LMFDB - Bianchi modular forms: statistics

The database currently contains $233{,}333$ Bianchi modular forms of weight 2 over 519 imaginary quadratic fields, and $456{,}188$ spaces of cusp forms over 763 imaginary quadratic fields, including all with class number one.

Distribution of Bianchi modular forms by base field and level norm

		level norm
		1-100	101-1000	1001-10000	10001-50000	50001-100000	100001-150000	Total
base field	$\Q(\sqrt{-3}) $	3	127	2080	11072	14445	14616	42343
	$\Q(\sqrt{-3}) $	0.01%	0.30%	4.91%	26.15%	34.11%	34.52%	18.15%
	$\Q(\sqrt{-1}) $	5	188	2967	15982	20888		40030
	$\Q(\sqrt{-1}) $	0.01%	0.47%	7.41%	39.93%	52.18%		17.16%
	$\Q(\sqrt{-7}) $	16	301	5606	29901			35824
	$\Q(\sqrt{-7}) $	0.04%	0.84%	15.65%	83.47%			15.35%
	$\Q(\sqrt{-2}) $	10	345	5884	30604			36843
	$\Q(\sqrt{-2}) $	0.03%	0.94%	15.97%	83.07%			15.79%
	$\Q(\sqrt{-11}) $	12	314	4879	25336			30541
	$\Q(\sqrt{-11}) $	0.04%	1.03%	15.98%	82.96%			13.09%
	$\Q(\sqrt{-15}) $	33	658					691
	$\Q(\sqrt{-15}) $	4.78%	95.22%					0.30%
	$\Q(\sqrt{-19}) $	11	200	2386	1386			3983
	$\Q(\sqrt{-19}) $	0.28%	5.02%	59.90%	34.80%			1.71%
	$\Q(\sqrt{-5}) $	25	635					660
	$\Q(\sqrt{-5}) $	3.79%	96.21%					0.28%
	$\Q(\sqrt{-23}) $	41	889	2813				3743
	$\Q(\sqrt{-23}) $	1.10%	23.75%	75.15%				1.60%
	$\Q(\sqrt{-6}) $	22	492					514
	$\Q(\sqrt{-6}) $	4.28%	95.72%					0.22%
	$\Q(\sqrt{-31}) $	52	759	4352				5163
	$\Q(\sqrt{-31}) $	1.01%	14.70%	84.29%				2.21%
	$\Q(\sqrt{-35}) $	31	400					431
	$\Q(\sqrt{-35}) $	7.19%	92.81%					0.18%
	$\Q(\sqrt{-39}) $	59	1123					1182
	$\Q(\sqrt{-39}) $	4.99%	95.01%					0.51%
	$\Q(\sqrt{-10}) $	26	312					338
	$\Q(\sqrt{-10}) $	7.69%	92.31%					0.14%
	$\Q(\sqrt{-43}) $	1	65	653	345			1064
	$\Q(\sqrt{-43}) $	0.09%	6.11%	61.37%	32.42%			0.46%
	$\Q(\sqrt{-47}) $	64	1224					1288
	$\Q(\sqrt{-47}) $	4.97%	95.03%					0.55%
	$\Q(\sqrt{-51}) $	37	267					304
	$\Q(\sqrt{-51}) $	12.17%	87.83%					0.13%
	$\Q(\sqrt{-13}) $	21	269					290
	$\Q(\sqrt{-13}) $	7.24%	92.76%					0.12%
	$\Q(\sqrt{-55}) $	56	807					863
	$\Q(\sqrt{-55}) $	6.49%	93.51%					0.37%
	$\Q(\sqrt{-14}) $	53	809					862
	$\Q(\sqrt{-14}) $	6.15%	93.85%					0.37%
	$\Q(\sqrt{-59}) $	38	526					564
	$\Q(\sqrt{-59}) $	6.74%	93.26%					0.24%
	$\Q(\sqrt{-67}) $	1	31	419				451
	$\Q(\sqrt{-67}) $	0.22%	6.87%	92.90%				0.19%
	$\Q(\sqrt{-17}) $	69	707					776
	$\Q(\sqrt{-17}) $	8.89%	91.11%					0.33%
	$\Q(\sqrt{-71}) $	76	1698					1774
	$\Q(\sqrt{-71}) $	4.28%	95.72%					0.76%
	$\Q(\sqrt{-79}) $	61	741					802
	$\Q(\sqrt{-79}) $	7.61%	92.39%					0.34%
	$\Q(\sqrt{-83}) $	13	289					302
	$\Q(\sqrt{-83}) $	4.30%	95.70%					0.13%
	$\Q(\sqrt{-21}) $	56	632					688
	$\Q(\sqrt{-21}) $	8.14%	91.86%					0.29%
	$\Q(\sqrt{-87}) $	97	921					1018
	$\Q(\sqrt{-87}) $	9.53%	90.47%					0.44%
	$\Q(\sqrt{-22}) $	16	193					209
	$\Q(\sqrt{-22}) $	7.66%	92.34%					0.09%
	$\Q(\sqrt{-91}) $	25	194					219
	$\Q(\sqrt{-91}) $	11.42%	88.58%					0.09%
	$\Q(\sqrt{-95}) $	68	1691					1759
	$\Q(\sqrt{-95}) $	3.87%	96.13%					0.75%
	$\Q(\sqrt{-103}) $	20	532					552
	$\Q(\sqrt{-103}) $	3.62%	96.38%					0.24%
$\Q(\sqrt{-26}) $	36	910					946
$\Q(\sqrt{-26}) $	3.81%	96.19%					0.41%
$\Q(\sqrt{-107}) $	12	254					266
$\Q(\sqrt{-107}) $	4.51%	95.49%					0.11%
$\Q(\sqrt{-111}) $	107	1281					1388
$\Q(\sqrt{-111}) $	7.71%	92.29%					0.59%
$\Q(\sqrt{-115}) $	8	110					118
$\Q(\sqrt{-115}) $	6.78%	93.22%					0.05%
$\Q(\sqrt{-119}) $	111	2046					2157
$\Q(\sqrt{-119}) $	5.15%	94.85%					0.92%
$\Q(\sqrt{-30}) $	78	484					562
$\Q(\sqrt{-30}) $	13.88%	86.12%					0.24%
$\Q(\sqrt{-123}) $	7						7
$\Q(\sqrt{-123}) $	100.00%						0.00%
$\Q(\sqrt{-127}) $	20						20
$\Q(\sqrt{-127}) $	100.00%						0.01%
$\Q(\sqrt{-131}) $	30						30
$\Q(\sqrt{-131}) $	100.00%						0.01%
$\Q(\sqrt{-33}) $	92						92
$\Q(\sqrt{-33}) $	100.00%						0.04%
$\Q(\sqrt{-34}) $	38						38
$\Q(\sqrt{-34}) $	100.00%						0.02%
$\Q(\sqrt{-139}) $	2						2
$\Q(\sqrt{-139}) $	100.00%						0.00%
$\Q(\sqrt{-143}) $	88						88
$\Q(\sqrt{-143}) $	100.00%						0.04%
$\Q(\sqrt{-37}) $	15						15
$\Q(\sqrt{-37}) $	100.00%						0.01%
$\Q(\sqrt{-151}) $	24						24
$\Q(\sqrt{-151}) $	100.00%						0.01%
$\Q(\sqrt{-38}) $	58						58
$\Q(\sqrt{-38}) $	100.00%						0.02%
$\Q(\sqrt{-155}) $	22						22
$\Q(\sqrt{-155}) $	100.00%						0.01%
$\Q(\sqrt{-159}) $	81						81
$\Q(\sqrt{-159}) $	100.00%						0.03%
$\Q(\sqrt{-163}) $		26	85				111
$\Q(\sqrt{-163}) $		23.42%	76.58%				0.05%
$\Q(\sqrt{-41}) $	47						47
$\Q(\sqrt{-41}) $	100.00%						0.02%
$\Q(\sqrt{-167}) $	96						96
$\Q(\sqrt{-167}) $	100.00%						0.04%
$\Q(\sqrt{-42}) $	62						62
$\Q(\sqrt{-42}) $	100.00%						0.03%
$\Q(\sqrt{-179}) $	16						16
$\Q(\sqrt{-179}) $	100.00%						0.01%
$\Q(\sqrt{-183}) $	65						65
$\Q(\sqrt{-183}) $	100.00%						0.03%
$\Q(\sqrt{-46}) $	20						20
$\Q(\sqrt{-46}) $	100.00%						0.01%
$\Q(\sqrt{-187}) $	10						10
$\Q(\sqrt{-187}) $	100.00%						0.00%
$\Q(\sqrt{-191}) $	82						82
$\Q(\sqrt{-191}) $	100.00%						0.04%
$\Q(\sqrt{-195}) $	45						45
$\Q(\sqrt{-195}) $	100.00%						0.02%
$\Q(\sqrt{-199}) $	34						34
$\Q(\sqrt{-199}) $	100.00%						0.01%
$\Q(\sqrt{-203}) $	17						17
$\Q(\sqrt{-203}) $	100.00%						0.01%
$\Q(\sqrt{-211}) $	2						2
$\Q(\sqrt{-211}) $	100.00%						0.00%
$\Q(\sqrt{-53}) $	79						79
$\Q(\sqrt{-53}) $	100.00%						0.03%
$\Q(\sqrt{-215}) $	74						74
$\Q(\sqrt{-215}) $	100.00%						0.03%
$\Q(\sqrt{-219}) $	37						37
$\Q(\sqrt{-219}) $	100.00%						0.02%
$\Q(\sqrt{-223}) $	22						22
$\Q(\sqrt{-223}) $	100.00%						0.01%
$\Q(\sqrt{-227}) $	30						30
$\Q(\sqrt{-227}) $	100.00%						0.01%
$\Q(\sqrt{-57}) $	104						104
$\Q(\sqrt{-57}) $	100.00%						0.04%
$\Q(\sqrt{-231}) $	104						104
$\Q(\sqrt{-231}) $	100.00%						0.04%
$\Q(\sqrt{-58}) $	12						12
$\Q(\sqrt{-58}) $	100.00%						0.01%
$\Q(\sqrt{-235}) $	10						10
$\Q(\sqrt{-235}) $	100.00%						0.00%
$\Q(\sqrt{-239}) $	60						60
$\Q(\sqrt{-239}) $	100.00%						0.03%
$\Q(\sqrt{-61}) $	27						27
$\Q(\sqrt{-61}) $	100.00%						0.01%
$\Q(\sqrt{-247}) $	24						24
$\Q(\sqrt{-247}) $	100.00%						0.01%
$\Q(\sqrt{-62}) $	44						44
$\Q(\sqrt{-62}) $	100.00%						0.02%
$\Q(\sqrt{-251}) $	18						18
$\Q(\sqrt{-251}) $	100.00%						0.01%
$\Q(\sqrt{-255}) $	101						101
$\Q(\sqrt{-255}) $	100.00%						0.04%
$\Q(\sqrt{-259}) $	43						43
$\Q(\sqrt{-259}) $	100.00%						0.02%
$\Q(\sqrt{-65}) $	141						141
$\Q(\sqrt{-65}) $	100.00%						0.06%
$\Q(\sqrt{-263}) $	42						42
$\Q(\sqrt{-263}) $	100.00%						0.02%
$\Q(\sqrt{-66}) $	76						76
$\Q(\sqrt{-66}) $	100.00%						0.03%
$\Q(\sqrt{-267}) $	11						11
$\Q(\sqrt{-267}) $	100.00%						0.00%
$\Q(\sqrt{-271}) $	62						62
$\Q(\sqrt{-271}) $	100.00%						0.03%
$\Q(\sqrt{-69}) $	38						38
$\Q(\sqrt{-69}) $	100.00%						0.02%
$\Q(\sqrt{-70}) $	53						53
$\Q(\sqrt{-70}) $	100.00%						0.02%
$\Q(\sqrt{-283}) $	2						2
$\Q(\sqrt{-283}) $	100.00%						0.00%
$\Q(\sqrt{-287}) $	75						75
$\Q(\sqrt{-287}) $	100.00%						0.03%
$\Q(\sqrt{-291}) $	9						9
$\Q(\sqrt{-291}) $	100.00%						0.00%
$\Q(\sqrt{-73}) $	27						27
$\Q(\sqrt{-73}) $	100.00%						0.01%
$\Q(\sqrt{-295}) $	48						48
$\Q(\sqrt{-295}) $	100.00%						0.02%
$\Q(\sqrt{-74}) $	40						40
$\Q(\sqrt{-74}) $	100.00%						0.02%
$\Q(\sqrt{-299}) $	24						24
$\Q(\sqrt{-299}) $	100.00%						0.01%
$\Q(\sqrt{-303}) $	29						29
$\Q(\sqrt{-303}) $	100.00%						0.01%
$\Q(\sqrt{-77}) $	64						64
$\Q(\sqrt{-77}) $	100.00%						0.03%
$\Q(\sqrt{-311}) $	62						62
$\Q(\sqrt{-311}) $	100.00%						0.03%
$\Q(\sqrt{-78}) $	42						42
$\Q(\sqrt{-78}) $	100.00%						0.02%
$\Q(\sqrt{-319}) $	14						14
$\Q(\sqrt{-319}) $	100.00%						0.01%
$\Q(\sqrt{-323}) $	48						48
$\Q(\sqrt{-323}) $	100.00%						0.02%
$\Q(\sqrt{-327}) $	53						53
$\Q(\sqrt{-327}) $	100.00%						0.02%
$\Q(\sqrt{-82}) $	24						24
$\Q(\sqrt{-82}) $	100.00%						0.01%
$\Q(\sqrt{-331}) $	6						6
$\Q(\sqrt{-331}) $	100.00%						0.00%
$\Q(\sqrt{-335}) $	70						70
$\Q(\sqrt{-335}) $	100.00%						0.03%
$\Q(\sqrt{-339}) $	19						19
$\Q(\sqrt{-339}) $	100.00%						0.01%
$\Q(\sqrt{-85}) $	45						45
$\Q(\sqrt{-85}) $	100.00%						0.02%
$\Q(\sqrt{-86}) $	56						56
$\Q(\sqrt{-86}) $	100.00%						0.02%
$\Q(\sqrt{-347}) $	14						14
$\Q(\sqrt{-347}) $	100.00%						0.01%
$\Q(\sqrt{-355}) $	20						20
$\Q(\sqrt{-355}) $	100.00%						0.01%
$\Q(\sqrt{-89}) $	85						85
$\Q(\sqrt{-89}) $	100.00%						0.04%
$\Q(\sqrt{-359}) $	90						90
$\Q(\sqrt{-359}) $	100.00%						0.04%
$\Q(\sqrt{-367}) $	14						14
$\Q(\sqrt{-367}) $	100.00%						0.01%
$\Q(\sqrt{-371}) $	33						33
$\Q(\sqrt{-371}) $	100.00%						0.01%
$\Q(\sqrt{-93}) $	34						34
$\Q(\sqrt{-93}) $	100.00%						0.01%
$\Q(\sqrt{-94}) $	32						32
$\Q(\sqrt{-94}) $	100.00%						0.01%
$\Q(\sqrt{-379}) $	2						2
$\Q(\sqrt{-379}) $	100.00%						0.00%
$\Q(\sqrt{-383}) $	42						42
$\Q(\sqrt{-383}) $	100.00%						0.02%
$\Q(\sqrt{-97}) $	19						19
$\Q(\sqrt{-97}) $	100.00%						0.01%
$\Q(\sqrt{-391}) $	66						66
$\Q(\sqrt{-391}) $	100.00%						0.03%
$\Q(\sqrt{-395}) $	30						30
$\Q(\sqrt{-395}) $	100.00%						0.01%
$\Q(\sqrt{-399}) $	146						146
$\Q(\sqrt{-399}) $	100.00%						0.06%
$\Q(\sqrt{-403}) $	4						4
$\Q(\sqrt{-403}) $	100.00%						0.00%
$\Q(\sqrt{-101}) $	51						51
$\Q(\sqrt{-101}) $	100.00%						0.02%
$\Q(\sqrt{-407}) $	108						108
$\Q(\sqrt{-407}) $	100.00%						0.05%
$\Q(\sqrt{-102}) $	38						38
$\Q(\sqrt{-102}) $	100.00%						0.02%
$\Q(\sqrt{-411}) $	15						15
$\Q(\sqrt{-411}) $	100.00%						0.01%
$\Q(\sqrt{-415}) $	24						24
$\Q(\sqrt{-415}) $	100.00%						0.01%
$\Q(\sqrt{-419}) $	10						10
$\Q(\sqrt{-419}) $	100.00%						0.00%
$\Q(\sqrt{-105}) $	220						220
$\Q(\sqrt{-105}) $	100.00%						0.09%
$\Q(\sqrt{-106}) $	26						26
$\Q(\sqrt{-106}) $	100.00%						0.01%
$\Q(\sqrt{-427}) $	7						7
$\Q(\sqrt{-427}) $	100.00%						0.00%
$\Q(\sqrt{-431}) $	118						118
$\Q(\sqrt{-431}) $	100.00%						0.05%
$\Q(\sqrt{-435}) $	29						29
$\Q(\sqrt{-435}) $	100.00%						0.01%
$\Q(\sqrt{-109}) $	17						17
$\Q(\sqrt{-109}) $	100.00%						0.01%
$\Q(\sqrt{-439}) $	10						10
$\Q(\sqrt{-439}) $	100.00%						0.00%
$\Q(\sqrt{-110}) $	76						76
$\Q(\sqrt{-110}) $	100.00%						0.03%
$\Q(\sqrt{-443}) $	4						4
$\Q(\sqrt{-443}) $	100.00%						0.00%
$\Q(\sqrt{-447}) $	31						31
$\Q(\sqrt{-447}) $	100.00%						0.01%
$\Q(\sqrt{-451}) $	10						10
$\Q(\sqrt{-451}) $	100.00%						0.00%
$\Q(\sqrt{-113}) $	67						67
$\Q(\sqrt{-113}) $	100.00%						0.03%
$\Q(\sqrt{-455}) $	103						103
$\Q(\sqrt{-455}) $	100.00%						0.04%
$\Q(\sqrt{-114}) $	82						82
$\Q(\sqrt{-114}) $	100.00%						0.04%
$\Q(\sqrt{-463}) $	4						4
$\Q(\sqrt{-463}) $	100.00%						0.00%
