$p$-adic family 2.1.16.74c

• Label: 2.1.16.74c
• Base: 2.1.1.0a1.1
• Degree: \(16\)
• e: \(16\)
• f: \(1\)
• c: \(74\)

Defining polynomial

$x^{16} + 16 b_{63} x^{15} + 16 b_{62} x^{14} + 16 b_{61} x^{13} + 8 b_{44} x^{12} + 16 a_{59} x^{11} + 16 b_{58} x^{10} + 4 b_{24} x^{8} + \left(16 b_{54} + 32 c_{70}\right) x^{6} + 32 b_{69} x^{5} + 8 b_{36} x^{4} + 32 b_{67} x^{3} + 16 b_{50} x^{2} + 32 b_{65} x + 8 c_{32} + 16 c_{48} + 32 c_{64} + 2$

Invariants

Residue field characteristic:	$2$
Degree:	$16$
Base field:	$\Q_{2}$
Ramification index $e$:	$16$
Residue field degree $f$:	$1$
Discriminant exponent $c$:	$74$
Artin slopes:	$[3,4,5,\frac{43}{8}]$
Swan slopes:	$[2,3,4,\frac{35}{8}]$
Means:	$\langle1,2,3,\frac{59}{16}\rangle$
Rams:	$(2,4,8,11)$
Field count:	$8192$ (complete)
Ambiguity:	$16$
Mass:	$4096$
Absolute Mass:	$4096$

Diagrams

Varying

Indices of inseparability:	$[59,48,32,16,0]$
Associated inertia:	$[1,1,1,1]$
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 512
		$C_2^6:C_8$ (as 16T817)	$C_2^5.\OD_{16}$ (as 16T836)	$C_2^5.\OD_{16}$ (as 16T901)	$C_2^3.C_2\wr C_4$ (as 16T914)	$C_2^6:C_8$ (as 16T924)	$C_2^3.C_2\wr C_4$ (as 16T932)	$C_2^5.\SD_{16}$ (as 16T992)	$C_2^5.D_8$ (as 16T999)	$C_2^5.\SD_{16}$ (as 16T1019)	$C_2^5.D_8$ (as 16T1026)	Total
hidden slopes	$[2,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]$	128	128	128	256	128	256	128	128	128	128	1536

		Galois groups of order 1024
		$C_2^6:\OD_{16}$ (as 16T1134)	$C_2^4.C_2\wr C_4$ (as 16T1135)	$C_2^4.C_2\wr C_4$ (as 16T1161)	$C_2^6:\OD_{16}$ (as 16T1162)	$C_2^4.C_2\wr C_4$ (as 16T1215)	$C_2^4.C_2\wr C_4$ (as 16T1239)	$C_2^6:D_8$ (as 16T1253)	$C_2^6:\SD_{16}$ (as 16T1256)	$C_2^6:\SD_{16}$ (as 16T1267)	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1273)	$C_2^6:D_8$ (as 16T1275)	$(C_2^2\times C_4^2):D_8$ (as 16T1276)	$(C_2^2\times C_4^2):D_8$ (as 16T1282)	Total
hidden slopes	$[\frac{17}{4},\frac{19}{4},2,\frac{41}{8},\frac{7}{2}]_{2}$	96	176	160	136	144	144	112	216	136	224	224	100	112	112	2092
		$[2,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	160	80	96	120	112	112	144	40	120	32	32	156	144	144	1492

		Galois groups of order 2048
		$C_2^5.C_2\wr C_4$ (as 16T1346)	$C_2^6:C_4\wr C_2$ (as 16T1361)	$C_2^5.C_2\wr C_4$ (as 16T1423)	$C_2^6:C_4\wr C_2$ (as 16T1429)	$C_2^4.C_2\wr D_4$ (as 16T1456)	$C_2^4.C_2\wr D_4$ (as 16T1478)	Total
hidden slopes	$[2,2,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$					192	220	412
		$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	112	184	96	184			576
	Total		112	184	96	184	192	220	988

Fields

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Label	Packet size	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
2.1.16.74c1.1		$x^{16} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.2		$x^{16} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.3		$x^{16} + 16 x^{11} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.4		$x^{16} + 16 x^{11} + 32 x^{6} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.5		$x^{16} + 16 x^{15} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.6		$x^{16} + 16 x^{15} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.7		$x^{16} + 16 x^{15} + 16 x^{11} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.8		$x^{16} + 16 x^{15} + 16 x^{11} + 32 x^{6} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.9		$x^{16} + 16 x^{14} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.10		$x^{16} + 16 x^{14} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.11		$x^{16} + 16 x^{14} + 16 x^{11} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.12		$x^{16} + 16 x^{14} + 16 x^{11} + 32 x^{6} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.13		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.14		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.15		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{11} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.16		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{11} + 32 x^{6} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.17		$x^{16} + 16 x^{13} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.18		$x^{16} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.19		$x^{16} + 16 x^{13} + 16 x^{11} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.20		$x^{16} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.21		$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.22		$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.23		$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.24		$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.25		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.26		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.27		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.28		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.29		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.30		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.31		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.32		$x^{16} + 16 x^{15} + 16 x^{14} + 16 x^{13} + 16 x^{11} + 32 x^{6} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.33		$x^{16} + 16 x^{11} + 16 x^{10} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.34		$x^{16} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.35		$x^{16} + 16 x^{11} + 16 x^{10} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.36		$x^{16} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.37		$x^{16} + 16 x^{11} + 16 x^{10} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.38		$x^{16} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.39		$x^{16} + 16 x^{11} + 16 x^{10} + 32 x^{5} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.40		$x^{16} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 32 x^{5} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.41		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.42		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.43		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.44		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 32 x^{5} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.45		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.46		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.47		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 32 x^{5} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.48		$x^{16} + 16 x^{15} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 32 x^{5} + 34$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.49		$x^{16} + 16 x^{14} + 16 x^{11} + 16 x^{10} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$
2.1.16.74c1.50		$x^{16} + 16 x^{14} + 16 x^{11} + 16 x^{10} + 32 x^{6} + 2$	$C_2^6:C_4\wr C_2$ (as 16T1429)	$2048$	$2$	$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}, \frac{43}{8}]^{2}$	$[1,2,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8},\frac{35}{8}]^{2}$	$[2,3,\frac{7}{2},\frac{17}{4},\frac{19}{4},\frac{41}{8}]^{2}$	$[1,2,\frac{5}{2},\frac{13}{4},\frac{15}{4},\frac{33}{8}]^{2}$	$[59, 48, 32, 16, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 3, 7, 15, 31]$

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