Graph forms
for C4 [ 232, 11 ] = SDD(W(29,2))
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On this page are computer-accessible forms for the graph C4[ 232, 11 ] =
SDD(W(29,2)).
(I) Following is a form readable by MAGMA:
g:=Graph<232|{ {34, 127}, {33, 127}, {32, 127}, {30, 126}, {28, 125}, {31, 126},
{29, 127}, {29, 126}, {24, 124}, {26, 126}, {25, 124}, {27, 125}, {26, 125},
{18, 122}, {20, 124}, {16, 121}, {19, 122}, {17, 123}, {23, 125}, {17, 122},
{23, 124}, {22, 123}, {21, 123}, {20, 123}, {6, 118}, {8, 120}, {4, 117}, {7,
118}, {5, 119}, {11, 121}, {5, 118}, {11, 120}, {1, 117}, {12, 120}, {14, 122},
{13, 120}, {3, 117}, {15, 121}, {1, 118}, {2, 117}, {14, 121}, {10, 119}, {9,
119}, {8, 119}, {24, 152}, {71, 199}, {69, 197}, {68, 197}, {71, 198}, {21,
151}, {74, 200}, {68, 198}, {27, 153}, {25, 154}, {70, 197}, {64, 195}, {31,
156}, {18, 150}, {77, 201}, {65, 197}, {30, 154}, {65, 196}, {77, 200}, {66,
196}, {78, 200}, {16, 151}, {67, 196}, {28, 155}, {79, 200}, {19, 152}, {76,
199}, {52, 191}, {43, 160}, {51, 191}, {75, 199}, {92, 208}, {93, 209}, {94,
210}, {95, 211}, {108, 224}, {109, 225}, {110, 226}, {111, 227}, {50, 191}, {74,
199}, {93, 208}, {95, 210}, {109, 224}, {111, 226}, {48, 190}, {72, 198}, {22,
153}, {73, 198}, {46, 161}, {49, 190}, {94, 209}, {110, 225}, {3, 147}, {45,
189}, {47, 191}, {48, 160}, {44, 189}, {47, 190}, {44, 190}, {51, 161}, {2,
145}, {116, 231}, {112, 227}, {55, 164}, {7, 148}, {40, 187}, {46, 189}, {49,
162}, {92, 207}, {6, 146}, {115, 231}, {114, 230}, {113, 229}, {112, 228}, {54,
162}, {41, 189}, {88, 204}, {90, 206}, {91, 207}, {41, 188}, {115, 230}, {113,
228}, {88, 205}, {89, 204}, {91, 206}, {42, 188}, {43, 188}, {114, 229}, {52,
163}, {90, 205}, {12, 148}, {60, 164}, {33, 185}, {35, 187}, {81, 201}, {83,
203}, {32, 185}, {35, 186}, {80, 201}, {83, 202}, {9, 147}, {63, 165}, {57,
163}, {15, 149}, {32, 186}, {38, 188}, {80, 202}, {86, 204}, {13, 150}, {61,
166}, {34, 185}, {82, 201}, {39, 187}, {116, 232}, {87, 203}, {38, 187}, {86,
203}, {36, 186}, {84, 202}, {10, 149}, {58, 165}, {37, 186}, {85, 202}, {21,
181}, {23, 183}, {32, 128}, {20, 181}, {67, 226}, {64, 225}, {23, 182}, {20,
182}, {66, 224}, {26, 184}, {35, 129}, {16, 179}, {22, 181}, {35, 128}, {17,
181}, {69, 225}, {29, 185}, {36, 128}, {38, 130}, {17, 180}, {70, 227}, {29,
184}, {37, 128}, {18, 180}, {30, 184}, {39, 129}, {19, 180}, {31, 184}, {38,
129}, {42, 130}, {75, 227}, {44, 132}, {40, 129}, {76, 229}, {43, 130}, {79,
230}, {4, 174}, {72, 226}, {41, 131}, {47, 133}, {78, 228}, {4, 175}, {28, 183},
{41, 130}, {47, 132}, {3, 175}, {27, 183}, {2, 175}, {73, 228}, {26, 183}, {46,
131}, {1, 175}, {24, 182}, {45, 131}, {25, 182}, {44, 131}, {54, 134}, {56,
136}, {87, 231}, {1, 176}, {55, 134}, {52, 133}, {89, 232}, {45, 159}, {59,
