Graph forms
for C4 [ 192, 163 ] =
BGCG(KE_24(1,11,8,3,7);K1;{3,6})
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On this page are computer-accessible forms for the graph C4[ 192, 163 ] =
BGCG(KE_24(1,11,8,3,7);K1;{3,6}).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {96, 103}, {84, 116}, {81, 112}, {87, 118}, {71, 101}, {93, 127},
{72, 106}, {80, 114}, {81, 114}, {72, 108}, {94, 122}, {66, 103}, {77, 107},
{80, 118}, {91, 124}, {75, 99}, {84, 124}, {79, 103}, {74, 99}, {75, 98}, {66,
105}, {95, 116}, {65, 109}, {73, 100}, {86, 123}, {82, 127}, {94, 112}, {64,
111}, {81, 126}, {91, 105}, {71, 116}, {90, 105}, {74, 126}, {79, 123}, {77,
122}, {90, 109}, {95, 102}, {64, 122}, {66, 120}, {68, 126}, {69, 127}, {67,
125}, {92, 98}, {90, 100}, {88, 102}, {83, 109}, {84, 107}, {32, 97}, {40, 105},
{50, 118}, {34, 103}, {61, 123}, {40, 111}, {62, 121}, {38, 110}, {48, 120},
{61, 117}, {57, 112}, {47, 101}, {54, 124}, {56, 114}, {59, 113}, {33, 109},
{63, 115}, {57, 119}, {37, 117}, {59, 107}, {50, 99}, {33, 115}, {46, 124}, {48,
99}, {33, 116}, {44, 121}, {43, 125}, {56, 110}, {60, 100}, {56, 97}, {32, 122},
{48, 106}, {36, 126}, {43, 112}, {42, 118}, {58, 102}, {62, 98}, {55, 104}, {31,
127}, {16, 113}, {12, 104}, {8, 110}, {29, 123}, {20, 115}, {18, 120}, {6, 106},
{30, 114}, {29, 113}, {27, 119}, {13, 97}, {1, 110}, {14, 97}, {7, 104}, {5,
106}, {13, 125}, {27, 107}, {12, 125}, {25, 104}, {7, 117}, {30, 108}, {6, 117},
{11, 120}, {17, 101}, {24, 108}, {16, 101}, {14, 121}, {28, 100}, {14, 119},
{22, 111}, {11, 113}, {21, 111}, {15, 115}, {30, 98}, {26, 102}, {17, 108}, {7,
121}, {9, 119}, {23, 151}, {44, 172}, {37, 165}, {32, 160}, {59, 186}, {38,
164}, {48, 178}, {5, 134}, {46, 173}, {28, 159}, {27, 152}, {26, 153}, {24,
155}, {11, 143}, {53, 177}, {9, 140}, {10, 143}, {8, 142}, {10, 140}, {9, 142},
{46, 169}, {45, 170}, {27, 156}, {18, 149}, {51, 180}, {1, 137}, {42, 162}, {39,
175}, {25, 145}, {20, 156}, {19, 155}, {12, 132}, {49, 185}, {53, 189}, {59,
179}, {63, 183}, {4, 141}, {39, 174}, {21, 156}, {12, 134}, {43, 161}, {31,
149}, {25, 147}, {15, 133}, {50, 184}, {56, 178}, {2, 137}, {15, 130}, {29,
144}, {40, 166}, {53, 187}, {11, 132}, {28, 140}, {55, 167}, {8, 153}, {45,
188}, {37, 180}, {51, 161}, {1, 146}, {35, 176}, {4, 151}, {6, 146}, {47, 187},
{22, 130}, {16, 133}, {18, 135}, {17, 135}, {53, 163}, {13, 149}, {46, 182},
{32, 184}, {21, 141}, {35, 186}, {49, 168}, {51, 170}, {30, 132}, {39, 189},
{35, 185}, {58, 160}, {62, 164}, {2, 158}, {45, 177}, {35, 191}, {58, 166}, {3,
158}, {40, 181}, {7, 153}, {45, 179}, {28, 130}, {52, 171}, {55, 150}, {8, 170},
{36, 135}, {41, 138}, {49, 146}, {9, 173}, {26, 190}, {62, 154}, {3, 166}, {44,
137}, {1, 167}, {41, 143}, {34, 133}, {44, 139}, {38, 129}, {57, 158}, {31,
183}, {61, 149}, {3, 170}, {41, 128}, {39, 142}, {22, 191}, {54, 159}, {3, 169},
{34, 136}, {20, 190}, {57, 147}, {19, 184}, {50, 153}, {2, 174}, {47, 131}, {42,
134}, {10, 166}, {4, 169}, {17, 191}, {63, 145}, {34, 141}, {51, 156}, {20,
