Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(25,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 121.26 | ||
Character | \(\chi\) | \(=\) | 441.121 |
Dual form | 441.2.y.a.277.26 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0497214 | + | 0.0239445i | −0.0351583 | + | 0.0169314i | −0.451380 | − | 0.892332i | \(-0.649068\pi\) |
0.416222 | + | 0.909263i | \(0.363354\pi\) | |||||||
\(3\) | 0.670713 | + | 1.59692i | 0.387237 | + | 0.921980i | ||||
\(4\) | −1.24508 | + | 1.56128i | −0.622540 | + | 0.780641i | ||||
\(5\) | −2.85636 | + | 0.881071i | −1.27740 | + | 0.394027i | −0.857942 | − | 0.513746i | \(-0.828257\pi\) |
−0.419462 | + | 0.907773i | \(0.637781\pi\) | |||||||
\(6\) | −0.0715862 | − | 0.0633410i | −0.0292250 | − | 0.0258588i | ||||
\(7\) | 2.26871 | + | 1.36123i | 0.857492 | + | 0.514497i | ||||
\(8\) | 0.0490832 | − | 0.215048i | 0.0173535 | − | 0.0760309i | ||||
\(9\) | −2.10029 | + | 2.14215i | −0.700096 | + | 0.714049i | ||||
\(10\) | 0.120925 | − | 0.112202i | 0.0382400 | − | 0.0354815i | ||||
\(11\) | −0.124174 | + | 1.65699i | −0.0374399 | + | 0.499600i | 0.946689 | + | 0.322148i | \(0.104405\pi\) |
−0.984129 | + | 0.177453i | \(0.943214\pi\) | |||||||
\(12\) | −3.32833 | − | 0.941118i | −0.960806 | − | 0.271677i | ||||
\(13\) | 0.492886 | − | 6.57711i | 0.136702 | − | 1.82416i | −0.334790 | − | 0.942293i | \(-0.608666\pi\) |
0.471493 | − | 0.881870i | \(-0.343715\pi\) | |||||||
\(14\) | −0.145397 | − | 0.0133590i | −0.0388591 | − | 0.00357034i | ||||
\(15\) | −3.32280 | − | 3.97043i | −0.857943 | − | 1.02516i | ||||
\(16\) | −0.886020 | − | 3.88191i | −0.221505 | − | 0.970476i | ||||
\(17\) | −1.40631 | + | 3.58321i | −0.341079 | + | 0.869056i | 0.652692 | + | 0.757623i | \(0.273639\pi\) |
−0.993772 | + | 0.111433i | \(0.964456\pi\) | |||||||
\(18\) | 0.0531364 | − | 0.156801i | 0.0125244 | − | 0.0369583i | ||||
\(19\) | −0.187231 | + | 0.324293i | −0.0429537 | + | 0.0743979i | −0.886703 | − | 0.462340i | \(-0.847010\pi\) |
0.843749 | + | 0.536737i | \(0.180343\pi\) | |||||||
\(20\) | 2.18080 | − | 5.55659i | 0.487642 | − | 1.24249i | ||||
\(21\) | −0.652118 | + | 4.53594i | −0.142304 | + | 0.989823i | ||||
\(22\) | −0.0335017 | − | 0.0853610i | −0.00714259 | − | 0.0181990i | ||||
\(23\) | −3.50236 | − | 0.527896i | −0.730293 | − | 0.110074i | −0.226638 | − | 0.973979i | \(-0.572774\pi\) |
−0.503655 | + | 0.863905i | \(0.668012\pi\) | |||||||
\(24\) | 0.376334 | − | 0.0658536i | 0.0768189 | − | 0.0134423i | ||||
\(25\) | 3.25133 | − | 2.21672i | 0.650265 | − | 0.443343i | ||||
\(26\) | 0.132979 | + | 0.338825i | 0.0260793 | + | 0.0664490i | ||||
\(27\) | −4.82952 | − | 1.91722i | −0.929442 | − | 0.368969i | ||||
\(28\) | −4.94999 | + | 1.84726i | −0.935461 | + | 0.349098i | ||||
\(29\) | −2.13863 | + | 5.44914i | −0.397133 | + | 1.01188i | 0.582811 | + | 0.812608i | \(0.301953\pi\) |
−0.979944 | + | 0.199272i | \(0.936142\pi\) | |||||||
\(30\) | 0.260284 | + | 0.117852i | 0.0475212 | + | 0.0215168i | ||||
\(31\) | −2.14649 | −0.385520 | −0.192760 | − | 0.981246i | \(-0.561744\pi\) | ||||
−0.192760 | + | 0.981246i | \(0.561744\pi\) | |||||||
\(32\) | 0.412061 | + | 0.516708i | 0.0728428 | + | 0.0913420i | ||||
\(33\) | −2.72936 | + | 0.913068i | −0.475120 | + | 0.158945i | ||||
\(34\) | −0.0158749 | − | 0.211835i | −0.00272252 | − | 0.0363295i | ||||
\(35\) | −7.67960 | − | 1.88927i | −1.29809 | − | 0.319345i | ||||
\(36\) | −0.729469 | − | 5.94629i | −0.121578 | − | 0.991048i | ||||
\(37\) | 6.02507 | − | 0.908134i | 0.990516 | − | 0.149296i | 0.366257 | − | 0.930514i | \(-0.380639\pi\) |
0.624259 | + | 0.781218i | \(0.285401\pi\) | |||||||
\(38\) | 0.00154431 | − | 0.0206074i | 0.000250521 | − | 0.00334297i | ||||
\(39\) | 10.8337 | − | 3.62426i | 1.73478 | − | 0.580346i | ||||
\(40\) | 0.0492728 | + | 0.657500i | 0.00779072 | + | 0.103960i | ||||
\(41\) | 6.33621 | + | 5.87914i | 0.989549 | + | 0.918168i | 0.996648 | − | 0.0818071i | \(-0.0260691\pi\) |
−0.00709871 | + | 0.999975i | \(0.502260\pi\) | |||||||
\(42\) | −0.0761868 | − | 0.241148i | −0.0117559 | − | 0.0372099i | ||||
\(43\) | −7.14048 | + | 6.62540i | −1.08891 | + | 1.01036i | −0.0890163 | + | 0.996030i | \(0.528372\pi\) |
−0.999897 | + | 0.0143340i | \(0.995437\pi\) | |||||||
\(44\) | −2.43242 | − | 2.25695i | −0.366701 | − | 0.340249i | ||||
\(45\) | 4.11180 | − | 7.96925i | 0.612951 | − | 1.18799i | ||||
\(46\) | 0.186783 | − | 0.0576148i | 0.0275396 | − | 0.00849484i | ||||
\(47\) | 10.9824 | − | 5.28885i | 1.60195 | − | 0.771458i | 0.602308 | − | 0.798264i | \(-0.294248\pi\) |
0.999641 | + | 0.0268057i | \(0.00853353\pi\) | |||||||
\(48\) | 5.60482 | − | 4.01855i | 0.808985 | − | 0.580027i | ||||
\(49\) | 3.29410 | + | 6.17648i | 0.470586 | + | 0.882354i | ||||
\(50\) | −0.108582 | + | 0.188070i | −0.0153558 | + | 0.0265971i | ||||
\(51\) | −6.66532 | + | 0.157553i | −0.933331 | + | 0.0220618i | ||||
\(52\) | 9.65504 | + | 8.95857i | 1.33891 | + | 1.24233i | ||||
\(53\) | −11.0046 | − | 1.65868i | −1.51160 | − | 0.227838i | −0.659698 | − | 0.751531i | \(-0.729316\pi\) |
−0.851907 | + | 0.523693i | \(0.824554\pi\) | |||||||
\(54\) | 0.286037 | − | 0.0203141i | 0.0389247 | − | 0.00276440i | ||||
\(55\) | −1.10524 | − | 4.84236i | −0.149030 | − | 0.652944i | ||||
\(56\) | 0.404085 | − | 0.421068i | 0.0539982 | − | 0.0562675i | ||||
\(57\) | −0.643447 | − | 0.0814841i | −0.0852267 | − | 0.0107928i | ||||
\(58\) | −0.0241416 | − | 0.322147i | −0.00316994 | − | 0.0423000i | ||||
\(59\) | −0.762969 | − | 3.34278i | −0.0993301 | − | 0.435193i | −1.00000 | 0.000689010i | \(-0.999781\pi\) | |
0.900670 | − | 0.434504i | \(-0.143076\pi\) | |||||||
\(60\) | 10.3361 | − | 0.244322i | 1.33439 | − | 0.0315418i | ||||
\(61\) | 5.50709 | + | 6.90567i | 0.705110 | + | 0.884180i | 0.997394 | − | 0.0721517i | \(-0.0229866\pi\) |
−0.292284 | + | 0.956332i | \(0.594415\pi\) | |||||||
\(62\) | 0.106726 | − | 0.0513967i | 0.0135542 | − | 0.00652738i | ||||
\(63\) | −7.68090 | + | 2.00094i | −0.967703 | + | 0.252094i | ||||
\(64\) | 7.14198 | + | 3.43940i | 0.892747 | + | 0.429925i | ||||
\(65\) | 4.38704 | + | 19.2209i | 0.544146 | + | 2.38406i | ||||
\(66\) | 0.113844 | − | 0.110752i | 0.0140133 | − | 0.0136327i | ||||
\(67\) | −1.30769 | −0.159760 | −0.0798798 | − | 0.996805i | \(-0.525454\pi\) | ||||
−0.0798798 | + | 0.996805i | \(0.525454\pi\) | |||||||
\(68\) | −3.84344 | − | 6.65703i | −0.466085 | − | 0.807283i | ||||
\(69\) | −1.50608 | − | 5.94705i | −0.181310 | − | 0.715941i | ||||
\(70\) | 0.427078 | − | 0.0899474i | 0.0510456 | − | 0.0107508i | ||||
\(71\) | −4.58488 | + | 5.74925i | −0.544125 | + | 0.682311i | −0.975535 | − | 0.219845i | \(-0.929445\pi\) |
0.431410 | + | 0.902156i | \(0.358016\pi\) | |||||||
\(72\) | 0.357575 | + | 0.556806i | 0.0421406 | + | 0.0656202i | ||||
\(73\) | 0.891895 | + | 11.9015i | 0.104388 | + | 1.39297i | 0.765865 | + | 0.643001i | \(0.222311\pi\) |
−0.661477 | + | 0.749966i | \(0.730070\pi\) | |||||||
\(74\) | −0.277830 | + | 0.189421i | −0.0322971 | + | 0.0220198i | ||||
\(75\) | 5.72062 | + | 3.70532i | 0.660561 | + | 0.427853i | ||||
\(76\) | −0.273196 | − | 0.696091i | −0.0313377 | − | 0.0798471i | ||||
\(77\) | −2.53726 | + | 3.59020i | −0.289147 | + | 0.409141i | ||||
\(78\) | −0.451884 | + | 0.439611i | −0.0511658 | + | 0.0497761i | ||||
\(79\) | −0.940653 | −0.105832 | −0.0529159 | − | 0.998599i | \(-0.516852\pi\) | ||||
−0.0529159 | + | 0.998599i | \(0.516852\pi\) | |||||||
\(80\) | 5.95103 | + | 10.3075i | 0.665345 | + | 1.15241i | ||||
\(81\) | −0.177589 | − | 8.99825i | −0.0197321 | − | 0.999805i | ||||
\(82\) | −0.455818 | − | 0.140601i | −0.0503367 | − | 0.0155268i | ||||
\(83\) | 0.367709 | + | 4.90674i | 0.0403613 | + | 0.538584i | 0.980335 | + | 0.197339i | \(0.0632298\pi\) |
−0.939974 | + | 0.341246i | \(0.889151\pi\) | |||||||
\(84\) | −6.26994 | − | 6.66575i | −0.684107 | − | 0.727293i | ||||
\(85\) | 0.859858 | − | 11.4740i | 0.0932647 | − | 1.24453i | ||||
\(86\) | 0.196392 | − | 0.500400i | 0.0211775 | − | 0.0539595i | ||||
\(87\) | −10.1362 | + | 0.239597i | −1.08672 | + | 0.0256875i | ||||
\(88\) | 0.350237 | + | 0.108034i | 0.0373353 | + | 0.0115164i | ||||
\(89\) | −3.98830 | + | 2.71918i | −0.422759 | + | 0.288232i | −0.755953 | − | 0.654626i | \(-0.772826\pi\) |
0.333194 | + | 0.942858i | \(0.391874\pi\) | |||||||
\(90\) | −0.0136240 | + | 0.494697i | −0.00143610 | + | 0.0521457i | ||||
\(91\) | 10.0712 | − | 14.2506i | 1.05575 | − | 1.49387i | ||||
\(92\) | 5.18492 | − | 4.81090i | 0.540565 | − | 0.501571i | ||||
\(93\) | −1.43968 | − | 3.42776i | −0.149288 | − | 0.355442i | ||||
\(94\) | −0.419421 | + | 0.525938i | −0.0432600 | + | 0.0542463i | ||||
\(95\) | 0.249073 | − | 1.09126i | 0.0255544 | − | 0.111961i | ||||
\(96\) | −0.548765 | + | 1.00459i | −0.0560081 | + | 0.102531i | ||||
\(97\) | −4.85740 | − | 8.41326i | −0.493194 | − | 0.854237i | 0.506775 | − | 0.862078i | \(-0.330837\pi\) |
−0.999969 | + | 0.00784086i | \(0.997504\pi\) | |||||||
\(98\) | −0.311680 | − | 0.228227i | −0.0314845 | − | 0.0230544i | ||||
\(99\) | −3.28871 | − | 3.74615i | −0.330528 | − | 0.376502i | ||||
\(100\) | −0.587244 | + | 7.83623i | −0.0587244 | + | 0.783623i | ||||
\(101\) | 3.54500 | + | 3.28928i | 0.352741 | + | 0.327296i | 0.836563 | − | 0.547870i | \(-0.184561\pi\) |
−0.483822 | + | 0.875166i | \(0.660752\pi\) | |||||||
\(102\) | 0.327636 | − | 0.167432i | 0.0324408 | − | 0.0165782i | ||||
\(103\) | −3.93708 | + | 1.21443i | −0.387933 | + | 0.119661i | −0.482585 | − | 0.875849i | \(-0.660302\pi\) |
0.0946527 | + | 0.995510i | \(0.469826\pi\) | |||||||
\(104\) | −1.39020 | − | 0.428820i | −0.136320 | − | 0.0420493i | ||||
\(105\) | −2.13380 | − | 13.5308i | −0.208238 | − | 1.32048i | ||||
\(106\) | 0.586883 | − | 0.181029i | 0.0570031 | − | 0.0175831i | ||||
\(107\) | −8.28430 | + | 5.64814i | −0.800873 | + | 0.546026i | −0.893177 | − | 0.449705i | \(-0.851529\pi\) |
0.0923042 | + | 0.995731i | \(0.470577\pi\) | |||||||
\(108\) | 9.00646 | − | 5.15315i | 0.866647 | − | 0.495863i | ||||
\(109\) | 10.0208 | + | 6.83209i | 0.959822 | + | 0.654395i | 0.938464 | − | 0.345376i | \(-0.112249\pi\) |
0.0213576 | + | 0.999772i | \(0.493201\pi\) | |||||||
\(110\) | 0.170902 | + | 0.214304i | 0.0162949 | + | 0.0204331i | ||||
\(111\) | 5.49131 | + | 9.01244i | 0.521212 | + | 0.855423i | ||||
\(112\) | 3.27405 | − | 10.0130i | 0.309368 | − | 0.946140i | ||||
\(113\) | 0.258019 | − | 0.175914i | 0.0242724 | − | 0.0165486i | −0.551123 | − | 0.834424i | \(-0.685801\pi\) |
0.575395 | + | 0.817875i | \(0.304848\pi\) | |||||||
\(114\) | 0.0339442 | − | 0.0113555i | 0.00317916 | − | 0.00106354i | ||||
