Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 131.20 | ||
Character | \(\chi\) | \(=\) | 648.131 |
Dual form | 648.2.bb.b.371.20 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{47}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.14312 | + | 0.832636i | −0.808306 | + | 0.588763i | ||||
\(3\) | 1.73188 | + | 0.0244920i | 0.999900 | + | 0.0141405i | ||||
\(4\) | 0.613434 | − | 1.90360i | 0.306717 | − | 0.951801i | ||||
\(5\) | 0.0414453 | − | 0.711588i | 0.0185349 | − | 0.318232i | −0.976279 | − | 0.216517i | \(-0.930530\pi\) |
0.994814 | − | 0.101714i | \(-0.0324328\pi\) | |||||||
\(6\) | −2.00013 | + | 1.41403i | −0.816550 | + | 0.577274i | ||||
\(7\) | 0.543909 | + | 2.29493i | 0.205578 | + | 0.867403i | 0.973834 | + | 0.227260i | \(0.0729767\pi\) |
−0.768256 | + | 0.640143i | \(0.778875\pi\) | |||||||
\(8\) | 0.883781 | + | 2.68681i | 0.312464 | + | 0.949930i | ||||
\(9\) | 2.99880 | + | 0.0848343i | 0.999600 | + | 0.0282781i | ||||
\(10\) | 0.545117 | + | 0.847937i | 0.172381 | + | 0.268141i | ||||
\(11\) | 0.518686 | + | 0.788623i | 0.156390 | + | 0.237779i | 0.905180 | − | 0.425028i | \(-0.139736\pi\) |
−0.748791 | + | 0.662806i | \(0.769365\pi\) | |||||||
\(12\) | 1.10901 | − | 3.28178i | 0.320145 | − | 0.947369i | ||||
\(13\) | 0.389588 | + | 3.33313i | 0.108052 | + | 0.924445i | 0.933158 | + | 0.359467i | \(0.117041\pi\) |
−0.825106 | + | 0.564978i | \(0.808884\pi\) | |||||||
\(14\) | −2.53260 | − | 2.17050i | −0.676865 | − | 0.580090i | ||||
\(15\) | 0.0892063 | − | 1.23137i | 0.0230330 | − | 0.317938i | ||||
\(16\) | −3.24740 | − | 2.33547i | −0.811850 | − | 0.583867i | ||||
\(17\) | 0.293271 | − | 0.349507i | 0.0711288 | − | 0.0847679i | −0.729307 | − | 0.684187i | \(-0.760157\pi\) |
0.800435 | + | 0.599419i | \(0.204602\pi\) | |||||||
\(18\) | −3.49862 | + | 2.39993i | −0.824632 | + | 0.565670i | ||||
\(19\) | 1.44381 | − | 1.21150i | 0.331232 | − | 0.277937i | −0.461970 | − | 0.886896i | \(-0.652857\pi\) |
0.793202 | + | 0.608959i | \(0.208413\pi\) | |||||||
\(20\) | −1.32916 | − | 0.515407i | −0.297208 | − | 0.115249i | ||||
\(21\) | 0.885776 | + | 3.98786i | 0.193292 | + | 0.870223i | ||||
\(22\) | −1.24955 | − | 0.469612i | −0.266406 | − | 0.100122i | ||||
\(23\) | −5.49458 | − | 1.30224i | −1.14570 | − | 0.271536i | −0.386434 | − | 0.922317i | \(-0.626293\pi\) |
−0.759265 | + | 0.650781i | \(0.774441\pi\) | |||||||
\(24\) | 1.46480 | + | 4.67487i | 0.299000 | + | 0.954253i | ||||
\(25\) | 4.46155 | + | 0.521481i | 0.892311 | + | 0.104296i | ||||
\(26\) | −3.22063 | − | 3.48578i | −0.631618 | − | 0.683617i | ||||
\(27\) | 5.19148 | + | 0.220369i | 0.999100 | + | 0.0424101i | ||||
\(28\) | 4.70229 | + | 0.372403i | 0.888649 | + | 0.0703775i | ||||
\(29\) | −4.29178 | + | 5.76486i | −0.796963 | + | 1.07051i | 0.198934 | + | 0.980013i | \(0.436252\pi\) |
−0.995897 | + | 0.0904946i | \(0.971155\pi\) | |||||||
\(30\) | 0.923308 | + | 1.48187i | 0.168572 | + | 0.270552i | ||||
\(31\) | 4.14611 | − | 1.24126i | 0.744663 | − | 0.222937i | 0.108076 | − | 0.994143i | \(-0.465531\pi\) |
0.636587 | + | 0.771205i | \(0.280346\pi\) | |||||||
\(32\) | 5.65675 | − | 0.0341902i | 0.999982 | − | 0.00604404i | ||||
\(33\) | 0.878985 | + | 1.37850i | 0.153012 | + | 0.239966i | ||||
\(34\) | −0.0442311 | + | 0.643716i | −0.00758558 | + | 0.110396i | ||||
\(35\) | 1.65559 | − | 0.291925i | 0.279845 | − | 0.0493443i | ||||
\(36\) | 2.00106 | − | 5.65648i | 0.333509 | − | 0.942747i | ||||
\(37\) | 6.12087 | + | 1.07927i | 1.00627 | + | 0.177432i | 0.652408 | − | 0.757868i | \(-0.273759\pi\) |
0.353857 | + | 0.935300i | \(0.384870\pi\) | |||||||
\(38\) | −0.641703 | + | 2.58705i | −0.104098 | + | 0.419675i | ||||
\(39\) | 0.593083 | + | 5.78212i | 0.0949693 | + | 0.925881i | ||||
\(40\) | 1.94853 | − | 0.517532i | 0.308089 | − | 0.0818291i | ||||
\(41\) | −1.75237 | − | 0.755897i | −0.273674 | − | 0.118051i | 0.254820 | − | 0.966988i | \(-0.417984\pi\) |
−0.528494 | + | 0.848937i | \(0.677243\pi\) | |||||||
\(42\) | −4.33299 | − | 3.82106i | −0.668594 | − | 0.589603i | ||||
\(43\) | 2.02746 | + | 1.01823i | 0.309184 | + | 0.155278i | 0.596625 | − | 0.802520i | \(-0.296508\pi\) |
−0.287441 | + | 0.957798i | \(0.592804\pi\) | |||||||
\(44\) | 1.81940 | − | 0.503603i | 0.274285 | − | 0.0759210i | ||||
\(45\) | 0.184653 | − | 2.13039i | 0.0275265 | − | 0.317580i | ||||
\(46\) | 7.36524 | − | 3.08637i | 1.08595 | − | 0.455061i | ||||
\(47\) | 1.07637 | − | 3.59531i | 0.157004 | − | 0.524430i | −0.842903 | − | 0.538066i | \(-0.819155\pi\) |
0.999907 | + | 0.0136356i | \(0.00434047\pi\) | |||||||
\(48\) | −5.56690 | − | 4.12428i | −0.803512 | − | 0.595288i | ||||
\(49\) | 1.28455 | − | 0.645127i | 0.183508 | − | 0.0921609i | ||||
\(50\) | −5.53428 | + | 3.11874i | −0.782666 | + | 0.441056i | ||||
\(51\) | 0.516470 | − | 0.598121i | 0.0723203 | − | 0.0837537i | ||||
\(52\) | 6.58395 | + | 1.30304i | 0.913029 | + | 0.180699i | ||||
\(53\) | 4.06404 | − | 7.03912i | 0.558238 | − | 0.966897i | −0.439405 | − | 0.898289i | \(-0.644811\pi\) |
0.997644 | − | 0.0686082i | \(-0.0218558\pi\) | |||||||
\(54\) | −6.11795 | + | 4.07070i | −0.832548 | + | 0.553953i | ||||
\(55\) | 0.582672 | − | 0.336406i | 0.0785674 | − | 0.0453609i | ||||
\(56\) | −5.68534 | + | 3.48960i | −0.759736 | + | 0.466317i | ||||
\(57\) | 2.53017 | − | 2.06280i | 0.335129 | − | 0.273225i | ||||
\(58\) | 0.105975 | − | 10.1634i | 0.0139152 | − | 1.33452i | ||||
\(59\) | −2.35937 | + | 3.58725i | −0.307164 | + | 0.467020i | −0.955775 | − | 0.294100i | \(-0.904980\pi\) |
0.648611 | + | 0.761120i | \(0.275350\pi\) | |||||||
\(60\) | −2.28931 | − | 0.925175i | −0.295549 | − | 0.119440i | ||||
\(61\) | −3.59330 | + | 3.39010i | −0.460075 | + | 0.434058i | −0.881057 | − | 0.473011i | \(-0.843167\pi\) |
0.420982 | + | 0.907069i | \(0.361686\pi\) | |||||||
\(62\) | −3.70597 | + | 4.87111i | −0.470658 | + | 0.618631i | ||||
\(63\) | 1.43639 | + | 6.92818i | 0.180968 | + | 0.872869i | ||||
\(64\) | −6.43786 | + | 4.74910i | −0.804733 | + | 0.593637i | ||||
\(65\) | 2.38796 | − | 0.139083i | 0.296190 | − | 0.0172511i | ||||
\(66\) | −2.15257 | − | 0.843915i | −0.264964 | − | 0.103879i | ||||
\(67\) | −2.22805 | − | 2.99279i | −0.272200 | − | 0.365628i | 0.644913 | − | 0.764256i | \(-0.276894\pi\) |
−0.917113 | + | 0.398628i | \(0.869486\pi\) | |||||||
\(68\) | −0.485420 | − | 0.772671i | −0.0588658 | − | 0.0937002i | ||||
\(69\) | −9.48404 | − | 2.38989i | −1.14174 | − | 0.287709i | ||||
\(70\) | −1.64946 | + | 1.71221i | −0.197149 | + | 0.204648i | ||||
\(71\) | 0.189724 | − | 0.0690537i | 0.0225160 | − | 0.00819517i | −0.330738 | − | 0.943723i | \(-0.607297\pi\) |
0.353254 | + | 0.935528i | \(0.385075\pi\) | |||||||
\(72\) | 2.42235 | + | 8.13217i | 0.285477 | + | 0.958386i | ||||
\(73\) | 2.37149 | + | 0.863152i | 0.277562 | + | 0.101024i | 0.477051 | − | 0.878876i | \(-0.341706\pi\) |
−0.199489 | + | 0.979900i | \(0.563928\pi\) | |||||||
\(74\) | −7.89552 | + | 3.86272i | −0.917835 | + | 0.449032i | ||||
\(75\) | 7.71409 | + | 1.01241i | 0.890747 | + | 0.116903i | ||||
\(76\) | −1.42053 | − | 3.49161i | −0.162946 | − | 0.400515i | ||||
\(77\) | −1.52772 | + | 1.61929i | −0.174100 | + | 0.184535i | ||||
\(78\) | −5.49237 | − | 6.11582i | −0.621888 | − | 0.692480i | ||||
\(79\) | −12.5483 | + | 5.41280i | −1.41179 | + | 0.608988i | −0.959200 | − | 0.282729i | \(-0.908760\pi\) |
−0.452593 | + | 0.891717i | \(0.649501\pi\) | |||||||
\(80\) | −1.79648 | + | 2.21401i | −0.200852 | + | 0.247534i | ||||
\(81\) | 8.98561 | + | 0.508802i | 0.998401 | + | 0.0565336i | ||||
\(82\) | 2.63255 | − | 0.595005i | 0.290716 | − | 0.0657073i | ||||
\(83\) | −1.86976 | + | 0.806538i | −0.205233 | + | 0.0885290i | −0.496215 | − | 0.868200i | \(-0.665277\pi\) |
0.290982 | + | 0.956729i | \(0.406018\pi\) | |||||||
\(84\) | 8.13467 | + | 0.760124i | 0.887565 | + | 0.0829363i | ||||
\(85\) | −0.236550 | − | 0.223174i | −0.0256575 | − | 0.0242066i | ||||
\(86\) | −3.16543 | + | 0.524181i | −0.341337 | + | 0.0565239i | ||||
\(87\) | −7.57403 | + | 9.87892i | −0.812021 | + | 1.05913i | ||||
\(88\) | −1.66047 | + | 2.09058i | −0.177007 | + | 0.222856i | ||||
\(89\) | 1.88829 | − | 5.18804i | 0.200159 | − | 0.549931i | −0.798484 | − | 0.602016i | \(-0.794364\pi\) |
0.998643 | + | 0.0520848i | \(0.0165866\pi\) | |||||||
\(90\) | 1.56276 | + | 2.58904i | 0.164730 | + | 0.272909i | ||||
\(91\) | −7.43742 | + | 2.70700i | −0.779653 | + | 0.283771i | ||||
\(92\) | −5.84950 | + | 9.66065i | −0.609853 | + | 1.00719i | ||||
\(93\) | 7.21095 | − | 2.04817i | 0.747741 | − | 0.212385i | ||||
\(94\) | 1.76317 | + | 5.00608i | 0.181858 | + | 0.516338i | ||||
\(95\) | −0.802248 | − | 1.07761i | −0.0823089 | − | 0.110560i | ||||
\(96\) | 9.79764 | + | 0.0793318i | 0.999967 | + | 0.00809677i | ||||
\(97\) | 0.615679 | + | 10.5708i | 0.0625127 | + | 1.07330i | 0.873055 | + | 0.487622i | \(0.162135\pi\) |
−0.810542 | + | 0.585680i | \(0.800828\pi\) | |||||||
\(98\) | −0.931238 | + | 1.80702i | −0.0940693 | + | 0.182537i | ||||
\(99\) | 1.48853 | + | 2.40893i | 0.149603 | + | 0.242106i | ||||
\(100\) | 3.72956 | − | 8.17313i | 0.372956 | − | 0.817313i | ||||
\(101\) | 1.63782 | + | 1.73599i | 0.162969 | + | 0.172737i | 0.803712 | − | 0.595018i | \(-0.202855\pi\) |
−0.640743 | + | 0.767755i | \(0.721374\pi\) | |||||||
\(102\) | −0.0923688 | + | 1.11375i | −0.00914588 | + | 0.110278i | ||||
\(103\) | 9.05968 | − | 13.7746i | 0.892677 | − | 1.35725i | −0.0410095 | − | 0.999159i | \(-0.513057\pi\) |
0.933687 | − | 0.358091i | \(-0.116572\pi\) | |||||||
\(104\) | −8.61118 | + | 3.99251i | −0.844396 | + | 0.391498i | ||||
\(105\) | 2.87442 | − | 0.465029i | 0.280515 | − | 0.0453822i | ||||
\(106\) | 1.21535 | + | 11.4304i | 0.118046 | + | 1.11022i | ||||
\(107\) | −9.19604 | + | 5.30934i | −0.889015 | + | 0.513273i | −0.873620 | − | 0.486609i | \(-0.838234\pi\) |
−0.0153947 | + | 0.999881i | \(0.504900\pi\) | |||||||
\(108\) | 3.60412 | − | 9.74732i | 0.346807 | − | 0.937937i | ||||
\(109\) | −12.7353 | − | 7.35275i | −1.21982 | − | 0.704265i | −0.254943 | − | 0.966956i | \(-0.582057\pi\) |
−0.964880 | + | 0.262691i | \(0.915390\pi\) | |||||||
\(110\) | −0.385958 | + | 0.869704i | −0.0367997 | + | 0.0829231i | ||||
\(111\) | 10.5742 | + | 2.01908i | 1.00366 | + | 0.191643i | ||||
\(112\) | 3.59345 | − | 8.72284i | 0.339549 | − | 0.824231i | ||||
\(113\) | −1.98630 | − | 3.95504i | −0.186855 | − | 0.372059i | 0.780628 | − | 0.624996i | \(-0.214900\pi\) |
−0.967483 | + | 0.252938i | \(0.918603\pi\) | |||||||
\(114\) | −1.17471 | + | 4.46474i | −0.110022 | + | 0.418161i | ||||
