Graph forms
for C4 [ 200, 42 ] = SS[200,15]
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On this page are computer-accessible forms for the graph C4[ 200, 42 ] =
SS[200,15].
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {86, 87}, {1, 3}, {188, 190}, {1, 2}, {1, 5}, {187, 191}, {185,
189}, {1, 4}, {83, 90}, {48, 59}, {80, 91}, {81, 90}, {82, 89}, {112, 123},
{112, 124}, {84, 89}, {85, 88}, {8, 24}, {40, 56}, {37, 53}, {9, 25}, {9, 24},
{38, 55}, {12, 29}, {10, 27}, {7, 21}, {39, 53}, {38, 52}, {8, 26}, {110, 124},
{6, 21}, {47, 60}, {46, 61}, {45, 62}, {42, 57}, {41, 58}, {39, 52}, {13, 30},
{14, 26}, {39, 51}, {79, 91}, {111, 123}, {10, 31}, {42, 63}, {9, 31}, {11, 28},
{14, 25}, {6, 30}, {134, 159}, {166, 191}, {13, 23}, {165, 191}, {164, 190}, {6,
29}, {12, 23}, {7, 28}, {132, 159}, {7, 27}, {161, 189}, {10, 22}, {97, 125},
{11, 22}, {163, 190}, {37, 56}, {130, 159}, {40, 54}, {40, 55}, {162, 189}, {96,
127}, {97, 126}, {6, 38}, {70, 102}, {67, 99}, {16, 48}, {94, 126}, {24, 57},
{82, 115}, {84, 117}, {129, 160}, {130, 163}, {132, 165}, {7, 37}, {72, 106},
{71, 101}, {69, 103}, {24, 58}, {19, 49}, {80, 114}, {95, 125}, {21, 54}, {142,
173}, {141, 174}, {92, 127}, {131, 160}, {136, 171}, {70, 98}, {73, 109}, {26,
63}, {138, 175}, {81, 116}, {83, 118}, {85, 112}, {129, 164}, {131, 166}, {133,
160}, {20, 50}, {69, 99}, {68, 98}, {64, 102}, {21, 51}, {74, 108}, {86, 112},
{15, 40}, {143, 168}, {140, 171}, {139, 172}, {138, 173}, {137, 174}, {136,
175}, {133, 162}, {134, 161}, {8, 32}, {66, 106}, {64, 104}, {22, 62}, {15, 39},
{14, 38}, {12, 36}, {8, 33}, {156, 181}, {10, 35}, {65, 107}, {67, 105}, {75,
97}, {9, 34}, {158, 181}, {157, 182}, {155, 176}, {143, 164}, {23, 60}, {22,
61}, {14, 37}, {11, 32}, {135, 172}, {23, 59}, {73, 101}, {72, 100}, {71, 107},
{68, 104}, {65, 109}, {76, 96}, {77, 97}, {12, 33}, {155, 182}, {128, 173}, {13,
35}, {74, 100}, {66, 108}, {78, 96}, {11, 36}, {158, 177}, {157, 178}, {13, 34},
{75, 120}, {156, 175}, {154, 169}, {153, 170}, {150, 165}, {149, 166}, {144,
163}, {128, 179}, {146, 167}, {151, 162}, {77, 122}, {148, 163}, {147, 164},
{146, 165}, {145, 166}, {144, 167}, {78, 121}, {135, 176}, {18, 42}, {137, 176},
{152, 161}, {147, 170}, {145, 168}, {139, 178}, {18, 41}, {154, 161}, {153,
162}, {76, 119}, {17, 45}, {140, 177}, {148, 169}, {79, 113}, {16, 47}, {152,
167}, {151, 168}, {150, 169}, {149, 170}, {142, 177}, {141, 178}, {20, 43}, {19,
44}, {17, 46}, {55, 118}, {52, 119}, {55, 116}, {54, 114}, {54, 113}, {31, 84},
{56, 115}, {52, 121}, {56, 117}, {53, 120}, {53, 122}, {62, 110}, {27, 74}, {27,
73}, {61, 111}, {60, 110}, {31, 77}, {59, 111}, {30, 72}, {63, 105}, {159, 200},
