[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 216, 1 ] = W(108,2).

(I) Following is a form readable by MAGMA:

g:=Graph<216|{ {2, 3}, {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}, {70, 71}, {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}, {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}, {1, 2}, {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}, {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}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {3, 4}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {7, 8}, {215, 216}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {135, 136}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {15, 16}, {207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {159, 160}, {95, 96}, {4, 111}, {16, 123}, {20, 127}, {1, 108}, {2, 111}, {3, 110}, {16, 125}, {17, 124}, {18, 127}, {19, 126}, {1, 110}, {2, 109}, {17, 126}, {18, 125}, {3, 112}, {7, 116}, {11, 120}, {15, 124}, {4, 113}, {5, 112}, {6, 115}, {7, 114}, {12, 121}, {13, 120}, {14, 123}, {15, 122}, {5, 114}, {6, 113}, {13, 122}, {14, 121}, {8, 115}, {12, 119}, {8, 117}, {9, 116}, {10, 119}, {11, 118}, {9, 118}, {191, 192}, {63, 64}, {10, 117}, {19, 128}, {63, 172}, {59, 168}, {55, 164}, {51, 160}, {23, 132}, {27, 136}, {31, 140}, {83, 192}, {87, 196}, {91, 200}, {95, 204}, {20, 129}, {63, 170}, {62, 171}, {61, 168}, {60, 169}, {55, 162}, {54, 163}, {53, 160}, {52, 161}, {21, 128}, {22, 131}, {23, 130}, {28, 137}, {29, 136}, {30, 139}, {31, 138}, {84, 193}, {85, 192}, {86, 195}, {87, 194}, {92, 201}, {93, 200}, {94, 203}, {95, 202}, {21, 130}, {62, 169}, {61, 170}, {54, 161}, {53, 162}, {22, 129}, {29, 138}, {30, 137}, {85, 194}, {86, 193}, {93, 202}, {94, 201}, {24, 131}, {60, 167}, {56, 163}, {28, 135}, {88, 195}, {92, 199}, {24, 133}, {59, 166}, {58, 167}, {57, 164}, {56, 165}, {25, 132}, {26, 135}, {27, 134}, {88, 197}, {89, 196}, {90, 199}, {91, 198}, {25, 134}, {58, 165}, {57, 166}, {26, 133}, {89, 198}, {90, 197}, {32, 139}, {52, 159}, {48, 155}, {36, 143}, {96, 203}, {100, 207}, {32, 141}, {51, 158}, {50, 159}, {49, 156}, {48, 157}, {33, 140}, {34, 143}, {35, 142}, {96, 205}, {97, 204}, {98, 207}, {99, 206}, {33, 142}, {50, 157}, {49, 158}, {34, 141}, {97, 206}, {98, 205}, {35, 144}, {47, 156}, {43, 152}, {39, 148}, {99, 208}, {103, 212}, {107, 216}, {36, 145}, {47, 154}, {46, 155}, {45, 152}, {44, 153}, {37, 144}, {38, 147}, {39, 146}, {100, 209}, {101, 208}, {102, 211}, {103, 210}, {109, 216}, {37, 146}, {46, 153}, {45, 154}, {38, 145}, {101, 210}, {102, 209}, {40, 147}, {44, 151}, {104, 211}, {108, 215}, {40, 149}, {41, 148}, {42, 151}, {43, 150}, {104, 213}, {105, 212}, {106, 215}, {107, 214}, {41, 150}, {42, 149}, {105, 214}, {106, 213}, {1, 216}, {64, 171}, {68, 175}, {80, 187}, {84, 191}, {64, 173}, {67, 174}, {66, 175}, {65, 172}, {80, 189}, {81, 188}, {82, 191}, {83, 190}, {65, 174}, {66, 173}, {81, 190}, {82, 189}, {67, 176}, {71, 180}, {75, 184}, {79, 188}, {68, 177}, {70, 179}, {69, 176}, {71, 178}, {76, 185}, {77, 184}, {78, 187}, {79, 186}, {69, 178}, {70, 177}, {77, 186}, {78, 185}, {72, 179}, {76, 183}, {72, 181}, {73, 180}, {74, 183}, {75, 182}, {73, 182}, {74, 181}, {127, 128} }>;

