Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(95,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bn (of order \(30\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.20 | ||
Character | \(\chi\) | \(=\) | 572.95 |
Dual form | 572.2.bn.a.283.20 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04965 | + | 0.947750i | −0.742216 | + | 0.670161i | ||||
\(3\) | 1.99167 | − | 1.79330i | 1.14989 | − | 1.03536i | 0.150986 | − | 0.988536i | \(-0.451755\pi\) |
0.998903 | − | 0.0468288i | \(-0.0149115\pi\) | |||||||
\(4\) | 0.203539 | − | 1.98962i | 0.101769 | − | 0.994808i | ||||
\(5\) | −0.674236 | − | 0.928006i | −0.301527 | − | 0.415017i | 0.631188 | − | 0.775630i | \(-0.282568\pi\) |
−0.932716 | + | 0.360613i | \(0.882568\pi\) | |||||||
\(6\) | −0.390952 | + | 3.76995i | −0.159605 | + | 1.53907i | ||||
\(7\) | −0.302590 | − | 0.272453i | −0.114368 | − | 0.102978i | 0.609963 | − | 0.792430i | \(-0.291184\pi\) |
−0.724331 | + | 0.689453i | \(0.757851\pi\) | |||||||
\(8\) | 1.67201 | + | 2.28131i | 0.591146 | + | 0.806564i | ||||
\(9\) | 0.437208 | − | 4.15976i | 0.145736 | − | 1.38659i | ||||
\(10\) | 1.58723 | + | 0.335076i | 0.501927 | + | 0.105960i | ||||
\(11\) | −0.988360 | − | 3.16594i | −0.298002 | − | 0.954565i | ||||
\(12\) | −3.16261 | − | 4.32766i | −0.912966 | − | 1.24929i | ||||
\(13\) | −2.61017 | − | 2.48737i | −0.723930 | − | 0.689874i | ||||
\(14\) | 0.575831 | 0.000798670i | 0.153897 | 0.000213454i | ||||||
\(15\) | −3.00705 | − | 0.639168i | −0.776417 | − | 0.165033i | ||||
\(16\) | −3.91714 | − | 0.809927i | −0.979286 | − | 0.202482i | ||||
\(17\) | 0.998243 | − | 2.24209i | 0.242110 | − | 0.543787i | −0.751092 | − | 0.660198i | \(-0.770472\pi\) |
0.993201 | + | 0.116411i | \(0.0371390\pi\) | |||||||
\(18\) | 3.48350 | + | 4.78067i | 0.821068 | + | 1.12681i | ||||
\(19\) | 1.43140 | + | 6.73423i | 0.328387 | + | 1.54494i | 0.764247 | + | 0.644923i | \(0.223111\pi\) |
−0.435861 | + | 0.900014i | \(0.643556\pi\) | |||||||
\(20\) | −1.98361 | + | 1.15259i | −0.443548 | + | 0.257726i | ||||
\(21\) | −1.09125 | −0.238130 | ||||||||
\(22\) | 4.03795 | + | 2.38641i | 0.860894 | + | 0.508785i | ||||
\(23\) | 0.740093 | + | 0.427293i | 0.154320 | + | 0.0890967i | 0.575171 | − | 0.818033i | \(-0.304935\pi\) |
−0.420851 | + | 0.907130i | \(0.638269\pi\) | |||||||
\(24\) | 7.42117 | + | 1.54517i | 1.51484 | + | 0.315407i | ||||
\(25\) | 1.13848 | − | 3.50389i | 0.227697 | − | 0.700778i | ||||
\(26\) | 5.09718 | + | 0.137092i | 0.999639 | + | 0.0268859i | ||||
\(27\) | −1.86306 | − | 2.56428i | −0.358546 | − | 0.493496i | ||||
\(28\) | −0.603665 | + | 0.546582i | −0.114082 | + | 0.103294i | ||||
\(29\) | −0.437182 | + | 2.05678i | −0.0811827 | + | 0.381935i | −0.999916 | − | 0.0129435i | \(-0.995880\pi\) |
0.918734 | + | 0.394878i | \(0.129213\pi\) | |||||||
\(30\) | 3.76213 | − | 2.17903i | 0.686868 | − | 0.397834i | ||||
\(31\) | −8.82491 | − | 6.41167i | −1.58500 | − | 1.15157i | −0.910665 | − | 0.413146i | \(-0.864430\pi\) |
−0.674336 | − | 0.738425i | \(-0.735570\pi\) | |||||||
\(32\) | 4.87925 | − | 2.86233i | 0.862537 | − | 0.505994i | ||||
\(33\) | −7.64597 | − | 4.53306i | −1.33099 | − | 0.789104i | ||||
\(34\) | 1.07713 | + | 3.29950i | 0.184727 | + | 0.565860i | ||||
\(35\) | −0.0488212 | + | 0.464503i | −0.00825229 | + | 0.0785153i | ||||
\(36\) | −8.18734 | − | 1.71655i | −1.36456 | − | 0.286091i | ||||
\(37\) | 0.0820718 | − | 0.386117i | 0.0134925 | − | 0.0634773i | −0.970886 | − | 0.239541i | \(-0.923003\pi\) |
0.984379 | + | 0.176064i | \(0.0563364\pi\) | |||||||
\(38\) | −7.88484 | − | 5.71198i | −1.27909 | − | 0.926606i | ||||
\(39\) | −9.65920 | − | 0.273197i | −1.54671 | − | 0.0437466i | ||||
\(40\) | 0.989736 | − | 3.08978i | 0.156491 | − | 0.488537i | ||||
\(41\) | 8.18166 | + | 9.08666i | 1.27776 | + | 1.41910i | 0.859798 | + | 0.510634i | \(0.170589\pi\) |
0.417963 | + | 0.908464i | \(0.362744\pi\) | |||||||
\(42\) | 1.14543 | − | 1.03423i | 0.176744 | − | 0.159585i | ||||
\(43\) | −4.15096 | − | 7.18968i | −0.633016 | − | 1.09642i | −0.986932 | − | 0.161139i | \(-0.948483\pi\) |
0.353916 | − | 0.935277i | \(-0.384850\pi\) | |||||||
\(44\) | −6.50016 | + | 1.32207i | −0.979937 | + | 0.199309i | ||||
\(45\) | −4.15507 | + | 2.39893i | −0.619401 | + | 0.357611i | ||||
\(46\) | −1.18181 | + | 0.252914i | −0.174248 | + | 0.0372902i | ||||
\(47\) | −1.04286 | + | 3.20959i | −0.152116 | + | 0.468166i | −0.997857 | − | 0.0654276i | \(-0.979159\pi\) |
0.845741 | + | 0.533594i | \(0.179159\pi\) | |||||||
\(48\) | −9.25409 | + | 5.41153i | −1.33571 | + | 0.781087i | ||||
\(49\) | −0.714369 | − | 6.79677i | −0.102053 | − | 0.970967i | ||||
\(50\) | 2.12580 | + | 4.75687i | 0.300634 | + | 0.672722i | ||||
\(51\) | −2.03258 | − | 6.25565i | −0.284619 | − | 0.875966i | ||||
\(52\) | −5.48019 | + | 4.68695i | −0.759966 | + | 0.649963i | ||||
\(53\) | 5.59421 | + | 4.06443i | 0.768424 | + | 0.558293i | 0.901483 | − | 0.432815i | \(-0.142480\pi\) |
−0.133059 | + | 0.991108i | \(0.542480\pi\) | |||||||
\(54\) | 4.38586 | + | 0.925888i | 0.596840 | + | 0.125997i | ||||
\(55\) | −2.27162 | + | 3.05179i | −0.306305 | + | 0.411503i | ||||
\(56\) | 0.115615 | − | 1.14585i | 0.0154497 | − | 0.153120i | ||||
\(57\) | 14.9274 | + | 10.8454i | 1.97718 | + | 1.43651i | ||||
\(58\) | −1.49043 | − | 2.57324i | −0.195702 | − | 0.337883i | ||||
\(59\) | 0.0523839 | − | 0.0581782i | 0.00681980 | − | 0.00757415i | −0.739725 | − | 0.672909i | \(-0.765045\pi\) |
0.746545 | + | 0.665335i | \(0.231711\pi\) | |||||||
\(60\) | −1.88375 | + | 5.85278i | −0.243191 | + | 0.755591i | ||||
\(61\) | 5.74684 | − | 12.9076i | 0.735808 | − | 1.65265i | −0.0216479 | − | 0.999766i | \(-0.506891\pi\) |
0.757456 | − | 0.652886i | \(-0.226442\pi\) | |||||||
\(62\) | 15.3398 | − | 1.63379i | 1.94815 | − | 0.207491i | ||||
\(63\) | −1.26563 | + | 1.13958i | −0.159455 | + | 0.143574i | ||||
\(64\) | −2.40873 | + | 7.62876i | −0.301092 | + | 0.953595i | ||||
\(65\) | −0.548431 | + | 4.09933i | −0.0680245 | + | 0.508459i | ||||
\(66\) | 12.3218 | − | 2.48834i | 1.51671 | − | 0.306293i | ||||
\(67\) | 2.10389 | − | 3.64405i | 0.257031 | − | 0.445191i | −0.708414 | − | 0.705797i | \(-0.750589\pi\) |
0.965445 | + | 0.260606i | \(0.0839224\pi\) | |||||||
\(68\) | −4.25772 | − | 2.44247i | −0.516324 | − | 0.296193i | ||||
\(69\) | 2.24028 | − | 0.476187i | 0.269698 | − | 0.0573262i | ||||
\(70\) | −0.388987 | − | 0.533836i | −0.0464929 | − | 0.0638056i | ||||
\(71\) | −1.31944 | − | 0.587454i | −0.156589 | − | 0.0697179i | 0.326946 | − | 0.945043i | \(-0.393981\pi\) |
−0.483535 | + | 0.875325i | \(0.660647\pi\) | |||||||
\(72\) | 10.2207 | − | 5.95777i | 1.20452 | − | 0.702130i | ||||
\(73\) | −0.150365 | − | 0.462777i | −0.0175989 | − | 0.0541639i | 0.941871 | − | 0.335974i | \(-0.109065\pi\) |
−0.959470 | + | 0.281810i | \(0.909065\pi\) | |||||||
\(74\) | 0.279796 | + | 0.483072i | 0.0325256 | + | 0.0561560i | ||||
\(75\) | −4.01607 | − | 9.02023i | −0.463735 | − | 1.04157i | ||||
\(76\) | 13.6899 | − | 1.47727i | 1.57034 | − | 0.169454i | ||||
\(77\) | −0.563501 | + | 1.22726i | −0.0642169 | + | 0.139859i | ||||
\(78\) | 10.3977 | − | 8.86775i | 1.17731 | − | 1.00407i | ||||
\(79\) | 4.64516 | + | 3.37491i | 0.522622 | + | 0.379707i | 0.817591 | − | 0.575800i | \(-0.195309\pi\) |
−0.294969 | + | 0.955507i | \(0.595309\pi\) | |||||||
\(80\) | 1.88946 | + | 4.18122i | 0.211248 | + | 0.467474i | ||||
\(81\) | 3.96469 | + | 0.842720i | 0.440521 | + | 0.0936356i | ||||
\(82\) | −17.1998 | − | 1.78365i | −1.89940 | − | 0.196972i | ||||
\(83\) | 1.62033 | + | 2.23019i | 0.177854 | + | 0.244795i | 0.888632 | − | 0.458622i | \(-0.151657\pi\) |
−0.710778 | + | 0.703417i | \(0.751657\pi\) | |||||||
\(84\) | −0.222111 | + | 2.17117i | −0.0242343 | + | 0.236894i | ||||
\(85\) | −2.75373 | + | 0.585322i | −0.298683 | + | 0.0634871i | ||||
\(86\) | 11.1711 | + | 3.61259i | 1.20461 | + | 0.389555i | ||||
\(87\) | 2.81771 | + | 4.88042i | 0.302090 | + | 0.523236i | ||||
\(88\) | 5.56992 | − | 7.54824i | 0.593756 | − | 0.804645i | ||||
\(89\) | 8.43119 | + | 4.86775i | 0.893705 | + | 0.515981i | 0.875152 | − | 0.483847i | \(-0.160761\pi\) |
0.0185522 | + | 0.999828i | \(0.494094\pi\) | |||||||
\(90\) | 2.08779 | − | 6.45600i | 0.220072 | − | 0.680523i | ||||
\(91\) | 0.112117 | + | 1.46380i | 0.0117530 | + | 0.153448i | ||||
\(92\) | 1.00079 | − | 1.38553i | 0.104339 | − | 0.144451i | ||||
\(93\) | −29.0744 | + | 3.05584i | −3.01487 | + | 0.316876i | ||||
\(94\) | −1.94725 | − | 4.35732i | −0.200843 | − | 0.449423i | ||||
\(95\) | 5.28430 | − | 5.86881i | 0.542158 | − | 0.602127i | ||||
\(96\) | 4.58480 | − | 14.4508i | 0.467934 | − | 1.47488i | ||||
\(97\) | 10.2635 | + | 1.07874i | 1.04210 | + | 0.109529i | 0.610085 | − | 0.792336i | \(-0.291135\pi\) |
0.432017 | + | 0.901865i | \(0.357802\pi\) | |||||||
\(98\) | 7.19148 | + | 6.45720i | 0.726449 | + | 0.652276i | ||||
\(99\) | −13.6017 | + | 2.72717i | −1.36702 | + | 0.274091i | ||||
\(100\) | −6.73968 | − | 2.97832i | −0.673968 | − | 0.297832i | ||||
\(101\) | −2.64589 | − | 5.94277i | −0.263276 | − | 0.591328i | 0.732739 | − | 0.680509i | \(-0.238241\pi\) |
−0.996015 | + | 0.0891818i | \(0.971575\pi\) | |||||||
\(102\) | 8.06230 | + | 4.63987i | 0.798287 | + | 0.459416i | ||||
\(103\) | −2.27010 | + | 0.737601i | −0.223680 | + | 0.0726780i | −0.418713 | − | 0.908119i | \(-0.637519\pi\) |
0.195033 | + | 0.980797i | \(0.437519\pi\) | |||||||
\(104\) | 1.31023 | − | 10.1135i | 0.128479 | − | 0.991712i | ||||
\(105\) | 0.735759 | + | 1.01269i | 0.0718027 | + | 0.0988280i | ||||
\(106\) | −9.72404 | + | 1.03568i | −0.944483 | + | 0.100594i | ||||
\(107\) | 6.28918 | + | 6.98484i | 0.607998 | + | 0.675250i | 0.966021 | − | 0.258463i | \(-0.0832159\pi\) |
−0.358023 | + | 0.933713i | \(0.616549\pi\) | |||||||
\(108\) | −5.48114 | + | 3.18484i | −0.527423 | + | 0.306462i | ||||
\(109\) | 13.1839 | 1.26279 | 0.631395 | − | 0.775462i | \(-0.282483\pi\) | ||||
0.631395 | + | 0.775462i | \(0.282483\pi\) | |||||||
\(110\) | −0.507926 | − | 5.35625i | −0.0484288 | − | 0.510698i | ||||
\(111\) | −0.528966 | − | 0.916196i | −0.0502073 | − | 0.0869615i | ||||
\(112\) | 0.964620 | + | 1.31231i | 0.0911480 | + | 0.124002i | ||||
\(113\) | 11.4373 | − | 2.43107i | 1.07593 | − | 0.228696i | 0.364323 | − | 0.931273i | \(-0.381301\pi\) |
0.711608 | + | 0.702577i | \(0.247967\pi\) | |||||||
\(114\) | −25.9473 | + | 2.76356i | −2.43019 | + | 0.258831i | ||||
\(115\) | −0.102467 | − | 0.974907i | −0.00955508 | − | 0.0909105i | ||||
\(116\) | 4.00322 | + | 1.28846i | 0.371690 | + | 0.119630i | ||||
