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

On this page are computer-accessible forms for the graph C4[ 120, 64 ] = SDD(Pr_10(1,1,3,3)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 63} under the group generated by the following permutations:

a: (86, 116)
b: (87, 117)
c: (88, 118)
d: (83, 113)
e: (69, 99)
f: (67, 97)
g: (65, 95)
h: (72, 102)
m: (68, 98)
n1: (85, 115)
a1: (1, 2, 26, 23, 20, 17, 14, 11, 8, 5)(3, 30, 28, 25, 22, 19, 16, 13, 10, 7)(4, 29, 27, 24, 21, 18, 15, 12, 9, 6)(31, 50, 48, 46, 43, 41, 39, 37, 35, 33)(32, 49, 47, 45, 44, 42, 40, 38, 36, 34)(51, 56, 54, 52, 60, 59, 58, 57, 55, 53)(61, 70, 69, 68, 67, 66, 65, 64, 63, 62)(71, 80, 79, 78, 77, 76, 75, 74, 73, 72)(81, 90, 89, 88, 87, 86, 85, 84, 83, 82)(91, 100, 99, 98, 97, 96, 95, 94, 93, 92)(101, 110, 109, 108, 107, 106, 105, 104, 103, 102)(111, 120, 119, 118, 117, 116, 115, 114, 113, 112)
b1: (79, 109)
c1: (62, 92)
d1: (71, 101)
e1: (61, 91)
f1: (84, 114)
g1: (63, 93)
h1: (73, 103)
m1: (2, 7)(3, 6)(4, 5)(8, 50)(9, 30)(10, 49)(11, 44)(12, 56)(13, 60)(14, 22)(15, 43)(16, 24)(18, 20)(19, 21)(23, 39)(25, 40)(26, 34)(27, 58)(28, 53)(29, 33)(36, 55)(37, 57)(45, 52)(48, 54)(61, 62)(63, 80)(64, 90)(65, 77)(66, 67)(68, 75)(69, 85)(70, 72)(73, 83)(74, 87)(78, 88)(79, 82)(91, 92)(93, 110)(94, 120)(95, 107)(96, 97)(98, 105)(99, 115)(100, 102)(103, 113)(104, 117)(108, 118)(109, 112)
n2: (76, 106)
a2: (70, 100)
b2: (81, 111)
c2: (2, 5)(3, 6)(4, 7)(8, 26)(9, 30)(10, 29)(11, 23)(12, 28)(13, 27)(14, 20)(15, 25)(16, 24)(18, 22)(19, 21)(31, 32)(33, 49)(34, 50)(35, 47)(36, 48)(37, 45)(38, 46)(39, 44)(40, 43)(41, 42)(52, 57)(53, 56)(54, 55)(58, 60)(61, 62)(63, 70)(64, 69)(65, 68)(66, 67)(72, 80)(73, 79)(74, 78)(75, 77)(81, 84)(82, 83)(85, 90)(86, 89)(87, 88)(91, 92)(93, 100)(94, 99)(95, 98)(96, 97)(102, 110)(103, 109)(104, 108)(105, 107)(111, 114)(112, 113)(115, 120)(116, 119)(117, 118)
d2: (89, 119)
e2: (77, 107)
f2: (66, 96)
g2: (80, 110)
h2: (90, 120)
m2: (82, 112)
n3: (64, 94)
a3: (75, 105)
b3: (78, 108)

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

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