Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(20,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 36, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bv (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 20.1 | ||
Character | \(\chi\) | \(=\) | 429.20 |
Dual form | 429.2.bv.a.236.1 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.76683 | − | 0.145003i | −1.95644 | − | 0.102533i | −0.967694 | − | 0.252128i | \(-0.918870\pi\) |
−0.988747 | + | 0.149595i | \(0.952203\pi\) | |||||||
\(3\) | 1.66622 | + | 0.472982i | 0.961992 | + | 0.273076i | ||||
\(4\) | 5.64525 | + | 0.593340i | 2.82263 | + | 0.296670i | ||||
\(5\) | −0.523203 | − | 0.266585i | −0.233983 | − | 0.119220i | 0.333068 | − | 0.942903i | \(-0.391916\pi\) |
−0.567052 | + | 0.823682i | \(0.691916\pi\) | |||||||
\(6\) | −4.54156 | − | 1.55027i | −1.85408 | − | 0.632894i | ||||
\(7\) | 0.0260847 | + | 0.0322120i | 0.00985911 | + | 0.0121750i | 0.782052 | − | 0.623214i | \(-0.214173\pi\) |
−0.772193 | + | 0.635389i | \(0.780840\pi\) | |||||||
\(8\) | −10.0604 | − | 1.59341i | −3.55688 | − | 0.563354i | ||||
\(9\) | 2.55258 | + | 1.57618i | 0.850859 | + | 0.525395i | ||||
\(10\) | 1.40895 | + | 0.813460i | 0.445551 | + | 0.257239i | ||||
\(11\) | 3.16166 | − | 1.00196i | 0.953276 | − | 0.302102i | ||||
\(12\) | 9.12559 | + | 3.65874i | 2.63433 | + | 1.05619i | ||||
\(13\) | −0.927425 | − | 3.48423i | −0.257221 | − | 0.966352i | ||||
\(14\) | −0.0675011 | − | 0.0929073i | −0.0180404 | − | 0.0248305i | ||||
\(15\) | −0.745680 | − | 0.691655i | −0.192534 | − | 0.178584i | ||||
\(16\) | 16.4996 | + | 3.50711i | 4.12491 | + | 0.876777i | ||||
\(17\) | 3.91197 | − | 4.34469i | 0.948793 | − | 1.05374i | −0.0496950 | − | 0.998764i | \(-0.515825\pi\) |
0.998488 | − | 0.0549765i | \(-0.0175084\pi\) | |||||||
\(18\) | −6.83398 | − | 4.73116i | −1.61078 | − | 1.11514i | ||||
\(19\) | 1.20651 | + | 3.14307i | 0.276792 | + | 0.721069i | 0.999551 | + | 0.0299681i | \(0.00954058\pi\) |
−0.722758 | + | 0.691101i | \(0.757126\pi\) | |||||||
\(20\) | −2.79544 | − | 1.81538i | −0.625079 | − | 0.405931i | ||||
\(21\) | 0.0282272 | + | 0.0660098i | 0.00615968 | + | 0.0144045i | ||||
\(22\) | −8.89304 | + | 2.31379i | −1.89600 | + | 0.493302i | ||||
\(23\) | −2.08698 | + | 3.61476i | −0.435166 | + | 0.753729i | −0.997309 | − | 0.0733106i | \(-0.976644\pi\) |
0.562143 | + | 0.827040i | \(0.309977\pi\) | |||||||
\(24\) | −16.0091 | − | 7.41334i | −3.26785 | − | 1.51324i | ||||
\(25\) | −2.73625 | − | 3.76613i | −0.547251 | − | 0.753226i | ||||
\(26\) | 2.06080 | + | 9.77475i | 0.404156 | + | 1.91699i | ||||
\(27\) | 3.50764 | + | 3.83359i | 0.675047 | + | 0.737775i | ||||
\(28\) | 0.128142 | + | 0.197322i | 0.0242166 | + | 0.0372903i | ||||
\(29\) | 0.632121 | + | 1.41977i | 0.117382 | + | 0.263644i | 0.962676 | − | 0.270658i | \(-0.0872412\pi\) |
−0.845294 | + | 0.534302i | \(0.820575\pi\) | |||||||
\(30\) | 1.96288 | + | 2.02181i | 0.358370 | + | 0.369131i | ||||
\(31\) | 0.736118 | − | 0.375071i | 0.132211 | − | 0.0673647i | −0.386634 | − | 0.922233i | \(-0.626362\pi\) |
0.518845 | + | 0.854869i | \(0.326362\pi\) | |||||||
\(32\) | −25.4657 | − | 6.82351i | −4.50174 | − | 1.20624i | ||||
\(33\) | 5.74192 | − | 0.174074i | 0.999541 | − | 0.0303024i | ||||
\(34\) | −11.4537 | + | 11.4537i | −1.96430 | + | 1.96430i | ||||
\(35\) | −0.00506037 | − | 0.0238072i | −0.000855359 | − | 0.00402415i | ||||
\(36\) | 13.4747 | + | 10.4125i | 2.24579 | + | 1.73542i | ||||
\(37\) | 0.859984 | − | 2.24033i | 0.141380 | − | 0.368309i | −0.844547 | − | 0.535481i | \(-0.820130\pi\) |
0.985928 | + | 0.167172i | \(0.0534636\pi\) | |||||||
\(38\) | −2.88245 | − | 8.87126i | −0.467595 | − | 1.43911i | ||||
\(39\) | 0.102687 | − | 6.24415i | 0.0164430 | − | 0.999865i | ||||
\(40\) | 4.83884 | + | 3.51562i | 0.765087 | + | 0.555868i | ||||
\(41\) | 7.92710 | + | 6.41924i | 1.23801 | + | 1.00252i | 0.999508 | + | 0.0313742i | \(0.00998836\pi\) |
0.238498 | + | 0.971143i | \(0.423345\pi\) | |||||||
\(42\) | −0.0685282 | − | 0.186731i | −0.0105741 | − | 0.0288132i | ||||
\(43\) | 0.824488 | − | 0.476019i | 0.125733 | − | 0.0725922i | −0.435814 | − | 0.900037i | \(-0.643540\pi\) |
0.561548 | + | 0.827445i | \(0.310206\pi\) | |||||||
\(44\) | 18.4429 | − | 3.78037i | 2.78037 | − | 0.569912i | ||||
\(45\) | −0.915327 | − | 1.50514i | −0.136449 | − | 0.224373i | ||||
\(46\) | 6.29847 | − | 9.69879i | 0.928658 | − | 1.43001i | ||||
\(47\) | −0.0323356 | − | 0.00512146i | −0.00471663 | − | 0.000747041i | 0.154076 | − | 0.988059i | \(-0.450760\pi\) |
−0.158792 | + | 0.987312i | \(0.550760\pi\) | |||||||
\(48\) | 25.8332 | + | 13.6476i | 3.72870 | + | 1.96987i | ||||
\(49\) | 1.45502 | − | 6.84535i | 0.207861 | − | 0.977908i | ||||
\(50\) | 7.02463 | + | 10.8170i | 0.993433 | + | 1.52975i | ||||
\(51\) | 8.57316 | − | 5.38891i | 1.20048 | − | 0.754598i | ||||
\(52\) | −3.16821 | − | 20.2197i | −0.439352 | − | 2.80396i | ||||
\(53\) | 7.30026 | + | 2.37200i | 1.00277 | + | 0.325819i | 0.763971 | − | 0.645251i | \(-0.223247\pi\) |
0.238797 | + | 0.971070i | \(0.423247\pi\) | |||||||
\(54\) | −9.14916 | − | 11.1155i | −1.24504 | − | 1.51263i | ||||
\(55\) | −1.92129 | − | 0.318624i | −0.259067 | − | 0.0429632i | ||||
\(56\) | −0.211096 | − | 0.365628i | −0.0282088 | − | 0.0488591i | ||||
\(57\) | 0.523696 | + | 5.80770i | 0.0693653 | + | 0.769248i | ||||
\(58\) | −1.54310 | − | 4.01991i | −0.202619 | − | 0.527840i | ||||
\(59\) | 1.34839 | − | 1.09191i | 0.175546 | − | 0.142154i | −0.537521 | − | 0.843251i | \(-0.680639\pi\) |
0.713067 | + | 0.701096i | \(0.247306\pi\) | |||||||
\(60\) | −3.79917 | − | 4.34701i | −0.490471 | − | 0.561196i | ||||
\(61\) | −7.73133 | + | 8.58651i | −0.989895 | + | 1.09939i | 0.00515239 | + | 0.999987i | \(0.498360\pi\) |
−0.995047 | + | 0.0994029i | \(0.968307\pi\) | |||||||
\(62\) | −2.09110 | + | 0.931016i | −0.265569 | + | 0.118239i | ||||
\(63\) | 0.0158113 | + | 0.123338i | 0.00199203 | + | 0.0155391i | ||||
\(64\) | 37.3843 | + | 12.1469i | 4.67304 | + | 1.51836i | ||||
\(65\) | −0.443613 | + | 2.07020i | −0.0550235 | + | 0.256776i | ||||
\(66\) | −15.9121 | − | 0.350964i | −1.95865 | − | 0.0432007i | ||||
\(67\) | 4.01807 | − | 1.07664i | 0.490886 | − | 0.131532i | −0.00488103 | − | 0.999988i | \(-0.501554\pi\) |
0.495767 | + | 0.868456i | \(0.334887\pi\) | |||||||
\(68\) | 24.6620 | − | 22.2057i | 2.99070 | − | 2.69284i | ||||
\(69\) | −5.18709 | + | 5.03588i | −0.624452 | + | 0.606248i | ||||
\(70\) | 0.0105491 | + | 0.0666041i | 0.00126085 | + | 0.00796071i | ||||
\(71\) | −0.429622 | − | 8.19767i | −0.0509867 | − | 0.972885i | −0.897637 | − | 0.440735i | \(-0.854718\pi\) |
0.846650 | − | 0.532150i | \(-0.178616\pi\) | |||||||
\(72\) | −23.1684 | − | 19.9243i | −2.73042 | − | 2.34810i | ||||
\(73\) | 11.8433 | − | 1.87580i | 1.38616 | − | 0.219546i | 0.581626 | − | 0.813456i | \(-0.302417\pi\) |
0.804531 | + | 0.593911i | \(0.202417\pi\) | |||||||
\(74\) | −2.70428 | + | 6.07391i | −0.314366 | + | 0.706078i | ||||
\(75\) | −2.77789 | − | 7.56940i | −0.320763 | − | 0.874039i | ||||
\(76\) | 4.94615 | + | 18.4593i | 0.567362 | + | 2.11742i | ||||
\(77\) | 0.114746 | + | 0.0757074i | 0.0130765 | + | 0.00862766i | ||||
\(78\) | −1.18954 | + | 17.2616i | −0.134689 | + | 1.95449i | ||||
\(79\) | −4.22359 | + | 12.9989i | −0.475191 | + | 1.46249i | 0.370510 | + | 0.928829i | \(0.379183\pi\) |
−0.845700 | + | 0.533658i | \(0.820817\pi\) | |||||||
\(80\) | −7.69771 | − | 6.23348i | −0.860630 | − | 0.696925i | ||||
\(81\) | 4.03129 | + | 8.04666i | 0.447921 | + | 0.894073i | ||||
\(82\) | −21.0021 | − | 18.9104i | −2.31929 | − | 2.08830i | ||||
\(83\) | 1.56102 | + | 0.795382i | 0.171345 | + | 0.0873045i | 0.537559 | − | 0.843226i | \(-0.319346\pi\) |
−0.366215 | + | 0.930530i | \(0.619346\pi\) | |||||||
\(84\) | 0.120184 | + | 0.389391i | 0.0131131 | + | 0.0424860i | ||||
\(85\) | −3.20498 | + | 1.23028i | −0.347629 | + | 0.133442i | ||||
\(86\) | −2.35024 | + | 1.19751i | −0.253433 | + | 0.129130i | ||||
\(87\) | 0.381728 | + | 2.66463i | 0.0409255 | + | 0.285678i | ||||
\(88\) | −33.4040 | + | 5.04227i | −3.56088 | + | 0.537507i | ||||
\(89\) | −6.73514 | + | 1.80467i | −0.713923 | + | 0.191295i | −0.597459 | − | 0.801900i | \(-0.703823\pi\) |
−0.116465 | + | 0.993195i | \(0.537156\pi\) | |||||||
\(90\) | 2.31430 | + | 4.29719i | 0.243949 | + | 0.452964i | ||||
\(91\) | 0.0880424 | − | 0.120760i | 0.00922935 | − | 0.0126590i | ||||
\(92\) | −13.9263 | + | 19.1679i | −1.45192 | + | 1.99840i | ||||
\(93\) | 1.40394 | − | 0.276780i | 0.145581 | − | 0.0287007i | ||||
\(94\) | 0.0887243 | + | 0.0188589i | 0.00915122 | + | 0.00194515i | ||||
\(95\) | 0.206645 | − | 1.96610i | 0.0212014 | − | 0.201717i | ||||
\(96\) | −39.2040 | − | 23.4143i | −4.00124 | − | 2.38971i | ||||
\(97\) | −8.87618 | − | 5.76426i | −0.901239 | − | 0.585272i | 0.00872325 | − | 0.999962i | \(-0.497223\pi\) |
−0.909963 | + | 0.414690i | \(0.863890\pi\) | |||||||
\(98\) | −5.01840 | + | 18.7289i | −0.506935 | + | 1.89191i | ||||
\(99\) | 9.64964 | + | 2.42578i | 0.969825 | + | 0.243800i | ||||
\(100\) | −13.2122 | − | 22.8843i | −1.32122 | − | 2.28843i | ||||
\(101\) | −8.69749 | − | 9.65955i | −0.865433 | − | 0.961161i | 0.134123 | − | 0.990965i | \(-0.457178\pi\) |
−0.999556 | + | 0.0298040i | \(0.990512\pi\) | |||||||
\(102\) | −24.5019 | + | 13.6670i | −2.42605 | + | 1.35324i | ||||
\(103\) | −1.94363 | + | 2.67518i | −0.191512 | + | 0.263594i | −0.893965 | − | 0.448136i | \(-0.852088\pi\) |
0.702453 | + | 0.711730i | \(0.252088\pi\) | |||||||
\(104\) | 3.77844 | + | 36.5305i | 0.370507 | + | 3.58211i | ||||
\(105\) | 0.00282868 | − | 0.0420615i | 0.000276051 | − | 0.00410478i | ||||
\(106\) | −19.8546 | − | 7.62146i | −1.92845 | − | 0.740262i | ||||
\(107\) | −13.6803 | + | 1.43786i | −1.32252 | + | 0.139003i | −0.739337 | − | 0.673336i | \(-0.764861\pi\) |
−0.583186 | + | 0.812338i | \(0.698194\pi\) | |||||||
\(108\) | 17.5269 | + | 23.7228i | 1.68653 | + | 2.28273i | ||||
\(109\) | 6.42431 | + | 6.42431i | 0.615337 | + | 0.615337i | 0.944332 | − | 0.328994i | \(-0.106710\pi\) |
−0.328994 | + | 0.944332i | \(0.606710\pi\) | |||||||
\(110\) | 5.26969 | + | 1.16017i | 0.502445 | + | 0.110618i | ||||
\(111\) | 2.49256 | − | 3.32613i | 0.236583 | − | 0.315703i | ||||
\(112\) | 0.317418 | + | 0.622968i | 0.0299932 | + | 0.0588649i | ||||
\(113\) | 3.20704 | − | 7.20314i | 0.301693 | − | 0.677614i | −0.697549 | − | 0.716537i | \(-0.745726\pi\) |
0.999242 | + | 0.0389230i | \(0.0123927\pi\) | |||||||
\(114\) | −0.606842 | − | 16.1448i | −0.0568360 | − | 1.51210i | ||||
\(115\) | 2.05555 | − | 1.33489i | 0.191681 | − | 0.124479i | ||||