\(115\) | 10.4691 | − | 1.57797i | 0.976252 | − | 0.147146i | ||||
\(116\) | −5.84487 | − | 10.1236i | −0.542683 | − | 0.939954i | ||||
\(117\) | 13.0539 | + | 14.8697i | 1.20684 | + | 1.37470i | ||||
\(118\) | 0.117977 | + | 0.147939i | 0.0108607 | + | 0.0136189i | ||||
\(119\) | −8.06808 | + | 6.21496i | −0.739600 | + | 0.569725i | ||||
\(120\) | −1.01693 | + | 0.519679i | −0.0928321 | + | 0.0474400i | ||||
\(121\) | 8.14695 | + | 1.22796i | 0.740632 | + | 0.111632i | ||||
\(122\) | −0.439173 | − | 0.211494i | −0.0397608 | − | 0.0191478i | ||||
\(123\) | −5.13872 | + | 14.0616i | −0.463343 | + | 1.26789i | ||||
\(124\) | 2.67255 | − | 3.35127i | 0.240002 | − | 0.300953i | ||||
\(125\) | 1.98468 | − | 2.48871i | 0.177515 | − | 0.222597i | ||||
\(126\) | 0.333993 | − | 0.283405i | 0.0297545 | − | 0.0252477i | ||||
\(127\) | 0.182335 | + | 0.228641i | 0.0161796 | + | 0.0202886i | 0.789855 | − | 0.613293i | \(-0.210156\pi\) |
−0.773676 | + | 0.633582i | \(0.781584\pi\) | |||||||
\(128\) | −1.75925 | −0.155497 | ||||||||
\(129\) | −15.3694 | − | 6.95901i | −1.35320 | − | 0.612707i | ||||
\(130\) | −0.678365 | − | 0.850643i | −0.0594965 | − | 0.0746063i | ||||
\(131\) | 15.7136 | − | 14.5800i | 1.37290 | − | 1.27386i | 0.447803 | − | 0.894132i | \(-0.352207\pi\) |
0.925096 | − | 0.379732i | \(-0.123984\pi\) | |||||||
\(132\) | 1.97271 | − | 5.39814i | 0.171703 | − | 0.469848i | ||||
\(133\) | −0.866210 | + | 0.480863i | −0.0751099 | + | 0.0416961i | ||||
\(134\) | 0.0650201 | − | 0.0313120i | 0.00561688 | − | 0.00270495i | ||||
\(135\) | 15.4841 | + | 1.22111i | 1.33266 | + | 0.105097i | ||||
\(136\) | 0.701535 | + | 0.478299i | 0.0601562 | + | 0.0410138i | ||||
\(137\) | 6.00228 | + | 1.85146i | 0.512810 | + | 0.158181i | 0.540351 | − | 0.841440i | \(-0.318292\pi\) |
−0.0275412 | + | 0.999621i | \(0.508768\pi\) | |||||||
\(138\) | 0.217284 | + | 0.259633i | 0.0184964 | + | 0.0221014i | ||||
\(139\) | 1.72952 | + | 1.60476i | 0.146696 | + | 0.136114i | 0.750107 | − | 0.661316i | \(-0.230002\pi\) |
−0.603411 | + | 0.797430i | \(0.706192\pi\) | |||||||
\(140\) | 12.5114 | − | 9.63773i | 1.05741 | − | 0.814537i | ||||
\(141\) | 15.8119 | + | 13.9907i | 1.33160 | + | 1.17823i | ||||
\(142\) | 0.0903030 | − | 0.395643i | 0.00757806 | − | 0.0332017i | ||||
\(143\) | 10.8370 | + | 1.63341i | 0.906234 | + | 0.136593i | ||||
\(144\) | 10.1765 | + | 6.25513i | 0.848042 | + | 0.521261i | ||||
\(145\) | 1.30762 | − | 17.4490i | 0.108592 | − | 1.44906i | ||||
\(146\) | −0.329323 | − | 0.570403i | −0.0272549 | − | 0.0472069i | ||||
\(147\) | −7.65393 | + | 9.40305i | −0.631285 | + | 0.775551i | ||||
\(148\) | −6.08385 | + | 10.5375i | −0.500089 | + | 0.866180i | ||||
\(149\) | −12.6213 | − | 8.60502i | −1.03397 | − | 0.704951i | −0.0775660 | − | 0.996987i | \(-0.524715\pi\) |
−0.956407 | + | 0.292036i | \(0.905667\pi\) | |||||||
\(150\) | −0.373159 | − | 0.0472557i | −0.0304683 | − | 0.00385841i | ||||
\(151\) | 6.08973 | + | 15.5164i | 0.495575 | + | 1.26271i | 0.931834 | + | 0.362884i | \(0.118208\pi\) |
−0.436259 | + | 0.899821i | \(0.643697\pi\) | |||||||
\(152\) | 0.0605486 | + | 0.0561809i | 0.00491114 | + | 0.00455687i | ||||
\(153\) | −4.72212 | − | 10.5383i | −0.381761 | − | 0.851970i | ||||
\(154\) | 0.0401903 | − | 0.239263i | 0.00323862 | − | 0.0192804i | ||||
\(155\) | 6.13115 | − | 1.89121i | 0.492465 | − | 0.151905i | ||||
\(156\) | −7.83032 | + | 21.4269i | −0.626928 | + | 1.71553i | ||||
\(157\) | 1.84825 | + | 8.09772i | 0.147506 | + | 0.646268i | 0.993573 | + | 0.113191i | \(0.0361073\pi\) |
−0.846067 | + | 0.533077i | \(0.821036\pi\) | |||||||
\(158\) | 0.0467706 | − | 0.0225235i | 0.00372087 | − | 0.00179187i | ||||
\(159\) | −4.73219 | − | 18.6860i | −0.375287 | − | 1.48190i | ||||
\(160\) | −1.63225 | − | 1.11285i | −0.129041 | − | 0.0879786i | ||||
\(161\) | −7.22726 | − | 5.96517i | −0.569588 | − | 0.470121i | ||||
\(162\) | 0.224289 | + | 0.443153i | 0.0176218 | + | 0.0348174i | ||||
\(163\) | 2.24106 | + | 0.691276i | 0.175533 | + | 0.0541449i | 0.381276 | − | 0.924461i | \(-0.375485\pi\) |
−0.205743 | + | 0.978606i | \(0.565961\pi\) | |||||||
\(164\) | −17.0681 | + | 2.57260i | −1.33279 | + | 0.200886i | ||||
\(165\) | 6.99155 | − | 5.01281i | 0.544292 | − | 0.390247i | ||||
\(166\) | −0.135773 | − | 0.235165i | −0.0105380 | − | 0.0182523i | ||||
\(167\) | −5.17261 | + | 0.779646i | −0.400269 | + | 0.0603308i | −0.346092 | − | 0.938201i | \(-0.612492\pi\) |
−0.0541767 | + | 0.998531i | \(0.517253\pi\) | |||||||
\(168\) | 0.943435 | + | 0.362875i | 0.0727876 | + | 0.0279964i | ||||
\(169\) | −30.1607 | − | 4.54599i | −2.32005 | − | 0.349691i | ||||
\(170\) | 0.231987 | + | 0.591092i | 0.0177926 | + | 0.0453347i | ||||
\(171\) | −0.301445 | − | 1.08218i | −0.0230521 | − | 0.0827567i | ||||
\(172\) | −1.45364 | − | 19.3975i | −0.110839 | − | 1.47904i | ||||
\(173\) | 14.3074 | − | 17.9409i | 1.08777 | − | 1.36402i | 0.161628 | − | 0.986852i | \(-0.448326\pi\) |
0.926144 | − | 0.377171i | \(-0.123103\pi\) | |||||||
\(174\) | 0.498250 | − | 0.254620i | 0.0377722 | − | 0.0193027i | ||||
\(175\) | 10.3938 | − | 0.603284i | 0.785696 | − | 0.0456040i | ||||
\(176\) | 6.54229 | − | 0.986091i | 0.493144 | − | 0.0743294i | ||||
\(177\) | 4.82641 | − | 3.46045i | 0.362776 | − | 0.260103i | ||||
\(178\) | 0.133194 | − | 0.230699i | 0.00998333 | − | 0.0172916i | ||||
\(179\) | 1.29916 | − | 3.31022i | 0.0971041 | − | 0.247417i | −0.874065 | − | 0.485809i | \(-0.838525\pi\) |
0.971169 | + | 0.238392i | \(0.0766203\pi\) | |||||||
\(180\) | 7.32273 | + | 16.3420i | 0.545804 | + | 1.21806i | ||||
\(181\) | −14.0932 | − | 6.78690i | −1.04754 | − | 0.504467i | −0.170733 | − | 0.985317i | \(-0.554614\pi\) |
−0.876803 | + | 0.480851i | \(0.840328\pi\) | |||||||
\(182\) | −0.159528 | + | 0.949711i | −0.0118250 | + | 0.0703973i | ||||
\(183\) | −7.33410 | + | 13.4261i | −0.542152 | + | 0.992484i | ||||
\(184\) | −0.285430 | + | 0.727265i | −0.0210422 | + | 0.0536147i | ||||
\(185\) | −16.4097 | + | 7.90248i | −1.20646 | + | 0.581002i | ||||
\(186\) | 0.153659 | + | 0.135961i | 0.0112668 | + | 0.00996911i | ||||
\(187\) | −5.76271 | − | 2.77517i | −0.421411 | − | 0.202941i | ||||
\(188\) | −5.41660 | + | 23.7317i | −0.395046 | + | 1.73081i | ||||
\(189\) | −8.34702 | − | 10.9237i | −0.607156 | − | 0.794583i | ||||
\(190\) | 0.0137455 | + | 0.0602230i | 0.000997204 | + | 0.00436903i | ||||
\(191\) | −2.62978 | + | 11.5218i | −0.190284 | + | 0.833690i | 0.786178 | + | 0.618000i | \(0.212057\pi\) |
−0.976462 | + | 0.215689i | \(0.930800\pi\) | |||||||
\(192\) | −0.702208 | + | 13.7120i | −0.0506775 | + | 0.989578i | ||||
\(193\) | −1.63334 | + | 7.15615i | −0.117571 | + | 0.515111i | 0.881507 | + | 0.472171i | \(0.156530\pi\) |
−0.999078 | + | 0.0429398i | \(0.986328\pi\) | |||||||
\(194\) | 0.442968 | + | 0.302011i | 0.0318033 | + | 0.0216831i | ||||
\(195\) | −27.7517 | + | 19.8974i | −1.98734 | + | 1.42489i | ||||
\(196\) | −13.7446 | − | 2.54720i | −0.981760 | − | 0.181943i | ||||
\(197\) | 6.23581 | 0.444283 | 0.222142 | − | 0.975014i | \(-0.428695\pi\) | ||||
0.222142 | + | 0.975014i | \(0.428695\pi\) | |||||||
\(198\) | 0.253219 | + | 0.107517i | 0.0179955 | + | 0.00764089i | ||||
\(199\) | 12.2311 | − | 3.77279i | 0.867039 | − | 0.267446i | 0.170844 | − | 0.985298i | \(-0.445351\pi\) |
0.696196 | + | 0.717852i | \(0.254875\pi\) | |||||||
\(200\) | −0.317114 | − | 0.807994i | −0.0224234 | − | 0.0571338i | ||||
\(201\) | −0.877084 | − | 2.08827i | −0.0618648 | − | 0.147295i | ||||
\(202\) | −0.255023 | − | 0.0786641i | −0.0179433 | − | 0.00553479i | ||||
\(203\) | −12.2695 | + | 9.45135i | −0.861148 | + | 0.663355i | ||||
\(204\) | 8.05287 | − | 10.6026i | 0.563814 | − | 0.742331i | ||||
\(205\) | −23.2785 | − | 11.2103i | −1.62584 | − | 0.782962i | ||||
\(206\) | 0.166678 | − | 0.154655i | 0.0116130 | − | 0.0107753i | ||||
\(207\) | 8.48680 | − | 6.39384i | 0.589873 | − | 0.444403i | ||||
\(208\) | −25.9684 | + | 3.91411i | −1.80059 | + | 0.271395i | ||||
\(209\) | −0.514100 | − | 0.350508i | −0.0355611 | − | 0.0242451i | ||||
\(210\) | 0.430086 | + | 0.621679i | 0.0296787 | + | 0.0428999i | ||||
\(211\) | −19.0385 | + | 12.9802i | −1.31067 | + | 0.893596i | −0.998408 | − | 0.0564013i | \(-0.982037\pi\) |
−0.312257 | + | 0.949998i | \(0.601085\pi\) | |||||||
\(212\) | 16.2913 | − | 15.1162i | 1.11889 | − | 1.03818i | ||||
\(213\) | −12.2562 | − | 3.46557i | −0.839782 | − | 0.237457i | ||||
\(214\) | 0.276664 | − | 0.479197i | 0.0189124 | − | 0.0327572i | ||||
\(215\) | 14.5584 | − | 25.2158i | 0.992872 | − | 1.71970i | ||||
\(216\) | −0.649342 | + | 0.944475i | −0.0441821 | + | 0.0642634i | ||||
\(217\) | −4.86976 | − | 2.92186i | −0.330581 | − | 0.198349i | ||||
\(218\) | −0.661841 | − | 0.0997564i | −0.0448255 | − | 0.00675636i | ||||
\(219\) | −18.4075 | + | 9.40679i | −1.24386 | + | 0.635652i | ||||
\(220\) | 8.93640 | + | 4.30355i | 0.602492 | + | 0.290145i | ||||
\(221\) | 22.8740 | + | 11.0156i | 1.53867 | + | 0.740986i | ||||
\(222\) | −0.488834 | − | 0.316624i | −0.0328084 | − | 0.0212504i | ||||
\(223\) | 10.8562 | + | 1.63630i | 0.726983 | + | 0.109575i | 0.502099 | − | 0.864810i | \(-0.332561\pi\) |
0.224884 | + | 0.974385i | \(0.427800\pi\) | |||||||
\(224\) | 0.231488 | + | 1.73317i | 0.0154670 | + | 0.115802i | ||||
\(225\) | −2.08019 | + | 11.6206i | −0.138679 | + | 0.774704i | ||||
\(226\) | −0.00861686 | + | 0.0149248i | −0.000573185 | + | 0.000992786i | ||||
\(227\) | 5.24600 | − | 9.08634i | 0.348189 | − | 0.603081i | −0.637739 | − | 0.770253i | \(-0.720130\pi\) |
0.985928 | + | 0.167171i | \(0.0534634\pi\) | |||||||
\(228\) | 0.928363 | − | 0.903148i | 0.0614824 | − | 0.0598124i | ||||
\(229\) | 8.78377 | − | 8.15015i | 0.580448 | − | 0.538577i | −0.334371 | − | 0.942442i | \(-0.608524\pi\) |
0.914819 | + | 0.403865i | \(0.132333\pi\) | |||||||
\(230\) | −0.482756 | + | 0.329137i | −0.0318320 | + | 0.0217027i | ||||
\(231\) | −7.43502 | − | 1.64380i | −0.489188 | − | 0.108154i | ||||
\(232\) | 1.06685 | + | 0.727369i | 0.0700424 | + | 0.0477541i | ||||
\(233\) | 25.7457 | − | 3.88054i | 1.68666 | − | 0.254223i | 0.765506 | − | 0.643429i | \(-0.222489\pi\) |
0.921151 | + | 0.389206i | \(0.127251\pi\) | |||||||
\(234\) | −1.00511 | − | 0.426769i | −0.0657059 | − | 0.0278988i | ||||
\(235\) | −26.7099 | + | 24.7832i | −1.74236 | + | 1.61667i | ||||
\(236\) | 6.16899 | + | 2.97083i | 0.401567 | + | 0.193384i | ||||
\(237\) | −0.630909 | − | 1.50214i | −0.0409819 | − | 0.0975748i | ||||
\(238\) | 0.252341 | − | 0.502203i | 0.0163569 | − | 0.0325530i | ||||
\(239\) | −14.5144 | − | 4.47709i | −0.938857 | − | 0.289599i | −0.212692 | − | 0.977119i | \(-0.568223\pi\) |
