Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.10 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.10 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.64926 | + | 0.633093i | −1.16620 | + | 0.447664i | −0.862972 | − | 0.505252i | \(-0.831399\pi\) |
−0.303233 | + | 0.952916i | \(0.598066\pi\) | |||||||
\(3\) | 0.350555 | + | 0.0368448i | 0.202393 | + | 0.0212723i | 0.205182 | − | 0.978724i | \(-0.434221\pi\) |
−0.00278951 | + | 0.999996i | \(0.500888\pi\) | |||||||
\(4\) | 0.832971 | − | 0.750010i | 0.416485 | − | 0.375005i | ||||
\(5\) | 0.166326 | − | 0.166326i | 0.0743831 | − | 0.0743831i | −0.668936 | − | 0.743320i | \(-0.733250\pi\) |
0.743320 | + | 0.668936i | \(0.233250\pi\) | |||||||
\(6\) | −0.601483 | + | 0.161167i | −0.245554 | + | 0.0657961i | ||||
\(7\) | 0.0307024 | − | 0.585837i | 0.0116044 | − | 0.221425i | −0.986671 | − | 0.162726i | \(-0.947971\pi\) |
0.998276 | − | 0.0586994i | \(-0.0186953\pi\) | |||||||
\(8\) | 0.705077 | − | 1.38379i | 0.249282 | − | 0.489244i | ||||
\(9\) | −2.81291 | − | 0.597903i | −0.937637 | − | 0.199301i | ||||
\(10\) | −0.169015 | + | 0.379614i | −0.0534473 | + | 0.120045i | ||||
\(11\) | −2.51208 | + | 3.86826i | −0.757421 | + | 1.16633i | 0.224025 | + | 0.974583i | \(0.428080\pi\) |
−0.981445 | + | 0.191742i | \(0.938586\pi\) | |||||||
\(12\) | 0.319636 | − | 0.232229i | 0.0922709 | − | 0.0670387i | ||||
\(13\) | 2.23648 | + | 2.82810i | 0.620289 | + | 0.784374i | ||||
\(14\) | 0.320252 | + | 0.985636i | 0.0855911 | + | 0.263422i | ||||
\(15\) | 0.0644345 | − | 0.0521780i | 0.0166369 | − | 0.0134723i | ||||
\(16\) | −0.521115 | + | 4.95808i | −0.130279 | + | 1.23952i | ||||
\(17\) | −2.19422 | − | 0.466397i | −0.532178 | − | 0.113118i | −0.0660179 | − | 0.997818i | \(-0.521029\pi\) |
−0.466160 | + | 0.884701i | \(0.654363\pi\) | |||||||
\(18\) | 5.01776 | − | 0.794735i | 1.18270 | − | 0.187321i | ||||
\(19\) | 0.719079 | + | 0.582299i | 0.164968 | + | 0.133588i | 0.708250 | − | 0.705962i | \(-0.249485\pi\) |
−0.543282 | + | 0.839550i | \(0.682818\pi\) | |||||||
\(20\) | 0.0137985 | − | 0.263290i | 0.00308543 | − | 0.0588735i | ||||
\(21\) | 0.0323479 | − | 0.204237i | 0.00705889 | − | 0.0445681i | ||||
\(22\) | 1.69411 | − | 7.97016i | 0.361186 | − | 1.69924i | ||||
\(23\) | −0.515690 | + | 0.572732i | −0.107529 | + | 0.119423i | −0.794506 | − | 0.607256i | \(-0.792270\pi\) |
0.686978 | + | 0.726679i | \(0.258937\pi\) | |||||||
\(24\) | 0.298154 | − | 0.459116i | 0.0608603 | − | 0.0937167i | ||||
\(25\) | 4.94467i | 0.988934i | ||||||||
\(26\) | −5.47899 | − | 3.24838i | −1.07452 | − | 0.637059i | ||||
\(27\) | −1.96975 | − | 0.640011i | −0.379079 | − | 0.123170i | ||||
\(28\) | −0.413809 | − | 0.511012i | −0.0782026 | − | 0.0965722i | ||||
\(29\) | −2.18321 | + | 4.90356i | −0.405411 | + | 0.910569i | 0.589305 | + | 0.807911i | \(0.299402\pi\) |
−0.994717 | + | 0.102659i | \(0.967265\pi\) | |||||||
\(30\) | −0.0732359 | + | 0.126848i | −0.0133710 | + | 0.0231592i | ||||
\(31\) | −4.73277 | − | 2.93272i | −0.850031 | − | 0.526733i | ||||
\(32\) | −1.47554 | − | 5.50680i | −0.260841 | − | 0.973473i | ||||
\(33\) | −1.02315 | + | 1.26348i | −0.178107 | + | 0.219944i | ||||
\(34\) | 3.91412 | − | 0.619936i | 0.671267 | − | 0.106318i | ||||
\(35\) | −0.0923331 | − | 0.102546i | −0.0156071 | − | 0.0173335i | ||||
\(36\) | −2.79151 | + | 1.61168i | −0.465251 | + | 0.268613i | ||||
\(37\) | −5.71061 | − | 1.53015i | −0.938818 | − | 0.251555i | −0.243207 | − | 0.969974i | \(-0.578199\pi\) |
−0.695611 | + | 0.718419i | \(0.744866\pi\) | |||||||
\(38\) | −1.55460 | − | 0.505120i | −0.252189 | − | 0.0819412i | ||||
\(39\) | 0.679809 | + | 1.07381i | 0.108856 | + | 0.171947i | ||||
\(40\) | −0.112888 | − | 0.347433i | −0.0178491 | − | 0.0549339i | ||||
\(41\) | −3.95844 | + | 1.51950i | −0.618204 | + | 0.237306i | −0.647258 | − | 0.762271i | \(-0.724084\pi\) |
0.0290531 | + | 0.999578i | \(0.490751\pi\) | |||||||
\(42\) | 0.0759505 | + | 0.357319i | 0.0117194 | + | 0.0551355i | ||||
\(43\) | 1.06750 | + | 10.1566i | 0.162792 | + | 1.54886i | 0.705358 | + | 0.708851i | \(0.250786\pi\) |
−0.542566 | + | 0.840013i | \(0.682547\pi\) | |||||||
\(44\) | 0.808748 | + | 5.10624i | 0.121923 | + | 0.769794i | ||||
\(45\) | −0.567306 | + | 0.368413i | −0.0845690 | + | 0.0549198i | ||||
\(46\) | 0.487916 | − | 1.27107i | 0.0719393 | − | 0.187408i | ||||
\(47\) | −0.367164 | − | 2.31818i | −0.0535563 | − | 0.338141i | −0.999888 | − | 0.0149452i | \(-0.995243\pi\) |
0.946332 | − | 0.323196i | \(-0.104757\pi\) | |||||||
\(48\) | −0.365359 | + | 1.71888i | −0.0527350 | + | 0.248099i | ||||
\(49\) | 6.61939 | + | 0.695726i | 0.945627 | + | 0.0993894i | ||||
\(50\) | −3.13043 | − | 8.15506i | −0.442710 | − | 1.15330i | ||||
\(51\) | −0.752011 | − | 0.244343i | −0.105303 | − | 0.0342149i | ||||
\(52\) | 3.98403 | + | 0.678340i | 0.552485 | + | 0.0940688i | ||||
\(53\) | −9.12726 | + | 2.96563i | −1.25373 | + | 0.407360i | −0.859254 | − | 0.511549i | \(-0.829072\pi\) |
−0.394471 | + | 0.918909i | \(0.629072\pi\) | |||||||
\(54\) | 3.65382 | − | 0.191489i | 0.497222 | − | 0.0260583i | ||||
\(55\) | 0.225568 | + | 1.06122i | 0.0304156 | + | 0.143094i | ||||
\(56\) | −0.789028 | − | 0.455546i | −0.105438 | − | 0.0608749i | ||||
\(57\) | 0.230622 | + | 0.230622i | 0.0305466 | + | 0.0305466i | ||||
\(58\) | 0.496272 | − | 9.46944i | 0.0651637 | − | 1.24340i | ||||
\(59\) | −12.2232 | − | 4.69204i | −1.59132 | − | 0.610852i | −0.608198 | − | 0.793786i | \(-0.708107\pi\) |
−0.983125 | + | 0.182934i | \(0.941441\pi\) | |||||||
\(60\) | 0.0145380 | − | 0.0917893i | 0.00187685 | − | 0.0118499i | ||||
\(61\) | −2.04848 | − | 1.18269i | −0.262281 | − | 0.151428i | 0.363093 | − | 0.931753i | \(-0.381721\pi\) |
−0.625375 | + | 0.780324i | \(0.715054\pi\) | |||||||
\(62\) | 9.66227 | + | 1.84055i | 1.22711 | + | 0.233750i | ||||
\(63\) | −0.436637 | + | 1.62955i | −0.0550110 | + | 0.205304i | ||||
\(64\) | 0.0591886 | + | 0.0814661i | 0.00739857 | + | 0.0101833i | ||||
\(65\) | 0.842370 | + | 0.0984012i | 0.104483 | + | 0.0122052i | ||||
\(66\) | 0.887537 | − | 2.73156i | 0.109248 | − | 0.336232i | ||||
\(67\) | 8.52346 | + | 2.28386i | 1.04131 | + | 0.279017i | 0.738655 | − | 0.674084i | \(-0.235461\pi\) |
0.302652 | + | 0.953101i | \(0.402128\pi\) | |||||||
\(68\) | −2.17753 | + | 1.25720i | −0.264064 | + | 0.152457i | ||||
\(69\) | −0.201880 | + | 0.181773i | −0.0243035 | + | 0.0218829i | ||||
\(70\) | 0.217203 | + | 0.110670i | 0.0259607 | + | 0.0132276i | ||||
\(71\) | 9.39097 | − | 6.09857i | 1.11450 | − | 0.723767i | 0.150223 | − | 0.988652i | \(-0.452001\pi\) |
0.964280 | + | 0.264886i | \(0.0853342\pi\) | |||||||
\(72\) | −2.81069 | + | 3.47092i | −0.331243 | + | 0.409051i | ||||
\(73\) | −1.24453 | − | 2.44254i | −0.145662 | − | 0.285877i | 0.806636 | − | 0.591049i | \(-0.201286\pi\) |
−0.952297 | + | 0.305172i | \(0.901286\pi\) | |||||||
\(74\) | 10.3870 | − | 1.09172i | 1.20747 | − | 0.126910i | ||||
\(75\) | −0.182185 | + | 1.73338i | −0.0210369 | + | 0.200153i | ||||
\(76\) | 1.03570 | − | 0.0542788i | 0.118803 | − | 0.00622621i | ||||
\(77\) | 2.18904 | + | 1.59043i | 0.249465 | + | 0.181247i | ||||
\(78\) | −1.80100 | − | 1.34061i | −0.203923 | − | 0.151794i | ||||
\(79\) | 5.83037 | − | 1.89440i | 0.655967 | − | 0.213137i | 0.0379239 | − | 0.999281i | \(-0.487926\pi\) |
0.618043 | + | 0.786144i | \(0.287926\pi\) | |||||||
\(80\) | 0.737981 | + | 0.911331i | 0.0825088 | + | 0.101890i | ||||
\(81\) | 7.21447 | + | 3.21209i | 0.801608 | + | 0.356899i | ||||
\(82\) | 5.56652 | − | 5.01212i | 0.614719 | − | 0.553496i | ||||
\(83\) | −2.86071 | − | 0.453092i | −0.314003 | − | 0.0497333i | −0.00255628 | − | 0.999997i | \(-0.500814\pi\) |
−0.311447 | + | 0.950263i | \(0.600814\pi\) | |||||||
\(84\) | −0.126235 | − | 0.194384i | −0.0137733 | − | 0.0212091i | ||||
\(85\) | −0.442530 | + | 0.287382i | −0.0479991 | + | 0.0311710i | ||||
\(86\) | −8.19065 | − | 16.0750i | −0.883220 | − | 1.73342i | ||||
\(87\) | −0.946004 | + | 1.63853i | −0.101422 | + | 0.175669i | ||||
\(88\) | 3.58166 | + | 6.20362i | 0.381806 | + | 0.661308i | ||||
\(89\) | −2.41859 | + | 3.72431i | −0.256370 | + | 0.394776i | −0.943296 | − | 0.331952i | \(-0.892293\pi\) |
0.686926 | + | 0.726727i | \(0.258960\pi\) | |||||||
\(90\) | 0.702397 | − | 0.966767i | 0.0740392 | − | 0.101906i | ||||
\(91\) | 1.72547 | − | 1.22338i | 0.180878 | − | 0.128245i | ||||
\(92\) | 0.863842i | 0.0900618i | ||||||||
\(93\) | −1.55104 | − | 1.20246i | −0.160835 | − | 0.124689i | ||||
\(94\) | 2.07317 | + | 3.59084i | 0.213831 | + | 0.370367i | ||||
\(95\) | 0.216453 | − | 0.0227501i | 0.0222076 | − | 0.00233411i | ||||
\(96\) | −0.314361 | − | 1.98480i | −0.0320844 | − | 0.202573i | ||||
\(97\) | 18.5506 | + | 0.972194i | 1.88353 | + | 0.0987114i | 0.959172 | − | 0.282825i | \(-0.0912715\pi\) |
0.924354 | + | 0.381536i | \(0.124605\pi\) | |||||||
\(98\) | −11.3576 | + | 3.04325i | −1.14729 | + | 0.307415i | ||||
\(99\) | 9.37911 | − | 9.37911i | 0.942636 | − | 0.942636i | ||||
\(100\) | 3.70855 | + | 4.11877i | 0.370855 | + | 0.411877i | ||||
\(101\) | 5.24267 | + | 4.72052i | 0.521665 | + | 0.469709i | 0.887394 | − | 0.461012i | \(-0.152514\pi\) |
−0.365729 | + | 0.930721i | \(0.619180\pi\) | |||||||
\(102\) | 1.39496 | − | 0.0731065i | 0.138121 | − | 0.00723863i | ||||
\(103\) | 3.16930 | + | 4.36217i | 0.312280 | + | 0.429817i | 0.936091 | − | 0.351759i | \(-0.114416\pi\) |
−0.623810 | + | 0.781576i | \(0.714416\pi\) | |||||||
\(104\) | 5.49039 | − | 1.10080i | 0.538377 | − | 0.107942i | ||||
\(105\) | −0.0285895 | − | 0.0393501i | −0.00279005 | − | 0.00384017i | ||||
\(106\) | 13.1757 | − | 10.6695i | 1.27974 | − | 1.03631i | ||||
\(107\) | −9.41563 | + | 10.4571i | −0.910243 | + | 1.01093i | 0.0896448 | + | 0.995974i | \(0.471427\pi\) |
−0.999888 | + | 0.0149539i | \(0.995240\pi\) | |||||||
\(108\) | −2.12076 | + | 0.944223i | −0.204070 | + | 0.0908579i | ||||
\(109\) | 11.1580 | − | 1.76726i | 1.06875 | − | 0.169273i | 0.402812 | − | 0.915283i | \(-0.368033\pi\) |
0.665935 | + | 0.746010i | \(0.268033\pi\) | |||||||
\(110\) | −1.04387 | − | 1.60742i | −0.0995290 | − | 0.153261i | ||||
\(111\) | −1.94550 | − | 0.746808i | −0.184659 | − | 0.0708839i | ||||
\(112\) | 2.88863 | + | 0.457513i | 0.272949 | + | 0.0432309i | ||||
\(113\) | 7.65337 | + | 8.49993i | 0.719969 | + | 0.799606i | 0.986420 | − | 0.164242i | \(-0.0525178\pi\) |
−0.266451 | + | 0.963848i | \(0.585851\pi\) | |||||||
\(114\) | −0.526361 | − | 0.234351i | −0.0492982 | − | 0.0219490i | ||||
\(115\) | 0.00948752 | + | 0.181033i | 0.000884716 | + | 0.0168814i | ||||
