Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(5,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(342))
chi = DirichletCharacter(H, H._module([232]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.k (of order \(171\), degree \(108\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(1620\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{171})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{171}]$ |
Embedding invariants
Embedding label | 139.8 | ||
Character | \(\chi\) | \(=\) | 722.139 |
Dual form | 722.2.k.a.187.8 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{7}{171}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.991742 | + | 0.128249i | 0.701267 | + | 0.0906857i | ||||
\(3\) | −0.118857 | + | 0.174823i | −0.0686220 | + | 0.100934i | −0.859747 | − | 0.510720i | \(-0.829379\pi\) |
0.791125 | + | 0.611655i | \(0.209496\pi\) | |||||||
\(4\) | 0.967104 | + | 0.254380i | 0.483552 | + | 0.127190i | ||||
\(5\) | −0.00112835 | − | 0.122831i | −0.000504613 | − | 0.0549316i | −0.999833 | − | 0.0182835i | \(-0.994180\pi\) |
0.999328 | − | 0.0366482i | \(-0.0116681\pi\) | |||||||
\(6\) | −0.140296 | + | 0.158136i | −0.0572757 | + | 0.0645589i | ||||
\(7\) | −3.18946 | − | 1.50514i | −1.20550 | − | 0.568890i | −0.284585 | − | 0.958651i | \(-0.591856\pi\) |
−0.920916 | + | 0.389761i | \(0.872558\pi\) | |||||||
\(8\) | 0.926494 | + | 0.376309i | 0.327565 | + | 0.133045i | ||||
\(9\) | 1.08691 | + | 2.74818i | 0.362304 | + | 0.916059i | ||||
\(10\) | 0.0146339 | − | 0.121961i | 0.00462765 | − | 0.0385675i | ||||
\(11\) | 3.42643 | + | 2.10622i | 1.03311 | + | 0.635048i | 0.932981 | − | 0.359927i | \(-0.117198\pi\) |
0.100126 | + | 0.994975i | \(0.468075\pi\) | |||||||
\(12\) | −0.159418 | + | 0.138838i | −0.0460201 | + | 0.0400790i | ||||
\(13\) | 0.357189 | + | 3.52289i | 0.0990663 | + | 0.977075i | 0.916226 | + | 0.400663i | \(0.131220\pi\) |
−0.817159 | + | 0.576412i | \(0.804452\pi\) | |||||||
\(14\) | −2.97009 | − | 1.90176i | −0.793789 | − | 0.508266i | ||||
\(15\) | 0.0216078 | + | 0.0144020i | 0.00557911 | + | 0.00371859i | ||||
\(16\) | 0.870582 | + | 0.492024i | 0.217645 | + | 0.123006i | ||||
\(17\) | 1.50569 | + | 1.51958i | 0.365183 | + | 0.368553i | 0.868620 | − | 0.495479i | \(-0.165007\pi\) |
−0.503437 | + | 0.864032i | \(0.667931\pi\) | |||||||
\(18\) | 0.725486 | + | 2.86488i | 0.170999 | + | 0.675258i | ||||
\(19\) | 4.33383 | + | 0.466860i | 0.994248 | + | 0.107105i | ||||
\(20\) | 0.0301545 | − | 0.119077i | 0.00674274 | − | 0.0266265i | ||||
\(21\) | 0.642222 | − | 0.378695i | 0.140144 | − | 0.0826381i | ||||
\(22\) | 3.12801 | + | 2.52826i | 0.666894 | + | 0.539027i | ||||
\(23\) | −0.704656 | + | 0.0518768i | −0.146931 | + | 0.0108171i | −0.146687 | − | 0.989183i | \(-0.546861\pi\) |
−0.000243507 | 1.00000i | \(0.500078\pi\) | ||||||||
\(24\) | −0.175908 | + | 0.117246i | −0.0359070 | + | 0.0239327i | ||||
\(25\) | 4.98407 | − | 0.0915771i | 0.996814 | − | 0.0183154i | ||||
\(26\) | −0.0975687 | + | 3.53961i | −0.0191348 | + | 0.694175i | ||||
\(27\) | −1.22848 | − | 0.275310i | −0.236422 | − | 0.0529834i | ||||
\(28\) | −2.70166 | − | 2.26696i | −0.510566 | − | 0.428416i | ||||
\(29\) | 3.28180 | − | 4.64138i | 0.609416 | − | 0.861883i | −0.388817 | − | 0.921315i | \(-0.627116\pi\) |
0.998232 | + | 0.0594320i | \(0.0189289\pi\) | |||||||
\(30\) | 0.0195823 | + | 0.0170543i | 0.00357523 | + | 0.00311367i | ||||
\(31\) | 0.766208 | + | 2.44970i | 0.137615 | + | 0.439980i | 0.997513 | − | 0.0704868i | \(-0.0224553\pi\) |
−0.859898 | + | 0.510466i | \(0.829473\pi\) | |||||||
\(32\) | 0.800291 | + | 0.599612i | 0.141473 | + | 0.105997i | ||||
\(33\) | −0.775470 | + | 0.348681i | −0.134992 | + | 0.0606976i | ||||
\(34\) | 1.29837 | + | 1.70014i | 0.222669 | + | 0.291571i | ||||
\(35\) | −0.181279 | + | 0.393462i | −0.0306417 | + | 0.0665072i | ||||
\(36\) | 0.352077 | + | 2.93426i | 0.0586795 | + | 0.489044i | ||||
\(37\) | 1.88405 | − | 1.01960i | 0.309736 | − | 0.167621i | −0.313642 | − | 0.949541i | \(-0.601549\pi\) |
0.623378 | + | 0.781920i | \(0.285760\pi\) | |||||||
\(38\) | 4.23816 | + | 1.01881i | 0.687521 | + | 0.165273i | ||||
\(39\) | −0.658338 | − | 0.356275i | −0.105418 | − | 0.0570496i | ||||
\(40\) | 0.0451770 | − | 0.114227i | 0.00714311 | − | 0.0180608i | ||||
\(41\) | −0.951091 | + | 0.995809i | −0.148535 | + | 0.155519i | −0.793232 | − | 0.608919i | \(-0.791603\pi\) |
0.644697 | + | 0.764438i | \(0.276984\pi\) | |||||||
\(42\) | 0.685486 | − | 0.293204i | 0.105773 | − | 0.0452423i | ||||
\(43\) | −8.50721 | − | 3.63880i | −1.29734 | − | 0.554911i | −0.369963 | − | 0.929047i | \(-0.620630\pi\) |
−0.927374 | + | 0.374135i | \(0.877940\pi\) | |||||||
\(44\) | 2.77793 | + | 2.90855i | 0.418789 | + | 0.438480i | ||||
\(45\) | 0.336335 | − | 0.136607i | 0.0501378 | − | 0.0203642i | ||||
\(46\) | −0.705490 | − | 0.0389230i | −0.104019 | − | 0.00573888i | ||||
\(47\) | −3.95517 | − | 0.810366i | −0.576921 | − | 0.118204i | −0.0966412 | − | 0.995319i | \(-0.530810\pi\) |
−0.480280 | + | 0.877115i | \(0.659465\pi\) | |||||||
\(48\) | −0.189492 | + | 0.0937177i | −0.0273508 | + | 0.0135270i | ||||
\(49\) | 3.45712 | + | 4.19775i | 0.493874 | + | 0.599678i | ||||
\(50\) | 4.95466 | + | 0.548381i | 0.700694 | + | 0.0775528i | ||||
\(51\) | −0.444620 | + | 0.0826167i | −0.0622593 | + | 0.0115687i | ||||
\(52\) | −0.550714 | + | 3.49787i | −0.0763704 | + | 0.485067i | ||||
\(53\) | −2.18930 | − | 6.57323i | −0.300724 | − | 0.902902i | −0.984830 | − | 0.173520i | \(-0.944486\pi\) |
0.684106 | − | 0.729382i | \(-0.260192\pi\) | |||||||
\(54\) | −1.18303 | − | 0.430588i | −0.160990 | − | 0.0585956i | ||||
\(55\) | 0.254842 | − | 0.423247i | 0.0343629 | − | 0.0570707i | ||||
\(56\) | −2.38861 | − | 2.59473i | −0.319192 | − | 0.346735i | ||||
\(57\) | −0.596722 | + | 0.702164i | −0.0790378 | + | 0.0930039i | ||||
\(58\) | 3.84996 | − | 4.18217i | 0.505524 | − | 0.549145i | ||||
\(59\) | 0.822326 | + | 2.80926i | 0.107058 | + | 0.365735i | 0.995674 | − | 0.0929170i | \(-0.0296191\pi\) |
−0.888616 | + | 0.458652i | \(0.848333\pi\) | |||||||
\(60\) | 0.0172334 | + | 0.0194248i | 0.00222483 | + | 0.00250774i | ||||
\(61\) | −9.21705 | + | 8.32978i | −1.18012 | + | 1.06652i | −0.183616 | + | 0.982998i | \(0.558780\pi\) |
−0.996506 | + | 0.0835207i | \(0.973384\pi\) | |||||||
\(62\) | 0.445708 | + | 2.52774i | 0.0566050 | + | 0.321023i | ||||
\(63\) | 0.669734 | − | 10.4011i | 0.0843785 | − | 1.31042i | ||||
\(64\) | 0.716783 | + | 0.697297i | 0.0895978 | + | 0.0871621i | ||||
\(65\) | 0.432317 | − | 0.0478488i | 0.0536223 | − | 0.00593492i | ||||
\(66\) | −0.813784 | + | 0.246349i | −0.100170 | + | 0.0303234i | ||||
\(67\) | −7.61455 | − | 0.279913i | −0.930265 | − | 0.0341968i | −0.432619 | − | 0.901577i | \(-0.642410\pi\) |
−0.497646 | + | 0.867380i | \(0.665802\pi\) | |||||||
\(68\) | 1.06961 | + | 1.85261i | 0.129709 | + | 0.224662i | ||||
\(69\) | 0.0746838 | − | 0.129356i | 0.00899088 | − | 0.0155727i | ||||
\(70\) | −0.230243 | + | 0.366964i | −0.0275193 | + | 0.0438606i | ||||
\(71\) | −8.88762 | − | 8.03206i | −1.05477 | − | 0.953230i | −0.0557885 | − | 0.998443i | \(-0.517767\pi\) |
−0.998977 | + | 0.0452124i | \(0.985604\pi\) | |||||||
\(72\) | −0.0271469 | + | 2.95519i | −0.00319930 | + | 0.348272i | ||||
\(73\) | −1.81199 | + | 6.64028i | −0.212077 | + | 0.777187i | 0.776964 | + | 0.629545i | \(0.216759\pi\) |
−0.989041 | + | 0.147641i | \(0.952832\pi\) | |||||||
\(74\) | 1.99926 | − | 0.769550i | 0.232409 | − | 0.0894584i | ||||
\(75\) | −0.576381 | + | 0.882216i | −0.0665547 | + | 0.101870i | ||||
\(76\) | 4.07250 | + | 1.55394i | 0.467148 | + | 0.178249i | ||||
\(77\) | −7.75829 | − | 11.8749i | −0.884139 | − | 1.35328i | ||||
\(78\) | −0.607210 | − | 0.437764i | −0.0687530 | − | 0.0495670i | ||||
\(79\) | 3.11906 | − | 2.33693i | 0.350921 | − | 0.262925i | −0.409562 | − | 0.912282i | \(-0.634319\pi\) |
0.760484 | + | 0.649357i | \(0.224962\pi\) | |||||||
\(80\) | 0.0594534 | − | 0.107489i | 0.00664709 | − | 0.0120177i | ||||
\(81\) | −6.27330 | + | 5.88235i | −0.697033 | + | 0.653594i | ||||
\(82\) | −1.07095 | + | 0.865609i | −0.118266 | + | 0.0955906i | ||||
\(83\) | 3.77076 | − | 10.0713i | 0.413895 | − | 1.10546i | −0.549055 | − | 0.835786i | \(-0.685012\pi\) |
0.962950 | − | 0.269678i | \(-0.0869174\pi\) | |||||||
\(84\) | 0.717428 | − | 0.202869i | 0.0782779 | − | 0.0221349i | ||||
\(85\) | 0.184953 | − | 0.186660i | 0.0200610 | − | 0.0202461i | ||||
\(86\) | −7.97028 | − | 4.69979i | −0.859458 | − | 0.506791i | ||||
\(87\) | 0.421357 | + | 1.12540i | 0.0451743 | + | 0.120655i | ||||
\(88\) | 2.38197 | + | 3.24079i | 0.253919 | + | 0.345470i | ||||
\(89\) | 3.32199 | + | 12.1739i | 0.352130 | + | 1.29043i | 0.893279 | + | 0.449503i | \(0.148399\pi\) |
−0.541149 | + | 0.840927i | \(0.682011\pi\) | |||||||
\(90\) | 0.351077 | − | 0.0923446i | 0.0370068 | − | 0.00973398i | ||||
\(91\) | 4.16321 | − | 11.7737i | 0.436423 | − | 1.23422i | ||||
\(92\) | −0.694672 | − | 0.129080i | −0.0724246 | − | 0.0134575i | ||||
\(93\) | −0.519334 | − | 0.157213i | −0.0538524 | − | 0.0163022i | ||||
\(94\) | −3.81858 | − | 1.31092i | −0.393857 | − | 0.135211i | ||||
\(95\) | 0.0524547 | − | 0.532854i | 0.00538174 | − | 0.0546697i | ||||
\(96\) | −0.199946 | + | 0.0686416i | −0.0204069 | + | 0.00700570i | ||||
\(97\) | 5.73908 | − | 0.210971i | 0.582716 | − | 0.0214208i | 0.256218 | − | 0.966619i | \(-0.417523\pi\) |
0.326497 | + | 0.945198i | \(0.394132\pi\) | |||||||
\(98\) | 2.89021 | + | 4.60645i | 0.291956 | + | 0.465322i | ||||
\(99\) | −2.06403 | + | 11.7057i | −0.207443 | + | 1.17647i | ||||
\(100\) | 4.84341 | + | 1.17928i | 0.484341 | + | 0.117928i | ||||
\(101\) | 10.7800 | + | 1.59590i | 1.07265 | + | 0.158798i | 0.659379 | − | 0.751811i | \(-0.270819\pi\) |
0.413270 | + | 0.910608i | \(0.364386\pi\) | |||||||
\(102\) | −0.451544 | + | 0.0249124i | −0.0447095 | + | 0.00246669i | ||||
\(103\) | 13.6784 | − | 6.45501i | 1.34778 | − | 0.636031i | 0.389276 | − | 0.921121i | \(-0.372725\pi\) |
0.958501 | + | 0.285090i | \(0.0920236\pi\) | |||||||
\(104\) | −0.994765 | + | 3.39835i | −0.0975447 | + | 0.333236i | ||||
\(105\) | −0.0472401 | − | 0.0784574i | −0.00461016 | − | 0.00765666i | ||||
\(106\) | −1.32822 | − | 6.79972i | −0.129008 | − | 0.660447i | ||||
\(107\) | 2.76848 | − | 0.620432i | 0.267639 | − | 0.0599794i | −0.0827952 | − | 0.996567i | \(-0.526385\pi\) |
0.350435 | + | 0.936587i | \(0.386034\pi\) | |||||||
\(108\) | −1.11804 | − | 0.578755i | −0.107583 | − | 0.0556907i | ||||
\(109\) | 2.74481 | − | 8.24110i | 0.262905 | − | 0.789355i | −0.731319 | − | 0.682035i | \(-0.761095\pi\) |
0.994225 | − | 0.107319i | \(-0.0342267\pi\) | |||||||
\(110\) | 0.307019 | − | 0.387069i | 0.0292731 | − | 0.0369056i | ||||
\(111\) | −0.0456828 | + | 0.450562i | −0.00433602 | + | 0.0427655i | ||||
