Graph forms
for C4 [ 196, 1 ] = W(98,2)
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On this page are computer-accessible forms for the graph C4[ 196, 1 ] =
W(98,2).
(I) Following is a form readable by MAGMA:
g:=Graph<196|{ {2, 3}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186,
187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175},
{172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160,
161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149},
{146, 147}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56,
57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {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}, {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}, {1, 2}, {193, 194}, {189,
190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166},
{161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {65, 66}, {61, 62},
{57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14},
{17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {69, 70}, {73, 74},
{77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105,
106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130},
{133, 134}, {137, 138}, {141, 142}, {3, 4}, {195, 196}, {187, 188}, {179, 180},
{171, 172}, {163, 164}, {155, 156}, {147, 148}, {67, 68}, {59, 60}, {51, 52},
{43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92},
{99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {7, 8},
{183, 184}, {167, 168}, {151, 152}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87,
88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {175, 176}, {47, 48}, {79,
80}, {111, 112}, {143, 144}, {31, 32}, {159, 160}, {95, 96}, {2, 99}, {4, 101},
{6, 103}, {8, 105}, {10, 107}, {12, 109}, {14, 111}, {16, 113}, {18, 115}, {20,
117}, {22, 119}, {24, 121}, {26, 123}, {28, 125}, {30, 127}, {1, 98}, {4, 103},
{5, 102}, {8, 107}, {9, 106}, {12, 111}, {13, 110}, {16, 115}, {17, 114}, {20,
119}, {21, 118}, {24, 123}, {25, 122}, {28, 127}, {29, 126}, {1, 100}, {3, 102},
{9, 108}, {11, 110}, {17, 116}, {19, 118}, {25, 124}, {27, 126}, {2, 101}, {3,
100}, {10, 109}, {11, 108}, {18, 117}, {19, 116}, {26, 125}, {27, 124}, {5,
104}, {7, 106}, {21, 120}, {23, 122}, {6, 105}, {7, 104}, {22, 121}, {23, 120},
{13, 112}, {15, 114}, {14, 113}, {191, 192}, {63, 64}, {15, 112}, {29, 128},
{63, 162}, {61, 160}, {31, 130}, {93, 192}, {95, 194}, {30, 129}, {63, 160},
{62, 161}, {31, 128}, {94, 193}, {95, 192}, {32, 129}, {62, 159}, {60, 157},
{58, 155}, {56, 153}, {54, 151}, {52, 149}, {50, 147}, {48, 145}, {46, 143},
{44, 141}, {42, 139}, {34, 131}, {36, 133}, {38, 135}, {40, 137}, {96, 193},
{98, 195}, {32, 131}, {61, 158}, {60, 159}, {57, 154}, {56, 155}, {53, 150},
{52, 151}, {49, 146}, {48, 147}, {45, 142}, {44, 143}, {41, 138}, {33, 130},
{36, 135}, {37, 134}, {40, 139}, {96, 195}, {97, 194}, {33, 132}, {59, 158},
{57, 156}, {51, 150}, {49, 148}, {43, 142}, {41, 140}, {35, 134}, {97, 196},
{34, 133}, {59, 156}, {58, 157}, {51, 148}, {50, 149}, {43, 140}, {42, 141},
{35, 132}, {99, 196}, {37, 136}, {55, 154}, {53, 152}, {39, 138}, {38, 137},
{55, 152}, {54, 153}, {39, 136}, {45, 144}, {47, 146}, {46, 145}, {47, 144}, {1,
196}, {64, 161}, {68, 165}, {66, 163}, {70, 167}, {72, 169}, {74, 171}, {76,
173}, {78, 175}, {80, 177}, {82, 179}, {84, 181}, {86, 183}, {88, 185}, {90,