−0.726165 | + | 0.687520i | \(0.758699\pi\) | |||||||
\(240\) | −12.4688 | + | 16.4167i | −0.804855 | + | 1.05969i | ||||
\(241\) | −8.88133 | − | 22.6293i | −0.572097 | − | 1.45768i | −0.865116 | − | 0.501572i | \(-0.832755\pi\) |
0.293019 | − | 0.956107i | \(-0.405340\pi\) | |||||||
\(242\) | −0.434480 | + | 0.134019i | −0.0279295 | + | 0.00861510i | ||||
\(243\) | 14.2503 | − | 6.31884i | 0.914160 | − | 0.405354i | ||||
\(244\) | −17.6385 | −1.12919 | ||||||||
\(245\) | −14.8511 | − | 14.7399i | −0.948800 | − | 0.941699i | ||||
\(246\) | −0.0811948 | − | 0.822207i | −0.00517679 | − | 0.0524220i | ||||
\(247\) | 2.04063 | + | 1.39128i | 0.129842 | + | 0.0885248i | ||||
\(248\) | −0.105357 | + | 0.461597i | −0.00669015 | + | 0.0293115i | ||||
\(249\) | −7.58902 | + | 3.87822i | −0.480935 | + | 0.245772i | ||||
\(250\) | −0.0390899 | + | 0.171264i | −0.00247226 | + | 0.0108317i | ||||
\(251\) | −0.654124 | − | 2.86590i | −0.0412879 | − | 0.180894i | 0.950079 | − | 0.312008i | \(-0.101002\pi\) |
−0.991367 | + | 0.131114i | \(0.958145\pi\) | |||||||
\(252\) | 6.43931 | − | 14.4834i | 0.405639 | − | 0.912367i | ||||
\(253\) | 1.30962 | − | 5.73782i | 0.0823351 | − | 0.360734i | ||||
\(254\) | −0.0145407 | − | 0.00700242i | −0.000912363 | − | 0.000439371i | ||||
\(255\) | 18.8998 | − | 6.32265i | 1.18355 | − | 0.395940i | ||||
\(256\) | −14.1965 | + | 6.83667i | −0.887280 | + | 0.427292i | ||||
\(257\) | −3.51753 | + | 8.96251i | −0.219417 | + | 0.559066i | −0.997620 | − | 0.0689466i | \(-0.978036\pi\) |
0.778203 | + | 0.628013i | \(0.216131\pi\) | |||||||
\(258\) | 0.930819 | − | 0.0220024i | 0.0579503 | − | 0.00136981i | ||||
\(259\) | 14.9053 | + | 6.14122i | 0.926172 | + | 0.381597i | ||||
\(260\) | −35.4714 | − | 17.0821i | −2.19985 | − | 1.05939i | ||||
\(261\) | −7.18112 | − | 16.0260i | −0.444500 | − | 0.991985i | ||||
\(262\) | −0.432187 | + | 1.10119i | −0.0267006 | + | 0.0680320i | ||||
\(263\) | −5.73098 | + | 9.92635i | −0.353387 | + | 0.612085i | −0.986841 | − | 0.161696i | \(-0.948304\pi\) |
0.633453 | + | 0.773781i | \(0.281637\pi\) | |||||||
\(264\) | 0.0623876 | + | 0.631758i | 0.00383969 | + | 0.0388820i | ||||
\(265\) | 32.8947 | − | 4.95808i | 2.02070 | − | 0.304572i | ||||
\(266\) | 0.0315551 | − | 0.0446502i | 0.00193477 | − | 0.00273768i | ||||
\(267\) | −7.01731 | − | 4.54520i | −0.429452 | − | 0.278161i | ||||
\(268\) | 1.62818 | − | 2.04167i | 0.0994568 | − | 0.124715i | ||||
\(269\) | 1.56326 | + | 20.8603i | 0.0953137 | + | 1.27187i | 0.815772 | + | 0.578374i | \(0.196313\pi\) |
−0.720458 | + | 0.693499i | \(0.756068\pi\) | |||||||
\(270\) | −0.799128 | + | 0.310044i | −0.0486334 | + | 0.0188687i | ||||
\(271\) | 8.10766 | + | 20.6580i | 0.492505 | + | 1.25488i | 0.933889 | + | 0.357564i | \(0.116393\pi\) |
−0.441383 | + | 0.897319i | \(0.645512\pi\) | |||||||
\(272\) | 15.1557 | + | 2.28435i | 0.918949 | + | 0.138509i | ||||
\(273\) | 29.5120 | + | 6.52475i | 1.78614 | + | 0.394896i | ||||
\(274\) | −0.342774 | + | 0.0516649i | −0.0207077 | + | 0.00312119i | ||||
\(275\) | 3.26934 | + | 5.66267i | 0.197149 | + | 0.341472i | ||||
\(276\) | 11.1602 | + | 5.05315i | 0.671766 | + | 0.304164i | ||||
\(277\) | 15.9910 | − | 2.41026i | 0.960808 | − | 0.144818i | 0.350133 | − | 0.936700i | \(-0.386136\pi\) |
0.610675 | + | 0.791882i | \(0.290898\pi\) | |||||||
\(278\) | −0.124419 | − | 0.0383783i | −0.00746217 | − | 0.00230178i | ||||
\(279\) | 4.50824 | − | 4.59809i | 0.269901 | − | 0.275281i | ||||
\(280\) | −0.783224 | + | 1.55875i | −0.0468066 | + | 0.0931531i | ||||
\(281\) | 4.40454 | + | 3.00296i | 0.262753 | + | 0.179142i | 0.687530 | − | 0.726156i | \(-0.258695\pi\) |
−0.424777 | + | 0.905298i | \(0.639647\pi\) | |||||||
\(282\) | −1.12119 | − | 0.317027i | −0.0667659 | − | 0.0188787i | ||||
\(283\) | −10.9577 | + | 5.27694i | −0.651367 | + | 0.313682i | −0.730228 | − | 0.683204i | \(-0.760586\pi\) |
0.0788608 | + | 0.996886i | \(0.474872\pi\) | |||||||
\(284\) | −3.26766 | − | 14.3166i | −0.193900 | − | 0.849532i | ||||
\(285\) | 1.90971 | − | 0.334175i | 0.113122 | − | 0.0197948i | ||||
\(286\) | −0.577941 | + | 0.178271i | −0.0341744 | + | 0.0105414i | ||||
\(287\) | 6.37216 | + | 21.9631i | 0.376136 | + | 1.29644i | ||||
\(288\) | −1.97231 | − | 0.202540i | −0.116220 | − | 0.0119348i | ||||
\(289\) | 1.60018 | + | 1.48475i | 0.0941283 | + | 0.0873383i | ||||
\(290\) | 0.352792 | + | 0.898898i | 0.0207166 | + | 0.0527851i | ||||
\(291\) | 10.1774 | − | 13.3998i | 0.596607 | − | 0.785507i | ||||
\(292\) | −19.6921 | − | 13.4258i | −1.15239 | − | 0.785688i | ||||
\(293\) | 12.7863 | − | 22.1465i | 0.746983 | − | 1.29381i | −0.202279 | − | 0.979328i | \(-0.564835\pi\) |
0.949263 | − | 0.314485i | \(-0.101832\pi\) | |||||||
\(294\) | 0.155412 | − | 0.650802i | 0.00906380 | − | 0.0379556i | ||||
\(295\) | 5.12455 | + | 8.87597i | 0.298363 | + | 0.516779i | ||||
\(296\) | 0.100438 | − | 1.34025i | 0.00583784 | − | 0.0779006i | ||||
\(297\) | 3.77651 | − | 7.76439i | 0.219135 | − | 0.450535i | ||||
\(298\) | 0.833589 | + | 0.125643i | 0.0482885 | + | 0.00727832i | ||||
\(299\) | −5.19830 | + | 22.7752i | −0.300626 | + | 1.31713i | ||||
\(300\) | −12.9077 | + | 4.31808i | −0.745225 | + | 0.249305i | ||||
\(301\) | −25.2184 | + | 5.31127i | −1.45356 | + | 0.306137i | ||||
\(302\) | −0.674322 | − | 0.625680i | −0.0388029 | − | 0.0360038i | ||||
\(303\) | −2.87503 | + | 7.86724i | −0.165166 | + | 0.451961i | ||||
\(304\) | 1.42477 | + | 0.439482i | 0.0817159 | + | 0.0252060i | ||||
\(305\) | −21.8146 | − | 14.8730i | −1.24910 | − | 0.851623i | ||||
\(306\) | 0.487125 | + | 0.410909i | 0.0278471 | + | 0.0234901i | ||||
\(307\) | −1.79618 | + | 0.864995i | −0.102513 | + | 0.0493679i | −0.484438 | − | 0.874826i | \(-0.660976\pi\) |
0.381924 | + | 0.924194i | \(0.375261\pi\) | |||||||
\(308\) | −2.44622 | − | 8.43146i | −0.139386 | − | 0.480427i | ||||
\(309\) | −4.58000 | − | 5.47266i | −0.260547 | − | 0.311329i | ||||
\(310\) | −0.259565 | + | 0.240841i | −0.0147423 | + | 0.0136788i | ||||
\(311\) | 4.49794 | + | 5.64024i | 0.255055 | + | 0.319829i | 0.892830 | − | 0.450394i | \(-0.148716\pi\) |
−0.637775 | + | 0.770223i | \(0.720145\pi\) | |||||||
\(312\) | −0.247636 | − | 2.50765i | −0.0140196 | − | 0.141968i | ||||
\(313\) | −24.2025 | −1.36801 | −0.684004 | − | 0.729478i | \(-0.739763\pi\) | ||||
−0.684004 | + | 0.729478i | \(0.739763\pi\) | |||||||
\(314\) | −0.285794 | − | 0.358374i | −0.0161283 | − | 0.0202242i | ||||
\(315\) | 20.1765 | − | 12.4828i | 1.13682 | − | 0.703328i | ||||
\(316\) | 1.17119 | − | 1.46862i | 0.0658845 | − | 0.0826166i | ||||
\(317\) | 10.2113 | − | 12.8046i | 0.573524 | − | 0.719176i | −0.407469 | − | 0.913219i | \(-0.633589\pi\) |
0.980993 | + | 0.194043i | \(0.0621600\pi\) | |||||||
\(318\) | 0.682719 | + | 0.815784i | 0.0382850 | + | 0.0457469i | ||||
\(319\) | −8.76359 | − | 4.22032i | −0.490667 | − | 0.236293i | ||||
\(320\) | −23.4304 | − | 3.53157i | −1.30980 | − | 0.197421i | ||||
\(321\) | −14.5760 | − | 9.44105i | −0.813553 | − | 0.526948i | ||||
\(322\) | 0.502183 | + | 0.123543i | 0.0279855 | + | 0.00688477i | ||||
\(323\) | −0.898707 | − | 1.12694i | −0.0500054 | − | 0.0627048i | ||||
\(324\) | 14.2699 | + | 10.9263i | 0.792773 | + | 0.607015i | ||||
\(325\) | −12.9771 | − | 22.4769i | −0.719838 | − | 1.24680i | ||||
\(326\) | −0.127981 | + | 0.0192900i | −0.00708821 | + | 0.00106838i | ||||
\(327\) | −4.18917 | + | 20.5848i | −0.231662 | + | 1.13834i | ||||
\(328\) | 1.57530 | − | 1.07402i | 0.0869813 | − | 0.0593028i | ||||
\(329\) | 32.1153 | + | 2.95072i | 1.77057 | + | 0.162679i | ||||
\(330\) | −0.227600 | + | 0.416653i | −0.0125290 | + | 0.0229360i | ||||
\(331\) | −5.98724 | − | 7.50776i | −0.329088 | − | 0.412664i | 0.589570 | − | 0.807718i | \(-0.299297\pi\) |
−0.918658 | + | 0.395054i | \(0.870726\pi\) | |||||||
\(332\) | −8.11863 | − | 5.53519i | −0.445568 | − | 0.303783i | ||||
\(333\) | −10.7090 | + | 14.8139i | −0.586851 | + | 0.811799i | ||||
\(334\) | 0.238521 | − | 0.162621i | 0.0130513 | − | 0.00889822i | ||||
\(335\) | 3.73523 | − | 1.15217i | 0.204078 | − | 0.0629496i | ||||
\(336\) | 18.1859 | − | 1.48747i | 0.992121 | − | 0.0811483i | ||||
\(337\) | 23.5587 | + | 7.26688i | 1.28332 | + | 0.395852i | 0.860078 | − | 0.510163i | \(-0.170415\pi\) |
0.423244 | + | 0.906016i | \(0.360891\pi\) | |||||||
\(338\) | 1.60848 | − | 0.496151i | 0.0874898 | − | 0.0269870i | ||||
\(339\) | 0.453977 | + | 0.294047i | 0.0246567 | + | 0.0159704i | ||||
\(340\) | 16.8436 | + | 15.6285i | 0.913470 | + | 0.847577i | ||||
\(341\) | 0.266538 | − | 3.55670i | 0.0144338 | − | 0.192606i | ||||
\(342\) | 0.0409007 | + | 0.0465897i | 0.00221166 | + | 0.00251928i | ||||
\(343\) | −0.934252 | + | 18.4967i | −0.0504449 | + | 0.998727i | ||||
\(344\) | 1.07430 | + | 1.86074i | 0.0579223 | + | 0.100324i | ||||
\(345\) | 9.54167 | + | 15.6600i | 0.513706 | + | 0.843105i | ||||
\(346\) | −0.281796 | + | 1.23463i | −0.0151495 | + | 0.0663742i | ||||
\(347\) | 6.24436 | − | 7.83017i | 0.335215 | − | 0.420346i | −0.585445 | − | 0.810712i | \(-0.699080\pi\) |
0.920660 | + | 0.390366i | \(0.127652\pi\) | |||||||
\(348\) | 12.2463 | − | 16.1238i | 0.656473 | − | 0.864328i | ||||
\(349\) | 6.91846 | − | 6.41940i | 0.370337 | − | 0.343622i | −0.472947 | − | 0.881091i | \(-0.656810\pi\) |
0.843284 | + | 0.537469i | \(0.180619\pi\) | |||||||
\(350\) | −0.502348 | + | 0.278871i | −0.0268516 | + | 0.0149063i | ||||
\(351\) | −14.9902 | + | 30.8193i | −0.800115 | + | 1.64501i | ||||
\(352\) | −0.907346 | + | 0.618618i | −0.0483617 | + | 0.0329725i | ||||
\(353\) | −8.63080 | − | 2.66225i | −0.459371 | − | 0.141697i | 0.0564282 | − | 0.998407i | \(-0.482029\pi\) |
−0.515799 | + | 0.856709i | \(0.672505\pi\) | |||||||
\(354\) | −0.157117 | + | 0.287624i | −0.00835068 | + | 0.0152871i | ||||
\(355\) | 8.03057 | − | 20.4616i | 0.426218 | − | 1.08599i | ||||
\(356\) | 0.720354 | − | 9.61246i | 0.0381787 | − | 0.509459i | ||||
\(357\) | −15.3361 | − | 8.71560i | −0.811675 | − | 0.461278i | ||||
\(358\) | 0.0146654 | + | 0.195696i | 0.000775091 | + | 0.0103429i | ||||
\(359\) | 24.5978 | + | 7.58743i | 1.29822 | + | 0.400449i | 0.865424 | − | 0.501041i | \(-0.167049\pi\) |
0.432801 | + | 0.901490i | \(0.357525\pi\) | |||||||
\(360\) | −1.51195 | − | 1.27539i | −0.0796867 | − | 0.0672189i | ||||
\(361\) | 9.42989 | + | 16.3330i | 0.496310 | + | 0.859634i | ||||
\(362\) | 0.863240 | 0.0453709 | ||||||||
\(363\) | 3.50333 | + | 13.8336i | 0.183877 | + | 0.726076i | ||||
\(364\) | 9.70982 | + | 33.4671i | 0.508933 | + | 1.75416i | ||||
\(365\) | −13.0337 | − | 33.2092i | −0.682213 | − | 1.73825i | ||||
