, 171)(193, 206)
e1: (21, 32)(28, 42)(35, 48)(38, 46)(44, 58)(51, 60)(54, 62)(66, 74)(116,
182)(134, 138)(144, 172)(174, 208)
f1: (37, 50)(45, 59)(53, 65)(55, 63)(61, 73)(67, 75)(69, 77)(81, 89)(108,
188)(124, 156)(152, 177)(168, 197)
g1: (20, 31)(27, 41)(34, 47)(37, 45)(43, 57)(50, 59)(53, 61)(65, 73)(115,
181)(118, 154)(150, 176)(161, 167)
h1: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 49)(39, 52)(105, 126)(106,
113)(166, 180)(179, 201)
m1: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 82, 64, 90)(68, 70, 76, 78)(72, 80)(84, 92)(111, 205)(112, 129, 183,
140)(116, 138, 182, 134)(117, 157)(131, 142)(133, 171)(135, 206)(137, 191)(139,
193)(144, 174, 172, 208)(146, 207, 192, 173)(170, 184)
n2: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 43)(47, 57)(109,
198)(114, 147)(120, 158)(123, 145)(125, 165)(148, 200)(160, 195)(169, 196)
a2: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(49, 52)(107, 199)(109,
145)(119, 141)(123, 160)(125, 198)(132, 163)(159, 194)(165, 195)
b2: (19, 30)(21, 48)(22, 33)(28, 58)(32, 35)(38, 46)(42, 44)(51, 60)(116,
208)(117, 157)(133, 171)(134, 144)(135, 206)(138, 172)(139, 193)(174, 182)
c2: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 49)(39, 52)(48, 58)(105,
179)(106, 180)(113, 166)(117, 193)(126, 201)(133, 206)(135, 157)(139, 171)
d2: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(53, 65)(55, 81, 67, 69)(56, 70, 76, 90)(61, 73)(63, 89, 75, 77)(64, 78, 68,
82)(71, 85, 91, 101)(72, 102, 92, 86)(79, 93, 83, 96)(80, 97, 84, 94)(87, 103,
88, 104)(95, 99, 98, 100)(108, 168)(110, 130, 187, 155)(111, 137, 184, 131)(112,
129, 183, 140)(116, 138, 182, 134)(117, 157)(121, 128, 185, 136)(122, 149, 186,
127)(124, 152)(133, 171)(135, 206)(139, 193)(142, 170, 191, 205)(143, 204, 190,
175)(144, 174, 172, 208)(146, 207, 192, 173)(151, 202, 189, 164)(153, 162, 178,
203)(156, 177)(188, 197)
C4[ 208, 18 ]
208
-1 179 105 119 141
-2 201 126 119 141
-3 132 199 123 145
-4 132 179 105 163
-5 123 145 159 119
-6 132 165 199 125
-7 160 107 163 109
-8 198 125 147 120
-9 166 135 126 206
-10 132 201 126 163
-11 165 125 159 119
-12 160 194 141 109
-13 123 147 160 120
-14 135 180 105 206
-15 198 107 195 163
-16 198 125 169 148
-17 166 126 193 139
-18 165 114 158 109
-19 133 113 157 201
-20 200 148 150 118
-21 138 171 139 208
-22 133 157 179 106
-23 198 194 195 141
-24 123 169 148 160
-25 180 105 193 139
-26 145 114 158 195
-27 158 150 118 120
-28 135 157 138 208
-29 165 200 196 109
-30 113 201 171 117
-31 154 176 200 148
-32 134 171 139 174
-33 179 171 106 117
-34 114 169 115 161
-35 133 144 182 193
-36 166 159 106 107
-37 154 167 124 152
-38 134 172 140 207
-39 166 199 106 194
-40 145 200 195 196
-41 154 176 158 120
-42 134 135 157 174
-43 147 115 161 196
-44 144 182 117 206
-45 124 161 118 152
-46 144 138 140 207
-47 167 114 169 181
-48 133 116 193 172
-49 113 180 159 107
