Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(13,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.s (of order \(28\), degree \(12\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 223.27 | ||
Character | \(\chi\) | \(=\) | 490.223 |
Dual form | 490.2.s.a.167.27 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.330279 | − | 0.943883i | 0.233543 | − | 0.667426i | ||||
\(3\) | 1.58832 | + | 2.52779i | 0.917016 | + | 1.45942i | 0.888000 | + | 0.459844i | \(0.152095\pi\) |
0.0290160 | + | 0.999579i | \(0.490763\pi\) | |||||||
\(4\) | −0.781831 | − | 0.623490i | −0.390916 | − | 0.311745i | ||||
\(5\) | −2.05859 | + | 0.873048i | −0.920629 | + | 0.390439i | ||||
\(6\) | 2.91053 | − | 0.664310i | 1.18822 | − | 0.271203i | ||||
\(7\) | 2.60626 | + | 0.455395i | 0.985075 | + | 0.172123i | ||||
\(8\) | −0.846724 | + | 0.532032i | −0.299362 | + | 0.188102i | ||||
\(9\) | −2.56534 | + | 5.32698i | −0.855112 | + | 1.77566i | ||||
\(10\) | 0.144147 | + | 2.23142i | 0.0455833 | + | 0.705636i | ||||
\(11\) | 2.49186 | − | 1.20002i | 0.751324 | − | 0.361818i | −0.0187073 | − | 0.999825i | \(-0.505955\pi\) |
0.770031 | + | 0.638007i | \(0.220241\pi\) | |||||||
\(12\) | 0.334257 | − | 2.96661i | 0.0964916 | − | 0.856386i | ||||
\(13\) | −0.306042 | + | 0.874618i | −0.0848808 | + | 0.242575i | −0.978499 | − | 0.206253i | \(-0.933873\pi\) |
0.893618 | + | 0.448829i | \(0.148159\pi\) | |||||||
\(14\) | 1.29063 | − | 2.30960i | 0.344937 | − | 0.617267i | ||||
\(15\) | −5.47658 | − | 3.81701i | −1.41405 | − | 0.985548i | ||||
\(16\) | 0.222521 | + | 0.974928i | 0.0556302 | + | 0.243732i | ||||
\(17\) | −0.766171 | + | 6.79995i | −0.185824 | + | 1.64923i | 0.461591 | + | 0.887093i | \(0.347279\pi\) |
−0.647415 | + | 0.762138i | \(0.724150\pi\) | |||||||
\(18\) | 4.18077 | + | 4.18077i | 0.985416 | + | 0.985416i | ||||
\(19\) | −5.70240 | −1.30822 | −0.654110 | − | 0.756400i | \(-0.726957\pi\) | ||||
−0.654110 | + | 0.756400i | \(0.726957\pi\) | |||||||
\(20\) | 2.15381 | + | 0.600932i | 0.481606 | + | 0.134373i | ||||
\(21\) | 2.98843 | + | 7.31141i | 0.652130 | + | 1.59548i | ||||
\(22\) | −0.309666 | − | 2.74836i | −0.0660211 | − | 0.585953i | ||||
\(23\) | 1.80213 | − | 0.203051i | 0.375769 | − | 0.0423390i | 0.0779396 | − | 0.996958i | \(-0.475166\pi\) |
0.297830 | + | 0.954619i | \(0.403737\pi\) | |||||||
\(24\) | −2.68973 | − | 1.29531i | −0.549040 | − | 0.264404i | ||||
\(25\) | 3.47557 | − | 3.59449i | 0.695115 | − | 0.718899i | ||||
\(26\) | 0.724458 | + | 0.577736i | 0.142078 | + | 0.113303i | ||||
\(27\) | −8.64024 | + | 0.973521i | −1.66282 | + | 0.187354i | ||||
\(28\) | −1.75373 | − | 1.98102i | −0.331423 | − | 0.374378i | ||||
\(29\) | 3.83055 | − | 3.05476i | 0.711316 | − | 0.567256i | −0.199585 | − | 0.979881i | \(-0.563959\pi\) |
0.910901 | + | 0.412625i | \(0.135388\pi\) | |||||||
\(30\) | −5.41161 | + | 3.90857i | −0.988020 | + | 0.713605i | ||||
\(31\) | 0.286351i | 0.0514302i | 0.999669 | + | 0.0257151i | \(0.00818627\pi\) | ||||
−0.999669 | + | 0.0257151i | \(0.991814\pi\) | |||||||
\(32\) | 0.993712 | + | 0.111964i | 0.175665 | + | 0.0197927i | ||||
\(33\) | 6.99126 | + | 4.39290i | 1.21702 | + | 0.764705i | ||||
\(34\) | 6.16531 | + | 2.96906i | 1.05734 | + | 0.509189i | ||||
\(35\) | −5.76281 | + | 1.33792i | −0.974092 | + | 0.226150i | ||||
\(36\) | 5.32698 | − | 2.56534i | 0.887829 | − | 0.427556i | ||||
\(37\) | 8.09491 | + | 0.912077i | 1.33079 | + | 0.149944i | 0.748555 | − | 0.663073i | \(-0.230748\pi\) |
0.582239 | + | 0.813017i | \(0.302177\pi\) | |||||||
\(38\) | −1.88338 | + | 5.38240i | −0.305525 | + | 0.873140i | ||||
\(39\) | −2.69695 | + | 0.615560i | −0.431857 | + | 0.0985686i | ||||
\(40\) | 1.27857 | − | 1.83447i | 0.202159 | − | 0.290055i | ||||
\(41\) | −10.4473 | − | 2.38453i | −1.63160 | − | 0.372401i | −0.693958 | − | 0.720015i | \(-0.744135\pi\) |
−0.937638 | + | 0.347614i | \(0.886992\pi\) | |||||||
\(42\) | 7.88814 | − | 0.405926i | 1.21717 | − | 0.0626358i | ||||
\(43\) | 2.06712 | − | 3.28980i | 0.315233 | − | 0.501690i | −0.651098 | − | 0.758994i | \(-0.725691\pi\) |
0.966331 | + | 0.257304i | \(0.0828340\pi\) | |||||||
\(44\) | −2.69641 | − | 0.615438i | −0.406499 | − | 0.0927808i | ||||
\(45\) | 0.630265 | − | 13.2057i | 0.0939543 | − | 1.96859i | ||||
\(46\) | 0.403548 | − | 1.76806i | 0.0594999 | − | 0.260686i | ||||
\(47\) | 3.68353 | + | 1.28892i | 0.537298 | + | 0.188009i | 0.585268 | − | 0.810840i | \(-0.300989\pi\) |
−0.0479700 | + | 0.998849i | \(0.515275\pi\) | |||||||
\(48\) | −2.11098 | + | 2.11098i | −0.304694 | + | 0.304694i | ||||
\(49\) | 6.58523 | + | 2.37376i | 0.940747 | + | 0.339108i | ||||
\(50\) | −2.24487 | − | 4.46772i | −0.317473 | − | 0.631831i | ||||
\(51\) | −18.4058 | + | 8.86377i | −2.57733 | + | 1.24118i | ||||
\(52\) | 0.784589 | − | 0.492990i | 0.108803 | − | 0.0683654i | ||||
\(53\) | −10.0096 | + | 1.12781i | −1.37492 | + | 0.154917i | −0.768308 | − | 0.640080i | \(-0.778901\pi\) |
−0.606614 | + | 0.794997i | \(0.707473\pi\) | |||||||
\(54\) | −1.93480 | + | 8.47691i | −0.263293 | + | 1.15356i | ||||
\(55\) | −4.08204 | + | 4.64585i | −0.550422 | + | 0.626446i | ||||
\(56\) | −2.44907 | + | 1.00102i | −0.327271 | + | 0.133767i | ||||
\(57\) | −9.05722 | − | 14.4145i | −1.19966 | − | 1.90924i | ||||
\(58\) | −1.61819 | − | 4.62452i | −0.212479 | − | 0.607229i | ||||
\(59\) | −0.462077 | − | 2.02449i | −0.0601572 | − | 0.263566i | 0.935902 | − | 0.352262i | \(-0.114587\pi\) |
−0.996059 | + | 0.0886956i | \(0.971730\pi\) | |||||||
\(60\) | 1.90190 | + | 6.39885i | 0.245534 | + | 0.826088i | ||||
\(61\) | 8.66468 | − | 6.90985i | 1.10940 | − | 0.884716i | 0.115315 | − | 0.993329i | \(-0.463212\pi\) |
0.994084 | + | 0.108613i | \(0.0346409\pi\) | |||||||
\(62\) | 0.270282 | + | 0.0945758i | 0.0343258 | + | 0.0120111i | ||||
\(63\) | −9.11182 | + | 12.7153i | −1.14798 | + | 1.60197i | ||||
\(64\) | 0.433884 | − | 0.900969i | 0.0542355 | − | 0.112621i | ||||
\(65\) | −0.133569 | − | 2.06767i | −0.0165672 | − | 0.256463i | ||||
\(66\) | 6.45545 | − | 5.14805i | 0.794611 | − | 0.633681i | ||||
\(67\) | 10.6396 | − | 10.6396i | 1.29983 | − | 1.29983i | 0.371330 | − | 0.928501i | \(-0.378902\pi\) |
0.928501 | − | 0.371330i | \(-0.121098\pi\) | |||||||
\(68\) | 4.83872 | − | 4.83872i | 0.586781 | − | 0.586781i | ||||
\(69\) | 3.37562 | + | 4.23289i | 0.406377 | + | 0.509580i | ||||
\(70\) | −0.640490 | + | 5.88131i | −0.0765533 | + | 0.702951i | ||||
\(71\) | 2.49697 | − | 3.13110i | 0.296335 | − | 0.371593i | −0.611267 | − | 0.791425i | \(-0.709340\pi\) |
0.907602 | + | 0.419832i | \(0.137911\pi\) | |||||||
\(72\) | −0.661990 | − | 5.87532i | −0.0780162 | − | 0.692413i | ||||
\(73\) | 6.68549 | − | 2.33935i | 0.782477 | − | 0.273801i | 0.0906681 | − | 0.995881i | \(-0.471100\pi\) |
0.691809 | + | 0.722081i | \(0.256814\pi\) | |||||||
\(74\) | 3.53447 | − | 7.33941i | 0.410874 | − | 0.853189i | ||||
\(75\) | 14.6065 | + | 3.07633i | 1.68661 | + | 0.355224i | ||||
\(76\) | 4.45831 | + | 3.55539i | 0.511404 | + | 0.407831i | ||||
\(77\) | 7.04092 | − | 1.99278i | 0.802388 | − | 0.227098i | ||||
\(78\) | −0.309728 | + | 2.74891i | −0.0350698 | + | 0.311253i | ||||
\(79\) | − | 9.19209i | − | 1.03419i | −0.855928 | − | 0.517095i | \(-0.827013\pi\) | ||
0.855928 | − | 0.517095i | \(-0.172987\pi\) | |||||||
\(80\) | −1.30924 | − | 1.81270i | −0.146377 | − | 0.202666i | ||||
\(81\) | −5.12517 | − | 6.42676i | −0.569463 | − | 0.714084i | ||||
\(82\) | −5.70125 | + | 9.07348i | −0.629597 | + | 1.00200i | ||||
\(83\) | 6.93202 | − | 2.42562i | 0.760888 | − | 0.266246i | 0.0781816 | − | 0.996939i | \(-0.475089\pi\) |
0.682706 | + | 0.730693i | \(0.260803\pi\) | |||||||
\(84\) | 2.22214 | − | 7.57955i | 0.242455 | − | 0.826997i | ||||
\(85\) | −4.35946 | − | 14.6672i | −0.472850 | − | 1.59088i | ||||
\(86\) | −2.42246 | − | 3.03767i | −0.261221 | − | 0.327561i | ||||
\(87\) | 13.8060 | + | 4.83091i | 1.48015 | + | 0.517928i | ||||
\(88\) | −1.47147 | + | 2.34183i | −0.156859 | + | 0.249640i | ||||
\(89\) | −5.05354 | − | 2.43366i | −0.535674 | − | 0.257967i | 0.146432 | − | 0.989221i | \(-0.453221\pi\) |
−0.682105 | + | 0.731254i | \(0.738935\pi\) | |||||||
\(90\) | −12.2565 | − | 4.95647i | −1.29195 | − | 0.522458i | ||||
\(91\) | −1.19592 | + | 2.14012i | −0.125367 | + | 0.224345i | ||||
\(92\) | −1.53556 | − | 0.964855i | −0.160093 | − | 0.100593i | ||||
\(93\) | −0.723837 | + | 0.454817i | −0.0750584 | + | 0.0471623i | ||||
\(94\) | 2.43318 | − | 3.05112i | 0.250964 | − | 0.314699i | ||||
\(95\) | 11.7389 | − | 4.97847i | 1.20438 | − | 0.510780i | ||||
\(96\) | 1.29531 | + | 2.68973i | 0.132202 | + | 0.274520i | ||||
\(97\) | −9.62021 | − | 9.62021i | −0.976784 | − | 0.976784i | 0.0229521 | − | 0.999737i | \(-0.492693\pi\) |
−0.999737 | + | 0.0229521i | \(0.992693\pi\) | |||||||
\(98\) | 4.41552 | − | 5.43169i | 0.446034 | − | 0.548683i | ||||
\(99\) | 16.3525i | 1.64349i | ||||||||
\(100\) | −4.95844 | + | 0.643304i | −0.495844 | + | 0.0643304i | ||||
\(101\) | 3.04333 | + | 0.694620i | 0.302823 | + | 0.0691173i | 0.371232 | − | 0.928540i | \(-0.378935\pi\) |
−0.0684097 | + | 0.997657i | \(0.521793\pi\) | |||||||
\(102\) | 2.28731 | + | 20.3004i | 0.226478 | + | 2.01004i | ||||
\(103\) | −2.28796 | − | 3.64127i | −0.225440 | − | 0.358785i | 0.714783 | − | 0.699347i | \(-0.246526\pi\) |
−0.940222 | + | 0.340562i | \(0.889383\pi\) | |||||||
\(104\) | −0.206192 | − | 0.903385i | −0.0202188 | − | 0.0885841i | ||||
\(105\) | −12.5352 | − | 12.4421i | −1.22331 | − | 1.21423i | ||||
\(106\) | −2.24144 | + | 9.82037i | −0.217707 | + | 0.953839i | ||||
\(107\) | −10.0342 | + | 3.51111i | −0.970040 | + | 0.339432i | −0.768359 | − | 0.640020i | \(-0.778926\pi\) |
−0.201681 | + | 0.979451i | \(0.564641\pi\) | |||||||
\(108\) | 7.36219 | + | 4.62597i | 0.708427 | + | 0.445134i | ||||
\(109\) | 5.42904 | + | 11.2735i | 0.520008 | + | 1.07981i | 0.981287 | + | 0.192553i | \(0.0616766\pi\) |
−0.461278 | + | 0.887255i | \(0.652609\pi\) | |||||||
\(110\) | 3.03693 | + | 5.38740i | 0.289560 | + | 0.513668i | ||||
\(111\) | 10.5517 | + | 21.9109i | 1.00153 | + | 2.07969i | ||||
\(112\) | 0.135971 | + | 2.64226i | 0.0128481 | + | 0.249670i | ||||
\(113\) | −0.808777 | − | 2.31135i | −0.0760833 | − | 0.217434i | 0.899560 | − | 0.436798i | \(-0.143887\pi\) |
−0.975643 | + | 0.219364i | \(0.929602\pi\) | |||||||
\(114\) | −16.5970 | + | 3.78816i | −1.55445 | + | 0.354793i | ||||