\(116\) | 2.72608 | + | 8.39001i | 0.253110 | + | 0.778993i | ||||
\(117\) | 3.12447 | − | 10.3556i | 0.288858 | − | 0.957372i | ||||
\(118\) | −3.88910 | + | 2.82560i | −0.358021 | + | 0.260117i | ||||
\(119\) | 0.241994 | + | 0.0126824i | 0.0221835 | + | 0.00116259i | ||||
\(120\) | 6.39974 | + | 8.14648i | 0.584213 | + | 0.743668i | ||||
\(121\) | 8.99216 | − | 6.33570i | 0.817469 | − | 0.575972i | ||||
\(122\) | 22.6363 | − | 22.6363i | 2.04939 | − | 2.04939i | ||||
\(123\) | 10.1721 | + | 14.4452i | 0.917188 | + | 1.30248i | ||||
\(124\) | 4.37812 | − | 1.68060i | 0.393166 | − | 0.150922i | ||||
\(125\) | 0.886916 | + | 5.59977i | 0.0793281 | + | 0.500858i | ||||
\(126\) | −0.0258626 | − | 0.343547i | −0.00230403 | − | 0.0306056i | ||||
\(127\) | −0.305785 | + | 1.43860i | −0.0271340 | + | 0.127655i | −0.989630 | − | 0.143641i | \(-0.954119\pi\) |
0.962496 | + | 0.271296i | \(0.0874523\pi\) | |||||||
\(128\) | −52.4487 | − | 20.1332i | −4.63586 | − | 1.77954i | ||||
\(129\) | 1.59893 | − | 0.403183i | 0.140778 | − | 0.0354983i | ||||
\(130\) | 1.52759 | − | 5.66355i | 0.133978 | − | 0.496726i | ||||
\(131\) | − | 7.69474i | − | 0.672293i | −0.941810 | − | 0.336146i | \(-0.890876\pi\) | ||
0.941810 | − | 0.336146i | \(-0.109124\pi\) | |||||||
\(132\) | 32.5179 | + | 2.42422i | 2.83032 | + | 0.211001i | ||||
\(133\) | −0.0697729 | + | 0.120850i | −0.00605007 | + | 0.0104790i | ||||
\(134\) | −11.2734 | + | 2.39624i | −0.973876 | + | 0.207004i | ||||
\(135\) | −0.813230 | − | 2.94083i | −0.0699917 | − | 0.253106i | ||||
\(136\) | −46.2788 | + | 37.4758i | −3.96837 | + | 3.21352i | ||||
\(137\) | −13.6812 | + | 0.717000i | −1.16886 | + | 0.0612575i | −0.626868 | − | 0.779125i | \(-0.715664\pi\) |
−0.541994 | + | 0.840383i | \(0.682330\pi\) | |||||||
\(138\) | 15.0820 | − | 13.1812i | 1.28386 | − | 1.12206i | ||||
\(139\) | 0.0623553 | − | 0.593271i | 0.00528891 | − | 0.0503206i | −0.991559 | − | 0.129655i | \(-0.958613\pi\) |
0.996848 | + | 0.0793347i | \(0.0252796\pi\) | |||||||
\(140\) | −0.0144413 | − | 0.137400i | −0.00122052 | − | 0.0116124i | ||||
\(141\) | −0.0514558 | − | 0.0238276i | −0.00433336 | − | 0.00200665i | ||||
\(142\) | 22.7438i | 1.90862i | ||||||||
\(143\) | −6.42326 | − | 10.0867i | −0.537140 | − | 0.843493i | ||||
\(144\) | 36.5887 | + | 34.9586i | 3.04906 | + | 2.91322i | ||||
\(145\) | 0.0477613 | − | 0.911340i | 0.00396636 | − | 0.0756827i | ||||
\(146\) | −33.0404 | + | 3.47269i | −2.73445 | + | 0.287402i | ||||
\(147\) | 5.66212 | − | 10.7177i | 0.467004 | − | 0.883978i | ||||
\(148\) | 6.18411 | − | 12.1370i | 0.508331 | − | 0.997655i | ||||
\(149\) | −0.104027 | − | 1.98494i | −0.00852219 | − | 0.162613i | −0.999575 | − | 0.0291443i | \(-0.990722\pi\) |
0.991053 | − | 0.133469i | \(-0.0426116\pi\) | |||||||
\(150\) | 6.58834 | + | 21.3460i | 0.537936 | + | 1.74289i | ||||
\(151\) | 0.593873 | − | 3.74956i | 0.0483287 | − | 0.305135i | −0.951669 | − | 0.307124i | \(-0.900633\pi\) |
0.999998 | + | 0.00198927i | \(0.000633206\pi\) | |||||||
\(152\) | −7.12976 | − | 33.5429i | −0.578300 | − | 2.72069i | ||||
\(153\) | 16.8336 | − | 4.92415i | 1.36092 | − | 0.398094i | ||||
\(154\) | −0.306505 | − | 0.226108i | −0.0246988 | − | 0.0182203i | ||||
\(155\) | −0.485127 | −0.0389663 | ||||||||
\(156\) | 4.28460 | − | 35.1889i | 0.343043 | − | 2.81737i | ||||
\(157\) | −0.497594 | + | 0.361523i | −0.0397123 | + | 0.0288527i | −0.607464 | − | 0.794347i | \(-0.707813\pi\) |
0.567752 | + | 0.823200i | \(0.307813\pi\) | |||||||
\(158\) | 13.5708 | − | 35.3532i | 1.07964 | − | 2.81255i | ||||
\(159\) | 11.0419 | + | 7.40516i | 0.875681 | + | 0.587267i | ||||
\(160\) | 11.5047 | + | 10.3588i | 0.909523 | + | 0.818938i | ||||
\(161\) | −0.170877 | + | 0.0270642i | −0.0134670 | + | 0.00213296i | ||||
\(162\) | −9.98707 | − | 22.8483i | −0.784658 | − | 1.79513i | ||||
\(163\) | −8.74456 | + | 13.4654i | −0.684927 | + | 1.05469i | 0.309666 | + | 0.950845i | \(0.399783\pi\) |
−0.994593 | + | 0.103849i | \(0.966884\pi\) | |||||||
\(164\) | 40.9417 | + | 40.9417i | 3.19701 | + | 3.19701i | ||||
\(165\) | −3.05060 | − | 1.43964i | −0.237489 | − | 0.112075i | ||||
\(166\) | −4.20375 | − | 2.42704i | −0.326274 | − | 0.188375i | ||||
\(167\) | −1.09457 | + | 20.8857i | −0.0847005 | + | 1.61618i | 0.544378 | + | 0.838840i | \(0.316766\pi\) |
−0.629079 | + | 0.777342i | \(0.716568\pi\) | |||||||
\(168\) | −0.178796 | − | 0.709061i | −0.0137944 | − | 0.0547053i | ||||
\(169\) | −11.2798 | + | 6.46273i | −0.867674 | + | 0.497133i | ||||
\(170\) | 9.04602 | − | 2.93923i | 0.693798 | − | 0.225429i | ||||
\(171\) | −1.87434 | + | 9.92460i | −0.143335 | + | 0.758953i | ||||
\(172\) | 4.93689 | − | 2.19804i | 0.376434 | − | 0.167599i | ||||
\(173\) | −18.1957 | − | 8.10124i | −1.38339 | − | 0.615926i | −0.426002 | − | 0.904722i | \(-0.640078\pi\) |
−0.957391 | + | 0.288796i | \(0.906745\pi\) | |||||||
\(174\) | −0.669795 | − | 7.42791i | −0.0507771 | − | 0.563108i | ||||
\(175\) | 0.0499400 | − | 0.186379i | 0.00377511 | − | 0.0140889i | ||||
\(176\) | 55.6802 | − | 5.44367i | 4.19705 | − | 0.410332i | ||||
\(177\) | 2.76317 | − | 1.18159i | 0.207693 | − | 0.0888139i | ||||
\(178\) | 18.8966 | − | 4.01660i | 1.41636 | − | 0.301057i | ||||
\(179\) | 0.363755 | + | 3.46090i | 0.0271883 | + | 0.258680i | 0.999670 | + | 0.0256991i | \(0.00818118\pi\) |
−0.972481 | + | 0.232981i | \(0.925152\pi\) | |||||||
\(180\) | −4.27419 | − | 9.04001i | −0.318580 | − | 0.673803i | ||||
\(181\) | −7.74983 | + | 2.51807i | −0.576040 | + | 0.187167i | −0.582526 | − | 0.812812i | \(-0.697936\pi\) |
0.00648573 | + | 0.999979i | \(0.497936\pi\) | |||||||
\(182\) | −0.261108 | + | 0.321354i | −0.0193546 | + | 0.0238204i | ||||
\(183\) | −16.9434 | + | 10.6502i | −1.25249 | + | 0.787287i | ||||
\(184\) | 26.7556 | − | 33.0404i | 1.97245 | − | 2.43577i | ||||
\(185\) | −1.04719 | + | 0.942890i | −0.0769906 | + | 0.0693227i | ||||
\(186\) | −3.92458 | + | 0.562226i | −0.287764 | + | 0.0412244i | ||||
\(187\) | 8.01513 | − | 17.6560i | 0.586124 | − | 1.29114i | ||||
\(188\) | −0.179504 | − | 0.0480979i | −0.0130917 | − | 0.00350790i | ||||
\(189\) | −0.0319916 | + | 0.212986i | −0.00232704 | + | 0.0154925i | ||||
\(190\) | −0.856842 | + | 5.40989i | −0.0621618 | + | 0.392474i | ||||
\(191\) | −14.1765 | − | 1.49001i | −1.02578 | − | 0.107814i | −0.423333 | − | 0.905974i | \(-0.639140\pi\) |
−0.602445 | + | 0.798160i | \(0.705807\pi\) | |||||||
\(192\) | 56.5452 | + | 37.9215i | 4.08080 | + | 2.73675i | ||||
\(193\) | −17.6529 | + | 11.4639i | −1.27068 | + | 0.825190i | −0.990864 | − | 0.134863i | \(-0.956940\pi\) |
−0.279817 | + | 0.960053i | \(0.590274\pi\) | |||||||
\(194\) | 23.7230 | + | 17.2358i | 1.70321 | + | 1.23746i | ||||
\(195\) | −1.71832 | + | 3.23958i | −0.123052 | + | 0.231991i | ||||
\(196\) | 12.2756 | − | 37.7804i | 0.876829 | − | 2.69860i | ||||
\(197\) | −3.83587 | − | 14.3157i | −0.273294 | − | 1.01995i | −0.956976 | − | 0.290168i | \(-0.906289\pi\) |
0.683681 | − | 0.729781i | \(-0.260378\pi\) | |||||||
\(198\) | −26.3471 | − | 8.11095i | −1.87241 | − | 0.576420i | ||||
\(199\) | −6.68195 | + | 3.85782i | −0.473671 | + | 0.273474i | −0.717775 | − | 0.696275i | \(-0.754839\pi\) |
0.244104 | + | 0.969749i | \(0.421506\pi\) | |||||||
\(200\) | 21.5268 | + | 42.2486i | 1.52217 | + | 2.98743i | ||||
\(201\) | 7.20423 | + | 0.106559i | 0.508147 | + | 0.00751611i | ||||
\(202\) | 22.6638 | + | 27.9874i | 1.59462 | + | 1.96919i | ||||
\(203\) | −0.0292448 | + | 0.0573961i | −0.00205258 | + | 0.00402842i | ||||
\(204\) | 51.5951 | − | 25.3349i | 3.61238 | − | 1.77380i | ||||
\(205\) | −2.43621 | − | 5.47181i | −0.170152 | − | 0.382168i | ||||
\(206\) | 5.76561 | − | 7.11993i | 0.401709 | − | 0.496069i | ||||
\(207\) | −11.0247 | + | 5.93748i | −0.766270 | + | 0.412683i | ||||
\(208\) | −3.08260 | − | 60.7412i | −0.213740 | − | 4.21164i | ||||
\(209\) | 6.96379 | + | 8.72843i | 0.481696 | + | 0.603758i | ||||
\(210\) | −0.0139255 | + | 0.115967i | −0.000960952 | + | 0.00800246i | ||||
\(211\) | −0.363692 | − | 0.403920i | −0.0250376 | − | 0.0278070i | 0.730496 | − | 0.682917i | \(-0.239289\pi\) |
−0.755534 | + | 0.655110i | \(0.772622\pi\) | |||||||
\(212\) | 39.8044 | + | 17.7221i | 2.73378 | + | 1.21716i | ||||
\(213\) | 3.16151 | − | 13.8623i | 0.216623 | − | 0.949831i | ||||
\(214\) | 38.0595 | − | 1.99461i | 2.60169 | − | 0.136349i | ||||
\(215\) | −0.558274 | + | 0.0292579i | −0.0380740 | + | 0.00199537i | ||||
\(216\) | −29.1797 | − | 44.1565i | −1.98543 | − | 3.00447i | ||||
\(217\) | 0.0312832 | + | 0.0139282i | 0.00212364 | + | 0.000945507i | ||||
\(218\) | −16.8434 | − | 18.7065i | −1.14078 | − | 1.26696i | ||||
\(219\) | 20.6208 | + | 2.47619i | 1.39343 | + | 0.167325i | ||||
\(220\) | −10.6571 | − | 2.93869i | −0.718505 | − | 0.198127i | ||||
\(221\) | −18.7660 | − | 9.60085i | −1.26233 | − | 0.645823i | ||||
\(222\) | −7.37878 | + | 8.84140i | −0.495231 | + | 0.593396i | ||||
\(223\) | −14.6647 | + | 18.1094i | −0.982020 | + | 1.21269i | −0.00490370 | + | 0.999988i | \(0.501561\pi\) |
−0.977116 | + | 0.212706i | \(0.931772\pi\) | |||||||
\(224\) | −0.444467 | − | 0.998289i | −0.0296972 | − | 0.0667010i | ||||
\(225\) | −1.04838 | − | 13.9262i | −0.0698919 | − | 0.928411i | ||||
\(226\) | −9.91781 | + | 19.4648i | −0.659723 | + | 1.29478i | ||||
\(227\) | −5.98242 | − | 7.38767i | −0.397067 | − | 0.490337i | 0.538927 | − | 0.842352i | \(-0.318830\pi\) |
−0.935994 | + | 0.352015i | \(0.885496\pi\) | |||||||
\(228\) | −0.489540 | + | 33.0967i | −0.0324206 | + | 2.19188i | ||||
\(229\) | 0.608552 | + | 1.19435i | 0.0402142 | + | 0.0789249i | 0.910239 | − | 0.414083i | \(-0.135898\pi\) |
−0.870025 | + | 0.493007i | \(0.835898\pi\) | |||||||
\(230\) | −5.88093 | + | 3.39535i | −0.387777 | + | 0.223883i | ||||
\(231\) | 0.155384 | + | 0.180418i | 0.0102235 | + | 0.0118706i | ||||
\(232\) | −4.09711 | − | 15.2906i | −0.268988 | − | 1.00388i | ||||
\(233\) | −5.46517 | + | 16.8201i | −0.358035 | + | 1.10192i | 0.596194 | + | 0.802841i | \(0.296679\pi\) |
−0.954229 | + | 0.299078i | \(0.903321\pi\) | |||||||
\(234\) | −10.1465 | + | 28.1990i | −0.663295 | + | 1.84342i | ||||
\(235\) | 0.0155528 | + | 0.0112997i | 0.00101455 | + | 0.000737114i | ||||
\(236\) | 8.25990 | − | 5.36404i | 0.537673 | − | 0.349169i | ||||
\(237\) | −13.1857 | + | 19.6613i | −0.856500 | + | 1.27714i | ||||
\(238\) | −0.667715 | − | 0.0701797i | −0.0432816 | − | 0.00454907i | ||||
\(239\) | 2.06887 | − | 13.0623i | 0.133824 | − | 0.844933i | −0.825865 | − | 0.563868i | \(-0.809313\pi\) |
0.959689 | − | 0.281064i | \(-0.0906874\pi\) | |||||||
\(240\) | −9.87775 | − | 14.0272i | −0.637606 | − | 0.905454i | ||||