\(112\) | −2.03612 | − | 2.87964i | −0.192395 | − | 0.272100i | ||||
\(113\) | −0.0570918 | + | 0.688996i | −0.00537075 | + | 0.0648153i | −0.998743 | − | 0.0501280i | \(-0.984037\pi\) |
0.993372 | + | 0.114943i | \(0.0366686\pi\) | |||||||
\(114\) | −0.681847 | + | 0.619837i | −0.0638608 | + | 0.0580530i | ||||
\(115\) | 0.00716718 | + | 0.0864950i | 0.000668343 | + | 0.00806570i | ||||
\(116\) | 4.35452 | − | 3.65388i | 0.404307 | − | 0.339254i | ||||
\(117\) | −9.29330 | + | 4.81069i | −0.859166 | + | 0.444749i | ||||
\(118\) | 0.455250 | + | 2.89153i | 0.0419092 | + | 0.266186i | ||||
\(119\) | −2.51514 | − | 7.11292i | −0.230563 | − | 0.652041i | ||||
\(120\) | 0.0145999 | + | 0.0214746i | 0.00133278 | + | 0.00196035i | ||||
\(121\) | 2.33738 | + | 4.61879i | 0.212489 | + | 0.419890i | ||||
\(122\) | −10.2092 | + | 7.07891i | −0.924299 | + | 0.640895i | ||||
\(123\) | −0.0610471 | − | 0.284632i | −0.00550443 | − | 0.0256644i | ||||
\(124\) | 0.117848 | + | 2.56403i | 0.0105830 | + | 0.230256i | ||||
\(125\) | −0.0337956 | − | 1.22604i | −0.00302277 | − | 0.109660i | ||||
\(126\) | 1.99814 | − | 10.2294i | 0.178008 | − | 0.911304i | ||||
\(127\) | −1.24381 | + | 0.452708i | −0.110370 | + | 0.0401713i | −0.396615 | − | 0.917985i | \(-0.629815\pi\) |
0.286245 | + | 0.958156i | \(0.407593\pi\) | |||||||
\(128\) | 0.621436 | + | 0.783465i | 0.0549277 | + | 0.0692492i | ||||
\(129\) | 1.64729 | − | 1.05476i | 0.145035 | − | 0.0928667i | ||||
\(130\) | 0.434884 | + | 0.00799053i | 0.0381418 | + | 0.000700816i | ||||
\(131\) | −0.0267479 | + | 0.581957i | −0.00233698 | + | 0.0508458i | −0.999790 | − | 0.0204758i | \(-0.993482\pi\) |
0.997453 | + | 0.0713216i | \(0.0227217\pi\) | |||||||
\(132\) | −0.838658 | + | 0.139947i | −0.0729958 | + | 0.0121808i | ||||
\(133\) | −13.1199 | − | 8.01205i | −1.13764 | − | 0.694733i | ||||
\(134\) | −7.51577 | − | 1.25416i | −0.649264 | − | 0.108343i | ||||
\(135\) | −0.0324304 | + | 0.151206i | −0.00279116 | + | 0.0130138i | ||||
\(136\) | 0.823178 | + | 1.97449i | 0.0705870 | + | 0.169311i | ||||
\(137\) | −4.34628 | − | 8.21052i | −0.371328 | − | 0.701472i | 0.625571 | − | 0.780167i | \(-0.284866\pi\) |
−0.996899 | + | 0.0786955i | \(0.974925\pi\) | |||||||
\(138\) | 0.0906569 | − | 0.118710i | 0.00771723 | − | 0.0101053i | ||||
\(139\) | 2.95698 | − | 12.6490i | 0.250808 | − | 1.07287i | −0.687258 | − | 0.726414i | \(-0.741186\pi\) |
0.938066 | − | 0.346457i | \(-0.112615\pi\) | |||||||
\(140\) | −0.275404 | + | 0.334405i | −0.0232759 | + | 0.0282624i | ||||
\(141\) | 0.611770 | − | 0.595139i | 0.0515203 | − | 0.0501197i | ||||
\(142\) | −7.78412 | − | 9.10556i | −0.653229 | − | 0.764122i | ||||
\(143\) | −6.19610 | + | 12.8233i | −0.518144 | + | 1.07233i | ||||
\(144\) | −0.405922 | + | 2.92730i | −0.0338269 | + | 0.243942i | ||||
\(145\) | −0.573808 | − | 0.397870i | −0.0476522 | − | 0.0330413i | ||||
\(146\) | −2.64863 | + | 6.35306i | −0.219203 | + | 0.525783i | ||||
\(147\) | −1.14477 | + | 0.105454i | −0.0944187 | + | 0.00869773i | ||||
\(148\) | 2.08144 | − | 0.506793i | 0.171093 | − | 0.0416581i | ||||
\(149\) | 0.241570 | + | 3.75166i | 0.0197902 | + | 0.307348i | 0.995925 | + | 0.0901829i | \(0.0287452\pi\) |
−0.976135 | + | 0.217165i | \(0.930319\pi\) | |||||||
\(150\) | −0.684764 | + | 0.801011i | −0.0559108 | + | 0.0654022i | ||||
\(151\) | −9.00173 | − | 20.5219i | −0.732551 | − | 1.67005i | −0.742276 | − | 0.670094i | \(-0.766254\pi\) |
0.00972520 | − | 0.999953i | \(-0.496904\pi\) | |||||||
\(152\) | 3.83958 | + | 2.06340i | 0.311431 | + | 0.167364i | ||||
\(153\) | −2.53954 | + | 5.78956i | −0.205309 | + | 0.468058i | ||||
\(154\) | −6.17127 | − | 12.7719i | −0.497295 | − | 1.02919i | ||||
\(155\) | 0.300035 | − | 0.0968781i | 0.0240994 | − | 0.00778143i | ||||
\(156\) | −0.546053 | − | 0.512023i | −0.0437192 | − | 0.0409946i | ||||
\(157\) | −7.37455 | − | 0.542915i | −0.588553 | − | 0.0433294i | −0.224124 | − | 0.974561i | \(-0.571952\pi\) |
−0.364429 | + | 0.931231i | \(0.618736\pi\) | |||||||
\(158\) | 3.39301 | − | 1.91762i | 0.269933 | − | 0.152557i | ||||
\(159\) | 1.40937 | + | 0.398531i | 0.111770 | + | 0.0316056i | ||||
\(160\) | 0.0727478 | − | 0.0989770i | 0.00575122 | − | 0.00782482i | ||||
\(161\) | 2.32555 | + | 0.895147i | 0.183279 | + | 0.0705475i | ||||
\(162\) | −6.97590 | + | 5.02923i | −0.548078 | + | 0.395134i | ||||
\(163\) | 4.23257 | − | 13.5323i | 0.331520 | − | 1.05993i | −0.627982 | − | 0.778228i | \(-0.716119\pi\) |
0.959502 | − | 0.281701i | \(-0.0908987\pi\) | |||||||
\(164\) | −1.17312 | + | 0.721113i | −0.0916051 | + | 0.0563095i | ||||
\(165\) | 0.0437038 | + | 0.0948582i | 0.00340234 | + | 0.00738470i | ||||
\(166\) | 5.03125 | − | 9.50449i | 0.390501 | − | 0.737692i | ||||
\(167\) | 0.328412 | + | 0.0302529i | 0.0254133 | + | 0.00234104i | 0.104429 | − | 0.994532i | \(-0.466698\pi\) |
−0.0790162 | + | 0.996873i | \(0.525178\pi\) | |||||||
\(168\) | 0.737522 | − | 0.109185i | 0.0569010 | − | 0.00842378i | ||||
\(169\) | 0.452244 | − | 0.0926593i | 0.0347880 | − | 0.00712764i | ||||
\(170\) | 0.207365 | − | 0.161398i | 0.0159041 | − | 0.0123787i | ||||
\(171\) | 3.42748 | + | 12.4176i | 0.262106 | + | 0.949594i | ||||
\(172\) | −7.30172 | − | 5.68316i | −0.556751 | − | 0.433337i | ||||
\(173\) | −21.1773 | − | 10.4737i | −1.61008 | − | 0.796302i | −0.999992 | − | 0.00396701i | \(-0.998737\pi\) |
−0.610086 | − | 0.792335i | \(-0.708865\pi\) | |||||||
\(174\) | 0.273547 | + | 1.17014i | 0.0207375 | + | 0.0887081i | ||||
\(175\) | −16.0343 | − | 7.20965i | −1.21208 | − | 0.544998i | ||||
\(176\) | 1.94668 | + | 3.51952i | 0.146736 | + | 0.265294i | ||||
\(177\) | −0.588863 | − | 0.190138i | −0.0442617 | − | 0.0142916i | ||||
\(178\) | 1.73326 | + | 12.4994i | 0.129914 | + | 0.936869i | ||||
\(179\) | −8.58865 | + | 16.9716i | −0.641946 | + | 1.26852i | 0.306588 | + | 0.951842i | \(0.400813\pi\) |
−0.948533 | + | 0.316677i | \(0.897433\pi\) | |||||||
\(180\) | 0.360021 | − | 0.0465568i | 0.0268344 | − | 0.00347014i | ||||
\(181\) | 6.08362 | − | 0.786715i | 0.452192 | − | 0.0584760i | 0.101224 | − | 0.994864i | \(-0.467724\pi\) |
0.350968 | + | 0.936388i | \(0.385853\pi\) | |||||||
\(182\) | 5.63880 | − | 11.1426i | 0.417976 | − | 0.825943i | ||||
\(183\) | −0.360731 | − | 2.60141i | −0.0266660 | − | 0.192301i | ||||
\(184\) | −0.672381 | − | 0.217105i | −0.0495686 | − | 0.0160052i | ||||
\(185\) | −0.127364 | − | 0.230269i | −0.00936398 | − | 0.0169297i | ||||
\(186\) | −0.494883 | − | 0.222519i | −0.0362866 | − | 0.0163159i | ||||
\(187\) | 1.95856 | + | 8.37805i | 0.143224 | + | 0.612664i | ||||
\(188\) | −3.61892 | − | 1.78982i | −0.263937 | − | 0.130536i | ||||
\(189\) | 3.50382 | + | 2.72713i | 0.254865 | + | 0.198369i | ||||
\(190\) | 0.120360 | − | 0.521727i | 0.00873180 | − | 0.0378500i | ||||
\(191\) | −0.474873 | + | 0.369609i | −0.0343606 | + | 0.0267439i | −0.631247 | − | 0.775582i | \(-0.717457\pi\) |
0.596887 | + | 0.802325i | \(0.296404\pi\) | |||||||
\(192\) | −0.207098 | + | 0.0424319i | −0.0149460 | + | 0.00306226i | ||||
\(193\) | 16.1277 | − | 2.38759i | 1.16090 | − | 0.171862i | 0.461863 | − | 0.886951i | \(-0.347181\pi\) |
0.699034 | + | 0.715089i | \(0.253614\pi\) | |||||||
\(194\) | 5.71875 | + | 0.526804i | 0.410582 | + | 0.0378223i | ||||
\(195\) | −0.0430187 | + | 0.0812663i | −0.00308063 | + | 0.00581960i | ||||
\(196\) | 2.27557 | + | 4.93908i | 0.162541 | + | 0.352791i | ||||
\(197\) | −5.39385 | + | 3.31558i | −0.384296 | + | 0.236226i | −0.702327 | − | 0.711855i | \(-0.747855\pi\) |
0.318031 | + | 0.948080i | \(0.396978\pi\) | |||||||
\(198\) | −3.54823 | + | 11.3443i | −0.252162 | + | 0.806206i | ||||
\(199\) | 17.8057 | − | 12.8369i | 1.26221 | − | 0.909986i | 0.263708 | − | 0.964603i | \(-0.415055\pi\) |
0.998507 | + | 0.0546170i | \(0.0173938\pi\) | |||||||
\(200\) | 4.65217 | + | 1.79071i | 0.328958 | + | 0.126622i | ||||
\(201\) | 0.953976 | − | 1.29793i | 0.0672883 | − | 0.0915490i | ||||
\(202\) | 10.4863 | + | 2.96524i | 0.737814 | + | 0.208634i | ||||
\(203\) | −17.4531 | + | 9.86391i | −1.22497 | + | 0.692311i | ||||
\(204\) | −0.451010 | − | 0.0332034i | −0.0315770 | − | 0.00232470i | ||||
\(205\) | 0.123389 | + | 0.115700i | 0.00861788 | + | 0.00808082i | ||||
\(206\) | 14.3933 | − | 4.64746i | 1.00283 | − | 0.323804i | ||||
\(207\) | −0.908466 | − | 1.88013i | −0.0631427 | − | 0.130678i | ||||
\(208\) | −1.42239 | + | 3.24271i | −0.0986247 | + | 0.224842i | ||||
\(209\) | 13.8662 | + | 10.7276i | 0.959147 | + | 0.742046i | ||||
\(210\) | −0.0367879 | − | 0.0838680i | −0.00253861 | − | 0.00578744i | ||||
\(211\) | 1.80383 | − | 2.11005i | 0.124181 | − | 0.145262i | −0.694539 | − | 0.719455i | \(-0.744392\pi\) |
0.818720 | + | 0.574193i | \(0.194684\pi\) | |||||||
\(212\) | −0.445189 | − | 6.91391i | −0.0305757 | − | 0.474849i | ||||
\(213\) | 2.46054 | − | 0.599098i | 0.168594 | − | 0.0410495i | ||||
\(214\) | 2.82519 | − | 0.260253i | 0.193126 | − | 0.0177905i | ||||
\(215\) | −0.437357 | + | 1.04905i | −0.0298275 | + | 0.0715448i | ||||
\(216\) | −1.03458 | − | 0.717363i | −0.0703943 | − | 0.0488103i | ||||
\(217\) | 1.24336 | − | 8.96647i | 0.0844048 | − | 0.608684i | ||||
\(218\) | 3.77906 | − | 7.82103i | 0.255950 | − | 0.529707i | ||||
\(219\) | −0.945510 | − | 1.10602i | −0.0638916 | − | 0.0747379i | ||||
\(220\) | 0.354125 | − | 0.344498i | 0.0238751 | − | 0.0232260i | ||||
\(221\) | −4.81552 | + | 5.84716i | −0.323927 | + | 0.393323i | ||||
\(222\) | −0.103090 | + | 0.440983i | −0.00691893 | + | 0.0295968i | ||||
\(223\) | −1.93391 | + | 2.53234i | −0.129504 | + | 0.169578i | −0.854965 | − | 0.518685i | \(-0.826422\pi\) |
0.725461 | + | 0.688263i | \(0.241626\pi\) | |||||||
\(224\) | −1.64999 | − | 3.11699i | −0.110245 | − | 0.208262i | ||||
\(225\) | 5.66892 | + | 13.5976i | 0.377928 | + | 0.906505i | ||||
\(226\) | −0.144983 | + | 0.675984i | −0.00964415 | + | 0.0449658i | ||||
\(227\) | 18.0387 | + | 3.01013i | 1.19727 | + | 0.199790i | 0.729451 | − | 0.684033i | \(-0.239776\pi\) |
0.467822 | + | 0.883823i | \(0.345039\pi\) | |||||||
\(228\) | −0.755709 | + | 0.527272i | −0.0500481 | + | 0.0349194i | ||||
\(229\) | 3.26371 | − | 0.544617i | 0.215672 | − | 0.0359893i | −0.0557720 | − | 0.998444i | \(-0.517762\pi\) |
0.271444 | + | 0.962454i | \(0.412499\pi\) | |||||||
\(230\) | −0.00398490 | + | 0.0866999i | −0.000262757 | + | 0.00571682i | ||||
\(231\) | 2.99814 | + | 0.0550877i | 0.197263 | + | 0.00362451i | ||||
\(232\) | 4.78717 | − | 3.06524i | 0.314293 | − | 0.201243i | ||||
\(233\) | −5.29034 | − | 6.66971i | −0.346582 | − | 0.436947i | 0.579097 | − | 0.815259i | \(-0.303405\pi\) |
−0.925678 | + | 0.378311i | \(0.876505\pi\) | |||||||
\(234\) | −9.83352 | + | 3.57911i | −0.642838 | + | 0.233974i | ||||
\(235\) | −0.0950751 | + | 0.486732i | −0.00620202 | + | 0.0317509i | ||||
