Graph forms
for C4 [ 240, 108 ] = SDD(UG(ATD[60,19]))
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On this page are computer-accessible forms for the graph C4[ 240, 108 ] =
SDD(UG(ATD[60,19])).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {62, 127}, {40, 122}, {42, 126}, {40, 125}, {45, 123}, {35, 123},
{35, 122}, {35, 121}, {35, 126}, {30, 127}, {30, 124}, {21, 125}, {22, 124},
{21, 121}, {12, 127}, {11, 126}, {1, 121}, {4, 125}, {1, 123}, {6, 124}, {1,
122}, {2, 121}, {3, 127}, {4, 122}, {5, 123}, {1, 126}, {2, 125}, {3, 124}, {41,
169}, {69, 197}, {49, 177}, {76, 204}, {78, 206}, {79, 207}, {6, 135}, {67,
194}, {19, 146}, {43, 170}, {76, 205}, {2, 128}, {3, 129}, {100, 230}, {101,
231}, {102, 228}, {103, 229}, {105, 235}, {5, 134}, {66, 193}, {8, 139}, {15,
140}, {18, 145}, {20, 151}, {23, 148}, {27, 152}, {106, 233}, {107, 232}, {108,
239}, {66, 198}, {104, 236}, {107, 239}, {7, 130}, {65, 196}, {55, 178}, {9,
140}, {13, 139}, {54, 176}, {22, 144}, {28, 154}, {29, 155}, {100, 226}, {101,
227}, {10, 141}, {68, 195}, {62, 185}, {20, 147}, {31, 152}, {36, 163}, {44,
171}, {87, 208}, {95, 216}, {22, 158}, {120, 240}, {111, 231}, {110, 230}, {70,
206}, {47, 167}, {46, 166}, {71, 207}, {8, 129}, {55, 190}, {25, 144}, {26,
147}, {94, 215}, {2, 136}, {3, 137}, {4, 142}, {5, 143}, {9, 131}, {10, 128},
{16, 154}, {17, 155}, {19, 153}, {84, 222}, {85, 223}, {88, 210}, {89, 211},
{92, 214}, {97, 235}, {8, 131}, {60, 183}, {56, 179}, {12, 135}, {15, 132}, {77,
198}, {80, 219}, {102, 237}, {13, 129}, {57, 181}, {49, 189}, {48, 188}, {14,
130}, {15, 131}, {19, 159}, {96, 236}, {98, 238}, {7, 138}, {64, 205}, {59,
182}, {57, 180}, {50, 191}, {9, 132}, {11, 134}, {24, 149}, {26, 151}, {44,
161}, {81, 220}, {103, 234}, {7, 137}, {58, 180}, {13, 131}, {37, 171}, {42,
164}, {90, 212}, {91, 213}, {10, 133}, {58, 181}, {25, 150}, {79, 192}, {82,
221}, {106, 229}, {107, 228}, {9, 153}, {115, 227}, {113, 225}, {112, 224}, {18,
130}, {28, 140}, {29, 141}, {38, 182}, {39, 183}, {94, 206}, {95, 207}, {22,
135}, {120, 233}, {65, 208}, {27, 138}, {72, 217}, {89, 200}, {91, 202}, {26,
136}, {53, 167}, {52, 166}, {42, 184}, {56, 171}, {119, 228}, {73, 218}, {87,
196}, {90, 201}, {16, 132}, {117, 225}, {69, 209}, {67, 215}, {47, 187}, {46,
186}, {17, 133}, {32, 180}, {33, 181}, {41, 189}, {21, 128}, {31, 138}, {43,
190}, {6, 144}, {118, 224}, {116, 226}, {63, 169}, {51, 165}, {50, 164}, {7,
145}, {14, 152}, {15, 153}, {24, 143}, {30, 137}, {36, 179}, {72, 223}, {79,
216}, {80, 199}, {92, 203}, {4, 156}, {119, 239}, {118, 238}, {117, 237}, {114,
