Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(7,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.bf (of order \(66\), degree \(20\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(680\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 7.12 | ||
Character | \(\chi\) | \(=\) | 804.7 |
Dual form | 804.2.bf.b.115.12 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{66}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.745475 | − | 1.20178i | −0.527131 | − | 0.849784i | ||||
\(3\) | 0.959493 | + | 0.281733i | 0.553964 | + | 0.162658i | ||||
\(4\) | −0.888534 | + | 1.79179i | −0.444267 | + | 0.895895i | ||||
\(5\) | 3.24307 | + | 2.81014i | 1.45035 | + | 1.25673i | 0.909560 | + | 0.415573i | \(0.136419\pi\) |
0.540787 | + | 0.841160i | \(0.318127\pi\) | |||||||
\(6\) | −0.376699 | − | 1.36312i | −0.153787 | − | 0.556492i | ||||
\(7\) | −0.0543857 | + | 1.14170i | −0.0205559 | + | 0.431521i | 0.965008 | + | 0.262219i | \(0.0844543\pi\) |
−0.985564 | + | 0.169302i | \(0.945849\pi\) | |||||||
\(8\) | 2.81571 | − | 0.267916i | 0.995504 | − | 0.0947225i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | 0.959528 | − | 5.99234i | 0.303430 | − | 1.89494i | ||||
\(11\) | 3.42041 | + | 0.659230i | 1.03129 | + | 0.198765i | 0.676702 | − | 0.736257i | \(-0.263408\pi\) |
0.354590 | + | 0.935022i | \(0.384621\pi\) | |||||||
\(12\) | −1.35735 | + | 1.46888i | −0.391832 | + | 0.424029i | ||||
\(13\) | −0.0730411 | + | 0.182448i | −0.0202580 | + | 0.0506019i | −0.938152 | − | 0.346223i | \(-0.887464\pi\) |
0.917894 | + | 0.396825i | \(0.129888\pi\) | |||||||
\(14\) | 1.41261 | − | 0.785747i | 0.377535 | − | 0.210000i | ||||
\(15\) | 2.32000 | + | 3.60999i | 0.599021 | + | 0.932095i | ||||
\(16\) | −2.42102 | − | 3.18413i | −0.605254 | − | 0.796032i | ||||
\(17\) | −0.694936 | − | 0.975902i | −0.168547 | − | 0.236691i | 0.721660 | − | 0.692248i | \(-0.243380\pi\) |
−0.890207 | + | 0.455557i | \(0.849440\pi\) | |||||||
\(18\) | 0.0225958 | − | 1.41403i | 0.00532588 | − | 0.333291i | ||||
\(19\) | −4.64926 | + | 0.221471i | −1.06661 | + | 0.0508090i | −0.573539 | − | 0.819178i | \(-0.694430\pi\) |
−0.493074 | + | 0.869987i | \(0.664127\pi\) | |||||||
\(20\) | −7.91676 | + | 3.31400i | −1.77024 | + | 0.741033i | ||||
\(21\) | −0.373836 | + | 1.08013i | −0.0815777 | + | 0.235703i | ||||
\(22\) | −1.75758 | − | 4.60201i | −0.374718 | − | 0.981151i | ||||
\(23\) | −4.92953 | − | 5.16995i | −1.02788 | − | 1.07801i | −0.996915 | − | 0.0784877i | \(-0.974991\pi\) |
−0.0309637 | − | 0.999521i | \(-0.509858\pi\) | |||||||
\(24\) | 2.77713 | + | 0.536214i | 0.566880 | + | 0.109454i | ||||
\(25\) | 1.90907 | + | 13.2779i | 0.381814 | + | 2.65557i | ||||
\(26\) | 0.273712 | − | 0.0482313i | 0.0536793 | − | 0.00945893i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | −1.99736 | − | 1.11188i | −0.377465 | − | 0.210126i | ||||
\(29\) | 2.10724 | + | 3.64985i | 0.391305 | + | 0.677760i | 0.992622 | − | 0.121251i | \(-0.0386905\pi\) |
−0.601317 | + | 0.799011i | \(0.705357\pi\) | |||||||
\(30\) | 2.60890 | − | 5.47928i | 0.476317 | − | 1.00037i | ||||
\(31\) | 5.41646 | − | 2.16843i | 0.972826 | − | 0.389461i | 0.169848 | − | 0.985470i | \(-0.445672\pi\) |
0.802977 | + | 0.596010i | \(0.203248\pi\) | |||||||
\(32\) | −2.02180 | + | 5.28321i | −0.357408 | + | 0.933948i | ||||
\(33\) | 3.09613 | + | 1.59617i | 0.538967 | + | 0.277857i | ||||
\(34\) | −0.654758 | + | 1.56267i | −0.112290 | + | 0.267995i | ||||
\(35\) | −3.38470 | + | 3.54977i | −0.572119 | + | 0.600021i | ||||
\(36\) | −1.71620 | + | 1.02697i | −0.286033 | + | 0.171162i | ||||
\(37\) | −0.329911 | + | 0.571422i | −0.0542370 | + | 0.0939412i | −0.891869 | − | 0.452293i | \(-0.850606\pi\) |
0.837632 | + | 0.546235i | \(0.183939\pi\) | |||||||
\(38\) | 3.73207 | + | 5.42227i | 0.605421 | + | 0.879608i | ||||
\(39\) | −0.121484 | + | 0.154479i | −0.0194530 | + | 0.0247365i | ||||
\(40\) | 9.88443 | + | 7.04367i | 1.56287 | + | 1.11370i | ||||
\(41\) | −0.0292975 | − | 0.306817i | −0.00457549 | − | 0.0479167i | 0.992896 | − | 0.118987i | \(-0.0379646\pi\) |
−0.997471 | + | 0.0710701i | \(0.977359\pi\) | |||||||
\(42\) | 1.57676 | − | 0.355941i | 0.243299 | − | 0.0549229i | ||||
\(43\) | 3.61522 | − | 7.91623i | 0.551316 | − | 1.20721i | −0.404849 | − | 0.914384i | \(-0.632676\pi\) |
0.956165 | − | 0.292830i | \(-0.0945970\pi\) | |||||||
\(44\) | −4.22035 | + | 5.54290i | −0.636241 | + | 0.835624i | ||||
\(45\) | 1.20897 | + | 4.11738i | 0.180223 | + | 0.613782i | ||||
\(46\) | −2.53827 | + | 9.77826i | −0.374248 | + | 1.44173i | ||||
\(47\) | −12.2683 | + | 2.97625i | −1.78951 | + | 0.434130i | −0.986760 | − | 0.162186i | \(-0.948146\pi\) |
−0.802750 | + | 0.596316i | \(0.796631\pi\) | |||||||
\(48\) | −1.42588 | − | 3.73723i | −0.205807 | − | 0.539423i | ||||
\(49\) | 5.66779 | + | 0.541208i | 0.809684 | + | 0.0773155i | ||||
\(50\) | 14.5339 | − | 12.1926i | 2.05540 | − | 1.72429i | ||||
\(51\) | −0.391843 | − | 1.13216i | −0.0548690 | − | 0.158534i | ||||
\(52\) | −0.262009 | − | 0.292985i | −0.0363341 | − | 0.0406297i | ||||
\(53\) | −4.20745 | + | 1.92148i | −0.577937 | + | 0.263935i | −0.682865 | − | 0.730545i | \(-0.739266\pi\) |
0.104928 | + | 0.994480i | \(0.466539\pi\) | |||||||
\(54\) | 0.420060 | − | 1.35039i | 0.0571629 | − | 0.183765i | ||||
\(55\) | 9.24011 | + | 11.7498i | 1.24594 | + | 1.58434i | ||||
\(56\) | 0.152744 | + | 3.22926i | 0.0204113 | + | 0.431528i | ||||
\(57\) | −4.52333 | − | 1.09735i | −0.599129 | − | 0.145347i | ||||
\(58\) | 2.81541 | − | 5.25331i | 0.369681 | − | 0.689793i | ||||
\(59\) | −11.6472 | − | 1.67461i | −1.51633 | − | 0.218015i | −0.666673 | − | 0.745350i | \(-0.732282\pi\) |
−0.849658 | + | 0.527335i | \(0.823191\pi\) | |||||||
\(60\) | −8.52973 | + | 0.949353i | −1.10118 | + | 0.122561i | ||||
\(61\) | −0.724427 | − | 3.75868i | −0.0927533 | − | 0.481250i | −0.998366 | − | 0.0571441i | \(-0.981801\pi\) |
0.905613 | − | 0.424106i | \(-0.139412\pi\) | |||||||
\(62\) | −6.64380 | − | 4.89287i | −0.843764 | − | 0.621395i | ||||
\(63\) | −0.663000 | + | 0.931053i | −0.0835301 | + | 0.117302i | ||||
\(64\) | 7.85644 | − | 1.50875i | 0.982055 | − | 0.188593i | ||||
\(65\) | −0.749581 | + | 0.386436i | −0.0929741 | + | 0.0479315i | ||||
\(66\) | −0.389854 | − | 4.91076i | −0.0479877 | − | 0.604473i | ||||
\(67\) | 6.96434 | − | 4.30093i | 0.850829 | − | 0.525442i | ||||
\(68\) | 2.36608 | − | 0.378058i | 0.286930 | − | 0.0458463i | ||||
\(69\) | −3.27331 | − | 6.34934i | −0.394060 | − | 0.764370i | ||||
\(70\) | 6.78925 | + | 1.42139i | 0.811470 | + | 0.169888i | ||||
\(71\) | 1.91286 | + | 1.36214i | 0.227015 | + | 0.161656i | 0.687905 | − | 0.725801i | \(-0.258531\pi\) |
−0.460890 | + | 0.887457i | \(0.652470\pi\) | |||||||
\(72\) | 2.51357 | + | 1.29690i | 0.296227 | + | 0.152841i | ||||
\(73\) | 1.83022 | − | 0.352745i | 0.214211 | − | 0.0412857i | −0.0810167 | − | 0.996713i | \(-0.525817\pi\) |
0.295227 | + | 0.955427i | \(0.404605\pi\) | |||||||
\(74\) | 0.932661 | − | 0.0295020i | 0.108420 | − | 0.00342954i | ||||
\(75\) | −1.90907 | + | 13.2779i | −0.220440 | + | 1.53320i | ||||
\(76\) | 3.73419 | − | 8.52727i | 0.428341 | − | 0.978145i | ||||
\(77\) | −0.938662 | + | 3.86922i | −0.106970 | + | 0.440938i | ||||
\(78\) | 0.276213 | + | 0.0308360i | 0.0312750 | + | 0.00349149i | ||||
\(79\) | 3.28748 | − | 2.58530i | 0.369870 | − | 0.290869i | −0.415872 | − | 0.909423i | \(-0.636524\pi\) |
0.785742 | + | 0.618554i | \(0.212281\pi\) | |||||||
\(80\) | 1.09631 | − | 17.1298i | 0.122571 | − | 1.91517i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | −0.346885 | + | 0.263933i | −0.0383070 | + | 0.0291466i | ||||
\(83\) | 9.63640 | − | 3.33519i | 1.05773 | − | 0.366085i | 0.257815 | − | 0.966194i | \(-0.416998\pi\) |
0.799918 | + | 0.600110i | \(0.204876\pi\) | |||||||
\(84\) | −1.60320 | − | 1.62956i | −0.174923 | − | 0.177800i | ||||
\(85\) | 0.488690 | − | 5.11779i | 0.0530058 | − | 0.555102i | ||||
\(86\) | −12.2086 | + | 1.55667i | −1.31649 | + | 0.167860i | ||||
\(87\) | 0.993602 | + | 4.09568i | 0.106525 | + | 0.439103i | ||||
\(88\) | 9.80750 | + | 0.939819i | 1.04548 | + | 0.100185i | ||||
\(89\) | 17.2122 | − | 5.05396i | 1.82449 | − | 0.535718i | 0.824925 | − | 0.565243i | \(-0.191217\pi\) |
0.999564 | + | 0.0295244i | \(0.00939926\pi\) | |||||||
\(90\) | 4.04691 | − | 4.52232i | 0.426582 | − | 0.476694i | ||||
\(91\) | −0.204328 | − | 0.0933133i | −0.0214194 | − | 0.00978189i | ||||
\(92\) | 13.6435 | − | 4.23901i | 1.42243 | − | 0.441948i | ||||
\(93\) | 5.80797 | − | 0.554594i | 0.602259 | − | 0.0575088i | ||||
\(94\) | 12.7225 | + | 12.5250i | 1.31222 | + | 1.29185i | ||||
\(95\) | −15.7002 | − | 12.3468i | −1.61081 | − | 1.26676i | ||||
\(96\) | −3.42836 | + | 4.49959i | −0.349905 | + | 0.459238i | ||||
\(97\) | 4.07928 | + | 2.35517i | 0.414188 | + | 0.239131i | 0.692587 | − | 0.721334i | \(-0.256471\pi\) |
−0.278400 | + | 0.960465i | \(0.589804\pi\) | |||||||
\(98\) | −3.57479 | − | 7.21487i | −0.361108 | − | 0.728812i | ||||
\(99\) | 2.52102 | + | 2.40379i | 0.253372 | + | 0.241590i | ||||
\(100\) | −25.4874 | − | 8.37718i | −2.54874 | − | 0.837718i | ||||
\(101\) | 7.21752 | − | 14.0000i | 0.718170 | − | 1.39306i | −0.193072 | − | 0.981185i | \(-0.561845\pi\) |
0.911242 | − | 0.411871i | \(-0.135125\pi\) | |||||||
\(102\) | −1.06849 | + | 1.31490i | −0.105796 | + | 0.130195i | ||||
\(103\) | 2.51938 | + | 6.29310i | 0.248242 | + | 0.620078i | 0.999188 | − | 0.0402854i | \(-0.0128267\pi\) |
−0.750947 | + | 0.660363i | \(0.770402\pi\) | |||||||
\(104\) | −0.156782 | + | 0.533289i | −0.0153737 | + | 0.0522933i | ||||
\(105\) | −4.24769 | + | 2.45240i | −0.414532 | + | 0.239330i | ||||
\(106\) | 5.44573 | + | 3.62400i | 0.528936 | + | 0.351994i | ||||
\(107\) | −2.79803 | + | 2.42450i | −0.270495 | + | 0.234386i | −0.779537 | − | 0.626356i | \(-0.784545\pi\) |
0.509041 | + | 0.860742i | \(0.330000\pi\) | |||||||
\(108\) | −1.93601 | + | 0.501864i | −0.186293 | + | 0.0482918i | ||||
\(109\) | −15.2958 | + | 2.19920i | −1.46507 | + | 0.210645i | −0.828245 | − | 0.560366i | \(-0.810661\pi\) |
−0.636822 | + | 0.771011i | \(0.719752\pi\) | |||||||
\(110\) | 7.23231 | − | 19.8637i | 0.689573 | − | 1.89393i | ||||
\(111\) | −0.477535 | + | 0.455329i | −0.0453256 | + | 0.0432179i | ||||
\(112\) | 3.76698 | − | 2.59089i | 0.355946 | − | 0.244817i | ||||
\(113\) | 0.000639230 | 0 | 0.000221240i | 6.01337e−5 | 0 | 2.08125e-5i | 0.327098 | − | 0.944990i | \(-0.393929\pi\) |
−0.327038 | + | 0.945011i | \(0.606050\pi\) | |||||||
\(114\) | 2.05326 | + | 6.25407i | 0.192306 | + | 0.585747i | ||||