\(236\) | 0.0806555 | + | 2.92603i | 0.00525023 | + | 0.190468i | ||||
\(237\) | 0.0378288 | + | 0.823044i | 0.00245724 | + | 0.0534624i | ||||
\(238\) | −1.58215 | − | 7.37675i | −0.102555 | − | 0.478164i | ||||
\(239\) | −3.56320 | + | 2.47067i | −0.230484 | + | 0.159814i | −0.679419 | − | 0.733750i | \(-0.737768\pi\) |
0.448935 | + | 0.893564i | \(0.351803\pi\) | |||||||
\(240\) | 0.0117252 | + | 0.0231697i | 0.000756861 | + | 0.00149560i | ||||
\(241\) | −8.50652 | − | 12.5120i | −0.547953 | − | 0.805970i | 0.448169 | − | 0.893949i | \(-0.352076\pi\) |
−0.996122 | + | 0.0879787i | \(0.971959\pi\) | |||||||
\(242\) | 1.72572 | + | 4.88042i | 0.110934 | + | 0.313725i | ||||
\(243\) | −0.870153 | − | 5.52678i | −0.0558203 | − | 0.354543i | ||||
\(244\) | −11.0328 | + | 5.71113i | −0.706301 | + | 0.365618i | ||||
\(245\) | 0.511712 | − | 0.429377i | 0.0326921 | − | 0.0274319i | ||||
\(246\) | −0.0240392 | − | 0.290110i | −0.00153269 | − | 0.0184968i | ||||
\(247\) | −0.0967042 | + | 15.4344i | −0.00615314 | + | 0.982065i | ||||
\(248\) | −0.211959 | + | 2.55797i | −0.0134594 | + | 0.162431i | ||||
\(249\) | 1.31251 | + | 1.85625i | 0.0831770 | + | 0.117635i | ||||
\(250\) | 0.123722 | − | 1.22025i | 0.00782487 | − | 0.0771754i | ||||
\(251\) | −0.126031 | + | 0.158892i | −0.00795503 | + | 0.0100292i | −0.787427 | − | 0.616408i | \(-0.788587\pi\) |
0.779472 | + | 0.626438i | \(0.215488\pi\) | |||||||
\(252\) | 3.29355 | − | 9.88863i | 0.207474 | − | 0.622925i | ||||
\(253\) | −2.52372 | − | 1.30641i | −0.158665 | − | 0.0821330i | ||||
\(254\) | −1.29159 | + | 0.289453i | −0.0810418 | + | 0.0181619i | ||||
\(255\) | 0.0106496 | + | 0.0545199i | 0.000666902 | + | 0.00341417i | ||||
\(256\) | 0.515825 | + | 0.856694i | 0.0322391 | + | 0.0535434i | ||||
\(257\) | −7.83066 | + | 26.7514i | −0.488463 | + | 1.66871i | 0.230039 | + | 0.973181i | \(0.426115\pi\) |
−0.718502 | + | 0.695525i | \(0.755172\pi\) | |||||||
\(258\) | 1.76895 | − | 0.834790i | 0.110130 | − | 0.0519717i | ||||
\(259\) | −7.54374 | + | 0.416200i | −0.468745 | + | 0.0258614i | ||||
\(260\) | 0.430267 | + | 0.0636979i | 0.0266841 | + | 0.00395038i | ||||
\(261\) | 16.3224 | + | 3.97420i | 1.01033 | + | 0.245997i | ||||
\(262\) | −0.101162 | + | 0.573721i | −0.00624984 | + | 0.0354446i | ||||
\(263\) | −2.01674 | − | 3.21431i | −0.124358 | − | 0.198203i | 0.779077 | − | 0.626928i | \(-0.215688\pi\) |
−0.903435 | + | 0.428725i | \(0.858963\pi\) | |||||||
\(264\) | −0.849680 | + | 0.0312345i | −0.0522942 | + | 0.00192235i | ||||
\(265\) | −0.804925 | + | 0.276331i | −0.0494461 | + | 0.0169749i | ||||
\(266\) | −11.9840 | − | 9.62849i | −0.734785 | − | 0.590361i | ||||
\(267\) | −2.52312 | − | 0.866188i | −0.154412 | − | 0.0530099i | ||||
\(268\) | −7.29286 | − | 2.20769i | −0.445482 | − | 0.134856i | ||||
\(269\) | 26.8749 | + | 4.99375i | 1.63859 | + | 0.304474i | 0.920285 | − | 0.391249i | \(-0.127957\pi\) |
0.718310 | + | 0.695723i | \(0.244916\pi\) | |||||||
\(270\) | −0.0515546 | + | 0.145799i | −0.00313751 | + | 0.00887302i | ||||
\(271\) | 18.3411 | − | 4.82430i | 1.11414 | − | 0.293055i | 0.349131 | − | 0.937074i | \(-0.386477\pi\) |
0.765010 | + | 0.644019i | \(0.222734\pi\) | |||||||
\(272\) | 0.563154 | + | 2.06376i | 0.0341462 | + | 0.125134i | ||||
\(273\) | 1.56350 | + | 2.12721i | 0.0946272 | + | 0.128745i | ||||
\(274\) | −3.25740 | − | 8.70012i | −0.196787 | − | 0.525593i | ||||
\(275\) | 17.2704 | + | 10.1837i | 1.04145 | + | 0.614103i | ||||
\(276\) | 0.105133 | − | 0.106103i | 0.00632824 | − | 0.00638664i | ||||
\(277\) | −14.6845 | + | 4.15238i | −0.882305 | + | 0.249492i | −0.682976 | − | 0.730441i | \(-0.739315\pi\) |
−0.199329 | + | 0.979933i | \(0.563876\pi\) | |||||||
\(278\) | 4.55478 | − | 12.1653i | 0.273178 | − | 0.729625i | ||||
\(279\) | −5.89942 | + | 4.76829i | −0.353189 | + | 0.285470i | ||||
\(280\) | −0.316017 | + | 0.296323i | −0.0188856 | + | 0.0177087i | ||||
\(281\) | 1.36728 | − | 2.47199i | 0.0815651 | − | 0.147467i | −0.831170 | − | 0.556018i | \(-0.812329\pi\) |
0.912735 | + | 0.408551i | \(0.133966\pi\) | |||||||
\(282\) | 0.683044 | − | 0.511765i | 0.0406747 | − | 0.0304752i | ||||
\(283\) | −13.4926 | − | 9.72739i | −0.802051 | − | 0.578233i | 0.107318 | − | 0.994225i | \(-0.465774\pi\) |
−0.909368 | + | 0.415992i | \(0.863435\pi\) | |||||||
\(284\) | −6.55206 | − | 10.0287i | −0.388793 | − | 0.595092i | ||||
\(285\) | 0.0869208 | + | 0.0725037i | 0.00514874 | + | 0.00429475i | ||||
\(286\) | −7.78950 | + | 11.9227i | −0.460603 | + | 0.705005i | ||||
\(287\) | 4.53230 | − | 1.74456i | 0.267533 | − | 0.102978i | ||||
\(288\) | −0.777994 | + | 2.85107i | −0.0458437 | + | 0.168001i | ||||
\(289\) | 0.114122 | − | 12.4232i | 0.00671308 | − | 0.730779i | ||||
\(290\) | −0.518043 | − | 0.468174i | −0.0304205 | − | 0.0274921i | ||||
\(291\) | −0.645246 | + | 1.02840i | −0.0378250 | + | 0.0602859i | ||||
\(292\) | −3.44154 | + | 5.96092i | −0.201401 | + | 0.348836i | ||||
\(293\) | 3.69390 | + | 6.39802i | 0.215800 | + | 0.373776i | 0.953520 | − | 0.301331i | \(-0.0974308\pi\) |
−0.737720 | + | 0.675107i | \(0.764097\pi\) | |||||||
\(294\) | −1.14884 | − | 0.0422316i | −0.0670015 | − | 0.00246300i | ||||
\(295\) | 0.344136 | − | 0.104177i | 0.0200364 | − | 0.00606541i | ||||
\(296\) | 2.12925 | − | 0.235665i | 0.123760 | − | 0.0136977i | ||||
\(297\) | −3.62945 | − | 3.53078i | −0.210602 | − | 0.204877i | ||||
\(298\) | −0.241570 | + | 3.75166i | −0.0139938 | + | 0.217328i | ||||
\(299\) | −0.434452 | − | 2.46390i | −0.0251250 | − | 0.142491i | ||||
\(300\) | −0.781838 | + | 0.706576i | −0.0451395 | + | 0.0407942i | ||||
\(301\) | 21.6565 | + | 24.4103i | 1.24826 | + | 1.40699i | ||||
\(302\) | −6.29549 | − | 21.5069i | −0.362264 | − | 1.23758i | ||||
\(303\) | −1.56028 | + | 1.69491i | −0.0896355 | + | 0.0973701i | ||||
\(304\) | 3.54324 | + | 2.53878i | 0.203219 | + | 0.145609i | ||||
\(305\) | 1.03355 | + | 1.12274i | 0.0591811 | + | 0.0642878i | ||||
\(306\) | −3.26107 | + | 5.41605i | −0.186423 | + | 0.309615i | ||||
\(307\) | 20.2239 | + | 7.36090i | 1.15424 | + | 0.420109i | 0.847036 | − | 0.531535i | \(-0.178385\pi\) |
0.307203 | + | 0.951644i | \(0.400607\pi\) | |||||||
\(308\) | −4.48233 | − | 13.4579i | −0.255404 | − | 0.766833i | ||||
\(309\) | −0.497288 | + | 3.15853i | −0.0282898 | + | 0.179683i | ||||
\(310\) | 0.309981 | − | 0.0575989i | 0.0176058 | − | 0.00327140i | ||||
\(311\) | −24.4595 | − | 2.70717i | −1.38697 | − | 0.153510i | −0.614678 | − | 0.788778i | \(-0.710714\pi\) |
−0.772292 | + | 0.635268i | \(0.780890\pi\) | |||||||
\(312\) | −0.475877 | − | 0.577825i | −0.0269412 | − | 0.0327129i | ||||
\(313\) | −2.59572 | + | 1.28378i | −0.146719 | + | 0.0725633i | −0.515191 | − | 0.857076i | \(-0.672279\pi\) |
0.368472 | + | 0.929639i | \(0.379881\pi\) | |||||||
\(314\) | −7.24402 | − | 1.48421i | −0.408804 | − | 0.0837589i | ||||
\(315\) | −1.27834 | − | 0.0705279i | −0.0720262 | − | 0.00397379i | ||||
\(316\) | 3.61092 | − | 1.46663i | 0.203130 | − | 0.0825044i | ||||
\(317\) | 0.955913 | + | 1.00086i | 0.0536894 | + | 0.0562138i | 0.749456 | − | 0.662054i | \(-0.230315\pi\) |
−0.695766 | + | 0.718268i | \(0.744935\pi\) | |||||||
\(318\) | 1.34662 | + | 0.575990i | 0.0755146 | + | 0.0322999i | ||||
\(319\) | 21.0206 | − | 8.99117i | 1.17693 | − | 0.503409i | ||||
\(320\) | 0.0848408 | − | 0.0888298i | 0.00474274 | − | 0.00496574i | ||||
\(321\) | −0.220587 | + | 0.557738i | −0.0123120 | + | 0.0311299i | ||||
\(322\) | 2.19155 | + | 1.18600i | 0.122130 | + | 0.0660935i | ||||
\(323\) | 5.81596 | + | 7.28856i | 0.323609 | + | 0.405546i | ||||
\(324\) | −7.56329 | + | 4.09305i | −0.420183 | + | 0.227391i | ||||
\(325\) | 2.10287 | + | 17.5256i | 0.116646 | + | 0.972147i | ||||
\(326\) | 5.93312 | − | 12.8777i | 0.328605 | − | 0.713230i | ||||
\(327\) | 1.11450 | + | 1.45937i | 0.0616318 | + | 0.0807033i | ||||
\(328\) | −1.25591 | + | 0.564707i | −0.0693462 | + | 0.0311807i | ||||
\(329\) | 11.3951 | + | 8.53772i | 0.628234 | + | 0.470700i | ||||
\(330\) | 0.0311774 | + | 0.0996798i | 0.00171626 | + | 0.00548719i | ||||
\(331\) | −6.71532 | − | 5.84838i | −0.369108 | − | 0.321456i | 0.452227 | − | 0.891903i | \(-0.350630\pi\) |
−0.821335 | + | 0.570447i | \(0.806770\pi\) | |||||||
\(332\) | 6.20865 | − | 8.78075i | 0.340744 | − | 0.481906i | ||||
\(333\) | 4.84983 | + | 4.06949i | 0.265769 | + | 0.223007i | ||||
\(334\) | 0.321820 | + | 0.0721216i | 0.0176092 | + | 0.00394632i | ||||
\(335\) | −0.0257901 | + | 0.935617i | −0.00140906 | + | 0.0511182i | ||||
\(336\) | 0.745434 | − | 0.0136966i | 0.0406668 | − | 0.000747209i | ||||
\(337\) | 2.64595 | − | 1.76357i | 0.144134 | − | 0.0960680i | −0.480464 | − | 0.877014i | \(-0.659532\pi\) |
0.624598 | + | 0.780946i | \(0.285263\pi\) | |||||||
\(338\) | 0.460393 | − | 0.0338942i | 0.0250421 | − | 0.00184360i | ||||
\(339\) | −0.113667 | − | 0.0918728i | −0.00617353 | − | 0.00498984i | ||||
\(340\) | 0.226351 | − | 0.133471i | 0.0122756 | − | 0.00723849i | ||||
\(341\) | −2.53425 | + | 10.0075i | −0.137237 | + | 0.541938i | ||||
\(342\) | 1.80663 | + | 12.7546i | 0.0976915 | + | 0.689689i | ||||
\(343\) | 1.35226 | + | 5.33996i | 0.0730152 | + | 0.288331i | ||||
\(344\) | −6.51256 | − | 6.57266i | −0.351134 | − | 0.354374i | ||||
\(345\) | −0.0159732 | − | 0.00902752i | −0.000859968 | − | 0.000486025i | ||||
\(346\) | −19.6591 | − | 13.1032i | −1.05688 | − | 0.704432i | ||||
\(347\) | 7.80569 | + | 4.99801i | 0.419031 | + | 0.268307i | 0.731796 | − | 0.681523i | \(-0.238682\pi\) |
−0.312765 | + | 0.949830i | \(0.601255\pi\) | |||||||
\(348\) | 0.121219 | + | 1.19556i | 0.00649800 | + | 0.0640887i | ||||
\(349\) | −19.3570 | + | 16.8580i | −1.03616 | + | 0.902388i | −0.995306 | − | 0.0967771i | \(-0.969147\pi\) |
−0.0408490 | + | 0.999165i | \(0.513006\pi\) | |||||||
\(350\) | −14.9773 | − | 9.20649i | −0.800569 | − | 0.492108i | ||||
\(351\) | 0.531086 | − | 4.42615i | 0.0283473 | − | 0.236251i | ||||
\(352\) | 1.47923 | + | 3.74011i | 0.0788430 | + | 0.199349i | ||||
\(353\) | −23.2431 | − | 9.44052i | −1.23710 | − | 0.502468i | −0.338391 | − | 0.941006i | \(-0.609883\pi\) |
−0.898713 | + | 0.438538i | \(0.855497\pi\) | |||||||
\(354\) | −0.559616 | − | 0.264089i | −0.0297432 | − | 0.0140362i | ||||
\(355\) | −0.976557 | + | 1.10074i | −0.0518302 | + | 0.0584210i | ||||
\(356\) | 0.115916 | + | 12.6185i | 0.00614352 | + | 0.668777i | ||||
\(357\) | 1.54245 | + | 0.405714i | 0.0816349 | + | 0.0214726i | ||||
\(358\) | −10.6943 | + | 15.7300i | −0.565212 | + | 0.831356i | ||||
\(359\) | −20.6882 | − | 2.67533i | −1.09188 | − | 0.141198i | −0.438871 | − | 0.898550i | \(-0.644622\pi\) |
−0.653007 | + | 0.757351i | \(0.726493\pi\) | |||||||
\(360\) | 0.363019 | 0.0191328 | ||||||||
\(361\) | 18.5641 | + | 4.04658i | 0.977057 | + | 0.212978i | ||||
