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On this page are computer-accessible forms for the graph C4[ 120, 33 ] = PL(BC_30({0,15},{1,26}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {28, 29} under the group generated by the following permutations:

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

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