LMFDB - p-adic field search results

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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 (1-50 of 194 matches)

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Label	$n$	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	$\#\Aut(K/\Q_p)$	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia	Resid. Poly	Jump Set
193.1.1.0a1.1	$1$	$x + 188$	$193$	$1$	$1$	$0$	Trivial (as 1T1)	$1$	$1$	$[\ ]$	$[\ ]$	$[\ ]$	$[\ ]$	$[\ ]$	$[\ ]$	$1$	$t + 188$	$x - 193$	$[0]$	$[\ ]$		undefined
193.2.1.0a1.1	$2$	$x^{2} + 192 x + 5$	$193$	$2$	$1$	$0$	$C_2$ (as 2T1)	$2$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{2}$	$[\ ]^{2}$	$[\ ]$	$[\ ]$	$2$	$t^{2} + 192 t + 5$	$x - 193$	$[0]$	$[\ ]$		undefined
193.1.2.1a1.1	$2$	$x^{2} + 193$	$193$	$1$	$2$	$1$	$C_2$ (as 2T1)	$1$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}$	$[\ ]_{2}$	$[\ ]$	$[\ ]$	$2$	$t + 188$	$x^{2} + 193$	$[0]$	$[1]$	$z + 2$	undefined
193.1.2.1a1.2	$2$	$x^{2} + 965$	$193$	$1$	$2$	$1$	$C_2$ (as 2T1)	$1$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}$	$[\ ]_{2}$	$[\ ]$	$[\ ]$	$2$	$t + 188$	$x^{2} + 965$	$[0]$	$[1]$	$z + 2$	undefined
193.3.1.0a1.1	$3$	$x^{3} + x + 188$	$193$	$3$	$1$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{3}$	$[\ ]^{3}$	$[\ ]$	$[\ ]$	$3$	$t^{3} + t + 188$	$x - 193$	$[0]$	$[\ ]$		undefined
193.1.3.2a1.1	$3$	$x^{3} + 193$	$193$	$1$	$3$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}$	$[\ ]_{3}$	$[\ ]$	$[\ ]$	$3$	$t + 188$	$x^{3} + 193$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.1.3.2a1.2	$3$	$x^{3} + 965$	$193$	$1$	$3$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}$	$[\ ]_{3}$	$[\ ]$	$[\ ]$	$3$	$t + 188$	$x^{3} + 965$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.1.3.2a1.3	$3$	$x^{3} + 4825$	$193$	$1$	$3$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}$	$[\ ]_{3}$	$[\ ]$	$[\ ]$	$3$	$t + 188$	$x^{3} + 4825$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.4.1.0a1.1	$4$	$x^{4} + 6 x^{2} + 148 x + 5$	$193$	$4$	$1$	$0$	$C_4$ (as 4T1)	$4$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{4}$	$[\ ]^{4}$	$[\ ]$	$[\ ]$	$4$	$t^{4} + 6 t^{2} + 148 t + 5$	$x - 193$	$[0]$	$[\ ]$		undefined
193.2.2.2a1.1	$4$	$( x^{2} + 192 x + 5 )^{2} + 193 x$	$193$	$2$	$2$	$2$	$C_4$ (as 4T1)	$2$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}^{2}$	$[\ ]_{2}^{2}$	$[\ ]$	$[\ ]$	$4$	$t^{2} + 192 t + 5$	$x^{2} + 193 t$	$[0]$	$[1]$	$z + 2$	undefined
193.2.2.2a1.2	$4$	$( x^{2} + 192 x + 5 )^{2} + 193$	$193$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$2$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}^{2}$	$[\ ]_{2}^{2}$	$[\ ]$	$[\ ]$	$4$	$t^{2} + 192 t + 5$	$x^{2} + 193$	$[0]$	$[1]$	$z + 2$	undefined