234}, {49, 169}, {48, 168}, {5, 157}, {6, 158}, {18, 138}, {19, 139}, {41, 177},
{93, 197}, {8, 145}, {117, 236}, {59, 162}, {57, 160}, {56, 161}, {23, 142},
{43, 178}, {78, 215}, {81, 200}, {90, 195}, {52, 174}, {58, 160}, {53, 175},
{86, 204}, {106, 240}, {18, 137}, {115, 232}, {112, 235}, {62, 165}, {82, 201},
{86, 205}, {13, 145}, {113, 237}, {68, 216}, {20, 136}, {10, 151}, {120, 229},
{118, 235}, {116, 233}, {113, 236}, {109, 240}, {55, 170}, {21, 136}, {50, 172},
{112, 238}, {54, 168}, {51, 173}, {74, 212}, {84, 202}, {85, 203}, {30, 129},
{119, 232}, {60, 163}, {44, 179}, {73, 214}, {74, 213}, {88, 199}, {95, 192},
{28, 189}, {65, 224}, {31, 190}, {96, 193}, {98, 195}, {45, 143}, {72, 234},
{97, 194}, {99, 192}, {100, 199}, {69, 225}, {119, 211}, {27, 190}, {70, 227},
{58, 159}, {71, 226}, {74, 239}, {23, 177}, {57, 159}, {56, 158}, {40, 142},
{29, 186}, {14, 166}, {12, 165}, {34, 139}, {104, 193}, {24, 178}, {120, 210},
{61, 151}, {55, 157}, {25, 179}, {16, 187}, {118, 221}, {117, 222}, {114, 217},
{48, 155}, {47, 132}, {45, 134}, {98, 201}, {105, 194}, {42, 134}, {46, 130},
{102, 202}, {103, 203}, {17, 188}, {114, 223}, {112, 221}, {49, 156}, {101,
200}, {70, 232}, {71, 233}, {11, 164}, {113, 222}, {99, 204}, {34, 146}, {61,
141}, {45, 157}, {37, 148}, {39, 150}, {96, 209}, {97, 208}, {103, 214}, {104,
217}, {32, 146}, {33, 147}, {36, 150}, {44, 158}, {11, 184}, {111, 220}, {38,
149}, {102, 213}, {105, 218}, {14, 186}, {20, 160}, {36, 144}, {40, 156}, {90,
238}, {12, 185}, {110, 219}, {48, 133}, {47, 154}, {41, 156}, {23, 161}, {46,
152}, {43, 157}, {91, 237}, {92, 234}, {98, 212}, {100, 210}, {101, 211}, {16,
167}, {87, 224}, {109, 218}, {61, 133}, {106, 210}, {107, 211}, {108, 212}, {17,
168}, {62, 135}, {73, 240}, {92, 229}, {96, 217}, {104, 209}, {105, 208}, {108,
213}, {24, 162}, {25, 163}, {26, 160}, {88, 226}, {89, 227}, {34, 153}, {116,
207}, {97, 218}, {109, 214}, {34, 159}, {115, 206}, {61, 128}, {88, 230}, {89,
231}, {91, 228}, {77, 141}, {84, 149}, {80, 146}, {81, 147}, {109, 175}, {85,
150}, {75, 142}, {82, 148}, {83, 149}, {99, 165}, {93, 154}, {110, 162}, {111,
163}, {99, 173}, {93, 140}, {77, 155}, {110, 182}, {111, 183}, {28, 197}, {116,
173}, {29, 198}, {60, 231}, {31, 196}, {83, 143}, {114, 174}, {108, 176}, {59,
230}, {63, 225}, {27, 196}, {115, 172}, {75, 148}, {59, 219}, {60, 220}, {93,
189}, {83, 178}, {94, 191}, {53, 215}, {84, 182}, {85, 183}, {95, 188}, {64,
164}, {67, 167}, {66, 166}, {80, 180}, {81, 181}, {94, 187}, {72, 174}, {73,
