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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
3.6.3.24a2.1 $( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{2} + 3$ $3$ $6$ $3$ $24$ $C_6 \times C_3$ (as 18T2) $6$ $1$ $[2]$ $[1]$ $[2]^{6}$ $[1]^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ $x^{3} + 6 x^{2} + 3$ $[2, 0]$ $[1]$ $z^2 + 2$ undefined
3.3.6.27a1.43 $( x^{3} + 2 x + 1 )^{6} + 6 ( x^{3} + 2 x + 1 )^{4} + 3$ $3$ $3$ $6$ $27$ $C_6 \times C_3$ (as 18T2) $3$ $2$ $[2]$ $[1]$ $[2]_{2}^{3}$ $[1]_{2}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 1$ $x^{6} + 6 x^{4} + 3$ $[4, 0]$ $[1, 1]$ $z^3 + 2,2 z^2 + 1$ $[1, 3]$
3.3.6.27a12.1 $( x^{3} + 2 x + 1 )^{6} + \left(6 x + 6\right) ( x^{3} + 2 x + 1 )^{4} + 3 ( x^{3} + 2 x + 1 ) + 3 x$ $3$ $3$ $6$ $27$ $C_6 \times C_3$ (as 18T2) $3$ $2$ $[2]$ $[1]$ $[2]_{2}^{3}$ $[1]_{2}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 1$ $x^{6} + \left(6 t + 6\right) x^{4} + 3 t$ $[4, 0]$ $[1, 1]$ $z^3 + 2,2 z^2 + (2 t^2 + 2)$ undefined
7.6.3.12a1.3 $( x^{6} + x^{4} + 5 x^{3} + 4 x^{2} + 6 x + 3 )^{3} + 7$ $7$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + t^{4} + 5 t^{3} + 4 t^{2} + 6 t + 3$ $x^{3} + 7$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
7.3.6.15a1.3 $( x^{3} + 6 x^{2} + 4 )^{6} + 7$ $7$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t^{2} + 4$ $x^{6} + 7$ $[0]$ $[1]$ $z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ $[1]$
7.3.6.15a1.4 $( x^{3} + 6 x^{2} + 4 )^{6} + 7 x^{2} + 21$ $7$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t^{2} + 4$ $x^{6} + 7 t^{2} + 21$ $[0]$ $[1]$ $z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ undefined
13.6.3.12a1.3 $( x^{6} + 10 x^{3} + 11 x^{2} + 11 x + 2 )^{3} + 13$ $13$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 10 t^{3} + 11 t^{2} + 11 t + 2$ $x^{3} + 13$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
13.3.6.15a1.4 $( x^{3} + 2 x + 11 )^{6} + 13$ $13$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 11$ $x^{6} + 13$ $[0]$ $[1]$ $z^5 + 6 z^4 + 2 z^3 + 7 z^2 + 2 z + 6$ undefined
13.3.6.15a1.5 $( x^{3} + 2 x + 11 )^{6} + 143 x + 26$ $13$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 11$ $x^{6} + 143 t + 26$ $[0]$ $[1]$ $z^5 + 6 z^4 + 2 z^3 + 7 z^2 + 2 z + 6$ undefined
19.6.3.12a1.3 $( x^{6} + 17 x^{3} + 17 x^{2} + 6 x + 2 )^{3} + 19$ $19$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 17 t^{3} + 17 t^{2} + 6 t + 2$ $x^{3} + 19$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
19.3.6.15a1.4 $( x^{3} + 4 x + 17 )^{6} + 19$ $19$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 4 t + 17$ $x^{6} + 19$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + z^2 + 15 z + 6$ undefined
19.3.6.15a1.5 $( x^{3} + 4 x + 17 )^{6} + 285 x + 38$ $19$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 4 t + 17$ $x^{6} + 285 t + 38$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + z^2 + 15 z + 6$ undefined
31.6.3.12a1.3 $( x^{6} + 19 x^{3} + 16 x^{2} + 8 x + 3 )^{3} + 31$ $31$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 19 t^{3} + 16 t^{2} + 8 t + 3$ $x^{3} + 31$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
31.3.6.15a1.4 $( x^{3} + x + 28 )^{6} + 31$ $31$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 28$ $x^{6} + 31$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
31.3.6.15a1.5 $( x^{3} + x + 28 )^{6} + 930 x + 93$ $31$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 28$ $x^{6} + 930 t + 93$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