\(115\) | −1.15438 | + | 3.85590i | −0.107647 | + | 0.359565i | ||||
\(116\) | 8.34128 | + | 11.7062i | 0.774468 | + | 1.08689i | ||||
\(117\) | 0.885531 | + | 10.0285i | 0.0818674 | + | 0.927131i | ||||
\(118\) | −0.289837 | − | 6.06514i | −0.0266816 | − | 0.558342i | ||||
\(119\) | 0.961608 | + | 0.482938i | 0.0881505 | + | 0.0442708i | ||||
\(120\) | 3.38729 | − | 0.848580i | 0.309215 | − | 0.0774644i | ||||
\(121\) | 4.00399 | − | 9.28228i | 0.363999 | − | 0.843844i | ||||
\(122\) | 1.28484 | − | 6.86720i | 0.116324 | − | 0.621727i | ||||
\(123\) | −3.01637 | − | 1.35204i | −0.271977 | − | 0.121909i | ||||
\(124\) | 0.180491 | − | 8.65397i | 0.0162086 | − | 0.777149i | ||||
\(125\) | 1.17487 | − | 6.66300i | 0.105083 | − | 0.595956i | ||||
\(126\) | −7.41061 | − | 6.72374i | −0.660190 | − | 0.598998i | ||||
\(127\) | 8.64831 | − | 1.52493i | 0.767413 | − | 0.135316i | 0.223781 | − | 0.974639i | \(-0.428160\pi\) |
0.543632 | + | 0.839324i | \(0.317049\pi\) | |||||||
\(128\) | 3.40496 | − | 10.7892i | 0.300958 | − | 0.953637i | ||||
\(129\) | 3.48637 | + | 1.81310i | 0.306958 | + | 0.159635i | ||||
\(130\) | −2.61392 | + | 2.14729i | −0.229256 | + | 0.188330i | ||||
\(131\) | −17.3025 | + | 5.18003i | −1.51173 | + | 0.452581i | −0.932069 | − | 0.362280i | \(-0.881998\pi\) |
−0.579656 | + | 0.814861i | \(0.696813\pi\) | |||||||
\(132\) | 3.16332 | − | 0.827618i | 0.275332 | − | 0.0720349i | ||||
\(133\) | 3.56560 | + | 2.65449i | 0.309177 | + | 0.230174i | ||||
\(134\) | 5.03883 | + | 1.56596i | 0.435289 | + | 0.135278i | ||||
\(135\) | 0.371974 | − | 3.68506i | 0.0320144 | − | 0.317159i | ||||
\(136\) | 1.19825 | + | 0.479075i | 0.102749 | + | 0.0410804i | ||||
\(137\) | 1.76201 | − | 15.0750i | 0.150539 | − | 1.28794i | −0.680920 | − | 0.732358i | \(-0.738420\pi\) |
0.831459 | − | 0.555586i | \(-0.187506\pi\) | |||||||
\(138\) | 12.8313 | − | 5.16483i | 1.09227 | − | 0.439660i | ||||
\(139\) | −20.1750 | − | 4.78156i | −1.71122 | − | 0.405566i | −0.745779 | − | 0.666193i | \(-0.767922\pi\) |
−0.965439 | + | 0.260627i | \(0.916071\pi\) | |||||||
\(140\) | 0.459885 | − | 3.33066i | 0.0388673 | − | 0.281492i | ||||
\(141\) | 1.95219 | − | 6.20028i | 0.164404 | − | 0.522157i | ||||
\(142\) | −0.159380 | + | 0.236907i | −0.0133748 | + | 0.0198808i | ||||
\(143\) | −2.42651 | + | 2.03609i | −0.202915 | + | 0.170266i | ||||
\(144\) | −9.54017 | − | 7.27909i | −0.795014 | − | 0.606591i | ||||
\(145\) | 3.92433 | + | 3.29290i | 0.325898 | + | 0.273461i | ||||
\(146\) | −3.42958 | + | 0.987906i | −0.283834 | + | 0.0817596i | ||||
\(147\) | 2.24049 | − | 1.08582i | 0.184792 | − | 0.0895568i | ||||
\(148\) | 5.80926 | − | 10.9896i | 0.477518 | − | 0.903343i | ||||
\(149\) | 12.4594 | − | 1.45629i | 1.02071 | − | 0.119304i | 0.410760 | − | 0.911743i | \(-0.365263\pi\) |
0.609951 | + | 0.792439i | \(0.291189\pi\) | |||||||
\(150\) | −9.66108 | + | 5.26573i | −0.788824 | + | 0.429945i | ||||
\(151\) | −10.8137 | − | 16.4415i | −0.880008 | − | 1.33799i | −0.940491 | − | 0.339817i | \(-0.889635\pi\) |
0.0604838 | − | 0.998169i | \(-0.480736\pi\) | |||||||
\(152\) | 4.53107 | + | 2.80853i | 0.367518 | + | 0.227802i | ||||
\(153\) | 0.909112 | − | 1.02322i | 0.0734974 | − | 0.0827227i | ||||
\(154\) | 0.398084 | − | 3.12307i | 0.0320785 | − | 0.251664i | ||||
\(155\) | −0.711431 | − | 3.00176i | −0.0571435 | − | 0.241107i | ||||
\(156\) | 11.3707 | + | 2.41796i | 0.910383 | + | 0.193591i | ||||
\(157\) | 2.19787 | + | 0.128011i | 0.175409 | + | 0.0102164i | 0.145625 | − | 0.989340i | \(-0.453481\pi\) |
0.0297846 | + | 0.999556i | \(0.490518\pi\) | |||||||
\(158\) | 9.83727 | − | 16.6356i | 0.782611 | − | 1.32346i | ||||
\(159\) | 7.21081 | − | 12.0914i | 0.571855 | − | 0.958907i | ||||
\(160\) | 0.210116 | − | 4.02669i | 0.0166111 | − | 0.318338i | ||||
\(161\) | − | 13.3180i | − | 1.04960i | ||||||
\(162\) | −10.6952 | + | 6.90012i | −0.840298 | + | 0.542125i | ||||
\(163\) | −22.7277 | −1.78017 | −0.890085 | − | 0.455794i | \(-0.849355\pi\) | ||||
−0.890085 | + | 0.455794i | \(0.849355\pi\) | |||||||
\(164\) | −2.51389 | + | 2.87211i | −0.196302 | + | 0.224274i | ||||
\(165\) | 1.01736 | − | 0.568342i | 0.0792010 | − | 0.0442454i | ||||
\(166\) | 1.46581 | − | 2.47880i | 0.113769 | − | 0.192392i | ||||
\(167\) | 0.622575 | − | 10.6892i | 0.0481763 | − | 0.827155i | −0.884522 | − | 0.466498i | \(-0.845515\pi\) |
0.932698 | − | 0.360657i | \(-0.117448\pi\) | |||||||
\(168\) | −9.93178 | + | 5.90431i | −0.766254 | + | 0.455527i | ||||
\(169\) | 1.69157 | − | 0.400910i | 0.130121 | − | 0.0308393i | ||||
\(170\) | 0.456227 | + | 0.0581533i | 0.0349910 | + | 0.00446015i | ||||
\(171\) | 4.43247 | − | 3.51056i | 0.338959 | − | 0.268459i | ||||
\(172\) | 3.18201 | − | 3.23485i | 0.242626 | − | 0.246655i | ||||
\(173\) | 8.78109 | − | 5.77541i | 0.667614 | − | 0.439096i | −0.169938 | − | 0.985455i | \(-0.554357\pi\) |
0.837551 | + | 0.546358i | \(0.183986\pi\) | |||||||
\(174\) | 0.432457 | − | 17.5992i | 0.0327845 | − | 1.33419i | ||||
\(175\) | 1.22992 | + | 10.5226i | 0.0929729 | + | 0.795434i | ||||
\(176\) | 0.157424 | − | 3.77235i | 0.0118663 | − | 0.284351i | ||||
\(177\) | −4.17400 | + | 6.15489i | −0.313737 | + | 0.462630i | ||||
\(178\) | 2.16121 | + | 7.50280i | 0.161990 | + | 0.562358i | ||||
\(179\) | −8.47735 | + | 10.1029i | −0.633627 | + | 0.755127i | −0.983349 | − | 0.181727i | \(-0.941831\pi\) |
0.349723 | + | 0.936853i | \(0.386276\pi\) | |||||||
\(180\) | −3.94215 | − | 1.65836i | −0.293830 | − | 0.123607i | ||||
\(181\) | −2.67908 | − | 3.19280i | −0.199134 | − | 0.237319i | 0.657231 | − | 0.753689i | \(-0.271727\pi\) |
−0.856366 | + | 0.516370i | \(0.827283\pi\) | |||||||
\(182\) | 6.24789 | − | 9.28708i | 0.463125 | − | 0.688404i | ||||
\(183\) | −6.30619 | + | 5.78324i | −0.466167 | + | 0.427509i | ||||
\(184\) | −1.35714 | − | 15.9138i | −0.100050 | − | 1.17318i | ||||
\(185\) | 1.02168 | − | 4.31081i | 0.0751154 | − | 0.316937i | ||||
\(186\) | −6.53758 | + | 8.34540i | −0.479359 | + | 0.611914i | ||||
\(187\) | 0.427745 | + | 0.0499962i | 0.0312798 | + | 0.00365609i | ||||
\(188\) | −6.18376 | − | 4.25446i | −0.450997 | − | 0.310288i | ||||
\(189\) | 2.31796 | + | 12.0339i | 0.168607 | + | 0.875341i | ||||
\(190\) | 1.81432 | + | 0.563849i | 0.131624 | + | 0.0409059i | ||||
\(191\) | 6.97022 | − | 9.36262i | 0.504347 | − | 0.677456i | −0.474920 | − | 0.880029i | \(-0.657523\pi\) |
0.979267 | + | 0.202573i | \(0.0649304\pi\) | |||||||
\(192\) | −11.2659 | + | 8.06718i | −0.813046 | + | 0.582199i | ||||
\(193\) | −3.16762 | − | 10.5806i | −0.228010 | − | 0.761608i | −0.993057 | − | 0.117633i | \(-0.962469\pi\) |
0.765047 | − | 0.643975i | \(-0.222716\pi\) | |||||||
\(194\) | −9.50542 | − | 11.5710i | −0.682449 | − | 0.830751i | ||||
\(195\) | 4.13907 | − | 0.182389i | 0.296405 | − | 0.0130611i | ||||
\(196\) | −0.440076 | − | 2.84102i | −0.0314340 | − | 0.202930i | ||||
\(197\) | 4.10977 | + | 23.3077i | 0.292809 | + | 1.66060i | 0.675976 | + | 0.736923i | \(0.263722\pi\) |
−0.383167 | + | 0.923679i | \(0.625167\pi\) | |||||||
\(198\) | −3.70733 | − | 1.51428i | −0.263468 | − | 0.107615i | ||||
\(199\) | −9.61798 | − | 1.69591i | −0.681801 | − | 0.120220i | −0.177988 | − | 0.984033i | \(-0.556959\pi\) |
−0.503813 | + | 0.863813i | \(0.668070\pi\) | |||||||
\(200\) | 2.54192 | + | 12.4482i | 0.179741 | + | 0.880221i | ||||
\(201\) | −3.78541 | − | 5.23772i | −0.267003 | − | 0.369440i | ||||
\(202\) | −3.31767 | − | 0.620729i | −0.233430 | − | 0.0436743i | ||||
\(203\) | −15.5643 | − | 6.71378i | −1.09240 | − | 0.471215i | ||||
\(204\) | −0.821764 | − | 1.35006i | −0.0575350 | − | 0.0945232i | ||||
\(205\) | −0.610514 | + | 1.21563i | −0.0426402 | + | 0.0849035i | ||||
\(206\) | 1.11294 | + | 23.2894i | 0.0775419 | + | 1.62265i | ||||
\(207\) | −16.3667 | − | 4.37128i | −1.13756 | − | 0.303825i | ||||
\(208\) | 6.51928 | − | 11.7339i | 0.452031 | − | 0.813599i | ||||
\(209\) | 1.70430 | + | 0.510233i | 0.117889 | + | 0.0352936i | ||||
\(210\) | −2.89860 | + | 2.92493i | −0.200023 | + | 0.201840i | ||||
\(211\) | −12.4280 | + | 6.24157i | −0.855579 | + | 0.429688i | −0.821823 | − | 0.569742i | \(-0.807043\pi\) |
−0.0337553 | + | 0.999430i | \(0.510747\pi\) | |||||||
\(212\) | −10.9067 | − | 12.0543i | −0.749072 | − | 0.827895i | ||||
\(213\) | 0.330269 | − | 0.114946i | 0.0226297 | − | 0.00787596i | ||||
\(214\) | 6.09141 | − | 13.7262i | 0.416400 | − | 0.938300i | ||||
\(215\) | 0.808586 | − | 1.40051i | 0.0551451 | − | 0.0955141i | ||||
\(216\) | 3.99604 | + | 14.1433i | 0.271896 | + | 0.962327i | ||||
\(217\) | 5.10372 | + | 8.83990i | 0.346463 | + | 0.600091i | ||||
\(218\) | 20.6801 | − | 2.19885i | 1.40064 | − | 0.148925i | ||||
\(219\) | 4.08599 | + | 1.55296i | 0.276106 | + | 0.104939i | ||||
\(220\) | −0.282952 | − | 1.31554i | −0.0190766 | − | 0.0886935i | ||||
\(221\) | 1.27921 | + | 0.841349i | 0.0860489 | + | 0.0565953i | ||||
\(222\) | −13.7687 | + | 6.49639i | −0.924093 | + | 0.436009i | ||||
\(223\) | 3.43534 | − | 3.24107i | 0.230047 | − | 0.217038i | −0.562583 | − | 0.826741i | \(-0.690192\pi\) |
0.792630 | + | 0.609702i | \(0.208711\pi\) | |||||||
\(224\) | 3.15522 | + | 12.9633i | 0.210817 | + | 0.866144i | ||||
\(225\) | 13.3351 | + | 1.94231i | 0.889004 | + | 0.129487i | ||||
\(226\) | 5.56368 | + | 2.86721i | 0.370090 | + | 0.190724i | ||||
\(227\) | 18.5097 | − | 1.07807i | 1.22853 | − | 0.0715539i | 0.568431 | − | 0.822731i | \(-0.307551\pi\) |
0.660101 | + | 0.751177i | \(0.270513\pi\) | |||||||
\(228\) | −2.37467 | − | 6.08183i | −0.157266 | − | 0.402779i | ||||
\(229\) | 11.2603 | − | 8.38299i | 0.744102 | − | 0.553964i | −0.156985 | − | 0.987601i | \(-0.550177\pi\) |
0.901088 | + | 0.433637i | \(0.142770\pi\) | |||||||
\(230\) | −1.89097 | − | 5.36893i | −0.124687 | − | 0.354017i | ||||
\(231\) | −2.68548 | + | 2.76699i | −0.176692 | + | 0.182055i | ||||
\(232\) | −19.2821 | − | 6.43631i | −1.26593 | − | 0.422564i | ||||
\(233\) | −6.27857 | − | 17.2502i | −0.411323 | − | 1.13010i | −0.956488 | − | 0.291772i | \(-0.905755\pi\) |
0.545165 | − | 0.838329i | \(-0.316467\pi\) | |||||||
\(234\) | −9.36232 | − | 10.7264i | −0.612034 | − | 0.701205i | ||||
\(235\) | −2.51377 | − | 0.914937i | −0.163980 | − | 0.0596839i | ||||
\(236\) | 5.38137 | + | 6.69184i | 0.350298 | + | 0.435602i | ||||
\(237\) | −21.8647 | + | 9.06698i | −1.42026 | + | 0.588964i | ||||
\(238\) | −1.50134 | + | 0.248615i | −0.0973176 | + | 0.0161153i | ||||
\(239\) | 4.01932 | − | 4.26023i | 0.259988 | − | 0.275572i | −0.584210 | − | 0.811603i | \(-0.698596\pi\) |
