Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.17 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.17 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.492726 | + | 1.35375i | 0.348410 | + | 0.957249i | 0.982871 | + | 0.184294i | \(0.0589998\pi\) |
−0.634461 | + | 0.772955i | \(0.718778\pi\) | |||||||
\(3\) | −0.333137 | + | 1.69971i | −0.192337 | + | 0.981329i | ||||
\(4\) | −0.0577819 | + | 0.0484848i | −0.0288910 | + | 0.0242424i | ||||
\(5\) | 0.440273 | + | 2.49691i | 0.196896 | + | 1.11665i | 0.909693 | + | 0.415282i | \(0.136317\pi\) |
−0.712797 | + | 0.701370i | \(0.752572\pi\) | |||||||
\(6\) | −2.46514 | + | 0.386507i | −1.00639 | + | 0.157791i | ||||
\(7\) | −1.60923 | − | 2.10009i | −0.608232 | − | 0.793759i | ||||
\(8\) | 2.40115 | + | 1.38630i | 0.848933 | + | 0.490132i | ||||
\(9\) | −2.77804 | − | 1.13247i | −0.926013 | − | 0.377491i | ||||
\(10\) | −3.16327 | + | 1.82631i | −1.00031 | + | 0.577531i | ||||
\(11\) | 2.06906 | + | 0.364832i | 0.623846 | + | 0.110001i | 0.476631 | − | 0.879104i | \(-0.341858\pi\) |
0.147215 | + | 0.989104i | \(0.452969\pi\) | |||||||
\(12\) | −0.0631609 | − | 0.114365i | −0.0182330 | − | 0.0330142i | ||||
\(13\) | 0.0331071 | − | 0.0909611i | 0.00918227 | − | 0.0252281i | −0.935017 | − | 0.354603i | \(-0.884616\pi\) |
0.944199 | + | 0.329375i | \(0.106838\pi\) | |||||||
\(14\) | 2.05009 | − | 3.21327i | 0.547911 | − | 0.858783i | ||||
\(15\) | −4.39070 | − | 0.0834760i | −1.13367 | − | 0.0215534i | ||||
\(16\) | −0.719801 | + | 4.08219i | −0.179950 | + | 1.02055i | ||||
\(17\) | −3.94280 | − | 6.82913i | −0.956269 | − | 1.65631i | −0.731438 | − | 0.681908i | \(-0.761150\pi\) |
−0.224831 | − | 0.974398i | \(-0.572183\pi\) | |||||||
\(18\) | 0.164277 | − | 4.31878i | 0.0387204 | − | 1.01795i | ||||
\(19\) | 1.53773 | + | 0.887809i | 0.352780 | + | 0.203677i | 0.665909 | − | 0.746033i | \(-0.268044\pi\) |
−0.313129 | + | 0.949711i | \(0.601377\pi\) | |||||||
\(20\) | −0.146502 | − | 0.122930i | −0.0327588 | − | 0.0274879i | ||||
\(21\) | 4.10564 | − | 2.03561i | 0.895924 | − | 0.444207i | ||||
\(22\) | 0.525589 | + | 2.98077i | 0.112056 | + | 0.635501i | ||||
\(23\) | 3.82906 | + | 4.56329i | 0.798414 | + | 0.951513i | 0.999607 | − | 0.0280391i | \(-0.00892629\pi\) |
−0.201193 | + | 0.979552i | \(0.564482\pi\) | |||||||
\(24\) | −3.15622 | + | 3.61943i | −0.644261 | + | 0.738813i | ||||
\(25\) | −1.34226 | + | 0.488541i | −0.268451 | + | 0.0977083i | ||||
\(26\) | 0.139452 | 0.0273487 | ||||||||
\(27\) | 2.85034 | − | 4.34460i | 0.548549 | − | 0.836118i | ||||
\(28\) | 0.194807 | + | 0.0433240i | 0.0368150 | + | 0.00818746i | ||||