\(241\) | −14.1391 | − | 3.78856i | −0.910780 | − | 0.244043i | −0.227140 | − | 0.973862i | \(-0.572938\pi\) |
−0.683640 | + | 0.729819i | \(0.739604\pi\) | |||||||
\(242\) | −25.7984 | + | 16.2259i | −1.65839 | + | 1.04304i | ||||
\(243\) | 2.91108 | + | 15.3142i | 0.186746 | + | 0.982408i | ||||
\(244\) | −48.7400 | + | 43.8857i | −3.12026 | + | 2.80949i | ||||
\(245\) | −2.58614 | + | 3.19362i | −0.165223 | + | 0.204033i | ||||
\(246\) | −26.0498 | − | 41.4425i | −1.66088 | − | 2.64228i | ||||
\(247\) | 9.83223 | − | 7.11872i | 0.625610 | − | 0.452953i | ||||
\(248\) | −8.00326 | + | 2.60042i | −0.508208 | + | 0.165127i | ||||
\(249\) | 2.22481 | + | 2.06362i | 0.140991 | + | 0.130776i | ||||
\(250\) | −1.64196 | − | 15.6222i | −0.103846 | − | 0.988033i | ||||
\(251\) | 27.1952 | − | 5.78053i | 1.71655 | − | 0.364864i | 0.758545 | − | 0.651621i | \(-0.225911\pi\) |
0.958003 | + | 0.286758i | \(0.0925774\pi\) | |||||||
\(252\) | 0.0160773 | + | 0.705655i | 0.00101278 | + | 0.0444521i | ||||
\(253\) | −2.97649 | + | 13.5197i | −0.187130 | + | 0.849976i | ||||
\(254\) | 1.05466 | − | 3.93603i | 0.0661749 | − | 0.246968i | ||||
\(255\) | −5.92210 | + | 0.534013i | −0.370856 | + | 0.0334412i | ||||
\(256\) | 70.3774 | + | 31.3340i | 4.39859 | + | 1.95838i | ||||
\(257\) | −12.3736 | + | 5.50908i | −0.771844 | + | 0.343647i | −0.754584 | − | 0.656204i | \(-0.772161\pi\) |
−0.0172607 | + | 0.999851i | \(0.505495\pi\) | |||||||
\(258\) | −4.48241 | + | 0.883688i | −0.279063 | + | 0.0550160i | ||||
\(259\) | 0.0945981 | − | 0.0307368i | 0.00587804 | − | 0.00190989i | ||||
\(260\) | −3.73264 | + | 11.4236i | −0.231489 | + | 0.708460i | ||||
\(261\) | −0.624278 | + | 4.62040i | −0.0386418 | + | 0.285996i | ||||
\(262\) | −1.11576 | + | 21.2900i | −0.0689320 | + | 1.31530i | ||||
\(263\) | 18.2804 | + | 10.5542i | 1.12722 | + | 0.650800i | 0.943234 | − | 0.332128i | \(-0.107767\pi\) |
0.183985 | + | 0.982929i | \(0.441100\pi\) | |||||||
\(264\) | −58.0433 | − | 7.39797i | −3.57232 | − | 0.455314i | ||||
\(265\) | −3.18717 | − | 3.18717i | −0.195787 | − | 0.195787i | ||||
\(266\) | 0.210573 | − | 0.324254i | 0.0129111 | − | 0.0198813i | ||||
\(267\) | −12.0758 | − | 0.178616i | −0.739027 | − | 0.0109311i | ||||
\(268\) | 23.3219 | − | 3.69382i | 1.42461 | − | 0.225636i | ||||
\(269\) | −2.97896 | − | 2.68226i | −0.181630 | − | 0.163541i | 0.573300 | − | 0.819345i | \(-0.305663\pi\) |
−0.754931 | + | 0.655805i | \(0.772329\pi\) | |||||||
\(270\) | 1.82364 | + | 8.25469i | 0.110983 | + | 0.502364i | ||||
\(271\) | 9.36005 | − | 24.3838i | 0.568583 | − | 1.48121i | −0.284108 | − | 0.958792i | \(-0.591697\pi\) |
0.852691 | − | 0.522416i | \(-0.174969\pi\) | |||||||
\(272\) | 79.7834 | − | 57.9660i | 4.83758 | − | 3.51471i | ||||
\(273\) | 0.203815 | − | 0.159569i | 0.0123354 | − | 0.00965758i | ||||
\(274\) | 37.9574 | 2.29309 | ||||||||
\(275\) | −12.4246 | − | 9.16560i | −0.749231 | − | 0.552707i | ||||
\(276\) | −32.2704 | + | 25.3511i | −1.94245 | + | 1.52596i | ||||
\(277\) | −4.90684 | − | 23.0849i | −0.294823 | − | 1.38704i | −0.837199 | − | 0.546899i | \(-0.815808\pi\) |
0.542375 | − | 0.840136i | \(-0.317525\pi\) | |||||||
\(278\) | −0.258552 | + | 1.63244i | −0.0155069 | + | 0.0979070i | ||||
\(279\) | 2.47018 | + | 0.202861i | 0.147886 | + | 0.0121450i | ||||
\(280\) | 0.0129747 | + | 0.247573i | 0.000775388 | + | 0.0147953i | ||||
\(281\) | −3.26909 | + | 6.41595i | −0.195018 | + | 0.382743i | −0.967721 | − | 0.252024i | \(-0.918904\pi\) |
0.772704 | + | 0.634767i | \(0.218904\pi\) | |||||||
\(282\) | 0.138914 | + | 0.0733882i | 0.00827222 | + | 0.00437020i | ||||
\(283\) | 18.1840 | − | 1.91122i | 1.08093 | − | 0.113610i | 0.452719 | − | 0.891653i | \(-0.350454\pi\) |
0.628211 | + | 0.778043i | \(0.283788\pi\) | |||||||
\(284\) | 2.43868 | − | 46.5329i | 0.144709 | − | 2.76122i | ||||
\(285\) | 1.27425 | − | 3.17821i | 0.0754798 | − | 0.188261i | ||||
\(286\) | 16.3094 | + | 28.8396i | 0.964396 | + | 1.70532i | ||||
\(287\) | 0.422792i | 0.0249566i | ||||||||
\(288\) | −54.2479 | − | 57.5561i | −3.19659 | − | 3.39153i | ||||
\(289\) | −1.79578 | − | 17.0857i | −0.105634 | − | 1.00504i | ||||
\(290\) | −0.264294 | + | 2.51459i | −0.0155199 | + | 0.147662i | ||||
\(291\) | −12.0633 | − | 13.8028i | −0.707162 | − | 0.809134i | ||||
\(292\) | 67.9716 | − | 3.56224i | 3.97774 | − | 0.208464i | ||||
\(293\) | −10.3342 | + | 8.36847i | −0.603730 | + | 0.488891i | −0.881771 | − | 0.471678i | \(-0.843648\pi\) |
0.278041 | + | 0.960569i | \(0.410315\pi\) | |||||||
\(294\) | −17.2202 | + | 28.8329i | −1.00430 | + | 1.68157i | ||||
\(295\) | −0.996569 | + | 0.211827i | −0.0580225 | + | 0.0123331i | ||||
\(296\) | −12.2215 | + | 21.1683i | −0.710362 | + | 1.23038i | ||||
\(297\) | 14.9311 | + | 8.60599i | 0.866389 | + | 0.499370i | ||||
\(298\) | 5.50708i | 0.319017i | ||||||||
\(299\) | 14.5302 | + | 3.91911i | 0.840302 | + | 0.226648i | ||||
\(300\) | −11.1906 | − | 44.3794i | −0.646092 | − | 2.56225i | ||||
\(301\) | 0.0368401 | + | 0.0141416i | 0.00212343 | + | 0.000815107i | ||||
\(302\) | −2.18684 | + | 10.2883i | −0.125839 | + | 0.592024i | ||||
\(303\) | −9.92314 | − | 20.2087i | −0.570070 | − | 1.16096i | ||||
\(304\) | 8.88391 | + | 56.0908i | 0.509527 | + | 3.21703i | ||||
\(305\) | 6.33408 | − | 2.43143i | 0.362689 | − | 0.139223i | ||||
\(306\) | −47.2897 | + | 11.1833i | −2.70337 | + | 0.639308i | ||||
\(307\) | 8.40611 | − | 8.40611i | 0.479762 | − | 0.479762i | −0.425294 | − | 0.905055i | \(-0.639829\pi\) |
0.905055 | + | 0.425294i | \(0.139829\pi\) | |||||||
\(308\) | 0.602851 | + | 0.495471i | 0.0343506 | + | 0.0282321i | ||||
\(309\) | −4.50383 | + | 3.53814i | −0.256214 | + | 0.201278i | ||||
\(310\) | 1.34226 | + | 0.0703450i | 0.0762353 | + | 0.00399532i | ||||
\(311\) | −3.43227 | + | 2.49369i | −0.194626 | + | 0.141404i | −0.680831 | − | 0.732441i | \(-0.738381\pi\) |
0.486205 | + | 0.873845i | \(0.338381\pi\) | |||||||
\(312\) | −10.9825 | + | 62.6549i | −0.621764 | + | 3.54714i | ||||
\(313\) | −5.58139 | − | 17.1777i | −0.315479 | − | 0.970944i | −0.975557 | − | 0.219747i | \(-0.929477\pi\) |
0.660078 | − | 0.751197i | \(-0.270523\pi\) | |||||||
\(314\) | 1.42918 | − | 0.928119i | 0.0806532 | − | 0.0523768i | ||||
\(315\) | 0.0246075 | − | 0.0687457i | 0.00138648 | − | 0.00387338i | ||||
\(316\) | −31.5560 | + | 70.8759i | −1.77516 | + | 3.98708i | ||||
\(317\) | 14.1087 | + | 27.6899i | 0.792425 | + | 1.55522i | 0.831199 | + | 0.555974i | \(0.187655\pi\) |
−0.0387741 | + | 0.999248i | \(0.512345\pi\) | |||||||
\(318\) | −29.4773 | − | 22.0899i | −1.65300 | − | 1.23874i | ||||
\(319\) | 3.42110 | + | 3.85546i | 0.191545 | + | 0.215864i | ||||
\(320\) | −16.3214 | − | 16.3214i | −0.912393 | − | 0.912393i | ||||
\(321\) | −23.4744 | − | 4.07475i | −1.31022 | − | 0.227430i | ||||
\(322\) | 0.476711 | − | 0.0501043i | 0.0265661 | − | 0.00279221i | ||||
\(323\) | 18.3755 | + | 7.05368i | 1.02244 | + | 0.392477i | ||||
\(324\) | 17.9832 | + | 47.8174i | 0.999068 | + | 2.65652i | ||||
\(325\) | −10.5844 | + | 13.0265i | −0.587117 | + | 0.722583i | ||||
\(326\) | 26.1472 | − | 35.9885i | 1.44816 | − | 1.99322i | ||||
\(327\) | 7.66573 | + | 13.7429i | 0.423916 | + | 0.759984i | ||||
\(328\) | −69.5212 | − | 77.2111i | −3.83866 | − | 4.26327i | ||||
\(329\) | −0.000678493 | − | 0.00117519i | −3.74066e−5 | − | 6.47901e-5i | ||||
\(330\) | 8.23171 | + | 4.42557i | 0.453141 | + | 0.243619i | ||||
\(331\) | −6.65066 | + | 24.8206i | −0.365553 | + | 1.36426i | 0.501115 | + | 0.865380i | \(0.332923\pi\) |
−0.866669 | + | 0.498884i | \(0.833743\pi\) | |||||||
\(332\) | 8.34045 | + | 5.41635i | 0.457742 | + | 0.297261i | ||||
\(333\) | 5.72635 | − | 4.36313i | 0.313802 | − | 0.239098i | ||||
\(334\) | 6.05698 | − | 57.6283i | 0.331423 | − | 3.15328i | ||||
\(335\) | −2.38928 | − | 0.507858i | −0.130540 | − | 0.0277472i | ||||
\(336\) | 0.234235 | + | 1.18813i | 0.0127786 | + | 0.0648180i | ||||
\(337\) | 2.66765 | − | 3.67170i | 0.145316 | − | 0.200010i | −0.730154 | − | 0.683282i | \(-0.760552\pi\) |
0.875470 | + | 0.483272i | \(0.160552\pi\) | |||||||
\(338\) | 32.1463 | − | 16.2456i | 1.74853 | − | 0.883647i | ||||
\(339\) | 8.75059 | − | 10.4851i | 0.475267 | − | 0.569474i | ||||
\(340\) | −18.8229 | + | 5.04358i | −1.02082 | + | 0.273527i | ||||
\(341\) | 1.95155 | − | 1.92340i | 0.105682 | − | 0.104158i | ||||
\(342\) | 6.62508 | − | 27.1878i | 0.358243 | − | 1.47015i | ||||
\(343\) | 0.516976 | − | 0.263412i | 0.0279141 | − | 0.0142229i | ||||
\(344\) | −9.05315 | + | 3.47518i | −0.488113 | + | 0.187369i | ||||
\(345\) | 4.05639 | − | 1.25198i | 0.218388 | − | 0.0674045i | ||||
\(346\) | 49.1696 | + | 25.0532i | 2.64337 | + | 1.34687i | ||||
\(347\) | −20.3560 | − | 18.3286i | −1.09277 | − | 0.983931i | −0.0928354 | − | 0.995681i | \(-0.529593\pi\) |
−0.999931 | + | 0.0117502i | \(0.996260\pi\) | |||||||
\(348\) | 0.573922 | + | 15.2690i | 0.0307654 | + | 0.818503i | ||||
\(349\) | 10.3391 | + | 8.37246i | 0.553441 | + | 0.448168i | 0.864794 | − | 0.502127i | \(-0.167449\pi\) |
−0.311353 | + | 0.950294i | \(0.600782\pi\) | |||||||
\(350\) | −0.165201 | + | 0.508436i | −0.00883035 | + | 0.0271770i | ||||
\(351\) | 10.1041 | − | 15.7768i | 0.539314 | − | 0.842104i | ||||
\(352\) | −87.3506 | + | 3.94194i | −4.65580 | + | 0.210106i | ||||
\(353\) | 2.24886 | + | 8.39285i | 0.119695 | + | 0.446706i | 0.999595 | − | 0.0284514i | \(-0.00905759\pi\) |
−0.879901 | + | 0.475158i | \(0.842391\pi\) | |||||||
\(354\) | −7.81655 | + | 2.86859i | −0.415445 | + | 0.152464i | ||||
\(355\) | −1.96060 | + | 4.40358i | −0.104058 | + | 0.233718i | ||||
\(356\) | −39.0924 | + | 6.19162i | −2.07189 | + | 0.328155i | ||||
\(357\) | 0.397216 | + | 0.135590i | 0.0210229 | + | 0.00717620i | ||||
\(358\) | −0.504605 | − | 9.62845i | −0.0266692 | − | 0.508879i | ||||
\(359\) | −1.97414 | − | 12.4643i | −0.104191 | − | 0.657838i | −0.983407 | − | 0.181414i | \(-0.941933\pi\) |
0.879216 | − | 0.476424i | \(-0.158067\pi\) | |||||||
\(360\) | 6.81023 | + | 16.6008i | 0.358931 | + | 0.874938i | ||||
\(361\) | 5.69655 | − | 5.12920i | 0.299819 | − | 0.269958i | ||||
\(362\) | 21.8075 | − | 5.84331i | 1.14618 | − | 0.307118i | ||||
\(363\) | 17.9796 | − | 6.30353i | 0.943684 | − | 0.330850i | ||||
\(364\) | 0.568673 | − | 0.629479i | 0.0298066 | − | 0.0329937i | ||||
\(365\) | −6.69652 | − | 2.17583i | −0.350512 | − | 0.113888i | ||||
\(366\) | 48.4236 | − | 27.0105i | 2.53114 | − | 1.41186i | ||||
\(367\) | −0.408246 | + | 0.181763i | −0.0213103 | + | 0.00948794i | −0.417364 | − | 0.908739i | \(-0.637046\pi\) |
0.396054 | + | 0.918227i | \(0.370379\pi\) | |||||||
