Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(11,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([24, 15, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bl (of order \(48\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 83.11 | ||
Character | \(\chi\) | \(=\) | 576.83 |
Dual form | 576.2.bl.a.347.11 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{7}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33110 | + | 0.477678i | −0.941229 | + | 0.337770i | ||||
\(3\) | 0.934604 | + | 1.45826i | 0.539594 | + | 0.841925i | ||||
\(4\) | 1.54365 | − | 1.27167i | 0.771823 | − | 0.635837i | ||||
\(5\) | 1.57302 | + | 1.79369i | 0.703478 | + | 0.802163i | 0.987661 | − | 0.156607i | \(-0.0500557\pi\) |
−0.284183 | + | 0.958770i | \(0.591722\pi\) | |||||||
\(6\) | −1.94063 | − | 1.49464i | −0.792258 | − | 0.610186i | ||||
\(7\) | −0.379595 | + | 2.88331i | −0.143473 | + | 1.08979i | 0.756547 | + | 0.653940i | \(0.226885\pi\) |
−0.900020 | + | 0.435849i | \(0.856448\pi\) | |||||||
\(8\) | −1.44729 | + | 2.43009i | −0.511696 | + | 0.859167i | ||||
\(9\) | −1.25303 | + | 2.72579i | −0.417677 | + | 0.908596i | ||||
\(10\) | −2.95066 | − | 1.63618i | −0.933080 | − | 0.517405i | ||||
\(11\) | 4.15967 | − | 2.05132i | 1.25419 | − | 0.618497i | 0.310891 | − | 0.950446i | \(-0.399373\pi\) |
0.943298 | + | 0.331948i | \(0.107706\pi\) | |||||||
\(12\) | 3.29713 | + | 1.06252i | 0.951799 | + | 0.306724i | ||||
\(13\) | −4.81605 | + | 1.63483i | −1.33573 | + | 0.453420i | −0.895738 | − | 0.444582i | \(-0.853352\pi\) |
−0.439993 | + | 0.898001i | \(0.645019\pi\) | |||||||
\(14\) | −0.872016 | − | 4.01929i | −0.233056 | − | 1.07420i | ||||
\(15\) | −1.14551 | + | 3.97026i | −0.295769 | + | 1.02512i | ||||
\(16\) | 0.765691 | − | 3.92603i | 0.191423 | − | 0.981508i | ||||
\(17\) | 0.291199 | − | 0.291199i | 0.0706261 | − | 0.0706261i | −0.670911 | − | 0.741538i | \(-0.734097\pi\) |
0.741538 | + | 0.670911i | \(0.234097\pi\) | |||||||
\(18\) | 0.365856 | − | 4.22684i | 0.0862332 | − | 0.996275i | ||||
\(19\) | −1.13368 | + | 5.69939i | −0.260084 | + | 1.30753i | 0.601075 | + | 0.799193i | \(0.294739\pi\) |
−0.861158 | + | 0.508337i | \(0.830261\pi\) | |||||||
\(20\) | 4.70918 | + | 0.768450i | 1.05301 | + | 0.171831i | ||||
\(21\) | −4.55938 | + | 2.14121i | −0.994938 | + | 0.467250i | ||||
\(22\) | −4.55706 | + | 4.71750i | −0.971569 | + | 1.00577i | ||||
\(23\) | −1.09286 | − | 8.30109i | −0.227877 | − | 1.73090i | −0.597635 | − | 0.801768i | \(-0.703893\pi\) |
0.369758 | − | 0.929128i | \(-0.379440\pi\) | |||||||
\(24\) | −4.89634 | + | 0.160644i | −0.999462 | + | 0.0327913i | ||||
\(25\) | −0.0902886 | + | 0.685810i | −0.0180577 | + | 0.137162i | ||||
\(26\) | 5.62971 | − | 4.47664i | 1.10408 | − | 0.877941i | ||||
\(27\) | −5.14599 | + | 0.720293i | −0.990346 | + | 0.138620i | ||||
\(28\) | 3.08067 | + | 4.93353i | 0.582192 | + | 0.932350i | ||||
\(29\) | 5.91340 | − | 0.387584i | 1.09809 | − | 0.0719726i | 0.494432 | − | 0.869216i | \(-0.335376\pi\) |
0.603658 | + | 0.797244i | \(0.293709\pi\) | |||||||
\(30\) | −0.371727 | − | 5.83200i | −0.0678677 | − | 1.06477i | ||||
\(31\) | −1.09637 | − | 1.89897i | −0.196914 | − | 0.341064i | 0.750613 | − | 0.660743i | \(-0.229758\pi\) |
−0.947526 | + | 0.319678i | \(0.896425\pi\) | |||||||
\(32\) | 0.856170 | + | 5.59169i | 0.151351 | + | 0.988480i | ||||
\(33\) | 6.87901 | + | 4.14870i | 1.19748 | + | 0.722196i | ||||
\(34\) | −0.248515 | + | 0.526714i | −0.0426200 | + | 0.0903307i | ||||
\(35\) | −5.76888 | + | 3.85464i | −0.975118 | + | 0.651553i | ||||
\(36\) | 1.53208 | + | 5.80110i | 0.255346 | + | 0.966850i | ||||
\(37\) | 7.87307 | − | 1.56605i | 1.29432 | − | 0.257457i | 0.500570 | − | 0.865696i | \(-0.333124\pi\) |
0.793754 | + | 0.608239i | \(0.208124\pi\) | |||||||
\(38\) | −1.21344 | − | 8.12798i | −0.196845 | − | 1.31853i | ||||
\(39\) | −6.88510 | − | 5.49512i | −1.10250 | − | 0.879923i | ||||
\(40\) | −6.63546 | + | 1.22659i | −1.04916 | + | 0.193941i | ||||
\(41\) | 8.57820 | − | 1.12934i | 1.33969 | − | 0.176374i | 0.573615 | − | 0.819125i | \(-0.305541\pi\) |
0.766075 | + | 0.642752i | \(0.222207\pi\) | |||||||
\(42\) | 5.04617 | − | 5.02807i | 0.778642 | − | 0.775849i | ||||
\(43\) | 0.566293 | − | 0.279265i | 0.0863588 | − | 0.0425874i | −0.398596 | − | 0.917126i | \(-0.630503\pi\) |
0.484955 | + | 0.874539i | \(0.338836\pi\) | |||||||
\(44\) | 3.81245 | − | 8.45627i | 0.574749 | − | 1.27483i | ||||
\(45\) | −6.86026 | + | 2.04018i | −1.02267 | + | 0.304132i | ||||
\(46\) | 5.41995 | + | 10.5275i | 0.799128 | + | 1.55220i | ||||
\(47\) | −12.3323 | + | 3.30442i | −1.79885 | + | 0.482000i | −0.993797 | − | 0.111208i | \(-0.964528\pi\) |
−0.805050 | + | 0.593207i | \(0.797861\pi\) | |||||||
\(48\) | 6.44078 | − | 2.55271i | 0.929647 | − | 0.368452i | ||||
\(49\) | −1.40790 | − | 0.377246i | −0.201129 | − | 0.0538923i | ||||
\(50\) | −0.207414 | − | 0.956009i | −0.0293327 | − | 0.135200i | ||||
\(51\) | 0.696799 | + | 0.152487i | 0.0975714 | + | 0.0213525i | ||||
\(52\) | −5.35531 | + | 8.64804i | −0.742648 | + | 1.19927i | ||||
\(53\) | −5.24476 | + | 7.84934i | −0.720424 | + | 1.07819i | 0.272811 | + | 0.962068i | \(0.412047\pi\) |
−0.993235 | + | 0.116123i | \(0.962953\pi\) | |||||||
\(54\) | 6.50575 | − | 3.41691i | 0.885320 | − | 0.464982i | ||||
\(55\) | 10.2227 | + | 4.23438i | 1.37843 | + | 0.570964i | ||||
\(56\) | −6.45732 | − | 5.09545i | −0.862895 | − | 0.680908i | ||||
\(57\) | −9.37072 | + | 3.67348i | −1.24118 | + | 0.486564i | ||||
\(58\) | −7.68617 | + | 3.34061i | −1.00924 | + | 0.438644i | ||||
\(59\) | 5.10921 | − | 4.48066i | 0.665162 | − | 0.583332i | −0.258746 | − | 0.965945i | \(-0.583309\pi\) |
0.923908 | + | 0.382614i | \(0.124976\pi\) | |||||||
\(60\) | 3.28062 | + | 7.58540i | 0.423527 | + | 0.979270i | ||||
\(61\) | −8.57651 | + | 0.562134i | −1.09811 | + | 0.0719739i | −0.603667 | − | 0.797237i | \(-0.706294\pi\) |
−0.494442 | + | 0.869211i | \(0.664628\pi\) | |||||||
\(62\) | 2.36647 | + | 2.00400i | 0.300542 | + | 0.254508i | ||||
\(63\) | −7.38364 | − | 4.64757i | −0.930252 | − | 0.585538i | ||||
\(64\) | −3.81068 | − | 7.03411i | −0.476334 | − | 0.879264i | ||||
\(65\) | −10.5081 | − | 6.06687i | −1.30337 | − | 0.752503i | ||||
\(66\) | −11.1384 | − | 2.23637i | −1.37104 | − | 0.275279i | ||||
\(67\) | −8.63986 | − | 4.26071i | −1.05553 | − | 0.520528i | −0.170158 | − | 0.985417i | \(-0.554428\pi\) |
−0.885369 | + | 0.464889i | \(0.846094\pi\) | |||||||
\(68\) | 0.0791982 | − | 0.819819i | 0.00960419 | − | 0.0994176i | ||||
\(69\) | 11.0837 | − | 9.35190i | 1.33432 | − | 1.12584i | ||||
\(70\) | 5.83766 | − | 7.88657i | 0.697734 | − | 0.942626i | ||||
\(71\) | 1.92635 | + | 4.65062i | 0.228615 | + | 0.551926i | 0.996009 | − | 0.0892495i | \(-0.0284469\pi\) |
−0.767394 | + | 0.641176i | \(0.778447\pi\) | |||||||
\(72\) | −4.81041 | − | 6.98999i | −0.566912 | − | 0.823779i | ||||
\(73\) | −2.14885 | + | 5.18777i | −0.251503 | + | 0.607183i | −0.998326 | − | 0.0578405i | \(-0.981579\pi\) |
0.746822 | + | 0.665024i | \(0.231579\pi\) | |||||||
\(74\) | −9.73176 | + | 5.84536i | −1.13129 | + | 0.679509i | ||||
\(75\) | −1.08447 | + | 0.509297i | −0.125224 | + | 0.0588085i | ||||
\(76\) | 5.49776 | + | 10.2395i | 0.630637 | + | 1.17455i | ||||
\(77\) | 4.33561 | + | 12.7723i | 0.494089 | + | 1.45554i | ||||
\(78\) | 11.7896 | + | 4.02568i | 1.33491 | + | 0.455819i | ||||
\(79\) | −6.60645 | + | 1.77019i | −0.743283 | + | 0.199162i | −0.610537 | − | 0.791988i | \(-0.709046\pi\) |
−0.132746 | + | 0.991150i | \(0.542380\pi\) | |||||||
\(80\) | 8.24653 | − | 4.80233i | 0.921990 | − | 0.536917i | ||||
\(81\) | −5.85983 | − | 6.83098i | −0.651093 | − | 0.758998i | ||||
\(82\) | −10.8790 | + | 5.60089i | −1.20138 | + | 0.618514i | ||||
\(83\) | 7.35606 | − | 8.38798i | 0.807432 | − | 0.920700i | −0.190709 | − | 0.981647i | \(-0.561079\pi\) |
0.998141 | + | 0.0609465i | \(0.0194119\pi\) | |||||||
\(84\) | −4.31515 | + | 9.10331i | −0.470822 | + | 0.993252i | ||||
\(85\) | 0.980384 | + | 0.0642577i | 0.106338 | + | 0.00696973i | ||||
\(86\) | −0.620393 | + | 0.642234i | −0.0668986 | + | 0.0692539i | ||||
\(87\) | 6.09188 | + | 8.26102i | 0.653118 | + | 0.885674i | ||||
\(88\) | −1.03537 | + | 13.0773i | −0.110371 | + | 1.39404i | ||||
\(89\) | 3.09356 | + | 7.46852i | 0.327917 | + | 0.791661i | 0.998747 | + | 0.0500500i | \(0.0159381\pi\) |
−0.670830 | + | 0.741611i | \(0.734062\pi\) | |||||||
\(90\) | 8.15714 | − | 5.99268i | 0.859838 | − | 0.631684i | ||||
\(91\) | −2.88557 | − | 14.5067i | −0.302490 | − | 1.52072i | ||||
\(92\) | −12.2433 | − | 11.4242i | −1.27645 | − | 1.19105i | ||||
\(93\) | 1.74451 | − | 3.37357i | 0.180897 | − | 0.349823i | ||||
\(94\) | 14.8370 | − | 10.2894i | 1.53032 | − | 1.06127i | ||||
\(95\) | −12.0062 | + | 6.93181i | −1.23181 | + | 0.711188i | ||||
\(96\) | −7.35394 | + | 6.47453i | −0.750558 | + | 0.660804i | ||||
\(97\) | 12.4101 | + | 7.16499i | 1.26006 | + | 0.727495i | 0.973085 | − | 0.230444i | \(-0.0740180\pi\) |
0.286972 | + | 0.957939i | \(0.407351\pi\) | |||||||
\(98\) | 2.05426 | − | 0.170372i | 0.207511 | − | 0.0172102i | ||||
\(99\) | 0.379278 | + | 13.9088i | 0.0381189 | + | 1.39788i | ||||
\(100\) | 0.732753 | + | 1.17347i | 0.0732753 | + | 0.117347i | ||||
\(101\) | 10.6604 | + | 3.61872i | 1.06075 | + | 0.360076i | 0.796664 | − | 0.604423i | \(-0.206596\pi\) |
0.264087 | + | 0.964499i | \(0.414929\pi\) | |||||||
\(102\) | −1.00035 | + | 0.129870i | −0.0990492 | + | 0.0128591i | ||||
\(103\) | 2.02016 | − | 2.63273i | 0.199053 | − | 0.259410i | −0.683152 | − | 0.730276i | \(-0.739392\pi\) |
0.882205 | + | 0.470865i | \(0.156058\pi\) | |||||||
\(104\) | 2.99746 | − | 14.0695i | 0.293925 | − | 1.37963i | ||||
\(105\) | −11.0127 | − | 4.80994i | −1.07473 | − | 0.469402i | ||||
\(106\) | 3.23184 | − | 12.9536i | 0.313904 | − | 1.25816i | ||||
\(107\) | 0.271524 | − | 0.406365i | 0.0262493 | − | 0.0392848i | −0.818113 | − | 0.575058i | \(-0.804980\pi\) |
0.844362 | + | 0.535773i | \(0.179980\pi\) | |||||||
\(108\) | −7.02761 | + | 7.65589i | −0.676232 | + | 0.736689i | ||||
\(109\) | 13.4513 | + | 2.67563i | 1.28840 | + | 0.256279i | 0.791308 | − | 0.611418i | \(-0.209401\pi\) |
0.497093 | + | 0.867697i | \(0.334401\pi\) | |||||||
\(110\) | −15.6301 | − | 0.753216i | −1.49027 | − | 0.0718163i | ||||
\(111\) | 9.64191 | + | 10.0173i | 0.915169 | + | 0.950802i | ||||
\(112\) | 11.0293 | + | 3.69802i | 1.04217 | + | 0.349430i | ||||
\(113\) | 0.402951 | − | 1.50383i | 0.0379064 | − | 0.141469i | −0.944379 | − | 0.328859i | \(-0.893336\pi\) |