175}, {32, 199}, {33, 200}, {70, 172}, {71, 173}, {75, 161}, {65, 170}, {37,
201}, {69, 169}, {68, 168}, {67, 175}, {66, 174}, {64, 172}, {38, 202}, {39,
203}, {54, 216}, {63, 209}, {86, 184}, {86, 185}, {78, 191}, {83, 162}, {52,
198}, {51, 192}, {79, 188}, {68, 176}, {76, 184}, {52, 193}, {54, 195}, {76,
185}, {78, 187}, {53, 194}, {77, 186}, {37, 221}, {38, 222}, {39, 223}, {82,
171}, {63, 197}, {74, 176}, {75, 177}, {32, 219}, {33, 220}, {87, 170}, {50,
205}, {64, 191}, {51, 204} }>;
(II) A more general form is to represent the graph as the orbit of {62, 127}
under the group generated by the following permutations:
a: (32, 80) (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: (4, 40)
c: (1, 2, 10, 17, 54, 74, 91, 38, 24, 5)(3, 6, 25, 39, 92, 73, 53, 16, 9, 8)(4,
20, 29, 79, 90, 107, 113, 59, 43, 11)(7, 12, 44, 60, 72, 106, 97, 78, 28,
19)(13, 30, 22, 36, 85, 103, 109, 67, 47, 15)(14, 51, 37, 89, 96, 88, 65, 50,
41, 57)(18, 62, 56, 111, 114, 120, 105, 94, 93, 34)(21, 61, 48, 68, 108, 102,
84, 83, 45, 35)(23, 33, 52, 71, 112, 70, 63, 32, 27, 76)(26, 77, 95, 98, 119,
117, 110, 55, 42, 40)(31, 86, 75, 81, 66, 116, 118, 115, 69, 80)(46, 99, 82,
101, 104, 100, 87, 64, 49, 58)(121, 128, 133, 168, 176, 213, 202, 149, 143,
123)(122, 136, 141, 188, 195, 239, 237, 182, 178, 134)(124, 144, 150, 203, 214,
175, 167, 132, 131, 129)(125, 151, 155, 216, 212, 228, 222, 162, 157, 126)(127,
158, 163, 223, 229, 218, 215, 154, 153, 145)(130, 165, 171, 231, 217, 210, 208,
191, 189, 159)(135, 179, 183, 234, 240, 194, 187, 140, 139, 137)(138, 185, 161,
220, 174, 233, 235, 206, 197, 146)(142, 147, 198, 207, 238, 232, 225, 219, 190,
184)(148, 200, 193, 226, 224, 172, 169, 180, 152, 204)(156, 160, 186, 192, 201,
211, 236, 230, 170, 164)(166, 173, 221, 227, 209, 199, 196, 205, 177, 181)
d: (25, 36)
e: (9, 15)
f: (7, 18)
g: (88, 100)
h: (63, 69)
m: (92, 103)
n1: (106, 120)
a1: (2, 4)(3, 7)(5, 11)(6, 14)(9, 19)(10, 23)(12, 27)(15, 34)(16, 32)(17,
37)(18, 30)(20, 41)(21, 40)(22, 46)(24, 50)(25, 52)(26, 49)(28, 57)(29, 44)(31,
62)(33, 63)(36, 66)(38, 70)(39, 72)(42, 45)(43, 76)(47, 80)(48, 82)(51, 65)(53,
88)(54, 90)(55, 86)(56, 77)(58, 93)(59, 78)(60, 96)(61, 75)(64, 83)(67, 100)(68,
98)(69, 81)(71, 97)(73, 106)(79, 112)(84, 115)(85, 114)(87, 99)(89, 113)(91,
107)(94, 110)(95, 118)(101, 117)(102, 119)(104, 111)(105, 116)(109, 120)(121,
122)(123, 126)(124, 130)(127, 138)(128, 142)(129, 145)(131, 139)(132, 146)(133,
148)(135, 152)(136, 156)(140, 159)(141, 161)(143, 164)(144, 166)(147, 169)(149,
172)(150, 174)(151, 177)(154, 180)(155, 171)(157, 184)(158, 186)(160, 189)(162,
