Graph forms
for C4 [ 192, 204 ] = SS[192,98]
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On this page are computer-accessible forms for the graph C4[ 192, 204 ] =
SS[192,98].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {148, 149}, {1, 3}, {180, 182}, {148, 150}, {100, 102}, {101,
103}, {1, 2}, {180, 183}, {148, 151}, {1, 5}, {177, 181}, {145, 149}, {1, 4},
{179, 182}, {178, 183}, {16, 22}, {33, 39}, {16, 23}, {178, 181}, {144, 151},
{32, 39}, {96, 103}, {97, 102}, {17, 25}, {147, 155}, {145, 153}, {17, 24},
{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}, {16, 30}, {176, 190}, {17, 31}, {98, 109}, {147, 156},
{146, 157}, {99, 108}, {100, 107}, {101, 106}, {173, 189}, {175, 190}, {10, 24},
{11, 25}, {168, 187}, {174, 189}, {172, 191}, {6, 18}, {143, 155}, {142, 154},
{35, 55}, {34, 54}, {7, 19}, {32, 53}, {170, 191}, {33, 52}, {8, 30}, {129,
151}, {9, 31}, {143, 152}, {128, 152}, {161, 185}, {142, 150}, {12, 23}, {167,
188}, {162, 185}, {160, 187}, {15, 20}, {14, 21}, {13, 22}, {14, 18}, {166,
186}, {37, 57}, {36, 56}, {15, 19}, {8, 21}, {9, 20}, {128, 159}, {165, 186},
{164, 187}, {163, 188}, {18, 50}, {135, 167}, {25, 57}, {24, 56}, {23, 55}, {22,
54}, {21, 53}, {20, 52}, {19, 51}, {129, 160}, {137, 171}, {80, 115}, {159,
188}, {156, 191}, {150, 181}, {149, 182}, {81, 114}, {130, 166}, {158, 186},
{157, 185}, {154, 190}, {153, 189}, {136, 172}, {133, 161}, {74, 111}, {141,
168}, {75, 110}, {82, 116}, {132, 162}, {131, 165}, {83, 117}, {6, 33}, {7, 32},
{84, 115}, {85, 114}, {86, 113}, {87, 112}, {10, 34}, {140, 164}, {138, 162},
{133, 173}, {11, 35}, {12, 37}, {13, 36}, {64, 105}, {65, 104}, {14, 36}, {139,
161}, {137, 163}, {132, 174}, {14, 37}, {140, 167}, {90, 113}, {91, 112}, {15,
35}, {138, 166}, {136, 164}, {134, 170}, {131, 175}, {15, 34}, {31, 50}, {30,
51}, {29, 48}, {28, 49}, {66, 108}, {141, 163}, {139, 165}, {135, 169}, {134,
168}, {67, 109}, {68, 106}, {69, 107}, {151, 184}, {152, 183}, {16, 33}, {17,
32}, {76, 126}, {146, 160}, {130, 176}, {94, 108}, {95, 109}, {70, 117}, {71,
116}, {77, 126}, {92, 111}, {93, 110}, {26, 46}, {27, 47}, {75, 127}, {74, 127},
{94, 107}, {95, 106}, {26, 44}, {29, 43}, {28, 42}, {27, 45}, {88, 111}, {89,
110}, {30, 38}, {31, 38}, {72, 114}, {73, 115}, {78, 116}, {79, 117}, {76, 113},
{77, 112}, {10, 94}, {11, 95}, {9, 95}, {9, 94}, {62, 102}, {63, 103}, {155,
192}, {38, 70}, {52, 84}, {50, 82}, {49, 81}, {48, 80}, {38, 71}, {60, 93}, {55,
86}, {54, 87}, {52, 85}, {50, 83}, {61, 92}, {56, 90}, {57, 91}, {26, 121}, {59,
88}, {58, 89}, {41, 74}, {40, 75}, {27, 120}, {6, 98}, {53, 81}, {41, 77}, {40,
76}, {25, 125}, {24, 124}, {6, 99}, {57, 92}, {56, 93}, {53, 80}, {29, 120},
{28, 121}, {7, 97}, {7, 96}, {61, 90}, {60, 91}, {18, 122}, {12, 101}, {169,
192}, {61, 84}, {60, 85}, {59, 82}, {58, 83}, {19, 122}, {13, 100}, {10, 96},
{28, 118}, {11, 97}, {22, 125}, {171, 192}, {59, 80}, {58, 81}, {29, 118}, {23,
124}, {8, 100}, {27, 119}, {8, 101}, {59, 86}, {58, 87}, {26, 119}, {21, 123},
{55, 89}, {54, 88}, {39, 73}, {12, 99}, {39, 72}, {20, 123}, {13, 98}, {42, 90},
{43, 91}, {44, 93}, {45, 92}, {60, 79}, {61, 78}, {44, 88}, {45, 89}, {46, 85},
{47, 84}, {46, 82}, {51, 79}, {47, 83}, {42, 87}, {51, 78}, {43, 86}, {48, 79},
{49, 78}, {49, 179}, {48, 180}, {42, 178}, {44, 180}, {43, 177}, {47, 178}, {45,