\(366\) | 0.0431800 | − | 0.843175i | 0.00225705 | − | 0.0440734i | ||||
\(367\) | 25.2765 | − | 17.2332i | 1.31942 | − | 0.899566i | 0.320557 | − | 0.947229i | \(-0.396130\pi\) |
0.998863 | + | 0.0476635i | \(0.0151775\pi\) | |||||||
\(368\) | 1.05392 | + | 14.0636i | 0.0549393 | + | 0.733114i | ||||
\(369\) | −25.9018 | + | 1.22521i | −1.34840 | + | 0.0637816i | ||||
\(370\) | 0.626689 | − | 0.785844i | 0.0325800 | − | 0.0408541i | ||||
\(371\) | −22.7085 | − | 18.7429i | −1.17897 | − | 0.973085i | ||||
\(372\) | 7.14422 | + | 2.02010i | 0.370410 | + | 0.104737i | ||||
\(373\) | −13.3911 | − | 23.1941i | −0.693366 | − | 1.20094i | −0.970729 | − | 0.240179i | \(-0.922794\pi\) |
0.277363 | − | 0.960765i | \(-0.410540\pi\) | |||||||
\(374\) | 0.352980 | 0.0182522 | ||||||||
\(375\) | 5.30541 | + | 1.50016i | 0.273970 | + | 0.0774677i | ||||
\(376\) | −0.598303 | − | 2.62134i | −0.0308551 | − | 0.135185i | ||||
\(377\) | 34.7855 | + | 16.7518i | 1.79154 | + | 0.862762i | ||||
\(378\) | 0.676588 | + | 0.343276i | 0.0347999 | + | 0.0176562i | ||||
\(379\) | −2.23286 | + | 1.07529i | −0.114694 | + | 0.0552338i | −0.490351 | − | 0.871525i | \(-0.663131\pi\) |
0.375657 | + | 0.926759i | \(0.377417\pi\) | |||||||
\(380\) | 1.39365 | + | 1.74758i | 0.0714928 | + | 0.0896491i | ||||
\(381\) | −0.242826 | + | 0.444527i | −0.0124404 | + | 0.0227738i | ||||
\(382\) | −0.145129 | − | 0.635850i | −0.00742542 | − | 0.0325329i | ||||
\(383\) | −0.0917314 | − | 1.22407i | −0.00468725 | − | 0.0625470i | 0.994370 | − | 0.105967i | \(-0.0337937\pi\) |
−0.999057 | + | 0.0434198i | \(0.986175\pi\) | |||||||
\(384\) | −1.17995 | − | 2.80938i | −0.0602143 | − | 0.143366i | ||||
\(385\) | 4.08411 | − | 12.4904i | 0.208145 | − | 0.636570i | ||||
\(386\) | −0.0901386 | − | 0.394923i | −0.00458793 | − | 0.0201011i | ||||
\(387\) | 0.804481 | − | 29.2112i | 0.0408941 | − | 1.48489i | ||||
\(388\) | 19.1833 | + | 2.89142i | 0.973886 | + | 0.146790i | ||||
\(389\) | −11.7585 | − | 10.9103i | −0.596179 | − | 0.553173i | 0.323308 | − | 0.946294i | \(-0.395205\pi\) |
−0.919487 | + | 0.393121i | \(0.871395\pi\) | |||||||
\(390\) | 0.903417 | − | 1.65383i | 0.0457463 | − | 0.0837449i | ||||
\(391\) | 6.81696 | − | 11.8073i | 0.344749 | − | 0.597122i | ||||
\(392\) | 1.48992 | − | 0.405227i | 0.0752525 | − | 0.0204671i | ||||
\(393\) | 33.8224 | + | 15.3142i | 1.70611 | + | 0.772499i | ||||
\(394\) | −0.310053 | + | 0.149314i | −0.0156202 | + | 0.00752231i | ||||
\(395\) | 2.68685 | − | 0.828782i | 0.135190 | − | 0.0417006i | ||||
\(396\) | 9.94350 | − | 0.470346i | 0.499680 | − | 0.0236358i | ||||
\(397\) | 4.97532 | + | 4.61642i | 0.249704 | + | 0.231692i | 0.795087 | − | 0.606496i | \(-0.207425\pi\) |
−0.545383 | + | 0.838187i | \(0.683616\pi\) | |||||||
\(398\) | −0.517809 | + | 0.480456i | −0.0259554 | + | 0.0240831i | ||||
\(399\) | −1.34888 | − | 1.06074i | −0.0675283 | − | 0.0531036i | ||||
\(400\) | −11.4858 | − | 10.6573i | −0.574291 | − | 0.532865i | ||||
\(401\) | 0.800936 | + | 10.6877i | 0.0399968 | + | 0.533720i | 0.980832 | + | 0.194856i | \(0.0624239\pi\) |
−0.940835 | + | 0.338865i | \(0.889957\pi\) | |||||||
\(402\) | 0.0936125 | + | 0.0828302i | 0.00466897 | + | 0.00413120i | ||||
\(403\) | −1.05797 | + | 14.1177i | −0.0527015 | + | 0.703252i | ||||
\(404\) | −9.54932 | + | 1.43933i | −0.475096 | + | 0.0716092i | ||||
\(405\) | 8.43536 | + | 25.5458i | 0.419156 | + | 1.26938i | ||||
\(406\) | 0.383746 | − | 0.763721i | 0.0190450 | − | 0.0379028i | ||||
\(407\) | 0.756608 | + | 10.0962i | 0.0375037 | + | 0.500452i | ||||
\(408\) | −0.293274 | + | 1.44109i | −0.0145192 | + | 0.0713448i | ||||
\(409\) | 0.200138 | + | 0.250965i | 0.00989619 | + | 0.0124094i | 0.786755 | − | 0.617265i | \(-0.211760\pi\) |
−0.776859 | + | 0.629675i | \(0.783188\pi\) | |||||||
\(410\) | 1.42586 | 0.0704183 | ||||||||
\(411\) | 1.06919 | + | 10.8269i | 0.0527390 | + | 0.534054i | ||||
\(412\) | 3.00592 | − | 7.65896i | 0.148091 | − | 0.377330i | ||||
\(413\) | 2.81935 | − | 8.62239i | 0.138731 | − | 0.424280i | ||||
\(414\) | −0.268878 | + | 0.521123i | −0.0132146 | + | 0.0256118i | ||||
\(415\) | −5.37350 | − | 13.6914i | −0.263775 | − | 0.672086i | ||||
\(416\) | 3.60155 | − | 2.45549i | 0.176580 | − | 0.120390i | ||||
\(417\) | −1.40266 | + | 3.83823i | −0.0686883 | + | 0.187959i | ||||
\(418\) | 0.0339545 | + | 0.00511782i | 0.00166077 | + | 0.000250321i | ||||
\(419\) | −11.6937 | − | 29.7952i | −0.571277 | − | 1.45559i | −0.866018 | − | 0.500012i | \(-0.833329\pi\) |
0.294742 | − | 0.955577i | \(-0.404766\pi\) | |||||||
\(420\) | 23.7822 | + | 13.5155i | 1.16045 | + | 0.659491i | ||||
\(421\) | −1.23036 | + | 3.13490i | −0.0599639 | + | 0.152786i | −0.957716 | − | 0.287716i | \(-0.907104\pi\) |
0.897752 | + | 0.440501i | \(0.145199\pi\) | |||||||
\(422\) | 0.635815 | − | 1.10126i | 0.0309510 | − | 0.0536087i | ||||
\(423\) | −11.7367 | + | 34.6340i | −0.570659 | + | 1.68396i | ||||
\(424\) | −0.896840 | + | 2.28511i | −0.0435544 | + | 0.110975i | ||||
\(425\) | 3.37060 | + | 14.7676i | 0.163498 | + | 0.716333i | ||||
\(426\) | 0.692377 | − | 0.121157i | 0.0335458 | − | 0.00587007i | ||||
\(427\) | 3.09378 | + | 23.1634i | 0.149718 | + | 1.12095i | ||||
\(428\) | 1.49628 | − | 19.9665i | 0.0723256 | − | 0.965118i | ||||
\(429\) | 4.66009 | + | 18.4013i | 0.224991 | + | 0.888424i | ||||
\(430\) | −0.120080 | + | 1.60236i | −0.00579078 | + | 0.0772726i | ||||
\(431\) | 2.01961 | − | 1.87392i | 0.0972811 | − | 0.0902637i | −0.630033 | − | 0.776568i | \(-0.716959\pi\) |
0.727314 | + | 0.686305i | \(0.240768\pi\) | |||||||
\(432\) | −3.16340 | + | 20.4464i | −0.152199 | + | 0.983730i | ||||
\(433\) | 8.15042 | − | 35.7093i | 0.391684 | − | 1.71608i | −0.267031 | − | 0.963688i | \(-0.586043\pi\) |
0.658715 | − | 0.752392i | \(-0.271100\pi\) | |||||||
\(434\) | 0.312094 | + | 0.0286749i | 0.0149810 | + | 0.00137644i | ||||
\(435\) | 28.7416 | − | 9.61511i | 1.37806 | − | 0.461009i | ||||
\(436\) | −23.1436 | + | 7.13884i | −1.10838 | + | 0.341889i | ||||
\(437\) | 0.826943 | − | 1.03695i | 0.0395581 | − | 0.0496042i | ||||
\(438\) | 0.690006 | − | 0.908478i | 0.0329697 | − | 0.0434088i | ||||
\(439\) | −0.620376 | + | 0.298757i | −0.0296089 | + | 0.0142589i | −0.448630 | − | 0.893718i | \(-0.648088\pi\) |
0.419021 | + | 0.907977i | \(0.362373\pi\) | |||||||
\(440\) | −1.09559 | −0.0522301 | ||||||||
\(441\) | −20.1495 | − | 5.91593i | −0.959499 | − | 0.281711i | ||||
\(442\) | −1.40109 | −0.0666431 | ||||||||
\(443\) | 23.4943 | − | 11.3143i | 1.11625 | − | 0.537557i | 0.217518 | − | 0.976056i | \(-0.430204\pi\) |
0.898732 | + | 0.438499i | \(0.144490\pi\) | |||||||
\(444\) | −20.9081 | − | 2.64773i | −0.992254 | − | 0.125656i | ||||
\(445\) | 8.99624 | − | 11.2809i | 0.426463 | − | 0.534768i | ||||
\(446\) | −0.578964 | + | 0.178587i | −0.0274148 | + | 0.00845633i | ||||
\(447\) | 5.27626 | − | 25.9266i | 0.249559 | − | 1.22629i | ||||
\(448\) | 11.5213 | + | 17.5249i | 0.544329 | + | 0.827973i | ||||
\(449\) | 1.92645 | − | 8.44035i | 0.0909150 | − | 0.398325i | −0.908911 | − | 0.416991i | \(-0.863085\pi\) |
0.999826 | + | 0.0186660i | \(0.00594193\pi\) | |||||||
\(450\) | −0.174819 | − | 0.627599i | −0.00824107 | − | 0.0295853i | ||||
\(451\) | −10.5285 | + | 9.76898i | −0.495766 | + | 0.460003i | ||||
\(452\) | −0.0466026 | + | 0.621868i | −0.00219200 | + | 0.0292502i | ||||
\(453\) | −20.6939 | + | 20.1318i | −0.972285 | + | 0.945876i | ||||
\(454\) | −0.0432700 | + | 0.577398i | −0.00203076 | + | 0.0270986i | ||||
\(455\) | −16.2111 | + | 49.5784i | −0.759990 | + | 2.32427i | ||||
\(456\) | −0.0491055 | + | 0.134372i | −0.00229957 | + | 0.00629256i | ||||
\(457\) | −0.0463565 | − | 0.203101i | −0.00216847 | − | 0.00950068i | 0.973832 | − | 0.227269i | \(-0.0729795\pi\) |
−0.976001 | + | 0.217768i | \(0.930122\pi\) | |||||||
\(458\) | −0.241589 | + | 0.615560i | −0.0112887 | + | 0.0287632i | ||||
\(459\) | 13.6616 | − | 14.6090i | 0.637668 | − | 0.681890i | ||||
\(460\) | −10.5713 | + | 18.3100i | −0.492888 | + | 0.853707i | ||||
\(461\) | −6.10827 | + | 15.5636i | −0.284490 | + | 0.724870i | 0.715174 | + | 0.698947i | \(0.246348\pi\) |
−0.999664 | + | 0.0259229i | \(0.991748\pi\) | |||||||
\(462\) | 0.409039 | − | 0.0962963i | 0.0190302 | − | 0.00448011i | ||||
\(463\) | 1.26551 | + | 3.22447i | 0.0588133 | + | 0.149854i | 0.957260 | − | 0.289229i | \(-0.0933988\pi\) |
−0.898447 | + | 0.439083i | \(0.855304\pi\) | |||||||
\(464\) | 23.0479 | + | 3.47391i | 1.06997 | + | 0.161272i | ||||
\(465\) | 7.13234 | + | 8.52247i | 0.330755 | + | 0.395220i | ||||
\(466\) | −1.18719 | + | 0.809415i | −0.0549957 | + | 0.0374954i | ||||
\(467\) | 3.48807 | + | 8.88745i | 0.161408 | + | 0.411262i | 0.988582 | − | 0.150685i | \(-0.0481478\pi\) |
−0.827173 | + | 0.561947i | \(0.810053\pi\) | |||||||
\(468\) | −39.4689 | + | 1.86695i | −1.82445 | + | 0.0863000i | ||||
\(469\) | −2.96677 | − | 1.78007i | −0.136993 | − | 0.0821958i | ||||
\(470\) | 0.734631 | − | 1.87181i | 0.0338860 | − | 0.0863401i | ||||
\(471\) | −11.6917 | + | 8.38275i | −0.538727 | + | 0.386257i | ||||
\(472\) | −0.756307 | −0.0348119 | ||||||||
\(473\) | −10.0915 | − | 12.6544i | −0.464010 | − | 0.581850i | ||||
\(474\) | 0.0673378 | + | 0.0595819i | 0.00309293 | + | 0.00273669i | ||||
\(475\) | 0.110118 | + | 1.46942i | 0.00505255 | + | 0.0674216i | ||||
\(476\) | 0.342104 | − | 20.3347i | 0.0156803 | − | 0.932038i | ||||
\(477\) | 26.6661 | − | 20.0899i | 1.22096 | − | 0.919852i | ||||
\(478\) | 0.828877 | − | 0.124933i | 0.0379119 | − | 0.00571431i | ||||
\(479\) | −0.282197 | + | 3.76566i | −0.0128939 | + | 0.172057i | 0.987039 | + | 0.160480i | \(0.0513042\pi\) |
−0.999933 | + | 0.0115771i | \(0.996315\pi\) | |||||||
\(480\) | 0.682357 | − | 3.35297i | 0.0311452 | − | 0.153042i | ||||
\(481\) | −3.00322 | − | 40.0752i | −0.136935 | − | 1.82727i | ||||
\(482\) | 0.983439 | + | 0.912498i | 0.0447944 | + | 0.0415631i | ||||
\(483\) | 4.67846 | − | 15.5423i | 0.212877 | − | 0.707197i | ||||
\(484\) | −12.0608 | + | 11.1908i | −0.548218 | + | 0.508672i | ||||
\(485\) | 21.2872 | + | 19.7516i | 0.966601 | + | 0.896875i | ||||
\(486\) | −0.557245 | + | 0.655399i | −0.0252771 | + | 0.0297295i | ||||
\(487\) | 24.7217 | − | 7.62564i | 1.12025 | − | 0.345551i | 0.321316 | − | 0.946972i | \(-0.395875\pi\) |
0.798932 | + | 0.601422i | \(0.205399\pi\) | |||||||
\(488\) | 1.75535 | − | 0.845334i | 0.0794611 | − | 0.0382665i | ||||
\(489\) | 0.399200 | + | 4.04244i | 0.0180524 | + | 0.182805i | ||||
\(490\) | 1.09136 | + | 0.377287i | 0.0493024 | + | 0.0170441i | ||||
\(491\) | −2.16438 | + | 3.74882i | −0.0976773 | + | 0.169182i | −0.910723 | − | 0.413018i | \(-0.864475\pi\) |