$\Q(\sqrt{-467}) $	8						8
$\Q(\sqrt{-467}) $	100.00%						0.00%
$\Q(\sqrt{-471}) $	39						39
$\Q(\sqrt{-471}) $	100.00%						0.02%
$\Q(\sqrt{-118}) $	12						12
$\Q(\sqrt{-118}) $	100.00%						0.01%
$\Q(\sqrt{-479}) $	92						92
$\Q(\sqrt{-479}) $	100.00%						0.04%
$\Q(\sqrt{-483}) $	28						28
$\Q(\sqrt{-483}) $	100.00%						0.01%
$\Q(\sqrt{-487}) $	10						10
$\Q(\sqrt{-487}) $	100.00%						0.00%
$\Q(\sqrt{-122}) $	28						28
$\Q(\sqrt{-122}) $	100.00%						0.01%
$\Q(\sqrt{-491}) $	10						10
$\Q(\sqrt{-491}) $	100.00%						0.00%
$\Q(\sqrt{-503}) $	126						126
$\Q(\sqrt{-503}) $	100.00%						0.05%
$\Q(\sqrt{-511}) $	43						43
$\Q(\sqrt{-511}) $	100.00%						0.02%
$\Q(\sqrt{-515}) $	14						14
$\Q(\sqrt{-515}) $	100.00%						0.01%
$\Q(\sqrt{-129}) $	88						88
$\Q(\sqrt{-129}) $	100.00%						0.04%
$\Q(\sqrt{-519}) $	45						45
$\Q(\sqrt{-519}) $	100.00%						0.02%
$\Q(\sqrt{-130}) $	48						48
$\Q(\sqrt{-130}) $	100.00%						0.02%
$\Q(\sqrt{-523}) $	2						2
$\Q(\sqrt{-523}) $	100.00%						0.00%
$\Q(\sqrt{-527}) $	56						56
$\Q(\sqrt{-527}) $	100.00%						0.02%
$\Q(\sqrt{-133}) $	44						44
$\Q(\sqrt{-133}) $	100.00%						0.02%
$\Q(\sqrt{-535}) $	14						14
$\Q(\sqrt{-535}) $	100.00%						0.01%
$\Q(\sqrt{-134}) $	68						68
$\Q(\sqrt{-134}) $	100.00%						0.03%
$\Q(\sqrt{-543}) $	21						21
$\Q(\sqrt{-543}) $	100.00%						0.01%
$\Q(\sqrt{-547}) $	2						2
$\Q(\sqrt{-547}) $	100.00%						0.00%
$\Q(\sqrt{-137}) $	23						23
$\Q(\sqrt{-137}) $	100.00%						0.01%
$\Q(\sqrt{-551}) $	94						94
$\Q(\sqrt{-551}) $	100.00%						0.04%
$\Q(\sqrt{-138}) $	40						40
$\Q(\sqrt{-138}) $	100.00%						0.02%
$\Q(\sqrt{-555}) $	29						29
$\Q(\sqrt{-555}) $	100.00%						0.01%
$\Q(\sqrt{-559}) $	34						34
$\Q(\sqrt{-559}) $	100.00%						0.01%
$\Q(\sqrt{-563}) $	20						20
$\Q(\sqrt{-563}) $	100.00%						0.01%
$\Q(\sqrt{-141}) $	26						26
$\Q(\sqrt{-141}) $	100.00%						0.01%
$\Q(\sqrt{-142}) $	22						22
$\Q(\sqrt{-142}) $	100.00%						0.01%
$\Q(\sqrt{-571}) $	2						2
$\Q(\sqrt{-571}) $	100.00%						0.00%
$\Q(\sqrt{-579}) $	17						17
$\Q(\sqrt{-579}) $	100.00%						0.01%
$\Q(\sqrt{-145}) $	82						82
$\Q(\sqrt{-145}) $	100.00%						0.04%
$\Q(\sqrt{-583}) $	42						42
$\Q(\sqrt{-583}) $	100.00%						0.02%
$\Q(\sqrt{-146}) $	44						44
$\Q(\sqrt{-146}) $	100.00%						0.02%
$\Q(\sqrt{-587}) $	8						8
$\Q(\sqrt{-587}) $	100.00%						0.00%
$\Q(\sqrt{-591}) $	51						51
$\Q(\sqrt{-591}) $	100.00%						0.02%
$\Q(\sqrt{-595}) $	37						37
$\Q(\sqrt{-595}) $	100.00%						0.02%
$\Q(\sqrt{-149}) $	23						23
$\Q(\sqrt{-149}) $	100.00%						0.01%
$\Q(\sqrt{-599}) $	52						52
$\Q(\sqrt{-599}) $	100.00%						0.02%
$\Q(\sqrt{-607}) $	8						8
$\Q(\sqrt{-607}) $	100.00%						0.00%
$\Q(\sqrt{-611}) $	36						36
$\Q(\sqrt{-611}) $	100.00%						0.02%
$\Q(\sqrt{-615}) $	69						69
$\Q(\sqrt{-615}) $	100.00%						0.03%
$\Q(\sqrt{-154}) $	76						76
$\Q(\sqrt{-154}) $	100.00%						0.03%
$\Q(\sqrt{-619}) $	2						2
$\Q(\sqrt{-619}) $	100.00%						0.00%
$\Q(\sqrt{-623}) $	59						59
$\Q(\sqrt{-623}) $	100.00%						0.03%
$\Q(\sqrt{-627}) $	42						42
$\Q(\sqrt{-627}) $	100.00%						0.02%
$\Q(\sqrt{-157}) $	9						9
$\Q(\sqrt{-157}) $	100.00%						0.00%
$\Q(\sqrt{-631}) $	20						20
$\Q(\sqrt{-631}) $	100.00%						0.01%
$\Q(\sqrt{-158}) $	24						24
$\Q(\sqrt{-158}) $	100.00%						0.01%
$\Q(\sqrt{-635}) $	18						18
$\Q(\sqrt{-635}) $	100.00%						0.01%
$\Q(\sqrt{-643}) $	8						8
$\Q(\sqrt{-643}) $	100.00%						0.00%
$\Q(\sqrt{-161}) $	64						64
$\Q(\sqrt{-161}) $	100.00%						0.03%
$\Q(\sqrt{-647}) $	30						30
$\Q(\sqrt{-647}) $	100.00%						0.01%
$\Q(\sqrt{-651}) $	40						40
$\Q(\sqrt{-651}) $	100.00%						0.02%
$\Q(\sqrt{-655}) $	26						26
$\Q(\sqrt{-655}) $	100.00%						0.01%
$\Q(\sqrt{-659}) $	6						6
$\Q(\sqrt{-659}) $	100.00%						0.00%
$\Q(\sqrt{-165}) $	153						153
$\Q(\sqrt{-165}) $	100.00%						0.07%
$\Q(\sqrt{-663}) $	73						73
$\Q(\sqrt{-663}) $	100.00%						0.03%
$\Q(\sqrt{-166}) $	14						14
$\Q(\sqrt{-166}) $	100.00%						0.01%
$\Q(\sqrt{-667}) $	8						8
$\Q(\sqrt{-667}) $	100.00%						0.00%
$\Q(\sqrt{-671}) $	98						98
$\Q(\sqrt{-671}) $	100.00%						0.04%
$\Q(\sqrt{-679}) $	37						37
$\Q(\sqrt{-679}) $	100.00%						0.02%
$\Q(\sqrt{-170}) $	84						84
$\Q(\sqrt{-170}) $	100.00%						0.04%
$\Q(\sqrt{-683}) $	6						6
$\Q(\sqrt{-683}) $	100.00%						0.00%
$\Q(\sqrt{-687}) $	55						55
$\Q(\sqrt{-687}) $	100.00%						0.02%
$\Q(\sqrt{-691}) $	6						6
$\Q(\sqrt{-691}) $	100.00%						0.00%
$\Q(\sqrt{-173}) $	29						29
$\Q(\sqrt{-173}) $	100.00%						0.01%
$\Q(\sqrt{-695}) $	58						58
$\Q(\sqrt{-695}) $	100.00%						0.02%
$\Q(\sqrt{-174}) $	46						46
$\Q(\sqrt{-174}) $	100.00%						0.02%
$\Q(\sqrt{-699}) $	11						11
$\Q(\sqrt{-699}) $	100.00%						0.00%
$\Q(\sqrt{-703}) $	32						32
$\Q(\sqrt{-703}) $	100.00%						0.01%
$\Q(\sqrt{-707}) $	17						17
$\Q(\sqrt{-707}) $	100.00%						0.01%
$\Q(\sqrt{-177}) $	54						54
$\Q(\sqrt{-177}) $	100.00%						0.02%
$\Q(\sqrt{-178}) $	28						28
$\Q(\sqrt{-178}) $	100.00%						0.01%
$\Q(\sqrt{-715}) $	36						36
$\Q(\sqrt{-715}) $	100.00%						0.02%
$\Q(\sqrt{-719}) $	100						100
$\Q(\sqrt{-719}) $	100.00%						0.04%
$\Q(\sqrt{-723}) $	7						7
$\Q(\sqrt{-723}) $	100.00%						0.00%
$\Q(\sqrt{-181}) $	23						23
$\Q(\sqrt{-181}) $	100.00%						0.01%
$\Q(\sqrt{-727}) $	4						4
$\Q(\sqrt{-727}) $	100.00%						0.00%
$\Q(\sqrt{-182}) $	57						57
$\Q(\sqrt{-182}) $	100.00%						0.02%
$\Q(\sqrt{-731}) $	28						28
$\Q(\sqrt{-731}) $	100.00%						0.01%
$\Q(\sqrt{-739}) $	2						2
$\Q(\sqrt{-739}) $	100.00%						0.00%
$\Q(\sqrt{-185}) $	73						73
$\Q(\sqrt{-185}) $	100.00%						0.03%
$\Q(\sqrt{-743}) $	22						22
$\Q(\sqrt{-743}) $	100.00%						0.01%
$\Q(\sqrt{-186}) $	48						48
$\Q(\sqrt{-186}) $	100.00%						0.02%
$\Q(\sqrt{-751}) $	16						16
$\Q(\sqrt{-751}) $	100.00%						0.01%
$\Q(\sqrt{-755}) $	14						14
$\Q(\sqrt{-755}) $	100.00%						0.01%
$\Q(\sqrt{-759}) $	142						142
$\Q(\sqrt{-759}) $	100.00%						0.06%
$\Q(\sqrt{-190}) $	48						48
$\Q(\sqrt{-190}) $	100.00%						0.02%
$\Q(\sqrt{-763}) $	9						9
$\Q(\sqrt{-763}) $	100.00%						0.00%
$\Q(\sqrt{-767}) $	28						28
$\Q(\sqrt{-767}) $	100.00%						0.01%
$\Q(\sqrt{-771}) $	9						9
$\Q(\sqrt{-771}) $	100.00%						0.00%
$\Q(\sqrt{-193}) $	19						19
$\Q(\sqrt{-193}) $	100.00%						0.01%
$\Q(\sqrt{-194}) $	60						60
$\Q(\sqrt{-194}) $	100.00%						0.03%
$\Q(\sqrt{-779}) $	12						12
$\Q(\sqrt{-779}) $	100.00%						0.01%
$\Q(\sqrt{-197}) $	11						11
$\Q(\sqrt{-197}) $	100.00%						0.00%
$\Q(\sqrt{-791}) $	85						85
$\Q(\sqrt{-791}) $	100.00%						0.04%
$\Q(\sqrt{-795}) $	25						25
$\Q(\sqrt{-795}) $	100.00%						0.01%
$\Q(\sqrt{-799}) $	36						36
$\Q(\sqrt{-799}) $	100.00%						0.02%
$\Q(\sqrt{-803}) $	12						12
$\Q(\sqrt{-803}) $	100.00%						0.01%
$\Q(\sqrt{-201}) $	68						68
$\Q(\sqrt{-201}) $	100.00%						0.03%
$\Q(\sqrt{-807}) $	21						21
$\Q(\sqrt{-807}) $	100.00%						0.01%
$\Q(\sqrt{-202}) $	10						10
$\Q(\sqrt{-202}) $	100.00%						0.00%
$\Q(\sqrt{-815}) $	112						112
$\Q(\sqrt{-815}) $	100.00%						0.05%
$\Q(\sqrt{-205}) $	78						78
$\Q(\sqrt{-205}) $	100.00%						0.03%
$\Q(\sqrt{-823}) $	12						12
$\Q(\sqrt{-823}) $	100.00%						0.01%
$\Q(\sqrt{-206}) $	34						34
$\Q(\sqrt{-206}) $	100.00%						0.01%
$\Q(\sqrt{-827}) $	2						2
$\Q(\sqrt{-827}) $	100.00%						0.00%
$\Q(\sqrt{-831}) $	45						45
$\Q(\sqrt{-831}) $	100.00%						0.02%
$\Q(\sqrt{-835}) $	10						10
$\Q(\sqrt{-835}) $	100.00%						0.00%
$\Q(\sqrt{-209}) $	74						74
$\Q(\sqrt{-209}) $	100.00%						0.03%
$\Q(\sqrt{-839}) $	64						64
$\Q(\sqrt{-839}) $	100.00%						0.03%
$\Q(\sqrt{-210}) $	153						153
$\Q(\sqrt{-210}) $	100.00%						0.07%
$\Q(\sqrt{-843}) $	11						11
$\Q(\sqrt{-843}) $	100.00%						0.00%
$\Q(\sqrt{-851}) $	38						38
$\Q(\sqrt{-851}) $	100.00%						0.02%
$\Q(\sqrt{-213}) $	22						22
$\Q(\sqrt{-213}) $	100.00%						0.01%
$\Q(\sqrt{-214}) $	8						8
$\Q(\sqrt{-214}) $	100.00%						0.00%
$\Q(\sqrt{-859}) $	2						2
$\Q(\sqrt{-859}) $	100.00%						0.00%
$\Q(\sqrt{-863}) $	18						18
$\Q(\sqrt{-863}) $	100.00%						0.01%
$\Q(\sqrt{-217}) $	64						64
$\Q(\sqrt{-217}) $	100.00%						0.03%
$\Q(\sqrt{-871}) $	34						34
$\Q(\sqrt{-871}) $	100.00%						0.01%
$\Q(\sqrt{-218}) $	16						16
$\Q(\sqrt{-218}) $	100.00%						0.01%
$\Q(\sqrt{-879}) $	35						35
$\Q(\sqrt{-879}) $	100.00%						0.02%
$\Q(\sqrt{-883}) $	2						2
$\Q(\sqrt{-883}) $	100.00%						0.00%
$\Q(\sqrt{-221}) $	94						94
$\Q(\sqrt{-221}) $	100.00%						0.04%
$\Q(\sqrt{-887}) $	54						54
$\Q(\sqrt{-887}) $	100.00%						0.02%
$\Q(\sqrt{-222}) $	46						46
$\Q(\sqrt{-222}) $	100.00%						0.02%
$\Q(\sqrt{-895}) $	42						42
$\Q(\sqrt{-895}) $	100.00%						0.02%
$\Q(\sqrt{-899}) $	8						8
$\Q(\sqrt{-899}) $	100.00%						0.00%
$\Q(\sqrt{-903}) $	96						96
$\Q(\sqrt{-903}) $	100.00%						0.04%
$\Q(\sqrt{-226}) $	38						38
$\Q(\sqrt{-226}) $	100.00%						0.02%
$\Q(\sqrt{-907}) $	2						2
$\Q(\sqrt{-907}) $	100.00%						0.00%
$\Q(\sqrt{-911}) $	48						48
$\Q(\sqrt{-911}) $	100.00%						0.02%
$\Q(\sqrt{-915}) $	85						85
$\Q(\sqrt{-915}) $	100.00%						0.04%
$\Q(\sqrt{-229}) $	27						27
$\Q(\sqrt{-229}) $	100.00%						0.01%
$\Q(\sqrt{-919}) $	20						20
$\Q(\sqrt{-919}) $	100.00%						0.01%
$\Q(\sqrt{-230}) $	100						100
$\Q(\sqrt{-230}) $	100.00%						0.04%
$\Q(\sqrt{-923}) $	4						4
$\Q(\sqrt{-923}) $	100.00%						0.00%
$\Q(\sqrt{-233}) $	23						23
$\Q(\sqrt{-233}) $	100.00%						0.01%
$\Q(\sqrt{-935}) $	76						76
$\Q(\sqrt{-935}) $	100.00%						0.03%
$\Q(\sqrt{-939}) $	15						15
$\Q(\sqrt{-939}) $	100.00%						0.01%
$\Q(\sqrt{-943}) $	24						24
$\Q(\sqrt{-943}) $	100.00%						0.01%
$\Q(\sqrt{-947}) $	2						2
$\Q(\sqrt{-947}) $	100.00%						0.00%
$\Q(\sqrt{-237}) $	50						50
$\Q(\sqrt{-237}) $	100.00%						0.02%
$\Q(\sqrt{-951}) $	15						15
$\Q(\sqrt{-951}) $	100.00%						0.01%
$\Q(\sqrt{-238}) $	49						49
$\Q(\sqrt{-238}) $	100.00%						0.02%
$\Q(\sqrt{-955}) $	14						14
$\Q(\sqrt{-955}) $	100.00%						0.01%
$\Q(\sqrt{-959}) $	123						123
$\Q(\sqrt{-959}) $	100.00%						0.05%
$\Q(\sqrt{-241}) $	23						23
$\Q(\sqrt{-241}) $	100.00%						0.01%
$\Q(\sqrt{-967}) $	4						4
$\Q(\sqrt{-967}) $	100.00%						0.00%
$\Q(\sqrt{-971}) $	6						6
$\Q(\sqrt{-971}) $	100.00%						0.00%
$\Q(\sqrt{-979}) $	26						26
$\Q(\sqrt{-979}) $	100.00%						0.01%
$\Q(\sqrt{-983}) $	30						30
$\Q(\sqrt{-983}) $	100.00%						0.01%
$\Q(\sqrt{-246}) $	46						46
$\Q(\sqrt{-246}) $	100.00%						0.02%
$\Q(\sqrt{-987}) $	36						36
$\Q(\sqrt{-987}) $	100.00%						0.02%
$\Q(\sqrt{-991}) $	12						12
