Graph forms
for C4 [ 224, 24 ] =
PL(Curtain_28(1,14,2,15,16),[4^28,8^14])
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 224, 24 ] =
PL(Curtain_28(1,14,2,15,16),[4^28,8^14]).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {101, 117}, {107, 121}, {98, 116}, {111, 121}, {110, 121}, {106,
114}, {109, 117}, {108, 116}, {97, 123}, {111, 116}, {101, 121}, {106, 116},
{82, 114}, {85, 117}, {81, 118}, {90, 114}, {93, 117}, {94, 114}, {85, 123},
{69, 118}, {77, 123}, {65, 122}, {69, 123}, {49, 115}, {53, 118}, {61, 118},
{53, 122}, {43, 122}, {34, 119}, {41, 127}, {36, 115}, {34, 122}, {47, 119},
{33, 120}, {36, 120}, {39, 120}, {29, 126}, {24, 124}, {27, 127}, {18, 119},
{25, 113}, {18, 126}, {26, 119}, {22, 120}, {1, 113}, {13, 124}, {12, 126}, {13,
127}, {7, 115}, {4, 113}, {11, 125}, {8, 127}, {5, 125}, {5, 124}, {7, 126}, {1,
125}, {15, 115}, {2, 125}, {14, 113}, {3, 124}, {14, 142}, {83, 211}, {30, 158},
{9, 136}, {91, 218}, {50, 179}, {44, 173}, {3, 129}, {54, 180}, {52, 182}, {44,
174}, {37, 167}, {10, 136}, {46, 173}, {94, 221}, {65, 194}, {52, 176}, {84,
208}, {67, 199}, {4, 129}, {48, 181}, {30, 155}, {37, 163}, {51, 181}, {56,
190}, {6, 129}, {88, 223}, {49, 182}, {9, 142}, {76, 203}, {23, 159}, {104,
224}, {91, 211}, {35, 170}, {88, 209}, {2, 136}, {57, 179}, {62, 180}, {66,
200}, {10, 129}, {49, 186}, {43, 160}, {22, 157}, {70, 205}, {73, 194}, {39,
171}, {92, 208}, {62, 178}, {75, 199}, {19, 158}, {40, 165}, {19, 157}, {45,
163}, {41, 167}, {35, 173}, {71, 201}, {80, 222}, {36, 171}, {58, 181}, {65,
206}, {68, 203}, {69, 202}, {77, 194}, {21, 133}, {89, 201}, {60, 173}, {20,
134}, {85, 199}, {28, 142}, {12, 159}, {38, 181}, {17, 133}, {58, 174}, {28,
137}, {50, 167}, {42, 191}, {55, 162}, {65, 212}, {79, 218}, {81, 196}, {33,
183}, {37, 179}, {72, 222}, {39, 176}, {46, 185}, {67, 212}, {75, 220}, {77,
218}, {81, 201}, {17, 136}, {93, 196}, {57, 160}, {33, 187}, {83, 201}, {48,
170}, {32, 187}, {89, 194}, {87, 204}, {81, 202}, {21, 137}, {47, 179}, {25,
133}, {61, 161}, {73, 213}, {2, 159}, {89, 196}, {86, 203}, {27, 134}, {63,
162}, {64, 221}, {73, 212}, {1, 159}, {36, 186}, {38, 185}, {82, 205}, {69,
218}, {5, 165}, {54, 150}, {24, 184}, {15, 175}, {14, 174}, {6, 166}, {22, 183},
{51, 146}, {45, 140}, {56, 153}, {58, 155}, {9, 171}, {109, 207}, {97, 195},
{62, 156}, {28, 191}, {38, 130}, {42, 142}, {30, 187}, {105, 204}, {32, 133},
{60, 153}, {3, 165}, {97, 199}, {54, 144}, {58, 156}, {8, 175}, {46, 137}, {21,
178}, {9, 174}, {8, 160}, {107, 195}, {103, 207}, {62, 150}, {22, 191}, {98,
203}, {37, 140}, {51, 153}, {105, 195}, {52, 158}, {45, 134}, {100, 207}, {56,
