Refine search


Results (1-50 of 206 matches)

Next   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
151.1.1.0a1.1 $x + 145$ $151$ $1$ $1$ $0$ Trivial (as 1T1) $1$ $1$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $[\ ]$ $t + 145$ $x - 151$ $[0]$ $[\ ]$ undefined
151.2.1.0a1.1 $x^{2} + 149 x + 6$ $151$ $2$ $1$ $0$ $C_2$ (as 2T1) $2$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{2}$ $[\ ]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x - 151$ $[0]$ $[\ ]$ undefined
151.1.2.1a1.1 $x^{2} + 151$ $151$ $1$ $2$ $1$ $C_2$ (as 2T1) $1$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}$ $[\ ]_{2}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{2} + 151$ $[0]$ $[1]$ $z + 2$ undefined
151.1.2.1a1.2 $x^{2} + 906$ $151$ $1$ $2$ $1$ $C_2$ (as 2T1) $1$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}$ $[\ ]_{2}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{2} + 906$ $[0]$ $[1]$ $z + 2$ undefined
151.3.1.0a1.1 $x^{3} + x + 145$ $151$ $3$ $1$ $0$ $C_3$ (as 3T1) $3$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{3}$ $[\ ]^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x - 151$ $[0]$ $[\ ]$ undefined
151.1.3.2a1.1 $x^{3} + 151$ $151$ $1$ $3$ $2$ $C_3$ (as 3T1) $1$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}$ $[\ ]_{3}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{3} + 151$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.1.3.2a1.2 $x^{3} + 906$ $151$ $1$ $3$ $2$ $C_3$ (as 3T1) $1$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}$ $[\ ]_{3}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{3} + 906$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.1.3.2a1.3 $x^{3} + 5436$ $151$ $1$ $3$ $2$ $C_3$ (as 3T1) $1$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}$ $[\ ]_{3}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{3} + 5436$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.4.1.0a1.1 $x^{4} + 13 x^{2} + 89 x + 6$ $151$ $4$ $1$ $0$ $C_4$ (as 4T1) $4$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{4}$ $[\ ]^{4}$ $[\ ]$ $[\ ]$ $t^{4} + 13 t^{2} + 89 t + 6$ $x - 151$ $[0]$ $[\ ]$ undefined
151.2.2.2a1.1 $( x^{2} + 149 x + 6 )^{2} + 151 x$ $151$ $2$ $2$ $2$ $C_4$ (as 4T1) $2$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{2}$ $[\ ]_{2}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{2} + 151 t$ $[0]$ $[1]$ $z + 2$ undefined
151.2.2.2a1.2 $( x^{2} + 149 x + 6 )^{2} + 151$ $151$ $2$ $2$ $2$ $C_2^2$ (as 4T2) $2$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{2}$ $[\ ]_{2}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{2} + 151$ $[0]$ $[1]$ $z + 2$ undefined
151.1.4.3a1.1 $x^{4} + 151$ $151$ $1$ $4$ $3$ $D_{4}$ (as 4T3) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 145$ $x^{4} + 151$ $[0]$ $[2]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
151.1.4.3a1.2 $x^{4} + 906$ $151$ $1$ $4$ $3$ $D_{4}$ (as 4T3) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 145$ $x^{4} + 906$ $[0]$ $[2]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
151.5.1.0a1.1 $x^{5} + 11 x + 145$ $151$ $5$ $1$ $0$ $C_5$ (as 5T1) $5$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{5}$ $[\ ]^{5}$ $[\ ]$ $[\ ]$ $t^{5} + 11 t + 145$ $x - 151$ $[0]$ $[\ ]$ undefined
151.1.5.4a1.1 $x^{5} + 151$ $151$ $1$ $5$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]$ $[\ ]_{5}$ $[\ ]_{5}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{5} + 151$ $[0]$ $[1]$ $z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ undefined
151.1.5.4a1.2 $x^{5} + 906$ $151$ $1$ $5$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]$ $[\ ]_{5}$ $[\ ]_{5}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{5} + 906$ $[0]$ $[1]$ $z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ undefined
151.1.5.4a1.3 $x^{5} + 5436$ $151$ $1$ $5$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]$ $[\ ]_{5}$ $[\ ]_{5}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{5} + 5436$ $[0]$ $[1]$ $z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ undefined
151.1.5.4a1.4 $x^{5} + 9815$ $151$ $1$ $5$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]$ $[\ ]_{5}$ $[\ ]_{5}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{5} + 9815$ $[0]$ $[1]$ $z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ undefined