\(117\) | −11.4881 | + | 9.77017i | −1.06207 | + | 0.903252i | ||||
\(118\) | 0.000153558 | 0.110714i | 1.41362e−5 | 0.0101920i | ||||||
\(119\) | −0.912922 | + | 0.406459i | −0.0836874 | + | 0.0372600i | ||||
\(120\) | −3.56969 | − | 7.92871i | −0.325867 | − | 0.723789i | ||||
\(121\) | −9.04629 | + | 6.25817i | −0.822390 | + | 0.568924i | ||||
\(122\) | 6.20102 | + | 18.9951i | 0.561414 | + | 1.71973i | ||||
\(123\) | 32.5903 | + | 3.42538i | 2.93857 | + | 0.308856i | ||||
\(124\) | −14.5530 | + | 16.2532i | −1.30690 | + | 1.45958i | ||||
\(125\) | −9.47392 | + | 3.07826i | −0.847374 | + | 0.275328i | ||||
\(126\) | 0.248436 | − | 2.39567i | 0.0221324 | − | 0.213423i | ||||
\(127\) | 1.94113 | + | 18.4686i | 0.172248 | + | 1.63883i | 0.649715 | + | 0.760178i | \(0.274888\pi\) |
−0.477468 | + | 0.878649i | \(0.658445\pi\) | |||||||
\(128\) | −4.70183 | − | 10.2904i | −0.415587 | − | 0.909553i | ||||
\(129\) | −21.1606 | − | 6.87550i | −1.86309 | − | 0.605354i | ||||
\(130\) | −3.30948 | − | 4.82264i | −0.290260 | − | 0.422974i | ||||
\(131\) | 7.36817 | 0.643760 | 0.321880 | − | 0.946780i | \(-0.395685\pi\) | ||||
0.321880 | + | 0.946780i | \(0.395685\pi\) | |||||||
\(132\) | −10.5753 | + | 14.2899i | −0.920461 | + | 1.24378i | ||||
\(133\) | 1.40163 | − | 2.42770i | 0.121537 | − | 0.210508i | ||||
\(134\) | 1.24529 | + | 5.81894i | 0.107577 | + | 0.502680i | ||||
\(135\) | −1.12353 | + | 3.45786i | −0.0966979 | + | 0.297605i | ||||
\(136\) | 6.78398 | − | 1.47151i | 0.581721 | − | 0.126181i | ||||
\(137\) | 3.22944 | − | 7.25345i | 0.275910 | − | 0.619704i | −0.721439 | − | 0.692478i | \(-0.756519\pi\) |
0.997348 | + | 0.0727748i | \(0.0231854\pi\) | |||||||
\(138\) | −1.90021 | + | 2.62306i | −0.161757 | + | 0.223290i | ||||
\(139\) | −9.81485 | + | 10.9005i | −0.832485 | + | 0.924568i | −0.998100 | − | 0.0616226i | \(-0.980372\pi\) |
0.165615 | + | 0.986191i | \(0.447039\pi\) | |||||||
\(140\) | 0.914245 | + | 0.191680i | 0.0772678 | + | 0.0161999i | ||||
\(141\) | 3.67874 | + | 8.26258i | 0.309806 | + | 0.695835i | ||||
\(142\) | 1.94171 | − | 0.633880i | 0.162945 | − | 0.0531940i | ||||
\(143\) | −5.29508 | + | 10.7220i | −0.442797 | + | 0.896622i | ||||
\(144\) | −5.08171 | + | 15.9403i | −0.423476 | + | 1.32836i | ||||
\(145\) | 2.20347 | − | 0.981048i | 0.182988 | − | 0.0814716i | ||||
\(146\) | 0.596428 | + | 0.343246i | 0.0493607 | + | 0.0284072i | ||||
\(147\) | −13.6115 | − | 12.2558i | −1.12265 | − | 1.01084i | ||||
\(148\) | −0.751520 | − | 0.241881i | −0.0617746 | − | 0.0198825i | ||||
\(149\) | −12.6065 | − | 5.61278i | −1.03277 | − | 0.459817i | −0.180859 | − | 0.983509i | \(-0.557888\pi\) |
−0.851908 | + | 0.523692i | \(0.824554\pi\) | |||||||
\(150\) | 12.7644 | + | 5.66188i | 1.04221 | + | 0.462290i | ||||
\(151\) | −6.10792 | − | 1.98458i | −0.497056 | − | 0.161503i | 0.0497516 | − | 0.998762i | \(-0.484157\pi\) |
−0.546807 | + | 0.837258i | \(0.684157\pi\) | |||||||
\(152\) | −12.9695 | + | 14.5252i | −1.05197 | + | 1.17815i | ||||
\(153\) | −8.89012 | − | 5.13271i | −0.718724 | − | 0.414955i | ||||
\(154\) | −0.571657 | − | 1.82225i | −0.0460654 | − | 0.146841i | ||||
\(155\) | 12.5126i | 1.00503i | ||||||||
\(156\) | −2.50958 | + | 19.1625i | −0.200927 | + | 1.53423i | ||||
\(157\) | −3.59022 | + | 11.0496i | −0.286531 | + | 0.881850i | 0.699405 | + | 0.714725i | \(0.253448\pi\) |
−0.985936 | + | 0.167125i | \(0.946552\pi\) | |||||||
\(158\) | −8.07438 | + | 0.859976i | −0.642363 | + | 0.0684160i | ||||
\(159\) | 18.4306 | − | 1.93713i | 1.46164 | − | 0.153624i | ||||
\(160\) | −5.94603 | − | 2.59808i | −0.470075 | − | 0.205397i | ||||
\(161\) | −0.107527 | − | 0.330935i | −0.00847433 | − | 0.0260813i | ||||
\(162\) | −4.96023 | + | 2.87297i | −0.389712 | + | 0.225722i | ||||
\(163\) | 1.65827 | − | 15.7774i | 0.129886 | − | 1.23578i | −0.714343 | − | 0.699795i | \(-0.753275\pi\) |
0.844229 | − | 0.535983i | \(-0.180059\pi\) | |||||||
\(164\) | 19.7442 | − | 14.4289i | 1.54177 | − | 1.12671i | ||||
\(165\) | 0.948482 | + | 10.1519i | 0.0738392 | + | 0.790321i | ||||
\(166\) | −3.81444 | − | 0.805257i | −0.296058 | − | 0.0625000i | ||||
\(167\) | 5.86905 | + | 13.1821i | 0.454161 | + | 1.02006i | 0.984994 | + | 0.172586i | \(0.0552122\pi\) |
−0.530834 | + | 0.847476i | \(0.678121\pi\) | |||||||
\(168\) | −1.82458 | − | 2.48947i | −0.140770 | − | 0.192067i | ||||
\(169\) | 0.625936 | + | 12.9849i | 0.0481489 | + | 0.998840i | ||||
\(170\) | 2.33571 | − | 3.22423i | 0.179141 | − | 0.247287i | ||||
\(171\) | 28.6386 | − | 3.01004i | 2.19005 | − | 0.230183i | ||||
\(172\) | −15.1496 | + | 6.79545i | −1.15515 | + | 0.518148i | ||||
\(173\) | −2.18597 | − | 10.2842i | −0.166197 | − | 0.781893i | −0.979722 | − | 0.200363i | \(-0.935788\pi\) |
0.813525 | − | 0.581530i | \(-0.197546\pi\) | |||||||
\(174\) | −7.58304 | − | 2.45226i | −0.574869 | − | 0.185905i | ||||
\(175\) | −1.29914 | + | 0.750058i | −0.0982057 | + | 0.0566991i | ||||
\(176\) | 1.30737 | + | 13.2019i | 0.0985467 | + | 0.995132i | ||||
\(177\) | − | 0.209812i | − | 0.0157704i | ||||||
\(178\) | −13.4632 | + | 2.88122i | −1.00911 | + | 0.215957i | ||||
\(179\) | −3.03863 | + | 2.73600i | −0.227118 | + | 0.204498i | −0.774831 | − | 0.632168i | \(-0.782165\pi\) |
0.547713 | + | 0.836666i | \(0.315499\pi\) | |||||||
\(180\) | 3.92723 | + | 8.75526i | 0.292718 | + | 0.652579i | ||||
\(181\) | 7.38460 | − | 5.36523i | 0.548893 | − | 0.398794i | −0.278484 | − | 0.960441i | \(-0.589832\pi\) |
0.827377 | + | 0.561647i | \(0.189832\pi\) | |||||||
\(182\) | −1.50500 | − | 1.43022i | −0.111558 | − | 0.106015i | ||||
\(183\) | −11.7015 | − | 36.0135i | −0.865000 | − | 2.66220i | ||||
\(184\) | 0.262659 | + | 2.40282i | 0.0193635 | + | 0.177138i | ||||
\(185\) | −0.413655 | + | 0.184171i | −0.0304125 | + | 0.0135405i | ||||
\(186\) | 27.6218 | − | 30.7628i | 2.02533 | − | 2.25564i | ||||
\(187\) | −8.08494 | − | 0.944381i | −0.591229 | − | 0.0690600i | ||||
\(188\) | 6.17358 | + | 2.72816i | 0.450255 | + | 0.198972i | ||||
\(189\) | −0.134904 | + | 1.28352i | −0.00981279 | + | 0.0933624i | ||||
\(190\) | 0.0154904 | + | 11.1684i | 0.00112379 | + | 0.810241i | ||||
\(191\) | 7.70052 | + | 6.93358i | 0.557190 | + | 0.501696i | 0.898926 | − | 0.438099i | \(-0.144348\pi\) |
−0.341736 | + | 0.939796i | \(0.611015\pi\) | |||||||
\(192\) | 8.88330 | + | 19.5135i | 0.641097 | + | 1.40827i | ||||
\(193\) | 0.612297 | + | 5.82562i | 0.0440741 | + | 0.419337i | 0.994206 | + | 0.107489i | \(0.0342812\pi\) |
−0.950132 | + | 0.311848i | \(0.899052\pi\) | |||||||
\(194\) | −11.7955 | + | 8.59495i | −0.846867 | + | 0.617081i | ||||
\(195\) | 6.25905 | + | 9.14800i | 0.448220 | + | 0.655102i | ||||
\(196\) | −13.6684 | + | 0.0379158i | −0.976312 | + | 0.00270827i | ||||
\(197\) | −7.35103 | + | 12.7324i | −0.523739 | + | 0.907143i | 0.475879 | + | 0.879511i | \(0.342130\pi\) |
−0.999618 | + | 0.0276319i | \(0.991203\pi\) | |||||||
\(198\) | 11.6923 | − | 15.7535i | 0.830938 | − | 1.11956i | ||||
\(199\) | 2.36330 | − | 1.36445i | 0.167530 | − | 0.0967236i | −0.413891 | − | 0.910327i | \(-0.635830\pi\) |
0.581421 | + | 0.813603i | \(0.302497\pi\) | |||||||
\(200\) | 9.89702 | − | 3.26133i | 0.699825 | − | 0.230611i | ||||
\(201\) | −2.34463 | − | 11.0306i | −0.165378 | − | 0.778041i | ||||
\(202\) | 8.40953 | + | 3.73019i | 0.591692 | + | 0.262456i | ||||
\(203\) | 0.692663 | − | 0.503249i | 0.0486154 | − | 0.0353211i | ||||
\(204\) | −12.8600 | + | 2.77080i | −0.900384 | + | 0.193994i | ||||
\(205\) | 2.91610 | − | 13.7192i | 0.203669 | − | 0.958190i | ||||
\(206\) | 1.68376 | − | 2.92571i | 0.117313 | − | 0.203844i | ||||
\(207\) | 2.10101 | − | 2.89179i | 0.146030 | − | 0.200994i | ||||
\(208\) | 8.20980 | + | 11.8574i | 0.569248 | + | 0.822166i | ||||
\(209\) | 19.9054 | − | 11.1876i | 1.37688 | − | 0.773860i | ||||
\(210\) | −1.73206 | − | 0.365651i | −0.119524 | − | 0.0252323i | ||||
\(211\) | −2.59289 | + | 1.15443i | −0.178502 | + | 0.0794743i | −0.494042 | − | 0.869438i | \(-0.664481\pi\) |
0.315540 | + | 0.948912i | \(0.397814\pi\) | |||||||
\(212\) | 9.22530 | − | 10.3031i | 0.633596 | − | 0.707617i | ||||
\(213\) | −3.68137 | + | 1.19615i | −0.252243 | + | 0.0819588i | ||||
\(214\) | −13.2213 | − | 1.37108i | −0.903792 | − | 0.0937251i | ||||
\(215\) | −3.87334 | + | 8.69966i | −0.264160 | + | 0.593312i | ||||
\(216\) | 2.73485 | − | 8.53773i | 0.186083 | − | 0.580919i | ||||
\(217\) | 0.923447 | + | 4.34448i | 0.0626877 | + | 0.294922i | ||||
\(218\) | −13.8385 | + | 12.4951i | −0.937263 | + | 0.846272i | ||||
\(219\) | −1.12938 | − | 0.652046i | −0.0763162 | − | 0.0440612i | ||||
\(220\) | 5.60953 | + | 5.14081i | 0.378194 | + | 0.346593i | ||||
\(221\) | −8.18250 | + | 3.36922i | −0.550414 | + | 0.226639i | ||||
\(222\) | 1.42356 | + | 0.460359i | 0.0955428 | + | 0.0308973i | ||||
\(223\) | 13.2863 | + | 14.7559i | 0.889717 | + | 0.988131i | 0.999983 | − | 0.00577107i | \(-0.00183700\pi\) |
−0.110266 | + | 0.993902i | \(0.535170\pi\) | |||||||
\(224\) | −2.25626 | − | 0.463253i | −0.150753 | − | 0.0309524i | ||||
\(225\) | −14.0776 | − | 6.26775i | −0.938507 | − | 0.417850i | ||||
\(226\) | −9.70113 | + | 13.3915i | −0.645310 | + | 0.890788i | ||||
\(227\) | −15.7044 | − | 14.1403i | −1.04234 | − | 0.938526i | −0.0441700 | − | 0.999024i | \(-0.514064\pi\) |
−0.998168 | + | 0.0604984i | \(0.980731\pi\) | |||||||
\(228\) | 24.6165 | − | 27.4923i | 1.63026 | − | 1.82072i | ||||
\(229\) | 3.51277 | − | 4.83492i | 0.232131 | − | 0.319500i | −0.677023 | − | 0.735962i | \(-0.736730\pi\) |
0.909153 | + | 0.416462i | \(0.136730\pi\) | |||||||
\(230\) | 1.03152 | + | 0.926200i | 0.0680166 | + | 0.0610718i | ||||
\(231\) | 1.07855 | + | 3.45482i | 0.0709631 | + | 0.227311i | ||||
\(232\) | −5.42313 | + | 2.44162i | −0.356046 | + | 0.160300i | ||||
\(233\) | 6.80620 | − | 9.36793i | 0.445889 | − | 0.613713i | −0.525619 | − | 0.850720i | \(-0.676166\pi\) |
0.971508 | + | 0.237007i | \(0.0761663\pi\) | |||||||
\(234\) | 2.79880 | − | 21.1431i | 0.182963 | − | 1.38217i | ||||
\(235\) | 3.68165 | − | 1.19624i | 0.240164 | − | 0.0780341i | ||||
\(236\) | −0.105090 | − | 0.116065i | −0.00684078 | − | 0.00755521i | ||||
\(237\) | 15.3039 | − | 1.60850i | 0.994092 | − | 0.104483i | ||||
\(238\) | 0.573029 | − | 1.29186i | 0.0371439 | − | 0.0837390i | ||||
\(239\) | 9.39437 | + | 3.05242i | 0.607671 | + | 0.197444i | 0.596659 | − | 0.802495i | \(-0.296495\pi\) |
0.0110125 | + | 0.999939i | \(0.496495\pi\) | |||||||
\(240\) | 11.2614 | + | 4.93921i | 0.726918 | + | 0.318824i | ||||
\(241\) | −13.0798 | − | 22.6549i | −0.842544 | − | 1.45933i | −0.887737 | − | 0.460350i | \(-0.847724\pi\) |