\(116\) | 1.85918 | + | 5.72195i | 0.172620 | + | 0.531270i | ||||
\(117\) | −4.60010 | − | 9.29239i | −0.425279 | − | 0.859082i | ||||
\(118\) | 23.1297 | 2.12926 | ||||||||
\(119\) | −0.340600 | + | 1.27114i | −0.0312228 | + | 0.116525i | ||||
\(120\) | −0.0267722 | − | 0.125953i | −0.00244396 | − | 0.0114979i | ||||
\(121\) | −4.17882 | − | 9.38578i | −0.379893 | − | 0.853253i | ||||
\(122\) | 4.12724 | + | 0.653691i | 0.373663 | + | 0.0591824i | ||||
\(123\) | −1.44364 | + | 0.386821i | −0.130168 | + | 0.0348785i | ||||
\(124\) | −6.14183 | + | 1.10675i | −0.551553 | + | 0.0993894i | ||||
\(125\) | 1.65405 | + | 1.65405i | 0.147943 | + | 0.147943i | ||||
\(126\) | −0.311528 | − | 2.96399i | −0.0277531 | − | 0.264053i | ||||
\(127\) | 0.933416 | − | 8.88086i | 0.0828273 | − | 0.788049i | −0.871723 | − | 0.489999i | \(-0.836997\pi\) |
0.954550 | − | 0.298050i | \(-0.0963362\pi\) | |||||||
\(128\) | 9.41342 | + | 6.11315i | 0.832037 | + | 0.540331i | ||||
\(129\) | 3.59977i | 0.316942i | ||||||||
\(130\) | −1.45159 | + | 0.371009i | −0.127313 | + | 0.0325396i | ||||
\(131\) | 2.23477 | − | 6.87792i | 0.195253 | − | 0.600926i | −0.804721 | − | 0.593654i | \(-0.797685\pi\) |
0.999974 | − | 0.00727283i | \(-0.00231503\pi\) | |||||||
\(132\) | 0.0953724 | + | 1.81981i | 0.00830110 | + | 0.158394i | ||||
\(133\) | 0.363209 | − | 0.403385i | 0.0314942 | − | 0.0349779i | ||||
\(134\) | −15.5033 | + | 1.62946i | −1.33928 | + | 0.140764i | ||||
\(135\) | −0.434070 | + | 0.221170i | −0.0373588 | + | 0.0190353i | ||||
\(136\) | −2.19249 | + | 2.70750i | −0.188005 | + | 0.232167i | ||||
\(137\) | 2.81622 | − | 7.33650i | 0.240606 | − | 0.626800i | −0.759102 | − | 0.650972i | \(-0.774362\pi\) |
0.999708 | + | 0.0241721i | \(0.00769498\pi\) | |||||||
\(138\) | 0.217873 | − | 0.427601i | 0.0185466 | − | 0.0363998i | ||||
\(139\) | −3.48159 | − | 7.81977i | −0.295304 | − | 0.663264i | 0.703574 | − | 0.710622i | \(-0.251587\pi\) |
−0.998878 | + | 0.0473580i | \(0.984920\pi\) | |||||||
\(140\) | −0.153822 | − | 0.0161673i | −0.0130003 | − | 0.00136639i | ||||
\(141\) | −0.0432981 | − | 0.826177i | −0.00364636 | − | 0.0695767i | ||||
\(142\) | −11.6272 | + | 16.0035i | −0.975734 | + | 1.34298i | ||||
\(143\) | −16.5581 | + | 1.54689i | −1.38465 | + | 0.129358i | ||||
\(144\) | 4.43030 | − | 13.6351i | 0.369192 | − | 1.13626i | ||||
\(145\) | 0.452465 | + | 1.17871i | 0.0375752 | + | 0.0978867i | ||||
\(146\) | 3.59892 | + | 3.24048i | 0.297848 | + | 0.268184i | ||||
\(147\) | 2.29482 | + | 0.487780i | 0.189274 | + | 0.0402314i | ||||
\(148\) | −5.90440 | + | 3.00844i | −0.485338 | + | 0.247292i | ||||
\(149\) | −3.66557 | − | 13.6801i | −0.300295 | − | 1.12072i | −0.936920 | − | 0.349544i | \(-0.886337\pi\) |
0.636625 | − | 0.771174i | \(-0.280330\pi\) | |||||||
\(150\) | −0.796917 | − | 2.97413i | −0.0650680 | − | 0.242837i | ||||
\(151\) | −6.72939 | − | 13.2072i | −0.547630 | − | 1.07478i | −0.984520 | − | 0.175269i | \(-0.943920\pi\) |
0.436891 | − | 0.899515i | \(-0.356080\pi\) | |||||||
\(152\) | 1.31279 | − | 0.584490i | 0.106481 | − | 0.0474084i | ||||
\(153\) | 5.89330 | + | 2.62387i | 0.476445 | + | 0.212127i | ||||
\(154\) | −4.61720 | − | 1.23718i | −0.372065 | − | 0.0996944i | ||||
\(155\) | −1.27497 | + | 0.299394i | −0.102408 | + | 0.0240479i | ||||
\(156\) | 1.37163 | + | 0.384586i | 0.109818 | + | 0.0307915i | ||||
\(157\) | −18.6695 | + | 13.5642i | −1.48999 | + | 1.08254i | −0.515826 | + | 0.856693i | \(0.672515\pi\) |
−0.974163 | + | 0.225847i | \(0.927485\pi\) | |||||||
\(158\) | −8.41647 | + | 6.81552i | −0.669579 | + | 0.542214i | ||||
\(159\) | −3.30887 | + | 0.703322i | −0.262410 | + | 0.0557771i | ||||
\(160\) | −1.16134 | − | 0.670501i | −0.0918121 | − | 0.0530078i | ||||
\(161\) | 0.319695 | + | 0.319695i | 0.0251955 | + | 0.0251955i | ||||
\(162\) | −13.9321 | − | 0.730151i | −1.09461 | − | 0.0573661i | ||||
\(163\) | 5.28194 | + | 8.13347i | 0.413713 | + | 0.637062i | 0.982683 | − | 0.185296i | \(-0.0593245\pi\) |
−0.568970 | + | 0.822359i | \(0.692658\pi\) | |||||||
\(164\) | −2.15762 | + | 4.23457i | −0.168482 | + | 0.330664i | ||||
\(165\) | 0.0399738 | + | 0.380325i | 0.00311195 | + | 0.0296083i | ||||
\(166\) | 5.00491 | − | 1.06383i | 0.388456 | − | 0.0825689i | ||||
\(167\) | −15.6018 | + | 5.98896i | −1.20730 | + | 0.463440i | −0.877025 | − | 0.480445i | \(-0.840475\pi\) |
−0.330276 | + | 0.943884i | \(0.607142\pi\) | |||||||
\(168\) | −0.259813 | − | 0.188765i | −0.0200450 | − | 0.0145636i | ||||
\(169\) | −2.99629 | + | 12.6500i | −0.230484 | + | 0.973076i | ||||
\(170\) | 0.547908 | − | 0.754131i | 0.0420226 | − | 0.0578392i | ||||
\(171\) | −1.67455 | − | 2.06789i | −0.128056 | − | 0.158136i | ||||
\(172\) | 8.50674 | + | 7.65950i | 0.648633 | + | 0.584032i | ||||
\(173\) | 7.37145 | + | 16.5566i | 0.560441 | + | 1.25877i | 0.942368 | + | 0.334579i | \(0.108594\pi\) |
−0.381927 | + | 0.924193i | \(0.624739\pi\) | |||||||
\(174\) | 0.522870 | − | 3.30127i | 0.0396387 | − | 0.250269i | ||||
\(175\) | 2.89677 | + | 0.151813i | 0.218975 | + | 0.0114760i | ||||
\(176\) | −17.8701 | − | 14.4709i | −1.34701 | − | 1.09079i | ||||
\(177\) | −4.11202 | − | 2.09518i | −0.309078 | − | 0.157483i | ||||
\(178\) | 1.63106 | − | 7.67355i | 0.122253 | − | 0.575157i | ||||
\(179\) | −10.7917 | + | 2.29384i | −0.806608 | + | 0.171450i | −0.592720 | − | 0.805408i | \(-0.701946\pi\) |
−0.213888 | + | 0.976858i | \(0.568613\pi\) | |||||||
\(180\) | −0.196236 | + | 0.732363i | −0.0146266 | + | 0.0545871i | ||||
\(181\) | −9.68310 | −0.719739 | −0.359870 | − | 0.933003i | \(-0.617179\pi\) | ||||
−0.359870 | + | 0.933003i | \(0.617179\pi\) | |||||||
\(182\) | −2.07124 | + | 3.11006i | −0.153530 | + | 0.230533i | ||||
\(183\) | −0.674529 | − | 0.490074i | −0.0498626 | − | 0.0362273i | ||||
\(184\) | 0.428941 | + | 1.11743i | 0.0316219 | + | 0.0823779i | ||||
\(185\) | −1.20432 | + | 0.695317i | −0.0885437 | + | 0.0511207i | ||||
\(186\) | 3.31934 | + | 1.00122i | 0.243386 | + | 0.0734128i | ||||
\(187\) | 7.31622 | − | 7.31622i | 0.535015 | − | 0.535015i | ||||
\(188\) | −2.04450 | − | 1.65560i | −0.149110 | − | 0.120747i | ||||
\(189\) | −0.435418 | + | 1.13430i | −0.0316720 | + | 0.0825084i | ||||
\(190\) | −0.342584 | + | 0.174555i | −0.0248537 | + | 0.0126636i | ||||
\(191\) | 12.2932 | − | 21.2924i | 0.889502 | − | 1.54066i | 0.0490360 | − | 0.998797i | \(-0.484385\pi\) |
0.840466 | − | 0.541865i | \(-0.182282\pi\) | |||||||
\(192\) | 0.0177472 | + | 0.0307391i | 0.00128080 | + | 0.00221840i | ||||
\(193\) | −0.557962 | − | 0.362344i | −0.0401630 | − | 0.0260821i | 0.524401 | − | 0.851471i | \(-0.324289\pi\) |
−0.564564 | + | 0.825389i | \(0.690956\pi\) | |||||||
\(194\) | −31.2103 | + | 10.1408i | −2.24077 | + | 0.728069i | ||||
\(195\) | 0.291671 | + | 0.0655319i | 0.0208870 | + | 0.00469284i | ||||
\(196\) | 6.03556 | − | 4.38509i | 0.431111 | − | 0.313221i | ||||
\(197\) | 19.5607 | + | 12.7029i | 1.39364 | + | 0.905042i | 0.999899 | − | 0.0141783i | \(-0.00451326\pi\) |
0.393743 | + | 0.919220i | \(0.371180\pi\) | |||||||
\(198\) | −9.53077 | + | 21.4065i | −0.677322 | + | 1.52129i | ||||
\(199\) | 0.904427 | − | 0.402677i | 0.0641131 | − | 0.0285450i | −0.374430 | − | 0.927255i | \(-0.622161\pi\) |
0.438543 | + | 0.898710i | \(0.355495\pi\) | |||||||
\(200\) | 6.84240 | + | 3.48637i | 0.483830 | + | 0.246524i | ||||
\(201\) | 2.90379 | + | 1.11466i | 0.204818 | + | 0.0786221i | ||||
\(202\) | −11.6351 | − | 4.46628i | −0.818640 | − | 0.314246i | ||||
\(203\) | 2.80566 | + | 1.42955i | 0.196919 | + | 0.100335i | ||||
\(204\) | −0.809663 | + | 0.360485i | −0.0566878 | + | 0.0252390i | ||||
\(205\) | −0.405658 | + | 0.911123i | −0.0283324 | + | 0.0636356i | ||||
\(206\) | −7.98866 | − | 5.18790i | −0.556597 | − | 0.361458i | ||||
\(207\) | 1.79303 | − | 1.30271i | 0.124624 | − | 0.0905448i | ||||
\(208\) | −15.1874 | + | 9.61489i | −1.05306 | + | 0.666673i | ||||
\(209\) | −4.05887 | + | 1.31881i | −0.280758 | + | 0.0912238i | ||||
\(210\) | 0.0720638 | + | 0.0467988i | 0.00497288 | + | 0.00322942i | ||||
\(211\) | 10.5252 | + | 18.2302i | 0.724586 | + | 1.25502i | 0.959144 | + | 0.282917i | \(0.0913021\pi\) |
−0.234559 | + | 0.972102i | \(0.575365\pi\) | |||||||
\(212\) | −5.37849 | + | 9.31581i | −0.369396 | + | 0.639813i | ||||
\(213\) | 3.51675 | − | 1.79187i | 0.240964 | − | 0.122777i | ||||
\(214\) | 8.90852 | − | 23.2075i | 0.608974 | − | 1.58643i | ||||
\(215\) | 1.86685 | + | 1.51175i | 0.127318 | + | 0.103100i | ||||
\(216\) | −2.27447 | + | 2.27447i | −0.154758 | + | 0.154758i | ||||
\(217\) | −1.86341 | + | 2.68259i | −0.126496 | + | 0.182106i | ||||
\(218\) | −17.2837 | + | 9.97875i | −1.17060 | + | 0.675846i | ||||
\(219\) | −0.346283 | − | 0.902097i | −0.0233996 | − | 0.0609581i | ||||
\(220\) | 0.983814 | + | 0.714783i | 0.0663287 | + | 0.0481906i | ||||
\(221\) | −3.58833 | − | 7.24857i | −0.241377 | − | 0.487592i | ||||
\(222\) | 3.68144 | 0.247082 | ||||||||
\(223\) | 2.72651 | − | 10.1755i | 0.182581 | − | 0.681401i | −0.812555 | − | 0.582885i | \(-0.801924\pi\) |
0.995135 | − | 0.0985157i | \(-0.0314095\pi\) | |||||||
\(224\) | −3.27139 | + | 0.695354i | −0.218579 | + | 0.0464603i | ||||
\(225\) | 2.95643 | − | 13.9089i | 0.197096 | − | 0.927262i | ||||
\(226\) | −18.0037 | − | 9.17332i | −1.19759 | − | 0.610200i | ||||
\(227\) | −22.8177 | − | 18.4774i | −1.51447 | − | 1.22639i | −0.898781 | − | 0.438399i | \(-0.855546\pi\) |
−0.615686 | − | 0.787992i | \(-0.711121\pi\) | |||||||
\(228\) | 0.365070 | + | 0.0191325i | 0.0241773 | + | 0.00126708i | ||||
\(229\) | −3.57882 | + | 22.5958i | −0.236495 | + | 1.49317i | 0.528389 | + | 0.849002i | \(0.322796\pi\) |
−0.764884 | + | 0.644168i | \(0.777204\pi\) | |||||||
\(230\) | −0.130258 | − | 0.292564i | −0.00858895 | − | 0.0192911i | ||||
\(231\) | 0.708780 | + | 0.638189i | 0.0466343 | + | 0.0419897i | ||||
\(232\) | 5.24618 | + | 6.47850i | 0.344429 | + | 0.425334i | ||||
\(233\) | 4.14367 | − | 5.70328i | 0.271461 | − | 0.373634i | −0.651421 | − | 0.758716i | \(-0.725827\pi\) |
0.922882 | + | 0.385082i | \(0.125827\pi\) | |||||||
\(234\) | 13.4697 | + | 12.4133i | 0.880543 | + | 0.811483i | ||||
\(235\) | −0.446642 | − | 0.324504i | −0.0291357 | − | 0.0211683i | ||||
\(236\) | −13.7006 | + | 5.25918i | −0.891835 | + | 0.342343i | ||||
\(237\) | 2.11366 | − | 0.449272i | 0.137297 | − | 0.0291834i | ||||
\(238\) | −0.243008 | − | 2.31207i | −0.0157519 | − | 0.149869i | ||||
\(239\) | 4.16327 | − | 8.17089i | 0.269300 | − | 0.528531i | −0.716265 | − | 0.697828i | \(-0.754150\pi\) |
0.985565 | + | 0.169298i | \(0.0541499\pi\) | |||||||