\(115\) | −1.45857 | − | 30.6192i | −0.136013 | − | 2.85525i | ||||
\(116\) | −8.41211 | + | 0.532719i | −0.781045 | + | 0.0494617i | ||||
\(117\) | −0.160085 | + | 0.113996i | −0.0147998 | + | 0.0105389i | ||||
\(118\) | 6.67016 | + | 15.2457i | 0.614038 | + | 1.40348i | ||||
\(119\) | 1.15198 | − | 0.740331i | 0.105602 | − | 0.0678661i | ||||
\(120\) | 7.49961 | + | 9.54312i | 0.684618 | + | 0.871163i | ||||
\(121\) | 1.05256 | + | 0.421383i | 0.0956877 | + | 0.0383076i | ||||
\(122\) | −3.97705 | + | 3.67260i | −0.360066 | + | 0.332502i | ||||
\(123\) | 0.0583296 | − | 0.302643i | 0.00525940 | − | 0.0272884i | ||||
\(124\) | −0.927349 | + | 11.6319i | −0.0832784 | + | 1.04457i | ||||
\(125\) | −19.5214 | + | 30.3759i | −1.74605 | + | 2.71690i | ||||
\(126\) | 1.61317 | + | 0.102701i | 0.143712 | + | 0.00914931i | ||||
\(127\) | −7.96049 | − | 0.379205i | −0.706379 | − | 0.0336490i | −0.308681 | − | 0.951165i | \(-0.599888\pi\) |
−0.397698 | + | 0.917516i | \(0.630191\pi\) | |||||||
\(128\) | −7.66996 | − | 8.31696i | −0.677935 | − | 0.735122i | ||||
\(129\) | 5.69904 | − | 6.57704i | 0.501772 | − | 0.579076i | ||||
\(130\) | 1.02320 | + | 0.612751i | 0.0897409 | + | 0.0537418i | ||||
\(131\) | 2.19219 | − | 7.46592i | 0.191533 | − | 0.652301i | −0.806593 | − | 0.591107i | \(-0.798691\pi\) |
0.998126 | − | 0.0611938i | \(-0.0194908\pi\) | |||||||
\(132\) | −5.61101 | + | 4.12937i | −0.488376 | + | 0.359415i | ||||
\(133\) | − | 5.32009i | − | 0.461310i | ||||||
\(134\) | −10.3605 | − | 5.16334i | −0.895011 | − | 0.446045i | ||||
\(135\) | 4.29120i | 0.369328i | ||||||||
\(136\) | −2.21820 | − | 2.56167i | −0.190209 | − | 0.219661i | ||||
\(137\) | −2.07977 | + | 7.08306i | −0.177687 | + | 0.605147i | 0.821693 | + | 0.569931i | \(0.193030\pi\) |
−0.999380 | + | 0.0352158i | \(0.988788\pi\) | |||||||
\(138\) | −5.19031 | + | 8.66706i | −0.441829 | + | 0.737789i | ||||
\(139\) | −0.0184081 | + | 0.0212440i | −0.00156135 | + | 0.00180190i | −0.756530 | − | 0.653959i | \(-0.773107\pi\) |
0.754968 | + | 0.655761i | \(0.227652\pi\) | |||||||
\(140\) | −3.35302 | − | 9.21877i | −0.283382 | − | 0.779128i | ||||
\(141\) | −12.6098 | − | 0.600680i | −1.06194 | − | 0.0505864i | ||||
\(142\) | 0.211000 | − | 3.31427i | 0.0177067 | − | 0.278127i | ||||
\(143\) | −0.370105 | + | 0.575895i | −0.0309498 | + | 0.0481588i | ||||
\(144\) | −0.315218 | − | 3.98756i | −0.0262682 | − | 0.332297i | ||||
\(145\) | −3.42265 | + | 17.7584i | −0.284235 | + | 1.47475i | ||||
\(146\) | −1.78830 | − | 1.93655i | −0.148001 | − | 0.160270i | ||||
\(147\) | 5.28573 | + | 2.11609i | 0.435960 | + | 0.174532i | ||||
\(148\) | −0.730731 | − | 1.09886i | −0.0600657 | − | 0.0903255i | ||||
\(149\) | 5.24333 | − | 3.36968i | 0.429550 | − | 0.276055i | −0.307949 | − | 0.951403i | \(-0.599643\pi\) |
0.737500 | + | 0.675348i | \(0.236006\pi\) | |||||||
\(150\) | 17.3802 | − | 7.60405i | 1.41909 | − | 0.620868i | ||||
\(151\) | 15.5819 | − | 11.0959i | 1.26804 | − | 0.902968i | 0.269838 | − | 0.962906i | \(-0.413030\pi\) |
0.998202 | + | 0.0599381i | \(0.0190903\pi\) | |||||||
\(152\) | −13.0316 | + | 1.86921i | −1.05700 | + | 0.151613i | ||||
\(153\) | −0.0570054 | − | 1.19669i | −0.00460862 | − | 0.0967468i | ||||
\(154\) | 5.34968 | − | 1.75634i | 0.431090 | − | 0.141530i | ||||
\(155\) | 23.6596 | + | 8.18866i | 1.90038 | + | 0.657729i | ||||
\(156\) | −0.168852 | − | 0.354934i | −0.0135190 | − | 0.0284174i | ||||
\(157\) | 0.778259 | − | 0.742069i | 0.0621118 | − | 0.0592235i | −0.658387 | − | 0.752679i | \(-0.728761\pi\) |
0.720499 | + | 0.693456i | \(0.243913\pi\) | |||||||
\(158\) | −5.55769 | − | 2.02354i | −0.442146 | − | 0.160984i | ||||
\(159\) | −4.57836 | + | 0.658268i | −0.363087 | + | 0.0522041i | ||||
\(160\) | −21.4034 | + | 11.4523i | −1.69209 | + | 0.905383i | ||||
\(161\) | 6.17061 | − | 5.34686i | 0.486312 | − | 0.421392i | ||||
\(162\) | 0.783493 | − | 1.17734i | 0.0615570 | − | 0.0925009i | ||||
\(163\) | 4.85954 | − | 2.80566i | 0.380628 | − | 0.219756i | −0.297463 | − | 0.954733i | \(-0.596141\pi\) |
0.678092 | + | 0.734977i | \(0.262807\pi\) | |||||||
\(164\) | 0.575783 | + | 0.220122i | 0.0449611 | + | 0.0171887i | ||||
\(165\) | 5.55553 | + | 13.8770i | 0.432498 | + | 1.08033i | ||||
\(166\) | −11.1919 | − | 9.09450i | −0.868656 | − | 0.705870i | ||||
\(167\) | −3.02677 | + | 5.87111i | −0.234218 | + | 0.454320i | −0.976427 | − | 0.215849i | \(-0.930748\pi\) |
0.742209 | + | 0.670169i | \(0.233778\pi\) | |||||||
\(168\) | −0.763230 | + | 3.14148i | −0.0588845 | + | 0.242371i | ||||
\(169\) | 9.38059 | + | 8.94437i | 0.721584 | + | 0.688029i | ||||
\(170\) | −6.51474 | + | 3.22789i | −0.499658 | + | 0.247568i | ||||
\(171\) | −4.03094 | − | 2.32726i | −0.308254 | − | 0.177970i | ||||
\(172\) | 10.9720 | + | 13.5115i | 0.836605 | + | 1.03025i | ||||
\(173\) | −8.19104 | − | 6.44151i | −0.622753 | − | 0.489739i | 0.256214 | − | 0.966620i | \(-0.417525\pi\) |
−0.878968 | + | 0.476881i | \(0.841767\pi\) | |||||||
\(174\) | 4.18139 | − | 4.24732i | 0.316990 | − | 0.321988i | ||||
\(175\) | −15.2631 | + | 1.45745i | −1.15378 | + | 0.110173i | ||||
\(176\) | −6.18179 | − | 12.4870i | −0.465970 | − | 0.941245i | ||||
\(177\) | −10.7036 | − | 4.88816i | −0.804530 | − | 0.367416i | ||||
\(178\) | −18.9050 | − | 16.9176i | −1.41699 | − | 1.26803i | ||||
\(179\) | −22.8870 | + | 6.72022i | −1.71065 | + | 0.502292i | −0.982992 | − | 0.183647i | \(-0.941210\pi\) |
−0.727659 | + | 0.685939i | \(0.759392\pi\) | |||||||
\(180\) | −8.45168 | − | 1.49221i | −0.629951 | − | 0.111223i | ||||
\(181\) | 3.46700 | + | 14.2912i | 0.257700 | + | 1.06225i | 0.942681 | + | 0.333694i | \(0.108295\pi\) |
−0.684981 | + | 0.728561i | \(0.740190\pi\) | |||||||
\(182\) | 0.0401794 | + | 0.315119i | 0.00297830 | + | 0.0233582i | ||||
\(183\) | 0.363861 | − | 3.81052i | 0.0268974 | − | 0.281682i | ||||
\(184\) | −15.2652 | − | 13.2364i | −1.12537 | − | 0.975798i | ||||
\(185\) | −2.67570 | + | 0.926068i | −0.196721 | + | 0.0680859i | ||||
\(186\) | −4.99620 | − | 6.56645i | −0.366339 | − | 0.481476i | ||||
\(187\) | −1.73362 | − | 3.79610i | −0.126775 | − | 0.277599i | ||||
\(188\) | 5.56795 | − | 24.6266i | 0.406085 | − | 1.79608i | ||||
\(189\) | −0.898452 | + | 0.706550i | −0.0653527 | + | 0.0513940i | ||||
\(190\) | −3.13396 | + | 28.0724i | −0.227362 | + | 2.03659i | ||||
\(191\) | −2.97209 | + | 12.2511i | −0.215053 | + | 0.886460i | 0.757323 | + | 0.653040i | \(0.226507\pi\) |
−0.972376 | + | 0.233420i | \(0.925008\pi\) | |||||||
\(192\) | 7.96326 | + | 0.765785i | 0.574699 | + | 0.0552658i | ||||
\(193\) | 2.46840 | − | 17.1681i | 0.177679 | − | 1.23579i | −0.684436 | − | 0.729073i | \(-0.739951\pi\) |
0.862115 | − | 0.506713i | \(-0.169140\pi\) | |||||||
\(194\) | −0.210610 | − | 6.65810i | −0.0151209 | − | 0.478024i | ||||
\(195\) | −0.828090 | + | 0.159601i | −0.0593007 | + | 0.0114293i | ||||
\(196\) | −6.00575 | + | 9.67460i | −0.428982 | + | 0.691043i | ||||
\(197\) | −10.3998 | − | 7.40567i | −0.740955 | − | 0.527632i | 0.146114 | − | 0.989268i | \(-0.453323\pi\) |
−0.887069 | + | 0.461636i | \(0.847263\pi\) | |||||||
\(198\) | 1.00946 | − | 4.82168i | 0.0717392 | − | 0.342662i | ||||
\(199\) | 10.2980 | + | 19.9753i | 0.730003 | + | 1.41601i | 0.902364 | + | 0.430975i | \(0.141830\pi\) |
−0.172361 | + | 0.985034i | \(0.555139\pi\) | |||||||
\(200\) | 8.93273 | + | 36.8752i | 0.631640 | + | 2.60747i | ||||
\(201\) | 7.89395 | − | 2.16463i | 0.556796 | − | 0.152681i | ||||
\(202\) | −22.2054 | + | 1.76283i | −1.56237 | + | 0.124032i | ||||
\(203\) | −4.28162 | + | 2.20733i | −0.300511 | + | 0.154924i | ||||
\(204\) | 2.37675 | + | 0.303859i | 0.166406 | + | 0.0212744i | ||||
\(205\) | 0.767184 | − | 1.07736i | 0.0535825 | − | 0.0752460i | ||||
\(206\) | 5.68477 | − | 7.71908i | 0.396076 | − | 0.537814i | ||||
\(207\) | −1.35190 | − | 7.01434i | −0.0939638 | − | 0.487530i | ||||
\(208\) | 0.757771 | − | 0.209137i | 0.0525420 | − | 0.0145010i | ||||
\(209\) | −16.0484 | − | 2.30741i | −1.11009 | − | 0.159607i | ||||
\(210\) | 6.11378 | + | 3.27656i | 0.421891 | + | 0.226104i | ||||
\(211\) | −14.4105 | − | 3.49596i | −0.992062 | − | 0.240672i | −0.293296 | − | 0.956022i | \(-0.594752\pi\) |
−0.698766 | + | 0.715350i | \(0.746267\pi\) | |||||||
\(212\) | 0.295577 | − | 9.24615i | 0.0203003 | − | 0.635028i | ||||
\(213\) | 1.45162 | + | 1.84588i | 0.0994631 | + | 0.126478i | ||||
\(214\) | 4.99957 | + | 1.55519i | 0.341764 | + | 0.106311i | ||||
\(215\) | 33.9701 | − | 15.5136i | 2.31674 | − | 1.05802i | ||||
\(216\) | 2.04637 | + | 1.95252i | 0.139238 | + | 0.132852i | ||||
\(217\) | 2.18111 | + | 6.30189i | 0.148063 | + | 0.427800i | ||||
\(218\) | 14.0455 | + | 16.7426i | 0.951285 | + | 1.13395i | ||||
\(219\) | 1.85546 | + | 0.177175i | 0.125380 | + | 0.0119724i | ||||
\(220\) | −29.2632 | + | 6.11628i | −1.97293 | + | 0.412359i | ||||
\(221\) | 0.228810 | − | 0.0555087i | 0.0153914 | − | 0.00373392i | ||||
\(222\) | 0.903194 | + | 0.234454i | 0.0606184 | + | 0.0157355i | ||||
\(223\) | −1.14701 | − | 3.90636i | −0.0768095 | − | 0.261589i | 0.912132 | − | 0.409897i | \(-0.134435\pi\) |
−0.988941 | + | 0.148308i | \(0.952617\pi\) | |||||||
\(224\) | −5.92187 | − | 2.59562i | −0.395671 | − | 0.173427i | ||||
\(225\) | −5.57255 | + | 12.2022i | −0.371503 | + | 0.813478i | ||||
\(226\) | −0.000210650 | 0 | 0.000933141i | −1.40122e−5 | 0 | 6.20716e-5i | ||||
\(227\) | 1.52725 | + | 15.9941i | 0.101367 | + | 1.06156i | 0.892844 | + | 0.450365i | \(0.148706\pi\) |
−0.791477 | + | 0.611199i | \(0.790688\pi\) | |||||||
\(228\) | 5.98534 | − | 7.12982i | 0.396389 | − | 0.472184i | ||||
\(229\) | 2.61598 | − | 3.32648i | 0.172869 | − | 0.219820i | −0.691897 | − | 0.721996i | \(-0.743225\pi\) |
0.864765 | + | 0.502176i | \(0.167467\pi\) | |||||||
\(230\) | −35.7101 | + | 24.5787i | −2.35465 | + | 1.62067i | ||||
\(231\) | −1.99072 | + | 3.44803i | −0.130980 | + | 0.226864i | ||||
\(232\) | 6.91123 | + | 9.71235i | 0.453745 | + | 0.637647i | ||||
\(233\) | 0.338170 | − | 0.354662i | 0.0221542 | − | 0.0232347i | −0.712564 | − | 0.701607i | \(-0.752466\pi\) |
0.734718 | + | 0.678373i | \(0.237315\pi\) | |||||||
\(234\) | 0.256337 | + | 0.107405i | 0.0167573 | + | 0.00702129i | ||||
\(235\) | −48.1506 | − | 24.8233i | −3.14100 | − | 1.61930i | ||||
\(236\) | 13.3494 | − | 19.3813i | 0.868974 | − | 1.26162i | ||||
\(237\) | 3.88268 | − | 1.55439i | 0.252207 | − | 0.100968i | ||||
\(238\) | −1.74848 | − | 0.832521i | −0.113337 | − | 0.0539644i | ||||
\(239\) | 8.38758 | + | 14.5277i | 0.542547 | + | 0.939720i | 0.998757 | + | 0.0498472i | \(0.0158734\pi\) |
