C4graphGraph forms for C4 [ 208, 1 ] = W(104,2)

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On this page are computer-accessible forms for the graph C4[ 208, 1 ] = W(104,2).

(I) Following is a form readable by MAGMA:

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

(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.

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

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