Graph forms
for C4 [ 192, 58 ] =
PL(Curtain_24(1,6,1,2,20),[4^24,8^12])
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On this page are computer-accessible forms for the graph C4[ 192, 58 ] =
PL(Curtain_24(1,6,1,2,20),[4^24,8^12]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 105}, {71, 100}, {86, 117}, {65, 100}, {78, 107}, {68, 98},
{69, 111}, {78, 100}, {70, 107}, {83, 126}, {70, 104}, {74, 122}, {89, 105},
{84, 100}, {90, 104}, {95, 109}, {93, 111}, {75, 120}, {94, 109}, {81, 98}, {71,
115}, {93, 105}, {89, 109}, {72, 126}, {64, 119}, {95, 104}, {64, 120}, {84,
109}, {83, 104}, {79, 115}, {75, 118}, {65, 127}, {81, 111}, {37, 101}, {57,
125}, {61, 121}, {49, 116}, {36, 98}, {42, 108}, {50, 116}, {51, 117}, {53,
115}, {60, 122}, {33, 102}, {41, 110}, {35, 107}, {49, 120}, {60, 117}, {51,
121}, {59, 113}, {50, 121}, {61, 118}, {42, 102}, {48, 124}, {43, 103}, {62,
114}, {43, 122}, {52, 101}, {32, 114}, {34, 119}, {40, 125}, {32, 118}, {43,
125}, {36, 115}, {34, 122}, {47, 119}, {33, 120}, {38, 127}, {44, 118}, {53,
105}, {47, 114}, {59, 102}, {32, 126}, {46, 113}, {52, 107}, {1, 97}, {23, 119},
{14, 110}, {3, 99}, {15, 108}, {26, 121}, {2, 103}, {25, 124}, {20, 113}, {9,
108}, {4, 97}, {5, 99}, {8, 110}, {21, 114}, {2, 106}, {24, 112}, {15, 103}, {9,
97}, {3, 106}, {25, 112}, {1, 106}, {21, 126}, {16, 123}, {8, 99}, {24, 116},
{25, 117}, {7, 106}, {10, 103}, {31, 113}, {12, 124}, {22, 102}, {19, 99}, {18,
98}, {14, 127}, {15, 125}, {27, 111}, {5, 112}, {20, 97}, {16, 101}, {10, 124},
{8, 127}, {22, 110}, {2, 123}, {1, 123}, {14, 116}, {10, 112}, {23, 108}, {6,
123}, {27, 101}, {11, 139}, {13, 141}, {52, 180}, {27, 154}, {65, 192}, {3,
129}, {39, 165}, {28, 158}, {47, 172}, {51, 176}, {5, 129}, {31, 155}, {57,
189}, {37, 163}, {43, 173}, {53, 179}, {22, 158}, {37, 172}, {7, 141}, {29,
150}, {55, 188}, {31, 147}, {63, 178}, {18, 156}, {19, 157}, {58, 180}, {17,
158}, {20, 155}, {17, 129}, {18, 130}, {11, 154}, {30, 143}, {26, 139}, {12,
157}, {54, 167}, {60, 173}, {7, 149}, {48, 162}, {56, 170}, {57, 171}, {62,
172}, {26, 137}, {30, 141}, {61, 174}, {2, 150}, {48, 164}, {31, 139}, {4, 144},
{7, 146}, {44, 185}, {40, 189}, {34, 183}, {23, 130}, {8, 157}, {54, 163}, {56,
173}, {3, 149}, {40, 190}, {22, 128}, {35, 180}, {4, 156}, {39, 191}, {35, 187},
{21, 141}, {33, 184}, {45, 180}, {32, 186}, {38, 188}, {54, 172}, {6, 157}, {24,
131}, {15, 148}, {11, 144}, {57, 162}, {10, 150}, {46, 178}, {19, 143}, {50,