147}, {19, 191}, {48, 156}, {46, 130}, {11, 166}, {105, 196}, {97, 204}, {48,
157}, {13, 160}, {8, 166}, {28, 178}, {21, 187}, {25, 182}, {99, 204}, {49,
158}, {24, 168}, {55, 135}, {11, 186}, {111, 222}, {99, 210}, {32, 146}, {108,
222}, {50, 128}, {3, 176}, {112, 195}, {98, 209}, {35, 144}, {25, 170}, {4,
183}, {63, 140}, {12, 184}, {107, 223}, {38, 146}, {4, 177}, {100, 209}, {85,
224}, {20, 161}, {13, 184}, {60, 137}, {1, 183}, {102, 208}, {101, 211}, {16,
166}, {7, 177}, {6, 176}, {31, 168}, {106, 221}, {55, 128}, {44, 155}, {14,
182}, {42, 146}, {31, 167}, {23, 175}, {16, 168}, {63, 135}, {17, 171}, {104,
210}, {101, 223}, {33, 155}, {27, 161}, {10, 177}, {106, 209}, {17, 170}, {59,
128}, {20, 168}, {110, 210}, {44, 144}, {59, 134}, {111, 210}, {93, 224}, {15,
177}, {110, 208}, {109, 211}, {35, 157}, {5, 186}, {112, 207}, {96, 223}, {95,
224}, {26, 165}, {16, 175}, {7, 184}, {90, 154}, {23, 214}, {84, 149}, {75,
138}, {2, 192}, {86, 148}, {27, 217}, {26, 216}, {64, 130}, {6, 197}, {26, 217},
{67, 128}, {80, 147}, {71, 131}, {82, 150}, {108, 169}, {87, 145}, {75, 140},
{80, 151}, {79, 135}, {67, 138}, {88, 145}, {10, 192}, {94, 148}, {29, 215},
{18, 217}, {105, 162}, {79, 131}, {71, 138}, {11, 197}, {95, 145}, {86, 152},
{76, 130}, {23, 216}, {107, 164}, {102, 169}, {92, 147}, {70, 150}, {84, 132},
{74, 154}, {31, 206}, {68, 149}, {66, 144}, {19, 192}, {64, 147}, {78, 154},
{112, 164}, {20, 193}, {16, 198}, {91, 141}, {74, 156}, {78, 152}, {15, 216},
{18, 197}, {29, 197}, {92, 132}, {66, 154}, {76, 149}, {83, 138}, {12, 214},
{103, 189}, {87, 141}, {29, 193}, {95, 131}, {91, 135}, {88, 132}, {68, 153},
{96, 189}, {72, 149}, {24, 198}, {83, 141}, {31, 193}, {30, 192}, {70, 152},
{72, 151}, {59, 219}, {100, 132}, {61, 220}, {42, 200}, {109, 143}, {52, 214},
{78, 172}, {55, 212}, {108, 143}, {104, 139}, {94, 189}, {90, 185}, {63, 220},
{71, 164}, {34, 198}, {56, 221}, {90, 188}, {41, 206}, {32, 200}, {99, 139},
{84, 188}, {61, 213}, {73, 161}, {40, 193}, {102, 143}, {53, 220}, {47, 198},
{70, 172}, {79, 164}, {104, 131}, {86, 189}, {57, 213}, {103, 139}, {57, 215},
{99, 141}, {77, 163}, {82, 188}, {100, 139}, {40, 216}, {103, 151}, {92, 172},
{43, 219}, {41, 217}, {39, 214}, {96, 145}, {59, 202}, {60, 205}, {102, 148},
{64, 180}, {72, 188}, {74, 190}, {45, 219}, {95, 169}, {78, 185}, {96, 151},
{50, 202}, {74, 178}, {76, 180}, {34, 219}, {47, 213}, {110, 148}, {98, 152},
{89, 163}, {68, 190}, {53, 206}, {43, 215}, {66, 190}, {80, 172}, {51, 205},
{87, 169}, {54, 200}, {40, 215}, {112, 143}, {93, 162} }>;
(II) A more general form is to represent the graph as the orbit of {101, 117}