164}, {10, 187}, {26, 171}, {25, 168}, {63, 142}, {14, 188}, {54, 132}, {13,
190}, {15, 188}, {23, 163}, {60, 136}, {22, 163}, {23, 162}, {19, 164}, {55,
128}, {31, 167}, {52, 140}, {43, 146}, {47, 150}, {52, 141}, {2, 184}, {24,
162}, {18, 168}, {60, 134}, {19, 168}, {38, 157}, {21, 174}, {49, 138}, {60,
135}, {16, 173}, {4, 186}, {42, 148}, {41, 151}, {37, 155}, {36, 154}, {29,
163}, {5, 187}, {61, 131}, {5, 186}, {33, 158}, {24, 167}, {52, 139}, {58, 133},
{74, 138}, {80, 144}, {82, 147}, {89, 152}, {70, 130}, {89, 157}, {88, 157}, {6,
192}, {87, 145}, {80, 150}, {70, 129}, {92, 148}, {74, 131}, {93, 148}, {91,
144}, {86, 154}, {68, 137}, {87, 154}, {76, 129}, {65, 143}, {79, 128}, {96,
175}, {68, 148}, {71, 151}, {79, 159}, {78, 159}, {91, 138}, {83, 129}, {89,
139}, {67, 144}, {96, 179}, {78, 152}, {96, 182}, {85, 131}, {23, 192}, {67,
155}, {75, 147}, {65, 152}, {82, 139}, {84, 136}, {92, 128}, {64, 157}, {85,
136}, {76, 145}, {73, 150}, {66, 162}, {85, 181}, {83, 179}, {69, 165}, {36,
192}, {86, 178}, {85, 176}, {77, 171}, {81, 183}, {76, 171}, {90, 189}, {71,
175}, {70, 172}, {69, 174}, {88, 180}, {92, 176}, {64, 173}, {76, 161}, {95,
177}, {70, 169}, {93, 178}, {88, 183}, {86, 185}, {73, 185}, {77, 189}, {82,
160}, {94, 172}, {87, 165}, {67, 176}, {95, 172}, {83, 160}, {54, 192}, {89,
175}, {69, 188}, {68, 190}, {78, 181}, {94, 165}, {93, 161}, {72, 181}, {65,
191}, {72, 182}, {73, 182}, {75, 180}, {78, 177} }>;
(II) A more general form is to represent the graph as the orbit of {96, 103}
under the group generated by the following permutations:
a: (2, 44)(3, 70)(5, 35)(6, 49)(7, 19)(8, 38)(9, 64)(10, 22)(11, 29)(12, 67)(14,
32)(15, 58)(17, 47)(18, 61)(20, 26)(21, 52)(23, 41)(24, 55)(25, 37)(27, 77)(28,
40)(30, 80)(33, 95)(36, 74)(39, 89)(42, 92)(45, 83)(48, 86)(50, 62)(51, 76)(53,
65)(54, 91)(57, 94)(60, 85)(63, 88)(66, 79)(69, 82)(72, 73)(75, 87)(78, 90)(98,
118)(99, 154)(100, 181)(102, 115)(104, 155)(105, 159)(106, 185)(108, 150)(109,
177)(111, 140)(117, 168)(119, 122)(120, 123)(121, 184)(128, 162)(129, 170)(130,
166)(131, 135)(132, 144)(134, 176)(138, 192)(139, 174)(142, 157)(143, 163)(145,
180)(147, 165)(152, 189)(153, 164)(156, 171)(158, 172)(160, 188)(187, 191) (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: (2, 38)(3, 89)(4, 96)(5, 79)(6, 55)(8, 44)(9, 95)(10, 78)(11, 85)(12, 61)(14,
26)(15, 77)(16, 84)(17, 91)(18, 67)(20, 32)(21, 83)(22, 90)(23, 73)(24, 49)(25,
37)(27, 58)(28, 53)(29, 60)(30, 74)(31, 43)(33, 64)(34, 59)(35, 66)(36, 80)(39,
70)(40, 65)(41, 72)(42, 86)(45, 52)(46, 71)(47, 54)(48, 92)(50, 62)(51, 82)(56,
68)(57, 88)(63, 94)(69, 76)(97, 190)(98, 99)(100, 163)(101, 124)(102, 119)(103,
186)(104, 117)(105, 191)(106, 128)(107, 133)(108, 138)(109, 111)(110, 137)(112,
183)(113, 136)(114, 126)(115, 122)(116, 173)(118, 154)(120, 176)(121, 153)(123,
134)(125, 149)(127, 161)(129, 174)(130, 189)(131, 132)(135, 144)(139, 170)(140,
177)(141, 179)(142, 172)(143, 181)(145, 165)(146, 167)(147, 180)(148, 178)(150,