0.844198 | + | 0.536031i | \(0.180077\pi\) | |||||||
\(240\) | −3.16551 | + | 3.79040i | −0.204333 | + | 0.244669i | ||||
\(241\) | 10.3318 | + | 23.9519i | 0.665533 | + | 1.54288i | 0.830765 | + | 0.556623i | \(0.187903\pi\) |
−0.165233 | + | 0.986255i | \(0.552837\pi\) | |||||||
\(242\) | 3.15174 | + | 13.9446i | 0.202602 | + | 0.896393i | ||||
\(243\) | 15.5495 | + | 1.10126i | 0.997501 | + | 0.0706458i | ||||
\(244\) | 4.24916 | + | 8.91982i | 0.272024 | + | 0.571033i | ||||
\(245\) | −0.405825 | − | 0.940809i | −0.0259272 | − | 0.0601061i | ||||
\(246\) | 4.57382 | − | 0.965999i | 0.291616 | − | 0.0615899i | ||||
\(247\) | 4.60058 | + | 4.34042i | 0.292728 | + | 0.276174i | ||||
\(248\) | 6.99929 | + | 10.0428i | 0.444455 | + | 0.637717i | ||||
\(249\) | −3.25796 | + | 1.35103i | −0.206465 | + | 0.0856181i | ||||
\(250\) | 4.20484 | + | 8.59482i | 0.265938 | + | 0.543584i | ||||
\(251\) | −3.60156 | + | 9.89522i | −0.227329 | + | 0.624580i | −0.999947 | − | 0.0102903i | \(-0.996724\pi\) |
0.772618 | + | 0.634871i | \(0.218947\pi\) | |||||||
\(252\) | 14.0696 | + | 1.51568i | 0.886303 | + | 0.0954786i | ||||
\(253\) | −1.82298 | − | 5.00861i | −0.114610 | − | 0.314888i | ||||
\(254\) | −8.61632 | + | 8.94407i | −0.540636 | + | 0.561201i | ||||
\(255\) | −0.404210 | − | 0.392303i | −0.0253126 | − | 0.0245670i | ||||
\(256\) | 5.09119 | + | 15.1684i | 0.318200 | + | 0.948024i | ||||
\(257\) | −3.11855 | + | 2.32168i | −0.194530 | + | 0.144822i | −0.690017 | − | 0.723793i | \(-0.742397\pi\) |
0.495487 | + | 0.868615i | \(0.334990\pi\) | |||||||
\(258\) | −5.49498 | + | 0.830290i | −0.342103 | + | 0.0516916i | ||||
\(259\) | 0.852334 | + | 14.6340i | 0.0529615 | + | 0.909313i | ||||
\(260\) | 1.20010 | − | 4.63105i | 0.0744269 | − | 0.287206i | ||||
\(261\) | −13.3592 | + | 16.9236i | −0.826917 | + | 1.04754i | ||||
\(262\) | 15.4657 | − | 20.3281i | 0.955474 | − | 1.25587i | ||||
\(263\) | 17.9374 | + | 19.0125i | 1.10607 | + | 1.17236i | 0.983689 | + | 0.179880i | \(0.0575710\pi\) |
0.122379 | + | 0.992483i | \(0.460948\pi\) | |||||||
\(264\) | −2.92694 | + | 3.57996i | −0.180141 | + | 0.220331i | ||||
\(265\) | −4.84051 | − | 3.18366i | −0.297350 | − | 0.195570i | ||||
\(266\) | −6.28613 | − | 0.0655461i | −0.385428 | − | 0.00401889i | ||||
\(267\) | 3.39736 | − | 8.93880i | 0.207915 | − | 0.547046i | ||||
\(268\) | −7.06385 | + | 2.40544i | −0.431493 | + | 0.146936i | ||||
\(269\) | −7.02683 | − | 12.1708i | −0.428433 | − | 0.742068i | 0.568301 | − | 0.822821i | \(-0.307601\pi\) |
−0.996734 | + | 0.0807525i | \(0.974268\pi\) | |||||||
\(270\) | 2.64310 | + | 4.52217i | 0.160854 | + | 0.275211i | ||||
\(271\) | −17.1852 | − | 9.92186i | −1.04392 | − | 0.602710i | −0.122982 | − | 0.992409i | \(-0.539246\pi\) |
−0.920942 | + | 0.389699i | \(0.872579\pi\) | |||||||
\(272\) | −1.76863 | + | 0.450064i | −0.107239 | + | 0.0272891i | ||||
\(273\) | −12.9470 | + | 4.50603i | −0.783588 | + | 0.272718i | ||||
\(274\) | 10.5378 | + | 18.6996i | 0.636612 | + | 1.12968i | ||||
\(275\) | 1.90289 | + | 3.78897i | 0.114749 | + | 0.228483i | ||||
\(276\) | −10.3672 | + | 16.5878i | −0.624034 | + | 0.998468i | ||||
\(277\) | −0.778879 | − | 0.233181i | −0.0467983 | − | 0.0140105i | 0.263319 | − | 0.964709i | \(-0.415183\pi\) |
−0.310117 | + | 0.950698i | \(0.600368\pi\) | |||||||
\(278\) | 27.0436 | − | 11.3325i | 1.62197 | − | 0.679680i | ||||
\(279\) | 12.5386 | − | 3.37057i | 0.750669 | − | 0.201791i | ||||
\(280\) | 2.24752 | + | 4.19025i | 0.134315 | + | 0.250415i | ||||
\(281\) | 9.00935 | − | 17.9391i | 0.537453 | − | 1.07016i | −0.447004 | − | 0.894532i | \(-0.647509\pi\) |
0.984457 | − | 0.175625i | \(-0.0561947\pi\) | |||||||
\(282\) | 2.93099 | + | 8.71311i | 0.174538 | + | 0.518858i | ||||
\(283\) | 3.42605 | − | 7.94247i | 0.203657 | − | 0.472131i | −0.785523 | − | 0.618832i | \(-0.787606\pi\) |
0.989181 | + | 0.146701i | \(0.0468655\pi\) | |||||||
\(284\) | −0.0150680 | − | 0.403518i | −0.000894121 | − | 0.0239444i | ||||
\(285\) | −1.36300 | − | 1.88593i | −0.0807373 | − | 0.111713i | ||||
\(286\) | 1.07847 | − | 4.34789i | 0.0637713 | − | 0.257096i | ||||
\(287\) | 0.781605 | − | 4.43270i | 0.0461367 | − | 0.261654i | ||||
\(288\) | 16.9664 | + | 0.377357i | 0.999753 | + | 0.0222360i | ||||
\(289\) | 2.91587 | + | 16.5367i | 0.171522 | + | 0.972749i | ||||
\(290\) | −7.22776 | − | 0.496635i | −0.424429 | − | 0.0291634i | ||||
\(291\) | 0.807380 | + | 18.3224i | 0.0473295 | + | 1.07408i | ||||
\(292\) | 3.09785 | − | 3.98489i | 0.181288 | − | 0.233198i | ||||
\(293\) | −8.61918 | − | 28.7901i | −0.503538 | − | 1.68193i | −0.710593 | − | 0.703604i | \(-0.751573\pi\) |
0.207055 | − | 0.978329i | \(-0.433612\pi\) | |||||||
\(294\) | −1.65705 | + | 3.10673i | −0.0966410 | + | 0.181188i | ||||
\(295\) | 2.45486 | + | 1.82757i | 0.142927 | + | 0.106405i | ||||
\(296\) | 2.50971 | + | 17.3994i | 0.145874 | + | 1.01132i | ||||
\(297\) | 2.51896 | + | 4.20842i | 0.146165 | + | 0.244197i | ||||
\(298\) | −13.0300 | + | 12.0388i | −0.754805 | + | 0.697391i | ||||
\(299\) | 2.19992 | − | 18.8215i | 0.127225 | − | 1.08848i | ||||
\(300\) | 6.65931 | − | 14.0635i | 0.384476 | − | 0.811957i | ||||
\(301\) | −1.23401 | + | 5.20670i | −0.0711271 | + | 0.300109i | ||||
\(302\) | 26.0511 | + | 9.79062i | 1.49907 | + | 0.563387i | ||||
\(303\) | 2.79399 | + | 3.04663i | 0.160510 | + | 0.175024i | ||||
\(304\) | −7.51803 | + | 0.562254i | −0.431189 | + | 0.0322475i | ||||
\(305\) | 2.26343 | + | 2.69745i | 0.129604 | + | 0.154456i | ||||
\(306\) | −0.187250 | + | 1.92662i | −0.0107043 | + | 0.110138i | ||||
\(307\) | −4.93722 | − | 4.14282i | −0.281782 | − | 0.236443i | 0.490931 | − | 0.871198i | \(-0.336657\pi\) |
−0.772713 | + | 0.634755i | \(0.781101\pi\) | |||||||
\(308\) | 2.14532 | + | 3.90149i | 0.122241 | + | 0.222308i | ||||
\(309\) | 16.0276 | − | 23.6340i | 0.911780 | − | 1.34449i | ||||
\(310\) | 3.31263 | + | 2.83900i | 0.188144 | + | 0.161245i | ||||
\(311\) | −17.1168 | + | 2.00067i | −0.970607 | + | 0.113448i | −0.586595 | − | 0.809881i | \(-0.699532\pi\) |
−0.384012 | + | 0.923328i | \(0.625458\pi\) | |||||||
\(312\) | −15.0113 | + | 6.70363i | −0.849847 | + | 0.379518i | ||||
\(313\) | −21.9114 | + | 14.4113i | −1.23850 | + | 0.814578i | −0.988137 | − | 0.153573i | \(-0.950922\pi\) |
−0.250368 | + | 0.968151i | \(0.580552\pi\) | |||||||
\(314\) | −2.61901 | + | 1.68369i | −0.147799 | + | 0.0950164i | ||||
\(315\) | 4.98954 | − | 0.734973i | 0.281129 | − | 0.0414111i | ||||
\(316\) | 2.60628 | + | 27.2073i | 0.146615 | + | 1.53053i | ||||
\(317\) | −9.83911 | + | 2.33191i | −0.552619 | + | 0.130973i | −0.497432 | − | 0.867503i | \(-0.665724\pi\) |
−0.0551871 | + | 0.998476i | \(0.517576\pi\) | |||||||
\(318\) | 1.82489 | + | 19.8258i | 0.102335 | + | 1.11178i | ||||
\(319\) | −6.77239 | − | 0.394447i | −0.379181 | − | 0.0220848i | ||||
\(320\) | 3.11258 | + | 4.77793i | 0.173999 | + | 0.267094i | ||||
\(321\) | −16.0565 | + | 8.96989i | −0.896184 | + | 0.500651i | ||||
\(322\) | 11.0890 | + | 15.2240i | 0.617968 | + | 0.848401i | ||||
\(323\) | − | 0.859919i | − | 0.0478472i | ||||||
\(324\) | 6.48063 | − | 16.7929i | 0.360035 | − | 0.932939i | ||||
\(325\) | 15.0741i | 0.836162i | ||||||||
\(326\) | 25.9804 | − | 18.9239i | 1.43892 | − | 1.04810i | ||||
\(327\) | −21.8759 | − | 13.0460i | −1.20974 | − | 0.721444i | ||||
\(328\) | 0.482240 | − | 5.37632i | 0.0266273 | − | 0.296857i | ||||
\(329\) | 8.83644 | + | 0.514664i | 0.487169 | + | 0.0283743i | ||||
\(330\) | −0.689733 | + | 1.49677i | −0.0379686 | + | 0.0823944i | ||||
\(331\) | −0.0117806 | + | 0.00279206i | −0.000647522 | + | 0.000153465i | −0.230940 | − | 0.972968i | \(-0.574180\pi\) |
0.230292 | + | 0.973122i | \(0.426032\pi\) | |||||||
\(332\) | 0.388350 | + | 4.05404i | 0.0213135 | + | 0.222495i | ||||
\(333\) | 18.2637 | + | 3.75579i | 1.00085 | + | 0.205816i | ||||
\(334\) | 8.18854 | + | 12.7374i | 0.448057 | + | 0.696959i | ||||
\(335\) | −2.22198 | + | 1.46142i | −0.121400 | + | 0.0798458i | ||||
\(336\) | 6.43705 | − | 15.0189i | 0.351170 | − | 0.819347i | ||||
\(337\) | 23.6128 | − | 2.75994i | 1.28627 | − | 0.150343i | 0.554665 | − | 0.832074i | \(-0.312846\pi\) |
0.731604 | + | 0.681730i | \(0.238772\pi\) | |||||||
\(338\) | −1.59985 | + | 1.86675i | −0.0870206 | + | 0.101538i | ||||
\(339\) | −3.34315 | − | 6.89829i | −0.181575 | − | 0.374664i | ||||
\(340\) | −0.569942 | + | 0.313395i | −0.0309094 | + | 0.0169962i | ||||
\(341\) | 3.12941 | + | 2.62589i | 0.169467 | + | 0.142200i | ||||
\(342\) | −2.14381 | + | 7.70361i | −0.115924 | + | 0.416563i | ||||
\(343\) | 12.7913 | + | 15.2441i | 0.690667 | + | 0.823105i | ||||
\(344\) | −0.943950 | + | 6.34727i | −0.0508944 | + | 0.342222i | ||||
\(345\) | −2.09369 | + | 6.64968i | −0.112720 | + | 0.358007i | ||||
\(346\) | −5.22899 | + | 13.9134i | −0.281112 | + | 0.747990i | ||||
\(347\) | −2.78402 | + | 11.7467i | −0.149454 | + | 0.630596i | 0.845818 | + | 0.533471i | \(0.179113\pi\) |
−0.995272 | + | 0.0971250i | \(0.969035\pi\) | |||||||
\(348\) | 14.1594 | + | 20.4780i | 0.759021 | + | 1.09774i | ||||
\(349\) | 1.18781 | − | 10.1624i | 0.0635823 | − | 0.543981i | −0.923480 | − | 0.383646i | \(-0.874668\pi\) |
0.987063 | − | 0.160335i | \(-0.0512575\pi\) | |||||||
\(350\) | −10.1674 | − | 11.0045i | −0.543472 | − | 0.588215i | ||||
\(351\) | 1.28801 | + | 17.3897i | 0.0687491 | + | 0.928196i | ||||
\(352\) | 2.96104 | + | 4.44331i | 0.157824 | + | 0.236829i | ||||
\(353\) | −15.6296 | − | 11.6358i | −0.831878 | − | 0.619311i | 0.0946604 | − | 0.995510i | \(-0.469823\pi\) |
−0.926539 | + | 0.376199i | \(0.877231\pi\) | |||||||
\(354\) | −0.353414 | − | 10.5112i | −0.0187837 | − | 0.558663i | ||||
\(355\) | −0.0412746 | − | 0.137867i | −0.00219063 | − | 0.00731722i | ||||
\(356\) | −8.71762 | − | 6.77707i | −0.462033 | − | 0.359184i | ||||
\(357\) | 1.65356 | + | 0.859941i | 0.0875156 | + | 0.0455129i | ||||
\(358\) | 1.27855 | − | 18.6074i | 0.0675736 | − | 0.983429i | ||||
\(359\) | 4.16284 | + | 23.6087i | 0.219706 | + | 1.24602i | 0.872550 | + | 0.488525i | \(0.162465\pi\) |
−0.652844 | + | 0.757493i | \(0.726424\pi\) | |||||||
\(360\) | 5.88715 | − | 1.38667i | 0.310280 | − | 0.0730842i | ||||
\(361\) | −2.68246 | + | 15.2130i | −0.141182 | + | 0.800685i | ||||
\(362\) | 5.72094 | + | 1.41905i | 0.300686 | + | 0.0745835i | ||||
\(363\) | 7.16175 | − | 15.9777i | 0.375895 | − | 0.838612i | ||||
\(364\) | 0.590685 | + | 15.8184i | 0.0309603 | + | 0.829112i | ||||
\(365\) | 0.712495 | − | 1.65175i | 0.0372937 | − | 0.0864565i | ||||
\(366\) | 2.39338 | − | 11.8617i | 0.125104 | − | 0.620020i | ||||
