Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.24 | ||
Character | \(\chi\) | \(=\) | 192.107 |
Dual form | 192.2.s.a.131.24 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04386 | + | 0.954131i | 0.738117 | + | 0.674672i | ||||
\(3\) | 1.39786 | − | 1.02274i | 0.807054 | − | 0.590478i | ||||
\(4\) | 0.179269 | + | 1.99195i | 0.0896343 | + | 0.995975i | ||||
\(5\) | −0.0417075 | − | 0.0624196i | −0.0186521 | − | 0.0279149i | 0.822026 | − | 0.569449i | \(-0.192844\pi\) |
−0.840679 | + | 0.541535i | \(0.817844\pi\) | |||||||
\(6\) | 2.43499 | + | 0.266149i | 0.994080 | + | 0.108655i | ||||
\(7\) | −0.100307 | + | 0.242162i | −0.0379125 | + | 0.0915288i | −0.941702 | − | 0.336449i | \(-0.890774\pi\) |
0.903789 | + | 0.427978i | \(0.140774\pi\) | |||||||
\(8\) | −1.71345 | + | 2.25035i | −0.605796 | + | 0.795620i | ||||
\(9\) | 0.908014 | − | 2.85929i | 0.302671 | − | 0.953095i | ||||
\(10\) | 0.0160199 | − | 0.104951i | 0.00506595 | − | 0.0331886i | ||||
\(11\) | −2.15600 | − | 0.428854i | −0.650058 | − | 0.129304i | −0.140963 | − | 0.990015i | \(-0.545020\pi\) |
−0.509095 | + | 0.860710i | \(0.670020\pi\) | |||||||
\(12\) | 2.28783 | + | 2.60112i | 0.660441 | + | 0.750878i | ||||
\(13\) | 0.751836 | + | 0.502361i | 0.208522 | + | 0.139330i | 0.655446 | − | 0.755242i | \(-0.272481\pi\) |
−0.446924 | + | 0.894572i | \(0.647481\pi\) | |||||||
\(14\) | −0.335761 | + | 0.157077i | −0.0897358 | + | 0.0419805i | ||||
\(15\) | −0.122140 | − | 0.0445980i | −0.0315364 | − | 0.0115151i | ||||
\(16\) | −3.93573 | + | 0.714188i | −0.983931 | + | 0.178547i | ||||
\(17\) | −1.66843 | − | 1.66843i | −0.404653 | − | 0.404653i | 0.475216 | − | 0.879869i | \(-0.342370\pi\) |
−0.879869 | + | 0.475216i | \(0.842370\pi\) | |||||||
\(18\) | 3.67597 | − | 2.11832i | 0.866434 | − | 0.499292i | ||||
\(19\) | −1.06552 | − | 0.711956i | −0.244446 | − | 0.163334i | 0.427312 | − | 0.904104i | \(-0.359461\pi\) |
−0.671758 | + | 0.740770i | \(0.734461\pi\) | |||||||
\(20\) | 0.116860 | − | 0.0942690i | 0.0261307 | − | 0.0210792i | ||||
\(21\) | 0.107454 | + | 0.441097i | 0.0234484 | + | 0.0962552i | ||||
\(22\) | −1.84137 | − | 2.50477i | −0.392581 | − | 0.534018i | ||||
\(23\) | 0.745366 | + | 1.79947i | 0.155419 | + | 0.375216i | 0.982340 | − | 0.187102i | \(-0.0599096\pi\) |
−0.826921 | + | 0.562318i | \(0.809910\pi\) | |||||||
\(24\) | −0.0936376 | + | 4.89808i | −0.0191137 | + | 0.999817i | ||||
\(25\) | 1.91126 | − | 4.61419i | 0.382252 | − | 0.922838i | ||||
\(26\) | 0.305490 | + | 1.24174i | 0.0599116 | + | 0.243526i | ||||
\(27\) | −1.65503 | − | 4.92553i | −0.318510 | − | 0.947920i | ||||
\(28\) | −0.500357 | − | 0.156394i | −0.0945586 | − | 0.0295557i | ||||
\(29\) | 1.26847 | + | 6.37705i | 0.235550 | + | 1.18419i | 0.899672 | + | 0.436566i | \(0.143805\pi\) |
−0.664123 | + | 0.747624i | \(0.731195\pi\) | |||||||
\(30\) | −0.0849442 | − | 0.163091i | −0.0155086 | − | 0.0297763i | ||||
\(31\) | −10.1205 | −1.81769 | −0.908844 | − | 0.417137i | \(-0.863033\pi\) | ||||
−0.908844 | + | 0.417137i | \(0.863033\pi\) | |||||||
\(32\) | −4.78976 | − | 3.00969i | −0.846718 | − | 0.532043i | ||||
\(33\) | −3.45238 | + | 1.60554i | −0.600983 | + | 0.279489i | ||||
\(34\) | −0.149699 | − | 3.33350i | −0.0256732 | − | 0.571690i | ||||
\(35\) | 0.0192992 | − | 0.00383886i | 0.00326217 | − | 0.000648885i | ||||
\(36\) | 5.85833 | + | 1.29614i | 0.976388 | + | 0.216023i | ||||
\(37\) | 2.54831 | + | 3.81381i | 0.418939 | + | 0.626986i | 0.979576 | − | 0.201075i | \(-0.0644436\pi\) |
−0.560637 | + | 0.828062i | \(0.689444\pi\) | |||||||
\(38\) | −0.432947 | − | 1.75982i | −0.0702333 | − | 0.285481i | ||||
\(39\) | 1.56474 | − | 0.0667024i | 0.250559 | − | 0.0106809i | ||||
\(40\) | 0.211930 | + | 0.0130964i | 0.0335090 | + | 0.00207072i | ||||
\(41\) | 4.77720 | − | 1.97878i | 0.746073 | − | 0.309033i | 0.0229347 | − | 0.999737i | \(-0.492699\pi\) |
0.723138 | + | 0.690704i | \(0.242699\pi\) | |||||||
\(42\) | −0.308697 | + | 0.562966i | −0.0476331 | + | 0.0868676i | ||||
\(43\) | −9.37912 | − | 1.86562i | −1.43030 | − | 0.284505i | −0.581643 | − | 0.813444i | \(-0.697590\pi\) |
−0.848659 | + | 0.528940i | \(0.822590\pi\) | |||||||
\(44\) | 0.467754 | − | 4.37152i | 0.0705165 | − | 0.659031i | ||||
\(45\) | −0.216346 | + | 0.0625756i | −0.0322510 | + | 0.00932823i | ||||
\(46\) | −0.938878 | + | 2.58957i | −0.138430 | + | 0.381811i | ||||
\(47\) | 8.04483 | − | 8.04483i | 1.17346 | − | 1.17346i | 0.192080 | − | 0.981379i | \(-0.438477\pi\) |
0.981379 | − | 0.192080i | \(-0.0615232\pi\) | |||||||
\(48\) | −4.77116 | + | 5.02355i | −0.688657 | + | 0.725087i | ||||
\(49\) | 4.90117 | + | 4.90117i | 0.700167 | + | 0.700167i | ||||
\(50\) | 6.39762 | − | 2.99296i | 0.904760 | − | 0.423268i | ||||
\(51\) | −4.03859 | − | 0.625860i | −0.565516 | − | 0.0876380i | ||||
\(52\) | −0.865897 | + | 1.58768i | −0.120078 | + | 0.220171i | ||||
\(53\) | −1.29422 | + | 6.50649i | −0.177775 | + | 0.893735i | 0.784181 | + | 0.620532i | \(0.213083\pi\) |
−0.961956 | + | 0.273203i | \(0.911917\pi\) | |||||||
\(54\) | 2.97200 | − | 6.72066i | 0.404437 | − | 0.914566i | ||||
\(55\) | 0.0631522 | + | 0.152463i | 0.00851544 | + | 0.0205581i | ||||
\(56\) | −0.373080 | − | 0.640659i | −0.0498549 | − | 0.0856117i | ||||
\(57\) | −2.21759 | + | 0.0945320i | −0.293727 | + | 0.0125211i | ||||
\(58\) | −4.76044 | + | 7.86701i | −0.625076 | + | 1.03299i | ||||
\(59\) | 3.86117 | − | 2.57995i | 0.502681 | − | 0.335881i | −0.278239 | − | 0.960512i | \(-0.589751\pi\) |
0.780920 | + | 0.624631i | \(0.214751\pi\) | |||||||
\(60\) | 0.0669410 | − | 0.251292i | 0.00864205 | − | 0.0324416i | ||||
\(61\) | −0.853477 | − | 4.29072i | −0.109277 | − | 0.549370i | −0.996173 | − | 0.0874022i | \(-0.972143\pi\) |
0.886897 | − | 0.461968i | \(-0.152857\pi\) | |||||||
\(62\) | −10.5643 | − | 9.65624i | −1.34167 | − | 1.22634i | ||||
\(63\) | 0.601331 | + | 0.506693i | 0.0757606 | + | 0.0638373i | ||||
\(64\) | −2.12818 | − | 7.71173i | −0.266022 | − | 0.963967i | ||||
\(65\) | − | 0.0678815i | − | 0.00841967i | ||||||
\(66\) | −5.13569 | − | 1.61807i | −0.632159 | − | 0.199171i | ||||
\(67\) | 1.79590 | − | 0.357228i | 0.219405 | − | 0.0436423i | −0.0841638 | − | 0.996452i | \(-0.526822\pi\) |
0.303568 | + | 0.952810i | \(0.401822\pi\) | |||||||
\(68\) | 3.02433 | − | 3.62252i | 0.366753 | − | 0.439295i | ||||
\(69\) | 2.88230 | + | 1.75309i | 0.346989 | + | 0.211048i | ||||
\(70\) | 0.0238084 | + | 0.0144068i | 0.00284565 | + | 0.00172194i | ||||
\(71\) | 5.21738 | + | 2.16111i | 0.619190 | + | 0.256477i | 0.670152 | − | 0.742224i | \(-0.266229\pi\) |
−0.0509625 | + | 0.998701i | \(0.516229\pi\) | |||||||
\(72\) | 4.87857 | + | 6.94259i | 0.574944 | + | 0.818192i | ||||
\(73\) | 10.0231 | − | 4.15171i | 1.17312 | − | 0.485921i | 0.290895 | − | 0.956755i | \(-0.406047\pi\) |
0.882222 | + | 0.470834i | \(0.156047\pi\) | |||||||
\(74\) | −0.978810 | + | 6.41248i | −0.113784 | + | 0.745436i | ||||
\(75\) | −2.04744 | − | 8.40470i | −0.236418 | − | 0.970491i | ||||
\(76\) | 1.22717 | − | 2.25009i | 0.140766 | − | 0.258103i | ||||
\(77\) | 0.320114 | − | 0.479085i | 0.0364804 | − | 0.0545967i | ||||
\(78\) | 1.69701 | + | 1.42334i | 0.192148 | + | 0.161162i | ||||
\(79\) | −5.93698 | + | 5.93698i | −0.667963 | + | 0.667963i | −0.957244 | − | 0.289281i | \(-0.906584\pi\) |
0.289281 | + | 0.957244i | \(0.406584\pi\) | |||||||
\(80\) | 0.208728 | + | 0.215880i | 0.0233365 | + | 0.0241361i | ||||
\(81\) | −7.35102 | − | 5.19254i | −0.816780 | − | 0.576949i | ||||
\(82\) | 6.87472 | + | 2.49251i | 0.759186 | + | 0.275252i | ||||
\(83\) | −6.79190 | + | 10.1648i | −0.745508 | + | 1.11573i | 0.243790 | + | 0.969828i | \(0.421609\pi\) |
−0.989299 | + | 0.145904i | \(0.953391\pi\) | |||||||
\(84\) | −0.859379 | + | 0.293117i | −0.0937659 | + | 0.0319817i | ||||
\(85\) | −0.0345567 | + | 0.173728i | −0.00374820 | + | 0.0188435i | ||||
\(86\) | −8.01040 | − | 10.8963i | −0.863783 | − | 1.17498i | ||||
\(87\) | 8.29520 | + | 7.61690i | 0.889339 | + | 0.816617i | ||||
\(88\) | 4.65927 | − | 4.11693i | 0.496680 | − | 0.438867i | ||||
\(89\) | 13.5709 | + | 5.62127i | 1.43852 | + | 0.595853i | 0.959438 | − | 0.281919i | \(-0.0909708\pi\) |
0.479079 | + | 0.877772i | \(0.340971\pi\) | |||||||
\(90\) | −0.285540 | − | 0.141103i | −0.0300985 | − | 0.0148735i | ||||
\(91\) | −0.197067 | + | 0.131676i | −0.0206583 | + | 0.0138034i | ||||
\(92\) | −3.45084 | + | 1.80732i | −0.359775 | + | 0.188426i | ||||
\(93\) | −14.1470 | + | 10.3506i | −1.46697 | + | 1.07330i | ||||
\(94\) | 16.0735 | − | 0.721820i | 1.65785 | − | 0.0744500i | ||||
\(95\) | 0.0962031i | 0.00987023i | ||||||||
\(96\) | −9.77352 | + | 0.691552i | −0.997506 | + | 0.0705812i | ||||
\(97\) | 13.0044i | 1.32039i | 0.751092 | + | 0.660197i | \(0.229527\pi\) | ||||
−0.751092 | + | 0.660197i | \(0.770473\pi\) | |||||||
\(98\) | 0.439755 | + | 9.79246i | 0.0444220 | + | 0.989188i | ||||
\(99\) | −3.18389 | + | 5.77520i | −0.319993 | + | 0.580430i | ||||
\(100\) | 9.53386 | + | 2.97995i | 0.953386 | + | 0.297995i | ||||
\(101\) | −9.68443 | + | 6.47093i | −0.963637 | + | 0.643882i | −0.934601 | − | 0.355697i | \(-0.884244\pi\) |
−0.0290356 | + | 0.999578i | \(0.509244\pi\) | |||||||
\(102\) | −3.61855 | − | 4.50665i | −0.358290 | − | 0.446225i | ||||
\(103\) | 12.4024 | + | 5.13724i | 1.22204 | + | 0.506187i | 0.898059 | − | 0.439875i | \(-0.144977\pi\) |
0.323985 | + | 0.946062i | \(0.394977\pi\) | |||||||
\(104\) | −2.41872 | + | 0.831127i | −0.237175 | + | 0.0814987i | ||||
\(105\) | 0.0230514 | − | 0.0251042i | 0.00224959 | − | 0.00244992i | ||||
\(106\) | −7.55902 | + | 5.55698i | −0.734197 | + | 0.539741i | ||||
\(107\) | −2.77724 | + | 13.9621i | −0.268486 | + | 1.34977i | 0.577424 | + | 0.816445i | \(0.304058\pi\) |
−0.845910 | + | 0.533326i | \(0.820942\pi\) | |||||||
\(108\) | 9.51472 | − | 4.17972i | 0.915555 | − | 0.402194i | ||||
\(109\) | 5.47007 | − | 8.18653i | 0.523937 | − | 0.784128i | −0.471262 | − | 0.881993i | \(-0.656201\pi\) |
0.995200 | + | 0.0978654i | \(0.0312015\pi\) | |||||||
\(110\) | −0.0795478 | + | 0.219405i | −0.00758459 | + | 0.0209194i | ||||
\(111\) | 7.46270 | + | 2.72491i | 0.708328 | + | 0.258637i | ||||
\(112\) | 0.221831 | − | 1.02472i | 0.0209611 | − | 0.0968272i | ||||
\(113\) | 7.56860 | − | 7.56860i | 0.711994 | − | 0.711994i | −0.254958 | − | 0.966952i | \(-0.582062\pi\) |
0.966952 | + | 0.254958i | \(0.0820617\pi\) | |||||||
\(114\) | −2.40504 | − | 2.01719i | −0.225252 | − | 0.188927i | ||||
\(115\) | 0.0812350 | − | 0.121577i | 0.00757521 | − | 0.0113371i | ||||
\(116\) | −12.4754 | + | 3.66994i | −1.15831 | + | 0.340746i | ||||
