Hilbert modular forms: statistics

The database currently contains 368,356 Hilbert modular forms over 400 totally real number fields of degree 2 to 6.

Distribution of level norms and degrees

		degree
		2	3	4	5	6	Total
level norm	1	549	18	202	3	49	821
		0.29%	0.04%	0.20%	0.02%	0.33%	0.22%
	2-10	6073	1399	1276	333	87	9168
		3.22%	3.05%	1.24%	2.05%	0.58%	2.49%
	11-100	32324	23260	35317	6525	3769	101195
		17.15%	50.70%	34.36%	40.21%	25.11%	27.47%
	101-1000	89119	19560	54930	9355	11106	184070
		47.29%	42.63%	53.44%	57.65%	73.99%	49.97%
	1001-10000	60394	1643	11055	10		73102
		32.05%	3.58%	10.76%	0.06%		19.85%
	Total	188459	45880	102780	16226	15011	368356
		51.16%	12.46%	27.90%	4.40%	4.08%

Distribution of level norms and dimensions

		dimension
		1	2	3	4	5-10	11-20	21-100	101-1000	Total
level norm	1	142	277	42	141	123	75	21		821
		0.11%	0.48%	0.18%	0.58%	0.24%	0.22%	0.05%		0.22%
	2-10	2614	2064	586	1072	1518	856	456	2	9168
		1.98%	3.60%	2.56%	4.44%	2.92%	2.49%	1.05%	0.10%	2.49%
	11-100	34529	16745	6338	7504	14916	9587	10995	581	101195
		26.14%	29.22%	27.69%	31.11%	28.72%	27.89%	25.24%	27.99%	27.47%
	101-1000	62945	28044	11650	11343	25937	17500	25302	1349	184070
		47.66%	48.93%	50.90%	47.02%	49.93%	50.92%	58.08%	64.98%	49.97%
	1001-10000	31851	10179	4273	4063	9448	6352	6792	144	73102
		24.11%	17.76%	18.67%	16.84%	18.19%	18.48%	15.59%	6.94%	19.85%
	Total	132081	57309	22889	24123	51942	34370	43566	2076	368356
		35.86%	15.56%	6.21%	6.55%	14.10%	9.33%	11.83%	0.56%