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

On this page are computer-accessible forms for the graph C4[ 158, 1 ] = W(79,2).

(I) Following is a form readable by MAGMA:

g:=Graph<158|{ {2, 3}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {1, 2}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {3, 4}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {7, 8}, {151, 152}, {135, 136}, {119, 120}, {103, 104}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {31, 32}, {95, 96}, {1, 79}, {49, 127}, {48, 126}, {33, 111}, {32, 110}, {16, 94}, {17, 95}, {1, 81}, {47, 127}, {46, 126}, {45, 125}, {44, 124}, {43, 123}, {42, 122}, {41, 121}, {40, 120}, {39, 119}, {38, 118}, {37, 117}, {36, 116}, {35, 115}, {34, 114}, {33, 113}, {32, 112}, {2, 82}, {3, 83}, {4, 84}, {5, 85}, {6, 86}, {7, 87}, {8, 88}, {9, 89}, {10, 90}, {11, 91}, {12, 92}, {13, 93}, {14, 94}, {15, 95}, {2, 80}, {47, 125}, {46, 124}, {43, 121}, {42, 120}, {39, 117}, {38, 116}, {35, 113}, {34, 112}, {3, 81}, {6, 84}, {7, 85}, {10, 88}, {11, 89}, {14, 92}, {15, 93}, {4, 82}, {45, 123}, {44, 122}, {37, 115}, {36, 114}, {5, 83}, {12, 90}, {13, 91}, {8, 86}, {41, 119}, {40, 118}, {9, 87}, {16, 96}, {31, 111}, {30, 110}, {17, 97}, {18, 98}, {19, 99}, {20, 100}, {21, 101}, {22, 102}, {23, 103}, {24, 104}, {25, 105}, {26, 106}, {27, 107}, {28, 108}, {29, 109}, {18, 96}, {31, 109}, {30, 108}, {19, 97}, {22, 100}, {23, 101}, {26, 104}, {27, 105}, {20, 98}, {21, 99}, {28, 106}, {29, 107}, {24, 102}, {25, 103}, {63, 64}, {1, 158}, {48, 128}, {49, 129}, {50, 130}, {51, 131}, {52, 132}, {53, 133}, {54, 134}, {55, 135}, {56, 136}, {57, 137}, {58, 138}, {59, 139}, {60, 140}, {61, 141}, {62, 142}, {63, 143}, {50, 128}, {51, 129}, {54, 132}, {55, 133}, {58, 136}, {59, 137}, {62, 140}, {63, 141}, {52, 130}, {53, 131}, {60, 138}, {61, 139}, {56, 134}, {57, 135}, {64, 142}, {65, 143}, {80, 158}, {64, 144}, {65, 145}, {66, 146}, {67, 147}, {68, 148}, {69, 149}, {70, 150}, {71, 151}, {72, 152}, {73, 153}, {74, 154}, {75, 155}, {76, 156}, {77, 157}, {78, 158}, {66, 144}, {67, 145}, {70, 148}, {71, 149}, {74, 152}, {75, 153}, {78, 156}, {79, 157}, {68, 146}, {69, 147}, {76, 154}, {77, 155}, {72, 150}, {73, 151}, {127, 128} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (5, 84)
b: (22, 101)
c: (76, 155)
d: (59, 138)
e: (33, 112)
f: (36, 115)
g: (3, 82)
h: (48, 127)
m: (10, 89)
n1: (38, 117)
a1: (77, 156)
b1: (57, 136)
c1: (70, 149)
d1: (52, 131)
e1: (21, 100)
f1: (61, 140)
g1: (26, 105)
h1: (46, 125)
m1: (65, 144)
n2: (44, 123)
a2: (23, 102)
b2: (53, 132)
c2: (7, 86)
d2: (31, 110)
e2: (32, 111)
f2: (67, 146)
g2: (24, 103)
h2: (43, 122)
m2: (47, 126)
n3: (2, 79)(3, 78)(4, 77)(5, 76)(6, 75)(7, 74)(8, 73)(9, 72)(10, 71)(11, 70)(12, 69)(13, 68)(14, 67)(15, 66)(16, 65)(17, 64)(18, 63)(19, 62)(20, 61)(21, 60)(22, 59)(23, 58)(24, 57)(25, 56)(26, 55)(27, 54)(28, 53)(29, 52)(30, 51)(31, 50)(32, 49)(33, 48)(34, 47)(35, 46)(36, 45)(37, 44)(38, 43)(39, 42)(40, 41)(81, 158)(82, 157)(83, 156)(84, 155)(85, 154)(86, 153)(87, 152)(88, 151)(89, 150)(90, 149)(91, 148)(92, 147)(93, 146)(94, 145)(95, 144)(96, 143)(97, 142)(98, 141)(99, 140)(100, 139)(101, 138)(102, 137)(103, 136)(104, 135)(105, 134)(106, 133)(107, 132)(108, 131)(109, 130)(110, 129)(111, 128)(112, 127)(113, 126)(114, 125)(115, 124)(116, 123)(117, 122)(118, 121)(119, 120)
a3: (73, 152)
b3: (54, 133)
c3: (14, 93)
d3: (78, 157)
e3: (19, 98)
f3: (8, 87)
g3: (40, 119)
h3: (79, 158)
m3: (71, 150)
n4: (62, 141)
a4: (75, 154)
b4: (4, 83)
c4: (17, 96)
d4: (16, 95)
e4: (50, 129)
f4: (29, 108)
g4: (13, 92)
h4: (12, 91)
m4: (15, 94)
n5: (72, 151)
a5: (49, 128)
b5: (37, 116)
c5: (35, 114)
d5: (6, 85)
e5: (34, 113)
f5: (60, 139)
g5: (63, 142)
h5: (41, 120)
m5: (45, 124)
n6: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79)(80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158)
a6: (18, 97)
b6: (2, 81)
c6: (74, 153)
d6: (58, 137)
e6: (30, 109)
f6: (64, 143)
g6: (25, 104)
h6: (9, 88)
m6: (66, 145)
n7: (55, 134)
a7: (27, 106)
b7: (42, 121)
c7: (11, 90)
d7: (68, 147)
e7: (51, 130)
f7: (28, 107)
g7: (56, 135)
h7: (69, 148)
m7: (20, 99)

