Graph forms
for C4 [ 200, 33 ] = SDD(W(25,2))
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On this page are computer-accessible forms for the graph C4[ 200, 33 ] =
SDD(W(25,2)).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {78, 127}, {76, 126}, {76, 127}, {77, 126}, {72, 124}, {74, 126},
{73, 124}, {75, 125}, {74, 125}, {66, 122}, {68, 124}, {64, 121}, {67, 122},
{65, 123}, {71, 125}, {65, 122}, {71, 124}, {70, 123}, {69, 123}, {68, 123},
{54, 118}, {56, 120}, {52, 117}, {55, 118}, {53, 119}, {59, 121}, {53, 118},
{59, 120}, {48, 116}, {50, 118}, {60, 120}, {62, 122}, {49, 116}, {61, 120},
{51, 117}, {63, 121}, {50, 117}, {62, 121}, {34, 111}, {58, 119}, {33, 111},
{57, 119}, {32, 111}, {56, 119}, {32, 112}, {35, 113}, {35, 112}, {36, 112},
{38, 114}, {37, 112}, {39, 113}, {38, 113}, {42, 114}, {44, 116}, {40, 113},
{43, 114}, {41, 115}, {47, 117}, {41, 114}, {47, 116}, {46, 115}, {45, 115},
{44, 115}, {6, 102}, {8, 104}, {4, 101}, {7, 102}, {5, 103}, {11, 105}, {5,
102}, {11, 104}, {1, 101}, {14, 106}, {12, 104}, {13, 104}, {3, 101}, {15, 105},
{1, 102}, {14, 105}, {2, 101}, {10, 103}, {9, 103}, {8, 103}, {30, 110}, {28,
109}, {31, 110}, {29, 111}, {29, 110}, {24, 108}, {26, 110}, {25, 108}, {9,
127}, {27, 109}, {26, 109}, {6, 126}, {20, 108}, {18, 106}, {16, 105}, {19,
106}, {17, 107}, {23, 109}, {17, 106}, {23, 108}, {3, 127}, {22, 107}, {21,
107}, {2, 125}, {20, 107}, {33, 161}, {35, 163}, {69, 197}, {32, 161}, {35,
162}, {70, 199}, {73, 200}, {32, 162}, {38, 164}, {28, 159}, {34, 161}, {27,
159}, {39, 163}, {26, 159}, {38, 163}, {64, 197}, {67, 198}, {77, 200}, {24,
158}, {36, 162}, {66, 196}, {7, 128}, {37, 162}, {25, 158}, {21, 157}, {47,
167}, {45, 165}, {23, 159}, {20, 157}, {47, 166}, {44, 165}, {23, 158}, {20,
158}, {44, 166}, {10, 129}, {46, 165}, {40, 163}, {22, 157}, {16, 155}, {12,
128}, {41, 165}, {17, 157}, {51, 191}, {75, 199}, {17, 156}, {41, 164}, {15,
129}, {48, 190}, {42, 164}, {18, 156}, {72, 198}, {13, 130}, {43, 164}, {19,
156}, {9, 153}, {45, 189}, {18, 130}, {11, 155}, {57, 169}, {59, 171}, {8, 153},
{46, 191}, {11, 154}, {56, 169}, {59, 170}, {4, 150}, {14, 156}, {8, 154}, {56,
170}, {62, 172}, {4, 151}, {22, 133}, {16, 131}, {10, 153}, {52, 167}, {58,
169}, {3, 151}, {15, 155}, {51, 167}, {63, 171}, {2, 151}, {50, 167}, {43, 190},
{40, 189}, {14, 155}, {62, 171}, {1, 151}, {48, 166}, {42, 188}, {21, 131}, {12,
154}, {60, 170}, {13, 154}, {49, 166}, {31, 136}, {19, 132}, {61, 170}, {30,
134}, {33, 185}, {1, 152}, {37, 188}, {34, 187}, {50, 168}, {28, 135}, {5, 153},
{95, 195}, {94, 194}, {93, 193}, {92, 192}, {39, 187}, {24, 132}, {53, 169}, {5,
152}, {95, 194}, {93, 192}, {53, 168}, {6, 152}, {36, 186}, {27, 133}, {54,
168}, {7, 152}, {94, 193}, {25, 134}, {55, 168}, {21, 181}, {42, 138}, {22,
183}, {25, 184}, {40, 139}, {100, 199}, {96, 195}, {46, 141}, {96, 196}, {99,
199}, {98, 198}, {97, 197}, {16, 181}, {99, 198}, {97, 196}, {31, 186}, {28,
