Graph forms
for C4 [ 228, 1 ] = W(114,2)
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On this page are computer-accessible forms for the graph C4[ 228, 1 ] =
W(114,2).
(I) Following is a form readable by MAGMA:
g:=Graph<228|{ {2, 3}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218,
219}, {216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207},
{204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192,
193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181},
{178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166,
167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155},
{152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140,
141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129},
{126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {68,
69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52,
53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {4, 5}, {6, 7}, {8, 9}, {10, 11},
{12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27},
{28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43},
{70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85},
{86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100,
101}, {102, 103}, {104, 105}, {106, 107}, {108, 109}, {110, 111}, {112, 113},
{114, 115}, {1, 2}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210},
{205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181,
182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158},
{153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129,
130}, {125, 126}, {121, 122}, {117, 118}, {69, 70}, {65, 66}, {61, 62}, {57,
58}, {53, 54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21,
22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {73, 74}, {77, 78}, {81,
82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110},
{113, 114}, {3, 4}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196},
{187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139,
140}, {131, 132}, {123, 124}, {115, 116}, {67, 68}, {59, 60}, {51, 52}, {43,
44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99,
100}, {107, 108}, {7, 8}, {215, 216}, {199, 200}, {183, 184}, {167, 168}, {151,
152}, {135, 136}, {119, 120}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87, 88},
{103, 104}, {15, 16}, {207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80},
{111, 112}, {31, 32}, {223, 224}, {159, 160}, {95, 96}, {2, 115}, {4, 117}, {6,
119}, {8, 121}, {10, 123}, {12, 125}, {14, 127}, {1, 114}, {4, 119}, {5, 118},
{8, 123}, {9, 122}, {12, 127}, {13, 126}, {1, 116}, {3, 118}, {9, 124}, {11,
126}, {2, 117}, {3, 116}, {10, 125}, {11, 124}, {5, 120}, {7, 122}, {6, 121},
{191, 192}, {63, 64}, {7, 120}, {13, 128}, {63, 178}, {61, 176}, {47, 162}, {45,
160}, {15, 130}, {29, 144}, {31, 146}, {77, 192}, {79, 194}, {93, 208}, {95,
210}, {109, 224}, {111, 226}, {14, 129}, {63, 176}, {62, 177}, {47, 160}, {46,
161}, {15, 128}, {30, 145}, {31, 144}, {78, 193}, {79, 192}, {94, 209}, {95,
