Graph forms
for C4 [ 180, 50 ] = SDD(L(F30))
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On this page are computer-accessible forms for the graph C4[ 180, 50 ] =
SDD(L(F30)).
(I) Following is a form readable by MAGMA:
g:=Graph<180|{ {82, 127}, {80, 126}, {81, 127}, {73, 121}, {78, 126}, {77, 125},
{74, 122}, {70, 119}, {79, 126}, {77, 124}, {75, 122}, {74, 123}, {72, 121},
{68, 118}, {79, 125}, {78, 124}, {69, 119}, {72, 123}, {64, 116}, {66, 118},
{65, 117}, {64, 117}, {67, 118}, {66, 119}, {75, 125}, {76, 123}, {65, 120},
{67, 120}, {69, 120}, {71, 122}, {71, 121}, {42, 106}, {63, 127}, {53, 117},
{40, 105}, {43, 106}, {41, 106}, {44, 111}, {47, 108}, {34, 103}, {46, 107},
{57, 124}, {32, 102}, {33, 103}, {45, 107}, {55, 113}, {41, 110}, {44, 107},
{55, 112}, {56, 112}, {58, 114}, {57, 112}, {61, 116}, {56, 114}, {59, 113},
{35, 104}, {62, 117}, {38, 109}, {58, 113}, {36, 104}, {63, 115}, {37, 104},
{62, 115}, {51, 126}, {39, 105}, {61, 115}, {60, 114}, {54, 120}, {35, 108},
{59, 116}, {38, 105}, {14, 95}, {37, 116}, {12, 94}, {13, 95}, {46, 125}, {9,
93}, {10, 94}, {47, 123}, {8, 93}, {36, 113}, {11, 94}, {10, 95}, {39, 114},
{45, 122}, {3, 91}, {33, 121}, {5, 93}, {2, 91}, {5, 92}, {54, 111}, {1, 91},
{6, 92}, {52, 110}, {53, 111}, {4, 95}, {7, 92}, {48, 108}, {49, 109}, {1, 92},
{3, 94}, {42, 119}, {51, 110}, {2, 93}, {4, 91}, {50, 109}, {30, 127}, {7, 98},
{6, 96}, {27, 124}, {13, 101}, {8, 97}, {31, 118}, {14, 103}, {9, 99}, {26,
112}, {12, 102}, {15, 98}, {29, 115}, {11, 100}, {15, 96}, {16, 96}, {17, 96},
{18, 99}, {19, 97}, {18, 97}, {22, 98}, {23, 99}, {20, 97}, {21, 98}, {24, 111},
{16, 104}, {29, 101}, {22, 110}, {20, 109}, {31, 102}, {28, 101}, {19, 105},
{24, 99}, {30, 101}, {28, 103}, {23, 107}, {17, 108}, {25, 100}, {26, 100}, {21,
106}, {27, 100}, {25, 102}, {11, 139}, {15, 143}, {48, 176}, {10, 139}, {13,
140}, {8, 138}, {21, 151}, {18, 144}, {15, 141}, {14, 140}, {9, 138}, {50, 177},
{24, 156}, {37, 161}, {46, 170}, {16, 149}, {19, 150}, {8, 142}, {10, 140}, {12,
139}, {33, 166}, {26, 157}, {23, 144}, {47, 168}, {1, 137}, {28, 148}, {25,
145}, {24, 144}, {17, 153}, {7, 143}, {4, 140}, {3, 139}, {2, 138}, {1, 136},
{2, 136}, {27, 145}, {25, 147}, {45, 167}, {3, 136}, {26, 145}, {6, 141}, {4,
136}, {31, 147}, {30, 146}, {5, 137}, {22, 155}, {7, 137}, {28, 146}, {20, 154},
{42, 164}, {5, 138}, {60, 179}, {32, 175}, {29, 146}, {23, 152}, {6, 137}, {34,
178}, {57, 169}, {54, 165}, {63, 172}, {53, 162}, {51, 171}, {9, 144}, {22,
143}, {11, 145}, {59, 161}, {21, 143}, {20, 142}, {14, 148}, {52, 174}, {40,
179}, {17, 141}, {62, 162}, {61, 161}, {18, 142}, {49, 173}, {16, 141}, {61,
160}, {19, 142}, {62, 160}, {12, 147}, {63, 160}, {13, 146}, {43, 180}, {32,
130}, {60, 159}, {57, 157}, {58, 158}, {56, 157}, {59, 158}, {58, 159}, {34,
133}, {56, 159}, {50, 154}, {51, 155}, {48, 153}, {53, 156}, {55, 158}, {54,
156}, {55, 157}, {49, 154}, {43, 135}, {40, 134}, {52, 155}, {37, 149}, {38,
