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On this page are computer-accessible forms for the graph C4[ 185, 1 ] =
C_185(1,36).
(I) Following is a form readable by MAGMA:
g:=Graph<185|{ {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}, {60, 61}, {58,
59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42,
43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {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}, {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}, {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}, {57, 58}, {53, 54}, {49, 50}, {45,
46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25,
26}, {29, 30}, {33, 34}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81,
82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110},
{113, 114}, {3, 4}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148},
{139, 140}, {131, 132}, {123, 124}, {115, 116}, {59, 60}, {51, 52}, {43, 44},
{35, 36}, {11, 12}, {19, 20}, {27, 28}, {67, 68}, {75, 76}, {83, 84}, {91, 92},
{99, 100}, {107, 108}, {7, 8}, {183, 184}, {167, 168}, {151, 152}, {135, 136},
{119, 120}, {55, 56}, {39, 40}, {23, 24}, {71, 72}, {87, 88}, {103, 104}, {15,
16}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {1, 37}, {147,
183}, {146, 182}, {145, 181}, {144, 180}, {139, 175}, {138, 174}, {137, 173},
{136, 172}, {131, 167}, {130, 166}, {129, 165}, {128, 164}, {2, 38}, {3, 39},
{8, 44}, {9, 45}, {10, 46}, {11, 47}, {16, 52}, {17, 53}, {18, 54}, {19, 55},
{24, 60}, {25, 61}, {26, 62}, {27, 63}, {64, 100}, {65, 101}, {66, 102}, {67,
103}, {72, 108}, {73, 109}, {74, 110}, {75, 111}, {80, 116}, {81, 117}, {82,
118}, {83, 119}, {88, 124}, {89, 125}, {90, 126}, {91, 127}, {4, 40}, {149,
185}, {148, 184}, {135, 171}, {134, 170}, {133, 169}, {132, 168}, {5, 41}, {6,
42}, {7, 43}, {20, 56}, {21, 57}, {22, 58}, {23, 59}, {68, 104}, {69, 105}, {70,
106}, {71, 107}, {84, 120}, {85, 121}, {86, 122}, {87, 123}, {12, 48}, {143,
179}, {142, 178}, {141, 177}, {140, 176}, {13, 49}, {14, 50}, {15, 51}, {76,
112}, {77, 113}, {78, 114}, {79, 115}, {31, 32}, {159, 160}, {95, 96}, {28, 64},
{60, 96}, {29, 65}, {30, 66}, {31, 67}, {61, 97}, {62, 98}, {63, 99}, {32, 68},
{59, 95}, {58, 94}, {57, 93}, {56, 92}, {51, 87}, {50, 86}, {49, 85}, {48, 84},
{43, 79}, {42, 78}, {41, 77}, {40, 76}, {35, 71}, {34, 70}, {33, 69}, {36, 72},
{55, 91}, {54, 90}, {53, 89}, {52, 88}, {39, 75}, {38, 74}, {37, 73}, {44, 80},
{47, 83}, {46, 82}, {45, 81}, {63, 64}, {2, 151}, {34, 183}, {8, 157}, {10,
159}, {32, 181}, {1, 150}, {33, 182}, {9, 158}, {3, 152}, {35, 184}, {7, 156},
{4, 153}, {36, 185}, {6, 155}, {5, 154}, {11, 160}, {15, 164}, {27, 176}, {31,
180}, {12, 161}, {14, 163}, {28, 177}, {30, 179}, {13, 162}, {29, 178}, {16,
