Graph forms
for C4 [ 168, 61 ] = SDD(L(F28))
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On this page are computer-accessible forms for the graph C4[ 168, 61 ] =
SDD(L(F28)).
(I) Following is a form readable by MAGMA:
g:=Graph<168|{ {84, 125}, {80, 122}, {84, 126}, {81, 123}, {66, 111}, {83, 126},
{64, 110}, {82, 124}, {80, 126}, {65, 111}, {81, 126}, {83, 124}, {82, 125},
{65, 113}, {64, 113}, {72, 121}, {66, 115}, {67, 113}, {68, 118}, {67, 112},
{69, 118}, {68, 112}, {79, 123}, {77, 121}, {76, 120}, {70, 114}, {69, 113},
{70, 115}, {79, 122}, {71, 114}, {78, 120}, {78, 121}, {77, 119}, {72, 115},
{76, 119}, {73, 117}, {74, 118}, {73, 116}, {75, 118}, {71, 121}, {75, 117},
{74, 116}, {32, 96}, {33, 97}, {30, 95}, {35, 98}, {47, 110}, {29, 95}, {58,
120}, {38, 100}, {28, 95}, {34, 97}, {44, 111}, {26, 94}, {39, 99}, {24, 93},
{62, 123}, {38, 99}, {27, 94}, {53, 112}, {33, 103}, {36, 98}, {49, 119}, {25,
94}, {60, 123}, {37, 98}, {43, 108}, {19, 91}, {45, 101}, {46, 102}, {18, 91},
{61, 116}, {21, 92}, {44, 101}, {46, 103}, {47, 102}, {52, 125}, {16, 90}, {23,
93}, {22, 92}, {17, 90}, {35, 104}, {40, 99}, {54, 125}, {48, 124}, {57, 117},
{39, 106}, {41, 100}, {56, 117}, {42, 100}, {43, 101}, {50, 124}, {18, 93}, {36,
107}, {20, 91}, {6, 86}, {63, 111}, {61, 109}, {60, 108}, {42, 122}, {4, 85},
{63, 110}, {58, 107}, {7, 86}, {5, 87}, {32, 114}, {13, 95}, {10, 88}, {40,
122}, {56, 106}, {57, 107}, {5, 86}, {62, 109}, {15, 92}, {11, 88}, {10, 89},
{8, 91}, {1, 85}, {13, 89}, {12, 88}, {9, 93}, {2, 87}, {34, 119}, {15, 90},
{11, 94}, {50, 103}, {3, 85}, {59, 109}, {48, 102}, {49, 103}, {1, 86}, {59,
108}, {14, 89}, {2, 85}, {51, 105}, {3, 88}, {7, 92}, {41, 114}, {51, 104}, {6,
90}, {52, 104}, {53, 105}, {55, 107}, {4, 89}, {37, 120}, {55, 106}, {9, 87},
{45, 115}, {8, 87}, {54, 105}, {30, 116}, {27, 112}, {12, 96}, {14, 97}, {19,
99}, {29, 109}, {21, 101}, {23, 102}, {16, 98}, {26, 105}, {24, 110}, {17, 104},
{25, 96}, {22, 108}, {4, 127}, {31, 100}, {3, 127}, {2, 127}, {28, 97}, {1,
127}, {20, 106}, {31, 96}, {20, 148}, {30, 158}, {24, 152}, {22, 150}, {1, 128},
{27, 154}, {7, 134}, {3, 130}, {6, 132}, {2, 129}, {34, 161}, {17, 146}, {11,
136}, {5, 129}, {13, 137}, {5, 128}, {14, 139}, {6, 128}, {12, 138}, {4, 131},
{37, 162}, {23, 144}, {7, 128}, {9, 129}, {10, 130}, {8, 129}, {26, 147}, {15,
134}, {11, 130}, {10, 131}, {29, 151}, {15, 132}, {40, 164}, {8, 133}, {14,
131}, {9, 135}, {13, 131}, {12, 130}, {42, 164}, {22, 134}, {23, 135}, {49,
161}, {20, 133}, {31, 142}, {25, 136}, {54, 167}, {26, 136}, {21, 134}, {27,
136}, {25, 138}, {52, 167}, {16, 132}, {29, 137}, {50, 166}, {17, 132}, {31,
