Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.1 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55596 | + | 2.14159i | −1.10023 | + | 1.51433i | −0.265146 | + | 0.964208i | \(0.585420\pi\) |
−0.835082 | + | 0.550125i | \(0.814580\pi\) | |||||||
\(3\) | −0.928513 | − | 1.46214i | −0.536077 | − | 0.844169i | ||||
\(4\) | −1.54738 | − | 4.76233i | −0.773688 | − | 2.38117i | ||||
\(5\) | 1.59907 | + | 1.56301i | 0.715124 | + | 0.698997i | ||||
\(6\) | 4.57604 | + | 0.286538i | 1.86816 | + | 0.116979i | ||||
\(7\) | 0.391826 | + | 1.20592i | 0.148096 | + | 0.455793i | 0.997396 | − | 0.0721173i | \(-0.0229756\pi\) |
−0.849300 | + | 0.527911i | \(0.822976\pi\) | |||||||
\(8\) | 7.57144 | + | 2.46011i | 2.67691 | + | 0.869780i | ||||
\(9\) | −1.27573 | + | 2.71524i | −0.425243 | + | 0.905079i | ||||
\(10\) | −5.83540 | + | 0.992578i | −1.84531 | + | 0.313881i | ||||
\(11\) | −2.72440 | + | 1.89146i | −0.821439 | + | 0.570297i | ||||
\(12\) | −5.52646 | + | 6.68438i | −1.59535 | + | 1.92961i | ||||
\(13\) | 2.33830 | + | 1.69888i | 0.648528 | + | 0.471183i | 0.862770 | − | 0.505597i | \(-0.168728\pi\) |
−0.214241 | + | 0.976781i | \(0.568728\pi\) | |||||||
\(14\) | −3.19224 | − | 1.03722i | −0.853163 | − | 0.277209i | ||||
\(15\) | 0.800584 | − | 3.78934i | 0.206710 | − | 0.978402i | ||||
\(16\) | −8.94722 | + | 6.50054i | −2.23681 | + | 1.62513i | ||||
\(17\) | 2.46931 | + | 3.39871i | 0.598896 | + | 0.824309i | 0.995607 | − | 0.0936345i | \(-0.0298485\pi\) |
−0.396711 | + | 0.917944i | \(0.629849\pi\) | |||||||
\(18\) | −3.82995 | − | 6.95688i | −0.902729 | − | 1.63975i | ||||
\(19\) | 2.26276 | + | 0.735215i | 0.519113 | + | 0.168670i | 0.556843 | − | 0.830618i | \(-0.312013\pi\) |
−0.0377299 | + | 0.999288i | \(0.512013\pi\) | |||||||
\(20\) | 4.96920 | − | 10.0338i | 1.11115 | − | 2.24364i | ||||
\(21\) | 1.39941 | − | 1.69261i | 0.305376 | − | 0.369359i | ||||
\(22\) | 0.188321 | − | 8.77759i | 0.0401502 | − | 1.87139i | ||||
\(23\) | −5.33159 | −1.11171 | −0.555857 | − | 0.831278i | \(-0.687610\pi\) | ||||
−0.555857 | + | 0.831278i | \(0.687610\pi\) | |||||||
\(24\) | −3.43315 | − | 13.3548i | −0.700788 | − | 2.72603i | ||||
\(25\) | 0.114029 | + | 4.99870i | 0.0228058 | + | 0.999740i | ||||
\(26\) | −7.27659 | + | 2.36431i | −1.42706 | + | 0.463679i | ||||
\(27\) | 5.15460 | − | 0.655837i | 0.992003 | − | 0.126216i | ||||
\(28\) | 5.13667 | − | 3.73201i | 0.970740 | − | 0.705284i | ||||
\(29\) | 0.920428 | + | 2.83279i | 0.170919 | + | 0.526035i | 0.999424 | − | 0.0339473i | \(-0.0108078\pi\) |
−0.828504 | + | 0.559982i | \(0.810808\pi\) | |||||||
\(30\) | 6.86953 | + | 7.61057i | 1.25420 | + | 1.38949i | ||||
\(31\) | 3.30827 | + | 2.40360i | 0.594184 | + | 0.431700i | 0.843810 | − | 0.536643i | \(-0.180308\pi\) |
−0.249626 | + | 0.968342i | \(0.580308\pi\) | |||||||
\(32\) | − | 13.3537i | − | 2.36062i | ||||||
\(33\) | 5.29523 | + | 2.22722i | 0.921781 | + | 0.387710i | ||||
\(34\) | −11.1208 | −1.90720 | ||||||||
\(35\) | −1.25830 | + | 2.54077i | −0.212691 | + | 0.429468i | ||||
\(36\) | 14.9049 | + | 1.87395i | 2.48415 | + | 0.312324i | ||||
\(37\) | −4.41557 | + | 1.43471i | −0.725915 | + | 0.235864i | −0.648586 | − | 0.761142i | \(-0.724639\pi\) |
−0.0773292 | + | 0.997006i | \(0.524639\pi\) | |||||||
\(38\) | −5.09529 | + | 3.70194i | −0.826565 | + | 0.600534i | ||||
\(39\) | 0.312857 | − | 4.99636i | 0.0500972 | − | 0.800058i | ||||
\(40\) | 8.26208 | + | 15.7681i | 1.30635 | + | 2.49315i | ||||
\(41\) | 2.88399 | − | 8.87601i | 0.450404 | − | 1.38620i | −0.426043 | − | 0.904703i | \(-0.640093\pi\) |
0.876447 | − | 0.481498i | \(-0.159907\pi\) | |||||||
\(42\) | 1.44747 | + | 5.63059i | 0.223349 | + | 0.868819i | ||||
\(43\) | 0.388853 | 0.0592995 | 0.0296498 | − | 0.999560i | \(-0.490561\pi\) | ||||
0.0296498 | + | 0.999560i | \(0.490561\pi\) | |||||||
\(44\) | 13.2234 | + | 10.0477i | 1.99351 | + | 1.51475i | ||||
\(45\) | −6.28391 | + | 2.34788i | −0.936749 | + | 0.350001i | ||||
\(46\) | 8.29573 | − | 11.4181i | 1.22314 | − | 1.68351i | ||||
\(47\) | 1.53724 | − | 4.73115i | 0.224230 | − | 0.690109i | −0.774139 | − | 0.633016i | \(-0.781817\pi\) |
0.998369 | − | 0.0570931i | \(-0.0181832\pi\) | |||||||
\(48\) | 17.8123 | + | 7.04629i | 2.57099 | + | 1.01704i | ||||
\(49\) | 4.36241 | − | 3.16948i | 0.623202 | − | 0.452783i | ||||
\(50\) | −10.8826 | − | 7.53356i | −1.53903 | − | 1.06541i | ||||
\(51\) | 2.67662 | − | 6.76623i | 0.374802 | − | 0.947462i | ||||
\(52\) | 4.47238 | − | 13.7646i | 0.620208 | − | 1.90880i | ||||
\(53\) | 3.20342 | + | 2.32742i | 0.440024 | + | 0.319696i | 0.785644 | − | 0.618678i | \(-0.212332\pi\) |
−0.345621 | + | 0.938374i | \(0.612332\pi\) | |||||||
\(54\) | −6.61580 | + | 12.0595i | −0.900296 | + | 1.64109i | ||||
\(55\) | −7.31287 | − | 1.23369i | −0.986067 | − | 0.166350i | ||||
\(56\) | 10.0945i | 1.34893i | ||||||||
\(57\) | −1.02601 | − | 3.99114i | −0.135899 | − | 0.528639i | ||||
\(58\) | −7.49882 | − | 2.43651i | −0.984643 | − | 0.319930i | ||||
\(59\) | −0.853529 | + | 0.277328i | −0.111120 | + | 0.0361051i | −0.364049 | − | 0.931380i | \(-0.618606\pi\) |
0.252929 | + | 0.967485i | \(0.418606\pi\) | |||||||
\(60\) | −19.2849 | + | 2.05088i | −2.48967 | + | 0.264767i | ||||
\(61\) | −0.883280 | − | 1.21573i | −0.113092 | − | 0.155658i | 0.748718 | − | 0.662888i | \(-0.230670\pi\) |
−0.861811 | + | 0.507230i | \(0.830670\pi\) | |||||||
\(62\) | −10.2951 | + | 3.34507i | −1.30747 | + | 0.424824i | ||||
\(63\) | −3.77421 | − | 0.474520i | −0.475506 | − | 0.0597839i | ||||
\(64\) | 10.7037 | + | 7.77667i | 1.33796 | + | 0.972084i | ||||
\(65\) | 1.08375 | + | 6.37139i | 0.134423 | + | 0.790274i | ||||
\(66\) | −13.0090 | + | 7.87475i | −1.60129 | + | 0.969315i | ||||
\(67\) | − | 11.9685i | − | 1.46219i | −0.682277 | − | 0.731094i | \(-0.739010\pi\) | ||
0.682277 | − | 0.731094i | \(-0.260990\pi\) | |||||||
\(68\) | 12.3649 | − | 17.0188i | 1.49946 | − | 2.06383i | ||||
\(69\) | 4.95045 | + | 7.79555i | 0.595964 | + | 0.938474i | ||||
\(70\) | −3.48342 | − | 6.64808i | −0.416349 | − | 0.794598i | ||||
\(71\) | −6.06966 | − | 8.35417i | −0.720336 | − | 0.991458i | −0.999513 | − | 0.0312181i | \(-0.990061\pi\) |
0.279176 | − | 0.960240i | \(-0.409939\pi\) | |||||||
\(72\) | −16.3389 | + | 17.4198i | −1.92556 | + | 2.05295i | ||||
\(73\) | 0.481100 | + | 1.48067i | 0.0563085 | + | 0.173300i | 0.975255 | − | 0.221082i | \(-0.0709588\pi\) |
−0.918947 | + | 0.394382i | \(0.870959\pi\) | |||||||
\(74\) | 3.79788 | − | 11.6887i | 0.441495 | − | 1.35878i | ||||
\(75\) | 7.20294 | − | 4.80808i | 0.831724 | − | 0.555190i | ||||
\(76\) | − | 11.9137i | − | 1.36659i | ||||||
\(77\) | −3.34843 | − | 2.54428i | −0.381589 | − | 0.289947i | ||||
\(78\) | 10.2134 | + | 8.44414i | 1.15644 | + | 0.956110i | ||||
\(79\) | −6.69599 | + | 9.21624i | −0.753358 | + | 1.03691i | 0.244380 | + | 0.969680i | \(0.421416\pi\) |
−0.997738 | + | 0.0672281i | \(0.978584\pi\) | |||||||
\(80\) | −24.4676 | − | 3.58976i | −2.73556 | − | 0.401348i | ||||
\(81\) | −5.74504 | − | 6.92781i | −0.638338 | − | 0.769757i | ||||
\(82\) | 14.5214 | + | 19.9870i | 1.60362 | + | 2.20720i | ||||
\(83\) | 1.69133 | + | 2.32792i | 0.185648 | + | 0.255522i | 0.891689 | − | 0.452648i | \(-0.149521\pi\) |
−0.706041 | + | 0.708171i | \(0.749521\pi\) | |||||||
\(84\) | −10.2262 | − | 4.04533i | −1.11577 | − | 0.441382i | ||||
\(85\) | −1.36362 | + | 9.29431i | −0.147905 | + | 1.00811i | ||||
\(86\) | −0.605039 | + | 0.832764i | −0.0652430 | + | 0.0897993i | ||||
\(87\) | 3.28731 | − | 3.97608i | 0.352437 | − | 0.426280i | ||||
\(88\) | −25.2809 | + | 7.61875i | −2.69495 | + | 0.812161i | ||||
\(89\) | − | 7.36454i | − | 0.780640i | −0.920679 | − | 0.390320i | \(-0.872364\pi\) | ||
0.920679 | − | 0.390320i | \(-0.127636\pi\) | |||||||
\(90\) | 4.74929 | − | 17.1108i | 0.500619 | − | 1.80363i | ||||
\(91\) | −1.13249 | + | 3.48546i | −0.118718 | + | 0.365375i | ||||
\(92\) | 8.24998 | + | 25.3908i | 0.860120 | + | 2.64718i | ||||
\(93\) | 0.442636 | − | 7.06895i | 0.0458992 | − | 0.733016i | ||||
\(94\) | 7.74030 | + | 10.6536i | 0.798351 | + | 1.09884i | ||||
\(95\) | 2.46916 | + | 4.71236i | 0.253330 | + | 0.483478i | ||||
\(96\) | −19.5250 | + | 12.3991i | −1.99276 | + | 1.26547i | ||||
\(97\) | −5.61954 | + | 7.73464i | −0.570578 | + | 0.785333i | −0.992623 | − | 0.121242i | \(-0.961312\pi\) |
0.422045 | + | 0.906575i | \(0.361312\pi\) | |||||||
\(98\) | 14.2741i | 1.44190i | ||||||||
\(99\) | −1.66017 | − | 9.81039i | −0.166853 | − | 0.985982i | ||||
\(100\) | 23.6290 | − | 8.27791i | 2.36290 | − | 0.827791i | ||||
\(101\) | 2.16515 | + | 1.57308i | 0.215441 | + | 0.156527i | 0.690272 | − | 0.723550i | \(-0.257491\pi\) |
−0.474831 | + | 0.880077i | \(0.657491\pi\) | |||||||
\(102\) | 10.3258 | + | 16.2602i | 1.02241 | + | 1.61000i | ||||
\(103\) | 15.6403 | − | 5.08183i | 1.54108 | − | 0.500727i | 0.589406 | − | 0.807837i | \(-0.299362\pi\) |
0.951674 | + | 0.307110i | \(0.0993618\pi\) | |||||||
\(104\) | 13.5249 | + | 18.6154i | 1.32623 | + | 1.82539i | ||||
\(105\) | 4.88331 | − | 0.519322i | 0.476562 | − | 0.0506807i | ||||
\(106\) | −9.96877 | + | 3.23905i | −0.968252 | + | 0.314604i | ||||
\(107\) | −11.0532 | − | 3.59139i | −1.06855 | − | 0.347193i | −0.278627 | − | 0.960399i | \(-0.589879\pi\) |
−0.789923 | + | 0.613207i | \(0.789879\pi\) | |||||||
\(108\) | −11.0994 | − | 23.5331i | −1.06804 | − | 2.26447i | ||||
\(109\) | 7.33400i | 0.702469i | 0.936287 | + | 0.351235i | \(0.114238\pi\) | ||||
−0.936287 | + | 0.351235i | \(0.885762\pi\) | |||||||
\(110\) | 14.0206 | − | 13.7416i | 1.33681 | − | 1.31021i | ||||
\(111\) | 6.19766 | + | 5.12405i | 0.588256 | + | 0.486354i | ||||
\(112\) | −11.3449 | − | 8.24252i | −1.07199 | − | 0.778845i | ||||
\(113\) | −1.04031 | + | 3.20175i | −0.0978644 | + | 0.301196i | −0.987990 | − | 0.154520i | \(-0.950617\pi\) |
0.890125 | + | 0.455716i | \(0.150617\pi\) | |||||||
\(114\) | 10.1438 | + | 4.01274i | 0.950055 | + | 0.375827i | ||||
\(115\) | −8.52557 | − | 8.33330i | −0.795013 | − | 0.777085i | ||||
\(116\) | 12.0664 | − | 8.76677i | 1.12034 | − | 0.813974i | ||||
\(117\) | −7.59589 | + | 4.18174i | −0.702240 | + | 0.386602i | ||||
\(118\) | 0.734130 | − | 2.25942i | 0.0675822 | − | 0.207997i | ||||
\(119\) | −3.13102 | + | 4.30948i | −0.287020 | + | 0.395050i | ||||
\(120\) | 15.3838 | − | 26.7212i | 1.40434 | − | 2.43930i | ||||