\(367\) | −8.50864 | + | 16.9421i | −0.444147 | + | 0.884370i | 0.554490 | + | 0.832190i | \(0.312913\pi\) |
−0.998638 | + | 0.0521799i | \(0.983383\pi\) | |||||||
\(368\) | 14.8018 | + | 17.0613i | 0.771595 | + | 0.889381i | ||||
\(369\) | −5.19087 | − | 2.41544i | −0.270226 | − | 0.125743i | ||||
\(370\) | 2.42143 | + | 5.77844i | 0.125884 | + | 0.300407i | ||||
\(371\) | 18.3648 | + | 5.49805i | 0.953451 | + | 0.285444i | ||||
\(372\) | 0.524541 | − | 14.9832i | 0.0271962 | − | 0.776842i | ||||
\(373\) | −7.91012 | − | 15.7503i | −0.409570 | − | 0.815522i | −0.999965 | − | 0.00840674i | \(-0.997324\pi\) |
0.590394 | − | 0.807115i | \(-0.298972\pi\) | |||||||
\(374\) | −0.530591 | + | 0.299005i | −0.0274362 | + | 0.0154612i | ||||
\(375\) | 2.19791 | − | 11.5107i | 0.113500 | − | 0.594411i | ||||
\(376\) | 10.6112 | − | 0.285483i | 0.547230 | − | 0.0147227i | ||||
\(377\) | −20.8871 | − | 12.0592i | −1.07574 | − | 0.621078i | ||||
\(378\) | −12.6696 | − | 11.8262i | −0.651654 | − | 0.608274i | ||||
\(379\) | −8.29673 | − | 14.3704i | −0.426175 | − | 0.738156i | 0.570355 | − | 0.821399i | \(-0.306806\pi\) |
−0.996529 | + | 0.0832424i | \(0.973472\pi\) | |||||||
\(380\) | −2.54346 | + | 0.866121i | −0.130477 | + | 0.0444311i | ||||
\(381\) | 15.0152 | − | 2.42918i | 0.769250 | − | 0.124451i | ||||
\(382\) | −0.172112 | + | 16.5062i | −0.00880601 | + | 0.844532i | ||||
\(383\) | 8.29535 | + | 5.45594i | 0.423873 | + | 0.278785i | 0.743472 | − | 0.668767i | \(-0.233178\pi\) |
−0.319599 | + | 0.947553i | \(0.603548\pi\) | |||||||
\(384\) | 6.16122 | − | 18.6021i | 0.314413 | − | 0.949286i | ||||
\(385\) | 1.08895 | + | 1.15422i | 0.0554979 | + | 0.0588244i | ||||
\(386\) | 12.4308 | + | 9.45738i | 0.632709 | + | 0.481368i | ||||
\(387\) | 5.99356 | + | 3.22546i | 0.304670 | + | 0.163959i | ||||
\(388\) | 20.5003 | + | 5.31247i | 1.04074 | + | 0.269700i | ||||
\(389\) | 1.56732 | + | 26.9099i | 0.0794664 | + | 1.36438i | 0.768590 | + | 0.639741i | \(0.220959\pi\) |
−0.689124 | + | 0.724644i | \(0.742004\pi\) | |||||||
\(390\) | −4.57958 | + | 3.65483i | −0.231896 | + | 0.185069i | ||||
\(391\) | −2.06654 | + | 1.53849i | −0.104510 | + | 0.0778046i | ||||
\(392\) | 2.86859 | + | 2.88119i | 0.144886 | + | 0.145522i | ||||
\(393\) | −30.0927 | + | 8.54740i | −1.51797 | + | 0.431159i | ||||
\(394\) | −24.1048 | − | 23.2214i | −1.21438 | − | 1.16988i | ||||
\(395\) | 3.33162 | + | 9.15354i | 0.167632 | + | 0.460565i | ||||
\(396\) | 5.49875 | − | 1.35586i | 0.276323 | − | 0.0681344i | ||||
\(397\) | −8.79618 | + | 24.1673i | −0.441468 | + | 1.21292i | 0.497059 | + | 0.867717i | \(0.334413\pi\) |
−0.938527 | + | 0.345206i | \(0.887809\pi\) | |||||||
\(398\) | 12.4066 | − | 6.06966i | 0.621885 | − | 0.304245i | ||||
\(399\) | 6.11018 | + | 4.68459i | 0.305891 | + | 0.234523i | ||||
\(400\) | −13.2705 | − | 12.1133i | −0.663527 | − | 0.605663i | ||||
\(401\) | 13.4346 | + | 12.6749i | 0.670890 | + | 0.632952i | 0.944354 | − | 0.328930i | \(-0.106688\pi\) |
−0.273464 | + | 0.961882i | \(0.588170\pi\) | |||||||
\(402\) | 8.68829 | + | 2.83546i | 0.433333 | + | 0.141420i | ||||
\(403\) | 5.75257 | + | 13.3360i | 0.286556 | + | 0.664311i | ||||
\(404\) | 4.30932 | − | 2.05284i | 0.214397 | − | 0.102133i | ||||
\(405\) | 0.734468 | − | 6.37296i | 0.0364960 | − | 0.316675i | ||||
\(406\) | 23.3820 | − | 5.28476i | 1.16043 | − | 0.262278i | ||||
\(407\) | 2.32367 | + | 5.38687i | 0.115180 | + | 0.267017i | ||||
\(408\) | 2.06348 | + | 0.859048i | 0.102158 | + | 0.0425292i | ||||
\(409\) | 11.9251 | − | 12.6399i | 0.589658 | − | 0.625001i | −0.361994 | − | 0.932181i | \(-0.617904\pi\) |
0.951652 | + | 0.307180i | \(0.0993853\pi\) | |||||||
\(410\) | −0.314291 | − | 1.89795i | −0.0155217 | − | 0.0937330i | ||||
\(411\) | 3.42081 | − | 26.0649i | 0.168736 | − | 1.28569i | ||||
\(412\) | −20.6638 | − | 25.6958i | −1.01803 | − | 1.26594i | ||||
\(413\) | −9.51577 | − | 3.46346i | −0.468241 | − | 0.170426i | ||||
\(414\) | 22.3487 | − | 8.63059i | 1.09838 | − | 0.424171i | ||||
\(415\) | 0.496429 | + | 1.36393i | 0.0243688 | + | 0.0669526i | ||||
\(416\) | 2.31776 | + | 18.8414i | 0.113638 | + | 0.923775i | ||||
\(417\) | −34.8235 | − | 8.77519i | −1.70531 | − | 0.429723i | ||||
\(418\) | −2.37305 | + | 0.835804i | −0.116070 | + | 0.0408805i | ||||
\(419\) | −19.0614 | + | 14.1907i | −0.931209 | + | 0.693259i | −0.951862 | − | 0.306528i | \(-0.900833\pi\) |
0.0206531 | + | 0.999787i | \(0.493425\pi\) | |||||||
\(420\) | 0.878038 | − | 5.75702i | 0.0428439 | − | 0.280914i | ||||
\(421\) | −34.1610 | + | 1.98965i | −1.66490 | + | 0.0969696i | −0.864546 | − | 0.502554i | \(-0.832394\pi\) |
−0.800357 | + | 0.599524i | \(0.795357\pi\) | |||||||
\(422\) | 9.00969 | − | 17.4829i | 0.438585 | − | 0.851052i | ||||
\(423\) | 3.53281 | − | 10.6903i | 0.171771 | − | 0.519780i | ||||
\(424\) | 22.5045 | + | 4.69824i | 1.09291 | + | 0.228167i | ||||
\(425\) | 1.49071 | − | 1.40641i | 0.0723099 | − | 0.0682209i | ||||
\(426\) | −0.281828 | + | 0.406391i | −0.0136546 | + | 0.0196897i | ||||
\(427\) | −9.73449 | − | 6.40247i | −0.471085 | − | 0.309837i | ||||
\(428\) | 4.46570 | + | 20.7625i | 0.215858 | + | 1.00359i | ||||
\(429\) | −4.25229 | + | 3.46682i | −0.205303 | + | 0.167380i | ||||
\(430\) | 0.241809 | + | 2.27421i | 0.0116610 | + | 0.109672i | ||||
\(431\) | −7.36676 | − | 12.7596i | −0.354844 | − | 0.614608i | 0.632247 | − | 0.774767i | \(-0.282133\pi\) |
−0.987091 | + | 0.160159i | \(0.948799\pi\) | |||||||
\(432\) | −16.3441 | − | 12.8401i | −0.786357 | − | 0.617772i | ||||
\(433\) | −11.3695 | + | 19.6926i | −0.546385 | + | 0.946366i | 0.452134 | + | 0.891950i | \(0.350663\pi\) |
−0.998518 | + | 0.0544157i | \(0.982670\pi\) | |||||||
\(434\) | −13.1946 | − | 5.85550i | −0.633360 | − | 0.281073i | ||||
\(435\) | 6.71581 | + | 5.79902i | 0.321998 | + | 0.278042i | ||||
\(436\) | −21.8090 | + | 19.7326i | −1.04446 | + | 0.945019i | ||||
\(437\) | −9.51077 | + | 4.77649i | −0.454962 | + | 0.228490i | ||||
\(438\) | −5.96382 | + | 1.62693i | −0.284962 | + | 0.0777379i | ||||
\(439\) | 15.2139 | + | 4.55473i | 0.726118 | + | 0.217386i | 0.628468 | − | 0.777835i | \(-0.283682\pi\) |
0.0976501 | + | 0.995221i | \(0.468867\pi\) | |||||||
\(440\) | 1.41881 | + | 1.26822i | 0.0676392 | + | 0.0604599i | ||||
\(441\) | 3.90685 | − | 1.82563i | 0.186040 | − | 0.0869348i | ||||
\(442\) | −2.16282 | + | 0.103355i | −0.102875 | + | 0.00491612i | ||||
\(443\) | 11.3286 | − | 22.5571i | 0.538237 | − | 1.07172i | −0.446028 | − | 0.895019i | \(-0.647162\pi\) |
0.984265 | − | 0.176699i | \(-0.0565419\pi\) | |||||||
\(444\) | 10.3301 | − | 18.8904i | 0.490244 | − | 0.896500i | ||||
\(445\) | −3.61348 | − | 1.55870i | −0.171296 | − | 0.0738897i | ||||
\(446\) | −1.22836 | + | 6.56531i | −0.0581644 | + | 0.310876i | ||||
\(447\) | 21.6138 | − | 2.21696i | 1.02230 | − | 0.104859i | ||||
\(448\) | −14.4005 | − | 12.1914i | −0.680358 | − | 0.575988i | ||||
\(449\) | −21.5039 | − | 3.79172i | −1.01483 | − | 0.178942i | −0.358592 | − | 0.933494i | \(-0.616743\pi\) |
−0.656241 | + | 0.754552i | \(0.727854\pi\) | |||||||
\(450\) | −16.8608 | + | 8.88297i | −0.794825 | + | 0.418747i | ||||
\(451\) | −0.312809 | − | 1.77403i | −0.0147296 | − | 0.0835358i | ||||
\(452\) | −8.74728 | + | 1.35496i | −0.411437 | + | 0.0637320i | ||||
\(453\) | −18.3253 | − | 28.7394i | −0.861000 | − | 1.35030i | ||||
\(454\) | −20.2611 | + | 16.6442i | −0.950902 | + | 0.781151i | ||||
\(455\) | 1.61802 | + | 5.40457i | 0.0758540 | + | 0.253370i | ||||
\(456\) | 7.77847 | + | 4.97501i | 0.364260 | + | 0.232976i | ||||
\(457\) | −3.40658 | + | 4.57583i | −0.159353 | + | 0.214048i | −0.874628 | − | 0.484795i | \(-0.838894\pi\) |
0.715275 | + | 0.698843i | \(0.246302\pi\) | |||||||
\(458\) | −5.89187 | + | 18.9585i | −0.275309 | + | 0.885872i | ||||
\(459\) | 1.59953 | − | 1.74983i | 0.0746598 | − | 0.0816751i | ||||
\(460\) | 6.63197 | + | 4.56282i | 0.309217 | + | 0.212743i | ||||
\(461\) | 37.3222 | + | 4.36234i | 1.73827 | + | 0.203175i | 0.925327 | − | 0.379169i | \(-0.123790\pi\) |
0.812943 | + | 0.582344i | \(0.197864\pi\) | |||||||
\(462\) | 0.765923 | − | 5.39902i | 0.0356340 | − | 0.251185i | ||||
\(463\) | 7.61952 | − | 32.1493i | 0.354109 | − | 1.49410i | −0.446428 | − | 0.894820i | \(-0.647304\pi\) |
0.800537 | − | 0.599284i | \(-0.204548\pi\) | |||||||
\(464\) | 27.4008 | − | 8.69749i | 1.27205 | − | 0.403771i | ||||
\(465\) | −1.15859 | − | 5.21611i | −0.0537284 | − | 0.241891i | ||||
\(466\) | 21.5403 | + | 14.4913i | 0.997836 | + | 0.671295i | ||||
\(467\) | 13.7977 | + | 16.4434i | 0.638480 | + | 0.760911i | 0.984129 | − | 0.177453i | \(-0.0567858\pi\) |
−0.345649 | + | 0.938364i | \(0.612341\pi\) | |||||||
\(468\) | 19.6334 | + | 4.46609i | 0.907554 | + | 0.206445i | ||||
\(469\) | 5.65640 | − | 6.74104i | 0.261188 | − | 0.311272i | ||||
\(470\) | 3.63534 | − | 1.04717i | 0.167686 | − | 0.0483026i | ||||
\(471\) | 3.80331 | + | 0.275530i | 0.175247 | + | 0.0126958i | ||||
\(472\) | −11.7234 | − | 3.16883i | −0.539614 | − | 0.145857i | ||||
\(473\) | 0.248615 | + | 2.12704i | 0.0114313 | + | 0.0978013i | ||||
\(474\) | 17.4444 | − | 28.5699i | 0.801247 | − | 1.31226i | ||||
\(475\) | 7.07339 | − | 4.65224i | 0.324550 | − | 0.213460i | ||||
\(476\) | 1.50920 | − | 1.53427i | 0.0691742 | − | 0.0703231i | ||||
\(477\) | 12.7844 | − | 20.7641i | 0.585357 | − | 0.950724i | ||||
\(478\) | −1.04733 | + | 8.21658i | −0.0479039 | + | 0.375818i | ||||
\(479\) | −24.0690 | + | 5.70446i | −1.09974 | + | 0.260644i | −0.740134 | − | 0.672460i | \(-0.765238\pi\) |
−0.359608 | + | 0.933103i | \(0.617090\pi\) | |||||||
\(480\) | 0.462517 | − | 6.96859i | 0.0211109 | − | 0.318071i | ||||
\(481\) | −1.21275 | + | 20.8222i | −0.0552968 | + | 0.949409i | ||||
\(482\) | −31.7537 | − | 18.7772i | −1.44634 | − | 0.855276i | ||||
\(483\) | 0.326184 | − | 23.0651i | 0.0148419 | − | 1.04950i | ||||
\(484\) | −15.2136 | − | 13.3161i | −0.691527 | − | 0.605275i | ||||
\(485\) | 7.54756 | 0.342717 | ||||||||
\(486\) | −18.6919 | + | 11.6882i | −0.847880 | + | 0.530188i | ||||
\(487\) | − | 23.6334i | − | 1.07093i | −0.844556 | − | 0.535467i | \(-0.820136\pi\) | ||
0.844556 | − | 0.535467i | \(-0.179864\pi\) | |||||||
\(488\) | −12.2842 | − | 6.65839i | −0.556082 | − | 0.301411i | ||||
\(489\) | −39.3616 | − | 0.556647i | −1.77999 | − | 0.0251724i | ||||
\(490\) | 1.24726 | + | 0.737550i | 0.0563454 | + | 0.0333191i | ||||
\(491\) | 18.1105 | + | 1.05482i | 0.817316 | + | 0.0476032i | 0.461708 | − | 0.887032i | \(-0.347237\pi\) |
0.355608 | + | 0.934635i | \(0.384274\pi\) | |||||||
