Graph forms
for C4 [ 200, 32 ] = BGCG(W(10,2),C_5,4)
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On this page are computer-accessible forms for the graph C4[ 200, 32 ] =
BGCG(W(10,2),C_5,4).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {40, 44}, {160, 164}, {80, 84}, {120, 124}, {40, 45}, {160, 165},
{80, 85}, {120, 125}, {37, 45}, {117, 125}, {35, 42}, {115, 122}, {33, 43},
{113, 123}, {39, 44}, {52, 63}, {119, 124}, {132, 143}, {51, 63}, {131, 143},
{51, 62}, {131, 142}, {36, 42}, {116, 122}, {16, 31}, {176, 191}, {36, 43}, {96,
111}, {116, 123}, {15, 31}, {175, 191}, {136, 152}, {135, 151}, {79, 95}, {78,
94}, {39, 55}, {38, 54}, {96, 112}, {15, 30}, {175, 190}, {138, 155}, {78, 95},
{38, 55}, {98, 115}, {135, 150}, {14, 28}, {174, 188}, {137, 155}, {72, 90},
{32, 50}, {97, 115}, {134, 148}, {32, 51}, {140, 159}, {137, 154}, {77, 94},
{72, 91}, {37, 54}, {97, 114}, {100, 119}, {1, 21}, {172, 184}, {162, 182},
{161, 181}, {139, 159}, {42, 62}, {41, 61}, {12, 24}, {2, 22}, {99, 119}, {132,
144}, {14, 27}, {174, 187}, {139, 158}, {73, 92}, {33, 52}, {99, 118}, {134,
147}, {13, 27}, {173, 187}, {138, 156}, {75, 93}, {74, 92}, {71, 81}, {35, 53},
{34, 52}, {98, 116}, {111, 121}, {133, 147}, {2, 21}, {173, 186}, {162, 181},
{74, 93}, {70, 81}, {42, 61}, {34, 53}, {13, 26}, {110, 121}, {133, 146}, {5,
29}, {166, 190}, {165, 189}, {77, 85}, {6, 30}, {102, 126}, {103, 127}, {1, 24},
{161, 184}, {75, 82}, {65, 88}, {102, 127}, {128, 153}, {3, 25}, {163, 185},
{73, 83}, {67, 89}, {66, 88}, {128, 154}, {6, 29}, {172, 183}, {166, 189}, {79,
84}, {66, 89}, {12, 23}, {101, 126}, {11, 23}, {171, 183}, {100, 120}, {129,
157}, {130, 158}, {4, 25}, {171, 182}, {164, 185}, {71, 90}, {11, 22}, {4, 26},
{164, 186}, {76, 82}, {69, 91}, {3, 28}, {163, 188}, {136, 151}, {76, 83}, {130,
157}, {24, 56}, {144, 176}, {64, 96}, {9, 40}, {149, 180}, {147, 178}, {144,
177}, {69, 100}, {67, 98}, {64, 97}, {29, 60}, {27, 58}, {24, 57}, {89, 120},
{129, 160}, {25, 59}, {150, 180}, {145, 179}, {70, 100}, {65, 99}, {30, 60}, {7,
36}, {87, 116}, {5, 32}, {85, 112}, {7, 33}, {148, 178}, {68, 98}, {28, 58},
{87, 113}, {28, 59}, {148, 179}, {68, 99}, {142, 166}, {143, 167}, {8, 33},
{142, 167}, {25, 48}, {88, 113}, {8, 34}, {27, 49}, {26, 48}, {88, 114}, {26,
49}, {141, 166}, {9, 37}, {140, 160}, {21, 57}, {10, 38}, {89, 117}, {90, 118},
{31, 50}, {29, 51}, {10, 37}, {23, 56}, {90, 117}, {16, 32}, {159, 175}, {158,
174}, {95, 111}, {18, 35}, {158, 175}, {95, 110}, {17, 35}, {152, 170}, {94,