$\Q(\sqrt{-991}) $	100.00%						0.01%
$\Q(\sqrt{-995}) $	18						18
$\Q(\sqrt{-995}) $	100.00%						0.01%
$\Q(\sqrt{-249}) $	70						70
$\Q(\sqrt{-249}) $	100.00%						0.03%
$\Q(\sqrt{-1003}) $	4						4
$\Q(\sqrt{-1003}) $	100.00%						0.00%
$\Q(\sqrt{-1007}) $	2						2
$\Q(\sqrt{-1007}) $	100.00%						0.00%
$\Q(\sqrt{-1011}) $	2						2
$\Q(\sqrt{-1011}) $	100.00%						0.00%
$\Q(\sqrt{-253}) $	4						4
$\Q(\sqrt{-253}) $	100.00%						0.00%
$\Q(\sqrt{-1015}) $	4						4
$\Q(\sqrt{-1015}) $	100.00%						0.00%
$\Q(\sqrt{-254}) $	6						6
$\Q(\sqrt{-254}) $	100.00%						0.00%
$\Q(\sqrt{-1019}) $	2						2
$\Q(\sqrt{-1019}) $	100.00%						0.00%
$\Q(\sqrt{-1023}) $	6						6
$\Q(\sqrt{-1023}) $	100.00%						0.00%
$\Q(\sqrt{-1027}) $	2						2
$\Q(\sqrt{-1027}) $	100.00%						0.00%
$\Q(\sqrt{-257}) $	2						2
$\Q(\sqrt{-257}) $	100.00%						0.00%
$\Q(\sqrt{-258}) $	2						2
$\Q(\sqrt{-258}) $	100.00%						0.00%
$\Q(\sqrt{-1047}) $	4						4
$\Q(\sqrt{-1047}) $	100.00%						0.00%
$\Q(\sqrt{-1055}) $	12						12
$\Q(\sqrt{-1055}) $	100.00%						0.01%
$\Q(\sqrt{-265}) $	8						8
$\Q(\sqrt{-265}) $	100.00%						0.00%
$\Q(\sqrt{-266}) $	8						8
$\Q(\sqrt{-266}) $	100.00%						0.00%
$\Q(\sqrt{-1067}) $	8						8
$\Q(\sqrt{-1067}) $	100.00%						0.00%
$\Q(\sqrt{-269}) $	4						4
$\Q(\sqrt{-269}) $	100.00%						0.00%
$\Q(\sqrt{-1091}) $	2						2
$\Q(\sqrt{-1091}) $	100.00%						0.00%
$\Q(\sqrt{-273}) $	32						32
$\Q(\sqrt{-273}) $	100.00%						0.01%
$\Q(\sqrt{-1095}) $	4						4
$\Q(\sqrt{-1095}) $	100.00%						0.00%
$\Q(\sqrt{-1103}) $	4						4
$\Q(\sqrt{-1103}) $	100.00%						0.00%
$\Q(\sqrt{-1111}) $	6						6
$\Q(\sqrt{-1111}) $	100.00%						0.00%
$\Q(\sqrt{-1131}) $	8						8
$\Q(\sqrt{-1131}) $	100.00%						0.00%
$\Q(\sqrt{-1139}) $	8						8
$\Q(\sqrt{-1139}) $	100.00%						0.00%
$\Q(\sqrt{-285}) $	8						8
$\Q(\sqrt{-285}) $	100.00%						0.00%
$\Q(\sqrt{-286}) $	4						4
$\Q(\sqrt{-286}) $	100.00%						0.00%
$\Q(\sqrt{-1155}) $	16						16
$\Q(\sqrt{-1155}) $	100.00%						0.01%
$\Q(\sqrt{-1159}) $	6						6
$\Q(\sqrt{-1159}) $	100.00%						0.00%
$\Q(\sqrt{-290}) $	2						2
$\Q(\sqrt{-290}) $	100.00%						0.00%
$\Q(\sqrt{-1163}) $	2						2
$\Q(\sqrt{-1163}) $	100.00%						0.00%
$\Q(\sqrt{-293}) $	4						4
$\Q(\sqrt{-293}) $	100.00%						0.00%
$\Q(\sqrt{-1187}) $	2						2
$\Q(\sqrt{-1187}) $	100.00%						0.00%
$\Q(\sqrt{-1191}) $	6						6
$\Q(\sqrt{-1191}) $	100.00%						0.00%
$\Q(\sqrt{-1199}) $	2						2
$\Q(\sqrt{-1199}) $	100.00%						0.00%
$\Q(\sqrt{-1203}) $	4						4
$\Q(\sqrt{-1203}) $	100.00%						0.00%
$\Q(\sqrt{-301}) $	4						4
$\Q(\sqrt{-301}) $	100.00%						0.00%
$\Q(\sqrt{-302}) $	2						2
$\Q(\sqrt{-302}) $	100.00%						0.00%
$\Q(\sqrt{-1211}) $	2						2
$\Q(\sqrt{-1211}) $	100.00%						0.00%
$\Q(\sqrt{-1231}) $	2						2
$\Q(\sqrt{-1231}) $	100.00%						0.00%
$\Q(\sqrt{-1243}) $	2						2
$\Q(\sqrt{-1243}) $	100.00%						0.00%
$\Q(\sqrt{-1247}) $	2						2
$\Q(\sqrt{-1247}) $	100.00%						0.00%
$\Q(\sqrt{-313}) $	2						2
$\Q(\sqrt{-313}) $	100.00%						0.00%
$\Q(\sqrt{-314}) $	4						4
$\Q(\sqrt{-314}) $	100.00%						0.00%
$\Q(\sqrt{-1259}) $	2						2
$\Q(\sqrt{-1259}) $	100.00%						0.00%
$\Q(\sqrt{-1263}) $	10						10
$\Q(\sqrt{-1263}) $	100.00%						0.00%
$\Q(\sqrt{-1271}) $	2						2
$\Q(\sqrt{-1271}) $	100.00%						0.00%
$\Q(\sqrt{-321}) $	4						4
$\Q(\sqrt{-321}) $	100.00%						0.00%
$\Q(\sqrt{-322}) $	4						4
$\Q(\sqrt{-322}) $	100.00%						0.00%
$\Q(\sqrt{-1295}) $	2						2
$\Q(\sqrt{-1295}) $	100.00%						0.00%
$\Q(\sqrt{-1299}) $	2						2
$\Q(\sqrt{-1299}) $	100.00%						0.00%
$\Q(\sqrt{-326}) $	2						2
$\Q(\sqrt{-326}) $	100.00%						0.00%
$\Q(\sqrt{-329}) $	8						8
$\Q(\sqrt{-329}) $	100.00%						0.00%
$\Q(\sqrt{-1319}) $	4						4
$\Q(\sqrt{-1319}) $	100.00%						0.00%
$\Q(\sqrt{-330}) $	16						16
$\Q(\sqrt{-330}) $	100.00%						0.01%
$\Q(\sqrt{-1335}) $	4						4
$\Q(\sqrt{-1335}) $	100.00%						0.00%
$\Q(\sqrt{-334}) $	6						6
$\Q(\sqrt{-334}) $	100.00%						0.00%
$\Q(\sqrt{-1339}) $	2						2
$\Q(\sqrt{-1339}) $	100.00%						0.00%
$\Q(\sqrt{-1343}) $	4						4
$\Q(\sqrt{-1343}) $	100.00%						0.00%
$\Q(\sqrt{-1351}) $	4						4
$\Q(\sqrt{-1351}) $	100.00%						0.00%
$\Q(\sqrt{-341}) $	8						8
$\Q(\sqrt{-341}) $	100.00%						0.00%
$\Q(\sqrt{-1371}) $	4						4
$\Q(\sqrt{-1371}) $	100.00%						0.00%
$\Q(\sqrt{-345}) $	8						8
$\Q(\sqrt{-345}) $	100.00%						0.00%
$\Q(\sqrt{-1387}) $	2						2
$\Q(\sqrt{-1387}) $	100.00%						0.00%
$\Q(\sqrt{-1391}) $	6						6
$\Q(\sqrt{-1391}) $	100.00%						0.00%
$\Q(\sqrt{-1407}) $	2						2
$\Q(\sqrt{-1407}) $	100.00%						0.00%
$\Q(\sqrt{-1411}) $	4						4
$\Q(\sqrt{-1411}) $	100.00%						0.00%
$\Q(\sqrt{-353}) $	4						4
$\Q(\sqrt{-353}) $	100.00%						0.00%
$\Q(\sqrt{-354}) $	12						12
$\Q(\sqrt{-354}) $	100.00%						0.01%
$\Q(\sqrt{-1419}) $	4						4
$\Q(\sqrt{-1419}) $	100.00%						0.00%
$\Q(\sqrt{-357}) $	8						8
$\Q(\sqrt{-357}) $	100.00%						0.00%
$\Q(\sqrt{-1439}) $	2						2
$\Q(\sqrt{-1439}) $	100.00%						0.00%
$\Q(\sqrt{-362}) $	4						4
$\Q(\sqrt{-362}) $	100.00%						0.00%
$\Q(\sqrt{-1455}) $	4						4
$\Q(\sqrt{-1455}) $	100.00%						0.00%
$\Q(\sqrt{-1463}) $	4						4
$\Q(\sqrt{-1463}) $	100.00%						0.00%
$\Q(\sqrt{-1487}) $	2						2
$\Q(\sqrt{-1487}) $	100.00%						0.00%
$\Q(\sqrt{-374}) $	6						6
$\Q(\sqrt{-374}) $	100.00%						0.00%
$\Q(\sqrt{-1507}) $	2						2
$\Q(\sqrt{-1507}) $	100.00%						0.00%
$\Q(\sqrt{-1515}) $	4						4
$\Q(\sqrt{-1515}) $	100.00%						0.00%
$\Q(\sqrt{-1527}) $	4						4
$\Q(\sqrt{-1527}) $	100.00%						0.00%
$\Q(\sqrt{-382}) $	2						2
$\Q(\sqrt{-382}) $	100.00%						0.00%
$\Q(\sqrt{-385}) $	16						16
$\Q(\sqrt{-385}) $	100.00%						0.01%
$\Q(\sqrt{-386}) $	10						10
$\Q(\sqrt{-386}) $	100.00%						0.00%
$\Q(\sqrt{-1547}) $	8						8
$\Q(\sqrt{-1547}) $	100.00%						0.00%
$\Q(\sqrt{-1551}) $	28						28
$\Q(\sqrt{-1551}) $	100.00%						0.01%
$\Q(\sqrt{-1559}) $	6						6
$\Q(\sqrt{-1559}) $	100.00%						0.00%
$\Q(\sqrt{-390}) $	8						8
$\Q(\sqrt{-390}) $	100.00%						0.00%
$\Q(\sqrt{-393}) $	8						8
$\Q(\sqrt{-393}) $	100.00%						0.00%
$\Q(\sqrt{-1583}) $	2						2
$\Q(\sqrt{-1583}) $	100.00%						0.00%
$\Q(\sqrt{-397}) $	4						4
$\Q(\sqrt{-397}) $	100.00%						0.00%
$\Q(\sqrt{-398}) $	6						6
$\Q(\sqrt{-398}) $	100.00%						0.00%
$\Q(\sqrt{-1595}) $	4						4
$\Q(\sqrt{-1595}) $	100.00%						0.00%
$\Q(\sqrt{-401}) $	2						2
$\Q(\sqrt{-401}) $	100.00%						0.00%
$\Q(\sqrt{-1607}) $	4						4
$\Q(\sqrt{-1607}) $	100.00%						0.00%
$\Q(\sqrt{-402}) $	2						2
$\Q(\sqrt{-402}) $	100.00%						0.00%
$\Q(\sqrt{-1615}) $	4						4
$\Q(\sqrt{-1615}) $	100.00%						0.00%
$\Q(\sqrt{-1619}) $	2						2
$\Q(\sqrt{-1619}) $	100.00%						0.00%
$\Q(\sqrt{-406}) $	4						4
$\Q(\sqrt{-406}) $	100.00%						0.00%
$\Q(\sqrt{-1631}) $	4						4
$\Q(\sqrt{-1631}) $	100.00%						0.00%
$\Q(\sqrt{-1635}) $	12						12
$\Q(\sqrt{-1635}) $	100.00%						0.01%
$\Q(\sqrt{-1639}) $	2						2
$\Q(\sqrt{-1639}) $	100.00%						0.00%
$\Q(\sqrt{-410}) $	8						8
$\Q(\sqrt{-410}) $	100.00%						0.00%
$\Q(\sqrt{-1651}) $	2						2
$\Q(\sqrt{-1651}) $	100.00%						0.00%
$\Q(\sqrt{-413}) $	4						4
$\Q(\sqrt{-413}) $	100.00%						0.00%
$\Q(\sqrt{-1655}) $	4						4
$\Q(\sqrt{-1655}) $	100.00%						0.00%
$\Q(\sqrt{-1659}) $	2						2
$\Q(\sqrt{-1659}) $	100.00%						0.00%
$\Q(\sqrt{-1671}) $	4						4
$\Q(\sqrt{-1671}) $	100.00%						0.00%
$\Q(\sqrt{-418}) $	4						4
$\Q(\sqrt{-418}) $	100.00%						0.00%
$\Q(\sqrt{-1679}) $	2						2
$\Q(\sqrt{-1679}) $	100.00%						0.00%
$\Q(\sqrt{-1691}) $	2						2
$\Q(\sqrt{-1691}) $	100.00%						0.00%
$\Q(\sqrt{-1695}) $	4						4
$\Q(\sqrt{-1695}) $	100.00%						0.00%
$\Q(\sqrt{-1703}) $	10						10
$\Q(\sqrt{-1703}) $	100.00%						0.00%
$\Q(\sqrt{-1711}) $	2						2
$\Q(\sqrt{-1711}) $	100.00%						0.00%
$\Q(\sqrt{-429}) $	8						8
$\Q(\sqrt{-429}) $	100.00%						0.00%
$\Q(\sqrt{-1727}) $	18						18
$\Q(\sqrt{-1727}) $	100.00%						0.01%
$\Q(\sqrt{-1731}) $	4						4
$\Q(\sqrt{-1731}) $	100.00%						0.00%
$\Q(\sqrt{-433}) $	2						2
$\Q(\sqrt{-433}) $	100.00%						0.00%
$\Q(\sqrt{-434}) $	12						12
$\Q(\sqrt{-434}) $	100.00%						0.01%
$\Q(\sqrt{-1739}) $	8						8
$\Q(\sqrt{-1739}) $	100.00%						0.00%
$\Q(\sqrt{-1743}) $	8						8
$\Q(\sqrt{-1743}) $	100.00%						0.00%
$\Q(\sqrt{-1751}) $	4						4
$\Q(\sqrt{-1751}) $	100.00%						0.00%
$\Q(\sqrt{-438}) $	4						4
$\Q(\sqrt{-438}) $	100.00%						0.00%
$\Q(\sqrt{-1763}) $	2						2
$\Q(\sqrt{-1763}) $	100.00%						0.00%
$\Q(\sqrt{-1767}) $	8						8
$\Q(\sqrt{-1767}) $	100.00%						0.00%
$\Q(\sqrt{-442}) $	16						16
$\Q(\sqrt{-442}) $	100.00%						0.01%
$\Q(\sqrt{-1771}) $	4						4
$\Q(\sqrt{-1771}) $	100.00%						0.00%
$\Q(\sqrt{-445}) $	8						8
$\Q(\sqrt{-445}) $	100.00%						0.00%
$\Q(\sqrt{-446}) $	10						10
$\Q(\sqrt{-446}) $	100.00%						0.00%
$\Q(\sqrt{-1799}) $	2						2
$\Q(\sqrt{-1799}) $	100.00%						0.00%
$\Q(\sqrt{-1803}) $	6						6
$\Q(\sqrt{-1803}) $	100.00%						0.00%
$\Q(\sqrt{-1807}) $	2						2
$\Q(\sqrt{-1807}) $	100.00%						0.00%
$\Q(\sqrt{-1811}) $	2						2
$\Q(\sqrt{-1811}) $	100.00%						0.00%
$\Q(\sqrt{-457}) $	2						2
$\Q(\sqrt{-457}) $	100.00%						0.00%
$\Q(\sqrt{-461}) $	4						4
$\Q(\sqrt{-461}) $	100.00%						0.00%
$\Q(\sqrt{-1847}) $	2						2
$\Q(\sqrt{-1847}) $	100.00%						0.00%
$\Q(\sqrt{-462}) $	16						16
$\Q(\sqrt{-462}) $	100.00%						0.01%
$\Q(\sqrt{-465}) $	16						16
$\Q(\sqrt{-465}) $	100.00%						0.01%
$\Q(\sqrt{-466}) $	2						2
$\Q(\sqrt{-466}) $	100.00%						0.00%
$\Q(\sqrt{-469}) $	4						4
$\Q(\sqrt{-469}) $	100.00%						0.00%
$\Q(\sqrt{-1879}) $	4						4
$\Q(\sqrt{-1879}) $	100.00%						0.00%
$\Q(\sqrt{-1883}) $	2						2
$\Q(\sqrt{-1883}) $	100.00%						0.00%
$\Q(\sqrt{-473}) $	12						12
$\Q(\sqrt{-473}) $	100.00%						0.01%
$\Q(\sqrt{-1903}) $	2						2
$\Q(\sqrt{-1903}) $	100.00%						0.00%
$\Q(\sqrt{-478}) $	2						2
$\Q(\sqrt{-478}) $	100.00%						0.00%
$\Q(\sqrt{-1919}) $	2						2
$\Q(\sqrt{-1919}) $	100.00%						0.00%
$\Q(\sqrt{-482}) $	2						2
$\Q(\sqrt{-482}) $	100.00%						0.00%
$\Q(\sqrt{-1931}) $	2						2
$\Q(\sqrt{-1931}) $	100.00%						0.00%
$\Q(\sqrt{-1943}) $	6						6
$\Q(\sqrt{-1943}) $	100.00%						0.00%
$\Q(\sqrt{-1947}) $	4						4
$\Q(\sqrt{-1947}) $	100.00%						0.00%
$\Q(\sqrt{-489}) $	2						2
$\Q(\sqrt{-489}) $	100.00%						0.00%
$\Q(\sqrt{-1983}) $	4						4
$\Q(\sqrt{-1983}) $	100.00%						0.00%
$\Q(\sqrt{-497}) $	4						4
$\Q(\sqrt{-497}) $	100.00%						0.00%
$\Q(\sqrt{-1991}) $	6						6
$\Q(\sqrt{-1991}) $	100.00%						0.00%
$\Q(\sqrt{-1995}) $	8						8
$\Q(\sqrt{-1995}) $	100.00%						0.00%
$\Q(\sqrt{-2019}) $	4						4
$\Q(\sqrt{-2019}) $	100.00%						0.00%
