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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
2.9.2.18a2.2 $( x^{9} + x^{4} + 1 )^{2} + 2 x ( x^{9} + x^{4} + 1 ) + 4 x^{2} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{3} + 2 t^{2}\right) x + 4 t^{3} + 2$ $[1, 0]$ $[1]$ $z + (t^4 + 1)$ $[1, 3]$
2.9.2.18a3.2 $( x^{9} + x^{4} + 1 )^{2} + 2 x^{3} ( x^{9} + x^{4} + 1 ) + 4 x^{6} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{5} + 2 t^{3} + 2 t + 2\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^6 + t^2)$ $[1, 3]$
2.9.2.18a5.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{4} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 4 x + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{5} + 2 t^{3}\right) x + 4 t^{3} + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^4 + t^3 + 1)$ $[1, 3]$
2.9.2.18a8.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{5} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 4 x^{2} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^6 + t^4 + t^2)$ $[1, 3]$
2.9.2.18a9.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{2}\right) ( x^{9} + x^{4} + 1 ) + 4 x + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^4 + t + 1)$ $[1, 3]$
2.9.2.18a10.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 4 x^{2} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{5} + 2 t^{4} + 2 t^{3}\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^5 + t^4 + t^2 + 1)$ $[1, 3]$
2.9.2.18a12.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^2 + t)$ $[1, 3]$
2.9.2.18a12.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{6} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^2 + t)$ $[1, 3]$
2.9.2.18a13.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{2} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{5} + 2 t^{2}\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^3 + t)$ $[1, 3]$
2.9.2.18a13.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{2} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{5} + 2 t^{3} + 2 t\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^3 + t)$ $[1, 3]$
2.9.2.18a14.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{5} + 2 t^{3} + 2 t^{2} + 2 t\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^6 + t^5 + t^3 + t^2)$ $[1, 3]$
2.9.2.18a15.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^5 + t^4)$ $[1, 3]$
2.9.2.18a16.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x^{3} + 2 x^{2}\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{4} + 2 t^{2} + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a16.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x^{3} + 2 x^{2}\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{4} + 2 t^{2} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a20.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{4} + 2 t^{3} + 2 t + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^5 + t^4 + t^3 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a20.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{5} + 2 t\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^5 + t^4 + t^3 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a22.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{5} + 2 x^{4} + 2 x^{2}\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{3} + 2\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^6 + t^4 + t^3)$ $[1, 3]$
2.9.2.18a23.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{2} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{2} + 2 t\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^6 + t^5)$ $[1, 3]$
2.9.2.18a24.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^2 + t)$ $[1, 3]$
2.9.2.18a24.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{5} + 2 t + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^2 + t)$ $[1, 3]$
2.9.2.18a25.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{5} + 2 t^{3} + 2\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^7 + t^3 + t^2 + t)$ $[1, 3]$
2.9.2.18a26.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{3} + 2 t + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^4 + t)$ $[1, 3]$
2.9.2.18a26.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{5} + 2 t^{4}\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^4 + t)$ $[1, 3]$
2.9.2.18a27.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{5} + 2 t^{2} + 2 t + 2\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^4 + t^3 + t)$ $[1, 3]$
2.9.2.18a28.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{4}\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{5} + 2 t^{2} + 2 t + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^6 + t^3 + t^2)$ $[1, 3]$
2.9.2.18a28.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{4}\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{6} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^6 + t^3 + t^2)$ $[1, 3]$
