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On this page are computer-accessible forms for the graph C4[ 120, 21 ] = PL(MSY(4,15,11,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {47, 61} under the group generated by the following permutations:

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

(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
C4[ 120, 21 ]
120
-1 61 105 62 106
-2 77 78 61 62
-3 77 78 93 94
-4 110 93 94 109
-5 66 110 65 109
-6 66 81 82 65
-7 81 82 97 98
-8 113 114 97 98
-9 69 113 70 114
-10 69 70 85 86
-11 101 102 85 86
-12 101 102 117 118
-13 73 117 74 118
-14 89 90 73 74
-15 89 90 105 106
-16 62 63 118 119
-17 66 67 62 63
-18 66 67 70 71
-19 70 71 74 75
-20 78 79 74 75
-21 78 79 82 83
-22 82 83 86 87
-23 90 91 86 87
-24 90 91 94 95
-25 99 94 95 98
-26 99 102 103 98
-27 102 103 106 107
-28 110 111 106 107
-29 110 111 114 115
-30 114 115 118 119
-31 63 107 64 108
-32 79 80 63 64
-33 79 80 95 96
-34 111 112 95 96
-35 67 111 68 112
-36 67 68 83 84
-37 99 100 83 84
-38 99 100 115 116
-39 71 115 72 116
-40 88 71 72 87
-41 88 103 104 87
-42 103 104 119 120
-43 75 119 76 120
-44 91 92 75 76
-45 91 92 107 108
-46 61 117 64 120
-47 68 61 64 65
-48 68 69 72 65
-49 69 72 73 76
-50 77 80 73 76
-51 77 80 81 84
-52 88 81 84 85
-53 88 89 92 85
-54 89 92 93 96
-55 100 93 96 97
-56 100 101 104 97
-57 101 104 105 108
-58 112 105 108 109
-59 112 113 116 109
-60 113 116 117 120
-61 1 2 46 47
-62 1 2 16 17
-63 16 17 31 32
-64 46 47 31 32
-65 47 48 5 6
-66 5 6 17 18
-67 35 36 17 18
-68 35 36 47 48
-69 48 49 9 10
-70 18 19 9 10
-71 39 18 40 19
-72 48 49 39 40
-73 13 14 49 50
-74 13 14 19 20
-75 44 19 20 43
-76 44 49 50 43
-77 2 3 50 51
-78 2 3 20 21
-79 33 20 21 32
-80 33 50 51 32
-81 6 7 51 52
-82 22 6 7 21
-83 22 36 37 21
-84 36 37 51 52
-85 11 52 53 10
-86 11 22 23 10
-87 22 23 40 41
-88 40 41 52 53
-89 14 15 53 54
-90 23 24 14 15
-91 44 23 45 24
-92 44 45 53 54
-93 55 3 4 54
-94 24 3 25 4
-95 33 34 24 25
-96 33 55 34 54
-97 55 56 7 8
-98 25 26 7 8
-99 25 26 37 38
-100 55 56 37 38
-101 11 12 56 57
-102 11 12 26 27
-103 26 27 41 42
-104 56 57 41 42
-105 1 57 58 15
-106 1 15 27 28
-107 45 27 28 31
-108 45 57 58 31
-109 58 4 59 5
-110 4 5 28 29
-111 34 35 28 29
-112 34 35 58 59
-113 59 60 8 9
-114 29 8 30 9
-115 38 39 29 30
-116 59 38 60 39
-117 12 13 46 60
-118 12 13 16 30
-119 16 30 42 43
-120 46 60 42 43
0

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