$\Q(\sqrt{-506}) $	4						4
$\Q(\sqrt{-506}) $	100.00%						0.00%
$\Q(\sqrt{-2035}) $	8						8
$\Q(\sqrt{-2035}) $	100.00%						0.00%
$\Q(\sqrt{-2039}) $	2						2
$\Q(\sqrt{-2039}) $	100.00%						0.00%
$\Q(\sqrt{-510}) $	8						8
$\Q(\sqrt{-510}) $	100.00%						0.00%
$\Q(\sqrt{-2051}) $	6						6
$\Q(\sqrt{-2051}) $	100.00%						0.00%
$\Q(\sqrt{-2055}) $	4						4
$\Q(\sqrt{-2055}) $	100.00%						0.00%
$\Q(\sqrt{-514}) $	2						2
$\Q(\sqrt{-514}) $	100.00%						0.00%
$\Q(\sqrt{-2059}) $	2						2
$\Q(\sqrt{-2059}) $	100.00%						0.00%
$\Q(\sqrt{-2063}) $	2						2
$\Q(\sqrt{-2063}) $	100.00%						0.00%
$\Q(\sqrt{-2067}) $	8						8
$\Q(\sqrt{-2067}) $	100.00%						0.00%
$\Q(\sqrt{-517}) $	20						20
$\Q(\sqrt{-517}) $	100.00%						0.01%
$\Q(\sqrt{-2071}) $	4						4
$\Q(\sqrt{-2071}) $	100.00%						0.00%
$\Q(\sqrt{-518}) $	4						4
$\Q(\sqrt{-518}) $	100.00%						0.00%
$\Q(\sqrt{-521}) $	2						2
$\Q(\sqrt{-521}) $	100.00%						0.00%
$\Q(\sqrt{-526}) $	2						2
$\Q(\sqrt{-526}) $	100.00%						0.00%
$\Q(\sqrt{-530}) $	2						2
$\Q(\sqrt{-530}) $	100.00%						0.00%
$\Q(\sqrt{-2123}) $	2						2
$\Q(\sqrt{-2123}) $	100.00%						0.00%
$\Q(\sqrt{-2139}) $	4						4
$\Q(\sqrt{-2139}) $	100.00%						0.00%
$\Q(\sqrt{-2147}) $	2						2
$\Q(\sqrt{-2147}) $	100.00%						0.00%
$\Q(\sqrt{-537}) $	8						8
$\Q(\sqrt{-537}) $	100.00%						0.00%
$\Q(\sqrt{-2159}) $	12						12
$\Q(\sqrt{-2159}) $	100.00%						0.01%
$\Q(\sqrt{-2163}) $	4						4
$\Q(\sqrt{-2163}) $	100.00%						0.00%
$\Q(\sqrt{-2167}) $	2						2
$\Q(\sqrt{-2167}) $	100.00%						0.00%
$\Q(\sqrt{-542}) $	6						6
$\Q(\sqrt{-542}) $	100.00%						0.00%
$\Q(\sqrt{-545}) $	4						4
$\Q(\sqrt{-545}) $	100.00%						0.00%
$\Q(\sqrt{-2199}) $	2						2
$\Q(\sqrt{-2199}) $	100.00%						0.00%
$\Q(\sqrt{-2211}) $	6						6
$\Q(\sqrt{-2211}) $	100.00%						0.00%
$\Q(\sqrt{-553}) $	4						4
$\Q(\sqrt{-553}) $	100.00%						0.00%
$\Q(\sqrt{-2219}) $	4						4
$\Q(\sqrt{-2219}) $	100.00%						0.00%
$\Q(\sqrt{-2231}) $	4						4
$\Q(\sqrt{-2231}) $	100.00%						0.00%
$\Q(\sqrt{-2243}) $	2						2
$\Q(\sqrt{-2243}) $	100.00%						0.00%
$\Q(\sqrt{-561}) $	8						8
$\Q(\sqrt{-561}) $	100.00%						0.00%
$\Q(\sqrt{-2255}) $	4						4
$\Q(\sqrt{-2255}) $	100.00%						0.00%
$\Q(\sqrt{-566}) $	4						4
$\Q(\sqrt{-566}) $	100.00%						0.00%
$\Q(\sqrt{-2267}) $	2						2
$\Q(\sqrt{-2267}) $	100.00%						0.00%
$\Q(\sqrt{-2279}) $	8						8
$\Q(\sqrt{-2279}) $	100.00%						0.00%
$\Q(\sqrt{-570}) $	8						8
$\Q(\sqrt{-570}) $	100.00%						0.00%
$\Q(\sqrt{-2283}) $	4						4
$\Q(\sqrt{-2283}) $	100.00%						0.00%
$\Q(\sqrt{-2287}) $	2						2
$\Q(\sqrt{-2287}) $	100.00%						0.00%
$\Q(\sqrt{-2291}) $	4						4
$\Q(\sqrt{-2291}) $	100.00%						0.00%
$\Q(\sqrt{-574}) $	4						4
$\Q(\sqrt{-574}) $	100.00%						0.00%
$\Q(\sqrt{-577}) $	2						2
$\Q(\sqrt{-577}) $	100.00%						0.00%
$\Q(\sqrt{-2315}) $	4						4
$\Q(\sqrt{-2315}) $	100.00%						0.00%
$\Q(\sqrt{-2323}) $	2						2
$\Q(\sqrt{-2323}) $	100.00%						0.00%
$\Q(\sqrt{-2327}) $	6						6
$\Q(\sqrt{-2327}) $	100.00%						0.00%
$\Q(\sqrt{-582}) $	4						4
$\Q(\sqrt{-582}) $	100.00%						0.00%
$\Q(\sqrt{-2343}) $	4						4
$\Q(\sqrt{-2343}) $	100.00%						0.00%
$\Q(\sqrt{-586}) $	4						4
$\Q(\sqrt{-586}) $	100.00%						0.00%
$\Q(\sqrt{-2351}) $	4						4
$\Q(\sqrt{-2351}) $	100.00%						0.00%
$\Q(\sqrt{-593}) $	2						2
$\Q(\sqrt{-593}) $	100.00%						0.00%
$\Q(\sqrt{-2379}) $	24						24
$\Q(\sqrt{-2379}) $	100.00%						0.01%
$\Q(\sqrt{-2387}) $	4						4
$\Q(\sqrt{-2387}) $	100.00%						0.00%
$\Q(\sqrt{-2391}) $	4						4
$\Q(\sqrt{-2391}) $	100.00%						0.00%
$\Q(\sqrt{-598}) $	8						8
$\Q(\sqrt{-598}) $	100.00%						0.00%
$\Q(\sqrt{-601}) $	2						2
$\Q(\sqrt{-601}) $	100.00%						0.00%
$\Q(\sqrt{-2407}) $	2						2
$\Q(\sqrt{-2407}) $	100.00%						0.00%
$\Q(\sqrt{-2419}) $	2						2
$\Q(\sqrt{-2419}) $	100.00%						0.00%
$\Q(\sqrt{-2431}) $	4						4
$\Q(\sqrt{-2431}) $	100.00%						0.00%
$\Q(\sqrt{-2451}) $	6						6
$\Q(\sqrt{-2451}) $	100.00%						0.00%
$\Q(\sqrt{-614}) $	4						4
$\Q(\sqrt{-614}) $	100.00%						0.00%
$\Q(\sqrt{-2471}) $	2						2
$\Q(\sqrt{-2471}) $	100.00%						0.00%
$\Q(\sqrt{-2479}) $	4						4
$\Q(\sqrt{-2479}) $	100.00%						0.00%
$\Q(\sqrt{-2483}) $	2						2
$\Q(\sqrt{-2483}) $	100.00%						0.00%
$\Q(\sqrt{-622}) $	2						2
$\Q(\sqrt{-622}) $	100.00%						0.00%
$\Q(\sqrt{-2491}) $	4						4
$\Q(\sqrt{-2491}) $	100.00%						0.00%
Total	13184	23450	32124	114626	35333	14616	233333
Total	5.65%	10.05%	13.77%	49.13%	15.14%	6.26%

Distribution of computed $\operatorname{GL}_2$ levels by base field and level norm

The set of weights computed for each level varies.

		level norm
		1-100	101-1000	1001-10000	10001-50000	50001-100000	100001-150000	Total
base field	$\Q(\sqrt{-3}) $	3	161	2368	11389	14356	14526	42803
	$\Q(\sqrt{-3}) $	0.01%	0.38%	5.53%	26.61%	33.54%	33.94%	18.15%
	$\Q(\sqrt{-1}) $	5	253	3425	16061	20206		39950
	$\Q(\sqrt{-1}) $	0.01%	0.63%	8.57%	40.20%	50.58%		16.94%
	$\Q(\sqrt{-7}) $	24	477	6053	27474			34028
	$\Q(\sqrt{-7}) $	0.07%	1.40%	17.79%	80.74%			14.43%
	$\Q(\sqrt{-2}) $	13	417	5279	23925			29634
	$\Q(\sqrt{-2}) $	0.04%	1.41%	17.81%	80.73%			12.56%
	$\Q(\sqrt{-11}) $	20	368	4434	20228			25050
	$\Q(\sqrt{-11}) $	0.08%	1.47%	17.70%	80.75%			10.62%
	$\Q(\sqrt{-15}) $	34	702					736
	$\Q(\sqrt{-15}) $	4.62%	95.38%					0.31%
	$\Q(\sqrt{-19}) $	18	252	2678	1590			4538
	$\Q(\sqrt{-19}) $	0.40%	5.55%	59.01%	35.04%			1.92%
	$\Q(\sqrt{-5}) $	24	614					638
	$\Q(\sqrt{-5}) $	3.76%	96.24%					0.27%
	$\Q(\sqrt{-23}) $	99	1065	2462				3626
	$\Q(\sqrt{-23}) $	2.73%	29.37%	67.90%				1.54%
	$\Q(\sqrt{-6}) $	19	458					477
	$\Q(\sqrt{-6}) $	3.98%	96.02%					0.20%
	$\Q(\sqrt{-31}) $	82	898	4108				5088
	$\Q(\sqrt{-31}) $	1.61%	17.65%	80.74%				2.16%
	$\Q(\sqrt{-35}) $	32	460					492
	$\Q(\sqrt{-35}) $	6.50%	93.50%					0.21%
	$\Q(\sqrt{-39}) $	134	1248					1382
	$\Q(\sqrt{-39}) $	9.70%	90.30%					0.59%
	$\Q(\sqrt{-10}) $	40	439					479
	$\Q(\sqrt{-10}) $	8.35%	91.65%					0.20%
	$\Q(\sqrt{-43}) $	6	100	1222	713			2041
	$\Q(\sqrt{-43}) $	0.29%	4.90%	59.87%	34.93%			0.87%
	$\Q(\sqrt{-47}) $	124	1271					1395
	$\Q(\sqrt{-47}) $	8.89%	91.11%					0.59%
	$\Q(\sqrt{-51}) $	24	329					353
	$\Q(\sqrt{-51}) $	6.80%	93.20%					0.15%
	$\Q(\sqrt{-13}) $	13	267					280
	$\Q(\sqrt{-13}) $	4.64%	95.36%					0.12%
	$\Q(\sqrt{-55}) $	66	757					823
	$\Q(\sqrt{-55}) $	8.02%	91.98%					0.35%
	$\Q(\sqrt{-14}) $	73	872					945
	$\Q(\sqrt{-14}) $	7.72%	92.28%					0.40%
	$\Q(\sqrt{-59}) $	46	599					645
	$\Q(\sqrt{-59}) $	7.13%	92.87%					0.27%
	$\Q(\sqrt{-67}) $	6	69	872				947
	$\Q(\sqrt{-67}) $	0.63%	7.29%	92.08%				0.40%
	$\Q(\sqrt{-17}) $	113	1013					1126
	$\Q(\sqrt{-17}) $	10.04%	89.96%					0.48%
	$\Q(\sqrt{-71}) $	95	1332					1427
	$\Q(\sqrt{-71}) $	6.66%	93.34%					0.60%
	$\Q(\sqrt{-79}) $	141	1279					1420
	$\Q(\sqrt{-79}) $	9.93%	90.07%					0.60%
	$\Q(\sqrt{-83}) $	31	412					443
	$\Q(\sqrt{-83}) $	7.00%	93.00%					0.19%
	$\Q(\sqrt{-21}) $	79	774					853
	$\Q(\sqrt{-21}) $	9.26%	90.74%					0.36%
	$\Q(\sqrt{-87}) $	80	969					1049
	$\Q(\sqrt{-87}) $	7.63%	92.37%					0.44%
	$\Q(\sqrt{-22}) $	11	138					149
	$\Q(\sqrt{-22}) $	7.38%	92.62%					0.06%
	$\Q(\sqrt{-91}) $	12	176					188
	$\Q(\sqrt{-91}) $	6.38%	93.62%					0.08%
	$\Q(\sqrt{-95}) $	123	1438					1561
	$\Q(\sqrt{-95}) $	7.88%	92.12%					0.66%
	$\Q(\sqrt{-103}) $	50	799					849
	$\Q(\sqrt{-103}) $	5.89%	94.11%					0.36%
$\Q(\sqrt{-26}) $	115	1167					1282
$\Q(\sqrt{-26}) $	8.97%	91.03%					0.54%
$\Q(\sqrt{-107}) $	40	436					476
$\Q(\sqrt{-107}) $	8.40%	91.60%					0.20%
$\Q(\sqrt{-111}) $	238	2129					2367
$\Q(\sqrt{-111}) $	10.05%	89.95%					1.00%
$\Q(\sqrt{-115}) $	8	108					116
$\Q(\sqrt{-115}) $	6.90%	93.10%					0.05%
$\Q(\sqrt{-119}) $	143	1693					1836
$\Q(\sqrt{-119}) $	7.79%	92.21%					0.78%
$\Q(\sqrt{-30}) $	64	620					684
$\Q(\sqrt{-30}) $	9.36%	90.64%					0.29%
$\Q(\sqrt{-123}) $	10						10
$\Q(\sqrt{-123}) $	100.00%						0.00%
$\Q(\sqrt{-127}) $	51						51
$\Q(\sqrt{-127}) $	100.00%						0.02%
$\Q(\sqrt{-131}) $	62						62
$\Q(\sqrt{-131}) $	100.00%						0.03%
$\Q(\sqrt{-33}) $	73						73
$\Q(\sqrt{-33}) $	100.00%						0.03%
$\Q(\sqrt{-34}) $	69						69
$\Q(\sqrt{-34}) $	100.00%						0.03%
$\Q(\sqrt{-139}) $	25						25
$\Q(\sqrt{-139}) $	100.00%						0.01%
$\Q(\sqrt{-143}) $	144						144
$\Q(\sqrt{-143}) $	100.00%						0.06%
$\Q(\sqrt{-37}) $	11						11
$\Q(\sqrt{-37}) $	100.00%						0.00%
$\Q(\sqrt{-151}) $	47						47
$\Q(\sqrt{-151}) $	100.00%						0.02%
$\Q(\sqrt{-38}) $	62						62
$\Q(\sqrt{-38}) $	100.00%						0.03%
$\Q(\sqrt{-155}) $	28						28
$\Q(\sqrt{-155}) $	100.00%						0.01%
$\Q(\sqrt{-159}) $	89						89
$\Q(\sqrt{-159}) $	100.00%						0.04%
$\Q(\sqrt{-163}) $	2	34	122				158
$\Q(\sqrt{-163}) $	1.27%	21.52%	77.22%				0.07%
$\Q(\sqrt{-41}) $	197						197
$\Q(\sqrt{-41}) $	100.00%						0.08%
$\Q(\sqrt{-167}) $	116						116
$\Q(\sqrt{-167}) $	100.00%						0.05%
$\Q(\sqrt{-42}) $	25						25
$\Q(\sqrt{-42}) $	100.00%						0.01%
$\Q(\sqrt{-179}) $	25						25
$\Q(\sqrt{-179}) $	100.00%						0.01%
$\Q(\sqrt{-183}) $	182						182
$\Q(\sqrt{-183}) $	100.00%						0.08%
$\Q(\sqrt{-46}) $	23						23
$\Q(\sqrt{-46}) $	100.00%						0.01%
$\Q(\sqrt{-187}) $	11						11
$\Q(\sqrt{-187}) $	100.00%						0.00%
$\Q(\sqrt{-191}) $	151						151
$\Q(\sqrt{-191}) $	100.00%						0.06%
$\Q(\sqrt{-195}) $	29						29
$\Q(\sqrt{-195}) $	100.00%						0.01%
$\Q(\sqrt{-199}) $	60						60
$\Q(\sqrt{-199}) $	100.00%						0.03%
$\Q(\sqrt{-203}) $	90						90
$\Q(\sqrt{-203}) $	100.00%						0.04%
$\Q(\sqrt{-211}) $	2						2
$\Q(\sqrt{-211}) $	100.00%						0.00%
$\Q(\sqrt{-53}) $	36						36
$\Q(\sqrt{-53}) $	100.00%						0.02%
$\Q(\sqrt{-215}) $	108						108
$\Q(\sqrt{-215}) $	100.00%						0.05%
$\Q(\sqrt{-219}) $	88						88
$\Q(\sqrt{-219}) $	100.00%						0.04%
$\Q(\sqrt{-223}) $	144						144
$\Q(\sqrt{-223}) $	100.00%						0.06%
$\Q(\sqrt{-227}) $	35						35
$\Q(\sqrt{-227}) $	100.00%						0.01%
$\Q(\sqrt{-57}) $	86						86
$\Q(\sqrt{-57}) $	100.00%						0.04%
$\Q(\sqrt{-231}) $	201						201
$\Q(\sqrt{-231}) $	100.00%						0.09%
$\Q(\sqrt{-58}) $	8						8
$\Q(\sqrt{-58}) $	100.00%						0.00%
$\Q(\sqrt{-235}) $	5						5
$\Q(\sqrt{-235}) $	100.00%						0.00%
$\Q(\sqrt{-239}) $	175						175
$\Q(\sqrt{-239}) $	100.00%						0.07%
$\Q(\sqrt{-61}) $	27						27
$\Q(\sqrt{-61}) $	100.00%						0.01%
$\Q(\sqrt{-247}) $	24						24
$\Q(\sqrt{-247}) $	100.00%						0.01%
$\Q(\sqrt{-62}) $	70						70
$\Q(\sqrt{-62}) $	100.00%						0.03%
$\Q(\sqrt{-251}) $	31						31
$\Q(\sqrt{-251}) $	100.00%						0.01%
$\Q(\sqrt{-255}) $	237						237
$\Q(\sqrt{-255}) $	100.00%						0.10%