\(368\) | −47.1118 | + | 52.3229i | −2.45587 | + | 2.72752i | ||||
\(369\) | 10.1166 | + | 28.8802i | 0.526650 | + | 1.50344i | ||||
\(370\) | 3.03410 | − | 2.45697i | 0.157735 | − | 0.127732i | ||||
\(371\) | 0.114019 | + | 0.297029i | 0.00591955 | + | 0.0154210i | ||||
\(372\) | 8.08980 | − | 0.729480i | 0.419436 | − | 0.0378218i | ||||
\(373\) | 7.00353 | + | 12.1305i | 0.362629 | + | 0.628092i | 0.988393 | − | 0.151921i | \(-0.0485458\pi\) |
−0.625763 | + | 0.780013i | \(0.715212\pi\) | |||||||
\(374\) | −24.7366 | + | 47.6890i | −1.27910 | + | 2.46594i | ||||
\(375\) | −1.17079 | + | 9.74993i | −0.0604595 | + | 0.503484i | ||||
\(376\) | 0.317148 | + | 0.103048i | 0.0163556 | + | 0.00531427i | ||||
\(377\) | 4.36056 | − | 3.51918i | 0.224580 | − | 0.181247i | ||||
\(378\) | 0.119399 | − | 0.584657i | 0.00614121 | − | 0.0300715i | ||||
\(379\) | −7.95632 | − | 12.2517i | −0.408689 | − | 0.629326i | 0.573059 | − | 0.819514i | \(-0.305757\pi\) |
−0.981748 | + | 0.190189i | \(0.939090\pi\) | |||||||
\(380\) | 2.33313 | − | 10.9765i | 0.119687 | − | 0.563083i | ||||
\(381\) | −1.18994 | + | 2.25240i | −0.0609624 | + | 0.115394i | ||||
\(382\) | 39.0079 | + | 6.17825i | 1.99582 | + | 0.316107i | ||||
\(383\) | −7.53285 | + | 11.5996i | −0.384911 | + | 0.592711i | −0.977020 | − | 0.213147i | \(-0.931629\pi\) |
0.592109 | + | 0.805858i | \(0.298295\pi\) | |||||||
\(384\) | −77.8684 | − | 58.3536i | −3.97371 | − | 2.97784i | ||||
\(385\) | −0.0398530 | − | 0.0701999i | −0.00203110 | − | 0.00357772i | ||||
\(386\) | 50.5047 | − | 29.1589i | 2.57062 | − | 1.48415i | ||||
\(387\) | 2.85486 | + | 0.0844723i | 0.145121 | + | 0.00429397i | ||||
\(388\) | −46.6881 | − | 37.8073i | −2.37023 | − | 1.91937i | ||||
\(389\) | −8.38669 | − | 6.09329i | −0.425222 | − | 0.308942i | 0.354514 | − | 0.935051i | \(-0.384646\pi\) |
−0.779736 | + | 0.626109i | \(0.784646\pi\) | |||||||
\(390\) | 5.22405 | − | 8.71420i | 0.264530 | − | 0.441261i | ||||
\(391\) | 7.54077 | + | 23.2081i | 0.381353 | + | 1.17368i | ||||
\(392\) | −25.5455 | + | 66.5484i | −1.29024 | + | 3.36120i | ||||
\(393\) | 3.63948 | − | 12.8211i | 0.183587 | − | 0.646740i | ||||
\(394\) | 8.53736 | + | 40.1651i | 0.430106 | + | 2.02349i | ||||
\(395\) | 5.67509 | − | 5.67509i | 0.285545 | − | 0.285545i | ||||
\(396\) | 53.0354 | + | 19.4197i | 2.66513 | + | 0.975876i | ||||
\(397\) | −5.60447 | − | 1.50171i | −0.281280 | − | 0.0753688i | 0.115421 | − | 0.993317i | \(-0.463178\pi\) |
−0.396701 | + | 0.917948i | \(0.629845\pi\) | |||||||
\(398\) | 19.0472 | − | 9.70502i | 0.954749 | − | 0.486469i | ||||
\(399\) | −0.173417 | + | 0.168362i | −0.00868170 | + | 0.00842862i | ||||
\(400\) | −31.9390 | − | 71.7361i | −1.59695 | − | 3.58680i | ||||
\(401\) | −1.71493 | − | 2.64077i | −0.0856397 | − | 0.131874i | 0.793255 | − | 0.608890i | \(-0.208385\pi\) |
−0.878894 | + | 0.477016i | \(0.841718\pi\) | |||||||
\(402\) | −19.9174 | − | 1.33947i | −0.993389 | − | 0.0668065i | ||||
\(403\) | −1.98953 | − | 2.21696i | −0.0991054 | − | 0.110434i | ||||
\(404\) | −43.3682 | − | 59.6912i | −2.15765 | − | 2.96975i | ||||
\(405\) | 0.0359403 | − | 5.28471i | 0.00178589 | − | 0.262600i | ||||
\(406\) | 0.0892378 | − | 0.154564i | 0.00442880 | − | 0.00767091i | ||||
\(407\) | 0.474254 | − | 7.94484i | 0.0235079 | − | 0.393811i | ||||
\(408\) | −94.8360 | + | 40.5539i | −4.69508 | + | 2.00772i | ||||
\(409\) | 10.0239 | + | 6.50962i | 0.495651 | + | 0.321880i | 0.768143 | − | 0.640278i | \(-0.221181\pi\) |
−0.272492 | + | 0.962158i | \(0.587848\pi\) | |||||||
\(410\) | 5.94713 | + | 15.4928i | 0.293708 | + | 0.765135i | ||||
\(411\) | −23.1350 | − | 5.27627i | −1.14116 | − | 0.260259i | ||||
\(412\) | −12.5596 | + | 13.9488i | −0.618767 | + | 0.687210i | ||||
\(413\) | 0.0703450 | + | 0.0149523i | 0.00346145 | + | 0.000735754i | ||||
\(414\) | 31.3644 | − | 14.8293i | 1.54148 | − | 0.728822i | ||||
\(415\) | −0.604695 | − | 0.832291i | −0.0296833 | − | 0.0408556i | ||||
\(416\) | −0.157189 | + | 95.0566i | −0.00770681 | + | 4.66053i | ||||
\(417\) | 0.384504 | − | 0.959027i | 0.0188293 | − | 0.0469638i | ||||
\(418\) | −18.0019 | − | 25.1598i | −0.880504 | − | 1.23061i | ||||
\(419\) | 24.7156 | + | 14.2696i | 1.20744 | + | 0.697114i | 0.962199 | − | 0.272348i | \(-0.0878003\pi\) |
0.245239 | + | 0.969463i | \(0.421134\pi\) | |||||||
\(420\) | 0.0409254 | − | 0.235769i | 0.00199695 | − | 0.0115044i | ||||
\(421\) | −22.7040 | − | 3.59596i | −1.10652 | − | 0.175256i | −0.423674 | − | 0.905815i | \(-0.639260\pi\) |
−0.682850 | + | 0.730558i | \(0.739260\pi\) | |||||||
\(422\) | 0.947702 | + | 1.17031i | 0.0461334 | + | 0.0569700i | ||||
\(423\) | −0.0744667 | − | 0.0640398i | −0.00362069 | − | 0.00311372i | ||||
\(424\) | −69.6638 | − | 35.4955i | −3.38317 | − | 1.72381i | ||||
\(425\) | −27.0668 | − | 2.84483i | −1.31293 | − | 0.137995i | ||||
\(426\) | −10.7574 | + | 37.8962i | −0.521199 | + | 1.83608i | ||||
\(427\) | −0.478258 | − | 0.0250644i | −0.0231445 | − | 0.00121295i | ||||
\(428\) | −78.0819 | −3.77423 | ||||||||
\(429\) | −5.93172 | − | 19.8448i | −0.286386 | − | 0.958114i | ||||
\(430\) | 1.54889 | 0.0746941 | ||||||||
\(431\) | 25.8152 | + | 1.35292i | 1.24347 | + | 0.0651676i | 0.662692 | − | 0.748892i | \(-0.269414\pi\) |
0.580781 | + | 0.814060i | \(0.302747\pi\) | |||||||
\(432\) | 44.4301 | + | 75.5546i | 2.13764 | + | 3.63512i | ||||
\(433\) | 8.27514 | + | 0.869752i | 0.397678 | + | 0.0417976i | 0.301257 | − | 0.953543i | \(-0.402594\pi\) |
0.0964208 | + | 0.995341i | \(0.469261\pi\) | |||||||
\(434\) | −0.0845356 | − | 0.0430730i | −0.00405784 | − | 0.00206757i | ||||
\(435\) | 0.510628 | − | 1.49590i | 0.0244828 | − | 0.0717230i | ||||
\(436\) | 32.4551 | + | 40.0787i | 1.55432 | + | 1.91942i | ||||
\(437\) | −13.8794 | − | 2.19828i | −0.663941 | − | 0.105158i | ||||
\(438\) | −56.6951 | − | 9.84127i | −2.70900 | − | 0.470234i | ||||
\(439\) | 13.1481 | + | 7.59109i | 0.627527 | + | 0.362303i | 0.779794 | − | 0.626037i | \(-0.215324\pi\) |
−0.152267 | + | 0.988339i | \(0.548657\pi\) | |||||||
\(440\) | 18.8212 | + | 6.26688i | 0.897268 | + | 0.298762i | ||||
\(441\) | 14.5036 | − | 15.1799i | 0.690648 | − | 0.722852i | ||||
\(442\) | 50.5300 | + | 29.2850i | 2.40347 | + | 1.39295i | ||||
\(443\) | −2.56308 | − | 3.52778i | −0.121776 | − | 0.167610i | 0.743777 | − | 0.668428i | \(-0.233032\pi\) |
−0.865552 | + | 0.500818i | \(0.833032\pi\) | |||||||
\(444\) | 16.0447 | − | 17.2979i | 0.761446 | − | 0.820923i | ||||
\(445\) | 4.00494 | + | 0.851277i | 0.189852 | + | 0.0403544i | ||||
\(446\) | 43.2005 | − | 47.9791i | 2.04561 | − | 2.27187i | ||||
\(447\) | 0.765512 | − | 3.35656i | 0.0362075 | − | 0.158760i | ||||
\(448\) | 0.583885 | + | 1.52107i | 0.0275860 | + | 0.0718639i | ||||
\(449\) | −2.60791 | − | 1.69360i | −0.123075 | − | 0.0799257i | 0.481634 | − | 0.876373i | \(-0.340044\pi\) |
−0.604708 | + | 0.796447i | \(0.706710\pi\) | |||||||
\(450\) | 0.881342 | + | 38.6833i | 0.0415469 | + | 1.82355i | ||||
\(451\) | 31.4946 | + | 12.3528i | 1.48302 | + | 0.581672i | ||||
\(452\) | 22.3785 | − | 38.7607i | 1.05260 | − | 1.82315i | ||||
\(453\) | 2.76300 | − | 5.96671i | 0.129817 | − | 0.280340i | ||||
\(454\) | 15.4811 | + | 21.3079i | 0.726563 | + | 1.00003i | ||||
\(455\) | −0.0782567 | + | 0.0397109i | −0.00366873 | + | 0.00186168i | ||||
\(456\) | 3.98544 | − | 59.2621i | 0.186635 | − | 2.77520i | ||||
\(457\) | −14.6974 | − | 22.6319i | −0.687513 | − | 1.05868i | −0.994271 | − | 0.106890i | \(-0.965911\pi\) |
0.306758 | − | 0.951788i | \(-0.400756\pi\) | |||||||
\(458\) | −1.51057 | − | 3.39280i | −0.0705844 | − | 0.158535i | ||||
\(459\) | 30.3776 | − | 0.242705i | 1.41790 | − | 0.0113285i | ||||
\(460\) | 12.3962 | − | 6.31617i | 0.577975 | − | 0.294493i | ||||
\(461\) | 8.94436 | + | 2.39664i | 0.416581 | + | 0.111622i | 0.461020 | − | 0.887390i | \(-0.347484\pi\) |
−0.0444396 | + | 0.999012i | \(0.514150\pi\) | |||||||
\(462\) | −0.403759 | − | 0.521716i | −0.0187846 | − | 0.0242724i | ||||
\(463\) | 26.5260 | − | 26.5260i | 1.23277 | − | 1.23277i | 0.269874 | − | 0.962896i | \(-0.413018\pi\) |
0.962896 | − | 0.269874i | \(-0.0869819\pi\) | |||||||
\(464\) | 5.45049 | + | 25.6426i | 0.253033 | + | 1.19043i | ||||
\(465\) | −0.808328 | − | 0.229456i | −0.0374853 | − | 0.0106408i | ||||
\(466\) | 17.5601 | − | 45.7457i | 0.813457 | − | 2.11913i | ||||
\(467\) | 4.20468 | + | 12.9407i | 0.194569 | + | 0.598823i | 0.999981 | + | 0.00610741i | \(0.00194406\pi\) |
−0.805412 | + | 0.592715i | \(0.798056\pi\) | |||||||
\(468\) | 23.7828 | − | 56.6059i | 1.09936 | − | 2.61661i | ||||
\(469\) | 0.139491 | + | 0.101346i | 0.00644110 | + | 0.00467973i | ||||
\(470\) | −0.0413933 | − | 0.0335196i | −0.00190933 | − | 0.00154614i | ||||
\(471\) | −1.00009 | + | 0.367024i | −0.0460819 | + | 0.0169116i | ||||
\(472\) | −15.3052 | + | 8.83646i | −0.704479 | + | 0.406731i | ||||
\(473\) | 2.12980 | − | 2.33111i | 0.0979283 | − | 0.107185i | ||||
\(474\) | 39.3334 | − | 52.4874i | 1.80664 | − | 2.41083i | ||||
\(475\) | 8.53588 | − | 13.1441i | 0.391653 | − | 0.603093i | ||||
\(476\) | 1.35859 | + | 0.215180i | 0.0622709 | + | 0.00986274i | ||||
\(477\) | 14.8958 | + | 17.5613i | 0.682030 | + | 0.804075i | ||||
\(478\) | −7.61829 | + | 35.8412i | −0.348452 | + | 1.63934i | ||||
\(479\) | 14.9879 | + | 23.0793i | 0.684814 | + | 1.05452i | 0.994607 | + | 0.103717i | \(0.0330735\pi\) |
−0.309793 | + | 0.950804i | \(0.600260\pi\) | |||||||
\(480\) | 14.2697 | + | 22.7016i | 0.651322 | + | 1.03618i | ||||
\(481\) | −8.60342 | − | 0.918642i | −0.392282 | − | 0.0418865i | ||||
\(482\) | 38.5711 | + | 12.5325i | 1.75687 | + | 0.570840i | ||||
\(483\) | −0.297519 | − | 0.0357268i | −0.0135376 | − | 0.00162562i | ||||
\(484\) | 54.5223 | − | 30.4312i | 2.47828 | − | 1.38324i | ||||
\(485\) | 3.10737 | + | 5.38213i | 0.141099 | + | 0.244390i | ||||
\(486\) | −5.83384 | − | 42.7939i | −0.264628 | − | 1.94117i | ||||
\(487\) | −11.1010 | − | 28.9190i | −0.503033 | − | 1.31045i | −0.916539 | − | 0.399944i | \(-0.869029\pi\) |
0.413506 | − | 0.910501i | \(-0.364304\pi\) | |||||||
\(488\) | 91.4618 | − | 74.0643i | 4.14028 | − | 3.35274i | ||||
\(489\) | −20.9393 | + | 18.3004i | −0.946906 | + | 0.827571i | ||||
\(490\) | 7.61849 | − | 8.46119i | 0.344168 | − | 0.382237i | ||||
\(491\) | 14.2470 | − | 6.34318i | 0.642959 | − | 0.286264i | −0.0592409 | − | 0.998244i | \(-0.518868\pi\) |
0.702200 | + | 0.711980i | \(0.252201\pi\) | |||||||
\(492\) | 48.8532 | + | 87.5826i | 2.20247 | + | 3.94853i | ||||
\(493\) | 8.64128 | + | 2.80772i | 0.389184 | + | 0.126453i | ||||
\(494\) | −28.2363 | + | 18.2706i | −1.27041 | + | 0.822031i | ||||
