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