150}, {44, 156}, {36, 149}, {39, 150}, {49, 128}, {27, 169}, {30, 172}, {41,
155}, {32, 147}, {48, 131}, {44, 152}, {33, 148}, {45, 152}, {52, 129}, {34,
148}, {35, 149}, {46, 152}, {47, 153}, {50, 132}, {39, 159}, {35, 153}, {60,
134}, {36, 158}, {31, 163}, {38, 154}, {43, 151}, {29, 160}, {42, 151}, {40,
150}, {41, 151}, {70, 135}, {68, 130}, {73, 133}, {76, 131}, {84, 132}, {80,
129}, {81, 128}, {83, 129}, {86, 132}, {82, 129}, {87, 132}, {83, 128}, {84,
128}, {87, 131}, {86, 130}, {85, 131}, {85, 130}, {89, 133}, {90, 134}, {88,
133}, {90, 135}, {88, 134}, {89, 135}, {67, 163}, {72, 168}, {71, 167}, {69,
165}, {64, 161}, {75, 170}, {71, 166}, {69, 164}, {66, 163}, {64, 162}, {74,
168}, {70, 164}, {65, 162}, {65, 165}, {79, 171}, {77, 169}, {76, 168}, {78,
171}, {85, 176}, {84, 177}, {79, 170}, {66, 164}, {87, 177}, {67, 165}, {68,
163}, {87, 176}, {86, 177}, {78, 169}, {77, 170}, {90, 179}, {88, 178}, {68,
175}, {89, 178}, {88, 179}, {75, 167}, {74, 167}, {89, 180}, {72, 166}, {90,
180}, {73, 166}, {70, 180}, {84, 173}, {86, 175}, {85, 175}, {73, 178}, {80,
171}, {76, 176}, {82, 174}, {81, 173}, {81, 172}, {83, 174}, {80, 174}, {83,
173}, {82, 172} }>;
(II) A more general form is to represent the graph as the orbit of {82, 127}
under the group generated by the following permutations:
a: (97, 142) (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: (122, 167)
c: (119, 164)
d: (2, 5)(3, 7)(4, 6)(10, 15)(11, 21)(12, 22)(13, 17)(14, 16)(23, 24)(25,
41)(26, 43)(27, 42)(28, 35)(29, 47)(30, 48)(31, 51)(32, 52)(33, 37)(34, 36)(39,
40)(45, 53)(46, 54)(49, 50)(55, 89)(56, 90)(57, 70)(58, 88)(59, 73)(61, 72)(62,
74)(63, 76)(64, 71)(65, 75)(66, 78)(67, 79)(68, 80)(69, 77)(81, 87)(82, 85)(83,
86)(91, 92)(94, 98)(95, 96)(100, 106)(101, 108)(102, 110)(103, 104)(107,
111)(112, 135)(113, 133)(114, 134)(115, 123)(116, 121)(117, 122)(118, 126)(119,
124)(120, 125)(127, 131)(128, 132)(129, 130)(136, 137)(139, 143)(140, 141)(145,
151)(146, 153)(147, 155)(148, 149)(152, 156)(157, 180)(158, 178)(159, 179)(160,
168)(161, 166)(162, 167)(163, 171)(164, 169)(165, 170)(172, 176)(173, 177)(174,
175)
e: (123, 168)
f: (92, 137)
g: (113, 158)
h: (134, 179)
m: (101, 146)
n1: (114, 159)
a1: (108, 153)
b1: (94, 139)
c1: (126, 171)
d1: (103, 148)
e1: (100, 145)
f1: (128, 173)
g1: (133, 178)
h1: (96, 141)
m1: (99, 144)
n2: (1, 2)(3, 4)(6, 9, 7, 8)(11, 13, 12, 14)(15, 18)(16, 24, 21, 19)(17, 23, 22,
20)(25, 28)(26, 29, 31, 34)(27, 30, 32, 33)(35, 44, 41, 38)(36, 53, 42, 40)(37,
54, 43, 39)(45, 51, 49, 48)(46, 52, 50, 47)(55, 62, 66, 88)(56, 61, 67, 89)(57,
63, 68, 73)(58, 64, 69, 90)(59, 65, 70, 60)(71, 78, 81, 85)(72, 77, 82, 86)(74,
79, 83, 87)(75, 80, 84, 76)(92, 93)(94, 95)(96, 99, 98, 97)(100, 101, 102,
103)(104, 111, 106, 105)(107, 110, 109, 108)(112, 115, 118, 133)(113, 117, 119,
134)(114, 116, 120, 135)(121, 124, 127, 130)(122, 126, 128, 131)(123, 125, 129,
132)(137, 138)(139, 140)(141, 144, 143, 142)(145, 146, 147, 148)(149, 156, 151,
