Graph forms
for C4 [ 192, 210 ] = SS[192,110]
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On this page are computer-accessible forms for the graph C4[ 192, 210 ] =
SS[192,110].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {144, 145}, {1, 3}, {144, 146}, {17, 19}, {16, 18}, {1, 2}, {144,
147}, {1, 5}, {144, 148}, {1, 4}, {33, 36}, {32, 37}, {17, 20}, {16, 21}, {88,
93}, {89, 92}, {17, 23}, {17, 22}, {16, 24}, {16, 25}, {84, 93}, {85, 92}, {86,
95}, {87, 94}, {180, 190}, {48, 59}, {49, 58}, {32, 44}, {177, 189}, {33, 45},
{82, 94}, {83, 95}, {86, 91}, {179, 190}, {87, 90}, {84, 91}, {178, 189}, {176,
191}, {85, 90}, {10, 26}, {166, 182}, {142, 158}, {139, 155}, {137, 153}, {11,
27}, {46, 63}, {174, 191}, {139, 154}, {47, 62}, {12, 30}, {143, 157}, {139,
153}, {138, 152}, {13, 31}, {46, 61}, {171, 184}, {165, 182}, {140, 159}, {47,
60}, {12, 24}, {136, 156}, {135, 147}, {134, 146}, {41, 61}, {13, 25}, {8, 29},
{41, 60}, {9, 28}, {142, 152}, {139, 156}, {6, 30}, {162, 186}, {143, 151},
{137, 145}, {38, 62}, {15, 23}, {14, 22}, {6, 31}, {140, 149}, {38, 63}, {8,
18}, {142, 148}, {9, 19}, {6, 29}, {172, 183}, {161, 186}, {160, 187}, {141,
150}, {7, 28}, {6, 26}, {169, 181}, {143, 147}, {141, 145}, {138, 150}, {136,
148}, {135, 155}, {134, 154}, {39, 59}, {7, 27}, {39, 58}, {138, 151}, {140,
146}, {10, 21}, {170, 181}, {168, 183}, {167, 184}, {164, 187}, {163, 188},
{138, 149}, {11, 20}, {133, 165}, {154, 186}, {153, 185}, {66, 99}, {67, 98},
{68, 101}, {69, 100}, {132, 166}, {149, 182}, {159, 188}, {150, 181}, {131,
167}, {157, 185}, {70, 99}, {71, 98}, {76, 105}, {77, 104}, {7, 33}, {129, 167},
{80, 118}, {7, 32}, {158, 185}, {156, 187}, {155, 188}, {64, 103}, {65, 102},
{81, 118}, {128, 168}, {70, 111}, {141, 164}, {130, 171}, {71, 110}, {130, 168},
{78, 101}, {148, 191}, {79, 100}, {80, 123}, {81, 122}, {66, 110}, {142, 162},
{140, 160}, {133, 169}, {67, 111}, {72, 101}, {73, 100}, {74, 103}, {75, 102},
{129, 175}, {143, 161}, {141, 163}, {132, 170}, {14, 33}, {152, 183}, {151,
184}, {146, 189}, {145, 190}, {131, 172}, {15, 32}, {128, 176}, {76, 126}, {77,
127}, {80, 98}, {81, 99}, {82, 96}, {83, 97}, {64, 115}, {65, 114}, {74, 121},
{75, 120}, {78, 125}, {79, 124}, {18, 38}, {31, 43}, {30, 42}, {25, 45}, {24,
44}, {19, 39}, {68, 112}, {69, 113}, {28, 41}, {29, 40}, {76, 121}, {77, 120},
{26, 34}, {79, 119}, {27, 34}, {72, 113}, {73, 112}, {78, 119}, {88, 97}, {89,
96}, {30, 36}, {31, 37}, {20, 40}, {21, 41}, {22, 43}, {27, 38}, {26, 39}, {23,
42}, {29, 35}, {28, 35}, {56, 127}, {57, 126}, {60, 117}, {61, 116}, {54, 124},
{55, 125}, {62, 114}, {63, 115}, {52, 122}, {53, 123}, {58, 117}, {59, 116},
