Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 354.19 |
Dual form | 354.2.e.b.205.2 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{19}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.468408 | + | 0.883512i | −0.331215 | + | 0.624737i | ||||
\(3\) | 0.725995 | − | 0.687699i | 0.419154 | − | 0.397043i | ||||
\(4\) | −0.561187 | − | 0.827689i | −0.280594 | − | 0.413844i | ||||
\(5\) | 3.92252 | − | 0.863413i | 1.75421 | − | 0.386130i | 0.782561 | − | 0.622574i | \(-0.213913\pi\) |
0.971645 | + | 0.236444i | \(0.0759818\pi\) | |||||||
\(6\) | 0.267528 | + | 0.963550i | 0.109218 | + | 0.393368i | ||||
\(7\) | −0.604650 | + | 0.459643i | −0.228536 | + | 0.173729i | −0.713176 | − | 0.700985i | \(-0.752744\pi\) |
0.484640 | + | 0.874714i | \(0.338951\pi\) | |||||||
\(8\) | 0.994138 | − | 0.108119i | 0.351481 | − | 0.0382258i | ||||
\(9\) | 0.0541389 | − | 0.998533i | 0.0180463 | − | 0.332844i | ||||
\(10\) | −1.07451 | + | 3.87003i | −0.339789 | + | 1.22381i | ||||
\(11\) | −0.299077 | − | 0.750627i | −0.0901752 | − | 0.226323i | 0.876971 | − | 0.480543i | \(-0.159560\pi\) |
−0.967146 | + | 0.254220i | \(0.918181\pi\) | |||||||
\(12\) | −0.976621 | − | 0.214970i | −0.281926 | − | 0.0620566i | ||||
\(13\) | 0.00237843 | + | 0.0438676i | 0.000659659 | + | 0.0121667i | 0.998845 | − | 0.0480546i | \(-0.0153021\pi\) |
−0.998185 | + | 0.0602213i | \(0.980819\pi\) | |||||||
\(14\) | −0.122877 | − | 0.749516i | −0.0328402 | − | 0.200316i | ||||
\(15\) | 2.25397 | − | 3.32435i | 0.581972 | − | 0.858344i | ||||
\(16\) | −0.370138 | + | 0.928977i | −0.0925345 | + | 0.232244i | ||||
\(17\) | −3.64238 | − | 2.76887i | −0.883408 | − | 0.671549i | 0.0617752 | − | 0.998090i | \(-0.480324\pi\) |
−0.945183 | + | 0.326541i | \(0.894117\pi\) | |||||||
\(18\) | 0.856857 | + | 0.515554i | 0.201963 | + | 0.121517i | ||||
\(19\) | 5.62069 | − | 1.89383i | 1.28947 | − | 0.434474i | 0.410725 | − | 0.911759i | \(-0.365276\pi\) |
0.878749 | + | 0.477285i | \(0.158379\pi\) | |||||||
\(20\) | −2.91591 | − | 2.76209i | −0.652017 | − | 0.617623i | ||||
\(21\) | −0.122877 | + | 0.749516i | −0.0268139 | + | 0.163558i | ||||
\(22\) | 0.803279 | + | 0.0873618i | 0.171260 | + | 0.0186256i | ||||
\(23\) | −6.09993 | + | 3.67021i | −1.27192 | + | 0.765291i | −0.981473 | − | 0.191599i | \(-0.938633\pi\) |
−0.290450 | + | 0.956890i | \(0.593805\pi\) | |||||||
\(24\) | 0.647386 | − | 0.762162i | 0.132147 | − | 0.155576i | ||||
\(25\) | 10.1028 | − | 4.67407i | 2.02057 | − | 0.934815i | ||||
\(26\) | −0.0398717 | − | 0.0184466i | −0.00781948 | − | 0.00361768i | ||||
\(27\) | −0.647386 | − | 0.762162i | −0.124590 | − | 0.146678i | ||||
\(28\) | 0.719763 | + | 0.242516i | 0.136022 | + | 0.0458313i | ||||
\(29\) | 3.97100 | + | 7.49010i | 0.737396 | + | 1.39088i | 0.913638 | + | 0.406529i | \(0.133261\pi\) |
−0.176242 | + | 0.984347i | \(0.556394\pi\) | |||||||
\(30\) | 1.88133 | + | 3.54856i | 0.343482 | + | 0.647876i | ||||
\(31\) | −3.23255 | − | 1.08917i | −0.580584 | − | 0.195621i | 0.0136596 | − | 0.999907i | \(-0.495652\pi\) |
−0.594243 | + | 0.804285i | \(0.702548\pi\) | |||||||
\(32\) | −0.647386 | − | 0.762162i | −0.114443 | − | 0.134732i | ||||
\(33\) | −0.733335 | − | 0.339277i | −0.127657 | − | 0.0590605i | ||||
\(34\) | 4.15245 | − | 1.92113i | 0.712140 | − | 0.329471i | ||||
\(35\) | −1.97489 | + | 2.32502i | −0.333818 | + | 0.393000i | ||||
\(36\) | −0.856857 | + | 0.515554i | −0.142810 | + | 0.0859256i | ||||
\(37\) | 6.37265 | + | 0.693068i | 1.04766 | + | 0.113940i | 0.615721 | − | 0.787964i | \(-0.288865\pi\) |
0.431937 | + | 0.901904i | \(0.357830\pi\) | |||||||
\(38\) | −0.959556 | + | 5.85303i | −0.155660 | + | 0.949487i | ||||
\(39\) | 0.0318945 | + | 0.0302121i | 0.00510720 | + | 0.00483780i | ||||
\(40\) | 3.80618 | − | 1.28245i | 0.601810 | − | 0.202773i | ||||
\(41\) | 3.43549 | + | 2.06706i | 0.536533 | + | 0.322821i | 0.757901 | − | 0.652369i | \(-0.226225\pi\) |
−0.221369 | + | 0.975190i | \(0.571052\pi\) | |||||||
\(42\) | −0.604650 | − | 0.459643i | −0.0932994 | − | 0.0709244i | ||||
\(43\) | −1.90101 | + | 4.77116i | −0.289901 | + | 0.727596i | 0.709830 | + | 0.704373i | \(0.248772\pi\) |
−0.999730 | + | 0.0232224i | \(0.992607\pi\) | |||||||
\(44\) | −0.453448 | + | 0.668785i | −0.0683598 | + | 0.100823i | ||||
\(45\) | −0.649786 | − | 3.96352i | −0.0968643 | − | 0.590846i | ||||
\(46\) | −0.385413 | − | 7.10852i | −0.0568260 | − | 1.04809i | ||||
\(47\) | −4.68291 | − | 1.03079i | −0.683073 | − | 0.150356i | −0.140140 | − | 0.990132i | \(-0.544755\pi\) |
−0.542933 | + | 0.839776i | \(0.682686\pi\) | |||||||
\(48\) | 0.370138 | + | 0.928977i | 0.0534248 | + | 0.134086i | ||||
\(49\) | −1.71837 | + | 6.18900i | −0.245481 | + | 0.884144i | ||||
\(50\) | −0.602657 | + | 11.1154i | −0.0852286 | + | 1.57195i | ||||
\(51\) | −4.54850 | + | 0.494680i | −0.636918 | + | 0.0692690i | ||||
\(52\) | 0.0349740 | − | 0.0265866i | 0.00485002 | − | 0.00368689i | ||||
\(53\) | −2.33867 | − | 8.42313i | −0.321241 | − | 1.15701i | −0.931181 | − | 0.364558i | \(-0.881220\pi\) |
0.609940 | − | 0.792448i | \(-0.291194\pi\) | |||||||
\(54\) | 0.976621 | − | 0.214970i | 0.132901 | − | 0.0292538i | ||||
\(55\) | −1.82124 | − | 2.68613i | −0.245576 | − | 0.362197i | ||||
\(56\) | −0.551409 | + | 0.522322i | −0.0736851 | + | 0.0697982i | ||||
\(57\) | 2.77821 | − | 5.24026i | 0.367983 | − | 0.694089i | ||||
\(58\) | −8.47764 | −1.11317 | ||||||||
\(59\) | −4.69358 | + | 6.08032i | −0.611051 | + | 0.791591i | ||||
\(60\) | −4.01643 | −0.518518 | ||||||||
\(61\) | −1.52570 | + | 2.87777i | −0.195346 | + | 0.368461i | −0.961764 | − | 0.273881i | \(-0.911692\pi\) |
0.766418 | + | 0.642343i | \(0.222037\pi\) | |||||||
\(62\) | 2.47645 | − | 2.34582i | 0.314510 | − | 0.297920i | ||||
\(63\) | 0.426233 | + | 0.628647i | 0.0537004 | + | 0.0792021i | ||||
\(64\) | 0.976621 | − | 0.214970i | 0.122078 | − | 0.0268713i | ||||
\(65\) | 0.0472054 | + | 0.170018i | 0.00585510 | + | 0.0210882i | ||||
\(66\) | 0.643255 | − | 0.488990i | 0.0791792 | − | 0.0601905i | ||||
\(67\) | 7.12530 | − | 0.774923i | 0.870494 | − | 0.0946720i | 0.338041 | − | 0.941131i | \(-0.390236\pi\) |
0.532453 | + | 0.846459i | \(0.321270\pi\) | |||||||
\(68\) | −0.247703 | + | 4.56861i | −0.0300384 | + | 0.554026i | ||||
\(69\) | −1.90452 | + | 6.85947i | −0.229278 | + | 0.825783i | ||||
\(70\) | −1.12913 | − | 2.83390i | −0.134957 | − | 0.338716i | ||||
\(71\) | −15.3701 | − | 3.38321i | −1.82409 | − | 0.401513i | −0.835174 | − | 0.549986i | \(-0.814633\pi\) |
−0.988916 | + | 0.148473i | \(0.952564\pi\) | |||||||
\(72\) | −0.0541389 | − | 0.998533i | −0.00638033 | − | 0.117678i | ||||
\(73\) | −0.871827 | − | 5.31791i | −0.102040 | − | 0.622414i | −0.987490 | − | 0.157681i | \(-0.949598\pi\) |
0.885450 | − | 0.464734i | \(-0.153850\pi\) | |||||||
\(74\) | −3.59734 | + | 5.30568i | −0.418182 | + | 0.616773i | ||||
\(75\) | 4.12026 | − | 10.3411i | 0.475767 | − | 1.19408i | ||||
\(76\) | −4.72176 | − | 3.58939i | −0.541623 | − | 0.411731i | ||||
\(77\) | 0.525857 | + | 0.316398i | 0.0599270 | + | 0.0360569i | ||||
\(78\) | −0.0416324 | + | 0.0140276i | −0.00471394 | + | 0.00158831i | ||||
\(79\) | −0.0990001 | − | 0.0937778i | −0.0111384 | − | 0.0105508i | 0.682110 | − | 0.731250i | \(-0.261063\pi\) |
−0.693248 | + | 0.720699i | \(0.743821\pi\) | |||||||
\(80\) | −0.649786 | + | 3.96352i | −0.0726482 | + | 0.443135i | ||||
\(81\) | −0.994138 | − | 0.108119i | −0.110460 | − | 0.0120132i | ||||
\(82\) | −3.43549 | + | 2.06706i | −0.379386 | + | 0.228269i | ||||
\(83\) | −2.39648 | + | 2.82135i | −0.263048 | + | 0.309684i | −0.877791 | − | 0.479043i | \(-0.840984\pi\) |
0.614743 | + | 0.788727i | \(0.289260\pi\) | |||||||
\(84\) | 0.689323 | − | 0.318915i | 0.0752113 | − | 0.0347964i | ||||
\(85\) | −16.6780 | − | 7.71607i | −1.80899 | − | 0.836926i | ||||
\(86\) | −3.32493 | − | 3.91442i | −0.358537 | − | 0.422102i | ||||
\(87\) | 8.03386 | + | 2.70692i | 0.861320 | + | 0.290213i | ||||
\(88\) | −0.378481 | − | 0.713891i | −0.0403462 | − | 0.0761010i | ||||
\(89\) | −6.37807 | − | 12.0303i | −0.676074 | − | 1.27521i | −0.949635 | − | 0.313357i | \(-0.898546\pi\) |
0.273561 | − | 0.961855i | \(-0.411798\pi\) | |||||||
\(90\) | 3.80618 | + | 1.28245i | 0.401207 | + | 0.135182i | ||||
\(91\) | −0.0216016 | − | 0.0254313i | −0.00226446 | − | 0.00266593i | ||||
\(92\) | 6.46099 | + | 2.98917i | 0.673605 | + | 0.311643i | ||||
\(93\) | −3.09584 | + | 1.43229i | −0.321024 | + | 0.148522i | ||||
\(94\) | 3.10423 | − | 3.65458i | 0.320177 | − | 0.376941i | ||||
\(95\) | 20.4121 | − | 12.2816i | 2.09424 | − | 1.26006i | ||||
\(96\) | −0.994138 | − | 0.108119i | −0.101464 | − | 0.0110349i | ||||
\(97\) | −0.451929 | + | 2.75664i | −0.0458864 | + | 0.279895i | −0.999796 | − | 0.0201995i | \(-0.993570\pi\) |
0.953910 | + | 0.300094i | \(0.0970181\pi\) | |||||||
\(98\) | −4.66316 | − | 4.41718i | −0.471050 | − | 0.446203i | ||||
\(99\) | −0.765718 | + | 0.258000i | −0.0769576 | + | 0.0259300i | ||||
\(100\) | −9.53826 | − | 5.73898i | −0.953826 | − | 0.573898i | ||||
\(101\) | 2.97909 | + | 2.26464i | 0.296430 | + | 0.225340i | 0.742808 | − | 0.669504i | \(-0.233493\pi\) |
−0.446378 | + | 0.894844i | \(0.647286\pi\) | |||||||
\(102\) | 1.69350 | − | 4.25037i | 0.167682 | − | 0.420849i | ||||
\(103\) | −4.74894 | + | 7.00416i | −0.467927 | + | 0.690141i | −0.986290 | − | 0.165020i | \(-0.947231\pi\) |
0.518363 | + | 0.855161i | \(0.326542\pi\) | |||||||
\(104\) | 0.00710742 | + | 0.0433533i | 0.000696940 | + | 0.00425114i | ||||
\(105\) | 0.165154 | + | 3.04609i | 0.0161174 | + | 0.297268i | ||||
\(106\) | 8.53739 | + | 1.87922i | 0.829224 | + | 0.182526i | ||||
\(107\) | 0.0559480 | + | 0.140419i | 0.00540870 | + | 0.0135748i | 0.931656 | − | 0.363341i | \(-0.118364\pi\) |
−0.926248 | + | 0.376916i | \(0.876985\pi\) | |||||||
\(108\) | −0.267528 | + | 0.963550i | −0.0257429 | + | 0.0927176i | ||||
\(109\) | −0.271468 | + | 5.00693i | −0.0260019 | + | 0.479577i | 0.956314 | + | 0.292343i | \(0.0944349\pi\) |
−0.982315 | + | 0.187234i | \(0.940048\pi\) | |||||||
\(110\) | 3.22631 | − | 0.350882i | 0.307617 | − | 0.0334553i | ||||
\(111\) | 5.10314 | − | 3.87931i | 0.484369 | − | 0.368207i | ||||
\(112\) | −0.203193 | − | 0.731837i | −0.0192000 | − | 0.0691521i | ||||
\(113\) | −14.0174 | + | 3.08546i | −1.31864 | + | 0.290255i | −0.817910 | − | 0.575346i | \(-0.804867\pi\) |
−0.500733 | + | 0.865602i | \(0.666936\pi\) | |||||||
\(114\) | 3.32849 | + | 4.90916i | 0.311742 | + | 0.459785i | ||||
\(115\) | −20.7582 | + | 19.6632i | −1.93571 | + | 1.83361i | ||||