174}, {1, 156}, {13, 144}, {9, 148}, {56, 165}, {4, 154}, {49, 175}, {13, 146},
{48, 175}, {29, 130}, {28, 131}, {55, 168}, {21, 181}, {29, 189}, {23, 183},
{14, 175}, {33, 128}, {29, 191}, {46, 140}, {45, 143}, {39, 133}, {35, 129},
{53, 151}, {59, 152}, {44, 136}, {16, 181}, {41, 140}, {34, 135}, {58, 159},
{52, 146}, {63, 153}, {45, 138}, {42, 130}, {9, 160}, {26, 179}, {25, 176}, {17,
187}, {47, 133}, {30, 181}, {59, 151}, {18, 191}, {5, 171}, {27, 181}, {16,
190}, {12, 162}, {55, 152}, {62, 145}, {50, 131}, {63, 142}, {19, 161}, {42,
152}, {24, 171}, {39, 148}, {36, 151}, {55, 132}, {63, 140}, {13, 185}, {20,
160}, {62, 138}, {49, 132}, {58, 143}, {61, 136}, {41, 159}, {58, 140}, {12,
187}, {41, 158}, {37, 146}, {6, 190}, {36, 156}, {28, 164}, {11, 179}, {46,
151}, {51, 137}, {60, 134}, {44, 144}, {45, 145}, {6, 187}, {40, 149}, {56,
133}, {38, 152}, {54, 136}, {30, 161}, {74, 138}, {89, 153}, {66, 128}, {73,
139}, {67, 135}, {77, 137}, {64, 133}, {73, 142}, {94, 153}, {96, 169}, {84,
159}, {90, 145}, {74, 135}, {87, 153}, {96, 174}, {95, 145}, {93, 147}, {75,
132}, {76, 131}, {79, 128}, {86, 134}, {17, 192}, {68, 149}, {85, 132}, {91,
136}, {79, 155}, {67, 150}, {66, 148}, {80, 135}, {71, 159}, {86, 142}, {87,
142}, {73, 147}, {92, 134}, {82, 137}, {28, 192}, {71, 155}, {87, 138}, {88,
134}, {69, 154}, {80, 176}, {87, 182}, {69, 167}, {77, 175}, {85, 183}, {91,
184}, {68, 160}, {93, 185}, {76, 168}, {77, 169}, {83, 182}, {84, 177}, {38,
192}, {70, 161}, {86, 177}, {76, 164}, {81, 185}, {82, 186}, {67, 170}, {77,
164}, {89, 179}, {72, 163}, {72, 165}, {94, 176}, {95, 177}, {78, 161}, {70,
182}, {90, 170}, {83, 163}, {85, 165}, {75, 186}, {81, 160}, {92, 174}, {65,
178}, {96, 147}, {91, 168}, {88, 171}, {79, 188}, {76, 184}, {82, 167}, {92,
169}, {80, 166}, {90, 173}, {64, 184}, {94, 166}, {73, 177}, {68, 190}, {92,
166}, {88, 162}, {80, 170}, {82, 169}, {74, 182}, {91, 167}, {78, 178}, {66,
191}, {85, 168}, {66, 188}, {88, 166}, {67, 189}, {69, 186}, {72, 183} }>;
(II) A more general form is to represent the graph as the orbit of {96, 105}
under the group generated by the following permutations:
a: (1, 2)(3, 7)(4, 10)(5, 13)(6, 16)(8, 21)(9, 15)(11, 25)(12, 27)(14, 32)(17,
37)(18, 29)(19, 30)(20, 43)(22, 47)(23, 42)(24, 44)(26, 51)(28, 54)(31, 60)(33,
64)(34, 59)(35, 52)(36, 67)(38, 72)(39, 66)(40, 68)(41, 62)(45, 58)(46, 74)(48,
69)(49, 75)(50, 61)(53, 80)(55, 85)(56, 79)(57, 81)(63, 87)(65, 83)(70, 78)(71,