108}, {17, 34}, {157, 174}, {152, 171}, {20, 39}, {19, 39}, {82, 102}, {81,
101}, {92, 104}, {19, 38}, {153, 172}, {94, 107}, {18, 36}, {155, 173}, {154,
172}, {151, 161}, {31, 41}, {93, 107}, {30, 41}, {154, 173}, {150, 161}, {82,
101}, {93, 106}, {22, 46}, {157, 165}, {85, 109}, {23, 47}, {86, 110}, {22, 47},
{155, 162}, {145, 168}, {81, 104}, {83, 105}, {153, 163}, {147, 169}, {146,
168}, {21, 46}, {159, 164}, {146, 169}, {86, 109}, {92, 103}, {20, 40}, {141,
177}, {91, 103}, {84, 105}, {151, 170}, {91, 102}, {84, 106}, {156, 162}, {149,
171}, {83, 108}, {156, 163}, {143, 176}, {61, 97}, {63, 96}, {49, 80}, {169,
200}, {47, 76}, {167, 196}, {45, 72}, {165, 192}, {47, 73}, {167, 193}, {45,
69}, {63, 87}, {62, 86}, {46, 70}, {41, 64}, {168, 193}, {62, 87}, {43, 65},
{168, 194}, {46, 69}, {61, 86}, {60, 80}, {170, 198}, {169, 197}, {44, 65}, {44,
66}, {43, 68}, {170, 197}, {55, 71}, {176, 192}, {56, 72}, {55, 70}, {178, 195},
{58, 75}, {54, 68}, {177, 195}, {57, 75}, {57, 74}, {180, 199}, {177, 194}, {60,
79}, {52, 64}, {179, 199}, {59, 79}, {54, 67}, {179, 198}, {59, 78}, {53, 67},
{178, 196}, {58, 76}, {53, 66}, {48, 73}, {48, 74}, {49, 77}, {180, 200}, {50,
78}, {50, 77}, {56, 71}, {17, 181}, {16, 183}, {16, 184}, {17, 184}, {20, 189},
{18, 187}, {19, 185}, {20, 190}, {18, 188}, {19, 188}, {6, 182}, {7, 183}, {7,
182}, {8, 185}, {8, 186}, {9, 187}, {6, 181}, {9, 186}, {10, 191}, {11, 189},
{1, 191}, {1, 190}, {5, 197}, {2, 195}, {3, 193}, {4, 199}, {2, 196}, {3, 196},
{14, 198}, {15, 199}, {15, 198}, {10, 192}, {11, 192}, {14, 197}, {4, 200}, {5,
200}, {12, 193}, {12, 194}, {13, 195}, {13, 194}, {104, 136}, {104, 137}, {107,
138}, {109, 140}, {105, 139}, {110, 140}, {127, 156}, {125, 152}, {108, 138},
{127, 153}, {108, 139}, {125, 149}, {126, 150}, {105, 128}, {121, 144}, {106,
128}, {107, 129}, {123, 145}, {106, 129}, {126, 149}, {101, 137}, {111, 130},
{124, 145}, {109, 131}, {124, 146}, {103, 136}, {123, 148}, {118, 134}, {119,
135}, {118, 135}, {112, 130}, {112, 131}, {117, 134}, {121, 141}, {122, 142},
{113, 132}, {114, 132}, {115, 133}, {114, 133}, {122, 141} }>;
(II) A more general form is to represent the graph as the orbit of {40, 44}
under the group generated by the following permutations:
a: (2, 166)(3, 121)(4, 96)(5, 51)(7, 171)(8, 126)(9, 81)(10, 56)(12, 176)(13,
131)(14, 86)(15, 41)(17, 161)(18, 136)(19, 91)(20, 46)(21, 190)(22, 189)(23,
192)(24, 191)(25, 111)(26, 112)(27, 109)(28, 110)(33, 149)(34, 150)(35, 151)(36,