187}, {92, 189}, {94, 191}, {64, 163}, {65, 162}, {68, 167}, {69, 166}, {72,
171}, {73, 170}, {76, 175}, {77, 174}, {80, 179}, {81, 178}, {84, 183}, {85,
182}, {88, 187}, {89, 186}, {92, 191}, {93, 190}, {65, 164}, {67, 166}, {73,
172}, {75, 174}, {81, 180}, {83, 182}, {89, 188}, {91, 190}, {66, 165}, {67,
164}, {74, 173}, {75, 172}, {82, 181}, {83, 180}, {90, 189}, {91, 188}, {69,
168}, {71, 170}, {85, 184}, {87, 186}, {70, 169}, {71, 168}, {86, 185}, {87,
184}, {77, 176}, {79, 178}, {78, 177}, {79, 176}, {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: (49, 147) (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: (2, 98)(3, 97)(4, 96)(5, 95)(6, 94)(7, 93)(8, 92)(9, 91)(10, 90)(11, 89)(12,
88)(13, 87)(14, 86)(15, 85)(16, 84)(17, 83)(18, 82)(19, 81)(20, 80)(21, 79)(22,
78)(23, 77)(24, 76)(25, 75)(26, 74)(27, 73)(28, 72)(29, 71)(30, 70)(31, 69)(32,
68)(33, 67)(34, 66)(35, 65)(36, 64)(37, 63)(38, 62)(39, 61)(40, 60)(41, 59)(42,
58)(43, 57)(44, 56)(45, 55)(46, 54)(47, 53)(48, 52)(49, 51)(100, 196)(101,
195)(102, 194)(103, 193)(104, 192)(105, 191)(106, 190)(107, 189)(108, 188)(109,
187)(110, 186)(111, 185)(112, 184)(113, 183)(114, 182)(115, 181)(116, 180)(117,
179)(118, 178)(119, 177)(120, 176)(121, 175)(122, 174)(123, 173)(124, 172)(125,
171)(126, 170)(127, 169)(128, 168)(129, 167)(130, 166)(131, 165)(132, 164)(133,
163)(134, 162)(135, 161)(136, 160)(137, 159)(138, 158)(139, 157)(140, 156)(141,
155)(142, 154)(143, 153)(144, 152)(145, 151)(146, 150)(147, 149)
c: (38, 136)
d: (25, 123)
e: (36, 134)
f: (33, 131)
g: (70, 168)
h: (89, 187)
m: (52, 150)
n1: (30, 128)
a1: (15, 113)
b1: (50, 148)
c1: (44, 142)
d1: (90, 188)
e1: (6, 104)
f1: (65, 163)
g1: (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, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196)
h1: (91, 189)
m1: (93, 191)
n2: (37, 135)
a2: (94, 192)
b2: (97, 195)
c2: (86, 184)
d2: (72, 170)
e2: (41, 139)
f2: (67, 165)
g2: (77, 175)
h2: (18, 116)
m2: (47, 145)
n3: (92, 190)
a3: (5, 103)
b3: (69, 167)
c3: (82, 180)
d3: (12, 110)
e3: (28, 126)
f3: (3, 101)
g3: (53, 151)
h3: (19, 117)
m3: (9, 107)
n4: (75, 173)
a4: (98, 196)
b4: (31, 129)
c4: (74, 172)
d4: (58, 156)
e4: (8, 106)
f4: (57, 155)
g4: (24, 122)
h4: (59, 157)
m4: (42, 140)
n5: (46, 144)
a5: (2, 100)
b5: (83, 181)
c5: (54, 152)
d5: (81, 179)
e5: (51, 149)
f5: (11, 109)
g5: (96, 194)
h5: (66, 164)
m5: (40, 138)
n6: (76, 174)
a6: (45, 143)
b6: (13, 111)
c6: (16, 114)
d6: (27, 125)
e6: (62, 160)
f6: (73, 171)
g6: (56, 154)
h6: (71, 169)
m6: (63, 161)
n7: (32, 130)
a7: (68, 166)
b7: (85, 183)
c7: (29, 127)
d7: (22, 120)
e7: (17, 115)
f7: (39, 137)
g7: (34, 132)
h7: (4, 102)
m7: (88, 186)
n8: (60, 158)
a8: (20, 118)
b8: (79, 177)
c8: (10, 108)
d8: (14, 112)
e8: (55, 153)
f8: (21, 119)
g8: (95, 193)
h8: (64, 162)
m8: (84, 182)
n9: (78, 176)
a9: (26, 124)
b9: (35, 133)
c9: (23, 121)
d9: (87, 185)
e9: (80, 178)
f9: (61, 159)
g9: (7, 105)
h9: (43, 141)
C4[ 196, 1 ]
196
-1 100 2 196 98
-2 99 1 101 3
-3 100 2 102 4
-4 101 3 103 5
-5 102 4 104 6
-6 103 5 105 7
-7 104 6 106 8
-8 105 7 107 9
-9 106 8 108 10
-10 11 107 9 109
-11 110 12 108 10
-12 11 111 13 109
-13 110 12 112 14
-14 111 13 113 15
-15 112 14 114 16
-16 113 15 115 17
-17 114 16 116 18
-18 115 17 117 19