0.982286 | + | 0.187390i | \(0.0600027\pi\) | |||||||
\(114\) | 10.7186 | − | 9.36595i | 1.00389 | − | 0.877201i | ||||
\(115\) | 13.1705 | − | 15.0181i | 1.22815 | − | 1.40044i | ||||
\(116\) | 8.63531 | − | 8.11821i | 0.801769 | − | 0.753756i | ||||
\(117\) | 1.57846 | − | 15.1760i | 0.145928 | − | 1.40302i | ||||
\(118\) | −4.66055 | + | 8.40475i | −0.429038 | + | 0.773720i | ||||
\(119\) | 0.729079 | + | 0.950154i | 0.0668346 | + | 0.0871005i | ||||
\(120\) | −7.99021 | − | 8.52983i | −0.729403 | − | 0.778663i | ||||
\(121\) | 6.39857 | − | 8.33879i | 0.581689 | − | 0.758071i | ||||
\(122\) | 11.1477 | − | 4.84507i | 1.00926 | − | 0.438652i | ||||
\(123\) | 9.66409 | + | 11.4537i | 0.871382 | + | 1.03275i | ||||
\(124\) | −4.10727 | − | 1.53711i | −0.368844 | − | 0.138036i | ||||
\(125\) | 8.54617 | − | 5.71037i | 0.764393 | − | 0.510751i | ||||
\(126\) | 12.0484 | + | 2.65936i | 1.07336 | + | 0.236915i | ||||
\(127\) | 12.4458i | 1.10439i | 0.833716 | + | 0.552193i | \(0.186209\pi\) | ||||
−0.833716 | + | 0.552193i | \(0.813791\pi\) | |||||||
\(128\) | 8.43243 | + | 7.54282i | 0.745328 | + | 0.666698i | ||||
\(129\) | 0.936499 | + | 0.564798i | 0.0824541 | + | 0.0497277i | ||||
\(130\) | 16.8854 | + | 3.05610i | 1.48095 | + | 0.268038i | ||||
\(131\) | 6.95671 | − | 14.1068i | 0.607811 | − | 1.23252i | −0.347712 | − | 0.937601i | \(-0.613041\pi\) |
0.955523 | − | 0.294917i | \(-0.0952920\pi\) | |||||||
\(132\) | 15.8945 | − | 2.34373i | 1.38344 | − | 0.203995i | ||||
\(133\) | −16.0028 | − | 5.43221i | −1.38762 | − | 0.471032i | ||||
\(134\) | 13.5358 | + | 1.54435i | 1.16931 | + | 0.133411i | ||||
\(135\) | −9.38674 | − | 8.09727i | −0.807882 | − | 0.696902i | ||||
\(136\) | 0.286189 | + | 1.12909i | 0.0245405 | + | 0.0968187i | ||||
\(137\) | 6.30930 | − | 4.84130i | 0.539040 | − | 0.413620i | −0.303036 | − | 0.952979i | \(-0.598000\pi\) |
0.842076 | + | 0.539359i | \(0.181333\pi\) | |||||||
\(138\) | −10.2863 | + | 17.7428i | −0.875631 | + | 1.51036i | ||||
\(139\) | 5.19350 | + | 0.340400i | 0.440507 | + | 0.0288723i | 0.284043 | − | 0.958811i | \(-0.408324\pi\) |
0.156463 | + | 0.987684i | \(0.449991\pi\) | |||||||
\(140\) | −4.00326 | + | 13.2863i | −0.338337 | + | 1.12290i | ||||
\(141\) | −16.3445 | − | 14.8953i | −1.37645 | − | 1.25441i | ||||
\(142\) | −4.78566 | − | 5.27025i | −0.401603 | − | 0.442270i | ||||
\(143\) | −16.6796 | + | 16.6796i | −1.39482 | + | 1.39482i | ||||
\(144\) | 9.74209 | + | 7.00654i | 0.811841 | + | 0.583879i | ||||
\(145\) | 9.99712 | + | 9.99712i | 0.830216 | + | 0.830216i | ||||
\(146\) | 0.382239 | − | 7.93190i | 0.0316343 | − | 0.656448i | ||||
\(147\) | −0.765708 | − | 2.40566i | −0.0631546 | − | 0.198415i | ||||
\(148\) | 10.1617 | − | 12.4294i | 0.835289 | − | 1.02169i | ||||
\(149\) | 0.127983 | − | 1.95264i | 0.0104847 | − | 0.159966i | −0.989406 | − | 0.145176i | \(-0.953625\pi\) |
0.999891 | − | 0.0147904i | \(-0.00470811\pi\) | |||||||
\(150\) | 1.20026 | − | 1.19595i | 0.0980007 | − | 0.0976491i | ||||
\(151\) | −5.20507 | − | 6.78338i | −0.423583 | − | 0.552024i | 0.532001 | − | 0.846744i | \(-0.321440\pi\) |
−0.955584 | + | 0.294720i | \(0.904774\pi\) | |||||||
\(152\) | −12.2093 | − | 11.0036i | −0.990302 | − | 0.892513i | ||||
\(153\) | 0.428866 | + | 1.15863i | 0.0346717 | + | 0.0936695i | ||||
\(154\) | −11.8722 | − | 14.9302i | −0.956687 | − | 1.20311i | ||||
\(155\) | 1.68154 | − | 4.95366i | 0.135065 | − | 0.397888i | ||||
\(156\) | −17.6162 | + | 0.273076i | −1.41042 | + | 0.0218636i | ||||
\(157\) | −7.14935 | − | 3.52567i | −0.570580 | − | 0.281379i | 0.134026 | − | 0.990978i | \(-0.457210\pi\) |
−0.704606 | + | 0.709599i | \(0.748876\pi\) | |||||||
\(158\) | 7.94825 | − | 5.51206i | 0.632329 | − | 0.438516i | ||||
\(159\) | −16.3481 | − | 0.312186i | −1.29649 | − | 0.0247579i | ||||
\(160\) | −8.68298 | + | 10.3316i | −0.686450 | + | 0.816782i | ||||
\(161\) | 24.3494 | 1.91900 | ||||||||
\(162\) | 11.0630 | + | 6.29360i | 0.869194 | + | 0.494472i | ||||
\(163\) | 1.21771 | + | 1.82243i | 0.0953784 | + | 0.142744i | 0.876090 | − | 0.482148i | \(-0.160143\pi\) |
−0.780712 | + | 0.624892i | \(0.785143\pi\) | |||||||
\(164\) | 11.8056 | − | 12.6520i | 0.921859 | − | 0.987954i | ||||
\(165\) | 3.37936 | + | 18.8648i | 0.263083 | + | 1.46862i | ||||
\(166\) | −5.78488 | + | 14.6791i | −0.448994 | + | 1.13932i | ||||
\(167\) | 3.23549 | + | 2.48268i | 0.250370 | + | 0.192116i | 0.726320 | − | 0.687357i | \(-0.241229\pi\) |
−0.475950 | + | 0.879472i | \(0.657896\pi\) | |||||||
\(168\) | 1.39544 | − | 14.1787i | 0.107661 | − | 1.09391i | ||||
\(169\) | 10.2081 | − | 7.83292i | 0.785235 | − | 0.602532i | ||||
\(170\) | −1.33568 | + | 0.382775i | −0.102442 | + | 0.0293575i | ||||
\(171\) | −14.1148 | − | 10.2317i | −1.07938 | − | 0.782435i | ||||
\(172\) | 0.519022 | − | 1.15123i | 0.0395751 | − | 0.0877801i | ||||
\(173\) | −3.22674 | − | 2.82977i | −0.245324 | − | 0.215144i | 0.527849 | − | 0.849338i | \(-0.322999\pi\) |
−0.773174 | + | 0.634194i | \(0.781332\pi\) | |||||||
\(174\) | −12.0550 | − | 8.08627i | −0.913888 | − | 0.613018i | ||||
\(175\) | −1.94313 | − | 0.520660i | −0.146887 | − | 0.0393582i | ||||
\(176\) | −4.86854 | − | 17.9017i | −0.366980 | − | 1.34939i | ||||
\(177\) | 11.3090 | + | 3.26290i | 0.850039 | + | 0.245255i | ||||
\(178\) | −7.68538 | − | 8.46361i | −0.576044 | − | 0.634374i | ||||
\(179\) | 0.293958 | − | 1.47783i | 0.0219715 | − | 0.110458i | −0.968243 | − | 0.250010i | \(-0.919566\pi\) |
0.990215 | + | 0.139552i | \(0.0445661\pi\) | |||||||
\(180\) | −7.99538 | + | 11.8733i | −0.595940 | + | 0.884986i | ||||
\(181\) | 0.102733 | + | 0.0686443i | 0.00763612 | + | 0.00510229i | 0.559382 | − | 0.828910i | \(-0.311038\pi\) |
−0.551746 | + | 0.834012i | \(0.686038\pi\) | |||||||
\(182\) | 10.7705 | + | 17.9315i | 0.798364 | + | 1.32917i | ||||
\(183\) | −8.83537 | − | 11.9814i | −0.653130 | − | 0.885689i | ||||
\(184\) | 21.7541 | + | 9.35837i | 1.60373 | + | 0.689908i | ||||
\(185\) | 15.1935 | + | 11.6584i | 1.11705 | + | 0.857143i | ||||
\(186\) | −0.710634 | + | 5.32387i | −0.0521062 | + | 0.390365i | ||||
\(187\) | 0.613949 | − | 1.80864i | 0.0448964 | − | 0.132261i | ||||
\(188\) | −14.8345 | + | 20.7835i | −1.08192 | + | 1.51579i | ||||
\(189\) | −0.123436 | − | 15.1109i | −0.00897866 | − | 1.09916i | ||||
\(190\) | 12.6703 | − | 14.9620i | 0.919201 | − | 1.08546i | ||||
\(191\) | −0.492101 | + | 0.852344i | −0.0356072 | + | 0.0616735i | −0.883280 | − | 0.468846i | \(-0.844670\pi\) |
0.847673 | + | 0.530520i | \(0.178003\pi\) | |||||||
\(192\) | 6.69608 | − | 12.1311i | 0.483248 | − | 0.875484i | ||||
\(193\) | −2.86907 | − | 4.96937i | −0.206520 | − | 0.357703i | 0.744096 | − | 0.668073i | \(-0.232881\pi\) |
−0.950616 | + | 0.310369i | \(0.899547\pi\) | |||||||
\(194\) | −19.9417 | − | 3.60926i | −1.43173 | − | 0.259130i | ||||
\(195\) | −0.973882 | − | 20.9937i | −0.0697412 | − | 1.50339i | ||||
\(196\) | −2.65303 | + | 1.20806i | −0.189502 | + | 0.0862897i | ||||
\(197\) | −2.71079 | + | 0.539210i | −0.193136 | + | 0.0384171i | −0.290710 | − | 0.956811i | \(-0.593892\pi\) |
0.0975745 | + | 0.995228i | \(0.468892\pi\) | |||||||
\(198\) | −7.14877 | − | 18.3327i | −0.508041 | − | 1.30285i | ||||
\(199\) | 10.2768 | − | 4.25681i | 0.728506 | − | 0.301757i | 0.0125681 | − | 0.999921i | \(-0.495999\pi\) |
0.715938 | + | 0.698164i | \(0.245999\pi\) | |||||||
\(200\) | −1.53591 | − | 1.21198i | −0.108605 | − | 0.0856998i | ||||
\(201\) | −1.86164 | − | 16.5812i | −0.131310 | − | 1.16955i | ||||
\(202\) | −15.9186 | + | 0.275372i | −1.12003 | + | 0.0193751i | ||||
\(203\) | −1.12717 | + | 17.1973i | −0.0791118 | + | 1.20701i | ||||
\(204\) | 1.26953 | − | 0.650715i | 0.0888846 | − | 0.0455591i | ||||
\(205\) | 15.5194 | + | 13.6102i | 1.08392 | + | 0.950574i | ||||
\(206\) | −1.43144 | + | 4.46941i | −0.0997331 | + | 0.311399i | ||||
\(207\) | 23.9964 | + | 7.42261i | 1.66786 | + | 0.515907i | ||||
\(208\) | 2.73078 | + | 20.1597i | 0.189346 | + | 1.39783i | ||||
\(209\) | 6.97556 | + | 26.0331i | 0.482509 | + | 1.80075i | ||||
\(210\) | 16.9566 | + | 1.14199i | 1.17011 | + | 0.0788050i | ||||
\(211\) | −4.60044 | + | 1.56164i | −0.316707 | + | 0.107508i | −0.475267 | − | 0.879842i | \(-0.657648\pi\) |
0.158559 | + | 0.987349i | \(0.449315\pi\) | |||||||
\(212\) | 1.88574 | + | 18.7862i | 0.129513 | + | 1.29024i | ||||
\(213\) | −4.98142 | + | 7.15560i | −0.341321 | + | 0.490293i | ||||
\(214\) | −0.167314 | + | 0.670613i | −0.0114374 | + | 0.0458422i | ||||
\(215\) | 1.39171 | + | 0.576463i | 0.0949135 | + | 0.0393145i | ||||
\(216\) | 5.69738 | − | 13.5477i | 0.387658 | − | 0.921803i | ||||
\(217\) | 5.89148 | − | 2.44033i | 0.399940 | − | 0.165660i | ||||
\(218\) | −19.1831 | + | 2.86387i | −1.29924 | + | 0.193966i | ||||
\(219\) | −9.57343 | + | 1.71494i | −0.646913 | + | 0.115885i | ||||
\(220\) | 21.1650 | − | 6.46356i | 1.42694 | − | 0.435773i | ||||
\(221\) | −0.926368 | + | 1.87849i | −0.0623142 | + | 0.126361i | ||||
\(222\) | −17.6194 | − | 8.72831i | −1.18254 | − | 0.585806i | ||||
\(223\) | 9.46953 | − | 16.4017i | 0.634126 | − | 1.09834i | −0.352573 | − | 0.935784i | \(-0.614693\pi\) |
0.986700 | − | 0.162555i | \(-0.0519734\pi\) | |||||||
\(224\) | −16.4476 | + | 0.346028i | −1.09895 | + | 0.0231199i | ||||
\(225\) | −1.75624 | − | 1.10545i | −0.117082 | − | 0.0736965i | ||||
\(226\) | 0.181981 | + | 2.19423i | 0.0121052 | + | 0.145958i | ||||
\(227\) | 0.365334 | + | 5.57391i | 0.0242480 | + | 0.369954i | 0.992688 | + | 0.120707i | \(0.0385162\pi\) |
−0.968440 | + | 0.249246i | \(0.919817\pi\) | |||||||
\(228\) | −9.79361 | + | 17.5870i | −0.648598 | + | 1.16473i | ||||
\(229\) | 6.69237 | + | 7.63118i | 0.442244 | + | 0.504283i | 0.929421 | − | 0.369020i | \(-0.120307\pi\) |
−0.487177 | + | 0.873303i | \(0.661973\pi\) | |||||||
\(230\) | −10.3574 | + | 26.2818i | −0.682947 | + | 1.73297i | ||||
\(231\) | −14.5732 | + | 18.2595i | −0.958847 | + | 1.20139i | ||||
\(232\) | −7.61656 | + | 14.9310i | −0.500052 | + | 0.980270i | ||||
\(233\) | 2.49185 | − | 6.01586i | 0.163246 | − | 0.394112i | −0.820996 | − | 0.570933i | \(-0.806582\pi\) |
0.984243 | + | 0.176821i | \(0.0565815\pi\) | |||||||
\(234\) | 5.14817 | + | 20.9548i | 0.336546 | + | 1.36986i | ||||
\(235\) | −25.3261 | − | 16.9223i | −1.65209 | − | 1.10389i | ||||
\(236\) | 2.18888 | − | 13.4138i | 0.142484 | − | 0.873164i | ||||
\(237\) | −8.75581 | − | 7.97947i | −0.568751 | − | 0.518322i | ||||
\(238\) | −1.42434 | − | 0.916484i | −0.0923265 | − | 0.0594068i | ||||