\(117\) | 2.11907 | − | 1.69356i | 0.195908 | − | 0.156570i | ||||
\(118\) | 6.49211 | + | 0.990964i | 0.597647 | + | 0.0912256i | ||||
\(119\) | 0.571385 | − | 0.236676i | 0.0523788 | − | 0.0216960i | ||||
\(120\) | 0.309642 | − | 0.198442i | 0.0282663 | − | 0.0181152i | ||||
\(121\) | −5.69827 | − | 2.36030i | −0.518024 | − | 0.214573i | ||||
\(122\) | 3.20300 | − | 5.29322i | 0.289986 | − | 0.479226i | ||||
\(123\) | 4.65407 | − | 7.65187i | 0.419643 | − | 0.689946i | ||||
\(124\) | −1.81428 | − | 20.1594i | −0.162927 | − | 1.81037i | ||||
\(125\) | −0.735875 | + | 0.146375i | −0.0658186 | + | 0.0130921i | ||||
\(126\) | 0.144252 | + | 1.10266i | 0.0128510 | + | 0.0982331i | ||||
\(127\) | − | 0.413244i | − | 0.0366695i | −0.999832 | − | 0.0183347i | \(-0.994164\pi\) | ||
0.999832 | − | 0.0183347i | \(-0.00583646\pi\) | |||||||
\(128\) | 5.13649 | − | 10.0805i | 0.454006 | − | 0.890999i | ||||
\(129\) | −15.0187 | + | 6.98451i | −1.32232 | + | 0.614951i | ||||
\(130\) | 0.0647678 | − | 0.0708585i | 0.00568052 | − | 0.00621470i | ||||
\(131\) | 1.04858 | + | 5.27154i | 0.0916144 | + | 0.460577i | 0.999173 | + | 0.0406521i | \(0.0129435\pi\) |
−0.907559 | + | 0.419925i | \(0.862056\pi\) | |||||||
\(132\) | −3.81706 | − | 6.58915i | −0.332233 | − | 0.573512i | ||||
\(133\) | 0.279288 | − | 0.186614i | 0.0242173 | − | 0.0161815i | ||||
\(134\) | 2.21551 | + | 1.34063i | 0.191391 | + | 0.115813i | ||||
\(135\) | −0.238423 | + | 0.308738i | −0.0205202 | + | 0.0265719i | ||||
\(136\) | 6.61332 | − | 0.895784i | 0.567087 | − | 0.0768129i | ||||
\(137\) | −5.79645 | − | 13.9939i | −0.495224 | − | 1.19558i | −0.952028 | − | 0.306010i | \(-0.901006\pi\) |
0.456804 | − | 0.889567i | \(-0.348994\pi\) | |||||||
\(138\) | 1.33603 | + | 4.58007i | 0.113730 | + | 0.389881i | ||||
\(139\) | 1.71904 | − | 8.64218i | 0.145807 | − | 0.733021i | −0.836827 | − | 0.547467i | \(-0.815592\pi\) |
0.982634 | − | 0.185554i | \(-0.0594078\pi\) | |||||||
\(140\) | 0.0111066 | + | 0.0377549i | 0.000938675 | + | 0.00319087i | ||||
\(141\) | 3.01777 | − | 19.4733i | 0.254142 | − | 1.63995i | ||||
\(142\) | 3.38421 | + | 7.23395i | 0.283997 | + | 0.607060i | ||||
\(143\) | −1.40552 | − | 1.40552i | −0.117535 | − | 0.117535i | ||||
\(144\) | −1.53162 | + | 11.9019i | −0.127635 | + | 0.991821i | ||||
\(145\) | 0.345148 | − | 0.345148i | 0.0286630 | − | 0.0286630i | ||||
\(146\) | 14.4240 | + | 5.22958i | 1.19374 | + | 0.432803i | ||||
\(147\) | 11.8637 | + | 1.83852i | 0.978505 | + | 0.151639i | ||||
\(148\) | −7.14008 | + | 5.75979i | −0.586911 | + | 0.473452i | ||||
\(149\) | 6.01868 | + | 1.19719i | 0.493069 | + | 0.0980776i | 0.435361 | − | 0.900256i | \(-0.356621\pi\) |
0.0577083 | + | 0.998333i | \(0.481621\pi\) | |||||||
\(150\) | 5.88196 | − | 10.7268i | 0.480260 | − | 0.875841i | ||||
\(151\) | 7.84809 | − | 3.25079i | 0.638669 | − | 0.264545i | −0.0397624 | − | 0.999209i | \(-0.512660\pi\) |
0.678431 | + | 0.734664i | \(0.262660\pi\) | |||||||
\(152\) | 3.42786 | − | 1.17789i | 0.278036 | − | 0.0955395i | ||||
\(153\) | −6.28546 | + | 3.25556i | −0.508150 | + | 0.263196i | ||||
\(154\) | 0.791262 | − | 0.194664i | 0.0637617 | − | 0.0156865i | ||||
\(155\) | 0.422098 | + | 0.631715i | 0.0339038 | + | 0.0507406i | ||||
\(156\) | 0.413377 | + | 3.10493i | 0.0330967 | + | 0.248594i | ||||
\(157\) | −12.5487 | + | 2.49608i | −1.00149 | + | 0.199209i | −0.668493 | − | 0.743718i | \(-0.733060\pi\) |
−0.332998 | + | 0.942927i | \(0.608060\pi\) | |||||||
\(158\) | −11.8620 | + | 0.532694i | −0.943691 | + | 0.0423788i | ||||
\(159\) | 4.84530 | + | 10.4188i | 0.384257 | + | 0.826264i | ||||
\(160\) | 0.0119050 | + | 0.424501i | 0.000941176 | + | 0.0335598i | ||||
\(161\) | −0.510530 | −0.0402354 | ||||||||
\(162\) | −2.71904 | − | 12.4341i | −0.213628 | − | 0.976915i | ||||
\(163\) | 1.41044 | + | 7.09076i | 0.110474 | + | 0.555391i | 0.995888 | + | 0.0905883i | \(0.0288747\pi\) |
−0.885414 | + | 0.464803i | \(0.846125\pi\) | |||||||
\(164\) | 4.79803 | + | 9.16120i | 0.374663 | + | 0.715370i | ||||
\(165\) | 0.244207 | + | 0.148533i | 0.0190115 | + | 0.0115633i | ||||
\(166\) | −16.7883 | + | 4.13022i | −1.30303 | + | 0.320567i | ||||
\(167\) | 5.06460 | − | 12.2270i | 0.391911 | − | 0.946156i | −0.597613 | − | 0.801785i | \(-0.703884\pi\) |
0.989524 | − | 0.144371i | \(-0.0461160\pi\) | |||||||
\(168\) | −1.17674 | − | 0.513988i | −0.0907874 | − | 0.0396550i | ||||
\(169\) | −4.66199 | − | 11.2550i | −0.358615 | − | 0.865773i | ||||
\(170\) | −0.201832 | + | 0.148376i | −0.0154798 | + | 0.0113799i | ||||
\(171\) | −3.00319 | + | 2.40015i | −0.229660 | + | 0.183544i | ||||
\(172\) | 2.03484 | − | 19.0172i | 0.155155 | − | 1.45005i | ||||
\(173\) | −20.0687 | − | 13.4095i | −1.52580 | − | 1.01950i | −0.983830 | − | 0.179104i | \(-0.942680\pi\) |
−0.541966 | − | 0.840400i | \(-0.682320\pi\) | |||||||
\(174\) | 1.39148 | + | 15.8657i | 0.105488 | + | 1.20277i | ||||
\(175\) | 0.925671 | + | 0.925671i | 0.0699742 | + | 0.0699742i | ||||
\(176\) | 8.79170 | + | 0.148066i | 0.662699 | + | 0.0111609i | ||||
\(177\) | 2.75875 | − | 7.55536i | 0.207360 | − | 0.567896i | ||||
\(178\) | 8.80268 | + | 18.8162i | 0.659789 | + | 1.41034i | ||||
\(179\) | −10.2002 | − | 6.81555i | −0.762398 | − | 0.509418i | 0.112543 | − | 0.993647i | \(-0.464100\pi\) |
−0.874941 | + | 0.484229i | \(0.839100\pi\) | |||||||
\(180\) | −0.163432 | − | 0.419733i | −0.0121815 | − | 0.0312851i | ||||
\(181\) | 10.3436 | + | 2.05747i | 0.768834 | + | 0.152931i | 0.563897 | − | 0.825845i | \(-0.309301\pi\) |
0.204936 | + | 0.978775i | \(0.434301\pi\) | |||||||
\(182\) | −0.331346 | − | 0.0505771i | −0.0245610 | − | 0.00374903i | ||||
\(183\) | −5.58132 | − | 5.12493i | −0.412583 | − | 0.378846i | ||||
\(184\) | −5.32659 | − | 1.40597i | −0.392682 | − | 0.103649i | ||||
\(185\) | 0.131773 | − | 0.318128i | 0.00968815 | − | 0.0233893i | ||||
\(186\) | −24.6432 | − | 2.69354i | −1.80693 | − | 0.197500i | ||||
\(187\) | 2.88161 | + | 4.31264i | 0.210724 | + | 0.315371i | ||||
\(188\) | 17.4671 | + | 14.5827i | 1.27392 | + | 1.06355i | ||||
\(189\) | 1.35879 | + | 0.0932803i | 0.0988374 | + | 0.00678514i | ||||
\(190\) | −0.0917903 | + | 0.100422i | −0.00665917 | + | 0.00728539i | ||||
\(191\) | −27.5926 | −1.99653 | −0.998265 | − | 0.0588807i | \(-0.981247\pi\) | ||||
−0.998265 | + | 0.0588807i | \(0.981247\pi\) | |||||||
\(192\) | −10.8620 | − | 8.60334i | −0.783896 | − | 0.620893i | ||||
\(193\) | −5.03806 | −0.362648 | −0.181324 | − | 0.983423i | \(-0.558038\pi\) | ||||
−0.181324 | + | 0.983423i | \(0.558038\pi\) | |||||||
\(194\) | −12.4079 | + | 13.5747i | −0.890834 | + | 0.974606i | ||||
\(195\) | −0.0694250 | − | 0.0948887i | −0.00497163 | − | 0.00679512i | ||||
\(196\) | −8.88425 | + | 10.6415i | −0.634589 | + | 0.760107i | ||||
\(197\) | −7.59394 | − | 11.3651i | −0.541046 | − | 0.809732i | 0.455718 | − | 0.890124i | \(-0.349383\pi\) |
−0.996763 | + | 0.0803923i | \(0.974383\pi\) | |||||||
\(198\) | −8.83382 | + | 2.99063i | −0.627793 | + | 0.212535i | ||||
\(199\) | 4.56453 | − | 11.0197i | 0.323571 | − | 0.781169i | −0.675470 | − | 0.737387i | \(-0.736059\pi\) |
0.999041 | − | 0.0437818i | \(-0.0139407\pi\) | |||||||
\(200\) | 7.10871 | + | 12.2072i | 0.502662 | + | 0.863179i | ||||
\(201\) | 2.14507 | − | 2.33609i | 0.151301 | − | 0.164775i | ||||
\(202\) | −16.2833 | − | 2.48550i | −1.14569 | − | 0.174879i | ||||
\(203\) | −1.67152 | − | 0.332486i | −0.117318 | − | 0.0233359i | ||||
\(204\) | 0.522690 | − | 8.15686i | 0.0365956 | − | 0.571095i | ||||
\(205\) | −0.322759 | − | 0.215661i | −0.0225425 | − | 0.0150624i | ||||
\(206\) | 8.04471 | + | 17.1960i | 0.560501 | + | 1.19811i | ||||
\(207\) | 5.82201 | − | 0.497268i | 0.404657 | − | 0.0345625i | ||||
\(208\) | −3.31780 | − | 1.44020i | −0.230048 | − | 0.0998600i | ||||
\(209\) | 1.99193 | + | 1.99193i | 0.137784 | + | 0.137784i | ||||
\(210\) | 0.0480151 | − | 0.00421111i | 0.00331336 | − | 0.000290594i | ||||
\(211\) | 2.76673 | + | 1.84867i | 0.190470 | + | 0.127268i | 0.647149 | − | 0.762364i | \(-0.275961\pi\) |
−0.456679 | + | 0.889631i | \(0.650961\pi\) | |||||||
\(212\) | −13.1926 | − | 1.41161i | −0.906072 | − | 0.0969500i | ||||
\(213\) | 9.50341 | − | 2.31509i | 0.651163 | − | 0.158627i | ||||
\(214\) | −16.2207 | + | 11.9246i | −1.10883 | + | 0.815149i | ||||
\(215\) | 0.274728 | + | 0.663251i | 0.0187363 | + | 0.0452334i | ||||
\(216\) | 13.9200 | + | 4.71526i | 0.947136 | + | 0.320833i | ||||
\(217\) | 1.01515 | − | 2.45079i | 0.0689130 | − | 0.166371i | ||||
\(218\) | 13.5210 | − | 3.32640i | 0.915757 | − | 0.225292i | ||||
\(219\) | 9.76478 | − | 16.0545i | 0.659843 | − | 1.08486i | ||||
\(220\) | −0.292377 | + | 0.153128i | −0.0197121 | + | 0.0103239i | ||||
\(221\) | −0.416231 | − | 2.09254i | −0.0279988 | − | 0.140759i | ||||
\(222\) | 5.19005 | + | 9.96480i | 0.348334 | + | 0.668794i | ||||
\(223\) | −12.6115 | −0.844531 | −0.422265 | − | 0.906472i | \(-0.638765\pi\) | ||||
−0.422265 | + | 0.906472i | \(0.638765\pi\) | |||||||
\(224\) | 1.20928 | − | 0.858007i | 0.0807984 | − | 0.0573280i | ||||
\(225\) | −11.4578 | − | 9.65459i | −0.763856 | − | 0.643639i | ||||
\(226\) | 15.1220 | − | 0.679090i | 1.00590 | − | 0.0451724i | ||||
\(227\) | 13.6050 | − | 2.70621i | 0.902997 | − | 0.179617i | 0.278309 | − | 0.960492i | \(-0.410226\pi\) |
0.624688 | + | 0.780874i | \(0.285226\pi\) | |||||||
\(228\) | −0.585847 | − | 4.40037i | −0.0387986 | − | 0.291422i | ||||
\(229\) | −0.0914294 | − | 0.136834i | −0.00604182 | − | 0.00904223i | 0.828436 | − | 0.560083i | \(-0.189231\pi\) |
−0.834478 | + | 0.551041i | \(0.814231\pi\) | |||||||
\(230\) | 0.200798 | − | 0.0493998i | 0.0132402 | − | 0.00325733i | ||||
\(231\) | −0.0425040 | − | 0.997085i | −0.00279656 | − | 0.0656034i | ||||
\(232\) | −16.5241 | − | 8.07225i | −1.08486 | − | 0.529969i | ||||
\(233\) | −15.0334 | + | 6.22705i | −0.984873 | + | 0.407948i | −0.816229 | − | 0.577729i | \(-0.803939\pi\) |
−0.168645 | + | 0.985677i | \(0.553939\pi\) | |||||||
\(234\) | 3.82788 | + | 0.254035i | 0.250237 | + | 0.0166068i | ||||
\(235\) | −0.837684 | − | 0.166626i | −0.0546445 | − | 0.0108695i | ||||
\(236\) | 5.83131 | + | 7.22874i | 0.379586 | + | 0.470551i | ||||
\(237\) | −2.22708 | + | 14.3710i | −0.144664 | + | 0.933499i | ||||
\(238\) | 0.822263 | + | 0.298121i | 0.0532994 | + | 0.0193243i | ||||
\(239\) | 9.91200 | − | 9.91200i | 0.641154 | − | 0.641154i | −0.309685 | − | 0.950839i | \(-0.600224\pi\) |
0.950839 | + | 0.309685i | \(0.100224\pi\) | |||||||
\(240\) | 0.512561 | + | 0.0882943i | 0.0330857 | + | 0.00569938i | ||||