192)(151, 182)(152, 166)(155, 168)(156, 160)(157, 158)(159, 187)(162, 185)(164,
184)(169, 175)(171, 188)
c: (1, 2)(3, 24)(4, 23)(5, 22)(6, 21)(7, 20)(8, 19)(9, 18)(10, 17)(11, 16)(12,
15)(13, 14)(25, 63)(26, 62)(27, 61)(28, 60)(29, 59)(30, 58)(31, 57)(32, 56)(33,
55)(34, 54)(35, 53)(36, 52)(37, 51)(38, 50)(39, 49)(40, 72)(41, 71)(42, 70)(43,
69)(44, 68)(45, 67)(46, 66)(47, 65)(48, 64)(73, 90)(74, 89)(75, 88)(76, 87)(77,
86)(78, 85)(79, 84)(80, 83)(81, 82)(91, 96)(92, 95)(93, 94)(98, 102)(99,
157)(101, 143)(103, 124)(104, 115)(105, 182)(106, 111)(107, 123)(108, 166)(109,
150)(110, 184)(112, 127)(114, 160)(116, 128)(117, 156)(118, 129)(119, 149)(120,
173)(121, 190)(122, 178)(125, 188)(126, 139)(130, 134)(131, 152)(132, 133)(135,
140)(136, 159)(138, 175)(141, 192)(142, 168)(144, 179)(146, 174)(147, 183)(148,
172)(153, 164)(154, 171)(155, 170)(158, 167)(161, 165)(162, 169)(163, 186)(176,
177)(185, 189)(187, 191)
d: (2, 24)(3, 72)(4, 96)(5, 45)(6, 8)(9, 54)(10, 78)(11, 27)(12, 14)(15, 60)(16,
84)(17, 33)(18, 20)(21, 66)(22, 90)(23, 39)(25, 62)(26, 61)(29, 77)(30, 57)(31,
68)(32, 67)(35, 83)(36, 63)(37, 50)(38, 49)(41, 89)(42, 69)(43, 56)(44, 55)(47,
95)(48, 51)(52, 79)(58, 85)(64, 91)(70, 73)(74, 88)(76, 86)(80, 94)(82, 92)(97,
125)(98, 147)(99, 180)(100, 130)(101, 116)(102, 131)(103, 141)(104, 121)(105,
111)(106, 170)(107, 113)(108, 158)(109, 191)(110, 146)(112, 114)(115, 135)(117,
153)(118, 165)(119, 132)(120, 156)(122, 144)(123, 171)(124, 173)(126, 183)(127,
148)(128, 139)(129, 185)(133, 136)(134, 188)(137, 167)(138, 157)(140, 159)(142,
192)(143, 152)(145, 154)(149, 190)(150, 172)(151, 175)(155, 184)(160, 176)(161,
178)(162, 174)(163, 189)(164, 168)(166, 181)(169, 182)(177, 187)(179, 186)
e: (2, 55, 38, 6)(3, 41, 89, 72)(4, 71, 96, 46)(5, 33, 79, 64)(7, 19)(8, 49, 44,
24)(9, 35, 95, 66)(10, 65, 78, 40)(11, 27, 85, 58)(12, 20, 61, 32)(14, 67, 26,
18)(15, 29, 77, 60)(16, 59, 84, 34)(17, 45, 91, 52)(21, 47, 83, 54)(22, 53, 90,
28)(23, 39, 73, 70)(25, 62, 37, 50)(30, 51, 74, 82)(31, 56, 43, 68)(36, 69, 80,
76)(42, 63, 86, 94)(48, 57, 92, 88)(81, 93)(97, 125, 190, 149)(98, 180, 99,
147)(100, 130, 163, 189)(101, 179, 124, 141)(102, 120, 119, 176)(103, 173, 186,
116)(104, 164, 117, 184)(105, 140, 191, 177)(106, 158, 128, 157)(107, 136, 133,
113)(108, 170, 138, 139)(109, 159, 111, 187)(110, 146, 137, 167)(112, 148, 183,
178)(114, 161, 126, 127)(115, 123, 122, 134)(118, 145, 154, 165)(121, 155, 153,
168)(129, 192, 174, 150)(131, 160, 132, 156)(135, 188, 144, 171)(142, 185, 172,
162)(143, 152, 181, 166)(151, 175, 182, 169)
C4[ 192, 163 ]
192
-1 110 167 146 137
-2 158 137 184 174
-3 166 158 169 170
-4 169 151 141 186
-5 187 134 106 186
-6 146 192 106 117
-7 121 104 117 153
-8 110 170 142 153
-9 140 173 119 142
-10 143 187 166 140
-11 132 143 113 120
-12 132 134 125 104
-13 190 125 149 97
-14 121 188 97 119
-15 133 188 115 130
-16 133 101 113 173
-17 101 135 191 108
-18 135 168 149 120
-19 155 168 184 164
-20 156 190 115 164
-21 111 156 141 174
-22 111 191 130 163
-23 192 151 162 163
-24 155 167 162 108