0.0451935 | − | 0.998978i | \(-0.485610\pi\) | |||||||
\(242\) | 3.56428 | − | 15.1425i | 0.229121 | − | 0.973398i | ||||
\(243\) | 17.6425 | − | 10.1859i | 1.13177 | − | 0.653427i | ||||
\(244\) | −24.5115 | − | 14.0612i | −1.56919 | − | 0.900177i | ||||
\(245\) | −5.82579 | + | 5.24557i | −0.372196 | + | 0.335127i | ||||
\(246\) | −37.4549 | + | 27.2920i | −2.38803 | + | 1.74007i | ||||
\(247\) | 13.0143 | − | 21.1379i | 0.828083 | − | 1.34497i | ||||
\(248\) | −0.128378 | − | 30.8528i | −0.00815200 | − | 1.95915i | ||||
\(249\) | 7.22656 | + | 1.53605i | 0.457964 | + | 0.0973433i | ||||
\(250\) | 7.02690 | − | 12.2100i | 0.444420 | − | 0.772230i | ||||
\(251\) | 4.52674 | + | 0.475779i | 0.285725 | + | 0.0300309i | 0.246307 | − | 0.969192i | \(-0.420783\pi\) |
0.0394182 | + | 0.999223i | \(0.487450\pi\) | |||||||
\(252\) | 2.00972 | + | 2.75007i | 0.126601 | + | 0.173238i | ||||
\(253\) | 0.621303 | − | 2.76540i | 0.0390610 | − | 0.173860i | ||||
\(254\) | −19.5412 | − | 17.5459i | −1.22612 | − | 1.10093i | ||||
\(255\) | −4.43484 | + | 6.10403i | −0.277720 | + | 0.382249i | ||||
\(256\) | 14.6880 | + | 6.34520i | 0.918002 | + | 0.396575i | ||||
\(257\) | 24.4233 | + | 5.19133i | 1.52348 | + | 0.323826i | 0.892169 | − | 0.451702i | \(-0.149183\pi\) |
0.631313 | + | 0.775528i | \(0.282516\pi\) | |||||||
\(258\) | 28.7275 | − | 12.8381i | 1.78850 | − | 0.799265i | ||||
\(259\) | −0.130033 | + | 0.0944744i | −0.00807985 | + | 0.00587035i | ||||
\(260\) | 8.04446 | + | 1.92554i | 0.498896 | + | 0.119417i | ||||
\(261\) | 8.36458 | + | 2.71782i | 0.517754 | + | 0.168229i | ||||
\(262\) | −7.73401 | + | 6.98318i | −0.477809 | + | 0.431423i | ||||
\(263\) | −10.8330 | + | 18.7633i | −0.667992 | + | 1.15700i | 0.310472 | + | 0.950582i | \(0.399513\pi\) |
−0.978465 | + | 0.206414i | \(0.933821\pi\) | |||||||
\(264\) | −2.44287 | − | 25.0221i | −0.150348 | − | 1.54001i | ||||
\(265\) | − | 7.93185i | − | 0.487250i | ||||||
\(266\) | 0.829625 | + | 3.87663i | 0.0508676 | + | 0.237692i | ||||
\(267\) | 25.5215 | − | 5.42476i | 1.56189 | − | 0.331990i | ||||
\(268\) | −6.82203 | − | 4.92764i | −0.416722 | − | 0.301003i | ||||
\(269\) | −3.99160 | − | 1.77717i | −0.243372 | − | 0.108356i | 0.281426 | − | 0.959583i | \(-0.409193\pi\) |
−0.524798 | + | 0.851227i | \(0.675859\pi\) | |||||||
\(270\) | −2.09788 | − | 4.69438i | −0.127673 | − | 0.285691i | ||||
\(271\) | −3.68723 | + | 17.3471i | −0.223983 | + | 1.05376i | 0.712126 | + | 0.702051i | \(0.247732\pi\) |
−0.936110 | + | 0.351708i | \(0.885601\pi\) | |||||||
\(272\) | −5.72619 | + | 7.97409i | −0.347201 | + | 0.483500i | ||||
\(273\) | 2.84834 | + | 2.71434i | 0.172389 | + | 0.164280i | ||||
\(274\) | 3.48467 | + | 10.6743i | 0.210516 | + | 0.644858i | ||||
\(275\) | −12.2183 | − | 0.141260i | −0.736793 | − | 0.00851827i | ||||
\(276\) | −0.491445 | − | 4.55423i | −0.0295815 | − | 0.274132i | ||||
\(277\) | 14.8502 | + | 1.56082i | 0.892260 | + | 0.0937803i | 0.539551 | − | 0.841953i | \(-0.318594\pi\) |
0.352709 | + | 0.935733i | \(0.385261\pi\) | |||||||
\(278\) | −0.0287713 | − | 20.7438i | −0.00172559 | − | 1.24413i | ||||
\(279\) | −30.5294 | + | 33.9063i | −1.82774 | + | 2.02992i | ||||
\(280\) | −1.14130 | + | 0.665279i | −0.0682059 | + | 0.0397580i | ||||
\(281\) | −15.8147 | + | 11.4900i | −0.943424 | + | 0.685437i | −0.949242 | − | 0.314546i | \(-0.898148\pi\) |
0.00581872 | + | 0.999983i | \(0.498148\pi\) | |||||||
\(282\) | −11.6923 | − | 5.18631i | −0.696264 | − | 0.308840i | ||||
\(283\) | −12.8675 | − | 14.2909i | −0.764896 | − | 0.849503i | 0.227347 | − | 0.973814i | \(-0.426995\pi\) |
−0.992243 | + | 0.124311i | \(0.960328\pi\) | |||||||
\(284\) | −1.43736 | + | 2.50561i | −0.0852919 | + | 0.148681i | ||||
\(285\) | − | 21.1651i | − | 1.25371i | ||||||
\(286\) | −4.60382 | − | 16.2728i | −0.272230 | − | 0.962232i | ||||
\(287\) | − | 4.97865i | − | 0.293880i | ||||||
\(288\) | −9.77337 | − | 21.5479i | −0.575901 | − | 1.26972i | ||||
\(289\) | 7.34474 | + | 8.15716i | 0.432043 | + | 0.479833i | ||||
\(290\) | −1.38309 | + | 3.11810i | −0.0812177 | + | 0.183101i | ||||
\(291\) | 22.3760 | − | 16.2571i | 1.31170 | − | 0.953009i | ||||
\(292\) | −0.951353 | + | 0.204976i | −0.0556737 | + | 0.0119953i | ||||
\(293\) | 1.33565 | − | 1.48339i | 0.0780294 | − | 0.0866604i | −0.702866 | − | 0.711322i | \(-0.748097\pi\) |
0.780895 | + | 0.624662i | \(0.214763\pi\) | |||||||
\(294\) | 25.9028 | − | 0.0359268i | 1.51068 | − | 0.00209529i | ||||
\(295\) | −0.0893088 | − | 0.00938673i | −0.00519976 | − | 0.000546517i | ||||
\(296\) | 1.01808 | − | 0.458363i | 0.0591746 | − | 0.0266418i | ||||
\(297\) | −6.27698 | + | 8.43276i | −0.364227 | + | 0.489318i | ||||
\(298\) | 18.5520 | − | 6.05636i | 1.07469 | − | 0.350836i | ||||
\(299\) | −0.868928 | − | 2.95619i | −0.0502514 | − | 0.170961i | ||||
\(300\) | −18.7642 | + | 6.15446i | −1.08335 | + | 0.355328i | ||||
\(301\) | −0.702811 | + | 3.30646i | −0.0405093 | + | 0.190581i | ||||
\(302\) | 8.29209 | − | 3.70566i | 0.477156 | − | 0.213237i | ||||
\(303\) | −15.9269 | − | 7.09112i | −0.914978 | − | 0.407374i | ||||
\(304\) | −0.152782 | − | 27.5383i | −0.00876267 | − | 1.57943i | ||||
\(305\) | −15.8531 | + | 3.36968i | −0.907745 | + | 0.192947i | ||||
\(306\) | 14.1961 | − | 3.03805i | 0.811535 | − | 0.173674i | ||||
\(307\) | − | 1.71641i | − | 0.0979608i | −0.998800 | − | 0.0489804i | \(-0.984403\pi\) | ||
0.998800 | − | 0.0489804i | \(-0.0155972\pi\) | |||||||
\(308\) | 2.32708 | + | 1.37095i | 0.132598 | + | 0.0781168i | ||||
\(309\) | −3.19854 | + | 5.54004i | −0.181959 | + | 0.315162i | ||||
\(310\) | −11.8588 | − | 13.1338i | −0.673533 | − | 0.745951i | ||||
\(311\) | −13.0380 | − | 4.23630i | −0.739316 | − | 0.240218i | −0.0849385 | − | 0.996386i | \(-0.527069\pi\) |
−0.654378 | + | 0.756168i | \(0.727069\pi\) | |||||||
\(312\) | −15.5271 | − | 22.4924i | −0.879047 | − | 1.27338i | ||||
\(313\) | −13.5599 | + | 9.85187i | −0.766453 | + | 0.556861i | −0.900883 | − | 0.434062i | \(-0.857080\pi\) |
0.134430 | + | 0.990923i | \(0.457080\pi\) | |||||||
\(314\) | −6.70374 | − | 15.0008i | −0.378314 | − | 0.846545i | ||||
\(315\) | 1.91087 | + | 0.406169i | 0.107666 | + | 0.0228850i | ||||
\(316\) | 7.66024 | − | 8.55517i | 0.430922 | − | 0.481266i | ||||
\(317\) | 16.6808 | − | 22.9592i | 0.936889 | − | 1.28952i | −0.0202214 | − | 0.999796i | \(-0.506437\pi\) |
0.957111 | − | 0.289722i | \(-0.0935629\pi\) | |||||||
\(318\) | −17.5098 | + | 19.5009i | −0.981899 | + | 1.09356i | ||||
\(319\) | 6.94373 | − | 0.648748i | 0.388774 | − | 0.0363229i | ||||
\(320\) | 8.70359 | − | 2.90827i | 0.486546 | − | 0.162577i | ||||
\(321\) | 25.0519 | + | 2.63306i | 1.39826 | + | 0.146963i | ||||
\(322\) | 0.426510 | + | 0.245457i | 0.0237685 | + | 0.0136788i | ||||
\(323\) | 16.5276 | + | 3.51306i | 0.919622 | + | 0.195472i | ||||
\(324\) | 2.48366 | − | 7.71668i | 0.137981 | − | 0.428704i | ||||
\(325\) | −11.6871 | + | 6.31391i | −0.648285 | + | 0.350233i | ||||
\(326\) | 13.2124 | + | 18.1324i | 0.731767 | + | 1.00426i | ||||
\(327\) | 26.2579 | − | 23.6428i | 1.45207 | − | 1.30745i | ||||
\(328\) | −7.04961 | + | 33.8579i | −0.389249 | + | 1.86949i | ||||
\(329\) | 1.19002 | − | 0.687058i | 0.0656078 | − | 0.0378787i | ||||
\(330\) | −10.6170 | − | 9.75699i | −0.584447 | − | 0.537105i | ||||
\(331\) | −9.61565 | − | 16.6548i | −0.528524 | − | 0.915431i | −0.999447 | − | 0.0332562i | \(-0.989412\pi\) |
0.470923 | − | 0.882174i | \(-0.343921\pi\) | |||||||
\(332\) | 4.76702 | − | 2.76990i | 0.261624 | − | 0.152018i | ||||
\(333\) | −1.57027 | − | 0.510213i | −0.0860504 | − | 0.0279595i | ||||
\(334\) | −18.6538 | − | 8.27423i | −1.02069 | − | 0.452746i | ||||
\(335\) | −4.80022 | + | 0.504523i | −0.262264 | + | 0.0275650i | ||||
\(336\) | 4.27458 | + | 0.883832i | 0.233197 | + | 0.0482170i | ||||
\(337\) | 12.1374 | − | 3.94369i | 0.661167 | − | 0.214826i | 0.0408357 | − | 0.999166i | \(-0.486998\pi\) |
0.620332 | + | 0.784340i | \(0.286998\pi\) | |||||||
\(338\) | −12.9635 | − | 13.0364i | −0.705120 | − | 0.709088i | ||||
\(339\) | 18.4196 | − | 25.3524i | 1.00042 | − | 1.37696i | ||||
\(340\) | 0.604077 | + | 5.59799i | 0.0327607 | + | 0.303594i | ||||
\(341\) | −11.5768 | + | 34.2761i | −0.626916 | + | 1.85616i | ||||
\(342\) | −27.2078 | + | 30.3017i | −1.47123 | + | 1.63853i | ||||
\(343\) | −3.31096 | + | 4.55714i | −0.178775 | + | 0.246063i | ||||
\(344\) | 9.46141 | − | 21.4909i | 0.510125 | − | 1.15871i | ||||
\(345\) | −1.95238 | − | 1.75793i | −0.105113 | − | 0.0946440i | ||||
\(346\) | 12.0414 | + | 8.72307i | 0.647348 | + | 0.468955i | ||||
\(347\) | 13.0470 | + | 5.80890i | 0.700400 | + | 0.311838i | 0.725865 | − | 0.687838i | \(-0.241440\pi\) |
−0.0254646 | + | 0.999676i | \(0.508107\pi\) | |||||||
\(348\) | 10.2837 | − | 4.61281i | 0.551263 | − | 0.247273i | ||||
\(349\) | −11.2097 | − | 12.4496i | −0.600041 | − | 0.666414i | 0.364236 | − | 0.931307i | \(-0.381330\pi\) |
−0.964278 | + | 0.264893i | \(0.914663\pi\) | |||||||
\(350\) | 0.652776 | − | 2.01856i | 0.0348923 | − | 0.107897i | ||||
\(351\) | −1.51543 | + | 11.3273i | −0.0808879 | + | 0.604608i | ||||
\(352\) | −13.8844 | − | 12.6184i | −0.740042 | − | 0.672561i | ||||
\(353\) | 18.7219 | + | 10.8091i | 0.996467 | + | 0.575310i | 0.907201 | − | 0.420697i | \(-0.138215\pi\) |
0.0892658 | + | 0.996008i | \(0.471548\pi\) | |||||||
\(354\) | 0.198849 | + | 0.220229i | 0.0105687 | + | 0.0117051i | ||||
\(355\) | 0.344455 | + | 1.62053i | 0.0182818 | + | 0.0860089i | ||||
\(356\) | 11.4010 | − | 15.7841i | 0.604253 | − | 0.836554i | ||||
\(357\) | −1.08933 | + | 2.44668i | −0.0576535 | + | 0.129492i | ||||
\(358\) | 0.596464 | − | 5.75171i | 0.0315241 | − | 0.303987i | ||||
\(359\) | 12.2858 | − | 3.99189i | 0.648419 | − | 0.210684i | 0.0337020 | − | 0.999432i | \(-0.489270\pi\) |
0.614717 | + | 0.788748i | \(0.289270\pi\) | |||||||
\(360\) | −12.4200 | − | 5.46794i | −0.654593 | − | 0.288186i | ||||
\(361\) | −25.9435 | + | 11.5508i | −1.36545 | + | 0.607937i | ||||
\(362\) | −2.66637 | + | 12.6304i | −0.140141 | + | 0.663838i | ||||
\(363\) | −6.79440 | + | 28.6869i | −0.356613 | + | 1.50567i | ||||
\(364\) | 2.93522 | + | 0.0748707i | 0.153847 | + | 0.00392429i | ||||
\(365\) | −0.328078 | + | 0.451561i | −0.0171724 | + | 0.0236358i | ||||
\(366\) | 46.4143 | + | 26.7116i | 2.42612 | + | 1.39624i | ||||
\(367\) | −0.226769 | + | 1.06687i | −0.0118373 | + | 0.0556900i | −0.983670 | − | 0.179982i | \(-0.942396\pi\) |
0.971833 | + | 0.235672i | \(0.0757292\pi\) | |||||||