\(115\) | −3.53256 | + | 1.99134i | −0.329413 | + | 0.185693i | ||||
\(116\) | −4.89946 | −0.454904 | ||||||||
\(117\) | −3.87397 | − | 3.87397i | −0.358149 | − | 0.358149i | ||||
\(118\) | −2.06350 | − | 0.232500i | −0.189960 | − | 0.0214034i | ||||
\(119\) | −5.09351 | + | 17.3736i | −0.466921 | + | 1.59263i | ||||
\(120\) | 6.66792 | + | 0.318238i | 0.608695 | + | 0.0290510i | ||||
\(121\) | −2.08907 | + | 2.61961i | −0.189915 | + | 0.238146i | ||||
\(122\) | −3.66033 | − | 10.4606i | −0.331391 | − | 0.947061i | ||||
\(123\) | −10.5661 | − | 30.1960i | −0.952709 | − | 2.72269i | ||||
\(124\) | 0.178537 | − | 0.223878i | 0.0160331 | − | 0.0201049i | ||||
\(125\) | −4.01661 | + | 10.4339i | −0.359256 | + | 0.933239i | ||||
\(126\) | 8.99229 | + | 12.8001i | 0.801096 | + | 1.14032i | ||||
\(127\) | −2.65594 | − | 0.299252i | −0.235676 | − | 0.0265543i | −0.00666362 | − | 0.999978i | \(-0.502121\pi\) |
−0.229013 | + | 0.973423i | \(0.573550\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | 11.5992 | 1.02125 | ||||||||
\(130\) | −1.99575 | − | 0.556834i | −0.175039 | − | 0.0488376i | ||||
\(131\) | 3.28190 | − | 0.749071i | 0.286741 | − | 0.0654467i | −0.0767314 | − | 0.997052i | \(-0.524448\pi\) |
0.363472 | + | 0.931605i | \(0.381591\pi\) | |||||||
\(132\) | −2.72706 | − | 7.79348i | −0.237360 | − | 0.678336i | ||||
\(133\) | −14.8620 | − | 2.59684i | −1.28869 | − | 0.225175i | ||||
\(134\) | −6.52849 | − | 13.5565i | −0.563975 | − | 1.17111i | ||||
\(135\) | 16.9368 | − | 9.54743i | 1.45768 | − | 0.821712i | ||||
\(136\) | −2.96906 | − | 6.16531i | −0.254595 | − | 0.528671i | ||||
\(137\) | −10.2273 | − | 6.42621i | −0.873774 | − | 0.549029i | 0.0188543 | − | 0.999822i | \(-0.493998\pi\) |
−0.892628 | + | 0.450794i | \(0.851141\pi\) | |||||||
\(138\) | 5.11025 | − | 1.78816i | 0.435014 | − | 0.152218i | ||||
\(139\) | −0.251553 | + | 1.10213i | −0.0213365 | + | 0.0934811i | −0.984475 | − | 0.175524i | \(-0.943838\pi\) |
0.963139 | + | 0.269006i | \(0.0866950\pi\) | |||||||
\(140\) | 5.33973 | + | 2.54702i | 0.451289 | + | 0.215263i | ||||
\(141\) | 2.59248 | + | 11.3584i | 0.218327 | + | 0.956551i | ||||
\(142\) | −2.13069 | − | 3.39098i | −0.178804 | − | 0.284565i | ||||
\(143\) | 0.286942 | + | 2.54668i | 0.0239953 | + | 0.212964i | ||||
\(144\) | −5.76426 | − | 1.31565i | −0.480355 | − | 0.109638i | ||||
\(145\) | −5.21858 | + | 9.63276i | −0.433379 | + | 0.799957i | ||||
\(146\) | − | 7.08296i | − | 0.586190i | ||||||
\(147\) | 4.45907 | + | 20.4164i | 0.367778 | + | 1.68392i | ||||
\(148\) | −5.76018 | − | 5.76018i | −0.473484 | − | 0.473484i | ||||
\(149\) | 8.39194 | + | 17.4260i | 0.687494 | + | 1.42760i | 0.893508 | + | 0.449048i | \(0.148237\pi\) |
−0.206013 | + | 0.978549i | \(0.566049\pi\) | |||||||
\(150\) | 7.72791 | − | 12.7707i | 0.630981 | − | 1.04273i | ||||
\(151\) | 0.364409 | − | 0.456954i | 0.0296552 | − | 0.0371864i | −0.766783 | − | 0.641907i | \(-0.778144\pi\) |
0.796438 | + | 0.604720i | \(0.206715\pi\) | |||||||
\(152\) | 4.82836 | − | 3.03386i | 0.391631 | − | 0.246078i | ||||
\(153\) | −34.2577 | − | 21.5255i | −2.76957 | − | 1.74024i | ||||
\(154\) | 0.444519 | − | 7.30398i | 0.0358203 | − | 0.588572i | ||||
\(155\) | −0.249998 | − | 0.589479i | −0.0200803 | − | 0.0473481i | ||||
\(156\) | 2.49235 | + | 1.20025i | 0.199548 | + | 0.0960972i | ||||
\(157\) | −0.0262124 | + | 0.0417169i | −0.00209198 | + | 0.00332937i | −0.847769 | − | 0.530366i | \(-0.822054\pi\) |
0.845677 | + | 0.533696i | \(0.179197\pi\) | |||||||
\(158\) | −8.67626 | − | 3.03595i | −0.690246 | − | 0.241528i | ||||
\(159\) | −18.7493 | − | 23.5108i | −1.48691 | − | 1.86453i | ||||
\(160\) | −2.14339 | + | 0.637070i | −0.169450 | + | 0.0503648i | ||||
\(161\) | 4.78928 | + | 0.291475i | 0.377449 | + | 0.0229714i | ||||
\(162\) | −7.75884 | + | 2.71494i | −0.609592 | + | 0.213306i | ||||
\(163\) | 9.79776 | − | 15.5930i | 0.767420 | − | 1.22134i | −0.202825 | − | 0.979215i | \(-0.565012\pi\) |
0.970245 | − | 0.242126i | \(-0.0778448\pi\) | |||||||
\(164\) | 6.68131 | + | 8.37809i | 0.521722 | + | 0.654219i | ||||
\(165\) | −18.2273 | − | 2.93946i | −1.41900 | − | 0.228837i | ||||
\(166\) | − | 7.34415i | − | 0.570016i | ||||||
\(167\) | −1.58363 | + | 14.0551i | −0.122545 | + | 1.08762i | 0.770433 | + | 0.637521i | \(0.220040\pi\) |
−0.892979 | + | 0.450099i | \(0.851389\pi\) | |||||||
\(168\) | −6.42028 | − | 4.60081i | −0.495336 | − | 0.354960i | ||||
\(169\) | 9.49251 | + | 7.57003i | 0.730193 | + | 0.582310i | ||||
\(170\) | −15.2840 | − | 0.729453i | −1.17223 | − | 0.0559465i | ||||
\(171\) | 14.6286 | − | 30.3765i | 1.11867 | − | 2.32295i | ||||
\(172\) | −3.66730 | + | 1.28324i | −0.279629 | + | 0.0978464i | ||||
\(173\) | −1.95555 | − | 17.3560i | −0.148678 | − | 1.31955i | −0.817413 | − | 0.576052i | \(-0.804593\pi\) |
0.668735 | − | 0.743501i | \(-0.266836\pi\) | |||||||
\(174\) | 9.11964 | − | 11.4357i | 0.691358 | − | 0.866935i | ||||
\(175\) | 10.6952 | − | 7.78545i | 0.808479 | − | 0.588524i | ||||
\(176\) | 1.72442 | + | 2.16235i | 0.129983 | + | 0.162994i | ||||
\(177\) | 4.38357 | − | 4.38357i | 0.329489 | − | 0.329489i | ||||
\(178\) | −3.96616 | + | 3.96616i | −0.297277 | + | 0.297277i | ||||
\(179\) | −17.3373 | + | 13.8260i | −1.29585 | + | 1.03341i | −0.298987 | + | 0.954257i | \(0.596649\pi\) |
−0.996863 | + | 0.0791490i | \(0.974780\pi\) | |||||||
\(180\) | −8.72639 | + | 9.93168i | −0.650427 | + | 0.740264i | ||||
\(181\) | 5.83853 | − | 12.1238i | 0.433975 | − | 0.901158i | −0.563220 | − | 0.826307i | \(-0.690438\pi\) |
0.997195 | − | 0.0748508i | \(-0.0238481\pi\) | |||||||
\(182\) | 1.62503 | + | 1.83565i | 0.120455 | + | 0.136067i | ||||
\(183\) | 31.2290 | + | 10.9275i | 2.30851 | + | 0.807783i | ||||
\(184\) | −1.41787 | + | 1.13072i | −0.104527 | + | 0.0833575i | ||||
\(185\) | −17.4604 | + | 5.18965i | −1.28371 | + | 0.381551i | ||||
\(186\) | 0.190226 | + | 0.833434i | 0.0139480 | + | 0.0611103i | ||||
\(187\) | 6.25086 | + | 17.8639i | 0.457108 | + | 1.30634i | ||||
\(188\) | −2.07627 | − | 3.30436i | −0.151427 | − | 0.240995i | ||||
\(189\) | −22.9621 | − | 1.39747i | −1.67025 | − | 0.101651i | ||||
\(190\) | −0.821983 | − | 12.7244i | −0.0596329 | − | 0.923127i | ||||
\(191\) | −4.60076 | + | 20.1572i | −0.332899 | + | 1.45853i | 0.480590 | + | 0.876945i | \(0.340423\pi\) |
−0.813489 | + | 0.581580i | \(0.802435\pi\) | |||||||
\(192\) | 2.96661 | − | 0.334257i | 0.214097 | − | 0.0241229i | ||||
\(193\) | −17.7661 | + | 11.1632i | −1.27883 | + | 0.803545i | −0.988182 | − | 0.153284i | \(-0.951015\pi\) |
−0.290652 | + | 0.956829i | \(0.593872\pi\) | |||||||
\(194\) | −12.2577 | + | 5.90300i | −0.880052 | + | 0.423811i | ||||
\(195\) | 5.01449 | − | 3.62175i | 0.359095 | − | 0.259359i | ||||
\(196\) | −3.66853 | − | 5.96170i | −0.262038 | − | 0.425836i | ||||
\(197\) | 0.181894 | − | 0.181894i | 0.0129594 | − | 0.0129594i | −0.700597 | − | 0.713557i | \(-0.747083\pi\) |
0.713557 | + | 0.700597i | \(0.247083\pi\) | |||||||
\(198\) | 15.4349 | + | 5.40089i | 1.09691 | + | 0.383825i | ||||
\(199\) | −4.46969 | + | 19.5830i | −0.316848 | + | 1.38820i | 0.526199 | + | 0.850361i | \(0.323617\pi\) |
−0.843047 | + | 0.537840i | \(0.819241\pi\) | |||||||
\(200\) | −1.03047 | + | 4.89266i | −0.0728649 | + | 0.345963i | ||||
\(201\) | 43.7937 | + | 9.99562i | 3.08897 | + | 0.705037i | ||||
\(202\) | 1.66079 | − | 2.64313i | 0.116853 | − | 0.185970i | ||||
\(203\) | 11.3746 | − | 6.21711i | 0.798338 | − | 0.436356i | ||||
\(204\) | 19.9167 | + | 4.54586i | 1.39445 | + | 0.318274i | ||||
\(205\) | 23.5885 | − | 4.21224i | 1.64749 | − | 0.294196i | ||||
\(206\) | −4.19260 | + | 0.956933i | −0.292112 | + | 0.0666727i | ||||
\(207\) | −3.54141 | + | 10.1208i | −0.246145 | + | 0.703442i | ||||
\(208\) | −0.920790 | − | 0.103748i | −0.0638453 | − | 0.00719364i | ||||
\(209\) | −14.2096 | + | 6.84296i | −0.982896 | + | 0.473338i | ||||
\(210\) | −15.8840 | + | 7.72236i | −1.09610 | + | 0.532893i | ||||
\(211\) | −22.3154 | − | 10.7465i | −1.53625 | − | 0.739821i | −0.541364 | − | 0.840788i | \(-0.682092\pi\) |
−0.994890 | + | 0.100967i | \(0.967806\pi\) | |||||||
\(212\) | 8.52899 | + | 5.35912i | 0.585773 | + | 0.368066i | ||||
\(213\) | 11.8807 | + | 1.33864i | 0.814055 | + | 0.0917219i | ||||
\(214\) | 10.6307i | 0.726702i | ||||||||
\(215\) | −1.38319 | + | 8.57705i | −0.0943330 | + | 0.584950i | ||||
\(216\) | 6.79796 | − | 5.42119i | 0.462542 | − | 0.368865i | ||||
\(217\) | −0.130403 | + | 0.746307i | −0.00885232 | + | 0.0506626i | ||||
\(218\) | 12.4340 | − | 1.40097i | 0.842136 | − | 0.0948860i | ||||
\(219\) | 16.5321 | + | 13.1839i | 1.11713 | + | 0.890885i | ||||
\(220\) | 6.08811 | − | 1.08716i | 0.410460 | − | 0.0732965i | ||||
\(221\) | −5.71288 | − | 2.75118i | −0.384290 | − | 0.185064i | ||||
\(222\) | 24.1664 | − | 2.72290i | 1.62194 | − | 0.182749i | ||||
\(223\) | −1.60276 | − | 14.2249i | −0.107329 | − | 0.952569i | −0.925798 | − | 0.378018i | \(-0.876606\pi\) |
0.818469 | − | 0.574550i | \(-0.194823\pi\) | |||||||
\(224\) | 2.53889 | + | 0.744340i | 0.169637 | + | 0.0497333i | ||||
\(225\) | 10.2318 | + | 27.7354i | 0.682118 | + | 1.84903i | ||||
\(226\) | −2.44877 | −0.162890 | ||||||||
\(227\) | −0.802933 | − | 0.802933i | −0.0532925 | − | 0.0532925i | 0.679958 | − | 0.733251i | \(-0.261998\pi\) |
−0.733251 | + | 0.679958i | \(0.761998\pi\) | |||||||
\(228\) | −1.90606 | + | 16.9168i | −0.126232 | + | 1.12034i | ||||
\(229\) | −0.147409 | − | 0.645843i | −0.00974108 | − | 0.0426785i | 0.969824 | − | 0.243807i | \(-0.0783963\pi\) |
−0.979565 | + | 0.201128i | \(0.935539\pi\) | |||||||
\(230\) | 0.712862 | + | 3.99202i | 0.0470047 | + | 0.263226i | ||||
\(231\) | 16.2206 | + | 14.6328i | 1.06723 | + | 0.962770i | ||||
\(232\) | −1.61819 | + | 4.62452i | −0.106239 | + | 0.303615i | ||||
\(233\) | −1.60190 | + | 14.2173i | −0.104944 | + | 0.931404i | 0.825358 | + | 0.564610i | \(0.190973\pi\) |
−0.930302 | + | 0.366794i | \(0.880455\pi\) | |||||||
\(234\) | −4.93607 | + | 2.37708i | −0.322681 | + | 0.155395i | ||||
\(235\) | −8.70816 | + | 0.562537i | −0.568057 | + | 0.0366959i | ||||
\(236\) | −0.900983 | + | 1.87091i | −0.0586490 | + | 0.121786i | ||||
\(237\) | 23.2357 | − | 14.6000i | 1.50932 | − | 0.948370i | ||||
\(238\) | 14.7163 | + | 10.5458i | 0.953919 | + | 0.683583i | ||||
\(239\) | 1.89106 | − | 0.431622i | 0.122322 | − | 0.0279193i | −0.160921 | − | 0.986967i | \(-0.551447\pi\) |