−0.456210 | + | 0.889872i | \(0.650793\pi\) | |||||||
\(240\) | 5.87791 | − | 16.1270i | 0.379418 | − | 1.04099i | ||||
\(241\) | −13.9901 | − | 16.1455i | −0.901182 | − | 1.04002i | −0.998995 | − | 0.0448150i | \(-0.985730\pi\) |
0.0978130 | − | 0.995205i | \(-0.468815\pi\) | |||||||
\(242\) | −0.278252 | − | 1.57908i | −0.0178867 | − | 0.101507i | ||||
\(243\) | 0.142315 | + | 0.989821i | 0.00912950 | + | 0.0634971i | ||||
\(244\) | 7.37844 | + | 2.04170i | 0.472356 | + | 0.130706i | ||||
\(245\) | 16.8602 | + | 17.6825i | 1.07716 | + | 1.12969i | ||||
\(246\) | −0.407192 | + | 0.155513i | −0.0259616 | + | 0.00991518i | ||||
\(247\) | 0.299180 | − | 0.864423i | 0.0190364 | − | 0.0550019i | ||||
\(248\) | 14.6702 | − | 7.55681i | 0.931561 | − | 0.479858i | ||||
\(249\) | 10.1857 | − | 0.485204i | 0.645492 | − | 0.0307486i | ||||
\(250\) | 51.0578 | + | 0.815887i | 3.22918 | + | 0.0516012i | ||||
\(251\) | −7.19395 | − | 10.1025i | −0.454078 | − | 0.637663i | 0.522548 | − | 0.852610i | \(-0.324982\pi\) |
−0.976626 | + | 0.214947i | \(0.931042\pi\) | |||||||
\(252\) | −1.07915 | − | 2.01523i | −0.0679803 | − | 0.126947i | ||||
\(253\) | −13.4528 | − | 20.9330i | −0.845773 | − | 1.31605i | ||||
\(254\) | 5.47863 | + | 9.84942i | 0.343760 | + | 0.618007i | ||||
\(255\) | 1.91074 | − | 4.77280i | 0.119655 | − | 0.298884i | ||||
\(256\) | −4.27736 | + | 15.4177i | −0.267335 | + | 0.963604i | ||||
\(257\) | −26.7012 | − | 5.14624i | −1.66558 | − | 0.321013i | −0.732520 | − | 0.680745i | \(-0.761656\pi\) |
−0.933056 | + | 0.359732i | \(0.882868\pi\) | |||||||
\(258\) | −12.1526 | − | 1.94595i | −0.756589 | − | 0.121150i | ||||
\(259\) | −0.634448 | − | 0.407735i | −0.0394227 | − | 0.0253354i | ||||
\(260\) | −0.0263838 | − | 1.68645i | −0.00163625 | − | 0.104589i | ||||
\(261\) | −0.200533 | + | 4.20971i | −0.0124127 | + | 0.260574i | ||||
\(262\) | −10.6066 | + | 2.93114i | −0.655278 | + | 0.181086i | ||||
\(263\) | 10.4381 | + | 9.04470i | 0.643643 | + | 0.557720i | 0.914341 | − | 0.404944i | \(-0.132709\pi\) |
−0.270698 | + | 0.962664i | \(0.587255\pi\) | |||||||
\(264\) | 9.14545 | + | 3.66484i | 0.562863 | + | 0.225555i | ||||
\(265\) | −19.0447 | − | 5.59202i | −1.16990 | − | 0.343515i | ||||
\(266\) | −6.39355 | + | 3.96599i | −0.392014 | + | 0.243171i | ||||
\(267\) | 17.9388 | 1.09784 | ||||||||
\(268\) | 1.51831 | + | 16.3001i | 0.0927454 | + | 0.995690i | ||||
\(269\) | 6.67557 | 0.407017 | 0.203508 | − | 0.979073i | \(-0.434766\pi\) | ||||
0.203508 | + | 0.979073i | \(0.434766\pi\) | |||||||
\(270\) | 5.15706 | − | 3.19898i | 0.313849 | − | 0.194684i | ||||
\(271\) | 4.29144 | + | 1.26008i | 0.260686 | + | 0.0765444i | 0.409464 | − | 0.912326i | \(-0.365716\pi\) |
−0.148778 | + | 0.988871i | \(0.547534\pi\) | |||||||
\(272\) | −1.42494 | + | 4.57544i | −0.0863999 | + | 0.277427i | ||||
\(273\) | −0.169762 | − | 0.147099i | −0.0102744 | − | 0.00890285i | ||||
\(274\) | 10.0627 | − | 2.78082i | 0.607908 | − | 0.167996i | ||||
\(275\) | −2.22337 | + | 46.6743i | −0.134074 | + | 2.81456i | ||||
\(276\) | 14.2851 | − | 0.223484i | 0.859863 | − | 0.0134521i | ||||
\(277\) | 8.64645 | + | 5.55673i | 0.519515 | + | 0.333872i | 0.773980 | − | 0.633210i | \(-0.218263\pi\) |
−0.254465 | + | 0.967082i | \(0.581899\pi\) | |||||||
\(278\) | 0.0392533 | + | 0.00628547i | 0.00235426 | + | 0.000376978i | ||||
\(279\) | 5.72896 | + | 1.10417i | 0.342984 | + | 0.0661047i | ||||
\(280\) | −8.57930 | + | 10.9019i | −0.512711 | + | 0.651516i | ||||
\(281\) | 7.48066 | − | 18.6858i | 0.446259 | − | 1.11470i | −0.519317 | − | 0.854581i | \(-0.673814\pi\) |
0.965576 | − | 0.260120i | \(-0.0837620\pi\) | |||||||
\(282\) | 8.67842 | + | 15.6020i | 0.516793 | + | 0.929084i | ||||
\(283\) | 11.3301 | + | 17.6299i | 0.673503 | + | 1.04799i | 0.994882 | + | 0.101040i | \(0.0322170\pi\) |
−0.321380 | + | 0.946950i | \(0.604147\pi\) | |||||||
\(284\) | −4.14031 | + | 2.21713i | −0.245682 | + | 0.131563i | ||||
\(285\) | −11.5858 | − | 16.2700i | −0.686282 | − | 0.963749i | ||||
\(286\) | 0.968002 | + | 0.0154684i | 0.0572391 | + | 0.000914663i | ||||
\(287\) | 0.351885 | − | 0.0167624i | 0.0207711 | − | 0.000989450i | ||||
\(288\) | −4.55717 | + | 3.35145i | −0.268534 | + | 0.197486i | ||||
\(289\) | 5.09071 | − | 14.7086i | 0.299453 | − | 0.865214i | ||||
\(290\) | 23.8931 | − | 9.12517i | 1.40305 | − | 0.535848i | ||||
\(291\) | 3.25051 | + | 3.40903i | 0.190548 | + | 0.199841i | ||||
\(292\) | −0.994163 | + | 3.59279i | −0.0581790 | + | 0.210252i | ||||
\(293\) | −4.44016 | − | 30.8820i | −0.259397 | − | 1.80415i | −0.537142 | − | 0.843492i | \(-0.680496\pi\) |
0.277745 | − | 0.960655i | \(-0.410413\pi\) | |||||||
\(294\) | −1.39732 | − | 7.92975i | −0.0814932 | − | 0.462473i | ||||
\(295\) | −33.0667 | − | 38.1610i | −1.92522 | − | 2.22182i | ||||
\(296\) | −0.775839 | + | 1.69735i | −0.0450948 | + | 0.0986562i | ||||
\(297\) | 1.74168 | + | 3.01668i | 0.101062 | + | 0.175045i | ||||
\(298\) | −7.95838 | − | 3.78929i | −0.461016 | − | 0.219508i | ||||
\(299\) | 1.30330 | − | 0.521764i | 0.0753720 | − | 0.0301744i | ||||
\(300\) | −22.0949 | − | 15.2185i | −1.27565 | − | 0.878639i | ||||
\(301\) | 8.84132 | + | 4.55801i | 0.509605 | + | 0.262720i | ||||
\(302\) | −24.9507 | − | 10.4543i | −1.43575 | − | 0.601579i | ||||
\(303\) | 10.8694 | − | 11.3995i | 0.624432 | − | 0.654886i | ||||
\(304\) | 11.9611 | + | 14.2677i | 0.686017 | + | 0.818306i | ||||
\(305\) | 8.21305 | − | 14.2254i | 0.470278 | − | 0.814545i | ||||
\(306\) | −1.39566 | + | 0.960612i | −0.0797846 | + | 0.0549145i | ||||
\(307\) | 15.6625 | − | 19.9165i | 0.893907 | − | 1.13670i | −0.0960567 | − | 0.995376i | \(-0.530623\pi\) |
0.989964 | − | 0.141320i | \(-0.0451346\pi\) | |||||||
\(308\) | −6.09879 | − | 5.11981i | −0.347511 | − | 0.291728i | ||||
\(309\) | 0.644353 | + | 6.74798i | 0.0366560 | + | 0.383879i | ||||
\(310\) | −7.79669 | − | 34.5380i | −0.442822 | − | 1.96162i | ||||
\(311\) | 6.29527 | − | 13.7847i | 0.356972 | − | 0.781660i | −0.642904 | − | 0.765947i | \(-0.722271\pi\) |
0.999877 | − | 0.0157137i | \(-0.00500203\pi\) | |||||||
\(312\) | −0.300676 | + | 0.467516i | −0.0170224 | + | 0.0264679i | ||||
\(313\) | −9.06207 | − | 30.8626i | −0.512218 | − | 1.74446i | −0.655916 | − | 0.754834i | \(-0.727717\pi\) |
0.143698 | − | 0.989622i | \(-0.454101\pi\) | |||||||
\(314\) | −1.47197 | − | 0.382100i | −0.0830683 | − | 0.0215631i | ||||
\(315\) | −4.76655 | + | 1.15635i | −0.268564 | + | 0.0651530i | ||||
\(316\) | 1.71128 | + | 8.18760i | 0.0962671 | + | 0.460589i | ||||
\(317\) | −17.4227 | − | 1.66367i | −0.978558 | − | 0.0934409i | −0.406497 | − | 0.913652i | \(-0.633250\pi\) |
−0.572061 | + | 0.820211i | \(0.693856\pi\) | |||||||
\(318\) | 4.20414 | + | 5.01144i | 0.235757 | + | 0.281028i | ||||
\(319\) | 4.80154 | + | 13.8731i | 0.268835 | + | 0.776746i | ||||
\(320\) | 29.7188 | + | 17.1847i | 1.66133 | + | 0.960655i | ||||
\(321\) | −3.36775 | + | 1.53800i | −0.187969 | + | 0.0858427i | ||||
\(322\) | −11.0258 | − | 3.42974i | −0.614442 | − | 0.191132i | ||||
\(323\) | 3.44707 | + | 4.38331i | 0.191800 | + | 0.243894i | ||||
\(324\) | −1.99898 | − | 0.0639024i | −0.111054 | − | 0.00355013i | ||||
\(325\) | −2.56196 | − | 0.621525i | −0.142112 | − | 0.0344760i | ||||
\(326\) | −6.99443 | − | 3.74853i | −0.387386 | − | 0.207612i | ||||
\(327\) | −15.2958 | − | 2.19920i | −0.845857 | − | 0.121616i | ||||
\(328\) | −0.164694 | − | 0.856058i | −0.00909371 | − | 0.0472679i | ||||
\(329\) | −2.73075 | − | 14.1685i | −0.150551 | − | 0.781135i | ||||
\(330\) | 12.5356 | − | 17.0215i | 0.690062 | − | 0.937003i | ||||
\(331\) | 4.27687 | − | 6.00602i | 0.235078 | − | 0.330121i | −0.680138 | − | 0.733084i | \(-0.738080\pi\) |
0.915216 | + | 0.402963i | \(0.132020\pi\) | |||||||
\(332\) | −2.58631 | + | 20.2298i | −0.141942 | + | 1.11026i | ||||
\(333\) | −0.586472 | + | 0.302348i | −0.0321385 | + | 0.0165685i | ||||
\(334\) | 9.31214 | − | 0.739268i | 0.509538 | − | 0.0404510i | ||||
\(335\) | 34.6721 | + | 5.62254i | 1.89434 | + | 0.307192i | ||||
\(336\) | 4.34433 | − | 1.42467i | 0.237003 | − | 0.0777219i | ||||
\(337\) | −8.20270 | − | 15.9110i | −0.446830 | − | 0.866729i | −0.999446 | − | 0.0332927i | \(-0.989401\pi\) |
0.552616 | − | 0.833436i | \(-0.313630\pi\) | |||||||
\(338\) | 3.75614 | − | 17.9412i | 0.204307 | − | 0.975872i | ||||
\(339\) | 0.000551007 | 0 | 0.000392370i | 2.99266e−5 | 0 | 2.13106e-5i | ||||
\(340\) | 8.73578 | + | 5.42295i | 0.473764 | + | 0.294101i | ||||
\(341\) | 19.9560 | − | 3.84621i | 1.08068 | − | 0.208284i | ||||
\(342\) | 0.208114 | + | 6.57921i | 0.0112535 | + | 0.355763i | ||||
\(343\) | −2.06479 | + | 14.3610i | −0.111488 | + | 0.775419i | ||||
\(344\) | 8.05853 | − | 23.2584i | 0.434487 | − | 1.25401i | ||||
\(345\) | 7.22693 | − | 29.7898i | 0.389085 | − | 1.60383i | ||||
\(346\) | −1.63503 | + | 14.6458i | −0.0878999 | + | 0.787362i | ||||
\(347\) | 13.0908 | − | 10.2947i | 0.702750 | − | 0.552649i | −0.201586 | − | 0.979471i | \(-0.564609\pi\) |
0.904336 | + | 0.426822i | \(0.140367\pi\) | |||||||
\(348\) | −8.22145 | − | 1.85883i | −0.440716 | − | 0.0996436i | ||||
\(349\) | 6.90571 | + | 15.1214i | 0.369654 | + | 0.809430i | 0.999466 | + | 0.0326817i | \(0.0104048\pi\) |
−0.629812 | + | 0.776748i | \(0.716868\pi\) | |||||||
\(350\) | 13.1298 | + | 17.2564i | 0.701818 | + | 0.922392i | ||||
\(351\) | −0.185717 | + | 0.0642771i | −0.00991282 | + | 0.00343086i | ||||
\(352\) | −10.3982 | + | 16.7379i | −0.554228 | + | 0.892133i | ||||
\(353\) | −3.08187 | + | 32.2748i | −0.164031 | + | 1.71781i | 0.421219 | + | 0.906959i | \(0.361602\pi\) |
−0.585250 | + | 0.810853i | \(0.699004\pi\) | |||||||
\(354\) | 2.10477 | + | 16.5073i | 0.111868 | + | 0.877353i | ||||
\(355\) | 2.37574 | + | 9.79292i | 0.126091 | + | 0.519754i | ||||
\(356\) | −6.23799 | + | 35.3312i | −0.330613 | + | 1.87255i | ||||
\(357\) | 1.31389 | − | 0.385793i | 0.0695384 | − | 0.0204183i | ||||
\(358\) | 25.1379 | + | 22.4952i | 1.32858 | + | 1.18891i | ||||
\(359\) | −27.1805 | − | 12.4129i | −1.43453 | − | 0.655128i | −0.461783 | − | 0.886993i | \(-0.652790\pi\) |
−0.972748 | + | 0.231865i | \(0.925517\pi\) | |||||||
\(360\) | 4.50722 | + | 11.2694i | 0.237551 | + | 0.593952i | ||||
\(361\) | 2.65258 | − | 0.253290i | 0.139609 | − | 0.0133311i | ||||
\(362\) | 14.5902 | − | 14.8203i | 0.766846 | − | 0.778936i | ||||
\(363\) | 0.891211 | + | 0.700856i | 0.0467765 | + | 0.0367854i | ||||
\(364\) | 0.348750 | − | 0.283200i | 0.0182795 | − | 0.0148437i | ||||
\(365\) | 6.92679 | + | 3.99918i | 0.362565 | + | 0.209327i | ||||