191)(163, 193)(165, 196)(167, 199)(168, 201)(170, 204)(173, 208)(175, 210)(176,
212)(178, 205)(179, 198)(181, 197)(182, 206)(183, 217)(185, 190)(187, 219)(188,
221)(192, 224)(194, 226)(200, 225)(202, 232)(203, 234)(207, 235)(209, 220)(211,
237)(213, 239)(214, 229)(215, 230)(216, 238)(218, 233)(222, 227)(231, 236)
b1: (112, 118)
c1: (2, 5, 4, 11)(3, 54, 7, 90)(6, 79, 14, 112)(8, 74)(9, 107, 19, 91)(10, 43,
23, 76)(12, 17, 27, 37)(13, 108)(15, 119, 34, 102)(16, 89, 32, 113)(18, 98, 30,
68)(20, 24, 41, 50)(21, 45, 40, 42)(22, 95, 46, 118)(25, 71, 52, 97)(26, 83, 49,
64)(28, 70, 57, 38)(29, 65, 44, 51)(31, 82, 62, 48)(33, 59, 63, 78)(36, 116, 66,
105)(39, 106, 72, 73)(47, 101, 80, 117)(53, 60, 88, 96)(55, 75, 86, 61)(56, 99,
77, 87)(58, 84, 93, 115)(67, 111, 100, 104)(69, 94, 81, 110)(85, 120, 114,
109)(121, 123, 122, 126)(124, 216, 130, 238)(125, 134)(127, 168, 138, 201)(128,
157, 142, 184)(129, 176, 145, 212)(131, 239, 139, 213)(132, 211, 146, 237)(133,
190, 148, 185)(135, 188, 152, 221)(136, 143, 156, 164)(137, 195)(140, 232, 159,
202)(141, 170, 161, 204)(144, 207, 166, 235)(147, 162, 169, 191)(149, 189, 172,
160)(150, 233, 174, 218)(151, 178, 177, 205)(153, 228)(154, 227, 180, 222)(155,
196, 171, 165)(158, 192, 186, 224)(163, 226, 193, 194)(167, 231, 199, 236)(173,
198, 208, 179)(175, 183, 210, 217)(181, 182, 197, 206)(187, 200, 219, 225)(203,
229, 234, 214)(209, 215, 220, 230)(223, 240)
d1: (59, 110)
e1: (44, 56)
f1: (8, 13)
g1: (24, 83)
h1: (10, 61)
m1: (39, 85)
n2: (2, 5)(3, 9)(4, 11)(6, 16)(7, 19)(10, 24)(12, 28)(14, 32)(15, 30)(17,
38)(18, 34)(20, 43)(21, 45)(22, 47)(23, 50)(25, 53)(26, 55)(27, 57)(29, 59)(31,
58)(33, 65)(36, 67)(37, 70)(39, 73)(40, 42)(41, 76)(44, 78)(46, 80)(48, 84)(49,
86)(51, 63)(52, 88)(54, 91)(56, 94)(60, 97)(61, 83)(62, 93)(64, 75)(66, 100)(68,
102)(69, 99)(71, 96)(72, 106)(77, 110)(79, 113)(81, 87)(82, 115)(85, 109)(89,
112)(90, 107)(95, 117)(98, 119)(101, 118)(104, 116)(105, 111)(114, 120)(121,
123)(122, 126)(124, 132)(125, 134)(127, 140)(128, 143)(129, 131)(130, 146)(133,
149)(135, 154)(136, 157)(137, 153)(138, 159)(139, 145)(141, 162)(142, 164)(144,
167)(147, 170)(148, 172)(150, 175)(151, 178)(152, 180)(155, 182)(156, 184)(158,
187)(160, 190)(161, 191)(163, 194)(165, 197)(166, 199)(168, 202)(169, 204)(171,
206)(173, 209)(174, 210)(176, 213)(177, 205)(179, 215)(181, 196)(183, 218)(185,
189)(186, 219)(188, 222)(192, 225)(193, 226)(195, 228)(198, 230)(200, 224)(201,
232)(203, 214)(207, 236)(208, 220)(211, 238)(212, 239)(216, 237)(217, 233)(221,