185}, {19, 182}, {18, 180}, {45, 139}, {33, 135}, {30, 184}, {43, 140}, {98,
197}, {55, 144}, {34, 137}, {58, 145}, {27, 183}, {100, 200}, {36, 136}, {60,
144}, {2, 175}, {24, 182}, {39, 137}, {63, 145}, {37, 138}, {61, 146}, {3, 177},
{7, 178}, {6, 176}, {57, 143}, {9, 177}, {54, 142}, {10, 179}, {13, 180}, {26,
160}, {52, 143}, {15, 179}, {48, 140}, {29, 161}, {29, 160}, {12, 178}, {30,
160}, {51, 141}, {31, 160}, {49, 142}, {4, 200}, {78, 128}, {95, 145}, {94,
144}, {79, 129}, {79, 128}, {95, 144}, {66, 146}, {80, 129}, {94, 143}, {92,
141}, {90, 139}, {88, 137}, {86, 135}, {84, 133}, {82, 131}, {80, 130}, {93,
143}, {92, 142}, {89, 139}, {88, 138}, {85, 135}, {84, 134}, {81, 131}, {64,
147}, {93, 142}, {89, 138}, {85, 134}, {70, 149}, {81, 130}, {69, 147}, {91,
141}, {90, 140}, {82, 132}, {83, 133}, {67, 148}, {91, 140}, {83, 132}, {77,
150}, {72, 148}, {75, 149}, {87, 137}, {86, 136}, {73, 150}, {87, 136}, {80,
179}, {92, 191}, {88, 187}, {84, 183}, {75, 175}, {91, 191}, {90, 190}, {89,
189}, {88, 188}, {83, 183}, {80, 180}, {81, 181}, {82, 182}, {74, 175}, {91,
190}, {89, 188}, {81, 180}, {83, 182}, {72, 174}, {73, 174}, {90, 189}, {82,
181}, {69, 173}, {71, 175}, {68, 173}, {71, 174}, {68, 174}, {64, 171}, {70,
173}, {65, 173}, {87, 187}, {86, 186}, {85, 185}, {84, 184}, {65, 172}, {87,
186}, {85, 184}, {66, 172}, {67, 172}, {86, 185}, {49, 192}, {100, 149}, {98,
147}, {96, 145}, {96, 146}, {100, 150}, {97, 147}, {97, 146}, {52, 193}, {55,
194}, {54, 192}, {99, 149}, {98, 148}, {99, 148}, {57, 193}, {58, 195}, {61,
196}, {74, 176}, {63, 195}, {76, 176}, {78, 178}, {79, 179}, {76, 177}, {77,
176}, {79, 178}, {60, 194}, {78, 177} }>;
(II) A more general form is to represent the graph as the orbit of {78, 127}
under the group generated by the following permutations:
a: (65, 67)(68, 72)(69, 98)(70, 99)(123, 148)(173, 198) (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, 5)(3, 6)(4, 7)(8, 71)(9, 74)(10, 75)(11, 68)(12, 73)(13, 72)(14, 65)(15,
70)(16, 69)(17, 62)(18, 67)(19, 66)(20, 59)(21, 64)(22, 63)(23, 56)(24, 61)(25,
60)(26, 53)(27, 58)(28, 57)(29, 50)(30, 55)(31, 54)(32, 47)(33, 52)(34, 51)(35,
44)(36, 49)(37, 48)(38, 41)(39, 46)(40, 45)(42, 43)(77, 78)(79, 100)(80, 99)(81,
98)(82, 97)(83, 96)(84, 95)(85, 94)(86, 93)(87, 92)(88, 91)(89, 90)(101,
102)(103, 125)(104, 124)(105, 123)(106, 122)(107, 121)(108, 120)(109, 119)(110,
118)(111, 117)(112, 116)(113, 115)(126, 127)(128, 150)(129, 149)(130, 148)(131,
147)(132, 146)(133, 145)(134, 144)(135, 143)(136, 142)(137, 141)(138, 140)(151,
152)(153, 175)(154, 174)(155, 173)(156, 172)(157, 171)(158, 170)(159, 169)(160,
168)(161, 167)(162, 166)(163, 165)(176, 177)(178, 200)(179, 199)(180, 198)(181,
197)(182, 196)(183, 195)(184, 194)(185, 193)(186, 192)(187, 191)(188, 190)
c: (59, 61)(62, 66)(63, 96)(64, 97)(121, 146)(171, 196)
d: (138, 188)
e: (135, 185)
f: (150, 200)
g: (132, 182)
h: (20, 22)(23, 27)(24, 83)(25, 84)(108, 133)(158, 183)
m: (35, 37)(38, 42)(39, 88)(40, 89)(113, 138)(163, 188)