\(362\) | 6.13427 | 0.322410 | ||||||||
\(363\) | −1.08529 | − | 0.140346i | −0.0569628 | − | 0.00736625i | ||||
\(364\) | 7.02126 | − | 10.3274i | 0.368014 | − | 0.541302i | ||||
\(365\) | 0.817676 | + | 0.215075i | 0.0427991 | + | 0.0112576i | ||||
\(366\) | −0.0241247 | − | 2.62619i | −0.00126102 | − | 0.137273i | ||||
\(367\) | 0.776473 | − | 0.875210i | 0.0405315 | − | 0.0456856i | −0.727427 | − | 0.686185i | \(-0.759284\pi\) |
0.767959 | + | 0.640499i | \(0.221272\pi\) | |||||||
\(368\) | −0.638985 | − | 0.301544i | −0.0333094 | − | 0.0157191i | ||||
\(369\) | −3.77041 | − | 1.53141i | −0.196280 | − | 0.0797220i | ||||
\(370\) | −0.0967804 | − | 0.244702i | −0.00503137 | − | 0.0127214i | ||||
\(371\) | −2.91094 | + | 24.2602i | −0.151129 | + | 1.25953i | ||||
\(372\) | −0.462259 | − | 0.284149i | −0.0239670 | − | 0.0147325i | ||||
\(373\) | 19.8968 | − | 17.3281i | 1.03022 | − | 0.897216i | 0.0354476 | − | 0.999372i | \(-0.488714\pi\) |
0.994768 | + | 0.102156i | \(0.0325740\pi\) | |||||||
\(374\) | 0.867909 | + | 8.56005i | 0.0448785 | + | 0.442630i | ||||
\(375\) | 0.218357 | + | 0.139815i | 0.0112759 | + | 0.00722002i | ||||
\(376\) | −3.35949 | − | 2.23917i | −0.173253 | − | 0.115476i | ||||
\(377\) | 17.5233 | + | 9.90359i | 0.902497 | + | 0.510061i | ||||
\(378\) | 3.12513 | + | 3.15397i | 0.160739 | + | 0.162223i | ||||
\(379\) | −9.09281 | − | 35.9067i | −0.467066 | − | 1.84440i | −0.532334 | − | 0.846534i | \(-0.678685\pi\) |
0.0652681 | − | 0.997868i | \(-0.479210\pi\) | |||||||
\(380\) | 0.186277 | − | 0.501982i | 0.00955579 | − | 0.0257511i | ||||
\(381\) | 0.0686907 | − | 0.271254i | 0.00351913 | − | 0.0138967i | ||||
\(382\) | −0.518354 | + | 0.305654i | −0.0265213 | + | 0.0156386i | ||||
\(383\) | −18.2370 | − | 14.7403i | −0.931865 | − | 0.753193i | 0.0373776 | − | 0.999301i | \(-0.488100\pi\) |
−0.969242 | + | 0.246108i | \(0.920848\pi\) | |||||||
\(384\) | −0.210830 | + | 0.0155213i | −0.0107589 | + | 0.000792069i | ||||
\(385\) | −1.44986 | + | 0.966356i | −0.0738915 | + | 0.0492501i | ||||
\(386\) | 16.3007 | − | 0.299509i | 0.829685 | − | 0.0152446i | ||||
\(387\) | 0.753466 | − | 27.3344i | 0.0383009 | − | 1.38948i | ||||
\(388\) | 5.60396 | + | 1.25588i | 0.284498 | + | 0.0637575i | ||||
\(389\) | 23.4702 | + | 19.6938i | 1.18999 | + | 0.998516i | 0.999860 | + | 0.0167568i | \(0.00533411\pi\) |
0.190126 | + | 0.981760i | \(0.439110\pi\) | |||||||
\(390\) | −0.0530858 | + | 0.0750781i | −0.00268810 | + | 0.00380173i | ||||
\(391\) | −1.13982 | − | 0.992674i | −0.0576434 | − | 0.0502017i | ||||
\(392\) | 1.62335 | + | 5.19013i | 0.0819915 | + | 0.262141i | ||||
\(393\) | −0.0985605 | − | 0.0738457i | −0.00497172 | − | 0.00372502i | ||||
\(394\) | −5.77452 | + | 2.59645i | −0.290916 | + | 0.130807i | ||||
\(395\) | −0.290566 | − | 0.380480i | −0.0146200 | − | 0.0191440i | ||||
\(396\) | −4.97383 | + | 10.7956i | −0.249944 | + | 0.542499i | ||||
\(397\) | 0.355931 | + | 2.96638i | 0.0178637 | + | 0.148879i | 0.999016 | − | 0.0443591i | \(-0.0141246\pi\) |
−0.981152 | + | 0.193238i | \(0.938101\pi\) | |||||||
\(398\) | 19.3050 | − | 10.4474i | 0.967673 | − | 0.523678i | ||||
\(399\) | 2.96008 | − | 1.34137i | 0.148189 | − | 0.0671526i | ||||
\(400\) | 4.38410 | + | 2.37256i | 0.219205 | + | 0.118628i | ||||
\(401\) | 3.81160 | − | 9.63735i | 0.190342 | − | 0.481267i | −0.803067 | − | 0.595889i | \(-0.796800\pi\) |
0.993409 | + | 0.114623i | \(0.0365659\pi\) | |||||||
\(402\) | 1.11256 | − | 1.16487i | 0.0554893 | − | 0.0580983i | ||||
\(403\) | −8.35636 | + | 3.57427i | −0.416260 | + | 0.178047i | ||||
\(404\) | 10.0194 | + | 4.28561i | 0.498485 | + | 0.213217i | ||||
\(405\) | 0.729613 | + | 0.763917i | 0.0362547 | + | 0.0379594i | ||||
\(406\) | −18.5740 | + | 7.54411i | −0.921813 | + | 0.374408i | ||||
\(407\) | 8.60306 | + | 0.474644i | 0.426438 | + | 0.0235272i | ||||
\(408\) | −0.443027 | − | 0.0907708i | −0.0219331 | − | 0.00449383i | ||||
\(409\) | −0.180402 | + | 0.0892221i | −0.00892031 | + | 0.00441175i | −0.447773 | − | 0.894147i | \(-0.647783\pi\) |
0.438853 | + | 0.898559i | \(0.355385\pi\) | |||||||
\(410\) | 0.107532 | + | 0.130569i | 0.00531063 | + | 0.00644834i | ||||
\(411\) | 1.95197 | + | 0.216044i | 0.0962838 | + | 0.0106567i | ||||
\(412\) | 14.8705 | − | 2.76315i | 0.732617 | − | 0.136131i | ||||
\(413\) | 1.60556 | − | 10.1977i | 0.0790045 | − | 0.501798i | ||||
\(414\) | −0.659839 | − | 1.98112i | −0.0324293 | − | 0.0973666i | ||||
\(415\) | −1.24132 | − | 0.451802i | −0.0609338 | − | 0.0221781i | ||||
\(416\) | −1.82651 | + | 3.03351i | −0.0895522 | + | 0.148730i | ||||
\(417\) | 1.85988 | + | 2.02036i | 0.0910785 | + | 0.0989377i | ||||
\(418\) | 12.3759 | + | 12.4174i | 0.605326 | + | 0.607354i | ||||
\(419\) | −11.0465 | + | 11.9997i | −0.539657 | + | 0.586224i | −0.944643 | − | 0.328099i | \(-0.893592\pi\) |
0.404986 | + | 0.914323i | \(0.367276\pi\) | |||||||
\(420\) | −0.0257281 | − | 0.0878934i | −0.00125540 | − | 0.00428876i | ||||
\(421\) | 25.8889 | + | 29.1810i | 1.26175 | + | 1.42219i | 0.863054 | + | 0.505111i | \(0.168549\pi\) |
0.398695 | + | 0.917083i | \(0.369463\pi\) | |||||||
\(422\) | 2.05954 | − | 1.86129i | 0.100257 | − | 0.0906059i | ||||
\(423\) | −2.07190 | − | 11.7503i | −0.100739 | − | 0.571320i | ||||
\(424\) | 0.445189 | − | 6.91391i | 0.0216203 | − | 0.335769i | ||||
\(425\) | 7.64362 | + | 7.43583i | 0.370770 | + | 0.360691i | ||||
\(426\) | 2.51706 | − | 0.278588i | 0.121952 | − | 0.0134976i | ||||
\(427\) | 41.9349 | − | 12.6945i | 2.02937 | − | 0.614331i | ||||
\(428\) | 2.83524 | + | 0.104224i | 0.137046 | + | 0.00503787i | ||||
\(429\) | −1.50536 | − | 2.60735i | −0.0726792 | − | 0.125884i | ||||
\(430\) | −0.568286 | + | 0.984300i | −0.0274052 | + | 0.0474671i | ||||
\(431\) | −4.25902 | + | 6.78807i | −0.205150 | + | 0.326970i | −0.933722 | − | 0.357999i | \(-0.883459\pi\) |
0.728572 | + | 0.684969i | \(0.240184\pi\) | |||||||
\(432\) | −0.934037 | − | 0.844123i | −0.0449389 | − | 0.0406129i | ||||
\(433\) | −0.266481 | + | 29.0088i | −0.0128063 | + | 1.39408i | 0.710572 | + | 0.703624i | \(0.248436\pi\) |
−0.723379 | + | 0.690452i | \(0.757412\pi\) | |||||||
\(434\) | 2.38303 | − | 8.73297i | 0.114389 | − | 0.419196i | ||||
\(435\) | 0.137758 | − | 0.0530255i | 0.00660498 | − | 0.00254238i | ||||
\(436\) | 4.75089 | − | 7.27178i | 0.227526 | − | 0.348255i | ||||
\(437\) | −3.07807 | − | 0.104150i | −0.147244 | − | 0.00498218i | ||||
\(438\) | −0.795856 | − | 1.21815i | −0.0380275 | − | 0.0582053i | ||||
\(439\) | −9.24637 | − | 6.66611i | −0.441305 | − | 0.318156i | 0.342104 | − | 0.939662i | \(-0.388860\pi\) |
−0.783409 | + | 0.621506i | \(0.786521\pi\) | |||||||
\(440\) | 0.395382 | − | 0.296237i | 0.0188491 | − | 0.0141225i | ||||
\(441\) | −7.77857 | + | 14.0634i | −0.370408 | + | 0.669684i | ||||
\(442\) | −5.52565 | + | 5.18129i | −0.262828 | + | 0.246449i | ||||
\(443\) | −5.47292 | + | 4.42357i | −0.260027 | + | 0.210170i | −0.749774 | − | 0.661694i | \(-0.769838\pi\) |
0.489747 | + | 0.871865i | \(0.337089\pi\) | |||||||
\(444\) | −0.158794 | + | 0.424120i | −0.00753603 | + | 0.0201278i | ||||
\(445\) | 1.49158 | − | 0.421779i | 0.0707077 | − | 0.0199942i | ||||
\(446\) | −2.24271 | + | 2.26340i | −0.106195 | + | 0.107175i | ||||
\(447\) | −0.684589 | − | 0.403677i | −0.0323800 | − | 0.0190933i | ||||
\(448\) | −1.23662 | − | 3.30286i | −0.0584247 | − | 0.156045i | ||||
\(449\) | −16.6868 | − | 22.7032i | −0.787499 | − | 1.07143i | −0.995635 | − | 0.0933308i | \(-0.970249\pi\) |
0.208136 | − | 0.978100i | \(-0.433260\pi\) | |||||||
\(450\) | 3.87823 | + | 14.2123i | 0.182821 | + | 0.669975i | ||||
\(451\) | −5.35623 | + | 1.40886i | −0.252215 | + | 0.0663408i | ||||
\(452\) | −0.230480 | + | 0.651808i | −0.0108409 | + | 0.0306585i | ||||
\(453\) | 4.65762 | + | 0.865452i | 0.218834 | + | 0.0406625i | ||||
\(454\) | 17.5037 | + | 5.29872i | 0.821490 | + | 0.248681i | ||||
\(455\) | −1.45088 | − | 0.498086i | −0.0680181 | − | 0.0233506i | ||||
\(456\) | −0.817091 | + | 0.425999i | −0.0382638 | + | 0.0199492i | ||||
\(457\) | 2.57691 | − | 0.884653i | 0.120543 | − | 0.0413823i | −0.263768 | − | 0.964586i | \(-0.584965\pi\) |
0.384311 | + | 0.923204i | \(0.374439\pi\) | |||||||
\(458\) | 3.30660 | − | 0.121552i | 0.154507 | − | 0.00567974i | ||||
\(459\) | −1.43136 | − | 2.28132i | −0.0668101 | − | 0.106483i | ||||
\(460\) | −0.0150712 | + | 0.0854728i | −0.000702697 | + | 0.00398519i | ||||
\(461\) | −18.2928 | − | 4.45395i | −0.851979 | − | 0.207441i | −0.213369 | − | 0.976972i | \(-0.568444\pi\) |
−0.638610 | + | 0.769530i | \(0.720490\pi\) | |||||||
\(462\) | 2.96632 | + | 0.439141i | 0.138006 | + | 0.0204307i | ||||
\(463\) | −15.2948 | + | 0.843839i | −0.710811 | + | 0.0392165i | −0.406885 | − | 0.913479i | \(-0.633385\pi\) |
−0.303925 | + | 0.952696i | \(0.598297\pi\) | |||||||
\(464\) | 5.14075 | − | 2.42598i | 0.238653 | − | 0.112623i | ||||
\(465\) | −0.0187246 | + | 0.0639677i | −0.000868332 | + | 0.00296643i | ||||
\(466\) | −4.39127 | − | 7.29312i | −0.203422 | − | 0.337847i | ||||
\(467\) | 5.50452 | + | 28.1801i | 0.254719 | + | 1.30402i | 0.860934 | + | 0.508717i | \(0.169880\pi\) |
−0.606215 | + | 0.795301i | \(0.707313\pi\) | |||||||
\(468\) | −10.2113 | + | 2.28841i | −0.472019 | + | 0.105782i | ||||
\(469\) | 23.8650 | + | 12.3537i | 1.10198 | + | 0.570443i | ||||
\(470\) | −0.156713 | + | 0.470519i | −0.00722862 | + | 0.0217034i | ||||
\(471\) | 0.971430 | − | 1.22471i | 0.0447611 | − | 0.0564319i | ||||
\(472\) | −0.295271 | + | 2.91221i | −0.0135910 | + | 0.134045i | ||||
\(473\) | −21.4852 | − | 30.3861i | −0.987892 | − | 1.39715i | ||||
\(474\) | −0.0680382 | + | 0.821099i | −0.00312510 | + | 0.0377143i | ||||
\(475\) | 21.6428 | + | 1.92998i | 0.993042 | + | 0.0885537i | ||||
\(476\) | −0.623021 | − | 7.51874i | −0.0285561 | − | 0.344621i | ||||
\(477\) | 15.6848 | − | 13.1611i | 0.718158 | − | 0.602606i | ||||
\(478\) | −3.85064 | + | 1.99329i | −0.176124 | + | 0.0911709i | ||||
\(479\) | 5.95258 | + | 37.8079i | 0.271980 | + | 1.72748i | 0.615323 | + | 0.788275i | \(0.289025\pi\) |
−0.343343 | + | 0.939210i | \(0.611559\pi\) | |||||||
\(480\) | 0.00865692 | + | 0.0244821i | 0.000395132 | + | 0.00111745i | ||||
\(481\) | 4.26490 | + | 6.27312i | 0.194462 | + | 0.286030i | ||||
\(482\) | −6.83162 | − | 13.4996i | −0.311172 | − | 0.614892i | ||||
\(483\) | −0.432900 | + | 0.300166i | −0.0196976 | + | 0.0136580i | ||||
\(484\) | 1.08556 | + | 5.06144i | 0.0493439 | + | 0.230065i | ||||
\(485\) | −0.0323894 | − | 0.704699i | −0.00147073 | − | 0.0319987i | ||||
\(486\) | −0.154163 | − | 5.59274i | −0.00699297 | − | 0.253692i | ||||
\(487\) | 2.67143 | − | 13.6762i | 0.121054 | − | 0.619729i | −0.870725 | − | 0.491770i | \(-0.836350\pi\) |
0.991779 | − | 0.127960i | \(-0.0408428\pi\) | |||||||