193.1.4.3a1.1	$4$	$x^{4} + 193$	$193$	$1$	$4$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}$	$[\ ]_{4}$	$[\ ]$	$[\ ]$	$4$	$t + 188$	$x^{4} + 193$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.1.4.3a1.2	$4$	$x^{4} + 965$	$193$	$1$	$4$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}$	$[\ ]_{4}$	$[\ ]$	$[\ ]$	$4$	$t + 188$	$x^{4} + 965$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.1.4.3a1.3	$4$	$x^{4} + 4825$	$193$	$1$	$4$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}$	$[\ ]_{4}$	$[\ ]$	$[\ ]$	$4$	$t + 188$	$x^{4} + 4825$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.1.4.3a1.4	$4$	$x^{4} + 24125$	$193$	$1$	$4$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}$	$[\ ]_{4}$	$[\ ]$	$[\ ]$	$4$	$t + 188$	$x^{4} + 24125$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.5.1.0a1.1	$5$	$x^{5} + 7 x + 188$	$193$	$5$	$1$	$0$	$C_5$ (as 5T1)	$5$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{5}$	$[\ ]^{5}$	$[\ ]$	$[\ ]$	$5$	$t^{5} + 7 t + 188$	$x - 193$	$[0]$	$[\ ]$		undefined
193.1.5.4a1.1	$5$	$x^{5} + 193$	$193$	$1$	$5$	$4$	$F_5$ (as 5T3)	$4$	$5$	$[\ ]$	$[\ ]$	$[\ ]_{5}^{4}$	$[\ ]_{5}^{4}$	$[\ ]^{4}$	$[\ ]^{4}$	$1$	$t + 188$	$x^{5} + 193$	$[0]$	$[4]$	$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$	undefined
193.6.1.0a1.1	$6$	$x^{6} + 149 x^{3} + 8 x^{2} + 172 x + 5$	$193$	$6$	$1$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{6}$	$[\ ]^{6}$	$[\ ]$	$[\ ]$	$6$	$t^{6} + 149 t^{3} + 8 t^{2} + 172 t + 5$	$x - 193$	$[0]$	$[\ ]$		undefined
193.3.2.3a1.1	$6$	$( x^{3} + x + 188 )^{2} + 193 x$	$193$	$3$	$2$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}^{3}$	$[\ ]_{2}^{3}$	$[\ ]$	$[\ ]$	$6$	$t^{3} + t + 188$	$x^{2} + 193 t$	$[0]$	$[1]$	$z + 2$	undefined
193.3.2.3a1.2	$6$	$( x^{3} + x + 188 )^{2} + 193$	$193$	$3$	$2$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}^{3}$	$[\ ]_{2}^{3}$	$[\ ]$	$[\ ]$	$6$	$t^{3} + t + 188$	$x^{2} + 193$	$[0]$	$[1]$	$z + 2$	undefined
193.2.3.4a1.1	$6$	$( x^{2} + 192 x + 5 )^{3} + 193 x$	$193$	$2$	$3$	$4$	$C_6$ (as 6T1)	$2$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}^{2}$	$[\ ]_{3}^{2}$	$[\ ]$	$[\ ]$	$6$	$t^{2} + 192 t + 5$	$x^{3} + 193 t$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.2.3.4a1.2	$6$	$( x^{2} + 192 x + 5 )^{3} + 193$	$193$	$2$	$3$	$4$	$C_6$ (as 6T1)	$2$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}^{2}$	$[\ ]_{3}^{2}$	$[\ ]$	$[\ ]$	$6$	$t^{2} + 192 t + 5$	$x^{3} + 193$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.2.3.4a1.3	$6$	$( x^{2} + 192 x + 5 )^{3} + 193 x + 36284$	$193$	$2$	$3$	$4$	$C_6$ (as 6T1)	$2$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}^{2}$	$[\ ]_{3}^{2}$	$[\ ]$	$[\ ]$	$6$	$t^{2} + 192 t + 5$	$x^{3} + 193 t + 36284$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.1.6.5a1.1	$6$	$x^{6} + 193$	$193$	$1$	$6$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]$	$[\ ]_{6}$	$[\ ]_{6}$	$[\ ]$	$[\ ]$	$6$	$t + 188$	$x^{6} + 193$	$[0]$	$[1]$	$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$	undefined