n1: (50, 52)(53, 57)(54, 93)(55, 94)(118, 143)(168, 193)
a1: (137, 187)
b1: (11, 13)(14, 18)(15, 80)(16, 81)(105, 130)(155, 180)
c1: (127, 177)
d1: (44, 46)(47, 51)(48, 91)(49, 92)(116, 141)(166, 191)
e1: (38, 40)(41, 45)(42, 89)(43, 90)(114, 139)(164, 189)
f1: (32, 34)(35, 39)(36, 87)(37, 88)(112, 137)(162, 187)
g1: (136, 186)
h1: (29, 31)(32, 36)(33, 86)(34, 87)(111, 136)(161, 186)
m1: (139, 189)
n2: (140, 190)
a2: (134, 184)
b2: (8, 10)(11, 15)(12, 79)(13, 80)(104, 129)(154, 179)
c2: (41, 43)(44, 48)(45, 90)(46, 91)(115, 140)(165, 190)
d2: (148, 198)
e2: (142, 192)
f2: (1, 2, 71, 68, 65, 62, 59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23,
20, 17, 14, 11, 8, 5)(3, 74, 73, 70, 67, 64, 61, 58, 55, 52, 49, 46, 43, 40, 37,
34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(4, 75, 72, 69, 66, 63, 60, 57, 54, 51,
48, 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9, 6)(76, 77, 100, 99, 98,
97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79,
78)(101, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112,
111, 110, 109, 108, 107, 106, 105, 104, 103, 102)(126, 150, 149, 148, 147, 146,
145, 144, 143, 142, 141, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130,
129, 128, 127)(151, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 165, 164,
163, 162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152)(176, 200, 199, 198,
197, 196, 195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182,
181, 180, 179, 178, 177)
g2: (23, 25)(26, 30)(27, 84)(28, 85)(109, 134)(159, 184)
h2: (131, 181)
m2: (128, 178)
n3: (129, 179)
a3: (26, 28)(29, 33)(30, 85)(31, 86)(110, 135)(160, 185)
b3: (17, 19)(20, 24)(21, 82)(22, 83)(107, 132)(157, 182)
c3: (145, 195)
d3: (101, 151)
e3: (68, 70)(71, 75)(72, 99)(73, 100)(124, 149)(174, 199)
f3: (146, 196)
g3: (141, 191)
h3: (62, 64)(65, 69)(66, 97)(67, 98)(122, 147)(172, 197)
m3: (56, 58)(59, 63)(60, 95)(61, 96)(120, 145)(170, 195)
n4: (2, 4)(71, 73)(74, 77)(75, 100)(125, 150)(175, 200)
a4: (47, 49)(50, 54)(51, 92)(52, 93)(117, 142)(167, 192)
b4: (53, 55)(56, 60)(57, 94)(58, 95)(119, 144)(169, 194)
c4: (144, 194)
d4: (126, 176)
e4: (14, 16)(17, 21)(18, 81)(19, 82)(106, 131)(156, 181)
f4: (130, 180)
g4: (133, 183)
h4: (147, 197)
m4: (102, 152)
n5: (149, 199)
a5: (143, 193)
C4[ 200, 33 ]
200
-1 101 102 151 152
-2 101 125 151 175
-3 177 101 127 151
-4 101 200 150 151
-5 102 103 152 153
-6 176 102 126 152
-7 178 102 128 152
-8 154 103 104 153
-9 177 103 127 153
-10 179 103 129 153
-11 154 155 104 105
-12 154 178 104 128
-13 154 180 104 130
-14 155 156 105 106
-15 155 179 105 129
-16 155 181 105 131
-17 156 157 106 107
-18 156 180 106 130
-19 132 156 182 106
-20 157 158 107 108
-21 157 181 107 131
-22 133 157 183 107
-23 158 159 108 109
-24 132 158 182 108
-25 134 158 184 108
-26 110 159 160 109
-27 133 159 183 109
-28 135 159 185 109
-29 110 111 160 161
-30 110 134 160 184
-31 110 136 160 186
-32 111 112 161 162
-33 111 135 161 185
-34 187 111 137 161
-35 112 113 162 163