{10, 88}, {10, 89}, {147, 192}, {59, 104}, {58, 105}, {14, 88}, {62, 104}, {15,
89}, {63, 105}, {11, 83}, {57, 97}, {56, 96}, {13, 85}, {12, 84}, {11, 82}, {15,
86}, {14, 87}, {60, 103}, {61, 102}, {9, 85}, {9, 84}, {8, 86}, {13, 83}, {12,
82}, {8, 87}, {44, 73}, {45, 72}, {34, 74}, {51, 91}, {50, 90}, {43, 67}, {42,
66}, {40, 64}, {34, 75}, {55, 94}, {54, 95}, {53, 92}, {52, 93}, {40, 65}, {36,
79}, {47, 68}, {46, 69}, {45, 70}, {44, 71}, {37, 78}, {46, 66}, {47, 67}, {173,
192}, {35, 77}, {43, 69}, {42, 68}, {35, 76}, {175, 192}, {48, 64}, {49, 65},
{36, 80}, {37, 81}, {24, 109}, {25, 108}, {48, 71}, {49, 70}, {18, 106}, {49,
73}, {48, 72}, {19, 106}, {22, 109}, {23, 108}, {21, 107}, {20, 107}, {56, 136},
{5, 183}, {52, 134}, {51, 129}, {50, 128}, {53, 134}, {3, 182}, {55, 130}, {54,
131}, {50, 135}, {2, 181}, {53, 130}, {52, 131}, {51, 132}, {50, 133}, {4, 188},
{3, 186}, {2, 185}, {51, 136}, {4, 191}, {4, 184}, {3, 190}, {57, 132}, {56,
133}, {5, 187}, {57, 135}, {55, 137}, {2, 189}, {54, 137}, {106, 174}, {107,
175}, {5, 192}, {105, 175}, {106, 173}, {102, 174}, {123, 179}, {74, 128}, {75,
129}, {97, 171}, {103, 173}, {110, 164}, {96, 172}, {110, 162}, {111, 163},
{124, 177}, {111, 161}, {122, 180}, {125, 178}, {98, 178}, {100, 180}, {112,
160}, {115, 163}, {122, 170}, {126, 174}, {99, 177}, {123, 169}, {126, 172},
{127, 173}, {116, 160}, {127, 171}, {116, 161}, {101, 179}, {114, 164}, {117,
162}, {104, 176}, {108, 180}, {125, 165}, {124, 166}, {107, 176}, {109, 177},
{108, 178}, {109, 179}, {120, 152}, {119, 150}, {118, 149}, {120, 155}, {121,
156}, {117, 159}, {113, 157}, {115, 158}, {119, 154}, {112, 158}, {113, 159},
{121, 151}, {114, 157}, {118, 153}, {91, 168}, {94, 170}, {95, 169}, {93, 165},
{92, 166}, {90, 167} }>;
(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: (4, 5)(12, 13)(14, 15)(22, 23)(24, 25)(30, 31)(32, 33)(36, 37)(42, 43)(44,
45)(46, 47)(48, 49)(50, 51)(52, 53)(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)(108, 109)(110, 111)(112, 113)(114, 115)(116, 117)(120, 121)(122,
123)(124, 125)(126, 127)(128, 129)(130, 131)(132, 133)(135, 136)(142, 143)(147,
148)(151, 152)(155, 156)(157, 158)(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) (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, 144, 7)(2, 26, 145, 28)(3, 29, 146, 27)(4, 31, 147, 33)(5, 30, 148,
32)(8, 140, 11, 186)(9, 185, 10, 141)(12, 142, 15, 187)(13, 143, 14, 188)(16,
138, 17, 139)(18, 149, 20, 154)(19, 153, 21, 150)(22, 155, 25, 151)(23, 156, 24,
152)(34, 190, 35, 189)(36, 191, 37, 192)(38, 182, 40, 134)(39, 137, 41, 181)(42,