150)(152, 155, 154, 153)(157, 160, 163, 178)(158, 162, 164, 179)(159, 161, 165,
180)(166, 169, 172, 175)(167, 171, 173, 176)(168, 170, 174, 177)
a2: (3, 4)(6, 7)(11, 14)(12, 13)(16, 21)(17, 22)(25, 28)(26, 34)(27, 33)(29,
31)(30, 32)(35, 41)(36, 43)(37, 42)(39, 40)(45, 46)(47, 51)(48, 52)(49, 50)(53,
54)(55, 89)(56, 88)(57, 73)(58, 90)(59, 70)(61, 66)(62, 67)(63, 68)(64, 69)(71,
77)(72, 78)(74, 79)(76, 80)(81, 86)(82, 85)(83, 87)(94, 95)(96, 98)(100,
103)(101, 102)(104, 106)(108, 110)(112, 133)(113, 135)(114, 134)(115, 118)(116,
119)(117, 120)(121, 124)(122, 125)(123, 126)(127, 130)(128, 132)(129, 131)(139,
140)(141, 143)(145, 148)(146, 147)(149, 151)(153, 155)(157, 178)(158, 180)(159,
179)(160, 163)(161, 164)(162, 165)(166, 169)(167, 170)(168, 171)(172, 175)(173,
177)(174, 176)
b2: (109, 154)
c2: (132, 177)
d2: (98, 143)
e2: (130, 175)
f2: (102, 147)
g2: (111, 156)
h2: (107, 152)
m2: (1, 3, 12, 32, 86, 84, 83, 52, 22, 7)(2, 10, 25, 68, 87, 49, 82, 51, 21,
6)(4, 11, 31, 85, 50, 81, 80, 41, 15, 5)(8, 13, 27, 66, 48, 20, 30, 78, 42,
17)(9, 14, 26, 67, 76, 38, 63, 79, 43, 16)(18, 28, 57, 69, 47, 19, 29, 77, 70,
35)(23, 34, 55, 54, 72, 39, 62, 75, 90, 37)(24, 33, 56, 65, 74, 40, 61, 46, 89,
36)(44, 73, 58, 53, 71, 60, 64, 45, 88, 59)(91, 94, 102, 130, 132, 128, 129,
110, 98, 92)(93, 95, 100, 118, 131, 109, 127, 126, 106, 96)(97, 101, 124, 119,
108)(99, 103, 112, 120, 123, 105, 115, 125, 135, 104)(107, 133, 113, 111, 121,
114, 117, 122, 134, 116)(136, 139, 147, 175, 177, 173, 174, 155, 143, 137)(138,
140, 145, 163, 176, 154, 172, 171, 151, 141)(142, 146, 169, 164, 153)(144, 148,
157, 165, 168, 150, 160, 170, 180, 149)(152, 178, 158, 156, 166, 159, 162, 167,
179, 161)
n3: (118, 163)
a3: (116, 161)
b3: (129, 174)
c3: (124, 169)
d3: (120, 165)
e3: (131, 176)
f3: (91, 136)
g3: (104, 149)
h3: (135, 180)
m3: (106, 151)
n4: (93, 138)
a4: (110, 155)
b4: (112, 157)
c4: (2, 5)(3, 7, 4, 6)(8, 9)(10, 15)(11, 22, 13, 16)(12, 21, 14, 17)(19, 23, 20,
24)(25, 41, 28, 35)(26, 51, 30, 37)(27, 52, 29, 36)(31, 43, 33, 48)(32, 42, 34,
47)(38, 44)(39, 46, 49, 53)(40, 45, 50, 54)(55, 78, 82, 61)(56, 79, 81, 64)(57,
80, 63, 59)(58, 77, 83, 62)(60, 75, 84, 65)(66, 89, 72, 85)(67, 90, 71, 87)(68,
70, 73, 76)(69, 88, 74, 86)(91, 92)(94, 98, 95, 96)(97, 99)(100, 110, 101,
104)(102, 106, 103, 108)(105, 107, 109, 111)(112, 126, 127, 116)(113, 124, 129,
115)(114, 125, 128, 117)(118, 135, 121, 131)(119, 133, 123, 130)(120, 134, 122,
132)(136, 137)(139, 143, 140, 141)(142, 144)(145, 155, 146, 149)(147, 151, 148,
153)(150, 152, 154, 156)(157, 171, 172, 161)(158, 169, 174, 160)(159, 170, 173,
162)(163, 180, 166, 176)(164, 178, 168, 175)(165, 179, 167, 177)
d4: (115, 160)
e4: (121, 166)
f4: (95, 140)
g4: (127, 172)
h4: (125, 170)
C4[ 180, 50 ]
180
-1 91 92 136 137
-2 91 136 93 138
-3 91 136 94 139
-4 91 136 95 140
-5 92 93 137 138
-6 92 137 96 141
-7 143 92 137 98
-8 93 138 97 142
-9 99 144 93 138
-10 94 95 139 140
-11 100 145 94 139
-12 102 147 94 139
-13 101 146 95 140
-14 103 148 95 140
-15 143 96 141 98
