Summary Tables for 2-adic Fields of Degree 14

By Discriminant and Ramification Index

	e=1	e=2	e=7	e=14	Total
d=0	1				1
12			1		1
14		38		2	40
16				4	4
18				8	8
20				16	16
21		40			40
22				32	32
24				64	64
26				128	128
27				256	256
Total	1	78	1	510	590

By Galois Group and Ramification Index

	e=1	e=2	e=7	e=14	Total
g=1	1	6			7
5			1	6	7
6		2			2
9		14			14
11				14	14
18				98	98
21		7			7
29		49			49
35				49	49
44				343	343
Total	1	78	1	510	590

By Galois Group and Discriminant

Ramification Index = 1

	d=0	Total
g=1	1	1
Total	1	1

Ramification Index = 2

	d=14	21	Total
g=1	2	4	6
6	2		2
9	6	8	14
21	7		7
29	21	28	49
Total	38	40	78

Ramification Index = 7

	d=12	Total
g=5	1	1
Total	1	1

Ramification Index = 14

	d=14	16	18	20	22	24	26	27	Total
g=5				2				4	6
11	1	1	2		2	4	4		14
18	1	1	2	8	6	12	12	56	98
35		1	2		6	12	28		49
44		1	2	6	18	36	84	196	343
Total	2	4	8	16	32	64	128	256	510