\(29\) | 0.573096 | + | 1.57457i | 0.106421 | + | 0.292390i | 0.981461 | − | 0.191661i | \(-0.0613873\pi\) |
−0.875040 | + | 0.484051i | \(0.839165\pi\) | |||||||
\(30\) | −2.05041 | − | 5.98506i | −0.374351 | − | 1.09272i | ||||
\(31\) | 0.916092 | + | 1.09176i | 0.164535 | + | 0.196085i | 0.842012 | − | 0.539459i | \(-0.181371\pi\) |
−0.677477 | + | 0.735544i | \(0.736927\pi\) | |||||||
\(32\) | −0.419987 | + | 0.0740550i | −0.0742439 | + | 0.0130912i | ||||
\(33\) | −1.30939 | + | 3.39527i | −0.227936 | + | 0.591041i | ||||
\(34\) | 7.30224 | − | 8.70247i | 1.25232 | − | 1.49246i | ||||
\(35\) | 4.53523 | − | 4.94272i | 0.766594 | − | 0.835472i | ||||
\(36\) | 0.215428 | − | 0.0692562i | 0.0359047 | − | 0.0115427i | ||||
\(37\) | −1.88241 | − | 3.26042i | −0.309466 | − | 0.536010i | 0.668780 | − | 0.743460i | \(-0.266817\pi\) |
−0.978246 | + | 0.207450i | \(0.933483\pi\) | |||||||
\(38\) | −0.444195 | + | 2.51916i | −0.0720580 | + | 0.408661i | ||||
\(39\) | 0.143578 | + | 0.0865751i | 0.0229910 | + | 0.0138631i | ||||
\(40\) | −2.40431 | + | 6.60580i | −0.380155 | + | 1.04447i | ||||
\(41\) | 2.60026 | + | 0.946417i | 0.406092 | + | 0.147806i | 0.536987 | − | 0.843591i | \(-0.319563\pi\) |
−0.130894 | + | 0.991396i | \(0.541785\pi\) | |||||||
\(42\) | 4.77867 | + | 4.55503i | 0.737366 | + | 0.702856i | ||||
\(43\) | 1.03518 | − | 5.87080i | 0.157864 | − | 0.895289i | −0.798257 | − | 0.602317i | \(-0.794244\pi\) |
0.956121 | − | 0.292973i | \(-0.0946445\pi\) | |||||||
\(44\) | −0.137243 | + | 0.0792375i | −0.0206902 | + | 0.0119455i | ||||
\(45\) | 1.60459 | − | 7.43511i | 0.239198 | − | 1.10836i | ||||
\(46\) | −4.29090 | + | 7.43206i | −0.632659 | + | 1.09580i | ||||
\(47\) | 3.23438 | + | 2.71396i | 0.471782 | + | 0.395872i | 0.847444 | − | 0.530885i | \(-0.178140\pi\) |
−0.375662 | + | 0.926757i | \(0.622585\pi\) | |||||||
\(48\) | −6.69876 | − | 2.58338i | −0.966883 | − | 0.372879i | ||||
\(49\) | −1.82075 | + | 6.75906i | −0.260107 | + | 0.965580i | ||||
\(50\) | −1.32273 | − | 1.57637i | −0.187062 | − | 0.222932i | ||||
\(51\) | 12.9210 | − | 4.42659i | 1.80931 | − | 0.619846i | ||||
\(52\) | 0.00249724 | + | 0.00686110i | 0.000346304 | + | 0.000951464i | ||||
\(53\) | − | 9.25188i | − | 1.27084i | −0.772165 | − | 0.635422i | \(-0.780826\pi\) | ||
0.772165 | − | 0.635422i | \(-0.219174\pi\) | |||||||
\(54\) | 7.28596 | + | 1.71797i | 0.991493 | + | 0.233786i | ||||
\(55\) | 5.32689i | 0.718278i | ||||||||
\(56\) | −0.952641 | − | 7.27350i | −0.127302 | − | 0.971962i | ||||
\(57\) | −2.02129 | + | 2.31794i | −0.267727 | + | 0.307018i | ||||