\(368\) | −2.55297 | − | 2.27319i | −0.133083 | − | 0.118498i | ||||
\(369\) | 41.3754 | − | 30.0610i | 2.15392 | − | 1.56491i | ||||
\(370\) | 0.259646 | − | 0.585357i | 0.0134983 | − | 0.0304313i | ||||
\(371\) | −0.585384 | − | 2.75401i | −0.0303916 | − | 0.142981i | ||||
\(372\) | 0.162191 | + | 58.4688i | 0.00840922 | + | 3.03147i | ||||
\(373\) | −14.3028 | + | 8.25774i | −0.740572 | + | 0.427569i | −0.822277 | − | 0.569087i | \(-0.807297\pi\) |
0.0817053 | + | 0.996657i | \(0.473963\pi\) | |||||||
\(374\) | 9.38141 | − | 6.67123i | 0.485101 | − | 0.344961i | ||||
\(375\) | −13.3486 | + | 23.1205i | −0.689320 | + | 1.19394i | ||||
\(376\) | −9.06573 | + | 2.98739i | −0.467529 | + | 0.154063i | ||||
\(377\) | 6.25710 | − | 4.28110i | 0.322257 | − | 0.220488i | ||||
\(378\) | −1.07486 | − | 1.47511i | −0.0552846 | − | 0.0758712i | ||||
\(379\) | 0.192436 | + | 1.83091i | 0.00988479 | + | 0.0940475i | 0.998352 | − | 0.0573878i | \(-0.0182771\pi\) |
−0.988467 | + | 0.151435i | \(0.951610\pi\) | |||||||
\(380\) | −10.6011 | − | 11.7083i | −0.543826 | − | 0.600621i | ||||
\(381\) | 36.9860 | + | 33.3023i | 1.89485 | + | 1.70613i | ||||
\(382\) | −14.6542 | + | 0.0203252i | −0.749773 | + | 0.00103993i | ||||
\(383\) | 0.429082 | − | 4.08244i | 0.0219251 | − | 0.208603i | −0.978075 | − | 0.208254i | \(-0.933222\pi\) |
1.00000 | 0.000349552i | \(-0.000111266\pi\) | ||||||||
\(384\) | −27.8183 | − | 12.0633i | −1.41960 | − | 0.615602i | ||||
\(385\) | 1.51884 | − | 0.304531i | 0.0774071 | − | 0.0155203i | ||||
\(386\) | −6.16393 | − | 5.53457i | −0.313736 | − | 0.281702i | ||||
\(387\) | −31.7222 | + | 14.1236i | −1.61253 | + | 0.717944i | ||||
\(388\) | 4.23530 | − | 20.2009i | 0.215015 | − | 1.02554i | ||||
\(389\) | 2.16114 | + | 6.65129i | 0.109574 | + | 0.337234i | 0.990777 | − | 0.135505i | \(-0.0432655\pi\) |
−0.881203 | + | 0.472738i | \(0.843266\pi\) | |||||||
\(390\) | −15.2398 | − | 3.67020i | −0.771699 | − | 0.185848i | ||||
\(391\) | 1.69682 | − | 1.23281i | 0.0858120 | − | 0.0623460i | ||||
\(392\) | 14.3111 | − | 12.9940i | 0.722819 | − | 0.656296i | ||||
\(393\) | 14.6749 | − | 13.2134i | 0.740252 | − | 0.666526i | ||||
\(394\) | −4.35107 | − | 20.3315i | −0.219204 | − | 1.02428i | ||||
\(395\) | − | 6.58623i | − | 0.331389i | ||||||
\(396\) | 2.65755 | + | 27.6171i | 0.133547 | + | 1.38781i | ||||
\(397\) | 6.51274 | − | 3.76013i | 0.326865 | − | 0.188716i | −0.327583 | − | 0.944822i | \(-0.606234\pi\) |
0.654448 | + | 0.756107i | \(0.272901\pi\) | |||||||
\(398\) | −1.18749 | + | 3.67203i | −0.0595233 | + | 0.184062i | ||||
\(399\) | −1.56202 | − | 7.34871i | −0.0781987 | − | 0.367896i | ||||
\(400\) | −7.29750 | + | 12.8032i | −0.364875 | + | 0.640158i | ||||
\(401\) | −22.3852 | + | 2.35278i | −1.11786 | + | 0.117492i | −0.645391 | − | 0.763853i | \(-0.723305\pi\) |
−0.472473 | + | 0.881345i | \(0.656639\pi\) | |||||||
\(402\) | 12.9153 | + | 9.35620i | 0.644159 | + | 0.466645i | ||||
\(403\) | 7.08625 | + | 38.6864i | 0.352991 | + | 1.92711i | ||||
\(404\) | −12.3624 | + | 4.05472i | −0.615051 | + | 0.201730i | ||||
\(405\) | −1.89108 | − | 4.24745i | −0.0939688 | − | 0.211057i | ||||
\(406\) | −0.250100 | + | 1.18471i | −0.0124123 | + | 0.0587960i | ||||
\(407\) | −1.30354 | + | 0.121789i | −0.0646140 | + | 0.00603685i | ||||
\(408\) | 10.8726 | − | 15.0965i | 0.538272 | − | 0.747387i | ||||
\(409\) | −3.45922 | + | 32.9122i | −0.171047 | + | 1.62741i | 0.486282 | + | 0.873802i | \(0.338353\pi\) |
−0.657329 | + | 0.753604i | \(0.728314\pi\) | |||||||
\(410\) | 9.94147 | + | 17.1641i | 0.490974 | + | 0.847675i | ||||
\(411\) | −6.57566 | − | 20.2378i | −0.324354 | − | 0.998258i | ||||
\(412\) | 1.00549 | + | 4.66676i | 0.0495369 | + | 0.229915i | ||||
\(413\) | −0.0317016 | + | 0.00333198i | −0.00155994 | + | 0.000163956i | ||||
\(414\) | 0.535368 | + | 5.02661i | 0.0263119 | + | 0.247044i | ||||
\(415\) | 0.977146 | − | 3.00735i | 0.0479662 | − | 0.147625i | ||||
\(416\) | −19.8553 | − | 4.66535i | −0.973488 | − | 0.228738i | ||||
\(417\) | 39.3112i | 1.92508i | ||||||||
\(418\) | −10.2907 | + | 30.6084i | −0.503335 | + | 1.49711i | ||||
\(419\) | −25.4970 | − | 14.7207i | −1.24561 | − | 0.719154i | −0.275381 | − | 0.961335i | \(-0.588804\pi\) |
−0.970231 | + | 0.242181i | \(0.922137\pi\) | |||||||
\(420\) | 2.16461 | − | 1.25776i | 0.105622 | − | 0.0613723i | ||||
\(421\) | −9.65014 | − | 3.13552i | −0.470319 | − | 0.152816i | 0.0642622 | − | 0.997933i | \(-0.479531\pi\) |
−0.534581 | + | 0.845117i | \(0.679531\pi\) | |||||||
\(422\) | 1.62752 | − | 3.66917i | 0.0792266 | − | 0.178612i | ||||
\(423\) | 12.8952 | + | 5.74130i | 0.626984 | + | 0.279151i | ||||
\(424\) | 0.0813801 | + | 19.5579i | 0.00395217 | + | 0.949816i | ||||
\(425\) | −6.71956 | − | 6.05032i | −0.325947 | − | 0.293484i | ||||
\(426\) | 2.73051 | − | 4.74456i | 0.132293 | − | 0.229875i | ||||
\(427\) | −5.25565 | + | 2.33997i | −0.254339 | + | 0.113239i | ||||
\(428\) | 15.1772 | − | 11.0914i | 0.733620 | − | 0.536121i | ||||
\(429\) | 8.68184 | + | 30.8504i | 0.419163 | + | 1.48947i | ||||
\(430\) | −4.17945 | − | 12.8026i | −0.201551 | − | 0.617395i | ||||
\(431\) | −11.0332 | − | 24.7809i | −0.531448 | − | 1.19365i | −0.957363 | − | 0.288889i | \(-0.906714\pi\) |
0.425914 | − | 0.904764i | \(-0.359953\pi\) | |||||||
\(432\) | 5.22099 | + | 11.5536i | 0.251195 | + | 0.555873i | ||||
\(433\) | 2.98525 | − | 3.31546i | 0.143462 | − | 0.159331i | −0.667131 | − | 0.744940i | \(-0.732478\pi\) |
0.810593 | + | 0.585609i | \(0.199145\pi\) | |||||||
\(434\) | −5.08678 | − | 3.68499i | −0.244173 | − | 0.176885i | ||||
\(435\) | 2.62926 | − | 5.90541i | 0.126063 | − | 0.283143i | ||||
\(436\) | 2.68343 | − | 26.2309i | 0.128513 | − | 1.25623i | ||||
\(437\) | −1.81811 | + | 5.59558i | −0.0869722 | + | 0.267673i | ||||
\(438\) | 1.80343 | − | 0.385946i | 0.0861712 | − | 0.0184412i | ||||
\(439\) | 1.57498 | − | 2.72795i | 0.0751697 | − | 0.130198i | −0.825990 | − | 0.563684i | \(-0.809383\pi\) |
0.901160 | + | 0.433487i | \(0.142717\pi\) | |||||||
\(440\) | −10.7603 | − | 0.0796253i | −0.512975 | − | 0.00379599i | ||||
\(441\) | −28.5853 | −1.36120 | ||||||||
\(442\) | 5.39559 | − | 11.2915i | 0.256642 | − | 0.537081i | ||||
\(443\) | −8.16378 | − | 2.65257i | −0.387873 | − | 0.126028i | 0.108587 | − | 0.994087i | \(-0.465367\pi\) |
−0.496461 | + | 0.868059i | \(0.665367\pi\) | |||||||
\(444\) | −1.93054 | + | 0.865958i | −0.0916196 | + | 0.0410966i | ||||
\(445\) | −1.16731 | − | 11.1062i | −0.0553358 | − | 0.526485i | ||||
\(446\) | −27.9310 | − | 2.89650i | −1.32257 | − | 0.137153i | ||||
\(447\) | −35.1734 | + | 11.4285i | −1.66365 | + | 0.540551i | ||||
\(448\) | 2.80734 | − | 1.65212i | 0.132634 | − | 0.0780552i | ||||
\(449\) | −29.1714 | − | 3.06603i | −1.37668 | − | 0.144695i | −0.612895 | − | 0.790164i | \(-0.709995\pi\) |
−0.763786 | + | 0.645469i | \(0.776662\pi\) | |||||||
\(450\) | 20.7168 | − | 6.76309i | 0.976601 | − | 0.318815i | ||||
\(451\) | 20.6813 | − | 34.8835i | 0.973847 | − | 1.64260i | ||||
\(452\) | −2.50897 | − | 23.2506i | −0.118012 | − | 1.09362i | ||||
\(453\) | −15.7239 | + | 7.00074i | −0.738774 | + | 0.328923i | ||||
\(454\) | 29.8857 | − | 0.0414510i | 1.40260 | − | 0.00194539i | ||||
\(455\) | 1.28282 | − | 1.09099i | 0.0601397 | − | 0.0511465i | ||||
\(456\) | 0.217152 | + | 52.1876i | 0.0101691 | + | 2.44391i | ||||
\(457\) | 0.308925 | + | 2.93922i | 0.0144509 | + | 0.137491i | 0.999369 | − | 0.0355330i | \(-0.0113129\pi\) |
−0.984918 | + | 0.173024i | \(0.944646\pi\) | |||||||
\(458\) | 0.895106 | + | 8.40421i | 0.0418255 | + | 0.392703i | ||||
\(459\) | −7.60914 | + | 1.61737i | −0.355164 | + | 0.0754925i | ||||
\(460\) | −1.96055 | + | 0.00543852i | −0.0914109 | + | 0.000253572i | ||||
\(461\) | −15.1771 | − | 26.2875i | −0.706869 | − | 1.22433i | −0.966013 | − | 0.258494i | \(-0.916774\pi\) |
0.259144 | − | 0.965839i | \(-0.416559\pi\) | |||||||
\(462\) | −4.40641 | − | 2.60417i | −0.205005 | − | 0.121157i | ||||
\(463\) | −30.7756 | −1.43026 | −0.715131 | − | 0.698990i | \(-0.753633\pi\) | ||||
−0.715131 | + | 0.698990i | \(0.753633\pi\) | |||||||
\(464\) | 3.37835 | − | 7.70262i | 0.156836 | − | 0.357585i | ||||
\(465\) | 22.4388 | + | 24.9208i | 1.04058 | + | 1.15568i | ||||
\(466\) | 1.73432 | + | 16.2836i | 0.0803407 | + | 0.754325i | ||||
\(467\) | 18.9699 | + | 26.1099i | 0.877824 | + | 1.20822i | 0.977019 | + | 0.213153i | \(0.0683734\pi\) |
−0.0991946 | + | 0.995068i | \(0.531627\pi\) | |||||||
\(468\) | 17.1006 | + | 24.8455i | 0.790476 | + | 1.14848i | ||||
\(469\) | −1.62945 | + | 0.529439i | −0.0752408 | + | 0.0244472i | ||||
\(470\) | −2.73071 | + | 4.74492i | −0.125958 | + | 0.218867i | ||||
\(471\) | 12.6647 | + | 28.4454i | 0.583558 | + | 1.31069i | ||||
\(472\) | 0.220309 | + | 0.0222290i | 0.0101405 | + | 0.00102317i | ||||
\(473\) | −18.6594 | + | 20.2477i | −0.857961 | + | 0.930989i | ||||
\(474\) | −14.5393 | + | 16.1926i | −0.667811 | + | 0.743751i | ||||
\(475\) | 25.2256 | + | 2.65132i | 1.15743 | + | 0.121651i | ||||
\(476\) | 0.622883 | + | 1.89909i | 0.0285498 | + | 0.0870448i | ||||
\(477\) | 19.3529 | − | 21.4936i | 0.886109 | − | 0.984123i | ||||
\(478\) | −12.7537 | + | 5.69954i | −0.583343 | + | 0.260691i | ||||
\(479\) | −25.8013 | + | 2.71182i | −1.17889 | + | 0.123906i | −0.673635 | − | 0.739064i | \(-0.735268\pi\) |
−0.505255 | + | 0.862970i | \(0.668601\pi\) | |||||||
\(480\) | −16.5017 | + | 5.48852i | −0.753194 | + | 0.250515i | ||||
\(481\) | −1.17464 | + | 0.803687i | −0.0535589 | + | 0.0366450i | ||||
\(482\) | 35.2004 | + | 11.3834i | 1.60333 | + | 0.518497i | ||||
\(483\) | −0.807625 | − | 0.466283i | −0.0367482 | − | 0.0212166i | ||||
\(484\) | 10.6101 | + | 19.2724i | 0.482276 | + | 0.876019i | ||||
\(485\) | −5.91895 | − | 10.2519i | −0.268766 | − | 0.465516i | ||||
\(486\) | −8.86480 | + | 27.4124i | −0.402116 | + | 1.24345i | ||||
\(487\) | 26.0727 | − | 5.54193i | 1.18147 | − | 0.251129i | 0.425021 | − | 0.905184i | \(-0.360267\pi\) |
0.756447 | + | 0.654055i | \(0.226934\pi\) | |||||||
\(488\) | 39.0551 | − | 8.47141i | 1.76794 | − | 0.383483i | ||||
\(489\) | −24.9909 | − | 34.3970i | −1.13013 | − | 1.55549i | ||||
\(490\) | 1.14357 | − | 11.0274i | 0.0516611 | − | 0.498168i | ||||
\(491\) | 0.0611686 | + | 0.0130018i | 0.00276050 | + | 0.000586763i | 0.209292 | − | 0.977853i | \(-0.432884\pi\) |
−0.206531 | + | 0.978440i | \(0.566218\pi\) | |||||||
\(492\) | 13.4486 | − | 64.1450i | 0.606308 | − | 2.89188i | ||||
\(493\) | 4.17507 | + | 3.03337i | 0.188036 | + | 0.136616i | ||||
\(494\) | 6.37291 | + | 34.5218i | 0.286731 | + | 1.55321i | ||||