\(492\) | −4.42409 | + | 4.91258i | −0.199453 | + | 0.221476i | ||||
\(493\) | 0.756204 | + | 3.19068i | 0.0340577 | + | 0.143701i | ||||
\(494\) | −8.87299 | − | 1.13100i | −0.399215 | − | 0.0508862i | ||||
\(495\) | 1.77585 | − | 0.959383i | 0.0798187 | − | 0.0431210i | ||||
\(496\) | −16.3630 | − | 5.65222i | −0.734720 | − | 0.253792i | ||||
\(497\) | 0.261666 | + | 0.397844i | 0.0117373 | + | 0.0178457i | ||||
\(498\) | 2.59931 | − | 4.25708i | 0.116478 | − | 0.190764i | ||||
\(499\) | 24.0467 | − | 2.81066i | 1.07648 | − | 0.125822i | 0.440670 | − | 0.897669i | \(-0.354741\pi\) |
0.635809 | + | 0.771847i | \(0.280667\pi\) | |||||||
\(500\) | −11.9630 | − | 6.32378i | −0.535001 | − | 0.282808i | ||||
\(501\) | 1.34002 | − | 18.4971i | 0.0598679 | − | 0.826392i | ||||
\(502\) | −4.12211 | − | 14.3102i | −0.183979 | − | 0.638695i | ||||
\(503\) | −23.9585 | − | 20.1036i | −1.06826 | − | 0.896374i | −0.0733639 | − | 0.997305i | \(-0.523373\pi\) |
−0.994893 | + | 0.100931i | \(0.967818\pi\) | |||||||
\(504\) | −17.3452 | + | 9.98229i | −0.772619 | + | 0.444647i | ||||
\(505\) | 1.30319 | − | 1.09350i | 0.0579911 | − | 0.0486603i | ||||
\(506\) | 6.25423 | + | 4.20754i | 0.278034 | + | 0.187048i | ||||
\(507\) | 2.93942 | − | 0.652898i | 0.130544 | − | 0.0289962i | ||||
\(508\) | 2.40230 | − | 17.3984i | 0.106585 | − | 0.771928i | ||||
\(509\) | 1.19761 | + | 0.283838i | 0.0530831 | + | 0.0125809i | 0.257072 | − | 0.966392i | \(-0.417242\pi\) |
−0.203989 | + | 0.978973i | \(0.565391\pi\) | |||||||
\(510\) | 0.788705 | + | 0.111888i | 0.0349245 | + | 0.00495450i | ||||
\(511\) | −0.691000 | + | 5.91189i | −0.0305681 | + | 0.261526i | ||||
\(512\) | −18.4496 | − | 13.1001i | −0.815364 | − | 0.578949i | ||||
\(513\) | 7.76247 | − | 5.97129i | 0.342721 | − | 0.263639i | ||||
\(514\) | 1.63176 | − | 5.25057i | 0.0719738 | − | 0.231593i | ||||
\(515\) | −9.42634 | − | 7.01765i | −0.415374 | − | 0.309235i | ||||
\(516\) | 5.59008 | − | 5.52444i | 0.246089 | − | 0.243200i | ||||
\(517\) | 3.39364 | − | 1.01599i | 0.149252 | − | 0.0446832i | ||||
\(518\) | −13.1591 | − | 16.0187i | −0.578179 | − | 0.703822i | ||||
\(519\) | 15.3492 | − | 9.78724i | 0.673756 | − | 0.429612i | ||||
\(520\) | 2.48413 | + | 6.29308i | 0.108936 | + | 0.275970i | ||||
\(521\) | 26.7357 | − | 4.71423i | 1.17131 | − | 0.206534i | 0.446051 | − | 0.895007i | \(-0.352830\pi\) |
0.725262 | + | 0.688473i | \(0.241719\pi\) | |||||||
\(522\) | 1.18000 | − | 30.4690i | 0.0516473 | − | 1.33359i | ||||
\(523\) | 3.38955 | − | 19.2231i | 0.148215 | − | 0.840568i | −0.816515 | − | 0.577325i | \(-0.804097\pi\) |
0.964729 | − | 0.263243i | \(-0.0847922\pi\) | |||||||
\(524\) | −0.753224 | + | 36.1147i | −0.0329047 | + | 1.57768i | ||||
\(525\) | 1.87234 | + | 18.2540i | 0.0817158 | + | 0.796669i | ||||
\(526\) | −36.3351 | − | 6.79823i | −1.58429 | − | 0.296417i | ||||
\(527\) | 0.782104 | − | 1.81312i | 0.0340690 | − | 0.0789808i | ||||
\(528\) | 0.365031 | − | 6.52939i | 0.0158860 | − | 0.284155i | ||||
\(529\) | 7.94102 | + | 3.98813i | 0.345262 | + | 0.173397i | ||||
\(530\) | 8.18410 | − | 0.391096i | 0.355495 | − | 0.0169881i | ||||
\(531\) | −7.37960 | + | 10.5573i | −0.320247 | + | 0.458147i | ||||
\(532\) | 7.24036 | − | 5.15914i | 0.313909 | − | 0.223677i | ||||
\(533\) | 1.83681 | − | 6.13536i | 0.0795609 | − | 0.265752i | ||||
\(534\) | 3.55919 | + | 13.0469i | 0.154021 | + | 0.564593i | ||||
\(535\) | 3.39693 | + | 6.76383i | 0.146862 | + | 0.292426i | ||||
\(536\) | 6.07195 | − | 8.63132i | 0.262268 | − | 0.372816i | ||||
\(537\) | −14.9292 | + | 17.2894i | −0.644241 | + | 0.746091i | ||||
\(538\) | 18.1664 | + | 8.06189i | 0.783207 | + | 0.347573i | ||||
\(539\) | 1.17504 | + | 0.678410i | 0.0506126 | + | 0.0292212i | ||||
\(540\) | −6.78670 | − | 2.96863i | −0.292053 | − | 0.127749i | ||||
\(541\) | 3.65797 | − | 2.11193i | 0.157268 | − | 0.0907990i | −0.419300 | − | 0.907848i | \(-0.637725\pi\) |
0.576569 | + | 0.817049i | \(0.304391\pi\) | |||||||
\(542\) | 27.9060 | − | 2.96715i | 1.19866 | − | 0.127450i | ||||
\(543\) | −4.56164 | − | 5.59516i | −0.195759 | − | 0.240111i | ||||
\(544\) | 1.64701 | − | 1.98710i | 0.0706151 | − | 0.0851963i | ||||
\(545\) | −5.75994 | + | 8.75756i | −0.246729 | + | 0.375133i | ||||
\(546\) | 11.0480 | − | 15.9311i | 0.472813 | − | 0.681787i | ||||
\(547\) | 3.30423 | + | 3.50228i | 0.141279 | + | 0.149747i | 0.794149 | − | 0.607723i | \(-0.207917\pi\) |
−0.652870 | + | 0.757470i | \(0.726435\pi\) | |||||||
\(548\) | −27.6159 | − | 12.6017i | −1.17969 | − | 0.538317i | ||||
\(549\) | −11.0632 | + | 9.86141i | −0.472165 | + | 0.420875i | ||||
\(550\) | −5.33006 | − | 2.74682i | −0.227275 | − | 0.117125i | ||||
\(551\) | 0.787615 | + | 13.5228i | 0.0335535 | + | 0.576092i | ||||
\(552\) | −1.96064 | − | 27.5939i | −0.0834505 | − | 1.17448i | ||||
\(553\) | −19.2471 | − | 25.8534i | −0.818472 | − | 1.09940i | ||||
\(554\) | 1.08451 | − | 0.381970i | 0.0460762 | − | 0.0162283i | ||||
\(555\) | 1.87500 | − | 7.44077i | 0.0795895 | − | 0.315843i | ||||
\(556\) | −21.4782 | + | 35.4719i | −0.910878 | + | 1.50435i | ||||
\(557\) | 19.6450 | − | 7.15021i | 0.832387 | − | 0.302964i | 0.109549 | − | 0.993981i | \(-0.465059\pi\) |
0.722838 | + | 0.691017i | \(0.242837\pi\) | |||||||
\(558\) | −11.5267 | + | 14.2931i | −0.487964 | + | 0.605075i | ||||
\(559\) | −2.60402 | + | 7.15447i | −0.110138 | + | 0.302602i | ||||
\(560\) | −6.05813 | − | 2.91857i | −0.256003 | − | 0.123332i | ||||
\(561\) | 0.739578 | + | 0.0970637i | 0.0312250 | + | 0.00409803i | ||||
\(562\) | 4.63800 | + | 28.0080i | 0.195642 | + | 1.18145i | ||||
\(563\) | 26.7299 | + | 25.2184i | 1.12653 | + | 1.06283i | 0.997463 | + | 0.0711930i | \(0.0226806\pi\) |
0.129070 | + | 0.991636i | \(0.458801\pi\) | |||||||
\(564\) | −10.6053 | − | 7.51965i | −0.446564 | − | 0.316634i | ||||
\(565\) | −2.89668 | + | 1.24951i | −0.121864 | + | 0.0525671i | ||||
\(566\) | 2.69682 | + | 11.9318i | 0.113356 | + | 0.501532i | ||||
\(567\) | 3.71968 | + | 20.8981i | 0.156212 | + | 0.877638i | ||||
\(568\) | 0.353208 | + | 0.448722i | 0.0148203 | + | 0.0188280i | ||||
\(569\) | −2.64670 | + | 1.14167i | −0.110955 | + | 0.0478614i | −0.450834 | − | 0.892608i | \(-0.648873\pi\) |
0.339879 | + | 0.940469i | \(0.389614\pi\) | |||||||
\(570\) | 3.12837 | + | 1.02095i | 0.131033 | + | 0.0427631i | ||||
\(571\) | −2.87291 | + | 3.04511i | −0.120228 | + | 0.127434i | −0.784691 | − | 0.619887i | \(-0.787179\pi\) |
0.664464 | + | 0.747321i | \(0.268660\pi\) | |||||||
\(572\) | 2.38739 | + | 5.86812i | 0.0998219 | + | 0.245358i | ||||
\(573\) | 12.3009 | − | 16.0442i | 0.513876 | − | 0.670256i | ||||
\(574\) | 2.79736 | + | 5.71789i | 0.116760 | + | 0.238660i | ||||
\(575\) | −23.8353 | − | 8.67533i | −0.993999 | − | 0.361786i | ||||
\(576\) | −19.7087 | + | 13.6954i | −0.821198 | + | 0.570644i | ||||
\(577\) | 14.6383 | − | 5.32790i | 0.609399 | − | 0.221803i | −0.0188411 | − | 0.999822i | \(-0.505998\pi\) |
0.628240 | + | 0.778019i | \(0.283775\pi\) | |||||||
\(578\) | −17.1023 | − | 16.4756i | −0.711360 | − | 0.685293i | ||||
\(579\) | −5.22680 | − | 18.4019i | −0.217218 | − | 0.764756i | ||||
\(580\) | 8.67569 | − | 5.45038i | 0.360238 | − | 0.226315i | ||||
\(581\) | −2.86793 | − | 3.85230i | −0.118982 | − | 0.159820i | ||||
\(582\) | −16.1788 | − | 20.2724i | −0.670634 | − | 0.840318i | ||||
\(583\) | 7.65917 | − | 0.446096i | 0.317210 | − | 0.0184754i | ||||
\(584\) | −0.223243 | + | 7.13458i | −0.00923788 | + | 0.295231i | ||||
\(585\) | 7.17283 | − | 0.214501i | 0.296560 | − | 0.00886853i | ||||
\(586\) | 33.8244 | + | 25.7338i | 1.39727 | + | 1.06305i | ||||
\(587\) | 22.8290 | − | 21.5381i | 0.942255 | − | 0.888971i | −0.0517112 | − | 0.998662i | \(-0.516468\pi\) |
0.993966 | + | 0.109691i | \(0.0349861\pi\) | |||||||
\(588\) | −0.692576 | − | 4.93108i | −0.0285614 | − | 0.203354i | ||||
\(589\) | 4.48239 | − | 6.81514i | 0.184694 | − | 0.280813i | ||||
\(590\) | −4.32789 | − | 0.0451273i | −0.178177 | − | 0.00185786i | ||||
\(591\) | 6.54677 | + | 40.4667i | 0.269298 | + | 1.66458i | ||||
\(592\) | −17.3563 | − | 17.7999i | −0.713340 | − | 0.731573i | ||||
\(593\) | −34.1191 | + | 19.6987i | −1.40110 | + | 0.808927i | −0.994506 | − | 0.104680i | \(-0.966618\pi\) |
−0.406597 | + | 0.913607i | \(0.633285\pi\) | |||||||
\(594\) | −6.38355 | − | 2.71334i | −0.261920 | − | 0.111330i | ||||
\(595\) | 0.383507 | − | 0.664253i | 0.0157222 | − | 0.0272317i | ||||
\(596\) | 4.87080 | − | 24.6110i | 0.199516 | − | 1.00811i | ||||
\(597\) | −16.6156 | − | 3.17267i | −0.680033 | − | 0.129849i | ||||
\(598\) | 13.1567 | + | 23.3469i | 0.538018 | + | 0.954727i | ||||
\(599\) | 10.3007 | − | 5.17321i | 0.420875 | − | 0.211372i | −0.225740 | − | 0.974188i | \(-0.572480\pi\) |
0.646616 | + | 0.762816i | \(0.276184\pi\) | |||||||
\(600\) | 4.09741 | + | 21.6210i | 0.167276 | + | 0.882675i | ||||
\(601\) | 3.99736 | − | 13.3521i | 0.163056 | − | 0.544644i | −0.836941 | − | 0.547294i | \(-0.815658\pi\) |
0.999996 | + | 0.00264922i | \(0.000843273\pi\) | |||||||
\(602\) | −2.92467 | − | 6.97935i | −0.119201 | − | 0.284457i | ||||
\(603\) | −6.42759 | − | 9.16381i | −0.261752 | − | 0.373179i | ||||
\(604\) | −37.9315 | + | 10.4993i | −1.54341 | + | 0.427209i | ||||
\(605\) | −6.43921 | − | 3.23389i | −0.261791 | − | 0.131476i | ||||
\(606\) | −5.73059 | − | 1.15628i | −0.232789 | − | 0.0469708i | ||||
\(607\) | 8.21326 | + | 3.54286i | 0.333366 | + | 0.143800i | 0.556182 | − | 0.831060i | \(-0.312266\pi\) |
−0.222816 | + | 0.974860i | \(0.571525\pi\) | |||||||
\(608\) | 8.12584 | − | 6.90251i | 0.329546 | − | 0.279934i | ||||
\(609\) | −26.7910 | − | 12.0087i | −1.08563 | − | 0.486615i | ||||
\(610\) | −4.83336 | − | 1.19889i | −0.195697 | − | 0.0485416i | ||||
\(611\) | 12.4030 | + | 2.18698i | 0.501771 | + | 0.0884758i | ||||
\(612\) | −1.39013 | − | 2.35827i | −0.0561926 | − | 0.0953273i | ||||
\(613\) | −1.51365 | + | 0.266897i | −0.0611357 | + | 0.0107799i | −0.204132 | − | 0.978943i | \(-0.565437\pi\) |
0.142997 | + | 0.989723i | \(0.454326\pi\) | |||||||
\(614\) | 9.09328 | + | 0.624819i | 0.366975 | + | 0.0252157i | ||||
\(615\) | −1.08711 | + | 2.09038i | −0.0438365 | + | 0.0842921i | ||||
\(616\) | −5.70088 | − | 2.67359i | −0.229695 | − | 0.107722i | ||||
\(617\) | 29.9167 | − | 8.95647i | 1.20440 | − | 0.360574i | 0.379147 | − | 0.925336i | \(-0.376217\pi\) |
0.825253 | + | 0.564763i | \(0.191032\pi\) | |||||||
\(618\) | 1.35706 | + | 40.3616i | 0.0545891 | + | 1.62358i | ||||
\(619\) | 21.4281 | − | 28.7829i | 0.861268 | − | 1.15688i | −0.125069 | − | 0.992148i | \(-0.539915\pi\) |