\(488\) | −11.6741 | + | 4.24903i | −0.528462 | + | 0.192345i | ||||
\(489\) | 1.86269 | + | 2.34835i | 0.0842336 | + | 0.106196i | ||||
\(490\) | 0.562554 | − | 0.360205i | 0.0254136 | − | 0.0162724i | ||||
\(491\) | −17.5583 | − | 0.322616i | −0.792397 | − | 0.0145595i | −0.379331 | − | 0.925261i | \(-0.623846\pi\) |
−0.413065 | + | 0.910701i | \(0.635542\pi\) | |||||||
\(492\) | 0.0133657 | − | 0.290798i | 0.000602570 | − | 0.0131102i | ||||
\(493\) | 11.9944 | − | 2.00150i | 0.540198 | − | 0.0901432i | ||||
\(494\) | −2.07535 | + | 15.2945i | −0.0933743 | + | 0.688132i | ||||
\(495\) | 1.44015 | + | 0.240319i | 0.0647299 | + | 0.0108015i | ||||
\(496\) | −0.538265 | + | 2.50966i | −0.0241688 | + | 0.112687i | ||||
\(497\) | 16.2573 | + | 38.9950i | 0.729239 | + | 1.74917i | ||||
\(498\) | 1.06361 | + | 2.00925i | 0.0476615 | + | 0.0900368i | ||||
\(499\) | −21.0437 | + | 27.5555i | −0.942047 | + | 1.23355i | 0.0301873 | + | 0.999544i | \(0.490390\pi\) |
−0.972234 | + | 0.234010i | \(0.924815\pi\) | |||||||
\(500\) | 0.279196 | − | 1.19431i | 0.0124860 | − | 0.0534110i | ||||
\(501\) | −0.0443229 | + | 0.0538183i | −0.00198020 | + | 0.00240443i | ||||
\(502\) | −0.145368 | + | 0.141417i | −0.00648811 | + | 0.00631173i | ||||
\(503\) | −12.1971 | − | 14.2677i | −0.543844 | − | 0.636167i | 0.418431 | − | 0.908249i | \(-0.362580\pi\) |
−0.962274 | + | 0.272082i | \(0.912288\pi\) | |||||||
\(504\) | 4.53455 | − | 9.38458i | 0.201985 | − | 0.418022i | ||||
\(505\) | 0.183862 | − | 1.32592i | 0.00818175 | − | 0.0590025i | ||||
\(506\) | −2.33533 | − | 1.61928i | −0.103818 | − | 0.0719858i | ||||
\(507\) | −0.0375533 | + | 0.0900761i | −0.00166780 | + | 0.00400042i | ||||
\(508\) | −1.31805 | + | 0.121417i | −0.0584790 | + | 0.00538701i | ||||
\(509\) | −12.6643 | + | 3.08352i | −0.561333 | + | 0.136674i | −0.507152 | − | 0.861857i | \(-0.669302\pi\) |
−0.0541814 | + | 0.998531i | \(0.517255\pi\) | |||||||
\(510\) | 0.00356951 | + | 0.0554354i | 0.000158061 | + | 0.00245472i | ||||
\(511\) | 15.7738 | − | 18.4516i | 0.697793 | − | 0.816251i | ||||
\(512\) | 0.401695 | + | 0.915773i | 0.0177526 | + | 0.0404718i | ||||
\(513\) | −5.19550 | − | 1.76667i | −0.229387 | − | 0.0780005i | ||||
\(514\) | −11.1968 | + | 25.5262i | −0.493871 | + | 1.12591i | ||||
\(515\) | −0.808308 | − | 1.67285i | −0.0356183 | − | 0.0737146i | ||||
\(516\) | 1.86141 | − | 0.601029i | 0.0819439 | − | 0.0264588i | ||||
\(517\) | −11.8453 | − | 11.1071i | −0.520956 | − | 0.488490i | ||||
\(518\) | −7.53482 | − | 0.554714i | −0.331061 | − | 0.0243727i | ||||
\(519\) | 4.34811 | − | 2.45741i | 0.190861 | − | 0.107868i | ||||
\(520\) | 0.418545 | + | 0.118353i | 0.0183544 | + | 0.00519013i | ||||
\(521\) | 19.2371 | − | 26.1730i | 0.842793 | − | 1.14666i | −0.144774 | − | 0.989465i | \(-0.546246\pi\) |
0.987567 | − | 0.157197i | \(-0.0502457\pi\) | |||||||
\(522\) | 15.6779 | + | 6.03471i | 0.686203 | + | 0.264132i | ||||
\(523\) | −20.6681 | + | 14.9005i | −0.903753 | + | 0.651555i | −0.937541 | − | 0.347874i | \(-0.886904\pi\) |
0.0337879 | + | 0.999429i | \(0.489243\pi\) | |||||||
\(524\) | −0.173906 | + | 0.556009i | −0.00759713 | + | 0.0242894i | ||||
\(525\) | 3.16620 | − | 1.94626i | 0.138184 | − | 0.0849416i | ||||
\(526\) | −1.58786 | − | 3.44641i | −0.0692339 | − | 0.150271i | ||||
\(527\) | −2.56886 | + | 4.85281i | −0.111901 | + | 0.211392i | ||||
\(528\) | −0.846669 | − | 0.0779941i | −0.0368465 | − | 0.00339426i | ||||
\(529\) | −22.2582 | + | 3.29516i | −0.967747 | + | 0.143268i | ||||
\(530\) | −0.833717 | + | 0.170818i | −0.0362144 | + | 0.00741987i | ||||
\(531\) | −6.82655 | + | 5.31332i | −0.296247 | + | 0.230578i | ||||
\(532\) | −10.6502 | − | 11.0859i | −0.461743 | − | 0.480635i | ||||
\(533\) | −3.84785 | − | 2.99490i | −0.166669 | − | 0.129724i | ||||
\(534\) | −2.39120 | − | 1.18262i | −0.103477 | − | 0.0511771i | ||||
\(535\) | −0.0793320 | − | 0.339355i | −0.00342982 | − | 0.0146716i | ||||
\(536\) | −6.94950 | − | 3.12476i | −0.300173 | − | 0.134969i | ||||
\(537\) | −1.94622 | − | 3.51869i | −0.0839855 | − | 0.151843i | ||||
\(538\) | 26.0126 | + | 8.39919i | 1.12148 | + | 0.362115i | ||||
\(539\) | 3.00420 | + | 21.6647i | 0.129400 | + | 0.933165i | ||||
\(540\) | −0.0698274 | + | 0.137983i | −0.00300489 | + | 0.00593783i | ||||
\(541\) | −13.1419 | + | 1.69947i | −0.565014 | + | 0.0730658i | −0.405442 | − | 0.914121i | \(-0.632883\pi\) |
−0.159571 | + | 0.987186i | \(0.551011\pi\) | |||||||
\(542\) | 18.8083 | − | 2.43223i | 0.807887 | − | 0.104473i | ||||
\(543\) | −0.585543 | + | 1.15706i | −0.0251281 | + | 0.0496544i | ||||
\(544\) | 0.293829 | + | 2.11894i | 0.0125978 | + | 0.0908488i | ||||
\(545\) | −1.01536 | − | 0.327849i | −0.0434932 | − | 0.0140435i | ||||
\(546\) | 1.27777 | + | 2.31017i | 0.0546836 | + | 0.0988660i | ||||
\(547\) | 29.5260 | + | 13.2760i | 1.26244 | + | 0.567642i | 0.927227 | − | 0.374500i | \(-0.122186\pi\) |
0.335214 | + | 0.942142i | \(0.391192\pi\) | |||||||
\(548\) | −2.11472 | − | 9.04603i | −0.0903362 | − | 0.386427i | ||||
\(549\) | −32.9098 | − | 16.2763i | −1.40456 | − | 0.694657i | ||||
\(550\) | 15.8218 | + | 12.3146i | 0.674642 | + | 0.525095i | ||||
\(551\) | 16.3896 | − | 18.5828i | 0.698222 | − | 0.791654i | ||||
\(552\) | 0.117872 | − | 0.0917435i | 0.00501697 | − | 0.00390486i | ||||
\(553\) | −13.4655 | + | 2.75892i | −0.572612 | + | 0.117321i | ||||
\(554\) | −15.0958 | + | 2.23481i | −0.641357 | + | 0.0949482i | ||||
\(555\) | 0.0553945 | + | 0.00510287i | 0.00235137 | + | 0.000216605i | ||||
\(556\) | 6.07735 | − | 11.4807i | 0.257737 | − | 0.486889i | ||||
\(557\) | 13.9788 | + | 30.3406i | 0.592300 | + | 1.28557i | 0.937807 | + | 0.347158i | \(0.112853\pi\) |
−0.345507 | + | 0.938416i | \(0.612293\pi\) | |||||||
\(558\) | −6.46223 | + | 3.97232i | −0.273568 | + | 0.168162i | ||||
\(559\) | 9.78041 | − | 31.2697i | 0.413667 | − | 1.32257i | ||||
\(560\) | −0.351411 | + | 0.253347i | −0.0148498 | + | 0.0107059i | ||||
\(561\) | −1.69747 | − | 0.653386i | −0.0716671 | − | 0.0275860i | ||||
\(562\) | 1.67302 | − | 2.27622i | 0.0705720 | − | 0.0960167i | ||||
\(563\) | 7.85092 | + | 2.22003i | 0.330877 | + | 0.0935630i | 0.433490 | − | 0.901158i | \(-0.357282\pi\) |
−0.102613 | + | 0.994721i | \(0.532720\pi\) | |||||||
\(564\) | 0.743036 | − | 0.419939i | 0.0312875 | − | 0.0176826i | ||||
\(565\) | 0.0846943 | + | 0.00623521i | 0.00356312 | + | 0.000262317i | ||||
\(566\) | −12.1336 | − | 11.3775i | −0.510014 | − | 0.478231i | ||||
\(567\) | 28.8622 | − | 9.31930i | 1.21210 | − | 0.391374i | ||||
\(568\) | −5.21178 | − | 10.7861i | −0.218682 | − | 0.452577i | ||||
\(569\) | 5.01489 | − | 11.4328i | 0.210235 | − | 0.479288i | −0.778744 | − | 0.627342i | \(-0.784143\pi\) |
0.988979 | + | 0.148054i | \(0.0473008\pi\) | |||||||
\(570\) | 0.0769045 | + | 0.0830524i | 0.00322117 | + | 0.00347868i | ||||
\(571\) | −17.1253 | − | 39.0418i | −0.716672 | − | 1.63385i | −0.772191 | − | 0.635390i | \(-0.780839\pi\) |
0.0555189 | − | 0.998458i | \(-0.482319\pi\) | |||||||
\(572\) | −9.25425 | + | 10.8253i | −0.386940 | + | 0.452627i | ||||
\(573\) | −0.00817432 | − | 0.126949i | −0.000341487 | − | 0.00530339i | ||||
\(574\) | 4.71861 | − | 1.14890i | 0.196951 | − | 0.0479540i | ||||
\(575\) | −3.50730 | + | 0.323088i | −0.146265 | + | 0.0134737i | ||||
\(576\) | −1.13722 | + | 2.72775i | −0.0473840 | + | 0.113656i | ||||
\(577\) | −12.2620 | − | 8.50229i | −0.510474 | − | 0.353955i | 0.286390 | − | 0.958113i | \(-0.407545\pi\) |
−0.796865 | + | 0.604158i | \(0.793510\pi\) | |||||||
\(578\) | 1.70645 | − | 12.3060i | 0.0709789 | − | 0.511863i | ||||
\(579\) | −1.49948 | + | 3.10328i | −0.0623163 | + | 0.128968i | ||||
\(580\) | −0.453722 | − | 0.530747i | −0.0188398 | − | 0.0220381i | ||||
\(581\) | −27.1854 | + | 26.4463i | −1.12784 | + | 1.09718i | ||||
\(582\) | −0.771809 | + | 0.937156i | −0.0319925 | + | 0.0388464i | ||||
\(583\) | 6.34315 | − | 27.1338i | 0.262706 | − | 1.12377i | ||||
\(584\) | −4.17760 | + | 5.47032i | −0.172870 | + | 0.226363i | ||||
\(585\) | 0.601388 | + | 1.13608i | 0.0248643 | + | 0.0469710i | ||||
\(586\) | 2.84285 | + | 6.81892i | 0.117437 | + | 0.281687i | ||||
\(587\) | −5.57793 | + | 26.0071i | −0.230226 | + | 1.07343i | 0.702176 | + | 0.712003i | \(0.252212\pi\) |
−0.932402 | + | 0.361423i | \(0.882291\pi\) | |||||||
\(588\) | −1.13393 | − | 0.189220i | −0.0467626 | − | 0.00780330i | ||||
\(589\) | 2.17694 | + | 10.9743i | 0.0896994 | + | 0.452188i | ||||
\(590\) | 0.354655 | − | 0.0591814i | 0.0146009 | − | 0.00243646i | ||||
\(591\) | 0.0614535 | − | 1.33705i | 0.00252786 | − | 0.0549989i | ||||
\(592\) | 2.14189 | + | 0.0393549i | 0.0880310 | + | 0.00161748i | ||||
\(593\) | 35.0925 | − | 22.4699i | 1.44108 | − | 0.922727i | 0.441401 | − | 0.897310i | \(-0.354482\pi\) |
0.999677 | − | 0.0254172i | \(-0.00809143\pi\) | |||||||
\(594\) | −3.14666 | − | 3.96710i | −0.129109 | − | 0.162772i | ||||
\(595\) | −0.870849 | + | 0.316963i | −0.0357013 | + | 0.0129942i | ||||
\(596\) | −0.720722 | + | 3.68969i | −0.0295219 | + | 0.151136i | ||||
\(597\) | 0.127862 | + | 4.63861i | 0.00523306 | + | 0.189846i | ||||
\(598\) | −0.114871 | − | 2.49927i | −0.00469744 | − | 0.102203i | ||||
\(599\) | 3.97595 | + | 18.5378i | 0.162453 | + | 0.757435i | 0.982667 | + | 0.185379i | \(0.0593512\pi\) |
−0.820214 | + | 0.572056i | \(0.806146\pi\) | |||||||
\(600\) | −0.866000 | + | 0.600471i | −0.0353543 | + | 0.0245141i | ||||
\(601\) | 1.36349 | + | 2.69433i | 0.0556178 | + | 0.109904i | 0.918369 | − | 0.395724i | \(-0.129506\pi\) |
−0.862752 | + | 0.505628i | \(0.831261\pi\) | |||||||
\(602\) | 18.3470 | + | 26.9862i | 0.747769 | + | 1.09987i | ||||
\(603\) | −7.50710 | − | 21.2304i | −0.305713 | − | 0.864568i | ||||
\(604\) | −3.48526 | − | 22.1367i | −0.141813 | − | 0.900728i | ||||
\(605\) | 0.564693 | − | 0.292314i | 0.0229580 | − | 0.0118843i | ||||
\(606\) | −1.76476 | + | 1.48081i | −0.0716885 | + | 0.0601538i | ||||
\(607\) | −2.00925 | − | 24.2481i | −0.0815531 | − | 0.984200i | −0.907390 | − | 0.420290i | \(-0.861928\pi\) |
0.825837 | − | 0.563909i | \(-0.190703\pi\) | |||||||
\(608\) | 3.18839 | + | 2.97224i | 0.129306 | + | 0.120540i | ||||
\(609\) | 0.349978 | − | 4.22360i | 0.0141818 | − | 0.171149i | ||||
\(610\) | 0.881029 | + | 1.24602i | 0.0356718 | + | 0.0504499i | ||||
\(611\) | 1.44209 | − | 14.2231i | 0.0583407 | − | 0.575405i | ||||
\(612\) | −3.92874 | + | 4.95310i | −0.158810 | + | 0.200217i | ||||
\(613\) | 7.50144 | − | 22.5225i | 0.302980 | − | 0.909677i | −0.681137 | − | 0.732156i | \(-0.738514\pi\) |
0.984117 | − | 0.177520i | \(-0.0568076\pi\) | |||||||
\(614\) | 19.1129 | + | 9.89381i | 0.771333 | + | 0.399282i | ||||
\(615\) | −0.0348927 | + | 0.00781963i | −0.00140701 | + | 0.000315318i | ||||