\(241\) | 6.54008 | + | 6.54008i | 0.421283 | + | 0.421283i | 0.885645 | − | 0.464362i | \(-0.153716\pi\) |
−0.464362 | + | 0.885645i | \(0.653716\pi\) | |||||||
\(242\) | −3.69613 | − | 7.90070i | −0.237596 | − | 0.507877i | ||||
\(243\) | −15.5863 | + | 0.259739i | −0.999861 | + | 0.0166623i | ||||
\(244\) | 8.39389 | − | 2.46927i | 0.537364 | − | 0.158079i | ||||
\(245\) | 0.101514 | − | 0.510344i | 0.00648548 | − | 0.0326047i | ||||
\(246\) | 12.1591 | − | 3.54686i | 0.775234 | − | 0.226140i | ||||
\(247\) | −0.443436 | − | 1.07055i | −0.0282151 | − | 0.0681174i | ||||
\(248\) | 17.3409 | − | 22.7746i | 1.10115 | − | 1.44619i | ||||
\(249\) | 0.901814 | + | 21.1553i | 0.0571502 | + | 1.34066i | ||||
\(250\) | −0.907807 | − | 0.549327i | −0.0574148 | − | 0.0347425i | ||||
\(251\) | 18.8565 | − | 12.5995i | 1.19021 | − | 0.795273i | 0.207106 | − | 0.978318i | \(-0.433595\pi\) |
0.983105 | + | 0.183045i | \(0.0585954\pi\) | |||||||
\(252\) | −0.901507 | + | 1.28866i | −0.0567896 | + | 0.0811777i | ||||
\(253\) | −0.835295 | − | 4.19931i | −0.0525145 | − | 0.264008i | ||||
\(254\) | 0.394289 | − | 0.431367i | 0.0247399 | − | 0.0270664i | ||||
\(255\) | 0.129373 | + | 0.278190i | 0.00810167 | + | 0.0174209i | ||||
\(256\) | 14.9799 | − | 5.62170i | 0.936242 | − | 0.351356i | ||||
\(257\) | 0.247927i | 0.0154652i | 0.999970 | + | 0.00773262i | \(0.00246139\pi\) | ||||
−0.999970 | + | 0.00773262i | \(0.997539\pi\) | |||||||
\(258\) | −22.3415 | − | 7.03901i | −1.39092 | − | 0.438229i | ||||
\(259\) | −1.17917 | + | 0.234552i | −0.0732703 | + | 0.0145744i | ||||
\(260\) | 0.135217 | − | 0.0121690i | 0.00838577 | − | 0.000754691i | ||||
\(261\) | 19.3856 | + | 2.16352i | 1.19994 | + | 0.133919i | ||||
\(262\) | −3.93518 | + | 6.50321i | −0.243116 | + | 0.401769i | ||||
\(263\) | −24.7866 | − | 10.2669i | −1.52841 | − | 0.633087i | −0.549153 | − | 0.835722i | \(-0.685050\pi\) |
−0.979254 | + | 0.202635i | \(0.935050\pi\) | |||||||
\(264\) | 2.30245 | − | 10.5201i | 0.141706 | − | 0.647467i | ||||
\(265\) | 0.460111 | − | 0.190584i | 0.0282644 | − | 0.0117075i | ||||
\(266\) | 0.469591 | + | 0.0716789i | 0.0287924 | + | 0.00439492i | ||||
\(267\) | 24.7193 | − | 6.02179i | 1.51280 | − | 0.368527i | ||||
\(268\) | 1.03353 | + | 3.51331i | 0.0631328 | + | 0.214610i | ||||
\(269\) | 7.89201 | − | 11.8112i | 0.481184 | − | 0.720143i | −0.508868 | − | 0.860845i | \(-0.669936\pi\) |
0.990052 | + | 0.140701i | \(0.0449358\pi\) | |||||||
\(270\) | −0.543455 | + | 0.0947906i | −0.0330736 | + | 0.00576877i | ||||
\(271\) | −7.91386 | + | 7.91386i | −0.480733 | + | 0.480733i | −0.905366 | − | 0.424633i | \(-0.860403\pi\) |
0.424633 | + | 0.905366i | \(0.360403\pi\) | |||||||
\(272\) | 7.75804 | + | 5.37490i | 0.470400 | + | 0.325901i | ||||
\(273\) | −0.140802 | + | 0.385613i | −0.00852172 | + | 0.0233384i | ||||
\(274\) | 7.30133 | − | 20.1382i | 0.441089 | − | 1.21659i | ||||
\(275\) | −6.09949 | + | 9.12853i | −0.367813 | + | 0.550471i | ||||
\(276\) | −2.97536 | + | 6.05568i | −0.179096 | + | 0.364509i | ||||
\(277\) | −4.80902 | + | 24.1766i | −0.288946 | + | 1.45263i | 0.514622 | + | 0.857417i | \(0.327932\pi\) |
−0.803568 | + | 0.595213i | \(0.797068\pi\) | |||||||
\(278\) | 10.0402 | − | 7.38101i | 0.602171 | − | 0.442683i | ||||
\(279\) | −9.18951 | + | 28.9373i | −0.550161 | + | 1.73243i | ||||
\(280\) | −0.0244295 | + | 0.0500078i | −0.00145994 | + | 0.00298854i | ||||
\(281\) | 21.3506 | + | 8.84369i | 1.27367 | + | 0.527570i | 0.914077 | − | 0.405540i | \(-0.132916\pi\) |
0.359590 | + | 0.933110i | \(0.382916\pi\) | |||||||
\(282\) | 21.7302 | − | 17.4479i | 1.29401 | − | 1.03901i | ||||
\(283\) | −2.13260 | + | 1.42496i | −0.126770 | + | 0.0847050i | −0.617339 | − | 0.786698i | \(-0.711789\pi\) |
0.490569 | + | 0.871403i | \(0.336789\pi\) | |||||||
\(284\) | −3.36951 | + | 10.7802i | −0.199944 | + | 0.639686i | ||||
\(285\) | 0.0983905 | + | 0.134478i | 0.00582815 | + | 0.00796580i | ||||
\(286\) | −0.126110 | − | 2.80820i | −0.00745701 | − | 0.166053i | ||||
\(287\) | 1.35534i | 0.0800034i | ||||||||
\(288\) | −12.9547 | + | 10.9624i | −0.763364 | + | 0.645968i | ||||
\(289\) | − | 11.4327i | − | 0.672512i | ||||||
\(290\) | 0.689602 | − | 0.0309683i | 0.0404948 | − | 0.00181852i | ||||
\(291\) | 13.3001 | + | 18.1783i | 0.779664 | + | 1.06563i | ||||
\(292\) | 10.0668 | + | 19.2213i | 0.589116 | + | 1.12484i | ||||
\(293\) | −15.6865 | + | 10.4814i | −0.916416 | + | 0.612329i | −0.921804 | − | 0.387656i | \(-0.873285\pi\) |
0.00538828 | + | 0.999985i | \(0.498285\pi\) | |||||||
\(294\) | 10.6298 | + | 13.2387i | 0.619945 | + | 0.772098i | ||||
\(295\) | −0.322079 | − | 0.133409i | −0.0187522 | − | 0.00776740i | ||||
\(296\) | −12.9488 | − | 0.800183i | −0.752634 | − | 0.0465097i | ||||
\(297\) | 1.45589 | + | 11.3292i | 0.0844795 | + | 0.657387i | ||||
\(298\) | 5.14036 | + | 6.99230i | 0.297773 | + | 0.405053i | ||||
\(299\) | −0.343591 | + | 1.72735i | −0.0198704 | + | 0.0998953i | ||||
\(300\) | 16.3747 | − | 5.58509i | 0.945394 | − | 0.322456i | ||||
\(301\) | 1.39257 | − | 2.08414i | 0.0802667 | − | 0.120128i | ||||
\(302\) | 11.2940 | + | 4.09476i | 0.649894 | + | 0.235627i | ||||
\(303\) | −6.91939 | + | 18.9501i | −0.397509 | + | 1.08865i | ||||
\(304\) | 4.70206 | + | 2.04108i | 0.269681 | + | 0.117064i | ||||
\(305\) | −0.232229 | + | 0.232229i | −0.0132974 | + | 0.0132974i | ||||
\(306\) | −9.66734 | − | 2.59883i | −0.552645 | − | 0.148565i | ||||
\(307\) | 7.34995 | − | 11.0000i | 0.419484 | − | 0.627802i | −0.560198 | − | 0.828359i | \(-0.689275\pi\) |
0.979682 | + | 0.200556i | \(0.0642750\pi\) | |||||||
\(308\) | 1.01170 | + | 0.551766i | 0.0576469 | + | 0.0314398i | ||||
\(309\) | 22.5908 | − | 5.50327i | 1.28515 | − | 0.313070i | ||||
\(310\) | −0.162129 | + | 1.06216i | −0.00920830 | + | 0.0603264i | ||||
\(311\) | 4.34991 | − | 1.80179i | 0.246661 | − | 0.102170i | −0.255928 | − | 0.966696i | \(-0.582381\pi\) |
0.502589 | + | 0.864526i | \(0.332381\pi\) | |||||||
\(312\) | −2.53101 | + | 3.63552i | −0.143290 | + | 0.205821i | ||||
\(313\) | −8.83610 | − | 3.66003i | −0.499446 | − | 0.206877i | 0.118716 | − | 0.992928i | \(-0.462122\pi\) |
−0.618162 | + | 0.786051i | \(0.712122\pi\) | |||||||
\(314\) | −15.4806 | − | 9.36751i | −0.873619 | − | 0.528639i | ||||
\(315\) | 0.00654758 | − | 0.0586678i | 0.000368914 | − | 0.00330555i | ||||
\(316\) | −12.8905 | − | 10.7619i | −0.725146 | − | 0.605402i | ||||
\(317\) | 1.84684 | − | 0.367359i | 0.103729 | − | 0.0206329i | −0.142953 | − | 0.989729i | \(-0.545660\pi\) |
0.246682 | + | 0.969097i | \(0.420660\pi\) | |||||||
\(318\) | −4.88310 | + | 15.4988i | −0.273831 | + | 0.869127i | ||||
\(319\) | − | 14.2929i | − | 0.800249i | ||||||
\(320\) | −0.392603 | + | 0.454477i | −0.0219472 | + | 0.0254060i | ||||
\(321\) | 10.3974 | + | 22.3575i | 0.580327 | + | 1.24787i | ||||
\(322\) | −0.532920 | − | 0.487112i | −0.0296984 | − | 0.0271457i | ||||
\(323\) | 0.589892 | + | 2.96559i | 0.0328225 | + | 0.165010i | ||||
\(324\) | 9.02547 | − | 15.5737i | 0.501415 | − | 0.865207i | ||||
\(325\) | 3.75494 | − | 2.50897i | 0.208287 | − | 0.139173i | ||||
\(326\) | −5.29321 | + | 8.74747i | −0.293164 | + | 0.484477i | ||||
\(327\) | −0.726304 | − | 17.0381i | −0.0401647 | − | 0.942207i | ||||
\(328\) | −3.73253 | + | 14.1409i | −0.206095 | + | 0.780802i | ||||
\(329\) | 1.14120 | + | 2.75511i | 0.0629166 | + | 0.151894i | ||||
\(330\) | 0.113197 | + | 0.388053i | 0.00623129 | + | 0.0213616i | ||||
\(331\) | −5.48542 | + | 27.5771i | −0.301506 | + | 1.51577i | 0.471780 | + | 0.881716i | \(0.343612\pi\) |
−0.773286 | + | 0.634057i | \(0.781388\pi\) | |||||||
\(332\) | −21.4653 | − | 11.7069i | −1.17806 | − | 0.642500i | ||||
\(333\) | 13.2187 | − | 3.82334i | 0.724378 | − | 0.209518i | ||||
\(334\) | 16.9529 | − | 7.93096i | 0.927621 | − | 0.433963i | ||||
\(335\) | −0.0972006 | − | 0.0972006i | −0.00531064 | − | 0.00531064i | ||||
\(336\) | −0.737935 | − | 1.65929i | −0.0402576 | − | 0.0905218i | ||||
\(337\) | −14.8867 | + | 14.8867i | −0.810928 | + | 0.810928i | −0.984773 | − | 0.173845i | \(-0.944381\pi\) |
0.173845 | + | 0.984773i | \(0.444381\pi\) | |||||||
\(338\) | 5.87234 | − | 16.1968i | 0.319413 | − | 0.880990i | ||||
\(339\) | 2.83913 | − | 18.3205i | 0.154200 | − | 0.995034i | ||||
\(340\) | −0.352253 | − | 0.0376912i | −0.0191036 | − | 0.00204409i | ||||
\(341\) | 21.8197 | + | 4.34020i | 1.18160 | + | 0.235035i | ||||
\(342\) | −5.42496 | − | 0.360023i | −0.293348 | − | 0.0194678i | ||||
\(343\) | −3.37364 | + | 1.39741i | −0.182159 | + | 0.0754528i | ||||
\(344\) | 20.2690 | − | 17.9097i | 1.09283 | − | 0.965625i | ||||
\(345\) | −0.0107862 | − | 0.253029i | −0.000580710 | − | 0.0136226i | ||||
\(346\) | −8.15443 | − | 33.1458i | −0.438385 | − | 1.78193i | ||||
\(347\) | 10.7084 | + | 16.0262i | 0.574855 | + | 0.860332i | 0.998975 | − | 0.0452745i | \(-0.0144162\pi\) |
−0.424119 | + | 0.905606i | \(0.639416\pi\) | |||||||
\(348\) | −13.6854 | + | 17.8891i | −0.733615 | + | 0.958956i | ||||
\(349\) | 18.0984 | − | 3.59999i | 0.968783 | − | 0.192703i | 0.314755 | − | 0.949173i | \(-0.398078\pi\) |
0.654028 | + | 0.756470i | \(0.273078\pi\) | |||||||
\(350\) | 0.0830555 | + | 1.84948i | 0.00443950 | + | 0.0988588i | ||||
\(351\) | 1.23009 | − | 4.53461i | 0.0656572 | − | 0.242040i | ||||
\(352\) | 9.03599 | + | 8.54299i | 0.481620 | + | 0.455343i | ||||
\(353\) | −10.1922 | −0.542474 | −0.271237 | − | 0.962513i | \(-0.587433\pi\) | ||||
−0.271237 | + | 0.962513i | \(0.587433\pi\) | |||||||
\(354\) | 10.0885 | − | 5.25450i | 0.536200 | − | 0.279273i | ||||
\(355\) | −0.0827081 | − | 0.415802i | −0.00438969 | − | 0.0220685i | ||||
\(356\) | −8.76444 | + | 28.0404i | −0.464514 | + | 1.48614i | ||||
\(357\) | 0.556659 | − | 0.915217i | 0.0294615 | − | 0.0484384i | ||||
\(358\) | −4.14460 | − | 16.8468i | −0.219049 | − | 0.890379i | ||||
\(359\) | −6.12003 | + | 14.7751i | −0.323003 | + | 0.779798i | 0.676074 | + | 0.736834i | \(0.263680\pi\) |
−0.999077 | + | 0.0429641i | \(0.986320\pi\) | |||||||
\(360\) | 0.229881 | − | 0.594076i | 0.0121158 | − | 0.0313106i | ||||
\(361\) | −6.64254 | − | 16.0365i | −0.349607 | − | 0.844027i | ||||
\(362\) | 8.83413 | + | 12.0168i | 0.464311 | + | 0.631591i | ||||
\(363\) | −10.3793 | + | 2.52847i | −0.544774 | + | 0.132710i | ||||
\(364\) | −0.297620 | − | 0.368943i | −0.0155995 | − | 0.0193379i | ||||
\(365\) | −0.677187 | − | 0.452482i | −0.0354456 | − | 0.0236840i | ||||
\(366\) | −0.936237 | − | 10.6750i | −0.0489379 | − | 0.557991i | ||||
\(367\) | −9.95497 | − | 9.95497i | −0.519645 | − | 0.519645i | 0.397819 | − | 0.917464i | \(-0.369767\pi\) |