193.1.6.5a1.2	$6$	$x^{6} + 965$	$193$	$1$	$6$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]$	$[\ ]_{6}$	$[\ ]_{6}$	$[\ ]$	$[\ ]$	$6$	$t + 188$	$x^{6} + 965$	$[0]$	$[1]$	$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$	undefined
193.1.6.5a1.3	$6$	$x^{6} + 4825$	$193$	$1$	$6$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]$	$[\ ]_{6}$	$[\ ]_{6}$	$[\ ]$	$[\ ]$	$6$	$t + 188$	$x^{6} + 4825$	$[0]$	$[1]$	$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$	undefined
193.1.6.5a1.4	$6$	$x^{6} + 7141$	$193$	$1$	$6$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]$	$[\ ]_{6}$	$[\ ]_{6}$	$[\ ]$	$[\ ]$	$6$	$t + 188$	$x^{6} + 7141$	$[0]$	$[1]$	$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$	undefined
193.1.6.5a1.5	$6$	$x^{6} + 8878$	$193$	$1$	$6$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]$	$[\ ]_{6}$	$[\ ]_{6}$	$[\ ]$	$[\ ]$	$6$	$t + 188$	$x^{6} + 8878$	$[0]$	$[1]$	$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$	undefined
193.1.6.5a1.6	$6$	$x^{6} + 24125$	$193$	$1$	$6$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]$	$[\ ]_{6}$	$[\ ]_{6}$	$[\ ]$	$[\ ]$	$6$	$t + 188$	$x^{6} + 24125$	$[0]$	$[1]$	$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$	undefined
193.7.1.0a1.1	$7$	$x^{7} + 8 x + 188$	$193$	$7$	$1$	$0$	$C_7$ (as 7T1)	$7$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{7}$	$[\ ]^{7}$	$[\ ]$	$[\ ]$	$7$	$t^{7} + 8 t + 188$	$x - 193$	$[0]$	$[\ ]$		undefined
193.1.7.6a1.1	$7$	$x^{7} + 193$	$193$	$1$	$7$	$6$	$C_7:C_3$ (as 7T3)	$3$	$7$	$[\ ]$	$[\ ]$	$[\ ]_{7}^{3}$	$[\ ]_{7}^{3}$	$[\ ]^{3}$	$[\ ]^{3}$	$1$	$t + 188$	$x^{7} + 193$	$[0]$	$[3]$	$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$	undefined
193.8.1.0a1.1	$8$	$x^{8} + 10 x^{4} + 145 x^{3} + 34 x^{2} + 154 x + 5$	$193$	$8$	$1$	$0$	$C_8$ (as 8T1)	$8$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{8}$	$[\ ]^{8}$	$[\ ]$	$[\ ]$	$8$	$t^{8} + 10 t^{4} + 145 t^{3} + 34 t^{2} + 154 t + 5$	$x - 193$	$[0]$	$[\ ]$		undefined
193.4.2.4a1.1	$8$	$( x^{4} + 6 x^{2} + 148 x + 5 )^{2} + 193 x$	$193$	$4$	$2$	$4$	$C_8$ (as 8T1)	$4$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}^{4}$	$[\ ]_{2}^{4}$	$[\ ]$	$[\ ]$	$8$	$t^{4} + 6 t^{2} + 148 t + 5$	$x^{2} + 193 t$	$[0]$	$[1]$	$z + 2$	undefined
193.4.2.4a1.2	$8$	$( x^{4} + 6 x^{2} + 148 x + 5 )^{2} + 193$	$193$	$4$	$2$	$4$	$C_4\times C_2$ (as 8T2)	$4$	$2$	$[\ ]$	$[\ ]$	$[\ ]_{2}^{4}$	$[\ ]_{2}^{4}$	$[\ ]$	$[\ ]$	$8$	$t^{4} + 6 t^{2} + 148 t + 5$	$x^{2} + 193$	$[0]$	$[1]$	$z + 2$	undefined
193.2.4.6a1.1	$8$	$( x^{2} + 192 x + 5 )^{4} + 193 x$	$193$	$2$	$4$	$6$	$C_8$ (as 8T1)	$2$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}^{2}$	$[\ ]_{4}^{2}$	$[\ ]$	$[\ ]$	$8$	$t^{2} + 192 t + 5$	$x^{4} + 193 t$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.2.4.6a1.2	$8$	$( x^{2} + 192 x + 5 )^{4} + 193$	$193$	$2$	$4$	$6$	$C_4\times C_2$ (as 8T2)	$2$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}^{2}$	$[\ ]_{4}^{2}$	