\(240\) | 0.225125 | + | 0.346662i | 0.0145318 | + | 0.0223769i | ||||
\(241\) | −25.5957 | − | 1.34141i | −1.64876 | − | 0.0864081i | −0.794844 | − | 0.606813i | \(-0.792448\pi\) |
−0.853919 | + | 0.520405i | \(0.825781\pi\) | |||||||
\(242\) | 12.8340 | + | 12.8340i | 0.825003 | + | 0.825003i | ||||
\(243\) | 7.79164 | + | 4.49851i | 0.499834 | + | 0.288579i | ||||
\(244\) | −2.59336 | + | 0.551235i | −0.166023 | + | 0.0352892i | ||||
\(245\) | 1.21669 | − | 0.985258i | 0.0777316 | − | 0.0629458i | ||||
\(246\) | 2.13604 | − | 1.55192i | 0.136189 | − | 0.0989470i | ||||
\(247\) | −0.0385913 | + | 3.33593i | −0.00245551 | + | 0.212260i | ||||
\(248\) | −7.39525 | + | 4.48137i | −0.469599 | + | 0.284567i | ||||
\(249\) | −0.986140 | − | 0.264235i | −0.0624941 | − | 0.0167452i | ||||
\(250\) | −3.77514 | − | 1.68080i | −0.238761 | − | 0.106303i | ||||
\(251\) | 26.0008 | − | 11.5763i | 1.64116 | − | 0.730690i | 0.641812 | − | 0.766862i | \(-0.278183\pi\) |
0.999346 | + | 0.0361716i | \(0.0115163\pi\) | |||||||
\(252\) | 0.858473 | + | 1.68485i | 0.0540787 | + | 0.106136i | ||||
\(253\) | −0.920024 | − | 3.43358i | −0.0578414 | − | 0.215867i | ||||
\(254\) | 4.08296 | + | 15.2378i | 0.256188 | + | 0.956105i | ||||
\(255\) | −0.165719 | + | 0.0844382i | −0.0103778 | + | 0.00528773i | ||||
\(256\) | −19.5924 | − | 4.16449i | −1.22452 | − | 0.260281i | ||||
\(257\) | 0.445047 | + | 0.400722i | 0.0277613 | + | 0.0249964i | 0.682895 | − | 0.730517i | \(-0.260721\pi\) |
−0.655133 | + | 0.755513i | \(0.727388\pi\) | |||||||
\(258\) | −2.27899 | − | 5.93697i | −0.141884 | − | 0.369619i | ||||
\(259\) | −1.07175 | + | 3.29850i | −0.0665952 | + | 0.204959i | ||||
\(260\) | 0.775471 | − | 0.549821i | 0.0480927 | − | 0.0340984i | ||||
\(261\) | 9.07303 | − | 12.4879i | 0.561606 | − | 0.772985i | ||||
\(262\) | 0.668634 | + | 12.7583i | 0.0413084 | + | 0.788211i | ||||
\(263\) | 4.70410 | + | 0.494421i | 0.290067 | + | 0.0304873i | 0.248445 | − | 0.968646i | \(-0.420081\pi\) |
0.0416226 | + | 0.999133i | \(0.486747\pi\) | |||||||
\(264\) | 1.02700 | + | 2.30667i | 0.0632073 | + | 0.141966i | ||||
\(265\) | −1.02484 | + | 2.01136i | −0.0629553 | + | 0.123557i | ||||
\(266\) | −0.343648 | + | 0.895233i | −0.0210704 | + | 0.0548902i | ||||
\(267\) | −0.985070 | + | 1.21646i | −0.0602853 | + | 0.0744461i | ||||
\(268\) | 8.81271 | − | 4.49030i | 0.538322 | − | 0.274289i | ||||
\(269\) | 14.2851 | − | 1.50143i | 0.870980 | − | 0.0915437i | 0.341516 | − | 0.939876i | \(-0.389060\pi\) |
0.529464 | + | 0.848332i | \(0.322393\pi\) | |||||||
\(270\) | 0.575875 | − | 0.639574i | 0.0350466 | − | 0.0389232i | ||||
\(271\) | −0.670142 | − | 12.7871i | −0.0407082 | − | 0.776759i | −0.940366 | − | 0.340164i | \(-0.889518\pi\) |
0.899658 | − | 0.436595i | \(-0.143816\pi\) | |||||||
\(272\) | 3.45588 | − | 10.6361i | 0.209543 | − | 0.644908i | ||||
\(273\) | 0.649947 | − | 0.365288i | 0.0393366 | − | 0.0221083i | ||||
\(274\) | 13.8827i | 0.838687i | ||||||||
\(275\) | −19.1273 | − | 12.4214i | −1.15342 | − | 0.749039i | ||||
\(276\) | −0.0318281 | + | 0.302824i | −0.00191582 | + | 0.0182279i | ||||
\(277\) | −0.578648 | − | 5.50547i | −0.0347676 | − | 0.330792i | −0.998056 | − | 0.0623230i | \(-0.980149\pi\) |
0.963288 | − | 0.268469i | \(-0.0865176\pi\) | |||||||
\(278\) | 10.6927 | + | 10.6927i | 0.641305 | + | 0.641305i | ||||
\(279\) | 11.5594 | + | 11.0792i | 0.692042 | + | 0.663296i | ||||
\(280\) | −0.207005 | + | 0.0554667i | −0.0123709 | + | 0.00331477i | ||||
\(281\) | 3.69920 | + | 0.585895i | 0.220676 | + | 0.0349516i | 0.265793 | − | 0.964030i | \(-0.414366\pi\) |
−0.0451175 | + | 0.998982i | \(0.514366\pi\) | |||||||
\(282\) | 0.594456 | + | 1.33517i | 0.0353994 | + | 0.0795083i | ||||
\(283\) | −3.11069 | − | 14.6346i | −0.184911 | − | 0.869939i | −0.968569 | − | 0.248746i | \(-0.919982\pi\) |
0.783658 | − | 0.621193i | \(-0.213352\pi\) | |||||||
\(284\) | 3.24841 | − | 12.1232i | 0.192758 | − | 0.719382i | ||||
\(285\) | 0.0767167 | 0.00454430 | ||||||||
\(286\) | 26.3293 | − | 13.0340i | 1.55688 | − | 0.770717i | ||||
\(287\) | 0.768647 | + | 2.36565i | 0.0453718 | + | 0.139640i | ||||
\(288\) | 0.858039 | + | 16.3724i | 0.0505604 | + | 0.964751i | ||||
\(289\) | −10.9332 | − | 4.86776i | −0.643128 | − | 0.286339i | ||||
\(290\) | −1.49247 | − | 1.65755i | −0.0876407 | − | 0.0973349i | ||||
\(291\) | 6.46717 | + | 1.02430i | 0.379112 | + | 0.0600455i | ||||
\(292\) | −2.86859 | − | 1.10115i | −0.167871 | − | 0.0644398i | ||||
\(293\) | 7.95194 | + | 12.2449i | 0.464557 | + | 0.715355i | 0.990853 | − | 0.134946i | \(-0.0430862\pi\) |
−0.526296 | + | 0.850302i | \(0.676420\pi\) | |||||||
\(294\) | −4.09358 | + | 0.648359i | −0.238742 | + | 0.0378131i | ||||
\(295\) | −2.81344 | + | 1.25262i | −0.163805 | + | 0.0729305i | ||||
\(296\) | −6.14383 | + | 6.82341i | −0.357103 | + | 0.396603i | ||||
\(297\) | 7.42390 | − | 6.01176i | 0.430779 | − | 0.348838i | ||||
\(298\) | 14.7063 | + | 20.2414i | 0.851911 | + | 1.17255i | ||||
\(299\) | −2.77308 | − | 0.177518i | −0.160371 | − | 0.0102662i | ||||
\(300\) | 1.14830 | + | 1.58049i | 0.0662969 | + | 0.0912498i | ||||
\(301\) | 5.98287 | − | 0.313549i | 0.344847 | − | 0.0180727i | ||||
\(302\) | 19.4599 | + | 17.5218i | 1.11979 | + | 1.00826i | ||||
\(303\) | 1.66391 | + | 1.84796i | 0.0955894 | + | 0.106163i | ||||
\(304\) | −3.26181 | + | 3.26181i | −0.187077 | + | 0.187077i | ||||
\(305\) | −0.537428 | + | 0.144003i | −0.0307730 | + | 0.00824561i | ||||
\(306\) | −11.3807 | − | 0.596440i | −0.650594 | − | 0.0340962i | ||||
\(307\) | −3.62044 | − | 22.8586i | −0.206630 | − | 1.30461i | −0.844953 | − | 0.534840i | \(-0.820372\pi\) |
0.638324 | − | 0.769768i | \(-0.279628\pi\) | |||||||
\(308\) | 3.01625 | − | 0.317021i | 0.171867 | − | 0.0180639i | ||||
\(309\) | 0.950290 | + | 1.64595i | 0.0540601 | + | 0.0936349i | ||||
\(310\) | 1.91321 | − | 1.30095i | 0.108663 | − | 0.0738891i | ||||
\(311\) | − | 5.38501i | − | 0.305356i | −0.988276 | − | 0.152678i | \(-0.951210\pi\) | ||
0.988276 | − | 0.152678i | \(-0.0487898\pi\) | |||||||
\(312\) | 1.96524 | − | 0.183597i | 0.111260 | − | 0.0103941i | ||||
\(313\) | −10.1712 | + | 13.9995i | −0.574912 | + | 0.791298i | −0.993126 | − | 0.117050i | \(-0.962656\pi\) |
0.418214 | + | 0.908348i | \(0.362656\pi\) | |||||||
\(314\) | 22.2035 | − | 34.1904i | 1.25302 | − | 1.92948i | ||||
\(315\) | 0.198412 | + | 0.343660i | 0.0111793 | + | 0.0193630i | ||||
\(316\) | 3.43570 | − | 5.95081i | 0.193273 | − | 0.334759i | ||||
\(317\) | 7.56090 | + | 14.8391i | 0.424662 | + | 0.833447i | 0.999881 | + | 0.0154470i | \(0.00491712\pi\) |
−0.575218 | + | 0.818000i | \(0.695083\pi\) | |||||||
\(318\) | 5.01193 | − | 3.25478i | 0.281055 | − | 0.182519i | ||||
\(319\) | −13.4839 | − | 20.7634i | −0.754953 | − | 1.16253i | ||||
\(320\) | 0.0233945 | + | 0.00370532i | 0.00130779 | + | 0.000207134i | ||||
\(321\) | −3.68598 | + | 3.31887i | −0.205732 | + | 0.185242i | ||||
\(322\) | −0.729656 | − | 0.324864i | −0.0406622 | − | 0.0181040i | ||||
\(323\) | −1.30624 | − | 1.61307i | −0.0726811 | − | 0.0897536i | ||||
\(324\) | 8.41854 | − | 2.73535i | 0.467697 | − | 0.151964i | ||||
\(325\) | −13.9840 | + | 11.0587i | −0.775694 | + | 0.613425i | ||||
\(326\) | −13.8605 | − | 10.0703i | −0.767664 | − | 0.557741i | ||||
\(327\) | 3.97662 | − | 0.208406i | 0.219908 | − | 0.0115249i | ||||
\(328\) | −0.688330 | + | 6.54902i | −0.0380067 | + | 0.361609i | ||||
\(329\) | −1.36935 | + | 0.143924i | −0.0754946 | + | 0.00793480i | ||||
\(330\) | −0.306708 | − | 0.601949i | −0.0168837 | − | 0.0331362i | ||||
\(331\) | −9.14071 | + | 11.2878i | −0.502419 | + | 0.620436i | −0.963755 | − | 0.266790i | \(-0.914037\pi\) |
0.461336 | + | 0.887226i | \(0.347370\pi\) | |||||||
\(332\) | −2.72271 | + | 1.76815i | −0.149428 | + | 0.0970397i | ||||
\(333\) | 15.1485 | + | 7.71857i | 0.830135 | + | 0.422975i | ||||
\(334\) | 21.9399 | − | 19.7547i | 1.20050 | − | 1.08093i | ||||
\(335\) | 1.79753 | − | 1.03781i | 0.0982098 | − | 0.0567015i | ||||
\(336\) | 0.995764 | + | 0.266814i | 0.0543234 | + | 0.0145559i | ||||
\(337\) | 1.86957 | − | 5.75393i | 0.101842 | − | 0.313437i | −0.887135 | − | 0.461511i | \(-0.847308\pi\) |
0.988976 | + | 0.148074i | \(0.0473075\pi\) | |||||||
\(338\) | −3.06694 | − | 22.7601i | −0.166819 | − | 1.23799i | ||||
\(339\) | 2.36975 | + | 3.26168i | 0.128707 | + | 0.177150i | ||||
\(340\) | −0.153075 | + | 0.571283i | −0.00830164 | + | 0.0309822i | ||||
\(341\) | 23.2337 | − | 10.9404i | 1.25817 | − | 0.592454i | ||||
\(342\) | 4.07094 | + | 2.35036i | 0.220131 | + | 0.127093i | ||||
\(343\) | 1.25321 | − | 7.91245i | 0.0676669 | − | 0.427232i | ||||
\(344\) | 14.8073 | + | 5.68398i | 0.798354 | + | 0.306460i | ||||
\(345\) | −0.00334421 | + | 0.0638114i | −0.000180046 | + | 0.00343549i | ||||
\(346\) | −22.6393 | − | 22.6393i | −1.21710 | − | 1.21710i | ||||
\(347\) | −4.74239 | − | 2.73802i | −0.254585 | − | 0.146985i | 0.367277 | − | 0.930112i | \(-0.380290\pi\) |
−0.621862 | + | 0.783127i | \(0.713623\pi\) | |||||||
\(348\) | 0.440918 | + | 2.07436i | 0.0236357 | + | 0.111197i | ||||
\(349\) | 27.6600 | − | 1.44960i | 1.48061 | − | 0.0775954i | 0.705179 | − | 0.709030i | \(-0.250867\pi\) |
0.775429 | + | 0.631434i | \(0.217533\pi\) | |||||||
\(350\) | −4.87365 | + | 1.58354i | −0.260507 | + | 0.0846440i | ||||
\(351\) | −2.59530 | − | 7.00202i | −0.138527 | − | 0.373740i | ||||
\(352\) | 25.0084 | + | 8.12573i | 1.33295 | + | 0.433103i | ||||
\(353\) | 12.3677 | + | 32.2190i | 0.658267 | + | 1.71484i | 0.698457 | + | 0.715652i | \(0.253870\pi\) |
−0.0401903 | + | 0.999192i | \(0.512796\pi\) | |||||||
\(354\) | 8.10823 | + | 0.852210i | 0.430948 | + | 0.0452944i | ||||
\(355\) | 0.547611 | − | 2.57631i | 0.0290642 | − | 0.136736i | ||||
\(356\) | 0.778650 | + | 4.91621i | 0.0412684 | + | 0.260558i | ||||
\(357\) | −0.166234 | + | 0.433054i | −0.00879803 | + | 0.0229196i | ||||
\(358\) | 16.3461 | − | 10.6153i | 0.863918 | − | 0.561035i | ||||
\(359\) | 1.88947 | + | 11.9296i | 0.0997224 | + | 0.629623i | 0.986035 | + | 0.166536i | \(0.0532582\pi\) |
−0.886313 | + | 0.463087i | \(0.846742\pi\) | |||||||
\(360\) | 0.109812 | + | 1.04479i | 0.00578761 | + | 0.0550654i | ||||
\(361\) | −3.77232 | − | 17.7474i | −0.198543 | − | 0.934072i | ||||
\(362\) | 15.9700 | − | 6.13030i | 0.839363 | − | 0.322201i | ||||
\(363\) | −1.11909 | − | 3.44420i | −0.0587369 | − | 0.180773i | ||||
\(364\) | 0.519715 | − | 2.31316i | 0.0272405 | − | 0.121243i | ||||
\(365\) | −0.613255 | − | 0.199259i | −0.0320992 | − | 0.0104297i | ||||