151.1.5.4a1.5 $x^{5} + 13288$ $151$ $1$ $5$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]$ $[\ ]_{5}$ $[\ ]_{5}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{5} + 13288$ $[0]$ $[1]$ $z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ undefined
151.6.1.0a1.1 $x^{6} + 125 x^{3} + 18 x^{2} + 15 x + 6$ $151$ $6$ $1$ $0$ $C_6$ (as 6T1) $6$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{6}$ $[\ ]^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 125 t^{3} + 18 t^{2} + 15 t + 6$ $x - 151$ $[0]$ $[\ ]$ undefined
151.3.2.3a1.1 $( x^{3} + x + 145 )^{2} + 151 x$ $151$ $3$ $2$ $3$ $C_6$ (as 6T1) $3$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{3}$ $[\ ]_{2}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x^{2} + 151 t$ $[0]$ $[1]$ $z + 2$ undefined
151.3.2.3a1.2 $( x^{3} + x + 145 )^{2} + 151$ $151$ $3$ $2$ $3$ $C_6$ (as 6T1) $3$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{3}$ $[\ ]_{2}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x^{2} + 151$ $[0]$ $[1]$ $z + 2$ undefined
151.2.3.4a1.1 $( x^{2} + 149 x + 6 )^{3} + 151 x$ $151$ $2$ $3$ $4$ $C_6$ (as 6T1) $2$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{2}$ $[\ ]_{3}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{3} + 151 t$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.2.3.4a1.2 $( x^{2} + 149 x + 6 )^{3} + 151$ $151$ $2$ $3$ $4$ $C_6$ (as 6T1) $2$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{2}$ $[\ ]_{3}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{3} + 151$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.2.3.4a1.3 $( x^{2} + 149 x + 6 )^{3} + 302 x + 21895$ $151$ $2$ $3$ $4$ $C_6$ (as 6T1) $2$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{2}$ $[\ ]_{3}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{3} + 302 t + 21895$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.1.6.5a1.1 $x^{6} + 151$ $151$ $1$ $6$ $5$ $C_6$ (as 6T1) $1$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}$ $[\ ]_{6}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{6} + 151$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.1.6.5a1.2 $x^{6} + 906$ $151$ $1$ $6$ $5$ $C_6$ (as 6T1) $1$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}$ $[\ ]_{6}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{6} + 906$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.1.6.5a1.3 $x^{6} + 5436$ $151$ $1$ $6$ $5$ $C_6$ (as 6T1) $1$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}$ $[\ ]_{6}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{6} + 5436$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.1.6.5a1.4 $x^{6} + 9815$ $151$ $1$ $6$ $5$ $C_6$ (as 6T1) $1$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}$ $[\ ]_{6}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{6} + 9815$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.1.6.5a1.5 $x^{6} + 11325$ $151$ $1$ $6$ $5$ $C_6$ (as 6T1) $1$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}$ $[\ ]_{6}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{6} + 11325$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.1.6.5a1.6 $x^{6} + 13288$ $151$ $1$ $6$ $5$ $C_6$ (as 6T1) $1$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}$ $[\ ]_{6}$ $[\ ]$ $[\ ]$ $t + 145$ $x^{6} + 13288$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.7.1.0a1.1 $x^{7} + 9 x + 145$ $151$ $7$ $1$ $0$ $C_7$ (as 7T1) $7$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{7}$ $[\ ]^{7}$ $[\ ]$ $[\ ]$ $t^{7} + 9 t + 145$ $x - 151$ $[0]$ $[\ ]$ undefined
151.1.7.6a1.1 $x^{7} + 151$ $151$ $1$ $7$ $6$ $C_7:C_3$ (as 7T3) $3$ $7$ $[\ ]$ $[\ ]$ $[\ ]_{7}^{3}$ $[\ ]_{7}^{3}$ $[\ ]^{3}$ $[\ ]^{3}$ $t + 145$ $x^{7} + 151$ $[0]$ $[3]$ $z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ undefined
151.8.1.0a1.1 $x^{8} + 9 x^{4} + 140 x^{3} + 122 x^{2} + 43 x + 6$ $151$ $8$ $1$ $0$ $C_8$ (as 8T1) $8$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{8}$ $[\ ]^{8}$ $[\ ]$ $[\ ]$ $t^{8} + 9 t^{4} + 140 t^{3} + 122 t^{2} + 43 t + 6$ $x - 151$ $[0]$ $[\ ]$ undefined