\(58\) | −1.84920 | + | 1.55166i | −0.242812 | + | 0.203743i | ||||
\(59\) | 1.28271 | + | 7.27458i | 0.166994 | + | 0.947070i | 0.946985 | + | 0.321279i | \(0.104113\pi\) |
−0.779991 | + | 0.625791i | \(0.784776\pi\) | |||||||
\(60\) | 0.257750 | − | 0.208059i | 0.0332754 | − | 0.0268603i | ||||
\(61\) | 7.80852 | − | 9.30583i | 0.999778 | − | 1.19149i | 0.0183160 | − | 0.999832i | \(-0.494169\pi\) |
0.981462 | − | 0.191657i | \(-0.0613861\pi\) | |||||||
\(62\) | −1.02659 | + | 1.77810i | −0.130377 | + | 0.225819i | ||||
\(63\) | 2.09221 | + | 7.65654i | 0.263594 | + | 0.964634i | ||||
\(64\) | 3.83798 | + | 6.64757i | 0.479747 | + | 0.830947i | ||||
\(65\) | 0.241698 | + | 0.0426179i | 0.0299789 | + | 0.00528609i | ||||
\(66\) | −5.24153 | − | 0.0996521i | −0.645188 | − | 0.0122663i | ||||
\(67\) | −10.6299 | − | 3.86898i | −1.29865 | − | 0.472671i | −0.402096 | − | 0.915597i | \(-0.631718\pi\) |
−0.896558 | + | 0.442926i | \(0.853940\pi\) | |||||||
\(68\) | 0.558931 | + | 0.203434i | 0.0677804 | + | 0.0246700i | ||||
\(69\) | −9.03188 | + | 4.98809i | −1.08731 | + | 0.600496i | ||||
\(70\) | 8.92585 | + | 3.70418i | 1.06684 | + | 0.442735i | ||||
\(71\) | −11.9234 | + | 6.88396i | −1.41504 | + | 0.816976i | −0.995858 | − | 0.0909251i | \(-0.971018\pi\) |
−0.419185 | + | 0.907901i | \(0.637684\pi\) | |||||||
\(72\) | −5.10053 | − | 6.57043i | −0.601103 | − | 0.774333i | ||||
\(73\) | −12.0252 | − | 6.94274i | −1.40744 | − | 0.812587i | −0.412301 | − | 0.911048i | \(-0.635275\pi\) |
−0.995141 | + | 0.0984612i | \(0.968608\pi\) | |||||||
\(74\) | 3.48630 | − | 4.15481i | 0.405274 | − | 0.482987i | ||||
\(75\) | −0.383224 | − | 2.44420i | −0.0442510 | − | 0.282232i | ||||
\(76\) | −0.131898 | + | 0.0232572i | −0.0151298 | + | 0.00266779i | ||||
\(77\) | −2.56342 | − | 4.93232i | −0.292129 | − | 0.562090i | ||||
\(78\) | −0.0464565 | + | 0.237028i | −0.00526016 | + | 0.0268381i | ||||
\(79\) | −5.82433 | + | 2.11988i | −0.655288 | + | 0.238505i | −0.648201 | − | 0.761469i | \(-0.724478\pi\) |
−0.00708756 | + | 0.999975i | \(0.502256\pi\) | |||||||
\(80\) | −10.5098 | −1.17503 | ||||||||
\(81\) | 6.43501 | + | 6.29211i | 0.715001 | + | 0.699123i | ||||
\(82\) | 3.98644i | 0.440228i | ||||||||
\(83\) | −8.67692 | + | 3.15814i | −0.952416 | + | 0.346651i | −0.771057 | − | 0.636766i | \(-0.780272\pi\) |
−0.181359 | + | 0.983417i | \(0.558049\pi\) | |||||||
\(84\) | −0.138536 | + | 0.316683i | −0.0151155 | + | 0.0345529i | ||||
\(85\) | 15.3158 | − | 12.8515i | 1.66123 | − | 1.39394i | ||||
\(86\) | 8.45769 | − | 1.49132i | 0.912016 | − | 0.160813i | ||||