\(121\) | 3.84476 | − | 10.3062i | 0.349523 | − | 0.936928i | ||||
\(122\) | 3.97794 | 0.360146 | ||||||||
\(123\) | −15.6558 | + | 4.02468i | −1.41164 | + | 0.362893i | ||||
\(124\) | 6.32761 | − | 19.4744i | 0.568236 | − | 1.74885i | ||||
\(125\) | −7.63065 | + | 8.17148i | −0.682506 | + | 0.730880i | ||||
\(126\) | 6.88874 | − | 7.34449i | 0.613698 | − | 0.654299i | ||||
\(127\) | 1.91853 | − | 1.39390i | 0.170242 | − | 0.123688i | −0.499402 | − | 0.866371i | \(-0.666447\pi\) |
0.669644 | + | 0.742682i | \(0.266447\pi\) | |||||||
\(128\) | −7.90871 | + | 2.56970i | −0.699038 | + | 0.227131i | ||||
\(129\) | −0.361055 | − | 0.568559i | −0.0317891 | − | 0.0500588i | ||||
\(130\) | −15.3312 | − | 7.59267i | −1.34463 | − | 0.665921i | ||||
\(131\) | 7.64133 | 0.667626 | 0.333813 | − | 0.942639i | \(-0.391665\pi\) | ||||
0.333813 | + | 0.942639i | \(0.391665\pi\) | |||||||
\(132\) | 2.41307 | − | 28.6640i | 0.210031 | − | 2.49488i | ||||
\(133\) | 3.01677i | 0.261587i | ||||||||
\(134\) | 25.6317 | + | 18.6225i | 2.21424 | + | 1.60874i | ||||
\(135\) | 9.26762 | + | 7.00794i | 0.797630 | + | 0.603147i | ||||
\(136\) | 10.3350 | + | 31.8079i | 0.886221 | + | 2.72751i | ||||
\(137\) | 9.43506 | − | 6.85497i | 0.806092 | − | 0.585660i | −0.106603 | − | 0.994302i | \(-0.533997\pi\) |
0.912695 | + | 0.408642i | \(0.133997\pi\) | |||||||
\(138\) | −24.3976 | − | 1.52770i | −2.07686 | − | 0.130047i | ||||
\(139\) | −0.120909 | + | 0.0392857i | −0.0102554 | + | 0.00333217i | −0.314140 | − | 0.949377i | \(-0.601716\pi\) |
0.303885 | + | 0.952709i | \(0.401716\pi\) | |||||||
\(140\) | 14.0470 | + | 2.06091i | 1.18719 | + | 0.174179i | ||||
\(141\) | −8.34497 | + | 2.14526i | −0.702773 | + | 0.180664i | ||||
\(142\) | 27.3354 | 2.29393 | ||||||||
\(143\) | −9.58384 | − | 0.205619i | −0.801441 | − | 0.0171947i | ||||
\(144\) | −6.23629 | − | 32.5868i | −0.519691 | − | 2.71556i | ||||
\(145\) | −2.95583 | + | 5.96845i | −0.245469 | + | 0.495653i | ||||
\(146\) | −3.91957 | − | 1.27354i | −0.324386 | − | 0.105399i | ||||
\(147\) | −8.68479 | − | 3.43557i | −0.716309 | − | 0.283361i | ||||
\(148\) | 13.6651 | + | 18.8084i | 1.12326 | + | 1.54604i | ||||
\(149\) | −12.8269 | + | 9.31929i | −1.05082 | + | 0.763466i | −0.972368 | − | 0.233452i | \(-0.924998\pi\) |
−0.0784521 | + | 0.996918i | \(0.524998\pi\) | |||||||
\(150\) | −0.910515 | + | 22.9069i | −0.0743432 | + | 1.87034i | ||||
\(151\) | 19.0890 | + | 6.20240i | 1.55344 | + | 0.504744i | 0.955047 | − | 0.296456i | \(-0.0958048\pi\) |
0.598397 | + | 0.801200i | \(0.295805\pi\) | |||||||
\(152\) | 15.3236 | + | 11.1333i | 1.24291 | + | 0.903028i | ||||
\(153\) | −12.3785 | + | 2.36893i | −1.00074 | + | 0.191517i | ||||
\(154\) | 10.6588 | − | 3.21219i | 0.858912 | − | 0.258845i | ||||
\(155\) | 1.53331 | + | 9.01437i | 0.123158 | + | 0.724052i | ||||
\(156\) | −24.2785 | + | 6.24132i | −1.94383 | + | 0.499706i | ||||
\(157\) | −18.9737 | − | 6.16494i | −1.51427 | − | 0.492015i | −0.570127 | − | 0.821557i | \(-0.693106\pi\) |
−0.944141 | + | 0.329541i | \(0.893106\pi\) | |||||||
\(158\) | −9.31874 | − | 28.6801i | −0.741359 | − | 2.28167i | ||||
\(159\) | 0.428607 | − | 6.84490i | 0.0339907 | − | 0.542836i | ||||
\(160\) | 20.8719 | − | 21.3534i | 1.65007 | − | 1.68814i | ||||
\(161\) | −2.08905 | − | 6.42945i | −0.164641 | − | 0.506712i | ||||
\(162\) | 23.7756 | − | 1.52415i | 1.86798 | − | 0.119748i | ||||
\(163\) | −0.415086 | + | 0.571317i | −0.0325121 | + | 0.0447490i | −0.824964 | − | 0.565186i | \(-0.808804\pi\) |
0.792452 | + | 0.609935i | \(0.208804\pi\) | |||||||
\(164\) | −46.7332 | −3.64925 | ||||||||
\(165\) | 4.98626 | + | 11.8380i | 0.388180 | + | 0.921584i | ||||
\(166\) | −7.61709 | −0.591201 | ||||||||
\(167\) | −1.88104 | + | 2.58903i | −0.145559 | + | 0.200345i | −0.875571 | − | 0.483090i | \(-0.839515\pi\) |
0.730012 | + | 0.683434i | \(0.239515\pi\) | |||||||
\(168\) | 14.7595 | − | 9.37283i | 1.13872 | − | 0.723130i | ||||
\(169\) | −1.43574 | − | 4.41877i | −0.110442 | − | 0.339905i | ||||
\(170\) | −17.7829 | − | 17.3819i | −1.36389 | − | 1.33313i | ||||
\(171\) | −4.88295 | + | 5.20600i | −0.373408 | + | 0.398113i | ||||
\(172\) | −0.601702 | − | 1.85185i | −0.0458793 | − | 0.141202i | ||||
\(173\) | 16.0085 | + | 5.20147i | 1.21710 | + | 0.395461i | 0.846026 | − | 0.533141i | \(-0.178989\pi\) |
0.371077 | + | 0.928602i | \(0.378989\pi\) | |||||||
\(174\) | 3.40022 | + | 13.2267i | 0.257770 | + | 1.00271i | ||||
\(175\) | −5.98333 | + | 2.09613i | −0.452297 | + | 0.158452i | ||||
\(176\) | 12.0803 | − | 34.6334i | 0.910590 | − | 2.61059i | ||||
\(177\) | 1.19801 | + | 0.990479i | 0.0900477 | + | 0.0744489i | ||||
\(178\) | 15.7718 | + | 11.4589i | 1.18215 | + | 0.858881i | ||||
\(179\) | 17.7281 | + | 5.76022i | 1.32506 | + | 0.430539i | 0.884231 | − | 0.467050i | \(-0.154683\pi\) |
0.440833 | + | 0.897589i | \(0.354683\pi\) | |||||||
\(180\) | 20.9049 | + | 26.2930i | 1.55816 | + | 1.95977i | ||||
\(181\) | 8.94907 | − | 6.50188i | 0.665179 | − | 0.483281i | −0.203229 | − | 0.979131i | \(-0.565144\pi\) |
0.868408 | + | 0.495850i | \(0.165144\pi\) | |||||||
\(182\) | −5.70231 | − | 7.84856i | −0.422684 | − | 0.581774i | ||||
\(183\) | −0.957436 | + | 2.42030i | −0.0707757 | + | 0.178914i | ||||
\(184\) | −40.3678 | − | 13.1163i | −2.97596 | − | 0.966947i | ||||
\(185\) | −9.30324 | − | 4.60737i | −0.683988 | − | 0.338740i | ||||
\(186\) | 14.4501 | + | 11.9469i | 1.05953 | + | 0.875991i | ||||
\(187\) | −13.1559 | − | 4.58887i | −0.962057 | − | 0.335571i | ||||
\(188\) | −24.9100 | −1.81675 | ||||||||
\(189\) | 2.81059 | + | 5.95904i | 0.204440 | + | 0.433456i | ||||
\(190\) | −13.9339 | − | 2.04431i | −1.01087 | − | 0.148310i | ||||
\(191\) | 14.5873 | − | 4.73971i | 1.05550 | − | 0.342954i | 0.270677 | − | 0.962670i | \(-0.412752\pi\) |
0.784826 | + | 0.619716i | \(0.212752\pi\) | |||||||
\(192\) | 1.43212 | − | 22.8711i | 0.103354 | − | 1.65058i | ||||
\(193\) | 8.18539 | − | 5.94703i | 0.589197 | − | 0.428077i | −0.252831 | − | 0.967510i | \(-0.581362\pi\) |
0.842028 | + | 0.539434i | \(0.181362\pi\) | |||||||
\(194\) | −7.82066 | − | 24.0695i | −0.561491 | − | 1.72809i | ||||
\(195\) | 8.30962 | − | 7.50052i | 0.595064 | − | 0.537123i | ||||
\(196\) | −21.8444 | − | 15.8709i | −1.56032 | − | 1.13364i | ||||
\(197\) | − | 15.8978i | − | 1.13267i | −0.824175 | − | 0.566335i | \(-0.808361\pi\) | ||
0.824175 | − | 0.566335i | \(-0.191639\pi\) | |||||||
\(198\) | 23.5930 | + | 11.7092i | 1.67668 | + | 0.832133i | ||||
\(199\) | 0.982462 | 0.0696449 | 0.0348225 | − | 0.999394i | \(-0.488913\pi\) | ||||
0.0348225 | + | 0.999394i | \(0.488913\pi\) | |||||||
\(200\) | −11.4340 | + | 38.1279i | −0.808505 | + | 2.69605i | ||||
\(201\) | −17.4997 | + | 11.1129i | −1.23433 | + | 0.783845i | ||||
\(202\) | −6.73778 | + | 2.18924i | −0.474068 | + | 0.154034i | ||||
\(203\) | −3.05545 | + | 2.21992i | −0.214451 | + | 0.155808i | ||||
\(204\) | −36.3648 | − | 2.27705i | −2.54605 | − | 0.159426i | ||||
\(205\) | 18.4850 | − | 9.68564i | 1.29105 | − | 0.676475i | ||||
\(206\) | −13.4524 | + | 41.4021i | −0.937271 | + | 2.88462i | ||||
\(207\) | 6.80166 | − | 14.4765i | 0.472748 | − | 1.00619i | ||||
\(208\) | −31.9649 | −2.21637 | ||||||||
\(209\) | −7.55530 | + | 2.27690i | −0.522611 | + | 0.157496i | ||||
\(210\) | −6.48604 | + | 11.2661i | −0.447579 | + | 0.777434i | ||||
\(211\) | −10.3716 | + | 14.2753i | −0.714009 | + | 0.982749i | 0.285693 | + | 0.958321i | \(0.407776\pi\) |
−0.999702 | + | 0.0244275i | \(0.992224\pi\) | |||||||
\(212\) | 6.12706 | − | 18.8572i | 0.420808 | − | 1.29511i | ||||
\(213\) | −6.57924 | + | 16.6317i | −0.450802 | + | 1.13958i | ||||
\(214\) | 24.8895 | − | 18.0833i | 1.70141 | − | 1.23615i | ||||
\(215\) | 0.621802 | + | 0.607779i | 0.0424065 | + | 0.0414502i | ||||
\(216\) | 40.6412 | + | 7.71525i | 2.76528 | + | 0.524956i | ||||
\(217\) | −1.60227 | + | 4.93129i | −0.108769 | + | 0.334758i | ||||
\(218\) | −15.7064 | − | 11.4114i | −1.06377 | − | 0.772876i | ||||
\(219\) | 1.71825 | − | 2.07826i | 0.116108 | − | 0.140436i | ||||
\(220\) | 5.44053 | + | 36.7353i | 0.366800 | + | 2.47669i | ||||
\(221\) | 12.1423i | 0.816777i | ||||||||
\(222\) | −20.6169 | + | 5.30004i | −1.38372 | + | 0.355716i | ||||
\(223\) | 11.2133 | + | 3.64342i | 0.750897 | + | 0.243981i | 0.659367 | − | 0.751821i | \(-0.270824\pi\) |
0.0915300 | + | 0.995802i | \(0.470824\pi\) | |||||||
\(224\) | 16.1034 | − | 5.23231i | 1.07595 | − | 0.349599i | ||||
\(225\) | −13.7181 | − | 6.06736i | −0.914542 | − | 0.404491i | ||||
\(226\) | −5.23817 | − | 7.20972i | −0.348438 | − | 0.479583i | ||||
\(227\) | 10.3875 | − | 3.37511i | 0.689444 | − | 0.224014i | 0.0567187 | − | 0.998390i | \(-0.481936\pi\) |
0.632725 | + | 0.774376i | \(0.281936\pi\) | |||||||
\(228\) | −17.4195 | + | 11.0620i | −1.15363 | + | 0.732599i | ||||
\(229\) | −2.96535 | − | 2.15445i | −0.195956 | − | 0.142370i | 0.485481 | − | 0.874247i | \(-0.338644\pi\) |
−0.681437 | + | 0.731877i | \(0.738644\pi\) | |||||||
\(230\) | 31.1120 | − | 5.29202i | 2.05146 | − | 0.348945i | ||||
\(231\) | −0.611037 | + | 7.25829i | −0.0402033 | + | 0.477560i | ||||
\(232\) | 23.7126i | 1.55681i | ||||||||
\(233\) | 4.69643 | − | 6.46408i | 0.307673 | − | 0.423476i | −0.626981 | − | 0.779035i | \(-0.715709\pi\) |
0.934654 | + | 0.355559i | \(0.115709\pi\) | |||||||
\(234\) | 2.86329 | − | 22.7739i | 0.187179 | − | 1.48878i | ||||
\(235\) | 9.85296 | − | 5.16270i | 0.642736 | − | 0.336778i | ||||
\(236\) | 2.64146 | + | 3.63566i | 0.171944 | + | 0.236661i | ||||
\(237\) | 19.6928 | + | 1.23310i | 1.27918 | + | 0.0800985i | ||||
\(238\) | −4.35741 | − | 13.4107i | −0.282449 | − | 0.869289i | ||||
\(239\) | 5.21997 | − | 16.0654i | 0.337652 | − | 1.03919i | −0.627749 | − | 0.778416i | \(-0.716024\pi\) |
0.965401 | − | 0.260770i | \(-0.0839764\pi\) | |||||||
\(240\) | 17.4697 | + | 39.1083i | 1.12767 | + | 2.52443i | ||||
\(241\) | − | 9.88741i | − | 0.636904i | −0.947939 | − | 0.318452i | \(-0.896837\pi\) | ||
0.947939 | − | 0.318452i | \(-0.103163\pi\) | |||||||
\(242\) | 16.0894 | + | 24.2699i | 1.03427 | + | 1.56013i | ||||
\(243\) | −4.79511 | + | 14.8326i | −0.307606 | + | 0.951514i | ||||
\(244\) | −4.42295 | + | 6.08767i | −0.283150 | + | 0.389723i | ||||
\(245\) | 11.9297 | + | 1.75027i | 0.762161 | + | 0.111820i | ||||