-16 104 149 96 141
-17 96 108 141 153
-18 99 144 97 142
-19 105 150 97 142
-20 154 97 109 142
-21 143 106 151 98
-22 110 143 155 98
-23 99 144 107 152
-24 99 111 144 156
-25 100 145 102 147
-26 100 112 145 157
-27 100 145 124 169
-28 101 146 103 148
-29 101 146 115 160
-30 101 146 127 172
-31 102 147 118 163
-32 102 147 130 175
-33 121 166 103 148
-34 133 178 103 148
-35 104 149 108 153
-36 113 158 104 149
-37 104 116 149 161
-38 154 105 150 109
-39 114 159 105 150
-40 134 179 105 150
-41 110 155 106 151
-42 106 151 119 164
-43 135 180 106 151
-44 111 156 107 152
-45 122 167 107 152
-46 125 170 107 152
-47 123 168 108 153
-48 176 108 131 153
-49 154 128 173 109
-50 132 154 177 109
-51 110 155 126 171
-52 110 155 129 174
-53 111 156 117 162
-54 165 111 156 120
-55 112 113 157 158
-56 112 157 114 159
-57 112 124 157 169
-58 113 114 158 159
-59 113 158 116 161
-60 134 179 114 159
-61 115 116 160 161
-62 115 160 117 162
-63 115 127 160 172
-64 116 117 161 162
-65 165 117 162 120
-66 118 119 163 164
-67 165 118 163 120
-68 118 130 163 175
-69 165 119 120 164
-70 135 180 119 164
-71 121 122 166 167
-72 121 166 123 168
-73 121 133 166 178
-74 122 123 167 168
-75 122 167 125 170
-76 176 123 168 131
-77 124 125 169 170
-78 124 169 126 171
-79 125 126 170 171
-80 126 171 129 174
-81 127 128 172 173
-82 127 172 129 174
-83 128 129 173 174
-84 132 177 128 173
-85 176 130 131 175
-86 132 177 130 175
-87 132 176 177 131
-88 133 134 178 179
-89 133 178 135 180
-90 134 135 179 180
-91 1 2 3 4
-92 1 5 6 7
-93 2 5 8 9
-94 11 12 3 10
-95 13 14 4 10
-96 15 16 6 17
-97 18 8 19 20
-98 22 15 7 21
-99 23 24 18 9
-100 11 25 26 27
-101 13 28 29 30
-102 12 25 31 32
-103 33 34 14 28
-104 35 36 37 16
-105 38 39 40 19
-106 41 42 21 43
-107 44 23 45 46
-108 35 47 48 17
-109 38 49 50 20
-110 22 51 41 52
-111 44 24 53 54
-112 55 56 57 26
-113 55 36 58 59
-114 56 58 60 39
-115 61 29 62 63
-116 37 59 61 64
-117 62 53 64 65
-118 66 67 68 31
-119 66 69 70 42
-120 67 69 54 65
-121 33 71 72 73
-122 45 71 74 75
-123 47 72 74 76
-124 77 78 57 27
-125 77 46 79 75
-126 78 79 80 51
-127 81 82 30 63
-128 81 49 83 84
-129 80 82 83 52
-130 68 85 86 32
-131 48 85 76 87
-132 50 84 86 87
-133 88 34 89 73
-134 88 90 60 40
-135 89 90 70 43
-136 1 2 3 4
-137 1 5 6 7
-138 2 5 8 9
-139 11 12 3 10
-140 13 14 4 10
-141 15 16 6 17
-142 18 8 19 20
-143 22 15 7 21
-144 23 24 18 9
-145 11 25 26 27
-146 13 28 29 30
-147 12 25 31 32
-148 33 34 14 28
-149 35 36 37 16
-150 38 39 40 19
-151 41 42 21 43
-152 44 23 45 46
-153 35 47 48 17
-154 38 49 50 20
-155 22 51 41 52
-156 44 24 53 54
-157 55 56 57 26
-158 55 36 58 59
-159 56 58 60 39
-160 61 29 62 63
-161 37 59 61 64
-162 62 53 64 65
-163 66 67 68 31
-164 66 69 70 42
-165 67 69 54 65
-166 33 71 72 73
-167 45 71 74 75
-168 47 72 74 76
-169 77 78 57 27
-170 77 46 79 75
-171 78 79 80 51
-172 81 82 30 63
-173 81 49 83 84
-174 80 82 83 52
-175 68 85 86 32
-176 48 85 76 87
-177 50 84 86 87
-178 88 34 89 73
-179 88 90 60 40
-180 89 90 70 43
0