208}, {110, 225}, {111, 224}, {16, 129}, {114, 227}, {62, 175}, {60, 173}, {58,
171}, {56, 169}, {54, 167}, {52, 165}, {50, 163}, {48, 161}, {18, 131}, {20,
133}, {22, 135}, {24, 137}, {26, 139}, {28, 141}, {30, 143}, {80, 193}, {82,
195}, {84, 197}, {86, 199}, {88, 201}, {90, 203}, {92, 205}, {94, 207}, {112,
225}, {16, 131}, {61, 174}, {60, 175}, {57, 170}, {56, 171}, {53, 166}, {52,
167}, {49, 162}, {48, 163}, {17, 130}, {20, 135}, {21, 134}, {24, 139}, {25,
138}, {28, 143}, {29, 142}, {80, 195}, {81, 194}, {84, 199}, {85, 198}, {88,
203}, {89, 202}, {92, 207}, {93, 206}, {112, 227}, {113, 226}, {17, 132}, {59,
174}, {57, 172}, {51, 166}, {49, 164}, {19, 134}, {25, 140}, {27, 142}, {81,
196}, {83, 198}, {89, 204}, {91, 206}, {113, 228}, {18, 133}, {115, 228}, {59,
172}, {58, 173}, {51, 164}, {50, 165}, {19, 132}, {26, 141}, {27, 140}, {82,
197}, {83, 196}, {90, 205}, {91, 204}, {21, 136}, {55, 170}, {53, 168}, {23,
138}, {85, 200}, {87, 202}, {22, 137}, {55, 168}, {54, 169}, {23, 136}, {86,
201}, {87, 200}, {32, 145}, {46, 159}, {44, 157}, {42, 155}, {34, 147}, {36,
149}, {38, 151}, {40, 153}, {96, 209}, {98, 211}, {100, 213}, {102, 215}, {104,
217}, {106, 219}, {108, 221}, {110, 223}, {32, 147}, {45, 158}, {44, 159}, {33,
146}, {36, 151}, {37, 150}, {40, 155}, {41, 154}, {96, 211}, {97, 210}, {100,
215}, {101, 214}, {104, 219}, {105, 218}, {108, 223}, {109, 222}, {33, 148},
{43, 158}, {35, 150}, {41, 156}, {97, 212}, {99, 214}, {105, 220}, {107, 222},
{34, 149}, {43, 156}, {42, 157}, {35, 148}, {98, 213}, {99, 212}, {106, 221},
{107, 220}, {37, 152}, {39, 154}, {101, 216}, {103, 218}, {38, 153}, {39, 152},
{102, 217}, {103, 216}, {1, 228}, {64, 177}, {68, 181}, {66, 179}, {70, 183},
{72, 185}, {74, 187}, {76, 189}, {78, 191}, {64, 179}, {68, 183}, {65, 178},
{69, 182}, {72, 187}, {73, 186}, {76, 191}, {77, 190}, {65, 180}, {67, 182},
{73, 188}, {75, 190}, {66, 181}, {67, 180}, {74, 189}, {75, 188}, {69, 184},
{71, 186}, {70, 185}, {127, 128}, {71, 184} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (92, 206) (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: (70, 184)
c: (83, 197)
d: (52, 166)
e: (86, 200)
f: (102, 216)
g: (8, 122)
h: (20, 134)
m: (51, 165)
n1: (25, 139)
a1: (6, 120)
b1: (29, 143)
c1: (97, 211)
d1: (18, 132)
e1: (49, 163)
f1: (23, 137)
g1: (10, 124)
h1: (77, 191)
m1: (65, 179)
n2: (14, 128)
a2: (78, 192)
b2: (12, 126)
c2: (11, 125)
d2: (17, 131)
e2: (114, 228)
f2: (73, 187)
g2: (87, 201)
h2: (39, 153)
m2: (46, 160)
n3: (13, 127)
a3: (81, 195)
b3: (50, 164)
c3: (106, 220)
d3: (104, 218)
e3: (24, 138)
f3: (55, 169)
g3: (40, 154)
h3: (4, 118)
m3: (93, 207)
n4: (62, 176)
a4: (109, 223)
b4: (26, 140)
c4: (57, 171)
d4: (96, 210)
e4: (113, 227)
f4: (82, 196)
g4: (76, 190)
h4: (112, 226)
m4: (15, 129)
n5: (101, 215)
a5: (66, 180)
b5: (38, 152)
c5: (45, 159)
d5: (91, 205)
e5: (60, 174)
f5: (30, 144)
g5: (75, 189)
h5: (61, 175)
m5: (68, 182)
n6: (34, 148)
a6: (37, 151)
b6: (16, 130)
c6: (47, 161)
d6: (2, 114)(3, 113)(4, 112)(5, 111)(6, 110)(7, 109)(8, 108)(9, 107)(10,