\(246\) | 15.7406 | − | 39.7906i | 1.00358 | − | 2.53696i | ||||
\(247\) | 4.04198 | + | 5.56330i | 0.257185 | + | 0.353984i | ||||
\(248\) | 19.1353 | + | 26.3375i | 1.21509 | + | 1.67243i | ||||
\(249\) | 1.83333 | − | 4.63447i | 0.116182 | − | 0.293698i | ||||
\(250\) | −5.62700 | − | 29.0562i | −0.355883 | − | 1.83768i | ||||
\(251\) | −3.76816 | + | 5.18643i | −0.237844 | + | 0.327365i | −0.911208 | − | 0.411947i | \(-0.864849\pi\) |
0.673364 | + | 0.739312i | \(0.264849\pi\) | |||||||
\(252\) | 3.58030 | + | 18.7083i | 0.225538 | + | 1.17851i | ||||
\(253\) | 14.5254 | − | 10.0845i | 0.913205 | − | 0.634007i | ||||
\(254\) | 6.27755i | 0.393889i | ||||||||
\(255\) | 14.8558 | − | 6.63609i | 0.930303 | − | 0.415568i | ||||
\(256\) | −1.37450 | + | 4.23029i | −0.0859065 | + | 0.264393i | ||||
\(257\) | 2.24349 | + | 6.90476i | 0.139945 | + | 0.430707i | 0.996326 | − | 0.0856371i | \(-0.0272926\pi\) |
−0.856381 | + | 0.516344i | \(0.827293\pi\) | |||||||
\(258\) | 1.77941 | + | 0.111421i | 0.110781 | + | 0.00693677i | ||||
\(259\) | −3.46027 | − | 4.76265i | −0.215011 | − | 0.295937i | ||||
\(260\) | 28.6657 | − | 15.0201i | 1.77777 | − | 0.931508i | ||||
\(261\) | −8.86590 | − | 1.11468i | −0.548786 | − | 0.0689971i | ||||
\(262\) | −11.8896 | + | 16.3646i | −0.734541 | + | 1.01101i | ||||
\(263\) | − | 28.7137i | − | 1.77056i | −0.465058 | − | 0.885280i | \(-0.653967\pi\) | ||
0.465058 | − | 0.885280i | \(-0.346033\pi\) | |||||||
\(264\) | 34.6133 | + | 29.8902i | 2.13030 | + | 1.83961i | ||||
\(265\) | 1.48471 | + | 8.72866i | 0.0912051 | + | 0.536198i | ||||
\(266\) | −6.46070 | − | 4.69397i | −0.396131 | − | 0.287806i | ||||
\(267\) | −10.7680 | + | 6.83807i | −0.658992 | + | 0.418483i | ||||
\(268\) | −56.9981 | + | 18.5198i | −3.48171 | + | 1.13128i | ||||
\(269\) | −3.09842 | − | 4.26461i | −0.188914 | − | 0.260018i | 0.704045 | − | 0.710155i | \(-0.251375\pi\) |
−0.892959 | + | 0.450137i | \(0.851375\pi\) | |||||||
\(270\) | −29.4282 | + | 8.94341i | −1.79094 | + | 0.544278i | ||||
\(271\) | −27.1927 | + | 8.83545i | −1.65184 | + | 0.536715i | −0.979138 | − | 0.203199i | \(-0.934866\pi\) |
−0.672702 | + | 0.739914i | \(0.734866\pi\) | |||||||
\(272\) | −44.1869 | − | 14.3572i | −2.67923 | − | 0.870533i | ||||
\(273\) | 6.14778 | − | 1.58042i | 0.372080 | − | 0.0956516i | ||||
\(274\) | 30.8721i | 1.86505i | ||||||||
\(275\) | −9.76550 | − | 13.4028i | −0.588882 | − | 0.808219i | ||||
\(276\) | 29.4648 | − | 35.6384i | 1.77357 | − | 2.14518i | ||||
\(277\) | 20.7361 | + | 15.0657i | 1.24591 | + | 0.905209i | 0.997978 | − | 0.0635672i | \(-0.0202477\pi\) |
0.247936 | + | 0.968776i | \(0.420248\pi\) | |||||||
\(278\) | 0.103995 | − | 0.320064i | 0.00623722 | − | 0.0191962i | ||||
\(279\) | −10.7468 | + | 5.91641i | −0.643395 | + | 0.354206i | ||||
\(280\) | −15.7777 | + | 16.1417i | −0.942897 | + | 0.964652i | ||||
\(281\) | 14.5208 | − | 10.5500i | 0.866238 | − | 0.629359i | −0.0633366 | − | 0.997992i | \(-0.520174\pi\) |
0.929575 | + | 0.368633i | \(0.120174\pi\) | |||||||
\(282\) | 8.39014 | − | 21.2094i | 0.499625 | − | 1.26300i | ||||
\(283\) | −3.89407 | + | 11.9847i | −0.231478 | + | 0.712417i | 0.766091 | + | 0.642732i | \(0.222199\pi\) |
−0.997569 | + | 0.0696846i | \(0.977801\pi\) | |||||||
\(284\) | −30.3933 | + | 41.8328i | −1.80351 | + | 2.48232i | ||||
\(285\) | 4.59751 | − | 7.98575i | 0.272333 | − | 0.473035i | ||||
\(286\) | 15.3524 | − | 20.2047i | 0.907806 | − | 1.19473i | ||||
\(287\) | 11.8337 | 0.698524 | ||||||||
\(288\) | 36.2584 | + | 17.0357i | 2.13655 | + | 1.00384i | ||||
\(289\) | −0.200472 | + | 0.616990i | −0.0117925 | + | 0.0362935i | ||||
\(290\) | −8.18282 | − | 15.6168i | −0.480512 | − | 0.917052i | ||||
\(291\) | 16.5270 | + | 1.03487i | 0.968828 | + | 0.0606650i | ||||
\(292\) | 6.30702 | − | 4.58232i | 0.369090 | − | 0.268160i | ||||
\(293\) | −16.3386 | + | 5.30874i | −0.954512 | + | 0.310140i | −0.744547 | − | 0.667569i | \(-0.767335\pi\) |
−0.209964 | + | 0.977709i | \(0.567335\pi\) | |||||||
\(294\) | 20.8708 | − | 13.2537i | 1.21721 | − | 0.772970i | ||||
\(295\) | −1.79831 | − | 0.890603i | −0.104702 | − | 0.0518529i | ||||
\(296\) | −36.9618 | −2.14836 | ||||||||
\(297\) | −12.8027 | + | 11.5365i | −0.742889 | + | 0.669415i | ||||
\(298\) | − | 41.9704i | − | 2.43128i | ||||||
\(299\) | −12.4669 | − | 9.05771i | −0.720978 | − | 0.523821i | ||||
\(300\) | −34.0434 | − | 26.8629i | −1.96549 | − | 1.55093i | ||||
\(301\) | 0.152363 | + | 0.468924i | 0.00878204 | + | 0.0270283i | ||||
\(302\) | −42.9847 | + | 31.2302i | −2.47349 | + | 1.79710i | ||||
\(303\) | 0.289690 | − | 4.62639i | 0.0166423 | − | 0.265779i | ||||
\(304\) | −25.0247 | + | 8.13102i | −1.43527 | + | 0.466346i | ||||
\(305\) | 0.487770 | − | 3.32461i | 0.0279296 | − | 0.190366i | ||||
\(306\) | 14.1871 | − | 30.1956i | 0.811023 | − | 1.72617i | ||||
\(307\) | −26.8430 | −1.53201 | −0.766006 | − | 0.642833i | \(-0.777759\pi\) | ||||
−0.766006 | + | 0.642833i | \(0.777759\pi\) | |||||||
\(308\) | −6.93542 | + | 19.8833i | −0.395182 | + | 1.13296i | ||||
\(309\) | −21.9525 | − | 18.1498i | −1.24884 | − | 1.03250i | ||||
\(310\) | −21.6909 | − | 10.7423i | −1.23196 | − | 0.610119i | ||||
\(311\) | −8.96545 | − | 2.91305i | −0.508384 | − | 0.165184i | 0.0435831 | − | 0.999050i | \(-0.486123\pi\) |
−0.551967 | + | 0.833866i | \(0.686123\pi\) | |||||||
\(312\) | 14.6604 | − | 37.0600i | 0.829981 | − | 2.09811i | ||||
\(313\) | −15.5005 | − | 21.3347i | −0.876143 | − | 1.20591i | −0.977474 | − | 0.211054i | \(-0.932310\pi\) |
0.101331 | − | 0.994853i | \(-0.467690\pi\) | |||||||
\(314\) | 42.7251 | − | 31.0416i | 2.41112 | − | 1.75178i | ||||
\(315\) | −5.29354 | − | 6.65790i | −0.298257 | − | 0.375130i | ||||
\(316\) | 54.2520 | + | 17.6275i | 3.05191 | + | 0.991627i | ||||
\(317\) | −3.06727 | − | 2.22850i | −0.172275 | − | 0.125165i | 0.498306 | − | 0.867001i | \(-0.333955\pi\) |
−0.670582 | + | 0.741836i | \(0.733955\pi\) | |||||||
\(318\) | 13.9921 | + | 11.5683i | 0.784637 | + | 0.648716i | ||||
\(319\) | −7.86572 | − | 5.97670i | −0.440396 | − | 0.334631i | ||||
\(320\) | 4.96091 | + | 29.1653i | 0.277323 | + | 1.63039i | ||||
\(321\) | 5.01188 | + | 19.4960i | 0.279736 | + | 1.08816i | ||||
\(322\) | 17.0197 | + | 5.53005i | 0.948472 | + | 0.308177i | ||||
\(323\) | 3.08867 | + | 9.50594i | 0.171858 | + | 0.528925i | ||||
\(324\) | −24.1028 | + | 38.0797i | −1.33905 | + | 2.11554i | ||||
\(325\) | −8.22554 | + | 11.8822i | −0.456271 | + | 0.659105i | ||||
\(326\) | −0.577672 | − | 1.77789i | −0.0319943 | − | 0.0984682i | ||||
\(327\) | 10.7234 | − | 6.80971i | 0.593003 | − | 0.376578i | ||||
\(328\) | 43.6720 | − | 60.1093i | 2.41138 | − | 3.31898i | ||||
\(329\) | 6.30770 | 0.347755 | ||||||||
\(330\) | −33.1105 | − | 7.74081i | −1.82267 | − | 0.426118i | ||||
\(331\) | −9.94648 | −0.546708 | −0.273354 | − | 0.961913i | \(-0.588133\pi\) | ||||
−0.273354 | + | 0.961913i | \(0.588133\pi\) | |||||||
\(332\) | 8.46920 | − | 11.6568i | 0.464808 | − | 0.639753i | ||||
\(333\) | 1.73750 | − | 13.8196i | 0.0952142 | − | 0.757310i | ||||
\(334\) | −2.61782 | − | 8.05683i | −0.143241 | − | 0.440850i | ||||
\(335\) | 18.7069 | − | 19.1385i | 1.02206 | − | 1.04565i | ||||
\(336\) | −1.51790 | + | 24.2411i | −0.0828084 | + | 1.32246i | ||||
\(337\) | 6.62684 | + | 20.3953i | 0.360987 | + | 1.11100i | 0.952456 | + | 0.304676i | \(0.0985482\pi\) |
−0.591469 | + | 0.806328i | \(0.701452\pi\) | |||||||
\(338\) | 11.6971 | + | 3.80063i | 0.636241 | + | 0.206727i | ||||
\(339\) | 5.64737 | − | 1.45178i | 0.306723 | − | 0.0788500i | ||||
\(340\) | 46.3727 | − | 7.88781i | 2.51491 | − | 0.427776i | ||||
\(341\) | −13.5594 | − | 0.290913i | −0.734282 | − | 0.0157538i | ||||
\(342\) | −3.55146 | − | 18.5576i | −0.192041 | − | 1.00348i | ||||
\(343\) | 12.7121 | + | 9.23590i | 0.686390 | + | 0.498692i | ||||
\(344\) | 2.94418 | + | 0.956621i | 0.158739 | + | 0.0515776i | ||||
\(345\) | −4.26839 | + | 20.2032i | −0.229802 | + | 1.08770i | ||||
\(346\) | −36.0480 | + | 26.1904i | −1.93795 | + | 1.40800i | ||||
\(347\) | 3.54558 | + | 4.88008i | 0.190337 | + | 0.261976i | 0.893511 | − | 0.449042i | \(-0.148234\pi\) |
−0.703174 | + | 0.711018i | \(0.748234\pi\) | |||||||
\(348\) | −24.0221 | − | 9.50279i | −1.28772 | − | 0.509403i | ||||
\(349\) | −4.12701 | − | 1.34095i | −0.220914 | − | 0.0717792i | 0.196469 | − | 0.980510i | \(-0.437053\pi\) |
−0.417383 | + | 0.908731i | \(0.637053\pi\) | |||||||
\(350\) | 4.82076 | − | 16.0753i | 0.257680 | − | 0.859263i | ||||
\(351\) | 13.1672 | + | 7.22348i | 0.702813 | + | 0.385561i | ||||
\(352\) | 25.2580 | + | 36.3808i | 1.34625 | + | 1.93910i | ||||
\(353\) | 21.6057 | 1.14995 | 0.574977 | − | 0.818170i | \(-0.305011\pi\) | ||||
0.574977 | + | 0.818170i | \(0.305011\pi\) | |||||||
\(354\) | −3.98525 | + | 1.02450i | −0.211813 | + | 0.0544514i | ||||
\(355\) | 3.35182 | − | 22.8458i | 0.177896 | − | 1.21253i | ||||
\(356\) | −35.0724 | + | 11.3957i | −1.85883 | + | 0.603972i | ||||
\(357\) | 9.20828 | + | 0.576594i | 0.487354 | + | 0.0305166i | ||||
\(358\) | −39.9203 | + | 29.0038i | −2.10985 | + | 1.53290i | ||||
\(359\) | 6.93292 | + | 21.3373i | 0.365906 | + | 1.12614i | 0.949412 | + | 0.314033i | \(0.101680\pi\) |
−0.583507 | + | 0.812108i | \(0.698320\pi\) | |||||||
\(360\) | −53.3543 | + | 2.31772i | −2.81202 | + | 0.122155i | ||||
\(361\) | −10.7918 | − | 7.84069i | −0.567989 | − | 0.412668i | ||||
\(362\) | 29.2819i | 1.53902i | ||||||||
\(363\) | −18.6391 | + | 3.94786i | −0.978297 | + | 0.207209i | ||||
\(364\) | 18.3513 | 0.961870 | ||||||||
\(365\) | −1.54499 | + | 3.11966i | −0.0808684 | + | 0.163290i | ||||
\(366\) | −3.69357 | − | 5.81632i | −0.193066 | − | 0.304024i | ||||
\(367\) | 11.7700 | − | 3.82430i | 0.614388 | − | 0.199627i | 0.0147407 | − | 0.999891i | \(-0.495308\pi\) |
0.599647 | + | 0.800265i | \(0.295308\pi\) | |||||||
\(368\) | 47.7029 | − | 34.6582i | 2.48669 | − | 1.80668i | ||||
\(369\) | 20.4213 | + | 19.1541i | 1.06309 | + | 0.997123i | ||||
\(370\) | 24.3425 | − | 12.7549i | 1.26551 | − | 0.663094i | ||||
\(371\) | −1.55149 | + | 4.77500i | −0.0805494 | + | 0.247906i | ||||
\(372\) | −34.3496 | + | 8.83034i | −1.78094 | + | 0.457832i | ||||
\(373\) | 10.9272 | 0.565788 | 0.282894 | − | 0.959151i | \(-0.408706\pi\) | ||||
0.282894 | + | 0.959151i | \(0.408706\pi\) | |||||||