-25 145 168 147 104
-26 102 190 171 153
-27 156 107 119 152
-28 100 159 140 130
-29 144 123 113 163
-30 132 114 108 98
-31 167 127 149 183
-32 122 160 184 97
-33 158 115 116 109
-34 133 103 136 141
-35 176 191 185 186
-36 154 135 126 192
-37 165 155 180 117
-38 110 157 129 164
-39 189 174 142 175
-40 111 166 181 105
-41 143 138 128 151
-42 134 148 118 162
-43 112 146 125 161
-44 121 137 139 172
-45 177 188 179 170
-46 124 169 182 173
-47 187 101 150 131
-48 99 178 106 120
-49 146 168 138 185
-50 99 118 184 153
-51 156 180 170 161
-52 171 139 140 141
-53 187 177 189 163
-54 132 124 159 192
-55 167 104 128 150
-56 110 178 114 97
-57 112 147 158 119
-58 133 166 102 160
-59 113 179 107 186
-60 100 134 135 136
-61 123 149 117 131
-62 121 154 98 164
-63 145 115 183 142
-64 111 122 157 173
-65 143 191 152 109
-66 103 105 162 120
-67 176 144 155 125
-68 190 126 137 148
-69 165 188 127 174
-70 169 172 129 130
-71 101 116 151 175
-72 181 182 106 108
-73 100 182 150 185
-74 99 126 138 131
-75 99 147 180 98
-76 145 171 161 129
-77 122 189 171 107
-78 177 159 181 152
-79 123 103 159 128
-80 144 114 150 118
-81 112 114 126 183
-82 147 127 160 139
-83 179 160 129 109
-84 124 136 116 107
-85 176 136 181 131
-86 154 123 178 185
-87 154 165 145 118
-88 102 157 180 183
-89 157 139 152 175
-90 100 189 105 109
-91 144 124 105 138
-92 176 148 128 98
-93 178 148 127 161
-94 165 122 112 172
-95 177 102 116 172
-96 179 103 182 175
-97 56 13 14 32
-98 92 62 30 75
-99 48 50 74 75
-100 90 60 28 73
-101 47 16 71 17
-102 88 58 26 95
-103 66 34 79 96
-104 55 12 25 7
-105 66 90 91 40
-106 48 5 6 72
-107 77 59 27 84
-108 24 17 72 30
-109 33 90 83 65
-110 1 56 38 8
-111 22 40 64 21
-112 57 81 94 43
-113 11 59 16 29
-114 56 80 81 30
-115 33 15 63 20
-116 33 71 84 95
-117 37 6 61 7
-118 80 50 42 87
-119 57 14 27 9
-120 11 66 48 18
-121 44 14 7 62
-122 77 94 64 32
-123 79 61 29 86
-124 46 91 84 54
-125 12 67 13 43
-126 68 36 81 74
-127 69 82 93 31
-128 55 79 92 41
-129 70 38 83 76
-130 22 15 70 28
-131 47 61 74 85
-132 11 12 30 54
-133 34 58 15 16
-134 12 5 60 42
-135 36 60 17 18
-136 34 60 84 85
-137 44 1 2 68
-138 91 49 41 74
-139 44 89 82 52
-140 28 52 9 10
-141 34 4 52 21
-142 39 8 63 9
-143 11 41 10 65
-144 67 80 91 29
-145 25 63 76 87
-146 1 49 6 43
-147 57 25 82 75
-148 68 92 93 42
-149 13 61 18 31
-150 55 47 80 73
-151 23 4 71 41
-152 78 89 27 65
-153 26 50 7 8
-154 36 62 86 87
-155 67 24 37 19
-156 27 51 20 21
-157 88 89 38 64
-158 33 2 57 3
-159 78 79 28 54
-160 58 82 83 32
-161 93 51 43 76
-162 66 23 24 42
-163 22 23 29 53
-164 38 62 19 20
-165 69 37 94 87
-166 3 58 40 10
-167 55 1 24 31
-168 25 49 18 19
-169 46 3 4 70
-170 45 3 51 8
-171 77 26 52 76
-172 44 70 94 95
-173 46 16 9 64
-174 2 69 39 21
-175 89 71 39 96
-176 67 35 92 85
-177 45 78 95 53
-178 56 48 93 86
-179 45 59 83 96
-180 88 37 51 75
-181 78 72 40 85
-182 46 72 73 96
-183 88 81 63 31
-184 2 50 19 32
-185 35 49 73 86
-186 35 4 59 5
-187 47 5 53 10
-188 45 14 69 15
-189 77 90 39 53
-190 13 68 26 20
-191 22 35 17 65
-192 23 36 6 54
0