138}, {28, 137}, {18, 135}, {19, 133}, {48, 166}, {18, 133}, {30, 137}, {28,
139}, {58, 162}, {60, 165}, {21, 143}, {62, 165}, {16, 140}, {19, 141}, {24,
135}, {48, 144}, {49, 145}, {51, 147}, {51, 146}, {45, 143}, {55, 149}, {44,
143}, {61, 158}, {50, 145}, {55, 148}, {42, 142}, {43, 143}, {40, 141}, {54,
147}, {52, 146}, {63, 153}, {57, 159}, {53, 147}, {41, 142}, {63, 152}, {56,
159}, {36, 140}, {38, 142}, {34, 139}, {62, 151}, {37, 140}, {32, 138}, {61,
151}, {60, 150}, {33, 139}, {39, 141}, {38, 141}, {56, 148}, {59, 151}, {57,
149}, {59, 150}, {35, 140}, {58, 149}, {53, 154}, {33, 145}, {45, 157}, {35,
146}, {36, 149}, {39, 148}, {41, 156}, {44, 153}, {47, 152}, {32, 156}, {43,
150}, {46, 144}, {46, 145}, {47, 144}, {74, 158}, {75, 159}, {72, 157}, {73,
159}, {73, 158}, {64, 152}, {67, 155}, {65, 153}, {67, 154}, {65, 155}, {70,
156}, {64, 155}, {71, 156}, {70, 157}, {66, 153}, {68, 154}, {69, 155}, {66,
157}, {68, 160}, {71, 163}, {69, 160}, {74, 160}, {79, 165}, {72, 163}, {79,
164}, {75, 160}, {77, 161}, {78, 162}, {76, 161}, {78, 163}, {76, 162}, {77,
163}, {84, 167}, {80, 164}, {82, 166}, {81, 165}, {82, 167}, {83, 166}, {80,
168}, {81, 168}, {83, 168}, {84, 168} }>;
(II) A more general form is to represent the graph as the orbit of {84, 125}
under the group generated by the following permutations:
a: (97, 139) (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 **************
b: (91, 133)
c: (87, 129)
d: (1, 3, 2, 4)(5, 10)(6, 12, 9, 13)(7, 11, 8, 14)(15, 25, 18, 28)(16, 32, 24,
30)(17, 31, 23, 29)(19, 33, 22, 26)(20, 34, 21, 27)(35, 41, 47, 61)(36, 71, 63,
74)(37, 70, 64, 73)(38, 46, 59, 51)(39, 49, 43, 53)(40, 50, 60, 54)(42, 48, 62,
52)(44, 68, 55, 77)(45, 67, 56, 76)(57, 78, 66, 69)(58, 72, 65, 75)(79, 82)(80,
83, 81, 84)(86, 88, 87, 89)(90, 96, 93, 95)(91, 97, 92, 94)(98, 114, 110,
116)(99, 103, 108, 105)(100, 102, 109, 104)(101, 112, 106, 119)(107, 121, 111,
118)(113, 117, 120, 115)(122, 124, 123, 125)(128, 130, 129, 131)(132, 138, 135,
137)(133, 139, 134, 136)(140, 156, 152, 158)(141, 145, 150, 147)(142, 144, 151,
146)(143, 154, 148, 161)(149, 163, 153, 160)(155, 159, 162, 157)(164, 166, 165,
167)
e: (113, 155)
f: (101, 143)
g: (109, 151)
h: (120, 162)
m: (117, 159)
n1: (108, 150)
a1: (110, 152)
b1: (103, 145)
c1: (1, 2, 5)(3, 8, 6)(4, 9, 7)(10, 18, 15)(11, 19, 16)(12, 20, 17)(13, 23,
21)(14, 24, 22)(25, 39, 35)(26, 38, 36)(27, 40, 37)(28, 47, 43)(29, 46, 44)(30,
48, 45)(31, 55, 51)(32, 56, 52)(33, 63, 59)(34, 64, 60)(41, 57, 54)(42, 58,
53)(49, 65, 62)(50, 66, 61)(67, 79, 76)(68, 80, 78)(69, 81, 77)(70, 73, 82)(71,
