Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(29,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.g (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 29.11 | ||
Character | \(\chi\) | \(=\) | 201.29 |
Dual form | 201.3.g.b.104.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.19394 | − | 1.26667i | −1.09697 | − | 0.633335i | −0.161545 | − | 0.986865i | \(-0.551648\pi\) |
−0.935423 | + | 0.353530i | \(0.884981\pi\) | |||||||
\(3\) | −1.19967 | − | 2.74969i | −0.399891 | − | 0.916563i | ||||
\(4\) | 1.20891 | + | 2.09389i | 0.302227 | + | 0.523472i | ||||
\(5\) | − | 2.77685i | − | 0.555370i | −0.960672 | − | 0.277685i | \(-0.910433\pi\) | ||
0.960672 | − | 0.277685i | \(-0.0895672\pi\) | |||||||
\(6\) | −0.850943 | + | 7.55223i | −0.141824 | + | 1.25871i | ||||
\(7\) | 5.01703 | + | 8.68975i | 0.716719 | + | 1.24139i | 0.962293 | + | 0.272015i | \(0.0876902\pi\) |
−0.245574 | + | 0.969378i | \(0.578977\pi\) | |||||||
\(8\) | 4.00822i | 0.501027i | ||||||||
\(9\) | −6.12157 | + | 6.59745i | −0.680175 | + | 0.733050i | ||||
\(10\) | −3.51736 | + | 6.09224i | −0.351736 | + | 0.609224i | ||||
\(11\) | −1.08300 | + | 0.625270i | −0.0984546 | + | 0.0568428i | −0.548419 | − | 0.836204i | \(-0.684770\pi\) |
0.449964 | + | 0.893047i | \(0.351437\pi\) | |||||||
\(12\) | 4.30725 | − | 5.83610i | 0.358937 | − | 0.486341i | ||||
\(13\) | −7.44610 | + | 12.8970i | −0.572777 | + | 0.992078i | 0.423503 | + | 0.905895i | \(0.360800\pi\) |
−0.996279 | + | 0.0861835i | \(0.972533\pi\) | |||||||
\(14\) | − | 25.4197i | − | 1.81569i | ||||||
\(15\) | −7.63548 | + | 3.33131i | −0.509032 | + | 0.222087i | ||||
\(16\) | 9.91272 | − | 17.1693i | 0.619545 | − | 1.07308i | ||||
\(17\) | 16.3077 | + | 9.41524i | 0.959275 | + | 0.553838i | 0.895950 | − | 0.444155i | \(-0.146496\pi\) |
0.0633251 | + | 0.997993i | \(0.479830\pi\) | |||||||
\(18\) | 21.7871 | − | 6.72037i | 1.21040 | − | 0.373354i | ||||
\(19\) | −4.57594 | + | 7.92577i | −0.240839 | + | 0.417146i | −0.960954 | − | 0.276710i | \(-0.910756\pi\) |
0.720114 | + | 0.693855i | \(0.244089\pi\) | |||||||
\(20\) | 5.81442 | − | 3.35695i | 0.290721 | − | 0.167848i | ||||
\(21\) | 17.8753 | − | 24.2201i | 0.851206 | − | 1.15334i | ||||
\(22\) | 3.16805 | 0.144002 | ||||||||
\(23\) | −18.7825 | − | 10.8441i | −0.816631 | − | 0.471482i | 0.0326224 | − | 0.999468i | \(-0.489614\pi\) |
−0.849253 | + | 0.527986i | \(0.822947\pi\) | |||||||
\(24\) | 11.0213 | − | 4.80855i | 0.459223 | − | 0.200356i | ||||
\(25\) | 17.2891 | 0.691564 | ||||||||
\(26\) | 32.6725 | − | 18.8635i | 1.25664 | − | 0.725519i | ||||
\(27\) | 25.4848 | + | 8.91765i | 0.943882 | + | 0.330283i | ||||
\(28\) | −12.1302 | + | 21.0102i | −0.433223 | + | 0.750364i | ||||
\(29\) | −26.7578 | + | 15.4486i | −0.922683 | + | 0.532711i | −0.884490 | − | 0.466559i | \(-0.845494\pi\) |
−0.0381931 | + | 0.999270i | \(0.512160\pi\) | |||||||
\(30\) | 20.9714 | + | 2.36294i | 0.699048 | + | 0.0787648i | ||||
\(31\) | 16.2900 | + | 28.2151i | 0.525484 | + | 0.910165i | 0.999559 | + | 0.0296807i | \(0.00944903\pi\) |
−0.474076 | + | 0.880484i | \(0.657218\pi\) | |||||||
\(32\) | −29.6109 | + | 17.0958i | −0.925340 | + | 0.534245i | ||||
\(33\) | 3.01854 | + | 2.22779i | 0.0914710 | + | 0.0675089i | ||||
\(34\) | −23.8520 | − | 41.3129i | −0.701530 | − | 1.21508i | ||||
\(35\) | 24.1302 | − | 13.9316i | 0.689433 | − | 0.398044i | ||||
\(36\) | −21.2147 | − | 4.84219i | −0.589298 | − | 0.134505i | ||||
\(37\) | 19.7928 | − | 34.2821i | 0.534941 | − | 0.926544i | −0.464226 | − | 0.885717i | \(-0.653667\pi\) |
0.999166 | − | 0.0408274i | \(-0.0129994\pi\) | |||||||
\(38\) | 20.0787 | − | 11.5924i | 0.528386 | − | 0.305064i | ||||
\(39\) | 44.3957 | + | 5.00226i | 1.13835 | + | 0.128263i | ||||
\(40\) | 11.1302 | 0.278256 | ||||||||
\(41\) | −11.4380 | + | 6.60376i | −0.278977 | + | 0.161067i | −0.632960 | − | 0.774184i | \(-0.718160\pi\) |
0.353983 | + | 0.935252i | \(0.384827\pi\) | |||||||
\(42\) | −69.8962 | + | 30.4953i | −1.66420 | + | 0.726078i | ||||
\(43\) | 16.8077 | 0.390878 | 0.195439 | − | 0.980716i | \(-0.437387\pi\) | ||||
0.195439 | + | 0.980716i | \(0.437387\pi\) | |||||||
\(44\) | −2.61849 | − | 1.51179i | −0.0595112 | − | 0.0343588i | ||||
\(45\) | 18.3201 | + | 16.9987i | 0.407114 | + | 0.377749i | ||||
\(46\) | 27.4718 | + | 47.5825i | 0.597212 | + | 1.03440i | ||||
\(47\) | −10.7896 | + | 6.22939i | −0.229566 | + | 0.132540i | −0.610372 | − | 0.792115i | \(-0.708980\pi\) |
0.380806 | + | 0.924655i | \(0.375647\pi\) | |||||||
\(48\) | −59.1023 | − | 6.65932i | −1.23130 | − | 0.138736i | ||||
\(49\) | −25.8412 | + | 44.7583i | −0.527371 | + | 0.913434i | ||||
\(50\) | −37.9312 | − | 21.8996i | −0.758624 | − | 0.437992i | ||||
\(51\) | 6.32512 | − | 56.1362i | 0.124022 | − | 1.10071i | ||||
\(52\) | −36.0065 | −0.692434 | ||||||||
\(53\) | − | 16.9415i | − | 0.319650i | −0.987145 | − | 0.159825i | \(-0.948907\pi\) | ||
0.987145 | − | 0.159825i | \(-0.0510930\pi\) | |||||||
\(54\) | −44.6164 | − | 51.8456i | −0.826229 | − | 0.960104i | ||||
\(55\) | 1.73628 | + | 3.00733i | 0.0315688 | + | 0.0546788i | ||||
\(56\) | −34.8304 | + | 20.1093i | −0.621972 | + | 0.359096i | ||||
\(57\) | 27.2830 | + | 3.07410i | 0.478650 | + | 0.0539316i | ||||
\(58\) | 78.2733 | 1.34954 | ||||||||
\(59\) | 65.1807i | 1.10476i | 0.833593 | + | 0.552379i | \(0.186280\pi\) | ||||
−0.833593 | + | 0.552379i | \(0.813720\pi\) | |||||||
\(60\) | −16.2060 | − | 11.9606i | −0.270100 | − | 0.199343i | ||||
\(61\) | −45.2012 | + | 78.2908i | −0.741004 | + | 1.28346i | 0.211035 | + | 0.977478i | \(0.432317\pi\) |
−0.952039 | + | 0.305977i | \(0.901017\pi\) | |||||||
\(62\) | − | 82.5362i | − | 1.33123i | ||||||
\(63\) | −88.0423 | − | 20.0954i | −1.39750 | − | 0.318974i | ||||
\(64\) | 7.31748 | 0.114336 | ||||||||
\(65\) | 35.8131 | + | 20.6767i | 0.550971 | + | 0.318103i | ||||
\(66\) | −3.80062 | − | 8.71114i | −0.0575851 | − | 0.131987i | ||||
\(67\) | −18.1078 | − | 64.5066i | −0.270266 | − | 0.962786i | ||||
\(68\) | 45.5286i | 0.669538i | ||||||||
\(69\) | −7.28501 | + | 64.6554i | −0.105580 | + | 0.937035i | ||||
\(70\) | −70.5867 | −1.00838 | ||||||||
\(71\) | −54.8245 | + | 31.6529i | −0.772176 | + | 0.445816i | −0.833650 | − | 0.552293i | \(-0.813753\pi\) |
0.0614745 | + | 0.998109i | \(0.480420\pi\) | |||||||
\(72\) | −26.4440 | − | 24.5366i | −0.367278 | − | 0.340786i | ||||
\(73\) | −27.6669 | + | 47.9204i | −0.378998 | + | 0.656444i | −0.990917 | − | 0.134477i | \(-0.957065\pi\) |
0.611919 | + | 0.790921i | \(0.290398\pi\) | |||||||
\(74\) | −86.8483 | + | 50.1419i | −1.17363 | + | 0.677593i | ||||
\(75\) | −20.7412 | − | 47.5396i | −0.276550 | − | 0.633862i | ||||
\(76\) | −22.1276 | −0.291152 | ||||||||
\(77\) | −10.8669 | − | 6.27400i | −0.141128 | − | 0.0814805i | ||||
\(78\) | −91.0651 | − | 67.2093i | −1.16750 | − | 0.861658i | ||||
\(79\) | 56.8153 | + | 98.4069i | 0.719181 | + | 1.24566i | 0.961325 | + | 0.275417i | \(0.0888159\pi\) |
−0.242144 | + | 0.970240i | \(0.577851\pi\) | |||||||
\(80\) | −47.6767 | − | 27.5261i | −0.595959 | − | 0.344077i | ||||
\(81\) | −6.05267 | − | 80.7735i | −0.0747243 | − | 0.997204i | ||||
\(82\) | 33.4591 | 0.408038 | ||||||||
\(83\) | 110.147 | + | 63.5935i | 1.32707 | + | 0.766186i | 0.984846 | − | 0.173431i | \(-0.0554853\pi\) |
0.342228 | + | 0.939617i | \(0.388819\pi\) | |||||||
\(84\) | 72.3238 | + | 8.14904i | 0.860998 | + | 0.0970124i | ||||
\(85\) | 26.1447 | − | 45.2840i | 0.307585 | − | 0.532753i | ||||
\(86\) | −36.8751 | − | 21.2899i | −0.428780 | − | 0.247556i | ||||
\(87\) | 74.5795 | + | 55.0424i | 0.857236 | + | 0.632671i | ||||
\(88\) | −2.50622 | − | 4.34090i | −0.0284798 | − | 0.0493284i | ||||
\(89\) | 59.3003i | 0.666295i | 0.942875 | + | 0.333148i | \(0.108111\pi\) | ||||
−0.942875 | + | 0.333148i | \(0.891889\pi\) | |||||||
\(90\) | −18.6615 | − | 60.4997i | −0.207350 | − | 0.672218i | ||||
\(91\) | −149.429 | −1.64208 | ||||||||
\(92\) | − | 52.4380i | − | 0.569978i | ||||||
\(93\) | 58.0401 | − | 78.6413i | 0.624087 | − | 0.845605i | ||||
\(94\) | 31.5623 | 0.335769 | ||||||||
\(95\) | 22.0087 | + | 12.7067i | 0.231670 | + | 0.133755i | ||||
\(96\) | 82.5316 | + | 60.9113i | 0.859704 | + | 0.634493i | ||||
\(97\) | 84.9987 | − | 147.222i | 0.876275 | − | 1.51775i | 0.0208771 | − | 0.999782i | \(-0.493354\pi\) |
0.855398 | − | 0.517971i | \(-0.173313\pi\) | |||||||
\(98\) | 113.388 | − | 65.4645i | 1.15702 | − | 0.668005i | ||||
\(99\) | 2.50448 | − | 10.9727i | 0.0252977 | − | 0.110835i | ||||
\(100\) | 20.9009 | + | 36.2014i | 0.209009 | + | 0.362014i | ||||
\(101\) | 169.624 | − | 97.9327i | 1.67945 | − | 0.969631i | 0.717439 | − | 0.696621i | \(-0.245314\pi\) |
0.962011 | − | 0.273010i | \(-0.0880192\pi\) | |||||||
\(102\) | −84.9830 | + | 115.147i | −0.833166 | + | 1.12890i | ||||
\(103\) | −31.8431 | − | 55.1539i | −0.309156 | − | 0.535475i | 0.669022 | − | 0.743243i | \(-0.266713\pi\) |
−0.978178 | + | 0.207768i | \(0.933380\pi\) | |||||||
\(104\) | −51.6941 | − | 29.8456i | −0.497058 | − | 0.286977i | ||||
\(105\) | −67.2557 | − | 49.6371i | −0.640531 | − | 0.472734i | ||||
\(106\) | −21.4592 | + | 37.1685i | −0.202446 | + | 0.350646i | ||||
\(107\) | 172.192i | 1.60927i | 0.593769 | + | 0.804635i | \(0.297639\pi\) | ||||
−0.593769 | + | 0.804635i | \(0.702361\pi\) | |||||||
\(108\) | 12.1362 | + | 64.1429i | 0.112372 | + | 0.593916i | ||||
\(109\) | 83.3060 | 0.764275 | 0.382138 | − | 0.924105i | \(-0.375188\pi\) | ||||
0.382138 | + | 0.924105i | \(0.375188\pi\) | |||||||
\(110\) | − | 8.79719i | − | 0.0799745i | ||||||
\(111\) | −118.010 | − | 13.2967i | −1.06315 | − | 0.119790i | ||||
\(112\) | 198.930 | 1.77616 | ||||||||
\(113\) | −4.47920 | + | 2.58607i | −0.0396390 | + | 0.0228856i | −0.519689 | − | 0.854356i | \(-0.673952\pi\) |
0.480050 | + | 0.877241i | \(0.340619\pi\) | |||||||
\(114\) | −55.9634 | − | 41.3030i | −0.490907 | − | 0.362307i | ||||