\(116\) | 3.97100 | − | 7.49010i | 0.368698 | − | 0.695438i | ||||
\(117\) | 0.0439321 | 0.00406152 | ||||||||
\(118\) | −3.17353 | − | 6.99491i | −0.292147 | − | 0.643933i | ||||
\(119\) | 3.47506 | 0.318558 | ||||||||
\(120\) | 1.88133 | − | 3.54856i | 0.171741 | − | 0.323938i | ||||
\(121\) | 7.51196 | − | 7.11570i | 0.682905 | − | 0.646882i | ||||
\(122\) | −1.82790 | − | 2.69595i | −0.165490 | − | 0.244080i | ||||
\(123\) | 3.91567 | − | 0.861903i | 0.353064 | − | 0.0777152i | ||||
\(124\) | 0.912570 | + | 3.28678i | 0.0819512 | + | 0.295162i | ||||
\(125\) | 19.6058 | − | 14.9039i | 1.75359 | − | 1.33305i | ||||
\(126\) | −0.755069 | + | 0.0821187i | −0.0672669 | + | 0.00731571i | ||||
\(127\) | −0.00399882 | + | 0.0737540i | −0.000354838 | + | 0.00654460i | −0.998705 | − | 0.0508663i | \(-0.983802\pi\) |
0.998351 | + | 0.0574109i | \(0.0182845\pi\) | |||||||
\(128\) | −0.267528 | + | 0.963550i | −0.0236464 | + | 0.0851666i | ||||
\(129\) | 1.90101 | + | 4.77116i | 0.167374 | + | 0.420078i | ||||
\(130\) | −0.172325 | − | 0.0379315i | −0.0151139 | − | 0.00332681i | ||||
\(131\) | 0.815750 | + | 15.0456i | 0.0712724 | + | 1.31454i | 0.787344 | + | 0.616514i | \(0.211456\pi\) |
−0.716071 | + | 0.698027i | \(0.754061\pi\) | |||||||
\(132\) | 0.130722 | + | 0.797371i | 0.0113779 | + | 0.0694022i | ||||
\(133\) | −2.52806 | + | 3.72861i | −0.219211 | + | 0.323312i | ||||
\(134\) | −2.65290 | + | 6.65827i | −0.229175 | + | 0.575187i | ||||
\(135\) | −3.19745 | − | 2.43064i | −0.275193 | − | 0.209196i | ||||
\(136\) | −3.92040 | − | 2.35883i | −0.336171 | − | 0.202268i | ||||
\(137\) | −11.9370 | + | 4.02206i | −1.01985 | + | 0.343628i | −0.779060 | − | 0.626950i | \(-0.784303\pi\) |
−0.240790 | + | 0.970577i | \(0.577407\pi\) | |||||||
\(138\) | −5.16833 | − | 4.89570i | −0.439958 | − | 0.416750i | ||||
\(139\) | −2.01626 | + | 12.2987i | −0.171017 | + | 1.04316i | 0.752215 | + | 0.658917i | \(0.228985\pi\) |
−0.923233 | + | 0.384242i | \(0.874463\pi\) | |||||||
\(140\) | 3.03268 | + | 0.329824i | 0.256308 | + | 0.0278752i | ||||
\(141\) | −4.10864 | + | 2.47209i | −0.346010 | + | 0.208187i | ||||
\(142\) | 10.1886 | − | 11.9949i | 0.855006 | − | 1.00659i | ||||
\(143\) | 0.0322169 | − | 0.0149051i | 0.00269411 | − | 0.00124643i | ||||
\(144\) | 0.907575 | + | 0.419889i | 0.0756313 | + | 0.0349908i | ||||
\(145\) | 22.0434 | + | 25.9515i | 1.83060 | + | 2.15515i | ||||
\(146\) | 5.10681 | + | 1.72068i | 0.422643 | + | 0.142405i | ||||
\(147\) | 3.00865 | + | 5.67491i | 0.248149 | + | 0.468059i | ||||
\(148\) | −3.00261 | − | 5.66352i | −0.246813 | − | 0.465538i | ||||
\(149\) | 7.09844 | + | 2.39174i | 0.581527 | + | 0.195939i | 0.594664 | − | 0.803975i | \(-0.297285\pi\) |
−0.0131371 | + | 0.999914i | \(0.504182\pi\) | |||||||
\(150\) | 7.20650 | + | 8.48415i | 0.588408 | + | 0.692728i | ||||
\(151\) | −11.1644 | − | 5.16520i | −0.908545 | − | 0.420338i | −0.0907675 | − | 0.995872i | \(-0.528932\pi\) |
−0.817778 | + | 0.575534i | \(0.804794\pi\) | |||||||
\(152\) | 5.38298 | − | 2.49043i | 0.436617 | − | 0.202001i | ||||
\(153\) | −2.96200 | + | 3.48714i | −0.239464 | + | 0.281918i | ||||
\(154\) | −0.525857 | + | 0.316398i | −0.0423748 | + | 0.0254961i | ||||
\(155\) | −13.6202 | − | 1.48128i | −1.09400 | − | 0.118980i | ||||
\(156\) | 0.00710742 | − | 0.0433533i | 0.000569049 | − | 0.00347104i | ||||
\(157\) | −14.3035 | − | 13.5490i | −1.14154 | − | 1.08132i | −0.995758 | − | 0.0920082i | \(-0.970671\pi\) |
−0.145782 | − | 0.989317i | \(-0.546570\pi\) | |||||||
\(158\) | 0.129226 | − | 0.0435414i | 0.0102807 | − | 0.00346397i | ||||
\(159\) | −7.49044 | − | 4.50685i | −0.594031 | − | 0.357417i | ||||
\(160\) | −3.19745 | − | 2.43064i | −0.252781 | − | 0.192159i | ||||
\(161\) | 2.00134 | − | 5.02298i | 0.157727 | − | 0.395866i | ||||
\(162\) | 0.561187 | − | 0.827689i | 0.0440910 | − | 0.0650294i | ||||
\(163\) | −1.98082 | − | 12.0825i | −0.155150 | − | 0.946371i | −0.943555 | − | 0.331215i | \(-0.892541\pi\) |
0.788405 | − | 0.615156i | \(-0.210907\pi\) | |||||||
\(164\) | −0.217065 | − | 4.00352i | −0.0169499 | − | 0.312623i | ||||
\(165\) | −3.16946 | − | 0.697651i | −0.246742 | − | 0.0543120i | ||||
\(166\) | −1.37017 | − | 3.43887i | −0.106346 | − | 0.266908i | ||||
\(167\) | −1.59374 | + | 5.74015i | −0.123328 | + | 0.444186i | −0.999269 | − | 0.0382317i | \(-0.987828\pi\) |
0.875941 | + | 0.482418i | \(0.160241\pi\) | |||||||
\(168\) | −0.0411196 | + | 0.758407i | −0.00317245 | + | 0.0585124i | ||||
\(169\) | 12.9219 | − | 1.40534i | 0.993990 | − | 0.108103i | ||||
\(170\) | 14.6294 | − | 11.1210i | 1.12202 | − | 0.852938i | ||||
\(171\) | −1.58675 | − | 5.71497i | −0.121342 | − | 0.437035i | ||||
\(172\) | 5.01586 | − | 1.10407i | 0.382456 | − | 0.0841849i | ||||
\(173\) | 10.0434 | + | 14.8129i | 0.763584 | + | 1.12620i | 0.988411 | + | 0.151804i | \(0.0485081\pi\) |
−0.224826 | + | 0.974399i | \(0.572182\pi\) | |||||||
\(174\) | −6.15473 | + | 5.83007i | −0.466589 | + | 0.441976i | ||||
\(175\) | −3.96028 | + | 7.46987i | −0.299369 | + | 0.564669i | ||||
\(176\) | 0.808015 | 0.0609064 | ||||||||
\(177\) | 0.773921 | + | 7.64206i | 0.0581715 | + | 0.574412i | ||||
\(178\) | 13.6165 | 1.02060 | ||||||||
\(179\) | 9.97224 | − | 18.8096i | 0.745360 | − | 1.40590i | −0.162536 | − | 0.986703i | \(-0.551967\pi\) |
0.907896 | − | 0.419195i | \(-0.137688\pi\) | |||||||
\(180\) | −2.91591 | + | 2.76209i | −0.217339 | + | 0.205874i | ||||
\(181\) | 9.88792 | + | 14.5836i | 0.734963 | + | 1.08399i | 0.993030 | + | 0.117863i | \(0.0376042\pi\) |
−0.258067 | + | 0.966127i | \(0.583085\pi\) | |||||||
\(182\) | 0.0325872 | − | 0.00717299i | 0.00241553 | − | 0.000531697i | ||||
\(183\) | 0.871393 | + | 3.13847i | 0.0644152 | + | 0.232003i | ||||
\(184\) | −5.66735 | + | 4.30821i | −0.417803 | + | 0.317605i | ||||
\(185\) | 25.5953 | − | 2.78366i | 1.88180 | − | 0.204659i | ||||
\(186\) | 0.184674 | − | 3.40611i | 0.0135410 | − | 0.249748i | ||||
\(187\) | −0.989034 | + | 3.56218i | −0.0723253 | + | 0.260492i | ||||
\(188\) | 1.77482 | + | 4.45446i | 0.129442 | + | 0.324875i | ||||
\(189\) | 0.741764 | + | 0.163275i | 0.0539554 | + | 0.0118765i | ||||
\(190\) | 1.28970 | + | 23.7872i | 0.0935648 | + | 1.72570i | ||||
\(191\) | 0.723664 | + | 4.41416i | 0.0523625 | + | 0.319397i | 1.00000 | 4.90507e-5i | \(1.56133e-5\pi\) | |
−0.947638 | + | 0.319348i | \(0.896536\pi\) | |||||||
\(192\) | 0.561187 | − | 0.827689i | 0.0405002 | − | 0.0597333i | ||||
\(193\) | 8.90683 | − | 22.3545i | 0.641128 | − | 1.60911i | −0.143860 | − | 0.989598i | \(-0.545951\pi\) |
0.784988 | − | 0.619511i | \(-0.212669\pi\) | |||||||
\(194\) | −2.22384 | − | 1.69052i | −0.159662 | − | 0.121372i | ||||
\(195\) | 0.151192 | + | 0.0909694i | 0.0108271 | + | 0.00651446i | ||||
\(196\) | 6.08690 | − | 2.05091i | 0.434778 | − | 0.146494i | ||||
\(197\) | 14.5982 | + | 13.8281i | 1.04008 | + | 0.985212i | 0.999902 | − | 0.0139809i | \(-0.00445039\pi\) |
0.0401733 | + | 0.999193i | \(0.487209\pi\) | |||||||
\(198\) | 0.130722 | − | 0.797371i | 0.00929003 | − | 0.0566667i | ||||
\(199\) | 13.3196 | + | 1.44859i | 0.944200 | + | 0.102688i | 0.567250 | − | 0.823546i | \(-0.308007\pi\) |
0.376950 | + | 0.926234i | \(0.376973\pi\) | |||||||
\(200\) | 9.53826 | − | 5.73898i | 0.674457 | − | 0.405807i | ||||
\(201\) | 4.64002 | − | 5.46266i | 0.327282 | − | 0.385306i | ||||
\(202\) | −3.39627 | + | 1.57128i | −0.238960 | + | 0.110555i | ||||
\(203\) | −5.84383 | − | 2.70364i | −0.410156 | − | 0.189759i | ||||
\(204\) | 2.96200 | + | 3.48714i | 0.207382 | + | 0.244149i | ||||
\(205\) | 15.2605 | + | 5.14187i | 1.06584 | + | 0.359123i | ||||
\(206\) | −3.96382 | − | 7.47656i | −0.276172 | − | 0.520916i | ||||
\(207\) | 3.33458 | + | 6.28968i | 0.231769 | + | 0.437163i | ||||
\(208\) | −0.0416324 | − | 0.0140276i | −0.00288669 | − | 0.000972637i | ||||
\(209\) | −3.10258 | − | 3.65264i | −0.214610 | − | 0.252658i | ||||
\(210\) | −2.76861 | − | 1.28090i | −0.191053 | − | 0.0883903i | ||||
\(211\) | 22.3294 | − | 10.3307i | 1.53722 | − | 0.711195i | 0.545324 | − | 0.838225i | \(-0.316407\pi\) |
0.991899 | + | 0.127031i | \(0.0405446\pi\) | |||||||
\(212\) | −5.65930 | + | 6.66264i | −0.388682 | + | 0.457592i | ||||
\(213\) | −13.4852 | + | 8.11379i | −0.923992 | + | 0.555948i | ||||
\(214\) | −0.150268 | − | 0.0163427i | −0.0102721 | − | 0.00111716i | ||||
\(215\) | −3.33726 | + | 20.3564i | −0.227599 | + | 1.38829i | ||||
\(216\) | −0.725995 | − | 0.687699i | −0.0493977 | − | 0.0467920i | ||||
\(217\) | 2.45519 | − | 0.827251i | 0.166669 | − | 0.0561574i | ||||
\(218\) | −4.29652 | − | 2.58513i | −0.290997 | − | 0.175087i | ||||
\(219\) | −4.29007 | − | 3.26122i | −0.289896 | − | 0.220373i | ||||
\(220\) | −1.20122 | + | 3.01484i | −0.0809864 | + | 0.203260i | ||||
\(221\) | 0.112801 | − | 0.166368i | 0.00758779 | − | 0.0111911i | ||||
\(222\) | 1.03706 | + | 6.32579i | 0.0696029 | + | 0.424559i | ||||
\(223\) | 0.222321 | + | 4.10046i | 0.0148877 | + | 0.274587i | 0.996494 | + | 0.0836690i | \(0.0266638\pi\) |
−0.981606 | + | 0.190918i | \(0.938853\pi\) | |||||||
\(224\) | 0.741764 | + | 0.163275i | 0.0495612 | + | 0.0109092i | ||||
\(225\) | −4.12026 | − | 10.3411i | −0.274684 | − | 0.689405i | ||||
\(226\) | 3.83982 | − | 13.8298i | 0.255421 | − | 0.919942i | ||||
\(227\) | 1.24291 | − | 22.9240i | 0.0824945 | − | 1.52152i | −0.605523 | − | 0.795828i | \(-0.707036\pi\) |
0.688017 | − | 0.725694i | \(-0.258481\pi\) | |||||||
\(228\) | −5.89640 | + | 0.641272i | −0.390498 | + | 0.0424693i | ||||
\(229\) | 4.40785 | − | 3.35076i | 0.291279 | − | 0.221425i | −0.449321 | − | 0.893370i | \(-0.648334\pi\) |
0.740601 | + | 0.671945i | \(0.234541\pi\) | |||||||
\(230\) | −7.64938 | − | 27.5506i | −0.504385 | − | 1.81663i | ||||
\(231\) | 0.599356 | − | 0.131928i | 0.0394348 | − | 0.00868025i | ||||
\(232\) | 4.75754 | + | 7.01685i | 0.312348 | + | 0.460679i | ||||
\(233\) | −19.5291 | + | 18.4990i | −1.27939 | + | 1.21191i | −0.314503 | + | 0.949256i | \(0.601838\pi\) |
−0.964891 | + | 0.262651i | \(0.915403\pi\) | |||||||
\(234\) | −0.0205782 | + | 0.0388145i | −0.00134524 | + | 0.00253738i | ||||
\(235\) | −19.2588 | −1.25631 | ||||||||
\(236\) | 7.66659 | + | 0.472621i | 0.499053 | + | 0.0307650i | ||||
\(237\) | −0.136365 | −0.00885783 | ||||||||
\(238\) | −1.62775 | + | 3.07025i | −0.105511 | + | 0.199015i | ||||
\(239\) | 18.7567 | − | 17.7673i | 1.21327 | − | 1.14927i | 0.228848 | − | 0.973462i | \(-0.426504\pi\) |
0.984424 | − | 0.175810i | \(-0.0562545\pi\) | |||||||