\(366\) | 1.42274 | + | 0.381222i | 0.0743677 | + | 0.0199268i | ||||
\(367\) | −5.35647 | + | 3.09256i | −0.279605 | + | 0.161430i | −0.633245 | − | 0.773952i | \(-0.718277\pi\) |
0.353639 | + | 0.935382i | \(0.384944\pi\) | |||||||
\(368\) | −2.57092 | − | 2.85529i | −0.134018 | − | 0.148842i | ||||
\(369\) | 12.0433 | − | 1.90746i | 0.626947 | − | 0.0992986i | ||||
\(370\) | 1.54605 | − | 1.90921i | 0.0803751 | − | 0.0992550i | ||||
\(371\) | 1.45714 | + | 5.43813i | 0.0756511 | + | 0.282334i | ||||
\(372\) | −2.19383 | + | 0.161683i | −0.113745 | + | 0.00838287i | ||||
\(373\) | −1.88713 | + | 3.26861i | −0.0977120 | + | 0.169242i | −0.910737 | − | 0.412986i | \(-0.864486\pi\) |
0.813025 | + | 0.582228i | \(0.197819\pi\) | |||||||
\(374\) | −7.43452 | + | 16.6982i | −0.384430 | + | 0.863443i | ||||
\(375\) | 0.518893 | + | 0.640780i | 0.0267955 | + | 0.0330897i | ||||
\(376\) | −3.46676 | − | 1.12642i | −0.178784 | − | 0.0580906i | ||||
\(377\) | −18.7505 | + | 4.79241i | −0.965699 | + | 0.246821i | ||||
\(378\) | − | 2.14642i | − | 0.110400i | ||||||
\(379\) | −14.6638 | + | 22.5803i | −0.753229 | + | 1.15987i | 0.229227 | + | 0.973373i | \(0.426380\pi\) |
−0.982455 | + | 0.186498i | \(0.940286\pi\) | |||||||
\(380\) | 0.163236 | − | 0.181292i | 0.00837382 | − | 0.00930007i | ||||
\(381\) | 0.654427 | − | 3.07883i | 0.0335273 | − | 0.157733i | ||||
\(382\) | −6.79460 | + | 42.8994i | −0.347642 | + | 2.19492i | ||||
\(383\) | −1.13328 | + | 21.6242i | −0.0579078 | + | 1.10495i | 0.802932 | + | 0.596070i | \(0.203272\pi\) |
−0.860840 | + | 0.508876i | \(0.830061\pi\) | |||||||
\(384\) | 3.07468 | + | 2.48983i | 0.156904 | + | 0.127058i | ||||
\(385\) | 0.628624 | − | 0.0995643i | 0.0320377 | − | 0.00507427i | ||||
\(386\) | 1.14962 | + | 0.244360i | 0.0585143 | + | 0.0124376i | ||||
\(387\) | 3.06987 | − | 29.2078i | 0.156050 | − | 1.48472i | ||||
\(388\) | 16.1812 | − | 13.1033i | 0.821478 | − | 0.665220i | ||||
\(389\) | 1.74924 | + | 5.38361i | 0.0886901 | + | 0.272960i | 0.985558 | − | 0.169339i | \(-0.0541631\pi\) |
−0.896868 | + | 0.442299i | \(0.854163\pi\) | |||||||
\(390\) | −0.522530 | + | 0.0765755i | −0.0264593 | + | 0.00387755i | ||||
\(391\) | 1.39866 | − | 1.01619i | 0.0707333 | − | 0.0513908i | ||||
\(392\) | 5.62992 | − | 8.66932i | 0.284354 | − | 0.437867i | ||||
\(393\) | 1.03682 | − | 2.32875i | 0.0523009 | − | 0.117470i | ||||
\(394\) | −40.3028 | − | 8.56663i | −2.03043 | − | 0.431581i | ||||
\(395\) | 0.654652 | − | 1.28483i | 0.0329391 | − | 0.0646467i | ||||
\(396\) | 0.778096 | − | 14.8469i | 0.0391008 | − | 0.746087i | ||||
\(397\) | −6.07261 | + | 1.62715i | −0.304776 | + | 0.0816644i | −0.407966 | − | 0.912997i | \(-0.633762\pi\) |
0.103190 | + | 0.994662i | \(0.467095\pi\) | |||||||
\(398\) | −1.23671 | + | 1.23671i | −0.0619905 | + | 0.0619905i | ||||
\(399\) | 0.142187 | − | 0.128026i | 0.00711827 | − | 0.00640932i | ||||
\(400\) | −24.5161 | − | 2.57674i | −1.22580 | − | 0.128837i | ||||
\(401\) | −18.3978 | + | 7.06224i | −0.918741 | + | 0.352672i | −0.771353 | − | 0.636407i | \(-0.780420\pi\) |
−0.147388 | + | 0.989079i | \(0.547086\pi\) | |||||||
\(402\) | −5.49480 | −0.274056 | ||||||||
\(403\) | −2.29072 | − | 19.9437i | −0.114109 | − | 0.993468i | ||||
\(404\) | 7.90743 | 0.393409 | ||||||||
\(405\) | 1.73421 | − | 0.665699i | 0.0861733 | − | 0.0330788i | ||||
\(406\) | −5.53231 | − | 0.581469i | −0.274564 | − | 0.0288578i | ||||
\(407\) | 20.2645 | − | 18.2463i | 1.00448 | − | 0.904434i | ||||
\(408\) | −0.868346 | + | 0.868346i | −0.0429895 | + | 0.0429895i | ||||
\(409\) | 7.19547 | − | 1.92802i | 0.355793 | − | 0.0953345i | −0.0764951 | − | 0.997070i | \(-0.524373\pi\) |
0.432288 | + | 0.901735i | \(0.357706\pi\) | |||||||
\(410\) | 0.0922115 | − | 1.75950i | 0.00455400 | − | 0.0868955i | ||||
\(411\) | 1.25755 | − | 2.46808i | 0.0620304 | − | 0.121741i | ||||
\(412\) | 5.91161 | + | 1.25655i | 0.291244 | + | 0.0619058i | ||||
\(413\) | −3.12405 | + | 7.01673i | −0.153724 | + | 0.345271i | ||||
\(414\) | −2.13244 | + | 3.28367i | −0.104804 | + | 0.161383i | ||||
\(415\) | −0.551170 | + | 0.400448i | −0.0270559 | + | 0.0196572i | ||||
\(416\) | 12.2737 | − | 16.4888i | 0.601770 | − | 0.808431i | ||||
\(417\) | −0.932369 | − | 2.86954i | −0.0456583 | − | 0.140522i | ||||
\(418\) | 5.85921 | − | 4.74470i | 0.286584 | − | 0.232071i | ||||
\(419\) | −0.503206 | + | 4.78769i | −0.0245832 | + | 0.233894i | 0.975330 | + | 0.220750i | \(0.0708506\pi\) |
−0.999914 | + | 0.0131437i | \(0.995816\pi\) | |||||||
\(420\) | −0.0533272 | − | 0.0113350i | −0.00260210 | − | 0.000553093i | ||||
\(421\) | −1.16007 | + | 0.183738i | −0.0565385 | + | 0.00895482i | −0.184640 | − | 0.982806i | \(-0.559112\pi\) |
0.128101 | + | 0.991761i | \(0.459112\pi\) | |||||||
\(422\) | −28.9002 | − | 23.4030i | −1.40684 | − | 1.13924i | ||||
\(423\) | −0.353248 | + | 6.74037i | −0.0171755 | + | 0.327728i | ||||
\(424\) | −2.33161 | + | 14.7212i | −0.113233 | + | 0.714925i | ||||
\(425\) | 2.30618 | − | 10.8497i | 0.111866 | − | 0.526289i | ||||
\(426\) | −4.66562 | + | 5.18169i | −0.226050 | + | 0.251054i | ||||
\(427\) | −0.755758 | + | 1.16377i | −0.0365737 | + | 0.0563186i | ||||
\(428\) | 15.7723i | 0.762382i | ||||||||
\(429\) | −5.86150 | − | 0.0678081i | −0.282996 | − | 0.00327381i | ||||
\(430\) | −4.03601 | − | 1.31138i | −0.194634 | − | 0.0632403i | ||||
\(431\) | 4.51444 | + | 5.57487i | 0.217453 | + | 0.268532i | 0.874186 | − | 0.485591i | \(-0.161396\pi\) |
−0.656733 | + | 0.754123i | \(0.728062\pi\) | |||||||
\(432\) | 4.19969 | − | 9.43266i | 0.202058 | − | 0.453829i | ||||
\(433\) | −6.43477 | + | 11.1453i | −0.309235 | + | 0.535611i | −0.978195 | − | 0.207687i | \(-0.933406\pi\) |
0.668960 | + | 0.743298i | \(0.266740\pi\) | |||||||
\(434\) | 1.37492 | − | 5.60400i | 0.0659981 | − | 0.269001i | ||||
\(435\) | 0.115184 | + | 0.429874i | 0.00552267 | + | 0.0206109i | ||||
\(436\) | 7.96886 | − | 9.84072i | 0.381639 | − | 0.471285i | ||||
\(437\) | −0.704323 | + | 0.111554i | −0.0336924 | + | 0.00533634i | ||||
\(438\) | 1.14222 | + | 1.26857i | 0.0545775 | + | 0.0606144i | ||||
\(439\) | −4.02768 | + | 2.32538i | −0.192231 | + | 0.110984i | −0.593026 | − | 0.805183i | \(-0.702067\pi\) |
0.400796 | + | 0.916167i | \(0.368734\pi\) | |||||||
\(440\) | 1.62754 | + | 0.436099i | 0.0775901 | + | 0.0207902i | ||||
\(441\) | −18.2038 | − | 5.91477i | −0.866847 | − | 0.281656i | ||||
\(442\) | 10.5071 | + | 9.68306i | 0.499772 | + | 0.460576i | ||||
\(443\) | 8.20216 | + | 25.2436i | 0.389696 | + | 1.19936i | 0.933016 | + | 0.359836i | \(0.117167\pi\) |
−0.543319 | + | 0.839526i | \(0.682833\pi\) | |||||||
\(444\) | −2.18066 | + | 0.837077i | −0.103490 | + | 0.0397259i | ||||
\(445\) | 0.217174 | + | 1.02172i | 0.0102950 | + | 0.0484343i | ||||
\(446\) | 1.94529 | + | 18.5082i | 0.0921120 | + | 0.876387i | ||||
\(447\) | −0.780943 | − | 4.93068i | −0.0369373 | − | 0.233213i | ||||
\(448\) | 0.0495430 | − | 0.0321736i | 0.00234069 | − | 0.00152006i | ||||
\(449\) | −3.55600 | + | 9.26369i | −0.167818 | + | 0.437181i | −0.991538 | − | 0.129816i | \(-0.958561\pi\) |
0.823720 | + | 0.566997i | \(0.191895\pi\) | |||||||
\(450\) | 3.92970 | + | 24.8112i | 0.185248 | + | 1.16961i | ||||
\(451\) | 4.06608 | − | 19.1294i | 0.191464 | − | 0.900769i | ||||
\(452\) | 12.7501 | + | 1.34009i | 0.599713 | + | 0.0630324i | ||||
\(453\) | −1.87240 | − | 4.87778i | −0.0879732 | − | 0.229178i | ||||
\(454\) | 49.3304 | + | 16.0284i | 2.31519 | + | 0.752250i | ||||
\(455\) | 0.0835098 | − | 0.490470i | 0.00391500 | − | 0.0229936i | ||||
\(456\) | 0.481739 | − | 0.156526i | 0.0225595 | − | 0.00733002i | ||||
\(457\) | −21.4412 | + | 1.12369i | −1.00298 | + | 0.0525639i | −0.546747 | − | 0.837298i | \(-0.684134\pi\) |
−0.456231 | + | 0.889861i | \(0.650801\pi\) | |||||||
\(458\) | −8.40280 | − | 39.5321i | −0.392637 | − | 1.84721i | ||||
\(459\) | 4.02358 | + | 2.32301i | 0.187804 | + | 0.108429i | ||||
\(460\) | 0.143679 | + | 0.143679i | 0.00669907 | + | 0.00669907i | ||||
\(461\) | −0.195066 | + | 3.72208i | −0.00908514 | + | 0.173355i | 0.990318 | + | 0.138816i | \(0.0443296\pi\) |
−0.999403 | + | 0.0345389i | \(0.989004\pi\) | |||||||
\(462\) | −1.57300 | − | 0.603817i | −0.0731825 | − | 0.0280921i | ||||
\(463\) | −3.04725 | + | 19.2396i | −0.141618 | + | 0.894138i | 0.809905 | + | 0.586561i | \(0.199518\pi\) |
−0.951523 | + | 0.307578i | \(0.900482\pi\) | |||||||
\(464\) | −23.1746 | − | 13.3798i | −1.07585 | − | 0.621143i | ||||
\(465\) | −0.457977 | + | 0.0579780i | −0.0212382 | + | 0.00268867i | ||||
\(466\) | −3.22330 | + | 12.0295i | −0.149317 | + | 0.557257i | ||||
\(467\) | −6.19295 | − | 8.52386i | −0.286575 | − | 0.394437i | 0.641323 | − | 0.767271i | \(-0.278386\pi\) |
−0.927898 | + | 0.372834i | \(0.878386\pi\) | |||||||
\(468\) | −10.8011 | − | 4.29017i | −0.499283 | − | 0.198313i | ||||
\(469\) | 1.59966 | − | 4.92324i | 0.0738653 | − | 0.227334i | ||||
\(470\) | 0.942071 | + | 0.252427i | 0.0434545 | + | 0.0116436i | ||||
\(471\) | −7.04445 | + | 4.06712i | −0.324591 | + | 0.187403i | ||||
\(472\) | −15.1111 | + | 13.6061i | −0.695544 | + | 0.626271i | ||||
\(473\) | −41.9700 | − | 21.3848i | −1.92978 | − | 0.983274i | ||||
\(474\) | −3.20155 | + | 2.07911i | −0.147052 | + | 0.0954967i | ||||
\(475\) | −2.87928 | + | 3.55561i | −0.132110 | + | 0.163143i | ||||
\(476\) | 0.669656 | + | 1.31427i | 0.0306936 | + | 0.0602397i | ||||
\(477\) | 27.4473 | − | 2.88483i | 1.25673 | − | 0.132087i | ||||
\(478\) | −1.69340 | + | 16.1117i | −0.0774545 | + | 0.736931i | ||||
\(479\) | 3.46144 | − | 0.181406i | 0.158157 | − | 0.00828867i | 0.0269070 | − | 0.999638i | \(-0.491434\pi\) |
0.131250 | + | 0.991349i | \(0.458101\pi\) | |||||||
\(480\) | −0.382409 | − | 0.277837i | −0.0174545 | − | 0.0126815i | ||||
\(481\) | −8.44425 | − | 19.5723i | −0.385024 | − | 0.892421i | ||||
\(482\) | 43.0633 | − | 13.9921i | 1.96148 | − | 0.637323i | ||||
\(483\) | 0.100291 | + | 0.123849i | 0.00456341 | + | 0.00563535i | ||||
\(484\) | −10.5203 | − | 4.68392i | −0.478194 | − | 0.212906i | ||||
\(485\) | 3.24714 | − | 2.92374i | 0.147445 | − | 0.132760i | ||||
\(486\) | −15.6984 | − | 2.48639i | −0.712095 | − | 0.112785i | ||||
\(487\) | 11.9088 | + | 18.3380i | 0.539641 | + | 0.830975i | 0.998339 | − | 0.0576179i | \(-0.0183505\pi\) |
−0.458698 | + | 0.888592i | \(0.651684\pi\) | |||||||
\(488\) | −3.08094 | + | 2.00079i | −0.139468 | + | 0.0905713i | ||||
\(489\) | 1.55193 | + | 3.04584i | 0.0701808 | + | 0.137737i | ||||
\(490\) | −1.38289 | + | 2.39523i | −0.0624724 | + | 0.108205i | ||||