137}, {53, 135}, {84, 230}, {53, 134}, {59, 136}, {96, 211}, {100, 215}, {104,
219}, {108, 223}, {5, 177}, {62, 138}, {60, 136}, {42, 158}, {48, 132}, {50,
134}, {81, 229}, {96, 212}, {97, 213}, {98, 214}, {99, 215}, {104, 220}, {105,
221}, {106, 222}, {107, 223}, {5, 176}, {61, 136}, {49, 132}, {82, 231}, {97,
212}, {99, 214}, {105, 220}, {107, 222}, {6, 176}, {63, 137}, {51, 133}, {7,
176}, {62, 137}, {40, 159}, {50, 133}, {98, 213}, {106, 221}, {9, 177}, {11,
179}, {36, 156}, {8, 177}, {11, 178}, {8, 178}, {14, 180}, {33, 155}, {39, 157},
{10, 177}, {37, 158}, {15, 179}, {100, 216}, {101, 217}, {102, 218}, {103, 219},
{14, 179}, {58, 135}, {85, 232}, {101, 216}, {103, 218}, {12, 178}, {57, 135},
{13, 178}, {56, 135}, {34, 157}, {102, 217}, {15, 207}, {78, 142}, {80, 144},
{16, 209}, {76, 141}, {19, 210}, {79, 142}, {12, 206}, {77, 143}, {18, 208},
{83, 145}, {77, 142}, {83, 144}, {9, 205}, {74, 142}, {72, 140}, {21, 209}, {84,
144}, {86, 146}, {10, 207}, {73, 140}, {22, 211}, {85, 144}, {75, 141}, {87,
145}, {94, 152}, {95, 153}, {102, 160}, {103, 161}, {110, 168}, {111, 169}, {74,
141}, {86, 145}, {95, 152}, {103, 160}, {111, 168}, {27, 211}, {68, 140}, {66,
138}, {2, 203}, {67, 138}, {64, 137}, {7, 206}, {28, 213}, {31, 214}, {90, 147},
{92, 149}, {94, 151}, {104, 161}, {106, 163}, {108, 165}, {110, 167}, {6, 204},
{71, 141}, {65, 139}, {24, 210}, {30, 212}, {88, 146}, {92, 150}, {93, 151},
{104, 162}, {105, 163}, {108, 166}, {109, 167}, {65, 138}, {71, 140}, {88, 147},
{89, 146}, {93, 150}, {105, 162}, {109, 166}, {25, 212}, {70, 139}, {3, 205},
{69, 139}, {90, 148}, {91, 149}, {106, 164}, {107, 165}, {68, 139}, {91, 148},
{107, 164}, {112, 169}, {116, 173}, {114, 171}, {112, 170}, {116, 174}, {113,
171}, {113, 170}, {13, 208}, {61, 224}, {82, 143}, {81, 143}, {115, 173}, {114,
172}, {80, 143}, {115, 172}, {63, 223}, {72, 168}, {60, 222}, {75, 169}, {69,
167}, {73, 170}, {79, 172}, {57, 221}, {66, 166}, {78, 170}, {58, 223}, {64,
167}, {76, 171}, {51, 219}, {52, 221}, {55, 222}, {48, 218}, {54, 220}, {67,
168}, {4, 232}, {49, 220}, {70, 169}, {39, 215}, {40, 217}, {43, 218}, {36,
214}, {42, 216}, {50, 192}, {33, 213}, {53, 193}, {45, 217}, {34, 215}, {53,
192}, {46, 219}, {54, 192}, {55, 192}, {89, 174}, {57, 193}, {59, 195}, {84,
172}, {56, 193}, {59, 194}, {96, 153}, {98, 155}, {100, 157}, {102, 159}, {56,
194}, {62, 196}, {81, 171}, {87, 173}, {96, 154}, {97, 155}, {100, 158}, {101,
159}, {58, 193}, {85, 174}, {97, 154}, {101, 158}, {63, 195}, {37, 216}, {62,
195}, {60, 194}, {98, 156}, {99, 157}, {61, 194}, {82, 173}, {99, 156} }>;
(II) A more general form is to represent the graph as the orbit of {34, 127}
under the group generated by the following permutations:
