Graph forms
for C4 [ 192, 202 ] = SS[192,94]
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On this page are computer-accessible forms for the graph C4[ 192, 202 ] =
SS[192,94].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {1, 3}, {16, 18}, {1, 2}, {180, 183}, {144, 147}, {17, 18}, {1,
5}, {178, 182}, {177, 181}, {144, 148}, {33, 37}, {1, 4}, {33, 36}, {32, 38},
{32, 39}, {176, 183}, {34, 42}, {34, 43}, {80, 89}, {81, 88}, {82, 91}, {83,
90}, {35, 41}, {35, 40}, {179, 184}, {144, 159}, {68, 84}, {170, 186}, {169,
185}, {78, 94}, {71, 86}, {143, 158}, {141, 156}, {77, 92}, {69, 87}, {168,
186}, {143, 157}, {79, 93}, {70, 85}, {139, 152}, {76, 95}, {140, 152}, {142,
154}, {141, 153}, {32, 53}, {142, 155}, {33, 52}, {76, 89}, {79, 90}, {77, 91},
{78, 88}, {32, 55}, {175, 184}, {172, 187}, {171, 188}, {33, 54}, {72, 95}, {73,
94}, {74, 93}, {75, 92}, {35, 59}, {174, 182}, {173, 181}, {67, 91}, {129, 153},
{137, 145}, {35, 58}, {140, 149}, {64, 89}, {130, 155}, {131, 154}, {138, 147},
{34, 56}, {166, 188}, {140, 150}, {66, 88}, {136, 146}, {34, 57}, {164, 191},
{160, 187}, {140, 151}, {65, 90}, {15, 19}, {167, 187}, {165, 185}, {128, 156},
{137, 149}, {14, 19}, {143, 146}, {73, 84}, {75, 86}, {138, 151}, {136, 150},
{143, 145}, {72, 87}, {162, 189}, {161, 190}, {74, 85}, {139, 148}, {21, 53},
{150, 182}, {149, 181}, {25, 57}, {24, 56}, {135, 167}, {23, 54}, {27, 58}, {26,
59}, {135, 166}, {22, 52}, {156, 190}, {20, 55}, {159, 188}, {134, 165}, {64,
100}, {158, 186}, {157, 185}, {155, 191}, {153, 189}, {65, 101}, {28, 57}, {66,
103}, {31, 58}, {67, 102}, {128, 165}, {130, 167}, {131, 166}, {29, 59}, {30,
56}, {70, 96}, {71, 97}, {68, 99}, {69, 98}, {28, 53}, {30, 55}, {129, 168},
{133, 172}, {24, 50}, {25, 51}, {26, 49}, {148, 191}, {31, 52}, {29, 54}, {27,
48}, {31, 51}, {146, 190}, {145, 189}, {28, 49}, {132, 169}, {30, 48}, {132,
170}, {133, 171}, {134, 168}, {29, 50}, {152, 183}, {151, 184}, {30, 46}, {144,
160}, {31, 47}, {28, 45}, {29, 44}, {80, 98}, {81, 99}, {82, 97}, {83, 96}, {64,
120}, {21, 44}, {141, 180}, {23, 46}, {67, 122}, {65, 123}, {20, 47}, {22, 45},
{66, 121}, {142, 178}, {141, 179}, {142, 177}, {10, 74}, {13, 77}, {10, 75},
{13, 76}, {10, 72}, {13, 79}, {10, 73}, {13, 78}, {38, 98}, {39, 99}, {36, 97},
{37, 96}, {62, 120}, {63, 121}, {60, 123}, {61, 122}, {12, 68}, {63, 119}, {47,
103}, {46, 102}, {45, 101}, {44, 100}, {25, 81}, {24, 80}, {12, 69}, {62, 119},
{27, 82}, {26, 83}, {60, 118}, {61, 118}, {11, 71}, {11, 70}, {18, 66}, {19,
67}, {24, 73}, {58, 107}, {56, 105}, {27, 74}, {26, 75}, {25, 72}, {18, 64},