0.986338 | − | 0.164736i | \(-0.0526772\pi\) | |||||||
\(620\) | −6.15058 | − | 0.487101i | −0.247013 | − | 0.0195625i | ||||
\(621\) | −28.2380 | − | 7.97138i | −1.13315 | − | 0.319881i | ||||
\(622\) | 17.9007 | − | 16.5391i | 0.717753 | − | 0.663157i | ||||
\(623\) | 12.9333 | + | 1.51168i | 0.518160 | + | 0.0605642i | ||||
\(624\) | 11.5780 | − | 20.1620i | 0.463490 | − | 0.807125i | ||||
\(625\) | 17.1616 | + | 4.06738i | 0.686465 | + | 0.162695i | ||||
\(626\) | 13.0479 | − | 34.7181i | 0.521498 | − | 1.38761i | ||||
\(627\) | 2.93914 | + | 0.925403i | 0.117378 | + | 0.0369570i | ||||
\(628\) | 1.59193 | − | 4.10534i | 0.0635249 | − | 0.163821i | ||||
\(629\) | 2.17229 | − | 1.82277i | 0.0866149 | − | 0.0726785i | ||||
\(630\) | −5.09166 | + | 4.99463i | −0.202857 | + | 0.198991i | ||||
\(631\) | 3.38969 | − | 4.03967i | 0.134941 | − | 0.160817i | −0.694342 | − | 0.719645i | \(-0.744304\pi\) |
0.829283 | + | 0.558828i | \(0.188749\pi\) | |||||||
\(632\) | −25.6331 | − | 28.9311i | −1.01963 | − | 1.15082i | ||||
\(633\) | −21.6766 | + | 10.5053i | −0.861569 | + | 0.417546i | ||||
\(634\) | 9.30562 | − | 10.8580i | 0.369573 | − | 0.431228i | ||||
\(635\) | −0.726690 | − | 6.21723i | −0.0288378 | − | 0.246723i | ||||
\(636\) | −18.5938 | − | 21.1438i | −0.737291 | − | 0.838405i | ||||
\(637\) | 2.65074 | + | 4.03025i | 0.105026 | + | 0.159684i | ||||
\(638\) | 8.07006 | − | 5.18804i | 0.319497 | − | 0.205396i | ||||
\(639\) | 0.574801 | − | 0.190983i | 0.0227388 | − | 0.00755518i | ||||
\(640\) | −7.53632 | − | 2.87008i | −0.297899 | − | 0.113450i | ||||
\(641\) | 6.25735 | + | 26.4019i | 0.247151 | + | 1.04281i | 0.945130 | + | 0.326693i | \(0.105934\pi\) |
−0.697980 | + | 0.716117i | \(0.745918\pi\) | |||||||
\(642\) | 10.8857 | − | 23.6228i | 0.429626 | − | 0.932318i | ||||
\(643\) | −0.0735108 | + | 1.26213i | −0.00289898 | + | 0.0497736i | −0.999447 | − | 0.0332400i | \(-0.989417\pi\) |
0.996548 | + | 0.0830136i | \(0.0264545\pi\) | |||||||
\(644\) | −25.3521 | − | 8.16970i | −0.999014 | − | 0.321931i | ||||
\(645\) | 1.43467 | − | 2.40571i | 0.0564902 | − | 0.0947248i | ||||
\(646\) | 0.715999 | + | 0.982988i | 0.0281706 | + | 0.0386751i | ||||
\(647\) | 37.6138 | 1.47875 | 0.739375 | − | 0.673294i | \(-0.235121\pi\) | ||||
0.739375 | + | 0.673294i | \(0.235121\pi\) | |||||||
\(648\) | 6.57426 | + | 24.5923i | 0.258261 | + | 0.966075i | ||||
\(649\) | −4.05276 | −0.159085 | ||||||||
\(650\) | −12.5513 | − | 17.2315i | −0.492301 | − | 0.675874i | ||||
\(651\) | 8.62251 | + | 15.4346i | 0.337943 | + | 0.604931i | ||||
\(652\) | −13.9419 | + | 43.2645i | −0.546008 | + | 1.69437i | ||||
\(653\) | −2.66429 | + | 45.7442i | −0.104262 | + | 1.79011i | 0.390021 | + | 0.920806i | \(0.372468\pi\) |
−0.494283 | + | 0.869301i | \(0.664569\pi\) | |||||||
\(654\) | 35.8693 | − | 3.30164i | 1.40260 | − | 0.129104i | ||||
\(655\) | 2.96894 | + | 12.5269i | 0.116006 | + | 0.489468i | ||||
\(656\) | 3.92526 | + | 6.54729i | 0.153256 | + | 0.255629i | ||||
\(657\) | 7.03840 | + | 2.78960i | 0.274594 | + | 0.108833i | ||||
\(658\) | −10.5296 | + | 6.76922i | −0.410487 | + | 0.263892i | ||||
\(659\) | 15.0359 | + | 22.8610i | 0.585717 | + | 0.890540i | 0.999806 | − | 0.0196967i | \(-0.00627007\pi\) |
−0.414089 | + | 0.910236i | \(0.635900\pi\) | |||||||
\(660\) | −0.457818 | − | 2.28528i | −0.0178205 | − | 0.0889544i | ||||
\(661\) | 5.54700 | + | 47.4576i | 0.215753 | + | 1.84589i | 0.474889 | + | 0.880046i | \(0.342488\pi\) |
−0.259136 | + | 0.965841i | \(0.583438\pi\) | |||||||
\(662\) | 0.0111419 | − | 0.0130006i | 0.000433041 | − | 0.000505284i | ||||
\(663\) | 2.19483 | + | 1.48844i | 0.0852401 | + | 0.0578064i | ||||
\(664\) | −3.81947 | − | 4.31089i | −0.148224 | − | 0.167295i | ||||
\(665\) | 2.03668 | − | 2.42722i | 0.0789792 | − | 0.0941237i | ||||
\(666\) | −24.0048 | + | 10.9137i | −0.930166 | + | 0.422898i | ||||
\(667\) | 31.0887 | − | 26.0866i | 1.20376 | − | 1.01008i | ||||
\(668\) | −19.9661 | − | 7.74225i | −0.772511 | − | 0.299557i | ||||
\(669\) | 6.02896 | − | 5.52900i | 0.233093 | − | 0.213764i | ||||
\(670\) | 1.32315 | − | 3.52067i | 0.0511178 | − | 0.136015i | ||||
\(671\) | −4.53731 | − | 1.07536i | −0.175161 | − | 0.0415139i | ||||
\(672\) | 5.14696 | + | 22.5281i | 0.198548 | + | 0.869039i | ||||
\(673\) | −14.4552 | − | 1.68957i | −0.557207 | − | 0.0651281i | −0.167171 | − | 0.985928i | \(-0.553463\pi\) |
−0.390036 | + | 0.920800i | \(0.627537\pi\) | |||||||
\(674\) | −24.6941 | + | 22.8158i | −0.951182 | + | 0.878830i | ||||
\(675\) | 23.0471 | + | 3.69044i | 0.887084 | + | 0.142045i | ||||
\(676\) | 0.274495 | − | 3.46601i | 0.0105575 | − | 0.133308i | ||||
\(677\) | 17.8569 | − | 23.9860i | 0.686298 | − | 0.921858i | −0.313316 | − | 0.949649i | \(-0.601440\pi\) |
0.999614 | + | 0.0277913i | \(0.00884738\pi\) | |||||||
\(678\) | 9.56538 | + | 5.10192i | 0.367356 | + | 0.195938i | ||||
\(679\) | −23.9244 | + | 7.16249i | −0.918133 | + | 0.274871i | ||||
\(680\) | 0.390566 | − | 0.832802i | 0.0149775 | − | 0.0319365i | ||||
\(681\) | 32.0829 | − | 1.41374i | 1.22942 | − | 0.0541747i | ||||
\(682\) | −5.76370 | − | 0.396036i | −0.220703 | − | 0.0151650i | ||||
\(683\) | 1.80470 | − | 0.318217i | 0.0690548 | − | 0.0121762i | −0.139014 | − | 0.990290i | \(-0.544393\pi\) |
0.208069 | + | 0.978114i | \(0.433282\pi\) | |||||||
\(684\) | −3.96368 | − | 10.5911i | −0.151555 | − | 0.404962i | ||||
\(685\) | −10.6542 | − | 1.87862i | −0.407074 | − | 0.0717782i | ||||
\(686\) | −27.3148 | − | 6.77528i | −1.04288 | − | 0.258681i | ||||
\(687\) | 19.7068 | − | 14.2425i | 0.751861 | − | 0.543386i | ||||
\(688\) | −4.20592 | − | 8.04164i | −0.160349 | − | 0.306585i | ||||
\(689\) | 25.0456 | + | 10.8036i | 0.954162 | + | 0.411585i | ||||
\(690\) | −3.14343 | − | 9.34464i | −0.119669 | − | 0.355744i | ||||
\(691\) | 45.3003 | + | 22.7507i | 1.72331 | + | 0.865477i | 0.980641 | + | 0.195814i | \(0.0627348\pi\) |
0.742665 | + | 0.669663i | \(0.233561\pi\) | |||||||
\(692\) | −5.60747 | − | 20.2585i | −0.213164 | − | 0.770113i | ||||
\(693\) | −4.71869 | + | 4.72632i | −0.179248 | + | 0.179538i | ||||
\(694\) | −6.59827 | − | 15.7459i | −0.250467 | − | 0.597708i | ||||
\(695\) | −4.23865 | + | 14.1581i | −0.160781 | + | 0.537047i | ||||
\(696\) | −33.2365 | − | 11.6191i | −1.25983 | − | 0.440423i | ||||
\(697\) | −0.778110 | + | 0.390782i | −0.0294730 | + | 0.0148019i | ||||
\(698\) | 7.10378 | + | 12.6058i | 0.268882 | + | 0.477138i | ||||
\(699\) | −10.4512 | − | 30.0291i | −0.395302 | − | 1.13580i | ||||
\(700\) | 20.7853 | + | 4.11365i | 0.785611 | + | 0.155481i | ||||
\(701\) | −8.95829 | + | 15.5162i | −0.338350 | + | 0.586040i | −0.984123 | − | 0.177490i | \(-0.943202\pi\) |
0.645772 | + | 0.763530i | \(0.276535\pi\) | |||||||
\(702\) | −15.9517 | − | 18.8061i | −0.602058 | − | 0.709789i | ||||
\(703\) | 10.1449 | − | 5.85716i | 0.382622 | − | 0.220907i | ||||
\(704\) | −7.08448 | − | 2.61376i | −0.267006 | − | 0.0985097i | ||||
\(705\) | −4.33113 | − | 1.64613i | −0.163120 | − | 0.0619967i | ||||
\(706\) | 27.5548 | + | 0.287317i | 1.03704 | + | 0.0108133i | ||||
\(707\) | −3.09315 | + | 4.70290i | −0.116330 | + | 0.176871i | ||||
\(708\) | 9.15599 | + | 11.7212i | 0.344103 | + | 0.440511i | ||||
\(709\) | −5.64017 | + | 5.32122i | −0.211821 | + | 0.199843i | −0.784839 | − | 0.619700i | \(-0.787254\pi\) |
0.573018 | + | 0.819543i | \(0.305773\pi\) | |||||||
\(710\) | 0.161975 | + | 0.123231i | 0.00607880 | + | 0.00462479i | ||||
\(711\) | −38.0890 | + | 15.1674i | −1.42845 | + | 0.568822i | ||||
\(712\) | 15.6081 | + | 0.488383i | 0.584938 | + | 0.0183029i | ||||
\(713\) | −24.3975 | + | 1.42099i | −0.913695 | + | 0.0532167i | ||||
\(714\) | −2.60623 | + | 0.393801i | −0.0975357 | + | 0.0147376i | ||||
\(715\) | 1.34829 | + | 1.81106i | 0.0504231 | + | 0.0677299i | ||||
\(716\) | 14.0316 | + | 22.3350i | 0.524386 | + | 0.834696i | ||||
\(717\) | 7.06532 | − | 7.27976i | 0.263859 | − | 0.271868i | ||||
\(718\) | −24.4160 | − | 23.5213i | −0.911199 | − | 0.877808i | ||||
\(719\) | −27.2135 | + | 9.90491i | −1.01489 | + | 0.369391i | −0.795310 | − | 0.606203i | \(-0.792692\pi\) |
−0.219583 | + | 0.975594i | \(0.570470\pi\) | |||||||
\(720\) | −5.57510 | + | 6.48698i | −0.207772 | + | 0.241756i | ||||
\(721\) | 36.5394 | + | 13.2992i | 1.36080 | + | 0.495290i | ||||
\(722\) | −9.60053 | − | 19.6238i | −0.357295 | − | 0.730321i | ||||
\(723\) | 17.3069 | + | 41.7348i | 0.643649 | + | 1.55213i | ||||
\(724\) | −7.72126 | + | 3.14133i | −0.286958 | + | 0.116746i | ||||
\(725\) | −22.1543 | + | 23.4821i | −0.822789 | + | 0.872105i | ||||
\(726\) | 5.11690 | + | 24.2275i | 0.189906 | + | 0.899168i | ||||
\(727\) | −4.70921 | + | 2.03136i | −0.174655 | + | 0.0753389i | −0.481612 | − | 0.876385i | \(-0.659949\pi\) |
0.306957 | + | 0.951723i | \(0.400689\pi\) | |||||||
\(728\) | −13.8462 | − | 17.5905i | −0.513176 | − | 0.651948i | ||||
\(729\) | 26.9029 | + | 2.28808i | 0.996403 | + | 0.0847438i | ||||
\(730\) | 0.560841 | + | 2.48139i | 0.0207577 | + | 0.0918405i | ||||
\(731\) | 0.950472 | − | 0.409994i | 0.0351545 | − | 0.0151642i | ||||
\(732\) | 7.14056 | + | 15.5521i | 0.263923 | + | 0.574822i | ||||
\(733\) | 12.1576 | + | 11.4701i | 0.449050 | + | 0.423657i | 0.877255 | − | 0.480025i | \(-0.159372\pi\) |
−0.428205 | + | 0.903682i | \(0.640854\pi\) | |||||||
\(734\) | −4.38023 | − | 26.4514i | −0.161677 | − | 0.976339i | ||||
\(735\) | −0.679798 | − | 1.63931i | −0.0250747 | − | 0.0604667i | ||||
\(736\) | −31.1260 | − | 7.17858i | −1.14732 | − | 0.264606i | ||||
\(737\) | 1.20453 | − | 3.30941i | 0.0443694 | − | 0.121904i | ||||
\(738\) | 7.94496 | − | 1.56097i | 0.292458 | − | 0.0574601i | ||||
\(739\) | −14.6238 | + | 5.32263i | −0.537945 | + | 0.195796i | −0.596682 | − | 0.802477i | \(-0.703515\pi\) |
0.0587373 | + | 0.998273i | \(0.481293\pi\) | |||||||
\(740\) | −7.57932 | − | 4.58926i | −0.278622 | − | 0.168705i | ||||
\(741\) | 7.86133 | + | 7.62975i | 0.288793 | + | 0.280286i | ||||
\(742\) | −25.5709 | + | 9.00625i | −0.938739 | + | 0.330630i | ||||
\(743\) | −5.40768 | − | 7.26377i | −0.198388 | − | 0.266482i | 0.691785 | − | 0.722103i | \(-0.256825\pi\) |
−0.890174 | + | 0.455621i | \(0.849417\pi\) | |||||||
\(744\) | 11.8759 | + | 17.5643i | 0.435393 | + | 0.643938i | ||||
\(745\) | −0.519897 | − | 8.92629i | −0.0190476 | − | 0.327034i | ||||
\(746\) | 22.1565 | + | 11.4182i | 0.811207 | + | 0.418051i | ||||
\(747\) | −5.67547 | + | 2.26002i | −0.207655 | + | 0.0826900i | ||||
