LMFDB - $p$-adic family 2.1.16.60j

Defining polynomial

$x^{16} + 8 b_{47} x^{15} + 8 b_{46} x^{14} + 8 a_{45} x^{13} + 8 b_{44} x^{12} + 8 b_{42} x^{10} + 4 b_{24} x^{8} + 8 b_{36} x^{4} + 16 b_{49} x + 8 c_{32} + 16 c_{48} + 2$

Invariants

Residue field characteristic:	$2$
Degree:	$16$
Base field:	$\Q_{2}$
Ramification index $e$:	$16$
Residue field degree $f$:	$1$
Discriminant exponent $c$:	$60$
Artin slopes:	$[3,4,\frac{49}{12},\frac{49}{12}]$
Swan slopes:	$[2,3,\frac{37}{12},\frac{37}{12}]$
Means:	$\langle1,2,\frac{61}{24},\frac{45}{16}\rangle$
Rams:	$(2,4,\frac{13}{3},\frac{13}{3})$
Field count:	$128$ (complete)
Ambiguity:	$4$
Mass:	$128$
Absolute Mass:	$128$

Diagrams

Varying

Indices of inseparability:	$[45,42,32,16,0]$ (show 64), $[45,45,32,16,0]$ (show 64)
Associated inertia:	$[1,1,1]$
Jump Set:	$[1,3,7,15,31]$

Galois groups and Hidden Artin slopes

Select desired size of Galois group. Note that the following data has not all been computed for fields in this family, so the tables below are incomplete.

		Galois groups of order 1536
		$C_2^6:(C_4\times S_3)$ (as 16T1300)	$C_2^6:D_{12}$ (as 16T1313)	Total
hidden slopes	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	28	32	60

		Galois groups of order 3072
		$C_2^6:(C_2\times S_4)$ (as 16T1519)
hidden slopes	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	64

Fields

Galois group	Galois Artin	Indices

Assoc. Inertia	Jump Set

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Showing 1-50 of 64

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Label	Polynomial	Galois group	Galois degree	$\#\Aut(K/\Q_p)$	Artin slope content	Swan slope content	Hidden Artin slopes	Hidden Swan slopes	Ind. of Insep.	Assoc. Inertia	Resid. Poly	Jump Set
2.1.16.60j1.9	$x^{16} + 8 x^{13} + 8 x^{10} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.10	$x^{16} + 8 x^{13} + 8 x^{10} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.11	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.12	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.13	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.14	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.15	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.16	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.25	$x^{16} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.26	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.27	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.28	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.29	$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.30	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.31	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.32	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 2$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.41	$x^{16} + 8 x^{13} + 8 x^{10} + 10$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.42	$x^{16} + 8 x^{13} + 8 x^{10} + 26$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.43	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 10$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.44	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 26$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.45	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 10$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.46	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 26$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.47	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 10$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.48	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 26$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.57	$x^{16} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.58	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.59	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.60	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.61	$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.62	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.63	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.64	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 8 x^{4} + 10$	$C_2^6:D_{12}$ (as 16T1313)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.73	$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 2$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.74	$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 18$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.75	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 2$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	not computed	not computed	not computed	not computed	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.76	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 18$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	not computed	not computed	not computed	not computed	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.77	$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 2$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.78	$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 18$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.79	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 2$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	not computed	not computed	not computed	not computed	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.80	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 18$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	not computed	not computed	not computed	not computed	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.89	$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.90	$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.91	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.92	$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.93	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.94	$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.95	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 2$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.96	$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 8 x^{4} + 18$	$C_2^6:(C_2\times S_4)$ (as 16T1519)	$3072$	$1$	$[\frac{4}{3}, \frac{4}{3}, 2, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},1,2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},2,\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},1,\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.105	$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 10$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.60j1.106	$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 26$	$C_2^6:(C_4\times S_3)$ (as 16T1300)	$1536$	$1$	$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$	$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$	$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$	$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$	$[45, 42, 32, 16, 0]$	$[1, 1, 1]$	$z^8 + 1,z^4 + 1,z + 1$	$[1, 3, 7, 15, 31]$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Label	2.1.16.60j
Base	2.1.1.0a1.1
Degree	\(16\)
e	\(16\)
f	\(1\)
c	\(60\)

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