\(239\) | −4.82455 | + | 18.0054i | −0.312074 | + | 1.16468i | 0.614609 | + | 0.788832i | \(0.289314\pi\) |
−0.926683 | + | 0.375844i | \(0.877353\pi\) | |||||||
\(240\) | 14.7103 | + | 7.53729i | 0.949544 | + | 0.486530i | ||||
\(241\) | 3.05759 | + | 11.4111i | 0.196957 | + | 0.735052i | 0.991752 | + | 0.128174i | \(0.0409116\pi\) |
−0.794795 | + | 0.606878i | \(0.792422\pi\) | |||||||
\(242\) | −4.53388 | + | 14.1562i | −0.291449 | + | 0.909995i | ||||
\(243\) | 4.48471 | − | 14.9294i | 0.287694 | − | 0.957722i | ||||
\(244\) | −12.5242 | + | 11.7743i | −0.801783 | + | 0.753769i | ||||
\(245\) | −1.53800 | − | 3.11875i | −0.0982592 | − | 0.199250i | ||||
\(246\) | −18.3351 | − | 10.6297i | −1.16900 | − | 0.677726i | ||||
\(247\) | −3.85767 | − | 29.3019i | −0.245457 | − | 1.86443i | ||||
\(248\) | 6.20143 | + | 0.0840894i | 0.393791 | + | 0.00533968i | ||||
\(249\) | 19.1068 | + | 2.88759i | 1.21085 | + | 0.182993i | ||||
\(250\) | −8.64808 | + | 11.6834i | −0.546952 | + | 0.738922i | ||||
\(251\) | −3.75900 | − | 18.8978i | −0.237266 | − | 1.19282i | −0.897245 | − | 0.441533i | \(-0.854435\pi\) |
0.659979 | − | 0.751284i | \(-0.270565\pi\) | |||||||
\(252\) | −17.3079 | + | 2.21539i | −1.09030 | + | 0.139556i | ||||
\(253\) | −21.5741 | − | 32.2880i | −1.35636 | − | 2.02993i | ||||
\(254\) | −5.94509 | − | 16.5666i | −0.373028 | − | 1.03948i | ||||
\(255\) | 0.822566 | + | 1.48971i | 0.0515111 | + | 0.0932891i | ||||
\(256\) | −14.8274 | − | 6.01225i | −0.926715 | − | 0.375766i | ||||
\(257\) | 24.5602 | − | 14.1799i | 1.53202 | − | 0.884515i | 0.532757 | − | 0.846269i | \(-0.321156\pi\) |
0.999268 | − | 0.0382465i | \(-0.0121772\pi\) | |||||||
\(258\) | −1.51636 | − | 0.304457i | −0.0944047 | − | 0.0189547i | ||||
\(259\) | 1.52683 | + | 23.2950i | 0.0948727 | + | 1.44748i | ||||
\(260\) | −23.9359 | + | 3.99781i | −1.48444 | + | 0.247934i | ||||
\(261\) | −6.35319 | + | 16.6043i | −0.393252 | + | 1.02778i | ||||
\(262\) | −2.52155 | + | 22.1006i | −0.155782 | + | 1.36538i | ||||
\(263\) | 10.5191 | + | 1.38486i | 0.648633 | + | 0.0853942i | 0.447662 | − | 0.894203i | \(-0.352257\pi\) |
0.200971 | + | 0.979597i | \(0.435590\pi\) | |||||||
\(264\) | −20.0377 | + | 10.7122i | −1.23323 | + | 0.659291i | ||||
\(265\) | −22.3294 | + | 2.93973i | −1.37169 | + | 0.180586i | ||||
\(266\) | 23.8961 | − | 0.413372i | 1.46516 | − | 0.0253455i | ||||
\(267\) | −7.99977 | + | 11.4913i | −0.489578 | + | 0.703257i | ||||
\(268\) | −18.7551 | + | 4.41006i | −1.14565 | + | 0.269387i | ||||
\(269\) | −2.93284 | − | 0.583379i | −0.178819 | − | 0.0355692i | 0.104869 | − | 0.994486i | \(-0.466558\pi\) |
−0.283687 | + | 0.958917i | \(0.591558\pi\) | |||||||
\(270\) | 16.3626 | + | 6.29442i | 0.995794 | + | 0.383066i | ||||
\(271\) | −5.44701 | − | 5.44701i | −0.330882 | − | 0.330882i | 0.522039 | − | 0.852922i | \(-0.325171\pi\) |
−0.852922 | + | 0.522039i | \(0.825171\pi\) | |||||||
\(272\) | −0.920288 | − | 1.36622i | −0.0558006 | − | 0.0828395i | ||||
\(273\) | 18.4577 | − | 17.7659i | 1.11711 | − | 1.07524i | ||||
\(274\) | −6.08572 | + | 9.45806i | −0.367652 | + | 0.571383i | ||||
\(275\) | 1.03125 | + | 3.03796i | 0.0621865 | + | 0.183196i | ||||
\(276\) | 5.21680 | − | 28.5309i | 0.314014 | − | 1.71736i | ||||
\(277\) | −7.64004 | − | 15.4925i | −0.459045 | − | 0.930852i | −0.996177 | − | 0.0873537i | \(-0.972159\pi\) |
0.537132 | − | 0.843498i | \(-0.319508\pi\) | |||||||
\(278\) | −7.07566 | + | 2.02772i | −0.424370 | + | 0.121614i | ||||
\(279\) | 6.54996 | − | 0.609006i | 0.392136 | − | 0.0364603i | ||||
\(280\) | −1.01786 | − | 19.5977i | −0.0608286 | − | 1.17119i | ||||
\(281\) | −22.9561 | − | 3.02223i | −1.36945 | − | 0.180291i | −0.590325 | − | 0.807165i | \(-0.701001\pi\) |
−0.779120 | + | 0.626874i | \(0.784334\pi\) | |||||||
\(282\) | 28.8713 | + | 12.0197i | 1.71926 | + | 0.715763i | ||||
\(283\) | 15.7286 | − | 13.7936i | 0.934970 | − | 0.819946i | −0.0489054 | − | 0.998803i | \(-0.515573\pi\) |
0.983875 | + | 0.178857i | \(0.0572400\pi\) | |||||||
\(284\) | 8.88767 | + | 4.72922i | 0.527386 | + | 0.280628i | ||||
\(285\) | −21.3294 | − | 11.0297i | −1.26345 | − | 0.653343i | ||||
\(286\) | 14.2347 | − | 30.1697i | 0.841717 | − | 1.78397i | ||||
\(287\) | 25.1623i | 1.48528i | ||||||||
\(288\) | −16.3146 | − | 4.67281i | −0.961345 | − | 0.275348i | ||||
\(289\) | 16.8304i | 0.990024i | ||||||||
\(290\) | −18.0826 | − | 8.53174i | −1.06184 | − | 0.501001i | ||||
\(291\) | 1.15016 | + | 24.7936i | 0.0674234 | + | 1.45343i | ||||
\(292\) | 3.28010 | + | 10.7407i | 0.191953 | + | 0.628553i | ||||
\(293\) | 6.94176 | − | 6.08776i | 0.405542 | − | 0.355651i | −0.432142 | − | 0.901805i | \(-0.642242\pi\) |
0.837684 | + | 0.546155i | \(0.183909\pi\) | |||||||
\(294\) | 2.16836 | + | 2.83640i | 0.126462 | + | 0.165422i | ||||
\(295\) | 16.0738 | + | 2.11616i | 0.935854 | + | 0.123207i | ||||
\(296\) | −7.58901 | + | 21.3988i | −0.441102 | + | 1.24378i | ||||
\(297\) | −19.9281 | + | 13.5523i | −1.15634 | + | 0.786382i | ||||
\(298\) | 0.762375 | + | 2.66029i | 0.0441632 | + | 0.154106i | ||||
\(299\) | 18.8341 | + | 38.1918i | 1.08920 | + | 2.20869i | ||||
\(300\) | −1.02638 | + | 2.16527i | −0.0592582 | + | 0.125012i | ||||
\(301\) | 0.590244 | + | 1.73880i | 0.0340211 | + | 0.100223i | ||||
\(302\) | 10.1687 | + | 6.54300i | 0.585145 | + | 0.376507i | ||||
\(303\) | 4.68624 | + | 18.9277i | 0.269217 | + | 1.08737i | ||||
\(304\) | 21.5079 | + | 8.81483i | 1.23356 | + | 0.505565i | ||||
\(305\) | −14.4993 | − | 14.4993i | −0.830230 | − | 0.830230i | ||||
\(306\) | −1.12431 | − | 1.33739i | −0.0642727 | − | 0.0764534i | ||||
\(307\) | 4.04751 | + | 0.805100i | 0.231004 | + | 0.0459495i | 0.309235 | − | 0.950986i | \(-0.399927\pi\) |
−0.0782309 | + | 0.996935i | \(0.524927\pi\) | |||||||
\(308\) | 22.9348 | + | 14.2024i | 1.30683 | + | 0.809259i | ||||
\(309\) | 5.72725 | + | 0.485359i | 0.325812 | + | 0.0276111i | ||||
\(310\) | 0.127959 | + | 7.39705i | 0.00726761 | + | 0.420124i | ||||
\(311\) | −31.9156 | + | 4.20177i | −1.80977 | + | 0.238261i | −0.958223 | − | 0.286021i | \(-0.907667\pi\) |
−0.851545 | + | 0.524281i | \(0.824334\pi\) | |||||||
\(312\) | 23.3184 | − | 8.77835i | 1.32014 | − | 0.496976i | ||||
\(313\) | −12.9000 | − | 1.69831i | −0.729148 | − | 0.0959942i | −0.243193 | − | 0.969978i | \(-0.578195\pi\) |
−0.485955 | + | 0.873984i | \(0.661528\pi\) | |||||||
\(314\) | 11.2006 | + | 1.27792i | 0.632088 | + | 0.0721174i | ||||
\(315\) | −3.27835 | − | 20.5547i | −0.184714 | − | 1.15813i | ||||
\(316\) | −7.94691 | + | 11.1338i | −0.447049 | + | 0.626325i | ||||
\(317\) | −0.823970 | − | 12.5714i | −0.0462788 | − | 0.706077i | −0.956459 | − | 0.291866i | \(-0.905724\pi\) |
0.910181 | − | 0.414212i | \(-0.135943\pi\) | |||||||
\(318\) | 21.9101 | − | 7.39360i | 1.22866 | − | 0.414613i | ||||
\(319\) | 23.8027 | − | 13.7425i | 1.33270 | − | 0.769433i | ||||
\(320\) | 6.62274 | − | 17.9000i | 0.370222 | − | 1.00064i | ||||
\(321\) | 0.846353 | + | 0.0161620i | 0.0472388 | + | 0.000902077i | ||||
\(322\) | −32.4115 | + | 11.6312i | −1.80622 | + | 0.648182i | ||||
\(323\) | 1.32953 | + | 1.98978i | 0.0739770 | + | 0.110714i | ||||
\(324\) | −17.7323 | − | 3.09283i | −0.985128 | − | 0.171824i | ||||
\(325\) | −0.686347 | − | 3.45050i | −0.0380717 | − | 0.191399i | ||||
\(326\) | −2.49143 | − | 1.84416i | −0.137987 | − | 0.102139i | ||||
\(327\) | 8.66989 | + | 22.1161i | 0.479446 | + | 1.22302i | ||||
\(328\) | −9.67078 | + | 22.4803i | −0.533980 | + | 1.24127i | ||||
\(329\) | −4.84640 | − | 36.8121i | −0.267191 | − | 2.02952i | ||||
\(330\) | −13.5096 | − | 23.4967i | −0.743678 | − | 1.29345i | ||||
\(331\) | −10.4276 | − | 21.1450i | −0.573152 | − | 1.16224i | −0.969717 | − | 0.244230i | \(-0.921465\pi\) |
0.396566 | − | 0.918006i | \(-0.370202\pi\) | |||||||
\(332\) | 0.688384 | − | 22.3026i | 0.0377800 | − | 1.22401i | ||||
\(333\) | −5.59647 | + | 23.4226i | −0.306684 | + | 1.28355i | ||||
\(334\) | −5.49268 | − | 1.75917i | −0.300546 | − | 0.0962574i | ||||
\(335\) | −5.94832 | − | 22.1994i | −0.324991 | − | 1.21288i | ||||
\(336\) | 4.91537 | + | 19.5398i | 0.268155 | + | 1.06598i | ||||
\(337\) | −4.35968 | + | 16.2706i | −0.237487 | + | 0.886314i | 0.739525 | + | 0.673129i | \(0.235050\pi\) |
−0.977012 | + | 0.213185i | \(0.931616\pi\) | |||||||
\(338\) | −9.84631 | + | 15.3025i | −0.535569 | + | 0.832349i | ||||
\(339\) | 2.56958 | − | 0.817883i | 0.139560 | − | 0.0444213i | ||||
\(340\) | 1.59508 | − | 1.14754i | 0.0865054 | − | 0.0622339i | ||||
\(341\) | −8.45593 | − | 5.65007i | −0.457914 | − | 0.305968i | ||||
\(342\) | 23.6756 | + | 6.87703i | 1.28023 | + | 0.371867i | ||||
\(343\) | −6.16826 | + | 14.8915i | −0.333055 | + | 0.804066i | ||||
\(344\) | −0.140954 | + | 1.78032i | −0.00759974 | + | 0.0959884i | ||||
\(345\) | 34.2094 | + | 5.17001i | 1.84177 | + | 0.278344i | ||||
\(346\) | 5.64683 | + | 2.22536i | 0.303575 | + | 0.119636i | ||||
\(347\) | −0.850335 | − | 0.969621i | −0.0456484 | − | 0.0520520i | 0.728565 | − | 0.684977i | \(-0.240188\pi\) |
−0.774213 | + | 0.632925i | \(0.781854\pi\) | |||||||
\(348\) | 19.9090 | + | 5.00520i | 1.06724 | + | 0.268307i | ||||
\(349\) | 1.17051 | + | 17.8586i | 0.0626561 | + | 0.955948i | 0.907264 | + | 0.420562i | \(0.138167\pi\) |
−0.844608 | + | 0.535386i | \(0.820166\pi\) | |||||||
\(350\) | 2.83520 | − | 0.235141i | 0.151548 | − | 0.0125688i | ||||
\(351\) | 23.6058 | − | 11.8818i | 1.25998 | − | 0.634202i | ||||
\(352\) | 15.0318 | + | 21.5033i | 0.801195 | + | 1.14613i | ||||
\(353\) | −5.39054 | + | 9.33669i | −0.286910 | + | 0.496942i | −0.973070 | − | 0.230508i | \(-0.925961\pi\) |
0.686161 | + | 0.727450i | \(0.259295\pi\) | |||||||
\(354\) | −16.6121 | + | 1.05884i | −0.882921 | + | 0.0562767i | ||||
\(355\) | −5.31157 | + | 10.7708i | −0.281909 | + | 0.571655i | ||||
\(356\) | 14.2729 | + | 7.59475i | 0.756461 | + | 0.402521i | ||||
\(357\) | −0.704169 | + | 1.95120i | −0.0372686 | + | 0.103269i | ||||
\(358\) | 0.314639 | + | 2.10755i | 0.0166292 | + | 0.111388i | ||||
\(359\) | −14.0915 | + | 5.83688i | −0.743720 | + | 0.308059i | −0.722176 | − | 0.691709i | \(-0.756858\pi\) |
−0.0215434 | + | 0.999768i | \(0.506858\pi\) | |||||||
\(360\) | 4.97100 | − | 19.6238i | 0.261995 | − | 1.03427i | ||||
\(361\) | −13.6441 | − | 5.65157i | −0.718110 | − | 0.297451i | ||||
\(362\) | −0.169538 | − | 0.0422988i | −0.00891074 | − | 0.00222318i | ||||
\(363\) | 18.1402 | + | 1.53731i | 0.952115 | + | 0.0806876i | ||||
\(364\) | −22.9021 | − | 18.7238i | −1.20040 | − | 0.981392i | ||||