\(616\) | −2.71935 | − | 13.9216i | −0.109566 | − | 0.560916i | ||||
\(617\) | 7.65006 | + | 12.7054i | 0.307980 | + | 0.511499i | 0.971618 | − | 0.236554i | \(-0.0760180\pi\) |
−0.663639 | + | 0.748053i | \(0.730989\pi\) | |||||||
\(618\) | −0.898260 | + | 3.06867i | −0.0361333 | + | 0.123440i | ||||
\(619\) | 18.0035 | − | 8.49605i | 0.723621 | − | 0.341485i | −0.0293227 | − | 0.999570i | \(-0.509335\pi\) |
0.752944 | + | 0.658085i | \(0.228633\pi\) | |||||||
\(620\) | 0.314809 | − | 0.0173685i | 0.0126430 | − | 0.000697535i | ||||
\(621\) | 0.879940 | + | 0.130269i | 0.0353108 | + | 0.00522750i | ||||
\(622\) | −23.9103 | − | 5.82172i | −0.958716 | − | 0.233430i | ||||
\(623\) | 7.72808 | − | 43.8281i | 0.309619 | − | 1.75594i | ||||
\(624\) | −0.397842 | − | 0.634084i | −0.0159264 | − | 0.0253837i | ||||
\(625\) | 24.7572 | − | 0.910082i | 0.990287 | − | 0.0364033i | ||||
\(626\) | −2.73893 | + | 0.940276i | −0.109470 | + | 0.0375810i | ||||
\(627\) | −3.52354 | + | 1.14909i | −0.140716 | + | 0.0458901i | ||||
\(628\) | −6.99385 | − | 2.40099i | −0.279085 | − | 0.0958101i | ||||
\(629\) | 4.38616 | + | 1.32778i | 0.174888 | + | 0.0529420i | ||||
\(630\) | −1.25874 | − | 0.233891i | −0.0501492 | − | 0.00931844i | ||||
\(631\) | −15.4627 | + | 43.7291i | −0.615559 | + | 1.74083i | 0.0544947 | + | 0.998514i | \(0.482645\pi\) |
−0.670054 | + | 0.742312i | \(0.733729\pi\) | |||||||
\(632\) | 3.76920 | − | 0.991421i | 0.149931 | − | 0.0394366i | ||||
\(633\) | 0.154489 | + | 0.566145i | 0.00614037 | + | 0.0225022i | ||||
\(634\) | 0.819660 | + | 1.11519i | 0.0325529 | + | 0.0442898i | ||||
\(635\) | 0.0570100 | + | 0.152267i | 0.00226237 | + | 0.00604253i | ||||
\(636\) | 1.26163 | + | 0.743936i | 0.0500268 | + | 0.0294990i | ||||
\(637\) | −13.5534 | + | 13.6784i | −0.537004 | + | 0.541960i | ||||
\(638\) | 22.0001 | − | 6.22105i | 0.870994 | − | 0.246294i | ||||
\(639\) | 12.4135 | − | 33.1549i | 0.491069 | − | 1.31159i | ||||
\(640\) | 0.0955325 | − | 0.0772155i | 0.00377625 | − | 0.00305221i | ||||
\(641\) | 20.9084 | − | 19.6054i | 0.825832 | − | 0.774367i | −0.150964 | − | 0.988539i | \(-0.548238\pi\) |
0.976796 | + | 0.214173i | \(0.0687055\pi\) | |||||||
\(642\) | −0.290295 | + | 0.524842i | −0.0114570 | + | 0.0207139i | ||||
\(643\) | −17.7772 | + | 13.3195i | −0.701065 | + | 0.525268i | −0.889567 | − | 0.456805i | \(-0.848994\pi\) |
0.188501 | + | 0.982073i | \(0.439637\pi\) | |||||||
\(644\) | 2.02134 | + | 1.45727i | 0.0796521 | + | 0.0574247i | ||||
\(645\) | −0.131416 | − | 0.201147i | −0.00517451 | − | 0.00792017i | ||||
\(646\) | 4.83318 | + | 7.97426i | 0.190159 | + | 0.313743i | ||||
\(647\) | 1.39443 | − | 2.13433i | 0.0548206 | − | 0.0839091i | −0.808704 | − | 0.588215i | \(-0.799831\pi\) |
0.863525 | + | 0.504306i | \(0.168252\pi\) | |||||||
\(648\) | −8.02576 | + | 3.08926i | −0.315282 | + | 0.121358i | ||||
\(649\) | −3.09927 | + | 11.3577i | −0.121657 | + | 0.445830i | ||||
\(650\) | −0.162142 | + | 17.6506i | −0.00635973 | + | 0.692314i | ||||
\(651\) | 1.41977 | + | 1.28309i | 0.0556450 | + | 0.0502884i | ||||
\(652\) | 7.53567 | − | 12.0104i | 0.295120 | − | 0.470365i | ||||
\(653\) | −18.5875 | + | 32.1945i | −0.727386 | + | 1.25987i | 0.230598 | + | 0.973049i | \(0.425932\pi\) |
−0.957984 | + | 0.286821i | \(0.907402\pi\) | |||||||
\(654\) | 0.918131 | + | 1.59025i | 0.0359018 | + | 0.0621837i | ||||
\(655\) | 0.0715125 | + | 0.00262882i | 0.00279422 | + | 0.000102717i | ||||
\(656\) | −1.31796 | + | 0.398974i | −0.0514579 | + | 0.0155773i | ||||
\(657\) | −20.2182 | + | 2.23774i | −0.788785 | + | 0.0873027i | ||||
\(658\) | 10.2061 | + | 9.92863i | 0.397874 | + | 0.387058i | ||||
\(659\) | −2.86403 | + | 44.4791i | −0.111567 | + | 1.73266i | 0.439538 | + | 0.898224i | \(0.355142\pi\) |
−0.551105 | + | 0.834436i | \(0.685794\pi\) | |||||||
\(660\) | 0.0181361 | + | 0.102855i | 0.000705948 | + | 0.00400363i | ||||
\(661\) | 16.1647 | − | 14.6086i | 0.628732 | − | 0.568208i | −0.292962 | − | 0.956124i | \(-0.594641\pi\) |
0.921695 | + | 0.387916i | \(0.126805\pi\) | |||||||
\(662\) | −5.90982 | − | 6.66132i | −0.229692 | − | 0.258899i | ||||
\(663\) | −0.449863 | − | 1.53684i | −0.0174712 | − | 0.0596859i | ||||
\(664\) | 7.28350 | − | 7.91199i | 0.282655 | − | 0.307045i | ||||
\(665\) | −0.969323 | + | 1.62056i | −0.0375887 | + | 0.0628428i | ||||
\(666\) | 4.28788 | + | 4.65787i | 0.166152 | + | 0.180489i | ||||
\(667\) | −2.07176 | + | 3.44083i | −0.0802189 | + | 0.133229i | ||||
\(668\) | 0.309913 | + | 0.112799i | 0.0119909 | + | 0.00436433i | ||||
\(669\) | −0.212854 | − | 0.639078i | −0.00822940 | − | 0.0247082i | ||||
\(670\) | −0.145569 | + | 0.924584i | −0.00562383 | + | 0.0357198i | ||||
\(671\) | −49.1258 | + | 9.12828i | −1.89648 | + | 0.352393i | ||||
\(672\) | 0.741035 | + | 0.0820177i | 0.0285860 | + | 0.00316390i | ||||
\(673\) | −30.1487 | − | 36.6075i | −1.16215 | − | 1.41112i | −0.894192 | − | 0.447684i | \(-0.852249\pi\) |
−0.267954 | − | 0.963432i | \(-0.586348\pi\) | |||||||
\(674\) | 2.85027 | − | 1.40967i | 0.109788 | − | 0.0542985i | ||||
\(675\) | −6.14806 | − | 1.25966i | −0.236639 | − | 0.0484844i | ||||
\(676\) | 0.460938 | + | 0.0254307i | 0.0177284 | + | 0.000978103i | ||||
\(677\) | 26.6176 | − | 10.8111i | 1.02300 | − | 0.415506i | 0.197736 | − | 0.980255i | \(-0.436641\pi\) |
0.825262 | + | 0.564749i | \(0.191027\pi\) | |||||||
\(678\) | −0.100946 | − | 0.105692i | −0.00387679 | − | 0.00405907i | ||||
\(679\) | −18.6221 | − | 7.96525i | −0.714651 | − | 0.305678i | ||||
\(680\) | 0.241600 | − | 0.103340i | 0.00926492 | − | 0.00396289i | ||||
\(681\) | −2.67027 | + | 2.79582i | −0.102325 | + | 0.107136i | ||||
\(682\) | −3.79678 | + | 9.59987i | −0.145386 | + | 0.367598i | ||||
\(683\) | −27.0014 | − | 14.6124i | −1.03318 | − | 0.559129i | −0.131402 | − | 0.991329i | \(-0.541948\pi\) |
−0.901778 | + | 0.432200i | \(0.857737\pi\) | |||||||
\(684\) | 0.155950 | + | 12.8810i | 0.00596291 | + | 0.492516i | ||||
\(685\) | −1.00360 | + | 0.543122i | −0.0383456 | + | 0.0207516i | ||||
\(686\) | 0.656250 | + | 5.46929i | 0.0250557 | + | 0.208818i | ||||
\(687\) | −0.292702 | + | 0.635304i | −0.0111673 | + | 0.0242383i | ||||
\(688\) | −5.61585 | − | 7.35362i | −0.214102 | − | 0.280354i | ||||
\(689\) | 22.3748 | − | 10.0606i | 0.852411 | − | 0.383277i | ||||
\(690\) | −0.0146835 | − | 0.0110015i | −0.000558992 | − | 0.000418821i | ||||
\(691\) | −0.604047 | − | 1.93125i | −0.0229790 | − | 0.0734680i | 0.942208 | − | 0.335028i | \(-0.108746\pi\) |
−0.965187 | + | 0.261560i | \(0.915763\pi\) | |||||||
\(692\) | −17.8163 | − | 15.5163i | −0.677275 | − | 0.589839i | ||||
\(693\) | 24.2019 | − | 34.2282i | 0.919353 | − | 1.30022i | ||||
\(694\) | 7.10024 | + | 5.95781i | 0.269521 | + | 0.226155i | ||||
\(695\) | −1.55702 | − | 0.348936i | −0.0590611 | − | 0.0132359i | ||||
\(696\) | −0.0331118 | + | 1.20123i | −0.00125510 | + | 0.0455326i | ||||
\(697\) | −2.94526 | + | 0.0541162i | −0.111560 | + | 0.00204980i | ||||
\(698\) | −21.3591 | + | 14.2363i | −0.808456 | + | 0.538851i | ||||
\(699\) | 1.79481 | − | 0.132134i | 0.0678861 | − | 0.00499778i | ||||
\(700\) | −13.6729 | − | 11.0513i | −0.516786 | − | 0.417699i | ||||
\(701\) | −36.9672 | + | 21.7982i | −1.39623 | + | 0.823307i | −0.995670 | − | 0.0929634i | \(-0.970366\pi\) |
−0.400561 | + | 0.916270i | \(0.631185\pi\) | |||||||
\(702\) | 1.09435 | − | 4.32149i | 0.0413036 | − | 0.163104i | ||||
\(703\) | 8.64116 | − | 3.53917i | 0.325907 | − | 0.133482i | ||||
\(704\) | 0.987345 | + | 3.89894i | 0.0372119 | + | 0.146947i | ||||
\(705\) | −0.0737917 | − | 0.0744727i | −0.00277916 | − | 0.00280480i | ||||
\(706\) | −21.8404 | − | 12.3435i | −0.821974 | − | 0.464552i | ||||
\(707\) | −31.9803 | − | 21.3155i | −1.20274 | − | 0.801650i | ||||
\(708\) | −0.521125 | − | 0.333678i | −0.0195851 | − | 0.0125404i | ||||
\(709\) | −4.59579 | − | 45.3276i | −0.172599 | − | 1.70231i | −0.601427 | − | 0.798927i | \(-0.705401\pi\) |
0.428829 | − | 0.903386i | \(-0.358926\pi\) | |||||||
\(710\) | −1.10966 | + | 0.966404i | −0.0416448 | + | 0.0362685i | ||||
\(711\) | 9.81244 | + | 6.03168i | 0.367995 | + | 0.226206i | ||||
\(712\) | −1.50335 | + | 12.5291i | −0.0563403 | + | 0.469549i | ||||
\(713\) | −0.666996 | − | 1.68645i | −0.0249792 | − | 0.0631580i | ||||
\(714\) | 1.47768 | + | 0.600181i | 0.0553007 | + | 0.0224612i | ||||
\(715\) | 1.58208 | + | 0.746603i | 0.0591665 | + | 0.0279214i | ||||
\(716\) | −12.6234 | + | 14.2286i | −0.471757 | + | 0.531746i | ||||
\(717\) | −0.00841994 | − | 0.916586i | −0.000314449 | − | 0.0342305i | ||||
\(718\) | −20.1742 | − | 5.30647i | −0.752895 | − | 0.198036i | ||||
\(719\) | −17.4414 | + | 25.6541i | −0.650454 | + | 0.956735i | 0.349352 | + | 0.936992i | \(0.386402\pi\) |
−0.999805 | + | 0.0197435i | \(0.993715\pi\) | |||||||
\(720\) | 0.360021 | + | 0.0465568i | 0.0134172 | + | 0.00173507i | ||||
\(721\) | −53.3425 | −1.98658 | ||||||||
\(722\) | 17.8918 | + | 6.39399i | 0.665864 | + | 0.237960i | ||||
\(723\) | 3.19845 | 0.118952 | ||||||||
\(724\) | 6.08362 | + | 0.786715i | 0.226096 | + | 0.0292380i | ||||
\(725\) | 15.9317 | − | 23.4335i | 0.591688 | − | 0.870299i | ||||
\(726\) | −1.05833 | − | 0.278374i | −0.0392781 | − | 0.0103314i | ||||
\(727\) | −0.170729 | − | 18.5854i | −0.00633200 | − | 0.689295i | −0.941853 | − | 0.336024i | \(-0.890918\pi\) |
0.935521 | − | 0.353270i | \(-0.114930\pi\) | |||||||
\(728\) | 8.28776 | − | 9.34164i | 0.307165 | − | 0.346224i | ||||
\(729\) | −22.2622 | − | 10.5058i | −0.824526 | − | 0.389103i | ||||
\(730\) | 0.783341 | + | 0.318166i | 0.0289927 | + | 0.0117758i | ||||
\(731\) | −7.27975 | − | 18.4063i | −0.269251 | − | 0.680782i | ||||
\(732\) | 0.312880 | − | 2.60759i | 0.0115644 | − | 0.0963794i | ||||
\(733\) | −32.8673 | − | 20.2035i | −1.21398 | − | 0.746233i | −0.239544 | − | 0.970885i | \(-0.576998\pi\) |
−0.974439 | + | 0.224653i | \(0.927875\pi\) | |||||||
\(734\) | 0.882305 | − | 0.768400i | 0.0325665 | − | 0.0283622i | ||||
\(735\) | 0.0142447 | + | 0.140494i | 0.000525425 | + | 0.00518219i | ||||
\(736\) | −0.595036 | − | 0.381003i | −0.0219333 | − | 0.0140440i | ||||
\(737\) | −25.5011 | − | 16.9970i | −0.939346 | − | 0.626092i | ||||
\(738\) | −3.54288 | − | 2.00231i | −0.130415 | − | 0.0737062i | ||||
\(739\) | 33.2738 | + | 33.5809i | 1.22400 | + | 1.23529i | 0.962863 | + | 0.269989i | \(0.0870200\pi\) |
0.261133 | + | 0.965303i | \(0.415904\pi\) | |||||||
\(740\) | −0.0645984 | − | 0.255093i | −0.00237468 | − | 0.00937741i | ||||
\(741\) | −2.68679 | − | 1.85138i | −0.0987018 | − | 0.0680123i | ||||
\(742\) | −5.99825 | + | 23.6866i | −0.220203 | + | 0.869561i | ||||
\(743\) | 42.5499 | − | 25.0901i | 1.56100 | − | 0.920468i | 0.565603 | − | 0.824677i | \(-0.308643\pi\) |
0.995402 | − | 0.0957906i | \(-0.0305379\pi\) | |||||||