90)(73, 86)(76, 91)(77, 82)(84, 95)(88, 93)(89, 94)(92, 96)(97, 103)(98,
189)(99, 141)(100, 104)(101, 187)(102, 119)(105, 166)(110, 114)(111, 162)(112,
144)(113, 122)(115, 170)(116, 118)(117, 139)(124, 154)(125, 160)(126, 127)(128,
133)(129, 146)(131, 136)(134, 147)(135, 151)(138, 140)(145, 159)(150, 156)(152,
183)(155, 173)(157, 181)(158, 172)(163, 192)(164, 167)(165, 188)(171, 185)(175,
186)(176, 179)(178, 182) (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: (3, 6)(5, 12)(7, 16)(8, 17)(13, 27)(14, 28)(19, 35)(21, 37)(24, 48)(30,
52)(32, 54)(44, 69)(49, 76)(50, 77)(61, 82)(75, 91)(99, 187)(101, 141)(106,
123)(107, 161)(110, 158)(111, 185)(112, 124)(114, 172)(116, 164)(118, 167)(120,
184)(121, 137)(126, 163)(127, 192)(129, 157)(131, 175)(132, 168)(136, 186)(143,
180)(144, 154)(146, 181)(149, 190)(162, 171)(169, 174)
c: (2, 4)(3, 36, 6, 20)(5, 53, 12, 31)(7, 18, 16, 9)(8, 71)(10, 11)(13, 29, 27,
15)(14, 84)(17, 46)(19, 79)(21, 39)(22, 58)(23, 37)(24, 89, 48, 73)(25, 26)(28,
63)(30, 66)(32, 56)(33, 45)(34, 54)(35, 59)(38, 78)(40, 81)(42, 52)(43, 44, 67,
69)(49, 95)(50, 94, 77, 86)(55, 70)(57, 93)(60, 61, 80, 82)(62, 64)(74, 91)(75,
90)(76, 87)(83, 85)(88, 96)(97, 106, 156, 123)(98, 190, 160, 149)(99, 115, 157,
155)(100, 127)(101, 108, 146, 130)(102, 180)(103, 144, 150, 154)(104, 132)(105,
162, 147, 171)(107, 152)(109, 175, 177, 116)(110, 159)(111, 125, 185, 189)(112,
179, 124, 139)(113, 129, 151, 187)(114, 133)(117, 121, 176, 137)(118, 170, 186,
173)(119, 172)(120, 145)(122, 136, 135, 167)(126, 165)(128, 143)(131, 153, 164,
142)(134, 174, 166, 169)(138, 184)(140, 158)(141, 191, 181, 148)(161, 188)(163,
183)(168, 182)(178, 192)
d: (1, 3, 8, 22, 42, 15, 10, 24, 49, 64, 34, 60, 51, 61, 32, 62, 87, 73, 11, 13,
30, 58, 46, 20)(2, 5, 14, 33, 23, 43, 25, 50, 75, 47, 74, 86, 26, 44, 21, 45,
63, 31, 4, 7, 19, 41, 59, 9)(6, 17, 38, 66, 29, 57, 48, 76, 85, 56, 80, 92, 82,
54, 83, 95, 89, 93, 27, 52, 78, 71, 36, 68)(12, 28, 55, 39, 67, 88, 77, 91, 72,
90, 94, 96, 69, 37, 70, 84, 53, 81, 16, 35, 65, 79, 18, 40)(97, 106, 99, 110,
102, 108, 103, 112, 116, 120, 119, 122, 117, 121, 118, 114, 138, 142, 139, 144,
141, 143, 140, 113)(98, 190, 187, 192, 188, 191, 189, 162, 164, 168, 165, 170,
166, 169, 167, 163, 104, 109, 105, 111, 101, 107, 100, 115)(123, 129, 127, 128,
130, 125, 124, 131, 132, 133, 135, 134, 137, 136, 126, 145, 153, 147, 154, 146,
161, 159, 151, 160)(148, 150, 171, 175, 184, 183, 173, 176, 174, 186, 172, 182,