\(240\) | 2.25397 | + | 3.32435i | 0.145493 | + | 0.214586i | ||||
\(241\) | −13.1798 | + | 2.90109i | −0.848985 | + | 0.186876i | −0.618094 | − | 0.786104i | \(-0.712095\pi\) |
−0.230891 | + | 0.972980i | \(0.574164\pi\) | |||||||
\(242\) | 2.76815 | + | 9.96996i | 0.177943 | + | 0.640893i | ||||
\(243\) | −0.796093 | + | 0.605174i | −0.0510694 | + | 0.0388219i | ||||
\(244\) | 3.23811 | − | 0.352165i | 0.207298 | − | 0.0225451i | ||||
\(245\) | −1.39668 | + | 25.7602i | −0.0892304 | + | 1.64576i | ||||
\(246\) | −1.07263 | + | 3.86326i | −0.0683883 | + | 0.246313i | ||||
\(247\) | 0.0964463 | + | 0.242062i | 0.00613673 | + | 0.0154020i | ||||
\(248\) | −3.33136 | − | 0.733289i | −0.211542 | − | 0.0465639i | ||||
\(249\) | 0.200410 | + | 3.69635i | 0.0127005 | + | 0.234247i | ||||
\(250\) | 3.98428 | + | 24.3030i | 0.251988 | + | 1.53706i | ||||
\(251\) | 7.45053 | − | 10.9887i | 0.470274 | − | 0.693602i | −0.516394 | − | 0.856351i | \(-0.672726\pi\) |
0.986667 | + | 0.162750i | \(0.0520363\pi\) | |||||||
\(252\) | 0.281128 | − | 0.705577i | 0.0177094 | − | 0.0444472i | ||||
\(253\) | 4.57931 | + | 3.48110i | 0.287899 | + | 0.218855i | ||||
\(254\) | −0.0632894 | − | 0.0380800i | −0.00397113 | − | 0.00238935i | ||||
\(255\) | −17.4145 | + | 5.86763i | −1.09054 | + | 0.367445i | ||||
\(256\) | −0.725995 | − | 0.687699i | −0.0453747 | − | 0.0429812i | ||||
\(257\) | 4.85359 | − | 29.6056i | 0.302758 | − | 1.84674i | −0.196773 | − | 0.980449i | \(-0.563046\pi\) |
0.499531 | − | 0.866296i | \(-0.333506\pi\) | |||||||
\(258\) | −5.10583 | − | 0.555292i | −0.317875 | − | 0.0345710i | ||||
\(259\) | −4.17179 | + | 2.51008i | −0.259222 | + | 0.155969i | ||||
\(260\) | 0.114231 | − | 0.134483i | 0.00708432 | − | 0.00834031i | ||||
\(261\) | 7.69410 | − | 3.55967i | 0.476253 | − | 0.220338i | ||||
\(262\) | −13.6751 | − | 6.32677i | −0.844850 | − | 0.390869i | ||||
\(263\) | −8.09092 | − | 9.52537i | −0.498907 | − | 0.587359i | 0.453855 | − | 0.891076i | \(-0.350048\pi\) |
−0.952763 | + | 0.303716i | \(0.901773\pi\) | |||||||
\(264\) | −0.765718 | − | 0.258000i | −0.0471267 | − | 0.0158788i | ||||
\(265\) | −16.4461 | − | 31.0207i | −1.01028 | − | 1.90559i | ||||
\(266\) | −2.11011 | − | 3.98008i | −0.129379 | − | 0.244035i | ||||
\(267\) | −12.9037 | − | 4.34776i | −0.789693 | − | 0.266079i | ||||
\(268\) | −4.64002 | − | 5.46266i | −0.283435 | − | 0.333685i | ||||
\(269\) | −12.2695 | − | 5.67650i | −0.748087 | − | 0.346102i | 0.00852677 | − | 0.999964i | \(-0.497286\pi\) |
−0.756614 | + | 0.653862i | \(0.773148\pi\) | |||||||
\(270\) | 3.64521 | − | 1.68645i | 0.221840 | − | 0.102634i | ||||
\(271\) | −7.64751 | + | 9.00334i | −0.464553 | + | 0.546914i | −0.943692 | − | 0.330825i | \(-0.892673\pi\) |
0.479139 | + | 0.877739i | \(0.340949\pi\) | |||||||
\(272\) | 3.92040 | − | 2.35883i | 0.237709 | − | 0.143025i | ||||
\(273\) | −0.0331717 | − | 0.00360764i | −0.00200764 | − | 0.000218345i | ||||
\(274\) | 2.03787 | − | 12.4305i | 0.123113 | − | 0.750953i | ||||
\(275\) | −6.53002 | − | 6.18556i | −0.393775 | − | 0.373003i | ||||
\(276\) | 6.74630 | − | 2.27309i | 0.406080 | − | 0.136824i | ||||
\(277\) | −15.1946 | − | 9.14228i | −0.912955 | − | 0.549307i | −0.0201731 | − | 0.999797i | \(-0.506422\pi\) |
−0.892781 | + | 0.450490i | \(0.851249\pi\) | |||||||
\(278\) | −9.92158 | − | 7.54219i | −0.595057 | − | 0.452350i | ||||
\(279\) | −1.26258 | + | 3.16885i | −0.0755889 | + | 0.189714i | ||||
\(280\) | −1.71194 | + | 2.52492i | −0.102308 | + | 0.150893i | ||||
\(281\) | −1.44002 | − | 8.78373i | −0.0859043 | − | 0.523993i | −0.994364 | − | 0.106021i | \(-0.966189\pi\) |
0.908460 | − | 0.417973i | \(-0.137259\pi\) | |||||||
\(282\) | −0.259597 | − | 4.78798i | −0.0154588 | − | 0.285120i | ||||
\(283\) | −15.8768 | − | 3.49474i | −0.943775 | − | 0.207741i | −0.283677 | − | 0.958920i | \(-0.591554\pi\) |
−0.660098 | + | 0.751179i | \(0.729485\pi\) | |||||||
\(284\) | 5.82524 | + | 14.6202i | 0.345664 | + | 0.867552i | ||||
\(285\) | 6.37308 | − | 22.9538i | 0.377509 | − | 1.35966i | ||||
\(286\) | −0.00192181 | + | 0.0354457i | −0.000113639 | + | 0.00209595i | ||||
\(287\) | −3.02738 | + | 0.329247i | −0.178700 | + | 0.0194348i | ||||
\(288\) | −0.796093 | + | 0.605174i | −0.0469102 | + | 0.0356602i | ||||
\(289\) | 1.05235 | + | 3.79021i | 0.0619028 | + | 0.222954i | ||||
\(290\) | −33.2538 | + | 7.31970i | −1.95273 | + | 0.429828i | ||||
\(291\) | 1.56764 | + | 2.31210i | 0.0918969 | + | 0.135538i | ||||
\(292\) | −3.91232 | + | 3.70595i | −0.228951 | + | 0.216874i | ||||
\(293\) | −5.54476 | + | 10.4585i | −0.323928 | + | 0.610994i | −0.990979 | − | 0.134019i | \(-0.957212\pi\) |
0.667050 | + | 0.745013i | \(0.267557\pi\) | |||||||
\(294\) | −6.42313 | −0.374604 | ||||||||
\(295\) | −13.1608 | + | 27.9027i | −0.766253 | + | 1.62456i | ||||
\(296\) | 6.41023 | 0.372587 | ||||||||
\(297\) | −0.378481 | + | 0.713891i | −0.0219617 | + | 0.0414242i | ||||
\(298\) | −5.43810 | + | 5.15124i | −0.315021 | + | 0.298403i | ||||
\(299\) | −0.175512 | − | 0.258860i | −0.0101501 | − | 0.0149703i | ||||
\(300\) | −10.8714 | + | 2.39298i | −0.627662 | + | 0.138159i | ||||
\(301\) | −1.04359 | − | 3.75867i | −0.0601514 | − | 0.216646i | ||||
\(302\) | 9.79301 | − | 7.44445i | 0.563524 | − | 0.428380i | ||||
\(303\) | 3.72020 | − | 0.404596i | 0.213720 | − | 0.0232434i | ||||
\(304\) | −0.321107 | + | 5.92247i | −0.0184167 | + | 0.339677i | ||||
\(305\) | −3.49989 | + | 12.6055i | −0.200403 | + | 0.721786i | ||||
\(306\) | −1.69350 | − | 4.25037i | −0.0968111 | − | 0.242977i | ||||
\(307\) | −7.64069 | − | 1.68184i | −0.436077 | − | 0.0959878i | −0.00849404 | − | 0.999964i | \(-0.502704\pi\) |
−0.427583 | + | 0.903976i | \(0.640635\pi\) | |||||||
\(308\) | −0.0332253 | − | 0.612805i | −0.00189319 | − | 0.0349178i | ||||
\(309\) | 1.36905 | + | 8.35083i | 0.0778825 | + | 0.475062i | ||||
\(310\) | 7.68854 | − | 11.3397i | 0.436680 | − | 0.644054i | ||||
\(311\) | −9.28222 | + | 23.2966i | −0.526347 | + | 1.32103i | 0.390063 | + | 0.920788i | \(0.372453\pi\) |
−0.916409 | + | 0.400242i | \(0.868926\pi\) | |||||||
\(312\) | 0.0349740 | + | 0.0265866i | 0.00198001 | + | 0.00150517i | ||||
\(313\) | 11.7553 | + | 7.07291i | 0.664447 | + | 0.399784i | 0.807449 | − | 0.589938i | \(-0.200848\pi\) |
−0.143002 | + | 0.989722i | \(0.545675\pi\) | |||||||
\(314\) | 18.6705 | − | 6.29084i | 1.05364 | − | 0.355012i | ||||
\(315\) | 2.21469 | + | 2.09787i | 0.124784 | + | 0.118202i | ||||
\(316\) | −0.0220613 | + | 0.134568i | −0.00124105 | + | 0.00757005i | ||||
\(317\) | 16.3561 | + | 1.77884i | 0.918652 | + | 0.0999094i | 0.555212 | − | 0.831709i | \(-0.312637\pi\) |
0.363439 | + | 0.931618i | \(0.381602\pi\) | |||||||
\(318\) | 7.49044 | − | 4.50685i | 0.420043 | − | 0.252732i | ||||
\(319\) | 4.43464 | − | 5.22086i | 0.248292 | − | 0.292312i | ||||
\(320\) | 3.64521 | − | 1.68645i | 0.203773 | − | 0.0942756i | ||||
\(321\) | 0.137184 | + | 0.0634681i | 0.00765686 | + | 0.00354244i | ||||
\(322\) | 3.50042 | + | 4.12101i | 0.195071 | + | 0.229655i | ||||
\(323\) | −25.7165 | − | 8.66489i | −1.43090 | − | 0.482127i | ||||
\(324\) | 0.468408 | + | 0.883512i | 0.0260227 | + | 0.0490840i | ||||
\(325\) | 0.229069 | + | 0.432071i | 0.0127065 | + | 0.0239670i | ||||
\(326\) | 11.6028 | + | 3.90945i | 0.642621 | + | 0.216524i | ||||
\(327\) | 3.24618 | + | 3.82169i | 0.179514 | + | 0.211340i | ||||
\(328\) | 3.63884 | + | 1.68351i | 0.200921 | + | 0.0929560i | ||||
\(329\) | 3.30531 | − | 1.52920i | 0.182228 | − | 0.0843076i | ||||
\(330\) | 2.10098 | − | 2.47347i | 0.115655 | − | 0.136160i | ||||
\(331\) | 10.9261 | − | 6.57399i | 0.600550 | − | 0.361339i | −0.182585 | − | 0.983190i | \(-0.558447\pi\) |
0.783136 | + | 0.621851i | \(0.213619\pi\) | |||||||
\(332\) | 3.68008 | + | 0.400233i | 0.201971 | + | 0.0219656i | ||||
\(333\) | 1.03706 | − | 6.32579i | 0.0568305 | − | 0.346651i | ||||
\(334\) | −4.32497 | − | 4.09683i | −0.236652 | − | 0.224168i | ||||
\(335\) | 27.2801 | − | 9.19174i | 1.49047 | − | 0.502198i | ||||
\(336\) | −0.650801 | − | 0.391574i | −0.0355041 | − | 0.0213621i | ||||
\(337\) | 15.6428 | + | 11.8913i | 0.852116 | + | 0.647762i | 0.937269 | − | 0.348606i | \(-0.113345\pi\) |
−0.0851532 | + | 0.996368i | \(0.527138\pi\) | |||||||
\(338\) | −4.81108 | + | 12.0749i | −0.261688 | + | 0.656788i | ||||
\(339\) | −8.05468 | + | 11.8798i | −0.437470 | + | 0.645220i | ||||
\(340\) | 2.97298 | + | 18.1344i | 0.161232 | + | 0.983474i | ||||
\(341\) | 0.149219 | + | 2.75219i | 0.00808068 | + | 0.149039i | ||||
\(342\) | 5.79250 | + | 1.27503i | 0.313222 | + | 0.0689455i | ||||
\(343\) | −3.77361 | − | 9.47106i | −0.203756 | − | 0.511389i | ||||
\(344\) | −1.37401 | + | 4.94873i | −0.0740816 | + | 0.266818i | ||||
\(345\) | −1.54798 | + | 28.5508i | −0.0833405 | + | 1.53713i | ||||
\(346\) | −17.7918 | + | 1.93497i | −0.956491 | + | 0.104025i | ||||
\(347\) | 18.2184 | − | 13.8493i | 0.978015 | − | 0.743467i | 0.0114617 | − | 0.999934i | \(-0.496352\pi\) |
0.966553 | + | 0.256467i | \(0.0825585\pi\) | |||||||
\(348\) | −2.26801 | − | 8.16863i | −0.121578 | − | 0.437884i | ||||
\(349\) | 18.5501 | − | 4.08319i | 0.992965 | − | 0.218568i | 0.311363 | − | 0.950291i | \(-0.399214\pi\) |
0.681602 | + | 0.731723i | \(0.261283\pi\) | |||||||
\(350\) | −4.74470 | − | 6.99790i | −0.253615 | − | 0.374054i | ||||
\(351\) | 0.0318945 | − | 0.0302121i | 0.00170240 | − | 0.00161260i | ||||
\(352\) | −0.378481 | + | 0.713891i | −0.0201731 | + | 0.0380505i | ||||
\(353\) | 5.54098 | 0.294917 | 0.147458 | − | 0.989068i | \(-0.452891\pi\) | ||||
0.147458 | + | 0.989068i | \(0.452891\pi\) | |||||||
\(354\) | −7.11436 | − | 2.89584i | −0.378124 | − | 0.153912i | ||||
\(355\) | −63.2105 | −3.35487 | ||||||||
\(356\) | −6.37807 | + | 12.0303i | −0.338037 | + | 0.637606i | ||||
\(357\) | 2.52287 | − | 2.38979i | 0.133525 | − | 0.126481i | ||||
\(358\) | 11.9475 | + | 17.6212i | 0.631443 | + | 0.931308i | ||||
\(359\) | 29.2347 | − | 6.43505i | 1.54295 | − | 0.339629i | 0.639659 | − | 0.768659i | \(-0.279075\pi\) |
0.903290 | + | 0.429030i | \(0.141144\pi\) | |||||||
\(360\) | −1.07451 | − | 3.87003i | −0.0566315 | − | 0.203968i | ||||
\(361\) | 12.8798 | − | 9.79094i | 0.677882 | − | 0.515313i | ||||
\(362\) | −17.5164 | + | 1.90502i | −0.920640 | + | 0.100126i | ||||
\(363\) | 0.560181 | − | 10.3319i | 0.0294019 | − | 0.542286i | ||||
\(364\) | −0.00892671 | + | 0.0321511i | −0.000467887 | + | 0.00168518i | ||||
\(365\) | −8.01132 | − | 20.1069i | −0.419332 | − | 1.05244i | ||||
