$p$-adic family 2.1.16.66g

• Label: 2.1.16.66g
• Base: 2.1.1.0a1.1
• Degree: \(16\)
• e: \(16\)
• f: \(1\)
• c: \(66\)

Defining polynomial

$x^{16} + \left(8 b_{46} + 16 c_{62}\right) x^{14} + 16 b_{61} x^{13} + 4 b_{28} x^{12} + 16 b_{59} x^{11} + 8 b_{42} x^{10} + 16 b_{57} x^{9} + \left(2 a_{8} + 8 c_{40} + 16 c_{56}\right) x^{8} + 16 b_{55} x^{7} + 16 b_{54} x^{6} + 16 b_{53} x^{5} + 8 b_{36} x^{4} + 16 a_{51} x^{3} + 16 b_{50} x^{2} + 4 c_{16} + 2$

Invariants

Residue field characteristic:	$2$
Degree:	$16$
Base field:	$\Q_{2}$
Ramification index $e$:	$16$
Residue field degree $f$:	$1$
Discriminant exponent $c$:	$66$
Artin slopes:	$[2,\frac{7}{2},\frac{9}{2},\frac{39}{8}]$
Swan slopes:	$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$
Means:	$\langle\frac{1}{2},\frac{3}{2},\frac{5}{2},\frac{51}{16}\rangle$
Rams:	$(1,4,8,11)$
Field count:	$4096$ (complete)
Ambiguity:	$16$
Mass:	$2048$
Absolute Mass:	$2048$

Diagrams

Varying

Indices of inseparability:	$[51,40,24,8,0]$
Associated inertia:	$[1,1,1,1]$
Jump Set:	$[1,2,4,8,32]$ (show 2048), $[1,5,13,29,45]$ (show 2048)

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 256
		$C_2^4.D_8$ (as 16T686)	$C_2^4.Q_{16}$ (as 16T691)	$C_2^4.Q_{16}$ (as 16T698)	$C_2^4.D_8$ (as 16T705)	Total
hidden slopes	$[3,4,\frac{17}{4},\frac{19}{4}]$	64	64	64	64	256

		Galois groups of order 512
		$C_2^6.D_4$ (as 16T900)	$C_2^6.D_4$ (as 16T921)	$C_2^5:D_8$ (as 16T962)	$C_2^5:\SD_{16}$ (as 16T993)	$C_2^5.(C_2\times D_4)$ (as 16T995)	$C_2^5.(C_2\times D_4)$ (as 16T1009)	$C_2^5:\SD_{16}$ (as 16T1016)	$C_2^5:D_8$ (as 16T1017)	Total
hidden slopes	$[3,4,\frac{17}{4},\frac{19}{4}]^{2}$	128	128	64	64	128	128	64	64	768

		Galois groups of order 1024
		$C_2^6:D_8$ (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	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	48	112	96	112	96	40	44	32	580
		$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$	80	16	32	16	32	88	84	96	444

		Galois groups of order 2048
		$(C_2^2\times D_4^2).D_4$ (as 16T1357)	$C_2^6:C_4\wr C_2$ (as 16T1361)	$C_2^6:C_4\wr C_2$ (as 16T1429)	$C_2\wr D_4$ (as 16T1445)	$C_2^4.C_2\wr D_4$ (as 16T1473)	$C_2^4.C_2\wr D_4$ (as 16T1478)	Total
hidden slopes	$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$	272	192	208	232	48	72	1024

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
2.1.16.66g1.2049		$x^{16} + 2 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2050		$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2051		$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2052		$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2053		$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2054		$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2055		$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2056		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2057		$x^{16} + 18 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2058		$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2059		$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2060		$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2061		$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2062		$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2063		$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2064		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2065		$x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2066		$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2067		$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2068		$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2069		$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2070		$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2071		$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2072		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2073		$x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2074		$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2075		$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2076		$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2077		$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2078		$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2079		$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2080		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2081		$x^{16} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2082		$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2083		$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2084		$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2085		$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2086		$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2087		$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2088		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2089		$x^{16} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2090		$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2091		$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2092		$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$(C_2^2\times C_4^2):\SD_{16}$ (as 16T1270)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2093		$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2094		$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2095		$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2096		$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2097		$x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$
2.1.16.66g1.2098		$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 16 x^{2} + 6$	$C_2^6:\SD_{16}$ (as 16T1256)	$1024$	$2$	$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$	$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$	$[\frac{17}{4},\frac{19}{4},2,3,4]_{2}$	$[\frac{13}{4},\frac{15}{4},1,2,3]_{2}$	$[51, 40, 24, 8, 0]$	$[1, 1, 1, 1]$	$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$	$[1, 2, 4, 8, 32]$

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