0.813046 | + | 0.582200i | \(0.197808\pi\) | |||||||
\(492\) | −15.5560 | − | 25.5308i | −0.701320 | − | 1.15102i | ||||
\(493\) | −16.5178 | − | 15.3263i | −0.743926 | − | 0.690262i | ||||
\(494\) | −0.134776 | − | 0.0203143i | −0.00606387 | − | 0.000913982i | ||||
\(495\) | 12.6944 | + | 7.80277i | 0.570570 | + | 0.350708i | ||||
\(496\) | 1.90183 | + | 8.33246i | 0.0853947 | + | 0.374139i | ||||
\(497\) | −18.2278 | + | 6.80232i | −0.817630 | + | 0.305126i | ||||
\(498\) | 0.284474 | − | 0.374546i | 0.0127476 | − | 0.0167838i | ||||
\(499\) | −1.66013 | − | 22.1530i | −0.0743178 | − | 0.991703i | −0.902345 | − | 0.431015i | \(-0.858156\pi\) |
0.828027 | − | 0.560688i | \(-0.189463\pi\) | |||||||
\(500\) | 1.41449 | + | 6.19728i | 0.0632579 | + | 0.277151i | ||||
\(501\) | −4.71437 | − | 7.73731i | −0.210622 | − | 0.345678i | ||||
\(502\) | 0.101147 | + | 0.126834i | 0.00451440 | + | 0.00566088i | ||||
\(503\) | −12.9310 | + | 6.22722i | −0.576563 | + | 0.277658i | −0.699355 | − | 0.714774i | \(-0.746529\pi\) |
0.122792 | + | 0.992432i | \(0.460815\pi\) | |||||||
\(504\) | 0.0532936 | + | 1.74997i | 0.00237388 | + | 0.0779500i | ||||
\(505\) | −13.0239 | − | 6.27199i | −0.579556 | − | 0.279100i | ||||
\(506\) | 0.0722734 | + | 0.316651i | 0.00321295 | + | 0.0140768i | ||||
\(507\) | −12.9696 | − | 51.2131i | −0.576000 | − | 2.27445i | ||||
\(508\) | −0.583996 | −0.0259106 | ||||||||
\(509\) | 19.7615 | + | 34.2279i | 0.875913 | + | 1.51713i | 0.855787 | + | 0.517329i | \(0.173074\pi\) |
0.0201267 | + | 0.999797i | \(0.493593\pi\) | |||||||
\(510\) | −0.788328 | + | 0.766917i | −0.0349078 | + | 0.0339596i | ||||
\(511\) | −14.1773 | + | 28.2152i | −0.627165 | + | 1.24817i | ||||
\(512\) | 2.73592 | − | 3.43074i | 0.120912 | − | 0.151619i | ||||
\(513\) | 1.52597 | − | 1.20722i | 0.0673734 | − | 0.0533000i | ||||
\(514\) | −0.0397071 | − | 0.529854i | −0.00175140 | − | 0.0233709i | ||||
\(515\) | 10.1757 | − | 6.93770i | 0.448397 | − | 0.305712i | ||||
\(516\) | 30.0012 | − | 15.3315i | 1.32073 | − | 0.674931i | ||||
\(517\) | 7.39983 | + | 18.8544i | 0.325444 | + | 0.829218i | ||||
\(518\) | −0.888162 | + | 0.0515514i | −0.0390236 | + | 0.00226504i | ||||
\(519\) | 38.2463 | + | 10.8145i | 1.67883 | + | 0.474705i | ||||
\(520\) | 4.34874 | 0.190705 | ||||||||
\(521\) | 1.78273 | + | 3.08778i | 0.0781028 | + | 0.135278i | 0.902431 | − | 0.430834i | \(-0.141780\pi\) |
−0.824329 | + | 0.566112i | \(0.808447\pi\) | |||||||
\(522\) | 0.740791 | + | 0.624886i | 0.0324235 | + | 0.0273505i | ||||
\(523\) | 1.19301 | + | 0.367994i | 0.0521665 | + | 0.0160912i | 0.320729 | − | 0.947171i | \(-0.396072\pi\) |
−0.268562 | + | 0.963262i | \(0.586548\pi\) | |||||||
\(524\) | 3.19892 | + | 42.6866i | 0.139745 | + | 1.86477i | ||||
\(525\) | 7.93465 | + | 16.1934i | 0.346296 | + | 0.706737i | ||||
\(526\) | 0.0472702 | − | 0.630777i | 0.00206108 | − | 0.0275032i | ||||
\(527\) | 3.01862 | − | 7.69132i | 0.131493 | − | 0.335039i | ||||
\(528\) | 5.96271 | + | 9.78611i | 0.259494 | + | 0.425886i | ||||
\(529\) | −9.99030 | − | 3.08160i | −0.434361 | − | 0.133983i | ||||
\(530\) | −1.51685 | + | 1.03417i | −0.0658877 | + | 0.0449215i | ||||
\(531\) | 8.76319 | + | 5.38641i | 0.380290 | + | 0.233750i | ||||
\(532\) | 0.327739 | − | 1.95111i | 0.0142093 | − | 0.0845914i | ||||
\(533\) | 41.7908 | − | 38.7762i | 1.81016 | − | 1.67958i | ||||
\(534\) | 0.457743 | + | 0.0579671i | 0.0198085 | + | 0.00250848i | ||||
\(535\) | 18.6865 | − | 23.4322i | 0.807890 | − | 1.01306i | ||||
\(536\) | −0.0641856 | + | 0.281215i | −0.00277240 | + | 0.0121467i | ||||
\(537\) | 6.15751 | − | 0.145549i | 0.265716 | − | 0.00628092i | ||||
\(538\) | −0.577217 | − | 0.999769i | −0.0248856 | − | 0.0431031i | ||||
\(539\) | −10.6434 | + | 4.69132i | −0.458443 | + | 0.202070i | ||||
\(540\) | −21.1854 | + | 22.6546i | −0.911675 | + | 0.974899i | ||||
\(541\) | −1.74241 | + | 23.2509i | −0.0749122 | + | 0.999633i | 0.825445 | + | 0.564482i | \(0.190924\pi\) |
−0.900357 | + | 0.435151i | \(0.856695\pi\) | |||||||
\(542\) | −0.897770 | − | 0.833009i | −0.0385625 | − | 0.0357808i | ||||
\(543\) | 1.38566 | − | 27.0577i | 0.0594642 | − | 1.16116i | ||||
\(544\) | −2.43096 | + | 0.749851i | −0.104226 | + | 0.0321496i | ||||
\(545\) | −34.6427 | − | 10.6859i | −1.48393 | − | 0.457732i | ||||
\(546\) | −1.62361 | + | 0.382231i | −0.0694840 | + | 0.0163580i | ||||
\(547\) | 29.5648 | − | 9.11954i | 1.26410 | − | 0.389923i | 0.410983 | − | 0.911643i | \(-0.365186\pi\) |
0.853117 | + | 0.521720i | \(0.174709\pi\) | |||||||
\(548\) | −10.3640 | + | 7.06604i | −0.442727 | + | 0.301846i | ||||
\(549\) | −26.3594 | − | 2.70689i | −1.12499 | − | 0.115527i | ||||
\(550\) | −0.298146 | − | 0.203273i | −0.0127130 | − | 0.00866757i | ||||
\(551\) | −1.36670 | − | 1.71379i | −0.0582234 | − | 0.0730098i | ||||
\(552\) | −1.35282 | + | 0.0319776i | −0.0575800 | + | 0.00136106i | ||||
\(553\) | −2.13407 | − | 1.28045i | −0.0907499 | − | 0.0544501i | ||||
\(554\) | −0.737383 | + | 0.502739i | −0.0313284 | + | 0.0213593i | ||||
\(555\) | −23.6258 | − | 20.9046i | −1.00286 | − | 0.887349i | ||||
\(556\) | −4.65887 | + | 0.702212i | −0.197580 | + | 0.0297804i | ||||
\(557\) | −18.8429 | − | 32.6369i | −0.798400 | − | 1.38287i | −0.920658 | − | 0.390371i | \(-0.872347\pi\) |
0.122258 | − | 0.992498i | \(-0.460986\pi\) | |||||||
\(558\) | −0.114057 | + | 0.336571i | −0.00482840 | + | 0.0142482i | ||||
\(559\) | 40.0566 | + | 50.2293i | 1.69421 | + | 2.12447i | ||||
\(560\) | −0.529701 | + | 31.4854i | −0.0223839 | + | 1.33050i | ||||
\(561\) | 0.566596 | − | 11.0639i | 0.0239217 | − | 0.467119i | ||||
\(562\) | −0.290904 | − | 0.0438468i | −0.0122711 | − | 0.00184956i | ||||
\(563\) | 20.8735 | + | 10.0522i | 0.879714 | + | 0.423648i | 0.818520 | − | 0.574478i | \(-0.194795\pi\) |
0.0611942 | + | 0.998126i | \(0.480509\pi\) | |||||||
\(564\) | −41.5305 | + | 7.26729i | −1.74875 | + | 0.306008i | ||||
\(565\) | −0.582003 | + | 0.729808i | −0.0244850 | + | 0.0307033i | ||||
\(566\) | 0.418477 | − | 0.524754i | 0.0175899 | − | 0.0220570i | ||||
\(567\) | 11.8458 | − | 20.6562i | 0.497477 | − | 0.867477i | ||||
\(568\) | 1.01132 | + | 1.26816i | 0.0424342 | + | 0.0532108i | ||||
\(569\) | 1.14968 | 0.0481973 | 0.0240986 | − | 0.999710i | \(-0.492328\pi\) | ||||
0.0240986 | + | 0.999710i | \(0.492328\pi\) | |||||||
\(570\) | −0.0869518 | + | 0.0623428i | −0.00364201 | + | 0.00261125i | ||||
\(571\) | −6.00014 | − | 7.52393i | −0.251098 | − | 0.314867i | 0.640268 | − | 0.768152i | \(-0.278823\pi\) |
−0.891366 | + | 0.453285i | \(0.850252\pi\) | |||||||
\(572\) | −16.0431 | + | 14.8859i | −0.670797 | + | 0.622409i | ||||
\(573\) | −20.1632 | + | 3.52830i | −0.842331 | + | 0.147397i | ||||
\(574\) | −0.842729 | − | 0.939458i | −0.0351748 | − | 0.0392122i | ||||
\(575\) | −12.5575 | + | 6.04739i | −0.523685 | + | 0.252193i | ||||
\(576\) | −22.3679 | + | 8.07545i | −0.931996 | + | 0.336477i | ||||
\(577\) | −14.3811 | − | 9.80490i | −0.598695 | − | 0.408183i | 0.225701 | − | 0.974197i | \(-0.427533\pi\) |
−0.824396 | + | 0.566013i | \(0.808485\pi\) | |||||||
\(578\) | −0.115115 | − | 0.0355082i | −0.00478815 | − | 0.00147695i | ||||
\(579\) | −12.5233 | + | 2.19141i | −0.520450 | + | 0.0910719i | ||||
\(580\) | 25.6147 | + | 23.7670i | 1.06359 | + | 0.986870i | ||||
\(581\) | −5.84498 | + | 11.6325i | −0.242490 | + | 0.482598i | ||||
\(582\) | −0.185181 | + | 0.909946i | −0.00767601 | + | 0.0377185i | ||||
\(583\) | 4.11491 | − | 18.0286i | 0.170422 | − | 0.746668i | ||||
\(584\) | 2.60317 | + | 0.392365i | 0.107720 | + | 0.0162362i | ||||
\(585\) | −50.3880 | − | 30.9717i | −2.08329 | − | 1.28052i | ||||
\(586\) | −0.105464 | + | 1.40732i | −0.00435667 | + | 0.0581357i | ||||
\(587\) | 2.72395 | + | 4.71802i | 0.112429 | + | 0.194734i | 0.916749 | − | 0.399463i | \(-0.130803\pi\) |
−0.804320 | + | 0.594197i | \(0.797470\pi\) | |||||||
\(588\) | −5.15106 | − | 23.6575i | −0.212426 | − | 0.975619i | ||||
\(589\) | 0.401888 | − | 0.696091i | 0.0165595 | − | 0.0286819i | ||||
\(590\) | −0.467331 | − | 0.318621i | −0.0192397 | − | 0.0131174i | ||||
\(591\) | 4.18244 | + | 9.95807i | 0.172043 | + | 0.409620i | ||||
\(592\) | −8.86362 | − | 22.5841i | −0.364293 | − | 0.928202i | ||||
\(593\) | 17.7229 | + | 16.4444i | 0.727791 | + | 0.675291i | 0.954345 | − | 0.298707i | \(-0.0965554\pi\) |
−0.226554 | + | 0.973999i | \(0.572746\pi\) | |||||||
\(594\) | −0.00185824 | + | 0.476483i | −7.62445e−5 | + | 0.0195503i | ||||
\(595\) | 17.5695 | − | 24.8607i | 0.720281 | − | 1.01919i | ||||
\(596\) | 29.1493 | − | 8.99138i | 1.19400 | − | 0.368301i | ||||
\(597\) | 14.2284 | + | 17.0016i | 0.582330 | + | 0.695828i | ||||
\(598\) | −0.286876 | − | 1.25689i | −0.0117312 | − | 0.0513979i | ||||
\(599\) | 9.43946 | − | 4.54581i | 0.385686 | − | 0.185737i | −0.230986 | − | 0.972957i | \(-0.574195\pi\) |
0.616671 | + | 0.787221i | \(0.288481\pi\) | |||||||
\(600\) | 1.07761 | − | 1.04834i | 0.0439931 | − | 0.0427982i | ||||
\(601\) | 2.15492 | + | 1.46920i | 0.0879011 | + | 0.0599300i | 0.606473 | − | 0.795104i | \(-0.292584\pi\) |
−0.518572 | + | 0.855034i | \(0.673536\pi\) | |||||||
\(602\) | 1.12672 | − | 0.867927i | 0.0459216 | − | 0.0353741i | ||||
\(603\) | 2.74652 | − | 2.80126i | 0.111847 | − | 0.114076i | ||||
\(604\) | −31.8077 | − | 9.81136i | −1.29424 | − | 0.399219i | ||||
\(605\) | −24.3526 | + | 3.67056i | −0.990073 | + | 0.149229i | ||||
\(606\) | −0.0454272 | − | 0.460011i | −0.00184535 | − | 0.0186867i | ||||
\(607\) | 15.5544 | + | 26.9410i | 0.631333 | + | 1.09350i | 0.987279 | + | 0.158995i | \(0.0508254\pi\) |
−0.355946 | + | 0.934507i | \(0.615841\pi\) | |||||||
\(608\) | −0.244715 | + | 0.0368849i | −0.00992452 | + | 0.00149588i | ||||
\(609\) | −23.3223 | − | 13.2542i | −0.945068 | − | 0.537086i | ||||
\(610\) | 1.44078 | + | 0.217162i | 0.0583354 | + | 0.00879265i | ||||
\(611\) | −29.3723 | − | 74.8393i | −1.18827 | − | 3.02768i | ||||
\(612\) | 22.3327 | + | 5.74846i | 0.902744 | + | 0.232368i | ||||
\(613\) | −0.443309 | − | 5.91555i | −0.0179051 | − | 0.238927i | −0.998975 | − | 0.0452715i | \(-0.985585\pi\) |
0.981070 | − | 0.193655i | \(-0.0620343\pi\) | |||||||
\(614\) | 0.0685966 | − | 0.0860174i | 0.00276833 | − | 0.00347138i | ||||
\(615\) | 2.28877 | − | 44.6927i | 0.0922919 | − | 1.80218i | ||||
\(616\) | 0.647527 | + | 0.721850i | 0.0260896 | + | 0.0290842i | ||||
\(617\) | 5.86697 | − | 0.884303i | 0.236195 | − | 0.0356007i | −0.0298779 | − | 0.999554i | \(-0.509512\pi\) |
0.266073 | + | 0.963953i | \(0.414274\pi\) | |||||||
\(618\) | 0.358764 | + | 0.162442i | 0.0144316 | + | 0.00653439i | ||||