\(491\) | −15.6559 | − | 27.1169i | −0.706542 | − | 1.22377i | −0.966132 | − | 0.258048i | \(-0.916921\pi\) |
0.259589 | − | 0.965719i | \(-0.416413\pi\) | |||||||
\(492\) | −0.912386 | + | 1.40495i | −0.0411335 | + | 0.0633401i | ||||
\(493\) | 7.07746 | − | 9.74128i | 0.318753 | − | 0.438725i | ||||
\(494\) | −2.04830 | − | 5.52625i | −0.0921575 | − | 0.248638i | ||||
\(495\) | − | 3.11997i | − | 0.140232i | ||||||
\(496\) | 17.0070 | − | 21.9372i | 0.763637 | − | 0.985008i | ||||
\(497\) | −3.28444 | − | 5.68881i | −0.147327 | − | 0.255178i | ||||
\(498\) | 1.79369 | − | 0.188524i | 0.0803771 | − | 0.00844798i | ||||
\(499\) | −3.57750 | − | 22.5875i | −0.160151 | − | 1.01115i | −0.928557 | − | 0.371191i | \(-0.878950\pi\) |
0.768406 | − | 0.639963i | \(-0.221050\pi\) | |||||||
\(500\) | 2.61834 | + | 0.137221i | 0.117096 | + | 0.00613672i | ||||
\(501\) | −5.68994 | + | 1.52461i | −0.254208 | + | 0.0681147i | ||||
\(502\) | −35.5533 | + | 35.5533i | −1.58682 | + | 1.58682i | ||||
\(503\) | 0.607587 | + | 0.674794i | 0.0270910 | + | 0.0300876i | 0.756538 | − | 0.653950i | \(-0.226889\pi\) |
−0.729447 | + | 0.684037i | \(0.760223\pi\) | |||||||
\(504\) | 1.94710 | + | 1.75317i | 0.0867305 | + | 0.0780925i | ||||
\(505\) | 1.65713 | − | 0.0868467i | 0.0737415 | − | 0.00386463i | ||||
\(506\) | 3.69113 | + | 5.08041i | 0.164091 | + | 0.225852i | ||||
\(507\) | −1.51645 | + | 4.32411i | −0.0673480 | + | 0.192041i | ||||
\(508\) | −5.88323 | − | 8.09757i | −0.261026 | − | 0.359271i | ||||
\(509\) | 6.14813 | − | 4.97866i | 0.272511 | − | 0.220675i | −0.483317 | − | 0.875446i | \(-0.660568\pi\) |
0.755828 | + | 0.654770i | \(0.227235\pi\) | |||||||
\(510\) | 0.219858 | − | 0.244177i | 0.00973545 | − | 0.0108123i | ||||
\(511\) | −1.46914 | + | 0.654102i | −0.0649908 | + | 0.0289358i | ||||
\(512\) | 12.7774 | − | 2.02375i | 0.564688 | − | 0.0894378i | ||||
\(513\) | −1.04373 | − | 1.60720i | −0.0460818 | − | 0.0709597i | ||||
\(514\) | −0.987694 | − | 0.379140i | −0.0435653 | − | 0.0167232i | ||||
\(515\) | 1.25268 | + | 0.198405i | 0.0551995 | + | 0.00874275i | ||||
\(516\) | 2.69986 | + | 2.99850i | 0.118855 | + | 0.132002i | ||||
\(517\) | 9.88968 | + | 4.40317i | 0.434948 | + | 0.193651i | ||||
\(518\) | −0.320663 | − | 6.11861i | −0.0140891 | − | 0.268836i | ||||
\(519\) | 1.97407 | + | 6.07558i | 0.0866522 | + | 0.266688i | ||||
\(520\) | 0.730103 | − | 1.09628i | 0.0320171 | − | 0.0480752i | ||||
\(521\) | −1.23475 | −0.0540953 | −0.0270477 | − | 0.999634i | \(-0.508611\pi\) | ||||
−0.0270477 | + | 0.999634i | \(0.508611\pi\) | |||||||
\(522\) | −7.05777 | + | 26.3400i | −0.308910 | + | 1.15287i | ||||
\(523\) | −7.69113 | − | 36.1839i | −0.336310 | − | 1.58221i | −0.743415 | − | 0.668831i | \(-0.766795\pi\) |
0.407105 | − | 0.913381i | \(-0.366538\pi\) | |||||||
\(524\) | −3.29701 | − | 7.40520i | −0.144031 | − | 0.323498i | ||||
\(525\) | 1.00988 | + | 0.159950i | 0.0440749 | + | 0.00698078i | ||||
\(526\) | −8.07131 | + | 2.16270i | −0.351926 | + | 0.0942982i | ||||
\(527\) | 9.01695 | + | 8.64241i | 0.392785 | + | 0.376469i | ||||
\(528\) | −5.73126 | − | 5.73126i | −0.249421 | − | 0.249421i | ||||
\(529\) | 2.34207 | + | 22.2833i | 0.101829 | + | 0.968839i | ||||
\(530\) | 0.416851 | − | 3.96607i | 0.0181069 | − | 0.172275i | ||||
\(531\) | 31.5773 | + | 20.5066i | 1.37034 | + | 0.889909i | ||||
\(532\) | − | 0.608418i | − | 0.0263783i | ||||||
\(533\) | −13.1503 | − | 7.79652i | −0.569602 | − | 0.337705i | ||||
\(534\) | 0.854507 | − | 2.62990i | 0.0369781 | − | 0.113807i | ||||
\(535\) | 0.173226 | + | 3.30535i | 0.00748921 | + | 0.142903i | ||||
\(536\) | 9.17008 | − | 10.1844i | 0.396087 | − | 0.439899i | ||||
\(537\) | −3.86759 | + | 0.406500i | −0.166899 | + | 0.0175418i | ||||
\(538\) | −22.6094 | + | 11.5201i | −0.974760 | + | 0.496665i | ||||
\(539\) | −19.3197 | + | 23.8578i | −0.832158 | + | 1.02763i | ||||
\(540\) | −0.195688 | + | 0.509785i | −0.00842108 | + | 0.0219377i | ||||
\(541\) | −11.2447 | + | 22.0689i | −0.483446 | + | 0.948816i | 0.512485 | + | 0.858696i | \(0.328725\pi\) |
−0.995931 | + | 0.0901201i | \(0.971275\pi\) | |||||||
\(542\) | 9.20064 | + | 20.6650i | 0.395201 | + | 0.887636i | ||||
\(543\) | −3.39446 | − | 0.356772i | −0.145670 | − | 0.0153105i | ||||
\(544\) | 0.669317 | + | 12.7713i | 0.0286967 | + | 0.547566i | ||||
\(545\) | 1.56193 | − | 2.14981i | 0.0669057 | − | 0.0920878i | ||||
\(546\) | −0.840671 | + | 1.01393i | −0.0359774 | + | 0.0433923i | ||||
\(547\) | −2.92507 | + | 9.00243i | −0.125067 | + | 0.384916i | −0.993913 | − | 0.110166i | \(-0.964862\pi\) |
0.868846 | + | 0.495082i | \(0.164862\pi\) | |||||||
\(548\) | −3.15662 | − | 8.22328i | −0.134844 | − | 0.351281i | ||||
\(549\) | 5.05507 | + | 4.55160i | 0.215745 | + | 0.194258i | ||||
\(550\) | 39.4098 | + | 8.37682i | 1.68044 | + | 0.357189i | ||||
\(551\) | −4.42524 | + | 2.25477i | −0.188521 | + | 0.0960565i | ||||
\(552\) | 0.109196 | + | 0.407524i | 0.00464768 | + | 0.0173454i | ||||
\(553\) | −0.930803 | − | 3.47380i | −0.0395818 | − | 0.147721i | ||||
\(554\) | 4.43981 | + | 8.71363i | 0.188630 | + | 0.370206i | ||||
\(555\) | −0.447800 | + | 0.199374i | −0.0190081 | + | 0.00846293i | ||||
\(556\) | −8.76497 | − | 3.90242i | −0.371717 | − | 0.165499i | ||||
\(557\) | 14.6975 | + | 3.93819i | 0.622754 | + | 0.166867i | 0.556380 | − | 0.830928i | \(-0.312190\pi\) |
0.0663748 | + | 0.997795i | \(0.478857\pi\) | |||||||
\(558\) | −26.0786 | − | 10.9544i | −1.10400 | − | 0.463737i | ||||
\(559\) | −26.3364 | + | 25.7340i | −1.11391 | + | 1.08843i | ||||
\(560\) | 0.556549 | − | 0.404356i | 0.0235185 | − | 0.0170872i | ||||
\(561\) | 2.83430 | − | 2.29517i | 0.119664 | − | 0.0969021i | ||||
\(562\) | −6.47187 | + | 1.37564i | −0.272999 | + | 0.0580278i | ||||
\(563\) | 3.79094 | + | 2.18870i | 0.159769 | + | 0.0922426i | 0.577753 | − | 0.816212i | \(-0.303930\pi\) |
−0.417984 | + | 0.908454i | \(0.637263\pi\) | |||||||
\(564\) | −0.655707 | − | 0.655707i | −0.0276103 | − | 0.0276103i | ||||
\(565\) | 2.68671 | + | 0.140804i | 0.113031 | + | 0.00592369i | ||||
\(566\) | 14.3954 | + | 22.1670i | 0.605085 | + | 0.931749i | ||||
\(567\) | 2.10326 | − | 4.12788i | 0.0883287 | − | 0.173355i | ||||
\(568\) | −1.81779 | − | 17.2951i | −0.0762727 | − | 0.725686i | ||||
\(569\) | 1.10335 | − | 0.234523i | 0.0462547 | − | 0.00983173i | −0.184726 | − | 0.982790i | \(-0.559140\pi\) |
0.230981 | + | 0.972958i | \(0.425807\pi\) | |||||||
\(570\) | −0.126526 | + | 0.0485687i | −0.00529959 | + | 0.00203432i | ||||
\(571\) | 24.0041 | + | 17.4400i | 1.00454 | + | 0.729840i | 0.963057 | − | 0.269299i | \(-0.0867920\pi\) |
0.0414822 | + | 0.999139i | \(0.486792\pi\) | |||||||
\(572\) | −12.6322 | + | 13.7072i | −0.528179 | + | 0.573128i | ||||
\(573\) | 5.09394 | − | 7.01120i | 0.212802 | − | 0.292897i | ||||
\(574\) | −2.76538 | − | 3.41496i | −0.115425 | − | 0.142537i | ||||
\(575\) | −2.83197 | − | 2.54992i | −0.118101 | − | 0.106339i | ||||
\(576\) | −0.117783 | − | 0.264546i | −0.00490764 | − | 0.0110227i | ||||
\(577\) | 2.11195 | − | 13.3343i | 0.0879216 | − | 0.555115i | −0.903926 | − | 0.427688i | \(-0.859328\pi\) |
0.991848 | − | 0.127427i | \(-0.0406718\pi\) | |||||||
\(578\) | 21.1134 | + | 1.10651i | 0.878203 | + | 0.0460246i | ||||
\(579\) | −0.182246 | − | 0.147580i | −0.00757387 | − | 0.00613320i | ||||
\(580\) | 1.26094 | + | 0.642479i | 0.0523575 | + | 0.0266775i | ||||
\(581\) | −0.353268 | + | 1.66200i | −0.0146560 | + | 0.0689512i | ||||
\(582\) | −11.3145 | + | 2.40498i | −0.469003 | + | 0.0996896i | ||||
\(583\) | 11.4566 | − | 42.7565i | 0.474483 | − | 1.77079i | ||||
\(584\) | −4.25745 | −0.176175 | ||||||||
\(585\) | −2.31068 | − | 0.780449i | −0.0955348 | − | 0.0322676i | ||||
\(586\) | −20.8670 | − | 15.1608i | −0.862007 | − | 0.626285i | ||||
\(587\) | −12.6305 | − | 32.9035i | −0.521315 | − | 1.35807i | −0.901347 | − | 0.433098i | \(-0.857420\pi\) |
0.380032 | − | 0.924973i | \(-0.375913\pi\) | |||||||
\(588\) | 2.27736 | − | 1.31484i | 0.0939168 | − | 0.0542229i | ||||
\(589\) | −1.69551 | − | 4.86475i | −0.0698625 | − | 0.200448i | ||||
\(590\) | 3.84707 | − | 3.84707i | 0.158381 | − | 0.158381i | ||||
\(591\) | 6.38906 | + | 5.17376i | 0.262811 | + | 0.212820i | ||||
\(592\) | 10.5625 | − | 27.5163i | 0.434116 | − | 1.13091i | ||||
\(593\) | 30.1345 | − | 15.3543i | 1.23747 | − | 0.630525i | 0.292062 | − | 0.956399i | \(-0.405659\pi\) |
0.945413 | + | 0.325874i | \(0.105659\pi\) | |||||||
\(594\) | −8.43797 | + | 14.6150i | −0.346214 | + | 0.599660i | ||||
\(595\) | 0.154772 | + | 0.268073i | 0.00634505 | + | 0.0109899i | ||||
\(596\) | −13.3135 | − | 8.64591i | −0.545343 | − | 0.354150i | ||||
\(597\) | 0.331888 | − | 0.107837i | 0.0135833 | − | 0.00441347i | ||||
\(598\) | 4.68592 | − | 1.46284i | 0.191621 | − | 0.0598199i | ||||
\(599\) | 0.807928 | − | 0.586994i | 0.0330110 | − | 0.0239839i | −0.571157 | − | 0.820841i | \(-0.693505\pi\) |
0.604168 | + | 0.796857i | \(0.293505\pi\) | |||||||
\(600\) | 2.27018 | + | 1.47427i | 0.0926797 | + | 0.0601869i | ||||
\(601\) | −6.33810 | + | 14.2356i | −0.258537 | + | 0.580683i | −0.995448 | − | 0.0953068i | \(-0.969617\pi\) |
0.736911 | + | 0.675989i | \(0.236283\pi\) | |||||||
\(602\) | −9.66882 | + | 4.30484i | −0.394072 | + | 0.175452i | ||||
\(603\) | −22.6102 | − | 11.5205i | −0.920760 | − | 0.469150i | ||||
\(604\) | −15.5109 | − | 5.95407i | −0.631129 | − | 0.242268i | ||||
\(605\) | −2.25614 | − | 0.866052i | −0.0917252 | − | 0.0352100i | ||||
\(606\) | −3.91416 | − | 1.99437i | −0.159002 | − | 0.0810156i | ||||
\(607\) | −19.0368 | + | 8.47571i | −0.772678 | + | 0.344018i | −0.754914 | − | 0.655824i | \(-0.772321\pi\) |
−0.0177641 | + | 0.999842i | \(0.505655\pi\) | |||||||
\(608\) | 2.14557 | − | 4.81903i | 0.0870143 | − | 0.195437i | ||||
\(609\) | 0.930865 | + | 0.604511i | 0.0377205 | + | 0.0244960i | ||||
\(610\) | 0.795192 | − | 0.577741i | 0.0321964 | − | 0.0233920i | ||||
\(611\) | 5.73489 | − | 6.22295i | 0.232009 | − | 0.251753i | ||||
\(612\) | 6.87687 | − | 2.23443i | 0.277981 | − | 0.0903215i | ||||
\(613\) | 27.0037 | + | 17.5364i | 1.09067 | + | 0.708289i | 0.959114 | − | 0.283020i | \(-0.0913361\pi\) |
0.131556 | + | 0.991309i | \(0.458003\pi\) | |||||||
\(614\) | 20.4427 | + | 35.4077i | 0.824998 | + | 1.42894i | ||||
\(615\) | −0.175775 | + | 0.304452i | −0.00708795 | + | 0.0122767i | ||||
\(616\) | 3.74427 | − | 1.90780i | 0.150861 | − | 0.0768676i | ||||
\(617\) | −7.79777 | + | 20.3139i | −0.313926 | + | 0.817806i | 0.682305 | + | 0.731068i | \(0.260978\pi\) |
−0.996231 | + | 0.0867385i | \(0.972356\pi\) | |||||||
\(618\) | −2.60932 | − | 2.11298i | −0.104962 | − | 0.0849966i | ||||