\(495\) | 11.7016 | + | 10.7837i | 0.525946 | + | 0.484690i | ||||
\(496\) | 29.3755 | + | 32.2630i | 1.31900 | + | 1.44865i | ||||
\(497\) | 0.239196 | + | 0.537243i | 0.0107294 | + | 0.0240986i | ||||
\(498\) | −9.04116 | + | 5.23665i | −0.405144 | + | 0.234660i | ||||
\(499\) | −3.45934 | − | 10.6468i | −0.154861 | − | 0.476614i | 0.843285 | − | 0.537466i | \(-0.180618\pi\) |
−0.998147 | + | 0.0608517i | \(0.980618\pi\) | |||||||
\(500\) | 4.19626 | + | 19.4760i | 0.187662 | + | 0.870994i | ||||
\(501\) | 35.3287 | + | 15.7294i | 1.57837 | + | 0.702736i | ||||
\(502\) | −5.20242 | + | 3.79081i | −0.232195 | + | 0.169192i | ||||
\(503\) | −20.6166 | + | 4.38220i | −0.919249 | + | 0.195392i | −0.643153 | − | 0.765738i | \(-0.722374\pi\) |
−0.276096 | + | 0.961130i | \(0.589041\pi\) | |||||||
\(504\) | −4.71589 | − | 0.981903i | −0.210063 | − | 0.0437374i | ||||
\(505\) | −3.73097 | + | 6.46223i | −0.166026 | + | 0.287566i | ||||
\(506\) | 1.96876 | + | 3.49155i | 0.0875221 | + | 0.155218i | ||||
\(507\) | 24.5326 | + | 24.7391i | 1.08953 | + | 1.09870i | ||||
\(508\) | 37.1406 | − | 0.103027i | 1.64785 | − | 0.00457110i | ||||
\(509\) | 26.2444 | − | 23.6306i | 1.16326 | − | 1.04741i | 0.165135 | − | 0.986271i | \(-0.447194\pi\) |
0.998129 | − | 0.0611369i | \(-0.0194726\pi\) | |||||||
\(510\) | −1.13006 | − | 10.6102i | −0.0500400 | − | 0.469829i | ||||
\(511\) | −0.0805859 | + | 0.180999i | −0.00356491 | + | 0.00800692i | ||||
\(512\) | −21.4310 | + | 7.26034i | −0.947125 | + | 0.320865i | ||||
\(513\) | 14.6017 | − | 16.2168i | 0.644679 | − | 0.715989i | ||||
\(514\) | −30.5560 | + | 17.6981i | −1.34777 | + | 0.780629i | ||||
\(515\) | 2.21508 | + | 1.60935i | 0.0976082 | + | 0.0709165i | ||||
\(516\) | −17.9866 | + | 40.7021i | −0.791816 | + | 1.79181i | ||||
\(517\) | 11.1921 | + | 0.129395i | 0.492226 | + | 0.00569077i | ||||
\(518\) | 0.0469511 | − | 0.222404i | 0.00206291 | − | 0.00977187i | ||||
\(519\) | −22.7964 | − | 16.5626i | −1.00065 | − | 0.727016i | ||||
\(520\) | −10.2688 | + | 5.60300i | −0.450317 | + | 0.245708i | ||||
\(521\) | −4.20229 | − | 12.9333i | −0.184106 | − | 0.566619i | 0.815826 | − | 0.578297i | \(-0.196283\pi\) |
−0.999932 | + | 0.0116782i | \(0.996283\pi\) | |||||||
\(522\) | −11.3557 | + | 5.07477i | −0.497026 | + | 0.222117i | ||||
\(523\) | 2.52379 | + | 24.0123i | 0.110358 | + | 1.04998i | 0.899843 | + | 0.436213i | \(0.143681\pi\) |
−0.789486 | + | 0.613769i | \(0.789653\pi\) | |||||||
\(524\) | 1.49971 | − | 14.6598i | 0.0655150 | − | 0.640418i | ||||
\(525\) | −1.24237 | + | 3.82362i | −0.0542214 | + | 0.166876i | ||||
\(526\) | −6.41206 | − | 29.9620i | −0.279579 | − | 1.30640i | ||||
\(527\) | −23.1850 | + | 13.3858i | −1.00995 | + | 0.583096i | ||||
\(528\) | 26.2789 | + | 23.9493i | 1.14364 | + | 1.04226i | ||||
\(529\) | −11.1348 | − | 19.2861i | −0.484124 | − | 0.838527i | ||||
\(530\) | 7.51741 | + | 8.32568i | 0.326536 | + | 0.361644i | ||||
\(531\) | −0.219105 | − | 0.243340i | −0.00950833 | − | 0.0105601i | ||||
\(532\) | −4.54490 | − | 3.28284i | −0.197046 | − | 0.142329i | ||||
\(533\) | 1.24642 | − | 44.0686i | 0.0539884 | − | 1.90882i | ||||
\(534\) | −21.6474 | + | 29.8821i | −0.936773 | + | 1.29312i | ||||
\(535\) | 2.24158 | − | 10.5458i | 0.0969122 | − | 0.455936i | ||||
\(536\) | 11.8309 | − | 1.29327i | 0.511018 | − | 0.0558609i | ||||
\(537\) | −1.14547 | + | 10.8984i | −0.0494305 | + | 0.470300i | ||||
\(538\) | 5.87411 | − | 1.91762i | 0.253251 | − | 0.0826747i | ||||
\(539\) | −20.8121 | + | 8.97930i | −0.896440 | + | 0.386766i | ||||
\(540\) | 6.65114 | + | 2.93920i | 0.286219 | + | 0.126483i | ||||
\(541\) | −18.8630 | − | 13.7048i | −0.810985 | − | 0.589215i | 0.103131 | − | 0.994668i | \(-0.467114\pi\) |
−0.914116 | + | 0.405453i | \(0.867114\pi\) | |||||||
\(542\) | −12.5704 | − | 21.7030i | −0.539944 | − | 0.932222i | ||||
\(543\) | 5.08618 | − | 23.9286i | 0.218269 | − | 1.02687i | ||||
\(544\) | −1.54694 | − | 13.7970i | −0.0663243 | − | 0.591542i | ||||
\(545\) | −8.88907 | − | 12.2348i | −0.380766 | − | 0.524079i | ||||
\(546\) | −5.56229 | − | 0.149601i | −0.238044 | − | 0.00640234i | ||||
\(547\) | 6.25714 | − | 19.2575i | 0.267536 | − | 0.823390i | −0.723563 | − | 0.690259i | \(-0.757497\pi\) |
0.991098 | − | 0.133132i | \(-0.0425033\pi\) | |||||||
\(548\) | −13.7743 | − | 7.90171i | −0.588407 | − | 0.337544i | ||||
\(549\) | −51.1801 | − | 29.5488i | −2.18431 | − | 1.26111i | ||||
\(550\) | 12.9589 | − | 11.4317i | 0.552568 | − | 0.487447i | ||||
\(551\) | −14.4766 | −0.616724 | ||||||||
\(552\) | 4.83212 | + | 4.31459i | 0.205669 | + | 0.183641i | ||||
\(553\) | −0.486075 | − | 2.28680i | −0.0206700 | − | 0.0972447i | ||||
\(554\) | −17.0668 | + | 12.4359i | −0.725097 | + | 0.528352i | ||||
\(555\) | −0.493588 | + | 1.10862i | −0.0209516 | + | 0.0470581i | ||||
\(556\) | 19.6901 | + | 21.7465i | 0.835046 | + | 0.922255i | ||||
\(557\) | −34.3484 | − | 7.30097i | −1.45539 | − | 0.309352i | −0.588760 | − | 0.808308i | \(-0.700384\pi\) |
−0.866627 | + | 0.498956i | \(0.833717\pi\) | |||||||
\(558\) | −0.0894940 | − | 64.5240i | −0.00378858 | − | 2.73152i | ||||
\(559\) | −7.04872 | + | 29.0913i | −0.298129 | + | 1.23043i | ||||
\(560\) | 0.567453 | − | 1.77998i | 0.0239793 | − | 0.0752180i | ||||
\(561\) | −17.7961 | + | 12.6179i | −0.751350 | + | 0.532726i | ||||
\(562\) | 5.71022 | − | 27.0489i | 0.240871 | − | 1.14099i | ||||
\(563\) | −2.39960 | + | 22.8307i | −0.101131 | + | 0.962197i | 0.819847 | + | 0.572583i | \(0.194058\pi\) |
−0.920978 | + | 0.389615i | \(0.872608\pi\) | |||||||
\(564\) | 17.1881 | − | 5.63752i | 0.723751 | − | 0.237383i | ||||
\(565\) | −9.96749 | − | 8.97477i | −0.419335 | − | 0.377571i | ||||
\(566\) | 27.0506 | + | 2.80521i | 1.13702 | + | 0.117912i | ||||
\(567\) | −0.970071 | − | 1.33519i | −0.0407392 | − | 0.0560727i | ||||
\(568\) | −0.865964 | − | 3.99229i | −0.0363350 | − | 0.167513i | ||||
\(569\) | 9.31634 | − | 8.38847i | 0.390561 | − | 0.351663i | −0.450335 | − | 0.892860i | \(-0.648695\pi\) |
0.840896 | + | 0.541197i | \(0.182029\pi\) | |||||||
\(570\) | 20.0592 | + | 22.2160i | 0.840187 | + | 0.930524i | ||||
\(571\) | 25.3428 | 1.06056 | 0.530281 | − | 0.847822i | \(-0.322086\pi\) | ||||
0.530281 | + | 0.847822i | \(0.322086\pi\) | |||||||
\(572\) | 20.2550 | + | 12.7175i | 0.846903 | + | 0.531747i | ||||
\(573\) | 27.7709 | 1.16015 | ||||||||
\(574\) | 4.71851 | + | 5.22585i | 0.196947 | + | 0.218123i | ||||
\(575\) | 2.33977 | − | 2.10674i | 0.0975752 | − | 0.0878571i | ||||
\(576\) | 30.6807 | + | 13.3551i | 1.27836 | + | 0.556463i | ||||
\(577\) | −17.8354 | − | 24.5483i | −0.742497 | − | 1.02196i | −0.998471 | − | 0.0552762i | \(-0.982396\pi\) |
0.255974 | − | 0.966684i | \(-0.417604\pi\) | |||||||
\(578\) | −15.4404 | − | 1.60120i | −0.642235 | − | 0.0666011i | ||||
\(579\) | 11.6666 | + | 10.5047i | 0.484847 | + | 0.436558i | ||||
\(580\) | −1.50342 | − | 4.58374i | −0.0624260 | − | 0.190329i | ||||
\(581\) | 0.117327 | − | 1.11629i | 0.00486756 | − | 0.0463117i | ||||
\(582\) | −8.07933 | + | 38.2712i | −0.334899 | + | 1.58639i | ||||
\(583\) | 7.33864 | − | 21.7280i | 0.303935 | − | 0.899883i | ||||
\(584\) | 0.804323 | − | 1.11680i | 0.0332831 | − | 0.0462135i | ||||
\(585\) | 16.8124 | + | 4.07360i | 0.695109 | + | 0.168423i | ||||
\(586\) | 0.00391533 | + | 2.82290i | 0.000161741 | + | 0.116613i | ||||
\(587\) | 33.5124 | + | 7.12328i | 1.38320 | + | 0.294009i | 0.838629 | − | 0.544703i | \(-0.183358\pi\) |
0.544575 | + | 0.838712i | \(0.316691\pi\) | |||||||
\(588\) | −27.1548 | + | 24.5871i | −1.11985 | + | 1.01395i | ||||
\(589\) | 30.5456 | − | 68.6066i | 1.25861 | − | 2.82689i | ||||
\(590\) | 0.102639 | − | 0.0747896i | 0.00422560 | − | 0.00307904i | ||||
\(591\) | 8.19219 | + | 38.5412i | 0.336982 | + | 1.58537i | ||||
\(592\) | −0.634214 | + | 1.44600i | −0.0260660 | + | 0.0594304i | ||||
\(593\) | 13.5707 | 0.557282 | 0.278641 | − | 0.960395i | \(-0.410116\pi\) | ||||
0.278641 | + | 0.960395i | \(0.410116\pi\) | |||||||
\(594\) | −1.40351 | − | 14.8005i | −0.0575867 | − | 0.607271i | ||||
\(595\) | 0.992721 | + | 0.573148i | 0.0406976 | + | 0.0234968i | ||||
\(596\) | −13.7332 | + | 23.9397i | −0.562534 | + | 0.980609i | ||||
\(597\) | 2.26003 | − | 6.95566i | 0.0924969 | − | 0.284676i | ||||
\(598\) | 3.71381 | + | 2.27945i | 0.151869 | + | 0.0932135i | ||||
\(599\) | −11.5906 | − | 15.9531i | −0.473578 | − | 0.651824i | 0.503677 | − | 0.863892i | \(-0.331980\pi\) |
−0.977255 | + | 0.212068i | \(0.931980\pi\) | |||||||
\(600\) | 13.8630 | − | 24.2438i | 0.565955 | − | 0.989751i | ||||
\(601\) | −7.95436 | + | 37.4223i | −0.324465 | + | 1.52649i | 0.449512 | + | 0.893274i | \(0.351598\pi\) |
−0.773977 | + | 0.633214i | \(0.781735\pi\) | |||||||
\(602\) | −2.39600 | − | 4.13673i | −0.0976535 | − | 0.168600i | ||||
\(603\) | −14.2385 | − | 10.3449i | −0.579837 | − | 0.421276i | ||||
\(604\) | −5.19176 | + | 11.7485i | −0.211250 | + | 0.478039i | ||||
\(605\) | 11.9070 | + | 4.17553i | 0.484086 | + | 0.169760i | ||||
\(606\) | 23.4383 | − | 7.65154i | 0.952118 | − | 0.310822i | ||||
\(607\) | 3.00927 | − | 28.6313i | 0.122143 | − | 1.16211i | −0.746053 | − | 0.665887i | \(-0.768053\pi\) |
0.868195 | − | 0.496222i | \(-0.165280\pi\) | |||||||
\(608\) | 26.2598 | + | 28.7608i | 1.06497 | + | 1.16640i | ||||
\(609\) | 0.477074 | − | 2.24446i | 0.0193320 | − | 0.0909500i | ||||
\(610\) | 13.4466 | − | 18.5618i | 0.544437 | − | 0.751543i | ||||
\(611\) | 10.7055 | − | 5.78357i | 0.433097 | − | 0.233978i | ||||
\(612\) | −12.0216 | + | 16.6432i | −0.485945 | + | 0.672762i | ||||
\(613\) | 19.5383 | + | 21.6995i | 0.789145 | + | 0.876434i | 0.994764 | − | 0.102198i | \(-0.0325875\pi\) |
−0.205619 | + | 0.978632i | \(0.565921\pi\) | |||||||
\(614\) | 1.62673 | + | 1.80164i | 0.0656495 | + | 0.0727081i | ||||
\(615\) | −18.7948 | − | 32.5535i | −0.757878 | − | 1.31268i | ||||
\(616\) | −3.74194 | + | 0.766478i | −0.150767 | + | 0.0308823i | ||||
\(617\) | 2.68911 | − | 1.55256i | 0.108259 | − | 0.0625036i | −0.444893 | − | 0.895584i | \(-0.646758\pi\) |
0.553152 | + | 0.833080i | \(0.313425\pi\) | |||||||
\(618\) | −1.89322 | − | 8.84653i | −0.0761564 | − | 0.355860i | ||||
\(619\) | 3.76261 | − | 11.5801i | 0.151232 | − | 0.465445i | −0.846527 | − | 0.532345i | \(-0.821311\pi\) |
0.997760 | + | 0.0669001i | \(0.0213109\pi\) | |||||||
\(620\) | 24.8952 | + | 2.54679i | 0.999814 | + | 0.102281i | ||||
\(621\) | −0.283138 | − | 2.69388i | −0.0113619 | − | 0.108102i | ||||
\(622\) | 17.7003 | − | 7.91012i | 0.709717 | − | 0.317167i | ||||