\(115\) | −30.1124 | + | 52.1563i | −0.261847 | + | 0.453533i | ||||
\(116\) | −64.6954 | − | 37.3519i | −0.557719 | − | 0.321999i | ||||
\(117\) | −39.5056 | − | 128.075i | −0.337655 | − | 1.09466i | ||||
\(118\) | 82.5624 | − | 143.002i | 0.699681 | − | 1.21188i | ||||
\(119\) | 188.946i | 1.58778i | ||||||||
\(120\) | −13.3526 | − | 30.6047i | −0.111272 | − | 0.255039i | ||||
\(121\) | −59.7181 | + | 103.435i | −0.493538 | + | 0.854833i | ||||
\(122\) | 198.337 | − | 114.510i | 1.62572 | − | 0.938607i | ||||
\(123\) | 31.8802 | + | 23.5287i | 0.259188 | + | 0.191290i | ||||
\(124\) | −39.3862 | + | 68.2189i | −0.317631 | + | 0.550152i | ||||
\(125\) | − | 117.431i | − | 0.939444i | ||||||
\(126\) | 167.705 | + | 155.609i | 1.33099 | + | 1.23499i | ||||
\(127\) | −28.0620 | − | 48.6048i | −0.220960 | − | 0.382715i | 0.734139 | − | 0.678999i | \(-0.237586\pi\) |
−0.955100 | + | 0.296284i | \(0.904252\pi\) | |||||||
\(128\) | 102.389 | + | 59.1146i | 0.799917 | + | 0.461833i | ||||
\(129\) | −20.1638 | − | 46.2160i | −0.156308 | − | 0.358264i | ||||
\(130\) | −52.3811 | − | 90.7268i | −0.402932 | − | 0.697899i | ||||
\(131\) | 145.127i | 1.10784i | 0.832570 | + | 0.553919i | \(0.186868\pi\) | ||||
−0.832570 | + | 0.553919i | \(0.813132\pi\) | |||||||
\(132\) | −1.01561 | + | 9.01369i | −0.00769403 | + | 0.0682855i | ||||
\(133\) | −91.8306 | −0.690456 | ||||||||
\(134\) | −41.9812 | + | 164.460i | −0.313293 | + | 1.22731i | ||||
\(135\) | 24.7630 | − | 70.7676i | 0.183430 | − | 0.524204i | ||||
\(136\) | −37.7383 | + | 65.3647i | −0.277488 | + | 0.480623i | ||||
\(137\) | 128.963i | 0.941339i | 0.882310 | + | 0.470670i | \(0.155988\pi\) | ||||
−0.882310 | + | 0.470670i | \(0.844012\pi\) | |||||||
\(138\) | 97.8799 | − | 132.622i | 0.709275 | − | 0.961030i | ||||
\(139\) | −45.3889 | −0.326539 | −0.163269 | − | 0.986582i | \(-0.552204\pi\) | ||||
−0.163269 | + | 0.986582i | \(0.552204\pi\) | |||||||
\(140\) | 58.3422 | + | 33.6839i | 0.416730 | + | 0.240599i | ||||
\(141\) | 30.0729 | + | 22.1949i | 0.213283 | + | 0.157410i | ||||
\(142\) | 160.375 | 1.12940 | ||||||||
\(143\) | − | 18.6233i | − | 0.130233i | ||||||
\(144\) | 52.5923 | + | 170.502i | 0.365225 | + | 1.18404i | ||||
\(145\) | 42.8986 | + | 74.3025i | 0.295852 | + | 0.512431i | ||||
\(146\) | 121.399 | − | 70.0896i | 0.831498 | − | 0.480066i | ||||
\(147\) | 154.072 | + | 17.3600i | 1.04811 | + | 0.118095i | ||||
\(148\) | 95.7106 | 0.646693 | ||||||||
\(149\) | − | 266.822i | − | 1.79075i | −0.445309 | − | 0.895377i | \(-0.646906\pi\) | ||
0.445309 | − | 0.895377i | \(-0.353094\pi\) | |||||||
\(150\) | −14.7120 | + | 130.571i | −0.0980803 | + | 0.870475i | ||||
\(151\) | −92.5843 | + | 160.361i | −0.613141 | + | 1.06199i | 0.377566 | + | 0.925983i | \(0.376761\pi\) |
−0.990708 | + | 0.136009i | \(0.956572\pi\) | |||||||
\(152\) | −31.7682 | − | 18.3414i | −0.209001 | − | 0.120667i | ||||
\(153\) | −161.945 | + | 49.9530i | −1.05847 | + | 0.326490i | ||||
\(154\) | 15.8942 | + | 27.5295i | 0.103209 | + | 0.178763i | ||||
\(155\) | 78.3492 | − | 45.2349i | 0.505479 | − | 0.291838i | ||||
\(156\) | 43.1961 | + | 99.0068i | 0.276898 | + | 0.634659i | ||||
\(157\) | 51.8928 | − | 89.8810i | 0.330528 | − | 0.572490i | −0.652088 | − | 0.758143i | \(-0.726107\pi\) |
0.982615 | + | 0.185653i | \(0.0594400\pi\) | |||||||
\(158\) | − | 287.865i | − | 1.82193i | ||||||
\(159\) | −46.5837 | + | 20.3242i | −0.292980 | + | 0.127825i | ||||
\(160\) | 47.4726 | + | 82.2250i | 0.296704 | + | 0.513906i | ||||
\(161\) | − | 217.620i | − | 1.35168i | ||||||
\(162\) | −89.0343 | + | 184.879i | −0.549594 | + | 1.14123i | ||||
\(163\) | −61.1178 | − | 105.859i | −0.374956 | − | 0.649443i | 0.615365 | − | 0.788243i | \(-0.289009\pi\) |
−0.990320 | + | 0.138800i | \(0.955675\pi\) | |||||||
\(164\) | −27.6551 | − | 15.9667i | −0.168628 | − | 0.0973577i | ||||
\(165\) | 6.18625 | − | 8.38205i | 0.0374924 | − | 0.0508003i | ||||
\(166\) | −161.104 | − | 279.040i | −0.970505 | − | 1.68096i | ||||
\(167\) | 10.5432 | − | 6.08710i | 0.0631327 | − | 0.0364497i | −0.468101 | − | 0.883675i | \(-0.655062\pi\) |
0.531234 | + | 0.847225i | \(0.321728\pi\) | |||||||
\(168\) | 97.0795 | + | 71.6482i | 0.577854 | + | 0.426477i | ||||
\(169\) | −26.3887 | − | 45.7066i | −0.156146 | − | 0.270454i | ||||
\(170\) | −114.720 | + | 66.2335i | −0.674822 | + | 0.389609i | ||||
\(171\) | −24.2779 | − | 78.7077i | −0.141976 | − | 0.460279i | ||||
\(172\) | 20.3190 | + | 35.1935i | 0.118134 | + | 0.204613i | ||||
\(173\) | −144.428 | − | 83.3855i | −0.834843 | − | 0.481997i | 0.0206648 | − | 0.999786i | \(-0.493422\pi\) |
−0.855508 | + | 0.517789i | \(0.826755\pi\) | |||||||
\(174\) | −93.9023 | − | 215.227i | −0.539668 | − | 1.23694i | ||||
\(175\) | 86.7399 | + | 150.238i | 0.495657 | + | 0.858502i | ||||
\(176\) | 24.7925i | 0.140867i | ||||||||
\(177\) | 179.227 | − | 78.1954i | 1.01258 | − | 0.441782i | ||||
\(178\) | 75.1139 | − | 130.101i | 0.421988 | − | 0.730905i | ||||
\(179\) | 60.5265i | 0.338137i | 0.985604 | + | 0.169068i | \(0.0540759\pi\) | ||||
−0.985604 | + | 0.169068i | \(0.945924\pi\) | |||||||
\(180\) | −13.4460 | + | 58.9102i | −0.0747002 | + | 0.327279i | ||||
\(181\) | −148.745 | − | 257.635i | −0.821798 | − | 1.42340i | −0.904342 | − | 0.426809i | \(-0.859638\pi\) |
0.0825436 | − | 0.996587i | \(-0.473696\pi\) | |||||||
\(182\) | 327.838 | + | 189.278i | 1.80131 | + | 1.03999i | ||||
\(183\) | 269.502 | + | 30.3660i | 1.47269 | + | 0.165934i | ||||
\(184\) | 43.4655 | − | 75.2844i | 0.236225 | − | 0.409154i | ||||
\(185\) | −95.1964 | − | 54.9617i | −0.514575 | − | 0.297090i | ||||
\(186\) | −226.949 | + | 99.0164i | −1.22016 | + | 0.532346i | ||||
\(187\) | −23.5483 | −0.125927 | ||||||||
\(188\) | −26.0873 | − | 15.0615i | −0.138762 | − | 0.0801143i | ||||
\(189\) | 50.3659 | + | 266.197i | 0.266486 | + | 1.40845i | ||||
\(190\) | −32.1904 | − | 55.7555i | −0.169423 | − | 0.293450i | ||||
\(191\) | −90.2232 | − | 52.0904i | −0.472373 | − | 0.272725i | 0.244860 | − | 0.969559i | \(-0.421258\pi\) |
−0.717232 | + | 0.696834i | \(0.754591\pi\) | |||||||
\(192\) | −8.77857 | − | 20.1208i | −0.0457217 | − | 0.104796i | ||||
\(193\) | −232.941 | −1.20695 | −0.603474 | − | 0.797382i | \(-0.706217\pi\) | ||||
−0.603474 | + | 0.797382i | \(0.706217\pi\) | |||||||
\(194\) | −372.964 | + | 215.331i | −1.92249 | + | 1.10995i | ||||
\(195\) | 13.8905 | − | 123.280i | 0.0712335 | − | 0.632206i | ||||
\(196\) | −124.958 | −0.637543 | ||||||||
\(197\) | 180.905 | − | 104.446i | 0.918300 | − | 0.530181i | 0.0352074 | − | 0.999380i | \(-0.488791\pi\) |
0.883092 | + | 0.469199i | \(0.155457\pi\) | |||||||
\(198\) | −19.3934 | + | 20.9010i | −0.0979466 | + | 0.105561i | ||||
\(199\) | −75.9392 | + | 131.531i | −0.381604 | + | 0.660958i | −0.991292 | − | 0.131684i | \(-0.957962\pi\) |
0.609687 | + | 0.792642i | \(0.291295\pi\) | |||||||
\(200\) | 69.2984i | 0.346492i | ||||||||
\(201\) | −155.650 | + | 127.178i | −0.774377 | + | 0.632725i | ||||
\(202\) | −496.194 | −2.45641 | ||||||||
\(203\) | −268.490 | − | 155.013i | −1.32261 | − | 0.763608i | ||||
\(204\) | 125.189 | − | 54.6194i | 0.613674 | − | 0.267742i | ||||
\(205\) | 18.3377 | + | 31.7618i | 0.0894520 | + | 0.154935i | ||||
\(206\) | 161.339i | 0.783199i | ||||||||
\(207\) | 186.522 | − | 57.5338i | 0.901072 | − | 0.277941i | ||||
\(208\) | 147.622 | + | 255.689i | 0.709722 | + | 1.22927i | ||||
\(209\) | − | 11.4448i | − | 0.0547599i | ||||||
\(210\) | 84.6809 | + | 194.092i | 0.403242 | + | 0.924245i | ||||
\(211\) | −72.2837 | + | 125.199i | −0.342577 | + | 0.593360i | −0.984910 | − | 0.173065i | \(-0.944633\pi\) |
0.642334 | + | 0.766425i | \(0.277966\pi\) | |||||||
\(212\) | 35.4735 | − | 20.4806i | 0.167328 | − | 0.0966068i | ||||
\(213\) | 152.807 | + | 112.777i | 0.717404 | + | 0.529470i | ||||
\(214\) | 218.110 | − | 377.778i | 1.01921 | − | 1.76532i | ||||
\(215\) | − | 46.6726i | − | 0.217082i | ||||||
\(216\) | −35.7439 | + | 102.149i | −0.165481 | + | 0.472910i | ||||
\(217\) | −163.455 | + | 283.112i | −0.753248 | + | 1.30466i | ||||
\(218\) | −182.768 | − | 105.521i | −0.838386 | − | 0.484042i | ||||
\(219\) | 164.957 | + | 18.5865i | 0.753230 | + | 0.0848698i | ||||
\(220\) | −4.19801 | + | 7.27117i | −0.0190819 | + | 0.0330508i | ||||
\(221\) | −242.857 | + | 140.214i | −1.09890 | + | 0.634451i | ||||
\(222\) | 242.064 | + | 178.652i | 1.09038 | + | 0.804739i | ||||
\(223\) | 201.882 | 0.905299 | 0.452649 | − | 0.891689i | \(-0.350479\pi\) | ||||
0.452649 | + | 0.891689i | \(0.350479\pi\) | |||||||
\(224\) | −297.117 | − | 171.541i | −1.32642 | − | 0.765807i | ||||
\(225\) | −105.836 | + | 114.064i | −0.470384 | + | 0.506951i | ||||
\(226\) | 13.1028 | 0.0579769 | ||||||||
\(227\) | −131.863 | + | 76.1310i | −0.580894 | + | 0.335379i | −0.761488 | − | 0.648179i | \(-0.775531\pi\) |
0.180595 | + | 0.983558i | \(0.442198\pi\) | |||||||
\(228\) | 26.5458 | + | 60.8439i | 0.116429 | + | 0.266859i | ||||
\(229\) | 176.561 | − | 305.813i | 0.771010 | − | 1.33543i | −0.166001 | − | 0.986126i | \(-0.553085\pi\) |
0.937010 | − | 0.349302i | \(-0.113581\pi\) | |||||||
\(230\) | 132.130 | − | 76.2850i | 0.574476 | − | 0.331674i | ||||
\(231\) | −4.21485 | + | 37.4073i | −0.0182461 | + | 0.161936i | ||||
\(232\) | −61.9215 | − | 107.251i | −0.266903 | − | 0.462289i | ||||
\(233\) | −179.719 | + | 103.761i | −0.771325 | + | 0.445325i | −0.833347 | − | 0.552750i | \(-0.813578\pi\) |
0.0620219 | + | 0.998075i | \(0.480245\pi\) | |||||||
\(234\) | −75.5564 | + | 331.030i | −0.322891 | + | 1.41466i | ||||
\(235\) | 17.2981 | + | 29.9612i | 0.0736089 | + | 0.127494i | ||||
\(236\) | −136.481 | + | 78.7973i | −0.578309 | + | 0.333887i | ||||
\(237\) | 202.429 | − | 274.280i | 0.854130 | − | 1.15730i | ||||
\(238\) | 239.332 | − | 414.536i | 1.00560 | − | 1.74175i | ||||