\(748\) | 0.357566 | − | 0.783587i | 0.0130739 | − | 0.0286508i | ||||
\(749\) | −17.1864 | − | 18.2165i | −0.627976 | − | 0.665616i | ||||
\(750\) | 7.07177 | + | 14.9882i | 0.258224 | + | 0.547290i | ||||
\(751\) | −8.58103 | + | 13.0468i | −0.313126 | + | 0.476085i | −0.957422 | − | 0.288691i | \(-0.906780\pi\) |
0.644296 | + | 0.764776i | \(0.277150\pi\) | |||||||
\(752\) | −11.8921 | + | 9.16159i | −0.433661 | + | 0.334089i | ||||
\(753\) | −6.47982 | + | 17.0491i | −0.236138 | + | 0.621303i | ||||
\(754\) | 33.9173 | − | 3.60631i | 1.23519 | − | 0.131334i | ||||
\(755\) | −12.1477 | + | 7.01348i | −0.442100 | + | 0.255247i | ||||
\(756\) | 24.3298 | + | 2.96956i | 0.884865 | + | 0.108002i | ||||
\(757\) | 17.0339 | + | 9.83452i | 0.619107 | + | 0.357442i | 0.776521 | − | 0.630091i | \(-0.216982\pi\) |
−0.157414 | + | 0.987533i | \(0.550316\pi\) | |||||||
\(758\) | 21.4494 | + | 9.51885i | 0.779078 | + | 0.345740i | ||||
\(759\) | −3.03451 | − | 8.71894i | −0.110146 | − | 0.316477i | ||||
\(760\) | 2.18631 | − | 3.10785i | 0.0793057 | − | 0.112734i | ||||
\(761\) | 10.0774 | + | 20.0657i | 0.365304 | + | 0.727381i | 0.998929 | − | 0.0462594i | \(-0.0147301\pi\) |
−0.633625 | + | 0.773640i | \(0.718434\pi\) | |||||||
\(762\) | −15.1415 | + | 15.2790i | −0.548517 | + | 0.553500i | ||||
\(763\) | 9.94719 | − | 33.2259i | 0.360113 | − | 1.20286i | ||||
\(764\) | −13.5469 | − | 19.0119i | −0.490111 | − | 0.687825i | ||||
\(765\) | −0.690434 | − | 0.689321i | −0.0249627 | − | 0.0249224i | ||||
\(766\) | −14.0254 | + | 0.670234i | −0.506757 | + | 0.0242165i | ||||
\(767\) | −12.8760 | − | 6.46655i | −0.464924 | − | 0.233494i | ||||
\(768\) | 8.44582 | + | 26.3945i | 0.304762 | + | 0.952428i | ||||
\(769\) | 15.9422 | − | 36.9581i | 0.574890 | − | 1.33274i | −0.344274 | − | 0.938869i | \(-0.611875\pi\) |
0.919164 | − | 0.393875i | \(-0.128866\pi\) | |||||||
\(770\) | −2.20584 | − | 0.412708i | −0.0794929 | − | 0.0148730i | ||||
\(771\) | −5.45782 | + | 3.94448i | −0.196558 | + | 0.142057i | ||||
\(772\) | −22.0844 | − | 0.460602i | −0.794834 | − | 0.0165774i | ||||
\(773\) | 0.788885 | − | 4.47399i | 0.0283742 | − | 0.160918i | −0.967328 | − | 0.253527i | \(-0.918409\pi\) |
0.995703 | + | 0.0926085i | \(0.0295205\pi\) | |||||||
\(774\) | −9.53697 | + | 1.30338i | −0.342799 | + | 0.0468489i | ||||
\(775\) | 19.1454 | − | 3.37585i | 0.687722 | − | 0.121264i | ||||
\(776\) | −27.8576 | + | 10.9965i | −1.00003 | + | 0.394751i | ||||
\(777\) | 1.11772 | + | 25.3652i | 0.0400981 | + | 0.909971i | ||||
\(778\) | −24.1978 | − | 29.4561i | −0.867532 | − | 1.05605i | ||||
\(779\) | −3.44585 | + | 1.03162i | −0.123460 | + | 0.0369616i | ||||
\(780\) | 2.19185 | − | 7.99102i | 0.0784807 | − | 0.286124i | ||||
\(781\) | 0.152864 | + | 0.113803i | 0.00546991 | + | 0.00407220i | ||||
\(782\) | 1.08130 | − | 3.47935i | 0.0386673 | − | 0.124421i | ||||
\(783\) | −23.5511 | + | 28.9824i | −0.841647 | + | 1.03575i | ||||
\(784\) | −5.67813 | − | 0.905046i | −0.202790 | − | 0.0323231i | ||||
\(785\) | 0.182183 | − | 1.55867i | 0.00650237 | − | 0.0556314i | ||||
\(786\) | 27.2826 | − | 34.8269i | 0.973137 | − | 1.24224i | ||||
\(787\) | −8.59146 | − | 2.03621i | −0.306253 | − | 0.0725832i | 0.0746161 | − | 0.997212i | \(-0.476227\pi\) |
−0.380869 | + | 0.924629i | \(0.624375\pi\) | |||||||
\(788\) | 46.8896 | + | 6.47434i | 1.67037 | + | 0.230639i | ||||
\(789\) | 30.5997 | + | 33.3667i | 1.08938 | + | 1.18789i | ||||
\(790\) | −11.4300 | − | 7.68955i | −0.406661 | − | 0.273582i | ||||
\(791\) | 7.99618 | − | 6.70959i | 0.284311 | − | 0.238566i | ||||
\(792\) | −5.15678 | + | 6.12836i | −0.183238 | + | 0.217762i | ||||
\(793\) | −12.6996 | − | 10.6562i | −0.450975 | − | 0.378413i | ||||
\(794\) | −10.0675 | − | 34.9501i | −0.357283 | − | 1.24033i | ||||
\(795\) | −8.30520 | − | 5.63226i | −0.294555 | − | 0.199756i | ||||
\(796\) | −9.12833 | + | 17.2685i | −0.323545 | + | 0.612065i | ||||
\(797\) | −17.6760 | + | 2.06603i | −0.626115 | + | 0.0731824i | −0.423233 | − | 0.906021i | \(-0.639105\pi\) |
−0.202882 | + | 0.979203i | \(0.565031\pi\) | |||||||
\(798\) | −10.8852 | − | 0.267478i | −0.385332 | − | 0.00946861i | ||||
\(799\) | −0.940920 | − | 1.43060i | −0.0332873 | − | 0.0506110i | ||||
\(800\) | 25.2557 | + | 2.79734i | 0.892925 | + | 0.0989011i | ||||
\(801\) | 6.10273 | − | 15.3977i | 0.215630 | − | 0.544051i | ||||
\(802\) | −25.9108 | − | 3.30274i | −0.914943 | − | 0.116624i | ||||
\(803\) | 0.549357 | + | 2.31792i | 0.0193864 | + | 0.0817975i | ||||
\(804\) | −12.2926 | + | 3.99293i | −0.433528 | + | 0.140820i | ||||
\(805\) | −9.47691 | − | 0.551967i | −0.334017 | − | 0.0194543i | ||||
\(806\) | −17.6799 | − | 10.4548i | −0.622746 | − | 0.368253i | ||||
\(807\) | −11.8715 | − | 21.2505i | −0.417897 | − | 0.748052i | ||||
\(808\) | −3.21679 | + | 5.93474i | −0.113166 | + | 0.208783i | ||||
\(809\) | − | 34.5631i | − | 1.21517i | −0.794253 | − | 0.607587i | \(-0.792138\pi\) | ||
0.794253 | − | 0.607587i | \(-0.207862\pi\) | |||||||
\(810\) | 4.46677 | + | 7.89658i | 0.156946 | + | 0.277458i | ||||
\(811\) | −51.8326 | −1.82009 | −0.910045 | − | 0.414510i | \(-0.863953\pi\) | ||||
−0.910045 | + | 0.414510i | \(0.863953\pi\) | |||||||
\(812\) | −22.3280 | + | 25.5098i | −0.783560 | + | 0.895217i | ||||
\(813\) | −29.5196 | − | 17.6044i | −1.03530 | − | 0.617412i | ||||
\(814\) | −7.14152 | − | 4.22305i | −0.250310 | − | 0.148018i | ||||
\(815\) | −0.941955 | + | 16.1727i | −0.0329953 | + | 0.566507i | ||||
\(816\) | −3.07408 | + | 0.736138i | −0.107614 | + | 0.0257700i | ||||
\(817\) | 4.16084 | − | 0.986136i | 0.145569 | − | 0.0345005i | ||||
\(818\) | −3.10737 | + | 24.3781i | −0.108647 | + | 0.852361i | ||||
\(819\) | −22.5330 | + | 7.48680i | −0.787366 | + | 0.261610i | ||||
\(820\) | 1.93957 | + | 1.90789i | 0.0677328 | + | 0.0666263i | ||||
\(821\) | 2.47685 | − | 1.62905i | 0.0864426 | − | 0.0568542i | −0.505552 | − | 0.862796i | \(-0.668711\pi\) |
0.591994 | + | 0.805942i | \(0.298341\pi\) | |||||||
\(822\) | 17.7922 | + | 32.6435i | 0.620574 | + | 1.13857i | ||||
\(823\) | 1.14163 | + | 9.76730i | 0.0397948 | + | 0.340467i | 0.998439 | + | 0.0558582i | \(0.0177895\pi\) |
−0.958644 | + | 0.284608i | \(0.908136\pi\) | |||||||
\(824\) | 45.0164 | + | 12.1679i | 1.56822 | + | 0.423889i | ||||
\(825\) | 3.20278 | + | 6.60864i | 0.111506 | + | 0.230083i | ||||
\(826\) | 13.7614 | − | 3.96404i | 0.478822 | − | 0.137927i | ||||
\(827\) | −21.9295 | + | 26.1345i | −0.762562 | + | 0.908787i | −0.998007 | − | 0.0631012i | \(-0.979901\pi\) |
0.235445 | + | 0.971888i | \(0.424345\pi\) | |||||||
\(828\) | −18.3610 | + | 28.4741i | −0.638091 | + | 0.989544i | ||||
\(829\) | 6.75518 | + | 8.05051i | 0.234617 | + | 0.279606i | 0.870488 | − | 0.492190i | \(-0.163803\pi\) |
−0.635871 | + | 0.771795i | \(0.719359\pi\) | |||||||
\(830\) | −1.70313 | − | 1.14578i | −0.0591166 | − | 0.0397708i | ||||
\(831\) | −1.34321 | − | 0.422918i | −0.0465955 | − | 0.0146708i | ||||
\(832\) | −18.3375 | − | 19.6081i | −0.635738 | − | 0.679787i | ||||
\(833\) | 0.151246 | − | 0.638158i | 0.00524037 | − | 0.0221108i | ||||
\(834\) | 47.1138 | − | 18.9642i | 1.63142 | − | 0.656677i | ||||
\(835\) | −7.58050 | − | 0.886034i | −0.262334 | − | 0.0306625i | ||||
\(836\) | 2.01675 | − | 2.93131i | 0.0697509 | − | 0.101381i | ||||
\(837\) | 21.7980 | − | 5.53031i | 0.753448 | − | 0.191156i | ||||
\(838\) | 9.97371 | − | 32.0928i | 0.344536 | − | 1.10863i | ||||
\(839\) | 21.8320 | − | 29.3255i | 0.753725 | − | 1.01243i | −0.245351 | − | 0.969434i | \(-0.578903\pi\) |
0.999075 | − | 0.0429934i | \(-0.0136894\pi\) | |||||||
\(840\) | 3.78981 | + | 7.31204i | 0.130761 | + | 0.252289i | ||||
\(841\) | −6.49695 | − | 21.7013i | −0.224033 | − | 0.748321i | ||||
\(842\) | 37.3933 | − | 30.7181i | 1.28866 | − | 1.05861i | ||||
\(843\) | 16.0425 | − | 30.8477i | 0.552532 | − | 1.06245i | ||||
\(844\) | 4.25772 | + | 27.4867i | 0.146557 | + | 0.946133i | ||||
\(845\) | −0.215175 | − | 1.22032i | −0.00740225 | − | 0.0419802i | ||||
\(846\) | 4.86272 | + | 15.1618i | 0.167184 | + | 0.521274i | ||||
\(847\) | 23.4800 | + | 4.14016i | 0.806783 | + | 0.142258i | ||||
\(848\) | −29.6372 | + | 13.3674i | −1.01774 | + | 0.459038i | ||||
\(849\) | 6.12802 | − | 13.6715i | 0.210313 | − | 0.469204i | ||||
\(850\) | −0.533025 | + | 2.84891i | −0.0182826 | + | 0.0977167i | ||||
\(851\) | −32.2261 | − | 13.9010i | −1.10470 | − | 0.476520i | ||||
\(852\) | −0.0162130 | − | 0.699213i | −0.000555447 | − | 0.0239546i | ||||
\(853\) | 8.23460 | − | 16.3964i | 0.281947 | − | 0.561403i | −0.707428 | − | 0.706785i | \(-0.750145\pi\) |
0.989376 | + | 0.145382i | \(0.0464411\pi\) | |||||||
\(854\) | 16.4586 | − | 0.786511i | 0.563201 | − | 0.0269138i | ||||
\(855\) | −2.31436 | − | 3.29958i | −0.0791496 | − | 0.112843i | ||||
\(856\) | −22.3925 | − | 20.0157i | −0.765358 | − | 0.684122i | ||||
\(857\) | 39.4057 | + | 11.7973i | 1.34607 | + | 0.402987i | 0.877135 | − | 0.480244i | \(-0.159452\pi\) |
0.468937 | + | 0.883232i | \(0.344637\pi\) | |||||||
\(858\) | 1.97427 | − | 7.50360i | 0.0674003 | − | 0.256169i | ||||
\(859\) | −15.8558 | + | 7.96308i | −0.540993 | + | 0.271697i | −0.698242 | − | 0.715862i | \(-0.746034\pi\) |
0.157249 | + | 0.987559i | \(0.449738\pi\) | |||||||
\(860\) | −2.17000 | − | 2.39835i | −0.0739965 | − | 0.0817829i | ||||
\(861\) | 1.46221 | − | 7.65775i | 0.0498320 | − | 0.260975i | ||||
\(862\) | 19.0452 | + | 8.45189i | 0.648681 | + | 0.287872i | ||||
\(863\) | 5.49898 | − | 9.52451i | 0.187187 | − | 0.324218i | −0.757124 | − | 0.653271i | \(-0.773396\pi\) |
0.944311 | + | 0.329053i | \(0.106729\pi\) | |||||||
\(864\) | 29.3744 | + | 1.06908i | 0.999338 | + | 0.0363707i | ||||
\(865\) | −3.74578 | − | 6.48787i | −0.127360 | − | 0.220594i | ||||
\(866\) | −3.40007 | − | 31.9776i | −0.115539 | − | 1.08664i | ||||
\(867\) | 4.64492 | + | 28.7110i | 0.157750 | + | 0.975077i | ||||
\(868\) | 19.9584 | − | 4.29276i | 0.677434 | − | 0.145706i | ||||
\(869\) | −10.7773 | − | 7.08833i | −0.365594 | − | 0.240455i | ||||
\(870\) | −12.5054 | − | 1.03713i | −0.423974 | − | 0.0351621i | ||||
\(871\) | 9.10736 | − | 8.59235i | 0.308591 | − | 0.291141i | ||||
\(872\) | 8.50016 | − | 40.7156i | 0.287852 | − | 1.37880i | ||||
\(873\) | 0.949531 | + | 31.7519i | 0.0321368 | + | 1.07464i | ||||
\(874\) | 6.89485 | − | 13.3791i | 0.233222 | − | 0.452555i | ||||
\(875\) | 15.9301 | − | 0.927825i | 0.538537 | − | 0.0313662i | ||||
\(876\) | 5.46270 | − | 6.82547i | 0.184567 | − | 0.230611i | ||||
\(877\) | 40.9941 | − | 30.5190i | 1.38427 | − | 1.03055i | 0.390326 | − | 0.920677i | \(-0.372362\pi\) |
