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