37.6.3.12a1.3 $( x^{6} + 35 x^{3} + 4 x^{2} + 30 x + 2 )^{3} + 37$ $37$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 35 t^{3} + 4 t^{2} + 30 t + 2$ $x^{3} + 37$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
37.3.6.15a1.4 $( x^{3} + 6 x + 35 )^{6} + 37$ $37$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t + 35$ $x^{6} + 37$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
37.3.6.15a1.5 $( x^{3} + 6 x + 35 )^{6} + 1147 x + 74$ $37$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t + 35$ $x^{6} + 1147 t + 74$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
43.6.3.12a1.3 $( x^{6} + 19 x^{3} + 28 x^{2} + 21 x + 3 )^{3} + 43$ $43$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 19 t^{3} + 28 t^{2} + 21 t + 3$ $x^{3} + 43$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
43.3.6.15a1.4 $( x^{3} + x + 40 )^{6} + 43$ $43$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 40$ $x^{6} + 43$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
43.3.6.15a1.5 $( x^{3} + x + 40 )^{6} + 1806 x + 129$ $43$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 40$ $x^{6} + 1806 t + 129$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
61.6.3.12a1.3 $( x^{6} + 49 x^{3} + 3 x^{2} + 29 x + 2 )^{3} + 61$ $61$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 49 t^{3} + 3 t^{2} + 29 t + 2$ $x^{3} + 61$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
61.3.6.15a1.4 $( x^{3} + 7 x + 59 )^{6} + 61$ $61$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 7 t + 59$ $x^{6} + 61$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
61.3.6.15a1.5 $( x^{3} + 7 x + 59 )^{6} + 3294 x + 122$ $61$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 7 t + 59$ $x^{6} + 3294 t + 122$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
67.6.3.12a1.3 $( x^{6} + 63 x^{3} + 49 x^{2} + 55 x + 2 )^{3} + 67$ $67$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 63 t^{3} + 49 t^{2} + 55 t + 2$ $x^{3} + 67$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
67.3.6.15a1.4 $( x^{3} + 6 x + 65 )^{6} + 67$ $67$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t + 65$ $x^{6} + 67$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
67.3.6.15a1.5 $( x^{3} + 6 x + 65 )^{6} + 4087 x + 134$ $67$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t + 65$ $x^{6} + 4087 t + 134$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
73.6.3.12a1.3 $( x^{6} + 45 x^{3} + 23 x^{2} + 48 x + 5 )^{3} + 73$ $73$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 45 t^{3} + 23 t^{2} + 48 t + 5$ $x^{3} + 73$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
73.3.6.15a1.4 $( x^{3} + 2 x + 68 )^{6} + 73$ $73$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 68$ $x^{6} + 73$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
73.3.6.15a1.5 $( x^{3} + 2 x + 68 )^{6} + 5183 x + 365$ $73$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 68$ $x^{6} + 5183 t + 365$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
79.6.3.12a1.3 $( x^{6} + 19 x^{3} + 28 x^{2} + 68 x + 3 )^{3} + 79$ $79$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 19 t^{3} + 28 t^{2} + 68 t + 3$ $x^{3} + 79$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
79.3.6.15a1.4 $( x^{3} + 9 x + 76 )^{6} + 79$ $79$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 9 t + 76$ $x^{6} + 79$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
79.3.6.15a1.5 $( x^{3} + 9 x + 76 )^{6} + 5530 x + 237$ $79$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 9 t + 76$ $x^{6} + 5530 t + 237$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