0.283244 | + | 0.959048i | \(0.408589\pi\) | |||||||
\(240\) | 2.50266 | − | 6.18863i | 0.161546 | − | 0.399475i | ||||
\(241\) | −13.9676 | − | 11.1388i | −0.899731 | − | 0.717511i | 0.0600700 | − | 0.998194i | \(-0.480868\pi\) |
−0.959801 | + | 0.280683i | \(0.909439\pi\) | |||||||
\(242\) | 1.78263 | + | 2.83704i | 0.114592 | + | 0.182372i | ||||
\(243\) | −0.510122 | + | 1.45784i | −0.0327243 | + | 0.0935208i | ||||
\(244\) | −11.0825 | −0.709487 | ||||||||
\(245\) | −15.6287 | + | 0.862632i | −0.998480 | + | 0.0551115i | ||||
\(246\) | −31.9913 | −2.03969 | ||||||||
\(247\) | 1.74517 | − | 4.98742i | 0.111043 | − | 0.317342i | ||||
\(248\) | −0.152348 | − | 0.242460i | −0.00967411 | − | 0.0153963i | ||||
\(249\) | 17.1417 | + | 13.6701i | 1.08631 | + | 0.866305i | ||||
\(250\) | 8.52181 | + | 7.23732i | 0.538967 | + | 0.457728i | ||||
\(251\) | 24.1209 | − | 5.50543i | 1.52250 | − | 0.347500i | 0.622228 | − | 0.782836i | \(-0.286228\pi\) |
0.900268 | + | 0.435336i | \(0.143371\pi\) | |||||||
\(252\) | 15.0517 | − | 4.26007i | 0.948171 | − | 0.268359i | ||||
\(253\) | 4.24698 | − | 2.66855i | 0.267005 | − | 0.167770i | ||||
\(254\) | −1.15966 | + | 2.40806i | −0.0727635 | + | 0.151095i | ||||
\(255\) | 30.1515 | − | 34.3160i | 1.88816 | − | 2.14895i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | 1.25937 | − | 11.1772i | 0.0785571 | − | 0.697213i | −0.891279 | − | 0.453455i | \(-0.850191\pi\) |
0.969836 | − | 0.243758i | \(-0.0783802\pi\) | |||||||
\(258\) | 3.83097 | − | 10.9483i | 0.238506 | − | 0.681610i | ||||
\(259\) | 20.6821 | + | 6.06349i | 1.28512 | + | 0.376767i | ||||
\(260\) | −1.18474 | + | 1.69985i | −0.0734746 | + | 0.105420i | ||||
\(261\) | 6.44600 | + | 28.2418i | 0.398997 | + | 1.74812i | ||||
\(262\) | 0.376906 | − | 3.34513i | 0.0232853 | − | 0.206663i | ||||
\(263\) | 10.5821 | + | 10.5821i | 0.652518 | + | 0.652518i | 0.953599 | − | 0.301081i | \(-0.0973473\pi\) |
−0.301081 | + | 0.953599i | \(0.597347\pi\) | |||||||
\(264\) | −8.25683 | −0.508173 | ||||||||
\(265\) | 19.6210 | − | 11.0605i | 1.20531 | − | 0.679444i | ||||
\(266\) | −7.35971 | + | 13.1703i | −0.451253 | + | 0.807521i | ||||
\(267\) | −1.87485 | − | 16.6397i | −0.114739 | − | 1.01833i | ||||
\(268\) | −14.9520 | + | 1.68469i | −0.913340 | + | 0.102909i | ||||
\(269\) | −19.6198 | − | 9.44840i | −1.19624 | − | 0.576079i | −0.273638 | − | 0.961833i | \(-0.588227\pi\) |
−0.922602 | + | 0.385754i | \(0.873941\pi\) | |||||||
\(270\) | −3.41780 | − | 19.1396i | −0.208000 | − | 1.16480i | ||||
\(271\) | 2.56574 | + | 2.04611i | 0.155858 | + | 0.124292i | 0.698314 | − | 0.715792i | \(-0.253934\pi\) |
−0.542456 | + | 0.840084i | \(0.682505\pi\) | |||||||
\(272\) | −6.79995 | + | 0.766171i | −0.412308 | + | 0.0464559i | ||||
\(273\) | −7.30928 | + | 0.376138i | −0.442378 | + | 0.0227649i | ||||
\(274\) | −9.44345 | + | 7.53090i | −0.570499 | + | 0.454958i | ||||
\(275\) | 4.34719 | − | 13.1277i | 0.262145 | − | 0.791631i | ||||
\(276\) | − | 5.41407i | − | 0.325889i | ||||||
\(277\) | 26.7179 | + | 3.01039i | 1.60532 | + | 0.180877i | 0.868670 | − | 0.495392i | \(-0.164975\pi\) |
0.736655 | + | 0.676268i | \(0.236404\pi\) | |||||||
\(278\) | 0.957196 | + | 0.601446i | 0.0574088 | + | 0.0360723i | ||||
\(279\) | −1.52539 | − | 0.734587i | −0.0913224 | − | 0.0439786i | ||||
\(280\) | 4.16769 | − | 4.19885i | 0.249067 | − | 0.250929i | ||||
\(281\) | 8.02944 | − | 3.86678i | 0.478996 | − | 0.230673i | −0.178775 | − | 0.983890i | \(-0.557213\pi\) |
0.657772 | + | 0.753217i | \(0.271499\pi\) | |||||||
\(282\) | 11.5773 | + | 1.30444i | 0.689416 | + | 0.0776785i | ||||
\(283\) | −5.68681 | + | 16.2520i | −0.338046 | + | 0.966079i | 0.641895 | + | 0.766792i | \(0.278148\pi\) |
−0.979941 | + | 0.199287i | \(0.936137\pi\) | |||||||
\(284\) | −3.90441 | + | 0.891157i | −0.231684 | + | 0.0528804i | ||||
\(285\) | 31.2296 | + | 21.7661i | 1.84988 | + | 1.28931i | ||||
\(286\) | 2.49854 | + | 0.570275i | 0.147742 | + | 0.0337211i | ||||
\(287\) | −26.1426 | − | 10.9724i | −1.54315 | − | 0.647678i | ||||
\(288\) | −3.14564 | + | 5.00625i | −0.185359 | + | 0.294996i | ||||
\(289\) | −29.0786 | − | 6.63700i | −1.71050 | − | 0.390412i | ||||
\(290\) | 7.36862 | + | 8.10723i | 0.432700 | + | 0.476073i | ||||
\(291\) | 9.03796 | − | 39.5979i | 0.529814 | − | 2.32127i | ||||
\(292\) | −6.68549 | − | 2.33935i | −0.391238 | − | 0.136900i | ||||
\(293\) | 14.3751 | − | 14.3751i | 0.839803 | − | 0.839803i | −0.149030 | − | 0.988833i | \(-0.547615\pi\) |
0.988833 | + | 0.149030i | \(0.0476150\pi\) | |||||||
\(294\) | 20.7434 | + | 2.53427i | 1.20978 | + | 0.147801i | ||||
\(295\) | 2.71870 | + | 3.76418i | 0.158289 | + | 0.219159i | ||||
\(296\) | −7.33941 | + | 3.53447i | −0.426594 | + | 0.205437i | ||||
\(297\) | −20.3620 | + | 12.7943i | −1.18152 | + | 0.742401i | ||||
\(298\) | 19.2198 | − | 2.16555i | 1.11337 | − | 0.125447i | ||||
\(299\) | −0.373934 | + | 1.63831i | −0.0216252 | + | 0.0947461i | ||||
\(300\) | −9.50173 | − | 11.5122i | −0.548582 | − | 0.664654i | ||||
\(301\) | 6.88562 | − | 7.63274i | 0.396881 | − | 0.439944i | ||||
\(302\) | −0.310955 | − | 0.494882i | −0.0178934 | − | 0.0284773i | ||||
\(303\) | 3.07792 | + | 8.79619i | 0.176822 | + | 0.505328i | ||||
\(304\) | −1.26890 | − | 5.55942i | −0.0727765 | − | 0.318855i | ||||
\(305\) | −11.8044 | + | 21.7892i | −0.675917 | + | 1.24765i | ||||
\(306\) | −31.6322 | + | 25.2258i | −1.80829 | + | 1.44207i | ||||
\(307\) | 25.0084 | + | 8.75081i | 1.42730 | + | 0.499435i | 0.929812 | − | 0.368034i | \(-0.119969\pi\) |
0.497491 | + | 0.867469i | \(0.334255\pi\) | |||||||
\(308\) | −6.74729 | − | 2.83193i | −0.384463 | − | 0.161364i | ||||
\(309\) | 5.57037 | − | 11.5670i | 0.316887 | − | 0.658023i | ||||
\(310\) | −0.638969 | + | 0.0412767i | −0.0362910 | + | 0.00234436i | ||||
\(311\) | −6.11233 | + | 4.87442i | −0.346599 | + | 0.276403i | −0.781279 | − | 0.624181i | \(-0.785433\pi\) |
0.434681 | + | 0.900585i | \(0.356861\pi\) | |||||||
\(312\) | 1.95607 | − | 1.95607i | 0.110741 | − | 0.110741i | ||||
\(313\) | −17.8369 | + | 17.8369i | −1.00820 | + | 1.00820i | −0.00823647 | + | 0.999966i | \(0.502622\pi\) |
−0.999966 | + | 0.00823647i | \(0.997378\pi\) | |||||||
\(314\) | 0.0307184 | + | 0.0385197i | 0.00173354 | + | 0.00217379i | ||||
\(315\) | 7.65645 | − | 34.1306i | 0.431392 | − | 1.92304i | ||||
\(316\) | −5.73117 | + | 7.18667i | −0.322404 | + | 0.404281i | ||||
\(317\) | −1.89449 | − | 16.8140i | −0.106405 | − | 0.944370i | −0.927562 | − | 0.373668i | \(-0.878100\pi\) |
0.821158 | − | 0.570702i | \(-0.193329\pi\) | |||||||
\(318\) | −28.3840 | + | 9.93199i | −1.59169 | + | 0.556958i | ||||
\(319\) | 5.87943 | − | 12.2088i | 0.329185 | − | 0.683560i | ||||
\(320\) | −0.106599 | + | 2.23353i | −0.00595905 | + | 0.124858i | ||||
\(321\) | −24.8128 | − | 19.7876i | −1.38492 | − | 1.10443i | ||||
\(322\) | 1.85692 | − | 4.42426i | 0.103482 | − | 0.246554i | ||||
\(323\) | 4.36901 | − | 38.7760i | 0.243098 | − | 2.15756i | ||||
\(324\) | 8.22013i | 0.456674i | ||||||||
\(325\) | 2.08014 | + | 4.13987i | 0.115385 | + | 0.229638i | ||||
\(326\) | −11.4820 | − | 14.3980i | −0.635930 | − | 0.797431i | ||||
\(327\) | −19.8741 | + | 31.6295i | −1.09904 | + | 1.74911i | ||||
\(328\) | 10.1146 | − | 3.53926i | 0.558487 | − | 0.195423i | ||||
\(329\) | 9.01328 | + | 5.03673i | 0.496918 | + | 0.277684i | ||||
\(330\) | −8.79462 | + | 16.2336i | −0.484128 | + | 0.893632i | ||||
\(331\) | 12.3211 | + | 15.4502i | 0.677229 | + | 0.849218i | 0.995096 | − | 0.0989175i | \(-0.0315380\pi\) |
−0.317867 | + | 0.948135i | \(0.602967\pi\) | |||||||
\(332\) | −6.93202 | − | 2.42562i | −0.380444 | − | 0.133123i | ||||
\(333\) | −25.6248 | + | 40.7816i | −1.40423 | + | 2.23482i | ||||
\(334\) | 12.7434 | + | 6.13689i | 0.697286 | + | 0.335795i | ||||
\(335\) | −12.6136 | + | 31.1914i | −0.689157 | + | 1.70417i | ||||
\(336\) | −6.46311 | + | 4.54045i | −0.352592 | + | 0.247702i | ||||
\(337\) | −2.34657 | − | 1.47445i | −0.127826 | − | 0.0803184i | 0.466601 | − | 0.884468i | \(-0.345478\pi\) |
−0.594427 | + | 0.804149i | \(0.702621\pi\) | |||||||
\(338\) | 10.2804 | − | 6.45960i | 0.559180 | − | 0.351356i | ||||
\(339\) | 4.55803 | − | 5.71558i | 0.247558 | − | 0.310428i | ||||
\(340\) | −5.73650 | + | 14.1854i | −0.311105 | + | 0.769309i | ||||
\(341\) | 0.343626 | + | 0.713546i | 0.0186084 | + | 0.0386407i | ||||
\(342\) | −23.8404 | − | 23.8404i | −1.28914 | − | 1.28914i | ||||
\(343\) | 16.0819 | + | 9.18552i | 0.868339 | + | 0.495972i | ||||
\(344\) | 3.88533i | 0.209483i | ||||||||
\(345\) | −10.6445 | − | 5.76671i | −0.573082 | − | 0.310469i | ||||
\(346\) | −17.0279 | − | 3.88651i | −0.915427 | − | 0.208940i | ||||
\(347\) | 0.781678 | + | 6.93758i | 0.0419627 | + | 0.372429i | 0.997090 | + | 0.0762335i | \(0.0242894\pi\) |
−0.955127 | + | 0.296196i | \(0.904282\pi\) | |||||||
\(348\) | −7.78191 | − | 12.3848i | −0.417154 | − | 0.663897i | ||||
\(349\) | 0.538157 | + | 2.35782i | 0.0288069 | + | 0.126211i | 0.987287 | − | 0.158949i | \(-0.0508104\pi\) |
−0.958480 | + | 0.285160i | \(0.907953\pi\) | |||||||
\(350\) | −3.81616 | − | 12.6664i | −0.203982 | − | 0.677046i | ||||
\(351\) | 1.79282 | − | 7.85485i | 0.0956936 | − | 0.419261i | ||||
\(352\) | 2.61055 | − | 0.913471i | 0.139143 | − | 0.0486881i | ||||
\(353\) | −20.1145 | − | 12.6387i | −1.07058 | − | 0.672693i | −0.123067 | − | 0.992398i | \(-0.539273\pi\) |
−0.947517 | + | 0.319706i | \(0.896416\pi\) | |||||||
\(354\) | −2.68978 | − | 5.58538i | −0.142960 | − | 0.296859i | ||||
\(355\) | −2.40663 | + | 8.62561i | −0.127730 | + | 0.457800i | ||||
\(356\) | 2.43366 | + | 5.05354i | 0.128983 | + | 0.267837i | ||||
\(357\) | −52.0069 | + | 14.7194i | −2.75250 | + | 0.779034i | ||||
\(358\) | 7.32401 | + | 20.9308i | 0.387086 | + | 1.10623i | ||||
\(359\) | −4.92979 | + | 1.12519i | −0.260184 | + | 0.0593854i | −0.350623 | − | 0.936517i | \(-0.614030\pi\) |
0.0904389 | + | 0.995902i | \(0.471173\pi\) | |||||||
\(360\) | 6.49220 | + | 11.5169i | 0.342169 | + | 0.606995i | ||||
\(361\) | 13.5173 | 0.711438 | ||||||||
\(362\) | −9.51514 | − | 9.51514i | −0.500105 | − | 0.500105i | ||||
\(363\) | −9.93993 | − | 1.11996i | −0.521711 | − | 0.0587827i | ||||
\(364\) | 2.26935 | − | 0.927564i | 0.118946 | − | 0.0486176i | ||||
\(365\) | −11.7203 | + | 10.6525i | −0.613468 | + | 0.557578i | ||||
\(366\) | 20.6285 | − | 25.8674i | 1.07827 | − | 1.35211i | ||||