\(366\) | −4.85065 | + | 2.40337i | −0.253547 | + | 0.125626i | ||||
\(367\) | −4.79766 | − | 4.57456i | −0.250436 | − | 0.238790i | 0.554454 | − | 0.832214i | \(-0.312927\pi\) |
−0.804890 | + | 0.593424i | \(0.797776\pi\) | |||||||
\(368\) | −4.52729 | + | 28.2128i | −0.236002 | + | 1.47069i | ||||
\(369\) | 0.141231 | − | 0.273950i | 0.00735220 | − | 0.0142613i | ||||
\(370\) | 3.10759 | + | 2.52523i | 0.161556 | + | 0.131281i | ||||
\(371\) | −1.96492 | − | 4.90813i | −0.102013 | − | 0.254817i | ||||
\(372\) | −4.16686 | + | 10.8994i | −0.216042 | + | 0.565110i | ||||
\(373\) | −12.0938 | + | 6.98236i | −0.626193 | + | 0.361533i | −0.779276 | − | 0.626681i | \(-0.784413\pi\) |
0.153083 | + | 0.988213i | \(0.451080\pi\) | |||||||
\(374\) | −3.26970 | + | 4.91333i | −0.169072 | + | 0.254062i | ||||
\(375\) | −27.2885 | + | 23.6457i | −1.40917 | + | 1.22106i | ||||
\(376\) | −33.7465 | + | 11.6671i | −1.74034 | + | 0.601685i | ||||
\(377\) | −0.819822 | + | 0.117873i | −0.0422230 | + | 0.00607075i | ||||
\(378\) | 1.51889 | + | 0.553022i | 0.0781232 | + | 0.0284444i | ||||
\(379\) | 8.65384 | − | 8.25142i | 0.444518 | − | 0.423847i | −0.434473 | − | 0.900685i | \(-0.643065\pi\) |
0.878991 | + | 0.476838i | \(0.158217\pi\) | |||||||
\(380\) | 36.0731 | − | 17.1610i | 1.85051 | − | 0.880340i | ||||
\(381\) | −7.53120 | − | 2.60657i | −0.385835 | − | 0.133539i | ||||
\(382\) | 16.9387 | − | 5.56112i | 0.866660 | − | 0.284531i | ||||
\(383\) | −0.438351 | − | 9.20213i | −0.0223987 | − | 0.470207i | −0.982004 | − | 0.188858i | \(-0.939521\pi\) |
0.959606 | − | 0.281348i | \(-0.0907817\pi\) | |||||||
\(384\) | −5.01611 | − | 10.1409i | −0.255977 | − | 0.517503i | ||||
\(385\) | −13.9172 | + | 9.91038i | −0.709285 | + | 0.505080i | ||||
\(386\) | −22.4723 | + | 9.83192i | −1.14381 | + | 0.500432i | ||||
\(387\) | 7.32115 | − | 4.70502i | 0.372155 | − | 0.239170i | ||||
\(388\) | −7.84454 | + | 5.21655i | −0.398246 | + | 0.264830i | ||||
\(389\) | 3.25360 | + | 1.30255i | 0.164964 | + | 0.0660417i | 0.452675 | − | 0.891676i | \(-0.350470\pi\) |
−0.287711 | + | 0.957717i | \(0.592894\pi\) | |||||||
\(390\) | 0.809125 | + | 0.876200i | 0.0409717 | + | 0.0443681i | ||||
\(391\) | −1.61965 | + | 8.40352i | −0.0819090 | + | 0.424984i | ||||
\(392\) | 16.1039 | + | 0.00539602i | 0.813367 | + | 0.000272540i | ||||
\(393\) | 4.20679 | − | 6.54589i | 0.212204 | − | 0.330196i | ||||
\(394\) | −1.14716 | + | 18.0190i | −0.0577931 | + | 0.907783i | ||||
\(395\) | 17.9266 | + | 0.853949i | 0.901985 | + | 0.0429669i | ||||
\(396\) | −6.54710 | + | 2.38129i | −0.329004 | + | 0.119665i | ||||
\(397\) | −13.0350 | + | 15.0431i | −0.654206 | + | 0.754994i | −0.981819 | − | 0.189818i | \(-0.939210\pi\) |
0.327613 | + | 0.944812i | \(0.393756\pi\) | |||||||
\(398\) | 16.3289 | − | 27.2669i | 0.818495 | − | 1.36677i | ||||
\(399\) | 1.49884 | − | 5.10458i | 0.0750359 | − | 0.255549i | ||||
\(400\) | 37.6566 | − | 38.2247i | 1.88283 | − | 1.91123i | ||||
\(401\) | 4.15191i | 0.207337i | 0.994612 | + | 0.103668i | \(0.0330580\pi\) | ||||
−0.994612 | + | 0.103668i | \(0.966942\pi\) | |||||||
\(402\) | −8.48614 | − | 7.87308i | −0.423250 | − | 0.392674i | ||||
\(403\) | 1.14661i | 0.0571165i | ||||||||
\(404\) | 18.6721 | + | 25.3718i | 0.928972 | + | 1.26229i | ||||
\(405\) | −1.20897 | + | 4.11738i | −0.0600743 | + | 0.204594i | ||||
\(406\) | 5.84456 | + | 3.50004i | 0.290061 | + | 0.173704i | ||||
\(407\) | −1.50513 | + | 1.73701i | −0.0746064 | + | 0.0861004i | ||||
\(408\) | −1.40664 | − | 3.08284i | −0.0696390 | − | 0.152624i | ||||
\(409\) | 18.6399 | + | 0.887925i | 0.921681 | + | 0.0439051i | 0.503056 | − | 0.864254i | \(-0.332209\pi\) |
0.418625 | + | 0.908159i | \(0.362512\pi\) | |||||||
\(410\) | −1.86666 | − | 0.118839i | −0.0921879 | − | 0.00586905i | ||||
\(411\) | −3.99106 | + | 6.21021i | −0.196864 | + | 0.306327i | ||||
\(412\) | −13.5145 | − | 1.07744i | −0.665810 | − | 0.0530815i | ||||
\(413\) | 2.54533 | − | 13.2064i | 0.125248 | − | 0.649847i | ||||
\(414\) | −7.42186 | + | 6.85370i | −0.364765 | + | 0.336841i | ||||
\(415\) | 40.6239 | + | 16.2634i | 1.99415 | + | 0.798337i | ||||
\(416\) | −0.816235 | − | 0.754765i | −0.0400192 | − | 0.0370054i | ||||
\(417\) | −0.0236475 | + | 0.0151974i | −0.00115803 | + | 0.000744217i | ||||
\(418\) | 9.19067 | + | 21.0067i | 0.449530 | + | 1.02747i | ||||
\(419\) | −10.2467 | + | 7.29662i | −0.500582 | + | 0.356463i | −0.802287 | − | 0.596938i | \(-0.796384\pi\) |
0.301705 | + | 0.953401i | \(0.402444\pi\) | |||||||
\(420\) | −0.619977 | − | 9.79000i | −0.0302518 | − | 0.477703i | ||||
\(421\) | −0.794683 | − | 16.6825i | −0.0387305 | − | 0.813053i | −0.931764 | − | 0.363064i | \(-0.881731\pi\) |
0.893034 | − | 0.449990i | \(-0.148572\pi\) | |||||||
\(422\) | 6.54134 | + | 19.9244i | 0.318427 | + | 0.969905i | ||||
\(423\) | −11.9298 | − | 4.12894i | −0.580047 | − | 0.200756i | ||||
\(424\) | −11.3322 | + | 6.53756i | −0.550338 | + | 0.317492i | ||||
\(425\) | 11.6312 | − | 11.0903i | 0.564197 | − | 0.537960i | ||||
\(426\) | 1.13619 | − | 3.12057i | 0.0550486 | − | 0.151192i | ||||
\(427\) | 4.33067 | − | 0.622657i | 0.209576 | − | 0.0301325i | ||||
\(428\) | −1.85806 | − | 7.16773i | −0.0898127 | − | 0.346465i | ||||
\(429\) | −0.517362 | + | 0.448297i | −0.0249785 | + | 0.0216440i | ||||
\(430\) | −43.9678 | − | 29.2595i | −2.12032 | − | 1.41102i | ||||
\(431\) | −12.4619 | + | 7.19489i | −0.600270 | + | 0.346566i | −0.769148 | − | 0.639071i | \(-0.779319\pi\) |
0.168878 | + | 0.985637i | \(0.445986\pi\) | |||||||
\(432\) | 0.820976 | − | 3.91484i | 0.0394992 | − | 0.188353i | ||||
\(433\) | −10.6418 | − | 26.5819i | −0.511412 | − | 1.27745i | −0.929427 | − | 0.369006i | \(-0.879698\pi\) |
0.418015 | − | 0.908440i | \(-0.362726\pi\) | |||||||
\(434\) | 5.94750 | − | 7.31910i | 0.285489 | − | 0.351328i | ||||
\(435\) | −8.28712 | + | 16.0748i | −0.397337 | + | 0.770726i | ||||
\(436\) | 9.65029 | − | 29.3608i | 0.462165 | − | 1.40613i | ||||
\(437\) | 24.0637 | + | 22.9447i | 1.15112 | + | 1.09759i | ||||
\(438\) | −1.17027 | − | 2.36193i | −0.0559179 | − | 0.112857i | ||||
\(439\) | 19.1364 | + | 11.0484i | 0.913329 | + | 0.527311i | 0.881501 | − | 0.472182i | \(-0.156534\pi\) |
0.0318285 | + | 0.999493i | \(0.489867\pi\) | |||||||
\(440\) | 29.1654 | + | 30.6083i | 1.39041 | + | 1.45919i | ||||
\(441\) | 4.47545 | + | 3.51953i | 0.213117 | + | 0.167597i | ||||
\(442\) | −0.237281 | − | 0.233598i | −0.0112863 | − | 0.0111111i | ||||
\(443\) | −18.8012 | + | 1.79530i | −0.893271 | + | 0.0852971i | −0.531587 | − | 0.847004i | \(-0.678404\pi\) |
−0.361684 | + | 0.932301i | \(0.617798\pi\) | |||||||
\(444\) | −0.391547 | − | 1.26022i | −0.0185820 | − | 0.0598072i | ||||
\(445\) | 70.0227 | + | 31.9783i | 3.31940 | + | 1.51592i | ||||
\(446\) | −3.83950 | + | 4.29054i | −0.181806 | + | 0.203163i | ||||
\(447\) | 5.98029 | − | 1.75597i | 0.282858 | − | 0.0830545i | ||||
\(448\) | 1.29525 | + | 9.05173i | 0.0611949 | + | 0.427654i | ||||
\(449\) | −4.65265 | − | 19.1785i | −0.219572 | − | 0.905089i | −0.969798 | − | 0.243908i | \(-0.921571\pi\) |
0.750226 | − | 0.661181i | \(-0.229944\pi\) | |||||||
\(450\) | 18.8185 | − | 2.39946i | 0.887112 | − | 0.113112i | ||||
\(451\) | 0.102054 | − | 1.06875i | 0.00480551 | − | 0.0503256i | ||||
\(452\) | −0.000964393 | 0 | 0.000948787i | −4.53612e−5 | 0 | 4.46272e-5i | ||||
\(453\) | 18.0768 | − | 6.25645i | 0.849323 | − | 0.293954i | ||||
\(454\) | 18.0828 | − | 13.7586i | 0.848667 | − | 0.645723i | ||||
\(455\) | −0.400426 | − | 0.876811i | −0.0187723 | − | 0.0411055i | ||||
\(456\) | −13.0304 | − | 1.87794i | −0.610203 | − | 0.0879426i | ||||
\(457\) | 26.2095 | − | 20.6114i | 1.22603 | − | 0.964159i | 0.226078 | − | 0.974109i | \(-0.427410\pi\) |
0.999950 | + | 0.00994985i | \(0.00316719\pi\) | |||||||
\(458\) | −5.94784 | − | 0.664007i | −0.277924 | − | 0.0310270i | ||||
\(459\) | 0.282451 | − | 1.16428i | 0.0131837 | − | 0.0543438i | ||||
\(460\) | 56.1591 | + | 24.5927i | 2.61843 | + | 1.14664i | ||||
\(461\) | −3.16903 | + | 22.0411i | −0.147596 | + | 1.02656i | 0.772542 | + | 0.634963i | \(0.218985\pi\) |
−0.920139 | + | 0.391592i | \(0.871924\pi\) | |||||||
\(462\) | 5.62780 | − | 0.178019i | 0.261829 | − | 0.00828220i | ||||
\(463\) | −20.9296 | + | 4.03385i | −0.972681 | + | 0.187469i | −0.650748 | − | 0.759293i | \(-0.725545\pi\) |
−0.321933 | + | 0.946762i | \(0.604333\pi\) | |||||||
\(464\) | 6.51993 | − | 15.5461i | 0.302680 | − | 0.721708i | ||||
\(465\) | 20.3942 | + | 14.5226i | 0.945757 | + | 0.673471i | ||||
\(466\) | −0.678322 | − | 0.142013i | −0.0314227 | − | 0.00657861i | ||||
\(467\) | −12.2980 | − | 23.8547i | −0.569082 | − | 1.10386i | −0.981247 | − | 0.192755i | \(-0.938258\pi\) |
0.412165 | − | 0.911109i | \(-0.364773\pi\) | |||||||
\(468\) | −0.0620159 | − | 0.388127i | −0.00286668 | − | 0.0179412i | ||||
\(469\) | 4.53159 | + | 8.18507i | 0.209250 | + | 0.377951i | ||||
\(470\) | 6.06294 | + | 76.3714i | 0.279663 | + | 3.52275i | ||||
\(471\) | 0.955799 | − | 0.492749i | 0.0440409 | − | 0.0227047i | ||||
\(472\) | −33.2437 | − | 1.59476i | −1.53016 | − | 0.0734046i | ||||
\(473\) | 17.5841 | − | 24.6935i | 0.808520 | − | 1.13541i | ||||
\(474\) | −4.76247 | − | 3.50735i | −0.218747 | − | 0.161098i | ||||
\(475\) | −11.8164 | − | 61.3094i | −0.542175 | − | 2.81307i | ||||
\(476\) | 0.302947 | + | 2.72191i | 0.0138855 | + | 0.124759i | ||||
\(477\) | −4.57836 | − | 0.658268i | −0.209629 | − | 0.0301400i | ||||
\(478\) | 11.2063 | − | 20.9100i | 0.512566 | − | 0.956403i | ||||
\(479\) | 7.77502 | + | 1.88620i | 0.355250 | + | 0.0861827i | 0.409412 | − | 0.912349i | \(-0.365734\pi\) |
−0.0541625 | + | 0.998532i | \(0.517249\pi\) | |||||||
\(480\) | −23.7629 | + | 4.95835i | −1.08462 | + | 0.226317i | ||||
\(481\) | −0.0801576 | − | 0.101929i | −0.00365487 | − | 0.00464755i | ||||
\(482\) | −8.97394 | + | 28.8490i | −0.408752 | + | 1.31404i | ||||
\(483\) | 7.42704 | − | 3.39181i | 0.337942 | − | 0.154333i | ||||
\(484\) | −1.69027 | + | 1.51156i | −0.0768304 | + | 0.0687073i | ||||
\(485\) | 6.61103 | + | 19.1013i | 0.300192 | + | 0.867346i | ||||
\(486\) | 1.08345 | − | 0.908918i | 0.0491464 | − | 0.0412294i | ||||
\(487\) | 9.76023 | + | 0.931989i | 0.442278 | + | 0.0422325i | 0.313820 | − | 0.949482i | \(-0.398391\pi\) |
0.128458 | + | 0.991715i | \(0.458997\pi\) | |||||||
\(488\) | −3.04678 | − | 10.3893i | −0.137921 | − | 0.470300i | ||||
\(489\) | 5.45314 | − | 1.32292i | 0.246599 | − | 0.0598244i | ||||
\(490\) | 8.68151 | − | 33.4440i | 0.392191 | − | 1.51085i | ||||