179}, {46, 177}, {62, 142}, {63, 142}, {5, 183}, {62, 140}, {63, 141}, {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}, {106, 168}, {111, 173},
{68, 135}, {69, 134}, {4, 192}, {102, 162}, {103, 161}, {66, 133}, {67, 132},
{70, 129}, {71, 128}, {64, 136}, {65, 137}, {72, 128}, {73, 129}, {109, 165},
{74, 131}, {75, 130}, {76, 133}, {77, 132}, {105, 163}, {108, 166}, {64, 139},
{65, 138}, {68, 143}, {104, 164}, {107, 167}, {125, 176}, {65, 143}, {66, 140},
{67, 141}, {70, 136}, {71, 137}, {68, 139}, {69, 138}, {72, 135}, {73, 134},
{64, 144}, {125, 173}, {122, 170}, {123, 171}, {67, 145}, {124, 174}, {66, 145},
{122, 169}, {124, 175}, {69, 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: (1, 38)(2, 30)(3, 31)(4, 71)(5, 70)(6, 145)(7, 142)(8, 185)(9, 186)(10,
130)(11, 131)(12, 133)(13, 132)(14, 126)(15, 127)(16, 189)(17, 190)(18, 149)(19,
150)(20, 158)(21, 157)(22, 174)(23, 173)(24, 176)(25, 175)(26, 81)(27, 80)(28,
85)(29, 84)(32, 154)(33, 153)(34, 75)(35, 74)(36, 77)(37, 76)(39, 147)(40,
41)(42, 60)(43, 61)(44, 58)(45, 59)(46, 49)(47, 48)(50, 182)(51, 181)(52,
118)(53, 119)(54, 110)(55, 111)(56, 112)(57, 113)(62, 97)(63, 96)(64, 168)(65,
167)(66, 99)(67, 98)(72, 155)(73, 156)(78, 177)(79, 178)(82, 179)(83, 180)(86,
92)(87, 93)(88, 89)(90, 91)(94, 166)(95, 165)(100, 162)(101, 161)(104, 140)(105,
141)(106, 139)(107, 138)(114, 121)(115, 120)(116, 184)(117, 183)(122, 148)(123,
146)(124, 125)(128, 192)(129, 191)(134, 144)(135, 143)(136, 187)(137, 188)(151,
170)(152, 169)(159, 171)(160, 172) (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, 6)(2, 33)(3, 18)(4, 98)(5, 99)(7, 146)(8, 148)(9, 147)(10, 120)(11,
121)(12, 183)(13, 184)(14, 182)(15, 118)(16, 181)(17, 119)(19, 158)(20, 153)(21,
149)(22, 177)(23, 178)(24, 27)(25, 26)(28, 35)(29, 34)(30, 150)(31, 154)(32,
157)(36, 179)(37, 180)(38, 142)(39, 185)(40, 49)(41, 48)(42, 55)(43, 54)(44,
57)(45, 56)(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, 172)(67, 171)(72,
161)(73, 162)(74, 79)(75, 78)(76, 81)(77, 80)(82, 176)(83, 175)(84, 174)(85,
173)(86, 87)(88, 91)(89, 90)(92, 93)(94, 156)(95, 155)(96, 159)(97, 160)(100,
151)(101, 152)(102, 129)(103, 128)(104, 187)(105, 188)(106, 143)(107, 144)(108,
191)(109, 192)(114, 133)(115, 132)(116, 130)(117, 131)(122, 186)(123, 145)(134,
138)(135, 139)(136, 140)(137, 141)(165, 169)(166, 170)
c: (4, 5)(6, 9)(7, 8)(10, 12)(11, 13)(14, 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)
d: (4, 5)(10, 11)(12, 13)(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)
e: (2, 3)(4, 5)(6, 7)(8, 9)(10, 12)(11, 13)(14, 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, 109)(103,
108)(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)
f: (2, 5, 3, 4)(6, 13, 8, 12)(7, 11, 9, 10)(14, 16)(15, 17)(18, 22, 21, 23)(19,
25, 20, 24)(26, 28, 29, 27)(30, 37, 33, 36)(31, 34, 32, 35)(38, 41, 39, 40)(42,
48, 45, 46)(43, 47, 44, 49)(50, 54, 53, 55)(51, 57, 52, 56)(58, 59)(60, 61)(62,
68, 66, 64)(63, 65, 67, 69)(70, 74, 72, 76)(71, 77, 73, 75)(78, 91, 84, 93)(79,
92, 85, 90)(80, 89, 82, 87)(81, 86, 83, 88)(94, 96, 97, 95)(98, 100, 101,
99)(102, 106, 108, 105)(103, 104, 109, 107)(110, 116, 112, 115)(111, 114, 113,
117)(118, 120, 119, 121)(122, 125, 123, 124)(126, 129, 127, 128)(130, 137, 132,
134)(131, 135, 133, 136)(138, 141)(139, 140)(142, 143, 145, 144)(149, 151, 150,