under the group generated by the following permutations:
a: (72, 84)(80, 92)(86, 98)(88, 96)(94, 106)(100, 103)(102, 108)(110, 111)(116,
148)(132, 151)(189, 209)(208, 222) (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: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 82, 76, 78)(64, 90, 68, 70)(72, 86, 80, 94)(84, 98, 92, 106)(102,
108)(110, 111)(114, 149, 152, 147)(116, 208)(130, 154, 153, 150)(132, 209)(133,
170)(137, 144, 146, 156)(142, 174)(148, 222)(151, 189)(155, 191)(157, 187)(172,
221, 188, 203)(173, 200, 181, 178)(180, 185, 190, 205)
c: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 49)(39, 52)(48, 58)(113,
183)(120, 182)(133, 187)(136, 192)(142, 191)(155, 170)(157, 174)(158, 171)
d: (7, 15)(8, 29, 16, 18)(12, 23)(13, 40, 24, 26)(20, 34, 27, 43)(31, 47, 41,
57)(53, 61)(65, 73)(119, 127, 215, 168)(122, 161)(124, 165)(126, 175)(134,
219)(160, 193, 198, 217)(166, 197)(167, 179)(184, 216)(206, 213)
e: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 70, 64, 78)(68, 82, 76, 90)(86, 94)(98, 106)(114, 203)(130, 154, 153,
150)(133, 170)(137, 144, 146, 156)(142, 174)(147, 172)(149, 188)(152, 221)(155,
191)(157, 187)(173, 200, 181, 178)(180, 185, 190, 205)
f: (53, 65)(55, 81, 67, 69)(61, 73)(63, 89, 75, 77)(71, 85, 79, 93)(83, 97, 91,
105)(101, 107)(109, 112)(117, 164)(118, 212)(123, 135, 196, 138)(128, 202)(131,
224)(140, 163)(141, 204)(162, 201, 199, 218)(194, 220)(195, 211)
g: (71, 83)(79, 91)(85, 97)(87, 95)(93, 105)(99, 104)(101, 107)(109, 112)(117,
195)(131, 141)(164, 211)(204, 224)
h: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 82, 76, 78)(64, 90, 68, 70)(72, 98, 92, 94)(80, 106, 84, 86)(85, 97)(87,
101, 99, 109)(88, 110, 103, 108)(93, 105)(95, 107, 104, 112)(96, 111, 100,
102)(114, 149, 152, 147)(116, 132, 148, 151)(117, 204)(121, 139, 143, 145)(130,
154, 153, 150)(131, 164)(133, 170)(137, 144, 146, 156)(141, 211)(142, 174)(155,
191)(157, 187)(169, 223, 210, 207)(172, 221, 188, 203)(173, 200, 181, 178)(180,
185, 190, 205)(189, 222, 209, 208)(195, 224)
m: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 49)(39, 52)(113, 136)(120,
158)(171, 182)(183, 192)
n1: (87, 99)(88, 100)(95, 104)(96, 103)(101, 109)(102, 110)(107, 112)(108,
111)(121, 143)(139, 145)(169, 210)(207, 223)
a1: (1, 3)(2, 6)(4, 5)(7, 36, 15, 49)(8, 19, 18, 17, 16, 30, 29, 9)(10, 11)(12,
39, 23, 52)(13, 22, 26, 25, 24, 33, 40, 14)(20, 44, 43, 28, 27, 35, 34, 21)(31,
58, 57, 42, 41, 48, 47, 32)(37, 38)(45, 46)(50, 51)(53, 62, 61, 54)(55, 68, 67,
56)(59, 60)(63, 76, 75, 64)(65, 74, 73, 66)(69, 82, 81, 70)(71, 80, 91, 84)(72,
83, 92, 79)(77, 90, 89, 78)(85, 94, 105, 98)(86, 97, 106, 93)(87, 88, 95,