\(495\) | −4.40204 | − | 3.84163i | −0.197857 | − | 0.172668i | ||||
\(496\) | 13.4611 | − | 3.60689i | 0.604421 | − | 0.161954i | ||||
\(497\) | 0.252857 | − | 0.227673i | 0.0113422 | − | 0.0102125i | ||||
\(498\) | −5.85643 | − | 6.03227i | −0.262433 | − | 0.270313i | ||||
\(499\) | 0.00308538 | + | 0.0194803i | 0.000138120 | + | 0.000872058i | 0.987757 | − | 0.155998i | \(-0.0498595\pi\) |
−0.987619 | + | 0.156870i | \(0.949859\pi\) | |||||||
\(500\) | 1.68430 | + | 32.1383i | 0.0753241 | + | 1.43727i | ||||
\(501\) | −11.7023 | + | 34.2824i | −0.522822 | + | 1.53162i | ||||
\(502\) | −76.0827 | + | 12.0503i | −3.39574 | + | 0.537832i | ||||
\(503\) | −5.53411 | + | 12.4298i | −0.246754 | + | 0.554218i | −0.993880 | − | 0.110464i | \(-0.964766\pi\) |
0.747126 | + | 0.664682i | \(0.231433\pi\) | |||||||
\(504\) | 0.0374601 | − | 1.26602i | 0.00166861 | − | 0.0563930i | ||||
\(505\) | 1.97546 | + | 7.37252i | 0.0879069 | + | 0.328073i | ||||
\(506\) | 10.1958 | − | 36.9750i | 0.453259 | − | 1.64374i | ||||
\(507\) | −21.8513 | + | 5.43320i | −0.970451 | + | 0.241297i | ||||
\(508\) | −2.57981 | + | 7.93985i | −0.114461 | + | 0.352274i | ||||
\(509\) | 5.17515 | + | 4.19075i | 0.229384 | + | 0.185752i | 0.737122 | − | 0.675760i | \(-0.236185\pi\) |
−0.507737 | + | 0.861512i | \(0.669518\pi\) | |||||||
\(510\) | 16.4629 | − | 0.618796i | 0.728988 | − | 0.0274008i | ||||
\(511\) | 0.369353 | + | 0.332567i | 0.0163392 | + | 0.0147119i | ||||
\(512\) | −90.0647 | − | 45.8903i | −3.98034 | − | 2.02808i | ||||
\(513\) | −7.81723 | + | 15.6500i | −0.345139 | + | 0.690966i | ||||
\(514\) | 35.0344 | − | 13.4485i | 1.54530 | − | 0.593186i | ||||
\(515\) | 1.73008 | − | 0.881519i | 0.0762363 | − | 0.0388444i | ||||
\(516\) | 9.26557 | − | 1.32736i | 0.407894 | − | 0.0584339i | ||||
\(517\) | −0.107366 | + | 0.0162066i | −0.00472193 | + | 0.000712766i | ||||
\(518\) | −0.266193 | + | 0.0713263i | −0.0116959 | + | 0.00313390i | ||||
\(519\) | −26.4863 | − | 22.1047i | −1.16262 | − | 0.970288i | ||||
\(520\) | 7.76158 | − | 20.1201i | 0.340368 | − | 0.882325i | ||||
\(521\) | −25.9876 | + | 35.7688i | −1.13854 | + | 1.56706i | −0.367803 | + | 0.929904i | \(0.619890\pi\) |
−0.770733 | + | 0.637158i | \(0.780110\pi\) | |||||||
\(522\) | 2.39724 | − | 12.6933i | 0.104924 | − | 0.555572i | ||||
\(523\) | 35.1983 | + | 7.48164i | 1.53912 | + | 0.327149i | 0.897896 | − | 0.440208i | \(-0.145095\pi\) |
0.641220 | + | 0.767357i | \(0.278429\pi\) | |||||||
\(524\) | 4.56560 | − | 43.4388i | 0.199449 | − | 1.89763i | ||||
\(525\) | 0.171365 | − | 0.286927i | 0.00747897 | − | 0.0125225i | ||||
\(526\) | −49.0484 | − | 31.8524i | −2.13861 | − | 1.38883i | ||||
\(527\) | 1.25011 | − | 4.66547i | 0.0544556 | − | 0.203231i | ||||
\(528\) | 95.3502 | + | 17.2654i | 4.14958 | + | 0.751379i | ||||
\(529\) | 2.78902 | + | 4.83072i | 0.121262 | + | 0.210031i | ||||
\(530\) | 8.35621 | + | 9.28051i | 0.362970 | + | 0.403119i | ||||
\(531\) | 5.16292 | − | 0.661860i | 0.224052 | − | 0.0287223i | ||||
\(532\) | −0.465591 | + | 0.640831i | −0.0201859 | + | 0.0277835i | ||||
\(533\) | 15.0143 | − | 33.5732i | 0.650343 | − | 1.45422i | ||||
\(534\) | 33.3857 | + | 2.24523i | 1.44474 | + | 0.0971605i | ||||
\(535\) | 7.54087 | + | 2.89467i | 0.326020 | + | 0.125148i | ||||
\(536\) | −42.1389 | + | 4.42897i | −1.82012 | + | 0.191302i | ||||
\(537\) | −1.03085 | + | 5.93867i | −0.0444843 | + | 0.256272i | ||||
\(538\) | 7.85332 | + | 7.85332i | 0.338581 | + | 0.338581i | ||||
\(539\) | −2.25847 | − | 23.1005i | −0.0972790 | − | 0.995011i | ||||
\(540\) | −2.84598 | − | 17.0843i | −0.122471 | − | 0.735190i | ||||
\(541\) | −5.85121 | − | 11.4837i | −0.251563 | − | 0.493721i | 0.730345 | − | 0.683079i | \(-0.239359\pi\) |
−0.981908 | + | 0.189358i | \(0.939359\pi\) | |||||||
\(542\) | −29.4334 | + | 66.1084i | −1.26427 | + | 2.83960i | ||||
\(543\) | −14.1039 | + | 0.530130i | −0.605257 | + | 0.0227500i | ||||
\(544\) | −129.267 | + | 83.9470i | −5.54228 | + | 3.59920i | ||||
\(545\) | −1.64859 | − | 5.07384i | −0.0706179 | − | 0.217339i | ||||
\(546\) | −0.587059 | + | 0.411947i | −0.0251238 | + | 0.0176297i | ||||
\(547\) | −12.7779 | + | 9.28368i | −0.546343 | + | 0.396941i | −0.826435 | − | 0.563032i | \(-0.809635\pi\) |
0.280092 | + | 0.959973i | \(0.409635\pi\) | |||||||
\(548\) | −77.6592 | − | 4.06994i | −3.31744 | − | 0.173859i | ||||
\(549\) | −33.2687 | + | 9.73171i | −1.41987 | + | 0.415339i | ||||
\(550\) | 33.0477 | + | 27.1612i | 1.40916 | + | 1.15816i | ||||
\(551\) | −3.69976 | + | 3.69976i | −0.157615 | + | 0.157615i | ||||
\(552\) | 60.2082 | − | 42.3977i | 2.56263 | − | 1.80456i | ||||
\(553\) | −0.528890 | + | 0.203022i | −0.0224907 | + | 0.00863337i | ||||
\(554\) | 10.2290 | + | 64.5833i | 0.434588 | + | 2.74388i | ||||
\(555\) | −2.19081 | + | 1.07576i | −0.0929948 | + | 0.0456635i | ||||
\(556\) | 0.704023 | − | 3.31217i | 0.0298572 | − | 0.140467i | ||||
\(557\) | 7.95143 | + | 3.05227i | 0.336913 | + | 0.129329i | 0.520942 | − | 0.853592i | \(-0.325581\pi\) |
−0.184029 | + | 0.982921i | \(0.558914\pi\) | |||||||
\(558\) | −6.80513 | − | 0.919464i | −0.288084 | − | 0.0389240i | ||||
\(559\) | −2.42321 | − | 2.43124i | −0.102491 | − | 0.102830i | ||||
\(560\) | − | 0.410557i | − | 0.0173492i | ||||||
\(561\) | 21.7060 | − | 25.6278i | 0.916426 | − | 1.08201i | ||||
\(562\) | 9.97533 | − | 17.2778i | 0.420784 | − | 0.728819i | ||||
\(563\) | 10.5142 | − | 2.23485i | 0.443119 | − | 0.0941878i | 0.0190516 | − | 0.999819i | \(-0.493935\pi\) |
0.424067 | + | 0.905631i | \(0.360602\pi\) | |||||||
\(564\) | −0.276343 | − | 0.165044i | −0.0116362 | − | 0.00694960i | ||||
\(565\) | −3.59818 | + | 2.91375i | −0.151377 | + | 0.122582i | ||||
\(566\) | −50.5892 | + | 2.65127i | −2.12642 | + | 0.111441i | ||||
\(567\) | −0.154044 | + | 0.339751i | −0.00646923 | + | 0.0142682i | ||||
\(568\) | −8.74007 | + | 83.1562i | −0.366725 | + | 3.48916i | ||||
\(569\) | −3.58233 | − | 34.0836i | −0.150179 | − | 1.42886i | −0.766946 | − | 0.641712i | \(-0.778224\pi\) |
0.616767 | − | 0.787146i | \(-0.288442\pi\) | |||||||
\(570\) | −3.98647 | + | 8.60879i | −0.166975 | + | 0.360582i | ||||
\(571\) | 39.1148i | 1.63690i | 0.574576 | + | 0.818451i | \(0.305167\pi\) | ||||
−0.574576 | + | 0.818451i | \(0.694833\pi\) | |||||||
\(572\) | −30.2761 | − | 60.7532i | −1.26591 | − | 2.54022i | ||||
\(573\) | −22.9165 | − | 9.18794i | −0.957349 | − | 0.383832i | ||||
\(574\) | 0.0613062 | − | 1.16979i | 0.00255887 | − | 0.0488262i | ||||
\(575\) | 19.3242 | − | 2.03105i | 0.805873 | − | 0.0847007i | ||||
\(576\) | 76.2805 | + | 89.9305i | 3.17836 | + | 3.74710i | ||||
\(577\) | 9.86995 | − | 19.3709i | 0.410892 | − | 0.806420i | −0.589107 | − | 0.808055i | \(-0.700520\pi\) |
0.999999 | + | 0.00163482i | \(0.000520380\pi\) | |||||||
\(578\) | 2.49113 | + | 47.5336i | 0.103617 | + | 1.97714i | ||||
\(579\) | −34.8358 | + | 10.7519i | −1.44773 | + | 0.446833i | ||||
\(580\) | 0.810359 | − | 5.11641i | 0.0336483 | − | 0.212447i | ||||
\(581\) | 0.0150981 | + | 0.0710310i | 0.000626375 | + | 0.00294686i | ||||
\(582\) | 31.3755 | + | 39.9391i | 1.30056 | + | 1.65553i | ||||
\(583\) | 25.4576 | + | 0.184893i | 1.05434 | + | 0.00765748i | ||||
\(584\) | −122.137 | −5.05408 | ||||||||
\(585\) | −4.39537 | + | 4.58512i | −0.181726 | + | 0.189571i | ||||
\(586\) | 29.8064 | − | 21.6556i | 1.23129 | − | 0.894585i | ||||
\(587\) | −8.06353 | + | 21.0062i | −0.332817 | + | 0.867019i | 0.660418 | + | 0.750898i | \(0.270379\pi\) |
−0.993235 | + | 0.116121i | \(0.962954\pi\) | |||||||
\(588\) | 38.3233 | − | 57.1444i | 1.58043 | − | 2.35659i | ||||
\(589\) | 2.06701 | + | 1.86114i | 0.0851695 | + | 0.0766869i | ||||
\(590\) | 2.78805 | − | 0.441584i | 0.114782 | − | 0.0181797i | ||||
\(591\) | 0.379651 | − | 25.6673i | 0.0156168 | − | 1.05581i | ||||
\(592\) | 22.0465 | − | 33.9487i | 0.906106 | − | 1.39528i | ||||
\(593\) | 4.60162 | + | 4.60162i | 0.188966 | + | 0.188966i | 0.795249 | − | 0.606283i | \(-0.207340\pi\) |
−0.606283 | + | 0.795249i | \(0.707340\pi\) | |||||||
\(594\) | −40.0638 | − | 25.9763i | −1.64384 | − | 1.06582i | ||||
\(595\) | −0.123231 | − | 0.0711473i | −0.00505197 | − | 0.00291676i | ||||
\(596\) | 0.590491 | − | 11.2672i | 0.0241875 | − | 0.461524i | ||||
\(597\) | −12.9583 | + | 3.26754i | −0.530347 | + | 0.133732i | ||||
\(598\) | −39.6342 | − | 12.9504i | −1.62076 | − | 0.529582i | ||||
\(599\) | 9.40097 | − | 3.05456i | 0.384113 | − | 0.124806i | −0.110594 | − | 0.993866i | \(-0.535275\pi\) |
0.494707 | + | 0.869060i | \(0.335275\pi\) | |||||||
\(600\) | 15.8854 | + | 80.5773i | 0.648521 | + | 3.28955i | ||||
\(601\) | −20.4151 | + | 9.08937i | −0.832747 | + | 0.370763i | −0.778407 | − | 0.627760i | \(-0.783972\pi\) |
−0.0543400 | + | 0.998522i | \(0.517305\pi\) | |||||||
\(602\) | −0.0998795 | − | 0.0444692i | −0.00407078 | − | 0.00181243i | ||||
\(603\) | 11.9534 | + | 3.58502i | 0.486781 | + | 0.145993i | ||||
\(604\) | 5.57733 | − | 20.8149i | 0.226938 | − | 0.846945i | ||||
\(605\) | −6.39372 | + | 0.917678i | −0.259942 | + | 0.0373089i | ||||
\(606\) | 24.5253 | + | 57.3528i | 0.996271 | + | 2.32980i | ||||
\(607\) | −8.06633 | + | 1.71455i | −0.327402 | + | 0.0695915i | −0.368680 | − | 0.929556i | \(-0.620190\pi\) |
0.0412783 | + | 0.999148i | \(0.486857\pi\) | |||||||
\(608\) | −9.27786 | − | 88.2729i | −0.376267 | − | 3.57994i | ||||
\(609\) | −0.0758756 | + | 0.0818023i | −0.00307463 | + | 0.00331480i | ||||
\(610\) | −17.8779 | + | 5.80887i | −0.723854 | + | 0.235194i | ||||
\(611\) | 0.0121445 | + | 0.117415i | 0.000491314 | + | 0.00475008i | ||||
\(612\) | 97.9518 | − | 17.8100i | 3.95947 | − | 0.719927i | ||||
\(613\) | −15.6144 | + | 19.2822i | −0.630659 | + | 0.778799i | −0.987880 | − | 0.155221i | \(-0.950391\pi\) |
0.357221 | + | 0.934020i | \(0.383724\pi\) | |||||||
\(614\) | −24.4771 | + | 22.0393i | −0.987817 | + | 0.889435i | ||||
\(615\) | −1.47119 | − | 10.2695i | −0.0593240 | − | 0.414107i | ||||
\(616\) | −1.03376 | − | 0.944482i | −0.0416512 | − | 0.0380543i | ||||
\(617\) | −9.64085 | − | 2.58326i | −0.388126 | − | 0.103998i | 0.0594787 | − | 0.998230i | \(-0.481056\pi\) |
−0.447605 | + | 0.894232i | \(0.647723\pi\) | |||||||
\(618\) | 12.9744 | − | 9.13634i | 0.521905 | − | 0.367517i | ||||
\(619\) | −2.70886 | + | 17.1031i | −0.108878 | + | 0.687430i | 0.871513 | + | 0.490372i | \(0.163139\pi\) |
−0.980392 | + | 0.197059i | \(0.936861\pi\) | |||||||
\(620\) | −2.73867 | − | 0.287845i | −0.109987 | − | 0.0115601i | ||||
\(621\) | −21.1779 | + | 4.67865i | −0.849840 | + | 0.187748i | ||||
\(622\) | 9.85808 | − | 6.40191i | 0.395273 | − | 0.256693i | ||||