\(239\) | −99.6248 | + | 57.5184i | −0.416840 | + | 0.240663i | −0.693725 | − | 0.720240i | \(-0.744031\pi\) |
0.276884 | + | 0.960903i | \(0.410698\pi\) | |||||||
\(240\) | −18.4919 | + | 164.118i | −0.0770498 | + | 0.683827i | ||||
\(241\) | 75.6578 | 0.313933 | 0.156966 | − | 0.987604i | \(-0.449829\pi\) | ||||
0.156966 | + | 0.987604i | \(0.449829\pi\) | |||||||
\(242\) | 262.035 | − | 151.286i | 1.08279 | − | 0.625150i | ||||
\(243\) | −214.841 | + | 113.545i | −0.884119 | + | 0.467262i | ||||
\(244\) | −218.576 | −0.895804 | ||||||||
\(245\) | 124.287 | + | 71.7572i | 0.507294 | + | 0.292886i | ||||
\(246\) | −40.1400 | − | 92.0022i | −0.163171 | − | 0.373993i | ||||
\(247\) | −68.1459 | − | 118.032i | −0.275894 | − | 0.477863i | ||||
\(248\) | −113.092 | + | 65.2939i | −0.456017 | + | 0.263282i | ||||
\(249\) | 42.7218 | − | 379.162i | 0.171574 | − | 1.52274i | ||||
\(250\) | −148.746 | + | 257.635i | −0.594983 | + | 1.03054i | ||||
\(251\) | −167.194 | − | 96.5293i | −0.666110 | − | 0.384579i | 0.128491 | − | 0.991711i | \(-0.458987\pi\) |
−0.794601 | + | 0.607132i | \(0.792320\pi\) | |||||||
\(252\) | −64.3575 | − | 208.644i | −0.255387 | − | 0.827953i | ||||
\(253\) | 27.1219 | 0.107201 | ||||||||
\(254\) | 142.181i | 0.559768i | ||||||||
\(255\) | −155.882 | − | 17.5639i | −0.611302 | − | 0.0688781i | ||||
\(256\) | −164.392 | − | 284.736i | −0.642157 | − | 1.11225i | ||||
\(257\) | −114.397 | + | 66.0469i | −0.445123 | + | 0.256992i | −0.705768 | − | 0.708443i | \(-0.749398\pi\) |
0.260645 | + | 0.965435i | \(0.416065\pi\) | |||||||
\(258\) | −14.3024 | + | 126.936i | −0.0554358 | + | 0.492000i | ||||
\(259\) | 397.204 | 1.53361 | ||||||||
\(260\) | 99.9849i | 0.384557i | ||||||||
\(261\) | 61.8784 | − | 271.103i | 0.237082 | − | 1.03871i | ||||
\(262\) | 183.828 | − | 318.399i | 0.701633 | − | 1.21526i | ||||
\(263\) | 415.049i | 1.57813i | 0.614309 | + | 0.789066i | \(0.289435\pi\) | ||||
−0.614309 | + | 0.789066i | \(0.710565\pi\) | |||||||
\(264\) | −8.92948 | + | 12.0990i | −0.0338238 | + | 0.0458295i | ||||
\(265\) | −47.0439 | −0.177524 | ||||||||
\(266\) | 201.471 | + | 116.319i | 0.757408 | + | 0.437290i | ||||
\(267\) | 163.057 | − | 71.1409i | 0.610701 | − | 0.266445i | ||||
\(268\) | 113.179 | − | 115.898i | 0.422310 | − | 0.432456i | ||||
\(269\) | − | 292.937i | − | 1.08898i | −0.838766 | − | 0.544492i | \(-0.816722\pi\) | ||
0.838766 | − | 0.544492i | \(-0.183278\pi\) | |||||||
\(270\) | −143.968 | + | 123.893i | −0.533213 | + | 0.458863i | ||||
\(271\) | 32.6499 | 0.120479 | 0.0602397 | − | 0.998184i | \(-0.480813\pi\) | ||||
0.0602397 | + | 0.998184i | \(0.480813\pi\) | |||||||
\(272\) | 323.307 | − | 186.661i | 1.18863 | − | 0.686254i | ||||
\(273\) | 179.266 | + | 410.884i | 0.656652 | + | 1.50507i | ||||
\(274\) | 163.354 | − | 282.938i | 0.596183 | − | 1.03262i | ||||
\(275\) | −18.7241 | + | 10.8104i | −0.0680876 | + | 0.0393104i | ||||
\(276\) | −144.188 | + | 62.9084i | −0.522420 | + | 0.227929i | ||||
\(277\) | 315.387 | 1.13858 | 0.569290 | − | 0.822137i | \(-0.307218\pi\) | ||||
0.569290 | + | 0.822137i | \(0.307218\pi\) | |||||||
\(278\) | 99.5804 | + | 57.4928i | 0.358203 | + | 0.206808i | ||||
\(279\) | −285.868 | − | 65.2484i | −1.02462 | − | 0.233865i | ||||
\(280\) | 55.8407 | + | 96.7189i | 0.199431 | + | 0.345425i | ||||
\(281\) | 219.504 | + | 126.731i | 0.781152 | + | 0.450999i | 0.836839 | − | 0.547450i | \(-0.184401\pi\) |
−0.0556861 | + | 0.998448i | \(0.517735\pi\) | |||||||
\(282\) | −37.8644 | − | 86.7865i | −0.134271 | − | 0.307754i | ||||
\(283\) | −265.254 | −0.937294 | −0.468647 | − | 0.883385i | \(-0.655258\pi\) | ||||
−0.468647 | + | 0.883385i | \(0.655258\pi\) | |||||||
\(284\) | −132.555 | − | 76.5309i | −0.466744 | − | 0.269475i | ||||
\(285\) | 8.53632 | − | 75.7609i | 0.0299520 | − | 0.265828i | ||||
\(286\) | −23.5896 | + | 40.8583i | −0.0824810 | + | 0.142861i | ||||
\(287\) | −114.770 | − | 66.2625i | −0.399896 | − | 0.230880i | ||||
\(288\) | 68.4762 | − | 300.010i | 0.237765 | − | 1.04170i | ||||
\(289\) | 32.7934 | + | 56.7999i | 0.113472 | + | 0.196540i | ||||
\(290\) | − | 217.353i | − | 0.749494i | ||||||
\(291\) | −506.785 | − | 57.1017i | −1.74153 | − | 0.196226i | ||||
\(292\) | −133.787 | −0.458173 | ||||||||
\(293\) | − | 520.418i | − | 1.77617i | −0.459680 | − | 0.888085i | \(-0.652036\pi\) | ||
0.459680 | − | 0.888085i | \(-0.347964\pi\) | |||||||
\(294\) | −316.035 | − | 233.245i | −1.07495 | − | 0.793352i | ||||
\(295\) | 180.997 | 0.613549 | ||||||||
\(296\) | 137.410 | + | 79.3339i | 0.464224 | + | 0.268020i | ||||
\(297\) | −33.1760 | + | 6.27709i | −0.111704 | + | 0.0211350i | ||||
\(298\) | −337.976 | + | 585.392i | −1.13415 | + | 1.96440i | ||||
\(299\) | 279.713 | − | 161.492i | 0.935494 | − | 0.540108i | ||||
\(300\) | 74.4684 | − | 100.901i | 0.248228 | − | 0.336336i | ||||
\(301\) | 84.3249 | + | 146.055i | 0.280149 | + | 0.485233i | ||||
\(302\) | 406.248 | − | 234.548i | 1.34519 | − | 0.776648i | ||||
\(303\) | −472.778 | − | 348.927i | −1.56032 | − | 1.15158i | ||||
\(304\) | 90.7201 | + | 157.132i | 0.298421 | + | 0.516881i | ||||
\(305\) | 217.402 | + | 125.517i | 0.712793 | + | 0.411531i | ||||
\(306\) | 418.571 | + | 95.5375i | 1.36788 | + | 0.312214i | ||||
\(307\) | 230.654 | − | 399.504i | 0.751315 | − | 1.30131i | −0.195871 | − | 0.980630i | \(-0.562753\pi\) |
0.947186 | − | 0.320685i | \(-0.103913\pi\) | |||||||
\(308\) | − | 30.3387i | − | 0.0985024i | ||||||
\(309\) | −113.455 | + | 153.725i | −0.367167 | + | 0.497493i | ||||
\(310\) | −229.191 | −0.739326 | ||||||||
\(311\) | 100.844i | 0.324259i | 0.986770 | + | 0.162129i | \(0.0518362\pi\) | ||||
−0.986770 | + | 0.162129i | \(0.948164\pi\) | |||||||
\(312\) | −20.0501 | + | 177.947i | −0.0642632 | + | 0.570344i | ||||
\(313\) | 212.866 | 0.680084 | 0.340042 | − | 0.940410i | \(-0.389559\pi\) | ||||
0.340042 | + | 0.940410i | \(0.389559\pi\) | |||||||
\(314\) | −227.699 | + | 131.462i | −0.725157 | + | 0.418669i | ||||
\(315\) | −55.8018 | + | 244.480i | −0.177149 | + | 0.776129i | ||||
\(316\) | −137.369 | + | 237.930i | −0.434711 | + | 0.752942i | ||||
\(317\) | 426.934 | + | 246.490i | 1.34679 | + | 0.777572i | 0.987794 | − | 0.155765i | \(-0.0497843\pi\) |
0.359000 | + | 0.933337i | \(0.383118\pi\) | |||||||
\(318\) | 127.946 | + | 14.4162i | 0.402345 | + | 0.0453340i | ||||
\(319\) | 19.3191 | − | 33.4617i | 0.0605616 | − | 0.104896i | ||||
\(320\) | − | 20.3196i | − | 0.0634986i | ||||||
\(321\) | 473.474 | − | 206.574i | 1.47500 | − | 0.643532i | ||||
\(322\) | −275.653 | + | 477.446i | −0.856066 | + | 1.48275i | ||||
\(323\) | −149.246 | + | 86.1672i | −0.462062 | + | 0.266772i | ||||
\(324\) | 161.814 | − | 110.321i | 0.499425 | − | 0.340498i | ||||
\(325\) | −128.736 | + | 222.978i | −0.396112 | + | 0.686085i | ||||
\(326\) | 309.664i | 0.949891i | ||||||||
\(327\) | −99.9399 | − | 229.066i | −0.305627 | − | 0.700506i | ||||
\(328\) | −26.4693 | − | 45.8462i | −0.0806991 | − | 0.139775i | ||||
\(329\) | −108.264 | − | 62.5060i | −0.329069 | − | 0.189988i | ||||
\(330\) | −24.1895 | + | 10.5537i | −0.0733016 | + | 0.0319811i | ||||
\(331\) | 20.7061 | + | 35.8641i | 0.0625563 | + | 0.108351i | 0.895607 | − | 0.444845i | \(-0.146741\pi\) |
−0.833051 | + | 0.553196i | \(0.813408\pi\) | |||||||
\(332\) | 307.514i | 0.926248i | ||||||||
\(333\) | 105.012 | + | 340.443i | 0.315350 | + | 1.02235i | ||||
\(334\) | −30.8414 | −0.0923395 | ||||||||
\(335\) | −179.125 | + | 50.2828i | −0.534703 | + | 0.150098i | ||||
\(336\) | −238.650 | − | 546.994i | −0.710269 | − | 1.62796i | ||||
\(337\) | −157.282 | + | 272.420i | −0.466712 | + | 0.808368i | −0.999277 | − | 0.0380207i | \(-0.987895\pi\) |
0.532565 | + | 0.846389i | \(0.321228\pi\) | |||||||
\(338\) | 133.703i | 0.395572i | ||||||||
\(339\) | 12.4845 | + | 9.21398i | 0.0368273 | + | 0.0271799i | ||||
\(340\) | 126.426 | 0.371842 | ||||||||
\(341\) | −35.2841 | − | 20.3713i | −0.103473 | − | 0.0597399i | ||||
\(342\) | −46.4326 | + | 203.432i | −0.135768 | + | 0.594830i | ||||
\(343\) | −26.9152 | −0.0784701 | ||||||||
\(344\) | 67.3690i | 0.195840i | ||||||||
\(345\) | 179.538 | + | 20.2294i | 0.520401 | + | 0.0586359i | ||||
\(346\) | 211.244 | + | 365.885i | 0.610531 | + | 1.05747i | ||||
\(347\) | 484.345 | − | 279.636i | 1.39581 | − | 0.805869i | 0.401856 | − | 0.915703i | \(-0.368365\pi\) |
0.993950 | + | 0.109834i | \(0.0350320\pi\) | |||||||
\(348\) | −25.0928 | + | 222.702i | −0.0721059 | + | 0.639949i | ||||
\(349\) | −460.213 | −1.31866 | −0.659331 | − | 0.751853i | \(-0.729160\pi\) | ||||
−0.659331 | + | 0.751853i | \(0.729160\pi\) | |||||||
\(350\) | − | 439.483i | − | 1.25567i | ||||||
\(351\) | −304.773 | + | 262.276i | −0.868300 | + | 0.747226i | ||||
\(352\) | 21.3791 | − | 37.0296i | 0.0607360 | − | 0.105198i | ||||
\(353\) | −106.133 | − | 61.2760i | −0.300660 | − | 0.173586i | 0.342079 | − | 0.939671i | \(-0.388869\pi\) |
−0.642740 | + | 0.766085i | \(0.722202\pi\) | |||||||
\(354\) | −492.260 | − | 55.4651i | −1.39056 | − | 0.156681i | ||||
\(355\) | 87.8955 | + | 152.239i | 0.247593 | + | 0.428844i | ||||
\(356\) | −124.168 | + | 71.6885i | −0.348787 | + | 0.201372i | ||||
\(357\) | 519.543 | − | 226.673i | 1.45530 | − | 0.634940i | ||||
\(358\) | 76.6671 | − | 132.791i | 0.214154 | − | 0.370925i | ||||
\(359\) | − | 285.915i | − | 0.796421i | −0.917294 | − | 0.398211i | \(-0.869631\pi\) | ||
0.917294 | − | 0.398211i | \(-0.130369\pi\) | |||||||
\(360\) | −68.1345 | + | 73.4311i | −0.189263 | + | 0.203975i | ||||
\(361\) | 138.621 | + | 240.099i | 0.383993 | + | 0.665095i | ||||
\(362\) | 753.646i | 2.08189i | ||||||||
\(363\) | 356.055 | + | 40.1183i | 0.980869 | + | 0.110519i | ||||
\(364\) | −180.646 | − | 312.888i | −0.496280 | − | 0.859582i | ||||
\(365\) | 133.068 | + | 76.8268i | 0.364570 | + | 0.210484i | ||||
\(366\) | −552.807 | − | 407.991i | −1.51040 | − | 1.11473i | ||||