\(365\) | −12.6854 | + | 4.30613i | −0.663987 | + | 0.225393i | ||||
\(366\) | 17.4840 | + | 11.7279i | 0.913903 | + | 0.613029i | ||||
\(367\) | 5.45621 | + | 20.3629i | 0.284812 | + | 1.06293i | 0.948977 | + | 0.315346i | \(0.102121\pi\) |
−0.664165 | + | 0.747586i | \(0.731213\pi\) | |||||||
\(368\) | −33.4271 | − | 2.06547i | −1.74251 | − | 0.107670i | ||||
\(369\) | −7.67039 | + | 24.7974i | −0.399305 | + | 1.29090i | ||||
\(370\) | −25.7931 | − | 8.26087i | −1.34092 | − | 0.429462i | ||||
\(371\) | −20.6412 | − | 18.1018i | −1.07164 | − | 0.939801i | ||||
\(372\) | −1.59717 | − | 7.42605i | −0.0828095 | − | 0.385023i | ||||
\(373\) | 0.983259 | − | 15.0016i | 0.0509112 | − | 0.776755i | −0.893721 | − | 0.448624i | \(-0.851914\pi\) |
0.944632 | − | 0.328132i | \(-0.106419\pi\) | |||||||
\(374\) | 0.0467194 | + | 2.70074i | 0.00241580 | + | 0.139652i | ||||
\(375\) | 16.3145 | + | 7.12558i | 0.842476 | + | 0.367964i | ||||
\(376\) | 9.81839 | − | 34.7510i | 0.506345 | − | 1.79215i | ||||
\(377\) | −27.8456 | + | 11.5340i | −1.43412 | + | 0.594032i | ||||
\(378\) | 7.38245 | + | 20.0551i | 0.379712 | + | 1.03152i | ||||
\(379\) | 15.5580 | − | 3.09468i | 0.799162 | − | 0.158963i | 0.221416 | − | 0.975180i | \(-0.428932\pi\) |
0.577746 | + | 0.816216i | \(0.303932\pi\) | |||||||
\(380\) | −9.71840 | + | 25.9683i | −0.498543 | + | 1.33214i | ||||
\(381\) | −18.1492 | + | 11.6319i | −0.929811 | + | 0.595921i | ||||
\(382\) | 0.247889 | − | 1.36962i | 0.0126831 | − | 0.0700759i | ||||
\(383\) | −5.99419 | − | 10.3822i | −0.306289 | − | 0.530508i | 0.671259 | − | 0.741223i | \(-0.265754\pi\) |
−0.977547 | + | 0.210716i | \(0.932421\pi\) | |||||||
\(384\) | −3.11839 | + | 19.3462i | −0.159135 | + | 0.987257i | ||||
\(385\) | −16.0895 | + | 27.8679i | −0.819998 | + | 1.42028i | ||||
\(386\) | 6.19278 | + | 5.24423i | 0.315204 | + | 0.266925i | ||||
\(387\) | 0.0516345 | + | 1.89352i | 0.00262473 | + | 0.0962530i | ||||
\(388\) | 28.2684 | − | 4.72142i | 1.43511 | − | 0.239694i | ||||
\(389\) | 2.82712 | − | 8.32844i | 0.143341 | − | 0.422269i | −0.851422 | − | 0.524482i | \(-0.824259\pi\) |
0.994763 | + | 0.102213i | \(0.0325924\pi\) | |||||||
\(390\) | 11.3246 | + | 27.4795i | 0.573442 | + | 1.39148i | ||||
\(391\) | −2.73551 | − | 2.09903i | −0.138341 | − | 0.106152i | ||||
\(392\) | 2.95439 | − | 2.87534i | 0.149219 | − | 0.145227i | ||||
\(393\) | 27.0731 | − | 3.03961i | 1.36566 | − | 0.153328i | ||||
\(394\) | 3.35076 | − | 2.01263i | 0.168809 | − | 0.101395i | ||||
\(395\) | −13.5673 | − | 9.06536i | −0.682644 | − | 0.456128i | ||||
\(396\) | 18.2729 | + | 20.9879i | 0.918246 | + | 1.05468i | ||||
\(397\) | 2.72211 | − | 13.6849i | 0.136619 | − | 0.686828i | −0.850389 | − | 0.526154i | \(-0.823633\pi\) |
0.987008 | − | 0.160673i | \(-0.0513666\pi\) | |||||||
\(398\) | −11.6461 | + | 10.5753i | −0.583766 | + | 0.530090i | ||||
\(399\) | −7.03470 | − | 28.4131i | −0.352175 | − | 1.42243i | ||||
\(400\) | 2.62338 | + | 0.879594i | 0.131169 | + | 0.0439797i | ||||
\(401\) | −8.87578 | − | 2.37826i | −0.443235 | − | 0.118765i | 0.0302971 | − | 0.999541i | \(-0.490355\pi\) |
−0.473532 | + | 0.880776i | \(0.657021\pi\) | |||||||
\(402\) | 10.3985 | + | 21.1820i | 0.518631 | + | 1.05646i | ||||
\(403\) | 8.38464 | + | 7.35313i | 0.417669 | + | 0.366286i | ||||
\(404\) | 21.0577 | − | 7.97054i | 1.04766 | − | 0.396549i | ||||
\(405\) | 3.03501 | − | 21.2560i | 0.150811 | − | 1.05622i | ||||
\(406\) | −6.71439 | − | 23.4297i | −0.333230 | − | 1.16280i | ||||
\(407\) | 29.5369 | − | 22.6645i | 1.46409 | − | 1.12344i | ||||
\(408\) | −1.37903 | + | 1.47259i | −0.0682722 | + | 0.0729041i | ||||
\(409\) | −1.75855 | − | 1.34938i | −0.0869546 | − | 0.0667226i | 0.564369 | − | 0.825522i | \(-0.309119\pi\) |
−0.651324 | + | 0.758800i | \(0.725786\pi\) | |||||||
\(410\) | −27.1591 | − | 10.7032i | −1.34129 | − | 0.528592i | ||||
\(411\) | 12.9566 | + | 4.67589i | 0.639100 | + | 0.230645i | ||||
\(412\) | −0.229553 | − | 6.63299i | −0.0113093 | − | 0.326784i | ||||
\(413\) | 10.9797 | + | 16.4323i | 0.540275 | + | 0.808579i | ||||
\(414\) | −35.4872 | + | 1.58233i | −1.74410 | + | 0.0777673i | ||||
\(415\) | 26.6167 | 1.30656 | ||||||||
\(416\) | −13.2648 | − | 25.5301i | −0.650360 | − | 1.25172i | ||||
\(417\) | 4.35747 | + | 7.89159i | 0.213386 | + | 0.386453i | ||||
\(418\) | −21.7206 | − | 31.3206i | −1.06239 | − | 1.53194i | ||||
\(419\) | −10.1989 | − | 5.02957i | −0.498251 | − | 0.245710i | 0.175758 | − | 0.984433i | \(-0.443762\pi\) |
−0.674009 | + | 0.738723i | \(0.735429\pi\) | |||||||
\(420\) | −23.1164 | + | 6.57967i | −1.12796 | + | 0.321055i | ||||
\(421\) | 8.42748 | − | 24.8265i | 0.410730 | − | 1.20997i | −0.523105 | − | 0.852268i | \(-0.675227\pi\) |
0.933835 | − | 0.357703i | \(-0.116440\pi\) | |||||||
\(422\) | 5.37767 | − | 4.27622i | 0.261781 | − | 0.208163i | ||||
\(423\) | 6.44555 | − | 37.7557i | 0.313393 | − | 1.83574i | ||||
\(424\) | −11.4839 | − | 24.1056i | −0.557707 | − | 1.17067i | ||||
\(425\) | 0.173415 | + | 0.225999i | 0.00841187 | + | 0.0109626i | ||||
\(426\) | 3.21269 | − | 11.9043i | 0.155655 | − | 0.576766i | ||||
\(427\) | 1.63479 | − | 24.9421i | 0.0791131 | − | 1.20703i | ||||
\(428\) | −0.0976260 | − | 0.972575i | −0.00471893 | − | 0.0470112i | ||||
\(429\) | −39.9120 | − | 8.73434i | −1.92697 | − | 0.421698i | ||||
\(430\) | −2.12786 | − | 0.102542i | −0.102615 | − | 0.00494501i | ||||
\(431\) | −11.7011 | − | 11.7011i | −0.563620 | − | 0.563620i | 0.366713 | − | 0.930334i | \(-0.380483\pi\) |
−0.930334 | + | 0.366713i | \(0.880483\pi\) | |||||||
\(432\) | −1.11234 | + | 20.7548i | −0.0535176 | + | 0.998567i | ||||
\(433\) | 4.81140 | − | 4.81140i | 0.231221 | − | 0.231221i | −0.581981 | − | 0.813202i | \(-0.697722\pi\) |
0.813202 | + | 0.581981i | \(0.197722\pi\) | |||||||
\(434\) | −6.67645 | + | 6.06255i | −0.320480 | + | 0.291012i | ||||
\(435\) | −5.23502 | + | 23.9217i | −0.251000 | + | 1.14696i | ||||
\(436\) | 24.1666 | − | 12.9754i | 1.15737 | − | 0.621411i | ||||
\(437\) | 48.5501 | + | 3.18214i | 2.32246 | + | 0.152222i | ||||
\(438\) | 11.9240 | − | 6.85578i | 0.569750 | − | 0.327582i | ||||
\(439\) | −0.492635 | + | 0.378012i | −0.0235122 | + | 0.0180415i | −0.620451 | − | 0.784245i | \(-0.713050\pi\) |
0.596938 | + | 0.802287i | \(0.296384\pi\) | |||||||
\(440\) | −25.0852 | + | 18.7137i | −1.19589 | + | 0.892140i | ||||
\(441\) | 2.79243 | − | 3.36494i | 0.132973 | − | 0.160235i | ||||
\(442\) | 0.335774 | − | 2.94296i | 0.0159711 | − | 0.139982i | ||||
\(443\) | −23.8312 | − | 8.08959i | −1.13225 | − | 0.384348i | −0.308459 | − | 0.951238i | \(-0.599813\pi\) |
−0.823794 | + | 0.566890i | \(0.808146\pi\) | |||||||
\(444\) | 27.6225 | + | 3.20184i | 1.31090 | + | 0.151953i | ||||
\(445\) | −8.52996 | + | 17.2970i | −0.404359 | + | 0.819959i | ||||
\(446\) | −4.77014 | + | 26.3557i | −0.225872 | + | 1.24798i | ||||
\(447\) | 2.96706 | − | 1.63831i | 0.140337 | − | 0.0774895i | ||||
\(448\) | 21.7280 | − | 8.31724i | 1.02655 | − | 0.392953i | ||||
\(449\) | 18.9006i | 0.891974i | 0.895039 | + | 0.445987i | \(0.147147\pi\) | ||||
−0.895039 | + | 0.445987i | \(0.852853\pi\) | |||||||
\(450\) | 2.86577 | + | 0.632543i | 0.135094 | + | 0.0298184i | ||||
\(451\) | 33.3659 | − | 22.2944i | 1.57114 | − | 1.04980i | ||||
\(452\) | −1.29037 | − | 2.83381i | −0.0606940 | − | 0.133291i | ||||
\(453\) | 5.02723 | − | 13.9301i | 0.236200 | − | 0.654493i | ||||
\(454\) | −3.14883 | − | 7.24492i | −0.147782 | − | 0.340021i | ||||
\(455\) | 21.4815 | − | 27.9952i | 1.00707 | − | 1.31244i | ||||
\(456\) | 4.63531 | − | 28.0883i | 0.217068 | − | 1.31535i | ||||
\(457\) | 2.52358 | + | 3.28879i | 0.118048 | + | 0.153843i | 0.848639 | − | 0.528972i | \(-0.177422\pi\) |
−0.730592 | + | 0.682815i | \(0.760756\pi\) | |||||||
\(458\) | −12.5535 | − | 6.96106i | −0.586584 | − | 0.325269i | ||||
\(459\) | −1.28876 | + | 1.70825i | −0.0601541 | + | 0.0797345i | ||||
\(460\) | 1.23250 | − | 39.9311i | 0.0574656 | − | 1.86180i | ||||
\(461\) | −2.22218 | + | 2.53392i | −0.103497 | + | 0.118016i | −0.801269 | − | 0.598304i | \(-0.795842\pi\) |
0.697772 | + | 0.716320i | \(0.254175\pi\) | |||||||
\(462\) | 10.6762 | − | 31.2665i | 0.496703 | − | 1.45465i | ||||
\(463\) | 1.81809 | − | 6.78522i | 0.0844940 | − | 0.315336i | −0.910724 | − | 0.413016i | \(-0.864475\pi\) |
0.995218 | + | 0.0976799i | \(0.0311421\pi\) | |||||||
\(464\) | 3.00616 | − | 23.5129i | 0.139558 | − | 1.09156i | ||||
\(465\) | 8.79529 | − | 2.17759i | 0.407872 | − | 0.100983i | ||||
\(466\) | −0.443253 | + | 9.19800i | −0.0205333 | + | 0.426089i | ||||
\(467\) | 30.9381 | + | 6.15398i | 1.43165 | + | 0.284772i | 0.849189 | − | 0.528089i | \(-0.177091\pi\) |
0.582457 | + | 0.812861i | \(0.302091\pi\) | |||||||
\(468\) | −16.8624 | − | 25.4337i | −0.779463 | − | 1.17567i | ||||
\(469\) | 15.5646 | − | 23.2940i | 0.718706 | − | 1.07562i | ||||
\(470\) | 41.7949 | + | 10.4276i | 1.92786 | + | 0.480989i | ||||
\(471\) | −1.54048 | − | 13.7207i | −0.0709815 | − | 0.632216i | ||||
\(472\) | 3.49387 | + | 18.9007i | 0.160818 | + | 0.869974i | ||||
\(473\) | 1.78273 | − | 2.32330i | 0.0819700 | − | 0.106825i | ||||
\(474\) | 15.4665 | + | 6.43900i | 0.710398 | + | 0.295753i | ||||
\(475\) | −3.80634 | − | 1.29208i | −0.174647 | − | 0.0592846i | ||||
\(476\) | 2.33373 | + | 0.539552i | 0.106966 | + | 0.0247303i | ||||
\(477\) | −14.8238 | − | 24.1316i | −0.678735 | − | 1.10491i | ||||
\(478\) | −2.17887 | − | 26.2716i | −0.0996591 | − | 1.20164i | ||||
\(479\) | 8.87603 | + | 5.12458i | 0.405556 | + | 0.234148i | 0.688879 | − | 0.724877i | \(-0.258103\pi\) |
−0.283322 | + | 0.959025i | \(0.591437\pi\) | |||||||
\(480\) | −23.1812 | − | 3.00610i | −1.05807 | − | 0.137209i | ||||
\(481\) | −35.3568 | + | 20.4133i | −1.61213 | + | 0.930766i | ||||
\(482\) | −9.52078 | − | 13.7287i | −0.433659 | − | 0.625326i | ||||
\(483\) | 22.7571 | + | 35.5078i | 1.03548 | + | 1.61566i | ||||
\(484\) | −0.727077 | − | 21.0090i | −0.0330489 | − | 0.954956i | ||||
\(485\) | 6.66965 | + | 33.5306i | 0.302853 | + | 1.52255i | ||||
\(486\) | 1.16187 | + | 22.0148i | 0.0527034 | + | 0.998610i | ||||
\(487\) | 4.15186 | + | 10.0235i | 0.188139 | + | 0.454208i | 0.989601 | − | 0.143838i | \(-0.0459443\pi\) |
−0.801462 | + | 0.598045i | \(0.795944\pi\) | |||||||
\(488\) | 11.0467 | − | 21.6553i | 0.500060 | − | 0.980287i | ||||
\(489\) | −1.51950 | + | 3.47899i | −0.0687141 | + | 0.157325i | ||||
\(490\) | 3.53699 | + | 3.41670i | 0.159785 | + | 0.154351i | ||||