a: (77, 79)(80, 84)(81, 114)(82, 115)(143, 172)(201, 230) (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: (68, 70)(71, 75)(72, 111)(73, 112)(140, 169)(198, 227)
c: (26, 28)(29, 33)(30, 97)(31, 98)(126, 155)(184, 213)
d: (153, 211)
e: (173, 231)
f: (156, 214)
g: (164, 222)
h: (14, 16)(17, 21)(18, 93)(19, 94)(122, 151)(180, 209)
m: (23, 25)(26, 30)(27, 96)(28, 97)(125, 154)(183, 212)
n1: (146, 204)
a1: (35, 37)(38, 42)(39, 100)(40, 101)(129, 158)(187, 216)
b1: (159, 217)
c1: (157, 215)
d1: (158, 216)
e1: (62, 64)(65, 69)(66, 109)(67, 110)(138, 167)(196, 225)
f1: (65, 67)(68, 72)(69, 110)(70, 111)(139, 168)(197, 226)
g1: (174, 232)
h1: (2, 4)(83, 85)(86, 89)(87, 116)(145, 174)(203, 232)
m1: (32, 34)(35, 39)(36, 99)(37, 100)(128, 157)(186, 215)
n2: (50, 52)(53, 57)(54, 105)(55, 106)(134, 163)(192, 221)
a2: (53, 55)(56, 60)(57, 106)(58, 107)(135, 164)(193, 222)
b2: (161, 219)
c2: (170, 228)
d2: (80, 82)(83, 87)(84, 115)(85, 116)(144, 173)(202, 231)
e2: (169, 227)
f2: (154, 212)
g2: (160, 218)
h2: (11, 13)(14, 18)(15, 92)(16, 93)(121, 150)(179, 208)
m2: (171, 229)
n3: (29, 31)(32, 36)(33, 98)(34, 99)(127, 156)(185, 214)
a3: (147, 205)
b3: (17, 19)(20, 24)(21, 94)(22, 95)(123, 152)(181, 210)
c3: (166, 224)
d3: (165, 223)
e3: (56, 58)(59, 63)(60, 107)(61, 108)(136, 165)(194, 223)
f3: (38, 40)(41, 45)(42, 101)(43, 102)(130, 159)(188, 217)
g3: (151, 209)
h3: (71, 73)(74, 78)(75, 112)(76, 113)(141, 170)(199, 228)
m3: (162, 220)
n4: (172, 230)
a4: (44, 46)(47, 51)(48, 103)(49, 104)(132, 161)(190, 219)
b4: (167, 225)
c4: (117, 175)
d4: (74, 76)(77, 81)(78, 113)(79, 114)(142, 171)(200, 229)
e4: (41, 43)(44, 48)(45, 102)(46, 103)(131, 160)(189, 218)
f4: (150, 208)
g4: (1, 2, 83, 80, 77, 74, 71, 68, 65, 62, 59, 56, 53, 50, 47, 44, 41, 38, 35,
32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 86, 85, 82, 79, 76, 73, 70, 67, 64, 61,
58, 55, 52, 49, 46, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(4, 87,
84, 81, 78, 75, 72, 69, 66, 63, 60, 57, 54, 51, 48, 45, 42, 39, 36, 33, 30, 27,
24, 21, 18, 15, 12, 9, 6)(88, 89, 116, 115, 114, 113, 112, 111, 110, 109, 108,
107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91,
90)(117, 145, 144, 143, 142, 141, 140, 139, 138, 137, 136, 135, 134, 133, 132,
131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118)(146, 174,
173, 172, 171, 170, 169, 168, 167, 166, 165, 164, 163, 162, 161, 160, 159, 158,
157, 156, 155, 154, 153, 152, 151, 150, 149, 148, 147)(175, 203, 202, 201, 200,
199, 198, 197, 196, 195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 185, 184,
183, 182, 181, 180, 179, 178, 177, 176)(204, 232, 231, 230, 229, 228, 227, 226,
225, 224, 223, 222, 221, 220, 219, 218, 217, 216, 215, 214, 213, 212, 211, 210,
209, 208, 207, 206, 205)
h4: (20, 22)(23, 27)(24, 95)(25, 96)(124, 153)(182, 211)
m4: (47, 49)(50, 54)(51, 104)(52, 105)(133, 162)(191, 220)
n5: (148, 206)
