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On this page are computer-accessible forms for the graph C4[ 120, 39 ] = PL(CS(L(Petersen)[3^10],1)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {44, 61} under the group generated by the following permutations:

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

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

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