−0.917464 | + | 0.397819i | \(0.869767\pi\) | |||||||
\(368\) | −4.21872 | − | 6.54990i | −0.219916 | − | 0.341437i | ||||
\(369\) | −1.32014 | − | 15.4561i | −0.0687235 | − | 0.804614i | ||||
\(370\) | 0.441088 | − | 0.206351i | 0.0229311 | − | 0.0107277i | ||||
\(371\) | −1.44581 | − | 0.966058i | −0.0750626 | − | 0.0501552i | ||||
\(372\) | −23.1539 | − | 26.3245i | −1.20048 | − | 1.36486i | ||||
\(373\) | −19.3566 | − | 3.85026i | −1.00224 | − | 0.199359i | −0.333420 | − | 0.942779i | \(-0.608203\pi\) |
−0.668825 | + | 0.743420i | \(0.733203\pi\) | |||||||
\(374\) | −1.10683 | + | 7.25121i | −0.0572330 | + | 0.374951i | ||||
\(375\) | −0.878945 | + | 0.957218i | −0.0453885 | + | 0.0494305i | ||||
\(376\) | 4.31930 | + | 31.8881i | 0.222751 | + | 1.64450i | ||||
\(377\) | −2.24990 | + | 5.43173i | −0.115876 | + | 0.279748i | ||||
\(378\) | 1.32938 | + | 1.39383i | 0.0683759 | + | 0.0716911i | ||||
\(379\) | 0.800844 | + | 1.19855i | 0.0411366 | + | 0.0615653i | 0.851468 | − | 0.524407i | \(-0.175713\pi\) |
−0.810331 | + | 0.585972i | \(0.800713\pi\) | |||||||
\(380\) | −0.191632 | + | 0.0172462i | −0.00983050 | + | 0.000884711i | ||||
\(381\) | −0.422641 | − | 0.577657i | −0.0216525 | − | 0.0295942i | ||||
\(382\) | −28.8027 | − | 26.3269i | −1.47367 | − | 1.34700i | ||||
\(383\) | −21.7067 | −1.10916 | −0.554580 | − | 0.832130i | \(-0.687121\pi\) | ||||
−0.554580 | + | 0.832130i | \(0.687121\pi\) | |||||||
\(384\) | −3.12962 | − | 19.3444i | −0.159708 | − | 0.987164i | ||||
\(385\) | −0.0432554 | −0.00220450 | ||||||||
\(386\) | −5.25901 | − | 4.80697i | −0.267677 | − | 0.244668i | ||||
\(387\) | −13.8507 | + | 25.1236i | −0.704071 | + | 1.27710i | ||||
\(388\) | −25.9041 | + | 2.33128i | −1.31508 | + | 0.118353i | ||||
\(389\) | −17.4324 | − | 26.0894i | −0.883858 | − | 1.32279i | −0.945814 | − | 0.324708i | \(-0.894734\pi\) |
0.0619565 | − | 0.998079i | \(-0.480266\pi\) | |||||||
\(390\) | 0.0180666 | − | 0.165291i | 0.000914836 | − | 0.00836982i | ||||
\(391\) | 1.75870 | − | 4.24588i | 0.0889413 | − | 0.214723i | ||||
\(392\) | −19.4273 | + | 2.63145i | −0.981225 | + | 0.132908i | ||||
\(393\) | 6.85717 | + | 6.29645i | 0.345898 | + | 0.317614i | ||||
\(394\) | 2.91685 | − | 19.1092i | 0.146949 | − | 0.962706i | ||||
\(395\) | 0.618201 | + | 0.122968i | 0.0311050 | + | 0.00618718i | ||||
\(396\) | −12.0747 | − | 5.30684i | −0.606776 | − | 0.266679i | ||||
\(397\) | 10.9547 | + | 7.31968i | 0.549799 | + | 0.367364i | 0.799227 | − | 0.601029i | \(-0.205242\pi\) |
−0.249428 | + | 0.968393i | \(0.580242\pi\) | |||||||
\(398\) | 15.2790 | − | 7.14786i | 0.765866 | − | 0.358290i | ||||
\(399\) | 0.199547 | − | 0.546499i | 0.00998986 | − | 0.0273591i | ||||
\(400\) | −4.22680 | + | 19.5252i | −0.211340 | + | 0.976259i | ||||
\(401\) | 20.2825 | + | 20.2825i | 1.01286 | + | 1.01286i | 0.999916 | + | 0.0129431i | \(0.00412004\pi\) |
0.0129431 | + | 0.999916i | \(0.495880\pi\) | |||||||
\(402\) | 4.46808 | − | 0.391867i | 0.222848 | − | 0.0195446i | ||||
\(403\) | −7.60892 | − | 5.08412i | −0.379027 | − | 0.253258i | ||||
\(404\) | −14.6259 | − | 18.1309i | −0.727665 | − | 0.902044i | ||||
\(405\) | −0.0175239 | + | 0.675416i | −0.000870767 | + | 0.0335617i | ||||
\(406\) | −1.42759 | − | 1.94192i | −0.0708501 | − | 0.0963757i | ||||
\(407\) | −3.85857 | − | 9.31541i | −0.191262 | − | 0.461748i | ||||
\(408\) | 8.32833 | − | 8.01587i | 0.412314 | − | 0.396845i | ||||
\(409\) | −6.31288 | + | 15.2406i | −0.312152 | + | 0.753601i | 0.687473 | + | 0.726210i | \(0.258720\pi\) |
−0.999625 | + | 0.0273914i | \(0.991280\pi\) | |||||||
\(410\) | −0.131145 | − | 0.533073i | −0.00647681 | − | 0.0263266i | ||||
\(411\) | −22.4147 | − | 13.6332i | −1.10563 | − | 0.672476i | ||||
\(412\) | −8.00976 | + | 25.6259i | −0.394613 | + | 1.26250i | ||||
\(413\) | 0.237465 | + | 1.19382i | 0.0116849 | + | 0.0587439i | ||||
\(414\) | 6.55179 | + | 5.03588i | 0.322003 | + | 0.247500i | ||||
\(415\) | 0.917756 | 0.0450509 | ||||||||
\(416\) | −2.08916 | − | 4.66898i | −0.102430 | − | 0.228916i | ||||
\(417\) | −6.43572 | − | 13.8387i | −0.315159 | − | 0.677683i | ||||
\(418\) | 0.178725 | + | 3.97984i | 0.00874172 | + | 0.194661i | ||||
\(419\) | 31.4491 | − | 6.25562i | 1.53639 | − | 0.305607i | 0.646904 | − | 0.762571i | \(-0.276063\pi\) |
0.889485 | + | 0.456964i | \(0.151063\pi\) | |||||||
\(420\) | 0.0541388 | + | 0.0414169i | 0.00264170 | + | 0.00202094i | ||||
\(421\) | −9.69566 | − | 14.5106i | −0.472537 | − | 0.707202i | 0.516266 | − | 0.856428i | \(-0.327322\pi\) |
−0.988803 | + | 0.149226i | \(0.952322\pi\) | |||||||
\(422\) | 1.12419 | + | 4.56957i | 0.0547249 | + | 0.222443i | ||||
\(423\) | −15.6976 | − | 30.3073i | −0.763246 | − | 1.47359i | ||||
\(424\) | −12.4243 | − | 14.0610i | −0.603378 | − | 0.682862i | ||||
\(425\) | −10.8872 | + | 4.50964i | −0.528109 | + | 0.218750i | ||||
\(426\) | 12.1291 | + | 6.65088i | 0.587656 | + | 0.322236i | ||||
\(427\) | 1.12466 | + | 0.223709i | 0.0544262 | + | 0.0108260i | ||||
\(428\) | −28.3097 | − | 3.02915i | −1.36840 | − | 0.146420i | ||||
\(429\) | −3.40219 | − | 0.527237i | −0.164259 | − | 0.0254553i | ||||
\(430\) | −0.346053 | + | 0.954465i | −0.0166881 | + | 0.0460284i | ||||
\(431\) | 13.1610 | − | 13.1610i | 0.633944 | − | 0.633944i | −0.315111 | − | 0.949055i | \(-0.602042\pi\) |
0.949055 | + | 0.315111i | \(0.102042\pi\) | |||||||
\(432\) | 10.0315 | + | 18.2036i | 0.482640 | + | 0.875819i | ||||
\(433\) | 18.5364 | + | 18.5364i | 0.890803 | + | 0.890803i | 0.994599 | − | 0.103795i | \(-0.0330987\pi\) |
−0.103795 | + | 0.994599i | \(0.533099\pi\) | |||||||
\(434\) | 3.39805 | − | 1.58969i | 0.163112 | − | 0.0763074i | ||||
\(435\) | 0.129472 | − | 0.835465i | 0.00620771 | − | 0.0400575i | ||||
\(436\) | 17.2878 | + | 9.42851i | 0.827934 | + | 0.451544i | ||||
\(437\) | 0.486945 | − | 2.44804i | 0.0232937 | − | 0.117105i | ||||
\(438\) | 25.5111 | − | 7.44172i | 1.21897 | − | 0.355579i | ||||
\(439\) | 8.76979 | + | 21.1722i | 0.418559 | + | 1.01049i | 0.982765 | + | 0.184858i | \(0.0591824\pi\) |
−0.564206 | + | 0.825634i | \(0.690818\pi\) | |||||||
\(440\) | −0.451304 | − | 0.119123i | −0.0215151 | − | 0.00567896i | ||||
\(441\) | 18.4642 | − | 9.56351i | 0.879246 | − | 0.455405i | ||||
\(442\) | 1.56207 | − | 2.58145i | 0.0743000 | − | 0.122787i | ||||
\(443\) | −5.76224 | + | 3.85021i | −0.273773 | + | 0.182929i | −0.684876 | − | 0.728660i | \(-0.740144\pi\) |
0.411103 | + | 0.911589i | \(0.365144\pi\) | |||||||
\(444\) | −4.09006 | + | 15.3538i | −0.194106 | + | 0.728659i | ||||
\(445\) | −0.215132 | − | 1.08154i | −0.0101982 | − | 0.0512700i | ||||
\(446\) | −13.1646 | − | 12.0331i | −0.623363 | − | 0.569781i | ||||
\(447\) | 9.63767 | − | 4.48203i | 0.455846 | − | 0.211993i | ||||
\(448\) | 2.08096 | + | 0.258176i | 0.0983163 | + | 0.0121977i | ||||
\(449\) | 6.65138i | 0.313898i | 0.987607 | + | 0.156949i | \(0.0501659\pi\) | ||||
−0.987607 | + | 0.156949i | \(0.949834\pi\) | |||||||
\(450\) | −2.74859 | − | 21.0103i | −0.129570 | − | 0.990434i | ||||
\(451\) | −11.1482 | + | 2.21752i | −0.524950 | + | 0.104419i | ||||
\(452\) | 16.4331 | + | 13.7195i | 0.772947 | + | 0.645309i | ||||
\(453\) | 7.64582 | − | 12.5707i | 0.359232 | − | 0.590622i | ||||
\(454\) | 16.7838 | + | 10.1561i | 0.787701 | + | 0.476649i | ||||
\(455\) | 0.0164384 | + | 0.00680899i | 0.000770642 | + | 0.000319210i | ||||
\(456\) | 3.58699 | − | 5.15233i | 0.167976 | − | 0.241280i | ||||
\(457\) | −15.3039 | + | 6.33908i | −0.715886 | + | 0.296530i | −0.710738 | − | 0.703457i | \(-0.751639\pi\) |
−0.00514839 | + | 0.999987i | \(0.501639\pi\) | |||||||
\(458\) | 0.0351182 | − | 0.230070i | 0.00164097 | − | 0.0107505i | ||||
\(459\) | −5.45661 | + | 10.9792i | −0.254693 | + | 0.512465i | ||||
\(460\) | 0.256738 | + | 0.140021i | 0.0119705 | + | 0.00652852i | ||||
\(461\) | −14.2247 | + | 21.2887i | −0.662509 | + | 0.991515i | 0.336253 | + | 0.941772i | \(0.390840\pi\) |
−0.998762 | + | 0.0497436i | \(0.984160\pi\) | |||||||
\(462\) | 0.906981 | − | 1.08137i | 0.0421966 | − | 0.0503097i | ||||
\(463\) | 9.91878 | − | 9.91878i | 0.460965 | − | 0.460965i | −0.438007 | − | 0.898972i | \(-0.644315\pi\) |
0.898972 | + | 0.438007i | \(0.144315\pi\) | |||||||
\(464\) | −9.54679 | − | 24.1924i | −0.443198 | − | 1.12310i | ||||
\(465\) | 1.23611 | + | 0.451352i | 0.0573233 | + | 0.0209309i | ||||
\(466\) | −21.6342 | − | 7.84372i | −1.00218 | − | 0.363353i | ||||
\(467\) | −2.12128 | + | 3.17472i | −0.0981612 | + | 0.146909i | −0.877299 | − | 0.479944i | \(-0.840657\pi\) |
0.779138 | + | 0.626852i | \(0.215657\pi\) | |||||||
\(468\) | 3.75338 | + | 3.91748i | 0.173500 | + | 0.181085i | ||||
\(469\) | −0.0936346 | + | 0.470733i | −0.00432365 | + | 0.0217364i | ||||
\(470\) | −0.715439 | − | 0.973194i | −0.0330007 | − | 0.0448901i | ||||
\(471\) | −14.9884 | + | 16.3232i | −0.690629 | + | 0.752131i | ||||
\(472\) | −0.810119 | + | 13.1096i | −0.0372887 | + | 0.603418i | ||||
\(473\) | 19.4213 | + | 8.04455i | 0.892991 | + | 0.369889i | ||||
\(474\) | −16.0366 | + | 12.8764i | −0.736585 | + | 0.591431i | ||||
\(475\) | −5.32158 | + | 3.55577i | −0.244171 | + | 0.163150i | ||||
\(476\) | 0.573877 | + | 1.09574i | 0.0263036 | + | 0.0502233i | ||||
\(477\) | 17.4287 | + | 9.60853i | 0.798007 | + | 0.439944i | ||||
\(478\) | 19.8040 | − | 0.889350i | 0.905815 | − | 0.0406779i | ||||
\(479\) | − | 4.64745i | − | 0.212347i | −0.994348 | − | 0.106174i | \(-0.966140\pi\) | ||
0.994348 | − | 0.106174i | \(-0.0338599\pi\) | |||||||
\(480\) | 0.450795 | + | 0.581217i | 0.0205759 | + | 0.0265288i | ||||
\(481\) | 4.14753i | 0.189111i | ||||||||
\(482\) | 0.586806 | + | 13.0670i | 0.0267283 | + | 0.595185i | ||||
\(483\) | −0.713648 | + | 0.522138i | −0.0324721 | + | 0.0237581i | ||||
\(484\) | 3.68008 | − | 11.7738i | 0.167276 | − | 0.535172i | ||||
\(485\) | 0.811728 | − | 0.542380i | 0.0368587 | − | 0.0246282i | ||||
\(486\) | −16.5177 | − | 14.6002i | −0.749256 | − | 0.662280i | ||||
\(487\) | 18.0003 | + | 7.45596i | 0.815670 | + | 0.337862i | 0.751214 | − | 0.660059i | \(-0.229469\pi\) |
0.0644565 | + | 0.997921i | \(0.479469\pi\) | |||||||
\(488\) | 11.1180 | + | 5.43131i | 0.503289 | + | 0.245864i | ||||
\(489\) | 9.22358 | + | 8.46936i | 0.417105 | + | 0.382998i | ||||
\(490\) | 0.592901 | − | 0.435868i | 0.0267845 | − | 0.0196905i | ||||
\(491\) | −2.10722 | + | 10.5937i | −0.0950974 | + | 0.478087i | 0.903660 | + | 0.428251i | \(0.140870\pi\) |
−0.998757 | + | 0.0498362i | \(0.984130\pi\) | |||||||
\(492\) | 16.0765 | + | 7.89893i | 0.724783 | + | 0.356111i | ||||
\(493\) | 8.52329 | − | 12.7560i | 0.383870 | − | 0.574502i | ||||