\(491\) | −28.4232 | − | 1.86295i | −1.28272 | − | 0.0840738i | −0.591255 | − | 0.806485i | \(-0.701367\pi\) |
−0.691464 | + | 0.722411i | \(0.743034\pi\) | |||||||
\(492\) | 29.4834 | + | 5.39095i | 1.32921 | + | 0.243043i | ||||
\(493\) | 1.60911 | − | 1.83484i | 0.0724707 | − | 0.0826370i | ||||
\(494\) | 19.1318 | + | 37.1610i | 0.860781 | + | 1.67195i | ||||
\(495\) | −24.3514 | + | 22.5591i | −1.09451 | + | 1.01396i | ||||
\(496\) | −8.29488 | + | 2.85036i | −0.372451 | + | 0.127985i | ||||
\(497\) | −14.1404 | + | 3.78891i | −0.634283 | + | 0.169956i | ||||
\(498\) | −26.8124 | + | 5.28326i | −1.20149 | + | 0.236748i | ||||
\(499\) | −9.06022 | − | 26.6906i | −0.405591 | − | 1.19483i | −0.937486 | − | 0.348023i | \(-0.886853\pi\) |
0.531895 | − | 0.846810i | \(-0.321480\pi\) | |||||||
\(500\) | 5.93054 | − | 19.6827i | 0.265222 | − | 0.880239i | ||||
\(501\) | −0.596482 | + | 7.03850i | −0.0266489 | + | 0.314457i | ||||
\(502\) | 14.0307 | + | 23.3592i | 0.626219 | + | 1.04257i | ||||
\(503\) | −2.33867 | + | 5.64605i | −0.104276 | + | 0.251745i | −0.967403 | − | 0.253243i | \(-0.918503\pi\) |
0.863127 | + | 0.504987i | \(0.168503\pi\) | |||||||
\(504\) | 21.9803 | − | 11.2165i | 0.979081 | − | 0.499624i | ||||
\(505\) | 10.2782 | + | 24.8138i | 0.457375 | + | 1.10420i | ||||
\(506\) | 44.1406 | + | 32.6730i | 1.96229 | + | 1.45249i | ||||
\(507\) | 20.9629 | + | 7.56530i | 0.930995 | + | 0.335987i | ||||
\(508\) | 15.8270 | + | 19.2119i | 0.702210 | + | 0.852392i | ||||
\(509\) | −19.1791 | − | 9.45811i | −0.850101 | − | 0.419223i | −0.0355863 | − | 0.999367i | \(-0.511330\pi\) |
−0.814514 | + | 0.580143i | \(0.802997\pi\) | |||||||
\(510\) | −1.80652 | − | 1.59003i | −0.0799940 | − | 0.0704075i | ||||
\(511\) | −14.1423 | − | 8.16504i | −0.625617 | − | 0.361200i | ||||
\(512\) | 22.6087 | + | 0.920152i | 0.999173 | + | 0.0406654i | ||||
\(513\) | 1.72867 | − | 30.1456i | 0.0763226 | − | 1.33096i | ||||
\(514\) | −25.9187 | + | 30.6067i | −1.14322 | + | 1.35000i | ||||
\(515\) | 7.90007 | − | 0.517798i | 0.348118 | − | 0.0228169i | ||||
\(516\) | 2.16386 | − | 0.319072i | 0.0952588 | − | 0.0140464i | ||||
\(517\) | −44.5198 | + | 39.0428i | −1.95798 | + | 1.71710i | ||||
\(518\) | −13.1599 | − | 30.2785i | −0.578211 | − | 1.33036i | ||||
\(519\) | 1.11081 | − | 7.35013i | 0.0487594 | − | 0.322635i | ||||
\(520\) | 29.9514 | − | 16.7552i | 1.31346 | − | 0.734762i | ||||
\(521\) | 6.97296 | + | 2.88830i | 0.305491 | + | 0.126539i | 0.530163 | − | 0.847896i | \(-0.322131\pi\) |
−0.224671 | + | 0.974435i | \(0.572131\pi\) | |||||||
\(522\) | 0.525198 | − | 25.1368i | 0.0229873 | − | 1.10021i | ||||
\(523\) | −17.8240 | + | 26.6754i | −0.779387 | + | 1.16643i | 0.202927 | + | 0.979194i | \(0.434955\pi\) |
−0.982314 | + | 0.187241i | \(0.940045\pi\) | |||||||
\(524\) | −7.20056 | − | 30.6226i | −0.314558 | − | 1.33775i | ||||
\(525\) | −1.05680 | − | 3.32019i | −0.0461226 | − | 0.144905i | ||||
\(526\) | −14.6634 | + | 3.18134i | −0.639356 | + | 0.138713i | ||||
\(527\) | −0.872238 | − | 0.233716i | −0.0379953 | − | 0.0101808i | ||||
\(528\) | 21.5551 | − | 23.8306i | 0.938066 | − | 1.03709i | ||||
\(529\) | −45.4974 | + | 12.1910i | −1.97815 | + | 0.530043i | ||||
\(530\) | 28.3184 | − | 14.5793i | 1.23007 | − | 0.633286i | ||||
\(531\) | 5.81133 | + | 19.5410i | 0.252190 | + | 0.848008i | ||||
\(532\) | −31.6106 | + | 11.9649i | −1.37049 | + | 0.518744i | ||||
\(533\) | −39.4667 | + | 19.4628i | −1.70949 | + | 0.843029i | ||||
\(534\) | 5.15932 | − | 19.1174i | 0.223266 | − | 0.827290i | ||||
\(535\) | 1.15601 | − | 0.152191i | 0.0499786 | − | 0.00657980i | ||||
\(536\) | 22.8583 | − | 14.8291i | 0.987329 | − | 0.640521i | ||||
\(537\) | 2.42979 | − | 0.952518i | 0.104853 | − | 0.0411042i | ||||
\(538\) | 4.18257 | − | 0.624421i | 0.180323 | − | 0.0269207i | ||||
\(539\) | −6.63026 | + | 1.31884i | −0.285585 | + | 0.0568065i | ||||
\(540\) | −24.7869 | − | 0.562446i | −1.06666 | − | 0.0242038i | ||||
\(541\) | 2.73360 | − | 1.82653i | 0.117527 | − | 0.0785287i | −0.495418 | − | 0.868655i | \(-0.664985\pi\) |
0.612944 | + | 0.790126i | \(0.289985\pi\) | |||||||
\(542\) | 9.85243 | + | 4.64859i | 0.423198 | + | 0.199674i | ||||
\(543\) | −0.00408594 | + | 0.213967i | −0.000175344 | + | 0.00918221i | ||||
\(544\) | 1.87761 | + | 1.37898i | 0.0805019 | + | 0.0591232i | ||||
\(545\) | 16.3600 | + | 28.3363i | 0.700784 | + | 1.21379i | ||||
\(546\) | −16.0826 | + | 32.4651i | −0.688271 | + | 1.38938i | ||||
\(547\) | 31.9455 | − | 2.09382i | 1.36589 | − | 0.0895253i | 0.635261 | − | 0.772298i | \(-0.280893\pi\) |
0.730631 | + | 0.682772i | \(0.239226\pi\) | |||||||
\(548\) | 3.58278 | − | 15.4966i | 0.153049 | − | 0.661983i | ||||
\(549\) | 9.21436 | − | 24.0821i | 0.393259 | − | 1.02780i | ||||
\(550\) | −2.82386 | − | 3.55121i | −0.120410 | − | 0.151424i | ||||
\(551\) | −4.49490 | + | 34.1421i | −0.191489 | + | 1.45450i | ||||
\(552\) | 6.68453 | + | 40.4694i | 0.284513 | + | 1.72249i | ||||
\(553\) | −2.59624 | − | 19.7204i | −0.110403 | − | 0.838596i | ||||
\(554\) | 17.5701 | + | 16.9725i | 0.746480 | + | 0.721093i | ||||
\(555\) | −2.80102 | + | 33.0521i | −0.118897 | + | 1.40298i | ||||
\(556\) | 8.44980 | − | 6.07898i | 0.358351 | − | 0.257806i | ||||
\(557\) | −0.907617 | + | 4.56290i | −0.0384570 | + | 0.193336i | −0.995238 | − | 0.0974723i | \(-0.968924\pi\) |
0.956781 | + | 0.290809i | \(0.0939243\pi\) | |||||||
\(558\) | −8.42773 | + | 3.93942i | −0.356774 | + | 0.166769i | ||||
\(559\) | −2.27074 | + | 2.27074i | −0.0960422 | + | 0.0960422i | ||||
\(560\) | 10.7163 | + | 25.6002i | 0.452845 | + | 1.08181i | ||||
\(561\) | 3.21126 | − | 0.795063i | 0.135579 | − | 0.0335676i | ||||
\(562\) | 32.0005 | − | 6.94275i | 1.34986 | − | 0.292862i | ||||
\(563\) | 11.7351 | − | 3.98352i | 0.494575 | − | 0.167886i | −0.0629979 | − | 0.998014i | \(-0.520066\pi\) |
0.557573 | + | 0.830128i | \(0.311733\pi\) | |||||||
\(564\) | −44.1721 | − | 2.20822i | −1.85998 | − | 0.0929827i | ||||
\(565\) | 3.33126 | − | 1.64280i | 0.140147 | − | 0.0691130i | ||||
\(566\) | −14.3474 | + | 25.8739i | −0.603067 | + | 1.08756i | ||||
\(567\) | 21.9202 | − | 14.3027i | 0.920562 | − | 0.600657i | ||||
\(568\) | −14.0894 | − | 2.04961i | −0.591178 | − | 0.0859998i | ||||
\(569\) | 4.47221 | − | 33.9698i | 0.187485 | − | 1.42409i | −0.596154 | − | 0.802870i | \(-0.703305\pi\) |
0.783638 | − | 0.621217i | \(-0.213362\pi\) | |||||||
\(570\) | 33.6602 | + | 4.49300i | 1.40987 | + | 0.188191i | ||||
\(571\) | 21.5131 | + | 24.5310i | 0.900295 | + | 1.02659i | 0.999503 | + | 0.0315229i | \(0.0100357\pi\) |
−0.0992081 | + | 0.995067i | \(0.531631\pi\) | |||||||
\(572\) | −4.53640 | + | 46.9585i | −0.189677 | + | 1.96343i | ||||
\(573\) | −1.70286 | + | 0.0789943i | −0.0711379 | + | 0.00330004i | ||||
\(574\) | −12.0195 | − | 33.4935i | −0.501684 | − | 1.39799i | ||||
\(575\) | 5.79164 | 0.241528 | ||||||||
\(576\) | 23.9484 | − | 1.57314i | 0.997849 | − | 0.0655474i | ||||
\(577\) | −46.1278 | −1.92032 | −0.960162 | − | 0.279442i | \(-0.909850\pi\) | ||||
−0.960162 | + | 0.279442i | \(0.909850\pi\) | |||||||
\(578\) | −8.03952 | − | 22.4029i | −0.334400 | − | 0.931839i | ||||
\(579\) | 4.56518 | − | 8.82824i | 0.189723 | − | 0.366889i | ||||
\(580\) | 28.1451 | + | 2.71894i | 1.16866 | + | 0.112898i | ||||
\(581\) | 21.3928 | + | 24.3938i | 0.887523 | + | 1.01203i | ||||
\(582\) | −13.3743 | − | 32.4533i | −0.554384 | − | 1.34523i | ||||
\(583\) | −5.71496 | + | 43.4094i | −0.236689 | + | 1.79783i | ||||
\(584\) | −9.49674 | − | 12.7301i | −0.392978 | − | 0.526777i | ||||
\(585\) | 29.7040 | − | 21.0410i | 1.22811 | − | 0.869937i | ||||
\(586\) | −6.33217 | + | 11.4193i | −0.261580 | + | 0.471728i | ||||
\(587\) | 25.8912 | − | 12.7681i | 1.06864 | − | 0.526997i | 0.179093 | − | 0.983832i | \(-0.442684\pi\) |
0.889551 | + | 0.456835i | \(0.151017\pi\) | |||||||
\(588\) | −4.24119 | − | 2.73975i | −0.174904 | − | 0.112986i | ||||
\(589\) | 12.0659 | − | 4.09581i | 0.497166 | − | 0.168765i | ||||
\(590\) | −22.4067 | + | 4.86130i | −0.922468 | + | 0.200137i | ||||
\(591\) | −3.31982 | − | 3.44908i | −0.136559 | − | 0.141876i | ||||
\(592\) | −0.120028 | − | 32.1090i | −0.00493313 | − | 1.31967i | ||||
\(593\) | −4.07635 | + | 4.07635i | −0.167395 | + | 0.167395i | −0.785834 | − | 0.618438i | \(-0.787766\pi\) |
0.618438 | + | 0.785834i | \(0.287766\pi\) | |||||||
\(594\) | 20.0526 | − | 27.5586i | 0.822768 | − | 1.13074i | ||||
\(595\) | −0.557424 | + | 2.80236i | −0.0228521 | + | 0.114885i | ||||
\(596\) | −2.28556 | − | 3.17693i | −0.0936201 | − | 0.130132i | ||||
\(597\) | 15.8123 | + | 11.0079i | 0.647154 | + | 0.450521i | ||||
\(598\) | −43.3134 | − | 41.8404i | −1.77122 | − | 1.71098i | ||||
\(599\) | −4.35238 | − | 33.0596i | −0.177834 | − | 1.35078i | −0.814734 | − | 0.579835i | \(-0.803117\pi\) |
0.636901 | − | 0.770946i | \(-0.280216\pi\) | |||||||
\(600\) | 0.331913 | − | 3.37247i | 0.0135503 | − | 0.137680i | ||||
\(601\) | −5.15988 | + | 39.1932i | −0.210476 | + | 1.59872i | 0.481264 | + | 0.876576i | \(0.340178\pi\) |
−0.691740 | + | 0.722147i | \(0.743156\pi\) | |||||||
\(602\) | −1.61626 | − | 2.03257i | −0.0658739 | − | 0.0828415i | ||||
\(603\) | 22.4398 | − | 18.2116i | 0.913819 | − | 0.741635i | ||||
\(604\) | −16.6610 | − | 3.85199i | −0.677928 | − | 0.156735i | ||||
\(605\) | 25.0223 | − | 1.64005i | 1.01730 | − | 0.0666775i | ||||
\(606\) | −15.2792 | − | 22.9561i | −0.620675 | − | 0.932529i | ||||
\(607\) | 10.7975 | + | 18.7018i | 0.438257 | + | 0.759084i | 0.997555 | − | 0.0698829i | \(-0.0222626\pi\) |
−0.559298 | + | 0.828967i | \(0.688929\pi\) | |||||||
\(608\) | −32.8398 | − | 1.45953i | −1.33183 | − | 0.0591918i | ||||
\(609\) | −26.1315 | + | 14.4289i | −1.05890 | + | 0.584690i | ||||
\(610\) | 26.2261 | + | 12.3740i | 1.06186 | + | 0.501010i | ||||
\(611\) | 53.9906 | − | 36.0754i | 2.18423 | − | 1.45945i | ||||
\(612\) | 2.13541 | + | 1.24313i | 0.0863190 | + | 0.0502507i | ||||
\(613\) | 15.0591 | − | 2.99544i | 0.608231 | − | 0.120985i | 0.118640 | − | 0.992937i | \(-0.462146\pi\) |
0.489590 | + | 0.871953i | \(0.337146\pi\) | |||||||
\(614\) | −5.77222 | + | 0.861741i | −0.232948 | + | 0.0347770i | ||||
\(615\) | −5.34260 | + | 35.3514i | −0.215435 | + | 1.42551i | ||||
\(616\) | −37.3127 | − | 7.94936i | −1.50337 | − | 0.320289i | ||||
\(617\) | −8.55030 | + | 1.12567i | −0.344222 | + | 0.0453177i | −0.300655 | − | 0.953733i | \(-0.597205\pi\) |
−0.0435666 | + | 0.999051i | \(0.513872\pi\) | |||||||
\(618\) | −7.85538 | + | 2.08972i | −0.315990 | + | 0.0840610i | ||||