$\Q(\sqrt{-259}) $	82						82
$\Q(\sqrt{-259}) $	100.00%						0.03%
$\Q(\sqrt{-65}) $	156						156
$\Q(\sqrt{-65}) $	100.00%						0.07%
$\Q(\sqrt{-263}) $	95						95
$\Q(\sqrt{-263}) $	100.00%						0.04%
$\Q(\sqrt{-66}) $	153						153
$\Q(\sqrt{-66}) $	100.00%						0.06%
$\Q(\sqrt{-267}) $	8						8
$\Q(\sqrt{-267}) $	100.00%						0.00%
$\Q(\sqrt{-271}) $	88						88
$\Q(\sqrt{-271}) $	100.00%						0.04%
$\Q(\sqrt{-69}) $	45						45
$\Q(\sqrt{-69}) $	100.00%						0.02%
$\Q(\sqrt{-70}) $	20						20
$\Q(\sqrt{-70}) $	100.00%						0.01%
$\Q(\sqrt{-283}) $	5						5
$\Q(\sqrt{-283}) $	100.00%						0.00%
$\Q(\sqrt{-287}) $	138						138
$\Q(\sqrt{-287}) $	100.00%						0.06%
$\Q(\sqrt{-291}) $	74						74
$\Q(\sqrt{-291}) $	100.00%						0.03%
$\Q(\sqrt{-73}) $	76						76
$\Q(\sqrt{-73}) $	100.00%						0.03%
$\Q(\sqrt{-295}) $	40						40
$\Q(\sqrt{-295}) $	100.00%						0.02%
$\Q(\sqrt{-74}) $	67						67
$\Q(\sqrt{-74}) $	100.00%						0.03%
$\Q(\sqrt{-299}) $	74						74
$\Q(\sqrt{-299}) $	100.00%						0.03%
$\Q(\sqrt{-303}) $	48						48
$\Q(\sqrt{-303}) $	100.00%						0.02%
$\Q(\sqrt{-307}) $	3						3
$\Q(\sqrt{-307}) $	100.00%						0.00%
$\Q(\sqrt{-77}) $	136						136
$\Q(\sqrt{-77}) $	100.00%						0.06%
$\Q(\sqrt{-311}) $	129						129
$\Q(\sqrt{-311}) $	100.00%						0.05%
$\Q(\sqrt{-78}) $	21						21
$\Q(\sqrt{-78}) $	100.00%						0.01%
$\Q(\sqrt{-319}) $	35						35
$\Q(\sqrt{-319}) $	100.00%						0.01%
$\Q(\sqrt{-323}) $	35						35
$\Q(\sqrt{-323}) $	100.00%						0.01%
$\Q(\sqrt{-327}) $	209						209
$\Q(\sqrt{-327}) $	100.00%						0.09%
$\Q(\sqrt{-82}) $	67						67
$\Q(\sqrt{-82}) $	100.00%						0.03%
$\Q(\sqrt{-331}) $	5						5
$\Q(\sqrt{-331}) $	100.00%						0.00%
$\Q(\sqrt{-335}) $	147						147
$\Q(\sqrt{-335}) $	100.00%						0.06%
$\Q(\sqrt{-339}) $	30						30
$\Q(\sqrt{-339}) $	100.00%						0.01%
$\Q(\sqrt{-85}) $	18						18
$\Q(\sqrt{-85}) $	100.00%						0.01%
$\Q(\sqrt{-86}) $	55						55
$\Q(\sqrt{-86}) $	100.00%						0.02%
$\Q(\sqrt{-347}) $	23						23
$\Q(\sqrt{-347}) $	100.00%						0.01%
$\Q(\sqrt{-355}) $	10						10
$\Q(\sqrt{-355}) $	100.00%						0.00%
$\Q(\sqrt{-89}) $	194						194
$\Q(\sqrt{-89}) $	100.00%						0.08%
$\Q(\sqrt{-359}) $	162						162
$\Q(\sqrt{-359}) $	100.00%						0.07%
$\Q(\sqrt{-367}) $	43						43
$\Q(\sqrt{-367}) $	100.00%						0.02%
$\Q(\sqrt{-371}) $	126						126
$\Q(\sqrt{-371}) $	100.00%						0.05%
$\Q(\sqrt{-93}) $	63						63
$\Q(\sqrt{-93}) $	100.00%						0.03%
$\Q(\sqrt{-94}) $	28						28
$\Q(\sqrt{-94}) $	100.00%						0.01%
$\Q(\sqrt{-379}) $	3						3
$\Q(\sqrt{-379}) $	100.00%						0.00%
$\Q(\sqrt{-383}) $	122						122
$\Q(\sqrt{-383}) $	100.00%						0.05%
$\Q(\sqrt{-97}) $	60						60
$\Q(\sqrt{-97}) $	100.00%						0.03%
$\Q(\sqrt{-391}) $	73						73
$\Q(\sqrt{-391}) $	100.00%						0.03%
$\Q(\sqrt{-395}) $	73						73
$\Q(\sqrt{-395}) $	100.00%						0.03%
$\Q(\sqrt{-399}) $	245						245
$\Q(\sqrt{-399}) $	100.00%						0.10%
$\Q(\sqrt{-403}) $	3						3
$\Q(\sqrt{-403}) $	100.00%						0.00%
$\Q(\sqrt{-101}) $	81						81
$\Q(\sqrt{-101}) $	100.00%						0.03%
$\Q(\sqrt{-407}) $	238						238
$\Q(\sqrt{-407}) $	100.00%						0.10%
$\Q(\sqrt{-102}) $	56						56
$\Q(\sqrt{-102}) $	100.00%						0.02%
$\Q(\sqrt{-411}) $	24						24
$\Q(\sqrt{-411}) $	100.00%						0.01%
$\Q(\sqrt{-415}) $	26						26
$\Q(\sqrt{-415}) $	100.00%						0.01%
$\Q(\sqrt{-419}) $	31						31
$\Q(\sqrt{-419}) $	100.00%						0.01%
$\Q(\sqrt{-105}) $	120						120
$\Q(\sqrt{-105}) $	100.00%						0.05%
$\Q(\sqrt{-106}) $	26						26
$\Q(\sqrt{-106}) $	100.00%						0.01%
$\Q(\sqrt{-427}) $	5						5
$\Q(\sqrt{-427}) $	100.00%						0.00%
$\Q(\sqrt{-431}) $	124						124
$\Q(\sqrt{-431}) $	100.00%						0.05%
$\Q(\sqrt{-435}) $	55						55
$\Q(\sqrt{-435}) $	100.00%						0.02%
$\Q(\sqrt{-109}) $	16						16
$\Q(\sqrt{-109}) $	100.00%						0.01%
$\Q(\sqrt{-439}) $	40						40
$\Q(\sqrt{-439}) $	100.00%						0.02%
$\Q(\sqrt{-110}) $	69						69
$\Q(\sqrt{-110}) $	100.00%						0.03%
$\Q(\sqrt{-443}) $	16						16
$\Q(\sqrt{-443}) $	100.00%						0.01%
$\Q(\sqrt{-447}) $	59						59
$\Q(\sqrt{-447}) $	100.00%						0.03%
$\Q(\sqrt{-451}) $	12						12
$\Q(\sqrt{-451}) $	100.00%						0.01%
$\Q(\sqrt{-113}) $	111						111
$\Q(\sqrt{-113}) $	100.00%						0.05%
$\Q(\sqrt{-455}) $	282						282
$\Q(\sqrt{-455}) $	100.00%						0.12%
$\Q(\sqrt{-114}) $	112						112
$\Q(\sqrt{-114}) $	100.00%						0.05%
$\Q(\sqrt{-463}) $	15						15
$\Q(\sqrt{-463}) $	100.00%						0.01%
$\Q(\sqrt{-467}) $	35						35
$\Q(\sqrt{-467}) $	100.00%						0.01%
$\Q(\sqrt{-471}) $	225						225
$\Q(\sqrt{-471}) $	100.00%						0.10%
$\Q(\sqrt{-118}) $	11						11
$\Q(\sqrt{-118}) $	100.00%						0.00%
$\Q(\sqrt{-479}) $	160						160
$\Q(\sqrt{-479}) $	100.00%						0.07%
$\Q(\sqrt{-483}) $	15						15
$\Q(\sqrt{-483}) $	100.00%						0.01%
$\Q(\sqrt{-487}) $	40						40
$\Q(\sqrt{-487}) $	100.00%						0.02%
$\Q(\sqrt{-122}) $	50						50
$\Q(\sqrt{-122}) $	100.00%						0.02%
$\Q(\sqrt{-491}) $	32						32
$\Q(\sqrt{-491}) $	100.00%						0.01%
$\Q(\sqrt{-499}) $	3						3
$\Q(\sqrt{-499}) $	100.00%						0.00%
$\Q(\sqrt{-503}) $	172						172
$\Q(\sqrt{-503}) $	100.00%						0.07%
$\Q(\sqrt{-511}) $	68						68
$\Q(\sqrt{-511}) $	100.00%						0.03%
$\Q(\sqrt{-515}) $	21						21
$\Q(\sqrt{-515}) $	100.00%						0.01%
$\Q(\sqrt{-129}) $	162						162
$\Q(\sqrt{-129}) $	100.00%						0.07%
$\Q(\sqrt{-519}) $	95						95
$\Q(\sqrt{-519}) $	100.00%						0.04%
$\Q(\sqrt{-130}) $	50						50
$\Q(\sqrt{-130}) $	100.00%						0.02%
$\Q(\sqrt{-523}) $	6						6
$\Q(\sqrt{-523}) $	100.00%						0.00%
$\Q(\sqrt{-527}) $	197						197
$\Q(\sqrt{-527}) $	100.00%						0.08%
$\Q(\sqrt{-133}) $	24						24
$\Q(\sqrt{-133}) $	100.00%						0.01%
$\Q(\sqrt{-535}) $	32						32
$\Q(\sqrt{-535}) $	100.00%						0.01%
$\Q(\sqrt{-134}) $	55						55
$\Q(\sqrt{-134}) $	100.00%						0.02%
$\Q(\sqrt{-543}) $	157						157
$\Q(\sqrt{-543}) $	100.00%						0.07%
$\Q(\sqrt{-547}) $	12						12
$\Q(\sqrt{-547}) $	100.00%						0.01%
$\Q(\sqrt{-137}) $	103						103
$\Q(\sqrt{-137}) $	100.00%						0.04%
$\Q(\sqrt{-551}) $	185						185
$\Q(\sqrt{-551}) $	100.00%						0.08%
$\Q(\sqrt{-138}) $	102						102
$\Q(\sqrt{-138}) $	100.00%						0.04%
$\Q(\sqrt{-555}) $	24						24
$\Q(\sqrt{-555}) $	100.00%						0.01%
$\Q(\sqrt{-559}) $	97						97
$\Q(\sqrt{-559}) $	100.00%						0.04%
$\Q(\sqrt{-563}) $	70						70
$\Q(\sqrt{-563}) $	100.00%						0.03%
$\Q(\sqrt{-141}) $	46						46
$\Q(\sqrt{-141}) $	100.00%						0.02%
$\Q(\sqrt{-142}) $	23						23
$\Q(\sqrt{-142}) $	100.00%						0.01%
$\Q(\sqrt{-571}) $	60						60
$\Q(\sqrt{-571}) $	100.00%						0.03%
$\Q(\sqrt{-579}) $	99						99
$\Q(\sqrt{-579}) $	100.00%						0.04%
$\Q(\sqrt{-145}) $	100						100
$\Q(\sqrt{-145}) $	100.00%						0.04%
$\Q(\sqrt{-583}) $	104						104
$\Q(\sqrt{-583}) $	100.00%						0.04%
$\Q(\sqrt{-146}) $	202						202
$\Q(\sqrt{-146}) $	100.00%						0.09%
$\Q(\sqrt{-587}) $	24						24
$\Q(\sqrt{-587}) $	100.00%						0.01%
$\Q(\sqrt{-591}) $	97						97
$\Q(\sqrt{-591}) $	100.00%						0.04%
$\Q(\sqrt{-595}) $	45						45
$\Q(\sqrt{-595}) $	100.00%						0.02%
$\Q(\sqrt{-149}) $	61						61
$\Q(\sqrt{-149}) $	100.00%						0.03%
$\Q(\sqrt{-599}) $	118						118
$\Q(\sqrt{-599}) $	100.00%						0.05%
$\Q(\sqrt{-607}) $	35						35
$\Q(\sqrt{-607}) $	100.00%						0.01%
$\Q(\sqrt{-611}) $	37						37
$\Q(\sqrt{-611}) $	100.00%						0.02%
$\Q(\sqrt{-615}) $	246						246
$\Q(\sqrt{-615}) $	100.00%						0.10%
$\Q(\sqrt{-154}) $	98						98
$\Q(\sqrt{-154}) $	100.00%						0.04%
$\Q(\sqrt{-619}) $	5						5
$\Q(\sqrt{-619}) $	100.00%						0.00%
$\Q(\sqrt{-623}) $	144						144
$\Q(\sqrt{-623}) $	100.00%						0.06%
$\Q(\sqrt{-627}) $	12						12
$\Q(\sqrt{-627}) $	100.00%						0.01%
$\Q(\sqrt{-157}) $	11						11
$\Q(\sqrt{-157}) $	100.00%						0.00%
$\Q(\sqrt{-631}) $	70						70
$\Q(\sqrt{-631}) $	100.00%						0.03%
$\Q(\sqrt{-158}) $	61						61
$\Q(\sqrt{-158}) $	100.00%						0.03%
$\Q(\sqrt{-635}) $	32						32
$\Q(\sqrt{-635}) $	100.00%						0.01%
$\Q(\sqrt{-643}) $	34						34
$\Q(\sqrt{-643}) $	100.00%						0.01%
$\Q(\sqrt{-161}) $	195						195
$\Q(\sqrt{-161}) $	100.00%						0.08%
$\Q(\sqrt{-647}) $	103						103
$\Q(\sqrt{-647}) $	100.00%						0.04%
$\Q(\sqrt{-651}) $	92						92
$\Q(\sqrt{-651}) $	100.00%						0.04%
$\Q(\sqrt{-655}) $	41						41
$\Q(\sqrt{-655}) $	100.00%						0.02%
$\Q(\sqrt{-659}) $	23						23
$\Q(\sqrt{-659}) $	100.00%						0.01%
$\Q(\sqrt{-165}) $	90						90
$\Q(\sqrt{-165}) $	100.00%						0.04%
$\Q(\sqrt{-663}) $	111						111
$\Q(\sqrt{-663}) $	100.00%						0.05%
$\Q(\sqrt{-166}) $	17						17
$\Q(\sqrt{-166}) $	100.00%						0.01%
$\Q(\sqrt{-667}) $	47						47
$\Q(\sqrt{-667}) $	100.00%						0.02%
$\Q(\sqrt{-671}) $	174						174
$\Q(\sqrt{-671}) $	100.00%						0.07%
$\Q(\sqrt{-679}) $	64						64
$\Q(\sqrt{-679}) $	100.00%						0.03%
$\Q(\sqrt{-170}) $	51						51
$\Q(\sqrt{-170}) $	100.00%						0.02%
$\Q(\sqrt{-683}) $	16						16
$\Q(\sqrt{-683}) $	100.00%						0.01%
$\Q(\sqrt{-687}) $	141						141
$\Q(\sqrt{-687}) $	100.00%						0.06%
$\Q(\sqrt{-691}) $	6						6
$\Q(\sqrt{-691}) $	100.00%						0.00%
$\Q(\sqrt{-173}) $	53						53
$\Q(\sqrt{-173}) $	100.00%						0.02%
$\Q(\sqrt{-695}) $	103						103
$\Q(\sqrt{-695}) $	100.00%						0.04%
$\Q(\sqrt{-174}) $	135						135
$\Q(\sqrt{-174}) $	100.00%						0.06%
$\Q(\sqrt{-699}) $	26						26
$\Q(\sqrt{-699}) $	100.00%						0.01%
$\Q(\sqrt{-703}) $	57						57
$\Q(\sqrt{-703}) $	100.00%						0.02%
$\Q(\sqrt{-707}) $	28						28
$\Q(\sqrt{-707}) $	100.00%						0.01%
$\Q(\sqrt{-177}) $	43						43
$\Q(\sqrt{-177}) $	100.00%						0.02%
$\Q(\sqrt{-178}) $	88						88
$\Q(\sqrt{-178}) $	100.00%						0.04%
$\Q(\sqrt{-715}) $	10						10
$\Q(\sqrt{-715}) $	100.00%						0.00%
$\Q(\sqrt{-719}) $	209						209
$\Q(\sqrt{-719}) $	100.00%						0.09%
$\Q(\sqrt{-723}) $	47						47
$\Q(\sqrt{-723}) $	100.00%						0.02%
$\Q(\sqrt{-181}) $	21						21
$\Q(\sqrt{-181}) $	100.00%						0.01%
$\Q(\sqrt{-727}) $	27						27
$\Q(\sqrt{-727}) $	100.00%						0.01%
$\Q(\sqrt{-182}) $	56						56
$\Q(\sqrt{-182}) $	100.00%						0.02%
$\Q(\sqrt{-731}) $	68						68
$\Q(\sqrt{-731}) $	100.00%						0.03%
$\Q(\sqrt{-739}) $	16						16
$\Q(\sqrt{-739}) $	100.00%						0.01%
$\Q(\sqrt{-185}) $	174						174
$\Q(\sqrt{-185}) $	100.00%						0.07%
$\Q(\sqrt{-743}) $	108						108
$\Q(\sqrt{-743}) $	100.00%						0.05%
$\Q(\sqrt{-186}) $	34						34
$\Q(\sqrt{-186}) $	100.00%						0.01%
$\Q(\sqrt{-751}) $	40						40
$\Q(\sqrt{-751}) $	100.00%						0.02%
$\Q(\sqrt{-755}) $	36						36
$\Q(\sqrt{-755}) $	100.00%						0.02%
$\Q(\sqrt{-759}) $	266						266
$\Q(\sqrt{-759}) $	100.00%						0.11%
$\Q(\sqrt{-190}) $	19						19
