Cumulative Quintic Tables

Fields are organized by the set S. We start with cases where S contains one prime.

Cases where S contains one prime
Cases where S contains two primes
Cases where S contains three primes

Cases where S contains one prime

		S	S₅	A₅	F₅	D₅	C₅	Total
		{2}						0
		{3}						0
gp	dvi	{5}			2		1	3
		{7}						0
gp	dvi	{11}					1	1
		{13}						0
		{17}						0
		{19}						0
		{23}						0
		{29}						0
gp	dvi	{31}					1	1
		{37}						0
gp	dvi	{41}					1	1
		{43}						0
gp	dvi	{47}				1		1
		{53}						0
		{59}						0
gp	dvi	{61}					1	1
		{67}						0
gp	dvi	{71}					1	1
		{73}						0
gp	dvi	{79}				1		1
		{83}						0
		{89}						0
		{97}						0
gp	dvi	{101}	1		1		1	3
gp	dvi	{103}				1		1

Cases where S contains two primes

		S	S₅	A₅	F₅	D₅	C₅	Total
gp	dvi	{2,3}	5		1			6
gp	dvi	{2,5}	38	5	19	4	1	67
gp	dvi	{3,5}	22	6	7	2	1	38
gp	dvi	{2,7}	2					2
		{3,7}						0
gp	dvi	{5,7}	4		7	2	1	14
gp	dvi	{2,11}	2		1	1	1	5
gp	dvi	{3,11}		2			1	3
gp	dvi	{5,11}	5		13	3	6	27
gp	dvi	{7,11}	1			1	1	3
gp	dvi	{2,13}	4		6			10
		{3,13}						0
gp	dvi	{5,13}	9	1	13		1	24
gp	dvi	{7,13}			1			1
gp	dvi	{11,13}				1	1	2
gp	dvi	{2,17}	3	1				4
gp	dvi	{3,17}	1	1	1			3
gp	dvi	{5,17}	12		14		1	27
gp	dvi	{7,17}				1		1
gp	dvi	{11,17}					1	1
gp	dvi	{13,17}			1			1
gp	dvi	{2,19}	2	1	1	1		5
gp	dvi	{3,19}	4	3				7
gp	dvi	{5,19}	8		13	2	1	24
gp	dvi	{7,19}				1		1
gp	dvi	{11,19}	1			2	1	4
gp	dvi	{13,19}	1					1
gp	dvi	{17,19}	1					1

Cases where S contains three primes

		S	S₅	A₅	F₅	D₅	C₅	Total
gp	dvi	{2,3,5}	1353	62	82	8	1	1506
gp	dvi	{2,3,7}	153	1	2			156
gp	dvi	{2,5,7}	453	15	83	9	1	561
gp	dvi	{3,5,7}	205	25	41	4	1	276

Case where S contains four primes

The next file contains all of the A₅ fields, but contains only the A₅ fields. It currently does not have class number entries filled in.

		S	A₅
gp	dvi	{2,3,5,7}	186

Last modified: Thu Apr 1 10:13:58 MST 1999