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