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