{23, 69}, {22, 68}, {19, 65}, {20, 71}, {147, 192}, {59, 104}, {57, 106}, {21,
70}, {48, 100}, {63, 107}, {61, 105}, {51, 102}, {49, 103}, {62, 104}, {60,
106}, {50, 101}, {21, 77}, {37, 125}, {36, 124}, {23, 78}, {39, 126}, {38, 127},
{11, 81}, {154, 192}, {22, 76}, {11, 80}, {20, 79}, {54, 106}, {52, 105}, {12,
82}, {53, 107}, {12, 83}, {55, 104}, {14, 110}, {15, 111}, {16, 113}, {17, 112},
{16, 114}, {163, 192}, {9, 109}, {8, 109}, {17, 116}, {6, 110}, {7, 111}, {60,
85}, {62, 87}, {6, 108}, {7, 108}, {63, 84}, {61, 86}, {7, 116}, {6, 114}, {40,
94}, {43, 93}, {42, 92}, {41, 95}, {8, 127}, {9, 126}, {8, 112}, {9, 113}, {6,
124}, {15, 117}, {7, 125}, {8, 115}, {9, 117}, {14, 115}, {14, 128}, {15, 129},
{16, 130}, {17, 131}, {40, 137}, {43, 138}, {42, 139}, {41, 136}, {44, 133},
{45, 132}, {46, 132}, {47, 133}, {40, 131}, {43, 128}, {42, 129}, {41, 130},
{36, 138}, {37, 139}, {38, 137}, {39, 136}, {5, 181}, {4, 182}, {50, 134}, {2,
183}, {51, 134}, {49, 135}, {48, 135}, {4, 188}, {3, 186}, {4, 189}, {2, 185},
{5, 190}, {3, 184}, {3, 191}, {5, 187}, {109, 173}, {2, 192}, {108, 175}, {109,
174}, {96, 165}, {98, 167}, {99, 166}, {97, 168}, {100, 174}, {101, 175}, {103,
173}, {110, 160}, {116, 164}, {114, 163}, {115, 162}, {126, 172}, {119, 164},
{117, 161}, {118, 162}, {119, 163}, {127, 171}, {124, 169}, {102, 176}, {118,
161}, {125, 170}, {106, 179}, {121, 160}, {104, 178}, {107, 177}, {126, 164},
{108, 176}, {127, 163}, {105, 180}, {124, 161}, {125, 162}, {85, 176}, {123,
158}, {112, 151}, {120, 159}, {122, 157}, {89, 177}, {91, 179}, {115, 155},
{116, 156}, {121, 145}, {123, 147}, {113, 152}, {88, 178}, {120, 146}, {114,
153}, {112, 157}, {90, 180}, {122, 148}, {113, 158}, {117, 154}, {111, 159},
{94, 172}, {95, 171}, {92, 169}, {93, 170}, {110, 150}, {86, 175}, {84, 174},
{87, 173}, {111, 149} }>;
(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, 4, 3, 5)(6, 8, 7, 9)(11, 12)(14, 17, 15, 16)(18, 19)(20, 23, 21, 22)(24,
26, 25, 27)(28, 31, 30, 29)(32, 33)(34, 35)(36, 38, 37, 39)(40, 42, 41, 43)(44,
45, 47, 46)(48, 50, 49, 51)(52, 55, 54, 53)(56, 59, 57, 58)(60, 63, 61, 62)(64,
65, 66, 67)(68, 71, 69, 70)(72, 74, 73, 75)(76, 79, 78, 77)(80, 83, 81, 82)(84,
86, 87, 85)(88, 91, 89, 90)(92, 95, 93, 94)(96, 99, 97, 98)(100, 101, 103,
102)(104, 106, 107, 105)(108, 109)(110, 112, 111, 113)(114, 115, 116, 117)(118,
119)(120, 123, 121, 122)(124, 127, 125, 126)(128, 131, 129, 130)(132, 133)(134,
135)(136, 138, 137, 139)(141, 142)(143, 144)(145, 148, 146, 147)(149, 152, 150,
151)(153, 155, 156, 154)(157, 159, 158, 160)(161, 163, 162, 164)(165, 166, 168,
