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Note: Search results may be incomplete due to uncomputed quantities: galois_label (239087 objects)

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Degree $n$ Residue characteristic $p$ Discriminant exponent $c$ Galois group
Ramification index $e$ Residue field degree $f$ Galois tame degree $t$ Galois unram. degree $u$
Num. automorphisms Inertia subgroup Indices Assoc. Inertia Jump Set
Top Artin slope Galois Artin Visible Artin Wild inertia subgroup
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Results (46 matches)

  displayed columns for results
Label Polynomial $p$ $f$ $e$ $c$ Galois group $u$ $t$ Visible Artin slopes Visible Swan slopes Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
2.1.1.0a1.1 $x + 1$ $2$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 1$ $x - 2$ $[0]$ $[\ ]$ $[1]$
3.1.1.0a1.1 $x + 1$ $3$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 1$ $x - 3$ $[0]$ $[\ ]$ undefined
5.1.1.0a1.1 $x + 3$ $5$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 3$ $x - 5$ $[0]$ $[\ ]$ undefined
7.1.1.0a1.1 $x + 4$ $7$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 4$ $x - 7$ $[0]$ $[\ ]$ undefined
11.1.1.0a1.1 $x + 9$ $11$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 9$ $x - 11$ $[0]$ $[\ ]$ undefined
13.1.1.0a1.1 $x + 11$ $13$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 11$ $x - 13$ $[0]$ $[\ ]$ undefined
17.1.1.0a1.1 $x + 14$ $17$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 14$ $x - 17$ $[0]$ $[\ ]$ undefined
19.1.1.0a1.1 $x + 17$ $19$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 17$ $x - 19$ $[0]$ $[\ ]$ undefined
23.1.1.0a1.1 $x + 18$ $23$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 18$ $x - 23$ $[0]$ $[\ ]$ undefined
29.1.1.0a1.1 $x + 27$ $29$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 27$ $x - 29$ $[0]$ $[\ ]$ undefined
31.1.1.0a1.1 $x + 28$ $31$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 28$ $x - 31$ $[0]$ $[\ ]$ undefined
37.1.1.0a1.1 $x + 35$ $37$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 35$ $x - 37$ $[0]$ $[\ ]$ undefined
41.1.1.0a1.1 $x + 35$ $41$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 35$ $x - 41$ $[0]$ $[\ ]$ undefined
43.1.1.0a1.1 $x + 40$ $43$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 40$ $x - 43$ $[0]$ $[\ ]$ undefined
47.1.1.0a1.1 $x + 42$ $47$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 42$ $x - 47$ $[0]$ $[\ ]$ undefined
53.1.1.0a1.1 $x + 51$ $53$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 51$ $x - 53$ $[0]$ $[\ ]$ undefined
59.1.1.0a1.1 $x + 57$ $59$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 57$ $x - 59$ $[0]$ $[\ ]$ undefined
61.1.1.0a1.1 $x + 59$ $61$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 59$ $x - 61$ $[0]$ $[\ ]$ undefined
67.1.1.0a1.1 $x + 65$ $67$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 65$ $x - 67$ $[0]$ $[\ ]$ undefined
71.1.1.0a1.1 $x + 64$ $71$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 64$ $x - 71$ $[0]$ $[\ ]$ undefined
73.1.1.0a1.1 $x + 68$ $73$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 68$ $x - 73$ $[0]$ $[\ ]$ undefined
79.1.1.0a1.1 $x + 76$ $79$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 76$ $x - 79$ $[0]$ $[\ ]$ undefined
83.1.1.0a1.1 $x + 81$ $83$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 81$ $x - 83$ $[0]$ $[\ ]$ undefined
89.1.1.0a1.1 $x + 86$ $89$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 86$ $x - 89$ $[0]$ $[\ ]$ undefined
97.1.1.0a1.1 $x + 92$ $97$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 92$ $x - 97$ $[0]$ $[\ ]$ undefined
101.1.1.0a1.1 $x + 99$ $101$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 99$ $x - 101$ $[0]$ $[\ ]$ undefined
103.1.1.0a1.1 $x + 98$ $103$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 98$ $x - 103$ $[0]$ $[\ ]$ undefined
107.1.1.0a1.1 $x + 105$ $107$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 105$ $x - 107$ $[0]$ $[\ ]$ undefined
109.1.1.0a1.1 $x + 103$ $109$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 103$ $x - 109$ $[0]$ $[\ ]$ undefined
113.1.1.0a1.1 $x + 110$ $113$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 110$ $x - 113$ $[0]$ $[\ ]$ undefined
127.1.1.0a1.1 $x + 124$ $127$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 124$ $x - 127$ $[0]$ $[\ ]$ undefined
131.1.1.0a1.1 $x + 129$ $131$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 129$ $x - 131$ $[0]$ $[\ ]$ undefined
137.1.1.0a1.1 $x + 134$ $137$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 134$ $x - 137$ $[0]$ $[\ ]$ undefined
139.1.1.0a1.1 $x + 137$ $139$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 137$ $x - 139$ $[0]$ $[\ ]$ undefined
149.1.1.0a1.1 $x + 147$ $149$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 147$ $x - 149$ $[0]$ $[\ ]$ undefined
151.1.1.0a1.1 $x + 145$ $151$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 145$ $x - 151$ $[0]$ $[\ ]$ undefined
157.1.1.0a1.1 $x + 152$ $157$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 152$ $x - 157$ $[0]$ $[\ ]$ undefined
163.1.1.0a1.1 $x + 161$ $163$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 161$ $x - 163$ $[0]$ $[\ ]$ undefined
167.1.1.0a1.1 $x + 162$ $167$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 162$ $x - 167$ $[0]$ $[\ ]$ undefined
173.1.1.0a1.1 $x + 171$ $173$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 171$ $x - 173$ $[0]$ $[\ ]$ undefined
179.1.1.0a1.1 $x + 177$ $179$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 177$ $x - 179$ $[0]$ $[\ ]$ undefined
181.1.1.0a1.1 $x + 179$ $181$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 179$ $x - 181$ $[0]$ $[\ ]$ undefined
191.1.1.0a1.1 $x + 172$ $191$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 172$ $x - 191$ $[0]$ $[\ ]$ undefined
193.1.1.0a1.1 $x + 188$ $193$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 188$ $x - 193$ $[0]$ $[\ ]$ undefined
197.1.1.0a1.1 $x + 195$ $197$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 195$ $x - 197$ $[0]$ $[\ ]$ undefined
199.1.1.0a1.1 $x + 196$ $199$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 196$ $x - 199$ $[0]$ $[\ ]$ undefined
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