\(374\) | 30.2975 | − | 21.0345i | 1.56665 | − | 1.08767i | ||||
\(375\) | 19.0330 | + | 3.56979i | 0.982862 | + | 0.184343i | ||||
\(376\) | 23.2783 | − | 32.0398i | 1.20049 | − | 1.65233i | ||||
\(377\) | −2.66031 | + | 8.18760i | −0.137013 | + | 0.421683i | ||||
\(378\) | −17.1350 | − | 3.25287i | −0.881328 | − | 0.167310i | ||||
\(379\) | −2.19362 | + | 1.59376i | −0.112678 | + | 0.0818657i | −0.642697 | − | 0.766120i | \(-0.722185\pi\) |
0.530019 | + | 0.847986i | \(0.322185\pi\) | |||||||
\(380\) | 18.6211 | − | 19.0508i | 0.955244 | − | 0.977283i | ||||
\(381\) | −3.81946 | − | 1.51092i | −0.195677 | − | 0.0774068i | ||||
\(382\) | −12.5467 | + | 38.6149i | −0.641947 | + | 1.97571i | ||||
\(383\) | 1.41644 | + | 1.02911i | 0.0723768 | + | 0.0525848i | 0.623385 | − | 0.781915i | \(-0.285757\pi\) |
−0.551008 | + | 0.834500i | \(0.685757\pi\) | |||||||
\(384\) | 11.1006 | + | 9.17767i | 0.566475 | + | 0.468346i | ||||
\(385\) | −1.37765 | − | 9.30209i | −0.0702114 | − | 0.474078i | ||||
\(386\) | 26.7831i | 1.36322i | ||||||||
\(387\) | −0.496071 | + | 1.05583i | −0.0252167 | + | 0.0536708i | ||||
\(388\) | 45.5305 | + | 14.7937i | 2.31146 | + | 0.751039i | ||||
\(389\) | −0.426827 | + | 0.138685i | −0.0216410 | + | 0.00703159i | −0.319817 | − | 0.947479i | \(-0.603622\pi\) |
0.298176 | + | 0.954511i | \(0.403622\pi\) | |||||||
\(390\) | 3.13363 | + | 29.4663i | 0.158678 | + | 1.49208i | ||||
\(391\) | −13.1653 | − | 18.1205i | −0.665800 | − | 0.916395i | ||||
\(392\) | 40.8270 | − | 13.2655i | 2.06208 | − | 0.670009i | ||||
\(393\) | −7.09507 | − | 11.1727i | −0.357899 | − | 0.563589i | ||||
\(394\) | 34.0465 | + | 24.7363i | 1.71524 | + | 1.24619i | ||||
\(395\) | −25.1124 | + | 4.27151i | −1.26354 | + | 0.214923i | ||||
\(396\) | −44.1515 | + | 23.0866i | −2.21870 | + | 1.16015i | ||||
\(397\) | − | 26.5824i | − | 1.33413i | −0.744999 | − | 0.667066i | \(-0.767550\pi\) | ||
0.744999 | − | 0.667066i | \(-0.232450\pi\) | |||||||
\(398\) | −1.52867 | + | 2.10403i | −0.0766253 | + | 0.105466i | ||||
\(399\) | 4.41096 | − | 2.80111i | 0.220824 | − | 0.140231i | ||||
\(400\) | −33.5145 | − | 43.9832i | −1.67572 | − | 2.19916i | ||||
\(401\) | 16.5772 | + | 22.8166i | 0.827827 | + | 1.13941i | 0.988323 | + | 0.152370i | \(0.0486906\pi\) |
−0.160496 | + | 0.987036i | \(0.551309\pi\) | |||||||
\(402\) | 3.42943 | − | 54.7684i | 0.171044 | − | 2.73160i | ||||
\(403\) | 3.65232 | + | 11.2407i | 0.181935 | + | 0.559939i | ||||
\(404\) | 4.14121 | − | 12.7453i | 0.206033 | − | 0.634104i | ||||
\(405\) | 1.64150 | − | 20.0576i | 0.0815670 | − | 0.996668i | ||||
\(406\) | − | 9.99763i | − | 0.496174i | ||||||
\(407\) | 9.31611 | − | 12.2606i | 0.461782 | − | 0.607735i | ||||
\(408\) | 36.9116 | − | 44.6454i | 1.82739 | − | 2.21028i | ||||
\(409\) | 22.5197 | − | 30.9958i | 1.11353 | − | 1.53264i | 0.297419 | − | 0.954747i | \(-0.403874\pi\) |
0.816111 | − | 0.577895i | \(-0.196126\pi\) | |||||||
\(410\) | −8.01910 | + | 54.6577i | −0.396035 | + | 2.69935i | ||||
\(411\) | −18.7835 | − | 7.43048i | −0.926523 | − | 0.366519i | ||||
\(412\) | −48.4027 | − | 66.6206i | −2.38463 | − | 3.28216i | ||||
\(413\) | −0.668869 | − | 0.920619i | −0.0329129 | − | 0.0453007i | ||||
\(414\) | 20.4197 | + | 37.0912i | 1.00358 | + | 1.82294i | ||||
\(415\) | −0.933996 | + | 6.36605i | −0.0458481 | + | 0.312497i | ||||
\(416\) | 22.6862 | − | 31.2249i | 1.11228 | − | 1.53093i | ||||
\(417\) | 0.169707 | + | 0.140309i | 0.00831058 | + | 0.00687096i | ||||
\(418\) | 6.87954 | − | 19.7231i | 0.336489 | − | 0.964689i | ||||
\(419\) | − | 7.65399i | − | 0.373922i | −0.982367 | − | 0.186961i | \(-0.940136\pi\) | ||
0.982367 | − | 0.186961i | \(-0.0598638\pi\) | |||||||
\(420\) | −10.0295 | − | 22.4524i | −0.489390 | − | 1.09556i | ||||
\(421\) | −4.95043 | + | 15.2359i | −0.241269 | + | 0.742551i | 0.754958 | + | 0.655773i | \(0.227657\pi\) |
−0.996228 | + | 0.0867779i | \(0.972343\pi\) | |||||||
\(422\) | −14.4340 | − | 44.4234i | −0.702637 | − | 2.16249i | ||||
\(423\) | 10.8851 | + | 10.2096i | 0.529251 | + | 0.496410i | ||||
\(424\) | 18.5288 | + | 25.5027i | 0.899838 | + | 1.23852i | ||||
\(425\) | −16.7076 | + | 12.7309i | −0.810436 | + | 0.617539i | ||||
\(426\) | −25.3812 | − | 39.9682i | −1.22972 | − | 1.93647i | ||||
\(427\) | 1.11998 | − | 1.54152i | 0.0541995 | − | 0.0745992i | ||||
\(428\) | 58.1961i | 2.81301i | ||||||||
\(429\) | 8.59807 | + | 14.2039i | 0.415119 | + | 0.685769i | ||||
\(430\) | −2.26911 | + | 0.385967i | −0.109426 | + | 0.0186130i | ||||
\(431\) | 2.07686 | + | 1.50893i | 0.100039 | + | 0.0726825i | 0.636680 | − | 0.771128i | \(-0.280307\pi\) |
−0.536641 | + | 0.843810i | \(0.680307\pi\) | |||||||
\(432\) | −41.8560 | + | 39.3756i | −2.01380 | + | 1.89446i | ||||
\(433\) | 24.1479 | − | 7.84613i | 1.16047 | − | 0.377061i | 0.335395 | − | 0.942078i | \(-0.391130\pi\) |
0.825080 | + | 0.565016i | \(0.191130\pi\) | |||||||
\(434\) | −8.06774 | − | 11.1043i | −0.387264 | − | 0.533023i | ||||
\(435\) | 11.4713 | − | 1.21993i | 0.550005 | − | 0.0584910i | ||||
\(436\) | 34.9269 | − | 11.3485i | 1.67270 | − | 0.543492i | ||||
\(437\) | −12.0641 | − | 3.91987i | −0.577105 | − | 0.187513i | ||||
\(438\) | 1.77726 | + | 6.91347i | 0.0849209 | + | 0.330338i | ||||
\(439\) | 18.3470i | 0.875653i | 0.899059 | + | 0.437827i | \(0.144252\pi\) | ||||
−0.899059 | + | 0.437827i | \(0.855748\pi\) | |||||||
\(440\) | −52.3339 | − | 27.3312i | −2.49492 | − | 1.30297i | ||||
\(441\) | 3.04064 | + | 15.8884i | 0.144792 | + | 0.756590i | ||||
\(442\) | −26.0038 | − | 18.8928i | −1.23687 | − | 0.898641i | ||||
\(443\) | −8.14023 | + | 25.0531i | −0.386754 | + | 1.19031i | 0.548446 | + | 0.836186i | \(0.315220\pi\) |
−0.935200 | + | 0.354121i | \(0.884780\pi\) | |||||||
\(444\) | 14.8123 | − | 37.4442i | 0.702963 | − | 1.77702i | ||||
\(445\) | 11.5108 | − | 11.7764i | 0.545665 | − | 0.558254i | ||||
\(446\) | −25.2501 | + | 18.3453i | −1.19563 | + | 0.868674i | ||||
\(447\) | 25.5361 | + | 10.1017i | 1.20781 | + | 0.477793i | ||||
\(448\) | −5.18404 | + | 15.9548i | −0.244923 | + | 0.753795i | ||||
\(449\) | 6.11922 | − | 8.42238i | 0.288784 | − | 0.397477i | −0.639835 | − | 0.768512i | \(-0.720997\pi\) |
0.928619 | + | 0.371036i | \(0.120997\pi\) | |||||||
\(450\) | 34.3386 | − | 19.9381i | 1.61874 | − | 0.939890i | ||||
\(451\) | 8.93147 | + | 29.6368i | 0.420566 | + | 1.39554i | ||||
\(452\) | 16.8576 | 0.792914 | ||||||||
\(453\) | −8.65561 | − | 33.6699i | −0.406676 | − | 1.58195i | ||||
\(454\) | −8.93443 | + | 27.4974i | −0.419314 | + | 1.29051i | ||||
\(455\) | −7.25872 | + | 3.80339i | −0.340294 | + | 0.178305i | ||||
\(456\) | 2.05025 | − | 32.7428i | 0.0960118 | − | 1.53332i | ||||
\(457\) | 9.88631 | − | 7.18283i | 0.462462 | − | 0.335998i | −0.332034 | − | 0.943267i | \(-0.607735\pi\) |
0.794496 | + | 0.607269i | \(0.207735\pi\) | |||||||
\(458\) | 9.22790 | − | 2.99833i | 0.431192 | − | 0.140103i | ||||
\(459\) | 14.9573 | + | 15.8995i | 0.698147 | + | 0.742127i | ||||
\(460\) | −26.4937 | + | 53.4964i | −1.23528 | + | 2.49428i | ||||
\(461\) | 6.42353 | 0.299173 | 0.149587 | − | 0.988749i | \(-0.452206\pi\) | ||||
0.149587 | + | 0.988749i | \(0.452206\pi\) | |||||||
\(462\) | −14.5935 | − | 12.6022i | −0.678953 | − | 0.586306i | ||||
\(463\) | 2.34341i | 0.108908i | 0.998516 | + | 0.0544538i | \(0.0173418\pi\) | ||||
−0.998516 | + | 0.0544538i | \(0.982658\pi\) | |||||||
\(464\) | −26.6499 | − | 19.3623i | −1.23719 | − | 0.898872i | ||||
\(465\) | 11.7566 | − | 10.6119i | 0.545200 | − | 0.492114i | ||||
\(466\) | 6.53598 | + | 20.1157i | 0.302773 | + | 0.931840i | ||||
\(467\) | −20.4128 | + | 14.8308i | −0.944593 | + | 0.686287i | −0.949522 | − | 0.313701i | \(-0.898431\pi\) |
0.00492904 | + | 0.999988i | \(0.498431\pi\) | |||||||
\(468\) | 31.6686 | + | 29.7034i | 1.46388 | + | 1.37304i | ||||
\(469\) | 14.4330 | − | 4.68957i | 0.666455 | − | 0.216544i | ||||
\(470\) | −4.27439 | + | 29.1340i | −0.197163 | + | 1.34385i | ||||
\(471\) | 8.60332 | + | 33.4665i | 0.396420 | + | 1.54206i | ||||
\(472\) | −7.14470 | −0.328862 | ||||||||
\(473\) | −1.05939 | + | 0.735500i | −0.0487109 | + | 0.0338183i | ||||
\(474\) | −33.2819 | + | 40.2552i | −1.52869 | + | 1.84898i | ||||
\(475\) | −3.41710 | + | 11.3947i | −0.156787 | + | 0.522824i | ||||
\(476\) | 25.3681 | + | 8.24259i | 1.16274 | + | 0.377798i | ||||
\(477\) | −10.4062 | + | 5.72889i | −0.476467 | + | 0.262308i | ||||
\(478\) | 26.2835 | + | 36.1761i | 1.20218 | + | 1.65466i | ||||
\(479\) | −7.26988 | + | 5.28187i | −0.332169 | + | 0.241335i | −0.741350 | − | 0.671118i | \(-0.765814\pi\) |
0.409181 | + | 0.912453i | \(0.365814\pi\) | |||||||
\(480\) | −50.6016 | − | 10.6907i | −2.30964 | − | 0.487963i | ||||
\(481\) | −12.7623 | − | 4.14673i | −0.581912 | − | 0.189075i | ||||
\(482\) | 21.1748 | + | 15.3844i | 0.964485 | + | 0.700739i | ||||
\(483\) | −7.46106 | + | 9.02432i | −0.339490 | + | 0.410621i | ||||
\(484\) | −55.0309 | − | 2.36243i | −2.50140 | − | 0.107383i | ||||
\(485\) | −21.0753 | + | 3.58483i | −0.956980 | + | 0.162779i | ||||
\(486\) | −24.3044 | − | 33.3481i | −1.10247 | − | 1.51270i | ||||
\(487\) | −7.13443 | − | 2.31812i | −0.323292 | − | 0.105044i | 0.142875 | − | 0.989741i | \(-0.454365\pi\) |
−0.466167 | + | 0.884697i | \(0.654365\pi\) | |||||||
\(488\) | −3.69687 | − | 11.3778i | −0.167349 | − | 0.515049i | ||||
\(489\) | 1.22076 | + | 0.0764403i | 0.0552047 | + | 0.00345675i | ||||
\(490\) | −22.3105 | + | 22.8252i | −1.00788 | + | 1.03114i | ||||
\(491\) | −10.2006 | − | 31.3941i | −0.460345 | − | 1.41680i | −0.864744 | − | 0.502214i | \(-0.832519\pi\) |
0.404399 | − | 0.914583i | \(-0.367481\pi\) | |||||||
\(492\) | 43.3924 | + | 68.3306i | 1.95628 | + | 3.08058i | ||||
\(493\) | −7.35501 | + | 10.1233i | −0.331253 | + | 0.455930i | ||||
\(494\) | −18.2035 | −0.819012 | ||||||||
\(495\) | 12.6790 | − | 18.2823i | 0.569878 | − | 0.821729i | ||||
\(496\) | −45.2246 | −2.03064 | ||||||||
\(497\) | 7.69618 | − | 10.5929i | 0.345221 | − | 0.475156i | ||||
\(498\) | 7.07256 | + | 11.1373i | 0.316929 | + | 0.499073i | ||||
\(499\) | 0.343219 | + | 1.05632i | 0.0153646 | + | 0.0472873i | 0.958445 | − | 0.285278i | \(-0.0920859\pi\) |
−0.943080 | + | 0.332565i | \(0.892086\pi\) | |||||||
\(500\) | 50.7228 | + | 23.6954i | 2.26839 | + | 1.05969i | ||||
\(501\) | 5.53209 | + | 0.346403i | 0.247156 | + | 0.0154761i | ||||