\(623\) | −0.233816 | − | 0.169878i | −0.00936766 | − | 0.00680600i | ||||
\(624\) | 23.5932 | − | 102.666i | 0.944484 | − | 4.10994i | ||||
\(625\) | −6.16389 | + | 18.9705i | −0.246556 | + | 0.758820i | ||||
\(626\) | 12.9519 | + | 48.3371i | 0.517662 | + | 1.93194i | ||||
\(627\) | 7.47482 | + | 17.8372i | 0.298515 | + | 0.712350i | ||||
\(628\) | −3.02355 | + | 1.74565i | −0.120653 | + | 0.0696589i | ||||
\(629\) | −6.36932 | − | 12.5005i | −0.253961 | − | 0.498427i | ||||
\(630\) | −0.0780531 | + | 0.186639i | −0.00310971 | + | 0.00743589i | ||||
\(631\) | −24.7585 | − | 30.5742i | −0.985620 | − | 1.21714i | −0.976131 | − | 0.217185i | \(-0.930313\pi\) |
−0.00948972 | − | 0.999955i | \(-0.503021\pi\) | |||||||
\(632\) | 63.2034 | − | 124.044i | 2.51409 | − | 4.93419i | ||||
\(633\) | −0.414943 | − | 0.845040i | −0.0164925 | − | 0.0335873i | ||||
\(634\) | −35.0213 | − | 78.6591i | −1.39087 | − | 3.12395i | ||||
\(635\) | 0.543498 | − | 0.671164i | 0.0215680 | − | 0.0266343i | ||||
\(636\) | 57.9407 | + | 48.3556i | 2.29750 | + | 1.91743i | ||||
\(637\) | −25.2002 | + | 1.27891i | −0.998470 | + | 0.0506721i | ||||
\(638\) | −8.90653 | − | 11.1635i | −0.352613 | − | 0.441965i | ||||
\(639\) | 11.8244 | − | 21.6023i | 0.467766 | − | 0.854576i | ||||
\(640\) | 22.0741 | + | 24.5158i | 0.872555 | + | 0.969071i | ||||
\(641\) | −27.3672 | − | 12.1847i | −1.08094 | − | 0.481265i | −0.212551 | − | 0.977150i | \(-0.568177\pi\) |
−0.868388 | + | 0.495885i | \(0.834844\pi\) | |||||||
\(642\) | 64.3588 | + | 14.6780i | 2.54004 | + | 0.579294i | ||||
\(643\) | 17.6395 | − | 0.924447i | 0.695634 | − | 0.0364566i | 0.298758 | − | 0.954329i | \(-0.403428\pi\) |
0.396876 | + | 0.917872i | \(0.370094\pi\) | |||||||
\(644\) | −0.980702 | + | 0.0513964i | −0.0386451 | + | 0.00202530i | ||||
\(645\) | −0.944045 | − | 0.215304i | −0.0371717 | − | 0.00847757i | ||||
\(646\) | −49.8189 | − | 22.1808i | −1.96010 | − | 0.872692i | ||||
\(647\) | 16.5027 | + | 18.3281i | 0.648786 | + | 0.720550i | 0.974367 | − | 0.224964i | \(-0.0722264\pi\) |
−0.325581 | + | 0.945514i | \(0.605560\pi\) | |||||||
\(648\) | −27.7346 | − | 87.3759i | −1.08952 | − | 3.43245i | ||||
\(649\) | 3.16911 | − | 4.80327i | 0.124399 | − | 0.188545i | ||||
\(650\) | 31.1741 | − | 34.5074i | 1.22275 | − | 1.35349i | ||||
\(651\) | 0.0455369 | + | 0.0380038i | 0.00178473 | + | 0.00148949i | ||||
\(652\) | −57.3548 | + | 70.8273i | −2.24619 | + | 2.77381i | ||||
\(653\) | 7.09274 | + | 15.9306i | 0.277560 | + | 0.623411i | 0.997503 | − | 0.0706226i | \(-0.0224986\pi\) |
−0.719943 | + | 0.694034i | \(0.755832\pi\) | |||||||
\(654\) | −19.2170 | − | 39.1358i | −0.751443 | − | 1.53033i | ||||
\(655\) | −2.05130 | + | 4.02591i | −0.0801510 | + | 0.157305i | ||||
\(656\) | 108.281 | + | 133.716i | 4.22768 | + | 5.22075i | ||||
\(657\) | 33.1876 | + | 13.8792i | 1.29477 | + | 0.541477i | ||||
\(658\) | 0.00170687 | + | 0.00334992i | 6.65406e−5 | + | 0.000130593i | ||||
\(659\) | 1.40886 | − | 0.813407i | 0.0548815 | − | 0.0316858i | −0.472308 | − | 0.881433i | \(-0.656579\pi\) |
0.527190 | + | 0.849748i | \(0.323246\pi\) | |||||||
\(660\) | −16.3672 | − | 9.93715i | −0.637092 | − | 0.386803i | ||||
\(661\) | −10.8858 | − | 40.6262i | −0.423407 | − | 1.58018i | −0.767378 | − | 0.641195i | \(-0.778439\pi\) |
0.343971 | − | 0.938980i | \(-0.388228\pi\) | |||||||
\(662\) | 22.0003 | − | 67.7099i | 0.855066 | − | 2.63162i | ||||
\(663\) | −26.7272 | − | 24.8731i | −1.03800 | − | 0.965991i | ||||
\(664\) | −14.4371 | − | 10.4892i | −0.560269 | − | 0.407059i | ||||
\(665\) | 0.0687222 | − | 0.0446287i | 0.00266493 | − | 0.00173063i | ||||
\(666\) | −16.4765 | + | 11.2417i | −0.638451 | + | 0.435606i | ||||
\(667\) | −6.45134 | − | 0.678063i | −0.249797 | − | 0.0262547i | ||||
\(668\) | −18.5714 | + | 117.255i | −0.718551 | + | 4.53675i | ||||
\(669\) | −33.0000 | + | 23.2381i | −1.27585 | + | 0.898436i | ||||
\(670\) | 6.53709 | + | 1.75161i | 0.252550 | + | 0.0676705i | ||||
\(671\) | −15.8405 | + | 34.8941i | −0.611515 | + | 1.34707i | ||||
\(672\) | −0.268406 | − | 1.87359i | −0.0103540 | − | 0.0722754i | ||||
\(673\) | −28.3806 | + | 25.5540i | −1.09399 | + | 0.985036i | −0.999945 | − | 0.0105317i | \(-0.996648\pi\) |
−0.0940487 | + | 0.995568i | \(0.529981\pi\) | |||||||
\(674\) | −7.91332 | + | 9.77214i | −0.304810 | + | 0.376409i | ||||
\(675\) | 4.84000 | − | 23.6999i | 0.186292 | − | 0.912210i | ||||
\(676\) | −67.5117 | + | 29.7910i | −2.59661 | + | 1.14581i | ||||
\(677\) | −6.25497 | + | 2.03236i | −0.240398 | + | 0.0781101i | −0.426738 | − | 0.904375i | \(-0.640337\pi\) |
0.186340 | + | 0.982485i | \(0.440337\pi\) | |||||||
\(678\) | −25.7317 | + | 27.7417i | −0.988222 | + | 1.06541i | ||||
\(679\) | −0.0458547 | − | 0.436278i | −0.00175974 | − | 0.0167428i | ||||
\(680\) | 34.2037 | − | 7.27021i | 1.31165 | − | 0.278800i | ||||
\(681\) | −6.47378 | − | 15.1391i | −0.248076 | − | 0.580130i | ||||
\(682\) | −5.67849 | + | 5.03874i | −0.217441 | + | 0.192943i | ||||
\(683\) | −10.2723 | + | 38.3368i | −0.393059 | + | 1.46692i | 0.432002 | + | 0.901873i | \(0.357807\pi\) |
−0.825061 | + | 0.565044i | \(0.808859\pi\) | |||||||
\(684\) | −16.4698 | + | 54.9148i | −0.629739 | + | 2.09972i | ||||
\(685\) | 7.34917 | + | 3.27206i | 0.280797 | + | 0.125019i | ||||
\(686\) | −1.46858 | + | 0.653853i | −0.0560706 | + | 0.0249642i | ||||
\(687\) | 0.449074 | + | 2.27788i | 0.0171333 | + | 0.0869067i | ||||
\(688\) | 15.2732 | − | 4.96257i | 0.582286 | − | 0.189196i | ||||
\(689\) | 1.49415 | − | 27.6356i | 0.0569226 | − | 1.05283i | ||||
\(690\) | −11.4049 | + | 2.87583i | −0.434175 | + | 0.109481i | ||||
\(691\) | −0.516015 | + | 9.84615i | −0.0196301 | + | 0.374565i | 0.971096 | + | 0.238690i | \(0.0767180\pi\) |
−0.990726 | + | 0.135875i | \(0.956615\pi\) | |||||||
\(692\) | −97.9125 | − | 56.5298i | −3.72207 | − | 2.14894i | ||||
\(693\) | 0.173569 | + | 0.374110i | 0.00659335 | + | 0.0142113i | ||||
\(694\) | 53.6637 | + | 53.6637i | 2.03705 | + | 2.03705i | ||||
\(695\) | −0.190782 | + | 0.293778i | −0.00723676 | + | 0.0111436i | ||||
\(696\) | 0.405507 | − | 27.4154i | 0.0153707 | − | 1.03918i | ||||
\(697\) | 58.9002 | − | 9.32887i | 2.23100 | − | 0.353356i | ||||
\(698\) | −27.3925 | − | 24.6643i | −1.03682 | − | 0.933559i | ||||
\(699\) | −17.0618 | + | 25.4410i | −0.645335 | + | 0.962266i | ||||
\(700\) | 0.392510 | − | 1.02252i | 0.0148355 | − | 0.0386477i | ||||
\(701\) | 19.7221 | − | 14.3289i | 0.744892 | − | 0.541195i | −0.149348 | − | 0.988785i | \(-0.547717\pi\) |
0.894239 | + | 0.447589i | \(0.147717\pi\) | |||||||
\(702\) | −30.2438 | + | 42.1866i | −1.14148 | + | 1.59223i | ||||
\(703\) | 8.07910 | 0.304709 | ||||||||
\(704\) | 130.367 | + | 0.946829i | 4.91339 | + | 0.0356849i | ||||
\(705\) | 0.0205697 | + | 0.0261840i | 0.000774701 | + | 0.000986148i | ||||
\(706\) | −5.00521 | − | 23.5477i | −0.188373 | − | 0.886228i | ||||
\(707\) | 0.0842811 | − | 0.532130i | 0.00316972 | − | 0.0200128i | ||||
\(708\) | 16.2999 | − | 5.03088i | 0.612588 | − | 0.189072i | ||||
\(709\) | −0.676971 | − | 12.9174i | −0.0254242 | − | 0.485123i | −0.981435 | − | 0.191793i | \(-0.938570\pi\) |
0.956011 | − | 0.293330i | \(-0.0947634\pi\) | |||||||
\(710\) | 6.06317 | − | 11.8996i | 0.227547 | − | 0.446585i | ||||
\(711\) | −31.2696 | + | 26.5234i | −1.17270 | + | 0.994706i | ||||
\(712\) | 70.6336 | − | 7.42389i | 2.64711 | − | 0.278222i | ||||
\(713\) | −0.180474 | + | 3.44365i | −0.00675881 | + | 0.128966i | ||||
\(714\) | −1.07937 | − | 0.432752i | −0.0403943 | − | 0.0161953i | ||||
\(715\) | 0.671697 | + | 6.98974i | 0.0251201 | + | 0.261401i | ||||
\(716\) | 19.7535i | 0.738222i | ||||||||
\(717\) | 9.62545 | − | 20.7862i | 0.359469 | − | 0.776274i | ||||
\(718\) | 3.65475 | + | 34.7727i | 0.136394 | + | 1.29770i | ||||
\(719\) | 3.85672 | − | 36.6942i | 0.143831 | − | 1.36846i | −0.649819 | − | 0.760089i | \(-0.725155\pi\) |
0.793651 | − | 0.608374i | \(-0.208178\pi\) | |||||||
\(720\) | −9.82387 | − | 28.0445i | −0.366114 | − | 1.04516i | ||||
\(721\) | −0.136872 | + | 0.00717316i | −0.00509738 | + | 0.000267143i | ||||
\(722\) | −16.5051 | + | 13.3656i | −0.614257 | + | 0.497415i | ||||
\(723\) | −21.7669 | − | 13.0001i | −0.809521 | − | 0.483480i | ||||
\(724\) | −45.2438 | + | 9.61687i | −1.68147 | + | 0.357408i | ||||
\(725\) | 3.61738 | − | 6.26549i | 0.134346 | − | 0.232694i | ||||
\(726\) | −50.6604 | + | 14.8337i | −1.88018 | + | 0.550529i | ||||
\(727\) | 14.9901i | 0.555954i | 0.960588 | + | 0.277977i | \(0.0896639\pi\) | ||||
−0.960588 | + | 0.277977i | \(0.910336\pi\) | |||||||
\(728\) | −1.07816 | + | 1.07460i | −0.0399592 | + | 0.0398273i | ||||
\(729\) | −2.39286 | + | 26.8938i | −0.0886244 | + | 0.996065i | ||||
\(730\) | 18.2126 | + | 6.99116i | 0.674079 | + | 0.258755i | ||||
\(731\) | 1.15722 | − | 5.44431i | 0.0428015 | − | 0.201365i | ||||
\(732\) | −101.969 | + | 50.0701i | −3.76887 | + | 1.85064i | ||||
\(733\) | 2.12979 | + | 13.4470i | 0.0786656 | + | 0.496675i | 0.995291 | + | 0.0969285i | \(0.0309018\pi\) |
−0.916626 | + | 0.399746i | \(0.869098\pi\) | |||||||
\(734\) | 1.15590 | − | 0.443709i | 0.0426651 | − | 0.0163776i | ||||
\(735\) | −5.81960 | + | 4.09807i | −0.214659 | + | 0.151160i | ||||
\(736\) | 77.8117 | − | 77.8117i | 2.86818 | − | 2.86818i | ||||
\(737\) | 11.6250 | − | 7.42991i | 0.428213 | − | 0.273684i | ||||
\(738\) | −23.8032 | − | 81.3734i | −0.876208 | − | 2.99539i | ||||
\(739\) | 14.6572 | + | 0.768153i | 0.539175 | + | 0.0282570i | 0.319980 | − | 0.947424i | \(-0.396324\pi\) |
0.219195 | + | 0.975681i | \(0.429657\pi\) | |||||||
\(740\) | −6.47108 | + | 4.70152i | −0.237882 | + | 0.172831i | ||||
\(741\) | 19.7497 | − | 7.21088i | 0.725523 | − | 0.264898i | ||||
\(742\) | −0.272400 | − | 0.838359i | −0.0100001 | − | 0.0307771i | ||||
\(743\) | 0.508413 | − | 0.330167i | 0.0186518 | − | 0.0121127i | −0.535279 | − | 0.844675i | \(-0.679794\pi\) |
0.553931 | + | 0.832562i | \(0.313127\pi\) | |||||||
\(744\) | −14.5651 | + | 0.547466i | −0.533984 | + | 0.0200711i | ||||
\(745\) | −0.474730 | + | 1.06626i | −0.0173927 | + | 0.0390647i | ||||
\(746\) | −17.6186 | − | 34.5784i | −0.645063 | − | 1.26601i | ||||
\(747\) | 2.73096 | + | 4.49073i | 0.0999208 | + | 0.164307i | ||||
\(748\) | 55.7235 | − | 94.9171i | 2.03745 | − | 3.47051i | ||||
\(749\) | −0.403163 | − | 0.403163i | −0.0147313 | − | 0.0147313i | ||||
\(750\) | 4.65315 | − | 26.8066i | 0.169909 | − | 0.978839i | ||||
\(751\) | 10.5173 | − | 1.10541i | 0.383781 | − | 0.0403370i | 0.0893264 | − | 0.996002i | \(-0.471529\pi\) |
0.294455 | + | 0.955665i | \(0.404862\pi\) | |||||||