\(623\) | −1.22496 | − | 3.77003i | −0.0490769 | − | 0.151043i | ||||
\(624\) | 37.6152 | + | 8.89340i | 1.50581 | + | 0.356021i | ||||
\(625\) | −5.65864 | − | 4.11124i | −0.226345 | − | 0.164450i | ||||
\(626\) | 4.89610 | − | 23.1925i | 0.195688 | − | 0.926958i | ||||
\(627\) | 19.5822 | − | 57.9783i | 0.782036 | − | 2.31543i | ||||
\(628\) | 21.2536 | + | 9.39217i | 0.848112 | + | 0.374788i | ||||
\(629\) | −0.783782 | − | 0.569451i | −0.0312515 | − | 0.0227055i | ||||
\(630\) | −2.39070 | + | 1.38470i | −0.0952478 | + | 0.0551676i | ||||
\(631\) | 23.8778 | − | 26.5190i | 0.950562 | − | 1.05571i | −0.0478208 | − | 0.998856i | \(-0.515228\pi\) |
0.998383 | − | 0.0568500i | \(-0.0181057\pi\) | |||||||
\(632\) | 0.0675742 | + | 16.2399i | 0.00268796 | + | 0.645990i | ||||
\(633\) | −3.09393 | + | 6.94909i | −0.122973 | + | 0.276201i | ||||
\(634\) | 4.25052 | + | 39.9085i | 0.168810 | + | 1.58497i | ||||
\(635\) | 15.8302 | − | 14.2536i | 0.628204 | − | 0.565637i | ||||
\(636\) | −0.102815 | − | 37.0640i | −0.00407688 | − | 1.46968i | ||||
\(637\) | −15.0415 | + | 19.5176i | −0.595966 | + | 0.773316i | ||||
\(638\) | −6.67365 | + | 7.26188i | −0.264212 | + | 0.287501i | ||||
\(639\) | −3.02054 | + | 5.23172i | −0.119491 | + | 0.206964i | ||||
\(640\) | −6.37943 | + | 11.3015i | −0.252169 | + | 0.446731i | ||||
\(641\) | −43.3102 | + | 9.20587i | −1.71065 | + | 0.363610i | −0.956193 | − | 0.292738i | \(-0.905433\pi\) |
−0.754458 | + | 0.656348i | \(0.772100\pi\) | |||||||
\(642\) | −28.7912 | + | 20.9791i | −1.13630 | + | 0.827981i | ||||
\(643\) | −27.6709 | − | 12.3199i | −1.09123 | − | 0.485849i | −0.219393 | − | 0.975637i | \(-0.570408\pi\) |
−0.871842 | + | 0.489788i | \(0.837074\pi\) | |||||||
\(644\) | −0.680319 | + | 0.146580i | −0.0268083 | + | 0.00577606i | ||||
\(645\) | 7.88674 | + | 24.2729i | 0.310540 | + | 0.955744i | ||||
\(646\) | −20.6778 | + | 11.9766i | −0.813556 | + | 0.471212i | ||||
\(647\) | 10.6220 | + | 23.8575i | 0.417595 | + | 0.937934i | 0.992784 | + | 0.119914i | \(0.0382618\pi\) |
−0.575189 | + | 0.818021i | \(0.695072\pi\) | |||||||
\(648\) | 4.70651 | + | 10.4537i | 0.184889 | + | 0.410661i | ||||
\(649\) | −0.235962 | − | 0.108343i | −0.00926234 | − | 0.00425283i | ||||
\(650\) | 6.28341 | − | 17.7039i | 0.246455 | − | 0.694403i | ||||
\(651\) | 9.63017 | + | 6.99673i | 0.377436 | + | 0.274223i | ||||
\(652\) | −31.0534 | − | 6.51062i | −1.21614 | − | 0.254975i | ||||
\(653\) | 37.4446 | + | 7.95909i | 1.46532 | + | 0.311463i | 0.870409 | − | 0.492330i | \(-0.163854\pi\) |
0.594910 | + | 0.803793i | \(0.297188\pi\) | |||||||
\(654\) | −5.15427 | + | 49.7027i | −0.201548 | + | 1.94353i | ||||
\(655\) | −4.96788 | − | 6.83771i | −0.194111 | − | 0.267171i | ||||
\(656\) | −24.6892 | − | 42.2203i | −0.963952 | − | 1.64843i | ||||
\(657\) | −1.99078 | + | 0.423154i | −0.0776678 | + | 0.0165088i | ||||
\(658\) | −0.597946 | + | 1.84901i | −0.0233104 | + | 0.0720820i | ||||
\(659\) | −2.86399 | − | 4.96057i | −0.111565 | − | 0.193236i | 0.804836 | − | 0.593497i | \(-0.202253\pi\) |
−0.916401 | + | 0.400260i | \(0.868920\pi\) | |||||||
\(660\) | 20.3913 | + | 0.179179i | 0.793732 | + | 0.00697454i | ||||
\(661\) | 30.8358 | + | 17.8031i | 1.19937 | + | 0.692459i | 0.960416 | − | 0.278571i | \(-0.0898607\pi\) |
0.238958 | + | 0.971030i | \(0.423194\pi\) | |||||||
\(662\) | 25.8777 | + | 8.36851i | 1.00576 | + | 0.325251i | ||||
\(663\) | −10.2548 | + | 21.3841i | −0.398262 | + | 0.830489i | ||||
\(664\) | −2.37854 | + | 7.42537i | −0.0923051 | + | 0.288160i | ||||
\(665\) | −3.19795 | + | 0.336118i | −0.124011 | + | 0.0130341i | ||||
\(666\) | 2.13179 | − | 0.952681i | 0.0826054 | − | 0.0369156i | ||||
\(667\) | −1.20240 | + | 1.33540i | −0.0465572 | + | 0.0517070i | ||||
\(668\) | 27.4219 | − | 8.99409i | 1.06099 | − | 0.347992i | ||||
\(669\) | 52.9238 | + | 5.56251i | 2.04615 | + | 0.215059i | ||||
\(670\) | 4.56039 | − | 5.07898i | 0.176183 | − | 0.196218i | ||||
\(671\) | −46.5447 | − | 5.43676i | −1.79684 | − | 0.209884i | ||||
\(672\) | −5.32447 | + | 3.12352i | −0.205396 | + | 0.120492i | ||||
\(673\) | 6.45541 | + | 14.4991i | 0.248838 | + | 0.558898i | 0.994174 | − | 0.107791i | \(-0.0343776\pi\) |
−0.745336 | + | 0.666689i | \(0.767711\pi\) | |||||||
\(674\) | −9.00244 | + | 15.6427i | −0.346761 | + | 0.602536i | ||||
\(675\) | −11.1060 | + | 3.60857i | −0.427471 | + | 0.138894i | ||||
\(676\) | 25.9624 | + | 1.39756i | 0.998554 | + | 0.0537524i | ||||
\(677\) | 5.26619 | + | 7.24829i | 0.202396 | + | 0.278574i | 0.898134 | − | 0.439721i | \(-0.144923\pi\) |
−0.695738 | + | 0.718295i | \(0.744923\pi\) | |||||||
\(678\) | 4.69359 | + | 44.0684i | 0.180256 | + | 1.69244i | ||||
\(679\) | −2.81173 | − | 3.12274i | −0.107904 | − | 0.119840i | ||||
\(680\) | −5.93957 | − | 5.30343i | −0.227772 | − | 0.203377i | ||||
\(681\) | −56.6358 | −2.17029 | ||||||||
\(682\) | −20.3337 | − | 46.9499i | −0.778616 | − | 1.79780i | ||||
\(683\) | −1.26276 | − | 2.18716i | −0.0483182 | − | 0.0836895i | 0.840855 | − | 0.541261i | \(-0.182053\pi\) |
−0.889173 | + | 0.457571i | \(0.848719\pi\) | |||||||
\(684\) | −0.159760 | − | 57.5925i | −0.00610859 | − | 2.20210i | ||||
\(685\) | −8.90865 | + | 1.89359i | −0.340382 | + | 0.0723504i | ||||
\(686\) | −0.843680 | − | 7.92137i | −0.0322118 | − | 0.302439i | ||||
\(687\) | −1.67421 | − | 15.9290i | −0.0638750 | − | 0.607730i | ||||
\(688\) | 10.4368 | + | 31.5250i | 0.397900 | + | 1.20188i | ||||
\(689\) | −4.49206 | − | 24.5237i | −0.171134 | − | 0.934280i | ||||
\(690\) | 3.71541 | − | 0.00515322i | 0.141443 | − | 0.000196180i | ||||
\(691\) | −40.9692 | + | 18.2407i | −1.55854 | + | 0.693908i | −0.991539 | − | 0.129807i | \(-0.958564\pi\) |
−0.567004 | + | 0.823715i | \(0.691897\pi\) | |||||||
\(692\) | −20.9065 | + | 2.25602i | −0.794747 | + | 0.0857609i | ||||
\(693\) | 4.85874 | + | 2.88060i | 0.184568 | + | 0.109425i | ||||
\(694\) | −19.2002 | + | 6.26798i | −0.728830 | + | 0.237929i | ||||
\(695\) | 16.7333 | + | 1.75874i | 0.634728 | + | 0.0667126i | ||||
\(696\) | −6.42249 | + | 14.5882i | −0.243444 | + | 0.552964i | ||||
\(697\) | 28.5404 | − | 9.27334i | 1.08104 | − | 0.351253i | ||||
\(698\) | 23.5654 | + | 2.44378i | 0.891965 | + | 0.0924986i | ||||
\(699\) | −3.24387 | − | 30.8634i | −0.122694 | − | 1.16736i | ||||
\(700\) | 1.22790 | + | 2.73745i | 0.0464104 | + | 0.103466i | ||||
\(701\) | −15.6750 | − | 5.09312i | −0.592037 | − | 0.192364i | −0.00235118 | − | 0.999997i | \(-0.500748\pi\) |
−0.589686 | + | 0.807633i | \(0.700748\pi\) | |||||||
\(702\) | −9.14480 | − | 13.3260i | −0.345148 | − | 0.502958i | ||||
\(703\) | 2.71768 | 0.102499 | ||||||||
\(704\) | 26.5329 | + | 0.0859363i | 0.999995 | + | 0.00323884i | ||||
\(705\) | 5.18739 | − | 8.98482i | 0.195368 | − | 0.338388i | ||||
\(706\) | −29.8958 | + | 6.39790i | −1.12514 | + | 0.240788i | ||||
\(707\) | −0.818505 | + | 2.51910i | −0.0307831 | + | 0.0947405i | ||||
\(708\) | −0.417445 | − | 0.0427048i | −0.0156885 | − | 0.00160494i | ||||
\(709\) | −12.1369 | + | 27.2600i | −0.455812 | + | 1.02377i | 0.528757 | + | 0.848773i | \(0.322658\pi\) |
−0.984569 | + | 0.174997i | \(0.944008\pi\) | |||||||
\(710\) | −1.89742 | − | 1.37454i | −0.0712088 | − | 0.0515855i | ||||
\(711\) | 16.0697 | − | 17.8472i | 0.602662 | − | 0.669324i | ||||
\(712\) | 2.99224 | + | 27.3731i | 0.112139 | + | 1.02585i | ||||
\(713\) | −3.79159 | − | 8.51605i | −0.141996 | − | 0.318929i | ||||
\(714\) | −1.17542 | − | 3.60057i | −0.0439890 | − | 0.134748i | ||||
\(715\) | 13.5203 | − | 2.31531i | 0.505629 | − | 0.0865878i | ||||
\(716\) | 4.82510 | + | 6.60259i | 0.180323 | + | 0.246750i | ||||
\(717\) | 24.1844 | − | 10.7676i | 0.903182 | − | 0.402122i | ||||
\(718\) | −9.11248 | + | 15.8340i | −0.340075 | + | 0.590918i | ||||
\(719\) | 23.0838 | + | 20.7847i | 0.860879 | + | 0.775139i | 0.975899 | − | 0.218224i | \(-0.0700263\pi\) |
−0.115019 | + | 0.993363i | \(0.536693\pi\) | |||||||
\(720\) | 18.2189 | − | 6.03165i | 0.678980 | − | 0.224786i | ||||
\(721\) | 0.887871 | + | 0.395306i | 0.0330660 | + | 0.0147219i | ||||
\(722\) | 16.2844 | − | 36.7123i | 0.606042 | − | 1.36629i | ||||
\(723\) | −66.6777 | − | 21.6649i | −2.47977 | − | 0.805726i | ||||
\(724\) | −9.17169 | − | 15.7846i | −0.340863 | − | 0.586628i | ||||
\(725\) | 6.70901 | + | 3.87345i | 0.249166 | + | 0.143856i | ||||
\(726\) | −20.0563 | − | 36.5507i | −0.744359 | − | 1.35652i | ||||
\(727\) | 30.0752i | 1.11543i | 0.830033 | + | 0.557714i | \(0.188321\pi\) | ||||
−0.830033 | + | 0.557714i | \(0.811679\pi\) | |||||||
\(728\) | −3.15192 | + | 2.70327i | −0.116818 | + | 0.100190i | ||||
\(729\) | 13.1140 | − | 40.3607i | 0.485703 | − | 1.49484i | ||||
\(730\) | −0.0835990 | − | 0.784917i | −0.00309414 | − | 0.0290511i | ||||
\(731\) | −20.2636 | + | 2.12979i | −0.749476 | + | 0.0787731i | ||||
\(732\) | −74.0348 | + | 15.9514i | −2.73640 | + | 0.589579i | ||||
\(733\) | 13.7283 | + | 42.2514i | 0.507066 | + | 1.56059i | 0.797269 | + | 0.603624i | \(0.206277\pi\) |
−0.290203 | + | 0.956965i | \(0.593723\pi\) | |||||||
\(734\) | −0.773094 | − | 1.33476i | −0.0285354 | − | 0.0492669i | ||||
\(735\) | −2.19614 | + | 20.8948i | −0.0810057 | + | 0.770718i | ||||
\(736\) | 4.83415 | − | 0.0335250i | 0.178189 | − | 0.00123575i | ||||
\(737\) | −13.6162 | − | 3.05915i | −0.501560 | − | 0.112685i | ||||
\(738\) | −14.9395 | + | 70.7672i | −0.549929 | + | 2.60498i | ||||
\(739\) | −18.8794 | − | 42.4038i | −0.694489 | − | 1.55985i | −0.822938 | − | 0.568131i | \(-0.807667\pi\) |
0.128449 | − | 0.991716i | \(-0.459000\pi\) | |||||||
\(740\) | 0.282235 | + | 0.860500i | 0.0103752 | + | 0.0316326i | ||||
\(741\) | −11.9864 | − | 65.4383i | −0.440333 | − | 2.40394i | ||||
\(742\) | 3.22457 | + | 2.33596i | 0.118378 | + | 0.0857557i | ||||
\(743\) | −17.9119 | + | 1.88261i | −0.657123 | + | 0.0690664i | −0.427221 | − | 0.904147i | \(-0.640507\pi\) |
−0.229902 | + | 0.973214i | \(0.573841\pi\) | |||||||
\(744\) | −55.5841 | − | 61.2182i | −2.03781 | − | 2.24437i | ||||
\(745\) | 3.29107 | + | 15.4833i | 0.120575 | + | 0.567263i | ||||
\(746\) | 7.18671 | − | 22.2233i | 0.263124 | − | 0.813651i | ||||
\(747\) | 9.98547 | − | 5.76511i | 0.365349 | − | 0.210935i | ||||
\(748\) | −3.52455 | + | 15.8937i | −0.128870 | + | 0.581131i | ||||
\(749\) | − | 3.82704i | − | 0.139837i | ||||||
\(750\) | −7.90105 | − | 36.9196i | −0.288506 | − | 1.34811i | ||||
\(751\) | −30.9168 | + | 27.8377i | −1.12817 | + | 1.01581i | −0.128462 | + | 0.991714i | \(0.541004\pi\) |
−0.999710 | + | 0.0240960i | \(0.992329\pi\) | |||||||