0.993945 | − | 0.109876i | \(-0.0350453\pi\) | |||||||
\(878\) | −21.1837 | + | 7.46103i | −0.714914 | + | 0.251797i | ||||
\(879\) | −14.2222 | − | 50.0720i | −0.479704 | − | 1.68889i | ||||
\(880\) | −2.67783 | − | 0.268367i | −0.0902696 | − | 0.00904664i | ||||
\(881\) | −13.2570 | − | 36.4233i | −0.446640 | − | 1.22713i | −0.935049 | − | 0.354518i | \(-0.884645\pi\) |
0.488409 | − | 0.872615i | \(-0.337577\pi\) | |||||||
\(882\) | −2.94590 | + | 5.33989i | −0.0991935 | + | 0.179804i | ||||
\(883\) | −3.76746 | − | 1.37124i | −0.126785 | − | 0.0461460i | 0.277848 | − | 0.960625i | \(-0.410379\pi\) |
−0.404634 | + | 0.914479i | \(0.632601\pi\) | |||||||
\(884\) | 2.38630 | − | 1.91899i | 0.0802601 | − | 0.0645427i | ||||
\(885\) | 4.20675 | + | 3.22526i | 0.141408 | + | 0.108416i | ||||
\(886\) | 5.83193 | + | 35.2179i | 0.195927 | + | 1.18317i | ||||
\(887\) | −34.7290 | + | 36.8106i | −1.16608 | + | 1.23598i | −0.199425 | + | 0.979913i | \(0.563907\pi\) |
−0.966660 | + | 0.256064i | \(0.917574\pi\) | |||||||
\(888\) | 3.92036 | + | 30.1952i | 0.131559 | + | 1.01328i | ||||
\(889\) | 8.20350 | + | 19.0179i | 0.275137 | + | 0.637838i | ||||
\(890\) | 5.42847 | − | 1.22694i | 0.181963 | − | 0.0411270i | ||||
\(891\) | 4.25945 | + | 7.35017i | 0.142697 | + | 0.246240i | ||||
\(892\) | −4.06236 | − | 8.52769i | −0.136018 | − | 0.285528i | ||||
\(893\) | −2.80165 | − | 6.49495i | −0.0937536 | − | 0.217345i | ||||
\(894\) | −22.8611 | + | 20.5307i | −0.764591 | + | 0.686648i | ||||
\(895\) | 6.83776 | + | 6.45109i | 0.228561 | + | 0.215636i | ||||
\(896\) | 26.6124 | + | 1.94582i | 0.889058 | + | 0.0650051i | ||||
\(897\) | 4.27097 | − | 32.5427i | 0.142603 | − | 1.08657i | ||||
\(898\) | 27.7386 | − | 13.5706i | 0.925650 | − | 0.452856i | ||||
\(899\) | −10.6385 | + | 29.2290i | −0.354813 | + | 0.974840i | ||||
\(900\) | 11.8776 | − | 24.1932i | 0.395919 | − | 0.806439i | ||||
\(901\) | −1.26836 | − | 3.48478i | −0.0422551 | − | 0.116095i | ||||
\(902\) | 1.83470 | + | 1.76747i | 0.0610888 | + | 0.0588502i | ||||
\(903\) | −2.26468 | + | 8.98714i | −0.0753637 | + | 0.299073i | ||||
\(904\) | 8.87097 | − | 8.83218i | 0.295044 | − | 0.293754i | ||||
\(905\) | −2.38299 | + | 1.77407i | −0.0792134 | + | 0.0589722i | ||||
\(906\) | 44.8775 | + | 17.5942i | 1.49096 | + | 0.584528i | ||||
\(907\) | −0.487467 | − | 8.36948i | −0.0161861 | − | 0.277904i | −0.996684 | − | 0.0813732i | \(-0.974069\pi\) |
0.980498 | − | 0.196531i | \(-0.0629676\pi\) | |||||||
\(908\) | 9.30226 | − | 35.8964i | 0.308706 | − | 1.19126i | ||||
\(909\) | 4.76422 | + | 5.34482i | 0.158019 | + | 0.177277i | ||||
\(910\) | −6.34963 | − | 4.83083i | −0.210488 | − | 0.160140i | ||||
\(911\) | 19.0410 | + | 20.1822i | 0.630855 | + | 0.668667i | 0.961410 | − | 0.275120i | \(-0.0887174\pi\) |
−0.330555 | + | 0.943787i | \(0.607236\pi\) | |||||||
\(912\) | −13.0341 | + | 0.789623i | −0.431601 | + | 0.0261470i | ||||
\(913\) | −1.60587 | − | 1.05620i | −0.0531467 | − | 0.0349551i | ||||
\(914\) | 0.0841169 | − | 8.06715i | 0.00278234 | − | 0.266838i | ||||
\(915\) | 3.85392 | + | 4.72709i | 0.127407 | + | 0.156273i | ||||
\(916\) | −9.05042 | − | 26.5776i | −0.299034 | − | 0.878147i | ||||
\(917\) | −21.2988 | − | 36.8906i | −0.703348 | − | 1.21823i | ||||
\(918\) | −0.371480 | + | 3.33209i | −0.0122607 | + | 0.109975i | ||||
\(919\) | 24.8099 | + | 14.3240i | 0.818403 | + | 0.472505i | 0.849865 | − | 0.527000i | \(-0.176683\pi\) |
−0.0314626 | + | 0.999505i | \(0.510017\pi\) | |||||||
\(920\) | −11.3803 | + | 0.306175i | −0.375197 | + | 0.0100943i | ||||
\(921\) | −8.44920 | − | 7.29578i | −0.278410 | − | 0.240404i | ||||
\(922\) | −46.2959 | + | 26.0892i | −1.52468 | + | 0.859202i | ||||
\(923\) | 0.304079 | + | 0.605472i | 0.0100089 | + | 0.0199293i | ||||
\(924\) | 3.61988 | + | 6.80945i | 0.119085 | + | 0.224015i | ||||
\(925\) | 26.7458 | + | 8.00716i | 0.879396 | + | 0.263274i | ||||
\(926\) | 18.0586 | + | 43.0947i | 0.593444 | + | 1.41618i | ||||
\(927\) | 28.3367 | − | 40.5386i | 0.930701 | − | 1.33146i | ||||
\(928\) | −24.0804 | + | 32.7571i | −0.790479 | + | 1.07530i | ||||
\(929\) | −15.2624 | + | 30.3899i | −0.500743 | + | 0.997062i | 0.491279 | + | 0.871002i | \(0.336529\pi\) |
−0.992023 | + | 0.126060i | \(0.959767\pi\) | |||||||
\(930\) | 5.66753 | + | 4.99794i | 0.185846 | + | 0.163889i | ||||
\(931\) | 1.07308 | − | 2.48767i | 0.0351687 | − | 0.0815301i | ||||
\(932\) | −36.6891 | + | 1.37003i | −1.20179 | + | 0.0448767i | ||||
\(933\) | −29.6933 | + | 3.04569i | −0.972114 | + | 0.0997115i | ||||
\(934\) | −29.4637 | − | 7.30832i | −0.964083 | − | 0.239135i | ||||
\(935\) | 0.0533047 | − | 0.302306i | 0.00174325 | − | 0.00988646i | ||||
\(936\) | −26.1619 | + | 11.2422i | −0.855129 | + | 0.367463i | ||||
\(937\) | 1.34943 | + | 7.65297i | 0.0440838 | + | 0.250012i | 0.998884 | − | 0.0472377i | \(-0.0150418\pi\) |
−0.954800 | + | 0.297249i | \(0.903931\pi\) | |||||||
\(938\) | −0.853097 | + | 12.4155i | −0.0278546 | + | 0.405381i | ||||
\(939\) | −38.3008 | + | 24.4220i | −1.24990 | + | 0.796983i | ||||
\(940\) | −3.28370 | + | 4.22396i | −0.107103 | + | 0.137770i | ||||
\(941\) | 15.8730 | + | 53.0195i | 0.517445 | + | 1.72839i | 0.672140 | + | 0.740424i | \(0.265375\pi\) |
−0.154695 | + | 0.987962i | \(0.549439\pi\) | |||||||
\(942\) | −4.57704 | + | 2.85181i | −0.149128 | + | 0.0929169i | ||||
\(943\) | 8.64416 | + | 6.43534i | 0.281492 | + | 0.209563i | ||||
\(944\) | 16.0397 | − | 6.13899i | 0.522048 | − | 0.199807i | ||||
\(945\) | 8.65928 | − | 1.15068i | 0.281686 | − | 0.0374316i | ||||
\(946\) | −2.05525 | − | 2.22445i | −0.0668218 | − | 0.0723231i | ||||
\(947\) | −0.448303 | + | 3.83548i | −0.0145679 | + | 0.124636i | −0.998565 | − | 0.0535460i | \(-0.982948\pi\) |
0.983997 | + | 0.178182i | \(0.0570217\pi\) | |||||||
\(948\) | 3.84740 | + | 47.1836i | 0.124958 | + | 1.53245i | ||||
\(949\) | −1.95310 | + | 8.24077i | −0.0634003 | + | 0.267507i | ||||
\(950\) | −4.21209 | + | 11.2076i | −0.136658 | + | 0.363623i | ||||
\(951\) | −17.0972 | + | 3.79760i | −0.554416 | + | 0.123146i | ||||
\(952\) | −0.447709 | + | 3.01047i | −0.0145103 | + | 0.0975698i | ||||
\(953\) | 9.93366 | + | 11.8385i | 0.321783 | + | 0.383486i | 0.902551 | − | 0.430583i | \(-0.141692\pi\) |
−0.580768 | + | 0.814069i | \(0.697248\pi\) | |||||||
\(954\) | 2.67492 | + | 34.3806i | 0.0866036 | + | 1.11311i | ||||
\(955\) | −6.37344 | − | 5.34796i | −0.206240 | − | 0.173056i | ||||
\(956\) | −5.64420 | − | 10.2646i | −0.182546 | − | 0.331980i | ||||
\(957\) | −11.7193 | − | 0.849003i | −0.378831 | − | 0.0274444i | ||||
\(958\) | 22.7640 | − | 26.5616i | 0.735471 | − | 0.858167i | ||||
\(959\) | 35.5545 | − | 4.15572i | 1.14811 | − | 0.134195i | ||||
\(960\) | 5.27359 | + | 8.35102i | 0.170204 | + | 0.269528i | ||||
\(961\) | −10.2507 | + | 6.74196i | −0.330666 | + | 0.217483i | ||||
\(962\) | −15.9510 | − | 24.8120i | −0.514280 | − | 0.799970i | ||||
\(963\) | −28.0275 | + | 15.1415i | −0.903174 | + | 0.487928i | ||||
\(964\) | 51.9328 | − | 4.97481i | 1.67264 | − | 0.160228i | ||||
\(965\) | −7.66030 | + | 1.81553i | −0.246594 | + | 0.0584438i | ||||
\(966\) | 18.8320 | + | 26.6377i | 0.605909 | + | 0.857055i | ||||
\(967\) | −56.6495 | − | 3.29946i | −1.82172 | − | 0.106103i | −0.887065 | − | 0.461645i | \(-0.847259\pi\) |
−0.934660 | + | 0.355542i | \(0.884296\pi\) | |||||||
\(968\) | 28.4783 | + | 2.55443i | 0.915329 | + | 0.0821024i | ||||
\(969\) | 0.0210611 | − | 1.48927i | 0.000676581 | − | 0.0478424i | ||||
\(970\) | −8.62775 | + | 6.28437i | −0.277020 | + | 0.201779i | ||||
\(971\) | − | 35.0182i | − | 1.12379i | −0.827210 | − | 0.561894i | \(-0.810073\pi\) | ||
0.827210 | − | 0.561894i | \(-0.189927\pi\) | |||||||
\(972\) | 11.6349 | − | 28.9245i | 0.373191 | − | 0.927754i | ||||
\(973\) | − | 48.9009i | − | 1.56769i | ||||||
\(974\) | 19.6781 | + | 27.0158i | 0.630525 | + | 0.865641i | ||||
\(975\) | −0.369195 | + | 26.1065i | −0.0118237 | + | 0.836078i | ||||
\(976\) | 19.5864 | − | 2.61699i | 0.626944 | − | 0.0837677i | ||||
\(977\) | 12.1479 | + | 0.707532i | 0.388644 | + | 0.0226360i | 0.251355 | − | 0.967895i | \(-0.419124\pi\) |
0.137289 | + | 0.990531i | \(0.456161\pi\) | |||||||
\(978\) | 45.4584 | − | 32.1376i | 1.45360 | − | 1.02765i | ||||
\(979\) | 5.07084 | − | 1.20181i | 0.162065 | − | 0.0384100i | ||||
\(980\) | −2.03987 | + | 0.195406i | −0.0651613 | + | 0.00624202i | ||||
\(981\) | −37.5669 | − | 23.1298i | −1.19942 | − | 0.738478i | ||||
\(982\) | −21.5807 | + | 13.8737i | −0.688669 | + | 0.442727i | ||||
\(983\) | −8.14329 | + | 5.35593i | −0.259731 | + | 0.170828i | −0.672696 | − | 0.739919i | \(-0.734864\pi\) |
0.412965 | + | 0.910747i | \(0.364493\pi\) | |||||||
\(984\) | 0.966858 | − | 9.29931i | 0.0308223 | − | 0.296451i | ||||
\(985\) | 16.7558 | − | 1.95847i | 0.533883 | − | 0.0624020i | ||||
\(986\) | −3.52110 | − | 3.01767i | −0.112135 | − | 0.0961023i | ||||
\(987\) | 15.2910 | + | 1.10776i | 0.486719 | + | 0.0352603i | ||||
\(988\) | 11.0846 | − | 6.09510i | 0.352647 | − | 0.193911i | ||||
\(989\) | −9.81404 | − | 8.23496i | −0.312068 | − | 0.261857i | ||||
\(990\) | −1.23119 | + | 2.57533i | −0.0391299 | + | 0.0818493i | ||||
\(991\) | −17.7907 | − | 21.2021i | −0.565139 | − | 0.673506i | 0.405487 | − | 0.914101i | \(-0.367102\pi\) |
−0.970626 | + | 0.240595i | \(0.922658\pi\) | |||||||
\(992\) | 23.4111 | − | 7.16327i | 0.743302 | − | 0.227434i | ||||
\(993\) | −0.0204710 | + | 0.00454697i | −0.000649627 | + | 0.000144294i | ||||
\(994\) | −0.630374 | − | 0.236909i | −0.0199943 | − | 0.00751431i | ||||
\(995\) | −1.60541 | + | 6.77375i | −0.0508949 | + | 0.214742i | ||||
\(996\) | 0.573283 | + | 7.03062i | 0.0181652 | + | 0.222774i | ||||
\(997\) | 1.24394 | − | 10.6426i | 0.0393959 | − | 0.337054i | −0.959139 | − | 0.282937i | \(-0.908691\pi\) |
0.998535 | − | 0.0541173i | \(-0.0172345\pi\) | |||||||
\(998\) | −25.1480 | + | 23.2351i | −0.796045 | + | 0.735494i | ||||
\(999\) | 31.5385 | + | 6.95188i | 0.997835 | + | 0.219948i |
(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 | 648.2.bb.b.131.20 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.131.8 | ✓ | 1872 | |
81.47 | odd | 54 | inner | 648.2.bb.b.371.8 | yes | 1872 | |
648.371 | even | 54 | inner | 648.2.bb.b.371.20 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.131.8 | ✓ | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.131.20 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.371.8 | yes | 1872 | 81.47 | odd | 54 | inner | |
648.2.bb.b.371.20 | yes | 1872 | 648.371 | even | 54 | inner |