136, 44, 183)(43, 135, 45, 184)(46, 132, 49, 131)(47, 133, 48, 130)(50, 72, 171,
67)(51, 73, 172, 66)(52, 63, 166, 65)(53, 62, 165, 64)(54, 61, 170, 58)(55, 60,
169, 59)(56, 71, 168, 68)(57, 70, 167, 69)(74, 179, 77, 178)(75, 180, 76,
177)(78, 173, 80, 176)(79, 174, 81, 175)(82, 162, 86, 160)(83, 161, 87, 159)(84,
158, 89, 164)(85, 157, 88, 163)(90, 113, 97, 111)(91, 112, 96, 110)(92, 114, 93,
115)(94, 117, 95, 116)(98, 128, 101, 127)(99, 129, 100, 126)(102, 122, 105,
124)(103, 123, 104, 125)(106, 118, 107, 119)(108, 121, 109, 120)
c: (4, 5)(6, 7)(8, 11)(9, 10)(12, 14)(13, 15)(16, 17)(18, 20)(19, 21)(22,
24)(23, 25)(26, 28)(27, 29)(30, 33)(31, 32)(34, 35)(38, 40)(39, 41)(42, 45)(43,
44)(46, 49)(47, 48)(50, 56)(51, 57)(58, 61)(59, 60)(62, 64)(63, 65)(66, 70)(67,
71)(68, 72)(69, 73)(74, 77)(75, 76)(82, 87)(83, 86)(84, 88)(85, 89)(90, 96)(91,
97)(102, 105)(103, 104)(106, 107)(110, 111)(112, 113)(114, 115)(116, 117)(120,
121)(126, 129)(127, 128)(135, 136)(142, 143)(147, 148)(151, 152)(155, 156)(157,
158)(159, 160)(161, 162)(163, 164)(167, 172)(168, 171)(173, 176)(174, 175)(183,
184)(187, 188)(191, 192)
d: (2, 3)(4, 5)(6, 7)(8, 9)(10, 11)(12, 14)(13, 15)(16, 17)(18, 19)(20, 21)(22,
24)(23, 25)(26, 27)(28, 29)(30, 33)(31, 32)(38, 39)(40, 41)(42, 45)(43, 44)(46,
48)(47, 49)(50, 51)(52, 55)(53, 54)(56, 57)(58, 62)(59, 63)(60, 65)(61, 64)(66,
72)(67, 73)(68, 70)(69, 71)(74, 75)(76, 77)(78, 81)(79, 80)(82, 88)(83, 89)(84,
87)(85, 86)(90, 91)(92, 95)(93, 94)(96, 97)(98, 100)(99, 101)(102, 103)(104,
105)(110, 113)(111, 112)(114, 117)(115, 116)(118, 119)(120, 121)(122, 125)(123,
124)(126, 127)(128, 129)(130, 131)(132, 133)(134, 137)(135, 136)(140, 141)(142,
143)(145, 146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 162)(158,
161)(159, 164)(160, 163)(165, 170)(166, 169)(167, 168)(171, 172)(173, 174)(175,
176)(177, 179)(178, 180)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191,
192)
e: (1, 34, 109, 139, 106, 37)(2, 74, 22, 153, 173, 31)(3, 75, 24, 154, 174,
32)(4, 27, 179, 155, 18, 78)(5, 26, 177, 156, 19, 81)(6, 189, 121, 17, 118,
192)(7, 190, 120, 16, 119, 191)(8, 125, 184, 11, 123, 135)(9, 122, 183, 10, 124,
136)(12, 134, 126, 15, 182, 129)(13, 181, 128, 14, 137, 127)(20, 80, 147, 29,
178, 151)(21, 79, 148, 28, 180, 152)(23, 149, 175, 30, 146, 76)(25, 150, 176,
33, 145, 77)(35, 108, 138, 107, 36, 144)(38, 101, 188)(39, 99, 187)(40, 98,
143)(41, 100, 142)(42, 140, 105)(43, 185, 103)(44, 186, 102)(45, 141, 104)(46,
112, 117)(47, 113, 115)(48, 111, 114)(49, 110, 116)(50, 87, 55, 171, 83,
169)(51, 84, 52, 172, 89, 166)(53, 57, 86, 165, 167, 82)(54, 56, 85, 170, 168,
88)(58, 66, 160)(59, 70, 164)(60, 69, 158)(61, 73, 162)(62, 72, 163)(63, 68,