152)(37, 71)(38, 72)(39, 69)(40, 70)(42, 170)(43, 125)(44, 100)(45, 55)(47,
165)(48, 130)(49, 85)(52, 180)(53, 135)(54, 90)(57, 175)(58, 140)(59, 95)(61,
198)(62, 197)(63, 200)(64, 199)(65, 120)(66, 119)(67, 118)(68, 117)(73, 157)(74,
158)(75, 159)(76, 160)(82, 164)(83, 129)(87, 169)(88, 124)(89, 99)(92, 174)(93,
139)(97, 179)(98, 134)(101, 186)(102, 185)(103, 188)(104, 187)(105, 106)(107,
108)(113, 146)(114, 145)(115, 148)(116, 147)(122, 178)(123, 133)(127, 163)(132,
168)(137, 173)(141, 196)(142, 195)(143, 194)(144, 193)(167, 177) (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: (7, 17)(33, 34)(35, 36)(43, 53)(65, 66)(67, 68)(89, 99)(117, 118)(119,
120)(125, 135)(149, 150)(151, 152)(161, 171)(181, 182)(183, 184)
c: (2, 56)(3, 81)(4, 126)(5, 161)(7, 41)(8, 86)(9, 121)(10, 166)(12, 46)(13,
91)(14, 136)(15, 171)(17, 51)(18, 96)(19, 131)(20, 176)(21, 24)(22, 23)(25,
101)(26, 102)(27, 103)(28, 104)(29, 181)(30, 182)(31, 183)(32, 184)(33, 61)(34,
62)(35, 63)(36, 64)(37, 141)(38, 142)(39, 143)(40, 144)(42, 52)(43, 97)(44,
132)(45, 177)(48, 82)(49, 127)(50, 172)(53, 87)(54, 122)(55, 167)(58, 92)(59,
137)(60, 162)(65, 114)(66, 113)(67, 116)(68, 115)(69, 194)(70, 193)(71, 196)(72,
195)(73, 76)(74, 75)(77, 153)(78, 154)(79, 155)(80, 156)(84, 138)(85, 163)(89,
123)(90, 178)(94, 128)(95, 173)(99, 133)(100, 168)(105, 108)(106, 107)(109,
185)(110, 186)(111, 187)(112, 188)(117, 148)(118, 147)(119, 146)(120, 145)(125,
179)(130, 174)(135, 169)(140, 164)(149, 199)(150, 200)(151, 197)(152, 198)(189,
192)(190, 191)
d: (2, 12)(21, 24)(22, 23)(46, 56)(69, 72)(70, 71)(90, 100)(117, 120)(118,
119)(124, 134)(145, 148)(146, 147)(168, 178)(193, 196)(194, 195)
e: (10, 20)(37, 40)(38, 39)(44, 54)(65, 68)(66, 67)(88, 98)(113, 116)(114,
115)(122, 132)(141, 144)(142, 143)(166, 176)(189, 192)(190, 191)
f: (9, 19)(37, 38)(39, 40)(45, 55)(69, 70)(71, 72)(81, 91)(101, 102)(103,
104)(127, 137)(153, 154)(155, 156)(163, 173)(185, 186)(187, 188)
g: (5, 15)(29, 30)(31, 32)(41, 51)(61, 62)(63, 64)(87, 97)(113, 114)(115,
116)(123, 133)(145, 146)(147, 148)(169, 179)(197, 198)(199, 200)
h: (7, 17)(8, 18)(33, 35)(34, 36)(42, 52)(43, 53)(61, 64)(62, 63)(65, 66)(67,
68)(86, 96)(89, 99)(109, 112)(110, 111)(117, 118)(119, 120)(125, 135)(130,
140)(149, 150)(151, 152)(157, 160)(158, 159)(161, 171)(164, 174)(181, 182)(183,
184)(185, 188)(186, 187)
m: (5, 15)(6, 16)(29, 31)(30, 32)(41, 51)(50, 60)(61, 62)(63, 64)(77, 80)(78,
