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