96)(99, 100, 104, 103)(101, 102, 107, 108)(109, 110, 112, 111)(113, 124, 183,
165)(114, 196, 152, 123)(116, 117, 148, 195)(118, 150)(119, 133, 168, 155, 215,
142, 127, 157)(120, 216, 182, 184)(121, 143)(122, 178, 161, 144)(125, 129)(126,
171, 175, 158)(128, 153)(130, 140)(131, 151, 141, 132)(134, 173, 219, 137)(135,
149, 138, 147)(136, 166, 192, 197)(146, 167, 181, 179)(154, 194)(156, 213, 200,
206)(159, 176)(160, 191, 217, 170, 198, 187, 193, 174)(162, 203, 199, 221)(163,
185)(164, 222, 211, 208)(169, 223)(172, 218, 188, 201)(177, 186)(180, 220)(189,
204, 209, 224)(190, 212)(202, 205)(207, 210)
b1: (21, 32)(28, 42)(35, 48)(38, 46)(44, 58)(51, 60)(54, 62)(66, 74)(137,
146)(144, 156)(173, 181)(178, 200)
c1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(49, 52)(115, 176)(124,
184)(125, 159)(126, 165)(129, 177)(166, 175)(186, 214)(197, 216)
d1: (34, 47)(37, 53)(43, 57)(45, 61)(50, 65)(59, 73)(69, 77)(81, 89)(118,
163)(122, 179)(128, 212)(134, 161)(140, 220)(167, 206)(194, 202)(213, 219)
e1: (37, 50)(45, 59)(53, 65)(55, 63)(61, 73)(67, 75)(69, 77)(81, 89)(118,
194)(128, 140)(163, 202)(212, 220)
f1: (38, 51)(46, 60)(54, 66)(56, 64)(62, 74)(68, 76)(70, 78)(82, 90)(130,
153)(150, 154)(180, 190)(185, 205)
g1: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(124, 166)(126,
216)(165, 197)(175, 184)
h1: (56, 68)(64, 76)(70, 82)(72, 80)(78, 90)(84, 92)(86, 94)(98, 106)(114,
152)(147, 149)(172, 188)(203, 221)
m1: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 43)(47, 57)(119,
160)(124, 165)(126, 175)(127, 217)(166, 197)(168, 193)(184, 216)(198, 215)
n2: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 62, 46, 54)(51, 74, 60,
66)(70, 78)(82, 90)(130, 180)(133, 170)(137, 144, 146, 156)(142, 174)(150,
185)(153, 190)(154, 205)(155, 191)(157, 187)(173, 200, 181, 178)
a2: (19, 30)(21, 35, 32, 48)(22, 33)(28, 44, 42, 58)(38, 74, 60, 54)(46, 66, 51,
62)(56, 82, 76, 78)(64, 90, 68, 70)(72, 98, 92, 94)(80, 106, 84, 86)(88, 102,
96, 108)(100, 110, 103, 111)(101, 109)(107, 112)(114, 149, 152, 147)(116, 132,
148, 151)(121, 207)(130, 154, 153, 150)(133, 170)(137, 144, 146, 156)(139,
210)(142, 174)(143, 223)(145, 169)(155, 191)(157, 187)(172, 221, 188, 203)(173,
200, 181, 178)(180, 185, 190, 205)(189, 222, 209, 208)
b2: (20, 31)(27, 41)(34, 47)(37, 45)(43, 57)(50, 59)(53, 61)(65, 73)(122,
213)(134, 167)(161, 206)(179, 219)
c2: (19, 30)(21, 35)(22, 33)(28, 44)(32, 48)(42, 58)(54, 62)(66, 74)(133,
170)(137, 173)(142, 174)(144, 178)(146, 181)(155, 191)(156, 200)(157, 187)
d2: (2, 4)(3, 9)(5, 14)(6, 17)(7, 30, 15, 19)(8, 48, 29, 32, 16, 35, 18, 21)(11,
25)(12, 33, 23, 22)(13, 58, 40, 42, 24, 44, 26, 28)(20, 54, 34, 46, 27, 62, 43,