\(366\) | −3.18105 | − | 0.700202i | −0.166276 | − | 0.0366001i | ||||
\(367\) | 0.647325 | + | 11.9392i | 0.0337901 | + | 0.623221i | 0.965561 | + | 0.260175i | \(0.0837804\pi\) |
−0.931771 | + | 0.363046i | \(0.881737\pi\) | |||||||
\(368\) | −1.15172 | − | 7.02518i | −0.0600375 | − | 0.366213i | ||||
\(369\) | 2.25003 | − | 3.31854i | 0.117132 | − | 0.172756i | ||||
\(370\) | −9.52966 | + | 23.9176i | −0.495423 | + | 1.24342i | ||||
\(371\) | 5.28570 | + | 4.01809i | 0.274420 | + | 0.208609i | ||||
\(372\) | 2.92284 | + | 1.75861i | 0.151542 | + | 0.0911799i | ||||
\(373\) | −5.47051 | + | 1.84323i | −0.283252 | + | 0.0954388i | −0.457342 | − | 0.889291i | \(-0.651198\pi\) |
0.174089 | + | 0.984730i | \(0.444302\pi\) | |||||||
\(374\) | −2.68396 | − | 2.54238i | −0.138784 | − | 0.131463i | ||||
\(375\) | 3.98428 | − | 24.3030i | 0.205747 | − | 1.25500i | ||||
\(376\) | −4.76691 | − | 0.518433i | −0.245835 | − | 0.0267361i | ||||
\(377\) | −0.319128 | + | 0.192013i | −0.0164359 | + | 0.00988917i | ||||
\(378\) | −0.491704 | + | 0.578878i | −0.0252905 | + | 0.0297743i | ||||
\(379\) | 0.733459 | − | 0.339334i | 0.0376753 | − | 0.0174304i | −0.400961 | − | 0.916095i | \(-0.631324\pi\) |
0.438636 | + | 0.898665i | \(0.355462\pi\) | |||||||
\(380\) | −21.6203 | − | 10.0026i | −1.10910 | − | 0.513124i | ||||
\(381\) | 0.0478174 | + | 0.0562950i | 0.00244976 | + | 0.00288408i | ||||
\(382\) | −4.23893 | − | 1.42826i | −0.216883 | − | 0.0730762i | ||||
\(383\) | −0.948681 | − | 1.78940i | −0.0484754 | − | 0.0914342i | 0.858091 | − | 0.513498i | \(-0.171651\pi\) |
−0.906566 | + | 0.422064i | \(0.861306\pi\) | |||||||
\(384\) | 0.468408 | + | 0.883512i | 0.0239034 | + | 0.0450865i | ||||
\(385\) | 2.33587 | + | 0.787046i | 0.119047 | + | 0.0401116i | ||||
\(386\) | 15.5784 | + | 18.3403i | 0.792920 | + | 0.933497i | ||||
\(387\) | 4.66125 | + | 2.15652i | 0.236945 | + | 0.109622i | ||||
\(388\) | 2.53526 | − | 1.17294i | 0.128708 | − | 0.0595468i | ||||
\(389\) | −7.20709 | + | 8.48485i | −0.365414 | + | 0.430199i | −0.913886 | − | 0.405970i | \(-0.866934\pi\) |
0.548472 | + | 0.836169i | \(0.315210\pi\) | |||||||
\(390\) | −0.151192 | + | 0.0909694i | −0.00765592 | + | 0.00460642i | ||||
\(391\) | 32.3806 | + | 3.52160i | 1.63756 | + | 0.178095i | ||||
\(392\) | −1.03915 | + | 6.33851i | −0.0524848 | + | 0.320143i | ||||
\(393\) | 10.9391 | + | 10.3621i | 0.551804 | + | 0.522697i | ||||
\(394\) | −19.0552 | + | 6.42044i | −0.959987 | + | 0.323457i | ||||
\(395\) | −0.469299 | − | 0.282368i | −0.0236130 | − | 0.0142075i | ||||
\(396\) | 0.643255 | + | 0.488990i | 0.0323248 | + | 0.0245727i | ||||
\(397\) | 9.69354 | − | 24.3290i | 0.486505 | − | 1.22104i | −0.456937 | − | 0.889499i | \(-0.651054\pi\) |
0.943442 | − | 0.331537i | \(-0.107567\pi\) | |||||||
\(398\) | −7.51885 | + | 11.0895i | −0.376886 | + | 0.555865i | ||||
\(399\) | 0.728803 | + | 4.44550i | 0.0364858 | + | 0.222553i | ||||
\(400\) | 0.602657 | + | 11.1154i | 0.0301329 | + | 0.555768i | ||||
\(401\) | −18.8040 | − | 4.13908i | −0.939028 | − | 0.206696i | −0.281016 | − | 0.959703i | \(-0.590671\pi\) |
−0.658012 | + | 0.753007i | \(0.728602\pi\) | |||||||
\(402\) | 2.65290 | + | 6.65827i | 0.132315 | + | 0.332084i | ||||
\(403\) | 0.0400911 | − | 0.144395i | 0.00199708 | − | 0.00719283i | ||||
\(404\) | 0.202595 | − | 3.73664i | 0.0100795 | − | 0.185905i | ||||
\(405\) | −3.99288 | + | 0.434252i | −0.198408 | + | 0.0215782i | ||||
\(406\) | 5.12600 | − | 3.89668i | 0.254399 | − | 0.193389i | ||||
\(407\) | −1.38568 | − | 4.99077i | −0.0686856 | − | 0.247383i | ||||
\(408\) | −4.46836 | + | 0.983559i | −0.221217 | + | 0.0486934i | ||||
\(409\) | 3.56639 | + | 5.26003i | 0.176347 | + | 0.260092i | 0.905582 | − | 0.424171i | \(-0.139434\pi\) |
−0.729235 | + | 0.684263i | \(0.760124\pi\) | |||||||
\(410\) | −11.6911 | + | 11.0744i | −0.577380 | + | 0.546923i | ||||
\(411\) | −5.90027 | + | 11.1291i | −0.291039 | + | 0.548958i | ||||
\(412\) | 8.46231 | 0.416908 | ||||||||
\(413\) | 0.0431918 | − | 5.83383i | 0.00212533 | − | 0.287064i | ||||
\(414\) | −7.11896 | −0.349878 | ||||||||
\(415\) | −6.96426 | + | 13.1360i | −0.341862 | + | 0.644820i | ||||
\(416\) | 0.0318945 | − | 0.0302121i | 0.00156376 | − | 0.00148127i | ||||
\(417\) | 6.99398 | + | 10.3154i | 0.342497 | + | 0.505145i | ||||
\(418\) | 4.68043 | − | 1.03024i | 0.228927 | − | 0.0503907i | ||||
\(419\) | −9.11885 | − | 32.8431i | −0.445485 | − | 1.60449i | −0.756437 | − | 0.654067i | \(-0.773061\pi\) |
0.310952 | − | 0.950426i | \(-0.399352\pi\) | |||||||
\(420\) | 2.42853 | − | 1.84612i | 0.118500 | − | 0.0900815i | ||||
\(421\) | 20.0095 | − | 2.17616i | 0.975204 | − | 0.106060i | 0.393381 | − | 0.919376i | \(-0.371305\pi\) |
0.581823 | + | 0.813316i | \(0.302340\pi\) | |||||||
\(422\) | −1.33200 | + | 24.5673i | −0.0648408 | + | 1.19592i | ||||
\(423\) | −1.28280 | + | 4.62024i | −0.0623720 | + | 0.224644i | ||||
\(424\) | −3.23566 | − | 8.12090i | −0.157138 | − | 0.394386i | ||||
\(425\) | −49.7403 | − | 10.9487i | −2.41276 | − | 0.531089i | ||||
\(426\) | −0.852038 | − | 15.7149i | −0.0412814 | − | 0.761391i | ||||
\(427\) | −0.400234 | − | 2.44132i | −0.0193687 | − | 0.118144i | ||||
\(428\) | 0.0848259 | − | 0.125109i | 0.00410021 | − | 0.00604736i | ||||
\(429\) | 0.0131391 | − | 0.0329766i | 0.000634361 | − | 0.00159213i | ||||
\(430\) | −16.4219 | − | 12.4836i | −0.791934 | − | 0.602013i | ||||
\(431\) | 25.7315 | + | 15.4821i | 1.23944 | + | 0.745749i | 0.975756 | − | 0.218860i | \(-0.0702337\pi\) |
0.263687 | + | 0.964608i | \(0.415061\pi\) | |||||||
\(432\) | 0.947653 | − | 0.319302i | 0.0455940 | − | 0.0153624i | ||||
\(433\) | −23.9961 | − | 22.7303i | −1.15318 | − | 1.09235i | −0.994470 | − | 0.105023i | \(-0.966508\pi\) |
−0.158708 | − | 0.987326i | \(-0.550733\pi\) | |||||||
\(434\) | −0.419147 | + | 2.55668i | −0.0201197 | + | 0.122725i | ||||
\(435\) | 33.8502 | + | 3.68143i | 1.62299 | + | 0.176511i | ||||
\(436\) | 4.29652 | − | 2.58513i | 0.205766 | − | 0.123805i | ||||
\(437\) | −27.3350 | + | 32.1813i | −1.30761 | + | 1.53944i | ||||
\(438\) | 4.89084 | − | 2.26274i | 0.233693 | − | 0.108118i | ||||
\(439\) | 23.7760 | + | 11.0000i | 1.13477 | + | 0.525000i | 0.895105 | − | 0.445856i | \(-0.147101\pi\) |
0.239664 | + | 0.970856i | \(0.422963\pi\) | |||||||
\(440\) | −2.10098 | − | 2.47347i | −0.100161 | − | 0.117918i | ||||
\(441\) | 6.08690 | + | 2.05091i | 0.289852 | + | 0.0976626i | ||||
\(442\) | 0.0941517 | + | 0.177589i | 0.00447834 | + | 0.00844705i | ||||
\(443\) | 9.16055 | + | 17.2786i | 0.435231 | + | 0.820933i | 0.999991 | − | 0.00432257i | \(-0.00137592\pi\) |
−0.564760 | + | 0.825255i | \(0.691031\pi\) | |||||||
\(444\) | −6.07468 | − | 2.04680i | −0.288291 | − | 0.0971367i | ||||
\(445\) | −35.4053 | − | 41.6823i | −1.67837 | − | 1.97593i | ||||
\(446\) | −3.72695 | − | 1.72427i | −0.176476 | − | 0.0816465i | ||||
\(447\) | 6.79823 | − | 3.14520i | 0.321545 | − | 0.148763i | ||||
\(448\) | −0.491704 | + | 0.578878i | −0.0232308 | + | 0.0273494i | ||||
\(449\) | −22.9116 | + | 13.7854i | −1.08126 | + | 0.650576i | −0.940612 | − | 0.339483i | \(-0.889748\pi\) |
−0.140653 | + | 0.990059i | \(0.544920\pi\) | |||||||
\(450\) | 11.0664 | + | 1.20355i | 0.521677 | + | 0.0567357i | ||||
\(451\) | 0.524119 | − | 3.19698i | 0.0246798 | − | 0.150540i | ||||
\(452\) | 10.4202 | + | 9.87050i | 0.490123 | + | 0.464269i | ||||
\(453\) | −11.6574 | + | 3.92783i | −0.547712 | + | 0.184546i | ||||
\(454\) | 19.6715 | + | 11.8359i | 0.923228 | + | 0.555488i | ||||
\(455\) | −0.106690 | − | 0.0811039i | −0.00500172 | − | 0.00380221i | ||||
\(456\) | 2.19535 | − | 5.50991i | 0.102807 | − | 0.258025i | ||||
\(457\) | −0.413715 | + | 0.610184i | −0.0193528 | + | 0.0285432i | −0.837242 | − | 0.546832i | \(-0.815834\pi\) |
0.817890 | + | 0.575375i | \(0.195144\pi\) | |||||||
\(458\) | 0.895764 | + | 5.46392i | 0.0418563 | + | 0.255312i | ||||
\(459\) | 0.247703 | + | 4.56861i | 0.0115618 | + | 0.213245i | ||||
\(460\) | 27.9243 | + | 6.14660i | 1.30198 | + | 0.286587i | ||||
\(461\) | −7.06842 | − | 17.7404i | −0.329209 | − | 0.826253i | −0.996665 | − | 0.0816032i | \(-0.973996\pi\) |
0.667456 | − | 0.744649i | \(-0.267383\pi\) | |||||||
\(462\) | −0.164183 | + | 0.591335i | −0.00763850 | + | 0.0275114i | ||||
\(463\) | −0.492517 | + | 9.08394i | −0.0228892 | + | 0.422166i | 0.964523 | + | 0.263999i | \(0.0850414\pi\) |
−0.987412 | + | 0.158168i | \(0.949441\pi\) | |||||||
\(464\) | −8.42794 | + | 0.916594i | −0.391257 | + | 0.0425518i | ||||
\(465\) | −10.9069 | + | 8.29118i | −0.505794 | + | 0.384494i | ||||
\(466\) | −7.19645 | − | 25.9193i | −0.333369 | − | 1.20069i | ||||
\(467\) | 16.9483 | − | 3.73061i | 0.784276 | − | 0.172632i | 0.195258 | − | 0.980752i | \(-0.437446\pi\) |
0.589018 | + | 0.808120i | \(0.299515\pi\) | |||||||
\(468\) | −0.0246541 | − | 0.0363621i | −0.00113964 | − | 0.00168084i | ||||
\(469\) | −3.95212 | + | 3.74365i | −0.182492 | + | 0.172866i | ||||
\(470\) | 9.02100 | − | 17.0154i | 0.416108 | − | 0.784862i | ||||
\(471\) | −19.7019 | −0.907814 | ||||||||
\(472\) | −4.00866 | + | 6.55215i | −0.184514 | + | 0.301587i | ||||
\(473\) | 4.14991 | 0.190813 | ||||||||
\(474\) | 0.0638743 | − | 0.120480i | 0.00293384 | − | 0.00553382i | ||||
\(475\) | 47.9330 | − | 45.4046i | 2.19932 | − | 2.08330i | ||||
\(476\) | −1.95016 | − | 2.87627i | −0.0893853 | − | 0.131833i | ||||
\(477\) | −8.53739 | + | 1.87922i | −0.390900 | + | 0.0860436i | ||||
\(478\) | 6.91183 | + | 24.8942i | 0.316140 | + | 1.13863i | ||||
\(479\) | 1.47230 | − | 1.11921i | 0.0672710 | − | 0.0511381i | −0.570998 | − | 0.820951i | \(-0.693444\pi\) |
0.638269 | + | 0.769813i | \(0.279651\pi\) | |||||||
\(480\) | −3.99288 | + | 0.434252i | −0.182249 | + | 0.0198208i | ||||
\(481\) | −0.0152463 | + | 0.281202i | −0.000695172 | + | 0.0128217i | ||||
\(482\) | 3.61038 | − | 13.0034i | 0.164448 | − | 0.592289i | ||||
\(483\) | −2.00134 | − | 5.02298i | −0.0910640 | − | 0.228553i | ||||
\(484\) | −10.1052 | − | 2.22432i | −0.459327 | − | 0.101106i | ||||
\(485\) | 0.607420 | + | 11.2032i | 0.0275815 | + | 0.508711i | ||||
\(486\) | −0.161782 | − | 0.986827i | −0.00733858 | − | 0.0447634i | ||||
\(487\) | 6.01939 | − | 8.87793i | 0.272764 | − | 0.402297i | −0.666493 | − | 0.745511i | \(-0.732205\pi\) |
0.939257 | + | 0.343214i | \(0.111516\pi\) | |||||||
\(488\) | −1.20561 | + | 3.02586i | −0.0545756 | + | 0.136974i | ||||
\(489\) | −9.74717 | − | 7.40960i | −0.440782 | − | 0.335074i | ||||
\(490\) | −22.1052 | − | 13.3003i | −0.998612 | − | 0.600845i | ||||