\(619\) | −18.6006 | + | 9.17281i | −0.747622 | + | 0.368686i | −0.775852 | − | 0.630915i | \(-0.782680\pi\) |
0.0282299 | + | 0.999601i | \(0.491013\pi\) | |||||||
\(620\) | −3.70374 | − | 9.78508i | −0.148746 | − | 0.392978i | ||||
\(621\) | 11.6030 | + | 41.9301i | 0.465614 | + | 1.68260i | ||||
\(622\) | 40.4757 | − | 20.8384i | 1.62293 | − | 0.835543i | ||||
\(623\) | −22.7083 | + | 6.08468i | −0.909791 | + | 0.243778i | ||||
\(624\) | −26.8459 | + | 22.8235i | −1.07469 | + | 0.913673i | ||||
\(625\) | 27.0268 | + | 7.24180i | 1.08107 | + | 0.289672i | ||||
\(626\) | 17.9824 | − | 3.90141i | 0.718719 | − | 0.155932i | ||||
\(627\) | −31.4436 | + | 34.5028i | −1.25574 | + | 1.37791i | ||||
\(628\) | −15.5196 | + | 3.64925i | −0.619298 | + | 0.145621i | ||||
\(629\) | 1.83660 | − | 2.74866i | 0.0732299 | − | 0.109596i | ||||
\(630\) | 14.1824 | + | 25.7943i | 0.565038 | + | 1.02767i | ||||
\(631\) | −25.9712 | − | 10.7576i | −1.03390 | − | 0.428254i | −0.199779 | − | 0.979841i | \(-0.564022\pi\) |
−0.834117 | + | 0.551587i | \(0.814022\pi\) | |||||||
\(632\) | 5.25975 | − | 18.6162i | 0.209222 | − | 0.740515i | ||||
\(633\) | −6.57686 | − | 5.24911i | −0.261407 | − | 0.208633i | ||||
\(634\) | 7.10185 | + | 16.3401i | 0.282050 | + | 0.648949i | ||||
\(635\) | −22.3239 | + | 19.5776i | −0.885898 | + | 0.776911i | ||||
\(636\) | −25.6328 | + | 20.3076i | −1.01640 | + | 0.805249i | ||||
\(637\) | 7.39725 | − | 0.484841i | 0.293090 | − | 0.0192101i | ||||
\(638\) | −25.1193 | + | 29.6627i | −0.994482 | + | 1.17436i | ||||
\(639\) | −15.0904 | − | 0.576544i | −0.596965 | − | 0.0228077i | ||||
\(640\) | −0.265072 | + | 26.9902i | −0.0104779 | + | 1.06688i | ||||
\(641\) | 2.38780 | + | 1.37860i | 0.0943124 | + | 0.0544513i | 0.546414 | − | 0.837515i | \(-0.315992\pi\) |
−0.452102 | + | 0.891966i | \(0.649326\pi\) | |||||||
\(642\) | −1.13430 | + | 0.382771i | −0.0447672 | + | 0.0151068i | ||||
\(643\) | −10.4730 | − | 5.16469i | −0.413013 | − | 0.203675i | 0.223898 | − | 0.974612i | \(-0.428122\pi\) |
−0.636911 | + | 0.770937i | \(0.719788\pi\) | |||||||
\(644\) | 37.5869 | − | 30.9646i | 1.48113 | − | 1.22017i | ||||
\(645\) | 0.460062 | + | 2.56823i | 0.0181149 | + | 0.101124i | ||||
\(646\) | −2.72021 | − | 2.01351i | −0.107025 | − | 0.0792204i | ||||
\(647\) | 0.924974 | + | 2.23308i | 0.0363645 | + | 0.0877916i | 0.941018 | − | 0.338355i | \(-0.109871\pi\) |
−0.904654 | + | 0.426147i | \(0.859871\pi\) | |||||||
\(648\) | 25.0808 | − | 4.35347i | 0.985267 | − | 0.171021i | ||||
\(649\) | 12.0614 | − | 29.1187i | 0.473450 | − | 1.14301i | ||||
\(650\) | 2.56182 | + | 4.26510i | 0.100483 | + | 0.167291i | ||||
\(651\) | 9.06483 | + | 6.31055i | 0.355279 | + | 0.247330i | ||||
\(652\) | 4.19725 | + | 1.26466i | 0.164377 | + | 0.0495279i | ||||
\(653\) | 6.41204 | + | 18.8893i | 0.250923 | + | 0.739194i | 0.997284 | + | 0.0736531i | \(0.0234658\pi\) |
−0.746361 | + | 0.665541i | \(0.768201\pi\) | |||||||
\(654\) | −22.1049 | − | 25.2973i | −0.864369 | − | 0.989203i | ||||
\(655\) | 36.2463 | − | 9.71217i | 1.41626 | − | 0.379486i | ||||
\(656\) | 2.13442 | − | 34.5430i | 0.0833350 | − | 1.34868i | ||||
\(657\) | −11.4482 | − | 12.3577i | −0.446637 | − | 0.482121i | ||||
\(658\) | 24.0354 | + | 46.6855i | 0.936997 | + | 1.81999i | ||||
\(659\) | −16.7846 | + | 19.1391i | −0.653833 | + | 0.745554i | −0.979834 | − | 0.199816i | \(-0.935966\pi\) |
0.326000 | + | 0.945370i | \(0.394299\pi\) | |||||||
\(660\) | 29.2064 | + | 24.8231i | 1.13686 | + | 0.966240i | ||||
\(661\) | 23.7254 | + | 1.55504i | 0.922810 | + | 0.0604842i | 0.519396 | − | 0.854533i | \(-0.326157\pi\) |
0.403414 | + | 0.915018i | \(0.367823\pi\) | |||||||
\(662\) | 23.9807 | + | 23.1651i | 0.932035 | + | 0.900337i | ||||
\(663\) | −3.60511 | + | 0.404760i | −0.140011 | + | 0.0157196i | ||||
\(664\) | 9.73716 | + | 30.0158i | 0.377875 | + | 1.16484i | ||||
\(665\) | −15.4290 | − | 37.2490i | −0.598312 | − | 1.44445i | ||||
\(666\) | −3.73903 | − | 33.8511i | −0.144884 | − | 1.31170i | ||||
\(667\) | −9.67988 | − | 48.6640i | −0.374806 | − | 1.88428i | ||||
\(668\) | 8.15162 | − | 0.282109i | 0.315395 | − | 0.0109151i | ||||
\(669\) | 32.7682 | − | 1.52009i | 1.26689 | − | 0.0587702i | ||||
\(670\) | 18.5220 | + | 26.7082i | 0.715567 | + | 1.03183i | ||||
\(671\) | −34.5223 | + | 19.9315i | −1.33272 | + | 0.769446i | ||||
\(672\) | −15.8766 | − | 23.6614i | −0.612452 | − | 0.912758i | ||||
\(673\) | −10.0080 | − | 5.77814i | −0.385781 | − | 0.222731i | 0.294549 | − | 0.955636i | \(-0.404830\pi\) |
−0.680331 | + | 0.732905i | \(0.738164\pi\) | |||||||
\(674\) | −1.96893 | − | 23.7402i | −0.0758402 | − | 0.914440i | ||||
\(675\) | −0.0293599 | − | 3.59420i | −0.00113006 | − | 0.138341i | ||||
\(676\) | 5.79672 | − | 25.0726i | 0.222951 | − | 0.964330i | ||||
\(677\) | −10.5747 | − | 3.58964i | −0.406420 | − | 0.137961i | 0.110741 | − | 0.993849i | \(-0.464678\pi\) |
−0.517161 | + | 0.855888i | \(0.673011\pi\) | |||||||
\(678\) | −3.02967 | + | 2.31611i | −0.116354 | + | 0.0889498i | ||||
\(679\) | −25.3697 | + | 33.0624i | −0.973600 | + | 1.26882i | ||||
\(680\) | −1.57506 | + | 2.28942i | −0.0604007 | + | 0.0877953i | ||||
\(681\) | −7.78676 | + | 5.74215i | −0.298389 | + | 0.220040i | ||||
\(682\) | 13.9546 | + | 3.48159i | 0.534349 | + | 0.133317i | ||||
\(683\) | 19.3997 | − | 29.0338i | 0.742311 | − | 1.11095i | −0.247546 | − | 0.968876i | \(-0.579624\pi\) |
0.989857 | − | 0.142070i | \(-0.0453759\pi\) | |||||||
\(684\) | −34.7996 | + | 2.15532i | −1.33060 | + | 0.0824108i | ||||
\(685\) | 18.6085 | + | 3.70146i | 0.710993 | + | 0.141425i | ||||
\(686\) | 1.09722 | − | 22.7685i | 0.0418919 | − | 0.869306i | ||||
\(687\) | −4.87351 | + | 16.8913i | −0.185936 | + | 0.644445i | ||||
\(688\) | −0.662796 | − | 2.43711i | −0.0252689 | − | 0.0929140i | ||||
\(689\) | 12.4267 | − | 46.3771i | 0.473420 | − | 1.76683i | ||||
\(690\) | −48.0057 | + | 9.45928i | −1.82754 | + | 0.360109i | ||||
\(691\) | −28.8800 | + | 32.9313i | −1.09865 | + | 1.25277i | −0.133503 | + | 0.991048i | \(0.542622\pi\) |
−0.965144 | + | 0.261718i | \(0.915711\pi\) | |||||||
\(692\) | −8.57949 | − | 0.264812i | −0.326143 | − | 0.0100666i | ||||
\(693\) | −40.2472 | − | 4.18611i | −1.52887 | − | 0.159017i | ||||
\(694\) | 1.59505 | + | 0.884475i | 0.0605472 | + | 0.0335742i | ||||
\(695\) | 7.55892 | + | 9.85098i | 0.286726 | + | 0.373669i | ||||
\(696\) | −28.8918 | + | 2.84770i | −1.09514 | + | 0.107942i | ||||
\(697\) | 2.16910 | − | 2.82683i | 0.0821605 | − | 0.107074i | ||||
\(698\) | −10.0887 | − | 23.2124i | −0.381864 | − | 0.878603i | ||||
\(699\) | 11.1016 | − | 1.98869i | 0.419900 | − | 0.0752191i | ||||
\(700\) | −3.66161 | + | 1.66731i | −0.138396 | + | 0.0630185i | ||||
\(701\) | −29.1875 | + | 19.5025i | −1.10240 | + | 0.736598i | −0.967148 | − | 0.254214i | \(-0.918183\pi\) |
−0.135249 | + | 0.990812i | \(0.543183\pi\) | |||||||
\(702\) | −25.7459 | + | 27.0918i | −0.971718 | + | 1.02251i | ||||
\(703\) | 46.6471i | 1.75933i | ||||||||
\(704\) | −30.2804 | − | 21.4427i | −1.14124 | − | 0.808152i | ||||
\(705\) | 1.00727 | − | 52.7476i | 0.0379361 | − | 1.98659i | ||||
\(706\) | 2.71541 | − | 15.0030i | 0.102196 | − | 0.564645i | ||||
\(707\) | −14.4805 | + | 29.3636i | −0.544597 | + | 1.10433i | ||||
\(708\) | 21.6065 | − | 9.34464i | 0.812022 | − | 0.351193i | ||||
\(709\) | −9.83192 | − | 3.33749i | −0.369246 | − | 0.125342i | 0.130648 | − | 0.991429i | \(-0.458294\pi\) |
−0.499894 | + | 0.866087i | \(0.666628\pi\) | |||||||
\(710\) | 1.92525 | − | 16.8742i | 0.0722532 | − | 0.633278i | ||||
\(711\) | 3.45291 | − | 20.2259i | 0.129494 | − | 0.758529i | ||||
\(712\) | −22.6265 | − | 3.29151i | −0.847963 | − | 0.123355i | ||||
\(713\) | −14.5653 | + | 11.1763i | −0.545475 | + | 0.418558i | ||||
\(714\) | 0.00527108 | − | 2.93361i | 0.000197265 | − | 0.109788i | ||||
\(715\) | −56.1555 | − | 3.68063i | −2.10010 | − | 0.137648i | ||||
\(716\) | −1.42555 | − | 2.65506i | −0.0532752 | − | 0.0992244i | ||||
\(717\) | −30.7656 | + | 9.79254i | −1.14896 | + | 0.365709i | ||||
\(718\) | 15.9690 | − | 14.5007i | 0.595957 | − | 0.541160i | ||||
\(719\) | 20.0508 | − | 20.0508i | 0.747768 | − | 0.747768i | −0.226292 | − | 0.974060i | \(-0.572660\pi\) |
0.974060 | + | 0.226292i | \(0.0726602\pi\) | |||||||
\(720\) | 2.75698 | + | 28.4958i | 0.102746 | + | 1.06197i | ||||
\(721\) | 6.82413 | + | 6.82413i | 0.254144 | + | 0.254144i | ||||
\(722\) | 20.8613 | + | 1.00531i | 0.776376 | + | 0.0374136i | ||||
\(723\) | −13.7827 | + | 15.1236i | −0.512582 | + | 0.562452i | ||||
\(724\) | 0.245877 | − | 0.0246809i | 0.00913796 | − | 0.000917259i | ||||
\(725\) | −0.268103 | + | 4.09046i | −0.00995709 | + | 0.151916i | ||||
\(726\) | −24.8808 | + | 6.61889i | −0.923412 | + | 0.245650i | ||||
\(727\) | 7.63093 | + | 9.94482i | 0.283015 | + | 0.368833i | 0.913129 | − | 0.407670i | \(-0.133659\pi\) |
−0.630114 | + | 0.776503i | \(0.716992\pi\) | |||||||
\(728\) | 39.4289 | + | 13.9833i | 1.46133 | + | 0.518256i | ||||
\(729\) | 25.9624 | − | 7.41323i | 0.961569 | − | 0.274564i | ||||
\(730\) | 14.8286 | − | 11.7914i | 0.548832 | − | 0.436421i | ||||
\(731\) | 0.0835823 | − | 0.246225i | 0.00309140 | − | 0.00910697i | ||||
\(732\) | −28.8751 | − | 7.25930i | −1.06725 | − | 0.268312i | ||||
\(733\) | −12.6681 | − | 6.24720i | −0.467906 | − | 0.230746i | 0.193023 | − | 0.981194i | \(-0.438171\pi\) |
−0.660929 | + | 0.750449i | \(0.729838\pi\) | |||||||
\(734\) | −16.9897 | − | 24.4987i | −0.627099 | − | 0.904262i | ||||
\(735\) | 3.11053 | − | 5.15760i | 0.114733 | − | 0.190241i | ||||
\(736\) | 45.4814 | − | 13.2181i | 1.67647 | − | 0.487224i | ||||
\(737\) | −44.6791 | −1.64578 | ||||||||
\(738\) | −1.63515 | − | 36.6718i | −0.0601908 | − | 1.34991i | ||||
\(739\) | −27.9709 | − | 41.8614i | −1.02893 | − | 1.53990i | −0.828343 | − | 0.560221i | \(-0.810716\pi\) |
−0.200583 | − | 0.979677i | \(-0.564284\pi\) | |||||||
\(740\) | 38.2791 | − | 1.32476i | 1.40717 | − | 0.0486990i | ||||
\(741\) | 39.1243 | − | 33.0111i | 1.43727 | − | 1.21269i | ||||
\(742\) | 36.1223 | + | 14.2355i | 1.32609 | + | 0.522601i | ||||
\(743\) | −6.26904 | − | 4.81040i | −0.229989 | − | 0.176477i | 0.487338 | − | 0.873213i | \(-0.337968\pi\) |
−0.717327 | + | 0.696737i | \(0.754635\pi\) | |||||||
\(744\) | 5.67325 | + | 9.12187i | 0.207992 | + | 0.334424i | ||||
\(745\) | 3.70374 | − | 2.84198i | 0.135695 | − | 0.104122i | ||||
\(746\) | 5.85714 | + | 20.4383i | 0.214445 | + | 0.748301i | ||||
\(747\) | 13.6465 | + | 30.5614i | 0.499299 | + | 1.11818i | ||||