$\Q(\sqrt{-190}) $	100.00%						0.01%
$\Q(\sqrt{-763}) $	39						39
$\Q(\sqrt{-763}) $	100.00%						0.02%
$\Q(\sqrt{-767}) $	73						73
$\Q(\sqrt{-767}) $	100.00%						0.03%
$\Q(\sqrt{-771}) $	13						13
$\Q(\sqrt{-771}) $	100.00%						0.01%
$\Q(\sqrt{-193}) $	43						43
$\Q(\sqrt{-193}) $	100.00%						0.02%
$\Q(\sqrt{-194}) $	218						218
$\Q(\sqrt{-194}) $	100.00%						0.09%
$\Q(\sqrt{-779}) $	35						35
$\Q(\sqrt{-779}) $	100.00%						0.01%
$\Q(\sqrt{-787}) $	3						3
$\Q(\sqrt{-787}) $	100.00%						0.00%
$\Q(\sqrt{-197}) $	37						37
$\Q(\sqrt{-197}) $	100.00%						0.02%
$\Q(\sqrt{-791}) $	345						345
$\Q(\sqrt{-791}) $	100.00%						0.15%
$\Q(\sqrt{-795}) $	40						40
$\Q(\sqrt{-795}) $	100.00%						0.02%
$\Q(\sqrt{-799}) $	90						90
$\Q(\sqrt{-799}) $	100.00%						0.04%
$\Q(\sqrt{-803}) $	34						34
$\Q(\sqrt{-803}) $	100.00%						0.01%
$\Q(\sqrt{-201}) $	125						125
$\Q(\sqrt{-201}) $	100.00%						0.05%
$\Q(\sqrt{-807}) $	61						61
$\Q(\sqrt{-807}) $	100.00%						0.03%
$\Q(\sqrt{-202}) $	10						10
$\Q(\sqrt{-202}) $	100.00%						0.00%
$\Q(\sqrt{-811}) $	3						3
$\Q(\sqrt{-811}) $	100.00%						0.00%
$\Q(\sqrt{-815}) $	121						121
$\Q(\sqrt{-815}) $	100.00%						0.05%
$\Q(\sqrt{-205}) $	84						84
$\Q(\sqrt{-205}) $	100.00%						0.04%
$\Q(\sqrt{-823}) $	36						36
$\Q(\sqrt{-823}) $	100.00%						0.02%
$\Q(\sqrt{-206}) $	66						66
$\Q(\sqrt{-206}) $	100.00%						0.03%
$\Q(\sqrt{-827}) $	17						17
$\Q(\sqrt{-827}) $	100.00%						0.01%
$\Q(\sqrt{-831}) $	291						291
$\Q(\sqrt{-831}) $	100.00%						0.12%
$\Q(\sqrt{-835}) $	6						6
$\Q(\sqrt{-835}) $	100.00%						0.00%
$\Q(\sqrt{-209}) $	209						209
$\Q(\sqrt{-209}) $	100.00%						0.09%
$\Q(\sqrt{-839}) $	124						124
$\Q(\sqrt{-839}) $	100.00%						0.05%
$\Q(\sqrt{-210}) $	82						82
$\Q(\sqrt{-210}) $	100.00%						0.03%
$\Q(\sqrt{-843}) $	11						11
$\Q(\sqrt{-843}) $	100.00%						0.00%
$\Q(\sqrt{-851}) $	34						34
$\Q(\sqrt{-851}) $	100.00%						0.01%
$\Q(\sqrt{-213}) $	26						26
$\Q(\sqrt{-213}) $	100.00%						0.01%
$\Q(\sqrt{-214}) $	12						12
$\Q(\sqrt{-214}) $	100.00%						0.01%
$\Q(\sqrt{-859}) $	5						5
$\Q(\sqrt{-859}) $	100.00%						0.00%
$\Q(\sqrt{-863}) $	71						71
$\Q(\sqrt{-863}) $	100.00%						0.03%
$\Q(\sqrt{-217}) $	80						80
$\Q(\sqrt{-217}) $	100.00%						0.03%
$\Q(\sqrt{-871}) $	72						72
$\Q(\sqrt{-871}) $	100.00%						0.03%
$\Q(\sqrt{-218}) $	55						55
$\Q(\sqrt{-218}) $	100.00%						0.02%
$\Q(\sqrt{-879}) $	105						105
$\Q(\sqrt{-879}) $	100.00%						0.04%
$\Q(\sqrt{-883}) $	3						3
$\Q(\sqrt{-883}) $	100.00%						0.00%
$\Q(\sqrt{-221}) $	116						116
$\Q(\sqrt{-221}) $	100.00%						0.05%
$\Q(\sqrt{-887}) $	120						120
$\Q(\sqrt{-887}) $	100.00%						0.05%
$\Q(\sqrt{-222}) $	31						31
$\Q(\sqrt{-222}) $	100.00%						0.01%
$\Q(\sqrt{-895}) $	58						58
$\Q(\sqrt{-895}) $	100.00%						0.02%
$\Q(\sqrt{-899}) $	35						35
$\Q(\sqrt{-899}) $	100.00%						0.01%
$\Q(\sqrt{-903}) $	155						155
$\Q(\sqrt{-903}) $	100.00%						0.07%
$\Q(\sqrt{-226}) $	81						81
$\Q(\sqrt{-226}) $	100.00%						0.03%
$\Q(\sqrt{-907}) $	2						2
$\Q(\sqrt{-907}) $	100.00%						0.00%
$\Q(\sqrt{-911}) $	151						151
$\Q(\sqrt{-911}) $	100.00%						0.06%
$\Q(\sqrt{-915}) $	78						78
$\Q(\sqrt{-915}) $	100.00%						0.03%
$\Q(\sqrt{-229}) $	21						21
$\Q(\sqrt{-229}) $	100.00%						0.01%
$\Q(\sqrt{-919}) $	32						32
$\Q(\sqrt{-919}) $	100.00%						0.01%
$\Q(\sqrt{-230}) $	73						73
$\Q(\sqrt{-230}) $	100.00%						0.03%
$\Q(\sqrt{-923}) $	25						25
$\Q(\sqrt{-923}) $	100.00%						0.01%
$\Q(\sqrt{-233}) $	117						117
$\Q(\sqrt{-233}) $	100.00%						0.05%
$\Q(\sqrt{-935}) $	118						118
$\Q(\sqrt{-935}) $	100.00%						0.05%
$\Q(\sqrt{-939}) $	83						83
$\Q(\sqrt{-939}) $	100.00%						0.04%
$\Q(\sqrt{-943}) $	155						155
$\Q(\sqrt{-943}) $	100.00%						0.07%
$\Q(\sqrt{-947}) $	15						15
$\Q(\sqrt{-947}) $	100.00%						0.01%
$\Q(\sqrt{-237}) $	117						117
$\Q(\sqrt{-237}) $	100.00%						0.05%
$\Q(\sqrt{-951}) $	94						94
$\Q(\sqrt{-951}) $	100.00%						0.04%
$\Q(\sqrt{-238}) $	75						75
$\Q(\sqrt{-238}) $	100.00%						0.03%
$\Q(\sqrt{-955}) $	9						9
$\Q(\sqrt{-955}) $	100.00%						0.00%
$\Q(\sqrt{-959}) $	355						355
$\Q(\sqrt{-959}) $	100.00%						0.15%
$\Q(\sqrt{-241}) $	117						117
$\Q(\sqrt{-241}) $	100.00%						0.05%
$\Q(\sqrt{-967}) $	22						22
$\Q(\sqrt{-967}) $	100.00%						0.01%
$\Q(\sqrt{-971}) $	144						144
$\Q(\sqrt{-971}) $	100.00%						0.06%
$\Q(\sqrt{-979}) $	82						82
$\Q(\sqrt{-979}) $	100.00%						0.03%
$\Q(\sqrt{-983}) $	85						85
$\Q(\sqrt{-983}) $	100.00%						0.04%
$\Q(\sqrt{-246}) $	116						116
$\Q(\sqrt{-246}) $	100.00%						0.05%
$\Q(\sqrt{-987}) $	77						77
$\Q(\sqrt{-987}) $	100.00%						0.03%
$\Q(\sqrt{-991}) $	48						48
$\Q(\sqrt{-991}) $	100.00%						0.02%
$\Q(\sqrt{-995}) $	21						21
$\Q(\sqrt{-995}) $	100.00%						0.01%
$\Q(\sqrt{-249}) $	113						113
$\Q(\sqrt{-249}) $	100.00%						0.05%
$\Q(\sqrt{-1003}) $	5						5
$\Q(\sqrt{-1003}) $	100.00%						0.00%
$\Q(\sqrt{-1007}) $	2						2
$\Q(\sqrt{-1007}) $	100.00%						0.00%
$\Q(\sqrt{-1011}) $	15						15
$\Q(\sqrt{-1011}) $	100.00%						0.01%
$\Q(\sqrt{-253}) $	6						6
$\Q(\sqrt{-253}) $	100.00%						0.00%
$\Q(\sqrt{-1015}) $	19						19
$\Q(\sqrt{-1015}) $	100.00%						0.01%
$\Q(\sqrt{-254}) $	4						4
$\Q(\sqrt{-254}) $	100.00%						0.00%
$\Q(\sqrt{-1019}) $	4						4
$\Q(\sqrt{-1019}) $	100.00%						0.00%
$\Q(\sqrt{-1023}) $	20						20
$\Q(\sqrt{-1023}) $	100.00%						0.01%
$\Q(\sqrt{-1027}) $	2						2
$\Q(\sqrt{-1027}) $	100.00%						0.00%
$\Q(\sqrt{-257}) $	19						19
$\Q(\sqrt{-257}) $	100.00%						0.01%
$\Q(\sqrt{-1031}) $	2						2
$\Q(\sqrt{-1031}) $	100.00%						0.00%
$\Q(\sqrt{-258}) $	12						12
$\Q(\sqrt{-258}) $	100.00%						0.01%
$\Q(\sqrt{-1043}) $	12						12
$\Q(\sqrt{-1043}) $	100.00%						0.01%
$\Q(\sqrt{-1047}) $	19						19
$\Q(\sqrt{-1047}) $	100.00%						0.01%
$\Q(\sqrt{-262}) $	2						2
$\Q(\sqrt{-262}) $	100.00%						0.00%
$\Q(\sqrt{-1055}) $	8						8
$\Q(\sqrt{-1055}) $	100.00%						0.00%
$\Q(\sqrt{-1059}) $	1						1
$\Q(\sqrt{-1059}) $	100.00%						0.00%
$\Q(\sqrt{-265}) $	11						11
$\Q(\sqrt{-265}) $	100.00%						0.00%
$\Q(\sqrt{-266}) $	3						3
$\Q(\sqrt{-266}) $	100.00%						0.00%
$\Q(\sqrt{-1067}) $	14						14
$\Q(\sqrt{-1067}) $	100.00%						0.01%
$\Q(\sqrt{-269}) $	4						4
$\Q(\sqrt{-269}) $	100.00%						0.00%
$\Q(\sqrt{-1079}) $	2						2
$\Q(\sqrt{-1079}) $	100.00%						0.00%
$\Q(\sqrt{-1091}) $	5						5
$\Q(\sqrt{-1091}) $	100.00%						0.00%
$\Q(\sqrt{-273}) $	11						11
$\Q(\sqrt{-273}) $	100.00%						0.00%
$\Q(\sqrt{-1095}) $	2						2
$\Q(\sqrt{-1095}) $	100.00%						0.00%
$\Q(\sqrt{-274}) $	13						13
$\Q(\sqrt{-274}) $	100.00%						0.01%
$\Q(\sqrt{-1103}) $	8						8
$\Q(\sqrt{-1103}) $	100.00%						0.00%
$\Q(\sqrt{-1111}) $	3						3
$\Q(\sqrt{-1111}) $	100.00%						0.00%
$\Q(\sqrt{-278}) $	2						2
$\Q(\sqrt{-278}) $	100.00%						0.00%
$\Q(\sqrt{-1115}) $	2						2
$\Q(\sqrt{-1115}) $	100.00%						0.00%
$\Q(\sqrt{-1119}) $	35						35
$\Q(\sqrt{-1119}) $	100.00%						0.01%
$\Q(\sqrt{-281}) $	23						23
$\Q(\sqrt{-281}) $	100.00%						0.01%
$\Q(\sqrt{-282}) $	12						12
$\Q(\sqrt{-282}) $	100.00%						0.01%
$\Q(\sqrt{-1131}) $	6						6
$\Q(\sqrt{-1131}) $	100.00%						0.00%
$\Q(\sqrt{-1135}) $	4						4
$\Q(\sqrt{-1135}) $	100.00%						0.00%
$\Q(\sqrt{-1139}) $	8						8
$\Q(\sqrt{-1139}) $	100.00%						0.00%
$\Q(\sqrt{-285}) $	19						19
$\Q(\sqrt{-285}) $	100.00%						0.01%
$\Q(\sqrt{-286}) $	15						15
$\Q(\sqrt{-286}) $	100.00%						0.01%
$\Q(\sqrt{-1151}) $	2						2
$\Q(\sqrt{-1151}) $	100.00%						0.00%
$\Q(\sqrt{-1155}) $	9						9
$\Q(\sqrt{-1155}) $	100.00%						0.00%
$\Q(\sqrt{-1159}) $	17						17
$\Q(\sqrt{-1159}) $	100.00%						0.01%
$\Q(\sqrt{-290}) $	23						23
$\Q(\sqrt{-290}) $	100.00%						0.01%
$\Q(\sqrt{-1163}) $	2						2
$\Q(\sqrt{-1163}) $	100.00%						0.00%
$\Q(\sqrt{-1167}) $	1						1
$\Q(\sqrt{-1167}) $	100.00%						0.00%
$\Q(\sqrt{-293}) $	3						3
$\Q(\sqrt{-293}) $	100.00%						0.00%
$\Q(\sqrt{-1187}) $	2						2
$\Q(\sqrt{-1187}) $	100.00%						0.00%
$\Q(\sqrt{-1191}) $	25						25
$\Q(\sqrt{-1191}) $	100.00%						0.01%
$\Q(\sqrt{-1199}) $	3						3
$\Q(\sqrt{-1199}) $	100.00%						0.00%
$\Q(\sqrt{-1203}) $	2						2
$\Q(\sqrt{-1203}) $	100.00%						0.00%
$\Q(\sqrt{-301}) $	11						11
$\Q(\sqrt{-301}) $	100.00%						0.00%
$\Q(\sqrt{-1207}) $	3						3
$\Q(\sqrt{-1207}) $	100.00%						0.00%
$\Q(\sqrt{-302}) $	3						3
$\Q(\sqrt{-302}) $	100.00%						0.00%
$\Q(\sqrt{-1211}) $	2						2
$\Q(\sqrt{-1211}) $	100.00%						0.00%
$\Q(\sqrt{-305}) $	19						19
$\Q(\sqrt{-305}) $	100.00%						0.01%
$\Q(\sqrt{-1223}) $	4						4
$\Q(\sqrt{-1223}) $	100.00%						0.00%
$\Q(\sqrt{-1227}) $	7						7
$\Q(\sqrt{-1227}) $	100.00%						0.00%
$\Q(\sqrt{-1231}) $	2						2
$\Q(\sqrt{-1231}) $	100.00%						0.00%
$\Q(\sqrt{-1235}) $	2						2
$\Q(\sqrt{-1235}) $	100.00%						0.00%
$\Q(\sqrt{-309}) $	16						16
$\Q(\sqrt{-309}) $	100.00%						0.01%
$\Q(\sqrt{-1239}) $	32						32
$\Q(\sqrt{-1239}) $	100.00%						0.01%
$\Q(\sqrt{-310}) $	9						9
$\Q(\sqrt{-310}) $	100.00%						0.00%
$\Q(\sqrt{-1243}) $	4						4
$\Q(\sqrt{-1243}) $	100.00%						0.00%
$\Q(\sqrt{-1247}) $	2						2
$\Q(\sqrt{-1247}) $	100.00%						0.00%
$\Q(\sqrt{-313}) $	11						11
$\Q(\sqrt{-313}) $	100.00%						0.00%
$\Q(\sqrt{-314}) $	3						3
$\Q(\sqrt{-314}) $	100.00%						0.00%
$\Q(\sqrt{-1259}) $	2						2
$\Q(\sqrt{-1259}) $	100.00%						0.00%
$\Q(\sqrt{-1263}) $	23						23
$\Q(\sqrt{-1263}) $	100.00%						0.01%
$\Q(\sqrt{-1267}) $	1						1
$\Q(\sqrt{-1267}) $	100.00%						0.00%
$\Q(\sqrt{-317}) $	2						2
$\Q(\sqrt{-317}) $	100.00%						0.00%
$\Q(\sqrt{-1271}) $	39						39
$\Q(\sqrt{-1271}) $	100.00%						0.02%
$\Q(\sqrt{-318}) $	14						14
$\Q(\sqrt{-318}) $	100.00%						0.01%
$\Q(\sqrt{-1283}) $	3						3
$\Q(\sqrt{-1283}) $	100.00%						0.00%
$\Q(\sqrt{-321}) $	22						22
$\Q(\sqrt{-321}) $	100.00%						0.01%
$\Q(\sqrt{-322}) $	9						9
$\Q(\sqrt{-322}) $	100.00%						0.00%
$\Q(\sqrt{-1295}) $	2						2
$\Q(\sqrt{-1295}) $	100.00%						0.00%
$\Q(\sqrt{-1299}) $	11						11
$\Q(\sqrt{-1299}) $	100.00%						0.00%
$\Q(\sqrt{-326}) $	2						2
$\Q(\sqrt{-326}) $	100.00%						0.00%
$\Q(\sqrt{-1307}) $	2						2
$\Q(\sqrt{-1307}) $	100.00%						0.00%
$\Q(\sqrt{-1311}) $	5						5
$\Q(\sqrt{-1311}) $	100.00%						0.00%
$\Q(\sqrt{-329}) $	27						27
$\Q(\sqrt{-329}) $	100.00%						0.01%
$\Q(\sqrt{-1319}) $	31						31
$\Q(\sqrt{-1319}) $	100.00%						0.01%
$\Q(\sqrt{-330}) $	3						3
$\Q(\sqrt{-330}) $	100.00%						0.00%
$\Q(\sqrt{-1335}) $	29						29
$\Q(\sqrt{-1335}) $	100.00%						0.01%