\(367\) | 6.31628 | + | 18.0509i | 0.329707 | + | 0.942249i | 0.982752 | + | 0.184930i | \(0.0592057\pi\) |
−0.653045 | + | 0.757319i | \(0.726509\pi\) | |||||||
\(368\) | 0.598971 | + | 1.71176i | 0.0312235 | + | 0.0892316i | ||||
\(369\) | 39.5032 | − | 49.5354i | 2.05645 | − | 2.57871i | ||||
\(370\) | −0.868367 | + | 18.1946i | −0.0451443 | + | 0.945891i | ||||
\(371\) | −26.6012 | − | 1.61894i | −1.38107 | − | 0.0840514i | ||||
\(372\) | 0.849492 | + | 0.0957147i | 0.0440441 | + | 0.00496258i | ||||
\(373\) | −1.72291 | − | 1.72291i | −0.0892087 | − | 0.0892087i | 0.661094 | − | 0.750303i | \(-0.270092\pi\) |
−0.750303 | + | 0.661094i | \(0.770092\pi\) | |||||||
\(374\) | 18.9260 | 0.978640 | ||||||||
\(375\) | −32.7545 | + | 6.41924i | −1.69143 | + | 0.331488i | ||||
\(376\) | −3.80468 | + | 0.868393i | −0.196211 | + | 0.0447840i | ||||
\(377\) | 1.49944 | + | 4.28516i | 0.0772252 | + | 0.220697i | ||||
\(378\) | −8.90294 | + | 21.2120i | −0.457918 | + | 1.09103i | ||||
\(379\) | −4.38630 | − | 9.10824i | −0.225309 | − | 0.467859i | 0.757416 | − | 0.652933i | \(-0.226462\pi\) |
−0.982725 | + | 0.185074i | \(0.940747\pi\) | |||||||
\(380\) | −12.2819 | − | 3.42675i | −0.630046 | − | 0.175789i | ||||
\(381\) | −3.46202 | − | 7.18897i | −0.177365 | − | 0.368302i | ||||
\(382\) | 17.5065 | + | 11.0001i | 0.895712 | + | 0.562813i | ||||
\(383\) | 20.5621 | − | 7.19498i | 1.05067 | − | 0.367646i | 0.250940 | − | 0.968003i | \(-0.419260\pi\) |
0.799733 | + | 0.600356i | \(0.204975\pi\) | |||||||
\(384\) | 0.664310 | − | 2.91053i | 0.0339004 | − | 0.148527i | ||||
\(385\) | −12.7546 | + | 10.2494i | −0.650033 | + | 0.522357i | ||||
\(386\) | 4.66898 | + | 20.4561i | 0.237645 | + | 1.04119i | ||||
\(387\) | 12.2218 | + | 19.4510i | 0.621271 | + | 0.988748i | ||||
\(388\) | 1.52328 | + | 13.5195i | 0.0773328 | + | 0.686348i | ||||
\(389\) | −34.0067 | − | 7.76180i | −1.72421 | − | 0.393539i | −0.758193 | − | 0.652030i | \(-0.773918\pi\) |
−0.966014 | + | 0.258491i | \(0.916775\pi\) | |||||||
\(390\) | −1.76233 | − | 5.92928i | −0.0892390 | − | 0.300241i | ||||
\(391\) | 12.4099i | 0.627598i | ||||||||
\(392\) | −6.83879 | + | 1.49364i | −0.345411 | + | 0.0754400i | ||||
\(393\) | 7.10619 | + | 7.10619i | 0.358460 | + | 0.358460i | ||||
\(394\) | −0.111611 | − | 0.231763i | −0.00562288 | − | 0.0116760i | ||||
\(395\) | 8.02514 | + | 18.9227i | 0.403789 | + | 0.952106i | ||||
\(396\) | 10.1956 | − | 12.7849i | 0.512349 | − | 0.642466i | ||||
\(397\) | 18.0636 | − | 11.3501i | 0.906584 | − | 0.569645i | 0.00392093 | − | 0.999992i | \(-0.498752\pi\) |
0.902663 | + | 0.430348i | \(0.141609\pi\) | |||||||
\(398\) | 17.0078 | + | 10.6867i | 0.852524 | + | 0.535677i | ||||
\(399\) | −17.0412 | − | 41.6926i | −0.853129 | − | 2.08724i | ||||
\(400\) | 4.27776 | + | 2.58858i | 0.213888 | + | 0.129429i | ||||
\(401\) | −15.0276 | − | 7.23690i | −0.750441 | − | 0.361393i | 0.0192459 | − | 0.999815i | \(-0.493873\pi\) |
−0.769687 | + | 0.638421i | \(0.779588\pi\) | |||||||
\(402\) | 23.8988 | − | 38.0348i | 1.19197 | − | 1.89700i | ||||
\(403\) | −0.250448 | − | 0.0876355i | −0.0124757 | − | 0.00436543i | ||||
\(404\) | −1.94628 | − | 2.44056i | −0.0968311 | − | 0.121422i | ||||
\(405\) | 16.1615 | + | 8.75553i | 0.803070 | + | 0.435066i | ||||
\(406\) | −2.11145 | − | 12.7896i | −0.104789 | − | 0.634739i | ||||
\(407\) | 21.2659 | − | 7.44125i | 1.05411 | − | 0.368849i | ||||
\(408\) | 10.8688 | − | 17.2976i | 0.538087 | − | 0.856361i | ||||
\(409\) | −0.822013 | − | 1.03077i | −0.0406459 | − | 0.0509684i | 0.761093 | − | 0.648643i | \(-0.224663\pi\) |
−0.801739 | + | 0.597674i | \(0.796092\pi\) | |||||||
\(410\) | 3.81493 | − | 23.6560i | 0.188406 | − | 1.16829i | ||||
\(411\) | − | 36.0593i | − | 1.77867i | ||||||
\(412\) | −0.481494 | + | 4.27338i | −0.0237215 | + | 0.210534i | ||||
\(413\) | −0.282352 | − | 5.48678i | −0.0138936 | − | 0.269987i | ||||
\(414\) | 8.38318 | + | 6.68536i | 0.412011 | + | 0.328567i | ||||
\(415\) | −12.1525 | + | 11.0453i | −0.596542 | + | 0.542194i | ||||
\(416\) | −0.402044 | + | 0.834853i | −0.0197118 | + | 0.0409320i | ||||
\(417\) | −3.18549 | + | 1.11465i | −0.155994 | + | 0.0545848i | ||||
\(418\) | 1.76584 | + | 15.6723i | 0.0863700 | + | 0.766555i | ||||
\(419\) | 10.6506 | − | 13.3555i | 0.520317 | − | 0.652457i | −0.450359 | − | 0.892848i | \(-0.648704\pi\) |
0.970676 | + | 0.240390i | \(0.0772755\pi\) | |||||||
\(420\) | 2.04284 | + | 17.5432i | 0.0996805 | + | 0.856021i | ||||
\(421\) | −17.9294 | − | 22.4827i | −0.873824 | − | 1.09574i | −0.994674 | − | 0.103070i | \(-0.967133\pi\) |
0.120850 | − | 0.992671i | \(-0.461438\pi\) | |||||||
\(422\) | −17.5138 | + | 17.5138i | −0.852557 | + | 0.852557i | ||||
\(423\) | −16.3155 | + | 16.3155i | −0.793289 | + | 0.793289i | ||||
\(424\) | 7.87533 | − | 6.28036i | 0.382460 | − | 0.305001i | ||||
\(425\) | 21.7795 | + | 26.3877i | 1.05646 | + | 1.27999i | ||||
\(426\) | 5.18748 | − | 10.7719i | 0.251334 | − | 0.521901i | ||||
\(427\) | 25.7292 | − | 14.0631i | 1.24512 | − | 0.680559i | ||||
\(428\) | 10.0342 | + | 3.51111i | 0.485020 | + | 0.169716i | ||||
\(429\) | −5.98173 | + | 4.77027i | −0.288800 | + | 0.230311i | ||||
\(430\) | 7.63889 | + | 4.13839i | 0.368380 | + | 0.199571i | ||||
\(431\) | 2.18007 | + | 9.55153i | 0.105010 | + | 0.460081i | 0.999905 | + | 0.0138027i | \(0.00439369\pi\) |
−0.894894 | + | 0.446278i | \(0.852749\pi\) | |||||||
\(432\) | −2.87175 | − | 8.20698i | −0.138167 | − | 0.394859i | ||||
\(433\) | −13.4240 | − | 21.3642i | −0.645117 | − | 1.02670i | −0.995919 | − | 0.0902480i | \(-0.971234\pi\) |
0.350803 | − | 0.936449i | \(-0.385909\pi\) | |||||||
\(434\) | 0.661357 | + | 0.369575i | 0.0317462 | + | 0.0177401i | ||||
\(435\) | −32.6384 | + | 2.10840i | −1.56489 | + | 0.101090i | ||||
\(436\) | 2.78433 | − | 12.1990i | 0.133345 | − | 0.584224i | ||||
\(437\) | −10.2764 | + | 1.15788i | −0.491588 | + | 0.0553887i | ||||
\(438\) | 17.9043 | − | 11.2500i | 0.855499 | − | 0.537545i | ||||
\(439\) | −19.0647 | + | 9.18109i | −0.909910 | + | 0.438190i | −0.829458 | − | 0.558569i | \(-0.811351\pi\) |
−0.0804519 | + | 0.996758i | \(0.525636\pi\) | |||||||
\(440\) | 0.984620 | − | 6.10553i | 0.0469399 | − | 0.291070i | ||||
\(441\) | −29.5383 | + | 28.9899i | −1.40659 | + | 1.38047i | ||||
\(442\) | −4.48364 | + | 4.48364i | −0.213265 | + | 0.213265i | ||||
\(443\) | −21.5378 | − | 7.53641i | −1.02329 | − | 0.358066i | −0.234101 | − | 0.972212i | \(-0.575215\pi\) |
−0.789192 | + | 0.614147i | \(0.789500\pi\) | |||||||
\(444\) | 5.41155 | − | 23.7096i | 0.256821 | − | 1.12521i | ||||
\(445\) | 12.5279 | + | 0.597913i | 0.593877 | + | 0.0283438i | ||||
\(446\) | −13.9560 | − | 3.18536i | −0.660835 | − | 0.150831i | ||||
\(447\) | −30.7204 | + | 48.8912i | −1.45302 | + | 2.31247i | ||||
\(448\) | 1.54111 | − | 2.15057i | 0.0728107 | − | 0.101605i | ||||
\(449\) | −10.9718 | − | 2.50425i | −0.517793 | − | 0.118183i | −0.0443651 | − | 0.999015i | \(-0.514126\pi\) |
−0.473428 | + | 0.880832i | \(0.656984\pi\) | |||||||
\(450\) | 29.5583 | − | 0.497180i | 1.39339 | − | 0.0234373i | ||||
\(451\) | −28.8947 | + | 6.59502i | −1.36060 | + | 0.310548i | ||||
\(452\) | −0.808777 | + | 2.31135i | −0.0380417 | + | 0.108717i | ||||
\(453\) | 1.73388 | + | 0.195362i | 0.0814650 | + | 0.00917890i | ||||
\(454\) | −1.02307 | + | 0.492683i | −0.0480149 | + | 0.0231228i | ||||
\(455\) | 0.593489 | − | 5.44972i | 0.0278232 | − | 0.255487i | ||||
\(456\) | 15.3379 | + | 7.38636i | 0.718265 | + | 0.345898i | ||||
\(457\) | −24.9097 | − | 15.6518i | −1.16523 | − | 0.732161i | −0.196552 | − | 0.980493i | \(-0.562974\pi\) |
−0.968675 | + | 0.248333i | \(0.920117\pi\) | |||||||
\(458\) | −0.658286 | − | 0.0741710i | −0.0307597 | − | 0.00346579i | ||||
\(459\) | − | 59.4991i | − | 2.77718i | ||||||
\(460\) | 4.00345 | + | 0.645624i | 0.186662 | + | 0.0301024i | ||||
\(461\) | 8.21020 | − | 6.54742i | 0.382387 | − | 0.304944i | −0.413366 | − | 0.910565i | \(-0.635647\pi\) |
0.795753 | + | 0.605621i | \(0.207075\pi\) | |||||||
\(462\) | 19.1690 | − | 10.4774i | 0.891823 | − | 0.487453i | ||||
\(463\) | −24.7688 | + | 2.79077i | −1.15110 | + | 0.129698i | −0.666823 | − | 0.745216i | \(-0.732346\pi\) |
−0.484279 | + | 0.874914i | \(0.660918\pi\) | |||||||
\(464\) | 3.83055 | + | 3.05476i | 0.177829 | + | 0.141814i | ||||
\(465\) | 1.09300 | − | 1.56822i | 0.0506869 | − | 0.0727247i | ||||
\(466\) | 12.8904 | + | 6.20767i | 0.597135 | + | 0.287565i | ||||
\(467\) | −0.769690 | + | 0.0867232i | −0.0356170 | + | 0.00401307i | −0.129755 | − | 0.991546i | \(-0.541419\pi\) |
0.0941380 | + | 0.995559i | \(0.469991\pi\) | |||||||
\(468\) | 0.613411 | + | 5.44417i | 0.0283549 | + | 0.251657i | ||||
\(469\) | 32.5747 | − | 22.8843i | 1.50416 | − | 1.05670i | ||||
\(470\) | −2.34515 | + | 8.40528i | −0.108174 | + | 0.387707i | ||||
\(471\) | −0.147085 | −0.00677733 | ||||||||
\(472\) | 1.46834 | + | 1.46834i | 0.0675861 | + | 0.0675861i | ||||
\(473\) | 1.20316 | − | 10.6783i | 0.0553212 | − | 0.490989i | ||||
\(474\) | −6.10639 | − | 26.7539i | −0.280476 | − | 1.22885i | ||||
\(475\) | −19.8191 | + | 20.4972i | −0.909362 | + | 0.940477i | ||||
\(476\) | 14.8145 | − | 10.4075i | 0.679022 | − | 0.477025i | ||||
\(477\) | 19.6701 | − | 56.2140i | 0.900634 | − | 2.57386i | ||||
\(478\) | 0.217177 | − | 1.92750i | 0.00993343 | − | 0.0881616i | ||||
\(479\) | −1.05643 | + | 0.508749i | −0.0482694 | + | 0.0232453i | −0.457863 | − | 0.889023i | \(-0.651385\pi\) |
0.409593 | + | 0.912268i | \(0.365671\pi\) | |||||||
\(480\) | −5.01477 | − | 4.40619i | −0.228892 | − | 0.201114i | ||||
\(481\) | −3.27510 | + | 6.80082i | −0.149332 | + | 0.310091i | ||||
\(482\) | −15.1269 | + | 9.50486i | −0.689011 | + | 0.432934i | ||||
\(483\) | 6.87012 | + | 12.5693i | 0.312601 | + | 0.571922i | ||||
\(484\) | 3.26660 | − | 0.745580i | 0.148482 | − | 0.0338900i | ||||
\(485\) | 28.2030 | + | 11.4051i | 1.28063 | + | 0.517881i | ||||
\(486\) | 1.20755 | + | 0.962991i | 0.0547757 | + | 0.0436822i | ||||
\(487\) | 4.54328 | + | 7.23059i | 0.205876 | + | 0.327649i | 0.933662 | − | 0.358154i | \(-0.116594\pi\) |
−0.727787 | + | 0.685804i | \(0.759451\pi\) | |||||||
\(488\) | −3.66033 | + | 10.4606i | −0.165695 | + | 0.473530i | ||||
\(489\) | 54.9780 | 2.48619 | ||||||||
\(490\) | −4.34760 | + | 15.0366i | −0.196405 | + | 0.679283i | ||||
\(491\) | 0.593698 | 0.0267932 | 0.0133966 | − | 0.999910i | \(-0.495736\pi\) | ||||