167)(169, 171, 170, 172)(173, 176, 174, 175)(177, 180, 178, 179)(181, 183, 182,
184)(185, 188, 186, 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, 20, 114, 22)(2, 79, 153, 52)(3, 71, 6, 45)(4, 47, 163, 76)(5, 55, 16,
68)(7, 50, 151, 75)(8, 72, 159, 44)(9, 69, 146, 48)(10, 111, 29, 112)(11, 110,
28, 191)(12, 190, 30, 113)(13, 189, 31, 192)(14, 57, 148, 70)(15, 54, 157,
74)(17, 73, 149, 59)(18, 84, 181, 104)(19, 106, 122, 85)(21, 115, 25, 144)(23,
143, 27, 117)(24, 140, 26, 116)(32, 130, 99, 187)(33, 185, 93, 129)(34, 139, 96,
128)(35, 131, 94, 137)(36, 169, 170, 168)(37, 165, 43, 42)(38, 41, 166, 172)(39,
167)(46, 158, 82, 161)(49, 164, 80, 150)(51, 147, 77, 162)(53, 155, 81, 160)(56,
152, 83, 156)(58, 154, 78, 145)(60, 67)(61, 176, 65, 179)(62, 64, 174, 173)(63,
177, 178, 66)(86, 108, 101, 184)(87, 120, 100, 109)(88, 121, 107, 142)(89, 182,
103, 119)(90, 141, 105, 183)(91, 118, 102, 123)(92, 125, 134, 138)(95, 188, 133,
127)(97, 124, 132, 186)(98, 136, 135, 126)
c: (1, 10)(2, 73)(3, 72)(4, 75)(5, 74)(6, 44)(7, 47)(8, 45)(9, 46)(11, 144)(12,
143)(13, 140)(14, 53)(15, 55)(16, 54)(17, 52)(18, 33)(19, 32)(20, 111)(21,
110)(22, 112)(23, 113)(24, 192)(25, 191)(26, 189)(27, 190)(28, 115)(29, 114)(30,
117)(31, 116)(34, 142)(35, 141)(36, 64)(37, 66)(38, 65)(39, 67)(40, 180)(41,
179)(42, 178)(43, 177)(48, 161)(49, 162)(50, 163)(51, 164)(56, 154)(57, 155)(58,
156)(59, 153)(60, 167)(61, 166)(62, 168)(63, 165)(68, 157)(69, 158)(70, 160)(71,
159)(76, 151)(77, 150)(78, 152)(79, 149)(80, 147)(81, 148)(82, 146)(83, 145)(84,
185)(85, 187)(86, 188)(87, 186)(88, 139)(89, 138)(90, 137)(91, 136)(92, 182)(93,
181)(94, 183)(95, 184)(96, 121)(97, 120)(98, 123)(99, 122)(100, 124)(101,
127)(102, 126)(103, 125)(104, 129)(105, 131)(106, 130)(107, 128)(108, 133)(109,
132)(118, 135)(119, 134)(169, 174)(170, 173)(171, 175)(172, 176)
d: (1, 11)(2, 80)(3, 81)(4, 71)(5, 70)(6, 48)(7, 49)(8, 52)(9, 54)(10, 144)(12,
140)(13, 143)(14, 58)(15, 59)(16, 46)(17, 45)(18, 132)(19, 35)(20, 189)(21,
190)(22, 112)(23, 113)(24, 192)(25, 191)(26, 111)(27, 110)(28, 116)(29, 117)(30,
114)(31, 115)(32, 141)(33, 109)(34, 119)(36, 174)(37, 173)(38, 180)(39, 179)(40,
65)(41, 67)(42, 62)(43, 63)(44, 161)(47, 162)(50, 154)(51, 155)(53, 156)(55,
153)(56, 163)(57, 164)(60, 172)(61, 171)(64, 169)(66, 170)(68, 151)(69, 152)(72,
148)(73, 147)(74, 160)(75, 159)(76, 157)(77, 146)(78, 158)(79, 145)(82, 150)(83,
149)(84, 138)(85, 187)(86, 188)(87, 139)(88, 186)(89, 185)(90, 137)(91, 136)(92,
120)(93, 121)(94, 123)(95, 122)(96, 181)(97, 182)(98, 183)(99, 184)(100,
124)(101, 131)(102, 130)(103, 125)(104, 129)(105, 127)(106, 126)(107, 128)(108,