\(619\) | −12.7018 | + | 12.7018i | −0.510530 | + | 0.510530i | −0.914689 | − | 0.404159i | \(-0.867564\pi\) |
0.404159 | + | 0.914689i | \(0.367564\pi\) | |||||||
\(620\) | −0.837463 | + | 1.20563i | −0.0336333 | + | 0.0484191i | ||||
\(621\) | 1.38234 | − | 0.798092i | 0.0554712 | − | 0.0320263i | ||||
\(622\) | 3.40921 | + | 8.88130i | 0.136697 | + | 0.356108i | ||||
\(623\) | 2.10758 | + | 1.53124i | 0.0844383 | + | 0.0613480i | ||||
\(624\) | −5.67827 | + | 2.81097i | −0.227313 | + | 0.112529i | ||||
\(625\) | −24.1731 | −0.966925 | ||||||||
\(626\) | 7.91205 | − | 29.5282i | 0.316229 | − | 1.18018i | ||||
\(627\) | −1.47145 | + | 0.312766i | −0.0587639 | + | 0.0124907i | ||||
\(628\) | −5.37787 | + | 25.3009i | −0.214600 | + | 1.00962i | ||||
\(629\) | 11.8167 | + | 6.02091i | 0.471162 | + | 0.240069i | ||||
\(630\) | −0.544802 | − | 0.441172i | −0.0217054 | − | 0.0175767i | ||||
\(631\) | 9.46165 | + | 0.495864i | 0.376662 | + | 0.0197400i | 0.239728 | − | 0.970840i | \(-0.422942\pi\) |
0.136934 | + | 0.990580i | \(0.456275\pi\) | |||||||
\(632\) | 1.48940 | − | 9.40371i | 0.0592452 | − | 0.374059i | ||||
\(633\) | 3.01797 | + | 6.77848i | 0.119954 | + | 0.269420i | ||||
\(634\) | −21.8644 | − | 19.6868i | −0.868347 | − | 0.781864i | ||||
\(635\) | −1.32186 | − | 1.63237i | −0.0524566 | − | 0.0647785i | ||||
\(636\) | −2.22869 | + | 3.06753i | −0.0883734 | + | 0.121636i | ||||
\(637\) | 12.8366 | + | 20.2763i | 0.508603 | + | 0.803375i | ||||
\(638\) | 35.3836 | + | 25.7077i | 1.40085 | + | 1.01778i | ||||
\(639\) | −30.0623 | + | 11.5398i | −1.18925 | + | 0.456509i | ||||
\(640\) | 2.58247 | − | 0.548920i | 0.102081 | − | 0.0216980i | ||||
\(641\) | 2.38117 | + | 22.6553i | 0.0940504 | + | 0.894830i | 0.935222 | + | 0.354062i | \(0.115200\pi\) |
−0.841172 | + | 0.540768i | \(0.818134\pi\) | |||||||
\(642\) | 3.97800 | − | 7.80726i | 0.156999 | − | 0.308128i | ||||
\(643\) | 7.71730 | + | 11.8836i | 0.304341 | + | 0.468644i | 0.957442 | − | 0.288627i | \(-0.0931989\pi\) |
−0.653101 | + | 0.757271i | \(0.726532\pi\) | |||||||
\(644\) | 0.506070 | + | 0.0265220i | 0.0199420 | + | 0.00104511i | ||||
\(645\) | 0.598734 | + | 0.598734i | 0.0235751 | + | 0.0235751i | ||||
\(646\) | 3.17555 | + | 1.83341i | 0.124940 | + | 0.0721344i | ||||
\(647\) | −18.4129 | + | 3.91378i | −0.723886 | + | 0.153867i | −0.555097 | − | 0.831786i | \(-0.687319\pi\) |
−0.168789 | + | 0.985652i | \(0.553986\pi\) | |||||||
\(648\) | 9.53162 | − | 7.71855i | 0.374437 | − | 0.303213i | ||||
\(649\) | 48.8557 | − | 35.4957i | 1.91775 | − | 1.39333i | ||||
\(650\) | 16.0622 | − | 27.0918i | 0.630010 | − | 1.06263i | ||||
\(651\) | −0.752065 | + | 0.871737i | −0.0294757 | + | 0.0341661i | ||||
\(652\) | 10.4999 | + | 2.81343i | 0.411207 | + | 0.110183i | ||||
\(653\) | 36.0148 | + | 16.0348i | 1.40937 | + | 0.627491i | 0.963525 | − | 0.267619i | \(-0.0862370\pi\) |
0.445844 | + | 0.895111i | \(0.352904\pi\) | |||||||
\(654\) | −6.42655 | + | 2.86128i | −0.251298 | + | 0.111885i | ||||
\(655\) | −0.772275 | − | 1.51567i | −0.0301753 | − | 0.0592223i | ||||
\(656\) | −5.47101 | − | 20.4181i | −0.213607 | − | 0.797193i | ||||
\(657\) | 2.04037 | + | 7.61475i | 0.0796023 | + | 0.297080i | ||||
\(658\) | 2.16730 | − | 1.10429i | 0.0844900 | − | 0.0430498i | ||||
\(659\) | 25.7899 | + | 5.48181i | 1.00463 | + | 0.213541i | 0.680718 | − | 0.732546i | \(-0.261668\pi\) |
0.323913 | + | 0.946087i | \(0.395001\pi\) | |||||||
\(660\) | 0.318545 | + | 0.286819i | 0.0123993 | + | 0.0111644i | ||||
\(661\) | −8.40888 | − | 21.9059i | −0.327067 | − | 0.852040i | −0.994244 | − | 0.107140i | \(-0.965831\pi\) |
0.667177 | − | 0.744900i | \(-0.267503\pi\) | |||||||
\(662\) | 7.92919 | − | 24.4035i | 0.308177 | − | 0.948470i | ||||
\(663\) | −0.990833 | − | 2.67323i | −0.0384808 | − | 0.103820i | ||||
\(664\) | −2.64400 | + | 3.63916i | −0.102607 | + | 0.141227i | ||||
\(665\) | −0.00668222 | − | 0.127504i | −0.000259125 | − | 0.00494441i | ||||
\(666\) | −29.8705 | − | 3.13952i | −1.15746 | − | 0.121654i | ||||
\(667\) | −1.68257 | − | 3.77911i | −0.0651494 | − | 0.146328i | ||||
\(668\) | −8.50404 | + | 16.6901i | −0.329031 | + | 0.645760i | ||||
\(669\) | 1.33070 | − | 3.46660i | 0.0514480 | − | 0.134027i | ||||
\(670\) | −2.30758 | + | 2.84962i | −0.0891495 | + | 0.110091i | ||||
\(671\) | 9.72092 | − | 4.95306i | 0.375272 | − | 0.191211i | ||||
\(672\) | −1.17242 | + | 0.123226i | −0.0452271 | + | 0.00475356i | ||||
\(673\) | −5.60251 | + | 6.22222i | −0.215961 | + | 0.239849i | −0.841385 | − | 0.540436i | \(-0.818259\pi\) |
0.625424 | + | 0.780285i | \(0.284926\pi\) | |||||||
\(674\) | 0.559366 | + | 10.6733i | 0.0215460 | + | 0.411122i | ||||
\(675\) | 3.16464 | − | 9.73977i | 0.121807 | − | 0.374884i | ||||
\(676\) | 6.99179 | + | 12.7843i | 0.268915 | + | 0.491705i | ||||
\(677\) | 44.0169i | 1.69171i | 0.533416 | + | 0.845853i | \(0.320908\pi\) | ||||
−0.533416 | + | 0.845853i | \(0.679092\pi\) | |||||||
\(678\) | −5.97328 | − | 3.87909i | −0.229402 | − | 0.148976i | ||||
\(679\) | 1.13909 | − | 10.8378i | 0.0437144 | − | 0.415915i | ||||
\(680\) | 0.0856595 | + | 0.814996i | 0.00328489 | + | 0.0312537i | ||||
\(681\) | −7.31807 | − | 7.31807i | −0.280429 | − | 0.280429i | ||||
\(682\) | −31.3921 | + | 32.7526i | −1.20207 | + | 1.25416i | ||||
\(683\) | 19.8992 | − | 5.33199i | 0.761423 | − | 0.204023i | 0.142844 | − | 0.989745i | \(-0.454375\pi\) |
0.618579 | + | 0.785722i | \(0.287709\pi\) | |||||||
\(684\) | −2.94579 | − | 0.466567i | −0.112635 | − | 0.0178397i | ||||
\(685\) | −0.751839 | − | 1.68866i | −0.0287263 | − | 0.0645203i | ||||
\(686\) | 2.94244 | + | 13.8431i | 0.112343 | + | 0.528532i | ||||
\(687\) | −2.08711 | + | 7.78919i | −0.0796281 | + | 0.297176i | ||||
\(688\) | −50.9134 | −1.94106 | ||||||||
\(689\) | −28.8000 | − | 19.1802i | −1.09719 | − | 0.730708i | ||||
\(690\) | −0.0348830 | − | 0.107359i | −0.00132797 | − | 0.00408708i | ||||
\(691\) | 0.368917 | + | 7.03936i | 0.0140343 | + | 0.267790i | 0.996630 | + | 0.0820315i | \(0.0261408\pi\) |
−0.982595 | + | 0.185758i | \(0.940526\pi\) | |||||||
\(692\) | 18.5578 | + | 8.26246i | 0.705461 | + | 0.314092i | ||||
\(693\) | −5.20666 | − | 5.78259i | −0.197785 | − | 0.219662i | ||||
\(694\) | 9.55487 | + | 1.51334i | 0.362698 | + | 0.0574457i | ||||
\(695\) | −1.87971 | − | 0.721552i | −0.0713013 | − | 0.0273700i | ||||
\(696\) | 1.60037 | + | 2.46436i | 0.0606621 | + | 0.0934114i | ||||
\(697\) | 9.39440 | − | 1.48793i | 0.355838 | − | 0.0563592i | ||||
\(698\) | −44.7009 | + | 19.9021i | −1.69196 | + | 0.753307i | ||||
\(699\) | 1.66272 | − | 1.84664i | 0.0628898 | − | 0.0698462i | ||||
\(700\) | 2.52679 | − | 2.04615i | 0.0955035 | − | 0.0773372i | ||||
\(701\) | 0.852298 | + | 1.17309i | 0.0321909 | + | 0.0443069i | 0.824809 | − | 0.565411i | \(-0.191283\pi\) |
−0.792618 | + | 0.609718i | \(0.791283\pi\) | |||||||
\(702\) | 8.71326 | + | 9.90511i | 0.328861 | + | 0.373844i | ||||
\(703\) | −3.21537 | − | 4.42558i | −0.121270 | − | 0.166914i | ||||
\(704\) | −0.463819 | + | 0.0243077i | −0.0174808 | + | 0.000916131i | ||||
\(705\) | −0.144616 | − | 0.130213i | −0.00544656 | − | 0.00490410i | ||||
\(706\) | −40.7952 | − | 45.3077i | −1.53535 | − | 1.70518i | ||||
\(707\) | 2.92642 | − | 2.92642i | 0.110059 | − | 0.110059i | ||||
\(708\) | −4.99659 | + | 1.33883i | −0.187783 | + | 0.0503164i | ||||
\(709\) | 42.4891 | + | 2.22676i | 1.59571 | + | 0.0836278i | 0.829331 | − | 0.558757i | \(-0.188722\pi\) |
0.766382 | + | 0.642385i | \(0.222055\pi\) | |||||||
\(710\) | 0.727887 | + | 4.59570i | 0.0273171 | + | 0.172473i | ||||
\(711\) | −17.5330 | + | 1.84279i | −0.657538 | + | 0.0691100i | ||||
\(712\) | 3.44837 | + | 5.97275i | 0.129233 | + | 0.223838i | ||||
\(713\) | 4.12031 | − | 1.19823i | 0.154307 | − | 0.0448742i | ||||
\(714\) | − | 0.819461i | − | 0.0306676i | ||||||
\(715\) | −2.49674 | + | 3.01132i | −0.0933729 | + | 0.112617i | ||||
\(716\) | −7.26875 | + | 10.0046i | −0.271646 | + | 0.373888i | ||||
\(717\) | 1.76051 | − | 2.71095i | 0.0657474 | − | 0.101242i | ||||
\(718\) | −10.6688 | − | 18.4789i | −0.398156 | − | 0.689627i | ||||
\(719\) | −21.5234 | + | 37.2796i | −0.802686 | + | 1.39029i | 0.115155 | + | 0.993347i | \(0.463263\pi\) |
−0.917842 | + | 0.396946i | \(0.870070\pi\) | |||||||
\(720\) | −1.53099 | − | 3.00473i | −0.0570566 | − | 0.111980i | ||||
\(721\) | 2.65282 | − | 1.72276i | 0.0987963 | − | 0.0641591i | ||||
\(722\) | 17.4573 | + | 26.8818i | 0.649692 | + | 1.00044i | ||||
\(723\) | −8.92327 | − | 1.41331i | −0.331860 | − | 0.0525614i | ||||
\(724\) | −8.06574 | + | 7.26242i | −0.299761 | + | 0.269906i | ||||
\(725\) | −24.2465 | − | 10.7952i | −0.900493 | − | 0.400925i | ||||
\(726\) | 4.02616 | + | 4.97190i | 0.149425 | + | 0.184525i | ||||
\(727\) | 2.63664 | − | 0.856697i | 0.0977877 | − | 0.0317731i | −0.259715 | − | 0.965685i | \(-0.583628\pi\) |
0.357502 | + | 0.933912i | \(0.383628\pi\) | |||||||
\(728\) | −0.476319 | − | 3.25027i | −0.0176536 | − | 0.120463i | ||||
\(729\) | −16.6013 | − | 12.0616i | −0.614863 | − | 0.446724i | ||||
\(730\) | 1.13757 | − | 0.0596174i | 0.0421032 | − | 0.00220654i | ||||
\(731\) | 2.39466 | − | 22.7837i | 0.0885699 | − | 0.842686i | ||||
\(732\) | −0.929424 | + | 0.0976864i | −0.0343525 | + | 0.00361059i | ||||
\(733\) | −19.7379 | − | 38.7378i | −0.729036 | − | 1.43081i | −0.895635 | − | 0.444789i | \(-0.853279\pi\) |
0.166599 | − | 0.986025i | \(-0.446721\pi\) | |||||||
\(734\) | 6.87635 | − | 8.49158i | 0.253811 | − | 0.313430i | ||||
\(735\) | 0.462819 | − | 0.300558i | 0.0170713 | − | 0.0110862i | ||||
\(736\) | 3.91484 | + | 1.99471i | 0.144303 | + | 0.0735260i | ||||
\(737\) | −30.2462 | + | 27.2338i | −1.11413 | + | 1.00317i | ||||
\(738\) | −18.6549 | + | 10.7704i | −0.686696 | + | 0.396464i | ||||
\(739\) | −30.4242 | − | 8.15213i | −1.11917 | − | 0.299881i | −0.348623 | − | 0.937263i | \(-0.613351\pi\) |
−0.770548 | + | 0.637382i | \(0.780017\pi\) | |||||||
\(740\) | −0.481672 | + | 1.48243i | −0.0177066 | + | 0.0544954i | ||||
\(741\) | −0.136440 | + | 1.16800i | −0.00501224 | + | 0.0429077i | ||||
\(742\) | −5.84605 | − | 8.04640i | −0.214615 | − | 0.295393i | ||||
\(743\) | −1.68546 | + | 6.29024i | −0.0618337 | + | 0.230766i | −0.989926 | − | 0.141583i | \(-0.954781\pi\) |
0.928093 | + | 0.372349i | \(0.121448\pi\) | |||||||
\(744\) | −2.75755 | + | 1.29849i | −0.101097 | + | 0.0476049i | ||||
\(745\) | −2.88503 | − | 1.66567i | −0.105699 | − | 0.0610256i | ||||
\(746\) | 1.04304 | − | 6.58552i | 0.0381886 | − | 0.241113i | ||||
