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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 (42 matches)

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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
2.2.4.12a1.1 $( x^{2} + x + 1 )^{4} + 2 ( x^{2} + x + 1 )^{3} + 2$ $2$ $2$ $4$ $12$ $D_4$ (as 8T4) $2$ $1$ $[2, 2]$ $[1,1]$ $[2, 2]^{2}$ $[1,1]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + t + 1$ $x^{4} + 2 x^{3} + 2$ $[3, 3, 0]$ $[1]$ $z^3 + 1$ $[1, 3, 6]$
2.2.4.12a1.3 $( x^{2} + x + 1 )^{4} + 2 ( x^{2} + x + 1 )^{3} + 6$ $2$ $2$ $4$ $12$ $D_4$ (as 8T4) $2$ $1$ $[2, 2]$ $[1,1]$ $[2, 2]^{2}$ $[1,1]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + t + 1$ $x^{4} + 2 x^{3} + 6$ $[3, 3, 0]$ $[1]$ $z^3 + 1$ $[1, 3, 6]$
2.2.4.16b1.4 $( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 2 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 2$ $2$ $2$ $4$ $16$ $D_4$ (as 8T4) $2$ $1$ $[2, 3]$ $[1,2]$ $[2, 3]^{2}$ $[1,2]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + t + 1$ $x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ $[5, 2, 0]$ $[1, 1]$ $z^2 + 1,z + 1$ $[1, 7, 11]$
2.2.4.16b1.5 $( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 2 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 8 x + 2$ $2$ $2$ $4$ $16$ $D_4$ (as 8T4) $2$ $1$ $[2, 3]$ $[1,2]$ $[2, 3]^{2}$ $[1,2]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + t + 1$ $x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 8 t + 2$ $[5, 2, 0]$ $[1, 1]$ $z^2 + 1,z + 1$ $[1, 7, 11]$
2.2.4.22a1.9 $( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 ) + 2$ $2$ $2$ $4$ $22$ $D_4$ (as 8T4) $2$ $1$ $[3, 4]$ $[2,3]$ $[3, 4]^{2}$ $[2,3]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + t + 1$ $x^{4} + 8 x + 2$ $[8, 4, 0]$ $[1, 1]$ $z^2 + 1,z + 1$ $[1, 3, 7]$
2.2.4.22a1.13 $( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 2$ $2$ $2$ $4$ $22$ $D_4$ (as 8T4) $2$ $1$ $[3, 4]$ $[2,3]$ $[3, 4]^{2}$ $[2,3]^{2}$ $[\ ]$ $[\ ]$ $t^{2} + t + 1$ $x^{4} + 8 x^{3} + 8 x + 2$ $[8, 4, 0]$ $[1, 1]$ $z^2 + 1,z + 1$ $[1, 3, 7]$
2.1.8.22d1.9 $x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 2$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 7, 14, 22]$
2.1.8.22d1.10 $x^{8} + 4 x^{7} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 2$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 7, 14, 22]$
2.1.8.22d1.14 $x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 10$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 10$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 7, 16, 24]$
2.1.8.22d1.15 $x^{8} + 4 x^{7} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 10$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 10$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 7, 16, 24]$
2.1.8.22d1.17 $x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 6$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 6$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 16]$
2.1.8.22d1.18 $x^{8} + 4 x^{7} + 10 x^{4} + 4 x^{2} + 6$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{4} + 4 x^{2} + 6$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 16]$
2.1.8.22d1.22 $x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 14$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 14$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 16]$
2.1.8.22d1.23 $x^{8} + 4 x^{7} + 10 x^{4} + 4 x^{2} + 14$ $2$ $1$ $8$ $22$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[2, 3, \frac{7}{2}]$ $[1,2,\frac{5}{2}]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{4} + 4 x^{2} + 14$ $[15, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 16]$
2.1.8.24c1.9 $x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, 4]$ $[1,2,3]$ $[2, 3, 4]$ $[1,2,3]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $[17, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 11, 19, 27]$
2.1.8.24c1.10 $x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ $2$ $1$ $8$ $24$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, 4]$ $[1,2,3]$ $[2, 3, 4]$ $[1,2,3]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ $[17, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 11, 19, 27]$
2.1.8.24c1.18 $x^{8} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ $2$ $1$ $8$ $24$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, 4]$ $[1,2,3]$ $[2, 3, 4]$ $[1,2,3]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ $[17, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 16, 24]$