0.0133966 | + | 0.999910i | \(0.495736\pi\) | |||||||
\(492\) | −10.5661 | + | 30.1960i | −0.476354 | + | 1.36134i | ||||
\(493\) | 17.8374 | + | 28.3881i | 0.803356 | + | 1.27853i | ||||
\(494\) | −4.13115 | − | 3.29448i | −0.185869 | − | 0.148226i | ||||
\(495\) | −14.2765 | − | 33.6631i | −0.641682 | − | 1.51304i | ||||
\(496\) | −0.279172 | + | 0.0637191i | −0.0125352 | + | 0.00286107i | ||||
\(497\) | 7.93364 | − | 7.02336i | 0.355872 | − | 0.315041i | ||||
\(498\) | 18.5645 | − | 11.6648i | 0.831895 | − | 0.522714i | ||||
\(499\) | −5.22066 | + | 10.8408i | −0.233709 | + | 0.485301i | −0.984533 | − | 0.175201i | \(-0.943942\pi\) |
0.750824 | + | 0.660502i | \(0.229657\pi\) | |||||||
\(500\) | 9.64576 | − | 5.65326i | 0.431371 | − | 0.252821i | ||||
\(501\) | −38.0438 | + | 18.3209i | −1.69967 | + | 0.818519i | ||||
\(502\) | 2.77013 | − | 24.5856i | 0.123637 | − | 1.09731i | ||||
\(503\) | 6.78125 | − | 19.3797i | 0.302361 | − | 0.864099i | −0.688015 | − | 0.725697i | \(-0.741518\pi\) |
0.990376 | − | 0.138402i | \(-0.0441966\pi\) | |||||||
\(504\) | 0.950270 | − | 15.6141i | 0.0423284 | − | 0.695508i | ||||
\(505\) | −6.87140 | + | 1.22704i | −0.305773 | + | 0.0546024i | ||||
\(506\) | −1.11611 | − | 4.89002i | −0.0496174 | − | 0.217388i | ||||
\(507\) | −4.05834 | + | 36.0187i | −0.180237 | + | 1.59965i | ||||
\(508\) | 1.88991 | + | 1.88991i | 0.0838513 | + | 0.0838513i | ||||
\(509\) | 29.7295 | 1.31774 | 0.658869 | − | 0.752258i | \(-0.271035\pi\) | ||||
0.658869 | + | 0.752258i | \(0.271035\pi\) | |||||||
\(510\) | −22.4319 | − | 39.7933i | −0.993301 | − | 1.76208i | ||||
\(511\) | 18.4895 | − | 3.05244i | 0.817926 | − | 0.135032i | ||||
\(512\) | 0.111964 | + | 0.993712i | 0.00494818 | + | 0.0439163i | ||||
\(513\) | 49.2701 | − | 5.55140i | 2.17533 | − | 0.245100i | ||||
\(514\) | −10.1340 | − | 4.88028i | −0.446992 | − | 0.215260i | ||||
\(515\) | 7.88897 | + | 5.49838i | 0.347630 | + | 0.242287i | ||||
\(516\) | −9.06861 | − | 7.23198i | −0.399223 | − | 0.318370i | ||||
\(517\) | 10.7256 | − | 1.20848i | 0.471709 | − | 0.0531489i | ||||
\(518\) | 12.5541 | − | 17.5189i | 0.551595 | − | 0.769734i | ||||
\(519\) | 40.7664 | − | 32.5101i | 1.78944 | − | 1.42703i | ||||
\(520\) | 1.21316 | + | 1.67968i | 0.0532007 | + | 0.0736589i | ||||
\(521\) | 8.22308i | 0.360260i | 0.983643 | + | 0.180130i | \(0.0576518\pi\) | ||||
−0.983643 | + | 0.180130i | \(0.942348\pi\) | |||||||
\(522\) | 28.7859 | + | 3.24339i | 1.25993 | + | 0.141959i | ||||
\(523\) | 7.77726 | + | 4.88678i | 0.340076 | + | 0.213684i | 0.691232 | − | 0.722633i | \(-0.257068\pi\) |
−0.351156 | + | 0.936317i | \(0.614211\pi\) | |||||||
\(524\) | −3.03293 | − | 1.46058i | −0.132494 | − | 0.0638058i | ||||
\(525\) | 36.6673 | + | 14.6694i | 1.60029 | + | 0.640227i | ||||
\(526\) | 13.4833 | − | 6.49320i | 0.587898 | − | 0.283117i | ||||
\(527\) | −1.94717 | − | 0.219394i | −0.0848202 | − | 0.00955695i | ||||
\(528\) | −2.72706 | + | 7.79348i | −0.118680 | + | 0.339168i | ||||
\(529\) | −19.2169 | + | 4.38614i | −0.835518 | + | 0.190702i | ||||
\(530\) | −3.95946 | − | 22.1730i | −0.171988 | − | 0.963133i | ||||
\(531\) | 11.9698 | + | 2.73203i | 0.519445 | + | 0.118560i | ||||
\(532\) | 10.0004 | + | 11.2966i | 0.433574 | + | 0.489768i | ||||
\(533\) | 5.28287 | − | 8.40764i | 0.228827 | − | 0.364175i | ||||
\(534\) | −16.3252 | − | 3.72612i | −0.706460 | − | 0.161245i | ||||
\(535\) | 17.5909 | − | 15.9882i | 0.760519 | − | 0.691232i | ||||
\(536\) | −3.34819 | + | 14.6694i | −0.144620 | + | 0.633621i | ||||
\(537\) | −62.4865 | − | 21.8650i | −2.69649 | − | 0.943543i | ||||
\(538\) | −15.3982 | + | 15.3982i | −0.663863 | + | 0.663863i | ||||
\(539\) | 19.2580 | − | 1.98731i | 0.829501 | − | 0.0855995i | ||||
\(540\) | −19.1944 | − | 3.09542i | −0.825996 | − | 0.133206i | ||||
\(541\) | 29.4818 | − | 14.1977i | 1.26752 | − | 0.610406i | 0.325367 | − | 0.945588i | \(-0.394512\pi\) |
0.942153 | + | 0.335182i | \(0.108798\pi\) | |||||||
\(542\) | 2.77870 | − | 1.74597i | 0.119355 | − | 0.0749960i | ||||
\(543\) | 39.9200 | − | 4.49791i | 1.71313 | − | 0.193024i | ||||
\(544\) | −1.52271 | + | 6.67141i | −0.0652855 | + | 0.286034i | ||||
\(545\) | −21.0185 | − | 18.4677i | −0.900334 | − | 0.791071i | ||||
\(546\) | −2.05907 | + | 7.02334i | −0.0881201 | + | 0.300571i | ||||
\(547\) | 15.3263 | + | 24.3917i | 0.655307 | + | 1.04291i | 0.994755 | + | 0.102290i | \(0.0326168\pi\) |
−0.339448 | + | 0.940625i | \(0.610240\pi\) | |||||||
\(548\) | 3.98932 | + | 11.4008i | 0.170415 | + | 0.487018i | ||||
\(549\) | 14.5808 | + | 63.8826i | 0.622293 | + | 2.72644i | ||||
\(550\) | −10.9552 | − | 8.43905i | −0.467133 | − | 0.359842i | ||||
\(551\) | −21.8433 | + | 17.4195i | −0.930557 | + | 0.742095i | ||||
\(552\) | −5.11025 | − | 1.78816i | −0.217507 | − | 0.0761089i | ||||
\(553\) | 4.18603 | − | 23.9570i | 0.178008 | − | 1.01876i | ||||
\(554\) | 11.6658 | − | 24.2243i | 0.495634 | − | 1.02919i | ||||
\(555\) | −40.8510 | − | 35.8934i | −1.73403 | − | 1.52359i | ||||
\(556\) | 0.883836 | − | 0.704836i | 0.0374830 | − | 0.0298917i | ||||
\(557\) | 19.9445 | − | 19.9445i | 0.845077 | − | 0.845077i | −0.144437 | − | 0.989514i | \(-0.546137\pi\) |
0.989514 | + | 0.144437i | \(0.0461372\pi\) | |||||||
\(558\) | −1.19717 | + | 1.19717i | −0.0506801 | + | 0.0506801i | ||||
\(559\) | 2.24470 | + | 2.81476i | 0.0949405 | + | 0.119052i | ||||
\(560\) | −2.58673 | − | 5.32061i | −0.109309 | − | 0.224837i | ||||
\(561\) | −35.2280 | + | 44.1745i | −1.48733 | + | 1.86505i | ||||
\(562\) | −0.997829 | − | 8.85597i | −0.0420909 | − | 0.373567i | ||||
\(563\) | −27.6828 | + | 9.68664i | −1.16669 | + | 0.408243i | −0.842997 | − | 0.537918i | \(-0.819211\pi\) |
−0.323695 | + | 0.946162i | \(0.604925\pi\) | |||||||
\(564\) | 5.05497 | − | 10.4968i | 0.212853 | − | 0.441993i | ||||
\(565\) | 3.68286 | + | 4.05202i | 0.154939 | + | 0.170470i | ||||
\(566\) | 13.4617 | + | 10.7354i | 0.565839 | + | 0.451241i | ||||
\(567\) | −10.4308 | − | 19.0838i | −0.438054 | − | 0.801444i | ||||
\(568\) | −0.448398 | + | 3.97964i | −0.0188143 | + | 0.166982i | ||||
\(569\) | 2.24019i | 0.0939135i | 0.998897 | + | 0.0469567i | \(0.0149523\pi\) | ||||
−0.998897 | + | 0.0469567i | \(0.985048\pi\) | |||||||
\(570\) | 30.8591 | − | 22.2882i | 1.29255 | − | 0.933552i | ||||
\(571\) | −10.6930 | − | 13.4086i | −0.447489 | − | 0.561134i | 0.506011 | − | 0.862527i | \(-0.331120\pi\) |
−0.953500 | + | 0.301394i | \(0.902548\pi\) | |||||||
\(572\) | 1.36349 | − | 2.16998i | 0.0570103 | − | 0.0907314i | ||||
\(573\) | −58.2608 | + | 20.3863i | −2.43388 | + | 0.851651i | ||||
\(574\) | −18.9910 | + | 21.0516i | −0.792668 | + | 0.878676i | ||||
\(575\) | 5.53356 | − | 7.18345i | 0.230765 | − | 0.299571i | ||||
\(576\) | 3.68638 | + | 4.62258i | 0.153599 | + | 0.192607i | ||||
\(577\) | −13.1587 | − | 4.60442i | −0.547803 | − | 0.191684i | 0.0421660 | − | 0.999111i | \(-0.486574\pi\) |
−0.589969 | + | 0.807426i | \(0.700860\pi\) | |||||||
\(578\) | −15.8686 | + | 25.2547i | −0.660047 | + | 1.05046i | ||||
\(579\) | −56.4365 | − | 27.1784i | −2.34542 | − | 1.12950i | ||||
\(580\) | 10.0860 | − | 4.27747i | 0.418797 | − | 0.177612i | ||||
\(581\) | 19.1713 | − | 3.16500i | 0.795359 | − | 0.131306i | ||||
\(582\) | −34.3907 | − | 21.6091i | −1.42554 | − | 0.895727i | ||||
\(583\) | −23.5891 | + | 14.8220i | −0.976960 | + | 0.613864i | ||||
\(584\) | −4.41615 | + | 5.53768i | −0.182742 | + | 0.229151i | ||||
\(585\) | 11.3571 | + | 4.59275i | 0.469557 | + | 0.189887i | ||||
\(586\) | −8.82063 | − | 18.3162i | −0.364377 | − | 0.756636i | ||||
\(587\) | −5.93272 | − | 5.93272i | −0.244870 | − | 0.244870i | 0.573992 | − | 0.818861i | \(-0.305394\pi\) |
−0.818861 | + | 0.573992i | \(0.805394\pi\) | |||||||
\(588\) | 9.24317 | − | 18.7424i | 0.381182 | − | 0.772922i | ||||
\(589\) | − | 1.63289i | − | 0.0672819i | ||||||
\(590\) | 4.45087 | − | 1.32291i | 0.183240 | − | 0.0544633i | ||||
\(591\) | 0.748696 | + | 0.170885i | 0.0307972 | + | 0.00702927i | ||||
\(592\) | 0.912077 | + | 8.09491i | 0.0374861 | + | 0.332699i | ||||
\(593\) | 3.52450 | + | 5.60921i | 0.144734 | + | 0.230342i | 0.911222 | − | 0.411916i | \(-0.135140\pi\) |
−0.766488 | + | 0.642259i | \(0.777997\pi\) | |||||||
\(594\) | 5.35118 | + | 23.4451i | 0.219562 | + | 0.961962i | ||||
\(595\) | −4.68253 | − | 40.2119i | −0.191965 | − | 1.64853i | ||||
\(596\) | 4.30388 | − | 18.8565i | 0.176294 | − | 0.772393i | ||||
\(597\) | −56.6010 | + | 19.8056i | −2.31653 | + | 0.810588i | ||||
\(598\) | 1.42287 | + | 0.894051i | 0.0581857 | + | 0.0365605i | ||||
\(599\) | 6.65210 | + | 13.8132i | 0.271797 | + | 0.564393i | 0.991533 | − | 0.129855i | \(-0.0414513\pi\) |
−0.719736 | + | 0.694248i | \(0.755737\pi\) | |||||||
\(600\) | −14.0043 | + | 5.16630i | −0.571725 | + | 0.210913i | ||||
\(601\) | −2.16953 | − | 4.50508i | −0.0884971 | − | 0.183766i | 0.852023 | − | 0.523505i | \(-0.175376\pi\) |
−0.940520 | + | 0.339738i | \(0.889661\pi\) | |||||||
\(602\) | −4.93024 | − | 9.02016i | −0.200942 | − | 0.367634i | ||||
\(603\) | 29.3827 | + | 83.9708i | 1.19655 | + | 3.41956i | ||||
\(604\) | −0.569813 | + | 0.130056i | −0.0231853 | + | 0.00529190i | ||||
\(605\) | 2.01349 | − | 7.21655i | 0.0818599 | − | 0.293395i | ||||
\(606\) | 9.31915 | 0.378564 | ||||||||
\(607\) | −22.6990 | − | 22.6990i | −0.921322 | − | 0.921322i | 0.0758009 | − | 0.997123i | \(-0.475849\pi\) |
−0.997123 | + | 0.0758009i | \(0.975849\pi\) | |||||||
\(608\) | −5.66654 | − | 0.638466i | −0.229809 | − | 0.0258932i | ||||
\(609\) | 33.7820 | + | 18.8778i | 1.36892 | + | 0.764967i | ||||
\(610\) | 16.6678 | + | 18.3385i | 0.674857 | + | 0.742503i | ||||
\(611\) | −2.25463 | + | 2.82721i | −0.0912125 | + | 0.114377i | ||||
\(612\) | 13.3628 | + | 38.1887i | 0.540159 | + | 1.54369i | ||||
\(613\) | 8.82320 | + | 25.2153i | 0.356366 | + | 1.01843i | 0.972924 | + | 0.231125i | \(0.0742407\pi\) |
−0.616558 | + | 0.787309i | \(0.711474\pi\) | |||||||
\(614\) | 16.5195 | − | 20.7148i | 0.666672 | − | 0.835980i | ||||
\(615\) | 48.1138 | + | 52.9365i | 1.94013 | + | 2.13461i | ||||
\(616\) | −4.90150 | + | 5.43333i | −0.197487 | + | 0.218915i | ||||
\(617\) | 39.1205 | + | 4.40783i | 1.57493 | + | 0.177452i | 0.855758 | − | 0.517376i | \(-0.173091\pi\) |
0.719175 | + | 0.694828i | \(0.244520\pi\) | |||||||
\(618\) | −9.07811 | − | 9.07811i | −0.365175 | − | 0.365175i | ||||
\(619\) | −3.38449 | −0.136034 | −0.0680171 | − | 0.997684i | \(-0.521667\pi\) | ||||