a5: (168, 226)
b5: (152, 210)
c5: (155, 213)
d5: (163, 221)
e5: (118, 176)
f5: (59, 61)(62, 66)(63, 108)(64, 109)(137, 166)(195, 224)
g5: (149, 207)
h5: (2, 5)(3, 6)(4, 7)(8, 83)(9, 86)(10, 87)(11, 80)(12, 85)(13, 84)(14, 77)(15,
82)(16, 81)(17, 74)(18, 79)(19, 78)(20, 71)(21, 76)(22, 75)(23, 68)(24, 73)(25,
72)(26, 65)(27, 70)(28, 69)(29, 62)(30, 67)(31, 66)(32, 59)(33, 64)(34, 63)(35,
56)(36, 61)(37, 60)(38, 53)(39, 58)(40, 57)(41, 50)(42, 55)(43, 54)(44, 47)(45,
52)(46, 51)(48, 49)(89, 90)(91, 116)(92, 115)(93, 114)(94, 113)(95, 112)(96,
111)(97, 110)(98, 109)(99, 108)(100, 107)(101, 106)(102, 105)(103, 104)(117,
118)(119, 145)(120, 144)(121, 143)(122, 142)(123, 141)(124, 140)(125, 139)(126,
138)(127, 137)(128, 136)(129, 135)(130, 134)(131, 133)(146, 147)(148, 174)(149,
173)(150, 172)(151, 171)(152, 170)(153, 169)(154, 168)(155, 167)(156, 166)(157,
165)(158, 164)(159, 163)(160, 162)(175, 176)(177, 203)(178, 202)(179, 201)(180,
200)(181, 199)(182, 198)(183, 197)(184, 196)(185, 195)(186, 194)(187, 193)(188,
192)(189, 191)(204, 205)(206, 232)(207, 231)(208, 230)(209, 229)(210, 228)(211,
227)(212, 226)(213, 225)(214, 224)(215, 223)(216, 222)(217, 221)(218, 220)
m5: (8, 10)(11, 15)(12, 91)(13, 92)(120, 149)(178, 207)
C4[ 232, 11 ]
232
-1 176 117 118 175
-2 145 203 117 175
-3 147 117 205 175
-4 232 117 174 175
-5 176 177 118 119
-6 176 146 204 118
-7 176 148 118 206
-8 177 178 119 120
-9 177 147 205 119
-10 177 149 119 207
-11 121 178 179 120
-12 178 148 206 120
-13 178 150 120 208
-14 121 122 179 180
-15 121 179 149 207
-16 121 209 179 151
-17 122 123 180 181
-18 122 180 150 208
-19 122 210 180 152
-20 123 124 181 182
-21 209 123 181 151
-22 123 211 181 153
-23 124 125 182 183
-24 210 124 182 152
-25 154 124 212 182
-26 125 126 183 184
-27 211 125 183 153
-28 155 125 213 183
-29 126 127 184 185
-30 154 212 126 184
-31 156 126 214 184
-32 127 128 185 186
-33 155 213 127 185
-34 157 127 215 185
-35 187 128 129 186
-36 156 214 128 186
-37 158 128 216 186
-38 187 188 129 130
-39 187 157 215 129
-40 187 159 129 217
-41 188 189 130 131
-42 188 158 216 130
-43 188 160 130 218
-44 132 189 190 131
-45 189 159 217 131
-46 189 161 131 219
-47 132 133 190 191
-48 132 190 160 218
-49 132 220 190 162
-50 133 134 191 192
-51 133 191 161 219
-52 133 221 191 163
-53 134 135 192 193
-54 220 134 192 162
-55 134 222 192 164
-56 135 136 193 194
-57 221 135 193 163
-58 165 135 223 193
-59 136 137 194 195
-60 222 136 194 164
-61 166 136 224 194
-62 137 138 195 196
-63 165 223 137 195
-64 167 137 225 195
-65 138 139 196 197
-66 166 224 138 196
-67 168 138 226 196
-68 198 139 140 197
-69 167 225 139 197
-70 169 139 227 197
-71 198 199 140 141
-72 198 168 226 140
-73 198 170 140 228
-74 199 200 141 142
-75 199 169 227 141
-76 199 171 141 229
-77 143 200 201 142