159)(64, 67, 157)(65, 71, 161)(90, 94, 130, 97, 95, 133)(91, 93, 131, 96, 92,
132)
f: (2, 4)(3, 5)(6, 7)(8, 14)(9, 12)(10, 15)(11, 13)(16, 17)(18, 22)(19, 24)(20,
25)(21, 23)(26, 32)(27, 31)(28, 30)(29, 33)(34, 37)(35, 36)(38, 43)(39, 44)(40,
45)(41, 42)(50, 55)(51, 52)(53, 56)(54, 57)(58, 73)(59, 71)(60, 68)(61, 66)(62,
67)(63, 69)(64, 72)(65, 70)(74, 78)(75, 81)(76, 79)(77, 80)(82, 85)(86, 88)(90,
94)(91, 93)(92, 96)(95, 97)(98, 104)(99, 102)(100, 105)(101, 103)(106, 109)(107,
108)(110, 116)(111, 114)(112, 117)(113, 115)(118, 120)(119, 121)(122, 129)(123,
127)(124, 126)(125, 128)(130, 133)(131, 132)(134, 136)(135, 137)(140, 142)(141,
143)(145, 147)(146, 148)(149, 152)(150, 151)(153, 155)(154, 156)(157, 163)(158,
159)(160, 162)(161, 164)(165, 168)(166, 172)(167, 170)(169, 171)(173, 179)(174,
177)(175, 180)(176, 178)(181, 184)(182, 183)(185, 188)(186, 187)(189, 191)(190,
192)
g: (1, 8)(2, 18)(3, 29)(4, 87)(5, 86)(6, 186)(7, 140)(9, 138)(10, 139)(11,
144)(12, 142)(13, 143)(14, 188)(15, 187)(16, 185)(17, 141)(19, 150)(20, 145)(21,
153)(22, 163)(23, 164)(24, 158)(25, 157)(26, 154)(27, 146)(28, 149)(30, 162)(31,
161)(32, 160)(33, 159)(34, 134)(35, 182)(36, 117)(37, 116)(38, 189)(39, 119)(40,
190)(41, 118)(42, 110)(43, 111)(44, 112)(45, 113)(46, 99)(47, 98)(48, 101)(49,
100)(50, 171)(51, 172)(52, 75)(53, 74)(54, 175)(55, 176)(58, 79)(59, 78)(60,
80)(61, 81)(62, 178)(63, 177)(64, 179)(65, 180)(68, 71)(69, 70)(76, 166)(77,
165)(82, 148)(83, 147)(84, 152)(85, 151)(88, 155)(89, 156)(90, 184)(91, 183)(92,
121)(93, 120)(94, 191)(95, 192)(96, 136)(97, 135)(102, 122)(103, 123)(104,
125)(105, 124)(106, 181)(107, 137)(108, 114)(109, 115)(126, 132)(127, 133)(128,
130)(129, 131)(169, 173)(170, 174)
C4[ 192, 210 ]
192
-1 2 3 4 5
-2 1 189 181 185
-3 1 190 182 186
-4 1 188 191 184
-5 187 1 192 183
-6 26 29 30 31
-7 33 27 28 32
-8 18 29 86 87
-9 28 84 19 85
-10 88 89 26 21
-11 27 82 83 20
-12 24 82 84 30
-13 25 83 85 31
-14 22 33 88 87
-15 23 89 86 32
-16 24 25 18 21
-17 22 23 19 20
-18 16 38 106 8
-19 17 39 106 9
-20 11 17 40 107
-21 16 41 107 10
-22 14 17 43 109
-23 15 17 42 108
-24 44 12 16 109
-25 45 13 16 108
-26 34 6 39 10
-27 11 34 38 7
-28 35 7 41 9
-29 35 6 40 8
-30 12 36 6 42
-31 13 37 6 43
-32 44 15 37 7
-33 45 14 36 7
-34 26 27 74 75
-35 77 28 29 76
-36 33 79 80 30
-37 78 81 31 32
-38 27 18 62 63
-39 58 26 59 19
-40 29 20 64 65
-41 60 28 61 21
-42 66 23 68 30
-43 22 67 69 31
-44 24 71 73 32
-45 33 25 70 72
-46 66 69 61 63
-47 67 68 60 62
-48 59 71 72 64
-49 58 70 73 65
-50 133 90 135 128
-51 132 91 136 129
-52 122 134 93 131
-53 123 134 92 130
-54 124 137 95 131