\(367\) | 191.800 | + | 332.208i | 0.522617 | + | 0.905199i | 0.999654 | + | 0.0263155i | \(0.00837745\pi\) |
−0.477037 | + | 0.878883i | \(0.658289\pi\) | |||||||
\(368\) | −372.371 | + | 214.989i | −1.01188 | + | 0.584208i | ||||
\(369\) | 26.4509 | − | 115.887i | 0.0716826 | − | 0.314058i | ||||
\(370\) | 139.237 | + | 241.165i | 0.376315 | + | 0.651797i | ||||
\(371\) | 147.217 | − | 84.9958i | 0.396812 | − | 0.229099i | ||||
\(372\) | 234.831 | + | 26.4595i | 0.631267 | + | 0.0711276i | ||||
\(373\) | −282.493 | − | 489.293i | −0.757355 | − | 1.31178i | −0.944195 | − | 0.329387i | \(-0.893158\pi\) |
0.186840 | − | 0.982390i | \(-0.440175\pi\) | |||||||
\(374\) | 51.6635 | + | 29.8279i | 0.138138 | + | 0.0797538i | ||||
\(375\) | −322.897 | + | 140.878i | −0.861060 | + | 0.375675i | ||||
\(376\) | −24.9687 | − | 43.2471i | −0.0664062 | − | 0.115019i | ||||
\(377\) | − | 460.128i | − | 1.22050i | ||||||
\(378\) | 226.684 | − | 647.816i | 0.599693 | − | 1.71380i | ||||
\(379\) | −133.340 | + | 230.951i | −0.351820 | + | 0.609370i | −0.986568 | − | 0.163349i | \(-0.947770\pi\) |
0.634748 | + | 0.772719i | \(0.281104\pi\) | |||||||
\(380\) | 61.4450i | 0.161697i | ||||||||
\(381\) | −99.9828 | + | 135.471i | −0.262422 | + | 0.355568i | ||||
\(382\) | 131.963 | + | 228.566i | 0.345452 | + | 0.598340i | ||||
\(383\) | −74.0808 | − | 42.7706i | −0.193422 | − | 0.111673i | 0.400161 | − | 0.916445i | \(-0.368954\pi\) |
−0.593584 | + | 0.804772i | \(0.702287\pi\) | |||||||
\(384\) | 39.7129 | − | 352.457i | 0.103419 | − | 0.917857i | ||||
\(385\) | −17.4220 | + | 30.1757i | −0.0452519 | + | 0.0783786i | ||||
\(386\) | 511.058 | + | 295.060i | 1.32398 | + | 0.764403i | ||||
\(387\) | −102.890 | + | 110.888i | −0.265865 | + | 0.286533i | ||||
\(388\) | 411.022 | 1.05933 | ||||||||
\(389\) | −103.918 | − | 59.9970i | −0.267141 | − | 0.154234i | 0.360447 | − | 0.932780i | \(-0.382624\pi\) |
−0.627588 | + | 0.778546i | \(0.715958\pi\) | |||||||
\(390\) | −186.630 | + | 252.874i | −0.478539 | + | 0.648396i | ||||
\(391\) | −204.199 | − | 353.684i | −0.522249 | − | 0.904562i | ||||
\(392\) | −179.401 | − | 103.577i | −0.457655 | − | 0.264227i | ||||
\(393\) | 399.054 | − | 174.105i | 1.01540 | − | 0.443014i | ||||
\(394\) | −529.192 | −1.34313 | ||||||||
\(395\) | 273.261 | − | 157.768i | 0.691801 | − | 0.399412i | ||||
\(396\) | 26.0032 | − | 8.02085i | 0.0656647 | − | 0.0202547i | ||||
\(397\) | 514.327 | 1.29553 | 0.647767 | − | 0.761839i | \(-0.275703\pi\) | ||||
0.647767 | + | 0.761839i | \(0.275703\pi\) | |||||||
\(398\) | 333.212 | − | 192.380i | 0.837216 | − | 0.483367i | ||||
\(399\) | 110.167 | + | 252.506i | 0.276107 | + | 0.632846i | ||||
\(400\) | 171.382 | − | 296.842i | 0.428455 | − | 0.742105i | ||||
\(401\) | − | 98.9815i | − | 0.246837i | −0.992355 | − | 0.123418i | \(-0.960614\pi\) | ||
0.992355 | − | 0.123418i | \(-0.0393857\pi\) | |||||||
\(402\) | 502.578 | − | 81.8630i | 1.25019 | − | 0.203639i | ||||
\(403\) | −485.188 | −1.20394 | ||||||||
\(404\) | 410.120 | + | 236.783i | 1.01515 | + | 0.586097i | ||||
\(405\) | −224.296 | + | 16.8074i | −0.553818 | + | 0.0414996i | ||||
\(406\) | 392.699 | + | 680.175i | 0.967240 | + | 1.67531i | ||||
\(407\) | 49.5034i | 0.121630i | ||||||||
\(408\) | 225.006 | + | 25.3524i | 0.551486 | + | 0.0621383i | ||||
\(409\) | 148.753 | + | 257.649i | 0.363700 | + | 0.629948i | 0.988567 | − | 0.150784i | \(-0.0481798\pi\) |
−0.624866 | + | 0.780732i | \(0.714847\pi\) | |||||||
\(410\) | − | 92.9111i | − | 0.226612i | ||||||
\(411\) | 354.609 | − | 154.714i | 0.862797 | − | 0.376433i | ||||
\(412\) | 76.9907 | − | 133.352i | 0.186871 | − | 0.323669i | ||||
\(413\) | −566.404 | + | 327.013i | −1.37144 | + | 0.791800i | ||||
\(414\) | −482.093 | − | 110.036i | −1.16448 | − | 0.265788i | ||||
\(415\) | 176.590 | − | 305.862i | 0.425517 | − | 0.737017i | ||||
\(416\) | − | 509.189i | − | 1.22401i | ||||||
\(417\) | 54.4518 | + | 124.805i | 0.130580 | + | 0.299293i | ||||
\(418\) | −14.4968 | + | 25.1092i | −0.0346813 | + | 0.0600698i | ||||
\(419\) | 543.436 | + | 313.753i | 1.29698 | + | 0.748813i | 0.979882 | − | 0.199579i | \(-0.0639573\pi\) |
0.317101 | + | 0.948392i | \(0.397291\pi\) | |||||||
\(420\) | 22.6287 | − | 200.833i | 0.0538778 | − | 0.478173i | ||||
\(421\) | −305.913 | + | 529.857i | −0.726634 | + | 1.25857i | 0.231664 | + | 0.972796i | \(0.425583\pi\) |
−0.958298 | + | 0.285771i | \(0.907750\pi\) | |||||||
\(422\) | 317.172 | − | 183.119i | 0.751592 | − | 0.433932i | ||||
\(423\) | 24.9514 | − | 109.318i | 0.0589867 | − | 0.258434i | ||||
\(424\) | 67.9051 | 0.160153 | ||||||||
\(425\) | 281.945 | + | 162.781i | 0.663400 | + | 0.383014i | ||||
\(426\) | −192.398 | − | 440.982i | −0.451638 | − | 1.03517i | ||||
\(427\) | −907.104 | −2.12436 | ||||||||
\(428\) | −360.551 | + | 208.164i | −0.842408 | + | 0.486364i | ||||
\(429\) | −51.2083 | + | 22.3419i | −0.119367 | + | 0.0520789i | ||||
\(430\) | −59.1188 | + | 102.397i | −0.137486 | + | 0.238132i | ||||
\(431\) | −220.871 | + | 127.520i | −0.512462 | + | 0.295870i | −0.733845 | − | 0.679317i | \(-0.762276\pi\) |
0.221383 | + | 0.975187i | \(0.428943\pi\) | |||||||
\(432\) | 405.734 | − | 349.159i | 0.939198 | − | 0.808238i | ||||
\(433\) | −28.0102 | − | 48.5152i | −0.0646888 | − | 0.112044i | 0.831867 | − | 0.554975i | \(-0.187272\pi\) |
−0.896556 | + | 0.442931i | \(0.853939\pi\) | |||||||
\(434\) | 717.219 | − | 414.087i | 1.65258 | − | 0.954117i | ||||
\(435\) | 152.844 | − | 207.096i | 0.351367 | − | 0.476083i | ||||
\(436\) | 100.709 | + | 174.433i | 0.230984 | + | 0.400077i | ||||
\(437\) | 171.895 | − | 99.2439i | 0.393353 | − | 0.227103i | ||||
\(438\) | −338.363 | − | 249.724i | −0.772519 | − | 0.570146i | ||||
\(439\) | 97.0820 | − | 168.151i | 0.221144 | − | 0.383032i | −0.734012 | − | 0.679137i | \(-0.762354\pi\) |
0.955155 | + | 0.296105i | \(0.0956877\pi\) | |||||||
\(440\) | −12.0540 | + | 6.95940i | −0.0273955 | + | 0.0158168i | ||||
\(441\) | −137.102 | − | 444.477i | −0.310888 | − | 1.00788i | ||||
\(442\) | 710.417 | 1.60728 | ||||||||
\(443\) | 158.030 | − | 91.2386i | 0.356727 | − | 0.205956i | −0.310917 | − | 0.950437i | \(-0.600636\pi\) |
0.667644 | + | 0.744481i | \(0.267303\pi\) | |||||||
\(444\) | −114.821 | − | 263.174i | −0.258607 | − | 0.592735i | ||||
\(445\) | 164.668 | 0.370041 | ||||||||
\(446\) | −442.916 | − | 255.717i | −0.993084 | − | 0.573358i | ||||
\(447\) | −733.678 | + | 320.099i | −1.64134 | + | 0.716106i | ||||
\(448\) | 36.7120 | + | 63.5871i | 0.0819465 | + | 0.141935i | ||||
\(449\) | 84.3847 | − | 48.7195i | 0.187939 | − | 0.108507i | −0.403078 | − | 0.915166i | \(-0.632060\pi\) |
0.591017 | + | 0.806659i | \(0.298726\pi\) | |||||||
\(450\) | 376.680 | − | 116.189i | 0.837066 | − | 0.258198i | ||||
\(451\) | 8.25827 | − | 14.3037i | 0.0183110 | − | 0.0317156i | ||||
\(452\) | −10.8299 | − | 6.25263i | −0.0239599 | − | 0.0138333i | ||||
\(453\) | 552.013 | + | 62.1977i | 1.21857 | + | 0.137302i | ||||
\(454\) | 385.732 | 0.849629 | ||||||||
\(455\) | 414.943i | 0.911962i | ||||||||
\(456\) | −12.3217 | + | 109.356i | −0.0270212 | + | 0.239816i | ||||
\(457\) | −176.621 | − | 305.917i | −0.386479 | − | 0.669402i | 0.605494 | − | 0.795850i | \(-0.292976\pi\) |
−0.991973 | + | 0.126448i | \(0.959642\pi\) | |||||||
\(458\) | −774.728 | + | 447.290i | −1.69155 | + | 0.976615i | ||||
\(459\) | 331.636 | + | 385.372i | 0.722519 | + | 0.839590i | ||||
\(460\) | −145.612 | −0.316549 | ||||||||
\(461\) | 165.690i | 0.359414i | 0.983720 | + | 0.179707i | \(0.0575150\pi\) | ||||
−0.983720 | + | 0.179707i | \(0.942485\pi\) | |||||||
\(462\) | 56.6298 | − | 76.7305i | 0.122575 | − | 0.166083i | ||||
\(463\) | 354.700 | − | 614.359i | 0.766091 | − | 1.32691i | −0.173577 | − | 0.984820i | \(-0.555532\pi\) |
0.939668 | − | 0.342088i | \(-0.111134\pi\) | |||||||
\(464\) | 612.552i | 1.32015i | ||||||||
\(465\) | −218.375 | − | 161.169i | −0.469624 | − | 0.346600i | ||||
\(466\) | 525.722 | 1.12816 | ||||||||
\(467\) | −481.494 | − | 277.991i | −1.03104 | − | 0.595269i | −0.113755 | − | 0.993509i | \(-0.536288\pi\) |
−0.917281 | + | 0.398240i | \(0.869621\pi\) | |||||||
\(468\) | 220.417 | − | 237.551i | 0.470976 | − | 0.507588i | ||||
\(469\) | 469.699 | − | 480.984i | 1.00149 | − | 1.02555i | ||||
\(470\) | − | 87.6439i | − | 0.186476i | ||||||
\(471\) | −309.399 | − | 34.8614i | −0.656898 | − | 0.0740156i | ||||
\(472\) | −261.258 | −0.553513 | ||||||||
\(473\) | −18.2028 | + | 10.5094i | −0.0384837 | + | 0.0222186i | ||||
\(474\) | −791.539 | + | 345.343i | −1.66991 | + | 0.728572i | ||||
\(475\) | −79.1139 | + | 137.029i | −0.166556 | + | 0.288483i | ||||
\(476\) | −395.632 | + | 228.418i | −0.831160 | + | 0.479870i | ||||
\(477\) | 111.770 | + | 103.708i | 0.234320 | + | 0.217418i | ||||
\(478\) | 291.428 | 0.609681 | ||||||||
\(479\) | 5.43996 | + | 3.14076i | 0.0113569 | + | 0.00655691i | 0.505668 | − | 0.862728i | \(-0.331246\pi\) |
−0.494311 | + | 0.869285i | \(0.664580\pi\) | |||||||
\(480\) | 169.142 | − | 229.178i | 0.352378 | − | 0.477454i | ||||
\(481\) | 294.758 | + | 510.536i | 0.612803 | + | 1.06141i | ||||
\(482\) | −165.989 | − | 95.8335i | −0.344375 | − | 0.198825i | ||||
\(483\) | −598.389 | + | 261.073i | −1.23890 | + | 0.540524i | ||||
\(484\) | −288.774 | −0.596641 | ||||||||
\(485\) | −408.814 | − | 236.029i | −0.842915 | − | 0.486657i | ||||
\(486\) | 615.171 | + | 23.0226i | 1.26578 | + | 0.0473716i | ||||
\(487\) | −318.294 | + | 551.302i | −0.653581 | + | 1.13204i | 0.328666 | + | 0.944446i | \(0.393401\pi\) |
−0.982247 | + | 0.187590i | \(0.939932\pi\) | |||||||
\(488\) | −313.807 | − | 181.176i | −0.643046 | − | 0.371263i | ||||
\(489\) | −217.758 | + | 295.051i | −0.445314 | + | 0.603377i | ||||
\(490\) | −181.785 | − | 314.861i | −0.370990 | − | 0.642574i | ||||
\(491\) | − | 395.028i | − | 0.804538i | −0.915522 | − | 0.402269i | \(-0.868222\pi\) | ||
