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