-55 125 137 94 130
-56 133 136 127 96
-57 132 135 126 97
-58 49 39 105 117
-59 48 104 39 116
-60 47 103 117 41
-61 46 102 116 41
-62 47 114 38 104
-63 46 38 115 105
-64 48 103 115 40
-65 102 114 49 40
-66 99 110 46 42
-67 111 47 43 98
-68 101 112 47 42
-69 100 46 113 43
-70 99 45 111 49
-71 44 110 48 98
-72 45 101 113 48
-73 44 100 112 49
-74 121 34 103 128
-75 34 102 129 120
-76 121 35 126 105
-77 35 104 127 120
-78 101 37 125 119
-79 100 36 124 119
-80 123 36 118 98
-81 99 122 37 118
-82 11 12 94 96
-83 11 13 95 97
-84 12 91 93 9
-85 13 90 92 9
-86 91 15 95 8
-87 90 14 94 8
-88 14 93 97 10
-89 15 92 96 10
-90 167 50 85 87
-91 168 51 84 86
-92 89 166 85 53
-93 88 165 84 52
-94 55 82 170 87
-95 169 83 86 54
-96 56 89 82 172
-97 88 57 83 171
-98 67 178 80 71
-99 66 177 70 81
-100 79 69 180 73
-101 78 68 179 72
-102 61 75 174 65
-103 60 74 173 64
-104 77 176 59 62
-105 58 63 76 175
-106 18 19 173 174
-107 176 20 21 175
-108 23 178 25 180
-109 22 177 24 179
-110 66 71 162 164
-111 67 70 161 163
-112 68 158 160 73
-113 69 157 159 72
-114 157 62 65 164
-115 158 63 64 163
-116 59 61 160 161
-117 58 60 159 162
-118 80 81 149 153
-119 154 78 79 150
-120 77 155 75 152
-121 156 74 151 76
-122 81 180 170 52
-123 80 179 169 53
-124 166 177 79 54
-125 55 165 78 178
-126 57 172 174 76
-127 77 56 171 173
-128 176 168 50 74
-129 167 51 75 175
-130 55 168 171 53
-131 167 172 52 54
-132 166 57 170 51
-133 165 56 169 50
-134 154 146 52 53
-135 155 57 147 50
-136 56 156 148 51
-137 55 145 54 153
-138 149 150 151 152
-139 154 155 156 153
-140 146 159 149 160
-141 145 150 163 164
-142 158 148 162 152
-143 157 147 161 151
-144 145 146 147 148
-145 144 190 137 141
-146 144 134 189 140
-147 143 144 135 192
-148 144 136 191 142
-149 138 182 118 140
-150 181 138 119 141
-151 121 143 138 184
-152 138 183 120 142
-153 137 139 118 185
-154 134 139 119 186
-155 188 135 139 120
-156 121 187 136 139
-157 143 113 114 185
-158 112 115 185 142
-159 188 113 117 140
-160 187 112 116 140
-161 143 111 116 186
-162 110 117 142 186
-163 111 188 115 141
-164 110 187 114 141
-165 133 125 93 182
-166 132 124 92 182
-167 90 129 184 131
-168 91 128 183 130
-169 133 123 181 95
-170 132 122 181 94
-171 127 184 97 130
-172 126 183 96 131
-173 103 192 127 106
-174 102 191 126 106
-175 192 105 107 129
-176 191 104 128 107
-177 99 189 124 109
-178 189 125 108 98
-179 101 123 190 109
-180 100 122 190 108
-181 2 169 170 150
-182 165 166 3 149
-183 168 5 172 152
-184 167 4 171 151
-185 2 157 158 153
-186 154 3 161 162
-187 156 5 160 164
-188 155 4 159 163
-189 177 2 178 146
-190 145 3 179 180
-191 176 4 148 174
-192 147 5 173 175
0