\(491\) | 11.8324 | + | 40.2974i | 0.533988 | + | 1.81859i | 0.573270 | + | 0.819367i | \(0.305675\pi\) |
−0.0392820 | + | 0.999228i | \(0.512507\pi\) | |||||||
\(492\) | 0.490444 | + | 0.373422i | 0.0221109 | + | 0.0168352i | ||||
\(493\) | 2.09749 | − | 4.59287i | 0.0944664 | − | 0.206853i | ||||
\(494\) | −1.26187 | + | 0.284859i | −0.0567744 | + | 0.0128164i | ||||
\(495\) | 1.42088 | + | 14.8801i | 0.0638637 | + | 0.668811i | ||||
\(496\) | −20.0179 | − | 11.9969i | −0.898830 | − | 0.538678i | ||||
\(497\) | −1.65918 | + | 2.10982i | −0.0744246 | + | 0.0946385i | ||||
\(498\) | −8.17629 | − | 11.8792i | −0.366388 | − | 0.532320i | ||||
\(499\) | 6.62620 | − | 11.4769i | 0.296630 | − | 0.513778i | −0.678733 | − | 0.734385i | \(-0.737471\pi\) |
0.975363 | + | 0.220608i | \(0.0708040\pi\) | |||||||
\(500\) | −37.0818 | − | 61.9683i | −1.65835 | − | 2.77131i | ||||
\(501\) | −4.55824 | + | 4.78055i | −0.203647 | + | 0.213579i | ||||
\(502\) | −6.77802 | + | 16.1767i | −0.302518 | + | 0.722000i | ||||
\(503\) | −36.9915 | − | 19.0705i | −1.64937 | − | 0.850310i | −0.995609 | − | 0.0936103i | \(-0.970159\pi\) |
−0.653763 | − | 0.756700i | \(-0.726810\pi\) | |||||||
\(504\) | −1.61737 | + | 2.79920i | −0.0720435 | + | 0.124686i | ||||
\(505\) | 62.7490 | − | 25.1209i | 2.79229 | − | 1.11787i | ||||
\(506\) | −15.1281 | + | 31.7724i | −0.672524 | + | 1.41245i | ||||
\(507\) | 6.48069 | + | 11.2249i | 0.287817 | + | 0.498515i | ||||
\(508\) | 7.75262 | − | 13.9266i | 0.343967 | − | 0.617892i | ||||
\(509\) | 10.6231 | + | 12.2598i | 0.470862 | + | 0.543404i | 0.940651 | − | 0.339375i | \(-0.110215\pi\) |
−0.469789 | + | 0.882779i | \(0.655670\pi\) | |||||||
\(510\) | −7.16025 | + | 1.26172i | −0.317061 | + | 0.0558699i | ||||
\(511\) | 0.303190 | + | 2.10874i | 0.0134124 | + | 0.0932850i | ||||
\(512\) | 21.7172 | − | 6.35305i | 0.959776 | − | 0.280768i | ||||
\(513\) | −3.21199 | − | 3.36864i | −0.141813 | − | 0.148729i | ||||
\(514\) | 13.7205 | + | 35.9253i | 0.605184 | + | 1.58460i | ||||
\(515\) | −9.51396 | + | 27.4888i | −0.419235 | + | 1.21130i | ||||
\(516\) | 6.72088 | + | 16.0554i | 0.295870 | + | 0.706799i | ||||
\(517\) | −43.9245 | + | 2.09238i | −1.93180 | + | 0.0920229i | ||||
\(518\) | −0.0170411 | + | 1.06642i | −0.000748741 | + | 0.0468558i | ||||
\(519\) | −6.04446 | − | 8.48826i | −0.265323 | − | 0.372593i | ||||
\(520\) | −2.00707 | + | 1.28892i | −0.0880159 | + | 0.0565227i | ||||
\(521\) | 18.4665 | + | 28.7345i | 0.809033 | + | 1.25888i | 0.962650 | + | 0.270750i | \(0.0872716\pi\) |
−0.153617 | + | 0.988131i | \(0.549092\pi\) | |||||||
\(522\) | 5.20862 | − | 2.89724i | 0.227975 | − | 0.126809i | ||||
\(523\) | −9.03135 | + | 22.5592i | −0.394913 | + | 0.986446i | 0.589053 | + | 0.808094i | \(0.299501\pi\) |
−0.983967 | + | 0.178352i | \(0.942923\pi\) | |||||||
\(524\) | 11.4295 | + | 10.5617i | 0.499301 | + | 0.461389i | ||||
\(525\) | −15.0555 | − | 2.90170i | −0.657075 | − | 0.126641i | ||||
\(526\) | 3.08833 | − | 19.2869i | 0.134658 | − | 0.840949i | ||||
\(527\) | −5.88027 | − | 3.77902i | −0.256148 | − | 0.164617i | ||||
\(528\) | −2.41338 | − | 13.7228i | −0.105029 | − | 0.597210i | ||||
\(529\) | −1.33366 | + | 27.9969i | −0.0579851 | + | 1.21726i | ||||
\(530\) | 7.47697 | + | 27.0562i | 0.324779 | + | 1.17524i | ||||
\(531\) | −8.89285 | − | 7.70570i | −0.385917 | − | 0.334399i | ||||
\(532\) | 9.53247 | + | 4.72707i | 0.413285 | + | 0.204945i | ||||
\(533\) | 0.0581180 | + | 0.0170650i | 0.00251737 | + | 0.000739166i | ||||
\(534\) | −13.3730 | − | 21.5585i | −0.578705 | − | 0.932927i | ||||
\(535\) | −15.8874 | −0.686872 | ||||||||
\(536\) | 18.4573 | − | 13.9760i | 0.797233 | − | 0.603672i | ||||
\(537\) | −23.8532 | −1.02934 | ||||||||
\(538\) | −4.97647 | − | 8.02254i | −0.214551 | − | 0.345876i | ||||
\(539\) | 19.0294 | + | 5.58753i | 0.819653 | + | 0.240672i | ||||
\(540\) | −7.68893 | − | 3.81288i | −0.330879 | − | 0.164080i | ||||
\(541\) | 26.2182 | + | 22.7182i | 1.12721 | + | 0.976733i | 0.999886 | − | 0.0151284i | \(-0.00481570\pi\) |
0.127324 | + | 0.991861i | \(0.459361\pi\) | |||||||
\(542\) | −1.68483 | − | 6.09671i | −0.0723695 | − | 0.261876i | ||||
\(543\) | −0.699726 | + | 14.6890i | −0.0300281 | + | 0.630367i | ||||
\(544\) | 6.56092 | − | 1.69841i | 0.281297 | − | 0.0728189i | ||||
\(545\) | −55.7853 | − | 35.8510i | −2.38958 | − | 1.53569i | ||||
\(546\) | −0.0502274 | + | 0.313674i | −0.00214953 | + | 0.0134240i | ||||
\(547\) | 32.0676 | + | 6.18052i | 1.37111 | + | 0.264260i | 0.821046 | − | 0.570862i | \(-0.193391\pi\) |
0.550065 | + | 0.835122i | \(0.314603\pi\) | |||||||
\(548\) | −10.8434 | − | 10.0201i | −0.463207 | − | 0.428035i | ||||
\(549\) | 1.42267 | − | 3.55366i | 0.0607181 | − | 0.151666i | ||||
\(550\) | 57.7495 | − | 32.1225i | 2.46245 | − | 1.36971i | ||||
\(551\) | −10.6054 | − | 16.5024i | −0.451807 | − | 0.703026i | ||||
\(552\) | −10.9178 | − | 17.0009i | −0.464692 | − | 0.723607i | ||||
\(553\) | 2.77284 | + | 3.89391i | 0.117913 | + | 0.165586i | ||||
\(554\) | 0.232241 | − | 14.5335i | 0.00986697 | − | 0.617469i | ||||
\(555\) | −2.82822 | + | 0.134725i | −0.120051 | + | 0.00571874i | ||||
\(556\) | −0.0217086 | − | 0.0518594i | −0.000920652 | − | 0.00219933i | ||||
\(557\) | −0.351746 | + | 1.01630i | −0.0149039 | + | 0.0430621i | −0.952207 | − | 0.305452i | \(-0.901192\pi\) |
0.937304 | + | 0.348514i | \(0.113314\pi\) | |||||||
\(558\) | −2.94384 | − | 7.70806i | −0.124622 | − | 0.326308i | ||||
\(559\) | 1.18024 | + | 1.23780i | 0.0499188 | + | 0.0523533i | ||||
\(560\) | 19.4974 | + | 2.18327i | 0.823914 | + | 0.0922600i | ||||
\(561\) | −0.593913 | − | 4.13075i | −0.0250750 | − | 0.174401i | ||||
\(562\) | −28.0328 | + | 4.93971i | −1.18249 | + | 0.208369i | ||||
\(563\) | −24.4345 | − | 28.1989i | −1.02979 | − | 1.18844i | −0.981863 | − | 0.189591i | \(-0.939284\pi\) |
−0.0479275 | − | 0.998851i | \(-0.515262\pi\) | |||||||
\(564\) | 12.2805 | − | 22.0604i | 0.517104 | − | 0.928911i | ||||
\(565\) | 0.00145136 | + | 0.00251382i | 6.10590e−5 | + | 0.000105757i | ||||
\(566\) | 12.7410 | − | 26.7589i | 0.535542 | − | 1.12476i | ||||
\(567\) | −1.06112 | + | 0.424807i | −0.0445627 | + | 0.0178402i | ||||
\(568\) | 5.75100 | + | 3.32291i | 0.241306 | + | 0.139426i | ||||
\(569\) | −3.90340 | − | 2.01234i | −0.163639 | − | 0.0843617i | 0.374461 | − | 0.927242i | \(-0.377828\pi\) |
−0.538100 | + | 0.842881i | \(0.680858\pi\) | |||||||
\(570\) | −10.9159 | + | 26.0524i | −0.457218 | + | 1.09121i | ||||
\(571\) | 4.27525 | − | 4.48375i | 0.178914 | − | 0.187639i | −0.628170 | − | 0.778076i | \(-0.716196\pi\) |
0.807084 | + | 0.590437i | \(0.201044\pi\) | |||||||
\(572\) | −0.703032 | − | 1.17485i | −0.0293952 | − | 0.0491231i | ||||
\(573\) | −6.30324 | + | 10.9175i | −0.263321 | + | 0.456086i | ||||
\(574\) | −0.282466 | − | 0.410391i | −0.0117899 | − | 0.0171294i | ||||
\(575\) | 59.2350 | − | 75.3235i | 2.47027 | − | 3.14121i | ||||
\(576\) | 7.42495 | + | 2.97828i | 0.309373 | + | 0.124095i | ||||
\(577\) | −3.37791 | − | 35.3751i | −0.140624 | − | 1.47268i | −0.740212 | − | 0.672374i | \(-0.765275\pi\) |
0.599588 | − | 0.800309i | \(-0.295331\pi\) | |||||||
\(578\) | −21.4715 | + | 4.84703i | −0.893096 | + | 0.201610i | ||||
\(579\) | 7.20522 | − | 15.7772i | 0.299439 | − | 0.655680i | ||||
\(580\) | −28.7781 | − | 21.9116i | −1.19495 | − | 0.909828i | ||||
\(581\) | 3.28369 | + | 11.1832i | 0.136231 | + | 0.463959i | ||||
\(582\) | 1.67372 | − | 6.44773i | 0.0693781 | − | 0.267267i | ||||
\(583\) | −15.6579 | + | 3.79856i | −0.648483 | + | 0.157320i | ||||
\(584\) | 5.05885 | − | 1.48357i | 0.209337 | − | 0.0613906i | ||||
\(585\) | −0.839511 | − | 0.0801636i | −0.0347095 | − | 0.00331436i | ||||
\(586\) | −33.8033 | + | 28.3579i | −1.39640 | + | 1.17145i | ||||
\(587\) | −0.541411 | − | 1.56431i | −0.0223464 | − | 0.0645658i | 0.933276 | − | 0.359160i | \(-0.116937\pi\) |
−0.955622 | + | 0.294594i | \(0.904816\pi\) | |||||||
\(588\) | −8.48813 | + | 7.59070i | −0.350045 | + | 0.313035i | ||||
\(589\) | −24.7023 | + | 11.2812i | −1.01784 | + | 0.464832i | ||||
\(590\) | −21.2106 | + | 68.1869i | −0.873227 | + | 2.80721i | ||||
\(591\) | −7.89212 | − | 10.0356i | −0.324638 | − | 0.412811i | ||||
\(592\) | 2.61820 | − | 0.332944i | 0.107607 | − | 0.0136839i | ||||
\(593\) | −33.6583 | − | 8.16542i | −1.38218 | − | 0.335314i | −0.525339 | − | 0.850893i | \(-0.676062\pi\) |
−0.856842 | + | 0.515579i | \(0.827577\pi\) | |||||||
\(594\) | 2.32699 | − | 4.34197i | 0.0954776 | − | 0.178153i | ||||
\(595\) | 5.81638 | + | 0.836270i | 0.238448 | + | 0.0342837i | ||||
\(596\) | 1.37889 | + | 12.3890i | 0.0564814 | + | 0.507474i | ||||
\(597\) | 4.25314 | + | 22.0674i | 0.174069 | + | 0.903158i | ||||
\(598\) | −1.59862 | − | 1.17732i | −0.0653726 | − | 0.0481441i | ||||
\(599\) | 3.20104 | − | 4.49523i | 0.130791 | − | 0.183670i | −0.743987 | − | 0.668194i | \(-0.767068\pi\) |
0.874778 | + | 0.484524i | \(0.161007\pi\) | |||||||
\(600\) | −1.81804 | + | 37.8981i | −0.0742210 | + | 1.54718i | ||||
\(601\) | −24.1185 | + | 12.4340i | −0.983815 | + | 0.507192i | −0.873563 | − | 0.486712i | \(-0.838196\pi\) |
−0.110252 | + | 0.993904i | \(0.535166\pi\) | |||||||
\(602\) | −1.11327 | − | 14.0232i | −0.0453733 | − | 0.571542i | ||||
\(603\) | 8.18403 | + | 0.147035i | 0.333280 | + | 0.00598772i | ||||
\(604\) | 6.03635 | + | 37.7786i | 0.245615 | + | 1.53719i | ||||
\(605\) | 2.22940 | + | 4.32443i | 0.0906380 | + | 0.175813i | ||||
\(606\) | −21.8026 | − | 4.56456i | −0.885669 | − | 0.185422i | ||||
\(607\) | 4.24997 | + | 3.02639i | 0.172501 | + | 0.122837i | 0.663047 | − | 0.748578i | \(-0.269263\pi\) |
−0.490546 | + | 0.871415i | \(0.663203\pi\) | |||||||
\(608\) | 8.22981 | − | 25.0108i | 0.333763 | − | 1.01432i | ||||
\(609\) | −4.73006 | + | 0.911645i | −0.191672 | + | 0.0369417i | ||||
\(610\) | −23.2184 | + | 0.734447i | −0.940086 | + | 0.0297369i | ||||
\(611\) | 0.353077 | − | 2.45571i | 0.0142840 | − | 0.0993472i | ||||
\(612\) | 2.19487 | + | 0.961159i | 0.0887224 | + | 0.0388525i | ||||
\(613\) | −6.50421 | + | 26.8107i | −0.262702 | + | 1.08287i | 0.675658 | + | 0.737215i | \(0.263860\pi\) |
−0.938360 | + | 0.345659i | \(0.887655\pi\) | |||||||
\(614\) | −35.6112 | − | 3.97558i | −1.43715 | − | 0.160441i | ||||
\(615\) | 1.03964 | − | 0.817578i | 0.0419221 | − | 0.0329679i | ||||
\(616\) | −1.60638 | + | 11.1461i | −0.0647227 | + | 0.449088i | ||||
\(617\) | 12.2263 | + | 26.7719i | 0.492214 | + | 1.07780i | 0.978922 | + | 0.204233i | \(0.0654700\pi\) |
−0.486709 | + | 0.873564i | \(0.661803\pi\) | |||||||
\(618\) | 7.62921 | − | 5.80482i | 0.306892 | − | 0.233504i | ||||