135)(118, 133)(134, 142)(165, 177)(166, 175)(167, 176)(168, 178)
e: (2, 3)(4, 5)(6, 7)(8, 9)(14, 15)(16, 17)(20, 21)(22, 23)(24, 25)(26, 27)(28,
30)(29, 31)(36, 37)(38, 39)(40, 41)(42, 43)(44, 47)(45, 46)(48, 49)(50, 51)(52,
54)(53, 55)(56, 57)(58, 59)(60, 61)(62, 63)(64, 66)(65, 67)(68, 69)(70, 71)(72,
73)(74, 75)(76, 78)(77, 79)(80, 81)(82, 83)(84, 87)(85, 86)(88, 89)(90, 91)(92,
93)(94, 95)(96, 97)(98, 99)(100, 103)(101, 102)(104, 107)(105, 106)(110,
111)(112, 113)(114, 116)(115, 117)(120, 121)(122, 123)(124, 125)(126, 127)(128,
129)(130, 131)(136, 137)(138, 139)(145, 146)(147, 148)(149, 150)(151, 152)(153,
156)(154, 155)(157, 158)(159, 160)(161, 162)(163, 164)(165, 168)(166, 167)(169,
170)(171, 172)(173, 174)(175, 176)(177, 178)(179, 180)(181, 182)(183, 184)(185,
186)(187, 188)(189, 190)(191, 192)
f: (1, 18, 32, 10, 33, 19)(2, 17, 39, 72, 54, 65)(3, 16, 38, 73, 52, 67)(4, 66,
53, 74, 36, 15)(5, 64, 55, 75, 37, 14)(6, 149, 174, 47, 77, 170)(7, 150, 173,
44, 79, 169)(8, 172, 76, 46, 175, 152)(9, 171, 78, 45, 176, 151)(11, 34, 118,
144, 142, 135)(12, 134, 141, 143, 119, 35)(13, 132, 108, 140, 109, 133)(20, 92,
125, 110, 181, 100)(21, 93, 124, 111, 182, 103)(22, 102, 184, 113, 127, 94)(23,
101, 183, 112, 126, 95)(24, 105, 122, 191, 130, 98)(25, 106, 123, 192, 131,
99)(26, 96, 128, 190, 120, 104)(27, 97, 129, 189, 121, 107)(28, 85, 138, 117,
188, 88)(29, 90, 185, 116, 136, 87)(30, 86, 139, 115, 187, 89)(31, 91, 186, 114,
137, 84)(40, 68, 51, 179, 158, 163)(41, 69, 50, 180, 157, 164)(42, 162, 160,
177, 48, 71)(43, 161, 159, 178, 49, 70)(56, 61, 148, 155, 167, 80)(57, 60, 147,
154, 166, 81)(58, 82, 168, 153, 145, 63)(59, 83, 165, 156, 146, 62)
C4[ 192, 202 ]
192
-1 2 3 4 5
-2 1 192 183 185
-3 1 191 184 186
-4 1 188 189 182
-5 187 1 190 181
-6 110 124 114 108
-7 111 125 116 108
-8 112 115 127 109
-9 113 126 117 109
-10 72 73 74 75
-11 80 70 81 71
-12 68 69 82 83
-13 77 78 79 76
-14 110 115 128 19
-15 111 117 19 129
-16 113 114 18 130
-17 112 116 18 131
-18 66 16 17 64
-19 67 14 15 65
-20 55 79 47 71
-21 44 77 70 53
-22 45 68 52 76
-23 78 46 69 54
-24 56 80 50 73
-25 57 81 72 51
-26 59 49 83 75
-27 58 48 82 74
-28 45 57 49 53
-29 44 59 50 54
-30 55 56 46 48
-31 47 58 51 52
-32 55 38 39 53
-33 36 37 52 54
-34 56 57 42 43
-35 58 59 40 41
-36 33 124 138 97
-37 33 125 139 96
-38 137 127 32 98
-39 99 136 126 32
-40 35 137 94 131
-41 35 136 95 130
-42 34 92 139 129
-43 34 93 138 128
-44 100 133 29 21
-45 22 132 101 28
-46 132 23 102 30
-47 133 103 20 31
-48 100 135 27 30
-49 135 26 103 28
-50 24 101 134 29
-51 134 25 102 31
-52 22 33 105 31
