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On this page are computer-accessible forms for the graph C4[ 165, 8 ] = MSY(5,33,16,0).

(I) Following is a form readable by MAGMA:

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

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

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