\(502\) | −5.24411 | − | 16.1397i | −0.234056 | − | 0.720351i | ||||
\(503\) | −21.9129 | − | 7.11992i | −0.977046 | − | 0.317461i | −0.223389 | − | 0.974729i | \(-0.571712\pi\) |
−0.753657 | + | 0.657268i | \(0.771712\pi\) | |||||||
\(504\) | −27.4089 | − | 12.8778i | −1.22089 | − | 0.573622i | ||||
\(505\) | 1.00350 | + | 5.89960i | 0.0446551 | + | 0.262529i | ||||
\(506\) | −1.00405 | + | 46.7985i | −0.0446355 | + | 2.08045i | ||||
\(507\) | −5.12776 | + | 6.20214i | −0.227732 | + | 0.275447i | ||||
\(508\) | −9.60689 | − | 6.97981i | −0.426237 | − | 0.309679i | ||||
\(509\) | −10.6093 | − | 3.44718i | −0.470251 | − | 0.152794i | 0.0642991 | − | 0.997931i | \(-0.479519\pi\) |
−0.534550 | + | 0.845137i | \(0.679519\pi\) | |||||||
\(510\) | −8.90313 | + | 42.1404i | −0.394237 | + | 1.86601i | ||||
\(511\) | −1.59706 | + | 1.16033i | −0.0706497 | + | 0.0513300i | ||||
\(512\) | −16.6966 | − | 22.9809i | −0.737892 | − | 1.01562i | ||||
\(513\) | 12.1458 | + | 2.30574i | 0.536250 | + | 0.101801i | ||||
\(514\) | −18.2779 | − | 5.93887i | −0.806206 | − | 0.261952i | ||||
\(515\) | 32.9527 | + | 16.3196i | 1.45207 | + | 0.719128i | ||||
\(516\) | −2.14898 | + | 2.59924i | −0.0946036 | + | 0.114425i | ||||
\(517\) | 4.76071 | + | 15.7972i | 0.209376 | + | 0.694760i | ||||
\(518\) | 15.5837 | 0.684707 | ||||||||
\(519\) | −7.25879 | − | 28.2364i | −0.318625 | − | 1.23944i | ||||
\(520\) | −7.46879 | + | 50.9068i | −0.327528 | + | 2.23241i | ||||
\(521\) | 38.1813 | − | 12.4059i | 1.67275 | − | 0.543510i | 0.689269 | − | 0.724506i | \(-0.257932\pi\) |
0.983484 | + | 0.180995i | \(0.0579319\pi\) | |||||||
\(522\) | 16.1822 | − | 17.2527i | 0.708274 | − | 0.755132i | ||||
\(523\) | −25.4865 | + | 18.5170i | −1.11445 | + | 0.809692i | −0.983358 | − | 0.181678i | \(-0.941847\pi\) |
−0.131088 | + | 0.991371i | \(0.541847\pi\) | |||||||
\(524\) | −11.8240 | − | 36.3906i | −0.516534 | − | 1.58973i | ||||
\(525\) | 8.62044 | + | 6.80221i | 0.376227 | + | 0.296873i | ||||
\(526\) | 61.4929 | + | 44.6772i | 2.68122 | + | 1.94802i | ||||
\(527\) | 17.1791i | 0.748334i | ||||||||
\(528\) | −61.8558 | + | 14.4944i | −2.69193 | + | 0.630787i | ||||
\(529\) | 5.42586 | 0.235907 | ||||||||
\(530\) | −21.0034 | − | 10.4018i | −0.912328 | − | 0.451825i | ||||
\(531\) | 0.335858 | − | 2.67133i | 0.0145750 | − | 0.115926i | ||||
\(532\) | 14.3669 | − | 4.66808i | 0.622883 | − | 0.202387i | ||||
\(533\) | 21.8229 | − | 15.8553i | 0.945254 | − | 0.686767i | ||||
\(534\) | 2.11022 | − | 33.7004i | 0.0913181 | − | 1.45836i | ||||
\(535\) | −12.0614 | − | 23.0190i | −0.521459 | − | 0.995199i | ||||
\(536\) | 29.4439 | − | 90.6189i | 1.27178 | − | 3.91414i | ||||
\(537\) | −8.03854 | − | 31.2695i | −0.346888 | − | 1.34938i | ||||
\(538\) | 13.9541 | 0.601602 | ||||||||
\(539\) | −5.89003 | + | 16.8863i | −0.253702 | + | 0.727343i | ||||
\(540\) | 19.0336 | − | 54.9794i | 0.819078 | − | 2.36594i | ||||
\(541\) | 18.4490 | − | 25.3929i | 0.793185 | − | 1.09173i | −0.200519 | − | 0.979690i | \(-0.564263\pi\) |
0.993704 | − | 0.112036i | \(-0.0357371\pi\) | |||||||
\(542\) | 23.3888 | − | 71.9832i | 1.00463 | − | 3.09194i | ||||
\(543\) | −17.8160 | − | 7.04774i | −0.764558 | − | 0.302448i | ||||
\(544\) | 45.3853 | − | 32.9744i | 1.94588 | − | 1.41376i | ||||
\(545\) | −11.4631 | + | 11.7276i | −0.491024 | + | 0.502353i | ||||
\(546\) | −6.18105 | + | 15.6251i | −0.264525 | + | 0.668692i | ||||
\(547\) | 0.547043 | − | 1.68363i | 0.0233899 | − | 0.0719867i | −0.938680 | − | 0.344789i | \(-0.887950\pi\) |
0.962070 | + | 0.272802i | \(0.0879505\pi\) | |||||||
\(548\) | −47.2453 | − | 34.3257i | −2.01822 | − | 1.46632i | ||||
\(549\) | 4.42782 | − | 0.847374i | 0.188975 | − | 0.0361651i | ||||
\(550\) | 43.8980 | − | 0.0595386i | 1.87182 | − | 0.00253873i | ||||
\(551\) | 7.08663i | 0.301900i | ||||||||
\(552\) | 18.3041 | + | 71.2022i | 0.779076 | + | 3.03057i | ||||
\(553\) | −13.7377 | − | 4.46364i | −0.584185 | − | 0.189813i | ||||
\(554\) | −64.5291 | + | 20.9668i | −2.74158 | + | 0.890793i | ||||
\(555\) | 1.90155 | + | 17.8807i | 0.0807161 | + | 0.758992i | ||||
\(556\) | 0.374183 | + | 0.515019i | 0.0158689 | + | 0.0218417i | ||||
\(557\) | −40.1298 | + | 13.0390i | −1.70036 | + | 0.552479i | −0.988681 | − | 0.150030i | \(-0.952063\pi\) |
−0.711674 | + | 0.702509i | \(0.752063\pi\) | |||||||
\(558\) | 4.05104 | − | 32.2210i | 0.171494 | − | 1.36402i | ||||
\(559\) | 0.909256 | + | 0.660613i | 0.0384574 | + | 0.0279410i | ||||
\(560\) | −5.25808 | − | 30.9124i | −0.222194 | − | 1.30629i | ||||
\(561\) | 5.50587 | + | 23.4967i | 0.232458 | + | 0.992031i | ||||
\(562\) | 47.5129i | 2.00421i | ||||||||
\(563\) | −23.0999 | + | 31.7943i | −0.973544 | + | 1.33997i | −0.0333085 | + | 0.999445i | \(0.510604\pi\) |
−0.940236 | + | 0.340524i | \(0.889396\pi\) | |||||||
\(564\) | 23.1293 | + | 36.4220i | 0.973917 | + | 1.53364i | ||||
\(565\) | −6.66789 | + | 3.49380i | −0.280520 | + | 0.146985i | ||||
\(566\) | −19.6073 | − | 26.9872i | −0.824158 | − | 1.13436i | ||||
\(567\) | 6.10330 | − | 9.64253i | 0.256315 | − | 0.404948i | ||||
\(568\) | −25.4039 | − | 78.1852i | −1.06592 | − | 3.28058i | ||||
\(569\) | −7.10963 | + | 21.8812i | −0.298051 | + | 0.917308i | 0.684128 | + | 0.729362i | \(0.260183\pi\) |
−0.982179 | + | 0.187946i | \(0.939817\pi\) | |||||||
\(570\) | 9.94870 | + | 22.2715i | 0.416705 | + | 0.932849i | ||||
\(571\) | − | 29.8090i | − | 1.24747i | −0.781637 | − | 0.623734i | \(-0.785615\pi\) | ||
0.781637 | − | 0.623734i | \(-0.214385\pi\) | |||||||
\(572\) | 13.8506 | + | 45.9596i | 0.579122 | + | 1.92167i | ||||
\(573\) | −20.4747 | − | 16.9279i | −0.855342 | − | 0.707173i | ||||
\(574\) | −18.4128 | + | 25.3430i | −0.768536 | + | 1.05780i | ||||
\(575\) | −0.607955 | − | 26.6510i | −0.0253535 | − | 1.11142i | ||||
\(576\) | −34.7705 | + | 19.1421i | −1.44877 | + | 0.797588i | ||||
\(577\) | −19.9962 | − | 27.5225i | −0.832454 | − | 1.14578i | −0.987461 | − | 0.157862i | \(-0.949540\pi\) |
0.155007 | − | 0.987913i | \(-0.450460\pi\) | |||||||
\(578\) | −1.00941 | − | 1.38934i | −0.0419861 | − | 0.0577889i | ||||
\(579\) | −16.2956 | − | 6.44631i | −0.677224 | − | 0.267900i | ||||
\(580\) | 32.9975 | + | 4.84124i | 1.37015 | + | 0.201021i | ||||
\(581\) | −2.14457 | + | 2.95174i | −0.0889716 | + | 0.122459i | ||||
\(582\) | −27.9315 | + | 33.7838i | −1.15780 | + | 1.40038i | ||||
\(583\) | −13.1296 | − | 0.281693i | −0.543774 | − | 0.0116665i | ||||
\(584\) | 12.3944i | 0.512883i | ||||||||
\(585\) | −18.6824 | − | 5.18553i | −0.772423 | − | 0.214395i | ||||
\(586\) | 14.0530 | − | 43.2508i | 0.580525 | − | 1.78667i | ||||
\(587\) | 1.54634 | + | 4.75916i | 0.0638245 | + | 0.196431i | 0.977884 | − | 0.209149i | \(-0.0670694\pi\) |
−0.914059 | + | 0.405581i | \(0.867069\pi\) | |||||||
\(588\) | −2.92271 | + | 46.6760i | −0.120530 | + | 1.92489i | ||||
\(589\) | 5.71866 | + | 7.87107i | 0.235633 | + | 0.324322i | ||||
\(590\) | 4.70541 | − | 2.46551i | 0.193719 | − | 0.101504i | ||||
\(591\) | −23.2448 | + | 14.7613i | −0.956165 | + | 0.607198i | ||||
\(592\) | 30.1807 | − | 41.5402i | 1.24042 | − | 1.70729i | ||||
\(593\) | 1.16438i | 0.0478152i | 0.999714 | + | 0.0239076i | \(0.00761075\pi\) | ||||
−0.999714 | + | 0.0239076i | \(0.992389\pi\) | |||||||
\(594\) | −4.78595 | − | 45.3685i | −0.196370 | − | 1.86149i | ||||
\(595\) | −11.7425 | + | 1.99735i | −0.481394 | + | 0.0818832i | ||||
\(596\) | 64.2296 | + | 46.6655i | 2.63095 | + | 1.91149i | ||||
\(597\) | −0.912229 | − | 1.43650i | −0.0373350 | − | 0.0587921i | ||||
\(598\) | 38.7958 | − | 12.6055i | 1.58648 | − | 0.515478i | ||||
\(599\) | 15.8861 | + | 21.8654i | 0.649090 | + | 0.893395i | 0.999059 | − | 0.0433657i | \(-0.0138081\pi\) |
−0.349970 | + | 0.936761i | \(0.613808\pi\) | |||||||
\(600\) | 66.3651 | − | 18.6841i | 2.70934 | − | 0.762775i | ||||
\(601\) | −39.0846 | + | 12.6994i | −1.59430 | + | 0.518018i | −0.965688 | − | 0.259704i | \(-0.916375\pi\) |
−0.628608 | + | 0.777722i | \(0.716375\pi\) | |||||||
\(602\) | −1.24131 | − | 0.403327i | −0.0505921 | − | 0.0164384i | ||||
\(603\) | 32.4974 | + | 15.2686i | 1.32340 | + | 0.621784i | ||||
\(604\) | − | 100.506i | − | 4.08952i | ||||||
\(605\) | 22.2567 | − | 10.4709i | 0.904862 | − | 0.425704i | ||||
\(606\) | 9.45709 | + | 7.81886i | 0.384168 | + | 0.317620i | ||||
\(607\) | 30.8181 | + | 22.3906i | 1.25087 | + | 0.908808i | 0.998272 | − | 0.0587642i | \(-0.0187160\pi\) |
0.252595 | + | 0.967572i | \(0.418716\pi\) | |||||||
\(608\) | 9.81783 | − | 30.2162i | 0.398165 | − | 1.22543i | ||||
\(609\) | 6.08287 | + | 2.40629i | 0.246490 | + | 0.0975078i | ||||
\(610\) | 6.36100 | + | 6.21755i | 0.257549 | + | 0.251741i | ||||
\(611\) | 11.6322 | − | 8.45127i | 0.470587 | − | 0.341902i | ||||
\(612\) | 30.4358 | + | 55.2848i | 1.23029 | + | 2.23476i | ||||
\(613\) | 1.95042 | − | 6.00277i | 0.0787767 | − | 0.242450i | −0.903911 | − | 0.427721i | \(-0.859316\pi\) |
0.982687 | + | 0.185272i | \(0.0593165\pi\) | |||||||
\(614\) | 41.7666 | − | 57.4868i | 1.68556 | − | 2.31998i | ||||
\(615\) | −31.3253 | − | 18.0344i | −1.26316 | − | 0.727218i | ||||
\(616\) | −19.0933 | − | 27.5014i | −0.769289 | − | 1.10806i | ||||
\(617\) | −44.9142 | −1.80818 | −0.904089 | − | 0.427344i | \(-0.859449\pi\) | ||||
−0.904089 | + | 0.427344i | \(0.859449\pi\) | |||||||
\(618\) | 73.0266 | − | 18.7731i | 2.93756 | − | 0.755166i | ||||
\(619\) | 9.37853 | − | 28.8642i | 0.376955 | − | 1.16015i | −0.565195 | − | 0.824957i | \(-0.691199\pi\) |
0.942150 | − | 0.335191i | \(-0.108801\pi\) | |||||||
\(620\) | 40.5568 | − | 21.2508i | 1.62880 | − | 0.853451i | ||||
\(621\) | −27.4822 | + | 3.49665i | −1.10282 | + | 0.140316i | ||||
\(622\) | 20.1884 | − | 14.6677i | 0.809482 | − | 0.588123i | ||||
\(623\) | 8.88101 | − | 2.88562i | 0.355810 | − | 0.115610i | ||||
\(624\) | 29.6798 | + | 46.7373i | 1.18814 | + | 1.87099i | ||||
\(625\) | −24.9740 | + | 1.13999i | −0.998960 | + | 0.0455997i | ||||
\(626\) | 69.8083 | 2.79010 | ||||||||
\(627\) | 10.3443 | + | 8.93281i | 0.413113 | + | 0.356742i | ||||
\(628\) | 99.8987i | 3.98639i | ||||||||
\(629\) | −15.7796 | − | 11.4645i | −0.629172 | − | 0.457120i | ||||
\(630\) | 22.4950 | − | 0.977188i | 0.896223 | − | 0.0389321i | ||||
\(631\) | −0.0379658 | − | 0.116847i | −0.00151140 | − | 0.00465160i | 0.950298 | − | 0.311342i | \(-0.100778\pi\) |