\(494\) | 0.558561 | − | 1.54059i | 0.0251308 | − | 0.0693146i | ||||
\(495\) | 0.493278 | − | 0.0421318i | 0.0221712 | − | 0.00189368i | ||||
\(496\) | 39.8313 | − | 7.22791i | 1.78848 | − | 0.324543i | ||||
\(497\) | −1.04668 | + | 1.04668i | −0.0469500 | + | 0.0469500i | ||||
\(498\) | −19.2436 | + | 22.9435i | −0.862324 | + | 1.02812i | ||||
\(499\) | 19.8260 | − | 29.6718i | 0.887535 | − | 1.32829i | −0.0564854 | − | 0.998403i | \(-0.517989\pi\) |
0.944021 | − | 0.329887i | \(-0.107011\pi\) | |||||||
\(500\) | −0.423490 | − | 1.43958i | −0.0189390 | − | 0.0643802i | ||||
\(501\) | −5.42546 | − | 22.2714i | −0.242391 | − | 0.995013i | ||||
\(502\) | 31.7050 | + | 4.83950i | 1.41506 | + | 0.215997i | ||||
\(503\) | 0.0322396 | − | 0.0133541i | 0.00143749 | − | 0.000595428i | −0.381965 | − | 0.924177i | \(-0.624752\pi\) |
0.383402 | + | 0.923582i | \(0.374752\pi\) | |||||||
\(504\) | −2.17059 | + | 0.485015i | −0.0966858 | + | 0.0216043i | ||||
\(505\) | 0.807826 | + | 0.334612i | 0.0359478 | + | 0.0148901i | ||||
\(506\) | 3.13476 | − | 5.18045i | 0.139357 | − | 0.230299i | ||||
\(507\) | −18.0278 | − | 10.9650i | −0.800641 | − | 0.486971i | ||||
\(508\) | 0.823162 | − | 0.0740817i | 0.0365219 | − | 0.00328684i | ||||
\(509\) | 3.75595 | − | 0.747106i | 0.166480 | − | 0.0331149i | −0.111147 | − | 0.993804i | \(-0.535452\pi\) |
0.277626 | + | 0.960689i | \(0.410452\pi\) | |||||||
\(510\) | −0.130383 | + | 0.413829i | −0.00577345 | + | 0.0183247i | ||||
\(511\) | 2.84367i | 0.125796i | ||||||||
\(512\) | 21.0007 | + | 8.42452i | 0.928107 | + | 0.372315i | ||||
\(513\) | −1.74330 | + | 6.42655i | −0.0769688 | + | 0.283739i | ||||
\(514\) | −0.236555 | + | 0.258800i | −0.0104340 | + | 0.0114152i | ||||
\(515\) | −0.196608 | − | 0.988414i | −0.00866357 | − | 0.0435547i | ||||
\(516\) | −16.6052 | − | 28.6644i | −0.731002 | − | 1.26188i | ||||
\(517\) | −20.7947 | + | 13.8946i | −0.914549 | + | 0.611082i | ||||
\(518\) | −1.45468 | − | 0.880248i | −0.0639150 | − | 0.0386759i | ||||
\(519\) | −41.7676 | + | 1.78048i | −1.83339 | + | 0.0781545i | ||||
\(520\) | 0.152757 | + | 0.116312i | 0.00669885 | + | 0.00510060i | ||||
\(521\) | −5.37144 | − | 12.9678i | −0.235327 | − | 0.568130i | 0.761461 | − | 0.648210i | \(-0.224482\pi\) |
−0.996788 | + | 0.0800804i | \(0.974482\pi\) | |||||||
\(522\) | 18.1715 | + | 20.7548i | 0.795345 | + | 0.908413i | ||||
\(523\) | −2.63083 | + | 13.2261i | −0.115038 | + | 0.578337i | 0.879669 | + | 0.475587i | \(0.157764\pi\) |
−0.994707 | + | 0.102750i | \(0.967236\pi\) | |||||||
\(524\) | −10.3127 | + | 3.03373i | −0.450511 | + | 0.132529i | ||||
\(525\) | 2.24068 | + | 0.347238i | 0.0977911 | + | 0.0151547i | ||||
\(526\) | −16.0776 | − | 34.3669i | −0.701018 | − | 1.49847i | ||||
\(527\) | 16.8852 | + | 16.8852i | 0.735533 | + | 0.735533i | ||||
\(528\) | 12.4410 | − | 8.78463i | 0.541424 | − | 0.382302i | ||||
\(529\) | 13.5809 | − | 13.5809i | 0.590475 | − | 0.590475i | ||||
\(530\) | 0.662132 | + | 0.240064i | 0.0287612 | + | 0.0104277i | ||||
\(531\) | −3.87082 | − | 13.3828i | −0.167979 | − | 0.580764i | ||||
\(532\) | 0.421794 | + | 0.522873i | 0.0182871 | + | 0.0226694i | ||||
\(533\) | 4.58573 | + | 0.912158i | 0.198630 | + | 0.0395100i | ||||
\(534\) | 31.5490 | + | 17.2996i | 1.36526 | + | 0.748627i | ||||
\(535\) | 0.987343 | − | 0.408971i | 0.0426866 | − | 0.0176814i | ||||
\(536\) | −2.27330 | + | 4.65351i | −0.0981918 | + | 0.201001i | ||||
\(537\) | −21.2289 | + | 0.904954i | −0.916096 | + | 0.0390516i | ||||
\(538\) | 19.5076 | − | 4.79920i | 0.841031 | − | 0.206908i | ||||
\(539\) | −8.46501 | − | 12.6688i | −0.364614 | − | 0.545683i | ||||
\(540\) | −0.657731 | − | 0.419580i | −0.0283043 | − | 0.0180558i | ||||
\(541\) | 26.2221 | − | 5.21590i | 1.12738 | − | 0.224249i | 0.404037 | − | 0.914743i | \(-0.367607\pi\) |
0.723339 | + | 0.690494i | \(0.242607\pi\) | |||||||
\(542\) | −15.8118 | + | 0.710069i | −0.679175 | + | 0.0305001i | ||||
\(543\) | 16.5631 | − | 7.70274i | 0.710792 | − | 0.330556i | ||||
\(544\) | 2.96992 | + | 13.0128i | 0.127334 | + | 0.557920i | ||||
\(545\) | −0.739143 | −0.0316614 | ||||||||
\(546\) | −0.514902 | + | 0.268181i | −0.0220358 | + | 0.0114771i | ||||
\(547\) | −6.71870 | − | 33.7772i | −0.287271 | − | 1.44421i | −0.807341 | − | 0.590085i | \(-0.799094\pi\) |
0.520070 | − | 0.854124i | \(-0.325906\pi\) | |||||||
\(548\) | 26.8360 | − | 14.0549i | 1.14638 | − | 0.600396i | ||||
\(549\) | −13.0434 | − | 1.45570i | −0.556677 | − | 0.0621276i | ||||
\(550\) | −15.0768 | + | 3.70916i | −0.642877 | + | 0.158159i | ||||
\(551\) | 3.18860 | − | 7.69796i | 0.135839 | − | 0.327944i | ||||
\(552\) | −8.88376 | + | 3.48237i | −0.378118 | + | 0.148219i | ||||
\(553\) | −0.842194 | − | 2.03324i | −0.0358137 | − | 0.0864620i | ||||
\(554\) | −28.0875 | + | 20.6484i | −1.19333 | + | 0.877267i | ||||
\(555\) | −0.141162 | − | 0.579468i | −0.00599199 | − | 0.0245970i | ||||
\(556\) | 17.5230 | + | 1.87496i | 0.743139 | + | 0.0795161i | ||||
\(557\) | 11.7060 | + | 7.82170i | 0.495999 | + | 0.331416i | 0.778282 | − | 0.627915i | \(-0.216092\pi\) |
−0.282282 | + | 0.959331i | \(0.591092\pi\) | |||||||
\(558\) | −37.2025 | + | 21.4383i | −1.57491 | + | 0.907557i | ||||
\(559\) | −6.11434 | − | 6.11434i | −0.258609 | − | 0.258609i | ||||
\(560\) | −0.0732148 | + | 0.0288920i | −0.00309389 | + | 0.00122091i | ||||
\(561\) | 8.43878 | + | 3.08132i | 0.356286 | + | 0.130093i | ||||
\(562\) | 13.8489 | + | 29.6028i | 0.584179 | + | 1.24872i | ||||
\(563\) | −1.45663 | − | 0.973290i | −0.0613897 | − | 0.0410193i | 0.524497 | − | 0.851412i | \(-0.324254\pi\) |
−0.585886 | + | 0.810393i | \(0.699254\pi\) | |||||||
\(564\) | 39.3308 | + | 2.52031i | 1.65612 | + | 0.106124i | ||||
\(565\) | −0.788096 | − | 0.156762i | −0.0331554 | − | 0.00659503i | ||||
\(566\) | −3.58572 | − | 0.547330i | −0.150719 | − | 0.0230060i | ||||
\(567\) | 1.99480 | − | 1.25929i | 0.0837736 | − | 0.0528854i | ||||
\(568\) | −13.8030 | + | 8.03800i | −0.579161 | + | 0.337267i | ||||
\(569\) | 3.39021 | − | 8.18469i | 0.142125 | − | 0.343120i | −0.836748 | − | 0.547588i | \(-0.815546\pi\) |
0.978873 | + | 0.204468i | \(0.0655463\pi\) | |||||||
\(570\) | −0.0256043 | + | 0.234253i | −0.00107245 | + | 0.00981179i | ||||
\(571\) | 18.1245 | + | 27.1252i | 0.758486 | + | 1.13515i | 0.986859 | + | 0.161581i | \(0.0516593\pi\) |
−0.228373 | + | 0.973574i | \(0.573341\pi\) | |||||||
\(572\) | 2.54775 | − | 3.05168i | 0.106527 | − | 0.127597i | ||||
\(573\) | −38.5705 | + | 28.2200i | −1.61131 | + | 1.17891i | ||||
\(574\) | −1.29317 | + | 1.41478i | −0.0539761 | + | 0.0590519i | ||||
\(575\) | 9.72770 | 0.405673 | ||||||||
\(576\) | −23.9825 | − | 0.917290i | −0.999269 | − | 0.0382204i | ||||
\(577\) | 18.8087 | 0.783017 | 0.391509 | − | 0.920174i | \(-0.371953\pi\) | ||||
0.391509 | + | 0.920174i | \(0.371953\pi\) | |||||||
\(578\) | 10.9083 | − | 11.9341i | 0.453725 | − | 0.496393i | ||||
\(579\) | −7.04250 | + | 5.15262i | −0.292676 | + | 0.214136i | ||||
\(580\) | 0.749392 | + | 0.625644i | 0.0311168 | + | 0.0259784i | ||||
\(581\) | −1.78026 | − | 2.66435i | −0.0738576 | − | 0.110536i | ||||
\(582\) | −3.46110 | + | 31.6655i | −0.143467 | + | 1.31258i | ||||
\(583\) | 5.58067 | − | 13.4729i | 0.231128 | − | 0.557992i | ||||
\(584\) | −7.83129 | + | 29.6693i | −0.324061 | + | 1.22772i | ||||
\(585\) | −0.194093 | − | 0.0616373i | −0.00802474 | − | 0.00254839i | ||||
\(586\) | −26.3751 | − | 4.02593i | −1.08954 | − | 0.166309i | ||||
\(587\) | −34.1088 | − | 6.78466i | −1.40782 | − | 0.280033i | −0.568059 | − | 0.822988i | \(-0.692306\pi\) |
−0.839762 | + | 0.542955i | \(0.817306\pi\) | |||||||
\(588\) | −1.53545 | + | 23.9616i | −0.0633209 | + | 0.988158i | ||||
\(589\) | 10.7835 | + | 7.20532i | 0.444327 | + | 0.296890i | ||||
\(590\) | −0.208914 | − | 0.446565i | −0.00860084 | − | 0.0183848i | ||||
\(591\) | −22.2388 | − | 8.12023i | −0.914782 | − | 0.334022i | ||||
\(592\) | −12.7532 | − | 13.1901i | −0.524154 | − | 0.542111i | ||||
\(593\) | 1.14918 | + | 1.14918i | 0.0471910 | + | 0.0471910i | 0.730308 | − | 0.683118i | \(-0.239376\pi\) |
−0.683118 | + | 0.730308i | \(0.739376\pi\) | |||||||
\(594\) | −9.28980 | + | 13.2152i | −0.381165 | + | 0.542225i | ||||
\(595\) | −0.0386042 | − | 0.0257945i | −0.00158262 | − | 0.00105747i | ||||
\(596\) | −1.30578 | + | 12.2035i | −0.0534869 | + | 0.499876i | ||||
\(597\) | −4.88975 | − | 20.0724i | −0.200124 | − | 0.821507i | ||||
\(598\) | −2.00678 | + | 1.47527i | −0.0820633 | + | 0.0603284i | ||||
\(599\) | −1.00985 | − | 2.43798i | −0.0412612 | − | 0.0996132i | 0.901905 | − | 0.431934i | \(-0.142169\pi\) |
−0.943167 | + | 0.332320i | \(0.892169\pi\) | |||||||
\(600\) | 22.4217 | + | 9.79358i | 0.915363 | + | 0.399821i | ||||
\(601\) | −1.00588 | + | 2.42841i | −0.0410307 | + | 0.0990568i | −0.943066 | − | 0.332605i | \(-0.892073\pi\) |
0.902036 | + | 0.431662i | \(0.142073\pi\) | |||||||
\(602\) | 3.44218 | − | 0.846838i | 0.140293 | − | 0.0345145i | ||||
\(603\) | 0.609290 | − | 5.45937i | 0.0248122 | − | 0.222323i | ||||
\(604\) | 7.88232 | + | 15.0502i | 0.320727 | + | 0.612386i | ||||
\(605\) | 0.0903312 | + | 0.454126i | 0.00367249 | + | 0.0184628i | ||||
\(606\) | −25.3037 | + | 13.1791i | −1.02789 | + | 0.535366i | ||||
\(607\) | 42.0620 | 1.70725 | 0.853623 | − | 0.520892i | \(-0.174400\pi\) | ||||
0.853623 | + | 0.520892i | \(0.174400\pi\) | |||||||
\(608\) | 2.96081 | + | 6.61697i | 0.120077 | + | 0.268354i | ||||
\(609\) | −2.67659 | + | 1.24476i | −0.108461 | + | 0.0504402i | ||||
\(610\) | −0.463990 | + | 0.0208366i | −0.0187864 | + | 0.000843651i | ||||
\(611\) | 10.0898 | − | 2.00699i | 0.408190 | − | 0.0811940i | ||||
\(612\) | −7.61169 | − | 11.9367i | −0.307684 | − | 0.482513i | ||||
\(613\) | −16.8711 | − | 25.2494i | −0.681417 | − | 1.01981i | −0.997471 | − | 0.0710711i | \(-0.977358\pi\) |
0.316055 | − | 0.948741i | \(-0.397642\pi\) | |||||||
\(614\) | 18.1677 | − | 4.46958i | 0.733189 | − | 0.180377i | ||||
\(615\) | −0.671736 | + | 0.0286350i | −0.0270870 | + | 0.00115467i | ||||
\(616\) | 0.529610 | + | 1.54126i | 0.0213386 | + | 0.0620990i | ||||
\(617\) | −15.9796 | + | 6.61898i | −0.643316 | + | 0.266470i | −0.680399 | − | 0.732842i | \(-0.738193\pi\) |
0.0370828 | + | 0.999312i | \(0.488193\pi\) | |||||||
\(618\) | 28.8324 | + | 15.8100i | 1.15981 | + | 0.635971i | ||||
\(619\) | 34.6693 | + | 6.89615i | 1.39348 | + | 0.277180i | 0.834045 | − | 0.551696i | \(-0.186019\pi\) |
0.559432 | + | 0.828876i | \(0.311019\pi\) | |||||||
\(620\) | −1.18268 | + | 0.954045i | −0.0474974 | + | 0.0383154i | ||||
