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On this page are computer-accessible forms for the graph C4[ 162, 3 ] = {4,4}_9,9.

(I) Following is a form readable by MAGMA:

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

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

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