−0.951809 | + | 0.306690i | \(0.900778\pi\) | |||||||
\(632\) | −73.3712 | + | 53.3073i | −2.91855 | + | 2.12045i | ||||
\(633\) | 30.5026 | + | 1.90998i | 1.21237 | + | 0.0759149i | ||||
\(634\) | 9.54509 | − | 3.10139i | 0.379084 | − | 0.123172i | ||||
\(635\) | 5.24653 | + | 0.769745i | 0.208202 | + | 0.0305464i | ||||
\(636\) | −33.2609 | + | 8.55047i | −1.31888 | + | 0.339048i | ||||
\(637\) | 15.5852 | 0.617508 | ||||||||
\(638\) | 25.0384 | − | 7.54567i | 0.991279 | − | 0.298736i | ||||
\(639\) | 30.4268 | − | 5.82293i | 1.20367 | − | 0.230352i | ||||
\(640\) | −16.6630 | − | 8.25224i | −0.658663 | − | 0.326198i | ||||
\(641\) | −31.7251 | − | 10.3081i | −1.25306 | − | 0.407145i | −0.394046 | − | 0.919091i | \(-0.628925\pi\) |
−0.859018 | + | 0.511945i | \(0.828925\pi\) | |||||||
\(642\) | −49.5506 | − | 19.6015i | −1.95561 | − | 0.773609i | ||||
\(643\) | −10.2696 | − | 14.1349i | −0.404993 | − | 0.557425i | 0.556995 | − | 0.830516i | \(-0.311954\pi\) |
−0.961988 | + | 0.273090i | \(0.911954\pi\) | |||||||
\(644\) | −27.3866 | + | 19.8976i | −1.07918 | + | 0.784073i | ||||
\(645\) | 0.311310 | − | 1.47349i | 0.0122578 | − | 0.0580188i | ||||
\(646\) | −25.1637 | − | 8.17618i | −0.990052 | − | 0.321687i | ||||
\(647\) | 28.9109 | + | 21.0050i | 1.13660 | + | 0.825792i | 0.986643 | − | 0.162900i | \(-0.0520848\pi\) |
0.149962 | + | 0.988692i | \(0.452085\pi\) | |||||||
\(648\) | −26.4550 | − | 66.5869i | −1.03925 | − | 2.61578i | ||||
\(649\) | 1.80080 | − | 2.36997i | 0.0706876 | − | 0.0930295i | ||||
\(650\) | −12.6482 | − | 36.1039i | −0.496104 | − | 1.41611i | ||||
\(651\) | 8.69799 | − | 2.23601i | 0.340901 | − | 0.0876363i | ||||
\(652\) | 3.36310 | + | 1.09274i | 0.131709 | + | 0.0427949i | ||||
\(653\) | 1.18766 | + | 3.65525i | 0.0464768 | + | 0.143041i | 0.971602 | − | 0.236622i | \(-0.0760402\pi\) |
−0.925125 | + | 0.379662i | \(0.876040\pi\) | |||||||
\(654\) | −2.10147 | + | 33.5607i | −0.0821738 | + | 1.31233i | ||||
\(655\) | 12.2190 | + | 11.9434i | 0.477436 | + | 0.466669i | ||||
\(656\) | 31.8951 | + | 98.1632i | 1.24530 | + | 3.83263i | ||||
\(657\) | −4.63413 | − | 0.582635i | −0.180795 | − | 0.0227307i | ||||
\(658\) | −9.81451 | + | 13.5085i | −0.382609 | + | 0.526616i | ||||
\(659\) | −7.60622 | −0.296296 | −0.148148 | − | 0.988965i | \(-0.547331\pi\) | ||||
−0.148148 | + | 0.988965i | \(0.547331\pi\) | |||||||
\(660\) | 48.6607 | − | 42.0640i | 1.89411 | − | 1.63734i | ||||
\(661\) | 38.8200 | 1.50992 | 0.754962 | − | 0.655769i | \(-0.227655\pi\) | ||||
0.754962 | + | 0.655769i | \(0.227655\pi\) | |||||||
\(662\) | 15.4763 | − | 21.3013i | 0.601503 | − | 0.827898i | ||||
\(663\) | 17.7537 | − | 11.2743i | 0.689498 | − | 0.437856i | ||||
\(664\) | 7.07888 | + | 21.7866i | 0.274714 | + | 0.845482i | ||||
\(665\) | −4.71523 | + | 4.82402i | −0.182849 | + | 0.187068i | ||||
\(666\) | 26.8925 | + | 25.2237i | 1.04206 | + | 0.977400i | ||||
\(667\) | −4.90735 | − | 15.1033i | −0.190013 | − | 0.584800i | ||||
\(668\) | 15.2405 | + | 4.95193i | 0.589672 | + | 0.191596i | ||||
\(669\) | −5.08448 | − | 19.7784i | −0.196577 | − | 0.764677i | ||||
\(670\) | 11.8797 | + | 69.8411i | 0.458952 | + | 2.69820i | ||||
\(671\) | 4.70592 | + | 1.64145i | 0.181670 | + | 0.0633676i | ||||
\(672\) | −22.6026 | − | 18.6872i | −0.871915 | − | 0.720875i | ||||
\(673\) | −7.41375 | − | 5.38640i | −0.285779 | − | 0.207631i | 0.435655 | − | 0.900114i | \(-0.356517\pi\) |
−0.721434 | + | 0.692483i | \(0.756517\pi\) | |||||||
\(674\) | −53.9895 | − | 17.5423i | −2.07960 | − | 0.675702i | ||||
\(675\) | 3.86610 | + | 25.6915i | 0.148806 | + | 0.988866i | ||||
\(676\) | −18.8220 | + | 13.6750i | −0.723923 | + | 0.525961i | ||||
\(677\) | 15.0828 | + | 20.7597i | 0.579678 | + | 0.797859i | 0.993660 | − | 0.112426i | \(-0.0358623\pi\) |
−0.413982 | + | 0.910285i | \(0.635862\pi\) | |||||||
\(678\) | −5.67794 | + | 14.3533i | −0.218060 | + | 0.551234i | ||||
\(679\) | −11.5292 | − | 3.74606i | −0.442450 | − | 0.143761i | ||||
\(680\) | −33.1896 | + | 67.0167i | −1.27276 | + | 2.56997i | ||||
\(681\) | −14.5798 | − | 12.0542i | −0.558701 | − | 0.461919i | ||||
\(682\) | 21.7209 | − | 28.5860i | 0.831734 | − | 1.09462i | ||||
\(683\) | 3.43032 | 0.131258 | 0.0656288 | − | 0.997844i | \(-0.479095\pi\) | ||||
0.0656288 | + | 0.997844i | \(0.479095\pi\) | |||||||
\(684\) | 32.3485 | + | 15.1986i | 1.23687 | + | 0.581133i | ||||
\(685\) | 25.8017 | + | 3.78549i | 0.985830 | + | 0.144636i | ||||
\(686\) | −39.5590 | + | 12.8535i | −1.51037 | + | 0.490749i | ||||
\(687\) | −0.396753 | + | 6.33620i | −0.0151371 | + | 0.241741i | ||||
\(688\) | −3.47915 | + | 2.52775i | −0.132642 | + | 0.0963697i | ||||
\(689\) | 3.53656 | + | 10.8844i | 0.134732 | + | 0.414664i | ||||
\(690\) | −36.6255 | − | 40.5764i | −1.39431 | − | 1.54472i | ||||
\(691\) | 4.50966 | + | 3.27646i | 0.171556 | + | 0.124643i | 0.670250 | − | 0.742135i | \(-0.266187\pi\) |
−0.498694 | + | 0.866778i | \(0.666187\pi\) | |||||||
\(692\) | − | 84.2864i | − | 3.20409i | ||||||
\(693\) | 11.1800 | − | 5.84599i | 0.424694 | − | 0.222071i | ||||
\(694\) | −15.9679 | −0.606134 | ||||||||
\(695\) | −0.254745 | − | 0.126161i | −0.00966303 | − | 0.00478555i | ||||
\(696\) | 34.6713 | − | 22.0175i | 1.31421 | − | 0.834571i | ||||
\(697\) | 37.2885 | − | 12.1158i | 1.41240 | − | 0.458917i | ||||
\(698\) | 9.29321 | − | 6.75191i | 0.351753 | − | 0.255564i | ||||
\(699\) | −13.8121 | − | 0.864872i | −0.522422 | − | 0.0327125i | ||||
\(700\) | 19.2409 | + | 25.2511i | 0.727239 | + | 0.954403i | ||||
\(701\) | 12.8349 | − | 39.5018i | 0.484768 | − | 1.49196i | −0.347549 | − | 0.937662i | \(-0.612986\pi\) |
0.832317 | − | 0.554301i | \(-0.187014\pi\) | |||||||
\(702\) | −35.9573 | + | 16.9593i | −1.35712 | + | 0.640088i | ||||
\(703\) | −11.0462 | −0.416615 | ||||||||
\(704\) | −43.8704 | − | 0.941228i | −1.65343 | − | 0.0354739i | ||||
\(705\) | −16.6972 | − | 9.61281i | −0.628853 | − | 0.362039i | ||||
\(706\) | −33.6175 | + | 46.2705i | −1.26521 | + | 1.74141i | ||||
\(707\) | −1.04863 | + | 3.22737i | −0.0394380 | + | 0.121378i | ||||
\(708\) | 2.86322 | − | 7.23795i | 0.107607 | − | 0.272019i | ||||
\(709\) | −25.1126 | + | 18.2454i | −0.943124 | + | 0.685220i | −0.949171 | − | 0.314762i | \(-0.898075\pi\) |
0.00604667 | + | 0.999982i | \(0.498075\pi\) | |||||||
\(710\) | 43.7111 | + | 42.7253i | 1.64045 | + | 1.60345i | ||||
\(711\) | −16.4820 | − | 29.9386i | −0.618124 | − | 1.12279i | ||||
\(712\) | 18.1176 | − | 55.7602i | 0.678985 | − | 2.08970i | ||||
\(713\) | −17.6384 | − | 12.8150i | −0.660562 | − | 0.479926i | ||||
\(714\) | −15.5625 | + | 18.8232i | −0.582412 | + | 0.704441i | ||||
\(715\) | −15.0038 | − | 15.3084i | −0.561111 | − | 0.572501i | ||||
\(716\) | − | 93.3406i | − | 3.48830i | ||||||
\(717\) | −28.3368 | + | 7.28460i | −1.05826 | + | 0.272048i | ||||
\(718\) | −56.4832 | − | 18.3525i | −2.10793 | − | 0.684909i | ||||
\(719\) | 34.6890 | − | 11.2711i | 1.29368 | − | 0.420342i | 0.420301 | − | 0.907385i | \(-0.361924\pi\) |
0.873378 | + | 0.487043i | \(0.161924\pi\) | |||||||
\(720\) | 40.9610 | − | 61.8557i | 1.52653 | − | 2.30523i | ||||
\(721\) | 12.2565 | + | 16.8696i | 0.456456 | + | 0.628258i | ||||
\(722\) | 33.5831 | − | 10.9118i | 1.24983 | − | 0.406096i | ||||
\(723\) | −14.4568 | + | 9.18059i | −0.537655 | + | 0.341430i | ||||
\(724\) | −44.8117 | − | 32.5576i | −1.66541 | − | 1.20999i | ||||
\(725\) | −14.0553 | + | 4.92396i | −0.522000 | + | 0.182871i | ||||
\(726\) | 20.5469 | − | 46.0599i | 0.762566 | − | 1.70944i | ||||
\(727\) | − | 0.499635i | − | 0.0185304i | −0.999957 | − | 0.00926522i | \(-0.997051\pi\) | ||
0.999957 | − | 0.00926522i | \(-0.00294925\pi\) | |||||||
\(728\) | −17.1492 | + | 23.6039i | −0.635593 | + | 0.874818i | ||||
\(729\) | 26.1398 | − | 6.76115i | 0.968139 | − | 0.250413i | ||||
\(730\) | −4.27709 | − | 8.16278i | −0.158302 | − | 0.302118i | ||||
\(731\) | 0.960199 | + | 1.32160i | 0.0355142 | + | 0.0488811i | ||||
\(732\) | 13.0078 | + | 0.814509i | 0.480782 | + | 0.0301051i | ||||
\(733\) | −10.1721 | − | 31.3064i | −0.375714 | − | 1.15633i | −0.942996 | − | 0.332804i | \(-0.892005\pi\) |
0.567283 | − | 0.823523i | \(-0.307995\pi\) | |||||||
\(734\) | −10.1235 | + | 31.1569i | −0.373665 | + | 1.15002i | ||||
\(735\) | −8.51774 | − | 19.0681i | −0.314182 | − | 0.703337i | ||||
\(736\) | 71.1963i | 2.62433i | ||||||||
\(737\) | 22.6380 | + | 32.6071i | 0.833881 | + | 1.20110i | ||||
\(738\) | −72.7949 | + | 13.9311i | −2.67962 | + | 0.512812i | ||||
\(739\) | −21.6042 | + | 29.7356i | −0.794723 | + | 1.09384i | 0.198781 | + | 0.980044i | \(0.436302\pi\) |
−0.993504 | + | 0.113798i | \(0.963698\pi\) | |||||||
\(740\) | −7.54621 | + | 51.4345i | −0.277404 | + | 1.89077i | ||||
\(741\) | 4.38132 | − | 11.0755i | 0.160952 | − | 0.406870i | ||||
\(742\) | −7.81204 | − | 10.7524i | −0.286789 | − | 0.394731i | ||||
\(743\) | −12.5884 | − | 17.3265i | −0.461824 | − | 0.635647i | 0.513062 | − | 0.858352i | \(-0.328511\pi\) |
−0.974886 | + | 0.222705i | \(0.928511\pi\) | |||||||
\(744\) | 20.7418 | − | 52.4332i | 0.760431 | − | 1.92229i | ||||
\(745\) | −35.0772 | − | 5.14635i | −1.28513 | − | 0.188548i | ||||
\(746\) | −17.0022 | + | 23.4015i | −0.622495 | + | 0.856791i | ||||
\(747\) | −8.47853 | + | 1.62258i | −0.310213 | + | 0.0593670i | ||||
\(748\) | −1.49655 | + | 69.7536i | −0.0547192 | + | 2.55045i | ||||
\(749\) | − | 14.7364i | − | 0.538456i | ||||||
\(750\) | −37.2596 | + | 35.2066i | −1.36053 | + | 1.28556i | ||||
\(751\) | 2.67916 | − | 8.24561i | 0.0977640 | − | 0.300887i | −0.890200 | − | 0.455570i | \(-0.849436\pi\) |
0.987964 | + | 0.154683i | \(0.0494356\pi\) | |||||||
\(752\) | 17.0009 | + | 52.3235i | 0.619961 | + | 1.90804i | ||||
\(753\) | 11.0821 | + | 0.693927i | 0.403854 | + | 0.0252881i | ||||
\(754\) | −13.3952 | − | 18.4369i | −0.487823 | − | 0.671431i | ||||
\(755\) | 20.8302 | + | 39.7543i | 0.758090 | + | 1.44681i | ||||
\(756\) | 24.0299 | − | 22.6058i | 0.873959 | − | 0.822166i | ||||
\(757\) | −6.70715 | + | 9.23159i | −0.243775 | + | 0.335528i | −0.913319 | − | 0.407245i | \(-0.866490\pi\) |
0.669544 | + | 0.742773i | \(0.266490\pi\) | |||||||
\(758\) | − | 7.17764i | − | 0.260704i | ||||||
\(759\) | −28.2320 | − | 11.8747i | −1.02476 | − | 0.431022i | ||||
\(760\) | 7.10215 | + | 41.7538i | 0.257622 | + | 1.51457i | ||||