177, 179, 185, 181, 180, 178, 155, 156, 149, 157, 158, 152)
e: (8, 17)(14, 28)(19, 35)(21, 37)(30, 52)(32, 54)(49, 76)(75, 91)(99, 129)(101,
181)(107, 161)(110, 158)(114, 172)(116, 131)(118, 136)(120, 184)(126, 163)(127,
192)(132, 168)(141, 146)(143, 180)(157, 187)(164, 175)(167, 186)
f: (9, 18)(15, 29)(20, 36)(31, 53)(43, 67)(60, 80)(73, 89)(86, 94)(97, 156)(98,
160)(103, 150)(105, 147)(108, 130)(109, 177)(113, 151)(115, 155)(117, 176)(122,
135)(125, 189)(134, 166)(139, 179)(142, 153)(148, 191)(170, 173)
g: (2, 4)(3, 36, 6, 20)(5, 53, 12, 31)(7, 18, 16, 9)(8, 71)(10, 11)(13, 29, 27,
15)(14, 84)(17, 46)(19, 79)(21, 39)(22, 78)(23, 37)(24, 89, 48, 73)(25, 26)(28,
63)(30, 66)(32, 56)(33, 70)(34, 54)(35, 59)(38, 58)(40, 81)(41, 65)(42, 52)(43,
44, 67, 69)(45, 55)(47, 72)(49, 95)(50, 94, 77, 86)(57, 93)(60, 61, 80, 82)(62,
85)(64, 83)(74, 91)(75, 90)(76, 87)(88, 96)(97, 106, 156, 123)(98, 190, 160,
149)(99, 115, 157, 155)(100, 110)(101, 108, 146, 130)(102, 107)(103, 144, 150,
154)(104, 120)(105, 162, 147, 171)(109, 175, 177, 116)(111, 125, 185, 189)(112,
179, 124, 139)(113, 129, 151, 187)(114, 165)(117, 121, 176, 137)(118, 170, 186,
173)(119, 163)(122, 136, 135, 167)(126, 133)(127, 159)(128, 161)(131, 153, 164,
142)(132, 145)(134, 174, 166, 169)(138, 168)(140, 192)(141, 191, 181, 148)(143,
188)(152, 180)(158, 178)(172, 183)(182, 184)
C4[ 192, 58 ]
192
-1 123 156 106 97
-2 123 103 106 150
-3 99 149 106 129
-4 154 144 156 97
-5 99 112 171 129
-6 187 123 157 190
-7 146 149 106 141
-8 99 110 157 127
-9 148 160 97 108
-10 112 124 103 150
-11 154 144 179 139
-12 187 124 157 162
-13 144 146 141 185
-14 110 116 127 175
-15 103 125 148 108
-16 101 123 190 181
-17 187 158 192 129
-18 156 191 130 98
-19 99 143 157 161
-20 155 113 160 97
-21 114 126 181 141
-22 110 102 158 128
-23 183 108 119 130
-24 112 116 171 131
-25 176 112 124 117
-26 121 179 137 139
-27 154 111 101 181
-28 158 192 131 164
-29 189 191 150 130
-30 143 181 161 141
-31 155 113 147 139
-32 114 126 118 186
-33 102 128 184 120
-34 122 135 183 119
-35 187 180 107 129
-36 156 115 151 98
-37 101 146 172 163
-38 188 192 127 152
-39 165 133 191 148
-40 189 190 125 149
-41 110 158 159 140
-42 102 108 130 152
-43 122 103 125 173
-44 144 136 118 185
-45 143 145 180 138
-46 178 113 140 151
-47 133 114 172 119
-48 124 162 164 175
-49 132 116 120 175
-50 121 116 174 131
-51 121 176 137 117
-52 101 146 180 107
-53 179 115 105 151