\(752\) | −0.515564 | − | 0.197907i | −0.0188007 | − | 0.00721691i | ||||
\(753\) | 48.0473 | + | 3.23124i | 1.75094 | + | 0.117753i | ||||
\(754\) | −12.5752 | + | 9.10468i | −0.457961 | + | 0.331573i | ||||
\(755\) | −1.31029 | + | 1.80346i | −0.0476865 | + | 0.0656348i | ||||
\(756\) | −0.306974 | + | 1.18338i | −0.0111645 | + | 0.0430391i | ||||
\(757\) | 30.1661 | + | 33.5029i | 1.09641 | + | 1.21768i | 0.974321 | + | 0.225163i | \(0.0722915\pi\) |
0.122085 | + | 0.992520i | \(0.461042\pi\) | |||||||
\(758\) | 20.2372 | + | 35.0519i | 0.735049 | + | 1.27314i | ||||
\(759\) | −11.3541 | + | 21.1190i | −0.412126 | + | 0.766570i | ||||
\(760\) | −5.21172 | + | 19.4504i | −0.189049 | + | 0.705541i | ||||
\(761\) | −25.1340 | − | 16.3222i | −0.911107 | − | 0.591680i | 0.00173220 | − | 0.999998i | \(-0.499449\pi\) |
−0.912840 | + | 0.408318i | \(0.866115\pi\) | |||||||
\(762\) | 3.61896 | − | 6.05945i | 0.131101 | − | 0.219511i | ||||
\(763\) | −0.0393632 | + | 0.374516i | −0.00142505 | + | 0.0135584i | ||||
\(764\) | −79.1461 | − | 16.8230i | −2.86340 | − | 0.608635i | ||||
\(765\) | −10.1201 | − | 1.91127i | −0.365893 | − | 0.0691020i | ||||
\(766\) | 22.5241 | − | 31.0017i | 0.813828 | − | 1.12014i | ||||
\(767\) | −5.05499 | − | 3.68546i | −0.182525 | − | 0.133074i | ||||
\(768\) | 102.444 | + | 85.4967i | 3.69662 | + | 3.08510i | ||||
\(769\) | 16.7031 | − | 4.47559i | 0.602330 | − | 0.161394i | 0.0552478 | − | 0.998473i | \(-0.482405\pi\) |
0.547082 | + | 0.837079i | \(0.315738\pi\) | |||||||
\(770\) | 0.100087 | + | 0.200010i | 0.00360689 | + | 0.00720785i | ||||
\(771\) | −23.2228 | + | 3.32685i | −0.836350 | + | 0.119814i | ||||
\(772\) | −106.457 | + | 54.2425i | −3.83147 | + | 1.95223i | ||||
\(773\) | 13.5303 | − | 5.19380i | 0.486652 | − | 0.186808i | −0.102656 | − | 0.994717i | \(-0.532734\pi\) |
0.589307 | + | 0.807909i | \(0.299401\pi\) | |||||||
\(774\) | −7.88666 | − | 0.647684i | −0.283480 | − | 0.0232805i | ||||
\(775\) | −3.42677 | − | 1.74603i | −0.123093 | − | 0.0627191i | ||||
\(776\) | 80.1129 | + | 72.1340i | 2.87588 | + | 2.58946i | ||||
\(777\) | 0.172159 | − | 0.00647102i | 0.00617617 | − | 0.000232146i | ||||
\(778\) | 22.3210 | + | 18.0752i | 0.800245 | + | 0.648026i | ||||
\(779\) | −10.6120 | + | 32.6603i | −0.380213 | + | 1.17018i | ||||
\(780\) | −11.6226 | + | 17.2687i | −0.416154 | + | 0.618319i | ||||
\(781\) | −9.57204 | − | 25.4878i | −0.342515 | − | 0.912024i | ||||
\(782\) | −17.4988 | − | 65.3062i | −0.625754 | − | 2.33535i | ||||
\(783\) | −3.22555 | + | 7.40333i | −0.115272 | + | 0.264574i | ||||
\(784\) | 48.0148 | − | 107.843i | 1.71481 | − | 3.85153i | ||||
\(785\) | 0.356719 | − | 0.0564987i | 0.0127318 | − | 0.00201653i | ||||
\(786\) | −11.9289 | + | 34.9461i | −0.425490 | + | 1.24649i | ||||
\(787\) | −1.30990 | − | 24.9944i | −0.0466928 | − | 0.890952i | −0.917109 | − | 0.398636i | \(-0.869484\pi\) |
0.870416 | − | 0.492316i | \(-0.163850\pi\) | |||||||
\(788\) | −13.1604 | − | 83.0915i | −0.468820 | − | 2.96001i | ||||
\(789\) | 25.4673 | + | 26.2319i | 0.906658 | + | 0.933882i | ||||
\(790\) | −16.5249 | + | 14.8791i | −0.587930 | + | 0.529374i | ||||
\(791\) | 0.315682 | − | 0.0845868i | 0.0112244 | − | 0.00300756i | ||||
\(792\) | −93.2138 | − | 39.7801i | −3.31221 | − | 1.41352i | ||||
\(793\) | 37.0876 | + | 18.9744i | 1.31702 | + | 0.673801i | ||||
\(794\) | 15.2888 | + | 4.96764i | 0.542580 | + | 0.176295i | ||||
\(795\) | −3.80306 | − | 6.81801i | −0.134880 | − | 0.241810i | ||||
\(796\) | −40.0103 | + | 17.8137i | −1.41813 | + | 0.631391i | ||||
\(797\) | −10.6831 | + | 11.8648i | −0.378414 | + | 0.420272i | −0.902024 | − | 0.431687i | \(-0.857919\pi\) |
0.523609 | + | 0.851959i | \(0.324585\pi\) | |||||||
\(798\) | 0.504227 | − | 0.440681i | 0.0178495 | − | 0.0155999i | ||||
\(799\) | −0.148747 | + | 0.120453i | −0.00526229 | + | 0.00426132i | ||||
\(800\) | 43.9823 | + | 114.578i | 1.55501 | + | 4.05094i | ||||
\(801\) | −20.0365 | − | 6.00925i | −0.707953 | − | 0.212326i | ||||
\(802\) | 4.36200 | + | 7.55521i | 0.154028 | + | 0.266784i | ||||
\(803\) | 35.5651 | − | 17.7972i | 1.25506 | − | 0.628048i | ||||
\(804\) | 40.6065 | + | 4.87611i | 1.43208 | + | 0.171967i | ||||
\(805\) | 0.0966181 | + | 0.0313931i | 0.00340534 | + | 0.00110646i | ||||
\(806\) | 5.18321 | + | 6.42242i | 0.182571 | + | 0.226220i | ||||
\(807\) | −3.69493 | − | 5.87824i | −0.130068 | − | 0.206924i | ||||
\(808\) | 72.1085 | + | 111.037i | 2.53677 | + | 3.90628i | ||||
\(809\) | −1.42169 | + | 6.68852i | −0.0499839 | + | 0.235156i | −0.996047 | − | 0.0888262i | \(-0.971688\pi\) |
0.946063 | + | 0.323982i | \(0.105022\pi\) | |||||||
\(810\) | −0.865741 | + | 14.6167i | −0.0304190 | + | 0.513577i | ||||
\(811\) | −33.9479 | − | 5.37682i | −1.19207 | − | 0.188806i | −0.471297 | − | 0.881975i | \(-0.656214\pi\) |
−0.720775 | + | 0.693169i | \(0.756214\pi\) | |||||||
\(812\) | −0.199150 | + | 0.306664i | −0.00698878 | + | 0.0107618i | ||||
\(813\) | 27.1290 | − | 36.2016i | 0.951455 | − | 1.26964i | ||||
\(814\) | −2.46420 | + | 21.9132i | −0.0863703 | + | 0.768058i | ||||
\(815\) | 8.16486 | − | 4.71398i | 0.286003 | − | 0.165124i | ||||
\(816\) | 160.354 | − | 58.8480i | 5.61350 | − | 2.06009i | ||||
\(817\) | 2.49091 | + | 2.01710i | 0.0871460 | + | 0.0705694i | ||||
\(818\) | −26.7905 | − | 19.4645i | −0.936710 | − | 0.680559i | ||||
\(819\) | 0.415074 | − | 0.169477i | 0.0145039 | − | 0.00592200i | ||||
\(820\) | −10.5064 | − | 32.3353i | −0.366898 | − | 1.12920i | ||||
\(821\) | 7.55767 | − | 19.6884i | 0.263764 | − | 0.687130i | −0.736182 | − | 0.676784i | \(-0.763373\pi\) |
0.999946 | − | 0.0103462i | \(-0.00329336\pi\) | |||||||
\(822\) | 63.2454 | + | 17.9532i | 2.20594 | + | 0.626189i | ||||
\(823\) | −0.0369154 | − | 0.173674i | −0.00128679 | − | 0.00605388i | 0.977500 | − | 0.210938i | \(-0.0676517\pi\) |
−0.978786 | + | 0.204884i | \(0.934318\pi\) | |||||||
\(824\) | 23.8163 | − | 23.8163i | 0.829681 | − | 0.829681i | ||||
\(825\) | −16.3669 | − | 21.1485i | −0.569824 | − | 0.736297i | ||||
\(826\) | −0.192464 | − | 0.0515706i | −0.00669669 | − | 0.00179437i | ||||
\(827\) | −24.6830 | + | 12.5766i | −0.858313 | + | 0.437332i | −0.827016 | − | 0.562178i | \(-0.809964\pi\) |
−0.0312963 | + | 0.999510i | \(0.509964\pi\) | |||||||
\(828\) | −65.7602 | + | 26.9772i | −2.28533 | + | 0.937521i | ||||
\(829\) | 7.82814 | + | 17.5823i | 0.271882 | + | 0.610658i | 0.996952 | − | 0.0780177i | \(-0.0248591\pi\) |
−0.725069 | + | 0.688676i | \(0.758192\pi\) | |||||||
\(830\) | 1.55240 | + | 2.39049i | 0.0538846 | + | 0.0829751i | ||||
\(831\) | 2.74286 | − | 40.7853i | 0.0951487 | − | 1.41483i | ||||
\(832\) | 7.65149 | − | 141.521i | 0.265268 | − | 4.90636i | ||||
\(833\) | −24.0489 | − | 33.1005i | −0.833245 | − | 1.14686i | ||||
\(834\) | −1.20292 | + | 2.59771i | −0.0416537 | + | 0.0899512i | ||||
\(835\) | 6.14049 | − | 10.6356i | 0.212500 | − | 0.368062i | ||||
\(836\) | 34.1335 | + | 53.4061i | 1.18053 | + | 1.84709i | ||||
\(837\) | 4.01991 | + | 1.50636i | 0.138948 | + | 0.0520674i | ||||
\(838\) | −66.3147 | − | 43.0653i | −2.29080 | − | 1.48767i | ||||
\(839\) | −17.7737 | − | 46.3020i | −0.613615 | − | 1.59852i | −0.789254 | − | 0.614067i | \(-0.789533\pi\) |
0.175639 | − | 0.984455i | \(-0.443801\pi\) | |||||||
\(840\) | −0.0954786 | + | 0.418647i | −0.00329433 | + | 0.0144447i | ||||
\(841\) | 17.7886 | − | 19.7563i | 0.613401 | − | 0.681251i | ||||
\(842\) | 62.2966 | + | 13.2415i | 2.14688 | + | 0.456334i | ||||
\(843\) | −8.48165 | + | 9.14416i | −0.292124 | + | 0.314942i | ||||
\(844\) | −1.81347 | − | 2.49603i | −0.0624222 | − | 0.0859168i | ||||
\(845\) | 7.62447 | − | 0.374300i | 0.262290 | − | 0.0128763i | ||||
\(846\) | 0.196750 | + | 0.187985i | 0.00676442 | + | 0.00646305i | ||||
\(847\) | 0.438643 | + | 0.124390i | 0.0150720 | + | 0.00427410i | ||||
\(848\) | 112.133 | + | 64.7399i | 3.85065 | + | 2.22318i | ||||
\(849\) | 31.2026 | + | 5.41622i | 1.07087 | + | 0.185884i | ||||
\(850\) | 74.4766 | + | 11.7959i | 2.55453 | + | 0.404597i | ||||
\(851\) | 6.30350 | + | 7.78417i | 0.216081 | + | 0.266838i | ||||
\(852\) | 26.0726 | − | 76.3805i | 0.893233 | − | 2.61675i | ||||
\(853\) | 12.1198 | + | 6.17535i | 0.414975 | + | 0.211440i | 0.648997 | − | 0.760791i | \(-0.275189\pi\) |
−0.234022 | + | 0.972231i | \(0.575189\pi\) | |||||||
\(854\) | 1.31962 | + | 0.138698i | 0.0451565 | + | 0.00474614i | ||||
\(855\) | 3.62641 | − | 4.69290i | 0.124021 | − | 0.160494i | ||||
\(856\) | 139.920 | + | 7.33289i | 4.78236 | + | 0.250633i | ||||
\(857\) | 31.7893 | 1.08590 | 0.542951 | − | 0.839765i | \(-0.317307\pi\) | ||||
0.542951 | + | 0.839765i | \(0.317307\pi\) | |||||||
\(858\) | 13.5345 | + | 55.7671i | 0.462060 | + | 1.90386i | ||||
\(859\) | 28.3297 | 0.966598 | 0.483299 | − | 0.875455i | \(-0.339438\pi\) | ||||
0.483299 | + | 0.875455i | \(0.339438\pi\) | |||||||
\(860\) | −3.16896 | − | 0.166078i | −0.108061 | − | 0.00566321i | ||||
\(861\) | −0.199973 | + | 0.704464i | −0.00681506 | + | 0.0240081i | ||||
\(862\) | −71.2299 | − | 7.48656i | −2.42610 | − | 0.254993i | ||||
\(863\) | 42.3617 | + | 21.5844i | 1.44201 | + | 0.734740i | 0.987738 | − | 0.156123i | \(-0.0498998\pi\) |
0.454271 | + | 0.890864i | \(0.349900\pi\) | |||||||
\(864\) | −63.1660 | − | 121.559i | −2.14895 | − | 4.13554i | ||||
\(865\) | 7.36036 | + | 9.08929i | 0.250260 | + | 0.309045i | ||||
\(866\) | −22.7697 | − | 3.60637i | −0.773747 | − | 0.122550i | ||||
\(867\) | 5.08907 | − | 29.3179i | 0.172834 | − | 0.995688i | ||||
\(868\) | 0.168338 | + | 0.0971897i | 0.00571375 | + | 0.00329883i | ||||
\(869\) | −0.329221 | + | 45.3298i | −0.0111681 | + | 1.53771i | ||||
\(870\) | −1.62973 | + | 4.06486i | −0.0552530 | + | 0.137812i | ||||
\(871\) | −7.47773 | − | 13.0014i | −0.253373 | − | 0.440536i | ||||
\(872\) | −54.3944 | − | 74.8675i | −1.84203 | − | 2.53533i | ||||
\(873\) | −13.5716 | − | 28.7042i | −0.459329 | − | 0.971490i | ||||
\(874\) | 38.0831 | + | 8.09481i | 1.28818 | + | 0.273811i | ||||
\(875\) | −0.157245 | + | 0.174638i | −0.00531584 | + | 0.00590383i | ||||
\(876\) | 114.940 | + | 26.2139i | 3.88348 | + | 0.885685i | ||||
\(877\) | 14.0514 | + | 36.6052i | 0.474482 | + | 1.23607i | 0.936960 | + | 0.349437i | \(0.113627\pi\) |
−0.462477 | + | 0.886631i | \(0.653039\pi\) | |||||||
\(878\) | −35.2779 | − | 22.9097i | −1.19057 | − | 0.773166i | ||||
\(879\) | −21.1772 | + | 9.05581i | −0.714288 | + | 0.305445i | ||||
\(880\) | −30.5832 | − | 11.9954i | −1.03096 | − | 0.404363i | ||||
\(881\) | −23.9961 | + | 41.5624i | −0.808449 | + | 1.40027i | 0.105489 | + | 0.994420i | \(0.466359\pi\) |
−0.913938 | + | 0.405854i | \(0.866974\pi\) | |||||||