\(491\) | 32.6554 | − | 11.0029i | 1.47372 | − | 0.496553i | 0.536080 | − | 0.844167i | \(-0.319905\pi\) |
0.937638 | + | 0.347614i | \(0.113008\pi\) | |||||||
\(492\) | −2.91081 | − | 2.75727i | −0.131229 | − | 0.124307i | ||||
\(493\) | 6.27519 | − | 38.2770i | 0.282620 | − | 1.72391i | ||||
\(494\) | −0.259041 | − | 0.0281724i | −0.0116548 | − | 0.00126754i | ||||
\(495\) | −2.78079 | + | 1.67314i | −0.124987 | + | 0.0752022i | ||||
\(496\) | 2.20831 | − | 2.59982i | 0.0991560 | − | 0.116735i | ||||
\(497\) | 10.8486 | − | 5.01908i | 0.486625 | − | 0.225137i | ||||
\(498\) | −3.35964 | − | 1.55434i | −0.150549 | − | 0.0696515i | ||||
\(499\) | −2.40286 | − | 2.82886i | −0.107567 | − | 0.126637i | 0.705744 | − | 0.708467i | \(-0.250613\pi\) |
−0.813311 | + | 0.581830i | \(0.802337\pi\) | |||||||
\(500\) | −23.3383 | − | 7.86359i | −1.04372 | − | 0.351670i | ||||
\(501\) | 2.79045 | + | 5.26334i | 0.124668 | + | 0.235149i | ||||
\(502\) | 6.21877 | + | 11.7298i | 0.277557 | + | 0.523529i | ||||
\(503\) | 21.7167 | + | 7.31721i | 0.968299 | + | 0.326258i | 0.758635 | − | 0.651515i | \(-0.225866\pi\) |
0.209664 | + | 0.977773i | \(0.432763\pi\) | |||||||
\(504\) | 0.491704 | + | 0.578878i | 0.0219022 | + | 0.0257853i | ||||
\(505\) | 13.6409 | + | 6.31093i | 0.607010 | + | 0.280833i | ||||
\(506\) | −5.22058 | + | 2.41530i | −0.232083 | + | 0.107373i | ||||
\(507\) | 8.41477 | − | 9.90664i | 0.373713 | − | 0.439969i | ||||
\(508\) | 0.0632894 | − | 0.0380800i | 0.00280801 | − | 0.00168953i | ||||
\(509\) | 1.90139 | + | 0.206789i | 0.0842778 | + | 0.00916577i | 0.150161 | − | 0.988662i | \(-0.452021\pi\) |
−0.0658829 | + | 0.997827i | \(0.520986\pi\) | |||||||
\(510\) | 2.97298 | − | 18.1344i | 0.131646 | − | 0.803004i | ||||
\(511\) | 2.97149 | + | 2.81474i | 0.131451 | + | 0.124517i | ||||
\(512\) | 0.947653 | − | 0.319302i | 0.0418807 | − | 0.0141113i | ||||
\(513\) | −5.08216 | − | 3.05783i | −0.224383 | − | 0.135007i | ||||
\(514\) | 23.8834 | + | 18.1557i | 1.05345 | + | 0.800814i | ||||
\(515\) | −12.5804 | + | 31.5743i | −0.554357 | + | 1.39133i | ||||
\(516\) | 2.88222 | − | 4.25096i | 0.126883 | − | 0.187138i | ||||
\(517\) | 0.626816 | + | 3.82341i | 0.0275673 | + | 0.168153i | ||||
\(518\) | −0.263586 | − | 4.86157i | −0.0115813 | − | 0.213605i | ||||
\(519\) | 17.4783 | + | 3.84726i | 0.767210 | + | 0.168876i | ||||
\(520\) | 0.0653109 | + | 0.163918i | 0.00286407 | + | 0.00718827i | ||||
\(521\) | −6.61779 | + | 23.8351i | −0.289931 | + | 1.04424i | 0.664863 | + | 0.746965i | \(0.268490\pi\) |
−0.954793 | + | 0.297270i | \(0.903924\pi\) | |||||||
\(522\) | −0.458970 | + | 8.46521i | −0.0200886 | + | 0.370512i | ||||
\(523\) | −35.1175 | + | 3.81926i | −1.53558 | + | 0.167004i | −0.836472 | − | 0.548010i | \(-0.815385\pi\) |
−0.699109 | + | 0.715015i | \(0.746420\pi\) | |||||||
\(524\) | 11.9953 | − | 9.11859i | 0.524017 | − | 0.398348i | ||||
\(525\) | 2.26189 | + | 8.14657i | 0.0987168 | + | 0.355546i | ||||
\(526\) | 12.2056 | − | 2.68666i | 0.532191 | − | 0.117144i | ||||
\(527\) | 8.75842 | + | 12.9177i | 0.381523 | + | 0.562704i | ||||
\(528\) | 0.586615 | − | 0.555672i | 0.0255292 | − | 0.0241825i | ||||
\(529\) | 12.9653 | − | 24.4552i | 0.563710 | − | 1.06327i | ||||
\(530\) | 35.1107 | 1.52511 | ||||||||
\(531\) | 5.81730 | + | 5.01587i | 0.252449 | + | 0.217670i | ||||
\(532\) | 4.50484 | 0.195310 | ||||||||
\(533\) | −0.0825061 | + | 0.155623i | −0.00357374 | + | 0.00674078i | ||||
\(534\) | 9.88550 | − | 9.36404i | 0.427787 | − | 0.405222i | ||||
\(535\) | 0.340697 | + | 0.502490i | 0.0147296 | + | 0.0217246i | ||||
\(536\) | 6.99975 | − | 1.54076i | 0.302343 | − | 0.0665508i | ||||
\(537\) | −5.69558 | − | 20.5136i | −0.245782 | − | 0.885228i | ||||
\(538\) | 10.7624 | − | 8.18137i | 0.464001 | − | 0.352724i | ||||
\(539\) | 5.15956 | − | 0.561136i | 0.222238 | − | 0.0241698i | ||||
\(540\) | −0.217445 | + | 4.01054i | −0.00935734 | + | 0.172586i | ||||
\(541\) | 1.37404 | − | 4.94886i | 0.0590748 | − | 0.212768i | −0.928122 | − | 0.372277i | \(-0.878577\pi\) |
0.987197 | + | 0.159509i | \(0.0509910\pi\) | |||||||
\(542\) | −4.37240 | − | 10.9739i | −0.187811 | − | 0.471370i | ||||
\(543\) | 17.2077 | + | 3.78770i | 0.738454 | + | 0.162546i | ||||
\(544\) | 0.247703 | + | 4.56861i | 0.0106202 | + | 0.195878i | ||||
\(545\) | 3.25821 | + | 19.8742i | 0.139566 | + | 0.851317i | ||||
\(546\) | 0.0187253 | − | 0.0276178i | 0.000801370 | − | 0.00118193i | ||||
\(547\) | 4.70800 | − | 11.8162i | 0.201299 | − | 0.505223i | −0.793322 | − | 0.608803i | \(-0.791650\pi\) |
0.994621 | + | 0.103579i | \(0.0330295\pi\) | |||||||
\(548\) | 10.0279 | + | 7.62303i | 0.428372 | + | 0.325640i | ||||
\(549\) | 2.79095 | + | 1.67926i | 0.119115 | + | 0.0716691i | ||||
\(550\) | 8.52373 | − | 2.87198i | 0.363453 | − | 0.122462i | ||||
\(551\) | 36.5047 | + | 34.5791i | 1.55515 | + | 1.47312i | ||||
\(552\) | −1.15172 | + | 7.02518i | −0.0490204 | + | 0.299011i | ||||
\(553\) | 0.102965 | + | 0.0111981i | 0.00437850 | + | 0.000476191i | ||||
\(554\) | 15.1946 | − | 9.14228i | 0.645556 | − | 0.388418i | ||||
\(555\) | 16.6678 | − | 19.6228i | 0.707507 | − | 0.832941i | ||||
\(556\) | 11.3110 | − | 5.23301i | 0.479692 | − | 0.221929i | ||||
\(557\) | −2.98568 | − | 1.38132i | −0.126507 | − | 0.0585286i | 0.355614 | − | 0.934633i | \(-0.384272\pi\) |
−0.482122 | + | 0.876104i | \(0.660134\pi\) | |||||||
\(558\) | −2.20831 | − | 2.59982i | −0.0934852 | − | 0.110059i | ||||
\(559\) | −0.213821 | − | 0.0720447i | −0.00904367 | − | 0.00304717i | ||||
\(560\) | −1.42891 | − | 2.69521i | −0.0603824 | − | 0.113893i | ||||
\(561\) | 1.73167 | + | 3.26628i | 0.0731113 | + | 0.137903i | ||||
\(562\) | 8.43505 | + | 2.84210i | 0.355811 | + | 0.119887i | ||||
\(563\) | −24.4703 | − | 28.8087i | −1.03130 | − | 1.21414i | −0.976472 | − | 0.215646i | \(-0.930814\pi\) |
−0.0548292 | − | 0.998496i | \(-0.517461\pi\) | |||||||
\(564\) | 4.35184 | + | 2.01338i | 0.183245 | + | 0.0847784i | ||||
\(565\) | −52.3195 | + | 24.2056i | −2.20110 | + | 1.01834i | ||||
\(566\) | 10.5244 | − | 12.3903i | 0.442376 | − | 0.520805i | ||||
\(567\) | 0.650801 | − | 0.391574i | 0.0273311 | − | 0.0164446i | ||||
\(568\) | −15.6457 | − | 1.70158i | −0.656481 | − | 0.0713966i | ||||
\(569\) | −5.56762 | + | 33.9610i | −0.233407 | + | 1.42372i | 0.566731 | + | 0.823903i | \(0.308208\pi\) |
−0.800138 | + | 0.599816i | \(0.795241\pi\) | |||||||
\(570\) | 17.2947 | + | 16.3824i | 0.724396 | + | 0.686185i | ||||
\(571\) | 5.12714 | − | 1.72754i | 0.214564 | − | 0.0722951i | −0.209967 | − | 0.977709i | \(-0.567336\pi\) |
0.424531 | + | 0.905413i | \(0.360439\pi\) | |||||||
\(572\) | −0.0304165 | − | 0.0183010i | −0.00127178 | − | 0.000765204i | ||||
\(573\) | 3.56099 | + | 2.70699i | 0.148762 | + | 0.113086i | ||||
\(574\) | 1.12715 | − | 2.82895i | 0.0470465 | − | 0.118078i | ||||
\(575\) | −44.4718 | + | 65.5910i | −1.85460 | + | 2.73533i | ||||
\(576\) | −0.161782 | − | 0.986827i | −0.00674092 | − | 0.0411178i | ||||
\(577\) | 1.43074 | + | 26.3885i | 0.0595626 | + | 1.09857i | 0.863662 | + | 0.504072i | \(0.168165\pi\) |
−0.804099 | + | 0.594495i | \(0.797352\pi\) | |||||||
\(578\) | −3.84163 | − | 0.845606i | −0.159791 | − | 0.0351726i | ||||
\(579\) | −8.90683 | − | 22.3545i | −0.370155 | − | 0.929020i | ||||
\(580\) | 9.10929 | − | 32.8087i | 0.378243 | − | 1.36231i | ||||
\(581\) | 0.152216 | − | 2.80746i | 0.00631498 | − | 0.116473i | ||||
\(582\) | −2.77707 | + | 0.302024i | −0.115113 | + | 0.0125193i | ||||
\(583\) | −5.62319 | + | 4.27464i | −0.232889 | + | 0.177037i | ||||
\(584\) | −1.44168 | − | 5.19248i | −0.0596573 | − | 0.214866i | ||||
\(585\) | 0.172325 | − | 0.0379315i | 0.00712475 | − | 0.00156828i | ||||
\(586\) | −6.64302 | − | 9.79772i | −0.274421 | − | 0.404740i | ||||
\(587\) | −9.22572 | + | 8.73906i | −0.380786 | + | 0.360700i | −0.854023 | − | 0.520236i | \(-0.825844\pi\) |
0.473237 | + | 0.880935i | \(0.343086\pi\) | |||||||
\(588\) | 3.00865 | − | 5.67491i | 0.124075 | − | 0.234029i | ||||
\(589\) | −20.2319 | −0.833640 | ||||||||
\(590\) | −18.4877 | − | 24.6976i | −0.761128 | − | 1.01679i | ||||
\(591\) | 20.1078 | 0.827123 | ||||||||
\(592\) | −3.00261 | + | 5.66352i | −0.123406 | + | 0.232769i | ||||
\(593\) | −33.0208 | + | 31.2790i | −1.35600 | + | 1.28447i | −0.432110 | + | 0.901821i | \(0.642231\pi\) |
−0.923892 | + | 0.382653i | \(0.875011\pi\) | |||||||
\(594\) | −0.453448 | − | 0.668785i | −0.0186052 | − | 0.0274406i | ||||
\(595\) | 13.6310 | − | 3.00041i | 0.558816 | − | 0.123005i | ||||
\(596\) | −2.00393 | − | 7.21751i | −0.0820843 | − | 0.295641i | ||||
\(597\) | 10.6662 | − | 8.10820i | 0.436537 | − | 0.331846i | ||||
\(598\) | 0.310917 | − | 0.0338143i | 0.0127143 | − | 0.00138277i | ||||
\(599\) | 0.788053 | − | 14.5348i | 0.0321990 | − | 0.593875i | −0.937261 | − | 0.348627i | \(-0.886648\pi\) |
0.969460 | − | 0.245248i | \(-0.0788693\pi\) | |||||||
\(600\) | 2.97804 | − | 10.7259i | 0.121578 | − | 0.437884i | ||||
\(601\) | 12.2576 | + | 30.7642i | 0.499997 | + | 1.25490i | 0.935057 | + | 0.354497i | \(0.115348\pi\) |
−0.435060 | + | 0.900402i | \(0.643273\pi\) | |||||||
\(602\) | 3.80965 | + | 0.838568i | 0.155270 | + | 0.0341775i | ||||
\(603\) | −0.388031 | − | 7.15681i | −0.0158018 | − | 0.291448i | ||||
\(604\) | 1.99013 | + | 12.1393i | 0.0809774 | + | 0.493940i | ||||
\(605\) | 23.3220 | − | 34.3974i | 0.948176 | − | 1.39845i | ||||
\(606\) | −1.38511 | + | 3.47635i | −0.0562661 | + | 0.141217i | ||||
\(607\) | 10.7806 | + | 8.19523i | 0.437573 | + | 0.332634i | 0.800658 | − | 0.599122i | \(-0.204484\pi\) |
−0.363085 | + | 0.931756i | \(0.618277\pi\) | |||||||
\(608\) | −5.08216 | − | 3.05783i | −0.206109 | − | 0.124012i | ||||
\(609\) | −6.10189 | + | 2.05597i | −0.247261 | + | 0.0833119i | ||||
\(610\) | −9.49769 | − | 8.99669i | −0.384550 | − | 0.364265i | ||||
\(611\) | 0.0340802 | − | 0.207880i | 0.00137874 | − | 0.00840992i | ||||
\(612\) | 4.54850 | + | 0.494680i | 0.183862 | + | 0.0199962i | ||||
\(613\) | 10.2032 | − | 6.13907i | 0.412104 | − | 0.247955i | −0.294373 | − | 0.955691i | \(-0.595111\pi\) |
0.706477 | + | 0.707736i | \(0.250283\pi\) | |||||||
\(614\) | 5.06489 | − | 5.96285i | 0.204402 | − | 0.240641i | ||||
\(615\) | 14.6151 | − | 6.76168i | 0.589339 | − | 0.272657i | ||||
\(616\) | 0.556983 | + | 0.257688i | 0.0224415 | + | 0.0103825i | ||||
\(617\) | −17.6263 | − | 20.7513i | −0.709607 | − | 0.835414i | 0.282701 | − | 0.959208i | \(-0.408770\pi\) |
−0.992308 | + | 0.123794i | \(0.960494\pi\) | |||||||