{25, 65}, {63, 103}, {28, 69}, {30, 71}, {29, 68}, {26, 64}, {28, 70}, {25, 66},
{29, 67}, {62, 94}, {60, 93}, {61, 95}, {167, 196}, {43, 79}, {58, 94}, {51,
87}, {57, 92}, {57, 95}, {45, 74}, {160, 199}, {59, 92}, {58, 93}, {50, 85},
{49, 86}, {47, 72}, {46, 73}, {41, 64}, {171, 194}, {32, 75}, {175, 196}, {168,
195}, {51, 88}, {47, 68}, {46, 69}, {45, 70}, {42, 65}, {41, 66}, {36, 79}, {34,
78}, {173, 193}, {33, 76}, {172, 194}, {169, 198}, {174, 193}, {170, 197}, {33,
81}, {34, 83}, {36, 85}, {32, 82}, {186, 200}, {35, 80}, {183, 196}, {180, 199},
{176, 195}, {48, 67}, {183, 195}, {35, 86}, {181, 192}, {182, 192}, {48, 71},
{178, 197}, {177, 198}, {44, 84}, {43, 82}, {187, 194}, {185, 192}, {50, 75},
{43, 81}, {179, 200}, {44, 80}, {49, 77}, {184, 197}, {188, 193}, {186, 199},
{50, 76}, {184, 198}, {44, 83}, {49, 78}, {20, 183}, {17, 185}, {16, 185}, {19,
186}, {18, 187}, {17, 187}, {19, 184}, {16, 188}, {18, 188}, {20, 186}, {15,
184}, {15, 183}, {3, 191}, {3, 190}, {3, 189}, {2, 194}, {5, 197}, {4, 196}, {2,
192}, {5, 199}, {4, 198}, {2, 193}, {88, 155}, {88, 156}, {5, 195}, {87, 158},
{124, 181}, {125, 180}, {87, 157}, {127, 180}, {4, 200}, {123, 182}, {126, 179},
{123, 180}, {124, 179}, {125, 172}, {127, 174}, {126, 171}, {90, 130}, {89,
131}, {94, 132}, {90, 129}, {95, 131}, {89, 132}, {91, 134}, {92, 129}, {93,
128}, {91, 133}, {93, 130}, {96, 128}, {103, 135}, {105, 137}, {108, 140}, {117,
149}, {115, 146}, {104, 138}, {115, 145}, {118, 148}, {117, 150}, {106, 142},
{116, 144}, {118, 147}, {105, 143}, {107, 141}, {109, 139}, {113, 151}, {110,
134}, {114, 154}, {113, 152}, {111, 133}, {114, 153}, {102, 136}, {120, 136},
{122, 139}, {99, 151}, {102, 146}, {121, 141}, {103, 145}, {122, 140}, {121,
142}, {99, 155}, {101, 157}, {104, 144}, {107, 147}, {109, 149}, {98, 152},
{100, 158}, {108, 150}, {116, 143}, {101, 153}, {119, 138}, {98, 156}, {100,
154}, {106, 148}, {119, 137}, {120, 135} }>;
(II) A more general form is to represent the graph as the orbit of {86, 87}
under the group generated by the following permutations:
a: (2, 5)(3, 4)(6, 8)(7, 9)(11, 13)(15, 18)(16, 20)(17, 19)(21, 24)(22, 35)(23,
36)(25, 37)(26, 38)(27, 31)(28, 34)(29, 33)(30, 32)(39, 42)(40, 41)(43, 47)(44,
45)(46, 49)(48, 50)(51, 57)(52, 63)(53, 65)(54, 58)(55, 64)(56, 66)(59, 85)(60,
79)(61, 86)(62, 80)(67, 76)(68, 81)(69, 78)(70, 83)(71, 75)(72, 82)(73, 77)(74,
84)(87, 95)(88, 92)(89, 100)(90, 98)(91, 110)(93, 113)(94, 114)(96, 99)(97,
101)(102, 118)(103, 121)(104, 116)(105, 119)(106, 115)(107, 120)(108, 117)(109,
122)(111, 112)(124, 133)(125, 157)(126, 153)(127, 155)(128, 151)(129, 156)(130,