\(752\) | 6.68455 | − | 11.7278i | 0.243761 | − | 0.427668i | ||||
\(753\) | 9.86897 | − | 7.17022i | 0.359645 | − | 0.261297i | ||||
\(754\) | −2.51036 | + | 10.4238i | −0.0914220 | + | 0.379614i | ||||
\(755\) | 2.27647 | + | 7.00627i | 0.0828494 | + | 0.254984i | ||||
\(756\) | 2.52626 | + | 0.529652i | 0.0918790 | + | 0.0192633i | ||||
\(757\) | −30.4764 | + | 13.5690i | −1.10768 | + | 0.493173i | −0.877308 | − | 0.479928i | \(-0.840663\pi\) |
−0.230377 | + | 0.973101i | \(0.573996\pi\) | |||||||
\(758\) | −1.93724 | − | 1.73944i | −0.0703636 | − | 0.0631792i | ||||
\(759\) | −3.72178 | − | 6.62195i | −0.135092 | − | 0.240362i | ||||
\(760\) | 22.2240 | + | 2.24238i | 0.806149 | + | 0.0813397i | ||||
\(761\) | −2.79909 | + | 26.6316i | −0.101467 | + | 0.965394i | 0.818793 | + | 0.574088i | \(0.194643\pi\) |
−0.920261 | + | 0.391306i | \(0.872023\pi\) | |||||||
\(762\) | −70.3847 | + | 0.0976227i | −2.54977 | + | 0.00353650i | ||||
\(763\) | −3.98931 | − | 3.59199i | −0.144423 | − | 0.130039i | ||||
\(764\) | 15.3625 | − | 13.9098i | 0.555797 | − | 0.503240i | ||||
\(765\) | 1.23085 | + | 11.7107i | 0.0445014 | + | 0.423403i | ||||
\(766\) | 3.41875 | + | 4.69181i | 0.123524 | + | 0.169522i | ||||
\(767\) | −0.281442 | + | 0.0215564i | −0.0101623 | + | 0.000778357i | ||||
\(768\) | 40.6325 | − | 13.7026i | 1.46620 | − | 0.494450i | ||||
\(769\) | 12.0195 | − | 20.8185i | 0.433436 | − | 0.750733i | −0.563731 | − | 0.825959i | \(-0.690634\pi\) |
0.997167 | + | 0.0752256i | \(0.0239677\pi\) | |||||||
\(770\) | −1.30563 | + | 1.75913i | −0.0470517 | + | 0.0633947i | ||||
\(771\) | 57.9526 | − | 33.4590i | 2.08711 | − | 1.20500i | ||||
\(772\) | 11.7154 | − | 0.0324982i | 0.421645 | − | 0.00116964i | ||||
\(773\) | 8.30453 | + | 39.0698i | 0.298693 | + | 1.40524i | 0.829859 | + | 0.557973i | \(0.188421\pi\) |
−0.531165 | + | 0.847268i | \(0.678246\pi\) | |||||||
\(774\) | 19.9116 | − | 44.8896i | 0.715707 | − | 1.61352i | ||||
\(775\) | −32.5128 | + | 23.6220i | −1.16790 | + | 0.848526i | ||||
\(776\) | 14.6998 | + | 25.2179i | 0.527692 | + | 0.905270i | ||||
\(777\) | −0.0895607 | + | 0.421350i | −0.00321297 | + | 0.0151158i | ||||
\(778\) | −8.57221 | − | 4.93332i | −0.307328 | − | 0.176868i | ||||
\(779\) | −49.4803 | + | 68.1039i | −1.77282 | + | 2.44007i | ||||
\(780\) | 19.4750 | − | 10.5911i | 0.697315 | − | 0.379224i | ||||
\(781\) | −0.555756 | + | 4.75788i | −0.0198865 | + | 0.170250i | ||||
\(782\) | −0.612673 | + | 2.90219i | −0.0219091 | + | 0.103782i | ||||
\(783\) | 6.08866 | − | 2.71085i | 0.217591 | − | 0.0968778i | ||||
\(784\) | −2.70660 | + | 27.2025i | −0.0966643 | + | 0.971518i | ||||
\(785\) | 12.6747 | − | 4.11826i | 0.452380 | − | 0.146987i | ||||
\(786\) | −2.88060 | + | 27.7776i | −0.102748 | + | 0.990795i | ||||
\(787\) | −7.03293 | + | 15.7962i | −0.250697 | + | 0.563074i | −0.994430 | − | 0.105403i | \(-0.966387\pi\) |
0.743733 | + | 0.668477i | \(0.233054\pi\) | |||||||
\(788\) | 23.8363 | + | 17.2172i | 0.849132 | + | 0.613339i | ||||
\(789\) | 12.0726 | + | 56.7972i | 0.429797 | + | 2.02203i | ||||
\(790\) | 6.24210 | + | 6.91325i | 0.222084 | + | 0.245962i | ||||
\(791\) | −4.12316 | − | 2.38051i | −0.146603 | − | 0.0846411i | ||||
\(792\) | −28.9637 | − | 26.4697i | −1.02918 | − | 0.940560i | ||||
\(793\) | −47.1063 | + | 19.3965i | −1.67279 | + | 0.688790i | ||||
\(794\) | −3.27244 | + | 10.1193i | −0.116135 | + | 0.359120i | ||||
\(795\) | −14.2242 | − | 15.7976i | −0.504481 | − | 0.560283i | ||||
\(796\) | −2.23372 | − | 4.97979i | −0.0791720 | − | 0.176504i | ||||
\(797\) | 35.2281 | + | 15.6845i | 1.24784 | + | 0.555575i | 0.921022 | − | 0.389512i | \(-0.127356\pi\) |
0.326820 | + | 0.945087i | \(0.394023\pi\) | |||||||
\(798\) | 8.60432 | + | 6.23319i | 0.304590 | + | 0.220652i | ||||
\(799\) | 6.15516 | + | 5.54213i | 0.217754 | + | 0.196066i | ||||
\(800\) | −4.47436 | − | 20.3551i | −0.158193 | − | 0.719661i | ||||
\(801\) | 23.9349 | − | 32.9435i | 0.845697 | − | 1.16400i | ||||
\(802\) | 21.2668 | − | 23.6852i | 0.750958 | − | 0.836353i | ||||
\(803\) | −1.31651 | + | 0.933437i | −0.0464585 | + | 0.0329403i | ||||
\(804\) | −22.4240 | + | 2.41976i | −0.790832 | + | 0.0853384i | ||||
\(805\) | −0.234611 | + | 0.322914i | −0.00826894 | + | 0.0113812i | ||||
\(806\) | −44.1031 | − | 33.8913i | −1.55347 | − | 1.19377i | ||||
\(807\) | −11.1369 | + | 3.61861i | −0.392039 | + | 0.127381i | ||||
\(808\) | 9.13332 | − | 15.9725i | 0.321309 | − | 0.561910i | ||||
\(809\) | −23.6295 | + | 2.48356i | −0.830769 | + | 0.0873173i | −0.510359 | − | 0.859962i | \(-0.670487\pi\) |
−0.320410 | + | 0.947279i | \(0.603821\pi\) | |||||||
\(810\) | 6.01050 | + | 2.66606i | 0.211187 | + | 0.0936759i | ||||
\(811\) | 32.2811 | + | 10.4888i | 1.13354 | + | 0.368310i | 0.814921 | − | 0.579572i | \(-0.196780\pi\) |
0.318621 | + | 0.947882i | \(0.396780\pi\) | |||||||
\(812\) | −0.860288 | − | 1.48056i | −0.0301902 | − | 0.0519576i | ||||
\(813\) | 23.7648 | + | 41.1619i | 0.833469 | + | 1.44361i | ||||
\(814\) | 1.25284 | − | 1.36327i | 0.0439119 | − | 0.0477824i | ||||
\(815\) | −15.7595 | + | 9.09878i | −0.552033 | + | 0.318716i | ||||
\(816\) | 2.89530 | + | 26.1505i | 0.101356 | + | 0.915451i | ||||
\(817\) | 42.4752 | − | 38.2449i | 1.48602 | − | 1.33802i | ||||
\(818\) | −27.5616 | − | 37.8249i | −0.963669 | − | 1.32252i | ||||
\(819\) | 6.13808 | + | 0.173607i | 0.214482 | + | 0.00606633i | ||||
\(820\) | −26.7024 | − | 8.59431i | −0.932487 | − | 0.300126i | ||||
\(821\) | 5.78139 | + | 1.22887i | 0.201772 | + | 0.0428879i | 0.307689 | − | 0.951487i | \(-0.400444\pi\) |
−0.105917 | + | 0.994375i | \(0.533778\pi\) | |||||||
\(822\) | 26.0826 | + | 15.0106i | 0.909734 | + | 0.523554i | ||||
\(823\) | 39.2970 | + | 4.13028i | 1.36981 | + | 0.143972i | 0.760694 | − | 0.649111i | \(-0.224859\pi\) |
0.609113 | + | 0.793084i | \(0.291526\pi\) | |||||||
\(824\) | −5.47834 | − | 3.94552i | −0.190847 | − | 0.137449i | ||||
\(825\) | −24.5881 | + | 21.6298i | −0.856049 | + | 0.753054i | ||||
\(826\) | 0.0301178 | − | 0.0335426i | 0.00104793 | − | 0.00116710i | ||||
\(827\) | −21.8733 | + | 30.1061i | −0.760610 | + | 1.04689i | 0.236553 | + | 0.971619i | \(0.423982\pi\) |
−0.997163 | + | 0.0752715i | \(0.976018\pi\) | |||||||
\(828\) | −5.32592 | − | 4.76880i | −0.185089 | − | 0.165727i | ||||
\(829\) | −35.6926 | − | 7.58670i | −1.23966 | − | 0.263497i | −0.458988 | − | 0.888443i | \(-0.651788\pi\) |
−0.780668 | + | 0.624945i | \(0.785121\pi\) | |||||||
\(830\) | 1.82455 | + | 4.08276i | 0.0633311 | + | 0.141715i | ||||
\(831\) | 32.3756 | − | 23.5222i | 1.12310 | − | 0.815977i | ||||
\(832\) | 25.2628 | − | 13.9209i | 0.875829 | − | 0.482621i | ||||
\(833\) | −15.9521 | − | 5.18315i | −0.552707 | − | 0.179585i | ||||
\(834\) | −37.2572 | − | 41.2630i | −1.29011 | − | 1.42882i | ||||
\(835\) | 8.27595 | − | 14.3344i | 0.286401 | − | 0.496061i | ||||
\(836\) | −18.2075 | − | 41.8812i | −0.629718 | − | 1.44849i | ||||
\(837\) | 34.5749i | 1.19508i | ||||||||
\(838\) | 40.7146 | − | 8.71319i | 1.40646 | − | 0.300992i | ||||
\(839\) | −19.5205 | + | 4.14921i | −0.673922 | + | 0.143247i | −0.532147 | − | 0.846652i | \(-0.678614\pi\) |
−0.141776 | + | 0.989899i | \(0.545281\pi\) | |||||||
\(840\) | −1.08005 | + | 3.37172i | −0.0372652 | + | 0.116335i | ||||
\(841\) | 22.4536 | + | 9.99699i | 0.774262 | + | 0.344724i | ||||
\(842\) | 13.1010 | − | 5.85472i | 0.451489 | − | 0.201767i | ||||
\(843\) | −10.8924 | + | 51.2448i | −0.375155 | + | 1.76496i | ||||
\(844\) | 1.76912 | + | 5.39383i | 0.0608956 | + | 0.185663i | ||||
\(845\) | 11.6281 | − | 9.33577i | 0.400017 | − | 0.321160i | ||||
\(846\) | −18.9767 | + | 6.19503i | −0.652434 | + | 0.212990i | ||||
\(847\) | 4.44237 | + | 0.571032i | 0.152642 | + | 0.0196209i | ||||
\(848\) | −18.6214 | − | 20.4519i | −0.639463 | − | 0.702320i | ||||
\(849\) | −51.2557 | − | 5.38719i | −1.75909 | − | 0.184888i | ||||
\(850\) | 12.7874 | − | 0.0177360i | 0.438604 | − | 0.000608338i | ||||
\(851\) | 0.225726 | − | 0.250694i | 0.00773778 | − | 0.00859368i | ||||
\(852\) | 1.63058 | + | 7.56798i | 0.0558627 | + | 0.259275i | ||||
\(853\) | 37.5476 | − | 27.2800i | 1.28561 | − | 0.934048i | 0.285900 | − | 0.958259i | \(-0.407707\pi\) |
0.999707 | + | 0.0242114i | \(0.00770748\pi\) | |||||||
\(854\) | 3.29890 | − | 7.43720i | 0.112886 | − | 0.254496i | ||||
\(855\) | −22.1025 | − | 24.5473i | −0.755890 | − | 0.839500i | ||||
\(856\) | −5.41897 | + | 26.0263i | −0.185217 | + | 0.889561i | ||||
\(857\) | 54.4073i | 1.85852i | 0.369431 | + | 0.929258i | \(0.379553\pi\) | ||||
−0.369431 | + | 0.929258i | \(0.620447\pi\) | |||||||
\(858\) | −38.3514 | − | 24.1540i | −1.30930 | − | 0.824603i | ||||
\(859\) | − | 4.75206i | − | 0.162138i | −0.996708 | − | 0.0810691i | \(-0.974167\pi\) | ||
0.996708 | − | 0.0810691i | \(-0.0258334\pi\) | |||||||
\(860\) | 16.5206 | + | 9.47717i | 0.563348 | + | 0.323169i | ||||
\(861\) | −8.92823 | − | 9.91580i | −0.304273 | − | 0.337930i | ||||
\(862\) | 35.0671 | + | 15.5546i | 1.19439 | + | 0.529792i | ||||
\(863\) | 15.2536 | − | 11.0824i | 0.519240 | − | 0.377250i | −0.297078 | − | 0.954853i | \(-0.596012\pi\) |
0.816317 | + | 0.577604i | \(0.196012\pi\) | |||||||
\(864\) | −16.4302 | − | 7.17907i | −0.558965 | − | 0.244237i | ||||
\(865\) | −8.06994 | + | 8.96257i | −0.274386 | + | 0.304737i | ||||
\(866\) | 0.00875099 | + | 6.30935i | 0.000297371 | + | 0.214400i | ||||
\(867\) | 29.2565 | + | 3.07499i | 0.993604 | + | 0.104432i | ||||
\(868\) | 8.83180 | − | 0.953037i | 0.299771 | − | 0.0323482i | ||||
\(869\) | 6.09365 | − | 18.0419i | 0.206713 | − | 0.612030i | ||||
\(870\) | 2.83705 | + | 8.69051i | 0.0961849 | + | 0.294636i | ||||
\(871\) | −14.5556 | + | 4.27840i | −0.493198 | + | 0.144968i | ||||
\(872\) | 22.0437 | + | 30.0766i | 0.746494 | + | 1.01852i | ||||
\(873\) | 8.97459 | − | 42.2221i | 0.303744 | − | 1.42900i | ||||
\(874\) | −3.39483 | − | 7.59653i | −0.114832 | − | 0.256956i | ||||
\(875\) | 3.70539 | + | 1.64975i | 0.125265 | + | 0.0557716i | ||||
\(876\) | −1.52719 | + | 2.11431i | −0.0515991 | + | 0.0714359i | ||||
\(877\) | 7.09294 | − | 1.50765i | 0.239512 | − | 0.0509098i | −0.0865918 | − | 0.996244i | \(-0.527598\pi\) |
0.326103 | + | 0.945334i | \(0.394264\pi\) | |||||||
\(878\) | 0.932230 | + | 4.35608i | 0.0314613 | + | 0.147011i | ||||
\(879\) | − | 5.34963i | − | 0.180439i | ||||||
\(880\) | 11.3700 | − | 10.1145i | 0.383282 | − | 0.340958i | ||||
\(881\) | 3.10991 | − | 5.38652i | 0.104776 | − | 0.181477i | −0.808871 | − | 0.587986i | \(-0.799921\pi\) |
0.913646 | + | 0.406510i | \(0.133254\pi\) | |||||||