-54 167 136 172 163
-55 132 188 168 152
-56 165 133 170 173
-57 189 125 171 162
-58 143 180 159 140
-59 102 113 151 152
-60 122 134 117 173
-61 121 136 118 174
-62 145 114 138 172
-63 178 140 142 153
-64 133 184 119 120
-65 100 178 192 127
-66 188 191 148 128
-67 189 135 170 150
-68 190 149 160 98
-69 154 111 167 186
-70 104 182 161 107
-71 100 155 115 159
-72 165 126 183 163
-73 177 147 139 142
-74 122 135 138 182
-75 132 118 120 186
-76 168 184 131 164
-77 169 137 164 175
-78 100 178 161 107
-79 155 188 115 128
-80 176 166 135 170
-81 111 160 185 98
-82 167 169 137 186
-83 104 126 182 163
-84 100 177 159 109
-85 132 165 168 183
-86 177 134 117 142
-87 138 182 142 153
-88 166 134 171 162
-89 179 105 109 153
-90 145 104 170 173
-91 167 168 136 184
-92 166 134 169 174
-93 111 147 105 185
-94 176 166 109 153
-95 177 145 104 109
-96 147 169 105 174
-97 1 4 9 20
-98 68 36 81 18
-99 3 5 8 19
-100 78 71 84 65
-101 37 16 27 52
-102 22 33 59 42
-103 2 15 10 43
-104 90 70 83 95
-105 89 93 96 53
-106 1 2 3 7
-107 78 35 70 52
-108 23 15 9 42
-109 89 94 84 95
-110 22 14 8 41
-111 69 81 27 93
-112 24 25 5 10
-113 46 59 20 31
-114 47 62 21 32
-115 79 36 71 53
-116 24 14 49 50
-117 25 60 51 86
-118 44 61 75 32
-119 23 34 47 64
-120 33 49 64 75
-121 26 50 61 51
-122 34 60 74 43
-123 1 2 16 6
-124 12 25 48 10
-125 57 15 40 43
-126 72 83 21 32
-127 14 38 8 65
-128 22 33 66 79
-129 35 3 5 17
-130 23 18 29 42
-131 24 28 50 76
-132 55 49 85 75
-133 56 47 39 64
-134 88 92 60 86
-135 34 67 80 74
-136 44 91 61 54
-137 77 26 82 51
-138 45 62 74 87
-139 11 26 73 31
-140 46 58 41 63
-141 13 7 30 21
-142 73 63 86 87
-143 45 58 19 30
-144 11 44 13 4
-145 45 90 62 95
-146 13 37 7 52
-147 93 73 96 31
-148 66 15 39 9
-149 68 3 7 40
-150 67 2 29 10
-151 46 36 59 53
-152 55 59 38 42
-153 89 94 63 87
-154 11 69 4 27
-155 79 71 20 31
-156 1 36 4 18
-157 12 6 8 19
-158 22 17 28 41
-159 58 71 84 41
-160 68 81 9 20
-161 78 70 19 30
-162 88 12 57 48
-163 37 72 83 54
-164 77 48 28 76
-165 56 39 72 85
-166 88 80 92 94
-167 69 91 82 54
-168 55 91 85 76
-169 77 92 82 96
-170 56 67 90 80
-171 88 24 57 5
-172 47 37 62 54
-173 56 90 60 43
-174 92 50 61 96
-175 77 14 48 49
-176 25 80 94 51
-177 73 84 95 86
-178 78 46 63 65
-179 11 89 26 53
-180 45 35 58 52
-181 16 27 30 21
-182 70 83 74 87
-183 23 34 72 85
-184 33 91 64 76
-185 44 13 81 93
-186 69 82 75 32
-187 12 35 6 17
-188 55 66 79 38
-189 67 57 29 40
-190 68 16 6 40
-191 66 39 18 29
-192 38 17 28 65
0