152)(131, 158)(132, 154)(135, 141)(136, 147)(138, 143)(140, 149)(142, 145)(146,
148)(159, 161)(160, 181)(162, 179)(163, 167)(164, 175)(165, 169)(166, 177)(168,
173)(170, 171)(172, 178)(174, 176)(180, 182)(183, 188)(184, 187)(185, 186)(189,
200)(190, 196)(191, 198)(192, 199)(193, 195)(194, 197) (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: (8, 9)(10, 11)(12, 13)(19, 20)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35,
36)(43, 44)(49, 50)(63, 65)(64, 66)(67, 71)(68, 72)(69, 73)(70, 74)(75, 77)(76,
78)(79, 80)(81, 83)(82, 84)(85, 86)(87, 88)(98, 100)(99, 101)(102, 108)(103,
109)(104, 106)(105, 107)(113, 114)(115, 117)(116, 118)(119, 121)(120, 122)(135,
139)(136, 140)(137, 141)(138, 142)(143, 147)(144, 148)(145, 149)(146, 150)(151,
153)(152, 154)(155, 157)(156, 158)(167, 169)(168, 170)(175, 177)(176, 178)(183,
184)(195, 197)(196, 198)
c: (1, 6, 191, 52, 189, 14)(2, 21, 187, 39, 185, 37)(3, 38)(4, 30, 166, 119,
161, 25, 5, 29, 165, 121, 162, 26)(7, 194, 51, 17, 53, 192)(8, 200, 13, 131, 76,
134, 9, 199, 12, 132, 78, 133)(10, 125, 85, 62, 77, 123, 11, 126, 86, 61, 75,
124)(15, 16, 56, 193, 54, 18)(19, 59, 82, 128, 80, 57, 20, 60, 84, 127, 79,
58)(22, 97, 112)(23, 89, 96, 91, 24, 186)(27, 172, 88, 45, 122, 182, 28, 171,
87, 46, 120, 181)(31, 180, 36, 94, 49, 111, 32, 179, 35, 95, 50, 110)(33, 159,
34, 160)(40, 188)(41, 184, 48, 115, 173, 114, 42, 183, 47, 117, 174, 113)(43,
93, 44, 92)(55, 190)(63, 196, 72, 149, 137, 152, 66, 197, 67, 146, 142, 153)(64,
198, 71, 145, 138, 154, 65, 195, 68, 150, 141, 151)(69, 136, 158, 73, 135, 156,
74, 139, 155, 70, 140, 157)(81, 130, 83, 129)(98, 108, 178, 99, 102, 177, 101,
103, 175, 100, 109, 176)(104, 169, 107, 168)(105, 167, 106, 170)(116, 163, 118,
164)(143, 144, 148, 147)
d: (4, 5)(6, 7)(8, 9)(10, 12)(11, 13)(16, 17)(19, 20)(22, 23)(25, 26)(27,
29)(28, 30)(31, 33)(32, 34)(35, 36)(37, 38)(41, 42)(43, 44)(45, 48)(46, 47)(49,
50)(52, 53)(55, 56)(57, 58)(59, 62)(60, 61)(63, 66)(64, 65)(67, 74)(68, 73)(69,
72)(70, 71)(75, 78)(76, 77)(79, 80)(81, 84)(82, 83)(85, 86)(87, 88)(89, 90)(92,
94)(93, 95)(96, 97)(98, 101)(99, 100)(102, 107)(103, 106)(104, 109)(105,
108)(110, 111)(113, 114)(115, 118)(116, 117)(119, 122)(120, 121)(123, 124)(125,
128)(126, 127)(129, 132)(130, 131)(133, 134)(135, 142)(136, 141)(137, 140)(138,
139)(143, 150)(144, 149)(145, 148)(146, 147)(151, 154)(152, 153)(155, 158)(156,
157)(159, 160)(161, 162)(163, 166)(164, 165)(167, 170)(168, 169)(171, 174)(172,
173)(175, 178)(176, 177)(179, 180)(181, 182)(183, 184)(187, 188)(190, 191)(193,
194)(195, 198)(196, 197)(199, 200)
e: (2, 3)(39, 40)(43, 50)(44, 49)(51, 54)(52, 55)(53, 56)(75, 82)(76, 81)(77,
84)(78, 83)(79, 85)(80, 86)(87, 114)(88, 113)(89, 97)(90, 96)(91, 112)(115,