\(87\) | −2.86723 | + | 0.449552i | −0.307400 | + | 0.0481970i | ||||
\(88\) | 4.46236 | + | 3.74436i | 0.475689 | + | 0.399150i | ||||
\(89\) | 6.28476 | − | 10.8855i | 0.666183 | − | 1.15386i | −0.312781 | − | 0.949825i | \(-0.601260\pi\) |
0.978963 | − | 0.204037i | \(-0.0654062\pi\) | |||||||
\(90\) | 10.8559 | − | 1.49126i | 1.14432 | − | 0.157192i | ||||
\(91\) | −0.244303 | + | 0.0768495i | −0.0256100 | + | 0.00805602i | ||||
\(92\) | −0.442501 | − | 0.0780248i | −0.0461339 | − | 0.00813465i | ||||
\(93\) | −2.16085 | + | 1.19339i | −0.224070 | + | 0.123749i | ||||
\(94\) | −2.08038 | + | 5.71579i | −0.214575 | + | 0.589539i | ||||
\(95\) | −1.53976 | + | 4.23045i | −0.157976 | + | 0.434035i | ||||
\(96\) | 0.0140409 | − | 0.738527i | 0.00143304 | − | 0.0753756i | ||||
\(97\) | −15.0854 | − | 2.65997i | −1.53169 | − | 0.270079i | −0.656676 | − | 0.754172i | \(-0.728038\pi\) |
−0.875016 | + | 0.484094i | \(0.839149\pi\) | |||||||
\(98\) | −10.0472 | + | 0.865519i | −1.01492 | + | 0.0874306i | ||||
\(99\) | −5.33478 | − | 3.35668i | −0.536165 | − | 0.337359i | ||||
\(100\) | 0.0538713 | − | 0.0933079i | 0.00538713 | − | 0.00933079i | ||||
\(101\) | −8.06029 | − | 6.76338i | −0.802028 | − | 0.672982i | 0.146662 | − | 0.989187i | \(-0.453147\pi\) |
−0.948691 | + | 0.316205i | \(0.897591\pi\) | |||||||
\(102\) | 12.3590 | + | 15.3108i | 1.22373 | + | 1.51600i | ||||
\(103\) | 8.05199 | − | 1.41978i | 0.793386 | − | 0.139895i | 0.237756 | − | 0.971325i | \(-0.423588\pi\) |
0.555630 | + | 0.831429i | \(0.312477\pi\) | |||||||
\(104\) | 0.205595 | − | 0.172514i | 0.0201602 | − | 0.0169164i | ||||
\(105\) | 6.89034 | + | 9.35519i | 0.672429 | + | 0.912973i | ||||
\(106\) | 12.5248 | − | 4.55864i | 1.21651 | − | 0.442774i | ||||
\(107\) | 8.64958i | 0.836187i | 0.908404 | + | 0.418093i | \(0.137302\pi\) | ||||
−0.908404 | + | 0.418093i | \(0.862698\pi\) | |||||||
\(108\) | 0.0459486 | + | 0.389238i | 0.00442140 | + | 0.0374544i | ||||
\(109\) | −2.35627 | −0.225690 | −0.112845 | − | 0.993613i | \(-0.535996\pi\) | ||||
−0.112845 | + | 0.993613i | \(0.535996\pi\) | |||||||
\(110\) | −7.21130 | + | 2.62470i | −0.687570 | + | 0.250255i | ||||
\(111\) | 6.16888 | − | 2.11338i | 0.585524 | − | 0.200593i | ||||
\(112\) | 9.73130 | − | 5.05755i | 0.919521 | − | 0.477893i | ||||
\(113\) | −9.10544 | + | 1.60554i | −0.856568 | + | 0.151036i | −0.584651 | − | 0.811285i | \(-0.698769\pi\) |
−0.271917 | + | 0.962321i | \(0.587658\pi\) | |||||||
\(114\) | −4.13386 | − | 1.59423i | −0.387171 | − | 0.149313i | ||||
\(115\) | −9.70830 | + | 11.5699i | −0.905304 | + | 1.07890i | ||||