165}, {18, 167}, {24, 173}, {26, 175}, {17, 166}, {25, 174}, {1, 185}, {19,
168}, {23, 172}, {20, 169}, {22, 171}, {21, 170}, {92, 128}, {127, 163}, {126,
162}, {125, 161}, {124, 160}, {93, 129}, {94, 130}, {95, 131}, {96, 132}, {123,
159}, {122, 158}, {121, 157}, {120, 156}, {115, 151}, {114, 150}, {113, 149},
{97, 133}, {98, 134}, {99, 135}, {104, 140}, {105, 141}, {106, 142}, {107, 143},
{112, 148}, {100, 136}, {119, 155}, {118, 154}, {117, 153}, {116, 152}, {101,
137}, {102, 138}, {103, 139}, {108, 144}, {109, 145}, {110, 146}, {111, 147},
{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: (2, 37)(3, 73)(4, 109)(5, 145)(6, 181)(7, 32)(8, 68)(9, 104)(10, 140)(11,
176)(12, 27)(13, 63)(14, 99)(15, 135)(16, 171)(17, 22)(18, 58)(19, 94)(20,
130)(21, 166)(23, 53)(24, 89)(25, 125)(26, 161)(28, 48)(29, 84)(30, 120)(31,
156)(33, 43)(34, 79)(35, 115)(36, 151)(39, 74)(40, 110)(41, 146)(42, 182)(44,
69)(45, 105)(46, 141)(47, 177)(49, 64)(50, 100)(51, 136)(52, 172)(54, 59)(55,
95)(56, 131)(57, 167)(60, 90)(61, 126)(62, 162)(65, 85)(66, 121)(67, 157)(70,
80)(71, 116)(72, 152)(76, 111)(77, 147)(78, 183)(81, 106)(82, 142)(83, 178)(86,
101)(87, 137)(88, 173)(91, 96)(92, 132)(93, 168)(97, 127)(98, 163)(102,
122)(103, 158)(107, 117)(108, 153)(113, 148)(114, 184)(118, 143)(119, 179)(123,
138)(124, 174)(128, 133)(129, 169)(134, 164)(139, 159)(144, 154)(150, 185)(155,
180)(160, 175)(165, 170) (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 **************
b: (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)
c: (2, 150)(3, 114)(4, 78)(5, 42)(7, 155)(8, 119)(9, 83)(10, 47)(12, 160)(13,
124)(14, 88)(15, 52)(17, 165)(18, 129)(19, 93)(20, 57)(22, 170)(23, 134)(24,
98)(25, 62)(27, 175)(28, 139)(29, 103)(30, 67)(32, 180)(33, 144)(34, 108)(35,
72)(37, 185)(38, 149)(39, 113)(40, 77)(43, 154)(44, 118)(45, 82)(48, 159)(49,
123)(50, 87)(53, 164)(54, 128)(55, 92)(58, 169)(59, 133)(60, 97)(63, 174)(64,
138)(65, 102)(68, 179)(69, 143)(70, 107)(73, 184)(74, 148)(75, 112)(79, 153)(80,
117)(84, 158)(85, 122)(89, 163)(90, 127)(94, 168)(95, 132)(99, 173)(100,
137)(104, 178)(105, 142)(109, 183)(110, 147)(115, 152)(120, 157)(125, 162)(130,
167)(135, 172)(140, 177)(145, 182)
C4[ 185, 1 ]
185
-1 2 37 150 185
-2 1 3 38 151
-3 2 4 39 152
-4 3 5 40 153
-5 154 4 6 41
-6 155 5 7 42
-7 156 6 8 43
-8 44 157 7 9
-9 45 158 8 10
-10 11 46 159 9
-11 12 47 160 10
-12 11 13 48 161
-13 12 14 49 162
-14 13 15 50 163
-15 14 16 51 164
-16 165 15 17 52
-17 166 16 18 53
-18 167 17 19 54
-19 55 168 18 20
-20 56 169 19 21
-21 22 57 170 20
-22 23 58 171 21
-23 22 24 59 172
-24 23 25 60 173
-25 24 26 61 174
-26 25 27 62 175
-27 176 26 28 63
-28 177 27 29 64
-29 178 28 30 65
-30 66 179 29 31
-31 67 180 30 32
-32 33 68 181 31
-33 34 69 182 32
-34 33 35 70 183
-35 34 36 71 184
-36 35 37 72 185