2.1.8.24c1.19 $x^{8} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ $2$ $1$ $8$ $24$ $D_4$ (as 8T4) $1$ $1$ $[2, 3, 4]$ $[1,2,3]$ $[2, 3, 4]$ $[1,2,3]$ $[\ ]$ $[\ ]$ $t + 1$ $x^{8} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ $[17, 10, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 16, 24]$
3.2.4.6a1.2 $( x^{2} + 2 x + 2 )^{4} + 3$ $3$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 2 t + 2$ $x^{4} + 3$ $[0]$ $[1]$ $z^3 + z^2 + 1$ $[2]$
7.2.4.6a1.2 $( x^{2} + 6 x + 3 )^{4} + 7$ $7$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 6 t + 3$ $x^{4} + 7$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
11.2.4.6a1.2 $( x^{2} + 7 x + 2 )^{4} + 11$ $11$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 7 t + 2$ $x^{4} + 11$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
19.2.4.6a1.2 $( x^{2} + 18 x + 2 )^{4} + 19$ $19$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 18 t + 2$ $x^{4} + 19$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
23.2.4.6a1.2 $( x^{2} + 21 x + 5 )^{4} + 23$ $23$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 21 t + 5$ $x^{4} + 23$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
31.2.4.6a1.2 $( x^{2} + 29 x + 3 )^{4} + 31$ $31$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 29 t + 3$ $x^{4} + 31$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
43.2.4.6a1.2 $( x^{2} + 42 x + 3 )^{4} + 43$ $43$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 42 t + 3$ $x^{4} + 43$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
47.2.4.6a1.2 $( x^{2} + 45 x + 5 )^{4} + 47$ $47$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 45 t + 5$ $x^{4} + 47$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
59.2.4.6a1.2 $( x^{2} + 58 x + 2 )^{4} + 59$ $59$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 58 t + 2$ $x^{4} + 59$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
67.2.4.6a1.2 $( x^{2} + 63 x + 2 )^{4} + 67$ $67$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 63 t + 2$ $x^{4} + 67$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
71.2.4.6a1.2 $( x^{2} + 69 x + 7 )^{4} + 71$ $71$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 69 t + 7$ $x^{4} + 71$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
79.2.4.6a1.2 $( x^{2} + 78 x + 3 )^{4} + 79$ $79$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 78 t + 3$ $x^{4} + 79$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
83.2.4.6a1.2 $( x^{2} + 82 x + 2 )^{4} + 83$ $83$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 82 t + 2$ $x^{4} + 83$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
103.2.4.6a1.2 $( x^{2} + 102 x + 5 )^{4} + 103$ $103$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 102 t + 5$ $x^{4} + 103$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
107.2.4.6a1.2 $( x^{2} + 103 x + 2 )^{4} + 107$ $107$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 103 t + 2$ $x^{4} + 107$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
127.2.4.6a1.2 $( x^{2} + 126 x + 3 )^{4} + 127$ $127$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 126 t + 3$ $x^{4} + 127$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
131.2.4.6a1.2 $( x^{2} + 127 x + 2 )^{4} + 131$ $131$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 127 t + 2$ $x^{4} + 131$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
139.2.4.6a1.2 $( x^{2} + 138 x + 2 )^{4} + 139$ $139$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 138 t + 2$ $x^{4} + 139$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ 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
163.2.4.6a1.2 $( x^{2} + 159 x + 2 )^{4} + 163$ $163$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 159 t + 2$ $x^{4} + 163$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
167.2.4.6a1.2 $( x^{2} + 166 x + 5 )^{4} + 167$ $167$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 166 t + 5$ $x^{4} + 167$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
179.2.4.6a1.2 $( x^{2} + 172 x + 2 )^{4} + 179$ $179$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 172 t + 2$ $x^{4} + 179$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
191.2.4.6a1.2 $( x^{2} + 190 x + 19 )^{4} + 191$ $191$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 190 t + 19$ $x^{4} + 191$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
199.2.4.6a1.2 $( x^{2} + 193 x + 3 )^{4} + 199$ $199$ $2$ $4$ $6$ $D_4$ (as 8T4) $2$ $4$ $[\ ]$ $[\ ]$ $[\ ]_{4}^{2}$ $[\ ]_{4}^{2}$ $[\ ]$ $[\ ]$ $t^{2} + 193 t + 3$ $x^{4} + 199$ $[0]$ $[1]$ $z^3 + 4 z^2 + 6 z + 4$ undefined
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