-53 28 107 21 32
-54 33 23 29 106
-55 104 30 20 32
-56 34 24 105 30
-57 34 25 28 106
-58 35 27 107 31
-59 35 26 104 29
-60 123 106 85 118
-61 122 105 118 86
-62 104 119 87 120
-63 121 84 107 119
-64 89 100 18 120
-65 90 101 123 19
-66 88 121 103 18
-67 122 91 102 19
-68 22 99 12 84
-69 12 23 87 98
-70 11 85 96 21
-71 11 20 86 97
-72 25 95 10 87
-73 24 94 84 10
-74 27 93 85 10
-75 26 92 86 10
-76 22 89 13 95
-77 13 91 92 21
-78 88 23 13 94
-79 13 90 93 20
-80 11 89 24 98
-81 11 88 99 25
-82 12 91 27 97
-83 12 90 26 96
-84 68 73 63 174
-85 176 70 60 74
-86 71 61 75 175
-87 69 72 62 173
-88 66 78 178 81
-89 177 80 64 76
-90 79 180 83 65
-91 77 67 179 82
-92 77 169 42 75
-93 79 170 74 43
-94 78 40 73 172
-95 72 171 41 76
-96 165 37 70 83
-97 36 168 71 82
-98 167 69 80 38
-99 166 68 81 39
-100 44 48 64 174
-101 45 50 65 175
-102 176 67 46 51
-103 66 47 49 173
-104 55 178 59 62
-105 56 180 61 52
-106 57 179 60 54
-107 177 58 63 53
-108 176 6 7 175
-109 8 173 9 174
-110 14 6 160 150
-111 15 159 149 7
-112 157 17 8 151
-113 158 16 9 152
-114 16 6 163 153
-115 155 14 8 162
-116 156 17 7 164
-117 154 15 161 9
-118 60 61 161 162
-119 62 63 163 164
-120 146 159 62 64
-121 66 145 160 63
-122 67 157 148 61
-123 147 158 60 65
-124 36 169 6 161
-125 37 170 7 162
-126 39 172 9 164
-127 38 171 8 163
-128 165 156 14 43
-129 168 15 42 153
-130 155 167 16 41
-131 154 166 17 40
-132 45 46 169 170
-133 44 47 171 172
-134 165 168 50 51
-135 166 167 48 49
-136 146 39 150 41
-137 145 38 149 40
-138 36 147 151 43
-139 37 148 42 152
-140 149 150 151 152
-141 156 179 180 153
-142 154 155 177 178
-143 145 146 157 158
-144 147 148 159 160
-145 121 143 189 137
-146 143 190 136 120
-147 144 123 192 138
-148 122 144 191 139
-149 111 137 181 140
-150 110 136 182 140
-151 112 138 140 184
-152 113 139 183 140
-153 189 114 129 141
-154 192 117 131 142
-155 191 115 130 142
-156 190 116 128 141
-157 143 122 112 185
-158 143 123 113 186
-159 111 144 188 120
-160 110 121 187 144
-161 124 190 117 118
-162 189 125 115 118
-163 114 192 127 119
-164 191 126 116 119
-165 134 128 96 185
-166 99 188 135 131
-167 187 135 130 98
-168 134 129 97 186
-169 132 124 92 185
-170 132 125 93 186
-171 133 188 127 95
-172 187 133 126 94
-173 103 181 87 109
-174 100 182 84 109
-175 101 184 86 108
-176 102 183 85 108
-177 89 181 107 142
-178 88 104 182 142
-179 91 106 184 141
-180 90 105 183 141
-181 177 5 149 173
-182 178 4 150 174
-183 176 2 180 152
-184 3 179 151 175
-185 165 2 157 169
-186 3 168 158 170
-187 167 5 160 172
-188 166 4 159 171
-189 145 4 162 153
-190 156 146 5 161
-191 155 3 148 164
-192 154 2 147 163
0