(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[ 158, 1 ]
158
-1 2 79 81 158
-2 1 3 80 82
-3 2 4 81 83
-4 3 5 82 84
-5 4 6 83 85
-6 5 7 84 86
-7 6 8 85 87
-8 88 7 9 86
-9 89 8 10 87
-10 11 88 90 9
-11 12 89 91 10
-12 11 13 90 92
-13 12 14 91 93
-14 13 15 92 94
-15 14 16 93 95
-16 15 17 94 96
-17 16 18 95 97
-18 17 19 96 98
-19 99 18 20 97
-20 100 19 21 98
-21 22 99 101 20
-22 23 100 102 21
-23 22 24 101 103
-24 23 25 102 104
-25 24 26 103 105
-26 25 27 104 106
-27 26 28 105 107
-28 27 29 106 108
-29 28 30 107 109
-30 110 29 31 108
-31 111 30 32 109
-32 33 110 112 31
-33 34 111 113 32
-34 33 35 112 114
-35 34 36 113 115
-36 35 37 114 116
-37 36 38 115 117
-38 37 39 116 118
-39 38 40 117 119
-40 39 41 118 120
-41 121 40 42 119
-42 122 41 43 120
-43 44 121 123 42
-44 45 122 124 43
-45 44 46 123 125
-46 45 47 124 126
-47 46 48 125 127
-48 47 49 126 128
-49 48 50 127 129
-50 49 51 128 130
-51 50 52 129 131
-52 132 51 53 130
-53 133 52 54 131
-54 55 132 134 53
-55 56 133 135 54
-56 55 57 134 136
-57 56 58 135 137
-58 57 59 136 138
-59 58 60 137 139
-60 59 61 138 140
-61 60 62 139 141
-62 61 63 140 142
-63 143 62 64 141
-64 144 63 65 142
-65 66 143 145 64
-66 67 144 146 65
-67 66 68 145 147
-68 67 69 146 148
-69 68 70 147 149
-70 69 71 148 150
-71 70 72 149 151
-72 71 73 150 152
-73 72 74 151 153
-74 154 73 75 152
-75 155 74 76 153
-76 77 154 156 75
-77 78 155 157 76
-78 77 79 156 158
-79 1 78 80 157
-80 2 79 81 158
-81 1 3 80 82
-82 2 4 81 83
-83 3 5 82 84
-84 4 6 83 85
-85 5 7 84 86
-86 6 8 85 87
-87 88 7 9 86
-88 89 8 10 87
-89 11 88 90 9
-90 12 89 91 10
-91 11 13 90 92
-92 12 14 91 93
-93 13 15 92 94
-94 14 16 93 95
-95 15 17 94 96
-96 16 18 95 97
-97 17 19 96 98
-98 99 18 20 97
-99 100 19 21 98
-100 22 99 101 20
-101 23 100 102 21
-102 22 24 101 103
-103 23 25 102 104
-104 24 26 103 105
-105 25 27 104 106
-106 26 28 105 107
-107 27 29 106 108
-108 28 30 107 109
-109 110 29 31 108
-110 111 30 32 109
-111 33 110 112 31
-112 34 111 113 32
-113 33 35 112 114
-114 34 36 113 115
-115 35 37 114 116
-116 36 38 115 117
-117 37 39 116 118
-118 38 40 117 119
-119 39 41 118 120
-120 121 40 42 119
-121 122 41 43 120
-122 44 121 123 42
-123 45 122 124 43
-124 44 46 123 125
-125 45 47 124 126
-126 46 48 125 127
-127 47 49 126 128
-128 48 50 127 129
-129 49 51 128 130
-130 50 52 129 131
-131 132 51 53 130
-132 133 52 54 131
-133 55 132 134 53
-134 56 133 135 54
-135 55 57 134 136
-136 56 58 135 137
-137 57 59 136 138
-138 58 60 137 139
-139 59 61 138 140
-140 60 62 139 141
-141 61 63 140 142
-142 143 62 64 141
-143 144 63 65 142
-144 66 143 145 64
-145 67 144 146 65
-146 66 68 145 147
-147 67 69 146 148
-148 68 70 147 149
-149 69 71 148 150
-150 70 72 149 151
-151 71 73 150 152
-152 72 74 151 153
-153 154 73 75 152
-154 155 74 76 153
-155 77 154 156 75
-156 78 155 157 76
-157 77 79 156 158
-158 1 78 80 157
0

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