$p$-adic field search results

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Results (32 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
2.1.16.42b4.41	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.42	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.43	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.44	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.45	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.46	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.47	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.48	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.57	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.58	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.59	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.60	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.61	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.62	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.63	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.64	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 2$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 23, 39]$
2.1.16.42b4.113	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.114	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.115	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.116	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.117	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.118	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.119	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.120	$16$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.129	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.130	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.131	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.132	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 6$	$2$	$1$	$16$	$42$	$(D_4\times C_2^3).Q_{16}$ (as 16T1255)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.133	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.134	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.135	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$
2.1.16.42b4.136	$16$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$2$	$1$	$16$	$42$	$C_2^6.\SD_{16}$ (as 16T1284)	$4$	$1$	$[2, 2, 2, \frac{7}{2}]$	$[1,1,1,\frac{5}{2}]$	$[2, 2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$	$[1,1,1,1,2,2,2,\frac{5}{2}]^{4}$	$[2,3,3,3]_{4}$	$[1,2,2,2]_{4}$	$2$	$t + 1$	$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 6$	$[27, 14, 12, 8, 0]$	$[4, 1]$	$z^{14} + z^6 + z^2 + 1,z + 1$	$[1, 2, 7, 14, 32]$

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