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