\(761\) | −29.2454 | − | 21.2480i | −1.06015 | − | 0.770241i | −0.0860301 | − | 0.996293i | \(-0.527418\pi\) |
−0.974115 | + | 0.226052i | \(0.927418\pi\) | |||||||
\(762\) | 9.17868 | − | 5.82879i | 0.332509 | − | 0.211155i | ||||
\(763\) | −8.84418 | + | 2.87365i | −0.320181 | + | 0.104033i | ||||
\(764\) | −45.1442 | − | 62.1357i | −1.63326 | − | 2.24799i | ||||
\(765\) | −23.4967 | − | 15.5596i | −0.849524 | − | 0.562557i | ||||
\(766\) | −4.40785 | + | 1.43220i | −0.159262 | + | 0.0517474i | ||||
\(767\) | −2.46695 | − | 0.801562i | −0.0890765 | − | 0.0289427i | ||||
\(768\) | 7.46153 | − | 1.91816i | 0.269245 | − | 0.0692155i | ||||
\(769\) | − | 19.5863i | − | 0.706298i | −0.935567 | − | 0.353149i | \(-0.885111\pi\) | ||
0.935567 | − | 0.353149i | \(-0.114889\pi\) | |||||||
\(770\) | 22.0648 | + | 11.5233i | 0.795161 | + | 0.415271i | ||||
\(771\) | 8.01264 | − | 9.69147i | 0.288568 | − | 0.349030i | ||||
\(772\) | −40.9876 | − | 29.7793i | −1.47518 | − | 1.07178i | ||||
\(773\) | 10.8649 | − | 33.4388i | 0.390784 | − | 1.20271i | −0.541412 | − | 0.840758i | \(-0.682110\pi\) |
0.932196 | − | 0.361953i | \(-0.117890\pi\) | |||||||
\(774\) | −1.48929 | − | 2.70520i | −0.0535314 | − | 0.0972366i | ||||
\(775\) | −11.6376 | + | 16.8112i | −0.418037 | + | 0.603874i | ||||
\(776\) | −61.5761 | + | 44.7377i | −2.21045 | + | 1.60599i | ||||
\(777\) | −3.75077 | + | 9.48159i | −0.134558 | + | 0.340150i | ||||
\(778\) | 0.367119 | − | 1.12988i | 0.0131619 | − | 0.0405081i | ||||
\(779\) | 13.0516 | − | 17.9639i | 0.467621 | − | 0.643625i | ||||
\(780\) | −48.5781 | − | 27.9671i | −1.73937 | − | 1.00138i | ||||
\(781\) | 32.3378 | + | 11.2796i | 1.15714 | + | 0.403617i | ||||
\(782\) | 59.2915 | 2.12026 | ||||||||
\(783\) | 6.60228 | + | 13.9982i | 0.235946 | + | 0.500256i | ||||
\(784\) | −18.4282 | + | 56.7161i | −0.658149 | + | 2.02557i | ||||
\(785\) | −20.7044 | − | 39.5142i | −0.738972 | − | 1.41032i | ||||
\(786\) | 34.9670 | + | 2.18953i | 1.24723 | + | 0.0780979i | ||||
\(787\) | −32.4786 | + | 23.5971i | −1.15774 | + | 0.841145i | −0.989490 | − | 0.144600i | \(-0.953811\pi\) |
−0.168247 | + | 0.985745i | \(0.553811\pi\) | |||||||
\(788\) | −75.7105 | + | 24.5998i | −2.69708 | + | 0.876333i | ||||
\(789\) | −41.9835 | + | 26.6610i | −1.49465 | + | 0.949157i | ||||
\(790\) | 29.9259 | − | 60.4267i | 1.06472 | − | 2.14989i | ||||
\(791\) | −4.26867 | −0.151776 | ||||||||
\(792\) | 11.5648 | − | 78.3630i | 0.410937 | − | 2.78451i | ||||
\(793\) | − | 4.34333i | − | 0.154236i | ||||||
\(794\) | 56.9286 | + | 41.3611i | 2.02032 | + | 1.46785i | ||||
\(795\) | 11.3840 | − | 10.2755i | 0.403748 | − | 0.364436i | ||||
\(796\) | −1.52024 | − | 4.67881i | −0.0538834 | − | 0.165836i | ||||
\(797\) | 18.2039 | − | 13.2259i | 0.644815 | − | 0.468486i | −0.216686 | − | 0.976241i | \(-0.569525\pi\) |
0.861501 | + | 0.507756i | \(0.169525\pi\) | |||||||
\(798\) | −0.864419 | + | 13.8049i | −0.0306001 | + | 0.488687i | ||||
\(799\) | 19.8757 | − | 6.45802i | 0.703153 | − | 0.228468i | ||||
\(800\) | 66.7510 | − | 1.52270i | 2.36001 | − | 0.0538357i | ||||
\(801\) | 19.9965 | + | 9.39515i | 0.706541 | + | 0.331961i | ||||
\(802\) | −74.6573 | −2.63624 | ||||||||
\(803\) | −4.11134 | − | 3.12397i | −0.145086 | − | 0.110242i | ||||
\(804\) | 80.0021 | + | 66.1435i | 2.82146 | + | 2.33270i | ||||
\(805\) | 6.70873 | − | 13.5463i | 0.236451 | − | 0.477445i | ||||
\(806\) | −29.7558 | − | 9.66826i | −1.04810 | − | 0.340550i | ||||
\(807\) | −3.35855 | + | 8.49008i | −0.118226 | + | 0.298865i | ||||
\(808\) | 12.5234 | + | 17.2370i | 0.440572 | + | 0.606395i | ||||
\(809\) | −27.7850 | + | 20.1870i | −0.976868 | + | 0.709736i | −0.957006 | − | 0.290067i | \(-0.906323\pi\) |
−0.0198614 | + | 0.999803i | \(0.506323\pi\) | |||||||
\(810\) | 40.4010 | + | 34.7241i | 1.41955 | + | 1.22008i | ||||
\(811\) | −17.6896 | − | 5.74769i | −0.621165 | − | 0.201829i | −0.0185076 | − | 0.999829i | \(-0.505891\pi\) |
−0.602658 | + | 0.798000i | \(0.705891\pi\) | |||||||
\(812\) | 15.2999 | + | 11.1160i | 0.536922 | + | 0.390097i | ||||
\(813\) | 38.1675 | + | 31.5558i | 1.33859 | + | 1.10671i | ||||
\(814\) | 11.7617 | + | 39.0282i | 0.412248 | + | 1.36794i | ||||
\(815\) | −1.55672 | + | 0.264792i | −0.0545296 | + | 0.00927527i | ||||
\(816\) | 20.0358 | + | 77.9385i | 0.701395 | + | 2.72839i | ||||
\(817\) | 0.879881 | + | 0.285891i | 0.0307831 | + | 0.0100020i | ||||
\(818\) | 31.3405 | + | 96.4562i | 1.09580 | + | 3.37251i | ||||
\(819\) | −8.01910 | − | 7.52149i | −0.280210 | − | 0.262822i | ||||
\(820\) | −74.7295 | − | 73.0442i | −2.60967 | − | 2.55081i | ||||
\(821\) | −3.94563 | − | 12.1434i | −0.137704 | − | 0.423808i | 0.858297 | − | 0.513153i | \(-0.171523\pi\) |
−0.996001 | + | 0.0893449i | \(0.971523\pi\) | |||||||
\(822\) | 45.1394 | − | 28.6651i | 1.57442 | − | 0.999811i | ||||
\(823\) | −10.2259 | + | 14.0748i | −0.356454 | + | 0.490616i | −0.949156 | − | 0.314805i | \(-0.898061\pi\) |
0.592703 | + | 0.805421i | \(0.298061\pi\) | |||||||
\(824\) | 130.921 | 4.56085 | ||||||||
\(825\) | −10.5294 | + | 26.7232i | −0.366587 | + | 0.930384i | ||||
\(826\) | 3.01232 | 0.104812 | ||||||||
\(827\) | 14.6554 | − | 20.1715i | 0.509620 | − | 0.701431i | −0.474235 | − | 0.880398i | \(-0.657275\pi\) |
0.983855 | + | 0.178967i | \(0.0572755\pi\) | |||||||
\(828\) | −79.4668 | − | 9.99112i | −2.76166 | − | 0.347215i | ||||
\(829\) | 13.5202 | + | 41.6109i | 0.469576 | + | 1.44521i | 0.853135 | + | 0.521691i | \(0.174698\pi\) |
−0.383558 | + | 0.923517i | \(0.625302\pi\) | |||||||
\(830\) | −12.1802 | − | 11.9055i | −0.422782 | − | 0.413248i | ||||
\(831\) | 2.77442 | − | 44.3079i | 0.0962437 | − | 1.53702i | ||||
\(832\) | 11.8168 | + | 36.3684i | 0.409674 | + | 1.26085i | ||||
\(833\) | 21.5443 | + | 7.00017i | 0.746466 | + | 0.242541i | ||||
\(834\) | −0.564541 | + | 0.145128i | −0.0195484 | + | 0.00502537i | ||||
\(835\) | −7.05457 | + | 1.19995i | −0.244133 | + | 0.0415261i | ||||
\(836\) | 22.5342 | + | 32.4577i | 0.779363 | + | 1.12257i | ||||
\(837\) | 18.6292 | + | 10.2199i | 0.643919 | + | 0.353252i | ||||
\(838\) | 16.3917 | + | 11.9093i | 0.566243 | + | 0.411399i | ||||
\(839\) | 7.05210 | + | 2.29137i | 0.243466 | + | 0.0791068i | 0.428208 | − | 0.903680i | \(-0.359145\pi\) |
−0.184742 | + | 0.982787i | \(0.559145\pi\) | |||||||
\(840\) | 38.2513 | + | 8.08146i | 1.31979 | + | 0.278837i | ||||
\(841\) | 16.2840 | − | 11.8310i | 0.561517 | − | 0.407966i | ||||
\(842\) | −24.9263 | − | 34.3082i | −0.859018 | − | 1.18234i | ||||
\(843\) | −28.9083 | − | 11.4357i | −0.995656 | − | 0.393867i | ||||
\(844\) | 84.0322 | + | 27.3037i | 2.89251 | + | 0.939833i | ||||
\(845\) | 4.61070 | − | 9.30998i | 0.158613 | − | 0.320273i | ||||
\(846\) | −38.8016 | + | 7.42565i | −1.33403 | + | 0.255299i | ||||
\(847\) | 13.9349 | + | 0.598214i | 0.478808 | + | 0.0205549i | ||||
\(848\) | −43.7912 | −1.50380 | ||||||||
\(849\) | 21.1391 | − | 5.43427i | 0.725491 | − | 0.186504i | ||||
\(850\) | −1.26809 | − | 55.5895i | −0.0434952 | − | 1.90670i | ||||
\(851\) | 23.5420 | − | 7.64926i | 0.807010 | − | 0.262213i | ||||
\(852\) | 89.3862 | + | 5.59709i | 3.06232 | + | 0.191753i | ||||
\(853\) | 3.81136 | − | 2.76911i | 0.130498 | − | 0.0948127i | −0.520621 | − | 0.853788i | \(-0.674300\pi\) |
0.651120 | + | 0.758975i | \(0.274300\pi\) | |||||||
\(854\) | 1.55866 | + | 4.79706i | 0.0533363 | + | 0.164152i | ||||
\(855\) | −15.9452 | + | 0.692661i | −0.545313 | + | 0.0236885i | ||||
\(856\) | −74.8532 | − | 54.3840i | −2.55843 | − | 1.85881i | ||||
\(857\) | 11.0658i | 0.377999i | 0.981977 | + | 0.188999i | \(0.0605244\pi\) | ||||
−0.981977 | + | 0.188999i | \(0.939476\pi\) | |||||||
\(858\) | −43.7971 | − | 3.68705i | −1.49521 | − | 0.125874i | ||||
\(859\) | −23.1783 | −0.790832 | −0.395416 | − | 0.918502i | \(-0.629400\pi\) | ||||
−0.395416 | + | 0.918502i | \(0.629400\pi\) | |||||||
\(860\) | 1.93229 | − | 3.90169i | 0.0658904 | − | 0.133047i | ||||
\(861\) | −10.9878 | − | 17.3026i | −0.374463 | − | 0.589672i | ||||
\(862\) | −6.46301 | + | 2.09996i | −0.220131 | + | 0.0715249i | ||||
\(863\) | −18.5394 | + | 13.4697i | −0.631089 | + | 0.458513i | −0.856777 | − | 0.515687i | \(-0.827537\pi\) |
0.225688 | + | 0.974200i | \(0.427537\pi\) | |||||||
\(864\) | −8.75783 | − | 68.8328i | −0.297947 | − | 2.34174i | ||||
\(865\) | 17.4687 | + | 33.3389i | 0.593954 | + | 1.13356i | ||||
\(866\) | −20.7699 | + | 63.9232i | −0.705790 | + | 2.17220i | ||||
\(867\) | 1.08827 | − | 0.279764i | 0.0369596 | − | 0.00950129i | ||||
\(868\) | 25.9638 | 0.881268 | ||||||||
\(869\) | 0.810430 | − | 37.7739i | 0.0274920 | − | 1.28139i | ||||
\(870\) | −15.2362 | + | 26.4649i | −0.516556 | + | 0.897244i | ||||
\(871\) | 20.3330 | − | 27.9860i | 0.688958 | − | 0.948270i | ||||
\(872\) | −18.0424 | + | 55.5289i | −0.610994 | + | 1.88045i | ||||
\(873\) | −13.8324 | − | 25.1257i | −0.468155 | − | 0.850376i | ||||
\(874\) | 27.1660 | − | 19.7372i | 0.918903 | − | 0.667622i | ||||
\(875\) | −12.8440 | − | 6.00013i | −0.434207 | − | 0.202841i | ||||
\(876\) | −12.5561 | − | 4.96702i | −0.424233 | − | 0.167820i | ||||
\(877\) | 8.87408 | − | 27.3116i | 0.299657 | − | 0.922248i | −0.681961 | − | 0.731389i | \(-0.738873\pi\) |
0.981617 | − | 0.190859i | \(-0.0611274\pi\) | |||||||
\(878\) | −39.2917 | − | 28.5471i | −1.32603 | − | 0.963418i | ||||
\(879\) | 22.9327 | + | 18.9602i | 0.773502 | + | 0.639510i | ||||
\(880\) | 73.4495 | − | 36.4995i | 2.47598 | − | 1.23040i | ||||
\(881\) | 20.3769i | 0.686514i | 0.939242 | + | 0.343257i | \(0.111530\pi\) | ||||
−0.939242 | + | 0.343257i | \(0.888470\pi\) | |||||||
\(882\) | −38.7575 | − | 18.2098i | −1.30503 | − | 0.613157i | ||||
\(883\) | 25.8300 | + | 8.39268i | 0.869249 | + | 0.282436i | 0.709486 | − | 0.704719i | \(-0.248927\pi\) |
0.159763 | + | 0.987155i | \(0.448927\pi\) | |||||||
\(884\) | 57.8255 | − | 18.7887i | 1.94488 | − | 0.631931i | ||||
\(885\) | 0.367568 | + | 3.45633i | 0.0123557 | + | 0.116183i | ||||
\(886\) | −40.9876 | − | 56.4145i | −1.37700 | − | 1.89528i | ||||
\(887\) | 23.3591 | − | 7.58985i | 0.784323 | − | 0.254842i | 0.110638 | − | 0.993861i | \(-0.464710\pi\) |
0.673685 | + | 0.739019i | \(0.264710\pi\) | |||||||
\(888\) | 34.3195 | + | 54.0434i | 1.15169 | + | 1.81358i | ||||
\(889\) | 2.43265 | + | 1.76742i | 0.0815885 | + | 0.0592775i | ||||