120)(116, 119)(117, 122)(118, 121)(123, 133)(124, 134)(125, 131)(126, 132)(127,
129)(128, 130)(135, 145)(136, 146)(137, 143)(138, 144)(139, 149)(140, 150)(141,
147)(142, 148)(151, 155)(152, 156)(153, 157)(154, 158)(159, 179)(160, 180)(161,
181)(162, 182)(163, 173)(164, 174)(165, 171)(166, 172)(167, 175)(168, 176)(169,
177)(170, 178)(189, 192)(190, 193)(191, 194)
f: (4, 5)(7, 14)(8, 10)(9, 11)(12, 13)(17, 18)(19, 20)(21, 38)(22, 24)(25,
28)(26, 27)(29, 30)(31, 32)(33, 35)(34, 36)(41, 46)(42, 45)(43, 44)(47, 48)(49,
50)(51, 52)(54, 55)(57, 62)(58, 61)(59, 60)(63, 74)(64, 73)(65, 70)(66, 69)(67,
72)(68, 71)(75, 77)(76, 86)(78, 85)(79, 83)(80, 81)(82, 84)(87, 119)(88,
121)(90, 91)(92, 110)(93, 111)(94, 95)(96, 112)(98, 107)(99, 106)(100, 105)(101,
104)(102, 109)(103, 108)(113, 118)(114, 116)(115, 117)(120, 122)(123, 128)(124,
127)(125, 126)(129, 134)(130, 133)(131, 132)(135, 140)(136, 139)(137, 158)(138,
157)(141, 156)(142, 155)(143, 154)(144, 153)(145, 150)(146, 149)(147, 152)(148,
151)(159, 160)(161, 164)(162, 163)(165, 166)(167, 170)(168, 169)(171, 172)(173,
182)(174, 181)(175, 178)(176, 177)(179, 180)(183, 184)(185, 188)(189, 190)(192,
193)(195, 198)(196, 197)(199, 200)
g: (4, 5)(41, 42)(45, 46)(47, 48)(57, 58)(59, 60)(61, 62)(63, 64)(65, 66)(67,
68)(69, 70)(71, 72)(73, 74)(92, 93)(94, 95)(98, 99)(100, 101)(102, 103)(104,
105)(106, 107)(108, 109)(110, 111)(123, 124)(125, 126)(127, 128)(129, 130)(131,
132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 144)(145, 146)(147,
148)(149, 150)(151, 152)(153, 154)(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)(181, 182)(195, 196)(197, 198)(199, 200)
C4[ 200, 42 ]
200
-1 2 3 4 5
-2 1 192 193 194
-3 1 189 190 191
-4 198 1 200 196
-5 1 199 195 197
-6 38 29 30 21
-7 37 27 28 21
-8 33 24 26 32
-9 34 24 25 31
-10 22 35 27 31
-11 22 36 28 32
-12 33 23 36 29
-13 23 34 35 30
-14 25 26 37 38
-15 39 40 183 184
-16 188 47 48 185
-17 187 45 46 185
-18 187 188 41 42
-19 44 49 184 186
-20 50 183 43 186
-21 6 7 51 54
-22 11 61 62 10
-23 12 13 59 60
-24 57 58 8 9
-25 66 14 9 65
-26 14 8 63 64
-27 7 73 74 10
-28 11 69 70 7
-29 12 67 68 6
-30 13 71 6 72
-31 77 84 9 10
-32 11 82 8 75
-33 12 81 8 76
-34 78 13 83 9
-35 13 80 86 10
-36 11 12 79 85
-37 56 14 7 53
-38 55 14 6 52
-39 15 51 52 53
-40 55 56 15 54
-41 66 58 18 64
-42 57 18 63 65
-43 79 81 82 20
-44 80 83 84 19
-45 70 17 62 74
-46 69 17 61 73
-47 68 16 60 72
-48 67 59 16 71
-49 77 78 19 86
-50 85 20 75 76
-51 88 39 21 87
-52 121 38 39 119
-53 122 37 39 120
-54 113 114 40 21
-55 38 116 40 118
-56 37 115 40 117
-57 24 92 95 42
-58 24 93 94 41
-59 23 111 48 92
-60 110 23 47 93
-61 22 111 46 95
-62 22 110 45 94