227)(223, 240)(229, 234)(231, 235)
a2: (97, 105)
b2: (72, 114)
c2: (2, 21)
d2: (6, 22)
e2: (53, 67)
f2: (90, 98)
g2: (73, 109)
h2: (107, 119)
m2: (89, 101)
n3: (51, 99)
a3: (28, 93)
b3: (74, 108)
c3: (20, 26)
d3: (19, 34)
e3: (96, 104)
f3: (78, 94)
g3: (27, 31)
h3: (113, 117)
m3: (5, 45)
n4: (41, 49)
a4: (57, 58)
b4: (14, 46)
c4: (54, 68)
d4: (11, 42)
e4: (50, 64)
f4: (16, 47)
g4: (33, 81)
h4: (76, 86)
m4: (29, 77)
n5: (23, 75)
a5: (71, 116)
b5: (12, 62)
c5: (91, 102)
d5: (52, 66)
e5: (38, 84)
f5: (70, 115)
g5: (17, 48)
h5: (65, 87)
m5: (37, 82)
n6: (60, 111)
a6: (43, 55)
b6: (79, 95)
C4[ 240, 108 ]
240
-1 121 122 123 126
-2 121 125 136 128
-3 124 137 127 129
-4 122 156 125 142
-5 143 123 134 157
-6 144 124 135 158
-7 145 137 138 130
-8 145 139 129 131
-9 132 140 131 153
-10 133 128 151 141
-11 134 126 184 164
-12 165 135 127 185
-13 145 139 129 131
-14 166 130 152 186
-15 132 140 131 153
-16 132 154 187 167
-17 133 155 188 168
-18 145 137 138 130
-19 146 159 139 153
-20 136 147 160 151
-21 121 125 136 128
-22 144 124 135 158
-23 177 148 161 142
-24 143 178 149 162
-25 144 179 150 163
-26 136 147 160 151
-27 190 138 152 196
-28 154 189 140 197
-29 198 155 141 186
-30 124 137 127 129
-31 190 138 152 196
-32 199 146 180 219
-33 220 200 147 181
-34 146 159 139 153
-35 121 122 123 126
-36 144 179 150 163
-37 221 201 148 171
-38 222 202 149 182
-39 223 203 150 183
-40 122 156 125 142
-41 177 156 189 169
-42 134 126 184 164
-43 178 157 190 170
-44 179 158 171 161
-45 143 123 134 157
-46 166 130 152 186
-47 132 154 187 167
-48 133 155 188 168
-49 177 156 189 169
-50 191 172 205 164
-51 165 192 204 173
-52 198 166 193 174
-53 167 215 194 175
-54 176 168 216 195
-55 178 157 190 170
-56 179 158 171 161
-57 180 159 181 160
-58 180 159 181 160
-59 182 162 219 230
-60 220 231 183 163
-61 133 128 151 141
-62 165 135 127 185
-63 209 169 225 197
-64 191 172 205 164
-65 224 170 196 208
-66 198 166 193 174
-67 167 215 194 175
-68 176 168 216 195
-69 209 169 225 197
-70 232 172 227 206
-71 233 226 173 207
-72 223 234 217 174
-73 214 218 240 175
-74 176 212 213 239
-75 177 148 161 142
-76 204 205 184 185
-77 198 155 141 186
-78 187 191 215 206
-79 188 192 216 207
-80 199 146 180 219
-81 220 200 147 181
-82 221 201 148 171
-83 143 178 149 162
-84 222 202 149 182
-85 223 203 150 183
-86 204 205 184 185
-87 224 170 196 208
-88 199 210 226 230
-89 231 200 211 227
-90 201 212 238 195
-91 202 213 237 228
-92 234 203 214 229
-93 154 189 140 197
-94 187 191 215 206
-95 188 192 216 207
-96 209 236 193 217
-97 235 194 218 208
-98 201 212 238 195