-78 200 170 228 142
-79 200 172 142 230
-80 143 144 201 202
-81 143 201 171 229
-82 143 231 201 173
-83 144 145 202 203
-84 144 202 172 230
-85 144 232 202 174
-86 145 146 203 204
-87 231 145 203 173
-88 146 147 204 205
-89 232 146 204 174
-90 147 148 205 206
-91 148 149 206 207
-92 149 150 207 208
-93 209 150 151 208
-94 209 210 151 152
-95 210 211 152 153
-96 154 211 212 153
-97 154 155 212 213
-98 155 156 213 214
-99 156 157 214 215
-100 157 158 215 216
-101 158 159 216 217
-102 159 160 217 218
-103 160 161 218 219
-104 220 161 162 219
-105 220 221 162 163
-106 221 222 163 164
-107 165 222 223 164
-108 165 166 223 224
-109 166 167 224 225
-110 167 168 225 226
-111 168 169 226 227
-112 169 170 227 228
-113 170 171 228 229
-114 171 172 229 230
-115 231 172 173 230
-116 231 232 173 174
-117 1 2 3 4
-118 1 5 6 7
-119 5 8 9 10
-120 11 12 13 8
-121 11 14 15 16
-122 14 17 18 19
-123 22 17 20 21
-124 23 24 25 20
-125 23 26 27 28
-126 26 29 30 31
-127 33 34 29 32
-128 35 36 37 32
-129 35 38 39 40
-130 38 41 42 43
-131 44 45 46 41
-132 44 47 48 49
-133 47 50 51 52
-134 55 50 53 54
-135 56 57 58 53
-136 56 59 60 61
-137 59 62 63 64
-138 66 67 62 65
-139 68 69 70 65
-140 68 71 72 73
-141 71 74 75 76
-142 77 78 79 74
-143 77 80 81 82
-144 80 83 84 85
-145 2 83 86 87
-146 88 89 6 86
-147 88 90 3 9
-148 12 90 91 7
-149 91 15 92 10
-150 13 92 93 18
-151 16 93 94 21
-152 24 94 95 19
-153 22 27 95 96
-154 25 30 96 97
-155 33 28 97 98
-156 99 36 31 98
-157 99 34 100 39
-158 100 101 37 42
-159 45 101 102 40
-160 102 48 103 43
-161 46 103 104 51
-162 49 104 105 54
-163 57 105 106 52
-164 55 60 106 107
-165 58 63 107 108
-166 66 61 108 109
-167 110 69 64 109
-168 110 67 111 72
-169 111 112 70 75
-170 78 112 113 73
-171 113 81 114 76
-172 79 114 115 84
-173 82 115 116 87
-174 89 4 116 85
-175 1 2 3 4
-176 1 5 6 7
-177 5 8 9 10
-178 11 12 13 8
-179 11 14 15 16
-180 14 17 18 19
-181 22 17 20 21
-182 23 24 25 20
-183 23 26 27 28
-184 26 29 30 31
-185 33 34 29 32
-186 35 36 37 32
-187 35 38 39 40
-188 38 41 42 43
-189 44 45 46 41
-190 44 47 48 49
-191 47 50 51 52
-192 55 50 53 54
-193 56 57 58 53
-194 56 59 60 61
-195 59 62 63 64
-196 66 67 62 65
-197 68 69 70 65
-198 68 71 72 73
-199 71 74 75 76
-200 77 78 79 74
-201 77 80 81 82
-202 80 83 84 85
-203 2 83 86 87
-204 88 89 6 86
-205 88 90 3 9
-206 12 90 91 7
-207 91 15 92 10
-208 13 92 93 18
-209 16 93 94 21
-210 24 94 95 19
-211 22 27 95 96
-212 25 30 96 97
-213 33 28 97 98
-214 99 36 31 98
-215 99 34 100 39
-216 100 101 37 42
-217 45 101 102 40
-218 102 48 103 43
-219 46 103 104 51
-220 49 104 105 54
-221 57 105 106 52
-222 55 60 106 107
-223 58 63 107 108
-224 66 61 108 109
-225 110 69 64 109
-226 110 67 111 72
-227 111 112 70 75
-228 78 112 113 73
-229 113 81 114 76
-230 79 114 115 84
-231 82 115 116 87
-232 89 4 116 85
0