\(619\) | 5.43604 | − | 9.41549i | 0.218493 | − | 0.378441i | −0.735855 | − | 0.677140i | \(-0.763219\pi\) |
0.954347 | + | 0.298699i | \(0.0965527\pi\) | |||||||
\(620\) | −4.68106 | + | 11.9272i | −0.187996 | + | 0.479006i | ||||
\(621\) | 15.9027 | + | 9.26428i | 0.638151 | + | 0.371763i | ||||
\(622\) | −0.358697 | − | 0.172739i | −0.0143824 | − | 0.00692622i | ||||
\(623\) | −12.7497 | + | 0.740030i | −0.510807 | + | 0.0296487i | ||||
\(624\) | −23.6679 | − | 38.8442i | −0.947474 | − | 1.55501i | ||||
\(625\) | −10.6645 | + | 27.1727i | −0.426580 | + | 1.08691i | ||||
\(626\) | 1.20338 | − | 0.579519i | 0.0480969 | − | 0.0231622i | ||||
\(627\) | 0.214918 | − | 1.05607i | 0.00858298 | − | 0.0421752i | ||||
\(628\) | −14.9440 | − | 7.19667i | −0.596332 | − | 0.287178i | ||||
\(629\) | −5.21906 | + | 22.8662i | −0.208098 | + | 0.911736i | ||||
\(630\) | −0.704306 | + | 1.10378i | −0.0280602 | + | 0.0439756i | ||||
\(631\) | 3.44458 | + | 15.0917i | 0.137126 | + | 0.600790i | 0.996058 | + | 0.0887003i | \(0.0282714\pi\) |
−0.858932 | + | 0.512090i | \(0.828872\pi\) | |||||||
\(632\) | −0.0461703 | + | 0.202285i | −0.00183656 | + | 0.00804648i | ||||
\(633\) | −33.4977 | − | 21.6969i | −1.33142 | − | 0.862374i | ||||
\(634\) | −0.201120 | + | 0.881166i | −0.00798751 | + | 0.0349956i | ||||
\(635\) | −0.722265 | − | 0.492432i | −0.0286622 | − | 0.0195416i | ||||
\(636\) | 35.0661 | + | 15.8773i | 1.39046 | + | 0.629577i | ||||
\(637\) | 42.2470 | − | 18.6214i | 1.67389 | − | 0.737805i | ||||
\(638\) | 0.536791 | 0.0212518 | ||||||||
\(639\) | −2.68619 | − | 21.8966i | −0.106264 | − | 0.866215i | ||||
\(640\) | 5.02506 | − | 1.55003i | 0.198633 | − | 0.0612702i | ||||
\(641\) | 6.37462 | + | 16.2423i | 0.251783 | + | 0.641531i | 0.999754 | − | 0.0221999i | \(-0.00706704\pi\) |
−0.747971 | + | 0.663731i | \(0.768972\pi\) | |||||||
\(642\) | 0.950800 | + | 0.120406i | 0.0375251 | + | 0.00475206i | ||||
\(643\) | −28.5101 | − | 8.79420i | −1.12433 | − | 0.346809i | −0.323812 | − | 0.946121i | \(-0.604965\pi\) |
−0.800516 | + | 0.599312i | \(0.795441\pi\) | |||||||
\(644\) | 18.3118 | − | 3.85668i | 0.721588 | − | 0.151974i | ||||
\(645\) | 50.0321 | + | 6.33590i | 1.97001 | + | 0.249476i | ||||
\(646\) | 0.0716690 | + | 0.0345140i | 0.00281978 | + | 0.00135793i | ||||
\(647\) | −21.7896 | + | 20.2178i | −0.856638 | + | 0.794844i | −0.980307 | − | 0.197479i | \(-0.936724\pi\) |
0.123669 | + | 0.992324i | \(0.460534\pi\) | |||||||
\(648\) | −1.94377 | − | 0.403473i | −0.0763585 | − | 0.0158499i | ||||
\(649\) | 5.63369 | − | 0.849142i | 0.221142 | − | 0.0333318i | ||||
\(650\) | 1.18344 | + | 0.806854i | 0.0464182 | + | 0.0316474i | ||||
\(651\) | 1.39976 | − | 9.73633i | 0.0548610 | − | 0.381597i | ||||
\(652\) | −3.86958 | + | 2.63823i | −0.151544 | + | 0.103321i | ||||
\(653\) | −17.2019 | + | 15.9611i | −0.673163 | + | 0.624604i | −0.940819 | − | 0.338911i | \(-0.889942\pi\) |
0.267655 | + | 0.963515i | \(0.413751\pi\) | |||||||
\(654\) | −0.284603 | − | 1.12381i | −0.0111288 | − | 0.0439446i | ||||
\(655\) | −32.0375 | + | 55.4907i | −1.25181 | + | 2.16820i | ||||
\(656\) | 17.2083 | − | 29.8056i | 0.671870 | − | 1.16371i | ||||
\(657\) | −27.3680 | − | 23.0860i | −1.06773 | − | 0.900671i | ||||
\(658\) | −1.66747 | + | 0.622271i | −0.0650047 | + | 0.0242587i | ||||
\(659\) | 2.22058 | + | 0.334699i | 0.0865016 | + | 0.0130380i | 0.192150 | − | 0.981365i | \(-0.438454\pi\) |
−0.105649 | + | 0.994403i | \(0.533692\pi\) | |||||||
\(660\) | −0.878638 | + | 17.1571i | −0.0342009 | + | 0.667841i | ||||
\(661\) | −1.57432 | − | 0.758152i | −0.0612339 | − | 0.0294887i | 0.403016 | − | 0.915193i | \(-0.367962\pi\) |
−0.464250 | + | 0.885704i | \(0.653676\pi\) | |||||||
\(662\) | 0.477464 | + | 0.229934i | 0.0185572 | + | 0.00893665i | ||||
\(663\) | −2.24900 | + | 43.9162i | −0.0873440 | + | 1.70556i | ||||
\(664\) | 1.07323 | + | 0.161764i | 0.0416494 | + | 0.00627764i | ||||
\(665\) | 2.05054 | − | 2.13671i | 0.0795164 | − | 0.0828581i | ||||
\(666\) | 0.177754 | − | 0.992992i | 0.00688784 | − | 0.0384776i | ||||
\(667\) | 10.3668 | − | 17.9559i | 0.401405 | − | 0.695255i | ||||
\(668\) | 5.22307 | − | 9.04663i | 0.202087 | − | 0.350024i | ||||
\(669\) | 4.66834 | + | 18.4339i | 0.180488 | + | 0.712696i | ||||
\(670\) | −0.158133 | + | 0.146726i | −0.00610920 | + | 0.00566851i | ||||
\(671\) | −12.1264 | + | 8.26767i | −0.468136 | + | 0.319170i | ||||
\(672\) | −2.61247 | + | 1.53213i | −0.100778 | + | 0.0591032i | ||||
\(673\) | 7.36817 | + | 5.02353i | 0.284022 | + | 0.193643i | 0.696948 | − | 0.717122i | \(-0.254541\pi\) |
−0.412926 | + | 0.910765i | \(0.635493\pi\) | |||||||
\(674\) | −1.34537 | + | 0.202782i | −0.0518217 | + | 0.00781087i | ||||
\(675\) | −19.9523 | + | 4.47219i | −0.767964 | + | 0.172135i | ||||
\(676\) | 44.6500 | − | 41.4292i | 1.71731 | − | 1.59343i | ||||
\(677\) | −27.4122 | − | 13.2010i | −1.05353 | − | 0.507356i | −0.174769 | − | 0.984609i | \(-0.555918\pi\) |
−0.878765 | + | 0.477254i | \(0.841632\pi\) | |||||||
\(678\) | −0.0296132 | − | 0.00375012i | −0.00113729 | − | 0.000144023i | ||||
\(679\) | 0.432357 | − | 25.6993i | 0.0165923 | − | 0.986249i | ||||
\(680\) | −2.42525 | − | 0.748092i | −0.0930043 | − | 0.0286880i | ||||
\(681\) | 18.0287 | + | 2.28310i | 0.690861 | + | 0.0874884i | ||||
\(682\) | 0.0719110 | + | 0.183226i | 0.00275361 | + | 0.00701609i | ||||
\(683\) | −46.8393 | + | 14.4480i | −1.79225 | + | 0.552837i | −0.998467 | − | 0.0553572i | \(-0.982370\pi\) |
−0.793788 | + | 0.608195i | \(0.791894\pi\) | |||||||
\(684\) | 2.06492 | + | 0.876766i | 0.0789541 | + | 0.0335240i | ||||
\(685\) | −18.7760 | −0.717393 | ||||||||
\(686\) | −0.396442 | − | 0.942050i | −0.0151362 | − | 0.0359676i | ||||
\(687\) | 18.9065 | + | 8.56054i | 0.721328 | + | 0.326605i | ||||
\(688\) | 32.0458 | + | 21.8484i | 1.22173 | + | 0.832964i | ||||
\(689\) | −16.3334 | + | 71.5613i | −0.622253 | + | 2.72627i | ||||
\(690\) | −0.849396 | − | 0.550164i | −0.0323360 | − | 0.0209444i | ||||
\(691\) | −8.90219 | + | 39.0030i | −0.338655 | + | 1.48374i | 0.463215 | + | 0.886246i | \(0.346696\pi\) |
−0.801870 | + | 0.597499i | \(0.796161\pi\) | |||||||
\(692\) | 10.1970 | + | 44.6758i | 0.387630 | + | 1.69832i | ||||
\(693\) | −2.36176 | − | 12.9756i | −0.0897158 | − | 0.492903i | ||||
\(694\) | −0.122988 | + | 0.538845i | −0.00466856 | + | 0.0204543i | ||||
\(695\) | −6.35404 | − | 3.05995i | −0.241023 | − | 0.116070i | ||||
\(696\) | −0.445994 | + | 2.19153i | −0.0169054 | + | 0.0830698i | ||||
\(697\) | −29.9769 | + | 14.4361i | −1.13545 | + | 0.546806i | ||||
\(698\) | −0.190286 | + | 0.484841i | −0.00720243 | + | 0.0183515i | ||||
\(699\) | 23.4649 | + | 38.5110i | 0.887524 | + | 1.45662i | ||||
\(700\) | −11.9992 | + | 16.9788i | −0.453527 | + | 0.641737i | ||||
\(701\) | −11.3127 | − | 5.44789i | −0.427274 | − | 0.205764i | 0.207873 | − | 0.978156i | \(-0.433346\pi\) |
−0.635146 | + | 0.772392i | \(0.719060\pi\) | |||||||
\(702\) | 0.00737595 | − | 1.89131i | 0.000278387 | − | 0.0713830i | ||||
\(703\) | −0.833577 | + | 2.12392i | −0.0314390 | + | 0.0801051i | ||||
\(704\) | −6.58588 | + | 11.4071i | −0.248215 | + | 0.429921i | ||||
\(705\) | −57.4913 | − | 26.0311i | −2.16525 | − | 0.980387i | ||||
\(706\) | 0.492882 | − | 0.0742899i | 0.0185498 | − | 0.00279594i | ||||
\(707\) | 3.56512 | + | 12.2880i | 0.134080 | + | 0.462138i | ||||
\(708\) | −0.606542 | + | 11.8439i | −0.0227952 | + | 0.445122i | ||||
\(709\) | −2.71044 | + | 3.39878i | −0.101793 | + | 0.127644i | −0.830119 | − | 0.557587i | \(-0.811727\pi\) |
0.728326 | + | 0.685231i | \(0.240299\pi\) | |||||||
\(710\) | 0.0906518 | + | 1.20966i | 0.00340210 | + | 0.0453979i | ||||
\(711\) | 1.97564 | − | 2.01502i | 0.0740923 | − | 0.0755691i | ||||
\(712\) | 0.388994 | + | 0.991141i | 0.0145782 | + | 0.0371446i | ||||
\(713\) | 7.51778 | + | 1.13312i | 0.281543 | + | 0.0424358i | ||||
\(714\) | 0.971225 | + | 0.0661342i | 0.0363472 | + | 0.00247501i | ||||
\(715\) | −32.3935 | + | 4.88254i | −1.21145 | + | 0.182597i | ||||
\(716\) | 3.55062 | + | 6.14985i | 0.132693 | + | 0.229831i | ||||
\(717\) | −2.58544 | − | 26.1811i | −0.0965552 | − | 0.977751i | ||||
\(718\) | −1.40472 | + | 0.211727i | −0.0524235 | + | 0.00790157i | ||||
\(719\) | −20.6170 | − | 6.35950i | −0.768884 | − | 0.237169i | −0.114593 | − | 0.993413i | \(-0.536556\pi\) |
−0.654290 | + | 0.756243i | \(0.727033\pi\) | |||||||
\(720\) | −34.5790 | − | 8.90069i | −1.28868 | − | 0.331709i | ||||
\(721\) | −10.5852 | − | 2.60409i | −0.394214 | − | 0.0969814i | ||||
\(722\) | −0.859954 | − | 0.586307i | −0.0320042 | − | 0.0218201i | ||||
\(723\) | 30.1802 | − | 29.3605i | 1.12241 | − | 1.09193i | ||||
\(724\) | 28.1434 | − | 13.5531i | 1.04594 | − | 0.503698i | ||||
\(725\) | 5.12582 | + | 22.4577i | 0.190368 | + | 0.834057i | ||||
\(726\) | −0.505430 | − | 0.603940i | −0.0187583 | − | 0.0224143i | ||||
\(727\) | −5.11672 | + | 1.57830i | −0.189769 | + | 0.0585359i | −0.388183 | − | 0.921582i | \(-0.626897\pi\) |
0.198414 | + | 0.980118i | \(0.436421\pi\) | |||||||
\(728\) | −2.57024 | − | 2.86525i | −0.0952595 | − | 0.106193i | ||||
\(729\) | 19.6486 | + | 18.5185i | 0.727724 | + | 0.685870i | ||||
\(730\) | 1.44323 | + | 1.33912i | 0.0534164 | + | 0.0495631i | ||||
\(731\) | −13.6985 | − | 34.9032i | −0.506657 | − | 1.29094i | ||||
\(732\) | −11.8304 | − | 28.1672i | −0.437262 | − | 1.04109i | ||||
\(733\) | 13.0899 | + | 8.92456i | 0.483488 | + | 0.329636i | 0.780413 | − | 0.625264i | \(-0.215009\pi\) |
−0.296925 | + | 0.954901i | \(0.595961\pi\) | |||||||
\(734\) | −0.844139 | + | 1.46209i | −0.0311577 | + | 0.0539668i | ||||
\(735\) | 13.5776 | − | 33.6022i | 0.500818 | − | 1.23944i | ||||
\(736\) | −1.17042 | − | 2.02723i | −0.0431422 | − | 0.0747245i | ||||
\(737\) | 0.162381 | − | 2.16682i | 0.00598138 | − | 0.0798160i | ||||
\(738\) | 1.25854 | − | 0.681127i | 0.0463274 | − | 0.0250726i | ||||
\(739\) | −30.7434 | − | 4.63383i | −1.13092 | − | 0.170458i | −0.443189 | − | 0.896428i | \(-0.646153\pi\) |
−0.687727 | + | 0.725970i | \(0.741391\pi\) | |||||||
\(740\) | 8.09336 | − | 35.4593i | 0.297518 | − | 1.30351i | ||||
\(741\) | −0.853077 | + | 4.19186i | −0.0313386 | + | 0.153992i | ||||
\(742\) | 1.57789 | + | 0.388179i | 0.0579262 | + | 0.0142505i | ||||
\(743\) | 20.9786 | + | 19.4653i | 0.769630 | + | 0.714112i | 0.963733 | − | 0.266869i | \(-0.0859891\pi\) |
−0.194103 | + | 0.980981i | \(0.562180\pi\) | |||||||
\(744\) | −0.807796 | + | 0.141354i | −0.0296153 | + | 0.00518228i | ||||
\(745\) | 43.6325 | + | 13.4588i | 1.59857 | + | 0.493094i | ||||
\(746\) | 1.22120 | + | 0.832598i | 0.0447112 | + | 0.0304836i | ||||