\(747\) | 7.77601 | + | 2.98493i | 0.284509 | + | 0.109213i | ||||
\(748\) | 0.606957 | − | 11.5814i | 0.0221925 | − | 0.423459i | ||||
\(749\) | 5.83708 | + | 5.83708i | 0.213282 | + | 0.213282i | ||||
\(750\) | −1.26146 | − | 0.728307i | −0.0460621 | − | 0.0265940i | ||||
\(751\) | 7.13104 | + | 33.5489i | 0.260216 | + | 1.22422i | 0.893060 | + | 0.449938i | \(0.148554\pi\) |
−0.632844 | + | 0.774279i | \(0.718113\pi\) | |||||||
\(752\) | 11.6851 | − | 0.612388i | 0.426110 | − | 0.0223315i | ||||
\(753\) | 9.54124 | − | 3.10014i | 0.347702 | − | 0.112975i | ||||
\(754\) | 27.8904 | − | 19.7747i | 1.01571 | − | 0.720153i | ||||
\(755\) | −3.31596 | − | 1.07742i | −0.120680 | − | 0.0392114i | ||||
\(756\) | 0.488048 | + | 1.27141i | 0.0177501 | + | 0.0462407i | ||||
\(757\) | 0.486541 | + | 0.0511375i | 0.0176836 | + | 0.00185862i | 0.113366 | − | 0.993553i | \(-0.463837\pi\) |
−0.0956825 | + | 0.995412i | \(0.530503\pi\) | |||||||
\(758\) | 9.88905 | − | 46.5243i | 0.359187 | − | 1.68984i | ||||
\(759\) | −0.196009 | − | 1.23755i | −0.00711469 | − | 0.0449204i | ||||
\(760\) | 0.121134 | − | 0.315566i | 0.00439401 | − | 0.0114468i | ||||
\(761\) | −15.9708 | + | 10.3715i | −0.578940 | + | 0.375968i | −0.800639 | − | 0.599147i | \(-0.795507\pi\) |
0.221699 | + | 0.975115i | \(0.428840\pi\) | |||||||
\(762\) | 0.869866 | + | 5.49212i | 0.0315119 | + | 0.198958i | ||||
\(763\) | −0.692747 | − | 6.59105i | −0.0250791 | − | 0.238612i | ||||
\(764\) | −5.72966 | − | 26.9559i | −0.207292 | − | 0.975231i | ||||
\(765\) | 1.41662 | − | 0.543791i | 0.0512181 | − | 0.0196608i | ||||
\(766\) | −11.8211 | − | 36.3815i | −0.427112 | − | 1.31452i | ||||
\(767\) | −14.0674 | − | 45.0620i | −0.507943 | − | 1.62710i | ||||
\(768\) | −6.71476 | − | 2.18176i | −0.242298 | − | 0.0787274i | ||||
\(769\) | −10.0072 | − | 2.68142i | −0.360869 | − | 0.0966946i | 0.0738287 | − | 0.997271i | \(-0.476478\pi\) |
−0.434698 | + | 0.900576i | \(0.643145\pi\) | |||||||
\(770\) | −0.973733 | + | 0.562185i | −0.0350909 | + | 0.0202597i | ||||
\(771\) | 0.141249 | + | 0.156873i | 0.00508695 | + | 0.00564963i | ||||
\(772\) | −0.736528 | + | 0.116655i | −0.0265082 | + | 0.00419849i | ||||
\(773\) | −3.28724 | + | 4.05941i | −0.118234 | + | 0.146007i | −0.832826 | − | 0.553534i | \(-0.813279\pi\) |
0.714592 | + | 0.699541i | \(0.246612\pi\) | |||||||
\(774\) | 13.4282 | + | 50.1149i | 0.482668 | + | 1.80134i | ||||
\(775\) | 14.5014 | − | 23.4020i | 0.520904 | − | 0.840625i | ||||
\(776\) | 14.4249 | − | 24.9847i | 0.517824 | − | 0.896897i | ||||
\(777\) | −0.497239 | + | 1.11682i | −0.0178384 | + | 0.0400656i | ||||
\(778\) | −6.29328 | − | 7.77156i | −0.225625 | − | 0.278624i | ||||
\(779\) | −3.73124 | − | 1.21235i | −0.133685 | − | 0.0434370i | ||||
\(780\) | 0.292103 | − | 0.164170i | 0.0104590 | − | 0.00587824i | ||||
\(781\) | 51.6468i | 1.84807i | ||||||||
\(782\) | −1.66342 | + | 2.56144i | −0.0594837 | + | 0.0915969i | ||||
\(783\) | 7.43871 | − | 8.26152i | 0.265838 | − | 0.295243i | ||||
\(784\) | −6.89893 | + | 32.4569i | −0.246390 | + | 1.15918i | ||||
\(785\) | −0.849145 | + | 5.36129i | −0.0303073 | + | 0.191353i | ||||
\(786\) | −0.235684 | + | 4.49712i | −0.00840657 | + | 0.160407i | ||||
\(787\) | −2.89431 | − | 2.34376i | −0.103171 | − | 0.0835461i | 0.576347 | − | 0.817205i | \(-0.304478\pi\) |
−0.679518 | + | 0.733659i | \(0.737811\pi\) | |||||||
\(788\) | 25.8208 | − | 4.08961i | 0.919827 | − | 0.145686i | ||||
\(789\) | 1.63083 | + | 0.346643i | 0.0580590 | + | 0.0123408i | ||||
\(790\) | −0.266279 | + | 2.53347i | −0.00947377 | + | 0.0901369i | ||||
\(791\) | 5.21455 | − | 4.22266i | 0.185408 | − | 0.150140i | ||||
\(792\) | −6.36574 | − | 19.5917i | −0.226197 | − | 0.696162i | ||||
\(793\) | −1.23662 | − | 8.43839i | −0.0439138 | − | 0.299656i | ||||
\(794\) | 8.98519 | − | 6.52812i | 0.318872 | − | 0.231674i | ||||
\(795\) | −0.433370 | + | 0.667331i | −0.0153700 | + | 0.0236678i | ||||
\(796\) | 0.451349 | − | 1.01375i | 0.0159977 | − | 0.0359313i | ||||
\(797\) | 21.7604 | + | 4.62532i | 0.770794 | + | 0.163837i | 0.576490 | − | 0.817104i | \(-0.304422\pi\) |
0.194304 | + | 0.980941i | \(0.437755\pi\) | |||||||
\(798\) | −0.153452 | + | 0.301166i | −0.00543214 | + | 0.0106612i | ||||
\(799\) | −0.275552 | + | 5.25785i | −0.00974834 | + | 0.186009i | ||||
\(800\) | 27.2293 | − | 7.29607i | 0.962701 | − | 0.257955i | ||||
\(801\) | 9.03006 | − | 9.03006i | 0.319061 | − | 0.319061i | ||||
\(802\) | 25.8717 | − | 23.2950i | 0.913561 | − | 0.822574i | ||||
\(803\) | 12.5747 | + | 1.32166i | 0.443753 | + | 0.0466403i | ||||
\(804\) | 3.25478 | − | 1.24939i | 0.114787 | − | 0.0440627i | ||||
\(805\) | 0.106347 | 0.00374823 | ||||||||
\(806\) | 16.4042 | + | 31.4422i | 0.577814 | + | 1.10750i | ||||
\(807\) | 5.06304 | 0.178227 | ||||||||
\(808\) | 10.2287 | − | 3.92643i | 0.359844 | − | 0.138131i | ||||
\(809\) | −17.3263 | − | 1.82107i | −0.609162 | − | 0.0640255i | −0.205075 | − | 0.978746i | \(-0.565744\pi\) |
−0.404086 | + | 0.914721i | \(0.632411\pi\) | |||||||
\(810\) | −2.43871 | + | 2.19582i | −0.0856875 | + | 0.0771534i | ||||
\(811\) | −3.43514 | + | 3.43514i | −0.120624 | + | 0.120624i | −0.764842 | − | 0.644218i | \(-0.777183\pi\) |
0.644218 | + | 0.764842i | \(0.277183\pi\) | |||||||
\(812\) | 3.40921 | − | 0.913495i | 0.119640 | − | 0.0320574i | ||||
\(813\) | 0.236215 | − | 4.50726i | 0.00828443 | − | 0.158076i | ||||
\(814\) | −21.8700 | + | 42.9222i | −0.766542 | + | 1.50442i | ||||
\(815\) | 2.23133 | + | 0.474283i | 0.0781599 | + | 0.0166134i | ||||
\(816\) | 1.60336 | − | 3.60120i | 0.0561288 | − | 0.126067i | ||||
\(817\) | −5.14655 | + | 7.92499i | −0.180055 | + | 0.277260i | ||||
\(818\) | −10.6466 | + | 7.73521i | −0.372250 | + | 0.270455i | ||||
\(819\) | −5.58506 | + | 2.40961i | −0.195158 | + | 0.0841985i | ||||
\(820\) | 0.345450 | + | 1.06319i | 0.0120636 | + | 0.0371281i | ||||
\(821\) | −31.8946 | + | 25.8277i | −1.11313 | + | 0.901395i | −0.995787 | − | 0.0916968i | \(-0.970771\pi\) |
−0.117343 | + | 0.993091i | \(0.537438\pi\) | |||||||
\(822\) | −0.511507 | + | 4.86666i | −0.0178408 | + | 0.169744i | ||||
\(823\) | 38.8365 | + | 8.25496i | 1.35376 | + | 0.287750i | 0.826969 | − | 0.562247i | \(-0.190063\pi\) |
0.526787 | + | 0.849997i | \(0.323396\pi\) | |||||||
\(824\) | 8.27093 | − | 1.30999i | 0.288132 | − | 0.0456356i | ||||
\(825\) | −6.24750 | − | 5.05912i | −0.217510 | − | 0.176136i | ||||
\(826\) | 0.710138 | − | 13.5502i | 0.0247089 | − | 0.471473i | ||||
\(827\) | 2.83222 | − | 17.8820i | 0.0984861 | − | 0.621817i | −0.888235 | − | 0.459390i | \(-0.848068\pi\) |
0.986721 | − | 0.162426i | \(-0.0519320\pi\) | |||||||
\(828\) | 0.516494 | − | 2.42991i | 0.0179494 | − | 0.0844453i | ||||
\(829\) | 20.1460 | − | 22.3744i | 0.699701 | − | 0.777096i | −0.283628 | − | 0.958934i | \(-0.591538\pi\) |
0.983329 | + | 0.181838i | \(0.0582046\pi\) | |||||||
\(830\) | 0.655503 | − | 1.00939i | 0.0227528 | − | 0.0350363i | ||||
\(831\) | − | 1.95129i | − | 0.0676894i | ||||||
\(832\) | −0.0980200 | + | 0.349589i | −0.00339823 | + | 0.0121198i | ||||
\(833\) | −14.1999 | − | 4.61384i | −0.491999 | − | 0.159860i | ||||
\(834\) | 3.35440 | + | 4.14234i | 0.116153 | + | 0.143438i | ||||
\(835\) | −1.59886 | + | 3.59109i | −0.0553308 | + | 0.124275i | ||||
\(836\) | −2.39180 | + | 4.14272i | −0.0827222 | + | 0.143279i | ||||
\(837\) | 7.44541 | + | 8.80576i | 0.257351 | + | 0.304372i | ||||
\(838\) | −2.20113 | − | 8.21473i | −0.0760368 | − | 0.283773i | ||||
\(839\) | 18.4427 | − | 22.7748i | 0.636712 | − | 0.786274i | −0.352017 | − | 0.935994i | \(-0.614504\pi\) |
0.988728 | + | 0.149720i | \(0.0478373\pi\) | |||||||
\(840\) | −0.0746101 | + | 0.0118171i | −0.00257429 | + | 0.000407728i | ||||
\(841\) | 0.126237 | + | 0.140201i | 0.00435302 | + | 0.00483451i | ||||
\(842\) | 1.79694 | − | 1.03747i | 0.0619267 | − | 0.0357534i | ||||
\(843\) | 1.27518 | + | 0.341684i | 0.0439197 | + | 0.0117682i | ||||
\(844\) | 22.4400 | + | 7.29121i | 0.772418 | + | 0.250974i | ||||
\(845\) | 1.60566 | + | 2.60238i | 0.0552363 | + | 0.0895246i | ||||
\(846\) | −3.68468 | − | 11.3403i | −0.126682 | − | 0.389887i | ||||
\(847\) | −5.62684 | + | 2.15994i | −0.193340 | + | 0.0742164i | ||||
\(848\) | −9.94745 | − | 46.7991i | −0.341597 | − | 1.60709i | ||||
\(849\) | −0.551256 | − | 5.24485i | −0.0189191 | − | 0.180003i | ||||
\(850\) | 3.06538 | + | 19.3541i | 0.105142 | + | 0.663839i | ||||
\(851\) | 3.82127 | − | 2.48156i | 0.130992 | − | 0.0850669i | ||||
\(852\) | 1.58543 | − | 4.13017i | 0.0543158 | − | 0.141497i | ||||
\(853\) | 6.60825 | + | 41.7228i | 0.226262 | + | 1.42856i | 0.795282 | + | 0.606239i | \(0.207323\pi\) |
−0.569020 | + | 0.822324i | \(0.692677\pi\) | |||||||
\(854\) | 0.509672 | − | 2.39782i | 0.0174406 | − | 0.0820517i | ||||
\(855\) | −0.622464 | − | 0.0654236i | −0.0212878 | − | 0.00223744i | ||||
\(856\) | 7.83173 | + | 20.4023i | 0.267683 | + | 0.697338i | ||||
\(857\) | 10.1429 | + | 3.29563i | 0.346475 | + | 0.112577i | 0.477085 | − | 0.878857i | \(-0.341693\pi\) |
−0.130610 | + | 0.991434i | \(0.541693\pi\) | |||||||
\(858\) | 9.71008 | − | 3.59904i | 0.331497 | − | 0.122869i | ||||
\(859\) | −45.2599 | + | 14.7058i | −1.54425 | + | 0.501756i | −0.952544 | − | 0.304400i | \(-0.901544\pi\) |
−0.591703 | + | 0.806156i | \(0.701544\pi\) | |||||||
\(860\) | 2.68886 | − | 0.140917i | 0.0916894 | − | 0.00480524i | ||||
\(861\) | 0.182291 | + | 0.857611i | 0.00621245 | + | 0.0292273i | ||||
\(862\) | −10.9749 | − | 6.33637i | −0.373807 | − | 0.215818i | ||||
\(863\) | 13.5683 | + | 13.5683i | 0.461871 | + | 0.461871i | 0.899268 | − | 0.437398i | \(-0.144100\pi\) |
−0.437398 | + | 0.899268i | \(0.644100\pi\) | |||||||
\(864\) | −0.617960 | + | 11.7914i | −0.0210234 | + | 0.401151i | ||||
\(865\) | 3.97984 | + | 1.52772i | 0.135319 | + | 0.0519440i | ||||
\(866\) | 3.55659 | − | 22.4554i | 0.120858 | − | 0.763066i | ||||
\(867\) | −3.65332 | − | 2.10925i | −0.124073 | − | 0.0716338i | ||||
\(868\) | 0.459808 | + | 3.63209i | 0.0156069 | + | 0.123281i | ||||
\(869\) | −7.31830 | + | 27.3123i | −0.248256 | + | 0.926506i | ||||
\(870\) | −0.462119 | − | 0.636053i | −0.0156673 | − | 0.0215642i | ||||
\(871\) | 12.6036 | + | 29.2130i | 0.427057 | + | 0.989845i | ||||
\(872\) | 5.42176 | − | 16.6865i | 0.183604 | − | 0.565075i | ||||
\(873\) | −51.5999 | − | 13.8261i | −1.74639 | − | 0.467944i | ||||
\(874\) | 1.09099 | − | 0.629883i | 0.0369033 | − | 0.0213061i | ||||
\(875\) | 1.01979 | − | 0.918222i | 0.0344752 | − | 0.0310416i | ||||
\(876\) | −0.965025 | − | 0.491705i | −0.0326052 | − | 0.0166132i | ||||
