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On this page are computer-accessible forms for the graph C4[ 120, 28 ] = PL(Curtain_15(1,4,11,14,15),[4^15,10^6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {43, 61} under the group generated by the following permutations:

a: (2, 5)(3, 17)(4, 26)(6, 9)(7, 34)(8, 31)(10, 13)(11, 44)(12, 22)(15, 19)(16, 47)(18, 50)(20, 52)(24, 28)(25, 37)(27, 40)(29, 42)(30, 36)(32, 38)(33, 58)(35, 60)(43, 54)(45, 56)(49, 53)(51, 55)(61, 71)(62, 119)(63, 120)(64, 85)(65, 105)(66, 93)(67, 106)(68, 86)(69, 117)(70, 116)(72, 107)(73, 89)(74, 90)(75, 100)(76, 102)(77, 91)(78, 110)(79, 99)(80, 98)(81, 101)(82, 88)(83, 114)(84, 108)(87, 118)(92, 94)(95, 111)(96, 112)(97, 109)(103, 113)(104, 115)
b: (1, 3, 38, 52, 41, 40, 49, 31, 21, 7, 2, 6, 23, 42, 51, 50, 39, 22, 30, 15)(4, 48, 60, 55, 54, 57, 47, 36, 11, 14, 10, 32, 56, 59, 58, 53, 37, 46, 24, 5)(8, 35, 44, 27, 9, 16, 45, 34, 18, 13, 25, 29, 19, 33, 26, 12, 20, 28, 43, 17)(61, 72, 108, 115, 93, 78, 85, 79, 90, 118, 98, 81, 102, 75, 92, 95, 117, 68, 109, 119)(62, 63, 101, 96, 104, 113, 111, 82, 99, 83)(64, 89, 74, 103, 80, 91, 76, 114, 94, 105, 69, 112, 97, 116, 71, 88, 84, 106, 66, 120)(65, 107, 73, 100, 70, 110, 77, 86, 67, 87)
c: (1, 2)(5, 14)(8, 16)(9, 13)(12, 25)(17, 26)(18, 33)(19, 28)(20, 35)(21, 30)(23, 38)(27, 43)(29, 45)(32, 48)(34, 44)(36, 46)(39, 49)(41, 51)(53, 57)(55, 59)(68, 79)(72, 81)(75, 115)(78, 95)(88, 91)(89, 112)(103, 116)(105, 120)(106, 114)(118, 119)
d: (3, 6)(4, 10)(7, 15)(8, 12)(9, 17)(11, 24)(13, 26)(16, 25)(18, 27)(19, 34)(20, 29)(22, 31)(28, 44)(33, 43)(35, 45)(37, 47)(40, 50)(42, 52)(54, 58)(56, 60)(61, 98)(64, 69)(66, 94)(71, 80)(74, 97)(76, 84)(85, 117)(90, 109)(92, 93)(102, 108)
e: (3, 15)(4, 24)(6, 7)(8, 29)(9, 34)(10, 11)(12, 20)(13, 44)(16, 45)(17, 19)(18, 27)(21, 23)(22, 52)(25, 35)(26, 28)(30, 38)(31, 42)(32, 36)(33, 43)(37, 60)(39, 41)(40, 50)(46, 48)(47, 56)(49, 51)(53, 55)(54, 58)(57, 59)(61, 66)(62, 63)(64, 109)(65, 87)(67, 107)(68, 89)(69, 90)(70, 110)(71, 93)(72, 106)(73, 86)(74, 117)(75, 91)(76, 102)(77, 100)(78, 116)(79, 112)(80, 92)(81, 114)(82, 104)(83, 101)(84, 108)(85, 97)(88, 115)(94, 98)(95, 103)(96, 99)(105, 118)(111, 113)(119, 120)

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

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