\(747\) | −11.2832 | − | 9.51787i | −0.412832 | − | 0.348241i | ||||
\(748\) | 11.5079 | − | 5.54190i | 0.420769 | − | 0.202632i | ||||
\(749\) | −26.4831 | + | 1.53715i | −0.967671 | + | 0.0561663i | ||||
\(750\) | −0.299713 | + | 0.0524458i | −0.0109440 | + | 0.00191505i | ||||
\(751\) | 9.53870 | − | 8.85062i | 0.348072 | − | 0.322964i | −0.486690 | − | 0.873575i | \(-0.661796\pi\) |
0.834762 | + | 0.550611i | \(0.185605\pi\) | |||||||
\(752\) | −30.2614 | − | 37.9466i | −1.10352 | − | 1.38377i | ||||
\(753\) | 4.13788 | − | 2.96678i | 0.150793 | − | 0.108116i | ||||
\(754\) | −2.13070 | −0.0775954 | ||||||||
\(755\) | −31.0655 | − | 38.9549i | −1.13059 | − | 1.41772i | ||||
\(756\) | 27.4477 | + | 0.568852i | 0.998263 | + | 0.0206889i | ||||
\(757\) | 4.36148 | − | 5.46913i | 0.158521 | − | 0.198779i | −0.696228 | − | 0.717821i | \(-0.745140\pi\) |
0.854749 | + | 0.519042i | \(0.173711\pi\) | |||||||
\(758\) | 0.0852734 | − | 0.106929i | 0.00309727 | − | 0.00388385i | ||||
\(759\) | 10.0412 | − | 1.75708i | 0.364473 | − | 0.0637779i | ||||
\(760\) | −0.222448 | − | 0.107125i | −0.00806904 | − | 0.00388585i | ||||
\(761\) | −30.2837 | − | 4.56454i | −1.09778 | − | 0.165464i | −0.424920 | − | 0.905231i | \(-0.639698\pi\) |
−0.672864 | + | 0.739766i | \(0.734936\pi\) | |||||||
\(762\) | 0.00142966 | − | 0.0279169i | 5.17910e−5 | − | 0.00101132i | ||||
\(763\) | 13.4343 | + | 29.1407i | 0.486355 | + | 1.05496i | ||||
\(764\) | −14.7145 | − | 18.4514i | −0.532353 | − | 0.667549i | ||||
\(765\) | 22.7731 | + | 25.9406i | 0.823362 | + | 0.937886i | ||||
\(766\) | 0.0338708 | + | 0.0586660i | 0.00122380 | + | 0.00211969i | ||||
\(767\) | −22.3619 | + | 3.37052i | −0.807442 | + | 0.121702i | ||||
\(768\) | −20.4394 | − | 18.0852i | −0.737542 | − | 0.652592i | ||||
\(769\) | −34.6493 | + | 23.6235i | −1.24949 | + | 0.851886i | −0.993393 | − | 0.114766i | \(-0.963388\pi\) |
−0.256095 | + | 0.966652i | \(0.582436\pi\) | |||||||
\(770\) | 0.0960097 | + | 0.718832i | 0.00345995 | + | 0.0259049i | ||||
\(771\) | −16.6716 | + | 0.394079i | −0.600414 | + | 0.0141924i | ||||
\(772\) | −9.13912 | − | 11.4601i | −0.328924 | − | 0.412458i | ||||
\(773\) | 37.5014 | + | 25.5680i | 1.34883 | + | 0.919618i | 0.999847 | − | 0.0175101i | \(-0.00557391\pi\) |
0.348985 | + | 0.937128i | \(0.386526\pi\) | |||||||
\(774\) | 0.659449 | + | 1.47168i | 0.0237034 | + | 0.0528986i | ||||
\(775\) | −6.97893 | + | 4.75816i | −0.250691 | + | 0.170918i | ||||
\(776\) | −2.04767 | + | 0.631623i | −0.0735071 | + | 0.0226739i | ||||
\(777\) | 0.190183 | + | 27.9216i | 0.00682277 | + | 1.00168i | ||||
\(778\) | 0.845889 | + | 0.260922i | 0.0303266 | + | 0.00935452i | ||||
\(779\) | −3.09290 | + | 0.954033i | −0.110815 | + | 0.0341818i | ||||
\(780\) | 3.48759 | − | 68.1022i | 0.124876 | − | 2.43845i | ||||
\(781\) | −8.95712 | − | 8.31099i | −0.320511 | − | 0.297391i | ||||
\(782\) | −0.0562276 | + | 0.750305i | −0.00201069 | + | 0.0268309i | ||||
\(783\) | 20.7757 | − | 22.2165i | 0.742464 | − | 0.793953i | ||||
\(784\) | 21.0579 | − | 18.2599i | 0.752067 | − | 0.652138i | ||||
\(785\) | −12.4139 | − | 21.5016i | −0.443073 | − | 0.767424i | ||||
\(786\) | −2.04839 | + | 0.0484192i | −0.0730636 | + | 0.00172706i | ||||
\(787\) | −6.31605 | + | 27.6724i | −0.225143 | + | 0.986415i | 0.728399 | + | 0.685153i | \(0.240265\pi\) |
−0.953542 | + | 0.301262i | \(0.902592\pi\) | |||||||
\(788\) | −7.76409 | + | 9.73586i | −0.276584 | + | 0.346826i | ||||
\(789\) | −19.6954 | − | 2.49416i | −0.701175 | − | 0.0887946i | ||||
\(790\) | −0.113749 | + | 0.105544i | −0.00404700 | + | 0.00375507i | ||||
\(791\) | 0.824831 | − | 0.0478755i | 0.0293276 | − | 0.00170226i | ||||
\(792\) | −0.967021 | + | 0.523357i | −0.0343616 | + | 0.0185967i | ||||
\(793\) | 48.1337 | − | 32.8170i | 1.70928 | − | 1.16537i | ||||
\(794\) | −0.357918 | − | 0.110403i | −0.0127020 | − | 0.00391806i | ||||
\(795\) | 29.9805 | + | 49.2046i | 1.06330 | + | 1.74511i | ||||
\(796\) | −9.33831 | + | 23.7936i | −0.330988 | + | 0.843342i | ||||
\(797\) | 0.281424 | − | 3.75534i | 0.00996855 | − | 0.133021i | −0.989999 | − | 0.141074i | \(-0.954944\pi\) |
0.999968 | + | 0.00805316i | \(0.00256343\pi\) | |||||||
\(798\) | 0.0924670 | + | 0.0204434i | 0.00327330 | + | 0.000723688i | ||||
\(799\) | 3.50643 | + | 46.7900i | 0.124048 | + | 1.65531i | ||||
\(800\) | 2.48514 | + | 0.766564i | 0.0878630 | + | 0.0271021i | ||||
\(801\) | 2.55170 | − | 14.2546i | 0.0901598 | − | 0.503661i | ||||
\(802\) | −0.295737 | − | 0.512231i | −0.0104428 | − | 0.0180875i | ||||
\(803\) | −19.8314 | −0.699835 | ||||||||
\(804\) | 4.35242 | + | 1.23069i | 0.153498 | + | 0.0434030i | ||||
\(805\) | 25.8994 | + | 10.6710i | 0.912835 | + | 0.376102i | ||||
\(806\) | −0.285438 | − | 0.727283i | −0.0100541 | − | 0.0256175i | ||||
\(807\) | −32.2636 | + | 16.4877i | −1.13573 | + | 0.580393i | ||||
\(808\) | 0.881353 | − | 0.600897i | 0.0310059 | − | 0.0211395i | ||||
\(809\) | −1.12910 | − | 15.0669i | −0.0396972 | − | 0.529723i | −0.981235 | − | 0.192815i | \(-0.938238\pi\) |
0.941538 | − | 0.336907i | \(-0.109381\pi\) | |||||||
\(810\) | −1.03110 | − | 1.06819i | −0.0362292 | − | 0.0375324i | ||||
\(811\) | 9.07621 | − | 11.3812i | 0.318709 | − | 0.399648i | −0.596510 | − | 0.802606i | \(-0.703446\pi\) |
0.915219 | + | 0.402958i | \(0.132018\pi\) | |||||||
\(812\) | 0.520252 | − | 30.9238i | 0.0182573 | − | 1.08521i | ||||
\(813\) | −27.5512 | + | 26.8028i | −0.966261 | + | 0.940017i | ||||
\(814\) | −0.279369 | − | 0.483882i | −0.00979189 | − | 0.0169601i | ||||
\(815\) | −7.01035 | −0.245562 | ||||||||
\(816\) | 6.51721 | + | 25.7345i | 0.228148 | + | 0.900889i | ||||
\(817\) | −0.811654 | − | 3.55609i | −0.0283962 | − | 0.124412i | ||||
\(818\) | −0.0159604 | − | 0.00768611i | −0.000558042 | − | 0.000268739i | ||||
\(819\) | 9.37458 | + | 51.5044i | 0.327574 | + | 1.79971i | ||||
\(820\) | 46.4860 | − | 22.3865i | 1.62336 | − | 0.781770i | ||||
\(821\) | −28.3736 | − | 35.5794i | −0.990245 | − | 1.24173i | −0.970294 | − | 0.241927i | \(-0.922221\pi\) |
−0.0199506 | − | 0.999801i | \(-0.506351\pi\) | |||||||
\(822\) | −0.312408 | − | 0.512729i | −0.0108965 | − | 0.0178835i | ||||
\(823\) | −1.86601 | − | 8.17554i | −0.0650452 | − | 0.284982i | 0.931936 | − | 0.362622i | \(-0.118118\pi\) |
−0.996981 | + | 0.0776407i | \(0.975261\pi\) | |||||||
\(824\) | 0.0679155 | + | 0.906269i | 0.00236595 | + | 0.0315714i | ||||
\(825\) | −6.85002 | + | 9.01889i | −0.238487 | + | 0.313998i | ||||
\(826\) | 0.0662775 | + | 0.496225i | 0.00230609 | + | 0.0172659i | ||||
\(827\) | 11.4407 | + | 50.1250i | 0.397832 | + | 1.74302i | 0.635902 | + | 0.771770i | \(0.280628\pi\) |
−0.238070 | + | 0.971248i | \(0.576515\pi\) | |||||||
\(828\) | −0.584158 | + | 21.2111i | −0.0203009 | + | 0.737138i | ||||
\(829\) | 24.7471 | + | 3.73003i | 0.859503 | + | 0.129549i | 0.563982 | − | 0.825787i | \(-0.309269\pi\) |
0.295521 | + | 0.955336i | \(0.404507\pi\) | |||||||
\(830\) | 0.595013 | + | 0.552091i | 0.0206532 | + | 0.0191634i | ||||
\(831\) | 14.5744 | + | 23.9197i | 0.505580 | + | 0.829767i | ||||
\(832\) | 26.1415 | − | 45.2784i | 0.906293 | − | 1.56974i | ||||
\(833\) | −26.7641 | + | 3.11743i | −0.927323 | + | 0.108013i | ||||
\(834\) | −0.0221628 | − | 0.224428i | −0.000767435 | − | 0.00777131i | ||||
\(835\) | 14.0879 | − | 6.78439i | 0.487533 | − | 0.234783i | ||||
\(836\) | 1.18734 | − | 0.366245i | 0.0410649 | − | 0.0126669i | ||||
\(837\) | 10.3665 | + | 4.11528i | 0.358319 | + | 0.142245i | ||||
\(838\) | 1.29486 | + | 1.20145i | 0.0447302 | + | 0.0415036i | ||||
\(839\) | −15.2432 | + | 14.1436i | −0.526254 | + | 0.488292i | −0.897972 | − | 0.440054i | \(-0.854959\pi\) |
0.371718 | + | 0.928346i | \(0.378769\pi\) | |||||||
\(840\) | −3.01451 | − | 0.205269i | −0.104011 | − | 0.00708245i | ||||
\(841\) | −3.86086 | − | 3.58235i | −0.133133 | − | 0.123529i | ||||
\(842\) | −0.0138887 | − | 0.185332i | −0.000478636 | − | 0.00638695i | ||||
\(843\) | −1.84130 | + | 9.04781i | −0.0634178 | + | 0.311623i | ||||
\(844\) | 3.43867 | − | 45.8859i | 0.118364 | − | 1.57946i | ||||
\(845\) | 90.1551 | − | 13.5887i | 3.10143 | − | 0.467465i | ||||
\(846\) | −0.245731 | − | 2.00308i | −0.00844840 | − | 0.0688674i | ||||
\(847\) | 16.8115 | + | 13.8758i | 0.577652 | + | 0.476777i | ||||
\(848\) | 3.31148 | + | 44.1886i | 0.113717 | + | 1.51744i | ||||
\(849\) | −15.7763 | − | 13.9592i | −0.541441 | − | 0.479078i | ||||
\(850\) | −0.521194 | − | 0.653556i | −0.0178768 | − | 0.0224168i | ||||
\(851\) | −21.5814 | −0.739801 | ||||||||
\(852\) | 20.6707 | − | 14.8205i | 0.708167 | − | 0.507742i | ||||
\(853\) | 12.5600 | − | 32.0025i | 0.430048 | − | 1.09574i | −0.537547 | − | 0.843234i | \(-0.680649\pi\) |
0.967594 | − | 0.252509i | \(-0.0812559\pi\) | |||||||
\(854\) | −0.708463 | − | 1.07764i | −0.0242431 | − | 0.0368759i | ||||
\(855\) | 1.81452 | + | 2.82552i | 0.0620552 | + | 0.0966306i | ||||
\(856\) | 0.807999 | + | 2.05875i | 0.0276168 | + | 0.0703666i | ||||
\(857\) | 37.0850 | − | 25.2841i | 1.26680 | − | 0.863690i | 0.271683 | − | 0.962387i | \(-0.412420\pi\) |
0.995118 | + | 0.0986969i | \(0.0314674\pi\) | |||||||
\(858\) | −0.672317 | − | 0.803355i | −0.0229525 | − | 0.0274261i | ||||
\(859\) | −29.7056 | − | 4.47739i | −1.01354 | − | 0.152767i | −0.378789 | − | 0.925483i | \(-0.623660\pi\) |
−0.634752 | + | 0.772716i | \(0.718898\pi\) | |||||||
\(860\) | 21.2427 | + | 54.1254i | 0.724369 | + | 1.84566i | ||||
\(861\) | −30.7994 | + | 24.9068i | −1.04964 | + | 0.848820i | ||||
\(862\) | −0.0555475 | + | 0.141533i | −0.00189195 | + | 0.00482062i | ||||
\(863\) | 9.92064 | − | 17.1831i | 0.337703 | − | 0.584918i | −0.646298 | − | 0.763085i | \(-0.723684\pi\) |
0.984000 | + | 0.178167i | \(0.0570168\pi\) | |||||||
\(864\) | −0.999416 | − | 3.28546i | −0.0340008 | − | 0.111774i | ||||
\(865\) | −25.0599 | + | 63.8516i | −0.852062 | + | 2.17102i | ||||
\(866\) | 0.449793 | + | 1.97067i | 0.0152846 | + | 0.0669662i | ||||
\(867\) | −1.29776 | + | 3.55120i | −0.0440743 | + | 0.120605i | ||||
\(868\) | 10.6251 | − | 3.96511i | 0.360639 | − | 0.134585i | ||||
\(869\) | 0.116805 | − | 1.55865i | 0.00396233 | − | 0.0528736i | ||||
\(870\) | −1.19884 | + | 1.16628i | −0.0406446 | + | 0.0395407i | ||||
\(871\) | −0.644542 | + | 8.60081i | −0.0218395 | + | 0.291427i | ||||
\(872\) | 1.96108 | − | 1.81962i | 0.0664106 | − | 0.0616200i | ||||
\(873\) | 28.2244 | + | 7.26500i | 0.955251 | + | 0.245883i | ||||
\(874\) | −0.0162873 | + | 0.0713595i | −0.000550928 | + | 0.00241377i | ||||
\(875\) | 7.89037 | − | 2.94455i | 0.266743 | − | 0.0995441i | ||||
\(876\) | 8.23220 | − | 40.4515i | 0.278140 | − | 1.36673i | ||||
