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On this page are computer-accessible forms for the graph C4[ 214, 1 ] = W(107,2).

(I) Following is a form readable by MAGMA:

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

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

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