\(744\) | −0.421999 | − | 0.341087i | −0.0154712 | − | 0.0125049i | ||||
\(745\) | 0.460547 | − | 0.0339055i | 0.0168731 | − | 0.00124220i | ||||
\(746\) | 21.9548 | − | 14.6333i | 0.803822 | − | 0.535762i | ||||
\(747\) | 31.7761 | − | 0.583853i | 1.16263 | − | 0.0213620i | ||||
\(748\) | −0.237076 | + | 8.60067i | −0.00866835 | + | 0.314472i | ||||
\(749\) | −9.76380 | − | 2.18812i | −0.356761 | − | 0.0799521i | ||||
\(750\) | 0.198623 | + | 0.166665i | 0.00725269 | + | 0.00608573i | ||||
\(751\) | 4.05409 | − | 5.73361i | 0.147936 | − | 0.209223i | −0.735812 | − | 0.677186i | \(-0.763199\pi\) |
0.883748 | + | 0.467963i | \(0.155012\pi\) | |||||||
\(752\) | −3.04458 | − | 2.65153i | −0.111024 | − | 0.0966913i | ||||
\(753\) | −0.0127984 | − | 0.0409186i | −0.000466398 | − | 0.00149116i | ||||
\(754\) | 16.1085 | + | 12.0692i | 0.586636 | + | 0.439533i | ||||
\(755\) | −2.51056 | + | 1.12885i | −0.0913688 | + | 0.0410829i | ||||
\(756\) | 2.69483 | + | 3.52872i | 0.0980100 | + | 0.128338i | ||||
\(757\) | 7.26255 | − | 15.7632i | 0.263962 | − | 0.572924i | −0.729900 | − | 0.683554i | \(-0.760433\pi\) |
0.993862 | + | 0.110631i | \(0.0352870\pi\) | |||||||
\(758\) | −4.41272 | − | 36.7763i | −0.160277 | − | 1.33578i | ||||
\(759\) | 0.528351 | − | 0.285929i | 0.0191779 | − | 0.0103786i | ||||
\(760\) | 0.249117 | − | 0.473947i | 0.00903643 | − | 0.0171919i | ||||
\(761\) | −45.9420 | − | 24.8626i | −1.66540 | − | 0.901268i | −0.985849 | − | 0.167638i | \(-0.946386\pi\) |
−0.679549 | − | 0.733630i | \(-0.737824\pi\) | |||||||
\(762\) | 0.102911 | − | 0.260204i | 0.00372809 | − | 0.00942620i | ||||
\(763\) | −21.1585 | + | 22.1533i | −0.765989 | + | 0.802004i | ||||
\(764\) | −0.553273 | + | 0.236652i | −0.0200167 | + | 0.00856177i | ||||
\(765\) | 0.714002 | + | 0.305401i | 0.0258148 | + | 0.0110418i | ||||
\(766\) | −16.1959 | − | 16.9574i | −0.585183 | − | 0.612697i | ||||
\(767\) | −9.60300 | + | 3.90040i | −0.346744 | + | 0.140835i | ||||
\(768\) | −0.211079 | − | 0.0116456i | −0.00761667 | − | 0.000420223i | ||||
\(769\) | 3.94735 | + | 0.808763i | 0.142345 | + | 0.0291648i | 0.271360 | − | 0.962478i | \(-0.412527\pi\) |
−0.129015 | + | 0.991643i | \(0.541182\pi\) | |||||||
\(770\) | −1.56182 | + | 0.772433i | −0.0562840 | + | 0.0278366i | ||||
\(771\) | −3.74604 | − | 4.54857i | −0.134910 | − | 0.163813i | ||||
\(772\) | 16.2045 | + | 1.79352i | 0.583213 | + | 0.0645500i | ||||
\(773\) | −28.1758 | + | 5.23546i | −1.01341 | + | 0.188306i | −0.663262 | − | 0.748387i | \(-0.730829\pi\) |
−0.350150 | + | 0.936693i | \(0.613870\pi\) | |||||||
\(774\) | 4.25285 | − | 27.0120i | 0.152866 | − | 0.970926i | ||||
\(775\) | 4.04317 | + | 12.1393i | 0.145235 | + | 0.436057i | ||||
\(776\) | 5.39662 | + | 1.96421i | 0.193727 | + | 0.0705110i | ||||
\(777\) | 0.823863 | − | 1.36829i | 0.0295559 | − | 0.0490871i | ||||
\(778\) | 20.7507 | + | 22.5412i | 0.743947 | + | 0.808142i | ||||
\(779\) | −4.58677 | + | 3.87164i | −0.164338 | + | 0.138716i | ||||
\(780\) | −0.0622761 | + | 0.0676499i | −0.00222984 | + | 0.00242225i | ||||
\(781\) | −13.5355 | − | 46.2405i | −0.484338 | − | 1.65462i | ||||
\(782\) | −1.00310 | − | 1.13066i | −0.0358709 | − | 0.0404322i | ||||
\(783\) | −5.30946 | + | 4.79835i | −0.189745 | + | 0.171479i | ||||
\(784\) | 0.944313 | + | 5.35547i | 0.0337255 | + | 0.191267i | ||||
\(785\) | −0.0583657 | + | 0.906435i | −0.00208316 | + | 0.0323521i | ||||
\(786\) | −0.0882760 | − | 0.0858762i | −0.00314870 | − | 0.00306310i | ||||
\(787\) | −12.0917 | + | 1.33831i | −0.431022 | + | 0.0477056i | −0.322902 | − | 0.946432i | \(-0.604659\pi\) |
−0.108120 | + | 0.994138i | \(0.534483\pi\) | |||||||
\(788\) | −6.05983 | + | 1.83443i | −0.215873 | + | 0.0653489i | ||||
\(789\) | 0.801640 | + | 0.0294685i | 0.0285391 | + | 0.00104911i | ||||
\(790\) | −0.239371 | − | 0.414602i | −0.00851643 | − | 0.0147509i | ||||
\(791\) | 1.21913 | − | 2.11159i | 0.0433472 | − | 0.0750795i | ||||
\(792\) | −6.31728 | + | 10.0685i | −0.224475 | + | 0.357770i | ||||
\(793\) | −32.6371 | − | 29.4954i | −1.15898 | − | 1.04741i | ||||
\(794\) | −0.0274441 | + | 2.98754i | −0.000973955 | + | 0.106024i | ||||
\(795\) | 0.0473617 | − | 0.173563i | 0.00167975 | − | 0.00615566i | ||||
\(796\) | 20.4855 | − | 7.88523i | 0.726088 | − | 0.279485i | ||||
\(797\) | −1.11498 | + | 1.70660i | −0.0394946 | + | 0.0604509i | −0.856368 | − | 0.516366i | \(-0.827284\pi\) |
0.816873 | + | 0.576817i | \(0.195705\pi\) | |||||||
\(798\) | 3.10766 | − | 0.950667i | 0.110010 | − | 0.0336533i | ||||
\(799\) | −4.72384 | − | 7.23038i | −0.167117 | − | 0.255792i | ||||
\(800\) | 4.04362 | + | 2.91522i | 0.142963 | + | 0.103069i | ||||
\(801\) | −29.8453 | + | 22.3614i | −1.05453 | + | 0.790100i | ||||
\(802\) | 5.01611 | − | 9.06894i | 0.177125 | − | 0.320235i | ||||
\(803\) | −20.1945 | + | 18.9360i | −0.712649 | + | 0.668237i | ||||
\(804\) | 1.25276 | − | 1.01256i | 0.0441815 | − | 0.0357103i | ||||
\(805\) | 0.107328 | − | 0.286660i | 0.00378280 | − | 0.0101034i | ||||
\(806\) | −8.74575 | + | 2.47306i | −0.308056 | + | 0.0871099i | ||||
\(807\) | −4.06729 | + | 4.10483i | −0.143175 | + | 0.144497i | ||||
\(808\) | 9.38705 | + | 5.53520i | 0.330235 | + | 0.194728i | ||||
\(809\) | −4.31841 | − | 11.5340i | −0.151827 | − | 0.405513i | 0.838386 | − | 0.545078i | \(-0.183500\pi\) |
−0.990213 | + | 0.139565i | \(0.955430\pi\) | |||||||
\(810\) | 0.625616 | + | 0.851181i | 0.0219819 | + | 0.0299075i | ||||
\(811\) | −7.48341 | − | 27.4240i | −0.262778 | − | 0.962987i | −0.967369 | − | 0.253373i | \(-0.918460\pi\) |
0.704591 | − | 0.709614i | \(-0.251131\pi\) | |||||||
\(812\) | −19.3882 | + | 5.09971i | −0.680391 | + | 0.178965i | ||||
\(813\) | −1.33656 | + | 3.77985i | −0.0468752 | + | 0.132565i | ||||
\(814\) | 8.47114 | + | 1.57406i | 0.296913 | + | 0.0551707i | ||||
\(815\) | −1.66696 | − | 0.504621i | −0.0583909 | − | 0.0176761i | ||||
\(816\) | −0.427728 | − | 0.146839i | −0.0149735 | − | 0.00514040i | ||||
\(817\) | −35.1699 | − | 19.7416i | −1.23044 | − | 0.690670i | ||||
\(818\) | −0.190355 | + | 0.0653490i | −0.00665561 | + | 0.00228487i | ||||
\(819\) | 36.8814 | − | 1.35577i | 1.28874 | − | 0.0473745i | ||||
\(820\) | 0.0898986 | + | 0.143281i | 0.00313940 | + | 0.00500361i | ||||
\(821\) | 0.415016 | − | 2.35367i | 0.0144842 | − | 0.0821438i | −0.976709 | − | 0.214569i | \(-0.931165\pi\) |
0.991193 | + | 0.132425i | \(0.0422764\pi\) | |||||||
\(822\) | 1.90815 | + | 0.464599i | 0.0665543 | + | 0.0162048i | ||||
\(823\) | 26.3688 | + | 3.90371i | 0.919159 | + | 0.136075i | 0.589262 | − | 0.807942i | \(-0.299419\pi\) |
0.329897 | + | 0.944017i | \(0.392986\pi\) | |||||||
\(824\) | 15.1021 | − | 0.833204i | 0.526106 | − | 0.0290261i | ||||
\(825\) | −3.83306 | + | 1.80887i | −0.133450 | + | 0.0629767i | ||||
\(826\) | 2.90015 | − | 9.90761i | 0.100909 | − | 0.344730i | ||||
\(827\) | 15.8377 | + | 26.3036i | 0.550732 | + | 0.914668i | 0.999776 | + | 0.0211580i | \(0.00673530\pi\) |
−0.449044 | + | 0.893510i | \(0.648235\pi\) | |||||||
\(828\) | −0.400313 | − | 2.04938i | −0.0139118 | − | 0.0712209i | ||||
\(829\) | 5.68242 | − | 1.27346i | 0.197359 | − | 0.0442291i | −0.118881 | − | 0.992909i | \(-0.537931\pi\) |
0.316239 | + | 0.948679i | \(0.397580\pi\) | |||||||
\(830\) | −1.17312 | − | 0.607269i | −0.0407197 | − | 0.0210786i | ||||
\(831\) | 1.01942 | − | 3.06073i | 0.0353632 | − | 0.106175i | ||||
\(832\) | −2.20048 | + | 2.77421i | −0.0762878 | + | 0.0961786i | ||||
\(833\) | −1.17348 | + | 11.5739i | −0.0406588 | + | 0.401011i | ||||
\(834\) | 1.58541 | + | 2.24221i | 0.0548982 | + | 0.0776413i | ||||
\(835\) | 0.00334543 | − | 0.0403733i | 0.000115773 | − | 0.00139718i | ||||
\(836\) | 10.6812 | + | 13.9020i | 0.369417 | + | 0.480812i | ||||
\(837\) | −0.266847 | − | 3.22036i | −0.00922358 | − | 0.111312i | ||||
\(838\) | −12.4942 | + | 10.4839i | −0.431606 | + | 0.362161i | ||||
\(839\) | −27.6990 | + | 14.3384i | −0.956275 | + | 0.495017i | −0.865530 | − | 0.500857i | \(-0.833018\pi\) |
−0.0907447 | + | 0.995874i | \(0.528925\pi\) | |||||||
\(840\) | −0.0142434 | − | 0.0904672i | −0.000491445 | − | 0.00312142i | ||||
\(841\) | −1.10436 | − | 3.12317i | −0.0380813 | − | 0.107695i | ||||
\(842\) | 21.9327 | + | 32.2603i | 0.755851 | + | 1.11176i | ||||
\(843\) | 0.269651 | + | 0.532845i | 0.00928728 | + | 0.0183522i | ||||
\(844\) | 2.28125 | − | 1.58178i | 0.0785237 | − | 0.0544471i | ||||
\(845\) | −0.0118917 | − | 0.0554450i | −0.000409087 | − | 0.00190737i | ||||
\(846\) | −0.547821 | − | 11.9190i | −0.0188345 | − | 0.409783i | ||||
\(847\) | −0.503045 | − | 18.2495i | −0.0172848 | − | 0.627061i | ||||
\(848\) | 1.32822 | − | 6.79972i | 0.0456111 | − | 0.233503i | ||||
\(849\) | 3.30426 | − | 1.20265i | 0.113402 | − | 0.0412749i | ||||
\(850\) | 6.62686 | + | 8.35471i | 0.227300 | + | 0.286564i | ||||
\(851\) | −1.27471 | + | 0.816204i | −0.0436966 | + | 0.0279791i | ||||
\(852\) | 2.53200 | + | 0.0465229i | 0.0867450 | + | 0.00159385i | ||||
\(853\) | −2.06047 | + | 44.8299i | −0.0705493 | + | 1.53495i | 0.604160 | + | 0.796863i | \(0.293509\pi\) |
−0.674710 | + | 0.738083i | \(0.735731\pi\) | |||||||
\(854\) | 43.2166 | − | 7.21158i | 1.47884 | − | 0.246775i | ||||
\(855\) | 1.52139 | − | 0.435011i | 0.0520305 | − | 0.0148771i | ||||
\(856\) | 2.79846 | + | 0.466980i | 0.0956493 | + | 0.0159610i | ||||
\(857\) | 9.15460 | − | 42.6833i | 0.312715 | − | 1.45803i | −0.495223 | − | 0.868766i | \(-0.664914\pi\) |
0.807939 | − | 0.589267i | \(-0.200583\pi\) | |||||||
\(858\) | −1.15853 | − | 2.77888i | −0.0395517 | − | 0.0948694i | ||||
\(859\) | 0.573865 | + | 1.08408i | 0.0195800 | + | 0.0369884i | 0.893405 | − | 0.449252i | \(-0.148309\pi\) |
−0.873825 | + | 0.486240i | \(0.838368\pi\) | |||||||
\(860\) | −0.689828 | + | 0.903289i | −0.0235229 | + | 0.0308019i | ||||
\(861\) | −0.233704 | + | 0.999705i | −0.00796460 | + | 0.0340698i | ||||
\(862\) | −5.09441 | + | 6.18580i | −0.173516 | + | 0.210689i | ||||
\(863\) | −12.8918 | + | 12.5413i | −0.438841 | + | 0.426911i | −0.883243 | − | 0.468916i | \(-0.844645\pi\) |
0.444401 | + | 0.895828i | \(0.353416\pi\) | |||||||
\(864\) | −0.818065 | − | 0.956941i | −0.0278312 | − | 0.0325558i | ||||
\(865\) | −1.26260 | + | 2.61304i | −0.0429297 | + | 0.0888460i | ||||
\(866\) | −3.98463 | + | 28.7351i | −0.135403 | + | 0.976459i | ||||
\(867\) | 2.15831 | + | 1.49654i | 0.0733000 | + | 0.0508251i | ||||
\(868\) | 3.48335 | − | 8.35523i | 0.118233 | − | 0.283595i | ||||
\(869\) | 15.6093 | − | 1.43791i | 0.529509 | − | 0.0487777i | ||||
\(870\) | 0.143421 | − | 0.0349203i | 0.00486242 | − | 0.00118391i | ||||
\(871\) | −1.73373 | − | 26.9252i | −0.0587450 | − | 0.912326i | ||||
\(872\) | 5.64426 | − | 6.60243i | 0.191139 | − | 0.223587i | ||||
\(873\) | 6.81767 | + | 15.5427i | 0.230743 | + | 0.526041i | ||||