\(877\) | 32.0565 | − | 9.88811i | 1.08247 | − | 0.333898i | 0.298318 | − | 0.954467i | \(-0.403574\pi\) |
0.784152 | + | 0.620569i | \(0.213098\pi\) | |||||||
\(878\) | 0.0236923 | − | 0.0297092i | 0.000799577 | − | 0.00100264i | ||||
\(879\) | 43.9421 | + | 5.56468i | 1.48213 | + | 0.187692i | ||||
\(880\) | −17.8183 | + | 8.58086i | −0.600656 | + | 0.289261i | ||||
\(881\) | 45.2498 | 1.52450 | 0.762252 | − | 0.647281i | \(-0.224094\pi\) | ||||
0.762252 | + | 0.647281i | \(0.224094\pi\) | |||||||
\(882\) | 1.14351 | − | 0.188322i | 0.0385041 | − | 0.00634114i | ||||
\(883\) | −35.2609 | −1.18662 | −0.593312 | − | 0.804973i | \(-0.702180\pi\) | ||||
−0.593312 | + | 0.804973i | \(0.702180\pi\) | |||||||
\(884\) | −45.6784 | + | 21.9976i | −1.53633 | + | 0.739858i | ||||
\(885\) | −10.7371 | + | 14.1367i | −0.360923 | + | 0.475200i | ||||
\(886\) | −0.897255 | + | 1.12512i | −0.0301439 | + | 0.0377992i | ||||
\(887\) | 11.5671 | − | 3.56797i | 0.388385 | − | 0.119801i | −0.0944122 | − | 0.995533i | \(-0.530097\pi\) |
0.482797 | + | 0.875732i | \(0.339621\pi\) | |||||||
\(888\) | 2.20764 | − | 0.738534i | 0.0740834 | − | 0.0247836i | ||||
\(889\) | 0.102433 | + | 0.766922i | 0.00343548 | + | 0.0257217i | ||||
\(890\) | −0.177189 | + | 0.776314i | −0.00593938 | + | 0.0260221i | ||||
\(891\) | 14.9320 | + | 0.823086i | 0.500242 | + | 0.0275744i | ||||
\(892\) | −16.0715 | + | 14.9122i | −0.538115 | + | 0.499298i | ||||
\(893\) | −0.341107 | + | 4.55175i | −0.0114147 | + | 0.152319i | ||||
\(894\) | 0.358457 | + | 1.41544i | 0.0119886 | + | 0.0473395i | ||||
\(895\) | −0.794348 | + | 10.5998i | −0.0265521 | + | 0.354313i | ||||
\(896\) | −3.99124 | − | 2.39475i | −0.133338 | − | 0.0800030i | ||||
\(897\) | −39.8567 | + | 6.97441i | −1.33078 | + | 0.232869i | ||||
\(898\) | 0.106314 | + | 0.465794i | 0.00354776 | + | 0.0155437i | ||||
\(899\) | 4.59054 | − | 11.6965i | 0.153103 | − | 0.390100i | ||||
\(900\) | −15.5530 | − | 17.7163i | −0.518433 | − | 0.590543i | ||||
\(901\) | 21.4193 | − | 37.0994i | 0.713581 | − | 1.23596i | ||||
\(902\) | 0.289575 | − | 0.737826i | 0.00964181 | − | 0.0245669i | ||||
\(903\) | −25.3960 | − | 36.7093i | −0.845125 | − | 1.22161i | ||||
\(904\) | −0.0251656 | − | 0.0641208i | −0.000836995 | − | 0.00213263i | ||||
\(905\) | 46.2349 | + | 6.96879i | 1.53690 | + | 0.231650i | ||||
\(906\) | 0.546882 | − | 1.49649i | 0.0181689 | − | 0.0497175i | ||||
\(907\) | 0.0359423 | − | 0.0245050i | 0.00119344 | − | 0.000813677i | −0.562723 | − | 0.826645i | \(-0.690246\pi\) |
0.563917 | + | 0.825832i | \(0.309294\pi\) | |||||||
\(908\) | 7.65464 | + | 19.5037i | 0.254028 | + | 0.647253i | ||||
\(909\) | −14.4917 | + | 0.685482i | −0.480658 | + | 0.0227360i | ||||
\(910\) | −0.381093 | − | 2.85327i | −0.0126331 | − | 0.0945851i | ||||
\(911\) | 15.7306 | − | 40.0808i | 0.521177 | − | 1.32794i | −0.391846 | − | 0.920031i | \(-0.628164\pi\) |
0.913024 | − | 0.407907i | \(-0.133741\pi\) | |||||||
\(912\) | 0.253793 | + | 2.57000i | 0.00840393 | + | 0.0851011i | ||||
\(913\) | −8.17606 | −0.270588 | ||||||||
\(914\) | 0.00716808 | + | 0.00898849i | 0.000237099 | + | 0.000297313i | ||||
\(915\) | 9.11951 | − | 44.8116i | 0.301482 | − | 1.48143i | ||||
\(916\) | 1.78817 | + | 23.8615i | 0.0590829 | + | 0.788407i | ||||
\(917\) | 55.4963 | − | 11.6881i | 1.83265 | − | 0.385976i | ||||
\(918\) | −0.329466 | + | 1.05350i | −0.0108740 | + | 0.0347707i | ||||
\(919\) | −53.2052 | + | 8.01939i | −1.75508 | + | 0.264535i | −0.946232 | − | 0.323488i | \(-0.895144\pi\) |
−0.808844 | + | 0.588023i | \(0.799906\pi\) | |||||||
\(920\) | 0.174521 | − | 2.32882i | 0.00575377 | − | 0.0767788i | ||||
\(921\) | −2.58605 | − | 2.28819i | −0.0852131 | − | 0.0753983i | ||||
\(922\) | −0.0689522 | − | 0.920104i | −0.00227082 | − | 0.0303020i | ||||
\(923\) | 35.5537 | + | 32.9890i | 1.17026 | + | 1.08585i | ||||
\(924\) | 11.8236 | − | 9.56150i | 0.388969 | − | 0.314550i | ||||
\(925\) | 17.5764 | − | 16.3085i | 0.577909 | − | 0.536221i | ||||
\(926\) | −0.140132 | − | 0.130023i | −0.00460501 | − | 0.00427282i | ||||
\(927\) | 5.66752 | − | 10.9845i | 0.186146 | − | 0.360777i | ||||
\(928\) | −3.69686 | + | 1.14033i | −0.121355 | + | 0.0374332i | ||||
\(929\) | −38.8603 | + | 18.7141i | −1.27497 | + | 0.613991i | −0.944091 | − | 0.329684i | \(-0.893058\pi\) |
−0.330874 | + | 0.943675i | \(0.607344\pi\) | |||||||
\(930\) | −0.558697 | − | 0.252968i | −0.0183204 | − | 0.00829515i | ||||
\(931\) | −2.61975 | − | 0.0881725i | −0.0858587 | − | 0.00288974i | ||||
\(932\) | −25.9969 | + | 45.0279i | −0.851555 | + | 1.47494i | ||||
\(933\) | −5.99017 | + | 10.9658i | −0.196109 | + | 0.359005i | ||||
\(934\) | −0.386237 | − | 0.358376i | −0.0126381 | − | 0.0117264i | ||||
\(935\) | 18.9055 | + | 2.84955i | 0.618276 | + | 0.0931901i | ||||
\(936\) | 3.83842 | − | 2.07737i | 0.125463 | − | 0.0679009i | ||||
\(937\) | 9.70281 | + | 42.5108i | 0.316977 | + | 1.38877i | 0.842825 | + | 0.538188i | \(0.180891\pi\) |
−0.525847 | + | 0.850579i | \(0.676252\pi\) | |||||||
\(938\) | 0.190135 | + | 0.0174694i | 0.00620811 | + | 0.000570396i | ||||
\(939\) | −16.2330 | − | 38.6494i | −0.529743 | − | 1.26128i | ||||
\(940\) | −5.43752 | − | 72.5587i | −0.177352 | − | 2.36660i | ||||
\(941\) | −11.7954 | − | 51.6790i | −0.384519 | − | 1.68469i | −0.683117 | − | 0.730309i | \(-0.739376\pi\) |
0.298598 | − | 0.954379i | \(-0.403481\pi\) | |||||||
\(942\) | 0.380608 | − | 0.696755i | 0.0124009 | − | 0.0227015i | ||||
\(943\) | −19.0881 | − | 23.9358i | −0.621595 | − | 0.779455i | ||||
\(944\) | −12.3004 | + | 5.92354i | −0.400343 | + | 0.192795i | ||||
\(945\) | 33.4667 | + | 23.8477i | 1.08867 | + | 0.775767i | ||||
\(946\) | 0.804769 | + | 0.387556i | 0.0261653 | + | 0.0126005i | ||||
\(947\) | 11.6090 | + | 50.8622i | 0.377240 | + | 1.65280i | 0.705872 | + | 0.708340i | \(0.250556\pi\) |
−0.328631 | + | 0.944458i | \(0.606587\pi\) | |||||||
\(948\) | 3.13080 | + | 0.885265i | 0.101684 | + | 0.0287521i | ||||
\(949\) | 78.7172 | 2.55527 | ||||||||
\(950\) | −0.0406598 | − | 0.0704249i | −0.00131918 | − | 0.00228488i | ||||
\(951\) | 27.2967 | + | 7.71841i | 0.885156 | + | 0.250286i | ||||
\(952\) | 0.940506 | + | 2.04007i | 0.0304820 | + | 0.0661191i | ||||
\(953\) | 26.4454 | − | 33.1615i | 0.856651 | − | 1.07421i | −0.139812 | − | 0.990178i | \(-0.544650\pi\) |
0.996463 | − | 0.0840287i | \(-0.0267788\pi\) | |||||||
\(954\) | −0.844830 | + | 1.63740i | −0.0273524 | + | 0.0530129i | ||||
\(955\) | −2.63994 | − | 35.2275i | −0.0854264 | − | 1.13994i | ||||
\(956\) | 25.0616 | − | 17.0867i | 0.810550 | − | 0.552623i | ||||
\(957\) | 0.861647 | − | 16.8253i | 0.0278531 | − | 0.543886i | ||||
\(958\) | −0.0761357 | − | 0.193991i | −0.00245983 | − | 0.00626755i | ||||
\(959\) | 11.0972 | + | 12.3709i | 0.358347 | + | 0.399478i | ||||
\(960\) | −10.0755 | − | 39.7851i | −0.325185 | − | 1.28406i | ||||
\(961\) | −26.3926 | −0.851374 | ||||||||
\(962\) | 1.10891 | + | 1.92068i | 0.0357526 | + | 0.0619253i | ||||
\(963\) | 5.30026 | − | 29.6089i | 0.170798 | − | 0.954133i | ||||
\(964\) | 46.3886 | + | 14.3090i | 1.49408 | + | 0.460862i | ||||
\(965\) | −1.63965 | − | 21.8796i | −0.0527823 | − | 0.704331i | ||||
\(966\) | 0.139533 | + | 0.884806i | 0.00448940 | + | 0.0284682i | ||||
\(967\) | 1.87386 | − | 25.0049i | 0.0602592 | − | 0.804104i | −0.882433 | − | 0.470439i | \(-0.844096\pi\) |
0.942692 | − | 0.333665i | \(-0.108285\pi\) | |||||||
\(968\) | 0.663948 | − | 1.69171i | 0.0213401 | − | 0.0543737i | ||||
\(969\) | 1.19686 | − | 2.19102i | 0.0384486 | − | 0.0703855i | ||||
\(970\) | −1.53137 | − | 0.472365i | −0.0491694 | − | 0.0151667i | ||||
\(971\) | 9.99830 | − | 6.81673i | 0.320861 | − | 0.218759i | −0.392169 | − | 0.919893i | \(-0.628275\pi\) |
0.713029 | + | 0.701134i | \(0.247323\pi\) | |||||||
\(972\) | −7.87733 | + | 30.1163i | −0.252666 | + | 0.965980i | ||||
\(973\) | 1.73933 | + | 5.99501i | 0.0557604 | + | 0.192191i | ||||
\(974\) | −1.04660 | + | 0.971107i | −0.0335354 | + | 0.0311163i | ||||
\(975\) | 27.1899 | − | 35.7989i | 0.870774 | − | 1.14648i | ||||
\(976\) | 21.9278 | − | 27.4965i | 0.701890 | − | 0.880143i | ||||
\(977\) | −11.7620 | + | 51.5325i | −0.376298 | + | 1.64867i | 0.332385 | + | 0.943144i | \(0.392147\pi\) |
−0.708683 | + | 0.705527i | \(0.750710\pi\) | |||||||
\(978\) | −0.116643 | − | 0.191437i | −0.00372983 | − | 0.00612147i | ||||
\(979\) | −4.01040 | − | 6.94621i | −0.128173 | − | 0.222002i | ||||
\(980\) | 41.5040 | − | 4.83430i | 1.32580 | − | 0.154426i | ||||
\(981\) | −35.6820 | + | 7.11675i | −1.13924 | + | 0.227220i | ||||
\(982\) | 0.0178523 | − | 0.238222i | 0.000569688 | − | 0.00760196i | ||||
\(983\) | −18.0307 | − | 16.7301i | −0.575090 | − | 0.533606i | 0.338115 | − | 0.941105i | \(-0.390211\pi\) |
−0.913206 | + | 0.407499i | \(0.866401\pi\) | |||||||
\(984\) | 2.77169 | + | 1.79526i | 0.0883584 | + | 0.0572308i | ||||
\(985\) | −17.8117 | + | 5.49419i | −0.567529 | + | 0.175060i | ||||
\(986\) | 1.18827 | + | 0.366533i | 0.0378423 | + | 0.0116728i | ||||
\(987\) | 16.8281 | + | 53.2645i | 0.535644 | + | 1.69543i | ||||
\(988\) | −4.71292 | + | 1.45374i | −0.149938 | + | 0.0462498i | ||||
\(989\) | 28.5061 | − | 19.4351i | 0.906441 | − | 0.618001i | ||||
\(990\) | −0.818015 | − | 0.0840034i | −0.0259982 | − | 0.00266980i | ||||
\(991\) | −21.9926 | − | 14.9943i | −0.698618 | − | 0.476310i | 0.161193 | − | 0.986923i | \(-0.448466\pi\) |
−0.859810 | + | 0.510613i | \(0.829418\pi\) | |||||||
\(992\) | −0.884484 | − | 1.10911i | −0.0280824 | − | 0.0352142i | ||||
\(993\) | 7.97355 | − | 14.5967i | 0.253033 | − | 0.463212i | ||||
\(994\) | 0.743434 | − | 0.774678i | 0.0235803 | − | 0.0245713i | ||||
\(995\) | −31.6123 | + | 21.5529i | −1.00218 | + | 0.683274i | ||||
\(996\) | 3.39396 | − | 16.6773i | 0.107542 | − | 0.528440i | ||||
\(997\) | −29.3754 | + | 4.42762i | −0.930327 | + | 0.140224i | −0.596685 | − | 0.802476i | \(-0.703516\pi\) |
−0.333642 | + | 0.942700i | \(0.608278\pi\) | |||||||
\(998\) | 0.612987 | + | 1.06172i | 0.0194038 | + | 0.0336083i | ||||
\(999\) | −30.8393 | − | 7.16552i | −0.975712 | − | 0.226707i |
(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 | 441.2.y.a.121.26 | ✓ | 648 | |
9.7 | even | 3 | 441.2.z.a.268.29 | yes | 648 | ||
49.32 | even | 21 | 441.2.z.a.130.29 | yes | 648 | ||
441.277 | even | 21 | inner | 441.2.y.a.277.26 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.121.26 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.y.a.277.26 | yes | 648 | 441.277 | even | 21 | inner | |
441.2.z.a.130.29 | yes | 648 | 49.32 | even | 21 | ||
441.2.z.a.268.29 | yes | 648 | 9.7 | even | 3 |