\(621\) | 7.62976 | − | 6.64950i | 0.306172 | − | 0.266835i | ||||
\(622\) | 6.25983 | + | 2.26958i | 0.250996 | + | 0.0910017i | ||||
\(623\) | −2.72252 | + | 2.72252i | −0.109075 | + | 0.109075i | ||||
\(624\) | −6.11076 | + | 1.38004i | −0.244626 | + | 0.0552460i | ||||
\(625\) | −17.6179 | − | 17.6179i | −0.704717 | − | 0.704717i | ||||
\(626\) | −5.73146 | − | 12.2513i | −0.229075 | − | 0.489662i | ||||
\(627\) | 4.82165 | + | 0.747211i | 0.192558 | + | 0.0298407i | ||||
\(628\) | −7.22165 | − | 24.5488i | −0.288175 | − | 0.979604i | ||||
\(629\) | 2.11140 | − | 10.6147i | 0.0841870 | − | 0.423237i | ||||
\(630\) | 0.0628114 | − | 0.0549934i | 0.00250247 | − | 0.00219099i | ||||
\(631\) | 1.74700 | + | 4.21763i | 0.0695470 | + | 0.167901i | 0.954831 | − | 0.297150i | \(-0.0960360\pi\) |
−0.885284 | + | 0.465051i | \(0.846036\pi\) | |||||||
\(632\) | −3.18759 | − | 23.5330i | −0.126795 | − | 0.936094i | ||||
\(633\) | 5.75820 | − | 0.245462i | 0.228868 | − | 0.00975626i | ||||
\(634\) | 2.27834 | + | 1.37866i | 0.0904845 | + | 0.0547534i | ||||
\(635\) | −0.0257945 | + | 0.0172354i | −0.00102363 | + | 0.000683964i | ||||
\(636\) | −19.8851 | + | 11.5193i | −0.788496 | + | 0.456772i | ||||
\(637\) | 1.22272 | + | 6.14703i | 0.0484459 | + | 0.243554i | ||||
\(638\) | 13.6373 | − | 14.9197i | 0.539906 | − | 0.590678i | ||||
\(639\) | 10.9167 | − | 12.9557i | 0.431858 | − | 0.512518i | ||||
\(640\) | −0.843451 | + | 0.0998140i | −0.0333403 | + | 0.00394549i | ||||
\(641\) | − | 31.5734i | − | 1.24708i | −0.781793 | − | 0.623538i | \(-0.785695\pi\) | ||
0.781793 | − | 0.623538i | \(-0.214305\pi\) | |||||||
\(642\) | −10.4786 | + | 33.2585i | −0.413555 | + | 1.31261i | ||||
\(643\) | 24.3933 | − | 4.85212i | 0.961976 | − | 0.191349i | 0.310969 | − | 0.950420i | \(-0.399347\pi\) |
0.651008 | + | 0.759071i | \(0.274347\pi\) | |||||||
\(644\) | −0.0915220 | − | 1.01695i | −0.00360647 | − | 0.0400734i | ||||
\(645\) | 1.06236 | + | 0.646157i | 0.0418305 | + | 0.0254424i | ||||
\(646\) | −2.21380 | + | 3.65848i | −0.0871006 | + | 0.143941i | ||||
\(647\) | 17.3176 | + | 7.17319i | 0.680826 | + | 0.282007i | 0.696172 | − | 0.717875i | \(-0.254885\pi\) |
−0.0153463 | + | 0.999882i | \(0.504885\pi\) | |||||||
\(648\) | 24.2807 | − | 7.64524i | 0.953834 | − | 0.300333i | ||||
\(649\) | −9.43108 | + | 3.90648i | −0.370202 | + | 0.153343i | ||||
\(650\) | 6.31351 | + | 0.963702i | 0.247636 | + | 0.0377995i | ||||
\(651\) | −1.08748 | − | 4.46410i | −0.0426218 | − | 0.174962i | ||||
\(652\) | −13.8716 | + | 4.08067i | −0.543253 | + | 0.159812i | ||||
\(653\) | −18.8122 | + | 28.1544i | −0.736178 | + | 1.10177i | 0.254702 | + | 0.967020i | \(0.418023\pi\) |
−0.990880 | + | 0.134748i | \(0.956977\pi\) | |||||||
\(654\) | 15.4984 | − | 18.4783i | 0.606035 | − | 0.722557i | ||||
\(655\) | 0.285314 | − | 0.285314i | 0.0111482 | − | 0.0111482i | ||||
\(656\) | −17.3885 | + | 11.1998i | −0.678907 | + | 0.437277i | ||||
\(657\) | −2.76980 | − | 32.4288i | −0.108060 | − | 1.26517i | ||||
\(658\) | −1.43748 | + | 3.96479i | −0.0560389 | + | 0.154564i | ||||
\(659\) | −2.59960 | + | 3.89057i | −0.101266 | + | 0.151555i | −0.878642 | − | 0.477481i | \(-0.841550\pi\) |
0.777376 | + | 0.629036i | \(0.216550\pi\) | |||||||
\(660\) | −0.252092 | + | 0.513076i | −0.00981268 | + | 0.0199715i | ||||
\(661\) | −5.49642 | + | 27.6324i | −0.213786 | + | 1.07477i | 0.713567 | + | 0.700587i | \(0.247078\pi\) |
−0.927353 | + | 0.374187i | \(0.877922\pi\) | |||||||
\(662\) | −32.0381 | + | 23.5527i | −1.24520 | + | 0.915401i | ||||
\(663\) | −2.72195 | − | 2.49937i | −0.105712 | − | 0.0970676i | ||||
\(664\) | −11.2368 | − | 32.7011i | −0.436073 | − | 1.26905i | ||||
\(665\) | −0.0232968 | − | 0.00964984i | −0.000903410 | − | 0.000374205i | ||||
\(666\) | 17.4463 | + | 8.62132i | 0.676032 | + | 0.334069i | ||||
\(667\) | −10.5299 | + | 7.03582i | −0.407718 | + | 0.272428i | ||||
\(668\) | 25.2636 | + | 7.89651i | 0.977476 | + | 0.305525i | ||||
\(669\) | −17.6291 | + | 12.8983i | −0.681581 | + | 0.498677i | ||||
\(670\) | −0.00872129 | − | 0.194205i | −0.000336933 | − | 0.00750281i | ||||
\(671\) | 9.61679i | 0.371252i | ||||||||
\(672\) | 0.812885 | − | 2.43615i | 0.0313577 | − | 0.0939765i | ||||
\(673\) | − | 11.0254i | − | 0.424996i | −0.977161 | − | 0.212498i | \(-0.931840\pi\) | ||
0.977161 | − | 0.212498i | \(-0.0681599\pi\) | |||||||
\(674\) | −29.7433 | + | 1.33570i | −1.14567 | + | 0.0514492i | ||||
\(675\) | −25.8905 | − | 1.77737i | −0.996527 | − | 0.0684111i | ||||
\(676\) | 21.5837 | − | 11.3041i | 0.830144 | − | 0.434774i | ||||
\(677\) | 10.9422 | − | 7.31133i | 0.420542 | − | 0.280997i | −0.327240 | − | 0.944941i | \(-0.606119\pi\) |
0.747782 | + | 0.663944i | \(0.231119\pi\) | |||||||
\(678\) | 20.4438 | − | 16.4151i | 0.785140 | − | 0.630417i | ||||
\(679\) | −3.14917 | − | 1.30443i | −0.120854 | − | 0.0500594i | ||||
\(680\) | −0.331739 | − | 0.375440i | −0.0127216 | − | 0.0143975i | ||||
\(681\) | 16.2501 | − | 17.6973i | 0.622707 | − | 0.678161i | ||||
\(682\) | 18.6355 | + | 25.3494i | 0.713589 | + | 0.970677i | ||||
\(683\) | 6.11205 | − | 30.7273i | 0.233871 | − | 1.17575i | −0.668140 | − | 0.744036i | \(-0.732909\pi\) |
0.902011 | − | 0.431713i | \(-0.142091\pi\) | |||||||
\(684\) | −5.31936 | − | 5.55193i | −0.203391 | − | 0.212283i | ||||
\(685\) | −0.631737 | + | 0.945461i | −0.0241374 | + | 0.0361242i | ||||
\(686\) | −4.85490 | − | 1.76020i | −0.185361 | − | 0.0672048i | ||||
\(687\) | −0.267750 | − | 0.0977658i | −0.0102153 | − | 0.00373000i | ||||
\(688\) | 38.2460 | + | 0.644123i | 1.45812 | + | 0.0245570i | ||||
\(689\) | −4.24165 | + | 4.24165i | −0.161594 | + | 0.161594i | ||||
\(690\) | 0.230164 | − | 0.274418i | 0.00876219 | − | 0.0104469i | ||||
\(691\) | 3.78957 | − | 5.67149i | 0.144162 | − | 0.215754i | −0.752361 | − | 0.658751i | \(-0.771085\pi\) |
0.896523 | + | 0.442998i | \(0.146085\pi\) | |||||||
\(692\) | 23.1133 | − | 42.3798i | 0.878637 | − | 1.61104i | ||||
\(693\) | −1.07917 | − | 1.35031i | −0.0409943 | − | 0.0512941i | ||||
\(694\) | −4.11311 | + | 26.9462i | −0.156131 | + | 1.02286i | ||||
\(695\) | −0.611138 | + | 0.253142i | −0.0231818 | + | 0.00960222i | ||||
\(696\) | −31.3541 | + | 5.61597i | −1.18848 | + | 0.212873i | ||||
\(697\) | −11.2719 | − | 4.66896i | −0.426952 | − | 0.176849i | ||||
\(698\) | 22.3269 | + | 13.5103i | 0.845087 | + | 0.511374i | ||||
\(699\) | −14.6460 | + | 24.0798i | −0.553961 | + | 0.910782i | ||||
\(700\) | −1.67795 | + | 2.00983i | −0.0634204 | + | 0.0759646i | ||||
\(701\) | 45.6378 | − | 9.07793i | 1.72372 | − | 0.342869i | 0.768743 | − | 0.639558i | \(-0.220882\pi\) |
0.954974 | + | 0.296689i | \(0.0958824\pi\) | |||||||
\(702\) | 5.61065 | − | 3.55982i | 0.211760 | − | 0.134357i | ||||
\(703\) | − | 5.87796i | − | 0.221692i | ||||||
\(704\) | 1.28114 | + | 17.5392i | 0.0482846 | + | 0.661032i | ||||
\(705\) | −1.34138 | + | 0.623813i | −0.0505192 | + | 0.0234941i | ||||
\(706\) | −10.6392 | − | 9.72466i | −0.400410 | − | 0.365992i | ||||
\(707\) | −0.595600 | − | 2.99429i | −0.0223999 | − | 0.112612i | ||||
\(708\) | 15.5445 | + | 4.14085i | 0.584196 | + | 0.155623i | ||||
\(709\) | −32.9914 | + | 22.0441i | −1.23902 | + | 0.827885i | −0.990062 | − | 0.140630i | \(-0.955087\pi\) |
−0.248955 | + | 0.968515i | \(0.580087\pi\) | |||||||
\(710\) | 0.310394 | − | 0.512951i | 0.0116489 | − | 0.0192507i | ||||
\(711\) | 11.5847 | + | 22.3664i | 0.434459 | + | 0.838805i | ||||
\(712\) | −35.9030 | + | 20.9077i | −1.34552 | + | 0.783547i | ||||
\(713\) | −7.54344 | − | 18.2115i | −0.282504 | − | 0.682025i | ||||
\(714\) | 1.45431 | − | 0.424229i | 0.0544261 | − | 0.0158764i | ||||
\(715\) | −0.0291113 | + | 0.146352i | −0.00108870 | + | 0.00547327i | ||||
\(716\) | 11.7477 | − | 21.5401i | 0.439030 | − | 0.804990i | ||||
\(717\) | 3.71819 | − | 23.9929i | 0.138858 | − | 0.896033i | ||||
\(718\) | −20.4858 | + | 9.58372i | −0.764522 | + | 0.357661i | ||||
\(719\) | 27.3837 | + | 27.3837i | 1.02124 | + | 1.02124i | 0.999770 | + | 0.0214686i | \(0.00683420\pi\) |
0.0214686 | + | 0.999770i | \(0.493166\pi\) | |||||||
\(720\) | 0.806789 | − | 0.400793i | 0.0300673 | − | 0.0149367i | ||||
\(721\) | −2.48809 | + | 2.48809i | −0.0926614 | + | 0.0926614i | ||||
\(722\) | 8.36708 | − | 23.0776i | 0.311390 | − | 0.858861i | ||||
\(723\) | 15.8309 | + | 2.45331i | 0.588757 | + | 0.0912397i | ||||
\(724\) | −2.24409 | + | 20.9728i | −0.0834011 | + | 0.779447i | ||||
\(725\) | 31.8493 | + | 6.33523i | 1.18285 | + | 0.235284i | ||||
\(726\) | −13.2470 | − | 7.26389i | −0.491643 | − | 0.269588i | ||||
\(727\) | 0.372141 | − | 0.154146i | 0.0138019 | − | 0.00571695i | −0.375772 | − | 0.926712i | \(-0.622622\pi\) |
0.389574 | + | 0.920995i | \(0.372622\pi\) | |||||||
\(728\) | 0.0413471 | − | 0.669092i | 0.00153243 | − | 0.0247982i | ||||
\(729\) | −21.5218 | + | 16.3038i | −0.797103 | + | 0.603843i | ||||
\(730\) | −0.275158 | − | 1.11845i | −0.0101841 | − | 0.0413957i | ||||
\(731\) | 12.5357 | + | 18.7610i | 0.463650 | + | 0.693902i | ||||
\(732\) | 9.20805 | − | 12.0364i | 0.340339 | − | 0.444880i | ||||
\(733\) | −20.6905 | + | 4.11560i | −0.764223 | + | 0.152013i | −0.561787 | − | 0.827282i | \(-0.689886\pi\) |
−0.202436 | + | 0.979295i | \(0.564886\pi\) | |||||||
\(734\) | −0.893206 | − | 19.8899i | −0.0329688 | − | 0.734149i | ||||
\(735\) | −0.380047 | − | 0.817211i | −0.0140182 | − | 0.0301433i | ||||
\(736\) | 1.84573 | − | 10.8624i | 0.0680344 | − | 0.400392i | ||||
\(737\) | −4.02516 | −0.148269 | ||||||||
\(738\) | 13.3691 | − | 17.3935i | 0.492125 | − | 0.640265i | ||||
\(739\) | −1.24476 | − | 6.25783i | −0.0457892 | − | 0.230198i | 0.951114 | − | 0.308841i | \(-0.0999412\pi\) |
−0.996903 | + | 0.0786433i | \(0.974941\pi\) | |||||||
\(740\) | 0.657319 | + | 0.205455i | 0.0241635 | + | 0.00755268i | ||||
\(741\) | −1.71475 | − | 1.04296i | −0.0629929 | − | 0.0383139i | ||||
\(742\) | −0.587469 | − | 2.38791i | −0.0215667 | − | 0.0876631i | ||||
\(743\) | −14.4970 | + | 34.9988i | −0.531843 | + | 1.28398i | 0.398459 | + | 0.917186i | \(0.369545\pi\) |
−0.930302 | + | 0.366795i | \(0.880455\pi\) | |||||||
\(744\) | 0.947655 | − | 49.5708i | 0.0347427 | − | 1.81736i | ||||
\(745\) | −0.176296 | − | 0.425615i | −0.00645897 | − | 0.0155933i | ||||
\(746\) | −16.5318 | − | 22.4878i | −0.605272 | − | 0.823337i | ||||
\(747\) | 22.8969 | + | 28.6498i | 0.837755 | + | 1.04824i | ||||
\(748\) | −8.07397 | + | 6.51315i | −0.295214 | + | 0.238144i | ||||
\(749\) | −3.10253 | − | 2.07304i | −0.113364 | − | 0.0757474i | ||||
\(750\) | −1.83080 | + | 0.160568i | −0.0668515 | + | 0.00586312i | ||||