-50 154 177 156 167
-51 134 172 129 173
-52 199 113 180 194
-53 176 115 108 197
-54 146 182 183 174
-55 156 168 130 153
-56 137 192 205 129
-57 167 147 181 196
-58 116 117 172 206
-59 177 156 161 118
-60 144 138 129 173
-61 181 150 108 197
-62 146 116 183 208
-63 124 130 153 197
-64 146 137 205 140
-65 176 188 168 115
-66 112 192 182 174
-67 155 156 178 168
-68 170 192 129 131
-69 110 177 203 108
-70 183 173 184 142
-71 155 127 151 162
-72 136 191 204 131
-73 188 168 181 150
-74 112 192 116 208
-75 155 178 124 197
-76 146 170 140 131
-77 110 188 203 152
-78 112 184 207 142
-79 203 127 151 130
-80 136 137 204 142
-81 187 177 162 108
-82 111 191 183 173
-83 155 189 149 162
-84 191 128 131 175
-85 110 122 178 202
-86 143 170 184 185
-87 143 136 149 164
-88 190 202 127 128
-89 187 188 162 152
-90 111 112 191 207
-91 189 203 149 130
-92 137 128 142 175
-93 187 122 202 153
-94 143 111 205 185
-95 143 136 202 127
-96 110 178 164 186
-97 121 190 170 184
-98 190 149 128 164
-99 121 122 189 204
-100 151 185 175 186
-101 187 153 164 186
-102 121 111 190 205
-103 121 204 151 186
-104 122 189 185 175
-105 1 14 25 4
-106 22 33 36 39
-107 36 15 49 7
-108 69 81 61 53
-109 12 7 18 29
-110 77 69 85 96
-111 90 102 82 94
-112 66 78 90 74
-113 49 19 30 52
-114 34 47 26 18
-115 34 53 43 65
-116 58 48 62 74
-117 33 44 58 30
-118 45 59 27 20
-119 11 1 2 5
-120 13 27 8 41
-121 99 102 103 97
-122 99 93 104 85
-123 13 24 3 5
-124 45 37 63 75
-125 11 16 6 8
-126 2 17 9 10
-127 88 79 71 95
-128 88 92 84 98
-129 56 68 60 51
-130 55 79 91 63
-131 68 72 84 76
-132 3 4 6 10
-133 22 35 48 19
-134 38 51 42 32
-135 14 28 9 42
-136 80 72 95 87
-137 56 80 92 64
-138 46 60 28 21
-139 25 17 21 32
-140 46 38 64 76
-141 1 12 23 2
-142 78 80 70 92
-143 94 95 86 87
-144 44 35 46 60
-145 3 26 5 40
-146 62 64 54 76
-147 13 57 8 43
-148 24 16 20 31
-149 91 83 87 98
-150 27 61 73 20
-151 100 79 103 71
-152 77 45 89 37
-153 55 101 93 63
-154 37 50 41 31
-155 67 71 83 75
-156 55 67 59 50
-157 22 28 19 42
-158 26 27 18 41
-159 11 36 5 49
-160 12 13 24 7
-161 34 45 59 43
-162 89 81 71 83
-163 4 15 7 10
-164 101 96 87 98
-165 11 6 18 29
-166 36 17 39 9
-167 57 47 37 50
-168 55 67 73 65
-169 34 24 47 16
-170 68 86 97 76
-171 33 30 21 32
-172 58 48 38 51
-173 70 60 82 51
-174 66 42 32 54
-175 100 92 104 84
-176 41 31 53 65
-177 69 59 81 50
-178 67 85 96 75
-179 22 33 1 4
-180 14 25 49 52
-181 57 47 61 73
-182 44 66 35 54
-183 70 82 62 54
-184 78 70 86 97
-185 100 104 94 86
-186 100 101 103 96
-187 89 101 81 93
-188 77 89 73 65
-189 99 91 104 83
-190 88 102 97 98
-191 90 82 72 84
-192 66 56 68 74
-193 35 25 48 17
-194 12 23 39 52
-195 23 15 26 40
-196 57 29 40 43
-197 61 63 53 75
-198 23 15 16 8
-199 3 6 39 52
-200 29 40 20 31
-201 2 19 30 10
-202 88 93 95 85
-203 77 79 69 91
-204 99 80 103 72
-205 56 102 94 64
-206 44 14 58 9
-207 78 46 90 38
-208 28 62 74 21
0