151.4.2.4a1.1 $( x^{4} + 13 x^{2} + 89 x + 6 )^{2} + 151 x$ $151$ $4$ $2$ $4$ $C_8$ (as 8T1) $4$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{4}$ $[\ ]_{2}^{4}$ $[\ ]$ $[\ ]$ $t^{4} + 13 t^{2} + 89 t + 6$ $x^{2} + 151 t$ $[0]$ $[1]$ $z + 2$ undefined
151.4.2.4a1.2 $( x^{4} + 13 x^{2} + 89 x + 6 )^{2} + 151$ $151$ $4$ $2$ $4$ $C_4\times C_2$ (as 8T2) $4$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{4}$ $[\ ]_{2}^{4}$ $[\ ]$ $[\ ]$ $t^{4} + 13 t^{2} + 89 t + 6$ $x^{2} + 151$ $[0]$ $[1]$ $z + 2$ undefined
151.2.4.6a1.1 $( x^{2} + 149 x + 6 )^{4} + 151 x$ $151$ $2$ $4$ $6$ $C_8:C_2$ (as 8T7) $4$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{4}$ $[\ ]_{4}^{4}$ $[\ ]^{2}$ $[\ ]^{2}$ $t^{2} + 149 t + 6$ $x^{4} + 151 t$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
151.2.4.6a1.2 $( x^{2} + 149 x + 6 )^{4} + 151$ $151$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{4} + 151$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
151.2.4.6a1.3 $( x^{2} + 149 x + 6 )^{4} + 302 x + 21895$ $151$ $2$ $4$ $6$ $Q_8$ (as 8T5) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 149 t + 6$ $x^{4} + 302 t + 21895$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
151.1.8.7a1.1 $x^{8} + 151$ $151$ $1$ $8$ $7$ $D_{8}$ (as 8T6) $2$ $8$ $[\ ]$ $[\ ]$ $[\ ]_{8}^{2}$ $[\ ]_{8}^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 145$ $x^{8} + 151$ $[0]$ $[2]$ $z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ undefined
151.1.8.7a1.2 $x^{8} + 906$ $151$ $1$ $8$ $7$ $D_{8}$ (as 8T6) $2$ $8$ $[\ ]$ $[\ ]$ $[\ ]_{8}^{2}$ $[\ ]_{8}^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 145$ $x^{8} + 906$ $[0]$ $[2]$ $z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ undefined
151.9.1.0a1.1 $x^{9} + 6 x^{3} + 126 x^{2} + 96 x + 145$ $151$ $9$ $1$ $0$ $C_9$ (as 9T1) $9$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{9}$ $[\ ]^{9}$ $[\ ]$ $[\ ]$ $t^{9} + 6 t^{3} + 126 t^{2} + 96 t + 145$ $x - 151$ $[0]$ $[\ ]$ undefined
151.3.3.6a1.1 $( x^{3} + x + 145 )^{3} + 151 x^{2}$ $151$ $3$ $3$ $6$ $C_9$ (as 9T1) $3$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{3}$ $[\ ]_{3}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x^{3} + 151 t^{2}$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.3.3.6a1.2 $( x^{3} + x + 145 )^{3} + 151 x$ $151$ $3$ $3$ $6$ $C_9$ (as 9T1) $3$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{3}$ $[\ ]_{3}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x^{3} + 151 t$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.3.3.6a1.3 $( x^{3} + x + 145 )^{3} + 151$ $151$ $3$ $3$ $6$ $C_3^2$ (as 9T2) $3$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{3}$ $[\ ]_{3}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x^{3} + 151$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.1.9.8a1.1 $x^{9} + 151$ $151$ $1$ $9$ $8$ $C_9:C_3$ (as 9T6) $3$ $9$ $[\ ]$ $[\ ]$ $[\ ]_{9}^{3}$ $[\ ]_{9}^{3}$ $[\ ]^{3}$ $[\ ]^{3}$ $t + 145$ $x^{9} + 151$ $[0]$ $[3]$ $z^8 + 9 z^7 + 36 z^6 + 84 z^5 + 126 z^4 + 126 z^3 + 84 z^2 + 36 z + 9$ undefined
151.1.9.8a1.2 $x^{9} + 906$ $151$ $1$ $9$ $8$ $C_9:C_3$ (as 9T6) $3$ $9$ $[\ ]$ $[\ ]$ $[\ ]_{9}^{3}$ $[\ ]_{9}^{3}$ $[\ ]^{3}$ $[\ ]^{3}$ $t + 145$ $x^{9} + 906$ $[0]$ $[3]$ $z^8 + 9 z^7 + 36 z^6 + 84 z^5 + 126 z^4 + 126 z^3 + 84 z^2 + 36 z + 9$ undefined
151.1.9.8a1.3 $x^{9} + 5436$ $151$ $1$ $9$ $8$ $C_9:C_3$ (as 9T6) $3$ $9$ $[\ ]$ $[\ ]$ $[\ ]_{9}^{3}$ $[\ ]_{9}^{3}$ $[\ ]^{3}$ $[\ ]^{3}$ $t + 145$ $x^{9} + 5436$ $[0]$ $[3]$ $z^8 + 9 z^7 + 36 z^6 + 84 z^5 + 126 z^4 + 126 z^3 + 84 z^2 + 36 z + 9$ undefined
151.10.1.0a1.1 $x^{10} + x^{6} + 21 x^{5} + 104 x^{4} + 49 x^{3} + 20 x^{2} + 142 x + 6$ $151$ $10$ $1$ $0$ $C_{10}$ (as 10T1) $10$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{10}$ $[\ ]^{10}$ $[\ ]$ $[\ ]$ $t^{10} + t^{6} + 21 t^{5} + 104 t^{4} + 49 t^{3} + 20 t^{2} + 142 t + 6$ $x - 151$ $[0]$ $[\ ]$ undefined
151.5.2.5a1.1 $( x^{5} + 11 x + 145 )^{2} + 151 x$ $151$ $5$ $2$ $5$ $C_{10}$ (as 10T1) $5$ $2$ $[\ ]$ $[\ ]$ $[\ ]_{2}^{5}$ $[\ ]_{2}^{5}$ $[\ ]$ $[\ ]$ $t^{5} + 11 t + 145$ $x^{2} + 151 t$ $[0]$ $[1]$ $z + 2$ undefined
Next   displayed columns for results