-37 1 36 38 73
-38 2 37 39 74
-39 3 38 40 75
-40 4 39 41 76
-41 77 5 40 42
-42 78 6 41 43
-43 44 79 7 42
-44 45 80 8 43
-45 44 46 81 9
-46 45 47 82 10
-47 11 46 48 83
-48 12 47 49 84
-49 13 48 50 85
-50 14 49 51 86
-51 15 50 52 87
-52 88 16 51 53
-53 89 17 52 54
-54 55 90 18 53
-55 56 91 19 54
-56 55 57 92 20
-57 56 58 93 21
-58 22 57 59 94
-59 23 58 60 95
-60 24 59 61 96
-61 25 60 62 97
-62 26 61 63 98
-63 99 27 62 64
-64 100 28 63 65
-65 66 101 29 64
-66 67 102 30 65
-67 66 68 103 31
-68 67 69 104 32
-69 33 68 70 105
-70 34 69 71 106
-71 35 70 72 107
-72 36 71 73 108
-73 37 72 74 109
-74 110 38 73 75
-75 111 39 74 76
-76 77 112 40 75
-77 78 113 41 76
-78 77 79 114 42
-79 78 80 115 43
-80 44 79 81 116
-81 45 80 82 117
-82 46 81 83 118
-83 47 82 84 119
-84 48 83 85 120
-85 121 49 84 86
-86 122 50 85 87
-87 88 123 51 86
-88 89 124 52 87
-89 88 90 125 53
-90 89 91 126 54
-91 55 90 92 127
-92 56 91 93 128
-93 57 92 94 129
-94 58 93 95 130
-95 59 94 96 131
-96 132 60 95 97
-97 133 61 96 98
-98 99 134 62 97
-99 100 135 63 98
-100 99 101 136 64
-101 100 102 137 65
-102 66 101 103 138
-103 67 102 104 139
-104 68 103 105 140
-105 69 104 106 141
-106 70 105 107 142
-107 143 71 106 108
-108 144 72 107 109
-109 110 145 73 108
-110 111 146 74 109
-111 110 112 147 75
-112 111 113 148 76
-113 77 112 114 149
-114 78 113 115 150
-115 79 114 116 151
-116 80 115 117 152
-117 81 116 118 153
-118 154 82 117 119
-119 155 83 118 120
-120 121 156 84 119
-121 122 157 85 120
-122 121 123 158 86
-123 122 124 159 87
-124 88 123 125 160
-125 89 124 126 161
-126 90 125 127 162
-127 91 126 128 163
-128 92 127 129 164
-129 165 93 128 130
-130 166 94 129 131
-131 132 167 95 130
-132 133 168 96 131
-133 132 134 169 97
-134 133 135 170 98
-135 99 134 136 171
-136 100 135 137 172
-137 101 136 138 173
-138 102 137 139 174
-139 103 138 140 175
-140 176 104 139 141
-141 177 105 140 142
-142 143 178 106 141
-143 144 179 107 142
-144 143 145 180 108
-145 144 146 181 109
-146 110 145 147 182
-147 111 146 148 183
-148 112 147 149 184
-149 113 148 150 185
-150 1 114 149 151
-151 2 115 150 152
-152 3 116 151 153
-153 154 4 117 152
-154 155 5 118 153
-155 154 156 6 119
-156 155 157 7 120
-157 121 156 158 8
-158 122 157 159 9
-159 123 158 160 10
-160 11 124 159 161
-161 12 125 160 162
-162 13 126 161 163
-163 14 127 162 164
-164 165 15 128 163
-165 166 16 129 164
-166 165 167 17 130
-167 166 168 18 131
-168 132 167 169 19
-169 133 168 170 20
-170 134 169 171 21
-171 22 135 170 172
-172 23 136 171 173
-173 24 137 172 174
-174 25 138 173 175
-175 176 26 139 174
-176 177 27 140 175
-177 176 178 28 141
-178 177 179 29 142
-179 143 178 180 30
-180 144 179 181 31
-181 145 180 182 32
-182 33 146 181 183
-183 34 147 182 184
-184 35 148 183 185
-185 1 36 149 184
0