-19 116 18 118 20
-20 117 19 119 21
-21 22 118 20 120
-22 121 23 119 21
-23 22 122 24 120
-24 121 23 123 25
-25 122 24 124 26
-26 123 25 125 27
-27 124 26 126 28
-28 125 27 127 29
-29 126 28 128 30
-30 127 29 129 31
-31 128 30 130 32
-32 33 129 31 131
-33 132 34 130 32
-34 33 133 35 131
-35 132 34 134 36
-36 133 35 135 37
-37 134 36 136 38
-38 135 37 137 39
-39 136 38 138 40
-40 137 39 139 41
-41 138 40 140 42
-42 139 41 141 43
-43 44 140 42 142
-44 143 45 141 43
-45 44 144 46 142
-46 143 45 145 47
-47 144 46 146 48
-48 145 47 147 49
-49 146 48 148 50
-50 147 49 149 51
-51 148 50 150 52
-52 149 51 151 53
-53 150 52 152 54
-54 55 151 53 153
-55 154 56 152 54
-56 55 155 57 153
-57 154 56 156 58
-58 155 57 157 59
-59 156 58 158 60
-60 157 59 159 61
-61 158 60 160 62
-62 159 61 161 63
-63 160 62 162 64
-64 161 63 163 65
-65 66 162 64 164
-66 165 67 163 65
-67 66 166 68 164
-68 165 67 167 69
-69 166 68 168 70
-70 167 69 169 71
-71 168 70 170 72
-72 169 71 171 73
-73 170 72 172 74
-74 171 73 173 75
-75 172 74 174 76
-76 77 173 75 175
-77 176 78 174 76
-78 77 177 79 175
-79 176 78 178 80
-80 177 79 179 81
-81 178 80 180 82
-82 179 81 181 83
-83 180 82 182 84
-84 181 83 183 85
-85 182 84 184 86
-86 183 85 185 87
-87 88 184 86 186
-88 187 89 185 87
-89 88 188 90 186
-90 187 89 189 91
-91 188 90 190 92
-92 189 91 191 93
-93 190 92 192 94
-94 191 93 193 95
-95 192 94 194 96
-96 193 95 195 97
-97 194 96 196 98
-98 99 1 195 97
-99 100 2 196 98
-100 99 1 101 3
-101 100 2 102 4
-102 101 3 103 5
-103 102 4 104 6
-104 103 5 105 7
-105 104 6 106 8
-106 105 7 107 9
-107 106 8 108 10
-108 11 107 9 109
-109 110 12 108 10
-110 11 111 13 109
-111 110 12 112 14
-112 111 13 113 15
-113 112 14 114 16
-114 113 15 115 17
-115 114 16 116 18
-116 115 17 117 19
-117 116 18 118 20
-118 117 19 119 21
-119 22 118 20 120
-120 121 23 119 21
-121 22 122 24 120
-122 121 23 123 25
-123 122 24 124 26
-124 123 25 125 27
-125 124 26 126 28
-126 125 27 127 29
-127 126 28 128 30
-128 127 29 129 31
-129 128 30 130 32
-130 33 129 31 131
-131 132 34 130 32
-132 33 133 35 131
-133 132 34 134 36
-134 133 35 135 37
-135 134 36 136 38
-136 135 37 137 39
-137 136 38 138 40
-138 137 39 139 41
-139 138 40 140 42
-140 139 41 141 43
-141 44 140 42 142
-142 143 45 141 43
-143 44 144 46 142
-144 143 45 145 47
-145 144 46 146 48
-146 145 47 147 49
-147 146 48 148 50
-148 147 49 149 51
-149 148 50 150 52
-150 149 51 151 53
-151 150 52 152 54
-152 55 151 53 153
-153 154 56 152 54
-154 55 155 57 153
-155 154 56 156 58
-156 155 57 157 59
-157 156 58 158 60
-158 157 59 159 61
-159 158 60 160 62
-160 159 61 161 63
-161 160 62 162 64
-162 161 63 163 65
-163 66 162 64 164
-164 165 67 163 65
-165 66 166 68 164
-166 165 67 167 69
-167 166 68 168 70
-168 167 69 169 71
-169 168 70 170 72
-170 169 71 171 73
-171 170 72 172 74
-172 171 73 173 75
-173 172 74 174 76
-174 77 173 75 175
-175 176 78 174 76
-176 77 177 79 175
-177 176 78 178 80
-178 177 79 179 81
-179 178 80 180 82
-180 179 81 181 83
-181 180 82 182 84
-182 181 83 183 85
-183 182 84 184 86
-184 183 85 185 87
-185 88 184 86 186
-186 187 89 185 87
-187 88 188 90 186
-188 187 89 189 91
-189 188 90 190 92
-190 189 91 191 93
-191 190 92 192 94
-192 191 93 193 95
-193 192 94 194 96
-194 193 95 195 97
-195 194 96 196 98
-196 99 1 195 97
0