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