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

(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
C4[ 216, 1 ]
216
-1 110 2 216 108
-2 1 111 3 109
-3 110 2 112 4
-4 111 3 113 5
-5 112 4 114 6
-6 113 5 115 7
-7 114 6 116 8
-8 115 7 117 9
-9 116 8 118 10
-10 11 117 9 119
-11 12 118 10 120
-12 11 121 13 119
-13 12 122 14 120
-14 121 13 123 15
-15 122 14 124 16
-16 123 15 125 17
-17 124 16 126 18
-18 125 17 127 19
-19 126 18 128 20
-20 127 19 129 21
-21 22 128 20 130
-22 23 129 21 131
-23 22 132 24 130
-24 23 133 25 131
-25 132 24 134 26
-26 133 25 135 27
-27 134 26 136 28
-28 135 27 137 29
-29 136 28 138 30
-30 137 29 139 31
-31 138 30 140 32
-32 33 139 31 141
-33 34 140 32 142
-34 33 143 35 141
-35 34 144 36 142
-36 143 35 145 37
-37 144 36 146 38
-38 145 37 147 39
-39 146 38 148 40
-40 147 39 149 41
-41 148 40 150 42
-42 149 41 151 43
-43 44 150 42 152
-44 45 151 43 153
-45 44 154 46 152
-46 45 155 47 153
-47 154 46 156 48
-48 155 47 157 49
-49 156 48 158 50
-50 157 49 159 51
-51 158 50 160 52
-52 159 51 161 53
-53 160 52 162 54
-54 55 161 53 163
-55 56 162 54 164
-56 55 165 57 163
-57 56 166 58 164
-58 165 57 167 59
-59 166 58 168 60
-60 167 59 169 61
-61 168 60 170 62
-62 169 61 171 63
-63 170 62 172 64
-64 171 63 173 65
-65 66 172 64 174
-66 67 173 65 175
-67 66 176 68 174
-68 67 177 69 175
-69 176 68 178 70
-70 177 69 179 71
-71 178 70 180 72
-72 179 71 181 73
-73 180 72 182 74
-74 181 73 183 75
-75 182 74 184 76
-76 77 183 75 185
-77 78 184 76 186
-78 77 187 79 185
-79 78 188 80 186
-80 187 79 189 81
-81 188 80 190 82
-82 189 81 191 83
-83 190 82 192 84
-84 191 83 193 85
-85 192 84 194 86
-86 193 85 195 87
-87 88 194 86 196
-88 89 195 87 197
-89 88 198 90 196
-90 89 199 91 197
-91 198 90 200 92
-92 199 91 201 93
-93 200 92 202 94
-94 201 93 203 95
-95 202 94 204 96
-96 203 95 205 97
-97 204 96 206 98
-98 99 205 97 207
-99 100 206 98 208
-100 99 209 101 207
-101 100 210 102 208
-102 209 101 211 103
-103 210 102 212 104
-104 211 103 213 105
-105 212 104 214 106
-106 213 105 215 107
-107 214 106 216 108
-108 1 215 107 109
-109 110 2 216 108
-110 1 111 3 109
-111 110 2 112 4
-112 111 3 113 5
-113 112 4 114 6
-114 113 5 115 7
-115 114 6 116 8
-116 115 7 117 9
-117 116 8 118 10
-118 11 117 9 119
-119 12 118 10 120
-120 11 121 13 119
-121 12 122 14 120
-122 121 13 123 15
-123 122 14 124 16
-124 123 15 125 17
-125 124 16 126 18
-126 125 17 127 19
-127 126 18 128 20
-128 127 19 129 21
-129 22 128 20 130
-130 23 129 21 131
-131 22 132 24 130
-132 23 133 25 131
-133 132 24 134 26
-134 133 25 135 27
-135 134 26 136 28
-136 135 27 137 29
-137 136 28 138 30
-138 137 29 139 31
-139 138 30 140 32
-140 33 139 31 141
-141 34 140 32 142
-142 33 143 35 141
-143 34 144 36 142
-144 143 35 145 37
-145 144 36 146 38
-146 145 37 147 39
-147 146 38 148 40
-148 147 39 149 41
-149 148 40 150 42
-150 149 41 151 43
-151 44 150 42 152
-152 45 151 43 153
-153 44 154 46 152
-154 45 155 47 153
-155 154 46 156 48
-156 155 47 157 49
-157 156 48 158 50
-158 157 49 159 51
-159 158 50 160 52
-160 159 51 161 53
-161 160 52 162 54
-162 55 161 53 163
-163 56 162 54 164
-164 55 165 57 163
-165 56 166 58 164
-166 165 57 167 59
-167 166 58 168 60
-168 167 59 169 61
-169 168 60 170 62
-170 169 61 171 63
-171 170 62 172 64
-172 171 63 173 65
-173 66 172 64 174
-174 67 173 65 175
-175 66 176 68 174
-176 67 177 69 175
-177 176 68 178 70
-178 177 69 179 71
-179 178 70 180 72
-180 179 71 181 73
-181 180 72 182 74
-182 181 73 183 75
-183 182 74 184 76
-184 77 183 75 185
-185 78 184 76 186
-186 77 187 79 185
-187 78 188 80 186
-188 187 79 189 81
-189 188 80 190 82
-190 189 81 191 83
-191 190 82 192 84
-192 191 83 193 85
-193 192 84 194 86
-194 193 85 195 87
-195 88 194 86 196
-196 89 195 87 197
-197 88 198 90 196
-198 89 199 91 197
-199 198 90 200 92
-200 199 91 201 93
-201 200 92 202 94
-202 201 93 203 95
-203 202 94 204 96
-204 203 95 205 97
-205 204 96 206 98
-206 99 205 97 207
-207 100 206 98 208
-208 99 209 101 207
-209 100 210 102 208
-210 209 101 211 103
-211 210 102 212 104
-212 211 103 213 105
-213 212 104 214 106
-214 213 105 215 107
-215 214 106 216 108
-216 1 215 107 109
0

**************