\(882\) | 30.0046 | − | 27.0917i | 1.01031 | − | 0.912225i | ||||
\(883\) | −34.0372 | − | 11.0593i | −1.14544 | − | 0.372177i | −0.326017 | − | 0.945364i | \(-0.605707\pi\) |
−0.819424 | + | 0.573187i | \(0.805707\pi\) | |||||||
\(884\) | 5.03801 | + | 16.9658i | 0.169447 | + | 0.570622i | ||||
\(885\) | −0.194707 | + | 0.141463i | −0.00654499 | + | 0.00475521i | ||||
\(886\) | 11.0831 | − | 4.95295i | 0.372344 | − | 0.166398i | ||||
\(887\) | 47.9251 | + | 10.1868i | 1.60917 | + | 0.342039i | 0.922819 | − | 0.385233i | \(-0.125879\pi\) |
0.686349 | + | 0.727272i | \(0.259212\pi\) | |||||||
\(888\) | 1.20569 | − | 2.73863i | 0.0404602 | − | 0.0919024i | ||||
\(889\) | 4.44447 | − | 6.11729i | 0.149063 | − | 0.205167i | ||||
\(890\) | 11.7512 | + | 10.5513i | 0.393901 | + | 0.353682i | ||||
\(891\) | −1.25054 | − | 13.3849i | −0.0418946 | − | 0.448409i | ||||
\(892\) | 32.0629 | − | 23.4313i | 1.07355 | − | 0.784536i | ||||
\(893\) | −23.1068 | − | 2.42862i | −0.773240 | − | 0.0812708i | ||||
\(894\) | 26.0884 | − | 45.3316i | 0.872528 | − | 1.51612i | ||||
\(895\) | 4.58778 | + | 0.975162i | 0.153352 | + | 0.0325961i | ||||
\(896\) | −1.38093 | + | 4.39480i | −0.0461337 | + | 0.146820i | ||||
\(897\) | −7.03197 | − | 4.32950i | −0.234791 | − | 0.144558i | ||||
\(898\) | 33.5256 | − | 24.4289i | 1.11876 | − | 0.815203i | ||||
\(899\) | 17.0455 | − | 15.3478i | 0.568499 | − | 0.511879i | ||||
\(900\) | −15.3358 | + | 26.7333i | −0.511192 | + | 0.891110i | ||||
\(901\) | 14.6972 | − | 8.48544i | 0.489635 | − | 0.282691i | ||||
\(902\) | 11.3526 | + | 56.2163i | 0.378002 | + | 1.87180i | ||||
\(903\) | 4.52973 | + | 7.84573i | 0.150740 | + | 0.261089i | ||||
\(904\) | 24.6694 | + | 22.0272i | 0.820491 | + | 0.732614i | ||||
\(905\) | −9.95793 | − | 3.23553i | −0.331013 | − | 0.107553i | ||||
\(906\) | 9.86968 | − | 22.2507i | 0.327898 | − | 0.739229i | ||||
\(907\) | 6.11156 | − | 0.642351i | 0.202931 | − | 0.0213289i | −0.00251747 | − | 0.999997i | \(-0.500801\pi\) |
0.205449 | + | 0.978668i | \(0.434135\pi\) | |||||||
\(908\) | −31.3302 | + | 28.3676i | −1.03973 | + | 0.941413i | ||||
\(909\) | −25.8773 | + | 8.40805i | −0.858296 | + | 0.278877i | ||||
\(910\) | −0.312530 | + | 2.36096i | −0.0103603 | + | 0.0782650i | ||||
\(911\) | 33.1769 | − | 45.6641i | 1.09920 | − | 1.51292i | 0.262762 | − | 0.964861i | \(-0.415367\pi\) |
0.836439 | − | 0.548060i | \(-0.184633\pi\) | |||||||
\(912\) | −49.6888 | − | 54.5730i | −1.64536 | − | 1.80709i | ||||
\(913\) | 5.45917 | − | 7.33408i | 0.180672 | − | 0.242723i | ||||
\(914\) | −3.10991 | − | 2.79238i | −0.102867 | − | 0.0923636i | ||||
\(915\) | −25.5312 | + | 35.1407i | −0.844035 | + | 1.16171i | ||||
\(916\) | −8.90465 | − | 7.97316i | −0.294218 | − | 0.263441i | ||||
\(917\) | −2.22953 | − | 2.00748i | −0.0736256 | − | 0.0662928i | ||||
\(918\) | 6.45408 | − | 8.90924i | 0.213016 | − | 0.294049i | ||||
\(919\) | 8.23680 | + | 3.66726i | 0.271707 | + | 0.120972i | 0.538068 | − | 0.842902i | \(-0.319155\pi\) |
−0.266361 | + | 0.963873i | \(0.585821\pi\) | |||||||
\(920\) | 2.05274 | − | 1.86382i | 0.0676767 | − | 0.0614482i | ||||
\(921\) | −3.07805 | − | 3.41852i | −0.101425 | − | 0.112644i | ||||
\(922\) | 40.8447 | + | 13.2086i | 1.34515 | + | 0.435003i | ||||
\(923\) | 1.98275 | + | 4.81530i | 0.0652629 | + | 0.158497i | ||||
\(924\) | 7.09329 | − | 1.44270i | 0.233352 | − | 0.0474614i | ||||
\(925\) | −1.25948 | − | 0.727159i | −0.0414113 | − | 0.0239088i | ||||
\(926\) | 32.3037 | − | 29.1676i | 1.06156 | − | 0.958506i | ||||
\(927\) | 2.07574 | + | 9.76557i | 0.0681761 | + | 0.320743i | ||||
\(928\) | 3.75407 | + | 11.2869i | 0.123233 | + | 0.370511i | ||||
\(929\) | −12.7537 | + | 28.6454i | −0.418436 | + | 0.939824i | 0.574203 | + | 0.818713i | \(0.305312\pi\) |
−0.992639 | + | 0.121110i | \(0.961355\pi\) | |||||||
\(930\) | −47.1717 | − | 4.89180i | −1.54682 | − | 0.160409i | ||||
\(931\) | 44.7484 | − | 14.5396i | 1.46657 | − | 0.476518i | ||||
\(932\) | −17.2533 | − | 15.4485i | −0.565149 | − | 0.506031i | ||||
\(933\) | −33.5643 | + | 14.9438i | −1.09885 | + | 0.489237i | ||||
\(934\) | −44.6575 | − | 9.42752i | −1.46124 | − | 0.308478i | ||||
\(935\) | 4.57476 | + | 8.13961i | 0.149611 | + | 0.266194i | ||||
\(936\) | −41.4970 | − | 9.87197i | −1.35637 | − | 0.322675i | ||||
\(937\) | −3.35956 | + | 4.62403i | −0.109752 | + | 0.151061i | −0.860359 | − | 0.509688i | \(-0.829761\pi\) |
0.750608 | + | 0.660748i | \(0.229761\pi\) | |||||||
\(938\) | 1.20858 | − | 2.10003i | 0.0394614 | − | 0.0685686i | ||||
\(939\) | −9.33947 | + | 43.9387i | −0.304782 | + | 1.43389i | ||||
\(940\) | −1.63070 | − | 7.56854i | −0.0531876 | − | 0.246859i | ||||
\(941\) | −7.98559 | + | 5.80187i | −0.260323 | + | 0.189136i | −0.710289 | − | 0.703910i | \(-0.751436\pi\) |
0.449967 | + | 0.893045i | \(0.351436\pi\) | |||||||
\(942\) | −40.2526 | − | 17.8548i | −1.31150 | − | 0.581740i | ||||
\(943\) | 2.17253 | + | 10.2209i | 0.0707472 | + | 0.332839i | ||||
\(944\) | −0.252315 | + | 0.185465i | −0.00821216 | + | 0.00603638i | ||||
\(945\) | 1.28207 | − | 0.740205i | 0.0417058 | − | 0.0240789i | ||||
\(946\) | 0.396155 | − | 38.9375i | 0.0128801 | − | 1.26597i | ||||
\(947\) | 0.445681 | − | 0.771942i | 0.0144827 | − | 0.0250847i | −0.858693 | − | 0.512490i | \(-0.828723\pi\) |
0.873176 | + | 0.487405i | \(0.162057\pi\) | |||||||
\(948\) | −0.0853725 | − | 30.7762i | −0.00277277 | − | 0.999564i | ||||
\(949\) | −0.758621 | + | 1.58194i | −0.0246259 | + | 0.0513519i | ||||
\(950\) | −28.9909 | + | 21.1246i | −0.940590 | + | 0.685374i | ||||
\(951\) | −7.95018 | − | 75.6409i | −0.257802 | − | 2.45282i | ||||
\(952\) | −2.45368 | − | 1.40305i | −0.0795241 | − | 0.0454731i | ||||
\(953\) | 6.62687 | + | 5.96686i | 0.214665 | + | 0.193285i | 0.769447 | − | 0.638710i | \(-0.220532\pi\) |
−0.554782 | + | 0.831996i | \(0.687198\pi\) | |||||||
\(954\) | 0.0567312 | + | 40.9025i | 0.00183674 | + | 1.32427i | ||||
\(955\) | 1.24244 | − | 11.8210i | 0.0402043 | − | 0.382519i | ||||
\(956\) | 7.98525 | − | 18.0699i | 0.258262 | − | 0.584423i | ||||
\(957\) | 12.6662 | − | 13.7443i | 0.409440 | − | 0.444290i | ||||
\(958\) | 24.5122 | − | 27.2996i | 0.791954 | − | 0.882011i | ||||
\(959\) | −2.95342 | + | 1.31495i | −0.0953708 | + | 0.0424618i | ||||
\(960\) | 12.1192 | − | 21.4005i | 0.391147 | − | 0.690698i | ||||
\(961\) | 27.1900 | + | 83.6821i | 0.877096 | + | 2.69942i | ||||
\(962\) | 0.471268 | − | 1.95686i | 0.0151943 | − | 0.0630916i | ||||
\(963\) | 31.8049 | − | 23.1076i | 1.02490 | − | 0.744633i | ||||
\(964\) | −47.7367 | + | 21.4126i | −1.53750 | + | 0.689655i | ||||
\(965\) | 4.99338 | − | 4.49606i | 0.160742 | − | 0.144733i | ||||
\(966\) | 1.28964 | − | 0.275993i | 0.0414936 | − | 0.00887991i | ||||
\(967\) | − | 57.2468i | − | 1.84093i | −0.390822 | − | 0.920466i | \(-0.627809\pi\) | ||
0.390822 | − | 0.920466i | \(-0.372191\pi\) | |||||||
\(968\) | −29.4023 | − | 10.1736i | −0.945027 | − | 0.326993i | ||||
\(969\) | 39.2175 | − | 22.6422i | 1.25985 | − | 0.727374i | ||||
\(970\) | 15.9291 | + | 5.15127i | 0.511453 | + | 0.165397i | ||||
\(971\) | −7.08880 | − | 33.3502i | −0.227490 | − | 1.07026i | −0.932531 | − | 0.361091i | \(-0.882404\pi\) |
0.705040 | − | 0.709167i | \(-0.250929\pi\) | |||||||
\(972\) | −16.6751 | − | 37.1751i | −0.534855 | − | 1.19239i | ||||
\(973\) | 5.93974 | − | 0.624292i | 0.190419 | − | 0.0200139i | ||||
\(974\) | −22.1149 | + | 30.5275i | −0.708608 | + | 0.978165i | ||||
\(975\) | −11.9541 | + | 33.5338i | −0.382837 | + | 1.07394i | ||||
\(976\) | −32.9655 | + | 45.9065i | −1.05520 | + | 1.46943i | ||||
\(977\) | −6.54878 | − | 14.7088i | −0.209514 | − | 0.470576i | 0.777969 | − | 0.628303i | \(-0.216250\pi\) |
−0.987483 | + | 0.157727i | \(0.949583\pi\) | |||||||
\(978\) | 58.8315 | + | 12.4198i | 1.88122 | + | 0.397140i | ||||
\(979\) | 7.07793 | − | 31.5037i | 0.226212 | − | 1.00686i | ||||
\(980\) | 9.25089 | + | 12.6588i | 0.295509 | + | 0.404369i | ||||
\(981\) | 5.76412 | − | 54.8419i | 0.184034 | − | 1.75097i | ||||
\(982\) | −0.0765282 | + | 0.0443252i | −0.00244211 | + | 0.00141448i | ||||
\(983\) | 18.6330 | + | 57.3466i | 0.594302 | + | 1.82907i | 0.558172 | + | 0.829725i | \(0.311503\pi\) |
0.0361294 | + | 0.999347i | \(0.488497\pi\) | |||||||
\(984\) | 46.6771 | + | 80.0758i | 1.48801 | + | 2.55272i | ||||
\(985\) | 16.7720 | − | 1.76281i | 0.534401 | − | 0.0561678i | ||||
\(986\) | −7.25725 | + | 0.772946i | −0.231118 | + | 0.0246156i | ||||
\(987\) | 1.13802 | − | 3.50245i | 0.0362235 | − | 0.111484i | ||||
\(988\) | −39.4074 | − | 30.1959i | −1.25372 | − | 0.960660i | ||||
\(989\) | − | 7.09471i | − | 0.225599i | ||||||
\(990\) | −22.5028 | − | 0.228946i | −0.715185 | − | 0.00727639i | ||||
\(991\) | −2.11124 | − | 1.21892i | −0.0670657 | − | 0.0387204i | 0.466092 | − | 0.884736i | \(-0.345662\pi\) |
−0.533158 | + | 0.846016i | \(0.678995\pi\) | |||||||
\(992\) | −61.4113 | − | 6.02430i | −1.94981 | − | 0.191272i | ||||
\(993\) | −49.0183 | − | 15.9270i | −1.55555 | − | 0.505428i | ||||
\(994\) | −0.760245 | − | 0.337220i | −0.0241135 | − | 0.0106960i | ||||
\(995\) | −2.85965 | − | 1.27320i | −0.0906569 | − | 0.0403631i | ||||
\(996\) | 4.52704 | − | 14.0654i | 0.143445 | − | 0.445680i | ||||
\(997\) | −10.4653 | − | 9.42296i | −0.331438 | − | 0.298428i | 0.486562 | − | 0.873646i | \(-0.338251\pi\) |
−0.818000 | + | 0.575218i | \(0.804917\pi\) | |||||||
\(998\) | 13.7216 | + | 7.89680i | 0.434349 | + | 0.249969i | ||||
\(999\) | −1.14302 | + | 0.508905i | −0.0361635 | + | 0.0161010i |
(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 | 572.2.bn.a.95.20 | yes | 640 | |
4.3 | odd | 2 | inner | 572.2.bn.a.95.4 | ✓ | 640 | |
11.8 | odd | 10 | inner | 572.2.bn.a.459.30 | yes | 640 | |
13.10 | even | 6 | inner | 572.2.bn.a.491.44 | yes | 640 | |
44.19 | even | 10 | inner | 572.2.bn.a.459.44 | yes | 640 | |
52.23 | odd | 6 | inner | 572.2.bn.a.491.30 | yes | 640 | |
143.140 | odd | 30 | inner | 572.2.bn.a.283.4 | yes | 640 | |
572.283 | even | 30 | inner | 572.2.bn.a.283.20 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bn.a.95.4 | ✓ | 640 | 4.3 | odd | 2 | inner | |
572.2.bn.a.95.20 | yes | 640 | 1.1 | even | 1 | trivial | |
572.2.bn.a.283.4 | yes | 640 | 143.140 | odd | 30 | inner | |
572.2.bn.a.283.20 | yes | 640 | 572.283 | even | 30 | inner | |
572.2.bn.a.459.30 | yes | 640 | 11.8 | odd | 10 | inner | |
572.2.bn.a.459.44 | yes | 640 | 44.19 | even | 10 | inner | |
572.2.bn.a.491.30 | yes | 640 | 52.23 | odd | 6 | inner | |
572.2.bn.a.491.44 | yes | 640 | 13.10 | even | 6 | inner |