106)(11, 105)(12, 104)(13, 103)(14, 102)(15, 101)(16, 100)(17, 99)(18, 98)(19,
97)(20, 96)(21, 95)(22, 94)(23, 93)(24, 92)(25, 91)(26, 90)(27, 89)(28, 88)(29,
87)(30, 86)(31, 85)(32, 84)(33, 83)(34, 82)(35, 81)(36, 80)(37, 79)(38, 78)(39,
77)(40, 76)(41, 75)(42, 74)(43, 73)(44, 72)(45, 71)(46, 70)(47, 69)(48, 68)(49,
67)(50, 66)(51, 65)(52, 64)(53, 63)(54, 62)(55, 61)(56, 60)(57, 59)(116,
228)(117, 227)(118, 226)(119, 225)(120, 224)(121, 223)(122, 222)(123, 221)(124,
220)(125, 219)(126, 218)(127, 217)(128, 216)(129, 215)(130, 214)(131, 213)(132,
212)(133, 211)(134, 210)(135, 209)(136, 208)(137, 207)(138, 206)(139, 205)(140,
204)(141, 203)(142, 202)(143, 201)(144, 200)(145, 199)(146, 198)(147, 197)(148,
196)(149, 195)(150, 194)(151, 193)(152, 192)(153, 191)(154, 190)(155, 189)(156,
188)(157, 187)(158, 186)(159, 185)(160, 184)(161, 183)(162, 182)(163, 181)(164,
180)(165, 179)(166, 178)(167, 177)(168, 176)(169, 175)(170, 174)(171, 173)
e6: (28, 142)
f6: (59, 173)
g6: (89, 203)
h6: (58, 172)
m6: (5, 119)
n7: (95, 209)
a7: (64, 178)
b7: (107, 221)
c7: (105, 219)
d7: (7, 121)
e7: (98, 212)
f7: (22, 136)
g7: (53, 167)
h7: (74, 188)
m7: (44, 158)
n8: (108, 222)
a8: (90, 204)
b8: (31, 145)
c8: (100, 214)
d8: (88, 202)
e8: (71, 185)
f8: (2, 116)
g8: (103, 217)
h8: (110, 224)
m8: (33, 147)
n9: (111, 225)
a9: (80, 194)
b9: (35, 149)
c9: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114)(115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
228)
d9: (3, 117)
e9: (69, 183)
f9: (36, 150)
g9: (84, 198)
h9: (32, 146)
m9: (63, 177)
n10: (27, 141)
a10: (79, 193)
b10: (48, 162)
c10: (67, 181)
d10: (9, 123)
e10: (42, 156)
f10: (72, 186)
g10: (21, 135)
h10: (19, 133)
m10: (43, 157)
n11: (99, 213)
a11: (85, 199)
b11: (54, 168)
c11: (41, 155)
d11: (94, 208)
C4[ 228, 1 ]
228
-1 2 114 116 228
-2 1 3 115 117
-3 2 4 116 118
-4 3 5 117 119
-5 4 6 118 120
-6 121 5 7 119
-7 122 6 8 120
-8 121 123 7 9
-9 122 124 8 10
-10 11 123 125 9
-11 12 124 126 10
-12 11 13 125 127
-13 12 14 126 128
-14 13 15 127 129
-15 14 16 128 130
-16 15 17 129 131
-17 132 16 18 130
-18 133 17 19 131
-19 132 134 18 20
-20 133 135 19 21
-21 22 134 136 20
-22 23 135 137 21
-23 22 24 136 138
-24 23 25 137 139
-25 24 26 138 140
-26 25 27 139 141
-27 26 28 140 142
-28 143 27 29 141
-29 144 28 30 142
-30 143 145 29 31
-31 144 146 30 32
-32 33 145 147 31
-33 34 146 148 32
-34 33 35 147 149
-35 34 36 148 150
-36 35 37 149 151
-37 36 38 150 152
-38 37 39 151 153
-39 154 38 40 152
-40 155 39 41 153
-41 154 156 40 42
-42 155 157 41 43
-43 44 156 158 42
-44 45 157 159 43
-45 44 46 158 160
-46 45 47 159 161
-47 46 48 160 162
-48 47 49 161 163
-49 48 50 162 164
-50 165 49 51 163
-51 166 50 52 164
-52 165 167 51 53
-53 166 168 52 54
-54 55 167 169 53
-55 56 168 170 54
-56 55 57 169 171
-57 56 58 170 172
-58 57 59 171 173
-59 58 60 172 174
-60 59 61 173 175
-61 176 60 62 174
-62 177 61 63 175
-63 176 178 62 64
-64 177 179 63 65
-65 66 178 180 64
-66 67 179 181 65
-67 66 68 180 182
-68 67 69 181 183
-69 68 70 182 184
-70 69 71 183 185