79)(84, 94)(87, 97)(105, 108)(106, 107)(113, 114)(115, 116)(123, 133)(128,
138)(145, 146)(147, 148)(153, 156)(154, 155)(162, 172)(169, 179)(181, 184)(182,
183)(197, 198)(199, 200)
n1: (1, 2)(3, 10)(4, 9, 14, 19)(5, 8)(6, 7)(11, 12)(13, 20)(15, 18)(16, 17)(22,
24)(25, 37, 28, 38)(26, 40, 27, 39)(29, 33)(30, 36)(31, 35)(32, 34)(41, 42)(43,
60)(44, 49)(45, 58, 55, 48)(46, 57)(47, 56)(50, 53)(51, 52)(54, 59)(62, 64)(65,
80)(66, 77)(67, 78)(68, 79)(69, 75, 70, 74)(71, 73, 72, 76)(81, 92, 91, 82)(83,
90)(84, 99)(85, 88)(86, 97)(87, 96)(89, 94)(93, 100)(95, 98)(101, 104, 103,
102)(105, 118)(106, 119)(107, 120)(108, 117)(109, 114)(110, 115)(111, 116)(112,
113)(121, 122)(123, 130)(124, 129)(125, 138)(126, 137, 136, 127)(128, 135)(131,
132)(133, 140)(134, 139)(142, 144)(145, 157)(146, 160)(147, 159)(148, 158)(149,
155, 152, 156)(150, 154, 151, 153)(161, 172)(162, 171)(163, 180, 173, 170)(164,
169)(165, 168)(166, 177)(167, 176)(174, 179)(175, 178)(181, 183)(185, 200, 186,
197)(187, 198, 188, 199)(189, 194)(190, 195)(191, 196)(192, 193)
a1: (3, 13)(25, 26)(27, 28)(49, 59)(77, 78)(79, 80)(85, 95)(109, 110)(111,
112)(121, 131)(141, 142)(143, 144)(167, 177)(193, 194)(195, 196)
b1: (4, 14)(25, 28)(26, 27)(48, 58)(73, 76)(74, 75)(82, 92)(101, 104)(102,
103)(126, 136)(149, 152)(150, 151)(170, 180)(197, 200)(198, 199)
C4[ 200, 32 ]
200
-1 24 190 191 21
-2 22 195 196 21
-3 25 28 193 196
-4 199 200 25 26
-5 200 29 32 197
-6 181 182 29 30
-7 33 36 182 183
-8 33 34 185 186
-9 187 37 40 186
-10 37 191 38 192
-11 22 23 189 192
-12 23 24 193 194
-13 26 27 194 195
-14 198 27 28 197
-15 198 199 30 31
-16 183 184 31 32
-17 34 35 181 184
-18 187 188 35 36
-19 188 38 39 185
-20 189 190 39 40
-21 1 2 46 57
-22 11 2 46 47
-23 11 12 56 47
-24 1 12 56 57
-25 3 4 48 59
-26 13 4 48 49
-27 13 14 58 49
-28 3 14 58 59
-29 5 60 6 51
-30 15 60 6 41
-31 15 16 50 41
-32 5 16 50 51
-33 7 8 52 43
-34 17 8 52 53
-35 17 18 42 53
-36 7 18 42 43
-37 45 9 10 54
-38 55 19 10 54
-39 44 55 19 20
-40 44 45 9 20
-41 61 30 31 64
-42 35 36 61 62
-43 33 68 36 65
-44 66 39 40 65
-45 69 37 72 40
-46 22 69 70 21
-47 22 23 73 76
-48 25 26 73 74
-49 77 80 26 27
-50 77 78 31 32
-51 29 62 63 32
-52 33 34 63 64
-53 66 34 67 35
-54 67 68 37 38
-55 70 38 71 39
-56 23 24 71 72
-57 24 74 75 21
-58 27 28 75 76
-59 78 79 25 28
-60 79 80 29 30
-61 41 42 86 97
-62 51 42 86 87
-63 51 52 96 87
-64 41 52 96 97
-65 44 88 99 43
-66 44 88 89 53
-67 89 53 54 98
-68 99 43 54 98
-69 45 100 46 91
-70 55 100 46 81
-71 55 56 90 81
-72 45 56 90 91
-73 47 48 92 83