152)(153, 156, 154, 155)(157, 160, 158, 159)(161, 164, 165, 167)(162, 168, 166,
163)(169, 173, 172, 175)(170, 176, 171, 174)(177, 178, 180, 179)(181, 183, 182,
184)(185, 187, 186, 188)(189, 191, 190, 192)
C4[ 192, 204 ]
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 99 18 98
-7 19 96 97 32
-8 100 101 30 21
-9 94 95 20 31
-10 34 24 94 96
-11 35 25 95 97
-12 99 23 101 37
-13 22 100 36 98
-14 36 37 18 21
-15 34 35 19 20
-16 22 33 23 30
-17 24 25 31 32
-18 122 14 6 50
-19 122 15 7 51
-20 123 15 52 9
-21 123 14 8 53
-22 13 125 16 54
-23 55 12 124 16
-24 56 124 17 10
-25 11 57 125 17
-26 44 121 46 119
-27 45 47 119 120
-28 121 49 118 42
-29 48 118 43 120
-30 16 38 51 8
-31 38 17 50 9
-32 17 39 7 53
-33 16 6 39 52
-34 15 41 10 54
-35 11 55 15 40
-36 56 13 14 40
-37 12 57 14 41
-38 70 71 30 31
-39 33 72 73 32
-40 35 36 75 76
-41 77 34 37 74
-42 90 178 28 87
-43 177 91 29 86
-44 88 26 180 93
-45 89 179 92 27
-46 177 26 82 85
-47 178 27 83 84
-48 79 80 180 29
-49 78 179 81 28
-50 82 83 18 31
-51 78 79 19 30
-52 33 84 85 20
-53 80 81 21 32
-54 22 88 34 87
-55 23 89 35 86
-56 24 90 36 93
-57 25 91 37 92
-58 89 81 83 87
-59 88 80 82 86
-60 79 91 93 85
-61 78 90 92 84
-62 102 140 131 142
-63 103 130 141 142
-64 144 136 105 139
-65 143 104 137 138
-66 133 145 140 108
-67 132 145 141 109
-68 143 135 106 139
-69 144 134 138 107
-70 136 38 117 129
-71 38 137 116 128
-72 135 114 39 128
-73 134 115 39 129
-74 111 127 41 131
-75 110 127 40 130
-76 133 113 126 40
-77 132 112 126 41
-78 49 61 116 51
-79 48 60 51 117
-80 48 59 115 53
-81 58 114 49 53
-82 46 59 50 116
-83 47 58 50 117
-84 47 115 61 52
-85 46 114 60 52
-86 55 113 59 43
-87 112 58 42 54
-88 44 111 59 54
-89 55 110 45 58
-90 56 113 61 42
-91 57 112 60 43
-92 45 111 57 61
-93 44 110 56 60
-94 107 9 108 10
-95 11 106 9 109
-96 103 105 7 10
-97 11 102 104 7
-98 13 6 105 109
-99 12 104 6 108
-100 13 102 8 107
-101 12 103 106 8
-102 100 62 162 97
-103 101 161 63 96
-104 99 97 65 164
-105 96 64 163 98
-106 68 101 168 95
-107 100 167 69 94
-108 66 99 166 94
-109 165 67 95 98
-110 89 93 75 174
-111 88 92 74 173
-112 77 176 91 87
-113 90 86 76 175
-114 81 72 172 85
-115 80 171 73 84
-116 78 71 82 170
-117 79 70 169 83
-118 158 28 29 153
-119 154 157 26 27
-120 156 27 159 29
-121 155 26 28 160
-122 169 170 18 19
-123 171 172 20 21
-124 23 24 174 175
-125 22 176 25 173
-126 77 157 149 76
-127 158 150 74 75
-128 71 159 72 152
-129 70 160 73 151
-130 176 166 63 75
-131 165 62 74 175
-132 77 67 162 174
-133 66 161 173 76
-134 69 168 170 73
-135 68 167 169 72
-136 70 172 64 164
-137 71 171 163 65
-138 166 69 162 65
-139 165 68 161 64
-140 66 167 62 164
-141 67 168 63 163
-142 154 62 150 63
-143 155 68 152 65
-144 156 69 151 64
-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
-161 133 103 139 185
-162 132 102 138 185
-163 188 137 105 141
-164 187 136 104 140
-165 139 109 131 186
-166 138 108 130 186
-167 188 135 107 140
-168 187 134 106 141
-169 122 135 192 117
-170 122 134 191 116
-171 123 115 137 192
-172 123 114 136 191
-173 111 133 189 125
-174 110 132 189 124
-175 113 124 190 131
-176 112 190 125 130
-177 46 181 184 43
-178 47 181 183 42
-179 45 49 182 184
-180 44 48 182 183
-181 177 2 178 150
-182 3 179 180 149
-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