38)(31, 66, 47, 60, 41, 74, 57, 51)(36, 52)(37, 56, 50, 68)(45, 64, 59, 76)(53,
78, 73, 82)(55, 84, 63, 92)(61, 70, 65, 90)(67, 72, 75, 80)(69, 98, 77, 106)(71,
103)(79, 100)(81, 86, 89, 94)(83, 96)(85, 111)(88, 91)(93, 110)(95, 99)(97,
108)(102, 105)(107, 109)(113, 125)(114, 118, 152, 194)(115, 158)(116, 123)(117,
121)(119, 137, 127, 156, 215, 146, 168, 144)(120, 214)(122, 185, 161, 150)(124,
174, 165, 142)(126, 187, 175, 157)(128, 149, 140, 147)(129, 136)(130, 134, 180,
219)(131, 139)(132, 135)(133, 166, 170, 197)(138, 151)(141, 145)(143, 195)(148,
196)(153, 167, 190, 179)(154, 213, 205, 206)(155, 216, 191, 184)(159, 183)(160,
181, 193, 200, 198, 173, 217, 178)(162, 208)(163, 221, 202, 203)(164, 207)(169,
204)(171, 176)(172, 212, 188, 220)(177, 192)(182, 186)(189, 201)(199, 222)(209,
218)(210, 224)(211, 223)
e2: (53, 65)(55, 69)(61, 73)(63, 77)(67, 81)(75, 89)(85, 93)(97, 105)(118,
212)(123, 162)(128, 202)(135, 218)(138, 201)(140, 163)(194, 220)(196, 199)
f2: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(48, 58)(133,
142)(155, 157)(170, 174)(187, 191)
C4[ 224, 24 ]
224
-1 113 125 159 183
-2 125 136 159 192
-3 165 176 124 129
-4 177 113 183 129
-5 165 124 125 186
-6 176 166 129 197
-7 177 115 126 184
-8 166 127 160 175
-9 136 171 174 142
-10 177 136 192 129
-11 166 125 186 197
-12 126 159 214 184
-13 124 127 160 184
-14 113 182 174 142
-15 177 115 216 175
-16 198 166 168 175
-17 133 136 170 171
-18 126 217 119 197
-19 157 158 191 192
-20 134 168 193 161
-21 187 133 178 137
-22 157 191 183 120
-23 159 214 216 175
-24 198 124 168 184
-25 133 113 170 182
-26 165 216 217 119
-27 134 127 161 217
-28 178 191 137 142
-29 126 193 215 197
-30 187 155 158 192
-31 167 168 193 206
-32 187 133 200 146
-33 187 155 183 120
-34 198 122 119 219
-35 144 157 170 173
-36 115 171 120 186
-37 167 179 140 163
-38 146 181 130 185
-39 176 214 171 120
-40 165 193 215 216
-41 167 127 206 217
-42 200 146 191 142
-43 122 160 215 219
-44 144 155 173 174
-45 134 140 163 219
-46 137 173 130 185
-47 198 179 213 119
-48 156 157 170 181
-49 158 115 182 186
-50 167 179 202 128
-51 146 181 205 153
-52 176 158 214 182
-53 220 122 118 206
-54 144 200 180 150
-55 135 212 128 162
-56 221 190 147 153
-57 179 213 160 215
-58 155 156 181 174
-59 134 202 128 219
-60 137 205 173 153
-61 220 213 161 118
-62 156 178 180 150
-63 220 135 140 162
-64 221 147 180 130
-65 122 212 194 206
-66 154 144 200 190
-67 199 212 138 128
-68 190 203 149 153
-69 123 202 118 218
-70 150 172 205 152
-71 201 138 131 164
-72 188 222 149 151
-73 212 213 161 194
-74 154 156 178 190
-75 220 199 138 140
-76 180 203 149 130
-77 123 194 163 218
