C4graphGraph forms for C4 [ 182, 1 ] = W(91,2)

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On this page are computer-accessible forms for the graph C4[ 182, 1 ] = W(91,2).

(I) Following is a form readable by MAGMA:

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

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

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