$\Q(\sqrt{-334}) $	1						1
$\Q(\sqrt{-334}) $	100.00%						0.00%
$\Q(\sqrt{-1339}) $	2						2
$\Q(\sqrt{-1339}) $	100.00%						0.00%
$\Q(\sqrt{-1343}) $	2						2
$\Q(\sqrt{-1343}) $	100.00%						0.00%
$\Q(\sqrt{-1347}) $	1						1
$\Q(\sqrt{-1347}) $	100.00%						0.00%
$\Q(\sqrt{-337}) $	9						9
$\Q(\sqrt{-337}) $	100.00%						0.00%
$\Q(\sqrt{-1351}) $	22						22
$\Q(\sqrt{-1351}) $	100.00%						0.01%
$\Q(\sqrt{-1355}) $	2						2
$\Q(\sqrt{-1355}) $	100.00%						0.00%
$\Q(\sqrt{-341}) $	28						28
$\Q(\sqrt{-341}) $	100.00%						0.01%
$\Q(\sqrt{-1367}) $	9						9
$\Q(\sqrt{-1367}) $	100.00%						0.00%
$\Q(\sqrt{-1371}) $	13						13
$\Q(\sqrt{-1371}) $	100.00%						0.01%
$\Q(\sqrt{-1379}) $	18						18
$\Q(\sqrt{-1379}) $	100.00%						0.01%
$\Q(\sqrt{-345}) $	11						11
$\Q(\sqrt{-345}) $	100.00%						0.00%
$\Q(\sqrt{-1383}) $	1						1
$\Q(\sqrt{-1383}) $	100.00%						0.00%
$\Q(\sqrt{-1387}) $	5						5
$\Q(\sqrt{-1387}) $	100.00%						0.00%
$\Q(\sqrt{-1391}) $	10						10
$\Q(\sqrt{-1391}) $	100.00%						0.00%
$\Q(\sqrt{-1403}) $	2						2
$\Q(\sqrt{-1403}) $	100.00%						0.00%
$\Q(\sqrt{-1407}) $	24						24
$\Q(\sqrt{-1407}) $	100.00%						0.01%
$\Q(\sqrt{-1411}) $	2						2
$\Q(\sqrt{-1411}) $	100.00%						0.00%
$\Q(\sqrt{-353}) $	17						17
$\Q(\sqrt{-353}) $	100.00%						0.01%
$\Q(\sqrt{-1415}) $	2						2
$\Q(\sqrt{-1415}) $	100.00%						0.00%
$\Q(\sqrt{-354}) $	18						18
$\Q(\sqrt{-354}) $	100.00%						0.01%
$\Q(\sqrt{-1419}) $	2						2
$\Q(\sqrt{-1419}) $	100.00%						0.00%
$\Q(\sqrt{-1427}) $	2						2
$\Q(\sqrt{-1427}) $	100.00%						0.00%
$\Q(\sqrt{-357}) $	10						10
$\Q(\sqrt{-357}) $	100.00%						0.00%
$\Q(\sqrt{-358}) $	1						1
$\Q(\sqrt{-358}) $	100.00%						0.00%
$\Q(\sqrt{-1435}) $	5						5
$\Q(\sqrt{-1435}) $	100.00%						0.00%
$\Q(\sqrt{-1439}) $	9						9
$\Q(\sqrt{-1439}) $	100.00%						0.00%
$\Q(\sqrt{-1443}) $	8						8
$\Q(\sqrt{-1443}) $	100.00%						0.00%
$\Q(\sqrt{-362}) $	4						4
$\Q(\sqrt{-362}) $	100.00%						0.00%
$\Q(\sqrt{-1451}) $	2						2
$\Q(\sqrt{-1451}) $	100.00%						0.00%
$\Q(\sqrt{-1455}) $	2						2
$\Q(\sqrt{-1455}) $	100.00%						0.00%
$\Q(\sqrt{-365}) $	2						2
$\Q(\sqrt{-365}) $	100.00%						0.00%
$\Q(\sqrt{-1463}) $	29						29
$\Q(\sqrt{-1463}) $	100.00%						0.01%
$\Q(\sqrt{-366}) $	1						1
$\Q(\sqrt{-366}) $	100.00%						0.00%
$\Q(\sqrt{-1479}) $	27						27
$\Q(\sqrt{-1479}) $	100.00%						0.01%
$\Q(\sqrt{-370}) $	13						13
$\Q(\sqrt{-370}) $	100.00%						0.01%
$\Q(\sqrt{-1487}) $	4						4
$\Q(\sqrt{-1487}) $	100.00%						0.00%
$\Q(\sqrt{-1491}) $	3						3
$\Q(\sqrt{-1491}) $	100.00%						0.00%
$\Q(\sqrt{-374}) $	28						28
$\Q(\sqrt{-374}) $	100.00%						0.01%
$\Q(\sqrt{-1499}) $	2						2
$\Q(\sqrt{-1499}) $	100.00%						0.00%
$\Q(\sqrt{-1507}) $	6						6
$\Q(\sqrt{-1507}) $	100.00%						0.00%
$\Q(\sqrt{-377}) $	18						18
$\Q(\sqrt{-377}) $	100.00%						0.01%
$\Q(\sqrt{-1511}) $	2						2
$\Q(\sqrt{-1511}) $	100.00%						0.00%
$\Q(\sqrt{-1515}) $	11						11
$\Q(\sqrt{-1515}) $	100.00%						0.00%
$\Q(\sqrt{-1523}) $	2						2
$\Q(\sqrt{-1523}) $	100.00%						0.00%
$\Q(\sqrt{-381}) $	22						22
$\Q(\sqrt{-381}) $	100.00%						0.01%
$\Q(\sqrt{-1527}) $	2						2
$\Q(\sqrt{-1527}) $	100.00%						0.00%
$\Q(\sqrt{-382}) $	1						1
$\Q(\sqrt{-382}) $	100.00%						0.00%
$\Q(\sqrt{-1535}) $	4						4
$\Q(\sqrt{-1535}) $	100.00%						0.00%
$\Q(\sqrt{-385}) $	10						10
$\Q(\sqrt{-385}) $	100.00%						0.00%
$\Q(\sqrt{-386}) $	23						23
$\Q(\sqrt{-386}) $	100.00%						0.01%
$\Q(\sqrt{-1547}) $	13						13
$\Q(\sqrt{-1547}) $	100.00%						0.01%
$\Q(\sqrt{-1551}) $	28						28
$\Q(\sqrt{-1551}) $	100.00%						0.01%
$\Q(\sqrt{-389}) $	2						2
$\Q(\sqrt{-389}) $	100.00%						0.00%
$\Q(\sqrt{-1559}) $	29						29
$\Q(\sqrt{-1559}) $	100.00%						0.01%
$\Q(\sqrt{-390}) $	16						16
$\Q(\sqrt{-390}) $	100.00%						0.01%
$\Q(\sqrt{-1563}) $	1						1
$\Q(\sqrt{-1563}) $	100.00%						0.00%
$\Q(\sqrt{-1571}) $	2						2
$\Q(\sqrt{-1571}) $	100.00%						0.00%
$\Q(\sqrt{-393}) $	12						12
$\Q(\sqrt{-393}) $	100.00%						0.01%
$\Q(\sqrt{-1583}) $	11						11
$\Q(\sqrt{-1583}) $	100.00%						0.00%
$\Q(\sqrt{-397}) $	4						4
$\Q(\sqrt{-397}) $	100.00%						0.00%
$\Q(\sqrt{-398}) $	3						3
$\Q(\sqrt{-398}) $	100.00%						0.00%
$\Q(\sqrt{-1595}) $	3						3
$\Q(\sqrt{-1595}) $	100.00%						0.00%
$\Q(\sqrt{-1599}) $	1						1
$\Q(\sqrt{-1599}) $	100.00%						0.00%
$\Q(\sqrt{-1603}) $	8						8
$\Q(\sqrt{-1603}) $	100.00%						0.00%
$\Q(\sqrt{-401}) $	21						21
$\Q(\sqrt{-401}) $	100.00%						0.01%
$\Q(\sqrt{-1607}) $	8						8
$\Q(\sqrt{-1607}) $	100.00%						0.00%
$\Q(\sqrt{-402}) $	16						16
$\Q(\sqrt{-402}) $	100.00%						0.01%
$\Q(\sqrt{-1615}) $	22						22
$\Q(\sqrt{-1615}) $	100.00%						0.01%
$\Q(\sqrt{-1619}) $	6						6
$\Q(\sqrt{-1619}) $	100.00%						0.00%
$\Q(\sqrt{-1623}) $	25						25
$\Q(\sqrt{-1623}) $	100.00%						0.01%
$\Q(\sqrt{-406}) $	15						15
$\Q(\sqrt{-406}) $	100.00%						0.01%
$\Q(\sqrt{-1631}) $	38						38
$\Q(\sqrt{-1631}) $	100.00%						0.02%
$\Q(\sqrt{-1635}) $	11						11
$\Q(\sqrt{-1635}) $	100.00%						0.00%
$\Q(\sqrt{-409}) $	15						15
$\Q(\sqrt{-409}) $	100.00%						0.01%
$\Q(\sqrt{-1639}) $	1						1
$\Q(\sqrt{-1639}) $	100.00%						0.00%
$\Q(\sqrt{-410}) $	17						17
$\Q(\sqrt{-410}) $	100.00%						0.01%
$\Q(\sqrt{-1643}) $	2						2
$\Q(\sqrt{-1643}) $	100.00%						0.00%
$\Q(\sqrt{-1651}) $	2						2
$\Q(\sqrt{-1651}) $	100.00%						0.00%
$\Q(\sqrt{-413}) $	8						8
$\Q(\sqrt{-413}) $	100.00%						0.00%
$\Q(\sqrt{-1655}) $	4						4
$\Q(\sqrt{-1655}) $	100.00%						0.00%
$\Q(\sqrt{-1659}) $	10						10
$\Q(\sqrt{-1659}) $	100.00%						0.00%
$\Q(\sqrt{-1667}) $	2						2
$\Q(\sqrt{-1667}) $	100.00%						0.00%
$\Q(\sqrt{-417}) $	12						12
$\Q(\sqrt{-417}) $	100.00%						0.01%
$\Q(\sqrt{-1671}) $	5						5
$\Q(\sqrt{-1671}) $	100.00%						0.00%
$\Q(\sqrt{-418}) $	10						10
$\Q(\sqrt{-418}) $	100.00%						0.00%
$\Q(\sqrt{-1679}) $	43						43
$\Q(\sqrt{-1679}) $	100.00%						0.02%
$\Q(\sqrt{-422}) $	2						2
$\Q(\sqrt{-422}) $	100.00%						0.00%
$\Q(\sqrt{-1691}) $	2						2
$\Q(\sqrt{-1691}) $	100.00%						0.00%
$\Q(\sqrt{-1695}) $	21						21
$\Q(\sqrt{-1695}) $	100.00%						0.01%
$\Q(\sqrt{-1703}) $	8						8
$\Q(\sqrt{-1703}) $	100.00%						0.00%
$\Q(\sqrt{-426}) $	22						22
$\Q(\sqrt{-426}) $	100.00%						0.01%
$\Q(\sqrt{-1707}) $	1						1
$\Q(\sqrt{-1707}) $	100.00%						0.00%
$\Q(\sqrt{-1711}) $	25						25
$\Q(\sqrt{-1711}) $	100.00%						0.01%
$\Q(\sqrt{-429}) $	3						3
$\Q(\sqrt{-429}) $	100.00%						0.00%
$\Q(\sqrt{-430}) $	3						3
$\Q(\sqrt{-430}) $	100.00%						0.00%
$\Q(\sqrt{-1727}) $	32						32
$\Q(\sqrt{-1727}) $	100.00%						0.01%
$\Q(\sqrt{-1731}) $	9						9
$\Q(\sqrt{-1731}) $	100.00%						0.00%
$\Q(\sqrt{-433}) $	11						11
$\Q(\sqrt{-433}) $	100.00%						0.00%
$\Q(\sqrt{-434}) $	23						23
$\Q(\sqrt{-434}) $	100.00%						0.01%
$\Q(\sqrt{-1739}) $	19						19
$\Q(\sqrt{-1739}) $	100.00%						0.01%
$\Q(\sqrt{-1743}) $	22						22
$\Q(\sqrt{-1743}) $	100.00%						0.01%
$\Q(\sqrt{-437}) $	19						19
$\Q(\sqrt{-437}) $	100.00%						0.01%
$\Q(\sqrt{-1751}) $	8						8
$\Q(\sqrt{-1751}) $	100.00%						0.00%
$\Q(\sqrt{-438}) $	10						10
$\Q(\sqrt{-438}) $	100.00%						0.00%
$\Q(\sqrt{-1763}) $	11						11
$\Q(\sqrt{-1763}) $	100.00%						0.00%
$\Q(\sqrt{-1767}) $	27						27
$\Q(\sqrt{-1767}) $	100.00%						0.01%
$\Q(\sqrt{-442}) $	8						8
$\Q(\sqrt{-442}) $	100.00%						0.00%
$\Q(\sqrt{-1771}) $	9						9
$\Q(\sqrt{-1771}) $	100.00%						0.00%
$\Q(\sqrt{-1779}) $	1						1
$\Q(\sqrt{-1779}) $	100.00%						0.00%
$\Q(\sqrt{-445}) $	9						9
$\Q(\sqrt{-445}) $	100.00%						0.00%
$\Q(\sqrt{-446}) $	11						11
$\Q(\sqrt{-446}) $	100.00%						0.00%
$\Q(\sqrt{-1787}) $	3						3
$\Q(\sqrt{-1787}) $	100.00%						0.00%
$\Q(\sqrt{-449}) $	21						21
$\Q(\sqrt{-449}) $	100.00%						0.01%
$\Q(\sqrt{-1799}) $	2						2
$\Q(\sqrt{-1799}) $	100.00%						0.00%
$\Q(\sqrt{-1803}) $	9						9
$\Q(\sqrt{-1803}) $	100.00%						0.00%
$\Q(\sqrt{-1807}) $	4						4
$\Q(\sqrt{-1807}) $	100.00%						0.00%
$\Q(\sqrt{-1811}) $	11						11
$\Q(\sqrt{-1811}) $	100.00%						0.00%
$\Q(\sqrt{-453}) $	14						14
$\Q(\sqrt{-453}) $	100.00%						0.01%
$\Q(\sqrt{-1819}) $	1						1
$\Q(\sqrt{-1819}) $	100.00%						0.00%
$\Q(\sqrt{-1823}) $	2						2
$\Q(\sqrt{-1823}) $	100.00%						0.00%
$\Q(\sqrt{-457}) $	7						7
$\Q(\sqrt{-457}) $	100.00%						0.00%
$\Q(\sqrt{-458}) $	2						2
$\Q(\sqrt{-458}) $	100.00%						0.00%
$\Q(\sqrt{-1835}) $	2						2
$\Q(\sqrt{-1835}) $	100.00%						0.00%
$\Q(\sqrt{-1839}) $	33						33
$\Q(\sqrt{-1839}) $	100.00%						0.01%
$\Q(\sqrt{-461}) $	4						4
$\Q(\sqrt{-461}) $	100.00%						0.00%
$\Q(\sqrt{-1847}) $	5						5
$\Q(\sqrt{-1847}) $	100.00%						0.00%
$\Q(\sqrt{-462}) $	11						11
$\Q(\sqrt{-462}) $	100.00%						0.00%
$\Q(\sqrt{-1851}) $	1						1
$\Q(\sqrt{-1851}) $	100.00%						0.00%
$\Q(\sqrt{-465}) $	17						17
$\Q(\sqrt{-465}) $	100.00%						0.01%
$\Q(\sqrt{-466}) $	9						9
$\Q(\sqrt{-466}) $	100.00%						0.00%
$\Q(\sqrt{-1871}) $	2						2
$\Q(\sqrt{-1871}) $	100.00%						0.00%
$\Q(\sqrt{-469}) $	15						15
$\Q(\sqrt{-469}) $	100.00%						0.01%
$\Q(\sqrt{-1879}) $	23						23
$\Q(\sqrt{-1879}) $	100.00%						0.01%
$\Q(\sqrt{-470}) $	3						3
$\Q(\sqrt{-470}) $	100.00%						0.00%
$\Q(\sqrt{-1883}) $	2						2
$\Q(\sqrt{-1883}) $	100.00%						0.00%
$\Q(\sqrt{-1887}) $	1						1
$\Q(\sqrt{-1887}) $	100.00%						0.00%
$\Q(\sqrt{-1891}) $	1						1
$\Q(\sqrt{-1891}) $	100.00%						0.00%
$\Q(\sqrt{-473}) $	14						14
$\Q(\sqrt{-473}) $	100.00%						0.01%
$\Q(\sqrt{-1895}) $	2						2
$\Q(\sqrt{-1895}) $	100.00%						0.00%
$\Q(\sqrt{-474}) $	1						1
$\Q(\sqrt{-474}) $	100.00%						0.00%
$\Q(\sqrt{-1903}) $	1						1
$\Q(\sqrt{-1903}) $	100.00%						0.00%
$\Q(\sqrt{-1907}) $	2						2
$\Q(\sqrt{-1907}) $	100.00%						0.00%
$\Q(\sqrt{-478}) $	1						1
$\Q(\sqrt{-478}) $	100.00%						0.00%
$\Q(\sqrt{-1919}) $	35						35
$\Q(\sqrt{-1919}) $	100.00%						0.01%
$\Q(\sqrt{-1923}) $	1						1
$\Q(\sqrt{-1923}) $	100.00%						0.00%
$\Q(\sqrt{-481}) $	16						16
$\Q(\sqrt{-481}) $	100.00%						0.01%
$\Q(\sqrt{-482}) $	19						19
$\Q(\sqrt{-482}) $	100.00%						0.01%
$\Q(\sqrt{-1931}) $	3						3
$\Q(\sqrt{-1931}) $	100.00%						0.00%
$\Q(\sqrt{-1939}) $	6						6
$\Q(\sqrt{-1939}) $	100.00%						0.00%
$\Q(\sqrt{-485}) $	2						2
$\Q(\sqrt{-485}) $	100.00%						0.00%
$\Q(\sqrt{-1943}) $	27						27
$\Q(\sqrt{-1943}) $	100.00%						0.01%
$\Q(\sqrt{-1947}) $	8						8
$\Q(\sqrt{-1947}) $	100.00%						0.00%
$\Q(\sqrt{-1955}) $	14						14
$\Q(\sqrt{-1955}) $	100.00%						0.01%
$\Q(\sqrt{-489}) $	18						18
$\Q(\sqrt{-489}) $	100.00%						0.01%