\(882\) | −42.3301 | + | 39.8971i | −1.42533 | + | 1.34340i | ||||
\(883\) | 11.4333 | + | 15.7366i | 0.384762 | + | 0.529579i | 0.956838 | − | 0.290621i | \(-0.0938620\pi\) |
−0.572076 | + | 0.820200i | \(0.693862\pi\) | |||||||
\(884\) | −100.242 | − | 65.3339i | −3.37150 | − | 2.19742i | ||||
\(885\) | −1.76069 | − | 0.118409i | −0.0591851 | − | 0.00398026i | ||||
\(886\) | 6.58006 | + | 10.1324i | 0.221061 | + | 0.340405i | ||||
\(887\) | −9.69869 | − | 21.7836i | −0.325650 | − | 0.731422i | 0.674325 | − | 0.738435i | \(-0.264435\pi\) |
−0.999975 | + | 0.00701207i | \(0.997768\pi\) | |||||||
\(888\) | −30.3760 | + | 29.4905i | −1.01935 | + | 0.989636i | ||||
\(889\) | −0.0543166 | + | 0.0276757i | −0.00182172 | + | 0.000928213i | ||||
\(890\) | −10.9575 | − | 2.93606i | −0.367297 | − | 0.0984171i | ||||
\(891\) | 20.8080 | + | 21.4016i | 0.697093 | + | 0.716981i | ||||
\(892\) | −93.5309 | + | 93.5309i | −3.13165 | + | 3.13165i | ||||
\(893\) | −0.0229161 | − | 0.107812i | −0.000766860 | − | 0.00360779i | ||||
\(894\) | −2.60475 | + | 9.17600i | −0.0871159 | + | 0.306891i | ||||
\(895\) | 0.732306 | − | 1.90772i | 0.0244783 | − | 0.0637681i | ||||
\(896\) | −0.719582 | − | 2.21465i | −0.0240395 | − | 0.0739861i | ||||
\(897\) | 22.3568 | + | 13.4026i | 0.746472 | + | 0.447501i | ||||
\(898\) | 6.97005 | + | 5.06404i | 0.232594 | + | 0.168989i | ||||
\(899\) | 0.997829 | + | 0.808026i | 0.0332794 | + | 0.0269492i | ||||
\(900\) | 2.34459 | − | 79.2388i | 0.0781530 | − | 2.64129i | ||||
\(901\) | 38.8640 | − | 22.4381i | 1.29475 | − | 0.747523i | ||||
\(902\) | −85.3489 | − | 38.7449i | −2.84181 | − | 1.29006i | ||||
\(903\) | 0.0546949 | + | 0.0409877i | 0.00182013 | + | 0.00136398i | ||||
\(904\) | −43.7416 | + | 67.3561i | −1.45482 | + | 2.24023i | ||||
\(905\) | 4.72601 | + | 0.748526i | 0.157098 | + | 0.0248819i | ||||
\(906\) | −8.50993 | + | 16.1082i | −0.282723 | + | 0.535159i | ||||
\(907\) | 2.24838 | − | 10.5778i | 0.0746563 | − | 0.351230i | −0.924925 | − | 0.380148i | \(-0.875873\pi\) |
0.999582 | + | 0.0289182i | \(0.00920622\pi\) | |||||||
\(908\) | −29.3889 | − | 45.2549i | −0.975304 | − | 1.50184i | ||||
\(909\) | −6.97579 | − | 38.3656i | −0.231372 | − | 1.27251i | ||||
\(910\) | 0.222281 | − | 0.0985257i | 0.00736854 | − | 0.00326609i | ||||
\(911\) | 18.7302 | + | 6.08581i | 0.620559 | + | 0.201632i | 0.602388 | − | 0.798203i | \(-0.294216\pi\) |
0.0181705 | + | 0.999835i | \(0.494216\pi\) | |||||||
\(912\) | −11.7274 | + | 97.6616i | −0.388333 | + | 3.23390i | ||||
\(913\) | 5.73236 | + | 0.950644i | 0.189714 | + | 0.0314617i | ||||
\(914\) | 37.3833 | + | 64.7498i | 1.23653 | + | 2.14173i | ||||
\(915\) | 11.7040 | − | 1.05538i | 0.386922 | − | 0.0348899i | ||||
\(916\) | 2.72677 | + | 7.10349i | 0.0900951 | + | 0.234706i | ||||
\(917\) | 0.247863 | − | 0.200715i | 0.00818515 | − | 0.00662820i | ||||
\(918\) | −84.0846 | − | 3.73332i | −2.77521 | − | 0.123218i | ||||
\(919\) | −32.9309 | + | 36.5735i | −1.08629 | + | 1.20645i | −0.109111 | + | 0.994030i | \(0.534800\pi\) |
−0.977179 | + | 0.212417i | \(0.931866\pi\) | |||||||
\(920\) | −22.8067 | + | 10.1542i | −0.751914 | + | 0.334774i | ||||
\(921\) | 17.9824 | − | 10.0305i | 0.592539 | − | 0.330516i | ||||
\(922\) | −24.4000 | − | 7.92803i | −0.803570 | − | 0.261096i | ||||
\(923\) | −28.1642 | + | 9.09963i | −0.927035 | + | 0.299518i | ||||
\(924\) | 0.770132 | + | 1.11070i | 0.0253355 | + | 0.0365394i | ||||
\(925\) | −10.7905 | + | 2.89131i | −0.354790 | + | 0.0950657i | ||||
\(926\) | −77.2393 | + | 69.5465i | −2.53824 | + | 2.28544i | ||||
\(927\) | −9.17785 | + | 3.76508i | −0.301440 | + | 0.123661i | ||||
\(928\) | −6.40960 | − | 40.4686i | −0.210405 | − | 1.32845i | ||||
\(929\) | 1.10148 | + | 21.0174i | 0.0361383 | + | 0.689559i | 0.955293 | + | 0.295662i | \(0.0955402\pi\) |
−0.919154 | + | 0.393897i | \(0.871127\pi\) | |||||||
\(930\) | 2.20323 | + | 0.752076i | 0.0722468 | + | 0.0246615i | ||||
\(931\) | 23.2709 | − | 3.68575i | 0.762673 | − | 0.120796i | ||||
\(932\) | −40.8323 | + | 91.7108i | −1.33751 | + | 3.00409i | ||||
\(933\) | −6.89838 | + | 2.53163i | −0.225843 | + | 0.0828819i | ||||
\(934\) | −9.75717 | − | 36.4143i | −0.319264 | − | 1.19151i | ||||
\(935\) | −8.90037 | + | 7.10097i | −0.291073 | + | 0.232227i | ||||
\(936\) | −47.9340 | + | 99.2023i | −1.56677 | + | 3.24253i | ||||
\(937\) | −3.08733 | + | 9.50184i | −0.100859 | + | 0.310412i | −0.988736 | − | 0.149669i | \(-0.952179\pi\) |
0.887877 | + | 0.460080i | \(0.152179\pi\) | |||||||
\(938\) | −0.371252 | − | 0.300634i | −0.0121218 | − | 0.00981605i | ||||
\(939\) | −1.17505 | − | 31.2618i | −0.0383463 | − | 1.02019i | ||||
\(940\) | 0.0810947 | + | 0.0730180i | 0.00264502 | + | 0.00238158i | ||||
\(941\) | −37.5369 | − | 19.1260i | −1.22367 | − | 0.623490i | −0.281801 | − | 0.959473i | \(-0.590932\pi\) |
−0.941868 | + | 0.335983i | \(0.890932\pi\) | |||||||
\(942\) | 2.82031 | − | 0.870474i | 0.0918906 | − | 0.0283616i | ||||
\(943\) | −39.7477 | + | 15.2577i | −1.29436 | + | 0.496860i | ||||
\(944\) | 26.0774 | − | 13.2871i | 0.848748 | − | 0.432459i | ||||
\(945\) | 0.0735171 | − | 0.102907i | 0.00239151 | − | 0.00334755i | ||||
\(946\) | −6.23080 | + | 6.14095i | −0.202581 | + | 0.199659i | ||||
\(947\) | 37.5847 | − | 10.0708i | 1.22134 | − | 0.327257i | 0.410138 | − | 0.912024i | \(-0.365481\pi\) |
0.811201 | + | 0.584767i | \(0.198814\pi\) | |||||||
\(948\) | −86.1022 | + | 103.169i | −2.79647 | + | 3.35079i | ||||
\(949\) | −17.5195 | − | 39.5253i | −0.568708 | − | 1.28304i | ||||
\(950\) | −25.5232 | + | 35.1297i | −0.828083 | + | 1.13976i | ||||
\(951\) | 10.4114 | + | 52.8107i | 0.337613 | + | 1.71250i | ||||
\(952\) | −2.41434 | − | 0.513184i | −0.0782492 | − | 0.0166324i | ||||
\(953\) | 3.17300 | − | 30.1891i | 0.102784 | − | 0.977920i | −0.814629 | − | 0.579982i | \(-0.803059\pi\) |
0.917413 | − | 0.397937i | \(-0.130274\pi\) | |||||||
\(954\) | −38.6675 | − | 50.7489i | −1.25191 | − | 1.64306i | ||||
\(955\) | 7.01998 | + | 4.55883i | 0.227161 | + | 0.147520i | ||||
\(956\) | 19.4297 | − | 72.5127i | 0.628402 | − | 2.34523i | ||||
\(957\) | 3.87674 | + | 8.04216i | 0.125317 | + | 0.259966i | ||||
\(958\) | −38.1223 | − | 66.0297i | −1.23167 | − | 2.13332i | ||||
\(959\) | −0.379966 | − | 0.421995i | −0.0122697 | − | 0.0136269i | ||||
\(960\) | −19.4753 | − | 34.9147i | −0.628562 | − | 1.12687i | ||||
\(961\) | −17.8202 | + | 24.5273i | −0.574844 | + | 0.791204i | ||||
\(962\) | 23.6710 | + | 3.78925i | 0.763182 | + | 0.122170i | ||||
\(963\) | −37.1863 | − | 17.8924i | −1.19831 | − | 0.576575i | ||||
\(964\) | −77.5710 | − | 29.7767i | −2.49839 | − | 0.959043i | ||||
\(965\) | 12.2921 | − | 1.29195i | 0.395698 | − | 0.0415895i | ||||
\(966\) | 0.818004 | + | 0.141991i | 0.0263188 | + | 0.00456848i | ||||
\(967\) | −29.6564 | − | 29.6564i | −0.953684 | − | 0.953684i | 0.0452895 | − | 0.998974i | \(-0.485579\pi\) |
−0.998974 | + | 0.0452895i | \(0.985579\pi\) | |||||||
\(968\) | −100.560 | + | 49.4113i | −3.23212 | + | 1.58814i | ||||
\(969\) | 27.2813 | + | 20.4443i | 0.876402 | + | 0.656764i | ||||
\(970\) | −7.81714 | − | 15.3420i | −0.250993 | − | 0.492602i | ||||
\(971\) | 20.3325 | − | 45.6675i | 0.652500 | − | 1.46554i | −0.219291 | − | 0.975660i | \(-0.570374\pi\) |
0.871790 | − | 0.489879i | \(-0.162959\pi\) | |||||||
\(972\) | 7.34724 | + | 88.1800i | 0.235663 | + | 2.82837i | ||||
\(973\) | 0.0207370 | − | 0.0134667i | 0.000664796 | − | 0.000431724i | ||||
\(974\) | 26.5211 | + | 81.6236i | 0.849791 | + | 2.61539i | ||||
\(975\) | −23.7973 | + | 16.6989i | −0.762122 | + | 0.534791i | ||||
\(976\) | −157.678 | + | 114.560i | −5.04715 | + | 3.66697i | ||||
\(977\) | 38.8854 | + | 2.03790i | 1.24406 | + | 0.0651982i | 0.662971 | − | 0.748645i | \(-0.269295\pi\) |
0.581084 | + | 0.813843i | \(0.302629\pi\) | |||||||
\(978\) | 60.5889 | − | 47.5976i | 1.93742 | − | 1.52200i | ||||
\(979\) | −19.4860 | + | 12.4541i | −0.622775 | + | 0.398034i | ||||
\(980\) | −16.4943 | + | 16.4943i | −0.526892 | + | 0.526892i | ||||
\(981\) | 6.27264 | + | 26.5244i | 0.200270 | + | 0.846860i | ||||
\(982\) | −40.3388 | + | 15.4846i | −1.28726 | + | 0.494134i | ||||
\(983\) | −0.563659 | − | 3.55881i | −0.0179779 | − | 0.113508i | 0.977067 | − | 0.212930i | \(-0.0683007\pi\) |
−0.995045 | + | 0.0994219i | \(0.968301\pi\) | |||||||
\(984\) | −79.3181 | − | 161.533i | −2.52857 | − | 5.14948i | ||||
\(985\) | −1.80940 | + | 8.51257i | −0.0576524 | + | 0.271233i | ||||
\(986\) | −23.5018 | − | 9.02149i | −0.748449 | − | 0.287303i | ||||
\(987\) | −0.000574677 | − | 0.00227903i | −1.82922e−5 | − | 7.25424e-5i | ||||
\(988\) | 59.7293 | − | 34.3531i | 1.90024 | − | 1.09292i | ||||
\(989\) | 3.97377i | 0.126358i | ||||||||
\(990\) | 11.6226 | + | 11.2674i | 0.369391 | + | 0.358102i | ||||
\(991\) | 6.50291 | − | 11.2634i | 0.206572 | − | 0.357793i | −0.744061 | − | 0.668112i | \(-0.767103\pi\) |
0.950632 | + | 0.310319i | \(0.100436\pi\) | |||||||
\(992\) | −21.3050 | + | 4.52852i | −0.676435 | + | 0.143781i | ||||
\(993\) | −22.8212 | + | 38.2109i | −0.724208 | + | 1.21259i | ||||
\(994\) | −0.732624 | + | 0.593267i | −0.0232374 | + | 0.0188173i | ||||
\(995\) | 4.52445 | − | 0.237116i | 0.143435 | − | 0.00751709i | ||||
\(996\) | 11.3352 | + | 12.9697i | 0.359169 | + | 0.410961i | ||||
\(997\) | 5.07121 | − | 48.2493i | 0.160607 | − | 1.52807i | −0.556346 | − | 0.830951i | \(-0.687797\pi\) |
0.716953 | − | 0.697121i | \(-0.245536\pi\) | |||||||
\(998\) | −0.00571199 | − | 0.0543460i | −0.000180810 | − | 0.00172029i | ||||
\(999\) | 11.6050 | − | 4.56147i | 0.367167 | − | 0.144319i |
(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 | 429.2.bv.a.20.1 | ✓ | 832 | |
3.2 | odd | 2 | inner | 429.2.bv.a.20.52 | yes | 832 | |
11.5 | even | 5 | inner | 429.2.bv.a.137.52 | yes | 832 | |
13.2 | odd | 12 | inner | 429.2.bv.a.119.1 | yes | 832 | |
33.5 | odd | 10 | inner | 429.2.bv.a.137.1 | yes | 832 | |
39.2 | even | 12 | inner | 429.2.bv.a.119.52 | yes | 832 | |
143.93 | odd | 60 | inner | 429.2.bv.a.236.52 | yes | 832 | |
429.236 | even | 60 | inner | 429.2.bv.a.236.1 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bv.a.20.1 | ✓ | 832 | 1.1 | even | 1 | trivial | |
429.2.bv.a.20.52 | yes | 832 | 3.2 | odd | 2 | inner | |
429.2.bv.a.119.1 | yes | 832 | 13.2 | odd | 12 | inner | |
429.2.bv.a.119.52 | yes | 832 | 39.2 | even | 12 | inner | |
429.2.bv.a.137.1 | yes | 832 | 33.5 | odd | 10 | inner | |
429.2.bv.a.137.52 | yes | 832 | 11.5 | even | 5 | inner | |
429.2.bv.a.236.1 | yes | 832 | 429.236 | even | 60 | inner | |
429.2.bv.a.236.52 | yes | 832 | 143.93 | odd | 60 | inner |