-99 165 192 204 173
-100 199 210 226 230
-101 231 200 211 227
-102 202 213 237 228
-103 234 203 214 229
-104 209 236 193 217
-105 235 194 218 208
-106 210 233 229 240
-107 232 211 228 239
-108 176 212 213 239
-109 214 218 240 175
-110 182 162 219 230
-111 220 231 183 163
-112 221 224 235 238
-113 222 225 236 237
-114 223 234 217 174
-115 232 172 227 206
-116 233 226 173 207
-117 222 225 236 237
-118 221 224 235 238
-119 232 211 228 239
-120 210 233 229 240
-121 1 2 35 21
-122 1 35 4 40
-123 1 45 35 5
-124 22 3 6 30
-125 2 4 40 21
-126 11 1 35 42
-127 12 3 62 30
-128 2 61 10 21
-129 13 3 8 30
-130 46 14 7 18
-131 13 15 8 9
-132 47 15 16 9
-133 48 17 61 10
-134 11 45 5 42
-135 22 12 6 62
-136 2 26 20 21
-137 3 7 18 30
-138 27 7 18 31
-139 34 13 8 19
-140 15 93 28 9
-141 77 61 29 10
-142 23 4 40 75
-143 45 24 5 83
-144 22 25 36 6
-145 13 7 18 8
-146 34 80 19 32
-147 33 26 81 20
-148 23 37 82 75
-149 24 38 83 84
-150 25 36 39 85
-151 26 61 20 10
-152 46 14 27 31
-153 34 15 19 9
-154 47 16 93 28
-155 77 48 17 29
-156 4 49 40 41
-157 55 45 5 43
-158 22 44 56 6
-159 34 57 58 19
-160 57 58 26 20
-161 44 23 56 75
-162 110 24 59 83
-163 111 25 36 60
-164 11 50 42 64
-165 99 12 51 62
-166 66 46 14 52
-167 67 47 16 53
-168 68 48 17 54
-169 69 49 41 63
-170 55 43 65 87
-171 44 56 37 82
-172 70 115 50 64
-173 99 71 116 51
-174 66 114 72 52
-175 67 73 53 109
-176 68 74 108 54
-177 23 49 41 75
-178 55 24 83 43
-179 44 56 25 36
-180 57 58 80 32
-181 33 57 58 81
-182 110 59 38 84
-183 111 60 39 85
-184 11 42 86 76
-185 12 62 86 76
-186 77 46 14 29
-187 78 47 16 94
-188 79 48 17 95
-189 49 93 28 41
-190 55 27 31 43
-191 78 50 94 64
-192 99 79 51 95
-193 66 104 52 96
-194 67 105 53 97
-195 68 90 54 98
-196 27 31 65 87
-197 69 93 28 63
-198 66 77 29 52
-199 88 100 80 32
-200 33 89 101 81
-201 90 37 82 98
-202 91 102 38 84
-203 92 103 39 85
-204 99 51 86 76
-205 50 64 86 76
-206 78 70 115 94
-207 79 71 116 95
-208 105 97 65 87
-209 69 104 63 96
-210 88 100 106 120
-211 89 101 107 119
-212 90 74 108 98
-213 91 102 74 108
-214 92 103 73 109
-215 67 78 94 53
-216 68 79 95 54
-217 114 104 72 96
-218 105 73 97 109
-219 110 80 59 32
-220 33 111 81 60
-221 112 37 82 118
-222 113 38 84 117
-223 114 39 72 85
-224 112 118 65 87
-225 69 113 117 63
-226 88 100 71 116
-227 89 101 70 115
-228 91 102 107 119
-229 92 103 106 120
-230 88 110 100 59
-231 89 111 101 60
-232 70 115 107 119
-233 71 116 106 120
-234 92 103 114 72
-235 112 105 118 97
-236 113 104 117 96
-237 91 102 113 117
-238 90 112 118 98
-239 74 107 108 119
-240 73 106 109 120
0