2.9.2.18a29.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{4} + 2 x^{2} + 2\right) ( x^{9} + x^{4} + 1 ) + 4 x^{3} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{2} + 2 t\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^5 + t^3 + t^2 + t)$ $[1, 3]$
2.9.2.18a31.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{6} + 2 t^{4} + 2 t^{3} + 2 t^{2}\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^7 + t^5 + t^4 + t)$ $[1, 3]$
2.9.2.18a31.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{5} + 2 t^{3} + 2 t^{2} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^7 + t^5 + t^4 + t)$ $[1, 3]$
2.9.2.18a32.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{5} + 2 x^{4}\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{4} + 2 t^{3} + 2 t + 2\right) x + 4 t^{4} + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^4 + t^3 + t^2)$ $[1, 3]$
2.9.2.18a33.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{5} + 2 x^{4} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 4 x^{2} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^4 + t^3)$ $[1, 3]$
2.9.2.18a34.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{5} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{5} + 2 t^{4} + 2 t\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^5 + t^3 + t + 1)$ $[1, 3]$
2.9.2.18a35.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{2} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{5} + 2 t^{3} + 2 t + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^2 + t)$ $[1, 3]$
2.9.2.18a35.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{2} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{5} + 2 t^{3} + 2 t + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^2 + t)$ $[1, 3]$
2.9.2.18a38.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{4} + 2 t^{3} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^5 + t^4 + t^3 + 1)$ $[1, 3]$
2.9.2.18a38.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{4} + 2 t^{2} + 2 t + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^5 + t^4 + t^3 + 1)$ $[1, 3]$
2.9.2.18a39.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 4 x^{4} + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t + 2\right) x + 4 t^{2} + 2$ $[1, 0]$ $[1]$ $z + (t^5 + t^3)$ $[1, 3]$
2.9.2.18a42.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{5} + 2 t^{3} + 2 t\right) x + 4 t + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^5 + t^4)$ $[1, 3]$
2.9.2.18a43.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{6} + 2 t^{2} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^4 + t)$ $[1, 3]$
2.9.2.18a43.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{3} + 2 t\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^8 + t^7 + t^4 + t)$ $[1, 3]$
2.9.2.18a44.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{5} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^6 + t^3 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a44.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^6 + t^3 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a45.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $18$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2]^{18}$ $[1,1,1,1,1,1,1,1]^{18}$ $[2,2,2,2,2,2,2]^{2}$ $[1,1,1,1,1,1,1]^{2}$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{6} + 2 t^{4}\right) x + 4 t^{4} + 2$ $[1, 0]$ $[1]$ $z + (t^5 + t^3 + 1)$ $[1, 3]$
2.9.2.18a46.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{3}\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{6} + 2 t^{3}\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^5 + t)$ $[1, 3]$
2.9.2.18a46.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{3}\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{8} + 2 t^{7} + 2 t^{3}\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^5 + t)$ $[1, 3]$
2.9.2.18a47.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{2} + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^5 + t^4 + t + 1)$ $[1, 3]$
2.9.2.18a47.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{3} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^7 + t^6 + t^5 + t^4 + t + 1)$ $[1, 3]$
2.9.2.18a48.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{5} + 2 t^{2} + 2\right) x + 6$ $[1, 0]$ $[1]$ $z + (t^5 + t^4 + t^3 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a48.2 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x\right) ( x^{9} + x^{4} + 1 ) + 6$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{6} + 2 t^{5} + 2 t^{4} + 2 t^{2} + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^5 + t^4 + t^3 + t^2 + t + 1)$ $[1, 3]$
2.9.2.18a49.1 $( x^{9} + x^{4} + 1 )^{2} + \left(2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{3} + 2\right) ( x^{9} + x^{4} + 1 ) + 2$ $2$ $9$ $2$ $18$ $C_2\wr C_9$ (as 18T460) $9$ $1$ $[2]$ $[1]$ $[2, 2, 2, 2, 2, 2, 2, 2, 2]^{9}$ $[1,1,1,1,1,1,1,1,1]^{9}$ $[2,2,2,2,2,2,2,2]$ $[1,1,1,1,1,1,1,1]$ $t^{9} + t^{4} + 1$ $x^{2} + \left(2 t^{7} + 2 t^{6} + 2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x + 2$ $[1, 0]$ $[1]$ $z + (t^8 + t^6 + t^5 + t^3 + t)$ $[1, 3]$
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