\(748\) | −1.35227 | − | 3.57264i | −0.0494441 | − | 0.130629i | ||||
\(749\) | 1.06861 | + | 0.937143i | 0.0390460 | + | 0.0342425i | ||||
\(750\) | −25.1199 | − | 1.69178i | −0.917250 | − | 0.0617751i | ||||
\(751\) | −25.6026 | − | 6.86021i | −0.934254 | − | 0.250333i | −0.240586 | − | 0.970628i | \(-0.577340\pi\) |
−0.693668 | + | 0.720295i | \(0.744006\pi\) | |||||||
\(752\) | 3.53056 | + | 50.9470i | 0.128746 | + | 1.85785i | ||||
\(753\) | 24.0446 | − | 23.1435i | 0.876236 | − | 0.843397i | ||||
\(754\) | 31.5556 | − | 28.6541i | 1.14919 | − | 1.04352i | ||||
\(755\) | 3.97958 | − | 20.0067i | 0.144832 | − | 0.728118i | ||||
\(756\) | −19.4067 | − | 23.1689i | −0.705814 | − | 0.842645i | ||||
\(757\) | −36.0676 | − | 24.0996i | −1.31090 | − | 0.875916i | −0.313616 | − | 0.949550i | \(-0.601540\pi\) |
−0.997285 | + | 0.0736341i | \(0.976540\pi\) | |||||||
\(758\) | −19.2310 | + | 11.5511i | −0.698501 | + | 0.419553i | ||||
\(759\) | 26.9209 | − | 61.6372i | 0.977167 | − | 2.23729i | ||||
\(760\) | 0.531657 | − | 39.2086i | 0.0192852 | − | 1.42225i | ||||
\(761\) | −17.0172 | − | 13.0577i | −0.616872 | − | 0.473343i | 0.252436 | − | 0.967614i | \(-0.418768\pi\) |
−0.869308 | + | 0.494271i | \(0.835435\pi\) | |||||||
\(762\) | 18.6021 | − | 24.1527i | 0.673881 | − | 0.874960i | ||||
\(763\) | −12.8207 | + | 37.7686i | −0.464141 | + | 1.36732i | ||||
\(764\) | 0.324274 | + | 1.94151i | 0.0117318 | + | 0.0702414i | ||||
\(765\) | −1.40360 | + | 2.59180i | −0.0507474 | + | 0.0937067i | ||||
\(766\) | 12.9382 | + | 10.9565i | 0.467477 | + | 0.395874i | ||||
\(767\) | −17.2811 | + | 29.9317i | −0.623984 | + | 1.08077i | ||||
\(768\) | −5.09038 | − | 27.2413i | −0.183683 | − | 0.982986i | ||||
\(769\) | −5.45975 | − | 9.45656i | −0.196884 | − | 0.341012i | 0.750633 | − | 0.660720i | \(-0.229749\pi\) |
−0.947516 | + | 0.319707i | \(0.896415\pi\) | |||||||
\(770\) | 8.10486 | − | 44.7805i | 0.292079 | − | 1.61378i | ||||
\(771\) | 43.6320 | + | 22.5626i | 1.57137 | + | 0.812572i | ||||
\(772\) | −10.7483 | − | 4.02244i | −0.386838 | − | 0.144771i | ||||
\(773\) | 33.1749 | − | 6.59890i | 1.19322 | − | 0.237346i | 0.441764 | − | 0.897131i | \(-0.354353\pi\) |
0.751454 | + | 0.659786i | \(0.229353\pi\) | |||||||
\(774\) | −0.973224 | − | 2.49580i | −0.0349818 | − | 0.0897096i | ||||
\(775\) | 1.40132 | − | 0.580445i | 0.0503369 | − | 0.0208502i | ||||
\(776\) | −35.3727 | + | 19.7879i | −1.26981 | + | 0.710343i | ||||
\(777\) | −32.5431 | + | 23.9981i | −1.16748 | + | 0.860926i | ||||
\(778\) | 0.215134 | + | 12.4364i | 0.00771294 | + | 0.445868i | ||||
\(779\) | −3.28837 | + | 50.1708i | −0.117818 | + | 1.79756i | ||||
\(780\) | −28.2005 | − | 31.1684i | −1.00974 | − | 1.11601i | ||||
\(781\) | 17.5529 | + | 15.3935i | 0.628092 | + | 0.550822i | ||||
\(782\) | 4.64389 | + | 1.48732i | 0.166065 | + | 0.0531865i | ||||
\(783\) | −30.1511 | + | 6.25388i | −1.07751 | + | 0.223495i | ||||
\(784\) | −2.55909 | + | 5.23861i | −0.0913962 | + | 0.187093i | ||||
\(785\) | −4.92214 | − | 18.3697i | −0.175679 | − | 0.655642i | ||||
\(786\) | −34.5851 | + | 16.9783i | −1.23361 | + | 0.605595i | ||||
\(787\) | −1.41895 | + | 0.481669i | −0.0505801 | + | 0.0171696i | −0.346615 | − | 0.938008i | \(-0.612669\pi\) |
0.296035 | + | 0.955177i | \(0.404336\pi\) | |||||||
\(788\) | −3.49880 | + | 4.27959i | −0.124640 | + | 0.152454i | ||||
\(789\) | 7.81168 | + | 16.6338i | 0.278103 | + | 0.592179i | ||||
\(790\) | 22.3897 | + | 5.58610i | 0.796590 | + | 0.198744i | ||||
\(791\) | 4.18306 | + | 1.73268i | 0.148732 | + | 0.0616070i | ||||
\(792\) | −34.3485 | − | 19.2084i | −1.22052 | − | 0.682540i | ||||
\(793\) | 40.3859 | − | 16.7284i | 1.43414 | − | 0.594042i | ||||
\(794\) | 2.91361 | + | 19.5163i | 0.103400 | + | 0.692608i | ||||
\(795\) | −25.1561 | − | 29.8146i | −0.892193 | − | 1.05741i | ||||
\(796\) | 10.4505 | − | 19.6398i | 0.370410 | − | 0.696114i | ||||
\(797\) | 2.75931 | − | 5.59532i | 0.0977397 | − | 0.198196i | −0.842511 | − | 0.538679i | \(-0.818924\pi\) |
0.940251 | + | 0.340482i | \(0.110590\pi\) | |||||||
\(798\) | 22.9362 | + | 34.4603i | 0.811933 | + | 1.21988i | ||||
\(799\) | −2.62890 | + | 4.55339i | −0.0930038 | + | 0.161087i | ||||
\(800\) | −3.91214 | + | 0.0823044i | −0.138315 | + | 0.00290990i | ||||
\(801\) | −24.2339 | − | 0.925884i | −0.856263 | − | 0.0327145i | ||||
\(802\) | 12.9506 | − | 1.07407i | 0.457301 | − | 0.0379268i | ||||
\(803\) | 1.70331 | + | 25.9874i | 0.0601084 | + | 0.917076i | ||||
\(804\) | −23.9596 | − | 23.2281i | −0.844991 | − | 0.819193i | ||||
\(805\) | 38.3023 | + | 43.6754i | 1.34998 | + | 1.53935i | ||||
\(806\) | −14.6732 | − | 5.78258i | −0.516842 | − | 0.203683i | ||||
\(807\) | −1.89033 | − | 4.82207i | −0.0665428 | − | 0.169745i | ||||
\(808\) | −24.2226 | + | 20.6684i | −0.852147 | + | 0.727112i | ||||
\(809\) | 20.0471 | − | 48.3980i | 0.704819 | − | 1.70158i | −0.00773721 | − | 0.999970i | \(-0.502463\pi\) |
0.712557 | − | 0.701615i | \(-0.247537\pi\) | |||||||
\(810\) | 6.11364 | + | 29.7436i | 0.214812 | + | 1.04508i | ||||
\(811\) | −17.8995 | − | 11.9600i | −0.628535 | − | 0.419974i | 0.200090 | − | 0.979778i | \(-0.435877\pi\) |
−0.828625 | + | 0.559804i | \(0.810877\pi\) | |||||||
\(812\) | 20.1294 | + | 27.9799i | 0.706403 | + | 0.981902i | ||||
\(813\) | 2.85234 | − | 13.0339i | 0.100036 | − | 0.457120i | ||||
\(814\) | −28.4902 | + | 44.2778i | −0.998581 | + | 1.55194i | ||||
\(815\) | −1.35339 | + | 5.05092i | −0.0474072 | + | 0.176926i | ||||
\(816\) | 1.13220 | − | 2.61890i | 0.0396350 | − | 0.0916797i | ||||
\(817\) | 0.949643 | + | 3.54412i | 0.0332238 | + | 0.123993i | ||||
\(818\) | 2.98537 | + | 0.956139i | 0.104381 | + | 0.0334306i | ||||
\(819\) | 43.1580 | + | 10.3119i | 1.50806 | + | 0.360328i | ||||
\(820\) | 41.2641 | + | 1.27364i | 1.44101 | + | 0.0444776i | ||||
\(821\) | −11.8669 | − | 24.0637i | −0.414158 | − | 0.839830i | −0.999577 | − | 0.0290987i | \(-0.990736\pi\) |
0.585418 | − | 0.810732i | \(-0.300930\pi\) | |||||||
\(822\) | −19.4800 | − | 0.0350015i | −0.679444 | − | 0.00122082i | ||||
\(823\) | 7.22402 | + | 54.8719i | 0.251813 | + | 1.91271i | 0.387337 | + | 0.921938i | \(0.373395\pi\) |
−0.135523 | + | 0.990774i | \(0.543272\pi\) | |||||||
\(824\) | 3.47400 | + | 8.71952i | 0.121022 | + | 0.303759i | ||||
\(825\) | −3.46631 | + | 4.34311i | −0.120682 | + | 0.151208i | ||||
\(826\) | −22.4644 | − | 16.6282i | −0.781636 | − | 0.578569i | ||||
\(827\) | −2.16268 | − | 10.8725i | −0.0752037 | − | 0.378074i | 0.924793 | − | 0.380469i | \(-0.124238\pi\) |
−0.999997 | + | 0.00239516i | \(0.999238\pi\) | |||||||
\(828\) | 46.4811 | − | 19.0577i | 1.61533 | − | 0.662300i | ||||
\(829\) | 31.2265 | + | 46.7338i | 1.08454 | + | 1.62313i | 0.723112 | + | 0.690731i | \(0.242711\pi\) |
0.361429 | + | 0.932400i | \(0.382289\pi\) | |||||||
\(830\) | −35.4294 | + | 12.7142i | −1.22977 | + | 0.441317i | ||||
\(831\) | 15.4516 | − | 25.6205i | 0.536010 | − | 0.888764i | ||||
\(832\) | 29.8520 | + | 27.6468i | 1.03493 | + | 0.958481i | ||||
\(833\) | −0.519833 | + | 0.300126i | −0.0180111 | + | 0.0103987i | ||||
\(834\) | −9.56987 | − | 8.42302i | −0.331378 | − | 0.291665i | ||||
\(835\) | 0.636347 | + | 9.70878i | 0.0220217 | + | 0.335986i | ||||
\(836\) | 43.8735 | + | 31.3153i | 1.51740 | + | 1.08306i | ||||
\(837\) | 7.00971 | + | 8.98235i | 0.242291 | + | 0.310475i | ||||
\(838\) | 15.9783 | + | 1.82303i | 0.551962 | + | 0.0629755i | ||||
\(839\) | 1.79411 | + | 0.236199i | 0.0619396 | + | 0.00815451i | 0.161432 | − | 0.986884i | \(-0.448389\pi\) |
−0.0994927 | + | 0.995038i | \(0.531722\pi\) | |||||||
\(840\) | 27.6272 | − | 19.8004i | 0.953228 | − | 0.683178i | ||||
\(841\) | 6.06613 | − | 0.798621i | 0.209177 | − | 0.0275387i | ||||
\(842\) | 0.641302 | + | 37.0722i | 0.0221007 | + | 1.27759i | ||||
\(843\) | −17.0477 | − | 36.3005i | −0.587153 | − | 1.25025i | ||||
\(844\) | −5.11555 | + | 8.26087i | −0.176085 | + | 0.284351i | ||||
\(845\) | 30.1073 | + | 5.98872i | 1.03572 | + | 0.206018i | ||||
\(846\) | 9.45541 | + | 53.3354i | 0.325084 | + | 1.83371i | ||||
\(847\) | 21.6144 | + | 21.6144i | 0.742681 | + | 0.742681i | ||||
\(848\) | 26.8009 | + | 26.6013i | 0.920347 | + | 0.913492i | ||||
\(849\) | 34.8147 | + | 10.0448i | 1.19484 | + | 0.344736i | ||||
\(850\) | −0.338788 | − | 0.217990i | −0.0116203 | − | 0.00747701i | ||||
\(851\) | −21.6041 | − | 63.6435i | −0.740578 | − | 2.18167i | ||||
\(852\) | 1.41003 | + | 17.3805i | 0.0483068 | + | 0.595445i | ||||
\(853\) | −11.7238 | − | 23.7735i | −0.401416 | − | 0.813990i | −0.999917 | − | 0.0128688i | \(-0.995904\pi\) |
0.598502 | − | 0.801122i | \(-0.295763\pi\) | |||||||
\(854\) | 9.73823 | + | 33.9813i | 0.333235 | + | 1.16282i | ||||
\(855\) | −3.85045 | − | 41.4122i | −0.131683 | − | 1.41627i | ||||
\(856\) | 0.594528 | + | 1.24796i | 0.0203205 | + | 0.0426544i | ||||
\(857\) | 17.1923 | + | 2.26341i | 0.587278 | + | 0.0773166i | 0.418309 | − | 0.908305i | \(-0.362623\pi\) |
0.168969 | + | 0.985621i | \(0.445956\pi\) | |||||||
\(858\) | 57.2990 | − | 7.43885i | 1.95616 | − | 0.253958i | ||||
\(859\) | −36.2780 | + | 31.8150i | −1.23779 | + | 1.08551i | −0.244526 | + | 0.969643i | \(0.578632\pi\) |
−0.993264 | + | 0.115871i | \(0.963034\pi\) | |||||||
\(860\) | 2.88138 | − | 0.879940i | 0.0982541 | − | 0.0300057i | ||||
\(861\) | −36.6931 | + | 23.5168i | −1.25050 | + | 0.801450i | ||||
\(862\) | 21.1646 | + | 9.98593i | 0.720870 | + | 0.340122i | ||||
\(863\) | − | 52.3273i | − | 1.78124i | −0.454748 | − | 0.890620i | \(-0.650271\pi\) | ||
0.454748 | − | 0.890620i | \(-0.349729\pi\) | |||||||
\(864\) | −8.43349 | − | 28.1581i | −0.286913 | − | 0.957957i | ||||
\(865\) | − | 10.2391i | − | 0.348139i | ||||||
\(866\) | −4.10615 | + | 8.70275i | −0.139533 | + | 0.295732i | ||||
\(867\) | −24.5431 | + | 15.7298i | −0.833526 | + | 0.534211i | ||||
\(868\) | 5.99106 | − | 11.2591i | 0.203350 | − | 0.382157i | ||||
\(869\) | −23.8494 | + | 20.9154i | −0.809036 | + | 0.709506i | ||||
\(870\) | −4.45856 | − | 34.3428i | −0.151159 | − | 1.16433i | ||||
\(871\) | 48.5755 | + | 6.39509i | 1.64592 | + | 0.216689i | ||||
\(872\) | −25.9700 | + | 28.8154i | −0.879456 | + | 0.975814i | ||||
\(873\) | −35.0805 | + | 24.8494i | −1.18729 | + | 0.841025i | ||||
\(874\) | −66.1450 | + | 18.9556i | −2.23739 | + | 0.641182i | ||||
\(875\) | 13.2207 | + | 26.8089i | 0.446940 | + | 0.906306i | ||||
\(876\) | −12.5971 | + | 14.8216i | −0.425618 | + | 0.500774i | ||||
\(877\) | 8.08198 | + | 23.8087i | 0.272909 | + | 0.803964i | 0.993827 | + | 0.110943i | \(0.0353872\pi\) |