-74 57 48 92 93
-75 57 58 82 93
-76 47 58 82 83
-77 49 50 94 85
-78 59 50 94 95
-79 59 60 84 95
-80 49 60 84 85
-81 101 70 71 104
-82 101 102 75 76
-83 105 73 108 76
-84 79 80 105 106
-85 77 112 80 109
-86 110 61 62 109
-87 113 116 62 63
-88 66 113 114 65
-89 66 67 117 120
-90 71 72 117 118
-91 69 102 103 72
-92 103 104 73 74
-93 106 74 107 75
-94 77 78 107 108
-95 110 78 111 79
-96 111 112 63 64
-97 114 115 61 64
-98 67 68 115 116
-99 68 118 119 65
-100 69 70 119 120
-101 81 82 126 137
-102 91 82 126 127
-103 91 92 136 127
-104 81 92 136 137
-105 83 84 128 139
-106 93 84 128 129
-107 93 94 138 129
-108 83 94 138 139
-109 85 140 86 131
-110 121 95 140 86
-111 121 95 96 130
-112 85 96 130 131
-113 88 132 123 87
-114 88 132 133 97
-115 122 133 97 98
-116 122 123 87 98
-117 89 90 134 125
-118 99 90 134 135
-119 99 100 124 135
-120 89 100 124 125
-121 110 111 144 141
-122 115 116 141 142
-123 145 113 148 116
-124 145 146 119 120
-125 149 117 152 120
-126 101 102 149 150
-127 156 102 103 153
-128 154 105 106 153
-129 157 160 106 107
-130 111 112 157 158
-131 143 112 109 142
-132 143 144 113 114
-133 146 114 147 115
-134 147 148 117 118
-135 150 118 151 119
-136 103 104 151 152
-137 154 155 101 104
-138 155 156 107 108
-139 158 159 105 108
-140 110 159 160 109
-141 121 122 166 177
-142 122 166 167 131
-143 132 176 167 131
-144 121 132 176 177
-145 123 124 168 179
-146 133 124 168 169
-147 133 134 178 169
-148 123 134 178 179
-149 125 180 126 171
-150 135 180 126 161
-151 135 136 170 161
-152 125 136 170 171
-153 127 128 172 163
-154 137 128 172 173
-155 137 138 162 173
-156 127 138 162 163
-157 165 129 130 174
-158 139 130 174 175
-159 139 140 164 175
-160 165 129 140 164
-161 181 150 151 184
-162 155 156 181 182
-163 188 156 185 153
-164 159 160 185 186
-165 189 157 192 160
-166 189 190 141 142
-167 143 193 196 142
-168 145 146 193 194
-169 200 146 147 197
-170 198 151 152 197
-171 149 182 183 152
-172 154 183 184 153
-173 154 187 155 186
-174 187 188 157 158
-175 190 158 191 159
-176 143 144 191 192
-177 144 194 195 141
-178 147 148 195 196
-179 198 199 145 148
-180 199 200 149 150
-181 6 17 161 162
-182 6 171 7 162
-183 16 171 7 172
-184 16 17 161 172
-185 8 19 163 164
-186 8 173 9 164
-187 18 173 9 174
-188 18 19 163 174
-189 11 165 166 20
-190 1 166 20 175
-191 176 1 10 175
-192 11 165 176 10
-193 12 167 3 168
-194 12 177 13 168
-195 177 2 13 178
-196 2 167 178 3
-197 14 169 5 170
-198 14 179 15 170
-199 179 4 15 180
-200 4 169 180 5
0