-36 112 136 162 186
-37 188 112 138 162
-38 113 114 163 164
-39 187 113 137 163
-40 189 113 139 163
-41 165 114 115 164
-42 188 114 138 164
-43 190 114 140 164
-44 165 166 115 116
-45 165 189 115 139
-46 165 191 115 141
-47 166 167 116 117
-48 166 190 116 140
-49 166 192 116 142
-50 167 168 117 118
-51 167 191 117 141
-52 143 167 193 117
-53 168 169 118 119
-54 168 192 118 142
-55 144 168 194 118
-56 169 170 119 120
-57 143 169 193 119
-58 145 169 195 119
-59 121 170 171 120
-60 144 170 194 120
-61 146 170 196 120
-62 121 122 171 172
-63 121 145 171 195
-64 121 147 171 197
-65 122 123 172 173
-66 122 146 172 196
-67 198 122 148 172
-68 123 124 173 174
-69 123 147 173 197
-70 199 123 149 173
-71 124 125 174 175
-72 198 124 148 174
-73 200 124 150 174
-74 176 125 126 175
-75 199 125 149 175
-76 176 177 126 127
-77 176 200 126 150
-78 177 178 127 128
-79 178 179 128 129
-80 179 180 129 130
-81 180 181 130 131
-82 132 181 182 131
-83 132 133 182 183
-84 133 134 183 184
-85 134 135 184 185
-86 135 136 185 186
-87 187 136 137 186
-88 187 188 137 138
-89 188 189 138 139
-90 189 190 139 140
-91 190 191 140 141
-92 191 192 141 142
-93 143 192 193 142
-94 143 144 193 194
-95 144 145 194 195
-96 145 146 195 196
-97 146 147 196 197
-98 198 147 148 197
-99 198 199 148 149
-100 199 200 149 150
-101 1 2 3 4
-102 1 5 6 7
-103 5 8 9 10
-104 11 12 13 8
-105 11 14 15 16
-106 14 17 18 19
-107 22 17 20 21
-108 23 24 25 20
-109 23 26 27 28
-110 26 29 30 31
-111 33 34 29 32
-112 35 36 37 32
-113 35 38 39 40
-114 38 41 42 43
-115 44 45 46 41
-116 44 47 48 49
-117 47 50 51 52
-118 55 50 53 54
-119 56 57 58 53
-120 56 59 60 61
-121 59 62 63 64
-122 66 67 62 65
-123 68 69 70 65
-124 68 71 72 73
-125 2 71 74 75
-126 77 6 74 76
-127 78 3 9 76
-128 12 78 79 7
-129 79 80 15 10
-130 13 80 81 18
-131 81 16 82 21
-132 24 82 83 19
-133 22 27 83 84
-134 25 84 30 85
-135 33 28 85 86
-136 36 31 86 87
-137 88 34 39 87
-138 88 89 37 42
-139 45 89 90 40
-140 90 91 48 43
-141 46 91 92 51
-142 92 49 93 54
-143 57 93 94 52
-144 55 60 94 95
-145 58 95 63 96
-146 66 61 96 97
-147 69 64 97 98
-148 99 67 72 98
-149 99 100 70 75
-150 77 100 4 73
-151 1 2 3 4
-152 1 5 6 7
-153 5 8 9 10
-154 11 12 13 8
-155 11 14 15 16
-156 14 17 18 19
-157 22 17 20 21
-158 23 24 25 20
-159 23 26 27 28
-160 26 29 30 31
-161 33 34 29 32
-162 35 36 37 32
-163 35 38 39 40
-164 38 41 42 43
-165 44 45 46 41
-166 44 47 48 49
-167 47 50 51 52
-168 55 50 53 54
-169 56 57 58 53
-170 56 59 60 61
-171 59 62 63 64
-172 66 67 62 65
-173 68 69 70 65
-174 68 71 72 73
-175 2 71 74 75
-176 77 6 74 76
-177 78 3 9 76
-178 12 78 79 7
-179 79 80 15 10
-180 13 80 81 18
-181 81 16 82 21
-182 24 82 83 19
-183 22 27 83 84
-184 25 84 30 85
-185 33 28 85 86
-186 36 31 86 87
-187 88 34 39 87
-188 88 89 37 42
-189 45 89 90 40
-190 90 91 48 43
-191 46 91 92 51
-192 92 49 93 54
-193 57 93 94 52
-194 55 60 94 95
-195 58 95 63 96
-196 66 61 96 97
-197 69 64 97 98
-198 99 67 72 98
-199 99 100 70 75
-200 77 100 4 73
0