\(877\) | 10.1937 | − | 6.61989i | 0.344218 | − | 0.223538i | −0.360938 | − | 0.932590i | \(-0.617543\pi\) |
0.705156 | + | 0.709052i | \(0.250877\pi\) | |||||||
\(878\) | 5.17051 | − | 6.38505i | 0.174496 | − | 0.215485i | ||||
\(879\) | 2.33643 | + | 4.58550i | 0.0788057 | + | 0.154665i | ||||
\(880\) | −5.37914 | + | 0.565370i | −0.181331 | + | 0.0190586i | ||||
\(881\) | 3.97949 | − | 37.8623i | 0.134073 | − | 1.27561i | −0.696034 | − | 0.718009i | \(-0.745054\pi\) |
0.830106 | − | 0.557606i | \(-0.188280\pi\) | |||||||
\(882\) | 33.7674 | − | 1.76968i | 1.13701 | − | 0.0595881i | ||||
\(883\) | 45.3503 | + | 32.9489i | 1.52616 | + | 1.10882i | 0.958326 | + | 0.285676i | \(0.0922182\pi\) |
0.567833 | + | 0.823143i | \(0.307782\pi\) | |||||||
\(884\) | −8.42548 | − | 3.34657i | −0.283379 | − | 0.112557i | ||||
\(885\) | −1.03242 | + | 0.335452i | −0.0347043 | + | 0.0112761i | ||||
\(886\) | −29.5091 | − | 36.4407i | −0.991377 | − | 1.22425i | ||||
\(887\) | −18.0713 | − | 8.04586i | −0.606775 | − | 0.270153i | 0.0802649 | − | 0.996774i | \(-0.474423\pi\) |
−0.687039 | + | 0.726620i | \(0.741090\pi\) | |||||||
\(888\) | −2.40516 | + | 2.16561i | −0.0807117 | + | 0.0726732i | ||||
\(889\) | −5.17407 | − | 0.819493i | −0.173533 | − | 0.0274849i | ||||
\(890\) | −1.00502 | − | 1.54760i | −0.0336884 | − | 0.0518755i | ||||
\(891\) | −30.5485 | + | 19.8385i | −1.02341 | + | 0.664613i | ||||
\(892\) | −5.36061 | − | 10.5208i | −0.179486 | − | 0.352262i | ||||
\(893\) | 1.08585 | − | 1.88075i | 0.0363367 | − | 0.0629370i | ||||
\(894\) | 4.40956 | + | 7.63758i | 0.147478 | + | 0.255439i | ||||
\(895\) | −1.41341 | + | 2.17646i | −0.0472450 | + | 0.0727510i | ||||
\(896\) | 3.87032 | − | 5.32704i | 0.129298 | − | 0.177964i | ||||
\(897\) | −0.965574 | − | 0.164403i | −0.0322396 | − | 0.00548927i | ||||
\(898\) | − | 17.5295i | − | 0.584968i | ||||||
\(899\) | 24.7134 | − | 16.8047i | 0.824239 | − | 0.560468i | ||||
\(900\) | −7.96921 | − | 13.8031i | −0.265640 | − | 0.460103i | ||||
\(901\) | 21.4104 | − | 2.25032i | 0.713284 | − | 0.0749692i | ||||
\(902\) | 5.40465 | + | 34.1236i | 0.179955 | + | 1.13619i | ||||
\(903\) | 2.10888 | + | 0.110522i | 0.0701790 | + | 0.00367793i | ||||
\(904\) | 17.1584 | − | 4.59757i | 0.570678 | − | 0.152913i | ||||
\(905\) | −1.61055 | + | 1.61055i | −0.0535364 | + | 0.0535364i | ||||
\(906\) | 6.17617 | + | 6.85933i | 0.205189 | + | 0.227886i | ||||
\(907\) | −3.85201 | − | 3.46837i | −0.127904 | − | 0.115165i | 0.602696 | − | 0.797971i | \(-0.294093\pi\) |
−0.730600 | + | 0.682805i | \(0.760760\pi\) | |||||||
\(908\) | −32.8648 | + | 1.72237i | −1.09066 | + | 0.0571588i | ||||
\(909\) | −11.9247 | − | 16.4130i | −0.395519 | − | 0.544385i | ||||
\(910\) | 0.172783 | + | 0.861783i | 0.00572771 | + | 0.0285678i | ||||
\(911\) | 3.60916 | + | 4.96759i | 0.119577 | + | 0.164584i | 0.864609 | − | 0.502445i | \(-0.167566\pi\) |
−0.745032 | + | 0.667028i | \(0.767566\pi\) | |||||||
\(912\) | −1.26362 | + | 1.02326i | −0.0418427 | + | 0.0338835i | ||||
\(913\) | 8.93901 | − | 9.92777i | 0.295838 | − | 0.328561i | ||||
\(914\) | 34.6508 | − | 15.4275i | 1.14615 | − | 0.510298i | ||||
\(915\) | −0.193704 | + | 0.0306796i | −0.00640364 | + | 0.00101424i | ||||
\(916\) | 13.9660 | + | 21.5058i | 0.461450 | + | 0.710571i | ||||
\(917\) | −3.96072 | − | 1.52038i | −0.130795 | − | 0.0502073i | ||||
\(918\) | −8.10662 | − | 1.28396i | −0.267558 | − | 0.0423771i | ||||
\(919\) | −4.72907 | − | 5.25216i | −0.155998 | − | 0.173253i | 0.660080 | − | 0.751195i | \(-0.270522\pi\) |
−0.816077 | + | 0.577943i | \(0.803856\pi\) | |||||||
\(920\) | 0.257201 | + | 0.114513i | 0.00847966 | + | 0.00377539i | ||||
\(921\) | −0.426944 | − | 8.14657i | −0.0140683 | − | 0.268439i | ||||
\(922\) | −2.03471 | − | 6.26219i | −0.0670095 | − | 0.206234i | ||||
\(923\) | 38.2501 | + | 12.9193i | 1.25902 | + | 0.425243i | ||||
\(924\) | 1.06904 | 0.0351689 | ||||||||
\(925\) | 7.56610 | − | 28.2371i | 0.248772 | − | 0.928429i | ||||
\(926\) | −7.15471 | − | 33.6603i | −0.235118 | − | 1.10615i | ||||
\(927\) | −6.30681 | − | 14.1653i | −0.207143 | − | 0.465250i | ||||
\(928\) | 30.2243 | + | 4.78707i | 0.992163 | + | 0.157143i | ||||
\(929\) | 35.1361 | − | 9.41469i | 1.15278 | − | 0.308886i | 0.368700 | − | 0.929548i | \(-0.379803\pi\) |
0.784078 | + | 0.620662i | \(0.213136\pi\) | |||||||
\(930\) | 0.718619 | − | 0.385563i | 0.0235645 | − | 0.0126431i | ||||
\(931\) | 4.35474 | + | 4.35474i | 0.142721 | + | 0.142721i | ||||
\(932\) | −0.825957 | − | 7.85846i | −0.0270551 | − | 0.257412i | ||||
\(933\) | 0.198410 | − | 1.88774i | 0.00649564 | − | 0.0618019i | ||||
\(934\) | 15.6102 | + | 10.1374i | 0.510781 | + | 0.331705i | ||||
\(935\) | − | 2.43375i | − | 0.0795921i | ||||||
\(936\) | −16.1022 | − | 0.186276i | −0.526316 | − | 0.00608862i | ||||
\(937\) | 3.51808 | − | 10.8275i | 0.114931 | − | 0.353720i | −0.877002 | − | 0.480487i | \(-0.840460\pi\) |
0.991933 | + | 0.126767i | \(0.0404600\pi\) | |||||||
\(938\) | 0.478611 | + | 9.13244i | 0.0156272 | + | 0.298185i | ||||
\(939\) | −4.08138 | + | 4.53283i | −0.133191 | + | 0.147923i | ||||
\(940\) | −0.615421 | + | 0.0646834i | −0.0200728 | + | 0.00210974i | ||||
\(941\) | −1.81969 | + | 0.927178i | −0.0593202 | + | 0.0302251i | −0.483399 | − | 0.875400i | \(-0.660598\pi\) |
0.424079 | + | 0.905625i | \(0.360598\pi\) | |||||||
\(942\) | 9.04329 | − | 11.1675i | 0.294646 | − | 0.363858i | ||||
\(943\) | 1.17106 | − | 3.05072i | 0.0381350 | − | 0.0993451i | ||||
\(944\) | 29.6332 | − | 58.1584i | 0.964478 | − | 1.89290i | ||||
\(945\) | 0.116242 | + | 0.261085i | 0.00378137 | + | 0.00849309i | ||||
\(946\) | 82.7581 | + | 8.69823i | 2.69070 | + | 0.282804i | ||||
\(947\) | 2.38995 | + | 45.6030i | 0.0776631 | + | 1.48190i | 0.708349 | + | 0.705862i | \(0.249440\pi\) |
−0.630686 | + | 0.776038i | \(0.717227\pi\) | |||||||
\(948\) | 1.42366 | − | 1.95950i | 0.0462383 | − | 0.0636415i | ||||
\(949\) | 4.12436 | − | 8.98236i | 0.133882 | − | 0.291580i | ||||
\(950\) | 2.49765 | − | 7.68698i | 0.0810345 | − | 0.249399i | ||||
\(951\) | 2.10377 | + | 5.48050i | 0.0682193 | + | 0.177717i | ||||
\(952\) | 1.51884 | + | 1.36757i | 0.0492259 | + | 0.0443232i | ||||
\(953\) | 1.45183 | + | 0.308595i | 0.0470293 | + | 0.00999638i | 0.231366 | − | 0.972867i | \(-0.425680\pi\) |
−0.184337 | + | 0.982863i | \(0.559014\pi\) | |||||||
\(954\) | −43.4415 | + | 22.1345i | −1.40647 | + | 0.716632i | ||||
\(955\) | −1.49680 | − | 5.58614i | −0.0484353 | − | 0.180763i | ||||
\(956\) | −2.66036 | − | 9.92861i | −0.0860423 | − | 0.321114i | ||||
\(957\) | −3.96182 | − | 7.77551i | −0.128067 | − | 0.251346i | ||||
\(958\) | −5.59398 | + | 2.49060i | −0.180733 | + | 0.0804676i | ||||
\(959\) | −4.21153 | − | 1.87509i | −0.135997 | − | 0.0605499i | ||||
\(960\) | 0.00806452 | + | 0.00216088i | 0.000260281 | + | 6.97422e-5i | ||||
\(961\) | 13.7983 | + | 27.7598i | 0.445105 | + | 0.895478i | ||||
\(962\) | 26.3179 | + | 26.9339i | 0.848522 | + | 0.868384i | ||||
\(963\) | 32.7377 | − | 23.7853i | 1.05496 | − | 0.766471i | ||||
\(964\) | −22.3265 | + | 18.0797i | −0.719089 | + | 0.582307i | ||||
\(965\) | −0.153071 | + | 0.0325362i | −0.00492752 | + | 0.00104738i | ||||
\(966\) | −0.243815 | − | 0.140767i | −0.00784462 | − | 0.00452909i | ||||
\(967\) | 26.0617 | + | 26.0617i | 0.838087 | + | 0.838087i | 0.988607 | − | 0.150520i | \(-0.0480948\pi\) |
−0.150520 | + | 0.988607i | \(0.548095\pi\) | |||||||
\(968\) | −15.9344 | − | 0.835084i | −0.512150 | − | 0.0268406i | ||||
\(969\) | −0.398475 | − | 0.613597i | −0.0128009 | − | 0.0197116i | ||||
\(970\) | −3.50439 | + | 6.87775i | −0.112519 | + | 0.220831i | ||||
\(971\) | 5.09293 | + | 48.4560i | 0.163440 | + | 1.55503i | 0.701838 | + | 0.712337i | \(0.252363\pi\) |
−0.538398 | + | 0.842691i | \(0.680970\pi\) | |||||||
\(972\) | 9.86413 | − | 2.09669i | 0.316392 | − | 0.0672513i | ||||
\(973\) | −4.68800 | + | 1.79956i | −0.150290 | + | 0.0576911i | ||||
\(974\) | −31.2505 | − | 22.7048i | −1.00133 | − | 0.727508i | ||||
\(975\) | −5.30962 | + | 3.36143i | −0.170044 | + | 0.107652i | ||||
\(976\) | 6.93138 | − | 9.54023i | 0.221868 | − | 0.305375i | ||||
\(977\) | 2.95559 | + | 3.64985i | 0.0945577 | + | 0.116769i | 0.822229 | − | 0.569157i | \(-0.192731\pi\) |
−0.727671 | + | 0.685926i | \(0.759397\pi\) | |||||||
\(978\) | −4.48784 | − | 4.04087i | −0.143505 | − | 0.129213i | ||||
\(979\) | −8.33090 | − | 18.7115i | −0.266257 | − | 0.598022i | ||||
\(980\) | 0.274515 | − | 1.73322i | 0.00876907 | − | 0.0553658i | ||||
\(981\) | −32.4432 | − | 1.70028i | −1.03583 | − | 0.0542857i | ||||
\(982\) | 42.9882 | + | 34.8112i | 1.37181 | + | 1.11087i | ||||
\(983\) | 12.7323 | + | 6.48741i | 0.406096 | + | 0.206916i | 0.645093 | − | 0.764104i | \(-0.276819\pi\) |
−0.238997 | + | 0.971020i | \(0.576819\pi\) | |||||||
\(984\) | −0.482595 | + | 2.27043i | −0.0153846 | + | 0.0723786i | ||||
\(985\) | 5.36626 | − | 1.14063i | 0.170983 | − | 0.0363436i | ||||
\(986\) | −5.50545 | + | 20.5466i | −0.175329 | + | 0.654337i | ||||
\(987\) | −0.485334 | −0.0154484 | ||||||||
\(988\) | 2.46983 | + | 2.80767i | 0.0785759 | + | 0.0893240i | ||||
\(989\) | −6.36750 | − | 4.62626i | −0.202475 | − | 0.147107i | ||||
\(990\) | 1.97523 | + | 5.14565i | 0.0627770 | + | 0.163540i | ||||
\(991\) | 28.4788 | − | 16.4422i | 0.904658 | − | 0.522305i | 0.0259497 | − | 0.999663i | \(-0.491739\pi\) |
0.878709 | + | 0.477359i | \(0.158406\pi\) | |||||||
\(992\) | −9.16651 | + | 30.3898i | −0.291037 | + | 0.964876i | ||||
\(993\) | −3.62022 | + | 3.62022i | −0.114884 | + | 0.114884i | ||||
\(994\) | 9.01845 | + | 7.30299i | 0.286048 | + | 0.231637i | ||||
\(995\) | 0.0834539 | − | 0.217405i | 0.00264567 | − | 0.00689220i | ||||
\(996\) | −1.01961 | + | 0.519515i | −0.0323074 | + | 0.0164615i | ||||
\(997\) | 18.6159 | − | 32.2437i | 0.589572 | − | 1.02117i | −0.404716 | − | 0.914442i | \(-0.632630\pi\) |
0.994288 | − | 0.106727i | \(-0.0340371\pi\) | |||||||
\(998\) | 20.2002 | + | 34.9878i | 0.639426 | + | 1.10752i | ||||
\(999\) | 10.2692 | + | 6.66887i | 0.324902 | + | 0.210994i |
(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 | 403.2.cb.a.15.10 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.10 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.10 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.10 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.10 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.10 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.10 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.10 | yes | 576 | 403.215 | even | 60 | inner |