\(890\) | 7.30988 | + | 42.9750i | 0.245028 | + | 1.44053i | ||||
\(891\) | 28.7555 | + | 8.00764i | 0.963345 | + | 0.268266i | ||||
\(892\) | − | 59.0392i | − | 1.97678i | ||||||
\(893\) | 6.95682 | − | 9.57524i | 0.232801 | − | 0.320423i | ||||
\(894\) | −61.3667 | + | 38.9700i | −2.05241 | + | 1.30335i | ||||
\(895\) | 19.3452 | + | 36.9202i | 0.646640 | + | 1.23410i | ||||
\(896\) | −6.19767 | − | 8.53036i | −0.207050 | − | 0.284979i | ||||
\(897\) | −1.66802 | + | 26.6386i | −0.0556937 | + | 0.889435i | ||||
\(898\) | 8.51605 | + | 26.2097i | 0.284184 | + | 0.874630i | ||||
\(899\) | −3.76386 | + | 11.5840i | −0.125532 | + | 0.386347i | ||||
\(900\) | −7.66771 | + | 74.7188i | −0.255590 | + | 2.49063i | ||||
\(901\) | 16.6346i | 0.554180i | ||||||||
\(902\) | −77.3669 | − | 26.9860i | −2.57604 | − | 0.898537i | ||||
\(903\) | 0.544164 | − | 0.658178i | 0.0181086 | − | 0.0219028i | ||||
\(904\) | −15.7533 | + | 21.6826i | −0.523948 | + | 0.721153i | ||||
\(905\) | 24.4726 | + | 3.59050i | 0.813498 | + | 0.119352i | ||||
\(906\) | 85.5749 | + | 33.8522i | 2.84304 | + | 1.12466i | ||||
\(907\) | 12.1212 | + | 16.6834i | 0.402477 | + | 0.553962i | 0.961363 | − | 0.275282i | \(-0.0887713\pi\) |
−0.558887 | + | 0.829244i | \(0.688771\pi\) | |||||||
\(908\) | −32.1468 | − | 44.2463i | −1.06683 | − | 1.46836i | ||||
\(909\) | −7.03343 | + | 3.87209i | −0.233284 | + | 0.128429i | ||||
\(910\) | 3.14896 | − | 21.4631i | 0.104387 | − | 0.711496i | ||||
\(911\) | 2.36977 | − | 3.26170i | 0.0785138 | − | 0.108065i | −0.767954 | − | 0.640505i | \(-0.778725\pi\) |
0.846468 | + | 0.532440i | \(0.178725\pi\) | |||||||
\(912\) | 35.1245 | + | 29.0400i | 1.16309 | + | 0.961609i | ||||
\(913\) | −9.01103 | − | 3.14310i | −0.298222 | − | 0.104021i | ||||
\(914\) | 32.3486i | 1.07000i | ||||||||
\(915\) | −5.31395 | + | 2.37375i | −0.175674 | + | 0.0784737i | ||||
\(916\) | −5.67171 | + | 17.4557i | −0.187398 | + | 0.576753i | ||||
\(917\) | 2.99407 | + | 9.21480i | 0.0988729 | + | 0.304299i | ||||
\(918\) | −57.3232 | + | 7.29342i | −1.89195 | + | 0.240719i | ||||
\(919\) | −1.16604 | − | 1.60492i | −0.0384643 | − | 0.0529415i | 0.789352 | − | 0.613941i | \(-0.210417\pi\) |
−0.827816 | + | 0.561000i | \(0.810417\pi\) | |||||||
\(920\) | −44.0500 | − | 84.0690i | −1.45229 | − | 2.77167i | ||||
\(921\) | 24.9241 | + | 39.2484i | 0.821277 | + | 1.29328i | ||||
\(922\) | −9.99473 | + | 13.7566i | −0.329159 | + | 0.453048i | ||||
\(923\) | − | 29.8462i | − | 0.982399i | ||||||
\(924\) | 35.5119 | − | 8.32134i | 1.16826 | − | 0.273752i | ||||
\(925\) | −7.67516 | − | 21.9085i | −0.252358 | − | 0.720347i | ||||
\(926\) | −5.01863 | − | 3.64625i | −0.164922 | − | 0.119823i | ||||
\(927\) | −6.15434 | + | 48.9500i | −0.202135 | + | 1.60773i | ||||
\(928\) | 37.8281 | − | 12.2911i | 1.24177 | − | 0.403475i | ||||
\(929\) | 3.03458 | + | 4.17674i | 0.0995613 | + | 0.137034i | 0.855891 | − | 0.517156i | \(-0.173009\pi\) |
−0.756330 | + | 0.654191i | \(0.773009\pi\) | |||||||
\(930\) | 4.43353 | + | 41.6895i | 0.145381 | + | 1.36705i | ||||
\(931\) | 12.2013 | − | 3.96446i | 0.399883 | − | 0.129930i | ||||
\(932\) | −38.0513 | − | 12.3636i | −1.24641 | − | 0.404983i | ||||
\(933\) | 4.06524 | + | 15.8136i | 0.133090 | + | 0.517713i | ||||
\(934\) | − | 66.7920i | − | 2.18550i | ||||||
\(935\) | −13.8648 | − | 27.9007i | −0.453427 | − | 0.912450i | ||||
\(936\) | −67.7994 | + | 12.9751i | −2.21609 | + | 0.424105i | ||||
\(937\) | −11.4783 | − | 8.33949i | −0.374980 | − | 0.272439i | 0.384293 | − | 0.923211i | \(-0.374445\pi\) |
−0.759273 | + | 0.650772i | \(0.774445\pi\) | |||||||
\(938\) | −12.4140 | + | 38.2064i | −0.405332 | + | 1.24748i | ||||
\(939\) | −16.8019 | + | 42.4735i | −0.548309 | + | 1.38607i | ||||
\(940\) | −39.8328 | − | 38.9345i | −1.29920 | − | 1.26990i | ||||
\(941\) | −16.2297 | + | 11.7916i | −0.529073 | + | 0.384394i | −0.820011 | − | 0.572348i | \(-0.806033\pi\) |
0.290938 | + | 0.956742i | \(0.406033\pi\) | |||||||
\(942\) | −85.0580 | − | 33.6477i | −2.77134 | − | 1.09630i | ||||
\(943\) | −15.3763 | + | 47.3233i | −0.500720 | + | 1.54106i | ||||
\(944\) | 5.83393 | − | 8.02971i | 0.189878 | − | 0.261345i | ||||
\(945\) | −4.81969 | + | 13.9219i | −0.156784 | + | 0.452878i | ||||
\(946\) | 0.0732292 | − | 3.41319i | 0.00238089 | − | 0.110972i | ||||
\(947\) | −5.29273 | −0.171990 | −0.0859952 | − | 0.996296i | \(-0.527407\pi\) | ||||
−0.0859952 | + | 0.996296i | \(0.527407\pi\) | |||||||
\(948\) | −24.5997 | − | 95.6916i | −0.798961 | − | 3.10792i | ||||
\(949\) | −1.39052 | + | 4.27959i | −0.0451383 | + | 0.138921i | ||||
\(950\) | −19.0859 | − | 25.0477i | −0.619229 | − | 0.812654i | ||||
\(951\) | −0.410391 | + | 6.55399i | −0.0133078 | + | 0.212528i | ||||
\(952\) | −34.3082 | + | 24.9263i | −1.11193 | + | 0.807867i | ||||
\(953\) | 38.4643 | − | 12.4978i | 1.24598 | − | 0.404844i | 0.389503 | − | 0.921025i | \(-0.372647\pi\) |
0.856479 | + | 0.516181i | \(0.172647\pi\) | |||||||
\(954\) | 3.92264 | − | 31.1997i | 0.127000 | − | 1.01013i | ||||
\(955\) | 30.7343 | + | 15.2210i | 0.994540 | + | 0.492539i | ||||
\(956\) | −84.5862 | −2.73571 | ||||||||
\(957\) | −1.43537 | + | 17.0503i | −0.0463990 | + | 0.551157i | ||||
\(958\) | − | 23.7875i | − | 0.768538i | ||||||
\(959\) | 11.9634 | + | 8.69193i | 0.386319 | + | 0.280677i | ||||
\(960\) | 38.0376 | − | 34.3339i | 1.22766 | − | 1.10812i | ||||
\(961\) | −4.41215 | − | 13.5792i | −0.142327 | − | 0.438039i | ||||
\(962\) | 28.7382 | − | 20.8795i | 0.926557 | − | 0.673183i | ||||
\(963\) | 23.8523 | − | 25.4303i | 0.768630 | − | 0.819481i | ||||
\(964\) | −47.0871 | + | 15.2995i | −1.51657 | + | 0.492765i | ||||
\(965\) | 22.3842 | + | 3.28410i | 0.720574 | + | 0.105719i | ||||
\(966\) | −7.71732 | − | 30.0200i | −0.248301 | − | 0.965878i | ||||
\(967\) | 62.1537 | 1.99873 | 0.999365 | − | 0.0356339i | \(-0.0113450\pi\) | ||||
0.999365 | + | 0.0356339i | \(0.0113450\pi\) | |||||||
\(968\) | 54.4647 | − | 68.5743i | 1.75056 | − | 2.20406i | ||||
\(969\) | 11.0312 | − | 13.3425i | 0.354373 | − | 0.428622i | ||||
\(970\) | 25.1150 | − | 50.7125i | 0.806395 | − | 1.62828i | ||||
\(971\) | −42.4824 | − | 13.8034i | −1.36333 | − | 0.442972i | −0.466174 | − | 0.884693i | \(-0.654368\pi\) |
−0.897152 | + | 0.441722i | \(0.854368\pi\) | |||||||
\(972\) | 78.0578 | − | 0.115741i | 2.50370 | − | 0.00371239i | ||||
\(973\) | −0.0947504 | − | 0.130413i | −0.00303756 | − | 0.00418084i | ||||
\(974\) | 16.0653 | − | 11.6721i | 0.514766 | − | 0.374000i | ||||
\(975\) | 25.0110 | + | 0.994148i | 0.800993 | + | 0.0318382i | ||||
\(976\) | 15.8058 | + | 5.13562i | 0.505931 | + | 0.164387i | ||||
\(977\) | −24.4873 | − | 17.7911i | −0.783419 | − | 0.569187i | 0.122585 | − | 0.992458i | \(-0.460882\pi\) |
−0.906003 | + | 0.423271i | \(0.860882\pi\) | |||||||
\(978\) | −2.06316 | + | 2.49543i | −0.0659724 | + | 0.0797951i | ||||
\(979\) | 13.9297 | + | 20.0640i | 0.445196 | + | 0.641248i | ||||
\(980\) | −10.1244 | − | 59.5216i | −0.323412 | − | 1.90135i | ||||
\(981\) | −19.9135 | − | 9.35618i | −0.635791 | − | 0.298720i | ||||
\(982\) | 83.1050 | + | 27.0024i | 2.65199 | + | 0.861683i | ||||
\(983\) | −0.799736 | − | 2.46133i | −0.0255076 | − | 0.0785044i | 0.937492 | − | 0.348006i | \(-0.113141\pi\) |
−0.963000 | + | 0.269502i | \(0.913141\pi\) | |||||||
\(984\) | −128.438 | − | 8.04242i | −4.09447 | − | 0.256383i | ||||
\(985\) | 24.8483 | − | 25.4216i | 0.791733 | − | 0.810000i | ||||
\(986\) | −10.2359 | − | 31.5028i | −0.325977 | − | 1.00325i | ||||
\(987\) | −5.85678 | − | 9.22276i | −0.186423 | − | 0.293564i | ||||
\(988\) | 20.2398 | − | 27.8578i | 0.643915 | − | 0.886274i | ||||
\(989\) | −2.07321 | −0.0659241 | ||||||||
\(990\) | 19.4253 | + | 55.5997i | 0.617377 | + | 1.76707i | ||||
\(991\) | 23.4445 | 0.744739 | 0.372370 | − | 0.928084i | \(-0.378545\pi\) | ||||
0.372370 | + | 0.928084i | \(0.378545\pi\) | |||||||
\(992\) | 32.0969 | − | 44.1776i | 1.01908 | − | 1.40264i | ||||
\(993\) | 9.23544 | + | 14.5432i | 0.293078 | + | 0.461514i | ||||
\(994\) | 10.7107 | + | 32.9641i | 0.339723 | + | 1.04556i | ||||
\(995\) | 1.57102 | + | 1.53559i | 0.0498048 | + | 0.0486816i | ||||
\(996\) | −24.9077 | − | 1.55965i | −0.789232 | − | 0.0494193i | ||||
\(997\) | 15.1627 | + | 46.6659i | 0.480207 | + | 1.47792i | 0.838805 | + | 0.544432i | \(0.183255\pi\) |
−0.358598 | + | 0.933492i | \(0.616745\pi\) | |||||||
\(998\) | −2.79624 | − | 0.908552i | −0.0885133 | − | 0.0287597i | ||||
\(999\) | −21.8195 | + | 10.2912i | −0.690340 | + | 0.325600i |
(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 | 165.2.r.a.29.1 | ✓ | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.19 | yes | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.1 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.20 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.20 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.2 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.19 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.2 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.2 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.20 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.2 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.19 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.19 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.20 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.1 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.1 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.2 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.29.19 | yes | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.20 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.74.1 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.2 | yes | 80 | 11.8 | odd | 10 | inner | |
165.2.r.a.74.19 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.20 | yes | 80 | 33.8 | even | 10 | inner | |
825.2.bi.h.326.1 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.2 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.326.19 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.20 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.701.1 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.2 | 80 | 55.8 | even | 20 | |||
825.2.bi.h.701.19 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.20 | 80 | 165.8 | odd | 20 |