−0.0680171 | + | 0.997684i | \(0.521667\pi\) | |||||||
\(620\) | −0.172078 | + | 0.616745i | −0.00691080 | + | 0.0247691i | ||||
\(621\) | −15.3731 | + | 3.50882i | −0.616902 | + | 0.140804i | ||||
\(622\) | 2.58211 | + | 7.37925i | 0.103533 | + | 0.295881i | ||||
\(623\) | −12.0626 | − | 8.64410i | −0.483277 | − | 0.346319i | ||||
\(624\) | −1.20025 | − | 2.49235i | −0.0480486 | − | 0.0997740i | ||||
\(625\) | −0.840779 | − | 24.9859i | −0.0336311 | − | 0.999434i | ||||
\(626\) | 10.9448 | + | 22.7271i | 0.437443 | + | 0.908359i | ||||
\(627\) | −39.8669 | − | 25.0500i | −1.59213 | − | 1.00040i | ||||
\(628\) | 0.0465037 | − | 0.0162724i | 0.00185570 | − | 0.000649338i | ||||
\(629\) | −12.4042 | + | 54.3462i | −0.494586 | + | 2.16692i | ||||
\(630\) | −29.6865 | − | 18.4994i | −1.18274 | − | 0.737034i | ||||
\(631\) | −0.766439 | − | 3.35799i | −0.0305115 | − | 0.133679i | 0.957378 | − | 0.288837i | \(-0.0932686\pi\) |
−0.987890 | + | 0.155158i | \(0.950411\pi\) | |||||||
\(632\) | 4.89049 | + | 7.78316i | 0.194533 | + | 0.309598i | ||||
\(633\) | −8.27893 | − | 73.4776i | −0.329058 | − | 2.92047i | ||||
\(634\) | −16.4962 | − | 3.76515i | −0.655147 | − | 0.149533i | ||||
\(635\) | 5.72874 | − | 1.70272i | 0.227338 | − | 0.0675705i | ||||
\(636\) | 30.0715i | 1.19241i | ||||||||
\(637\) | −4.09149 | + | 5.03309i | −0.162111 | + | 0.199418i | ||||
\(638\) | −9.58180 | − | 9.58180i | −0.379347 | − | 0.379347i | ||||
\(639\) | 10.2737 | + | 21.3336i | 0.406422 | + | 0.843944i | ||||
\(640\) | 2.07298 | + | 0.838304i | 0.0819417 | + | 0.0331369i | ||||
\(641\) | 7.05831 | − | 8.85084i | 0.278786 | − | 0.349587i | −0.622649 | − | 0.782502i | \(-0.713943\pi\) |
0.901435 | + | 0.432915i | \(0.142515\pi\) | |||||||
\(642\) | −26.8723 | + | 16.8850i | −1.06057 | + | 0.666397i | ||||
\(643\) | −1.03737 | − | 0.651823i | −0.0409099 | − | 0.0257054i | 0.511422 | − | 0.859330i | \(-0.329119\pi\) |
−0.552332 | + | 0.833624i | \(0.686262\pi\) | |||||||
\(644\) | −3.56268 | − | 3.21395i | −0.140389 | − | 0.126648i | ||||
\(645\) | −23.8780 | + | 10.1267i | −0.940194 | + | 0.398737i | ||||
\(646\) | −35.1571 | − | 16.9307i | −1.38324 | − | 0.666131i | ||||
\(647\) | −12.9753 | + | 20.6500i | −0.510111 | + | 0.811837i | −0.998138 | − | 0.0609913i | \(-0.980574\pi\) |
0.488027 | + | 0.872828i | \(0.337717\pi\) | |||||||
\(648\) | 7.75884 | + | 2.71494i | 0.304796 | + | 0.106653i | ||||
\(649\) | −3.58085 | − | 4.49024i | −0.140561 | − | 0.176257i | ||||
\(650\) | 4.59458 | − | 0.596096i | 0.180214 | − | 0.0233808i | ||||
\(651\) | −2.09363 | + | 0.855741i | −0.0820559 | + | 0.0335391i | ||||
\(652\) | −17.3823 | + | 6.08233i | −0.680743 | + | 0.238202i | ||||
\(653\) | 9.54671 | − | 15.1935i | 0.373592 | − | 0.594568i | −0.606024 | − | 0.795446i | \(-0.707237\pi\) |
0.979616 | + | 0.200878i | \(0.0643795\pi\) | |||||||
\(654\) | 23.2905 | + | 29.2054i | 0.910731 | + | 1.14202i | ||||
\(655\) | −6.10210 | + | 4.40728i | −0.238429 | + | 0.172207i | ||||
\(656\) | − | 10.7160i | − | 0.418389i | ||||||
\(657\) | −4.68884 | + | 41.6146i | −0.182929 | + | 1.62354i | ||||
\(658\) | 7.73098 | − | 6.84396i | 0.301385 | − | 0.266805i | ||||
\(659\) | −24.6144 | − | 19.6293i | −0.958841 | − | 0.764650i | 0.0130907 | − | 0.999914i | \(-0.495833\pi\) |
−0.971931 | + | 0.235264i | \(0.924404\pi\) | |||||||
\(660\) | 12.4180 | + | 13.6627i | 0.483369 | + | 0.531821i | ||||
\(661\) | −7.72132 | + | 16.0335i | −0.300324 | + | 0.623630i | −0.995453 | − | 0.0952554i | \(-0.969633\pi\) |
0.695128 | + | 0.718886i | \(0.255348\pi\) | |||||||
\(662\) | 18.6526 | − | 6.52681i | 0.724952 | − | 0.253672i | ||||
\(663\) | −2.11946 | − | 18.8107i | −0.0823130 | − | 0.730548i | ||||
\(664\) | −4.57900 | + | 5.74188i | −0.177700 | + | 0.222828i | ||||
\(665\) | 32.8618 | − | 7.62937i | 1.27433 | − | 0.295854i | ||||
\(666\) | 30.0297 | + | 37.6561i | 1.16363 | + | 1.45914i | ||||
\(667\) | 6.28287 | − | 6.28287i | 0.243274 | − | 0.243274i | ||||
\(668\) | 10.0014 | − | 10.0014i | 0.386965 | − | 0.386965i | ||||
\(669\) | 33.4119 | − | 26.6451i | 1.29178 | − | 1.03016i | ||||
\(670\) | 25.2750 | + | 22.2077i | 0.976458 | + | 0.857957i | ||||
\(671\) | 13.2992 | − | 27.6161i | 0.513411 | − | 1.06611i | ||||
\(672\) | 2.15102 | + | 7.60004i | 0.0829776 | + | 0.293178i | ||||
\(673\) | 24.6366 | + | 8.62073i | 0.949672 | + | 0.332305i | 0.760279 | − | 0.649597i | \(-0.225062\pi\) |
0.189393 | + | 0.981901i | \(0.439348\pi\) | |||||||
\(674\) | −2.16673 | + | 1.72791i | −0.0834594 | + | 0.0665566i | ||||
\(675\) | −26.5305 | + | 34.4408i | −1.02116 | + | 1.32563i | ||||
\(676\) | −2.70171 | − | 11.8370i | −0.103912 | − | 0.455268i | ||||
\(677\) | 9.20552 | + | 26.3079i | 0.353797 | + | 1.01109i | 0.973980 | + | 0.226636i | \(0.0727727\pi\) |
−0.620183 | + | 0.784457i | \(0.712942\pi\) | |||||||
\(678\) | −3.88942 | − | 6.18998i | −0.149372 | − | 0.237725i | ||||
\(679\) | −20.6918 | − | 29.4538i | −0.794079 | − | 1.13033i | ||||
\(680\) | 11.4947 | + | 10.0997i | 0.440801 | + | 0.387306i | ||||
\(681\) | 0.754336 | − | 3.30496i | 0.0289062 | − | 0.126646i | ||||
\(682\) | 0.786997 | − | 0.0886733i | 0.0301357 | − | 0.00339547i | ||||
\(683\) | −1.99383 | + | 1.25280i | −0.0762916 | + | 0.0479372i | −0.569638 | − | 0.821896i | \(-0.692916\pi\) |
0.493346 | + | 0.869833i | \(0.335774\pi\) | |||||||
\(684\) | −30.3765 | + | 14.6286i | −1.16148 | + | 0.559337i | ||||
\(685\) | 26.6641 | + | 4.30004i | 1.01878 | + | 0.164296i | ||||
\(686\) | 13.9816 | − | 12.1456i | 0.533819 | − | 0.463722i | ||||
\(687\) | 1.39842 | − | 1.39842i | 0.0533532 | − | 0.0533532i | ||||
\(688\) | 3.66730 | + | 1.28324i | 0.139814 | + | 0.0489232i | ||||
\(689\) | 2.07695 | − | 9.09972i | 0.0791256 | − | 0.346672i | ||||
\(690\) | −8.95876 | + | 8.14257i | −0.341054 | + | 0.309982i | ||||
\(691\) | −40.9123 | − | 9.33796i | −1.55638 | − | 0.355233i | −0.644143 | − | 0.764905i | \(-0.722786\pi\) |
−0.912233 | + | 0.409672i | \(0.865643\pi\) | |||||||
\(692\) | −9.29238 | + | 14.7887i | −0.353243 | + | 0.562183i | ||||
\(693\) | −7.44685 | + | 42.6190i | −0.282882 | + | 1.61896i | ||||
\(694\) | 6.80644 | + | 1.55353i | 0.258369 | + | 0.0589710i | ||||
\(695\) | −0.444365 | − | 2.48844i | −0.0168557 | − | 0.0943920i | ||||
\(696\) | −14.2600 | + | 3.25476i | −0.540525 | + | 0.123371i | ||||
\(697\) | 24.2191 | − | 69.2143i | 0.917365 | − | 2.62168i | ||||
\(698\) | 2.40325 | + | 0.270781i | 0.0909644 | + | 0.0102492i | ||||
\(699\) | −38.4826 | + | 18.5323i | −1.45555 | + | 0.700955i | ||||
\(700\) | −13.2160 | − | 0.581428i | −0.499517 | − | 0.0219759i | ||||
\(701\) | −26.1911 | − | 12.6130i | −0.989224 | − | 0.476385i | −0.131956 | − | 0.991256i | \(-0.542126\pi\) |
−0.857268 | + | 0.514871i | \(0.827840\pi\) | |||||||
\(702\) | −6.82193 | − | 4.28650i | −0.257477 | − | 0.161784i | ||||
\(703\) | −46.1604 | − | 5.20102i | −1.74097 | − | 0.196160i | ||||
\(704\) | − | 2.76575i | − | 0.104238i | ||||||
\(705\) | −15.2533 | − | 21.1189i | −0.574473 | − | 0.795385i | ||||
\(706\) | −18.5729 | + | 14.8114i | −0.699000 | + | 0.557434i | ||||
\(707\) | 7.61539 | + | 3.19628i | 0.286406 | + | 0.120208i | ||||
\(708\) | −6.16032 | + | 0.694102i | −0.231519 | + | 0.0260859i | ||||
\(709\) | −15.5535 | − | 12.4035i | −0.584125 | − | 0.465824i | 0.286290 | − | 0.958143i | \(-0.407578\pi\) |
−0.870415 | + | 0.492319i | \(0.836149\pi\) | |||||||
\(710\) | 7.34671 | + | 5.12043i | 0.275717 | + | 0.192166i | ||||
\(711\) | 48.9660 | + | 23.5808i | 1.83637 | + | 0.884349i | ||||
\(712\) | 5.57374 | − | 0.628009i | 0.208885 | − | 0.0235356i | ||||
\(713\) | 0.0581438 | + | 0.516041i | 0.00217750 | + | 0.0193259i | ||||
\(714\) | −3.28338 | + | 53.9500i | −0.122877 | + | 2.01903i | ||||
\(715\) | −2.81407 | − | 4.99205i | −0.105240 | − | 0.186692i | ||||
\(716\) | 22.1752 | 0.828727 | ||||||||
\(717\) | 4.09466 | + | 4.09466i | 0.152918 | + | 0.152918i | ||||
\(718\) | −0.566156 | + | 5.02477i | −0.0211287 | + | 0.187523i | ||||
\(719\) | −3.69575 | − | 16.1921i | −0.137828 | − | 0.603864i | −0.995910 | − | 0.0903513i | \(-0.971201\pi\) |
0.858082 | − | 0.513513i | \(-0.171656\pi\) | |||||||
\(720\) | 13.0149 | − | 2.32408i | 0.485035 | − | 0.0866135i | ||||
\(721\) | −4.30482 | − | 10.5320i | −0.160320 | − | 0.392234i | ||||
\(722\) | 4.46449 | − | 12.7588i | 0.166151 | − | 0.474832i | ||||
\(723\) | 5.97156 | − | 52.9991i | 0.222085 | − | 1.97106i | ||||
\(724\) | −12.1238 | + | 5.83853i | −0.450579 | + | 0.216987i | ||||
\(725\) | 2.33304 | − | 24.3860i | 0.0866468 | − | 0.905672i | ||||
\(726\) | −4.34007 | + | 9.01224i | −0.161075 | + | 0.334476i | ||||
\(727\) | 25.9896 | − | 16.3304i | 0.963902 | − | 0.605660i | 0.0445130 | − | 0.999009i | \(-0.485826\pi\) |
0.919389 | + | 0.393349i | \(0.128684\pi\) | |||||||
\(728\) | −0.125993 | − | 2.44836i | −0.00466962 | − | 0.0907422i | ||||
\(729\) | −28.5375 | + | 6.51349i | −1.05694 | + | 0.241240i | ||||
\(730\) | 6.18376 | + | 14.5809i | 0.228871 | + | 0.539663i | ||||
\(731\) | 20.7867 | + | 16.5769i | 0.768826 | + | 0.613118i | ||||
\(732\) | −17.6026 | − | 28.0144i | −0.650611 | − | 1.03544i | ||||
\(733\) | 1.18269 | − | 3.37993i | 0.0436836 | − | 0.124840i | −0.919975 | − | 0.391976i | \(-0.871792\pi\) |
0.963659 | + | 0.267136i | \(0.0860772\pi\) | |||||||
\(734\) | 19.1241 | 0.705882 | ||||||||
\(735\) | −27.0039 | − | 38.1360i | −0.996053 | − | 1.40667i | ||||
\(736\) | 1.81353 | 0.0668476 | ||||||||
\(737\) | 13.7447 | − | 39.2800i | 0.506291 | − | 1.44690i | ||||
\(738\) | −33.7086 | − | 53.6469i | −1.24083 | − | 1.97477i | ||||
\(739\) | 18.4447 | + | 14.7092i | 0.678501 | + | 0.541086i | 0.900985 | − | 0.433850i | \(-0.142845\pi\) |
−0.222484 | + | 0.974936i | \(0.571417\pi\) | |||||||
\(740\) | 16.8868 | + | 6.82893i | 0.620770 | + | 0.251036i | ||||
\(741\) | 15.3791 | − | 3.51017i | 0.564964 | − | 0.128949i | ||||
\(742\) | −10.3139 | + | 24.5737i | −0.378636 | + | 0.902131i | ||||
\(743\) | −11.7953 | + | 7.41147i | −0.432727 | + | 0.271900i | −0.730733 | − | 0.682664i | \(-0.760821\pi\) |
0.298006 | + | 0.954564i | \(0.403679\pi\) | |||||||
\(744\) | 0.370913 | − | 0.770209i | 0.0135983 | − | 0.0282372i | ||||
\(745\) | −32.4893 | − | 28.5465i | −1.19032 | − | 1.04586i | ||||
\(746\) | −2.19526 | + | 1.05718i | −0.0803743 | + | 0.0387062i | ||||
\(747\) | −4.86175 | + | 43.1492i | −0.177882 | + | 1.57875i | ||||