-71 70 72 184 186
-72 187 71 73 185
-73 188 72 74 186
-74 187 189 73 75
-75 188 190 74 76
-76 77 189 191 75
-77 78 190 192 76
-78 77 79 191 193
-79 78 80 192 194
-80 79 81 193 195
-81 80 82 194 196
-82 81 83 195 197
-83 198 82 84 196
-84 199 83 85 197
-85 198 200 84 86
-86 199 201 85 87
-87 88 200 202 86
-88 89 201 203 87
-89 88 90 202 204
-90 89 91 203 205
-91 90 92 204 206
-92 91 93 205 207
-93 92 94 206 208
-94 209 93 95 207
-95 210 94 96 208
-96 209 211 95 97
-97 210 212 96 98
-98 99 211 213 97
-99 100 212 214 98
-100 99 101 213 215
-101 100 102 214 216
-102 101 103 215 217
-103 102 104 216 218
-104 103 105 217 219
-105 220 104 106 218
-106 221 105 107 219
-107 220 222 106 108
-108 221 223 107 109
-109 110 222 224 108
-110 111 223 225 109
-111 110 112 224 226
-112 111 113 225 227
-113 112 114 226 228
-114 1 113 115 227
-115 2 114 116 228
-116 1 3 115 117
-117 2 4 116 118
-118 3 5 117 119
-119 4 6 118 120
-120 121 5 7 119
-121 122 6 8 120
-122 121 123 7 9
-123 122 124 8 10
-124 11 123 125 9
-125 12 124 126 10
-126 11 13 125 127
-127 12 14 126 128
-128 13 15 127 129
-129 14 16 128 130
-130 15 17 129 131
-131 132 16 18 130
-132 133 17 19 131
-133 132 134 18 20
-134 133 135 19 21
-135 22 134 136 20
-136 23 135 137 21
-137 22 24 136 138
-138 23 25 137 139
-139 24 26 138 140
-140 25 27 139 141
-141 26 28 140 142
-142 143 27 29 141
-143 144 28 30 142
-144 143 145 29 31
-145 144 146 30 32
-146 33 145 147 31
-147 34 146 148 32
-148 33 35 147 149
-149 34 36 148 150
-150 35 37 149 151
-151 36 38 150 152
-152 37 39 151 153
-153 154 38 40 152
-154 155 39 41 153
-155 154 156 40 42
-156 155 157 41 43
-157 44 156 158 42
-158 45 157 159 43
-159 44 46 158 160
-160 45 47 159 161
-161 46 48 160 162
-162 47 49 161 163
-163 48 50 162 164
-164 165 49 51 163
-165 166 50 52 164
-166 165 167 51 53
-167 166 168 52 54
-168 55 167 169 53
-169 56 168 170 54
-170 55 57 169 171
-171 56 58 170 172
-172 57 59 171 173
-173 58 60 172 174
-174 59 61 173 175
-175 176 60 62 174
-176 177 61 63 175
-177 176 178 62 64
-178 177 179 63 65
-179 66 178 180 64
-180 67 179 181 65
-181 66 68 180 182
-182 67 69 181 183
-183 68 70 182 184
-184 69 71 183 185
-185 70 72 184 186
-186 187 71 73 185
-187 188 72 74 186
-188 187 189 73 75
-189 188 190 74 76
-190 77 189 191 75
-191 78 190 192 76
-192 77 79 191 193
-193 78 80 192 194
-194 79 81 193 195
-195 80 82 194 196
-196 81 83 195 197
-197 198 82 84 196
-198 199 83 85 197
-199 198 200 84 86
-200 199 201 85 87
-201 88 200 202 86
-202 89 201 203 87
-203 88 90 202 204
-204 89 91 203 205
-205 90 92 204 206
-206 91 93 205 207
-207 92 94 206 208
-208 209 93 95 207
-209 210 94 96 208
-210 209 211 95 97
-211 210 212 96 98
-212 99 211 213 97
-213 100 212 214 98
-214 99 101 213 215
-215 100 102 214 216
-216 101 103 215 217
-217 102 104 216 218
-218 103 105 217 219
-219 220 104 106 218
-220 221 105 107 219
-221 220 222 106 108
-222 221 223 107 109
-223 110 222 224 108
-224 111 223 225 109
-225 110 112 224 226
-226 111 113 225 227
-227 112 114 226 228
-228 1 113 115 227
0