$[\ ]$	$[\ ]$	$8$	$t^{2} + 192 t + 5$	$x^{4} + 193$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.2.4.6a1.3	$8$	$( x^{2} + 192 x + 5 )^{4} + 193 x + 36284$	$193$	$2$	$4$	$6$	$C_4\times C_2$ (as 8T2)	$2$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}^{2}$	$[\ ]_{4}^{2}$	$[\ ]$	$[\ ]$	$8$	$t^{2} + 192 t + 5$	$x^{4} + 193 t + 36284$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.2.4.6a1.4	$8$	$( x^{2} + 192 x + 5 )^{4} + 36477 x + 36284$	$193$	$2$	$4$	$6$	$C_8$ (as 8T1)	$2$	$4$	$[\ ]$	$[\ ]$	$[\ ]_{4}^{2}$	$[\ ]_{4}^{2}$	$[\ ]$	$[\ ]$	$8$	$t^{2} + 192 t + 5$	$x^{4} + 36477 t + 36284$	$[0]$	$[1]$	$z^3 + 4 z^2 + 6 z + 4$	undefined
193.1.8.7a1.1	$8$	$x^{8} + 193$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 193$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.2	$8$	$x^{8} + 965$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 965$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.3	$8$	$x^{8} + 4825$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 4825$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.4	$8$	$x^{8} + 7141$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 7141$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.5	$8$	$x^{8} + 8878$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 8878$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.6	$8$	$x^{8} + 24125$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 24125$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.7	$8$	$x^{8} + 29529$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 29529$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.1.8.7a1.8	$8$	$x^{8} + 35705$	$193$	$1$	$8$	$7$	$C_8$ (as 8T1)	$1$	$8$	$[\ ]$	$[\ ]$	$[\ ]_{8}$	$[\ ]_{8}$	$[\ ]$	$[\ ]$	$8$	$t + 188$	$x^{8} + 35705$	$[0]$	$[1]$	$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$	undefined
193.9.1.0a1.1	$9$	$x^{9} + 8 x^{3} + 168 x^{2} + 27 x + 188$	$193$	$9$	$1$	$0$	$C_9$ (as 9T1)	$9$	$1$	$[\ ]$	$[\ ]$	$[\ ]^{9}$	$[\ ]^{9}$	$[\ ]$	$[\ ]$	$9$	$t^{9} + 8 t^{3} + 168 t^{2} + 27 t + 188$	$x - 193$	$[0]$	$[\ ]$		undefined
193.3.3.6a1.1	$9$	$( x^{3} + x + 188 )^{3} + 193 x^{2}$	$193$	$3$	$3$	$6$	$C_9$ (as 9T1)	$3$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}^{3}$	$[\ ]_{3}^{3}$	$[\ ]$	$[\ ]$	$9$	$t^{3} + t + 188$	$x^{3} + 193 t^{2}$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.3.3.6a1.2	$9$	$( x^{3} + x + 188 )^{3} + 193 x$	$193$	$3$	$3$	$6$	$C_9$ (as 9T1)	$3$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}^{3}$	$[\ ]_{3}^{3}$	$[\ ]$	$[\ ]$	$9$	$t^{3} + t + 188$	$x^{3} + 193 t$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined
193.3.3.6a1.3	$9$	$( x^{3} + x + 188 )^{3} + 193$	$193$	$3$	$3$	$6$	$C_3^2$ (as 9T2)	$3$	$3$	$[\ ]$	$[\ ]$	$[\ ]_{3}^{3}$	$[\ ]_{3}^{3}$	$[\ ]$	$[\ ]$	$9$	$t^{3} + t + 188$	$x^{3} + 193$	$[0]$	$[1]$	$z^2 + 3 z + 3$	undefined

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