-78 154 172 152 185
-79 135 218 131 164
-80 222 147 172 151
-81 201 202 118 196
-82 188 114 150 205
-83 211 201 138 141
-84 132 188 149 208
-85 199 123 224 117
-86 189 148 203 152
-87 145 169 204 141
-88 132 209 145 223
-89 201 194 163 196
-90 154 188 114 185
-91 211 135 141 218
-92 132 147 172 208
-93 224 117 162 196
-94 221 189 114 148
-95 145 169 224 131
-96 145 189 223 151
-97 199 123 204 195
-98 209 203 116 152
-99 210 204 139 141
-100 132 209 139 207
-101 121 211 223 117
-102 143 169 148 208
-103 189 139 151 207
-104 210 224 139 131
-105 204 162 195 196
-106 209 221 114 116
-107 121 223 195 164
-108 143 222 169 116
-109 143 211 117 207
-110 121 210 148 208
-111 121 210 222 116
-112 143 195 207 164
-113 1 14 25 4
-114 90 82 94 106
-115 36 15 49 7
-116 111 106 108 98
-117 101 93 85 109
-118 69 81 61 53
-119 34 47 26 18
-120 22 33 36 39
-121 110 111 101 107
-122 34 53 43 65
-123 77 69 85 97
-124 13 24 3 5
-125 11 1 2 5
-126 12 7 18 29
-127 13 27 8 41
-128 55 67 59 50
-129 3 4 6 10
-130 46 38 64 76
-131 79 71 104 95
-132 88 100 92 84
-133 25 17 21 32
-134 45 59 27 20
-135 55 79 91 63
-136 2 17 9 10
-137 46 60 28 21
-138 67 71 83 75
-139 99 100 103 104
-140 45 37 63 75
-141 99 91 83 87
-142 14 28 9 42
-143 112 102 108 109
-144 44 66 35 54
-145 88 95 96 87
-146 38 51 42 32
-147 56 80 92 64
-148 110 102 94 86
-149 68 72 84 76
-150 70 82 62 54
-151 80 103 72 96
-152 78 70 86 98
-153 56 68 60 51
-154 66 78 90 74
-155 33 44 58 30
-156 58 48 62 74
-157 22 35 48 19
-158 49 19 30 52
-159 1 12 23 2
-160 13 57 8 43
-161 27 61 73 20
-162 55 93 105 63
-163 77 45 89 37
-164 79 112 71 107
-165 3 26 5 40
-166 11 16 6 8
-167 37 50 41 31
-168 24 16 20 31
-169 102 95 108 87
-170 35 25 48 17
-171 36 17 39 9
-172 78 80 70 92
-173 44 35 46 60
-174 44 14 58 9
-175 23 15 16 8
-176 3 6 39 52
-177 4 15 7 10
-178 28 62 74 21
-179 57 47 37 50
-180 62 64 54 76
-181 58 48 38 51
-182 14 25 49 52
-183 22 33 1 4
-184 12 13 24 7
-185 78 46 90 38
-186 11 36 5 49
-187 33 30 21 32
-188 90 82 72 84
-189 103 94 96 86
-190 66 56 68 74
-191 22 28 19 42
-192 2 19 30 10
-193 29 40 20 31
-194 77 89 73 65
-195 112 105 107 97
-196 89 81 93 105
-197 11 6 18 29
-198 34 24 47 16
-199 67 85 75 97
-200 66 42 32 54
-201 89 81 71 83
-202 69 59 81 50
-203 68 86 76 98
-204 99 105 97 87
-205 70 60 82 51
-206 41 31 53 65
-207 100 112 103 109
-208 110 102 92 84
-209 88 100 106 98
-210 99 110 111 104
-211 101 91 83 109
-212 55 67 73 65
-213 57 47 61 73
-214 12 23 39 52
-215 57 29 40 43
-216 23 15 26 40
-217 26 27 18 41
-218 77 79 69 91
-219 34 45 59 43
-220 61 63 53 75
-221 56 94 106 64
-222 111 80 72 108
-223 88 101 96 107
-224 93 104 95 85
0