\(116\) | −0.109457 | − | 0.0631952i | −0.0101629 | − | 0.00586753i | ||||
\(117\) | −0.194984 | + | 0.215201i | −0.0180263 | + | 0.0198953i | ||||
\(118\) | −9.21597 | + | 5.32084i | −0.848399 | + | 0.489823i | ||||
\(119\) | −7.99690 | + | 19.2699i | −0.733075 | + | 1.76647i | ||||
\(120\) | −10.4270 | − | 6.28727i | −0.951849 | − | 0.573947i | ||||
\(121\) | −6.18870 | − | 2.25250i | −0.562609 | − | 0.204773i | ||||
\(122\) | 16.4453 | + | 5.98559i | 1.48888 | + | 0.541909i | ||||
\(123\) | −2.47488 | + | 4.10441i | −0.223152 | + | 0.370082i | ||||
\(124\) | −0.105867 | − | 0.0186672i | −0.00950715 | − | 0.00167637i | ||||
\(125\) | 4.52777 | + | 7.84233i | 0.404976 | + | 0.701439i | ||||
\(126\) | −9.33419 | + | 6.60492i | −0.831555 | + | 0.588413i | ||||
\(127\) | 9.01241 | − | 15.6100i | 0.799722 | − | 1.38516i | −0.120075 | − | 0.992765i | \(-0.538314\pi\) |
0.919797 | − | 0.392394i | \(-0.128353\pi\) | |||||||
\(128\) | −7.65636 | + | 9.12449i | −0.676733 | + | 0.806499i | ||||
\(129\) | 9.63382 | + | 3.71529i | 0.848210 | + | 0.327113i | ||||
\(130\) | 0.0613968 | + | 0.348198i | 0.00538485 | + | 0.0305390i | ||||
\(131\) | 1.18288 | − | 0.992556i | 0.103349 | − | 0.0867200i | −0.589649 | − | 0.807660i | \(-0.700734\pi\) |
0.692998 | + | 0.720940i | \(0.256289\pi\) | |||||||
\(132\) | −0.0889600 | − | 0.259671i | −0.00774298 | − | 0.0226015i | ||||
\(133\) | −0.610086 | − | 4.65806i | −0.0529011 | − | 0.403905i | ||||
\(134\) | − | 16.2967i | − | 1.40782i | ||||||
\(135\) | 12.1030 | + | 5.20425i | 1.04166 | + | 0.447910i | ||||
\(136\) | − | 21.8636i | − | 1.87479i | ||||||
\(137\) | 4.78721 | + | 13.1528i | 0.408999 | + | 1.12372i | 0.957718 | + | 0.287709i | \(0.0928937\pi\) |
−0.548718 | + | 0.836007i | \(0.684884\pi\) | |||||||
\(138\) | −11.2029 | − | 9.76918i | −0.953654 | − | 0.831608i | ||||
\(139\) | 11.1981 | + | 13.3454i | 0.949810 | + | 1.13194i | 0.991144 | + | 0.132794i | \(0.0423949\pi\) |
−0.0413335 | + | 0.999145i | \(0.513161\pi\) | |||||||
\(140\) | −0.0224079 | + | 0.505490i | −0.00189381 | + | 0.0427217i | ||||
\(141\) | −5.69044 | + | 4.59338i | −0.479222 | + | 0.386833i | ||||
\(142\) | −15.1941 | − | 12.7494i | −1.27506 | − | 1.06991i | ||||
\(143\) | 0.101686 | − | 0.176126i | 0.00850343 | − | 0.0147284i | ||||
\(144\) | 6.62261 | − | 10.5253i | 0.551884 | − | 0.877112i | ||||
\(145\) | −3.67924 | + | 2.12421i | −0.305544 | + | 0.176406i | ||||
\(146\) | 3.47364 | − | 19.7000i | 0.287481 | − | 1.63038i | ||||
\(147\) | −10.8819 | − | 5.34644i | −0.897523 | − | 0.440967i | ||||
\(148\) | 0.266850 | + | 0.0971254i | 0.0219349 | + | 0.00798366i | ||||