\(748\) | 6.25086 | − | 17.8639i | 0.228554 | − | 0.653170i | ||||
\(749\) | −27.7506 | + | 4.58137i | −1.01399 | + | 0.167400i | ||||
\(750\) | −4.75910 | + | 33.0365i | −0.173778 | + | 1.20632i | ||||
\(751\) | 2.95872 | + | 12.9630i | 0.107965 | + | 0.473026i | 0.999787 | + | 0.0206393i | \(0.00657015\pi\) |
−0.891822 | + | 0.452387i | \(0.850573\pi\) | |||||||
\(752\) | −0.436944 | + | 3.87798i | −0.0159337 | + | 0.141416i | ||||
\(753\) | 52.2282 | + | 52.2282i | 1.90330 | + | 1.90330i | ||||
\(754\) | 4.53992 | 0.165334 | ||||||||
\(755\) | −0.351225 | + | 1.25883i | −0.0127824 | + | 0.0458134i | ||||
\(756\) | 17.0812 | + | 15.4092i | 0.621236 | + | 0.560428i | ||||
\(757\) | 2.94505 | + | 26.1380i | 0.107039 | + | 0.950002i | 0.926353 | + | 0.376656i | \(0.122926\pi\) |
−0.819314 | + | 0.573346i | \(0.805645\pi\) | |||||||
\(758\) | −10.0458 | + | 1.13189i | −0.364881 | + | 0.0411122i | ||||
\(759\) | 13.4911 | + | 6.49697i | 0.489696 | + | 0.235825i | ||||
\(760\) | −7.29090 | + | 10.4609i | −0.264469 | + | 0.379455i | ||||
\(761\) | 38.2397 | + | 30.4951i | 1.38619 | + | 1.10545i | 0.981600 | + | 0.190947i | \(0.0611558\pi\) |
0.404586 | + | 0.914500i | \(0.367416\pi\) | |||||||
\(762\) | −7.92898 | + | 0.893381i | −0.287237 | + | 0.0323638i | ||||
\(763\) | 9.01562 | + | 31.8542i | 0.326387 | + | 1.15320i | ||||
\(764\) | 16.1648 | − | 12.8910i | 0.584823 | − | 0.466381i | ||||
\(765\) | 89.3154 | + | 14.4036i | 3.22920 | + | 0.520763i | ||||
\(766\) | − | 21.7846i | − | 0.787108i | ||||||
\(767\) | 1.91207 | + | 0.215439i | 0.0690409 | + | 0.00777904i | ||||
\(768\) | −2.52779 | − | 1.58832i | −0.0912139 | − | 0.0573135i | ||||
\(769\) | 25.5644 | + | 12.3112i | 0.921877 | + | 0.443952i | 0.833741 | − | 0.552156i | \(-0.186195\pi\) |
0.0881359 | + | 0.996108i | \(0.471909\pi\) | |||||||
\(770\) | 5.46165 | + | 15.4240i | 0.196824 | + | 0.555842i | ||||
\(771\) | 30.2539 | − | 14.5695i | 1.08957 | − | 0.524708i | ||||
\(772\) | 20.8503 | + | 2.34926i | 0.750417 | + | 0.0845517i | ||||
\(773\) | 11.3375 | − | 32.4006i | 0.407780 | − | 1.16537i | −0.538670 | − | 0.842517i | \(-0.681073\pi\) |
0.946450 | − | 0.322851i | \(-0.104641\pi\) | |||||||
\(774\) | 22.3961 | − | 5.11175i | 0.805009 | − | 0.183738i | ||||
\(775\) | 1.02929 | + | 0.995234i | 0.0369731 | + | 0.0357499i | ||||
\(776\) | 13.2639 | + | 3.02740i | 0.476147 | + | 0.108677i | ||||
\(777\) | 17.5225 | + | 61.9109i | 0.628617 | + | 2.22104i | ||||
\(778\) | −18.5579 | + | 29.5348i | −0.665334 | + | 1.05887i | ||||
\(779\) | 59.5747 | + | 13.5975i | 2.13448 | + | 0.487182i | ||||
\(780\) | −6.17861 | − | 0.294885i | −0.221230 | − | 0.0105586i | ||||
\(781\) | 2.46472 | − | 10.7986i | 0.0881946 | − | 0.386406i | ||||
\(782\) | 11.7135 | + | 4.09874i | 0.418875 | + | 0.146571i | ||||
\(783\) | −30.1230 | + | 30.1230i | −1.07651 | + | 1.07651i | ||||
\(784\) | −0.848892 | + | 6.94834i | −0.0303176 | + | 0.248155i | ||||
\(785\) | 0.0175398 | − | 0.108763i | 0.000626022 | − | 0.00388190i | ||||
\(786\) | 9.05444 | − | 4.36039i | 0.322961 | − | 0.155530i | ||||
\(787\) | −23.5816 | + | 14.8173i | −0.840592 | + | 0.528179i | −0.882156 | − | 0.470957i | \(-0.843909\pi\) |
0.0415641 | + | 0.999136i | \(0.486766\pi\) | |||||||
\(788\) | −0.255620 | + | 0.0288014i | −0.00910607 | + | 0.00102601i | ||||
\(789\) | −9.94159 | + | 43.5570i | −0.353930 | + | 1.55067i | ||||
\(790\) | 20.5114 | − | 1.32501i | 0.729762 | − | 0.0471418i | ||||
\(791\) | −1.05531 | − | 6.39231i | −0.0375225 | − | 0.227284i | ||||
\(792\) | −8.70006 | − | 13.8461i | −0.309143 | − | 0.491999i | ||||
\(793\) | 3.39172 | + | 9.69299i | 0.120444 | + | 0.344208i | ||||
\(794\) | −4.74714 | − | 20.7986i | −0.168470 | − | 0.738114i | ||||
\(795\) | 59.1231 | + | 32.0301i | 2.09688 | + | 1.13599i | ||||
\(796\) | 15.7043 | − | 12.5238i | 0.556625 | − | 0.443894i | ||||
\(797\) | −17.5040 | − | 6.12491i | −0.620023 | − | 0.216955i | 0.00194510 | − | 0.999998i | \(-0.499381\pi\) |
−0.621968 | + | 0.783043i | \(0.713667\pi\) | |||||||
\(798\) | −44.9813 | + | 2.31475i | −1.59232 | + | 0.0819413i | ||||
\(799\) | −11.5868 | + | 24.0603i | −0.409912 | + | 0.851191i | ||||
\(800\) | 3.85618 | − | 3.18275i | 0.136336 | − | 0.112527i | ||||
\(801\) | 25.9280 | − | 20.6769i | 0.916122 | − | 0.730583i | ||||
\(802\) | −11.7941 | + | 11.7941i | −0.416463 | + | 0.416463i | ||||
\(803\) | 13.8520 | − | 13.8520i | 0.488827 | − | 0.488827i | ||||
\(804\) | −28.0071 | − | 35.1198i | −0.987734 | − | 1.23858i | ||||
\(805\) | −10.1136 | + | 3.58125i | −0.356459 | + | 0.126222i | ||||
\(806\) | −0.165435 | + | 0.207449i | −0.00582721 | + | 0.00730709i | ||||
\(807\) | −7.27888 | − | 64.6019i | −0.256229 | − | 2.27409i | ||||
\(808\) | −2.94642 | + | 1.03100i | −0.103655 | + | 0.0362704i | ||||
\(809\) | 4.10526 | − | 8.52466i | 0.144333 | − | 0.299711i | −0.816252 | − | 0.577696i | \(-0.803952\pi\) |
0.960586 | + | 0.277984i | \(0.0896664\pi\) | |||||||
\(810\) | 13.6020 | − | 12.3628i | 0.477925 | − | 0.434384i | ||||
\(811\) | −5.74390 | − | 4.58061i | −0.201696 | − | 0.160847i | 0.517433 | − | 0.855723i | \(-0.326888\pi\) |
−0.719129 | + | 0.694877i | \(0.755459\pi\) | |||||||
\(812\) | −12.7693 | − | 2.23119i | −0.448114 | − | 0.0782994i | ||||
\(813\) | −1.09693 | + | 9.73554i | −0.0384711 | + | 0.341440i | ||||
\(814\) | − | 22.5302i | − | 0.789682i | ||||||
\(815\) | −6.55607 | + | 40.6536i | −0.229649 | + | 1.42403i | ||||
\(816\) | −12.7372 | − | 15.9720i | −0.445892 | − | 0.559130i | ||||
\(817\) | −11.7875 | + | 18.7598i | −0.412394 | + | 0.656321i | ||||
\(818\) | −1.24442 | + | 0.435442i | −0.0435102 | + | 0.0152249i | ||||
\(819\) | −8.33240 | − | 11.8608i | −0.291158 | − | 0.414449i | ||||
\(820\) | −21.0685 | − | 11.4139i | −0.735745 | − | 0.398592i | ||||
\(821\) | −1.06031 | − | 1.32958i | −0.0370049 | − | 0.0464027i | 0.762985 | − | 0.646417i | \(-0.223733\pi\) |
−0.799990 | + | 0.600014i | \(0.795162\pi\) | |||||||
\(822\) | −34.0358 | − | 11.9096i | −1.18713 | − | 0.415396i | ||||
\(823\) | 12.0308 | − | 19.1469i | 0.419367 | − | 0.667419i | −0.568506 | − | 0.822679i | \(-0.692479\pi\) |
0.987874 | + | 0.155260i | \(0.0496214\pi\) | |||||||
\(824\) | 3.87454 | + | 1.86588i | 0.134976 | + | 0.0650011i | ||||
\(825\) | 40.0889 | − | 9.86219i | 1.39572 | − | 0.343358i | ||||
\(826\) | −5.27214 | − | 1.54566i | −0.183441 | − | 0.0537805i | ||||
\(827\) | −31.1532 | − | 19.5748i | −1.08330 | − | 0.680683i | −0.132718 | − | 0.991154i | \(-0.542371\pi\) |
−0.950583 | + | 0.310470i | \(0.899513\pi\) | |||||||
\(828\) | 9.07899 | − | 5.70471i | 0.315517 | − | 0.198252i | ||||
\(829\) | 28.1886 | − | 35.3474i | 0.979031 | − | 1.22767i | 0.00529455 | − | 0.999986i | \(-0.498315\pi\) |
0.973736 | − | 0.227680i | \(-0.0731139\pi\) | |||||||
\(830\) | 6.41179 | + | 15.1186i | 0.222557 | + | 0.524773i | ||||
\(831\) | 34.8269 | + | 72.3189i | 1.20813 | + | 2.50871i | ||||
\(832\) | 0.655217 | + | 0.655217i | 0.0227156 | + | 0.0227156i | ||||
\(833\) | −21.1869 | + | 42.9606i | −0.734081 | + | 1.48850i | ||||
\(834\) | 3.37488i | 0.116863i | ||||||||
\(835\) | −9.01077 | − | 30.3163i | −0.311830 | − | 1.04914i | ||||
\(836\) | 15.3760 | + | 3.50947i | 0.531790 | + | 0.121378i | ||||
\(837\) | −0.278769 | − | 2.47414i | −0.00963566 | − | 0.0855189i | ||||
\(838\) | −9.08832 | − | 14.4640i | −0.313951 | − | 0.499650i | ||||
\(839\) | 8.32426 | + | 36.4710i | 0.287385 | + | 1.25912i | 0.888099 | + | 0.459653i | \(0.152026\pi\) |
−0.600713 | + | 0.799465i | \(0.705117\pi\) | |||||||
\(840\) | 17.2335 | + | 3.86595i | 0.594611 | + | 0.133388i | ||||
\(841\) | −1.11155 | + | 4.87003i | −0.0383294 | + | 0.167932i | ||||
\(842\) | −27.1428 | + | 9.49766i | −0.935401 | + | 0.327311i | ||||
\(843\) | 22.5277 | + | 14.1551i | 0.775896 | + | 0.487528i | ||||
\(844\) | 10.7465 | + | 22.3154i | 0.369910 | + | 0.768127i | ||||
\(845\) | −26.1502 | − | 7.29615i | −0.899594 | − | 0.250995i | ||||
\(846\) | 10.0113 | + | 20.7886i | 0.344195 | + | 0.714728i | ||||
\(847\) | −6.63762 | + | 5.87604i | −0.228071 | + | 0.201903i | ||||
\(848\) | −3.32687 | − | 9.50766i | −0.114245 | − | 0.326494i | ||||
\(849\) | −50.1141 | + | 11.4382i | −1.71991 | + | 0.392559i | ||||
\(850\) | 32.1003 | − | 11.8420i | 1.10103 | − | 0.406177i | ||||
\(851\) | 14.7732 | 0.506420 | ||||||||
\(852\) | −8.45411 | − | 8.45411i | −0.289633 | − | 0.289633i | ||||
\(853\) | 16.9525 | + | 1.91008i | 0.580441 | + | 0.0654000i | 0.397304 | − | 0.917687i | \(-0.369946\pi\) |
0.183138 | + | 0.983087i | \(0.441375\pi\) | |||||||
\(854\) | −4.77608 | − | 28.9301i | −0.163434 | − | 0.989966i | ||||
\(855\) | −3.59402 | + | 75.3042i | −0.122913 | + | 2.57535i | ||||
\(856\) | 6.62815 | − | 8.31144i | 0.226546 | − | 0.284079i | ||||
\(857\) | 1.45685 | + | 4.16344i | 0.0497651 | + | 0.142220i | 0.966083 | − | 0.258230i | \(-0.0831393\pi\) |
−0.916318 | + | 0.400451i | \(0.868854\pi\) | |||||||
\(858\) | 2.52694 | + | 7.22157i | 0.0862682 | + | 0.246540i | ||||
\(859\) | −17.1205 | + | 21.4684i | −0.584142 | + | 0.732491i | −0.982813 | − | 0.184603i | \(-0.940900\pi\) |
0.398671 | + | 0.917094i | \(0.369472\pi\) | |||||||
\(860\) | 6.42913 | − | 5.84340i | 0.219231 | − | 0.199258i | ||||
\(861\) | −13.7868 | − | 83.5106i | −0.469853 | − | 2.84603i | ||||
\(862\) | 9.73556 | + | 1.09693i | 0.331595 | + | 0.0373617i | ||||
\(863\) | −17.9780 | − | 17.9780i | −0.611980 | − | 0.611980i | 0.331482 | − | 0.943462i | \(-0.392451\pi\) |
−0.943462 | + | 0.331482i | \(0.892451\pi\) | |||||||
\(864\) | −8.69491 | −0.295807 | ||||||||
\(865\) | 19.1783 | + | 34.0216i | 0.652082 | + | 1.15677i | ||||
\(866\) | −24.5990 | + | 5.61455i | −0.835907 | + | 0.190790i | ||||
\(867\) | −29.4091 | − | 84.0463i | −0.998785 | − | 2.85436i | ||||
\(868\) | 0.567268 | − | 0.502181i | 0.0192543 | − | 0.0170451i | ||||
\(869\) | −11.0307 | − | 22.9054i | −0.374189 | − | 0.777012i | ||||
\(870\) | −8.78969 | + | 31.5032i | −0.297998 | + | 1.06806i | ||||
\(871\) | 6.04941 | + | 12.5617i | 0.204976 | + | 0.425638i | ||||
\(872\) | −10.5948 | − | 6.65714i | −0.358785 | − | 0.225439i | ||||
\(873\) | 75.9257 | − | 26.5676i | 2.56970 | − | 0.899176i | ||||
\(874\) | −2.30119 | + | 10.0822i | −0.0778389 | + | 0.341035i | ||||
\(875\) | −15.2199 | + | 25.3644i | −0.514527 | + | 0.857474i | ||||
\(876\) | −4.70528 | − | 20.6152i | −0.158977 | − | 0.696522i | ||||
\(877\) | 5.01273 | + | 7.97771i | 0.169268 | + | 0.269388i | 0.920576 | − | 0.390563i | \(-0.127720\pi\) |
