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On this page are computer-accessible forms for the graph C4[ 120, 58 ] = PL(CS(Pr_5(1,1,2,2)[5^6],0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {17, 61} under the group generated by the following permutations:

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

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