\(874\) | −3.03930 | − | 0.498050i | −0.102806 | − | 0.0168468i | ||||
\(875\) | −1.73758 | + | 3.96127i | −0.0587408 | + | 0.133915i | ||||
\(876\) | −0.633057 | − | 1.31016i | −0.0213890 | − | 0.0442661i | ||||
\(877\) | 47.0812 | − | 15.2021i | 1.58982 | − | 0.513337i | 0.625985 | − | 0.779835i | \(-0.284697\pi\) |
0.963835 | + | 0.266498i | \(0.0858666\pi\) | |||||||
\(878\) | −8.31509 | − | 7.79690i | −0.280621 | − | 0.263133i | ||||
\(879\) | −1.55757 | − | 0.114668i | −0.0525355 | − | 0.00386767i | ||||
\(880\) | 0.430109 | − | 0.243083i | 0.0144990 | − | 0.00819433i | ||||
\(881\) | 26.1838 | + | 7.40408i | 0.882156 | + | 0.249450i | 0.682912 | − | 0.730500i | \(-0.260713\pi\) |
0.199243 | + | 0.979950i | \(0.436152\pi\) | |||||||
\(882\) | −9.51794 | + | 12.9496i | −0.320486 | + | 0.436037i | ||||
\(883\) | 12.1840 | + | 4.68983i | 0.410023 | + | 0.157825i | 0.555462 | − | 0.831542i | \(-0.312541\pi\) |
−0.145439 | + | 0.989367i | \(0.546460\pi\) | |||||||
\(884\) | −6.14451 | + | 4.42984i | −0.206662 | + | 0.148992i | ||||
\(885\) | −0.0226904 | + | 0.0725452i | −0.000762728 | + | 0.00243858i | ||||
\(886\) | −5.99505 | + | 3.68514i | −0.201408 | + | 0.123805i | ||||
\(887\) | 2.89023 | + | 6.27318i | 0.0970444 | + | 0.210633i | 0.950635 | − | 0.310312i | \(-0.100434\pi\) |
−0.853590 | + | 0.520945i | \(0.825580\pi\) | |||||||
\(888\) | −0.211876 | + | 0.400252i | −0.00711008 | + | 0.0134316i | ||||
\(889\) | 4.64845 | + | 0.428209i | 0.155904 | + | 0.0143617i | ||||
\(890\) | 1.53336 | − | 0.227002i | 0.0513982 | − | 0.00760913i | ||||
\(891\) | −33.8845 | + | 6.94251i | −1.13517 | + | 0.232583i | ||||
\(892\) | −2.51447 | + | 1.95709i | −0.0841906 | + | 0.0655281i | ||||
\(893\) | −16.7627 | − | 5.35849i | −0.560942 | − | 0.179315i | ||||
\(894\) | −0.627165 | − | 0.488142i | −0.0209755 | − | 0.0163259i | ||||
\(895\) | 2.09433 | + | 1.03580i | 0.0700058 | + | 0.0346230i | ||||
\(896\) | −0.802817 | − | 3.43418i | −0.0268202 | − | 0.114728i | ||||
\(897\) | 0.482384 | + | 0.216899i | 0.0161063 | + | 0.00724203i | ||||
\(898\) | −13.6373 | − | 24.6558i | −0.455084 | − | 0.822774i | ||||
\(899\) | 13.8845 | + | 4.48318i | 0.463076 | + | 0.149522i | ||||
\(900\) | 2.02349 | + | 14.5923i | 0.0674496 | + | 0.486411i | ||||
\(901\) | 6.69216 | − | 13.2241i | 0.222948 | − | 0.440558i | ||||
\(902\) | −5.49269 | + | 0.710297i | −0.182886 | + | 0.0236503i | ||||
\(903\) | −6.84151 | + | 0.884723i | −0.227671 | + | 0.0294417i | ||||
\(904\) | −0.312171 | + | 0.616866i | −0.0103826 | + | 0.0205167i | ||||
\(905\) | −0.103497 | − | 0.746368i | −0.00344037 | − | 0.0248101i | ||||
\(906\) | 4.50816 | + | 1.45564i | 0.149774 | + | 0.0483604i | ||||
\(907\) | 10.8762 | + | 19.6638i | 0.361138 | + | 0.652925i | 0.992456 | − | 0.122600i | \(-0.0391231\pi\) |
−0.631318 | + | 0.775524i | \(0.717486\pi\) | |||||||
\(908\) | 16.6796 | + | 7.49980i | 0.553533 | + | 0.248890i | ||||
\(909\) | 7.33110 | + | 31.3599i | 0.243157 | + | 1.04014i | ||||
\(910\) | −1.37502 | − | 0.680046i | −0.0455813 | − | 0.0225433i | ||||
\(911\) | 27.9692 | + | 21.7693i | 0.926660 | + | 0.721248i | 0.960530 | − | 0.278178i | \(-0.0897304\pi\) |
−0.0338695 | + | 0.999426i | \(0.510783\pi\) | |||||||
\(912\) | −0.864977 | + | 0.317690i | −0.0286423 | + | 0.0105198i | ||||
\(913\) | 34.1325 | − | 26.5664i | 1.12962 | − | 0.879219i | ||||
\(914\) | 2.66908 | − | 0.546862i | 0.0882854 | − | 0.0180886i | ||||
\(915\) | −0.319126 | + | 0.0472442i | −0.0105500 | + | 0.00156185i | ||||
\(916\) | 3.29489 | + | 0.303521i | 0.108866 | + | 0.0100286i | ||||
\(917\) | 0.961239 | − | 1.81587i | 0.0317429 | − | 0.0599652i | ||||
\(918\) | −1.12696 | − | 2.44605i | −0.0371953 | − | 0.0807316i | ||||
\(919\) | 40.0150 | − | 24.5971i | 1.31997 | − | 0.811385i | 0.328857 | − | 0.944380i | \(-0.393337\pi\) |
0.991117 | + | 0.132995i | \(0.0424594\pi\) | |||||||
\(920\) | −0.0259085 | + | 0.0828341i | −0.000854178 | + | 0.00273096i | ||||
\(921\) | −3.69061 | + | 2.66072i | −0.121610 | + | 0.0876736i | ||||
\(922\) | −17.5705 | − | 6.76320i | −0.578653 | − | 0.222734i | ||||
\(923\) | 25.1215 | − | 34.1791i | 0.826885 | − | 1.12502i | ||||
\(924\) | 2.88550 | + | 0.815942i | 0.0949261 | + | 0.0268425i | ||||
\(925\) | 9.29687 | − | 5.25428i | 0.305679 | − | 0.172760i | ||||
\(926\) | −15.2767 | − | 1.12468i | −0.502025 | − | 0.0369591i | ||||
\(927\) | 32.6068 | + | 30.5747i | 1.07095 | + | 1.00421i | ||||
\(928\) | 5.40943 | − | 1.74665i | 0.177573 | − | 0.0573365i | ||||
\(929\) | 22.1973 | + | 45.9389i | 0.728270 | + | 1.50720i | 0.856883 | + | 0.515510i | \(0.172398\pi\) |
−0.128614 | + | 0.991695i | \(0.541053\pi\) | |||||||
\(930\) | −0.0267737 | + | 0.0610380i | −0.000877946 | + | 0.00200151i | ||||
\(931\) | 13.0228 | + | 19.8063i | 0.426805 | + | 0.649125i | ||||
\(932\) | −3.41967 | − | 7.79607i | −0.112015 | − | 0.255369i | ||||
\(933\) | 3.38045 | − | 3.95432i | 0.110671 | − | 0.129459i | ||||
\(934\) | 1.84500 | + | 28.6533i | 0.0603701 | + | 0.937564i | ||||
\(935\) | 1.02687 | − | 0.250025i | 0.0335824 | − | 0.00817669i | ||||
\(936\) | −10.4205 | + | 0.959923i | −0.340605 | + | 0.0313761i | ||||
\(937\) | 6.94385 | − | 16.6557i | 0.226846 | − | 0.544117i | −0.768569 | − | 0.639767i | \(-0.779031\pi\) |
0.995415 | + | 0.0956501i | \(0.0304930\pi\) | |||||||
\(938\) | 22.0835 | + | 15.3124i | 0.721053 | + | 0.499967i | ||||
\(939\) | 0.0840852 | − | 0.606378i | 0.00274402 | − | 0.0197884i | ||||
\(940\) | −0.215762 | + | 0.446535i | −0.00703739 | + | 0.0145644i | ||||
\(941\) | −13.2557 | − | 15.5060i | −0.432123 | − | 0.505481i | 0.500797 | − | 0.865565i | \(-0.333040\pi\) |
−0.932920 | + | 0.360084i | \(0.882748\pi\) | |||||||
\(942\) | 1.12048 | − | 1.09002i | 0.0365071 | − | 0.0355146i | ||||
\(943\) | 0.618532 | − | 0.751042i | 0.0201422 | − | 0.0244573i | ||||
\(944\) | −0.666321 | + | 2.85030i | −0.0216869 | + | 0.0927692i | ||||
\(945\) | 0.331022 | − | 0.433454i | 0.0107681 | − | 0.0141003i | ||||
\(946\) | −17.4108 | − | 32.8906i | −0.566074 | − | 1.06937i | ||||
\(947\) | 9.08756 | + | 21.7976i | 0.295306 | + | 0.708326i | 0.999999 | − | 0.00118577i | \(-0.000377443\pi\) |
−0.704693 | + | 0.709512i | \(0.748915\pi\) | |||||||
\(948\) | −0.172781 | + | 0.805592i | −0.00561168 | + | 0.0261644i | ||||
\(949\) | −24.0402 | − | 4.01161i | −0.780379 | − | 0.130222i | ||||
\(950\) | 21.2166 | + | 4.68972i | 0.688357 | + | 0.152155i | ||||
\(951\) | −0.288590 | + | 0.0481572i | −0.00935817 | + | 0.00156160i | ||||
\(952\) | 0.346395 | − | 7.53655i | 0.0112267 | − | 0.244261i | ||||
\(953\) | −18.8027 | − | 0.345480i | −0.609080 | − | 0.0111912i | −0.287042 | − | 0.957918i | \(-0.592672\pi\) |
−0.322038 | + | 0.946727i | \(0.604368\pi\) | |||||||
\(954\) | 17.2432 | − | 11.0409i | 0.558269 | − | 0.357461i | ||||
\(955\) | 0.0459352 | + | 0.0579120i | 0.00148643 | + | 0.00187399i | ||||
\(956\) | −4.07447 | + | 1.48299i | −0.131778 | + | 0.0479632i | ||||
\(957\) | −0.926577 | + | 4.74356i | −0.0299520 | + | 0.153337i | ||||
\(958\) | 1.05460 | + | 38.2590i | 0.0340727 | + | 1.23609i | ||||
\(959\) | 1.50428 | + | 32.7288i | 0.0485759 | + | 1.05687i | ||||
\(960\) | 0.00544562 | + | 0.0253902i | 0.000175757 | + | 0.000819464i | ||||
\(961\) | 20.0611 | − | 13.9101i | 0.647134 | − | 0.448713i | ||||
\(962\) | 3.42515 | + | 6.76829i | 0.110431 | + | 0.218218i | ||||
\(963\) | 4.71416 | + | 6.93393i | 0.151912 | + | 0.223443i | ||||
\(964\) | −5.04389 | − | 14.2643i | −0.162453 | − | 0.459423i | ||||
\(965\) | −0.311467 | − | 1.97828i | −0.0100265 | − | 0.0636832i | ||||
\(966\) | −0.467821 | + | 0.242168i | −0.0150519 | + | 0.00779164i | ||||
\(967\) | −42.4686 | + | 35.6354i | −1.36570 | + | 1.14596i | −0.391522 | + | 0.920169i | \(0.628051\pi\) |
−0.974176 | + | 0.225789i | \(0.927504\pi\) | |||||||
\(968\) | 0.427476 | + | 5.15886i | 0.0137396 | + | 0.165812i | ||||
\(969\) | −1.96548 | + | 0.150471i | −0.0631402 | + | 0.00483383i | ||||
\(970\) | 0.0582550 | − | 0.703033i | 0.00187045 | − | 0.0225730i | ||||
\(971\) | 21.9584 | + | 31.0553i | 0.704678 | + | 0.996611i | 0.999161 | + | 0.0409539i | \(0.0130397\pi\) |
−0.294483 | + | 0.955657i | \(0.595147\pi\) | |||||||
\(972\) | 0.564373 | − | 5.56632i | 0.0181023 | − | 0.178540i | ||||
\(973\) | −28.4696 | + | 35.8926i | −0.912695 | + | 1.15067i | ||||
\(974\) | 4.40333 | − | 13.2207i | 0.141092 | − | 0.423618i | ||||
\(975\) | −3.31383 | − | 1.71541i | −0.106128 | − | 0.0549371i | ||||
\(976\) | −12.1226 | + | 2.71675i | −0.388036 | + | 0.0869610i | ||||
\(977\) | 4.39523 | + | 22.5011i | 0.140616 | + | 0.719874i | 0.983375 | + | 0.181584i | \(0.0581225\pi\) |
−0.842760 | + | 0.538290i | \(0.819071\pi\) | |||||||
\(978\) | 1.54613 | + | 2.56785i | 0.0494398 | + | 0.0821107i | ||||
\(979\) | −14.2583 | + | 48.7098i | −0.455697 | + | 1.55677i | ||||
\(980\) | 0.604104 | − | 0.285084i | 0.0192974 | − | 0.00910666i | ||||
\(981\) | 25.6314 | − | 1.41412i | 0.818347 | − | 0.0451495i | ||||
\(982\) | −17.3720 | − | 2.57179i | −0.554362 | − | 0.0820692i | ||||
\(983\) | −35.4066 | − | 8.62087i | −1.12930 | − | 0.274963i | −0.372127 | − | 0.928182i | \(-0.621371\pi\) |
−0.757169 | + | 0.653219i | \(0.773418\pi\) | |||||||
\(984\) | 0.0505498 | − | 0.286682i | 0.00161147 | − | 0.00913909i | ||||
\(985\) | 0.413342 | + | 0.658790i | 0.0131702 | + | 0.0209908i | ||||
\(986\) | 12.1520 | − | 0.446711i | 0.386998 | − | 0.0142262i | ||||
\(987\) | −2.84698 | + | 0.977370i | −0.0906204 | + | 0.0311100i | ||||
\(988\) | −4.01971 | + | 14.9020i | −0.127884 | + | 0.474097i | ||||
\(989\) | 6.18342 | + | 2.12277i | 0.196621 | + | 0.0675002i | ||||
\(990\) | 1.39744 | + | 0.423032i | 0.0444135 | + | 0.0134448i | ||||
\(991\) | 54.0759 | + | 10.0481i | 1.71778 | + | 0.319187i | 0.947795 | − | 0.318880i | \(-0.103307\pi\) |
0.769981 | + | 0.638067i | \(0.220266\pi\) | |||||||
\(992\) | −0.855682 | + | 2.41990i | −0.0271679 | + | 0.0768320i | ||||
\(993\) | 1.82059 | − | 0.478876i | 0.0577748 | − | 0.0151967i | ||||
\(994\) | 11.1220 | + | 40.7580i | 0.352767 | + | 1.29276i | ||||
\(995\) | −1.59686 | − | 2.17261i | −0.0506239 | − | 0.0688763i | ||||
\(996\) | 0.797141 | + | 2.12907i | 0.0252584 | + | 0.0674621i | ||||
\(997\) | −31.5835 | − | 18.6236i | −1.00026 | − | 0.589817i | −0.0865766 | − | 0.996245i | \(-0.527593\pi\) |
−0.913683 | + | 0.406429i | \(0.866774\pi\) | |||||||
\(998\) | −24.4039 | + | 24.6291i | −0.772493 | + | 0.779622i | ||||
\(999\) | −2.59523 | + | 0.733861i | −0.0821095 | + | 0.0232184i |
(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 | 722.2.k.a.139.8 | ✓ | 1620 | |
361.187 | even | 171 | inner | 722.2.k.a.187.8 | yes | 1620 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.k.a.139.8 | ✓ | 1620 | 1.1 | even | 1 | trivial | |
722.2.k.a.187.8 | yes | 1620 | 361.187 | even | 171 | inner |