\(618\) | −8.01934 | − | 2.70203i | −0.322585 | − | 0.108692i | ||||
\(619\) | −6.11463 | − | 11.5334i | −0.245768 | − | 0.463567i | 0.729683 | − | 0.683786i | \(-0.239668\pi\) |
−0.975451 | + | 0.220219i | \(0.929323\pi\) | |||||||
\(620\) | 6.41743 | + | 12.1046i | 0.257730 | + | 0.486130i | ||||
\(621\) | 6.74630 | + | 2.27309i | 0.270720 | + | 0.0912161i | ||||
\(622\) | −16.2350 | − | 19.1133i | −0.650963 | − | 0.766373i | ||||
\(623\) | 9.38615 | + | 4.34249i | 0.376048 | + | 0.173978i | ||||
\(624\) | −0.0398717 | + | 0.0184466i | −0.00159614 | + | 0.000738455i | ||||
\(625\) | 28.0033 | − | 32.9681i | 1.12013 | − | 1.31872i | ||||
\(626\) | −11.7553 | + | 7.07291i | −0.469835 | + | 0.282690i | ||||
\(627\) | −4.76438 | − | 0.518157i | −0.190271 | − | 0.0206932i | ||||
\(628\) | −3.18741 | + | 19.4423i | −0.127191 | + | 0.775833i | ||||
\(629\) | −21.2926 | − | 20.1695i | −0.848993 | − | 0.804209i | ||||
\(630\) | −2.89087 | + | 0.974049i | −0.115175 | + | 0.0388070i | ||||
\(631\) | −2.85246 | − | 1.71627i | −0.113555 | − | 0.0683237i | 0.457643 | − | 0.889136i | \(-0.348694\pi\) |
−0.571198 | + | 0.820812i | \(0.693521\pi\) | |||||||
\(632\) | −0.108559 | − | 0.0825243i | −0.00431824 | − | 0.00328264i | ||||
\(633\) | 9.10666 | − | 22.8560i | 0.361957 | − | 0.908444i | ||||
\(634\) | −9.23297 | + | 13.6176i | −0.366688 | + | 0.540825i | ||||
\(635\) | 0.0479946 | + | 0.292754i | 0.00190461 | + | 0.0116176i | ||||
\(636\) | 0.473270 | + | 8.72895i | 0.0187664 | + | 0.346125i | ||||
\(637\) | −0.275584 | − | 0.0606606i | −0.0109190 | − | 0.00240346i | ||||
\(638\) | 2.53547 | + | 6.36355i | 0.100380 | + | 0.251935i | ||||
\(639\) | −4.21036 | + | 15.1644i | −0.166559 | + | 0.599893i | ||||
\(640\) | −0.217445 | + | 4.01054i | −0.00859527 | + | 0.158530i | ||||
\(641\) | 5.99382 | − | 0.651868i | 0.236742 | − | 0.0257472i | 0.0110211 | − | 0.999939i | \(-0.496492\pi\) |
0.225721 | + | 0.974192i | \(0.427526\pi\) | |||||||
\(642\) | −0.120333 | + | 0.0914747i | −0.00474916 | + | 0.00361022i | ||||
\(643\) | 3.76525 | + | 13.5612i | 0.148487 | + | 0.534802i | 0.999946 | + | 0.0103812i | \(0.00330448\pi\) |
−0.851459 | + | 0.524421i | \(0.824282\pi\) | |||||||
\(644\) | −5.28059 | + | 1.16234i | −0.208084 | + | 0.0458028i | ||||
\(645\) | 11.5762 | + | 17.0737i | 0.455814 | + | 0.672275i | ||||
\(646\) | 19.7013 | − | 18.6621i | 0.775139 | − | 0.734251i | ||||
\(647\) | 10.8715 | − | 20.5058i | 0.427402 | − | 0.806165i | −0.572504 | − | 0.819902i | \(-0.694028\pi\) |
0.999906 | + | 0.0137370i | \(0.00437276\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 5.96780 | + | 1.70464i | 0.234257 | + | 0.0669129i | ||||
\(650\) | −0.489038 | −0.0191816 | ||||||||
\(651\) | 1.21356 | − | 2.28902i | 0.0475631 | − | 0.0897136i | ||||
\(652\) | −8.88891 | + | 8.42002i | −0.348117 | + | 0.329754i | ||||
\(653\) | 24.8816 | + | 36.6976i | 0.973692 | + | 1.43609i | 0.898527 | + | 0.438918i | \(0.144638\pi\) |
0.0751651 | + | 0.997171i | \(0.476052\pi\) | |||||||
\(654\) | −4.89705 | + | 1.07792i | −0.191490 | + | 0.0421501i | ||||
\(655\) | 16.1904 | + | 58.3125i | 0.632610 | + | 2.27846i | ||||
\(656\) | −3.19186 | + | 2.42639i | −0.124621 | + | 0.0947345i | ||||
\(657\) | −5.35731 | + | 0.582643i | −0.209009 | + | 0.0227311i | ||||
\(658\) | −0.197169 | + | 3.63658i | −0.00768646 | + | 0.141768i | ||||
\(659\) | 11.5902 | − | 41.7441i | 0.451490 | − | 1.62612i | −0.291327 | − | 0.956624i | \(-0.594097\pi\) |
0.742816 | − | 0.669495i | \(-0.233490\pi\) | |||||||
\(660\) | 1.20122 | + | 3.01484i | 0.0467575 | + | 0.117352i | ||||
\(661\) | −33.5437 | − | 7.38352i | −1.30470 | − | 0.287186i | −0.492369 | − | 0.870386i | \(-0.663869\pi\) |
−0.812328 | + | 0.583201i | \(0.801800\pi\) | |||||||
\(662\) | 0.690342 | + | 12.7326i | 0.0268309 | + | 0.494867i | ||||
\(663\) | −0.0325187 | − | 0.198356i | −0.00126292 | − | 0.00770349i | ||||
\(664\) | −2.07739 | + | 3.06392i | −0.0806184 | + | 0.118903i | ||||
\(665\) | −6.69705 | + | 16.8083i | −0.259700 | + | 0.651799i | ||||
\(666\) | 5.10314 | + | 3.87931i | 0.197743 | + | 0.150320i | ||||
\(667\) | −51.7130 | − | 31.1147i | −2.00234 | − | 1.20477i | ||||
\(668\) | 5.64545 | − | 1.90217i | 0.218429 | − | 0.0735973i | ||||
\(669\) | 2.98129 | + | 2.82403i | 0.115263 | + | 0.109183i | ||||
\(670\) | −4.65722 | + | 28.4078i | −0.179924 | + | 1.09749i | ||||
\(671\) | 2.61644 | + | 0.284555i | 0.101006 | + | 0.0109851i | ||||
\(672\) | 0.650801 | − | 0.391574i | 0.0251052 | − | 0.0151053i | ||||
\(673\) | −7.96116 | + | 9.37260i | −0.306880 | + | 0.361287i | −0.893885 | − | 0.448296i | \(-0.852031\pi\) |
0.587005 | + | 0.809583i | \(0.300307\pi\) | |||||||
\(674\) | −17.8333 | + | 8.25058i | −0.686915 | + | 0.317801i | ||||
\(675\) | −10.1028 | − | 4.67407i | −0.388859 | − | 0.179905i | ||||
\(676\) | −8.41477 | − | 9.90664i | −0.323645 | − | 0.381024i | ||||
\(677\) | −33.2894 | − | 11.2165i | −1.27942 | − | 0.431086i | −0.404135 | − | 0.914699i | \(-0.632427\pi\) |
−0.875281 | + | 0.483614i | \(0.839324\pi\) | |||||||
\(678\) | −6.72303 | − | 12.6810i | −0.258197 | − | 0.487010i | ||||
\(679\) | −0.993812 | − | 1.87453i | −0.0381390 | − | 0.0719378i | ||||
\(680\) | −17.4145 | − | 5.86763i | −0.667816 | − | 0.225013i | ||||
\(681\) | −14.8625 | − | 17.4975i | −0.569533 | − | 0.670506i | ||||
\(682\) | −2.50149 | − | 1.15731i | −0.0957870 | − | 0.0443158i | ||||
\(683\) | −40.2238 | + | 18.6095i | −1.53912 | + | 0.712074i | −0.992147 | − | 0.125076i | \(-0.960083\pi\) |
−0.546975 | + | 0.837149i | \(0.684221\pi\) | |||||||
\(684\) | −3.83975 | + | 4.52051i | −0.146817 | + | 0.172846i | ||||
\(685\) | −43.3506 | + | 26.0832i | −1.65634 | + | 0.996588i | ||||
\(686\) | 10.1354 | + | 1.10229i | 0.386971 | + | 0.0420856i | ||||
\(687\) | 0.895764 | − | 5.46392i | 0.0341755 | − | 0.208461i | ||||
\(688\) | −3.72867 | − | 3.53198i | −0.142154 | − | 0.134655i | ||||
\(689\) | 0.363940 | − | 0.122626i | 0.0138650 | − | 0.00467167i | ||||
\(690\) | −24.4999 | − | 14.7411i | −0.932696 | − | 0.561185i | ||||
\(691\) | 25.1063 | + | 19.0853i | 0.955090 | + | 0.726040i | 0.961748 | − | 0.273937i | \(-0.0883261\pi\) |
−0.00665773 | + | 0.999978i | \(0.502119\pi\) | |||||||
\(692\) | 6.62424 | − | 16.6256i | 0.251816 | − | 0.632010i | ||||
\(693\) | 0.344403 | − | 0.507957i | 0.0130828 | − | 0.0192957i | ||||
\(694\) | 3.70234 | + | 22.5833i | 0.140539 | + | 0.857250i | ||||
\(695\) | 2.70998 | + | 49.9827i | 0.102795 | + | 1.89595i | ||||
\(696\) | 8.27944 | + | 1.82244i | 0.313831 | + | 0.0690795i | ||||
\(697\) | −6.78993 | − | 17.0415i | −0.257187 | − | 0.645491i | ||||
\(698\) | −5.08149 | + | 18.3019i | −0.192337 | + | 0.692736i | ||||
\(699\) | −1.45632 | + | 26.8603i | −0.0550832 | + | 1.01595i | ||||
\(700\) | 8.40519 | − | 0.914119i | 0.317686 | − | 0.0345505i | ||||
\(701\) | −4.61260 | + | 3.50641i | −0.174215 | + | 0.132435i | −0.688648 | − | 0.725096i | \(-0.741796\pi\) |
0.514433 | + | 0.857531i | \(0.328002\pi\) | |||||||
\(702\) | 0.0117531 | + | 0.0423307i | 0.000443591 | + | 0.00159767i | ||||
\(703\) | 37.1312 | − | 8.17321i | 1.40043 | − | 0.308258i | ||||
\(704\) | −0.453448 | − | 0.668785i | −0.0170900 | − | 0.0252058i | ||||
\(705\) | −13.9818 | + | 13.2443i | −0.526586 | + | 0.498809i | ||||
\(706\) | −2.59544 | + | 4.89553i | −0.0976808 | + | 0.184246i | ||||
\(707\) | −2.84223 | −0.106893 | ||||||||
\(708\) | 5.89093 | − | 4.92919i | 0.221395 | − | 0.185250i | ||||
\(709\) | −39.4733 | −1.48245 | −0.741226 | − | 0.671255i | \(-0.765755\pi\) | ||||
−0.741226 | + | 0.671255i | \(0.765755\pi\) | |||||||
\(710\) | 29.6084 | − | 55.8473i | 1.11118 | − | 2.09591i | ||||
\(711\) | −0.0990001 | + | 0.0937778i | −0.00371279 | + | 0.00351694i | ||||
\(712\) | −7.64139 | − | 11.2702i | −0.286373 | − | 0.422369i | ||||
\(713\) | 23.7158 | − | 5.22025i | 0.888165 | − | 0.195500i | ||||
\(714\) | 0.929676 | + | 3.34839i | 0.0347922 | + | 0.125310i | ||||
\(715\) | 0.113502 | − | 0.0862822i | 0.00424475 | − | 0.00322677i | ||||
\(716\) | −21.1648 | + | 2.30181i | −0.790966 | + | 0.0860228i | ||||
\(717\) | 1.39873 | − | 25.7980i | 0.0522364 | − | 0.963443i | ||||
\(718\) | −8.00835 | + | 28.8435i | −0.298869 | + | 1.07643i | ||||
\(719\) | −10.6981 | − | 26.8503i | −0.398973 | − | 1.00135i | −0.981998 | − | 0.188892i | \(-0.939511\pi\) |
0.583025 | − | 0.812454i | \(-0.301869\pi\) | |||||||
\(720\) | 3.92252 | + | 0.863413i | 0.146184 | + | 0.0321775i | ||||
\(721\) | −0.347967 | − | 6.41788i | −0.0129590 | − | 0.239014i | ||||
\(722\) | 2.61742 | + | 15.9656i | 0.0974105 | + | 0.594178i | ||||
\(723\) | −7.57339 | + | 11.1699i | −0.281658 | + | 0.415414i | ||||
\(724\) | 6.52170 | − | 16.3682i | 0.242377 | − | 0.608321i | ||||
\(725\) | 75.1276 | + | 57.1105i | 2.79017 | + | 2.12103i | ||||
\(726\) | 8.86600 | + | 5.33449i | 0.329048 | + | 0.197982i | ||||
\(727\) | 26.5836 | − | 8.95705i | 0.985930 | − | 0.332198i | 0.220266 | − | 0.975440i | \(-0.429307\pi\) |
0.765664 | + | 0.643241i | \(0.222411\pi\) | |||||||
\(728\) | −0.0242245 | − | 0.0229467i | −0.000897821 | − | 0.000850461i | ||||
\(729\) | −0.161782 | + | 0.986827i | −0.00599193 | + | 0.0365491i | ||||
\(730\) | 21.5173 | + | 2.34014i | 0.796389 | + | 0.0866126i | ||||
\(731\) | 20.1349 | − | 12.1148i | 0.744717 | − | 0.448081i | ||||
\(732\) | 2.10867 | − | 2.48251i | 0.0779385 | − | 0.0917563i | ||||
\(733\) | 4.22415 | − | 1.95430i | 0.156023 | − | 0.0721837i | −0.340324 | − | 0.940308i | \(-0.610537\pi\) |
0.496346 | + | 0.868125i | \(0.334675\pi\) | |||||||
\(734\) | −10.8516 | − | 5.02050i | −0.400541 | − | 0.185310i | ||||
\(735\) | 16.7013 | + | 19.6623i | 0.616036 | + | 0.725254i | ||||
\(736\) | 6.74630 | + | 2.27309i | 0.248672 | + | 0.0837874i | ||||
\(737\) | −2.71269 | − | 5.11668i | −0.0999234 | − | 0.188476i | ||||
\(738\) | 1.87804 | + | 3.54236i | 0.0691316 | + | 0.130396i | ||||
\(739\) | 12.3556 | + | 4.16308i | 0.454507 | + | 0.153141i | 0.537238 | − | 0.843431i | \(-0.319468\pi\) |
−0.0827310 | + | 0.996572i | \(0.526364\pi\) | |||||||
\(740\) | −16.6678 | − | 19.6228i | −0.612719 | − | 0.721348i | ||||
\(741\) | 0.236485 | + | 0.109410i | 0.00868751 | + | 0.00401927i | ||||
\(742\) | −6.02590 | + | 2.78788i | −0.221218 | + | 0.102346i | ||||
\(743\) | −18.5914 | + | 21.8875i | −0.682054 | + | 0.802976i | −0.988868 | − | 0.148793i | \(-0.952461\pi\) |
0.306814 | + | 0.951769i | \(0.400737\pi\) | |||||||
\(744\) | −2.92284 | + | 1.75861i | −0.107156 | + | 0.0644739i | ||||
\(745\) | 29.9089 | + | 3.25278i | 1.09578 | + | 0.119173i | ||||