-63 26 103 105 42
-64 102 26 104 41
-65 25 107 42 109
-66 25 106 41 108
-67 99 48 105 29
-68 47 104 29 98
-69 99 46 103 28
-70 45 102 28 98
-71 101 48 30 107
-72 100 47 106 30
-73 46 101 27 109
-74 45 100 27 108
-75 50 97 32 120
-76 33 50 96 119
-77 122 49 31 97
-78 121 34 49 96
-79 36 91 113 43
-80 44 35 91 114
-81 33 90 116 43
-82 89 115 32 43
-83 44 34 90 118
-84 44 89 117 31
-85 88 112 36 50
-86 35 112 49 87
-87 157 158 51 86
-88 155 156 51 85
-89 132 82 84 131
-90 81 83 129 130
-91 133 79 134 80
-92 57 59 127 129
-93 58 60 128 130
-94 132 58 126 62
-95 57 125 61 131
-96 78 127 128 76
-97 77 125 126 75
-98 68 156 70 152
-99 67 155 69 151
-100 154 158 72 74
-101 157 71 73 153
-102 146 70 136 64
-103 145 69 135 63
-104 144 68 138 64
-105 143 67 137 63
-106 66 148 72 142
-107 147 71 141 65
-108 66 150 74 140
-109 149 73 139 65
-110 134 124 60 62
-111 133 123 59 61
-112 123 124 85 86
-113 79 151 152 54
-114 154 80 54 153
-115 56 145 146 82
-116 55 143 144 81
-117 56 149 84 150
-118 55 147 148 83
-119 137 138 52 76
-120 135 136 53 75
-121 78 52 141 142
-122 77 139 140 53
-123 111 112 180 182
-124 110 112 179 181
-125 180 95 172 97
-126 179 94 171 97
-127 92 180 96 174
-128 179 93 96 173
-129 90 92 160 164
-130 90 93 159 163
-131 89 166 160 95
-132 165 89 159 94
-133 111 91 160 162
-134 110 91 159 161
-135 176 103 172 120
-136 102 171 120 175
-137 176 105 119 174
-138 104 173 119 175
-139 122 178 172 109
-140 122 177 171 108
-141 121 178 107 174
-142 121 177 106 173
-143 168 105 116 164
-144 167 104 116 163
-145 166 168 103 115
-146 165 167 102 115
-147 170 107 118 164
-148 169 106 118 163
-149 166 170 117 109
-150 165 169 117 108
-151 99 113 168 162
-152 167 113 161 98
-153 101 114 170 162
-154 100 114 169 161
-155 88 99 176 182
-156 88 181 98 175
-157 101 178 182 87
-158 100 177 181 87
-159 132 134 200 130
-160 133 199 129 131
-161 154 134 189 152
-162 133 189 151 153
-163 144 190 148 130
-164 143 190 147 129
-165 132 146 191 150
-166 145 191 149 131
-167 144 146 152 196
-168 143 145 151 195
-169 154 198 148 150
-170 147 149 153 197
-171 136 126 194 140
-172 135 125 139 194
-173 138 193 128 142
-174 137 127 193 141
-175 156 136 138 196
-176 155 135 137 195
-177 198 158 140 142
-178 157 139 141 197
-179 200 124 126 128
-180 199 123 125 127
-181 156 124 158 192
-182 155 123 157 192
-183 15 195 20 196
-184 198 15 19 197
-185 189 16 192 17
-186 199 200 19 20
-187 191 17 18 194
-188 190 16 193 18
-189 3 161 162 185
-190 188 3 163 164
-191 165 187 166 3
-192 2 181 182 185
-193 188 2 173 174
-194 187 2 171 172
-195 176 168 5 183
-196 167 4 183 175
-197 178 5 170 184
-198 177 4 169 184
-199 180 5 160 186
-200 179 4 159 186
0