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