\(751\) | 16.0660 | + | 16.0660i | 0.586258 | + | 0.586258i | 0.936616 | − | 0.350358i | \(-0.113940\pi\) |
−0.350358 | + | 0.936616i | \(0.613940\pi\) | |||||||
\(752\) | −25.9167 | + | 37.4078i | −0.945085 | + | 1.36412i | ||||
\(753\) | 13.4727 | − | 36.8976i | 0.490972 | − | 1.34462i | ||||
\(754\) | −7.53115 | + | 3.52325i | −0.274268 | + | 0.128309i | ||||
\(755\) | −0.530237 | − | 0.354293i | −0.0192973 | − | 0.0128940i | ||||
\(756\) | 0.0577788 | + | 2.72336i | 0.00210140 | + | 0.0990478i | ||||
\(757\) | −46.1515 | − | 9.18010i | −1.67740 | − | 0.333656i | −0.737566 | − | 0.675276i | \(-0.764025\pi\) |
−0.939838 | + | 0.341619i | \(0.889025\pi\) | |||||||
\(758\) | −0.307606 | + | 2.01522i | −0.0111728 | + | 0.0731961i | ||||
\(759\) | −5.46242 | − | 5.01575i | −0.198273 | − | 0.182060i | ||||
\(760\) | −0.216491 | − | 0.164839i | −0.00785295 | − | 0.00597934i | ||||
\(761\) | 13.3019 | − | 32.1135i | 0.482192 | − | 1.16412i | −0.476373 | − | 0.879243i | \(-0.658049\pi\) |
0.958566 | − | 0.284872i | \(-0.0919511\pi\) | |||||||
\(762\) | 0.109984 | − | 1.00624i | 0.00398431 | − | 0.0364524i | ||||
\(763\) | 1.43379 | + | 2.14581i | 0.0519065 | + | 0.0776836i | ||||
\(764\) | −4.94649 | − | 54.9631i | −0.178958 | − | 1.98849i | ||||
\(765\) | 0.465361 | + | 0.256555i | 0.0168252 | + | 0.00927578i | ||||
\(766\) | −22.6587 | − | 20.7110i | −0.818691 | − | 0.748320i | ||||
\(767\) | 4.19903 | 0.151618 | ||||||||
\(768\) | 15.1902 | − | 23.1788i | 0.548129 | − | 0.836394i | ||||
\(769\) | −29.4345 | −1.06144 | −0.530718 | − | 0.847549i | \(-0.678078\pi\) | ||||
−0.530718 | + | 0.847549i | \(0.678078\pi\) | |||||||
\(770\) | −0.0451524 | − | 0.0412713i | −0.00162718 | − | 0.00148732i | ||||
\(771\) | 0.253564 | + | 0.346566i | 0.00913189 | + | 0.0124813i | ||||
\(772\) | −0.903167 | − | 10.0356i | −0.0325057 | − | 0.361188i | ||||
\(773\) | 3.03986 | + | 4.54947i | 0.109336 | + | 0.163633i | 0.882103 | − | 0.471057i | \(-0.156128\pi\) |
−0.772766 | + | 0.634691i | \(0.781128\pi\) | |||||||
\(774\) | −38.4293 | + | 13.0100i | −1.38131 | + | 0.467634i | ||||
\(775\) | −19.3428 | + | 46.6977i | −0.694815 | + | 1.67743i | ||||
\(776\) | −29.2644 | − | 22.2824i | −1.05053 | − | 0.799890i | ||||
\(777\) | −1.40843 | + | 1.53386i | −0.0505272 | + | 0.0550268i | ||||
\(778\) | 6.69582 | − | 43.8664i | 0.240057 | − | 1.57269i | ||||
\(779\) | −6.49899 | − | 1.29273i | −0.232851 | − | 0.0463168i | ||||
\(780\) | 0.176568 | − | 0.155302i | 0.00632214 | − | 0.00556069i | ||||
\(781\) | −10.3219 | − | 6.89685i | −0.369345 | − | 0.246789i | ||||
\(782\) | 5.88695 | − | 2.75405i | 0.210517 | − | 0.0984847i | ||||
\(783\) | 29.3110 | − | 16.8021i | 1.04749 | − | 0.600458i | ||||
\(784\) | −22.7900 | − | 15.7893i | −0.813929 | − | 0.563903i | ||||
\(785\) | 0.679177 | + | 0.679177i | 0.0242409 | + | 0.0242409i | ||||
\(786\) | 1.15025 | + | 13.1152i | 0.0410282 | + | 0.467804i | ||||
\(787\) | −4.45487 | − | 2.97665i | −0.158799 | − | 0.106106i | 0.473632 | − | 0.880723i | \(-0.342943\pi\) |
−0.632431 | + | 0.774617i | \(0.717943\pi\) | |||||||
\(788\) | 21.2774 | − | 17.1642i | 0.757976 | − | 0.611448i | ||||
\(789\) | −45.1485 | + | 10.9985i | −1.60733 | + | 0.391556i | ||||
\(790\) | 0.527985 | + | 0.718205i | 0.0187849 | + | 0.0255526i | ||||
\(791\) | 1.07365 | + | 2.59201i | 0.0381745 | + | 0.0921614i | ||||
\(792\) | −7.54081 | − | 17.0604i | −0.267951 | − | 0.606215i | ||||
\(793\) | 1.51381 | − | 3.65467i | 0.0537571 | − | 0.129781i | ||||
\(794\) | 4.45117 | + | 18.0929i | 0.157966 | + | 0.642092i | ||||
\(795\) | 0.448252 | − | 0.736983i | 0.0158979 | − | 0.0261381i | ||||
\(796\) | 22.7691 | + | 7.11681i | 0.807028 | + | 0.252249i | ||||
\(797\) | 1.68618 | + | 8.47701i | 0.0597276 | + | 0.300271i | 0.999090 | − | 0.0426555i | \(-0.0135818\pi\) |
−0.939362 | + | 0.342927i | \(0.888582\pi\) | |||||||
\(798\) | 0.729730 | − | 0.380071i | 0.0258322 | − | 0.0134544i | ||||
\(799\) | −26.8444 | −0.949688 | ||||||||
\(800\) | −23.0417 | + | 16.3486i | −0.814649 | + | 0.578009i | ||||
\(801\) | 28.3954 | − | 33.6990i | 1.00330 | − | 1.19070i | ||||
\(802\) | 1.81984 | + | 40.5241i | 0.0642608 | + | 1.43096i | ||||
\(803\) | −23.3903 | + | 4.65262i | −0.825425 | + | 0.164187i | ||||
\(804\) | 5.03792 | + | 3.85408i | 0.177674 | + | 0.135923i | ||||
\(805\) | 0.0212929 | + | 0.0318671i | 0.000750476 | + | 0.00112317i | ||||
\(806\) | −3.09170 | − | 12.5670i | −0.108900 | − | 0.442653i | ||||
\(807\) | −1.04788 | − | 24.5819i | −0.0368873 | − | 0.865323i | ||||
\(808\) | 2.03191 | − | 32.8810i | 0.0714823 | − | 1.15675i | ||||
\(809\) | −13.8531 | + | 5.73816i | −0.487050 | + | 0.201743i | −0.612675 | − | 0.790335i | \(-0.709906\pi\) |
0.125625 | + | 0.992078i | \(0.459906\pi\) | |||||||
\(810\) | −0.662727 | + | 0.688316i | −0.0232859 | + | 0.0241850i | ||||
\(811\) | −20.2295 | − | 4.02389i | −0.710352 | − | 0.141298i | −0.173327 | − | 0.984864i | \(-0.555452\pi\) |
−0.537025 | + | 0.843566i | \(0.680452\pi\) | |||||||
\(812\) | 0.362644 | − | 3.38919i | 0.0127263 | − | 0.118937i | ||||
\(813\) | −2.96865 | + | 19.1563i | −0.104115 | + | 0.671840i | ||||
\(814\) | 4.86033 | − | 13.4055i | 0.170355 | − | 0.469863i | ||||
\(815\) | 0.383776 | − | 0.383776i | 0.0134431 | − | 0.0134431i | ||||
\(816\) | 16.3418 | − | 0.421098i | 0.572076 | − | 0.0147414i | ||||
\(817\) | 8.66537 | + | 8.66537i | 0.303163 | + | 0.303163i | ||||
\(818\) | −21.1313 | + | 9.88572i | −0.738839 | + | 0.345646i | ||||
\(819\) | 0.197560 | + | 0.683036i | 0.00690330 | + | 0.0238672i | ||||
\(820\) | 0.371725 | − | 0.681582i | 0.0129812 | − | 0.0238019i | ||||
\(821\) | −9.97627 | + | 50.1541i | −0.348174 | + | 1.75039i | 0.268602 | + | 0.963251i | \(0.413438\pi\) |
−0.616776 | + | 0.787138i | \(0.711562\pi\) | |||||||
\(822\) | −10.3898 | − | 35.6176i | −0.362387 | − | 1.24231i | ||||
\(823\) | −6.20664 | − | 14.9842i | −0.216350 | − | 0.522315i | 0.778025 | − | 0.628233i | \(-0.216222\pi\) |
−0.994375 | + | 0.105919i | \(0.966222\pi\) | |||||||
\(824\) | −32.8115 | + | 19.1074i | −1.14304 | + | 0.665637i | ||||
\(825\) | 0.809877 | + | 18.9986i | 0.0281963 | + | 0.661445i | ||||
\(826\) | −0.891178 | + | 1.47274i | −0.0310080 | + | 0.0512433i | ||||
\(827\) | −20.0660 | + | 13.4077i | −0.697763 | + | 0.466230i | −0.853178 | − | 0.521619i | \(-0.825328\pi\) |
0.155416 | + | 0.987849i | \(0.450328\pi\) | |||||||
\(828\) | 2.03424 | + | 11.5080i | 0.0706946 | + | 0.399931i | ||||
\(829\) | 0.773289 | + | 3.88759i | 0.0268575 | + | 0.135022i | 0.991888 | − | 0.127117i | \(-0.0405723\pi\) |
−0.965030 | + | 0.262138i | \(0.915572\pi\) | |||||||
\(830\) | 0.958005 | + | 0.875659i | 0.0332528 | + | 0.0303946i | ||||
\(831\) | 18.0040 | + | 38.7138i | 0.624551 | + | 1.34297i | ||||
\(832\) | 2.27403 | − | 6.86707i | 0.0788379 | − | 0.238073i | ||||
\(833\) | − | 16.3545i | − | 0.566649i | ||||||
\(834\) | 6.48594 | − | 20.5861i | 0.224590 | − | 0.712838i | ||||
\(835\) | −0.974438 | + | 0.193828i | −0.0337218 | + | 0.00670769i | ||||
\(836\) | −3.61073 | + | 4.32491i | −0.124880 | + | 0.149580i | ||||
\(837\) | 16.7496 | + | 49.8486i | 0.578951 | + | 1.72302i | ||||
\(838\) | 38.7970 | + | 23.4766i | 1.34022 | + | 0.810986i | ||||
\(839\) | 38.8599 | + | 16.0963i | 1.34159 | + | 0.555705i | 0.933939 | − | 0.357432i | \(-0.116348\pi\) |
0.407652 | + | 0.913137i | \(0.366348\pi\) | |||||||
\(840\) | 0.0169959 | + | 0.0948888i | 0.000586415 | + | 0.00327397i | ||||
\(841\) | −12.2653 | + | 5.08045i | −0.422941 | + | 0.175188i | ||||
\(842\) | 3.72412 | − | 24.3979i | 0.128342 | − | 0.840806i | ||||
\(843\) | 38.8898 | − | 9.47381i | 1.33944 | − | 0.326295i | ||||
\(844\) | −3.18647 | + | 5.84260i | −0.109683 | + | 0.201110i | ||||
\(845\) | −0.508096 | + | 0.760419i | −0.0174790 | + | 0.0261592i | ||||
\(846\) | 12.5310 | − | 46.6140i | 0.430826 | − | 1.60262i | ||||
\(847\) | 1.14315 | − | 1.14315i | 0.0392792 | − | 0.0392792i | ||||
\(848\) | 0.446842 | − | 26.5321i | 0.0153446 | − | 0.911115i | ||||
\(849\) | −1.52371 | + | 4.17298i | −0.0522937 | + | 0.143216i | ||||
\(850\) | −15.6675 | − | 5.68044i | −0.537391 | − | 0.194837i | ||||
\(851\) | −4.96342 | + | 7.42829i | −0.170144 | + | 0.254638i | ||||
\(852\) | 6.31521 | + | 18.5153i | 0.216355 | + | 0.634324i | ||||
\(853\) | 10.2912 | − | 51.7372i | 0.352363 | − | 1.77145i | −0.245046 | − | 0.969511i | \(-0.578803\pi\) |
0.597409 | − | 0.801937i | \(-0.296197\pi\) | |||||||
\(854\) | 0.960536 | + | 1.30659i | 0.0328689 | + | 0.0447107i | ||||
\(855\) | 0.275072 | + | 0.0873537i | 0.00940726 | + | 0.00298743i | ||||
\(856\) | −26.6611 | − | 30.1732i | −0.911257 | − | 1.03130i | ||||
\(857\) | −35.5270 | − | 14.7158i | −1.21358 | − | 0.502681i | −0.318216 | − | 0.948018i | \(-0.603084\pi\) |
−0.895363 | + | 0.445338i | \(0.853084\pi\) | |||||||
\(858\) | −3.04834 | − | 3.79649i | −0.104069 | − | 0.129610i | ||||
\(859\) | 31.9131 | − | 21.3237i | 1.08886 | − | 0.727554i | 0.124520 | − | 0.992217i | \(-0.460261\pi\) |
0.964341 | + | 0.264663i | \(0.0852608\pi\) | |||||||
\(860\) | −1.27191 | + | 0.666144i | −0.0433719 | + | 0.0227153i | ||||
\(861\) | 1.38616 | + | 1.89458i | 0.0472402 | + | 0.0645670i | ||||
\(862\) | 26.2955 | − | 1.18087i | 0.895630 | − | 0.0402205i | ||||
\(863\) | 56.5922i | 1.92642i | 0.268751 | + | 0.963210i | \(0.413389\pi\) | ||||
−0.268751 | + | 0.963210i | \(0.586611\pi\) | |||||||
\(864\) | −6.89715 | + | 28.5732i | −0.234646 | + | 0.972081i | ||||
\(865\) | 1.81196i | 0.0616084i | ||||||||
\(866\) | 1.66317 | + | 37.0355i | 0.0565169 | + | 1.25852i | ||||
\(867\) | −11.6927 | − | 15.9813i | −0.397103 | − | 0.542753i | ||||
\(868\) | 5.06384 | + | 1.58278i | 0.171878 | + | 0.0537231i | ||||
\(869\) | 15.3462 | − | 10.2540i | 0.520585 | − | 0.347844i | ||||
\(870\) | 0.932293 | − | 0.748571i | 0.0316077 | − | 0.0253789i | ||||
\(871\) | 1.52968 | + | 0.633615i | 0.0518313 | + | 0.0214692i | ||||
\(872\) | 9.04991 | + | 26.3368i | 0.306469 | + | 0.891877i | ||||
\(873\) | 37.1832 | + | 11.8082i | 1.25846 | + | 0.399645i | ||||
\(874\) | 2.84405 | − | 2.09079i | 0.0962013 | − | 0.0707219i | ||||
\(875\) | 0.0383669 | − | 0.192884i | 0.00129704 | − | 0.00652066i | ||||
\(876\) | 33.7303 | + | 16.5729i | 1.13964 | + | 0.559945i | ||||
\(877\) | −18.4579 | + | 27.6242i | −0.623279 | + | 0.932802i | 0.376700 | + | 0.926335i | \(0.377059\pi\) |
−0.999979 | + | 0.00646722i | \(0.997941\pi\) | |||||||
\(878\) | −11.0466 | + | 30.4682i | −0.372805 | + | 1.02825i | ||||
\(879\) | −11.2078 | + | 30.6947i | −0.378030 | + | 1.03531i | ||||
\(880\) | −0.357437 | − | 0.554950i | −0.0120492 | − | 0.0187074i | ||||