\(746\) | 0.933918 | − | 5.69665i | 0.0341932 | − | 0.208569i | ||||
\(747\) | 2.68747 | + | 2.54571i | 0.0983295 | + | 0.0931427i | ||||
\(748\) | 3.50341 | − | 1.18044i | 0.128097 | − | 0.0431610i | ||||
\(749\) | −0.0983714 | − | 0.0591881i | −0.00359441 | − | 0.00216269i | ||||
\(750\) | 19.6058 | + | 14.9039i | 0.715901 | + | 0.544214i | ||||
\(751\) | 3.42389 | − | 8.59331i | 0.124939 | − | 0.313574i | −0.853181 | − | 0.521616i | \(-0.825330\pi\) |
0.978120 | + | 0.208041i | \(0.0667089\pi\) | |||||||
\(752\) | 2.69090 | − | 3.96878i | 0.0981271 | − | 0.144727i | ||||
\(753\) | −2.14788 | − | 13.1015i | −0.0782731 | − | 0.477445i | ||||
\(754\) | −0.0201635 | − | 0.371894i | −0.000734312 | − | 0.0135436i | ||||
\(755\) | −48.2523 | − | 10.6211i | −1.75608 | − | 0.386543i | ||||
\(756\) | −0.281128 | − | 0.705577i | −0.0102245 | − | 0.0256616i | ||||
\(757\) | −1.24378 | + | 4.47968i | −0.0452059 | + | 0.162817i | −0.982708 | − | 0.185163i | \(-0.940719\pi\) |
0.937502 | + | 0.347980i | \(0.113132\pi\) | |||||||
\(758\) | −0.0437525 | + | 0.806967i | −0.00158916 | + | 0.0293104i | ||||
\(759\) | 5.71851 | − | 0.621925i | 0.207569 | − | 0.0225744i | ||||
\(760\) | 18.9646 | − | 14.4165i | 0.687918 | − | 0.522942i | ||||
\(761\) | −4.04881 | − | 14.5825i | −0.146769 | − | 0.528616i | −0.999975 | − | 0.00704117i | \(-0.997759\pi\) |
0.853206 | − | 0.521574i | \(-0.174655\pi\) | |||||||
\(762\) | −0.0721354 | + | 0.0158782i | −0.00261319 | + | 0.000575207i | ||||
\(763\) | −2.13725 | − | 3.15221i | −0.0773738 | − | 0.114118i | ||||
\(764\) | 3.24744 | − | 3.07614i | 0.117488 | − | 0.111291i | ||||
\(765\) | −8.60769 | + | 16.2358i | −0.311212 | + | 0.587007i | ||||
\(766\) | 2.02533 | 0.0731781 | ||||||||
\(767\) | −0.277893 | − | 0.191434i | −0.0100341 | − | 0.00691230i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 16.9242 | − | 31.9224i | 0.610302 | − | 1.15115i | −0.365152 | − | 0.930948i | \(-0.618983\pi\) |
0.975454 | − | 0.220204i | \(-0.0706723\pi\) | |||||||
\(770\) | −1.78951 | + | 1.69511i | −0.0644893 | + | 0.0610875i | ||||
\(771\) | −16.8361 | − | 24.8313i | −0.606336 | − | 0.894278i | ||||
\(772\) | −23.5009 | + | 5.17295i | −0.845817 | + | 0.186178i | ||||
\(773\) | 5.44677 | + | 19.6175i | 0.195907 | + | 0.705592i | 0.994593 | + | 0.103845i | \(0.0331146\pi\) |
−0.798687 | + | 0.601747i | \(0.794472\pi\) | |||||||
\(774\) | −4.08868 | + | 3.10814i | −0.146965 | + | 0.111720i | ||||
\(775\) | −37.7489 | + | 4.10544i | −1.35598 | + | 0.147472i | ||||
\(776\) | −0.151234 | + | 2.78935i | −0.00542898 | + | 0.100132i | ||||
\(777\) | −1.30252 | + | 4.69124i | −0.0467275 | + | 0.168297i | ||||
\(778\) | −4.12060 | − | 10.3419i | −0.147731 | − | 0.370776i | ||||
\(779\) | 23.2245 | + | 5.11209i | 0.832103 | + | 0.183160i | ||||
\(780\) | −0.00955281 | − | 0.176191i | −0.000342045 | − | 0.00630866i | ||||
\(781\) | 2.05731 | + | 12.5490i | 0.0736163 | + | 0.449039i | ||||
\(782\) | −18.2787 | + | 26.9591i | −0.653646 | + | 0.964056i | ||||
\(783\) | 3.13790 | − | 7.87553i | 0.112139 | − | 0.281448i | ||||
\(784\) | −5.11341 | − | 3.88711i | −0.182622 | − | 0.138825i | ||||
\(785\) | −67.8040 | − | 40.7963i | −2.42003 | − | 1.45608i | ||||
\(786\) | −14.2790 | + | 4.81114i | −0.509314 | + | 0.171608i | ||||
\(787\) | 0.100266 | + | 0.0949765i | 0.00357408 | + | 0.00338555i | 0.689484 | − | 0.724301i | \(-0.257837\pi\) |
−0.685910 | + | 0.727686i | \(0.740596\pi\) | |||||||
\(788\) | 3.25308 | − | 19.8429i | 0.115886 | − | 0.706874i | ||||
\(789\) | −12.4246 | − | 1.35125i | −0.442326 | − | 0.0481059i | ||||
\(790\) | 0.469299 | − | 0.282368i | 0.0166969 | − | 0.0100462i | ||||
\(791\) | 7.05739 | − | 8.30860i | 0.250932 | − | 0.295420i | ||||
\(792\) | −0.733335 | + | 0.339277i | −0.0260579 | + | 0.0120557i | ||||
\(793\) | −0.129870 | − | 0.0600842i | −0.00461182 | − | 0.00213365i | ||||
\(794\) | 16.9544 | + | 19.9603i | 0.601689 | + | 0.708363i | ||||
\(795\) | −33.2727 | − | 11.2109i | −1.18006 | − | 0.397609i | ||||
\(796\) | −6.27579 | − | 11.8374i | −0.222440 | − | 0.419566i | ||||
\(797\) | 2.68001 | + | 5.05504i | 0.0949309 | + | 0.179059i | 0.926430 | − | 0.376468i | \(-0.122862\pi\) |
−0.831499 | + | 0.555527i | \(0.812517\pi\) | |||||||
\(798\) | −4.26903 | − | 1.43840i | −0.151122 | − | 0.0509189i | ||||
\(799\) | 14.2029 | + | 16.7209i | 0.502461 | + | 0.591542i | ||||
\(800\) | −10.1028 | − | 4.67407i | −0.357189 | − | 0.165253i | ||||
\(801\) | −12.3580 | + | 5.71741i | −0.436648 | + | 0.202015i | ||||
\(802\) | 12.4649 | − | 14.6748i | 0.440151 | − | 0.518185i | ||||
\(803\) | −3.73103 | + | 2.24488i | −0.131665 | + | 0.0792202i | ||||
\(804\) | −7.12530 | − | 0.774923i | −0.251290 | − | 0.0273294i | ||||
\(805\) | 3.51339 | − | 21.4307i | 0.123831 | − | 0.755334i | ||||
\(806\) | 0.108796 | + | 0.103057i | 0.00383217 | + | 0.00363002i | ||||
\(807\) | −12.8114 | + | 4.31665i | −0.450981 | + | 0.151953i | ||||
\(808\) | 3.20647 | + | 1.92927i | 0.112803 | + | 0.0678715i | ||||
\(809\) | −21.3305 | − | 16.2150i | −0.749941 | − | 0.570090i | 0.158870 | − | 0.987300i | \(-0.449215\pi\) |
−0.908810 | + | 0.417210i | \(0.863008\pi\) | |||||||
\(810\) | 1.48663 | − | 3.73117i | 0.0522350 | − | 0.131100i | ||||
\(811\) | 21.7838 | − | 32.1287i | 0.764933 | − | 1.12819i | −0.223227 | − | 0.974766i | \(-0.571659\pi\) |
0.988160 | − | 0.153425i | \(-0.0490304\pi\) | |||||||
\(812\) | 1.04171 | + | 6.35412i | 0.0365567 | + | 0.222986i | ||||
\(813\) | 0.639537 | + | 11.7956i | 0.0224295 | + | 0.413689i | ||||
\(814\) | 5.05847 | + | 1.11345i | 0.177299 | + | 0.0390265i | ||||
\(815\) | −18.2020 | − | 45.6835i | −0.637587 | − | 1.60022i | ||||
\(816\) | 1.22403 | − | 4.40855i | 0.0428496 | − | 0.154330i | ||||
\(817\) | −1.64918 | + | 30.4174i | −0.0576976 | + | 1.06417i | ||||
\(818\) | −6.31783 | + | 0.687106i | −0.220898 | + | 0.0240241i | ||||
\(819\) | −0.0265635 | + | 0.0201931i | −0.000928204 | + | 0.000705602i | ||||
\(820\) | −4.30814 | − | 15.5165i | −0.150447 | − | 0.541860i | ||||
\(821\) | −16.1248 | + | 3.54935i | −0.562761 | + | 0.123873i | −0.487235 | − | 0.873271i | \(-0.661995\pi\) |
−0.0755258 | + | 0.997144i | \(0.524064\pi\) | |||||||
\(822\) | −7.06895 | − | 10.4259i | −0.246558 | − | 0.363646i | ||||
\(823\) | −23.7112 | + | 22.4605i | −0.826522 | + | 0.782923i | −0.978671 | − | 0.205434i | \(-0.934139\pi\) |
0.152149 | + | 0.988358i | \(0.451381\pi\) | |||||||
\(824\) | −3.96382 | + | 7.47656i | −0.138086 | + | 0.260458i | ||||
\(825\) | −8.99457 | −0.313151 | ||||||||
\(826\) | 5.13403 | + | 2.77078i | 0.178636 | + | 0.0964077i | ||||
\(827\) | 28.4707 | 0.990023 | 0.495012 | − | 0.868886i | \(-0.335164\pi\) | ||||
0.495012 | + | 0.868886i | \(0.335164\pi\) | |||||||
\(828\) | 3.33458 | − | 6.28968i | 0.115885 | − | 0.218582i | ||||
\(829\) | 26.1676 | − | 24.7873i | 0.908839 | − | 0.860898i | −0.0819052 | − | 0.996640i | \(-0.526100\pi\) |
0.990744 | + | 0.135742i | \(0.0433418\pi\) | |||||||
\(830\) | −8.34368 | − | 12.3060i | −0.289614 | − | 0.427148i | ||||
\(831\) | −17.3183 | + | 3.81206i | −0.600767 | + | 0.132239i | ||||
\(832\) | 0.0117531 | + | 0.0423307i | 0.000407465 | + | 0.00146755i | ||||
\(833\) | 23.3955 | − | 17.7848i | 0.810606 | − | 0.616207i | ||||
\(834\) | −12.3898 | + | 1.34747i | −0.429023 | + | 0.0466591i | ||||
\(835\) | −1.29538 | + | 23.8919i | −0.0448286 | + | 0.826815i | ||||
\(836\) | −1.28212 | + | 4.61779i | −0.0443431 | + | 0.159709i | ||||
\(837\) | 1.26258 | + | 3.16885i | 0.0436413 | + | 0.109531i | ||||
\(838\) | 33.2887 | + | 7.32739i | 1.14994 | + | 0.253120i | ||||
\(839\) | −1.31180 | − | 24.1947i | −0.0452882 | − | 0.835293i | −0.929639 | − | 0.368470i | \(-0.879882\pi\) |
0.884351 | − | 0.466822i | \(-0.154601\pi\) | |||||||
\(840\) | 0.493526 | + | 3.01037i | 0.0170283 | + | 0.103868i | ||||
\(841\) | −24.0583 | + | 35.4833i | −0.829596 | + | 1.22356i | ||||
\(842\) | −7.44995 | + | 18.6980i | −0.256742 | + | 0.644375i | ||||
\(843\) | −7.08601 | − | 5.38665i | −0.244055 | − | 0.185526i | ||||
\(844\) | −21.0816 | − | 12.6844i | −0.725659 | − | 0.436614i | ||||
\(845\) | 49.4730 | − | 16.6694i | 1.70192 | − | 0.573444i | ||||
\(846\) | −3.48116 | − | 3.29753i | −0.119685 | − | 0.113371i | ||||
\(847\) | −1.27142 | + | 7.75532i | −0.0436865 | + | 0.266476i | ||||
\(848\) | 8.69052 | + | 0.945151i | 0.298434 | + | 0.0324566i | ||||
\(849\) | −13.9298 | + | 8.38127i | −0.478069 | + | 0.287644i | ||||
\(850\) | 32.9721 | − | 38.8177i | 1.13093 | − | 1.33144i | ||||
\(851\) | −41.4164 | + | 19.1613i | −1.41974 | + | 0.656840i | ||||
\(852\) | 14.2834 | + | 6.60822i | 0.489342 | + | 0.226394i | ||||
\(853\) | 18.5596 | + | 21.8500i | 0.635468 | + | 0.748131i | 0.981787 | − | 0.189986i | \(-0.0608443\pi\) |
−0.346319 | + | 0.938117i | \(0.612568\pi\) | |||||||
\(854\) | 2.34441 | + | 0.789924i | 0.0802241 | + | 0.0270306i | ||||
\(855\) | −11.1585 | − | 21.0471i | −0.381612 | − | 0.719796i | ||||
\(856\) | 0.0708020 | + | 0.133547i | 0.00241996 | + | 0.00456453i | ||||
\(857\) | 16.3571 | + | 5.51134i | 0.558747 | + | 0.188264i | 0.584484 | − | 0.811405i | \(-0.301297\pi\) |
−0.0257374 | + | 0.999669i | \(0.508193\pi\) | |||||||
\(858\) | 0.0229808 | + | 0.0270551i | 0.000784551 | + | 0.000923644i | ||||
\(859\) | −35.3209 | − | 16.3412i | −1.20513 | − | 0.557555i | −0.288577 | − | 0.957457i | \(-0.593182\pi\) |
−0.916558 | + | 0.399902i | \(0.869044\pi\) | |||||||
\(860\) | 18.7216 | − | 8.66152i | 0.638400 | − | 0.295355i | ||||
\(861\) | −1.97144 | + | 2.32096i | −0.0671864 | + | 0.0790980i | ||||
\(862\) | −25.7315 | + | 15.4821i | −0.876419 | + | 0.527324i | ||||
\(863\) | −50.2110 | − | 5.46077i | −1.70920 | − | 0.185887i | −0.799362 | − | 0.600849i | \(-0.794829\pi\) |
−0.909838 | + | 0.414963i | \(0.863795\pi\) | |||||||
\(864\) | −0.161782 | + | 0.986827i | −0.00550394 | + | 0.0335725i | ||||
\(865\) | 52.1851 | + | 49.4323i | 1.77434 | + | 1.68075i | ||||
\(866\) | 31.3225 | − | 10.5538i | 1.06438 | − | 0.358631i | ||||
\(867\) | 3.37053 | + | 2.02798i | 0.114469 | + | 0.0688738i | ||||
\(868\) | −2.06253 | − | 1.56789i | −0.0700068 | − | 0.0532178i | ||||
\(869\) | −0.0407835 | + | 0.102359i | −0.00138349 | + | 0.00347229i | ||||
\(870\) | −19.1083 | + | 28.1827i | −0.647833 | + | 0.955482i | ||||
\(871\) | 0.0509411 | + | 0.310727i | 0.00172607 | + | 0.0105286i | ||||
\(872\) | 0.271468 | + | 5.00693i | 0.00919306 | + | 0.169556i | ||||
\(873\) | 2.72813 | + | 0.600508i | 0.0923333 | + | 0.0203241i | ||||
\(874\) | −15.6286 | − | 39.2248i | −0.528645 | − | 1.32680i | ||||