0.915522 | − | 0.402269i | \(-0.131778\pi\) | |||||||
\(492\) | −10.7263 | + | 95.1975i | −0.0218015 | + | 0.193491i | ||||
\(493\) | −581.810 | −1.18014 | ||||||||
\(494\) | 345.273i | 0.698934i | ||||||||
\(495\) | −30.4695 | − | 6.95456i | −0.0615546 | − | 0.0140496i | ||||
\(496\) | 645.913 | 1.30224 | ||||||||
\(497\) | −550.112 | − | 317.607i | −1.10687 | − | 0.639049i | ||||
\(498\) | −574.002 | + | 777.742i | −1.15261 | + | 1.56173i | ||||
\(499\) | 443.847 | − | 768.765i | 0.889472 | − | 1.54061i | 0.0489713 | − | 0.998800i | \(-0.484406\pi\) |
0.840501 | − | 0.541810i | \(-0.182261\pi\) | |||||||
\(500\) | 245.886 | − | 141.963i | 0.491773 | − | 0.283925i | ||||
\(501\) | −29.3860 | − | 21.6879i | −0.0586546 | − | 0.0432892i | ||||
\(502\) | 244.542 | + | 423.558i | 0.487135 | + | 0.843742i | ||||
\(503\) | 21.8411 | − | 12.6099i | 0.0434216 | − | 0.0250695i | −0.478132 | − | 0.878288i | \(-0.658686\pi\) |
0.521554 | + | 0.853218i | \(0.325353\pi\) | |||||||
\(504\) | 80.5466 | − | 352.893i | 0.159815 | − | 0.700184i | ||||
\(505\) | −271.945 | − | 471.022i | −0.538504 | − | 0.932717i | ||||
\(506\) | −59.5038 | − | 34.3546i | −0.117597 | − | 0.0678944i | ||||
\(507\) | −94.0212 | + | 127.394i | −0.185446 | + | 0.251270i | ||||
\(508\) | 67.8486 | − | 117.517i | 0.133560 | − | 0.231333i | ||||
\(509\) | 468.439i | 0.920311i | 0.887838 | + | 0.460156i | \(0.152206\pi\) | ||||
−0.887838 | + | 0.460156i | \(0.847794\pi\) | |||||||
\(510\) | 319.748 | + | 235.985i | 0.626956 | + | 0.462716i | ||||
\(511\) | −555.222 | −1.08654 | ||||||||
\(512\) | 360.007i | 0.703138i | ||||||||
\(513\) | −187.296 | + | 161.180i | −0.365100 | + | 0.314191i | ||||
\(514\) | 334.639 | 0.651048 | ||||||||
\(515\) | −153.154 | + | 88.4236i | −0.297387 | + | 0.171696i | ||||
\(516\) | 72.3951 | − | 98.0915i | 0.140301 | − | 0.190100i | ||||
\(517\) | 7.79010 | − | 13.4929i | 0.0150679 | − | 0.0260984i | ||||
\(518\) | −871.442 | − | 503.127i | −1.68232 | − | 0.971288i | ||||
\(519\) | −56.0180 | + | 497.167i | −0.107934 | + | 0.957932i | ||||
\(520\) | −82.8768 | + | 143.547i | −0.159378 | + | 0.276051i | ||||
\(521\) | − | 618.338i | − | 1.18683i | −0.804897 | − | 0.593414i | \(-0.797780\pi\) | ||
0.804897 | − | 0.593414i | \(-0.202220\pi\) | |||||||
\(522\) | −479.156 | + | 516.404i | −0.917923 | + | 0.989280i | ||||
\(523\) | −204.530 | + | 354.256i | −0.391070 | + | 0.677354i | −0.992591 | − | 0.121503i | \(-0.961228\pi\) |
0.601521 | + | 0.798857i | \(0.294562\pi\) | |||||||
\(524\) | −303.879 | + | 175.445i | −0.579922 | + | 0.334818i | ||||
\(525\) | 309.048 | − | 418.744i | 0.588663 | − | 0.797608i | ||||
\(526\) | 525.730 | − | 910.591i | 0.999486 | − | 1.73116i | ||||
\(527\) | 613.497i | 1.16413i | ||||||||
\(528\) | 68.1717 | − | 29.7429i | 0.129113 | − | 0.0563312i | ||||
\(529\) | −29.3116 | − | 50.7691i | −0.0554094 | − | 0.0959718i | ||||
\(530\) | 103.211 | + | 59.5891i | 0.194739 | + | 0.112432i | ||||
\(531\) | −430.026 | − | 399.008i | −0.809842 | − | 0.751428i | ||||
\(532\) | −111.015 | − | 192.283i | −0.208674 | − | 0.361434i | ||||
\(533\) | − | 196.689i | − | 0.369022i | ||||||
\(534\) | −447.850 | − | 50.4612i | −0.838669 | − | 0.0944966i | ||||
\(535\) | 478.152 | 0.893741 | ||||||||
\(536\) | 258.557 | − | 72.5801i | 0.482382 | − | 0.135411i | ||||
\(537\) | 166.429 | − | 72.6119i | 0.309924 | − | 0.135218i | ||||
\(538\) | −371.054 | + | 642.685i | −0.689692 | + | 1.19458i | ||||
\(539\) | − | 64.6309i | − | 0.119909i | ||||||
\(540\) | 178.115 | − | 33.7005i | 0.329843 | − | 0.0624082i | ||||
\(541\) | −776.475 | −1.43526 | −0.717629 | − | 0.696425i | \(-0.754773\pi\) | ||||
−0.717629 | + | 0.696425i | \(0.754773\pi\) | |||||||
\(542\) | −71.6319 | − | 41.3567i | −0.132162 | − | 0.0763039i | ||||
\(543\) | −529.969 | + | 718.081i | −0.976003 | + | 1.32243i | ||||
\(544\) | −643.846 | −1.18354 | ||||||||
\(545\) | − | 231.328i | − | 0.424456i | ||||||
\(546\) | 127.156 | − | 1128.52i | 0.232886 | − | 2.06689i | ||||
\(547\) | 510.885 | + | 884.879i | 0.933976 | + | 1.61769i | 0.776449 | + | 0.630180i | \(0.217019\pi\) |
0.157527 | + | 0.987515i | \(0.449648\pi\) | |||||||
\(548\) | −270.035 | + | 155.905i | −0.492765 | + | 0.284498i | ||||
\(549\) | −239.817 | − | 777.476i | −0.436825 | − | 1.41617i | ||||
\(550\) | 54.7726 | 0.0995866 | ||||||||
\(551\) | − | 282.768i | − | 0.513191i | ||||||
\(552\) | −259.153 | − | 29.1999i | −0.469480 | − | 0.0528984i | ||||
\(553\) | −570.088 | + | 987.421i | −1.03090 | + | 1.78557i | ||||
\(554\) | −691.939 | − | 399.491i | −1.24899 | − | 0.721103i | ||||
\(555\) | −36.9230 | + | 327.697i | −0.0665280 | + | 0.590444i | ||||
\(556\) | −54.8709 | − | 95.0393i | −0.0986887 | − | 0.170934i | ||||
\(557\) | 605.962 | − | 349.852i | 1.08790 | − | 0.628101i | 0.154885 | − | 0.987932i | \(-0.450499\pi\) |
0.933017 | + | 0.359832i | \(0.117166\pi\) | |||||||
\(558\) | 544.529 | + | 505.252i | 0.975858 | + | 0.905469i | ||||
\(559\) | −125.152 | + | 216.770i | −0.223886 | + | 0.387781i | ||||
\(560\) | − | 552.398i | − | 0.986425i | ||||||
\(561\) | 28.2502 | + | 64.7504i | 0.0503569 | + | 0.115420i | ||||
\(562\) | −321.052 | − | 556.078i | −0.571266 | − | 0.989463i | ||||
\(563\) | − | 315.468i | − | 0.560333i | −0.959951 | − | 0.280167i | \(-0.909610\pi\) | ||
0.959951 | − | 0.280167i | \(-0.0903897\pi\) | |||||||
\(564\) | −10.1182 | + | 89.8007i | −0.0179402 | + | 0.159221i | ||||
\(565\) | 7.18113 | + | 12.4381i | 0.0127100 | + | 0.0220143i | ||||
\(566\) | 581.951 | + | 335.990i | 1.02818 | + | 0.593621i | ||||
\(567\) | 671.536 | − | 457.840i | 1.18437 | − | 0.807477i | ||||
\(568\) | −126.872 | − | 219.748i | −0.223366 | − | 0.386881i | ||||
\(569\) | −488.395 | + | 281.975i | −0.858339 | + | 0.495562i | −0.863456 | − | 0.504425i | \(-0.831705\pi\) |
0.00511664 | + | 0.999987i | \(0.498371\pi\) | |||||||
\(570\) | −114.692 | + | 155.402i | −0.201214 | + | 0.272635i | ||||
\(571\) | 300.627 | + | 520.701i | 0.526492 | + | 0.911910i | 0.999524 | + | 0.0308649i | \(0.00982616\pi\) |
−0.473032 | + | 0.881045i | \(0.656841\pi\) | |||||||
\(572\) | 38.9951 | − | 22.5138i | 0.0681732 | − | 0.0393598i | ||||
\(573\) | −34.9941 | + | 310.577i | −0.0610717 | + | 0.542019i | ||||
\(574\) | 167.866 | + | 290.752i | 0.292449 | + | 0.506536i | ||||
\(575\) | −324.733 | − | 187.484i | −0.564752 | − | 0.326060i | ||||
\(576\) | −44.7945 | + | 48.2767i | −0.0777682 | + | 0.0838137i | ||||
\(577\) | 487.957 | + | 845.166i | 0.845679 | + | 1.46476i | 0.885030 | + | 0.465534i | \(0.154138\pi\) |
−0.0393509 | + | 0.999225i | \(0.512529\pi\) | |||||||
\(578\) | − | 166.154i | − | 0.287464i | ||||||
\(579\) | 279.453 | + | 640.516i | 0.482648 | + | 1.10624i | ||||
\(580\) | −103.721 | + | 179.650i | −0.178829 | + | 0.309741i | ||||
\(581\) | 1276.20i | 2.19656i | ||||||||
\(582\) | 1039.53 | + | 767.208i | 1.78613 | + | 1.31823i | ||||
\(583\) | 10.5930 | + | 18.3476i | 0.0181698 | + | 0.0314710i | ||||
\(584\) | −192.075 | − | 110.895i | −0.328896 | − | 0.189888i | ||||
\(585\) | −355.646 | + | 109.701i | −0.607942 | + | 0.187523i | ||||
\(586\) | −659.198 | + | 1141.76i | −1.12491 | + | 1.94840i | ||||
\(587\) | 409.456 | + | 236.400i | 0.697541 | + | 0.402725i | 0.806431 | − | 0.591329i | \(-0.201396\pi\) |
−0.108890 | + | 0.994054i | \(0.534730\pi\) | |||||||
\(588\) | 149.909 | + | 343.597i | 0.254947 | + | 0.584348i | ||||
\(589\) | −298.169 | −0.506228 | ||||||||
\(590\) | −397.096 | − | 229.264i | −0.673044 | − | 0.388582i | ||||
\(591\) | −504.219 | − | 372.132i | −0.853163 | − | 0.629665i | ||||
\(592\) | −392.401 | − | 679.658i | −0.662839 | − | 1.14807i | ||||
\(593\) | 211.037 | + | 121.842i | 0.355880 | + | 0.205468i | 0.667272 | − | 0.744814i | \(-0.267462\pi\) |
−0.311392 | + | 0.950282i | \(0.600795\pi\) | |||||||
\(594\) | 80.7370 | + | 28.2515i | 0.135921 | + | 0.0475615i | ||||
\(595\) | 524.676 | 0.881808 | ||||||||
\(596\) | 558.696 | − | 322.563i | 0.937410 | − | 0.541214i | ||||
\(597\) | 452.770 | + | 51.0157i | 0.758410 | + | 0.0854534i | ||||
\(598\) | −818.230 | −1.36828 | ||||||||
\(599\) | 162.805 | − | 93.9954i | 0.271794 | − | 0.156921i | −0.357908 | − | 0.933757i | \(-0.616510\pi\) |
0.629703 | + | 0.776836i | \(0.283177\pi\) | |||||||
\(600\) | 190.549 | − | 83.1354i | 0.317582 | − | 0.138559i | ||||
\(601\) | 529.729 | − | 917.517i | 0.881412 | − | 1.52665i | 0.0316409 | − | 0.999499i | \(-0.489927\pi\) |
0.849771 | − | 0.527151i | \(-0.176740\pi\) | |||||||
\(602\) | − | 427.247i | − | 0.709713i | ||||||
\(603\) | 536.428 | + | 275.417i | 0.889598 | + | 0.456744i | ||||
\(604\) | −447.703 | −0.741230 | ||||||||
\(605\) | 287.223 | + | 165.828i | 0.474749 | + | 0.274096i | ||||
\(606\) | 595.270 | + | 1364.38i | 0.982294 | + | 2.25145i | ||||
\(607\) | −470.870 | − | 815.570i | −0.775733 | − | 1.34361i | −0.934382 | − | 0.356274i | \(-0.884047\pi\) |
0.158649 | − | 0.987335i | \(-0.449286\pi\) | |||||||
\(608\) | − | 312.919i | − | 0.514669i | ||||||
\(609\) | −104.137 | + | 924.227i | −0.170996 | + | 1.51761i | ||||
\(610\) | −317.978 | − | 550.753i | −0.521275 | − | 0.902874i | ||||
\(611\) | − | 185.538i | − | 0.303664i | ||||||
\(612\) | −300.372 | − | 278.707i | −0.490805 | − | 0.455403i | ||||
\(613\) | −105.365 | + | 182.497i | −0.171883 | + | 0.297711i | −0.939078 | − | 0.343703i | \(-0.888319\pi\) |
0.767195 | + | 0.641414i | \(0.221652\pi\) | |||||||
\(614\) | −1012.08 | + | 584.324i | −1.64834 | + | 0.951668i | ||||
\(615\) | 65.3358 | − | 88.5266i | 0.106237 | − | 0.143946i | ||||
\(616\) | 25.1476 | − | 43.5569i | 0.0408240 | − | 0.0707092i | ||||
\(617\) | − | 642.960i | − | 1.04208i | −0.853534 | − | 0.521038i | \(-0.825545\pi\) | ||
0.853534 | − | 0.521038i | \(-0.174455\pi\) | |||||||
\(618\) | 443.632 | − | 193.554i | 0.717851 | − | 0.313194i | ||||
