[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 120, 55 ] = SDD(TAG(F10)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {60, 61} under the group generated by the following permutations:

a: (44, 58)
b: (29, 33)
c: (41, 45)
d: (13, 34)
e: (14, 55)
f: (11, 17)
g: (43, 59)
h: (20, 23)
m: (15, 30)
n1: (31, 57)
a1: (32, 54)
b1: (8, 27)
c1: (4, 39)
d1: (9, 46)
e1: (5, 40)
f1: (3, 52)
g1: (53, 56)
h1: (10, 38)
m1: (6, 50)
n2: (2, 51)
a2: (35, 48)
b2: (7, 26)
c2: (19, 28)
d2: (36, 49)
e2: (22, 42)
f2: (12, 18)
g2: (16, 25)
h2: (2, 4)(3, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(13, 21)(15, 20)(17, 26)(18, 28)(22, 29)(23, 30)(24, 36)(25, 38)(27, 40)(31, 43)(32, 41)(33, 42)(34, 47)(35, 44)(37, 49)(39, 51)(45, 54)(46, 55)(48, 58)(50, 52)(57, 59)(61, 63)(62, 65)(64, 68)(66, 71)(67, 72)(69, 75)(70, 77)(73, 81)(74, 83)(76, 85)(79, 89)(80, 91)(82, 90)(84, 92)(86, 96)(88, 98)(93, 103)(94, 101)(95, 106)(97, 108)(100, 112)(102, 114)(104, 105)(107, 109)(111, 119)(113, 120)(115, 116)(117, 118)
m2: (2, 3)(4, 6)(7, 10)(9, 13)(11, 16)(14, 21)(15, 20)(17, 25)(22, 32)(23, 30)(24, 35)(26, 38)(29, 41)(31, 43)(33, 45)(34, 46)(36, 44)(37, 48)(39, 50)(42, 54)(47, 55)(49, 58)(51, 52)(57, 59)(61, 62)(63, 65)(64, 67)(66, 70)(68, 72)(69, 74)(71, 77)(73, 80)(75, 83)(76, 82)(78, 87)(79, 88)(81, 91)(84, 94)(85, 90)(86, 95)(89, 98)(92, 101)(93, 102)(96, 106)(97, 105)(99, 110)(100, 111)(103, 114)(104, 108)(107, 115)(109, 116)(112, 119)(113, 118)(117, 120)
n3: (21, 47)
a3: (1, 2)(3, 5)(4, 7)(6, 9)(8, 12)(10, 15)(13, 20)(14, 22)(16, 24)(18, 27)(19, 29)(21, 31)(23, 34)(25, 37)(26, 39)(28, 33)(30, 38)(32, 44)(36, 43)(40, 52)(41, 53)(42, 55)(45, 56)(46, 50)(47, 57)(49, 59)(51, 60)(54, 58)(62, 64)(63, 66)(65, 69)(68, 73)(70, 76)(71, 78)(72, 79)(74, 82)(75, 84)(77, 86)(80, 90)(81, 92)(83, 93)(85, 88)(87, 97)(89, 99)(91, 100)(94, 104)(95, 105)(96, 107)(98, 109)(101, 113)(102, 108)(103, 112)(106, 115)(110, 117)(111, 118)(116, 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.

**************

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

**************