C4graphGraph forms for C4 [ 186, 1 ] = W(93,2)

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On this page are computer-accessible forms for the graph C4[ 186, 1 ] = W(93,2).

(I) Following is a form readable by MAGMA:

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

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

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