\(619\) | 286.851 | − | 496.840i | 0.463410 | − | 0.802649i | −0.535718 | − | 0.844397i | \(-0.679959\pi\) |
0.999128 | + | 0.0417475i | \(0.0132925\pi\) | |||||||
\(620\) | 189.434 | + | 109.370i | 0.305538 | + | 0.176403i | ||||
\(621\) | −381.965 | − | 443.855i | −0.615080 | − | 0.714743i | ||||
\(622\) | 127.737 | − | 221.246i | 0.205364 | − | 0.355702i | ||||
\(623\) | −515.305 | + | 297.511i | −0.827134 | + | 0.477546i | ||||
\(624\) | 525.967 | − | 712.658i | 0.842896 | − | 1.14208i | ||||
\(625\) | 106.140 | 0.169824 | ||||||||
\(626\) | −467.015 | − | 269.631i | −0.746031 | − | 0.430721i | ||||
\(627\) | −31.4697 | + | 13.7300i | −0.0501909 | + | 0.0218980i | ||||
\(628\) | 250.934 | 0.399577 | ||||||||
\(629\) | 645.549 | − | 372.708i | 1.02631 | − | 0.592541i | ||||
\(630\) | 432.102 | − | 465.692i | 0.685876 | − | 0.739194i | ||||
\(631\) | 231.410 | − | 400.813i | 0.366735 | − | 0.635203i | −0.622318 | − | 0.782764i | \(-0.713809\pi\) |
0.989053 | + | 0.147561i | \(0.0471423\pi\) | |||||||
\(632\) | −394.436 | + | 227.728i | −0.624108 | + | 0.360329i | ||||
\(633\) | 430.975 | + | 48.5599i | 0.680845 | + | 0.0767139i | ||||
\(634\) | −624.444 | − | 1081.57i | −0.984928 | − | 1.70594i | ||||
\(635\) | −134.968 | + | 77.9239i | −0.212548 | + | 0.122715i | ||||
\(636\) | −98.8720 | − | 72.9711i | −0.155459 | − | 0.114734i | ||||
\(637\) | −384.832 | − | 666.549i | −0.604132 | − | 1.04639i | ||||
\(638\) | −84.7700 | + | 48.9420i | −0.132868 | + | 0.0767115i | ||||
\(639\) | 126.784 | − | 555.467i | 0.198409 | − | 0.869276i | ||||
\(640\) | 164.152 | − | 284.320i | 0.256488 | − | 0.444250i | ||||
\(641\) | 619.718 | − | 357.795i | 0.966799 | − | 0.558182i | 0.0685403 | − | 0.997648i | \(-0.478166\pi\) |
0.898259 | + | 0.439467i | \(0.144833\pi\) | |||||||
\(642\) | −1300.43 | − | 146.526i | −2.02560 | − | 0.228233i | ||||
\(643\) | 418.620 | 0.651042 | 0.325521 | − | 0.945535i | \(-0.394460\pi\) | ||||
0.325521 | + | 0.945535i | \(0.394460\pi\) | |||||||
\(644\) | 455.673 | − | 263.083i | 0.707567 | − | 0.408514i | ||||
\(645\) | −128.335 | + | 55.9918i | −0.198969 | + | 0.0868090i | ||||
\(646\) | 436.582 | 0.675823 | ||||||||
\(647\) | 686.744 | + | 396.492i | 1.06143 | + | 0.612816i | 0.925827 | − | 0.377948i | \(-0.123370\pi\) |
0.135601 | + | 0.990764i | \(0.456703\pi\) | |||||||
\(648\) | 323.758 | − | 24.2604i | 0.499626 | − | 0.0374389i | ||||
\(649\) | −40.7555 | − | 70.5907i | −0.0627975 | − | 0.108768i | ||||
\(650\) | 564.879 | − | 326.133i | 0.869044 | − | 0.501743i | ||||
\(651\) | 974.562 | + | 109.808i | 1.49702 | + | 0.168676i | ||||
\(652\) | 147.771 | − | 255.948i | 0.226643 | − | 0.392558i | ||||
\(653\) | 1049.22 | + | 605.770i | 1.60677 | + | 0.927672i | 0.990086 | + | 0.140464i | \(0.0448595\pi\) |
0.616689 | + | 0.787207i | \(0.288474\pi\) | |||||||
\(654\) | −70.8887 | + | 629.146i | −0.108392 | + | 0.961997i | ||||
\(655\) | 402.996 | 0.615261 | ||||||||
\(656\) | 261.845i | 0.399154i | ||||||||
\(657\) | −146.788 | − | 475.879i | −0.223421 | − | 0.724321i | ||||
\(658\) | 158.349 | + | 274.269i | 0.240652 | + | 0.416822i | ||||
\(659\) | −741.569 | + | 428.145i | −1.12529 | + | 0.649689i | −0.942747 | − | 0.333508i | \(-0.891768\pi\) |
−0.182548 | + | 0.983197i | \(0.558434\pi\) | |||||||
\(660\) | 25.0297 | + | 2.82020i | 0.0379238 | + | 0.00427304i | ||||
\(661\) | −506.976 | −0.766983 | −0.383492 | − | 0.923544i | \(-0.625278\pi\) | ||||
−0.383492 | + | 0.923544i | \(0.625278\pi\) | |||||||
\(662\) | − | 104.911i | − | 0.158476i | ||||||
\(663\) | 676.892 | + | 499.571i | 1.02095 | + | 0.753501i | ||||
\(664\) | −254.896 | + | 441.494i | −0.383880 | + | 0.664900i | ||||
\(665\) | 255.000i | 0.383459i | ||||||||
\(666\) | 200.840 | − | 879.925i | 0.301561 | − | 1.32121i | ||||
\(667\) | 670.105 | 1.00466 | ||||||||
\(668\) | 25.4914 | + | 14.7175i | 0.0381608 | + | 0.0220321i | ||||
\(669\) | −242.192 | − | 555.112i | −0.362021 | − | 0.829763i | ||||
\(670\) | 456.682 | + | 116.576i | 0.681614 | + | 0.173993i | ||||
\(671\) | − | 113.052i | − | 0.168483i | ||||||
\(672\) | −115.240 | + | 1022.77i | −0.171489 | + | 1.52198i | ||||
\(673\) | −65.6191 | −0.0975023 | −0.0487512 | − | 0.998811i | \(-0.515524\pi\) | ||||
−0.0487512 | + | 0.998811i | \(0.515524\pi\) | |||||||
\(674\) | 690.133 | − | 398.448i | 1.02394 | − | 0.591170i | ||||
\(675\) | 440.609 | + | 154.178i | 0.652754 | + | 0.228412i | ||||
\(676\) | 63.8031 | − | 110.510i | 0.0943832 | − | 0.163477i | ||||
\(677\) | −930.170 | + | 537.034i | −1.37396 | + | 0.793255i | −0.991424 | − | 0.130686i | \(-0.958282\pi\) |
−0.382534 | + | 0.923941i | \(0.624949\pi\) | |||||||
\(678\) | −15.7190 | − | 36.0286i | −0.0231844 | − | 0.0531395i | ||||
\(679\) | 1705.76 | 2.51217 | ||||||||
\(680\) | 181.508 | + | 104.794i | 0.266924 | + | 0.154108i | ||||
\(681\) | 367.529 | + | 271.249i | 0.539690 | + | 0.398310i | ||||
\(682\) | 51.6075 | + | 89.3868i | 0.0756708 | + | 0.131066i | ||||
\(683\) | 764.934 | + | 441.635i | 1.11996 | + | 0.646610i | 0.941391 | − | 0.337317i | \(-0.109519\pi\) |
0.178570 | + | 0.983927i | \(0.442853\pi\) | |||||||
\(684\) | 135.455 | − | 145.985i | 0.198034 | − | 0.213429i | ||||
\(685\) | 358.112 | 0.522792 | ||||||||
\(686\) | 59.0503 | + | 34.0927i | 0.0860792 | + | 0.0496979i | ||||
\(687\) | −1052.71 | − | 118.613i | −1.53232 | − | 0.172654i | ||||
\(688\) | 166.610 | − | 288.577i | 0.242166 | − | 0.419444i | ||||
\(689\) | 218.494 | + | 126.148i | 0.317118 | + | 0.183088i | ||||
\(690\) | −368.272 | − | 271.798i | −0.533728 | − | 0.393910i | ||||
\(691\) | −337.699 | − | 584.912i | −0.488711 | − | 0.846472i | 0.511205 | − | 0.859459i | \(-0.329199\pi\) |
−0.999916 | + | 0.0129872i | \(0.995866\pi\) | |||||||
\(692\) | − | 403.221i | − | 0.582689i | ||||||
\(693\) | 107.915 | − | 33.2870i | 0.155721 | − | 0.0480332i | ||||
\(694\) | −1416.83 | −2.04154 | ||||||||
\(695\) | 126.038i | 0.181350i | ||||||||
\(696\) | −220.622 | + | 298.931i | −0.316985 | + | 0.429498i | ||||
\(697\) | −248.704 | −0.356820 | ||||||||
\(698\) | 1009.68 | + | 582.938i | 1.44653 | + | 0.835155i | ||||
\(699\) | 500.913 | + | 369.692i | 0.716614 | + | 0.528887i | ||||
\(700\) | −209.721 | + | 363.247i | −0.299601 | + | 0.518925i | ||||
\(701\) | 511.193 | − | 295.137i | 0.729233 | − | 0.421023i | −0.0889082 | − | 0.996040i | \(-0.528338\pi\) |
0.818142 | + | 0.575017i | \(0.195004\pi\) | |||||||
\(702\) | 1000.87 | − | 189.371i | 1.42574 | − | 0.269759i | ||||
\(703\) | 181.142 | + | 313.746i | 0.257669 | + | 0.446296i | ||||
\(704\) | −7.92483 | + | 4.57540i | −0.0112569 | + | 0.00649915i | ||||
\(705\) | 61.6318 | − | 83.5079i | 0.0874210 | − | 0.118451i | ||||
\(706\) | 155.233 | + | 268.871i | 0.219877 | + | 0.380838i | ||||
\(707\) | 1702.02 | + | 982.663i | 2.40739 | + | 1.38991i | ||||
\(708\) | 380.401 | + | 280.749i | 0.537289 | + | 0.396539i | ||||
\(709\) | 178.511 | − | 309.190i | 0.251778 | − | 0.436093i | −0.712237 | − | 0.701939i | \(-0.752318\pi\) |
0.964016 | + | 0.265846i | \(0.0856512\pi\) | |||||||
\(710\) | − | 445.338i | − | 0.627237i | ||||||
\(711\) | −997.033 | − | 227.569i | −1.40230 | − | 0.320070i | ||||
\(712\) | −237.688 | −0.333832 | ||||||||
\(713\) | − | 706.601i | − | 0.991025i | ||||||
\(714\) | −1426.97 | − | 160.782i | −1.99855 | − | 0.225186i | ||||
\(715\) | −51.7141 | −0.0723275 | ||||||||
\(716\) | −126.736 | + | 73.1709i | −0.177005 | + | 0.102194i | ||||
\(717\) | 277.675 | + | 204.934i | 0.387273 | + | 0.285822i | ||||
\(718\) | −362.160 | + | 627.280i | −0.504401 | + | 0.873649i | ||||
\(719\) | 68.5709 | + | 39.5894i | 0.0953699 | + | 0.0550618i | 0.546926 | − | 0.837181i | \(-0.315798\pi\) |
−0.451557 | + | 0.892243i | \(0.649131\pi\) | |||||||
\(720\) | 473.459 | − | 146.041i | 0.657582 | − | 0.202835i | ||||
\(721\) | 319.516 | − | 553.418i | 0.443156 | − | 0.767569i | ||||
\(722\) | − | 702.351i | − | 0.972785i | ||||||
\(723\) | −90.7646 | − | 208.036i | −0.125539 | − | 0.287739i | ||||
\(724\) | 359.639 | − | 622.913i | 0.496739 | − | 0.860377i | ||||
\(725\) | −462.618 | + | 267.093i | −0.638094 | + | 0.368404i | ||||
\(726\) | −730.346 | − | 539.022i | −1.00599 | − | 0.742454i | ||||
\(727\) | 481.814 | − | 834.527i | 0.662743 | − | 1.14790i | −0.317149 | − | 0.948376i | \(-0.602725\pi\) |
0.979892 | − | 0.199529i | \(-0.0639412\pi\) | |||||||
\(728\) | − | 598.945i | − | 0.822726i | ||||||
\(729\) | 569.951 | + | 454.529i | 0.781826 | + | 0.623497i | ||||
\(730\) | −194.628 | − | 337.106i | −0.266614 | − | 0.461789i | ||||
\(731\) | 274.095 | + | 158.249i | 0.374959 | + | 0.216483i | ||||
\(732\) | 262.220 | + | 601.017i | 0.358224 | + | 0.821061i | ||||
\(733\) | −275.546 | − | 477.260i | −0.375915 | − | 0.651104i | 0.614548 | − | 0.788879i | \(-0.289338\pi\) |
−0.990464 | + | 0.137775i | \(0.956005\pi\) | |||||||
\(734\) | − | 971.791i | − | 1.32397i | ||||||
\(735\) | 48.2061 | − | 427.836i | 0.0655866 | − | 0.582090i | ||||
\(736\) | 741.555 | 1.00755 | ||||||||
\(737\) | 59.9449 | + | 58.5384i | 0.0813363 | + | 0.0794280i | ||||
\(738\) | −204.823 | + | 220.745i | −0.277537 | + | 0.299112i | ||||
\(739\) | −432.695 | + | 749.449i | −0.585514 | + | 1.01414i | 0.409297 | + | 0.912401i | \(0.365774\pi\) |
−0.994811 | + | 0.101739i | \(0.967559\pi\) | |||||||
\(740\) | − | 265.774i | − | 0.359154i | ||||||
\(741\) | −242.799 | + | 328.980i | −0.327664 | + | 0.443967i | ||||
\(742\) | −430.647 | −0.580386 | ||||||||
\(743\) | −1171.82 | − | 676.549i | −1.57714 | − | 0.910563i | −0.995256 | − | 0.0972931i | \(-0.968982\pi\) |
−0.581886 | − | 0.813270i | \(-0.697685\pi\) | |||||||
\(744\) | 315.211 | + | 232.637i | 0.423671 | + | 0.312685i | ||||
\(745\) | −740.926 | −0.994532 | ||||||||
\(746\) | 1431.30i | 1.91864i | ||||||||
\(747\) | −1093.83 | + | 337.398i | −1.46429 | + | 0.451670i | ||||
\(748\) | −28.4677 | − | 49.3075i | −0.0380584 | − | 0.0659191i | ||||