−0.720918 | + | 0.693021i | \(0.756279\pi\) | |||||||
\(878\) | 0.475178 | − | 0.738493i | 0.0160365 | − | 0.0249229i | ||||
\(879\) | 15.3653 | + | 4.43323i | 0.518259 | + | 0.149529i | ||||
\(880\) | 24.4517 | − | 36.8924i | 0.824268 | − | 1.24364i | ||||
\(881\) | 26.4346 | + | 26.4346i | 0.890605 | + | 0.890605i | 0.994580 | − | 0.103975i | \(-0.0331562\pi\) |
−0.103975 | + | 0.994580i | \(0.533156\pi\) | |||||||
\(882\) | −2.10965 | + | 5.81295i | −0.0710355 | + | 0.195732i | ||||
\(883\) | 14.8699 | + | 2.95781i | 0.500413 | + | 0.0995384i | 0.438842 | − | 0.898564i | \(-0.355389\pi\) |
0.0615713 | + | 0.998103i | \(0.480389\pi\) | |||||||
\(884\) | 0.958840 | + | 4.07776i | 0.0322493 | + | 0.137150i | ||||
\(885\) | 11.9368 | + | 25.4175i | 0.401250 | + | 0.854401i | ||||
\(886\) | 35.5858 | − | 0.615589i | 1.19553 | − | 0.0206811i | ||||
\(887\) | 27.4641 | − | 3.61571i | 0.922153 | − | 0.121404i | 0.345524 | − | 0.938410i | \(-0.387701\pi\) |
0.576629 | + | 0.817006i | \(0.304368\pi\) | |||||||
\(888\) | −38.2977 | + | 8.93268i | −1.28519 | + | 0.299761i | ||||
\(889\) | −35.8851 | − | 4.72437i | −1.20355 | − | 0.158450i | ||||
\(890\) | 3.09179 | − | 27.0987i | 0.103637 | − | 0.908349i | ||||
\(891\) | −38.3876 | − | 16.3942i | −1.28603 | − | 0.549228i | ||||
\(892\) | −6.24001 | − | 37.3606i | −0.208931 | − | 1.25092i | ||||
\(893\) | −4.85235 | − | 74.0326i | −0.162378 | − | 2.47741i | ||||
\(894\) | −3.16686 | + | 3.59805i | −0.105916 | + | 0.120337i | ||||
\(895\) | 3.11317 | − | 1.79739i | 0.104062 | − | 0.0600801i | ||||
\(896\) | −24.9492 | + | 21.4501i | −0.833494 | + | 0.716597i | ||||
\(897\) | −38.0910 | + | 63.1592i | −1.27182 | + | 2.10882i | ||||
\(898\) | −9.02840 | − | 25.1585i | −0.301282 | − | 0.839552i | ||||
\(899\) | −7.21927 | − | 10.8044i | −0.240776 | − | 0.360347i | ||||
\(900\) | −4.11678 | + | 0.526941i | −0.137226 | + | 0.0175647i | ||||
\(901\) | 0.758451 | + | 3.81299i | 0.0252677 | + | 0.127029i | ||||
\(902\) | −33.7637 | + | 45.6141i | −1.12421 | + | 1.51878i | ||||
\(903\) | −1.98398 | + | 2.48582i | −0.0660227 | + | 0.0827230i | ||||
\(904\) | 3.07126 | + | 3.15570i | 0.102149 | + | 0.104957i | ||||
\(905\) | 0.0384756 | + | 0.292251i | 0.00127897 | + | 0.00971476i | ||||
\(906\) | −0.0376315 | + | 20.9437i | −0.00125022 | + | 0.695809i | ||||
\(907\) | 16.4644 | + | 33.3864i | 0.546690 | + | 1.10858i | 0.978430 | + | 0.206580i | \(0.0662332\pi\) |
−0.431740 | + | 0.901998i | \(0.642100\pi\) | |||||||
\(908\) | 7.65215 | + | 8.13957i | 0.253945 | + | 0.270121i | ||||
\(909\) | −23.2217 | + | 24.5236i | −0.770215 | + | 0.813398i | ||||
\(910\) | −15.2213 | + | 47.5257i | −0.504580 | + | 1.57546i | ||||
\(911\) | −3.08015 | − | 11.4953i | −0.102050 | − | 0.380856i | 0.895944 | − | 0.444168i | \(-0.146501\pi\) |
−0.997994 | + | 0.0633115i | \(0.979834\pi\) | |||||||
\(912\) | 7.24711 | + | 39.6025i | 0.239976 | + | 1.31137i | ||||
\(913\) | 13.3923 | − | 49.9809i | 0.443222 | − | 1.65413i | ||||
\(914\) | −4.93011 | − | 3.17224i | −0.163074 | − | 0.104929i | ||||
\(915\) | 7.59263 | − | 34.6949i | 0.251004 | − | 1.14698i | ||||
\(916\) | 20.0350 | + | 3.26934i | 0.661976 | + | 0.108022i | ||||
\(917\) | 38.0336 | + | 25.4132i | 1.25598 | + | 0.839219i | ||||
\(918\) | 0.899467 | − | 2.88947i | 0.0296868 | − | 0.0953666i | ||||
\(919\) | 14.0991 | − | 34.0382i | 0.465086 | − | 1.12282i | −0.501197 | − | 0.865333i | \(-0.667107\pi\) |
0.966283 | − | 0.257483i | \(-0.0828932\pi\) | |||||||
\(920\) | 17.4337 | + | 53.7410i | 0.574771 | + | 1.77179i | ||||
\(921\) | 2.60878 | + | 6.65477i | 0.0859622 | + | 0.219282i | ||||
\(922\) | 1.74755 | − | 4.43438i | 0.0575525 | − | 0.146039i | ||||
\(923\) | −16.8803 | − | 19.2483i | −0.555623 | − | 0.633567i | ||||
\(924\) | 0.724205 | + | 46.7186i | 0.0238246 | + | 1.53693i | ||||
\(925\) | 0.363165 | + | 5.54082i | 0.0119408 | + | 0.182181i | ||||
\(926\) | 0.821090 | + | 9.90026i | 0.0269827 | + | 0.325343i | ||||
\(927\) | 4.64493 | + | 8.80542i | 0.152560 | + | 0.289208i | ||||
\(928\) | 7.23012 | + | 32.7340i | 0.237340 | + | 1.07455i | ||||
\(929\) | −14.6313 | + | 25.3421i | −0.480036 | + | 0.831447i | −0.999738 | − | 0.0229008i | \(-0.992710\pi\) |
0.519702 | + | 0.854348i | \(0.326043\pi\) | |||||||
\(930\) | −10.6672 | + | 7.09991i | −0.349792 | + | 0.232815i | ||||
\(931\) | 3.74618 | − | 7.59650i | 0.122776 | − | 0.248965i | ||||
\(932\) | −3.80367 | − | 12.4552i | −0.124593 | − | 0.407983i | ||||
\(933\) | −35.9557 | − | 42.6142i | −1.17714 | − | 1.39513i | ||||
\(934\) | −44.1213 | + | 6.58693i | −1.44369 | + | 0.215531i | ||||
\(935\) | 4.20989 | − | 1.74379i | 0.137678 | − | 0.0570281i | ||||
\(936\) | 34.5946 | + | 25.8000i | 1.13076 | + | 0.843298i | ||||
\(937\) | 11.3776 | + | 4.71274i | 0.371689 | + | 0.153959i | 0.560706 | − | 0.828015i | \(-0.310530\pi\) |
−0.189017 | + | 0.981974i | \(0.560530\pi\) | |||||||
\(938\) | −9.59093 | + | 38.4415i | −0.313155 | + | 1.25516i | ||||
\(939\) | −9.57978 | − | 20.3987i | −0.312624 | − | 0.665686i | ||||
\(940\) | −60.6142 | + | 6.08439i | −1.97702 | + | 0.198451i | ||||
\(941\) | 0.305858 | − | 0.103825i | 0.00997070 | − | 0.00338460i | −0.316450 | − | 0.948609i | \(-0.602491\pi\) |
0.326420 | + | 0.945225i | \(0.394158\pi\) | |||||||
\(942\) | 8.60461 | + | 17.5277i | 0.280353 | + | 0.571085i | ||||
\(943\) | −18.7495 | − | 69.9742i | −0.610568 | − | 2.27867i | ||||
\(944\) | −13.6791 | − | 23.4897i | −0.445217 | − | 0.764525i | ||||
\(945\) | 26.9101 | − | 23.9912i | 0.875385 | − | 0.780434i | ||||
\(946\) | −1.26320 | + | 3.94411i | −0.0410702 | + | 0.128234i | ||||
\(947\) | −19.1056 | − | 16.7552i | −0.620849 | − | 0.544470i | 0.290096 | − | 0.956997i | \(-0.406313\pi\) |
−0.910945 | + | 0.412528i | \(0.864646\pi\) | |||||||
\(948\) | −23.6632 | − | 1.18295i | −0.768544 | − | 0.0384204i | ||||
\(949\) | 1.86783 | − | 28.4976i | 0.0606323 | − | 0.925070i | ||||
\(950\) | 5.68381 | − | 0.0983226i | 0.184407 | − | 0.00319001i | ||||
\(951\) | 17.5622 | − | 12.9508i | 0.569493 | − | 0.419958i | ||||
\(952\) | −3.36415 | + | 0.396574i | −0.109033 | + | 0.0128530i | ||||
\(953\) | −25.2501 | + | 10.4589i | −0.817930 | + | 0.338798i | −0.752113 | − | 0.659034i | \(-0.770965\pi\) |
−0.0658171 | + | 0.997832i | \(0.520965\pi\) | |||||||
\(954\) | 31.2591 | + | 25.0405i | 1.01205 | + | 0.810716i | ||||
\(955\) | −2.30293 | + | 0.458081i | −0.0745210 | + | 0.0148231i | ||||
\(956\) | 15.4497 | + | 33.9293i | 0.499678 | + | 1.09735i | ||||
\(957\) | 42.2863 | + | 21.8667i | 1.36692 | + | 0.706850i | ||||
\(958\) | −14.2628 | − | 2.58143i | −0.460809 | − | 0.0834023i | ||||
\(959\) | 11.5640 | + | 20.0294i | 0.373420 | + | 0.646783i | ||||
\(960\) | 32.2924 | − | 7.07176i | 1.04223 | − | 0.228240i | ||||
\(961\) | 13.0960 | − | 22.6829i | 0.422450 | − | 0.731705i | ||||
\(962\) | 37.3125 | − | 44.0613i | 1.20300 | − | 1.42059i | ||||
\(963\) | 0.767437 | + | 1.24931i | 0.0247303 | + | 0.0402583i | ||||
\(964\) | 19.2310 | + | 13.7264i | 0.619389 | + | 0.442098i | ||||
\(965\) | 4.40040 | − | 12.9632i | 0.141654 | − | 0.417299i | ||||
\(966\) | −47.2532 | − | 36.3938i | −1.52035 | − | 1.17095i | ||||
\(967\) | −6.06666 | − | 4.65511i | −0.195091 | − | 0.149698i | 0.506597 | − | 0.862183i | \(-0.330903\pi\) |
−0.701688 | + | 0.712485i | \(0.747570\pi\) | |||||||
\(968\) | 11.0034 | + | 27.6178i | 0.353662 | + | 0.887670i | ||||
\(969\) | −1.65903 | + | 3.79846i | −0.0532957 | + | 0.122024i | ||||
\(970\) | −24.8948 | − | 41.4466i | −0.799324 | − | 1.33077i | ||||
\(971\) | −24.9570 | − | 16.6757i | −0.800908 | − | 0.535149i | 0.0864365 | − | 0.996257i | \(-0.472452\pi\) |
−0.887344 | + | 0.461108i | \(0.847452\pi\) | |||||||
\(972\) | −12.0625 | − | 28.7488i | −0.386906 | − | 0.922119i | ||||
\(973\) | −2.95290 | + | 14.8452i | −0.0946657 | + | 0.475917i | ||||
\(974\) | −10.3145 | − | 11.3590i | −0.330499 | − | 0.363966i | ||||
\(975\) | 4.39025 | − | 4.22572i | 0.140601 | − | 0.135331i | ||||
\(976\) | −4.36000 | + | 34.1020i | −0.139560 | + | 1.09158i | ||||
\(977\) | 31.5941 | + | 8.46562i | 1.01079 | + | 0.270839i | 0.725957 | − | 0.687740i | \(-0.241397\pi\) |
0.284828 | + | 0.958579i | \(0.408064\pi\) | |||||||
\(978\) | 0.360764 | − | 5.35670i | 0.0115360 | − | 0.171289i | ||||
\(979\) | 28.1886 | + | 24.7207i | 0.900910 | + | 0.790077i | ||||
\(980\) | −6.34017 | − | 2.85842i | −0.202529 | − | 0.0913089i | ||||
\(981\) | −24.1481 | + | 33.3127i | −0.770989 | + | 1.06359i | ||||
\(982\) | 38.7239 | − | 11.0974i | 1.23573 | − | 0.354131i | ||||
\(983\) | 21.5057 | − | 16.5019i | 0.685926 | − | 0.526330i | −0.205976 | − | 0.978557i | \(-0.566037\pi\) |
0.891903 | + | 0.452227i | \(0.149370\pi\) | |||||||
\(984\) | −41.8204 | + | 6.90768i | −1.33319 | + | 0.220209i | ||||
\(985\) | −5.23131 | − | 4.01413i | −0.166684 | − | 0.127901i | ||||
\(986\) | −1.26542 | + | 3.21099i | −0.0402992 | + | 0.102259i | ||||
\(987\) | 49.1520 | − | 41.4721i | 1.56453 | − | 1.32007i | ||||
\(988\) | −43.2173 | − | 40.3261i | −1.37493 | − | 1.28294i | ||||
\(989\) | −2.93708 | − | 4.39565i | −0.0933936 | − | 0.139773i | ||||
\(990\) | 21.6381 | − | 41.6605i | 0.687703 | − | 1.32406i | ||||
\(991\) | 26.5285 | 0.842704 | 0.421352 | − | 0.906897i | \(-0.361556\pi\) | ||||
0.421352 | + | 0.906897i | \(0.361556\pi\) | |||||||
\(992\) | 9.67974 | − | 7.75639i | 0.307332 | − | 0.246266i | ||||
\(993\) | 21.0893 | − | 34.9683i | 0.669247 | − | 1.10969i | ||||
\(994\) | 17.0124 | − | 11.7980i | 0.539600 | − | 0.374209i | ||||
\(995\) | 23.8011 | + | 11.7374i | 0.754546 | + | 0.372101i | ||||
\(996\) | 33.1663 | − | 19.8402i | 1.05091 | − | 0.628662i | ||||
\(997\) | 11.8696 | − | 34.9666i | 0.375913 | − | 1.10740i | −0.580218 | − | 0.814461i | \(-0.697033\pi\) |
0.956130 | − | 0.292941i | \(-0.0946341\pi\) | |||||||
\(998\) | 24.8095 | + | 31.1999i | 0.785332 | + | 0.987615i | ||||
\(999\) | −39.3867 | + | 13.7298i | −1.24614 | + | 0.434391i |
(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 | 576.2.bl.a.83.11 | ✓ | 1504 | |
9.5 | odd | 6 | inner | 576.2.bl.a.275.45 | yes | 1504 | |
64.27 | odd | 16 | inner | 576.2.bl.a.155.45 | yes | 1504 | |
576.347 | even | 48 | inner | 576.2.bl.a.347.11 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bl.a.83.11 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bl.a.155.45 | yes | 1504 | 64.27 | odd | 16 | inner | |
576.2.bl.a.275.45 | yes | 1504 | 9.5 | odd | 6 | inner | |
576.2.bl.a.347.11 | yes | 1504 | 576.347 | even | 48 | inner |