\(619\) | −40.7695 | + | 14.1105i | −1.63867 | + | 0.567148i | −0.982303 | − | 0.187297i | \(-0.940027\pi\) |
−0.656363 | + | 0.754445i | \(0.727906\pi\) | |||||||
\(620\) | −35.6947 | + | 35.1171i | −1.43353 | + | 1.41034i | ||||
\(621\) | 0.679026 | − | 7.11109i | 0.0272484 | − | 0.285358i | ||||
\(622\) | −21.2591 | + | 2.71066i | −0.852414 | + | 0.108688i | ||||
\(623\) | 4.83399 | + | 19.9260i | 0.193670 | + | 0.798317i | ||||
\(624\) | 0.785997 | + | 0.0128234i | 0.0314651 | + | 0.000513347i | ||||
\(625\) | −84.3148 | + | 24.7571i | −3.37259 | + | 0.990282i | ||||
\(626\) | −30.3344 | + | 33.8979i | −1.21241 | + | 1.35483i | ||||
\(627\) | −14.7482 | − | 6.73529i | −0.588987 | − | 0.268981i | ||||
\(628\) | 0.638121 | + | 2.05383i | 0.0254638 | + | 0.0819567i | ||||
\(629\) | 0.786918 | − | 0.0751416i | 0.0313765 | − | 0.00299609i | ||||
\(630\) | 4.94302 | + | 4.86629i | 0.196935 | + | 0.193878i | ||||
\(631\) | −1.31899 | − | 1.03726i | −0.0525080 | − | 0.0412928i | 0.591560 | − | 0.806261i | \(-0.298512\pi\) |
−0.644068 | + | 0.764968i | \(0.722755\pi\) | |||||||
\(632\) | 8.56395 | − | 8.16023i | 0.340656 | − | 0.324597i | ||||
\(633\) | −12.8419 | − | 7.41427i | −0.510419 | − | 0.294691i | ||||
\(634\) | 10.9888 | + | 22.1784i | 0.436423 | + | 0.880818i | ||||
\(635\) | −24.7508 | − | 23.5999i | −0.982207 | − | 0.936532i | ||||
\(636\) | 2.88855 | − | 8.78834i | 0.114538 | − | 0.348481i | ||||
\(637\) | −0.512724 | + | 0.994546i | −0.0203149 | + | 0.0394053i | ||||
\(638\) | 13.0930 | − | 16.1125i | 0.518356 | − | 0.637898i | ||||
\(639\) | 0.872771 | + | 2.18008i | 0.0345263 | + | 0.0862425i | ||||
\(640\) | −1.50243 | − | 48.5261i | −0.0593889 | − | 1.91816i | ||||
\(641\) | −7.68076 | + | 4.43449i | −0.303372 | + | 0.175152i | −0.643957 | − | 0.765062i | \(-0.722708\pi\) |
0.340585 | + | 0.940214i | \(0.389375\pi\) | |||||||
\(642\) | 4.35890 | + | 2.90074i | 0.172032 | + | 0.114483i | ||||
\(643\) | −27.3615 | + | 23.7088i | −1.07903 | + | 0.934985i | −0.998093 | − | 0.0617337i | \(-0.980337\pi\) |
−0.0809380 | + | 0.996719i | \(0.525792\pi\) | |||||||
\(644\) | 4.09766 | + | 15.8073i | 0.161470 | + | 0.622894i | ||||
\(645\) | 36.9648 | − | 5.31474i | 1.45549 | − | 0.209268i | ||||
\(646\) | 2.69805 | − | 7.41026i | 0.106153 | − | 0.291553i | ||||
\(647\) | −27.4288 | + | 26.1533i | −1.07834 | + | 1.02819i | −0.0788271 | + | 0.996888i | \(0.525118\pi\) |
−0.999510 | + | 0.0313040i | \(0.990034\pi\) | |||||||
\(648\) | 1.41339 | + | 2.44996i | 0.0555233 | + | 0.0962437i | ||||
\(649\) | −38.7341 | − | 13.4060i | −1.52045 | − | 0.526231i | ||||
\(650\) | 1.16294 | + | 3.54223i | 0.0456144 | + | 0.138938i | ||||
\(651\) | 0.317308 | + | 6.66111i | 0.0124363 | + | 0.261069i | ||||
\(652\) | 0.709281 | + | 11.2002i | 0.0277776 | + | 0.438633i | ||||
\(653\) | 19.8017 | − | 14.1007i | 0.774901 | − | 0.551804i | −0.122789 | − | 0.992433i | \(-0.539184\pi\) |
0.897690 | + | 0.440628i | \(0.145244\pi\) | |||||||
\(654\) | 8.75966 | + | 20.0215i | 0.342530 | + | 0.782904i | ||||
\(655\) | 28.0897 | − | 18.0522i | 1.09756 | − | 0.705357i | ||||
\(656\) | −0.906015 | + | 0.836095i | −0.0353739 | + | 0.0326440i | ||||
\(657\) | 1.73038 | + | 0.692741i | 0.0675087 | + | 0.0270264i | ||||
\(658\) | −14.9917 | + | 13.8440i | −0.584436 | + | 0.539696i | ||||
\(659\) | −4.29887 | + | 22.3047i | −0.167460 | + | 0.868867i | 0.796867 | + | 0.604155i | \(0.206489\pi\) |
−0.964327 | + | 0.264712i | \(0.914723\pi\) | |||||||
\(660\) | −29.8010 | − | 2.37588i | −1.16000 | − | 0.0924810i | ||||
\(661\) | 9.48852 | − | 14.7644i | 0.369061 | − | 0.574270i | −0.606204 | − | 0.795309i | \(-0.707309\pi\) |
0.975265 | + | 0.221039i | \(0.0709449\pi\) | |||||||
\(662\) | −10.4062 | − | 0.662500i | −0.404448 | − | 0.0257488i | ||||
\(663\) | 0.235180 | + | 0.0112030i | 0.00913364 | + | 0.000435089i | ||||
\(664\) | 26.2398 | − | 11.9727i | 1.01830 | − | 0.464630i | ||||
\(665\) | 14.9502 | − | 17.2534i | 0.579743 | − | 0.669059i | ||||
\(666\) | 0.800555 | + | 0.479416i | 0.0310209 | + | 0.0185770i | ||||
\(667\) | 8.48181 | − | 28.8864i | 0.328417 | − | 1.11848i | ||||
\(668\) | −7.83040 | − | 10.6400i | −0.302967 | − | 0.411674i | ||||
\(669\) | − | 4.07127i | − | 0.157405i | ||||||
\(670\) | −19.0901 | − | 45.8595i | −0.737516 | − | 1.77171i | ||||
\(671\) | − | 13.3338i | − | 0.514745i | ||||||
\(672\) | −4.95072 | − | 4.15886i | −0.190978 | − | 0.160431i | ||||
\(673\) | 10.0196 | − | 34.1236i | 0.386227 | − | 1.31537i | −0.505513 | − | 0.862819i | \(-0.668697\pi\) |
0.891740 | − | 0.452548i | \(-0.149485\pi\) | |||||||
\(674\) | −13.0066 | + | 21.7191i | −0.500995 | + | 0.836588i | ||||
\(675\) | −8.78457 | + | 10.1379i | −0.338118 | + | 0.390209i | ||||
\(676\) | −24.3614 | + | 8.86066i | −0.936977 | + | 0.340795i | ||||
\(677\) | −28.5784 | − | 1.36136i | −1.09836 | − | 0.0523213i | −0.509435 | − | 0.860509i | \(-0.670145\pi\) |
−0.588924 | + | 0.808188i | \(0.700448\pi\) | |||||||
\(678\) | 6.07793e−5 | 0 | 0.000954689i | 2.33422e−6 | 0 | 3.66646e-5i | ||||
\(679\) | −2.91074 | + | 4.52921i | −0.111704 | + | 0.173815i | ||||
\(680\) | 0.00487239 | − | 14.5411i | 0.000186848 | − | 0.557627i | ||||
\(681\) | −3.04067 | + | 15.7765i | −0.116519 | + | 0.604556i | ||||
\(682\) | −19.4990 | − | 21.1154i | −0.746655 | − | 0.808551i | ||||
\(683\) | 38.5007 | + | 15.4134i | 1.47319 | + | 0.589775i | 0.962811 | − | 0.270175i | \(-0.0870817\pi\) |
0.510377 | + | 0.859951i | \(0.329506\pi\) | |||||||
\(684\) | 7.75159 | − | 5.15474i | 0.296390 | − | 0.197097i | ||||
\(685\) | −26.6492 | + | 17.1264i | −1.01822 | + | 0.654367i | ||||
\(686\) | 18.7979 | − | 8.22432i | 0.717708 | − | 0.314006i | ||||
\(687\) | 3.44719 | − | 2.45473i | 0.131518 | − | 0.0936539i | ||||
\(688\) | −33.9588 | + | 7.65399i | −1.29467 | + | 0.291806i | ||||
\(689\) | −0.0432527 | − | 0.907986i | −0.00164780 | − | 0.0345915i | ||||
\(690\) | −41.1882 | + | 13.5224i | −1.56801 | + | 0.514790i | ||||
\(691\) | 13.6752 | + | 4.73303i | 0.520229 | + | 0.180053i | 0.574548 | − | 0.818471i | \(-0.305178\pi\) |
−0.0543196 | + | 0.998524i | \(0.517299\pi\) | |||||||
\(692\) | 18.8198 | − | 8.95312i | 0.715423 | − | 0.340347i | ||||
\(693\) | −2.88151 | + | 2.74751i | −0.109459 | + | 0.104369i | ||||
\(694\) | −22.1308 | − | 8.05775i | −0.840073 | − | 0.305868i | ||||
\(695\) | −0.119397 | + | 0.0171668i | −0.00452900 | + | 0.000651172i | ||||
\(696\) | 3.89499 | + | 11.2661i | 0.147639 | + | 0.427039i | ||||
\(697\) | −0.279063 | + | 0.241810i | −0.0105703 | + | 0.00915919i | ||||
\(698\) | 13.0245 | − | 19.5717i | 0.492985 | − | 0.740801i | ||||
\(699\) | 0.424392 | − | 0.245023i | 0.0160520 | − | 0.00926761i | ||||
\(700\) | 10.9504 | − | 28.6433i | 0.413884 | − | 1.08261i | ||||
\(701\) | 0.714789 | + | 1.78546i | 0.0269972 | + | 0.0674357i | 0.941254 | − | 0.337699i | \(-0.109649\pi\) |
−0.914257 | + | 0.405135i | \(0.867224\pi\) | |||||||
\(702\) | 0.215694 | + | 0.175273i | 0.00814084 | + | 0.00661525i | ||||
\(703\) | 1.40729 | − | 2.72975i | 0.0530768 | − | 0.102955i | ||||
\(704\) | 27.8669 | + | 0.0186750i | 1.05027 | + | 0.000703842i | ||||
\(705\) | −39.2066 | − | 37.3834i | −1.47660 | − | 1.40794i | ||||
\(706\) | 41.0845 | − | 20.3563i | 1.54624 | − | 0.766120i | ||||
\(707\) | 15.5913 | + | 9.00162i | 0.586370 | + | 0.338541i | ||||
\(708\) | 18.2690 | − | 14.8353i | 0.686592 | − | 0.557543i | ||||
\(709\) | 6.02079 | + | 4.73480i | 0.226115 | + | 0.177819i | 0.724789 | − | 0.688971i | \(-0.241937\pi\) |
−0.498674 | + | 0.866790i | \(0.666180\pi\) | |||||||
\(710\) | 9.99785 | − | 10.1555i | 0.375213 | − | 0.381129i | ||||
\(711\) | 4.16333 | − | 0.397549i | 0.156137 | − | 0.0149093i | ||||
\(712\) | 47.1105 | − | 18.8419i | 1.76554 | − | 0.706130i | ||||
\(713\) | −37.9113 | − | 17.3135i | −1.41979 | − | 0.648396i | ||||
\(714\) | −1.44311 | − | 1.29140i | −0.0540070 | − | 0.0483296i | ||||
\(715\) | −2.81863 | + | 0.827623i | −0.105411 | + | 0.0309513i | ||||
\(716\) | 8.29461 | − | 46.9797i | 0.309984 | − | 1.75571i | ||||
\(717\) | 3.95489 | + | 16.3023i | 0.147698 | + | 0.608820i | ||||
\(718\) | 5.34483 | + | 41.9184i | 0.199467 | + | 1.56438i | ||||
\(719\) | −1.40006 | + | 14.6621i | −0.0522135 | + | 0.546804i | 0.931085 | + | 0.364803i | \(0.118864\pi\) |
−0.983298 | + | 0.182001i | \(0.941742\pi\) | |||||||
\(720\) | 10.1833 | − | 13.8178i | 0.379510 | − | 0.514957i | ||||
\(721\) | −7.32183 | + | 2.53411i | −0.272679 | + | 0.0943752i | ||||
\(722\) | −2.28183 | − | 2.99898i | −0.0849209 | − | 0.111611i | ||||
\(723\) | −8.87472 | − | 19.4329i | −0.330054 | − | 0.722718i | ||||
\(724\) | −28.6873 | − | 6.48605i | −1.06616 | − | 0.241052i | ||||
\(725\) | −44.4393 | + | 34.9475i | −1.65044 | + | 1.29792i | ||||
\(726\) | 0.177897 | − | 1.59351i | 0.00660237 | − | 0.0591406i | ||||
\(727\) | −10.8596 | + | 44.7641i | −0.402762 | + | 1.66021i | 0.303937 | + | 0.952692i | \(0.401699\pi\) |
−0.706699 | + | 0.707515i | \(0.749816\pi\) | |||||||
\(728\) | −0.600327 | − | 0.208001i | −0.0222496 | − | 0.00770902i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −0.357625 | − | 11.3057i | −0.0132363 | − | 0.418444i | ||||
\(731\) | −10.2378 | + | 1.97318i | −0.378659 | + | 0.0729805i | ||||
\(732\) | 6.50435 | + | 4.03774i | 0.240408 | + | 0.149239i | ||||
\(733\) | 30.7329 | + | 21.8848i | 1.13515 | + | 0.808334i | 0.983644 | − | 0.180123i | \(-0.0576496\pi\) |
0.151502 | + | 0.988457i | \(0.451589\pi\) | |||||||
\(734\) | −1.92106 | + | 9.17593i | −0.0709076 | + | 0.338690i | ||||
\(735\) | 11.1955 | + | 21.7163i | 0.412953 | + | 0.801016i | ||||
\(736\) | 37.2805 | − | 15.5911i | 1.37418 | − | 0.574697i | ||||
\(737\) | 26.6562 | − | 10.1198i | 0.981893 | − | 0.372769i | ||||
\(738\) | −0.434511 | + | 0.0344948i | −0.0159946 | + | 0.00126977i | ||||
\(739\) | 4.07673 | − | 2.10170i | 0.149965 | − | 0.0773123i | −0.381611 | − | 0.924323i | \(-0.624630\pi\) |
0.531576 | + | 0.847011i | \(0.321600\pi\) | |||||||
\(740\) | 0.718129 | − | 5.61713i | 0.0263989 | − | 0.206490i | ||||
\(741\) | 0.530597 | − | 0.745119i | 0.0194920 | − | 0.0273726i | ||||
\(742\) | −4.43367 | + | 6.02028i | −0.162765 | + | 0.221011i | ||||
\(743\) | −6.92144 | − | 35.9119i | −0.253923 | − | 1.31748i | −0.855142 | − | 0.518394i | \(-0.826530\pi\) |
0.601219 | − | 0.799084i | \(-0.294682\pi\) | |||||||
\(744\) | 16.2050 | − | 3.11762i | 0.594104 | − | 0.114298i | ||||
\(745\) | 26.4738 | + | 3.80635i | 0.969924 | + | 0.139454i | ||||
\(746\) | 17.4069 | + | 9.32887i | 0.637310 | + | 0.341554i | ||||
\(747\) | 9.90980 | + | 2.40409i | 0.362581 | + | 0.0879611i | ||||
