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