75, 84)(72, 74, 83)(85, 87, 86)(88, 91, 90)(89, 93, 92)(94, 99, 98)(95, 102,
101)(96, 106, 104)(97, 110, 108)(100, 107, 105)(103, 111, 109)(112, 122,
120)(113, 123, 119)(114, 117, 125)(115, 116, 124)(118, 126, 121)(127, 129,
128)(130, 133, 132)(131, 135, 134)(136, 141, 140)(137, 144, 143)(138, 148,
146)(139, 152, 150)(142, 149, 147)(145, 153, 151)(154, 164, 162)(155, 165,
161)(156, 159, 167)(157, 158, 166)(160, 168, 163)
d1: (98, 140)
e1: (112, 154)
f1: (111, 153)
g1: (106, 148)
h1: (104, 146)
m1: (124, 166)
n2: (126, 168)
a2: (115, 157)
b2: (96, 138)
c2: (86, 128)
d2: (90, 132)
e2: (121, 163)
f2: (122, 164)
g2: (3, 4)(6, 7)(8, 9)(11, 13)(12, 14)(16, 21)(17, 22)(19, 23)(20, 24)(25,
28)(26, 29)(27, 30)(31, 33)(32, 34)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40,
48)(41, 49)(42, 50)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)(57, 65)(58,
66)(67, 73)(68, 74)(69, 75)(70, 76)(71, 77)(72, 78)(79, 82)(80, 83)(81, 84)(88,
89)(90, 92)(91, 93)(94, 95)(96, 97)(98, 101)(99, 102)(100, 103)(104, 108)(105,
109)(106, 110)(107, 111)(112, 116)(113, 117)(114, 119)(115, 120)(122, 124)(123,
125)(130, 131)(132, 134)(133, 135)(136, 137)(138, 139)(140, 143)(141, 144)(142,
145)(146, 150)(147, 151)(148, 152)(149, 153)(154, 158)(155, 159)(156, 161)(157,
162)(164, 166)(165, 167)
h2: (92, 134)
m2: (123, 165)
n3: (102, 144)
a3: (88, 130)
b3: (119, 161)
c3: (107, 149)
d3: (118, 160)
e3: (85, 127)
f3: (94, 136)
g3: (100, 142)
h3: (125, 167)
m3: (116, 158)
n4: (89, 131)
a4: (114, 156)
b4: (105, 147)
c4: (2, 5)(3, 6)(4, 7)(10, 15)(11, 17)(12, 16)(13, 22)(14, 21)(19, 20)(23,
24)(25, 35)(26, 51)(27, 52)(28, 43)(29, 59)(30, 60)(31, 36)(32, 37)(33, 44)(34,
45)(38, 55)(40, 56)(41, 58)(42, 57)(46, 63)(48, 64)(49, 66)(50, 65)(53, 54)(61,
62)(67, 82)(68, 84)(69, 83)(70, 76)(71, 78)(72, 77)(73, 79)(74, 81)(75, 80)(85,
86)(88, 90)(89, 92)(94, 104)(95, 108)(96, 98)(97, 101)(99, 106)(100, 107)(102,
110)(103, 111)(112, 125)(113, 124)(114, 120)(115, 119)(116, 123)(117, 122)(118,
126)(127, 128)(130, 132)(131, 134)(136, 146)(137, 150)(138, 140)(139, 143)(141,
148)(142, 149)(144, 152)(145, 153)(154, 167)(155, 166)(156, 162)(157, 161)(158,
165)(159, 164)(160, 168)
d4: (93, 135)
e4: (95, 137)
C4[ 168, 61 ]
168
-1 127 128 85 86
-2 127 85 129 87
-3 88 127 85 130
-4 89 127 85 131
-5 128 129 86 87
-6 132 90 128 86
-7 134 92 128 86
-8 133 91 129 87
-9 135 93 129 87
-10 88 89 130 131
-11 88 136 94 130
-12 88 138 96 130
-13 89 137 95 131
-14 89 139 97 131
-15 132 90 134 92
-16 132 90 140 98
-17 132 90 146 104
-18 133 91 135 93
-19 99 133 91 141
-20 133 91 148 106
-21 143 101 134 92