\(748\) | 8.34220 | + | 0.266680i | 0.305021 | + | 0.00975077i | ||||
\(749\) | −2.61587 | − | 3.32636i | −0.0955820 | − | 0.121542i | ||||
\(750\) | 48.7597 | + | 15.1675i | 1.78045 | + | 0.553838i | ||||
\(751\) | −22.8383 | + | 10.4299i | −0.833381 | + | 0.380592i | −0.785956 | − | 0.618283i | \(-0.787829\pi\) |
−0.0474249 | + | 0.998875i | \(0.515101\pi\) | |||||||
\(752\) | 39.1784 | + | 31.8582i | 1.42869 | + | 1.16175i | ||||
\(753\) | −4.05634 | − | 11.7200i | −0.147821 | − | 0.427102i | ||||
\(754\) | 0.752814 | + | 0.897372i | 0.0274159 | + | 0.0326804i | ||||
\(755\) | 81.7143 | + | 7.80277i | 2.97389 | + | 0.283972i | ||||
\(756\) | −0.467685 | − | 2.23763i | −0.0170095 | − | 0.0813818i | ||||
\(757\) | 6.46697 | − | 1.56887i | 0.235046 | − | 0.0570215i | −0.116506 | − | 0.993190i | \(-0.537169\pi\) |
0.351552 | + | 0.936168i | \(0.385654\pi\) | |||||||
\(758\) | −16.3676 | − | 4.24875i | −0.594498 | − | 0.154322i | ||||
\(759\) | −7.01039 | − | 23.8752i | −0.254461 | − | 0.866615i | ||||
\(760\) | −47.5152 | − | 30.5587i | −1.72356 | − | 1.10848i | ||||
\(761\) | 8.00833 | − | 17.5358i | 0.290302 | − | 0.635672i | −0.707146 | − | 0.707067i | \(-0.750018\pi\) |
0.997448 | + | 0.0713951i | \(0.0227451\pi\) | |||||||
\(762\) | 2.48180 | + | 10.9940i | 0.0899063 | + | 0.398269i | ||||
\(763\) | −1.67895 | − | 17.5827i | −0.0607819 | − | 0.636537i | ||||
\(764\) | −19.3106 | − | 16.2109i | −0.698634 | − | 0.586489i | ||||
\(765\) | 3.17800 | − | 4.04115i | 0.114901 | − | 0.146108i | ||||
\(766\) | −10.7321 | + | 7.38676i | −0.387767 | + | 0.266894i | ||||
\(767\) | 1.15625 | − | 2.00268i | 0.0417498 | − | 0.0723127i | ||||
\(768\) | −8.44775 | + | 13.5881i | −0.304832 | + | 0.490317i | ||||
\(769\) | 7.01354 | − | 7.35559i | 0.252915 | − | 0.265250i | −0.585021 | − | 0.811018i | \(-0.698914\pi\) |
0.837936 | + | 0.545769i | \(0.183762\pi\) | |||||||
\(770\) | 22.2850 | + | 9.33740i | 0.803095 | + | 0.336497i | ||||
\(771\) | −24.1698 | − | 12.4604i | −0.870453 | − | 0.448750i | ||||
\(772\) | 28.5683 | + | 19.6773i | 1.02820 | + | 0.708201i | ||||
\(773\) | −34.6865 | + | 13.8864i | −1.24759 | + | 0.499458i | −0.899054 | − | 0.437839i | \(-0.855744\pi\) |
−0.348532 | + | 0.937297i | \(0.613320\pi\) | |||||||
\(774\) | −11.1121 | − | 5.29092i | −0.399417 | − | 0.190178i | ||||
\(775\) | 39.1325 | + | 67.7794i | 1.40568 | + | 2.43471i | ||||
\(776\) | 12.1170 | + | 5.53858i | 0.434976 | + | 0.198823i | ||||
\(777\) | −0.493876 | − | 0.569963i | −0.0177177 | − | 0.0204473i | ||||
\(778\) | −0.860110 | − | 4.88112i | −0.0308365 | − | 0.174997i | ||||
\(779\) | 0.204163 | + | 1.41998i | 0.00731488 | + | 0.0508761i | ||||
\(780\) | 0.449814 | − | 1.62557i | 0.0161059 | − | 0.0582049i | ||||
\(781\) | 5.64480 | + | 5.92009i | 0.201987 | + | 0.211838i | ||||
\(782\) | 11.3066 | − | 4.31816i | 0.404322 | − | 0.154417i | ||||
\(783\) | −1.37842 | + | 3.98269i | −0.0492608 | + | 0.142330i | ||||
\(784\) | −11.9985 | − | 19.3573i | −0.428519 | − | 0.691330i | ||||
\(785\) | 4.60927 | − | 0.219566i | 0.164512 | − | 0.00783666i | ||||
\(786\) | −11.0028 | − | 0.175820i | −0.392455 | − | 0.00627131i | ||||
\(787\) | −14.5830 | − | 20.4790i | −0.519828 | − | 0.729996i | 0.468310 | − | 0.883564i | \(-0.344863\pi\) |
−0.988138 | + | 0.153568i | \(0.950924\pi\) | |||||||
\(788\) | 22.5100 | − | 12.0541i | 0.801884 | − | 0.429408i | ||||
\(789\) | 7.46713 | + | 11.6191i | 0.265837 | + | 0.413650i | ||||
\(790\) | −12.3376 | − | 22.1804i | −0.438951 | − | 0.789142i | ||||
\(791\) | −0.000287354 | 0 | 0.000717775i | −1.02171e−5 | 0 | 2.55211e-5i | ||||
\(792\) | 7.74249 | + | 6.09296i | 0.275117 | + | 0.216504i | ||||
\(793\) | 0.738676 | + | 0.142368i | 0.0262312 | + | 0.00505564i | ||||
\(794\) | 27.7957 | + | 4.45082i | 0.986434 | + | 0.157954i | ||||
\(795\) | −16.6978 | − | 10.7310i | −0.592209 | − | 0.380590i | ||||
\(796\) | −44.9415 | + | 0.703089i | −1.59291 | + | 0.0249203i | ||||
\(797\) | 0.759911 | − | 15.9525i | 0.0269174 | − | 0.565067i | −0.944618 | − | 0.328172i | \(-0.893567\pi\) |
0.971535 | − | 0.236894i | \(-0.0761296\pi\) | |||||||
\(798\) | −7.25192 | + | 2.00407i | −0.256715 | + | 0.0709433i | ||||
\(799\) | 11.4302 | + | 9.90431i | 0.404371 | + | 0.350389i | ||||
\(800\) | −74.0095 | − | 16.7592i | −2.61663 | − | 0.592528i | ||||
\(801\) | 17.2122 | + | 5.05396i | 0.608163 | + | 0.178573i | ||||
\(802\) | 4.98967 | − | 3.09515i | 0.176191 | − | 0.109293i | ||||
\(803\) | 6.49263 | 0.229120 | ||||||||
\(804\) | −3.13548 | + | 16.0676i | −0.110580 | + | 0.566662i | ||||
\(805\) | 35.0371 | 1.23490 | ||||||||
\(806\) | 1.37796 | − | 0.854766i | 0.0485367 | − | 0.0301079i | ||||
\(807\) | 6.40516 | + | 1.88073i | 0.225472 | + | 0.0662047i | ||||
\(808\) | 16.5716 | − | 41.3537i | 0.582987 | − | 1.45482i | ||||
\(809\) | −3.23445 | − | 2.80266i | −0.113717 | − | 0.0985364i | 0.596146 | − | 0.802876i | \(-0.296698\pi\) |
−0.709863 | + | 0.704339i | \(0.751243\pi\) | |||||||
\(810\) | 5.84943 | − | 1.61649i | 0.205528 | − | 0.0567977i | ||||
\(811\) | −0.984515 | + | 20.6675i | −0.0345710 | + | 0.725734i | 0.913340 | + | 0.407198i | \(0.133494\pi\) |
−0.947911 | + | 0.318536i | \(0.896809\pi\) | |||||||
\(812\) | −0.150705 | − | 9.63305i | −0.00528869 | − | 0.338054i | ||||
\(813\) | 3.76260 | + | 2.41808i | 0.131960 | + | 0.0848057i | ||||
\(814\) | 3.20953 | + | 0.513929i | 0.112494 | + | 0.0180132i | ||||
\(815\) | 23.6441 | + | 4.55703i | 0.828217 | + | 0.159626i | ||||
\(816\) | −2.65627 | + | 3.98865i | −0.0929882 | + | 0.139631i | ||||
\(817\) | −15.0549 | + | 37.6053i | −0.526703 | + | 1.31564i | ||||
\(818\) | −12.8285 | − | 23.0629i | −0.448537 | − | 0.806374i | ||||
\(819\) | −0.121442 | − | 0.188968i | −0.00424354 | − | 0.00660308i | ||||
\(820\) | 1.24873 | + | 2.33190i | 0.0436076 | + | 0.0814336i | ||||
\(821\) | 11.8181 | + | 16.5961i | 0.412453 | + | 0.579209i | 0.967583 | − | 0.252555i | \(-0.0812708\pi\) |
−0.555130 | + | 0.831764i | \(0.687331\pi\) | |||||||
\(822\) | 10.4385 | + | 0.166804i | 0.364085 | + | 0.00581796i | ||||
\(823\) | 52.3390 | − | 2.49321i | 1.82442 | − | 0.0869079i | 0.892825 | − | 0.450403i | \(-0.148720\pi\) |
0.931596 | + | 0.363495i | \(0.118417\pi\) | |||||||
\(824\) | 8.77985 | + | 17.0446i | 0.305861 | + | 0.593775i | ||||
\(825\) | −15.2830 | + | 44.1572i | −0.532085 | + | 1.53736i | ||||
\(826\) | −17.7687 | + | 6.78615i | −0.618251 | + | 0.236121i | ||||
\(827\) | 22.2697 | + | 23.3558i | 0.774393 | + | 0.812160i | 0.986271 | − | 0.165136i | \(-0.0528063\pi\) |
−0.211878 | + | 0.977296i | \(0.567958\pi\) | |||||||
\(828\) | 13.7694 | + | 3.81015i | 0.478521 | + | 0.132412i | ||||
\(829\) | 5.74858 | + | 39.9823i | 0.199656 | + | 1.38864i | 0.805282 | + | 0.592892i | \(0.202014\pi\) |
−0.605626 | + | 0.795749i | \(0.707077\pi\) | |||||||
\(830\) | −10.7392 | − | 60.9448i | −0.372763 | − | 2.11542i | ||||
\(831\) | 6.73069 | + | 7.76763i | 0.233485 | + | 0.269456i | ||||
\(832\) | −0.298576 | + | 1.54359i | −0.0103513 | + | 0.0535144i | ||||
\(833\) | −3.41059 | − | 5.90731i | −0.118170 | − | 0.204676i | ||||
\(834\) | 0.0358925 | + | 0.0170898i | 0.00124285 | + | 0.000591772i | ||||
\(835\) | −26.3147 | + | 10.5348i | −0.910656 | + | 0.364572i | ||||
\(836\) | 18.3939 | − | 26.7051i | 0.636166 | − | 0.923614i | ||||
\(837\) | 5.18582 | + | 2.67347i | 0.179248 | + | 0.0924088i | ||||
\(838\) | 16.4075 | + | 6.87476i | 0.566789 | + | 0.237485i | ||||
\(839\) | −33.9244 | + | 35.5789i | −1.17120 | + | 1.22832i | −0.202720 | + | 0.979237i | \(0.564978\pi\) |
−0.968482 | + | 0.249084i | \(0.919870\pi\) | |||||||
\(840\) | −11.3032 | + | 8.04327i | −0.389998 | + | 0.277519i | ||||
\(841\) | 5.61907 | − | 9.73251i | 0.193761 | − | 0.335604i | ||||
\(842\) | −19.4562 | + | 13.3914i | −0.670504 | + | 0.461498i | ||||
\(843\) | 12.4420 | − | 15.8213i | 0.428527 | − | 0.544916i | ||||
\(844\) | 19.0683 | − | 22.7144i | 0.656357 | − | 0.781861i | ||||
\(845\) | 5.28701 | + | 55.3680i | 0.181879 | + | 1.90472i | ||||
\(846\) | 3.93130 | + | 17.4150i | 0.135161 | + | 0.598739i | ||||
\(847\) | −0.538336 | + | 1.17879i | −0.0184975 | + | 0.0405038i | ||||
\(848\) | 16.3045 | + | 8.74513i | 0.559900 | + | 0.300309i | ||||
\(849\) | 5.90420 | + | 20.1078i | 0.202631 | + | 0.690099i | ||||
\(850\) | −21.9989 | − | 5.71054i | −0.754556 | − | 0.195870i | ||||
\(851\) | 4.58052 | − | 1.11122i | 0.157018 | − | 0.0380922i | ||||
\(852\) | −4.59724 | + | 0.960863i | −0.157499 | + | 0.0329186i | ||||
\(853\) | 21.3002 | + | 2.03393i | 0.729306 | + | 0.0696403i | 0.453102 | − | 0.891459i | \(-0.350317\pi\) |
0.276204 | + | 0.961099i | \(0.410923\pi\) | |||||||
\(854\) | −3.97670 | − | 4.74033i | −0.136080 | − | 0.162211i | ||||
\(855\) | −6.53270 | − | 18.8750i | −0.223414 | − | 0.645511i | ||||
\(856\) | −7.22887 | + | 7.57633i | −0.247078 | + | 0.258954i | ||||
\(857\) | 38.0336 | − | 17.3694i | 1.29920 | − | 0.593327i | 0.358810 | − | 0.933411i | \(-0.383183\pi\) |
0.940395 | + | 0.340084i | \(0.110455\pi\) | |||||||
\(858\) | 0.924433 | + | 0.287559i | 0.0315596 | + | 0.00981712i | ||||
\(859\) | −12.3044 | − | 15.6463i | −0.419821 | − | 0.533846i | 0.529435 | − | 0.848350i | \(-0.322404\pi\) |
−0.949256 | + | 0.314505i | \(0.898162\pi\) | |||||||
\(860\) | −2.38643 | + | 74.6517i | −0.0813766 | + | 2.54560i | ||||
\(861\) | 0.342354 | + | 0.0830541i | 0.0116674 | + | 0.00283048i | ||||
\(862\) | 17.9367 | + | 9.61283i | 0.610927 | + | 0.327414i | ||||
\(863\) | 28.2889 | + | 4.06733i | 0.962967 | + | 0.138454i | 0.605826 | − | 0.795597i | \(-0.292843\pi\) |
0.357140 | + | 0.934051i | \(0.383752\pi\) | |||||||
\(864\) | −5.31678 | + | 1.93179i | −0.180881 | + | 0.0657208i | ||||
\(865\) | −8.46262 | − | 43.9082i | −0.287738 | − | 1.49292i | ||||
\(866\) | −24.0123 | + | 32.6052i | −0.815973 | + | 1.10797i | ||||
\(867\) | 9.02840 | − | 12.6786i | 0.306621 | − | 0.430588i | ||||
\(868\) | −13.2296 | − | 1.69136i | −0.449043 | − | 0.0574085i | ||||
\(869\) | 12.9488 | − | 6.67559i | 0.439259 | − | 0.226454i | ||||
\(870\) | 25.4961 | − | 2.02408i | 0.864399 | − | 0.0686226i | ||||
\(871\) | 0.276012 | + | 1.58477i | 0.00935231 | + | 0.0536980i | ||||
\(872\) | −42.4792 | + | 10.2903i | −1.43853 | + | 0.348473i | ||||
\(873\) | 2.15840 | + | 4.18672i | 0.0730509 | + | 0.141699i | ||||
\(874\) | 9.63549 | − | 46.0238i | 0.325925 | − | 1.55678i | ||||
\(875\) | −33.6184 | − | 23.9395i | −1.13651 | − | 0.809304i | ||||
\(876\) | −1.96610 | + | 3.16717i | −0.0664283 | + | 0.107009i | ||||