−0.751308 | + | 0.659951i | \(0.770577\pi\) | |||||||
\(878\) | 2.36920 | + | 21.0272i | 0.0799565 | + | 0.709634i | ||||
\(879\) | 59.1696 | + | 13.5051i | 1.99574 | + | 0.455515i | ||||
\(880\) | −5.43771 | − | 2.94589i | −0.183305 | − | 0.0993061i | ||||
\(881\) | 28.0706i | 0.945724i | 0.881137 | + | 0.472862i | \(0.156779\pi\) | ||||
−0.881137 | + | 0.472862i | \(0.843221\pi\) | |||||||
\(882\) | 17.6072 | + | 37.4554i | 0.592865 | + | 1.26119i | ||||
\(883\) | 11.7545 | + | 11.7545i | 0.395571 | + | 0.395571i | 0.876668 | − | 0.481096i | \(-0.159761\pi\) |
−0.481096 | + | 0.876668i | \(0.659761\pi\) | |||||||
\(884\) | 2.75118 | + | 5.71288i | 0.0925322 | + | 0.192145i | ||||
\(885\) | −5.19690 | + | 12.8510i | −0.174692 | + | 0.431983i | ||||
\(886\) | −14.2270 | + | 17.8401i | −0.477965 | + | 0.599349i | ||||
\(887\) | 13.6708 | − | 8.58993i | 0.459020 | − | 0.288421i | −0.282605 | − | 0.959236i | \(-0.591198\pi\) |
0.741625 | + | 0.670815i | \(0.234056\pi\) | |||||||
\(888\) | −20.5917 | − | 12.9386i | −0.691013 | − | 0.434192i | ||||
\(889\) | −6.78579 | − | 1.98943i | −0.227588 | − | 0.0667233i | ||||
\(890\) | 4.70205 | − | 11.6274i | 0.157613 | − | 0.389750i | ||||
\(891\) | −20.4834 | − | 9.86429i | −0.686220 | − | 0.330466i | ||||
\(892\) | −7.61598 | + | 12.1208i | −0.255002 | + | 0.405833i | ||||
\(893\) | −21.0049 | − | 7.34994i | −0.702903 | − | 0.245956i | ||||
\(894\) | 36.0013 | + | 45.1442i | 1.20406 | + | 1.50985i | ||||
\(895\) | 23.6196 | − | 43.5984i | 0.789515 | − | 1.45733i | ||||
\(896\) | −1.52089 | − | 2.16492i | −0.0508095 | − | 0.0723249i | ||||
\(897\) | −4.73525 | + | 1.65693i | −0.158105 | + | 0.0553234i | ||||
\(898\) | −5.98749 | + | 9.52904i | −0.199805 | + | 0.317988i | ||||
\(899\) | 0.874735 | + | 1.09688i | 0.0291741 | + | 0.0365831i | ||||
\(900\) | 9.29321 | − | 28.0638i | 0.309774 | − | 0.935460i | ||||
\(901\) | − | 68.9288i | − | 2.29635i | ||||||
\(902\) | −3.31838 | + | 29.4514i | −0.110490 | + | 0.980625i | ||||
\(903\) | 30.2306 | + | 5.28221i | 1.00601 | + | 0.175781i | ||||
\(904\) | 1.91452 | + | 1.52678i | 0.0636761 | + | 0.0507800i | ||||
\(905\) | −1.43444 | + | 30.0553i | −0.0476824 | + | 0.999072i | ||||
\(906\) | 0.757064 | − | 1.57206i | 0.0251518 | − | 0.0522282i | ||||
\(907\) | −18.6472 | + | 6.52495i | −0.619171 | + | 0.216657i | −0.621594 | − | 0.783340i | \(-0.713515\pi\) |
0.00242259 | + | 0.999997i | \(0.499229\pi\) | |||||||
\(908\) | 0.127138 | + | 1.12838i | 0.00421921 | + | 0.0374466i | ||||
\(909\) | −11.5074 | + | 14.4298i | −0.381676 | + | 0.478606i | ||||
\(910\) | −4.94788 | − | 2.36011i | −0.164021 | − | 0.0782370i | ||||
\(911\) | −19.1615 | − | 24.0278i | −0.634850 | − | 0.796077i | 0.355498 | − | 0.934677i | \(-0.384311\pi\) |
−0.990348 | + | 0.138600i | \(0.955740\pi\) | |||||||
\(912\) | 12.0377 | − | 12.0377i | 0.398607 | − | 0.398607i | ||||
\(913\) | 14.3628 | − | 14.3628i | 0.475340 | − | 0.475340i | ||||
\(914\) | −23.0006 | + | 18.3424i | −0.760793 | + | 0.606712i | ||||
\(915\) | −73.8278 | + | 4.76919i | −2.44067 | + | 0.157665i | ||||
\(916\) | −0.287427 | + | 0.596848i | −0.00949685 | + | 0.0197204i | ||||
\(917\) | 8.89461 | − | 0.457720i | 0.293726 | − | 0.0151152i | ||||
\(918\) | −56.1602 | − | 19.6513i | −1.85356 | − | 0.648590i | ||||
\(919\) | −3.52959 | + | 2.81475i | −0.116430 | + | 0.0928501i | −0.679974 | − | 0.733236i | \(-0.738009\pi\) |
0.563544 | + | 0.826086i | \(0.309438\pi\) | |||||||
\(920\) | 1.93165 | − | 3.56555i | 0.0636846 | − | 0.117553i | ||||
\(921\) | 17.6010 | + | 77.1151i | 0.579973 | + | 2.54103i | ||||
\(922\) | −3.46834 | − | 9.91195i | −0.114224 | − | 0.326433i | ||||
\(923\) | 1.97434 | + | 3.14214i | 0.0649861 | + | 0.103425i | ||||
\(924\) | −3.55832 | − | 21.5538i | −0.117060 | − | 0.709067i | ||||
\(925\) | 31.4129 | − | 25.9271i | 1.03285 | − | 0.852478i | ||||
\(926\) | −5.54644 | + | 24.3006i | −0.182267 | + | 0.798566i | ||||
\(927\) | 25.2663 | − | 2.84683i | 0.829856 | − | 0.0935023i | ||||
\(928\) | 4.14849 | − | 2.60667i | 0.136181 | − | 0.0855682i | ||||
\(929\) | 40.2339 | − | 19.3756i | 1.32003 | − | 0.635694i | 0.364671 | − | 0.931136i | \(-0.381181\pi\) |
0.955361 | + | 0.295443i | \(0.0954671\pi\) | |||||||
\(930\) | −1.11922 | − | 1.54962i | −0.0367008 | − | 0.0508141i | ||||
\(931\) | −37.5516 | − | 13.5361i | −1.23070 | − | 0.443628i | ||||
\(932\) | 10.1167 | − | 10.1167i | 0.331385 | − | 0.331385i | ||||
\(933\) | −22.0299 | − | 7.70859i | −0.721226 | − | 0.252368i | ||||
\(934\) | −0.172356 | + | 0.755140i | −0.00563965 | + | 0.0247089i | ||||
\(935\) | −28.4640 | − | 31.3172i | −0.930873 | − | 1.02418i | ||||
\(936\) | 5.34126 | + | 1.21911i | 0.174584 | + | 0.0398478i | ||||
\(937\) | −0.824191 | + | 1.31169i | −0.0269251 | + | 0.0428511i | −0.859916 | − | 0.510436i | \(-0.829484\pi\) |
0.832991 | + | 0.553287i | \(0.186627\pi\) | |||||||
\(938\) | −10.8414 | − | 38.3050i | −0.353984 | − | 1.25070i | ||||
\(939\) | −73.4188 | − | 16.7574i | −2.39593 | − | 0.546856i | ||||
\(940\) | 7.15905 | + | 4.98964i | 0.233502 | + | 0.162744i | ||||
\(941\) | −50.9870 | + | 11.6375i | −1.66213 | + | 0.379370i | −0.947405 | − | 0.320037i | \(-0.896305\pi\) |
−0.714724 | + | 0.699407i | \(0.753448\pi\) | |||||||
\(942\) | −0.0485792 | + | 0.138831i | −0.00158280 | + | 0.00452337i | ||||
\(943\) | −19.3115 | − | 2.17589i | −0.628870 | − | 0.0708567i | ||||
\(944\) | 1.87091 | − | 0.900983i | 0.0608929 | − | 0.0293245i | ||||
\(945\) | 48.4896 | − | 17.1702i | 1.57737 | − | 0.558547i | ||||
\(946\) | −9.68169 | − | 4.66246i | −0.314779 | − | 0.151590i | ||||
\(947\) | 31.3458 | + | 19.6959i | 1.01860 | + | 0.640029i | 0.934328 | − | 0.356413i | \(-0.116001\pi\) |
0.0842725 | + | 0.996443i | \(0.473143\pi\) | |||||||
\(948\) | −27.2693 | − | 3.07252i | −0.885667 | − | 0.0997907i | ||||
\(949\) | 6.56319i | 0.213050i | ||||||||
\(950\) | 12.8012 | + | 25.4767i | 0.415324 | + | 0.826574i | ||||
\(951\) | 39.4933 | − | 31.4949i | 1.28066 | − | 1.02129i | ||||
\(952\) | −4.93050 | − | 17.4205i | −0.159798 | − | 0.564603i | ||||
\(953\) | −13.1022 | + | 1.47627i | −0.424422 | + | 0.0478209i | −0.321593 | − | 0.946878i | \(-0.604218\pi\) |
−0.102830 | + | 0.994699i | \(0.532790\pi\) | |||||||
\(954\) | −46.5628 | − | 37.1326i | −1.50753 | − | 1.20221i | ||||
\(955\) | −8.12717 | − | 45.5121i | −0.262989 | − | 1.47274i | ||||
\(956\) | −1.74760 | − | 0.841601i | −0.0565215 | − | 0.0272193i | ||||
\(957\) | 40.1997 | − | 4.52941i | 1.29947 | − | 0.146415i | ||||
\(958\) | 0.131284 | + | 1.16517i | 0.00424158 | + | 0.0376450i | ||||
\(959\) | −23.7285 | − | 21.4059i | −0.766233 | − | 0.691231i | ||||
\(960\) | −5.81521 | + | 3.27809i | −0.187685 | + | 0.105800i | ||||
\(961\) | 30.9180 | 0.997355 | ||||||||
\(962\) | 5.33748 | + | 5.33748i | 0.172087 | + | 0.172087i | ||||
\(963\) | 7.03743 | − | 62.4590i | 0.226778 | − | 2.01271i | ||||
\(964\) | 3.97538 | + | 17.4173i | 0.128038 | + | 0.560973i | ||||
\(965\) | 26.8271 | − | 38.4911i | 0.863596 | − | 1.23907i | ||||
\(966\) | 14.1330 | − | 2.33322i | 0.454722 | − | 0.0750702i | ||||
\(967\) | −7.66024 | + | 21.8917i | −0.246337 | + | 0.703990i | 0.752626 | + | 0.658449i | \(0.228787\pi\) |
−0.998962 | + | 0.0455413i | \(0.985499\pi\) | |||||||
\(968\) | 0.375149 | − | 3.32954i | 0.0120577 | − | 0.107015i | ||||
\(969\) | 104.957 | − | 50.5447i | 3.37171 | − | 1.62373i | ||||
\(970\) | 20.0800 | − | 22.8534i | 0.644729 | − | 0.733779i | ||||
\(971\) | −2.83811 | + | 5.89340i | −0.0910793 | + | 0.189128i | −0.941532 | − | 0.336923i | \(-0.890614\pi\) |
0.850453 | + | 0.526051i | \(0.176328\pi\) | |||||||
\(972\) | 1.30778 | − | 0.821733i | 0.0419471 | − | 0.0263571i | ||||
\(973\) | −1.15752 | + | 2.75788i | −0.0371083 | + | 0.0884135i | ||||
\(974\) | 8.32539 | − | 1.90021i | 0.266763 | − | 0.0608868i | ||||
\(975\) | −7.16081 | + | 11.8336i | −0.229329 | + | 0.378978i | ||||
\(976\) | 8.66468 | + | 6.90985i | 0.277350 | + | 0.221179i | ||||
\(977\) | −6.96672 | − | 11.0875i | −0.222885 | − | 0.354720i | 0.716498 | − | 0.697589i | \(-0.245744\pi\) |
−0.939383 | + | 0.342870i | \(0.888601\pi\) | |||||||
\(978\) | 18.1581 | − | 51.8928i | 0.580631 | − | 1.65935i | ||||
\(979\) | −15.5131 | −0.495802 | ||||||||
\(980\) | 12.7568 | + | 9.06989i | 0.407502 | + | 0.289727i | ||||
\(981\) | −73.9811 | −2.36204 | ||||||||
\(982\) | 0.196086 | − | 0.560382i | 0.00625736 | − | 0.0178825i | ||||
\(983\) | 8.06270 | + | 12.8317i | 0.257160 | + | 0.409268i | 0.950205 | − | 0.311627i | \(-0.100874\pi\) |
−0.693044 | + | 0.720895i | \(0.743731\pi\) | |||||||
\(984\) | 25.0118 | + | 19.9462i | 0.797347 | + | 0.635863i | ||||
\(985\) | −0.215643 | + | 0.533247i | −0.00687095 | + | 0.0169907i | ||||
\(986\) | 32.6863 | − | 7.46044i | 1.04095 | − | 0.237589i | ||||
\(987\) | 1.58414 | + | 30.7836i | 0.0504236 | + | 0.979854i | ||||
\(988\) | −4.47404 | + | 2.81122i | −0.142338 | + | 0.0894369i | ||||
\(989\) | 3.05721 | − | 6.34837i | 0.0972137 | − | 0.201866i | ||||
\(990\) | −36.4893 | + | 2.35717i | −1.15971 | + | 0.0749157i | ||||
\(991\) | −48.8899 | + | 23.5441i | −1.55304 | + | 0.747905i | −0.996554 | − | 0.0829522i | \(-0.973565\pi\) |
−0.556486 | + | 0.830857i | \(0.687851\pi\) | |||||||
\(992\) | −0.0320611 | + | 0.284551i | −0.00101794 | + | 0.00903449i | ||||
\(993\) | −19.4850 | + | 55.6850i | −0.618338 | + | 1.76711i | ||||
\(994\) | −4.00892 | − | 9.80810i | −0.127155 | − | 0.311094i | ||||
\(995\) | −7.89564 | − | 44.2156i | −0.250309 | − | 1.40173i | ||||
\(996\) | −4.87879 | − | 21.3754i | −0.154590 | − | 0.677304i | ||||
\(997\) | 4.50721 | − | 40.0026i | 0.142745 | − | 1.26689i | −0.694271 | − | 0.719714i | \(-0.744273\pi\) |
0.837015 | − | 0.547180i | \(-0.184299\pi\) | |||||||
\(998\) | 8.50818 | + | 8.50818i | 0.269322 | + | 0.269322i | ||||
\(999\) | −70.8299 | −2.24096 |
(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 | 490.2.s.a.223.27 | yes | 336 | |
5.2 | odd | 4 | inner | 490.2.s.a.27.27 | ✓ | 336 | |
49.20 | odd | 14 | inner | 490.2.s.a.363.27 | yes | 336 | |
245.167 | even | 28 | inner | 490.2.s.a.167.27 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.s.a.27.27 | ✓ | 336 | 5.2 | odd | 4 | inner | |
490.2.s.a.167.27 | yes | 336 | 245.167 | even | 28 | inner | |
490.2.s.a.223.27 | yes | 336 | 1.1 | even | 1 | trivial | |
490.2.s.a.363.27 | yes | 336 | 49.20 | odd | 14 | inner |