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