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On this page are computer-accessible forms for the graph C4[ 146, 2 ] = C_146(1,27).

(I) Following is a form readable by MAGMA:

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

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

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