C4graphGraph forms for C4 [ 204, 1 ] = W(102,2)

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On this page are computer-accessible forms for the graph C4[ 204, 1 ] = W(102,2).

(I) Following is a form readable by MAGMA:

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

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

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