97.6.3.12a1.3 $( x^{6} + 92 x^{3} + 58 x^{2} + 88 x + 5 )^{3} + 97$ $97$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 92 t^{3} + 58 t^{2} + 88 t + 5$ $x^{3} + 97$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
97.3.6.15a1.4 $( x^{3} + 9 x + 92 )^{6} + 97$ $97$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 9 t + 92$ $x^{6} + 97$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
97.3.6.15a1.5 $( x^{3} + 9 x + 92 )^{6} + 8536 x + 485$ $97$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 9 t + 92$ $x^{6} + 8536 t + 485$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
103.6.3.12a1.3 $( x^{6} + 96 x^{3} + 9 x^{2} + 30 x + 5 )^{3} + 103$ $103$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 96 t^{3} + 9 t^{2} + 30 t + 5$ $x^{3} + 103$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
103.3.6.15a1.4 $( x^{3} + 2 x + 98 )^{6} + 103$ $103$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 98$ $x^{6} + 103$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
103.3.6.15a1.5 $( x^{3} + 2 x + 98 )^{6} + 10403 x + 515$ $103$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 2 t + 98$ $x^{6} + 10403 t + 515$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
109.6.3.12a1.3 $( x^{6} + 107 x^{3} + 102 x^{2} + 66 x + 6 )^{3} + 109$ $109$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 107 t^{3} + 102 t^{2} + 66 t + 6$ $x^{3} + 109$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
109.3.6.15a1.4 $( x^{3} + x + 103 )^{6} + 109$ $109$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 103$ $x^{6} + 109$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
109.3.6.15a1.5 $( x^{3} + x + 103 )^{6} + 11772 x + 654$ $109$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 103$ $x^{6} + 11772 t + 654$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
127.6.3.12a1.3 $( x^{6} + 84 x^{3} + 115 x^{2} + 82 x + 3 )^{3} + 127$ $127$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 84 t^{3} + 115 t^{2} + 82 t + 3$ $x^{3} + 127$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
127.3.6.15a1.4 $( x^{3} + 3 x + 124 )^{6} + 127$ $127$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 3 t + 124$ $x^{6} + 127$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
127.3.6.15a1.5 $( x^{3} + 3 x + 124 )^{6} + 15748 x + 381$ $127$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 3 t + 124$ $x^{6} + 15748 t + 381$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
139.6.3.12a1.3 $( x^{6} + 4 x^{4} + 46 x^{3} + 10 x^{2} + 118 x + 2 )^{3} + 139$ $139$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 4 t^{4} + 46 t^{3} + 10 t^{2} + 118 t + 2$ $x^{3} + 139$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
139.3.6.15a1.4 $( x^{3} + 6 x + 137 )^{6} + 139$ $139$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t + 137$ $x^{6} + 139$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
139.3.6.15a1.5 $( x^{3} + 6 x + 137 )^{6} + 18487 x + 278$ $139$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + 6 t + 137$ $x^{6} + 18487 t + 278$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
151.6.3.12a1.3 $( x^{6} + 125 x^{3} + 18 x^{2} + 15 x + 6 )^{3} + 151$ $151$ $6$ $3$ $12$ $C_6 \times C_3$ (as 18T2) $6$ $3$ $[\ ]$ $[\ ]$ $[\ ]_{3}^{6}$ $[\ ]_{3}^{6}$ $[\ ]$ $[\ ]$ $t^{6} + 125 t^{3} + 18 t^{2} + 15 t + 6$ $x^{3} + 151$ $[0]$ $[1]$ $z^2 + 3 z + 3$ undefined
151.3.6.15a1.4 $( x^{3} + x + 145 )^{6} + 151$ $151$ $3$ $6$ $15$ $C_6 \times C_3$ (as 18T2) $3$ $6$ $[\ ]$ $[\ ]$ $[\ ]_{6}^{3}$ $[\ ]_{6}^{3}$ $[\ ]$ $[\ ]$ $t^{3} + t + 145$ $x^{6} + 151$ $[0]$ $[1]$ $z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ undefined
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