$\Q(\sqrt{-1959}) $	1						1
$\Q(\sqrt{-1959}) $	100.00%						0.00%
$\Q(\sqrt{-1967}) $	30						30
$\Q(\sqrt{-1967}) $	100.00%						0.01%
$\Q(\sqrt{-494}) $	24						24
$\Q(\sqrt{-494}) $	100.00%						0.01%
$\Q(\sqrt{-1979}) $	2						2
$\Q(\sqrt{-1979}) $	100.00%						0.00%
$\Q(\sqrt{-1983}) $	17						17
$\Q(\sqrt{-1983}) $	100.00%						0.01%
$\Q(\sqrt{-497}) $	19						19
$\Q(\sqrt{-497}) $	100.00%						0.01%
$\Q(\sqrt{-1991}) $	42						42
$\Q(\sqrt{-1991}) $	100.00%						0.02%
$\Q(\sqrt{-498}) $	10						10
$\Q(\sqrt{-498}) $	100.00%						0.00%
$\Q(\sqrt{-1995}) $	2						2
$\Q(\sqrt{-1995}) $	100.00%						0.00%
$\Q(\sqrt{-2003}) $	2						2
$\Q(\sqrt{-2003}) $	100.00%						0.00%
$\Q(\sqrt{-501}) $	2						2
$\Q(\sqrt{-501}) $	100.00%						0.00%
$\Q(\sqrt{-2015}) $	2						2
$\Q(\sqrt{-2015}) $	100.00%						0.00%
$\Q(\sqrt{-2019}) $	15						15
$\Q(\sqrt{-2019}) $	100.00%						0.01%
$\Q(\sqrt{-505}) $	9						9
$\Q(\sqrt{-505}) $	100.00%						0.00%
$\Q(\sqrt{-506}) $	3						3
$\Q(\sqrt{-506}) $	100.00%						0.00%
$\Q(\sqrt{-2027}) $	2						2
$\Q(\sqrt{-2027}) $	100.00%						0.00%
$\Q(\sqrt{-2031}) $	1						1
$\Q(\sqrt{-2031}) $	100.00%						0.00%
$\Q(\sqrt{-2035}) $	7						7
$\Q(\sqrt{-2035}) $	100.00%						0.00%
$\Q(\sqrt{-509}) $	10						10
$\Q(\sqrt{-509}) $	100.00%						0.00%
$\Q(\sqrt{-2039}) $	4						4
$\Q(\sqrt{-2039}) $	100.00%						0.00%
$\Q(\sqrt{-510}) $	17						17
$\Q(\sqrt{-510}) $	100.00%						0.01%
$\Q(\sqrt{-2051}) $	18						18
$\Q(\sqrt{-2051}) $	100.00%						0.01%
$\Q(\sqrt{-2055}) $	23						23
$\Q(\sqrt{-2055}) $	100.00%						0.01%
$\Q(\sqrt{-514}) $	15						15
$\Q(\sqrt{-514}) $	100.00%						0.01%
$\Q(\sqrt{-2059}) $	7						7
$\Q(\sqrt{-2059}) $	100.00%						0.00%
$\Q(\sqrt{-2063}) $	8						8
$\Q(\sqrt{-2063}) $	100.00%						0.00%
$\Q(\sqrt{-2067}) $	4						4
$\Q(\sqrt{-2067}) $	100.00%						0.00%
$\Q(\sqrt{-517}) $	12						12
$\Q(\sqrt{-517}) $	100.00%						0.01%
$\Q(\sqrt{-2071}) $	5						5
$\Q(\sqrt{-2071}) $	100.00%						0.00%
$\Q(\sqrt{-518}) $	15						15
$\Q(\sqrt{-518}) $	100.00%						0.01%
$\Q(\sqrt{-521}) $	27						27
$\Q(\sqrt{-521}) $	100.00%						0.01%
$\Q(\sqrt{-2087}) $	2						2
$\Q(\sqrt{-2087}) $	100.00%						0.00%
$\Q(\sqrt{-2091}) $	11						11
$\Q(\sqrt{-2091}) $	100.00%						0.00%
$\Q(\sqrt{-2095}) $	14						14
$\Q(\sqrt{-2095}) $	100.00%						0.01%
$\Q(\sqrt{-2099}) $	2						2
$\Q(\sqrt{-2099}) $	100.00%						0.00%
$\Q(\sqrt{-2103}) $	1						1
$\Q(\sqrt{-2103}) $	100.00%						0.00%
$\Q(\sqrt{-526}) $	1						1
$\Q(\sqrt{-526}) $	100.00%						0.00%
$\Q(\sqrt{-2111}) $	2						2
$\Q(\sqrt{-2111}) $	100.00%						0.00%
$\Q(\sqrt{-530}) $	17						17
$\Q(\sqrt{-530}) $	100.00%						0.01%
$\Q(\sqrt{-2123}) $	3						3
$\Q(\sqrt{-2123}) $	100.00%						0.00%
$\Q(\sqrt{-2127}) $	16						16
$\Q(\sqrt{-2127}) $	100.00%						0.01%
$\Q(\sqrt{-533}) $	2						2
$\Q(\sqrt{-533}) $	100.00%						0.00%
$\Q(\sqrt{-2135}) $	23						23
$\Q(\sqrt{-2135}) $	100.00%						0.01%
$\Q(\sqrt{-534}) $	13						13
$\Q(\sqrt{-534}) $	100.00%						0.01%
$\Q(\sqrt{-2139}) $	6						6
$\Q(\sqrt{-2139}) $	100.00%						0.00%
$\Q(\sqrt{-2147}) $	2						2
$\Q(\sqrt{-2147}) $	100.00%						0.00%
$\Q(\sqrt{-537}) $	9						9
$\Q(\sqrt{-537}) $	100.00%						0.00%
$\Q(\sqrt{-2159}) $	8						8
$\Q(\sqrt{-2159}) $	100.00%						0.00%
$\Q(\sqrt{-2163}) $	7						7
$\Q(\sqrt{-2163}) $	100.00%						0.00%
$\Q(\sqrt{-2167}) $	1						1
$\Q(\sqrt{-2167}) $	100.00%						0.00%
$\Q(\sqrt{-542}) $	4						4
$\Q(\sqrt{-542}) $	100.00%						0.00%
$\Q(\sqrt{-2171}) $	2						2
$\Q(\sqrt{-2171}) $	100.00%						0.00%
$\Q(\sqrt{-545}) $	17						17
$\Q(\sqrt{-545}) $	100.00%						0.01%
$\Q(\sqrt{-2183}) $	2						2
$\Q(\sqrt{-2183}) $	100.00%						0.00%
$\Q(\sqrt{-546}) $	14						14
$\Q(\sqrt{-546}) $	100.00%						0.01%
$\Q(\sqrt{-2195}) $	2						2
$\Q(\sqrt{-2195}) $	100.00%						0.00%
$\Q(\sqrt{-2199}) $	22						22
$\Q(\sqrt{-2199}) $	100.00%						0.01%
$\Q(\sqrt{-2207}) $	2						2
$\Q(\sqrt{-2207}) $	100.00%						0.00%
$\Q(\sqrt{-2211}) $	9						9
$\Q(\sqrt{-2211}) $	100.00%						0.00%
$\Q(\sqrt{-553}) $	6						6
$\Q(\sqrt{-553}) $	100.00%						0.00%
$\Q(\sqrt{-554}) $	2						2
$\Q(\sqrt{-554}) $	100.00%						0.00%
$\Q(\sqrt{-2219}) $	12						12
$\Q(\sqrt{-2219}) $	100.00%						0.01%
$\Q(\sqrt{-557}) $	2						2
$\Q(\sqrt{-557}) $	100.00%						0.00%
$\Q(\sqrt{-2231}) $	3						3
$\Q(\sqrt{-2231}) $	100.00%						0.00%
$\Q(\sqrt{-2235}) $	7						7
$\Q(\sqrt{-2235}) $	100.00%						0.00%
$\Q(\sqrt{-2243}) $	4						4
$\Q(\sqrt{-2243}) $	100.00%						0.00%
$\Q(\sqrt{-561}) $	12						12
$\Q(\sqrt{-561}) $	100.00%						0.01%
$\Q(\sqrt{-2247}) $	1						1
$\Q(\sqrt{-2247}) $	100.00%						0.00%
$\Q(\sqrt{-562}) $	5						5
$\Q(\sqrt{-562}) $	100.00%						0.00%
$\Q(\sqrt{-2255}) $	23						23
$\Q(\sqrt{-2255}) $	100.00%						0.01%
$\Q(\sqrt{-566}) $	4						4
$\Q(\sqrt{-566}) $	100.00%						0.00%
$\Q(\sqrt{-2267}) $	2						2
$\Q(\sqrt{-2267}) $	100.00%						0.00%
$\Q(\sqrt{-2271}) $	22						22
$\Q(\sqrt{-2271}) $	100.00%						0.01%
$\Q(\sqrt{-569}) $	17						17
$\Q(\sqrt{-569}) $	100.00%						0.01%
$\Q(\sqrt{-2279}) $	27						27
$\Q(\sqrt{-2279}) $	100.00%						0.01%
$\Q(\sqrt{-570}) $	11						11
$\Q(\sqrt{-570}) $	100.00%						0.00%
$\Q(\sqrt{-2283}) $	2						2
$\Q(\sqrt{-2283}) $	100.00%						0.00%
$\Q(\sqrt{-2287}) $	2						2
$\Q(\sqrt{-2287}) $	100.00%						0.00%
$\Q(\sqrt{-2291}) $	2						2
$\Q(\sqrt{-2291}) $	100.00%						0.00%
$\Q(\sqrt{-573}) $	1						1
$\Q(\sqrt{-573}) $	100.00%						0.00%
$\Q(\sqrt{-574}) $	2						2
$\Q(\sqrt{-574}) $	100.00%						0.00%
$\Q(\sqrt{-2307}) $	6						6
$\Q(\sqrt{-2307}) $	100.00%						0.00%
$\Q(\sqrt{-577}) $	7						7
$\Q(\sqrt{-577}) $	100.00%						0.00%
$\Q(\sqrt{-2315}) $	2						2
$\Q(\sqrt{-2315}) $	100.00%						0.00%
$\Q(\sqrt{-2319}) $	1						1
$\Q(\sqrt{-2319}) $	100.00%						0.00%
$\Q(\sqrt{-2323}) $	7						7
$\Q(\sqrt{-2323}) $	100.00%						0.00%
$\Q(\sqrt{-581}) $	5						5
$\Q(\sqrt{-581}) $	100.00%						0.00%
$\Q(\sqrt{-2327}) $	6						6
$\Q(\sqrt{-2327}) $	100.00%						0.00%
$\Q(\sqrt{-582}) $	9						9
$\Q(\sqrt{-582}) $	100.00%						0.00%
$\Q(\sqrt{-2339}) $	2						2
$\Q(\sqrt{-2339}) $	100.00%						0.00%
$\Q(\sqrt{-2343}) $	17						17
$\Q(\sqrt{-2343}) $	100.00%						0.01%
$\Q(\sqrt{-586}) $	1						1
$\Q(\sqrt{-586}) $	100.00%						0.00%
$\Q(\sqrt{-2351}) $	19						19
$\Q(\sqrt{-2351}) $	100.00%						0.01%
$\Q(\sqrt{-2355}) $	1						1
$\Q(\sqrt{-2355}) $	100.00%						0.00%
$\Q(\sqrt{-589}) $	11						11
$\Q(\sqrt{-589}) $	100.00%						0.00%
$\Q(\sqrt{-2359}) $	18						18
$\Q(\sqrt{-2359}) $	100.00%						0.01%
$\Q(\sqrt{-590}) $	2						2
$\Q(\sqrt{-590}) $	100.00%						0.00%
$\Q(\sqrt{-2363}) $	2						2
$\Q(\sqrt{-2363}) $	100.00%						0.00%
$\Q(\sqrt{-593}) $	15						15
$\Q(\sqrt{-593}) $	100.00%						0.01%
$\Q(\sqrt{-2379}) $	8						8
$\Q(\sqrt{-2379}) $	100.00%						0.00%
$\Q(\sqrt{-2387}) $	4						4
$\Q(\sqrt{-2387}) $	100.00%						0.00%
$\Q(\sqrt{-597}) $	7						7
$\Q(\sqrt{-597}) $	100.00%						0.00%
$\Q(\sqrt{-2391}) $	4						4
$\Q(\sqrt{-2391}) $	100.00%						0.00%
$\Q(\sqrt{-598}) $	7						7
$\Q(\sqrt{-598}) $	100.00%						0.00%
$\Q(\sqrt{-2399}) $	2						2
$\Q(\sqrt{-2399}) $	100.00%						0.00%
$\Q(\sqrt{-601}) $	13						13
$\Q(\sqrt{-601}) $	100.00%						0.01%
$\Q(\sqrt{-2407}) $	13						13
$\Q(\sqrt{-2407}) $	100.00%						0.01%
$\Q(\sqrt{-602}) $	14						14
$\Q(\sqrt{-602}) $	100.00%						0.01%
$\Q(\sqrt{-2411}) $	2						2
$\Q(\sqrt{-2411}) $	100.00%						0.00%
$\Q(\sqrt{-2415}) $	20						20
$\Q(\sqrt{-2415}) $	100.00%						0.01%
$\Q(\sqrt{-2419}) $	7						7
$\Q(\sqrt{-2419}) $	100.00%						0.00%
$\Q(\sqrt{-2423}) $	3						3
$\Q(\sqrt{-2423}) $	100.00%						0.00%
$\Q(\sqrt{-606}) $	11						11
$\Q(\sqrt{-606}) $	100.00%						0.00%
$\Q(\sqrt{-2427}) $	1						1
$\Q(\sqrt{-2427}) $	100.00%						0.00%
$\Q(\sqrt{-2431}) $	18						18
$\Q(\sqrt{-2431}) $	100.00%						0.01%
$\Q(\sqrt{-2435}) $	2						2
$\Q(\sqrt{-2435}) $	100.00%						0.00%
$\Q(\sqrt{-609}) $	12						12
$\Q(\sqrt{-609}) $	100.00%						0.01%
$\Q(\sqrt{-610}) $	7						7
$\Q(\sqrt{-610}) $	100.00%						0.00%
$\Q(\sqrt{-2447}) $	2						2
$\Q(\sqrt{-2447}) $	100.00%						0.00%
$\Q(\sqrt{-2451}) $	6						6
$\Q(\sqrt{-2451}) $	100.00%						0.00%
$\Q(\sqrt{-614}) $	7						7
$\Q(\sqrt{-614}) $	100.00%						0.00%
$\Q(\sqrt{-2459}) $	2						2
$\Q(\sqrt{-2459}) $	100.00%						0.00%
$\Q(\sqrt{-2463}) $	1						1
$\Q(\sqrt{-2463}) $	100.00%						0.00%
$\Q(\sqrt{-2467}) $	1						1
$\Q(\sqrt{-2467}) $	100.00%						0.00%
$\Q(\sqrt{-617}) $	11						11
$\Q(\sqrt{-617}) $	100.00%						0.00%
$\Q(\sqrt{-2471}) $	2						2
$\Q(\sqrt{-2471}) $	100.00%						0.00%
$\Q(\sqrt{-618}) $	1						1
$\Q(\sqrt{-618}) $	100.00%						0.00%
$\Q(\sqrt{-2479}) $	17						17
$\Q(\sqrt{-2479}) $	100.00%						0.01%
$\Q(\sqrt{-2483}) $	4						4
$\Q(\sqrt{-2483}) $	100.00%						0.00%
$\Q(\sqrt{-2487}) $	14						14
$\Q(\sqrt{-2487}) $	100.00%						0.01%
$\Q(\sqrt{-622}) $	1						1
$\Q(\sqrt{-622}) $	100.00%						0.00%
$\Q(\sqrt{-2491}) $	7						7
$\Q(\sqrt{-2491}) $	100.00%						0.00%
$\Q(\sqrt{-2495}) $	2						2
$\Q(\sqrt{-2495}) $	100.00%						0.00%

Distribution of computed $\operatorname{SL}_2$ levels by base field and level norm

The set of weights computed for each level varies.

		level norm
		1-100	101-200	201-400	401-800	801-1600	1601-3200	3201-6400	Total
base field	$\Q(\sqrt{-3}) $	5		1	1				7
	$\Q(\sqrt{-3}) $	71.43%		14.29%	14.29%				0.15%
	$\Q(\sqrt{-1}) $	63	47	88	196	131			525
	$\Q(\sqrt{-1}) $	12.00%	8.95%	16.76%	37.33%	24.95%			11.35%
	$\Q(\sqrt{-7}) $	105	74	142	297	500	142		1260
	$\Q(\sqrt{-7}) $	8.33%	5.87%	11.27%	23.57%	39.68%	11.27%		27.24%
	$\Q(\sqrt{-2}) $	107	71	109	218	175			680
	$\Q(\sqrt{-2}) $	15.74%	10.44%	16.03%	32.06%	25.74%			14.70%
	$\Q(\sqrt{-11}) $	97	91	132	222	402	202		1146
	$\Q(\sqrt{-11}) $	8.46%	7.94%	11.52%	19.37%	35.08%	17.63%		24.77%
	$\Q(\sqrt{-19}) $	74	71	136	99	114			494
	$\Q(\sqrt{-19}) $	14.98%	14.37%	27.53%	20.04%	23.08%			10.68%
	$\Q(\sqrt{-43}) $	47	51	91	161		1		351
	$\Q(\sqrt{-43}) $	13.39%	14.53%	25.93%	45.87%		0.28%		7.59%
	$\Q(\sqrt{-67}) $	39	40	55				1	135
	$\Q(\sqrt{-67}) $	28.89%	29.63%	40.74%				0.74%	2.92%
	$\Q(\sqrt{-163}) $	25	3						28
	$\Q(\sqrt{-163}) $	89.29%	10.71%						0.61%

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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Distribution of Bianchi modular forms by base field and level norm

Distribution of computed $\operatorname{GL}_2$ levels by base field and level norm

Distribution of computed $\operatorname{SL}_2$ levels by base field and level norm

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.