\(875\) | −5.00414 | + | 18.0233i | −0.169171 | + | 0.609298i | ||||
\(876\) | −0.291749 | + | 5.38100i | −0.00985729 | + | 0.181807i | ||||
\(877\) | −41.5560 | + | 4.51949i | −1.40325 | + | 0.152612i | −0.778220 | − | 0.627992i | \(-0.783877\pi\) |
−0.625026 | + | 0.780604i | \(0.714912\pi\) | |||||||
\(878\) | −20.8555 | + | 15.8539i | −0.703839 | + | 0.535045i | ||||
\(879\) | 3.16685 | + | 11.4060i | 0.106815 | + | 0.384714i | ||||
\(880\) | 3.16946 | − | 0.697651i | 0.106842 | − | 0.0235178i | ||||
\(881\) | −24.9617 | − | 36.8157i | −0.840980 | − | 1.24035i | −0.968623 | − | 0.248533i | \(-0.920052\pi\) |
0.127643 | − | 0.991820i | \(-0.459259\pi\) | |||||||
\(882\) | −4.66316 | + | 4.41718i | −0.157017 | + | 0.148734i | ||||
\(883\) | −3.83994 | + | 7.24290i | −0.129224 | + | 0.243743i | −0.939678 | − | 0.342059i | \(-0.888876\pi\) |
0.810454 | + | 0.585802i | \(0.199220\pi\) | |||||||
\(884\) | −0.201003 | −0.00676048 | ||||||||
\(885\) | 9.63398 | + | 29.3079i | 0.323843 | + | 0.985176i | ||||
\(886\) | −19.5568 | −0.657022 | ||||||||
\(887\) | 2.29222 | − | 4.32358i | 0.0769652 | − | 0.145172i | −0.842043 | − | 0.539411i | \(-0.818647\pi\) |
0.919008 | + | 0.394239i | \(0.128992\pi\) | |||||||
\(888\) | 4.65380 | − | 4.40831i | 0.156171 | − | 0.147933i | ||||
\(889\) | −0.0314826 | − | 0.0464333i | −0.00105589 | − | 0.00155732i | ||||
\(890\) | 53.4110 | − | 11.7566i | 1.79034 | − | 0.394084i | ||||
\(891\) | 0.216167 | + | 0.778563i | 0.00724187 | + | 0.0260828i | ||||
\(892\) | 3.26915 | − | 2.48514i | 0.109459 | − | 0.0832086i | ||||
\(893\) | −28.2733 | + | 3.07491i | −0.946131 | + | 0.102898i | ||||
\(894\) | −0.405530 | + | 7.47956i | −0.0135629 | + | 0.250154i | ||||
\(895\) | 22.8759 | − | 82.3914i | 0.764656 | − | 2.75404i | ||||
\(896\) | −0.281128 | − | 0.705577i | −0.00939182 | − | 0.0235717i | ||||
\(897\) | −0.305439 | − | 0.0672321i | −0.0101983 | − | 0.00224481i | ||||
\(898\) | −1.44763 | − | 26.6999i | −0.0483079 | − | 0.890987i | ||||
\(899\) | −4.67844 | − | 28.5372i | −0.156035 | − | 0.951770i | ||||
\(900\) | −6.24696 | + | 9.21357i | −0.208232 | + | 0.307119i | ||||
\(901\) | −14.8042 | + | 37.1557i | −0.493199 | + | 1.23784i | ||||
\(902\) | 2.57907 | + | 1.96056i | 0.0858737 | + | 0.0652795i | ||||
\(903\) | −3.34247 | − | 2.01110i | −0.111231 | − | 0.0669252i | ||||
\(904\) | −13.6016 | + | 4.58291i | −0.452383 | + | 0.152425i | ||||
\(905\) | 51.3773 | + | 48.6671i | 1.70784 | + | 1.61775i | ||||
\(906\) | 1.99013 | − | 12.1393i | 0.0661178 | − | 0.403301i | ||||
\(907\) | −2.80964 | − | 0.305567i | −0.0932926 | − | 0.0101462i | 0.0613537 | − | 0.998116i | \(-0.480458\pi\) |
−0.154646 | + | 0.987970i | \(0.549424\pi\) | |||||||
\(908\) | −19.6715 | + | 11.8359i | −0.652821 | + | 0.392789i | ||||
\(909\) | 2.42260 | − | 2.85211i | 0.0803527 | − | 0.0945985i | ||||
\(910\) | 0.121631 | − | 0.0562725i | 0.00403203 | − | 0.00186541i | ||||
\(911\) | −35.8225 | − | 16.5733i | −1.18685 | − | 0.549097i | −0.275731 | − | 0.961235i | \(-0.588920\pi\) |
−0.911121 | + | 0.412138i | \(0.864782\pi\) | |||||||
\(912\) | 3.83975 | + | 4.52051i | 0.127147 | + | 0.149689i | ||||
\(913\) | 2.83452 | + | 0.955060i | 0.0938089 | + | 0.0316079i | ||||
\(914\) | −0.345317 | − | 0.651337i | −0.0114221 | − | 0.0215443i | ||||
\(915\) | 6.12786 | + | 11.5584i | 0.202581 | + | 0.382108i | ||||
\(916\) | −5.24702 | − | 1.76793i | −0.173366 | − | 0.0584140i | ||||
\(917\) | −7.40885 | − | 8.72237i | −0.244662 | − | 0.288038i | ||||
\(918\) | −4.15245 | − | 1.92113i | −0.137051 | − | 0.0634067i | ||||
\(919\) | −31.2755 | + | 14.4696i | −1.03168 | + | 0.477308i | −0.861315 | − | 0.508072i | \(-0.830358\pi\) |
−0.170370 | + | 0.985380i | \(0.554496\pi\) | |||||||
\(920\) | −18.5106 | + | 21.7923i | −0.610275 | + | 0.718472i | ||||
\(921\) | −6.70371 | + | 4.03349i | −0.220895 | + | 0.132908i | ||||
\(922\) | 18.9848 | + | 2.06472i | 0.625230 | + | 0.0679978i | ||||
\(923\) | 0.111857 | − | 0.682295i | 0.00368180 | − | 0.0224580i | ||||
\(924\) | −0.445547 | − | 0.422044i | −0.0146574 | − | 0.0138842i | ||||
\(925\) | 67.6214 | − | 22.7843i | 2.22338 | − | 0.749143i | ||||
\(926\) | −7.79507 | − | 4.69014i | −0.256162 | − | 0.154127i | ||||
\(927\) | 6.73679 | + | 5.12117i | 0.221265 | + | 0.168201i | ||||
\(928\) | 3.13790 | − | 7.87553i | 0.103007 | − | 0.258527i | ||||
\(929\) | 22.8918 | − | 33.7629i | 0.751055 | − | 1.10772i | −0.239539 | − | 0.970887i | \(-0.576996\pi\) |
0.990594 | − | 0.136836i | \(-0.0436935\pi\) | |||||||
\(930\) | −2.21649 | − | 13.5200i | −0.0726817 | − | 0.443339i | ||||
\(931\) | 2.06251 | + | 38.0408i | 0.0675960 | + | 1.24674i | ||||
\(932\) | 26.2709 | + | 5.78265i | 0.860531 | + | 0.189417i | ||||
\(933\) | 9.28222 | + | 23.2966i | 0.303886 | + | 0.762697i | ||||
\(934\) | −4.64270 | + | 16.7215i | −0.151914 | + | 0.547145i | ||||
\(935\) | −0.803879 | + | 14.8267i | −0.0262897 | + | 0.484884i | ||||
\(936\) | 0.0436745 | − | 0.00474989i | 0.00142755 | − | 0.000155255i | ||||
\(937\) | −37.4991 | + | 28.5061i | −1.22504 | + | 0.931252i | −0.999080 | − | 0.0428842i | \(-0.986345\pi\) |
−0.225961 | + | 0.974136i | \(0.572552\pi\) | |||||||
\(938\) | −1.45635 | − | 5.24531i | −0.0475516 | − | 0.171265i | ||||
\(939\) | 13.3983 | − | 2.94919i | 0.437237 | − | 0.0962432i | ||||
\(940\) | 10.8078 | + | 15.9403i | 0.352512 | + | 0.519916i | ||||
\(941\) | −7.79912 | + | 7.38772i | −0.254244 | + | 0.240833i | −0.804197 | − | 0.594363i | \(-0.797404\pi\) |
0.549953 | + | 0.835196i | \(0.314646\pi\) | |||||||
\(942\) | 9.22852 | − | 17.4068i | 0.300681 | − | 0.567145i | ||||
\(943\) | −28.5428 | −0.929481 | ||||||||
\(944\) | −3.91121 | − | 6.61078i | −0.127299 | − | 0.215163i | ||||
\(945\) | 3.05056 | 0.0992348 | ||||||||
\(946\) | −1.94385 | + | 3.66650i | −0.0632002 | + | 0.119208i | ||||
\(947\) | 25.5946 | − | 24.2445i | 0.831714 | − | 0.787842i | −0.147842 | − | 0.989011i | \(-0.547233\pi\) |
0.979556 | + | 0.201169i | \(0.0644742\pi\) | |||||||
\(948\) | 0.0765260 | + | 0.112867i | 0.00248545 | + | 0.00366576i | ||||
\(949\) | 0.231211 | − | 0.0508933i | 0.00750542 | − | 0.00165207i | ||||
\(950\) | 17.6633 | + | 63.6173i | 0.573072 | + | 2.06402i | ||||
\(951\) | 13.0978 | − | 9.95667i | 0.424725 | − | 0.322867i | ||||
\(952\) | 3.45468 | − | 0.375720i | 0.111967 | − | 0.0121771i | ||||
\(953\) | 1.00270 | − | 18.4937i | 0.0324805 | − | 0.599068i | −0.936308 | − | 0.351180i | \(-0.885781\pi\) |
0.968789 | − | 0.247889i | \(-0.0797367\pi\) | |||||||
\(954\) | 2.33867 | − | 8.42313i | 0.0757172 | − | 0.272709i | ||||
\(955\) | 6.64983 | + | 16.6898i | 0.215183 | + | 0.540070i | ||||
\(956\) | −25.2318 | − | 5.55395i | −0.816056 | − | 0.179628i | ||||
\(957\) | −0.370855 | − | 6.84001i | −0.0119880 | − | 0.221106i | ||||
\(958\) | 0.299200 | + | 1.82504i | 0.00966673 | + | 0.0589644i | ||||
\(959\) | 5.36902 | − | 7.91871i | 0.173375 | − | 0.255708i | ||||
\(960\) | 1.48663 | − | 3.73117i | 0.0479809 | − | 0.120423i | ||||
\(961\) | −15.4158 | − | 11.7188i | −0.497283 | − | 0.378025i | ||||
\(962\) | −0.241304 | − | 0.145188i | −0.00777994 | − | 0.00468103i | ||||
\(963\) | 0.143242 | − | 0.0482638i | 0.00461591 | − | 0.00155528i | ||||
\(964\) | 9.79753 | + | 9.28072i | 0.315557 | + | 0.298912i | ||||
\(965\) | 15.6361 | − | 95.3762i | 0.503345 | − | 3.07027i | ||||
\(966\) | 5.37530 | + | 0.584599i | 0.172948 | + | 0.0188092i | ||||
\(967\) | 22.8612 | − | 13.7552i | 0.735168 | − | 0.442336i | −0.0981203 | − | 0.995175i | \(-0.531283\pi\) |
0.833288 | + | 0.552839i | \(0.186455\pi\) | |||||||
\(968\) | 6.69858 | − | 7.88618i | 0.215300 | − | 0.253471i | ||||
\(969\) | −24.6289 | + | 11.3945i | −0.791193 | + | 0.366045i | ||||
\(970\) | −10.1827 | − | 4.71101i | −0.326946 | − | 0.151261i | ||||
\(971\) | 20.0431 | + | 23.5966i | 0.643215 | + | 0.757251i | 0.983071 | − | 0.183226i | \(-0.0586541\pi\) |
−0.339856 | + | 0.940478i | \(0.610378\pi\) | |||||||
\(972\) | 0.947653 | + | 0.319302i | 0.0303960 | + | 0.0102416i | ||||
\(973\) | −4.43386 | − | 8.36314i | −0.142143 | − | 0.268110i | ||||
\(974\) | 5.02423 | + | 9.47670i | 0.160987 | + | 0.303653i | ||||
\(975\) | 0.463438 | + | 0.156151i | 0.0148419 | + | 0.00500082i | ||||
\(976\) | −2.10867 | − | 2.48251i | −0.0674968 | − | 0.0794633i | ||||
\(977\) | 18.4543 | + | 8.53787i | 0.590406 | + | 0.273151i | 0.692259 | − | 0.721649i | \(-0.256615\pi\) |
−0.101854 | + | 0.994799i | \(0.532477\pi\) | |||||||
\(978\) | 11.1121 | − | 5.14102i | 0.355327 | − | 0.164392i | ||||
\(979\) | −7.12275 | + | 8.38555i | −0.227644 | + | 0.268003i | ||||
\(980\) | 22.1052 | − | 13.3003i | 0.706125 | − | 0.424862i | ||||
\(981\) | 4.98489 | + | 0.542139i | 0.159155 | + | 0.0173092i | ||||
\(982\) | −5.57488 | + | 34.0053i | −0.177902 | + | 1.08515i | ||||
\(983\) | 41.4549 | + | 39.2682i | 1.32221 | + | 1.25246i | 0.945298 | + | 0.326209i | \(0.105771\pi\) |
0.376908 | + | 0.926251i | \(0.376987\pi\) | |||||||
\(984\) | 3.79952 | − | 1.28021i | 0.121124 | − | 0.0408116i | ||||
\(985\) | 69.2010 | + | 41.6369i | 2.20493 | + | 1.32666i | ||||
\(986\) | 30.8788 | + | 23.4735i | 0.983382 | + | 0.747547i | ||||
\(987\) | 1.34801 | − | 3.38326i | 0.0429077 | − | 0.107690i | ||||
\(988\) | 0.146228 | − | 0.215670i | 0.00465212 | − | 0.00686136i | ||||
\(989\) | −5.91515 | − | 36.0808i | −0.188091 | − | 1.14730i | ||||
\(990\) | −0.175699 | − | 3.24057i | −0.00558408 | − | 0.102992i | ||||
\(991\) | 13.5625 | + | 2.98534i | 0.430828 | + | 0.0948323i | 0.425090 | − | 0.905151i | \(-0.360243\pi\) |
0.00573784 | + | 0.999984i | \(0.498174\pi\) | |||||||
\(992\) | 1.26258 | + | 3.16885i | 0.0400871 | + | 0.100611i | ||||
\(993\) | 3.41134 | − | 12.2865i | 0.108256 | − | 0.389901i | ||||
\(994\) | −0.647141 | + | 11.9358i | −0.0205261 | + | 0.378581i | ||||
\(995\) | 53.4971 | − | 5.81816i | 1.69597 | − | 0.184448i | ||||
\(996\) | 2.94696 | − | 2.24022i | 0.0933780 | − | 0.0709841i | ||||
\(997\) | −3.62722 | − | 13.0641i | −0.114875 | − | 0.413743i | 0.883643 | − | 0.468161i | \(-0.155083\pi\) |
−0.998518 | + | 0.0544181i | \(0.982670\pi\) | |||||||
\(998\) | 3.62485 | − | 0.797890i | 0.114743 | − | 0.0252568i | ||||
\(999\) | −3.59734 | − | 5.30568i | −0.113815 | − | 0.167864i |
(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 | 354.2.e.b.19.2 | ✓ | 56 | |
59.28 | even | 29 | inner | 354.2.e.b.205.2 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.19.2 | ✓ | 56 | 1.1 | even | 1 | trivial | |
354.2.e.b.205.2 | yes | 56 | 59.28 | even | 29 | inner |