\(749\) | −1496.31 | + | 863.892i | −1.99774 | + | 1.15339i | ||||
\(750\) | 886.863 | + | 99.9268i | 1.18248 | + | 0.133236i | ||||
\(751\) | 188.319 | 0.250758 | 0.125379 | − | 0.992109i | \(-0.459985\pi\) | ||||
0.125379 | + | 0.992109i | \(0.459985\pi\) | |||||||
\(752\) | 247.001i | 0.328458i | ||||||||
\(753\) | −64.8480 | + | 575.534i | −0.0861195 | + | 0.764321i | ||||
\(754\) | −582.830 | + | 1009.49i | −0.772985 | + | 1.33885i | ||||
\(755\) | 445.298 | + | 257.093i | 0.589799 | + | 0.340520i | ||||
\(756\) | −496.498 | + | 427.268i | −0.656744 | + | 0.565169i | ||||
\(757\) | 327.545 | + | 567.325i | 0.432688 | + | 0.749438i | 0.997104 | − | 0.0760527i | \(-0.0242317\pi\) |
−0.564415 | + | 0.825491i | \(0.690898\pi\) | |||||||
\(758\) | 585.079 | − | 337.795i | 0.771871 | − | 0.445640i | ||||
\(759\) | −32.5374 | − | 74.5769i | −0.0428688 | − | 0.0982568i | ||||
\(760\) | −50.9313 | + | 88.2156i | −0.0670149 | + | 0.116073i | ||||
\(761\) | 1124.03i | 1.47705i | 0.674228 | + | 0.738523i | \(0.264476\pi\) | ||||
−0.674228 | + | 0.738523i | \(0.735524\pi\) | |||||||
\(762\) | 390.954 | − | 170.571i | 0.513062 | − | 0.223846i | ||||
\(763\) | 417.949 | + | 723.908i | 0.547770 | + | 0.948766i | ||||
\(764\) | − | 251.890i | − | 0.329698i | ||||||
\(765\) | 138.712 | + | 449.698i | 0.181323 | + | 0.587840i | ||||
\(766\) | 108.352 | + | 187.672i | 0.141452 | + | 0.245002i | ||||
\(767\) | −840.636 | − | 485.342i | −1.09601 | − | 0.632779i | ||||
\(768\) | −585.718 | + | 793.617i | −0.762653 | + | 1.03336i | ||||
\(769\) | −117.913 | − | 204.231i | −0.153332 | − | 0.265580i | 0.779118 | − | 0.626877i | \(-0.215667\pi\) |
−0.932451 | + | 0.361298i | \(0.882334\pi\) | |||||||
\(770\) | 76.4454 | − | 44.1358i | 0.0992798 | − | 0.0573192i | ||||
\(771\) | 318.847 | + | 235.321i | 0.413550 | + | 0.305215i | ||||
\(772\) | −281.604 | − | 487.753i | −0.364772 | − | 0.631804i | ||||
\(773\) | 210.844 | − | 121.731i | 0.272761 | − | 0.157478i | −0.357381 | − | 0.933959i | \(-0.616330\pi\) |
0.630142 | + | 0.776480i | \(0.282997\pi\) | |||||||
\(774\) | 366.192 | − | 112.954i | 0.473117 | − | 0.145936i | ||||
\(775\) | 281.639 | + | 487.814i | 0.363406 | + | 0.629437i | ||||
\(776\) | 590.098 | + | 340.693i | 0.760436 | + | 0.439038i | ||||
\(777\) | −476.515 | − | 1092.19i | −0.613276 | − | 1.40565i | ||||
\(778\) | 151.993 | + | 263.259i | 0.195363 | + | 0.338379i | ||||
\(779\) | − | 120.874i | − | 0.155165i | ||||||
\(780\) | 274.927 | − | 119.949i | 0.352471 | − | 0.153781i | ||||
\(781\) | 39.5833 | − | 68.5603i | 0.0506828 | − | 0.0877852i | ||||
\(782\) | 1034.61i | 1.32303i | ||||||||
\(783\) | −819.683 | + | 155.089i | −1.04685 | + | 0.198070i | ||||
\(784\) | 512.313 | + | 887.352i | 0.653460 | + | 1.13183i | ||||
\(785\) | −249.586 | − | 144.099i | −0.317944 | − | 0.183565i | ||||
\(786\) | −1096.03 | − | 123.495i | −1.39444 | − | 0.157118i | ||||
\(787\) | 343.929 | − | 595.703i | 0.437013 | − | 0.756928i | −0.560445 | − | 0.828192i | \(-0.689370\pi\) |
0.997458 | + | 0.0712635i | \(0.0227031\pi\) | |||||||
\(788\) | 437.395 | + | 252.530i | 0.555069 | + | 0.320469i | ||||
\(789\) | 1141.25 | − | 497.922i | 1.44646 | − | 0.631080i | ||||
\(790\) | −799.358 | −1.01185 | ||||||||
\(791\) | −44.9446 | − | 25.9488i | −0.0568200 | − | 0.0328050i | ||||
\(792\) | 43.9809 | + | 10.0385i | 0.0555314 | + | 0.0126749i | ||||
\(793\) | −673.145 | − | 1165.92i | −0.848859 | − | 1.47027i | ||||
\(794\) | −1128.40 | − | 651.483i | −1.42116 | − | 0.820507i | ||||
\(795\) | 56.4373 | + | 129.356i | 0.0709903 | + | 0.162712i | ||||
\(796\) | −367.214 | −0.461324 | ||||||||
\(797\) | 475.968 | − | 274.800i | 0.597199 | − | 0.344793i | −0.170740 | − | 0.985316i | \(-0.554616\pi\) |
0.767939 | + | 0.640523i | \(0.221282\pi\) | |||||||
\(798\) | 78.1426 | − | 693.526i | 0.0979231 | − | 0.869080i | ||||
\(799\) | −234.605 | −0.293623 | ||||||||
\(800\) | −511.945 | + | 295.572i | −0.639932 | + | 0.369465i | ||||
\(801\) | −391.231 | − | 363.011i | −0.488428 | − | 0.453197i | ||||
\(802\) | −125.377 | + | 217.159i | −0.156330 | + | 0.270772i | ||||
\(803\) | − | 69.1971i | − | 0.0861732i | ||||||
\(804\) | −454.462 | − | 172.167i | −0.565251 | − | 0.214138i | ||||
\(805\) | −604.300 | −0.750683 | ||||||||
\(806\) | 1064.47 | + | 614.573i | 1.32068 | + | 0.762497i | ||||
\(807\) | −805.485 | + | 351.428i | −0.998122 | + | 0.435475i | ||||
\(808\) | 392.536 | + | 679.892i | 0.485812 | + | 0.841450i | ||||
\(809\) | 18.8249i | 0.0232693i | 0.999932 | + | 0.0116347i | \(0.00370351\pi\) | ||||
−0.999932 | + | 0.0116347i | \(0.996296\pi\) | |||||||
\(810\) | 513.381 | + | 247.235i | 0.633804 | + | 0.305228i | ||||
\(811\) | 287.889 | + | 498.638i | 0.354980 | + | 0.614844i | 0.987115 | − | 0.160015i | \(-0.0511542\pi\) |
−0.632134 | + | 0.774859i | \(0.717821\pi\) | |||||||
\(812\) | − | 749.583i | − | 0.923131i | ||||||
\(813\) | −39.1692 | − | 89.7772i | −0.0481786 | − | 0.110427i | ||||
\(814\) | 62.7045 | − | 108.607i | 0.0770326 | − | 0.133424i | ||||
\(815\) | −293.955 | + | 169.715i | −0.360681 | + | 0.208239i | ||||
\(816\) | −901.122 | − | 665.060i | −1.10432 | − | 0.815025i | ||||
\(817\) | −76.9112 | + | 133.214i | −0.0941386 | + | 0.163053i | ||||
\(818\) | − | 753.686i | − | 0.921377i | ||||||
\(819\) | 914.742 | − | 985.852i | 1.11690 | − | 1.20373i | ||||
\(820\) | −44.3370 | + | 76.7940i | −0.0540696 | + | 0.0936512i | ||||
\(821\) | −40.8231 | − | 23.5692i | −0.0497236 | − | 0.0287079i | 0.474932 | − | 0.880022i | \(-0.342473\pi\) |
−0.524656 | + | 0.851314i | \(0.675806\pi\) | |||||||
\(822\) | −973.962 | − | 109.741i | −1.18487 | − | 0.133504i | ||||
\(823\) | 392.202 | − | 679.314i | 0.476552 | − | 0.825411i | −0.523087 | − | 0.852279i | \(-0.675220\pi\) |
0.999639 | + | 0.0268675i | \(0.00855323\pi\) | |||||||
\(824\) | 221.069 | − | 127.634i | 0.268287 | − | 0.154896i | ||||
\(825\) | 52.1879 | + | 38.5165i | 0.0632580 | + | 0.0466867i | ||||
\(826\) | 1656.87 | 2.00590 | ||||||||
\(827\) | −1043.69 | − | 602.574i | −1.26202 | − | 0.728627i | −0.288554 | − | 0.957464i | \(-0.593174\pi\) |
−0.973465 | + | 0.228837i | \(0.926508\pi\) | |||||||
\(828\) | 345.957 | + | 321.003i | 0.417822 | + | 0.387685i | ||||
\(829\) | −1605.08 | −1.93616 | −0.968080 | − | 0.250643i | \(-0.919358\pi\) | ||||
−0.968080 | + | 0.250643i | \(0.919358\pi\) | |||||||
\(830\) | −774.853 | + | 447.362i | −0.933558 | + | 0.538990i | ||||
\(831\) | −378.361 | − | 867.216i | −0.455308 | − | 1.04358i | ||||
\(832\) | −54.4867 | + | 94.3737i | −0.0654888 | + | 0.113430i | ||||
\(833\) | −842.819 | + | 486.602i | −1.01179 | + | 0.584156i | ||||
\(834\) | 38.6234 | − | 342.787i | 0.0463110 | − | 0.411016i | ||||
\(835\) | −16.9030 | − | 29.2768i | −0.0202431 | − | 0.0350620i | ||||
\(836\) | 23.9641 | − | 13.8357i | 0.0286652 | − | 0.0165499i | ||||
\(837\) | 163.535 | + | 864.325i | 0.195383 | + | 1.03265i | ||||
\(838\) | −794.843 | − | 1376.71i | −0.948499 | − | 1.64285i | ||||
\(839\) | −219.329 | + | 126.630i | −0.261417 | + | 0.150929i | −0.624981 | − | 0.780640i | \(-0.714893\pi\) |
0.363564 | + | 0.931569i | \(0.381560\pi\) | |||||||
\(840\) | 198.956 | − | 269.575i | 0.236853 | − | 0.320923i | ||||
\(841\) | 56.8204 | − | 98.4158i | 0.0675629 | − | 0.117022i | ||||
\(842\) | 1342.31 | − | 774.982i | 1.59419 | − | 0.920406i | ||||
\(843\) | 85.1371 | − | 755.602i | 0.100993 | − | 0.896325i | ||||
\(844\) | −349.537 | −0.414143 | ||||||||
\(845\) | −126.921 | + | 73.2776i | −0.150202 | + | 0.0867191i | ||||
\(846\) | −193.211 | + | 208.231i | −0.228382 | + | 0.246136i | ||||
\(847\) | −1198.43 | −1.41491 | ||||||||
\(848\) | −290.874 | − | 167.936i | −0.343011 | − | 0.198038i | ||||
\(849\) | 318.218 | + | 729.367i | 0.374815 | + | 0.859089i | ||||
\(850\) | −412.380 | − | 714.262i | −0.485152 | − | 0.840309i | ||||
\(851\) | −743.517 | + | 429.270i | −0.873698 | + | 0.504430i | ||||
\(852\) | −51.4131 | + | 456.298i | −0.0603440 | + | 0.535561i | ||||
\(853\) | 432.342 | − | 748.837i | 0.506848 | − | 0.877887i | −0.493120 | − | 0.869961i | \(-0.664144\pi\) |
0.999969 | − | 0.00792577i | \(-0.00252288\pi\) | |||||||
\(854\) | 1990.13 | + | 1149.00i | 2.33036 | + | 1.34543i | ||||
\(855\) | −218.560 | + | 67.4160i | −0.255625 | + | 0.0788492i | ||||
\(856\) | −690.183 | −0.806288 | ||||||||
\(857\) | 394.298i | 0.460091i | 0.973180 | + | 0.230045i | \(0.0738874\pi\) | ||||
−0.973180 | + | 0.230045i | \(0.926113\pi\) | |||||||
\(858\) | 140.647 | + | 15.8474i | 0.163925 | + | 0.0184701i | ||||
\(859\) | −122.946 | − | 212.949i | −0.143127 | − | 0.247903i | 0.785546 | − | 0.618804i | \(-0.212382\pi\) |
−0.928673 | + | 0.370900i | \(0.879049\pi\) | |||||||
\(860\) | 97.7272 | − | 56.4228i | 0.113636 | − | 0.0656079i | ||||
\(861\) | −44.5149 | + | 395.075i | −0.0517014 | + | 0.458856i | ||||
\(862\) | 646.103 | 0.749539 | ||||||||
\(863\) | − | 1091.27i | − | 1.26451i | −0.774762 | − | 0.632253i | \(-0.782130\pi\) | ||
0.774762 | − | 0.632253i | \(-0.217870\pi\) | |||||||
\(864\) | −907.082 | + | 171.625i | −1.04986 | + | 0.198640i | ||||
\(865\) | −231.549 | + | 401.055i | −0.267687 | + | 0.463647i | ||||
\(866\) | 141.919i | 0.163879i | ||||||||
\(867\) | 116.841 | − | 158.313i | 0.134764 | − | 0.182599i | ||||
\(868\) | −790.407 | −0.910607 | ||||||||
\(869\) | −123.062 | − | 71.0498i | −0.141613 | − | 0.0817604i | ||||
\(870\) | −597.654 | + | 260.753i | −0.686959 | + | 0.299716i | ||||
\(871\) | 966.776 | + | 246.786i | 1.10996 | + | 0.283336i | ||||
\(872\) | 333.909i | 0.382923i | ||||||||
\(873\) | 450.964 | + | 1462.01i | 0.516568 | + | 1.67469i | ||||
\(874\) | −502.837 | −0.575328 | ||||||||
\(875\) | 1020.44 | − | 589.153i | 1.16622 | − | 0.673317i | ||||
\(876\) | 160.500 | + | 367.872i | 0.183219 | + | 0.419945i | ||||
\(877\) | −340.351 | + | 589.504i | −0.388085 | + | 0.672183i | −0.992192 | − | 0.124720i | \(-0.960197\pi\) |