-22 134 92 150 108
-23 144 102 135 93
-24 110 135 93 152
-25 136 94 138 96
-26 136 147 94 105
-27 154 112 136 94
-28 137 95 139 97
-29 137 95 151 109
-30 158 137 116 95
-31 100 138 96 142
-32 156 114 138 96
-33 145 103 139 97
-34 139 161 97 119
-35 146 104 140 98
-36 149 107 140 98
-37 140 162 98 120
-38 99 100 141 142
-39 99 148 106 141
-40 99 122 141 164
-41 100 156 114 142
-42 100 122 142 164
-43 143 101 150 108
-44 143 111 101 153
-45 143 101 157 115
-46 144 145 102 103
-47 110 144 102 152
-48 144 166 102 124
-49 145 103 161 119
-50 166 145 124 103
-51 146 147 104 105
-52 167 146 125 104
-53 154 112 147 105
-54 167 125 147 105
-55 148 149 106 107
-56 148 159 106 117
-57 159 149 117 107
-58 149 107 162 120
-59 150 151 108 109
-60 165 123 150 108
-61 158 116 151 109
-62 165 123 151 109
-63 110 111 152 153
-64 110 155 113 152
-65 111 155 113 153
-66 111 157 115 153
-67 154 155 112 113
-68 154 112 160 118
-69 155 113 160 118
-70 156 157 114 115
-71 121 156 114 163
-72 121 157 115 163
-73 158 159 116 117
-74 158 116 160 118
-75 159 160 117 118
-76 161 162 119 120
-77 121 161 119 163
-78 121 162 163 120
-79 165 122 123 164
-80 122 168 126 164
-81 165 123 168 126
-82 166 167 124 125
-83 166 124 168 126
-84 167 168 125 126
-85 1 2 3 4
-86 1 5 6 7
-87 2 5 8 9
-88 11 12 3 10
-89 13 14 4 10
-90 15 16 6 17
-91 18 8 19 20
-92 22 15 7 21
-93 23 24 18 9
-94 11 25 26 27
-95 13 28 29 30
-96 12 25 31 32
-97 33 34 14 28
-98 35 36 37 16
-99 38 39 40 19
-100 38 41 31 42
-101 44 45 21 43
-102 23 46 47 48
-103 33 46 49 50
-104 35 17 51 52
-105 26 51 53 54
-106 55 56 39 20
-107 55 57 36 58
-108 22 59 60 43
-109 59 61 29 62
-110 24 47 63 64
-111 44 66 63 65
-112 67 68 27 53
-113 67 69 64 65
-114 70 71 41 32
-115 66 45 70 72
-116 61 73 30 74
-117 56 57 73 75
-118 68 69 74 75
-119 77 34 49 76
-120 78 58 37 76
-121 77 78 71 72
-122 79 80 40 42
-123 79 81 60 62
-124 48 82 50 83
-125 82 84 52 54
-126 80 81 83 84
-127 1 2 3 4
-128 1 5 6 7
-129 2 5 8 9
-130 11 12 3 10
-131 13 14 4 10
-132 15 16 6 17
-133 18 8 19 20
-134 22 15 7 21
-135 23 24 18 9
-136 11 25 26 27
-137 13 28 29 30
-138 12 25 31 32
-139 33 34 14 28
-140 35 36 37 16
-141 38 39 40 19
-142 38 41 31 42
-143 44 45 21 43
-144 23 46 47 48
-145 33 46 49 50
-146 35 17 51 52
-147 26 51 53 54
-148 55 56 39 20
-149 55 57 36 58
-150 22 59 60 43
-151 59 61 29 62
-152 24 47 63 64
-153 44 66 63 65
-154 67 68 27 53
-155 67 69 64 65
-156 70 71 41 32
-157 66 45 70 72
-158 61 73 30 74
-159 56 57 73 75
-160 68 69 74 75
-161 77 34 49 76
-162 78 58 37 76
-163 77 78 71 72
-164 79 80 40 42
-165 79 81 60 62
-166 48 82 50 83
-167 82 84 52 54
-168 80 81 83 84
0