\(881\) | −28.1610 | + | 28.1610i | −0.948767 | + | 0.948767i | −0.998750 | − | 0.0499827i | \(-0.984083\pi\) |
0.0499827 | + | 0.998750i | \(0.484083\pi\) | |||||||
\(882\) | 28.3987 | + | 7.63430i | 0.956236 | + | 0.257060i | ||||
\(883\) | −7.45192 | + | 11.1526i | −0.250777 | + | 0.375314i | −0.935405 | − | 0.353578i | \(-0.884965\pi\) |
0.684628 | + | 0.728893i | \(0.259965\pi\) | |||||||
\(884\) | 4.09361 | − | 1.20424i | 0.137683 | − | 0.0405029i | ||||
\(885\) | −0.586663 | + | 0.142915i | −0.0197205 | + | 0.00480403i | ||||
\(886\) | −9.68855 | − | 1.47887i | −0.325493 | − | 0.0496837i | ||||
\(887\) | 23.8945 | − | 9.89741i | 0.802298 | − | 0.332323i | 0.0564213 | − | 0.998407i | \(-0.482031\pi\) |
0.745876 | + | 0.666085i | \(0.232031\pi\) | |||||||
\(888\) | −18.9190 | + | 12.1247i | −0.634879 | + | 0.406878i | ||||
\(889\) | 0.100072 | + | 0.0414513i | 0.00335631 | + | 0.00139023i | ||||
\(890\) | 0.807366 | − | 1.33424i | 0.0270630 | − | 0.0447237i | ||||
\(891\) | 13.6219 | + | 14.3476i | 0.456352 | + | 0.480663i | ||||
\(892\) | −2.26085 | − | 25.1215i | −0.0756989 | − | 0.841131i | ||||
\(893\) | −14.2995 | + | 2.84434i | −0.478514 | + | 0.0951823i | ||||
\(894\) | 14.3368 | + | 4.51701i | 0.479494 | + | 0.151071i | ||||
\(895\) | 0.920951i | 0.0307840i | ||||||||
\(896\) | 1.92589 | + | 2.25501i | 0.0643395 | + | 0.0753346i | ||||
\(897\) | 1.28634 | + | 2.76599i | 0.0429495 | + | 0.0923539i | ||||
\(898\) | −6.34629 | + | 6.94308i | −0.211778 | + | 0.231694i | ||||
\(899\) | −12.8375 | − | 64.5387i | −0.428156 | − | 2.15249i | ||||
\(900\) | 17.1774 | − | 24.5542i | 0.572581 | − | 0.818473i | ||||
\(901\) | 13.0149 | − | 8.69629i | 0.433590 | − | 0.289715i | ||||
\(902\) | −13.7529 | − | 8.32210i | −0.457923 | − | 0.277096i | ||||
\(903\) | −0.184903 | − | 4.33756i | −0.00615319 | − | 0.144345i | ||||
\(904\) | 4.06360 | + | 30.0004i | 0.135153 | + | 0.997799i | ||||
\(905\) | −0.302979 | − | 0.731455i | −0.0100714 | − | 0.0243144i | ||||
\(906\) | 19.9752 | − | 5.82687i | 0.663632 | − | 0.193585i | ||||
\(907\) | −0.344578 | + | 1.73231i | −0.0114415 | + | 0.0575205i | −0.986084 | − | 0.166246i | \(-0.946835\pi\) |
0.974643 | + | 0.223767i | \(0.0718354\pi\) | |||||||
\(908\) | 7.82958 | + | 26.6154i | 0.259834 | + | 0.883262i | ||||
\(909\) | 9.70864 | + | 33.5662i | 0.322015 | + | 1.11332i | ||||
\(910\) | 0.0106626 | + | 0.0227919i | 0.000353462 | + | 0.000755546i | ||||
\(911\) | −16.1986 | − | 16.1986i | −0.536684 | − | 0.536684i | 0.385869 | − | 0.922554i | \(-0.373902\pi\) |
−0.922554 | + | 0.385869i | \(0.873902\pi\) | |||||||
\(912\) | 8.66030 | − | 1.95583i | 0.286771 | − | 0.0647639i | ||||
\(913\) | 19.0025 | − | 19.0025i | 0.628893 | − | 0.628893i | ||||
\(914\) | −22.0234 | − | 7.98484i | −0.728469 | − | 0.264115i | ||||
\(915\) | −0.0871136 | + | 0.562132i | −0.00287989 | + | 0.0185835i | ||||
\(916\) | 0.256176 | − | 0.206653i | 0.00846428 | − | 0.00682800i | ||||
\(917\) | −1.38175 | − | 0.274847i | −0.0456294 | − | 0.00907625i | ||||
\(918\) | −16.1715 | + | 6.25437i | −0.533739 | + | 0.206425i | ||||
\(919\) | −25.4121 | + | 10.5260i | −0.838266 | + | 0.347221i | −0.760170 | − | 0.649725i | \(-0.774884\pi\) |
−0.0780965 | + | 0.996946i | \(0.524884\pi\) | |||||||
\(920\) | 0.134399 | + | 0.391123i | 0.00443099 | + | 0.0128950i | ||||
\(921\) | −0.975911 | − | 22.8935i | −0.0321574 | − | 0.754366i | ||||
\(922\) | −35.1608 | + | 8.65016i | −1.15796 | + | 0.284878i | ||||
\(923\) | 2.83696 | + | 4.24581i | 0.0933797 | + | 0.139753i | ||||
\(924\) | 1.97852 | − | 0.263412i | 0.0650886 | − | 0.00866562i | ||||
\(925\) | 22.4681 | − | 4.46919i | 0.738747 | − | 0.146946i | ||||
\(926\) | 19.8176 | − | 0.889959i | 0.651246 | − | 0.0292459i | ||||
\(927\) | 25.9504 | − | 30.7973i | 0.852322 | − | 1.01152i | ||||
\(928\) | 13.1173 | − | 34.3623i | 0.430595 | − | 1.12800i | ||||
\(929\) | 45.2667 | 1.48515 | 0.742576 | − | 0.669762i | \(-0.233604\pi\) | ||||
0.742576 | + | 0.669762i | \(0.233604\pi\) | |||||||
\(930\) | 0.859674 | + | 1.65056i | 0.0281898 | + | 0.0541240i | ||||
\(931\) | −1.73286 | − | 8.71169i | −0.0567923 | − | 0.285514i | ||||
\(932\) | −15.0990 | − | 28.8295i | −0.494584 | − | 0.944343i | ||||
\(933\) | 4.23780 | − | 6.96747i | 0.138739 | − | 0.228105i | ||||
\(934\) | −5.24341 | + | 1.28997i | −0.171570 | + | 0.0422091i | ||||
\(935\) | 0.149008 | − | 0.359738i | 0.00487310 | − | 0.0117647i | ||||
\(936\) | 0.180195 | + | 7.67049i | 0.00588986 | + | 0.250718i | ||||
\(937\) | 16.4387 | + | 39.6866i | 0.537030 | + | 1.29650i | 0.926787 | + | 0.375587i | \(0.122559\pi\) |
−0.389758 | + | 0.920917i | \(0.627441\pi\) | |||||||
\(938\) | −0.546882 | + | 0.402038i | −0.0178563 | + | 0.0131270i | ||||
\(939\) | −16.0949 | + | 3.92081i | −0.525236 | + | 0.127951i | ||||
\(940\) | 0.181740 | − | 1.69850i | 0.00592769 | − | 0.0553988i | ||||
\(941\) | 13.4371 | + | 8.97839i | 0.438037 | + | 0.292687i | 0.754968 | − | 0.655762i | \(-0.227652\pi\) |
−0.316931 | + | 0.948449i | \(0.602652\pi\) | |||||||
\(942\) | −31.2201 | + | 2.73812i | −1.01721 | + | 0.0892129i | ||||
\(943\) | 7.12152 | + | 7.12152i | 0.231908 | + | 0.231908i | ||||
\(944\) | −13.3539 | + | 12.9116i | −0.434633 | + | 0.420236i | ||||
\(945\) | −0.0508492 | − | 0.0887057i | −0.00165412 | − | 0.00288560i | ||||
\(946\) | 12.5974 | + | 26.9278i | 0.409578 | + | 0.875498i | ||||
\(947\) | 11.2306 | + | 7.50405i | 0.364946 | + | 0.243849i | 0.724499 | − | 0.689276i | \(-0.242071\pi\) |
−0.359554 | + | 0.933124i | \(0.617071\pi\) | |||||||
\(948\) | −29.0256 | − | 1.85995i | −0.942708 | − | 0.0604085i | ||||
\(949\) | 9.62140 | + | 1.91381i | 0.312324 | + | 0.0621250i | ||||
\(950\) | −8.94763 | − | 1.36578i | −0.290299 | − | 0.0443117i | ||||
\(951\) | 2.20591 | − | 2.40235i | 0.0715314 | − | 0.0779015i | ||||
\(952\) | −0.446437 | + | 1.69135i | −0.0144691 | + | 0.0548170i | ||||
\(953\) | −16.3000 | + | 39.3517i | −0.528009 | + | 1.27473i | 0.404817 | + | 0.914398i | \(0.367335\pi\) |
−0.932826 | + | 0.360328i | \(0.882665\pi\) | |||||||
\(954\) | 9.02529 | + | 26.6592i | 0.292205 | + | 0.863124i | ||||
\(955\) | 1.15082 | + | 1.72232i | 0.0372396 | + | 0.0557329i | ||||
\(956\) | 21.5211 | + | 17.9673i | 0.696042 | + | 0.581103i | ||||
\(957\) | −14.6179 | − | 19.9794i | −0.472529 | − | 0.645844i | ||||
\(958\) | 4.43427 | − | 4.85126i | 0.143265 | − | 0.156737i | ||||
\(959\) | 3.97022 | 0.128205 | ||||||||
\(960\) | −0.0839918 | + | 1.03682i | −0.00271082 | + | 0.0334633i | ||||
\(961\) | 71.4236 | 2.30399 | ||||||||
\(962\) | −3.95728 | + | 4.32942i | −0.127588 | + | 0.139586i | ||||
\(963\) | 37.4000 | + | 20.6187i | 1.20520 | + | 0.664429i | ||||
\(964\) | −11.8551 | + | 14.1999i | −0.381826 | + | 0.457349i | ||||
\(965\) | 0.210125 | + | 0.314474i | 0.00676416 | + | 0.0101233i | ||||
\(966\) | −1.24313 | − | 0.135877i | −0.0399972 | − | 0.00437177i | ||||
\(967\) | 1.80085 | − | 4.34765i | 0.0579116 | − | 0.139811i | −0.892275 | − | 0.451492i | \(-0.850892\pi\) |
0.950187 | + | 0.311681i | \(0.100892\pi\) | |||||||
\(968\) | 15.0752 | − | 8.77886i | 0.484535 | − | 0.282163i | ||||
\(969\) | 3.85760 | + | 3.54216i | 0.123924 | + | 0.113791i | ||||
\(970\) | 1.36483 | + | 0.208329i | 0.0438220 | + | 0.00668905i | ||||
\(971\) | −49.1172 | − | 9.77002i | −1.57625 | − | 0.313535i | −0.672002 | − | 0.740550i | \(-0.734565\pi\) |
−0.904245 | + | 0.427015i | \(0.859565\pi\) | |||||||
\(972\) | −3.31152 | − | 31.0005i | −0.106217 | − | 0.994343i | ||||
\(973\) | 1.92038 | + | 1.28316i | 0.0615646 | + | 0.0411361i | ||||
\(974\) | 11.6757 | + | 24.9576i | 0.374114 | + | 0.799692i | ||||
\(975\) | 2.68286 | − | 7.34751i | 0.0859201 | − | 0.235309i | ||||
\(976\) | 6.42343 | + | 16.2775i | 0.205609 | + | 0.521032i | ||||
\(977\) | −14.3409 | − | 14.3409i | −0.458806 | − | 0.458806i | 0.439457 | − | 0.898263i | \(-0.355171\pi\) |
−0.898263 | + | 0.439457i | \(0.855171\pi\) | |||||||
\(978\) | 1.54721 | + | 17.6413i | 0.0494742 | + | 0.564106i | ||||
\(979\) | −26.8482 | − | 17.9394i | −0.858073 | − | 0.573346i | ||||
\(980\) | 1.03478 | + | 0.110722i | 0.0330548 | + | 0.00353687i | ||||
\(981\) | −18.4407 | − | 23.0740i | −0.588768 | − | 0.736695i | ||||
\(982\) | −12.3074 | + | 9.04773i | −0.392745 | + | 0.288725i | ||||
\(983\) | −20.8007 | − | 50.2173i | −0.663439 | − | 1.60168i | −0.792378 | − | 0.610030i | \(-0.791157\pi\) |
0.128939 | − | 0.991652i | \(-0.458843\pi\) | |||||||
\(984\) | 9.24490 | + | 23.5844i | 0.294717 | + | 0.751843i | ||||
\(985\) | −0.392683 | + | 0.948021i | −0.0125119 | + | 0.0302065i | ||||
\(986\) | 21.0680 | − | 5.18309i | 0.670942 | − | 0.165063i | ||||
\(987\) | 4.41299 | + | 2.68410i | 0.140467 | + | 0.0854358i | ||||
\(988\) | 2.05298 | − | 1.07522i | 0.0653141 | − | 0.0342072i | ||||
\(989\) | −3.63374 | − | 18.2680i | −0.115546 | − | 0.580890i | ||||
\(990\) | 0.555110 | + | 0.426672i | 0.0176426 | + | 0.0135605i | ||||
\(991\) | −21.0842 | −0.669761 | −0.334880 | − | 0.942261i | \(-0.608696\pi\) | ||||
−0.334880 | + | 0.942261i | \(0.608696\pi\) | |||||||
\(992\) | 48.4745 | + | 30.4594i | 1.53907 | + | 0.967087i | ||||
\(993\) | 20.5363 | + | 44.1590i | 0.651700 | + | 1.40134i | ||||
\(994\) | −2.09125 | + | 0.0939130i | −0.0663305 | + | 0.00297874i | ||||
\(995\) | −0.878223 | + | 0.174689i | −0.0278415 | + | 0.00553803i | ||||
\(996\) | −41.9786 | + | 5.58885i | −1.33014 | + | 0.177089i | ||||
\(997\) | 34.7772 | + | 52.0478i | 1.10141 | + | 1.64837i | 0.660525 | + | 0.750804i | \(0.270334\pi\) |
0.440881 | + | 0.897566i | \(0.354666\pi\) | |||||||
\(998\) | 49.0063 | − | 12.0564i | 1.55127 | − | 0.381639i | ||||
\(999\) | 14.5675 | − | 18.8637i | 0.460896 | − | 0.596822i |
(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 | 192.2.s.a.107.24 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.107.7 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.335.5 | 240 | |||
12.11 | even | 2 | 768.2.s.a.335.2 | 240 | |||
64.3 | odd | 16 | inner | 192.2.s.a.131.7 | yes | 240 | |
64.61 | even | 16 | 768.2.s.a.431.2 | 240 | |||
192.125 | odd | 16 | 768.2.s.a.431.5 | 240 | |||
192.131 | even | 16 | inner | 192.2.s.a.131.24 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.107.7 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.107.24 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.131.7 | yes | 240 | 64.3 | odd | 16 | inner | |
192.2.s.a.131.24 | yes | 240 | 192.131 | even | 16 | inner | |
768.2.s.a.335.2 | 240 | 12.11 | even | 2 | |||
768.2.s.a.335.5 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.431.2 | 240 | 64.61 | even | 16 | |||
768.2.s.a.431.5 | 240 | 192.125 | odd | 16 |