0.604107 | + | 0.796903i | \(0.293530\pi\) | |||||||
\(878\) | −425.984 | + | 245.942i | −0.485175 | + | 0.280116i | ||||
\(879\) | −1430.99 | + | 624.331i | −1.62797 | + | 0.710274i | ||||
\(880\) | 68.8451 | 0.0782331 | ||||||||
\(881\) | 1400.63 | + | 808.655i | 1.58982 | + | 0.917884i | 0.993335 | + | 0.115260i | \(0.0367700\pi\) |
0.596486 | + | 0.802624i | \(0.296563\pi\) | |||||||
\(882\) | −262.213 | + | 1148.82i | −0.297294 | + | 1.30251i | ||||
\(883\) | 173.112 | + | 299.838i | 0.196049 | + | 0.339567i | 0.947244 | − | 0.320513i | \(-0.103855\pi\) |
−0.751195 | + | 0.660081i | \(0.770522\pi\) | |||||||
\(884\) | −587.183 | − | 339.010i | −0.664234 | − | 0.383496i | ||||
\(885\) | −217.137 | − | 497.686i | −0.245353 | − | 0.562357i | ||||
\(886\) | −462.277 | −0.521757 | ||||||||
\(887\) | 1313.31 | + | 758.241i | 1.48062 | + | 0.854838i | 0.999759 | − | 0.0219569i | \(-0.00698966\pi\) |
0.480864 | + | 0.876795i | \(0.340323\pi\) | |||||||
\(888\) | 53.2961 | − | 473.010i | 0.0600182 | − | 0.532669i | ||||
\(889\) | 281.576 | − | 487.703i | 0.316733 | − | 0.548597i | ||||
\(890\) | −361.271 | − | 208.580i | −0.405923 | − | 0.234360i | ||||
\(891\) | 57.0603 | + | 83.6932i | 0.0640408 | + | 0.0939318i | ||||
\(892\) | 244.056 | + | 422.718i | 0.273605 | + | 0.473899i | ||||
\(893\) | − | 114.021i | − | 0.127683i | ||||||
\(894\) | 2015.10 | + | 227.051i | 2.25403 | + | 0.253972i | ||||
\(895\) | 168.073 | 0.187791 | ||||||||
\(896\) | 1186.32i | 1.32402i | ||||||||
\(897\) | −779.617 | − | 575.385i | −0.869138 | − | 0.641455i | ||||
\(898\) | −246.846 | −0.274884 | ||||||||
\(899\) | −871.770 | − | 503.316i | −0.969710 | − | 0.559863i | ||||
\(900\) | −366.783 | − | 83.7170i | −0.407537 | − | 0.0930189i | ||||
\(901\) | 159.508 | − | 276.276i | 0.177034 | − | 0.306632i | ||||
\(902\) | −36.2363 | + | 20.9210i | −0.0401732 | + | 0.0231940i | ||||
\(903\) | 300.444 | − | 407.085i | 0.332717 | − | 0.450814i | ||||
\(904\) | −10.3655 | − | 17.9536i | −0.0114663 | − | 0.0198602i | ||||
\(905\) | −715.414 | + | 413.044i | −0.790512 | + | 0.456402i | ||||
\(906\) | −1132.30 | − | 835.676i | −1.24978 | − | 0.922380i | ||||
\(907\) | 541.185 | + | 937.361i | 0.596676 | + | 1.03347i | 0.993308 | + | 0.115496i | \(0.0368457\pi\) |
−0.396632 | + | 0.917978i | \(0.629821\pi\) | |||||||
\(908\) | −318.820 | − | 184.071i | −0.351123 | − | 0.202721i | ||||
\(909\) | −392.263 | + | 1718.59i | −0.431532 | + | 1.89064i | ||||
\(910\) | 525.596 | − | 910.358i | 0.577578 | − | 1.00039i | ||||
\(911\) | − | 792.591i | − | 0.870024i | −0.900425 | − | 0.435012i | \(-0.856744\pi\) | ||
0.900425 | − | 0.435012i | \(-0.143256\pi\) | |||||||
\(912\) | 323.229 | − | 437.959i | 0.354418 | − | 0.480218i | ||||
\(913\) | −159.052 | −0.174209 | ||||||||
\(914\) | 894.883i | 0.979084i | ||||||||
\(915\) | 84.3218 | − | 748.367i | 0.0921550 | − | 0.817888i | ||||
\(916\) | 853.784 | 0.932079 | ||||||||
\(917\) | −1261.12 | + | 728.106i | −1.37526 | + | 0.794009i | ||||
\(918\) | −239.450 | − | 1265.55i | −0.260839 | − | 1.37860i | ||||
\(919\) | 426.192 | − | 738.186i | 0.463756 | − | 0.803249i | −0.535388 | − | 0.844606i | \(-0.679835\pi\) |
0.999144 | + | 0.0413571i | \(0.0131681\pi\) | |||||||
\(920\) | −209.054 | − | 120.697i | −0.227232 | − | 0.131193i | ||||
\(921\) | −1375.22 | − | 154.952i | −1.49318 | − | 0.168243i | ||||
\(922\) | 209.875 | − | 363.513i | 0.227630 | − | 0.394266i | ||||
\(923\) | − | 942.763i | − | 1.02141i | ||||||
\(924\) | −83.4221 | + | 36.3965i | −0.0902836 | + | 0.0393902i | ||||
\(925\) | 342.200 | − | 592.707i | 0.369946 | − | 0.640765i | ||||
\(926\) | −1556.38 | + | 898.576i | −1.68076 | + | 0.970385i | ||||
\(927\) | 558.805 | + | 127.545i | 0.602810 | + | 0.137589i | ||||
\(928\) | 528.215 | − | 914.895i | 0.569197 | − | 0.985878i | ||||
\(929\) | − | 520.241i | − | 0.560001i | −0.960000 | − | 0.280000i | \(-0.909665\pi\) | ||
0.960000 | − | 0.280000i | \(-0.0903346\pi\) | |||||||
\(930\) | 274.954 | + | 630.204i | 0.295649 | + | 0.677638i | ||||
\(931\) | −236.496 | − | 409.623i | −0.254023 | − | 0.439981i | ||||
\(932\) | −434.526 | − | 250.874i | −0.466230 | − | 0.269178i | ||||
\(933\) | 277.291 | − | 120.980i | 0.297203 | − | 0.129668i | ||||
\(934\) | 704.245 | + | 1219.79i | 0.754010 | + | 1.30598i | ||||
\(935\) | 65.3901i | 0.0699359i | ||||||||
\(936\) | 513.354 | − | 158.347i | 0.548455 | − | 0.169174i | ||||
\(937\) | 1401.85 | 1.49610 | 0.748051 | − | 0.663642i | \(-0.230990\pi\) | ||||
0.748051 | + | 0.663642i | \(0.230990\pi\) | |||||||
\(938\) | −1639.74 | + | 460.295i | −1.74812 | + | 0.490720i | ||||
\(939\) | −255.370 | − | 585.316i | −0.271959 | − | 0.623340i | ||||
\(940\) | −41.8235 | + | 72.4405i | −0.0444931 | + | 0.0770644i | ||||
\(941\) | − | 1368.80i | − | 1.45463i | −0.686306 | − | 0.727313i | \(-0.740769\pi\) | ||
0.686306 | − | 0.727313i | \(-0.259231\pi\) | |||||||
\(942\) | 634.644 | + | 468.390i | 0.673720 | + | 0.497230i | ||||
\(943\) | 286.447 | 0.303761 | ||||||||
\(944\) | 1119.11 | + | 646.117i | 1.18550 | + | 0.684446i | ||||
\(945\) | 739.189 | − | 139.859i | 0.782211 | − | 0.147999i | ||||
\(946\) | 53.2477 | 0.0562872 | ||||||||
\(947\) | − | 912.803i | − | 0.963890i | −0.876202 | − | 0.481945i | \(-0.839931\pi\) | ||
0.876202 | − | 0.481945i | \(-0.160069\pi\) | |||||||
\(948\) | 819.030 | + | 92.2837i | 0.863955 | + | 0.0973457i | ||||
\(949\) | −412.020 | − | 713.640i | −0.434163 | − | 0.751992i | ||||
\(950\) | 347.142 | − | 200.422i | 0.365413 | − | 0.210971i | ||||
\(951\) | 165.591 | − | 1469.64i | 0.174123 | − | 1.54537i | ||||
\(952\) | −757.337 | −0.795522 | ||||||||
\(953\) | − | 483.395i | − | 0.507235i | −0.967305 | − | 0.253618i | \(-0.918380\pi\) | ||
0.967305 | − | 0.253618i | \(-0.0816205\pi\) | |||||||
\(954\) | −113.853 | − | 369.106i | −0.119343 | − | 0.386904i | ||||
\(955\) | −144.647 | + | 250.536i | −0.151463 | + | 0.262342i | ||||
\(956\) | −240.874 | − | 139.069i | −0.251961 | − | 0.145469i | ||||
\(957\) | −115.186 | − | 12.9785i | −0.120362 | − | 0.0135617i | ||||
\(958\) | −7.95662 | − | 13.7813i | −0.00830545 | − | 0.0143855i | ||||
\(959\) | −1120.66 | + | 647.014i | −1.16857 | + | 0.674675i | ||||
\(960\) | −55.8724 | + | 24.3768i | −0.0582005 | + | 0.0253925i | ||||
\(961\) | −50.2283 | + | 86.9979i | −0.0522667 | + | 0.0905286i | ||||
\(962\) | − | 1493.45i | − | 1.55244i | ||||||
\(963\) | −1136.03 | − | 1054.09i | −1.17968 | − | 1.09459i | ||||
\(964\) | 91.4633 | + | 158.419i | 0.0948789 | + | 0.164335i | ||||
\(965\) | 646.843i | 0.670304i | ||||||||
\(966\) | 1643.52 | + | 185.183i | 1.70137 | + | 0.191701i | ||||
\(967\) | −30.5652 | − | 52.9405i | −0.0316083 | − | 0.0547472i | 0.849789 | − | 0.527124i | \(-0.176730\pi\) |
−0.881397 | + | 0.472377i | \(0.843396\pi\) | |||||||
\(968\) | −414.589 | − | 239.363i | −0.428294 | − | 0.247276i | ||||
\(969\) | 415.979 | + | 307.008i | 0.429287 | + | 0.316829i | ||||
\(970\) | 597.941 | + | 1035.66i | 0.616434 | + | 1.06770i | ||||
\(971\) | −830.038 | + | 479.223i | −0.854828 | + | 0.493535i | −0.862277 | − | 0.506437i | \(-0.830962\pi\) |
0.00744873 | + | 0.999972i | \(0.497629\pi\) | |||||||
\(972\) | −497.472 | − | 312.588i | −0.511803 | − | 0.321592i | ||||
\(973\) | −227.717 | − | 394.418i | −0.234036 | − | 0.405363i | ||||
\(974\) | 1396.63 | − | 806.347i | 1.43392 | − | 0.827872i | ||||
\(975\) | 767.561 | + | 86.4845i | 0.787242 | + | 0.0887020i | ||||
\(976\) | 896.134 | + | 1552.15i | 0.918170 | + | 1.59032i | ||||
\(977\) | 829.456 | + | 478.887i | 0.848983 | + | 0.490160i | 0.860307 | − | 0.509775i | \(-0.170272\pi\) |
−0.0113248 | + | 0.999936i | \(0.503605\pi\) | |||||||
\(978\) | 851.481 | − | 371.496i | 0.870635 | − | 0.379852i | ||||
\(979\) | −37.0787 | − | 64.2222i | −0.0378741 | − | 0.0655998i | ||||
\(980\) | 346.991i | 0.354072i | ||||||||
\(981\) | −509.964 | + | 549.607i | −0.519841 | + | 0.560252i | ||||
\(982\) | −500.370 | + | 866.667i | −0.509542 | + | 0.882552i | ||||
\(983\) | − | 1650.39i | − | 1.67893i | −0.543416 | − | 0.839464i | \(-0.682869\pi\) | ||
0.543416 | − | 0.839464i | \(-0.317131\pi\) | |||||||
\(984\) | −94.3082 | + | 127.783i | −0.0958417 | + | 0.129860i | ||||
\(985\) | −290.030 | − | 502.346i | −0.294447 | − | 0.509996i | ||||
\(986\) | 1276.45 | + | 736.962i | 1.29458 | + | 0.747426i | ||||
\(987\) | −41.9913 | + | 372.678i | −0.0425444 | + | 0.377587i | ||||
\(988\) | 164.764 | − | 285.380i | 0.166765 | − | 0.288846i | ||||
\(989\) | −315.691 | − | 182.265i | −0.319203 | − | 0.184292i | ||||
\(990\) | 58.0390 | + | 53.8527i | 0.0586253 | + | 0.0543966i | ||||
\(991\) | 1398.10 | 1.41079 | 0.705397 | − | 0.708812i | \(-0.250769\pi\) | ||||
0.705397 | + | 0.708812i | \(0.250769\pi\) | |||||||
\(992\) | −964.723 | − | 556.983i | −0.972503 | − | 0.561475i | ||||
\(993\) | 73.7745 | − | 99.9606i | 0.0742946 | − | 0.100665i | ||||
\(994\) | 804.608 | + | 1393.62i | 0.809464 | + | 1.40203i | ||||
\(995\) | 365.241 | + | 210.872i | 0.367077 | + | 0.211932i | ||||
\(996\) | 845.568 | − | 368.916i | 0.848964 | − | 0.370398i | ||||
\(997\) | 226.817 | 0.227500 | 0.113750 | − | 0.993509i | \(-0.463714\pi\) | ||||
0.113750 | + | 0.993509i | \(0.463714\pi\) | |||||||
\(998\) | −1947.54 | + | 1124.41i | −1.95145 | + | 1.12667i | ||||
\(999\) | 810.132 | − | 697.169i | 0.810943 | − | 0.697867i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 201.3.g.b.29.11 | ✓ | 84 | |
3.2 | odd | 2 | inner | 201.3.g.b.29.32 | yes | 84 | |
67.37 | even | 3 | inner | 201.3.g.b.104.32 | yes | 84 | |
201.104 | odd | 6 | inner | 201.3.g.b.104.11 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.g.b.29.11 | ✓ | 84 | 1.1 | even | 1 | trivial | |
201.3.g.b.29.32 | yes | 84 | 3.2 | odd | 2 | inner | |
201.3.g.b.104.11 | yes | 84 | 201.104 | odd | 6 | inner | |
201.3.g.b.104.32 | yes | 84 | 67.37 | even | 3 | inner |