\(877\) | −36.0081 | + | 6.94000i | −1.21591 | + | 0.234347i | −0.756569 | − | 0.653914i | \(-0.773126\pi\) |
−0.459339 | + | 0.888261i | \(0.651914\pi\) | |||||||
\(878\) | −0.987996 | − | 31.2339i | −0.0333432 | − | 1.05409i | ||||
\(879\) | 4.44016 | − | 30.8820i | 0.149763 | − | 1.04162i | ||||
\(880\) | 15.0423 | − | 57.8681i | 0.507075 | − | 1.95073i | ||||
\(881\) | 2.12943 | − | 8.77763i | 0.0717423 | − | 0.295726i | −0.924626 | − | 0.380877i | \(-0.875622\pi\) |
0.996368 | + | 0.0851511i | \(0.0271373\pi\) | |||||||
\(882\) | 0.893355 | − | 8.00221i | 0.0300808 | − | 0.269449i | ||||
\(883\) | 5.07842 | − | 3.99371i | 0.170902 | − | 0.134399i | −0.529044 | − | 0.848594i | \(-0.677450\pi\) |
0.699947 | + | 0.714195i | \(0.253207\pi\) | |||||||
\(884\) | −0.103845 | + | 0.459301i | −0.00349270 | + | 0.0154480i | ||||
\(885\) | −20.9761 | − | 45.9312i | −0.705103 | − | 1.54396i | ||||
\(886\) | 16.1734 | + | 21.2565i | 0.543355 | + | 0.714125i | ||||
\(887\) | −19.4154 | + | 6.71975i | −0.651906 | + | 0.225627i | −0.632949 | − | 0.774193i | \(-0.718156\pi\) |
−0.0189572 | + | 0.999820i | \(0.506035\pi\) | |||||||
\(888\) | −1.22261 | + | 1.41001i | −0.0410281 | + | 0.0473169i | ||||
\(889\) | 0.865874 | − | 9.06784i | 0.0290405 | − | 0.304126i | ||||
\(890\) | −13.7694 | − | 107.991i | −0.461552 | − | 3.61986i | ||||
\(891\) | 0.821233 | + | 3.38517i | 0.0275123 | + | 0.113407i | ||||
\(892\) | 8.01853 | + | 1.41573i | 0.268480 | + | 0.0474021i | ||||
\(893\) | 56.3792 | − | 16.5544i | 1.88666 | − | 0.553972i | ||||
\(894\) | −6.56844 | − | 5.87793i | −0.219681 | − | 0.196588i | ||||
\(895\) | −93.1088 | − | 42.5214i | −3.11228 | − | 1.42133i | ||||
\(896\) | 9.91258 | − | 8.30444i | 0.331156 | − | 0.277432i | ||||
\(897\) | 1.39751 | − | 0.133446i | 0.0466615 | − | 0.00445563i | ||||
\(898\) | −19.5798 | + | 19.8885i | −0.653387 | + | 0.663689i | ||||
\(899\) | 19.3282 | + | 15.1999i | 0.644632 | + | 0.506944i | ||||
\(900\) | −16.9123 | − | 20.8269i | −0.563744 | − | 0.694229i | ||||
\(901\) | 4.79908 | + | 2.77075i | 0.159880 | + | 0.0923070i | ||||
\(902\) | −1.36048 | + | 0.674083i | −0.0452990 | + | 0.0224445i | ||||
\(903\) | 7.19904 | + | 6.86427i | 0.239569 | + | 0.228429i | ||||
\(904\) | 0.00185916 | 0.000451687i | 6.18348e−5 | 1.50229e-5i | ||||||
\(905\) | −28.9164 | + | 56.0901i | −0.961215 | + | 1.86450i | ||||
\(906\) | −20.9947 | − | 17.0603i | −0.697502 | − | 0.566790i | ||||
\(907\) | −7.42296 | − | 18.5417i | −0.246475 | − | 0.615666i | 0.752608 | − | 0.658469i | \(-0.228795\pi\) |
−0.999084 | + | 0.0428029i | \(0.986371\pi\) | |||||||
\(908\) | −30.0150 | − | 11.4748i | −0.996084 | − | 0.380803i | ||||
\(909\) | 13.6408 | − | 7.87549i | 0.452435 | − | 0.261214i | ||||
\(910\) | −0.755223 | + | 1.13486i | −0.0250354 | + | 0.0376204i | ||||
\(911\) | −14.3448 | + | 12.4299i | −0.475265 | + | 0.411820i | −0.859279 | − | 0.511508i | \(-0.829087\pi\) |
0.384013 | + | 0.923328i | \(0.374542\pi\) | |||||||
\(912\) | 7.45695 | + | 17.0595i | 0.246924 | + | 0.564898i | ||||
\(913\) | 35.1591 | − | 5.05511i | 1.16360 | − | 0.167300i | ||||
\(914\) | −44.3088 | − | 16.1327i | −1.46560 | − | 0.533622i | ||||
\(915\) | 11.8881 | − | 11.3353i | 0.393009 | − | 0.374734i | ||||
\(916\) | 3.63598 | + | 7.64297i | 0.120136 | + | 0.252531i | ||||
\(917\) | 8.40460 | + | 2.90886i | 0.277544 | + | 0.0960590i | ||||
\(918\) | −1.60976 | + | 0.528497i | −0.0531300 | + | 0.0174430i | ||||
\(919\) | −0.113034 | − | 2.37288i | −0.00372866 | − | 0.0782741i | 0.996236 | − | 0.0866824i | \(-0.0276265\pi\) |
−0.999965 | + | 0.00840832i | \(0.997324\pi\) | |||||||
\(920\) | −12.3103 | − | 85.8240i | −0.405858 | − | 2.82953i | ||||
\(921\) | 20.6392 | − | 14.6971i | 0.680085 | − | 0.484286i | ||||
\(922\) | 28.8509 | − | 12.6226i | 0.950153 | − | 0.415704i | ||||
\(923\) | −0.388237 | + | 0.249505i | −0.0127790 | + | 0.00821255i | ||||
\(924\) | −4.40933 | − | 6.63065i | −0.145056 | − | 0.218132i | ||||
\(925\) | −8.21709 | − | 3.28962i | −0.270176 | − | 0.108162i | ||||
\(926\) | 20.4503 | + | 22.1456i | 0.672038 | + | 0.727749i | ||||
\(927\) | −1.28287 | + | 6.65617i | −0.0421350 | + | 0.218617i | ||||
\(928\) | −23.5433 | + | 3.75372i | −0.772848 | + | 0.123222i | ||||
\(929\) | −29.9169 | + | 46.5516i | −0.981541 | + | 1.52731i | −0.137868 | + | 0.990451i | \(0.544025\pi\) |
−0.843673 | + | 0.536858i | \(0.819611\pi\) | |||||||
\(930\) | 2.24960 | − | 35.3355i | 0.0737673 | − | 1.15870i | ||||
\(931\) | −26.4709 | − | 1.26096i | −0.867548 | − | 0.0413264i | ||||
\(932\) | 0.335005 | + | 0.921059i | 0.0109735 | + | 0.0301703i | ||||
\(933\) | 9.92388 | − | 11.4528i | 0.324893 | − | 0.374947i | ||||
\(934\) | −19.5002 | + | 32.5625i | −0.638066 | + | 1.06548i | ||||
\(935\) | 5.04532 | − | 17.1828i | 0.164999 | − | 0.561937i | ||||
\(936\) | −0.420211 | + | 0.363869i | −0.0137350 | + | 0.0118934i | ||||
\(937\) | 38.6753i | 1.26347i | 0.775186 | + | 0.631734i | \(0.217656\pi\) | ||||
−0.775186 | + | 0.631734i | \(0.782344\pi\) | |||||||
\(938\) | 6.45843 | − | 11.5477i | 0.210875 | − | 0.377047i | ||||
\(939\) | − | 32.1655i | − | 1.04968i | ||||||
\(940\) | 87.2616 | − | 64.2193i | 2.84616 | − | 2.09460i | ||||
\(941\) | −7.27753 | + | 24.7850i | −0.237241 | + | 0.807968i | 0.751681 | + | 0.659527i | \(0.229244\pi\) |
−0.988921 | + | 0.148441i | \(0.952575\pi\) | |||||||
\(942\) | −1.30470 | − | 0.781325i | −0.0425094 | − | 0.0254569i | ||||
\(943\) | −1.44180 | + | 1.66393i | −0.0469516 | + | 0.0541850i | ||||
\(944\) | 22.8658 | + | 41.1403i | 0.744218 | + | 1.33900i | ||||
\(945\) | −4.89925 | − | 0.233380i | −0.159373 | − | 0.00759185i | ||||
\(946\) | −42.7846 | − | 2.72384i | −1.39105 | − | 0.0885596i | ||||
\(947\) | 0.506351 | − | 0.787897i | 0.0164542 | − | 0.0256032i | −0.832929 | − | 0.553380i | \(-0.813338\pi\) |
0.849383 | + | 0.527777i | \(0.176974\pi\) | |||||||
\(948\) | −0.664751 | + | 8.33807i | −0.0215901 | + | 0.270808i | ||||
\(949\) | −0.0693234 | + | 0.359684i | −0.00225033 | + | 0.0116758i | ||||
\(950\) | −64.8714 | + | 59.9054i | −2.10471 | + | 1.94359i | ||||
\(951\) | −16.2483 | − | 6.50483i | −0.526886 | − | 0.210933i | ||||
\(952\) | 3.04529 | − | 2.39319i | 0.0986984 | − | 0.0775638i | ||||
\(953\) | 3.34283 | − | 2.14830i | 0.108285 | − | 0.0695904i | −0.485378 | − | 0.874305i | \(-0.661318\pi\) |
0.593662 | + | 0.804714i | \(0.297681\pi\) | |||||||
\(954\) | 2.62196 | + | 5.99288i | 0.0848891 | + | 0.194027i | ||||
\(955\) | −44.0660 | + | 31.3793i | −1.42594 | + | 1.01541i | ||||
\(956\) | −33.4832 | + | 2.12041i | −1.08293 | + | 0.0685790i | ||||
\(957\) | 0.698529 | + | 14.6639i | 0.0225802 | + | 0.474017i | ||||
\(958\) | −3.52929 | − | 10.7500i | −0.114026 | − | 0.347315i | ||||
\(959\) | −7.97359 | − | 2.75969i | −0.257481 | − | 0.0891150i | ||||
\(960\) | 23.6735 | + | 24.8614i | 0.764059 | + | 0.802398i | ||||
\(961\) | 2.20026 | − | 2.09794i | 0.0709761 | − | 0.0676756i | ||||
\(962\) | −0.0627400 | + | 0.172317i | −0.00202282 | + | 0.00555572i | ||||
\(963\) | −3.66464 | + | 0.526895i | −0.118091 | + | 0.0169790i | ||||
\(964\) | 41.3599 | − | 10.7216i | 1.33211 | − | 0.345318i | ||||
\(965\) | 56.2499 | − | 48.7408i | 1.81075 | − | 1.56902i | ||||
\(966\) | −9.61287 | − | 6.39713i | −0.309289 | − | 0.205824i | ||||
\(967\) | 23.5417 | − | 13.5918i | 0.757051 | − | 0.437084i | −0.0711849 | − | 0.997463i | \(-0.522678\pi\) |
0.828236 | + | 0.560380i | \(0.189345\pi\) | |||||||
\(968\) | 3.07661 | + | 0.904495i | 0.0988861 | + | 0.0290716i | ||||
\(969\) | 2.07252 | + | 5.17691i | 0.0665790 | + | 0.166306i | ||||
\(970\) | 18.0272 | − | 22.1845i | 0.578817 | − | 0.712303i | ||||
\(971\) | −8.70131 | + | 16.8782i | −0.279238 | + | 0.541647i | −0.986191 | − | 0.165615i | \(-0.947039\pi\) |
0.706952 | + | 0.707261i | \(0.250070\pi\) | |||||||
\(972\) | −1.90000 | − | 0.624491i | −0.0609426 | − | 0.0200306i | ||||
\(973\) | −0.0232531 | − | 0.0221718i | −0.000745460 | − | 0.000710795i | ||||
\(974\) | −6.15597 | − | 12.4244i | −0.197250 | − | 0.398103i | ||||
\(975\) | −2.28308 | − | 1.31814i | −0.0731170 | − | 0.0422141i | ||||
\(976\) | −10.2143 | + | 11.4065i | −0.326951 | + | 0.365113i | ||||
\(977\) | 18.8387 | + | 14.8149i | 0.602702 | + | 0.473970i | 0.872279 | − | 0.489009i | \(-0.162641\pi\) |
−0.269577 | + | 0.962979i | \(0.586884\pi\) | |||||||
\(978\) | −5.65503 | − | 5.56725i | −0.180828 | − | 0.178021i | ||||
\(979\) | 62.2045 | − | 5.93981i | 1.98806 | − | 0.189837i | ||||
\(980\) | −46.6641 | + | 14.4984i | −1.49063 | + | 0.463136i | ||||
\(981\) | −14.0566 | − | 6.41943i | −0.448792 | − | 0.204957i | ||||
\(982\) | 39.6077 | − | 44.2606i | 1.26393 | − | 1.41241i | ||||
\(983\) | 20.7701 | − | 6.09867i | 0.662465 | − | 0.194517i | 0.0668198 | − | 0.997765i | \(-0.478715\pi\) |
0.595645 | + | 0.803248i | \(0.296897\pi\) | |||||||
\(984\) | 0.0831565 | − | 0.867781i | 0.00265093 | − | 0.0276639i | ||||
\(985\) | −12.9164 | − | 53.2420i | −0.411550 | − | 1.69643i | ||||
\(986\) | −7.08324 | + | 0.903153i | −0.225576 | + | 0.0287622i | ||||
\(987\) | 1.37159 | − | 14.3639i | 0.0436581 | − | 0.457209i | ||||
\(988\) | 1.28303 | + | 1.30414i | 0.0408187 | + | 0.0414901i | ||||
\(989\) | −58.7478 | + | 20.3328i | −1.86807 | + | 0.646546i | ||||
\(990\) | 16.8233 | − | 12.8003i | 0.534681 | − | 0.406821i | ||||
\(991\) | 17.2452 | + | 37.7616i | 0.547810 | + | 1.19954i | 0.957797 | + | 0.287446i | \(0.0928061\pi\) |
−0.409987 | + | 0.912092i | \(0.634467\pi\) | |||||||
\(992\) | 0.505216 | + | 33.0004i | 0.0160406 | + | 1.04777i | ||||
\(993\) | 5.79572 | − | 4.55780i | 0.183922 | − | 0.144637i | ||||
\(994\) | 3.77242 | + | 0.421147i | 0.119654 | + | 0.0133580i | ||||
\(995\) | −22.7362 | + | 93.7199i | −0.720786 | + | 2.97112i | ||||
\(996\) | −8.18094 | + | 18.6817i | −0.259223 | + | 0.591953i | ||||
\(997\) | −7.73795 | + | 53.8186i | −0.245063 | + | 1.70445i | 0.380913 | + | 0.924611i | \(0.375610\pi\) |
−0.625976 | + | 0.779842i | \(0.715299\pi\) | |||||||
\(998\) | −18.7324 | + | 0.592544i | −0.592963 | + | 0.0187567i | ||||
\(999\) | −0.647897 | + | 0.124872i | −0.0204986 | + | 0.00395077i |
(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 | 804.2.bf.b.7.12 | yes | 680 | |
4.3 | odd | 2 | 804.2.bf.a.7.13 | ✓ | 680 | ||
67.48 | odd | 66 | 804.2.bf.a.115.13 | yes | 680 | ||
268.115 | even | 66 | inner | 804.2.bf.b.115.12 | yes | 680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.bf.a.7.13 | ✓ | 680 | 4.3 | odd | 2 | ||
804.2.bf.a.115.13 | yes | 680 | 67.48 | odd | 66 | ||
804.2.bf.b.7.12 | yes | 680 | 1.1 | even | 1 | trivial | |
804.2.bf.b.115.12 | yes | 680 | 268.115 | even | 66 | inner |