\(149\) | 1.16714 | − | 3.20670i | 0.0956160 | − | 0.262703i | −0.882659 | − | 0.470014i | \(-0.844249\pi\) |
0.978275 | + | 0.207311i | \(0.0664712\pi\) | |||||||
\(150\) | 3.12002 | − | 1.72311i | 0.254749 | − | 0.140692i | ||||
\(151\) | 2.20278 | − | 12.4926i | 0.179260 | − | 1.01663i | −0.753852 | − | 0.657044i | \(-0.771806\pi\) |
0.933111 | − | 0.359587i | \(-0.117083\pi\) | |||||||
\(152\) | 2.46154 | + | 4.26352i | 0.199658 | + | 0.345817i | ||||
\(153\) | 3.21945 | + | 23.4367i | 0.260277 | + | 1.89474i | ||||
\(154\) | 5.41408 | − | 5.90053i | 0.436279 | − | 0.475478i | ||||
\(155\) | −2.32268 | + | 2.76807i | −0.186563 | + | 0.222337i | ||||
\(156\) | −0.0124938 | + | 0.00195890i | −0.00100031 | + | 0.000156837i | ||||
\(157\) | 14.4524 | − | 2.54834i | 1.15343 | − | 0.203380i | 0.435955 | − | 0.899969i | \(-0.356411\pi\) |
0.717471 | + | 0.696589i | \(0.245300\pi\) | |||||||
\(158\) | −5.73960 | − | 6.84019i | −0.456618 | − | 0.544176i | ||||
\(159\) | 15.7255 | + | 3.08214i | 1.24712 | + | 0.244430i | ||||
\(160\) | −0.369817 | − | 1.01607i | −0.0292366 | − | 0.0803270i | ||||
\(161\) | 3.42148 | − | 15.3848i | 0.269651 | − | 1.21249i | ||||
\(162\) | −5.34727 | + | 11.8117i | −0.420121 | + | 0.928015i | ||||
\(163\) | 1.55651 | 0.121915 | 0.0609577 | − | 0.998140i | \(-0.480585\pi\) | ||||
0.0609577 | + | 0.998140i | \(0.480585\pi\) | |||||||
\(164\) | −0.196135 | + | 0.0713873i | −0.0153156 | + | 0.00557441i | ||||
\(165\) | −9.05418 | − | 1.77458i | −0.704867 | − | 0.138151i | ||||
\(166\) | −8.55069 | − | 10.1903i | −0.663662 | − | 0.790922i | ||||
\(167\) | −0.221778 | − | 1.25777i | −0.0171617 | − | 0.0973290i | 0.975024 | − | 0.222101i | \(-0.0712913\pi\) |
−0.992186 | + | 0.124772i | \(0.960180\pi\) | |||||||
\(168\) | 12.6802 | + | 0.803856i | 0.978300 | + | 0.0620188i | ||||
\(169\) | 9.95140 | + | 8.35022i | 0.765492 | + | 0.642324i | ||||
\(170\) | 24.9442 | + | 14.4016i | 1.91314 | + | 1.10455i | ||||
\(171\) | −3.26646 | − | 4.20781i | −0.249792 | − | 0.321779i | ||||
\(172\) | 0.224830 | + | 0.389417i | 0.0171431 | + | 0.0296928i | ||||
\(173\) | −1.16666 | + | 6.61644i | −0.0886992 | + | 0.503038i | 0.907798 | + | 0.419408i | \(0.137762\pi\) |
−0.996497 | + | 0.0836300i | \(0.973349\pi\) | |||||||
\(174\) | −2.02134 | − | 3.66002i | −0.153238 | − | 0.277466i | ||||
\(175\) | 3.18598 | + | 2.03268i | 0.240838 | + | 0.153656i | ||||
\(176\) | −2.97863 | + | 8.18371i | −0.224523 | + | 0.616871i | ||||
\(177\) | −12.7920 | − | 0.243202i | −0.961506 | − | 0.0182802i | ||||
\(178\) | 17.8330 | + | 3.14443i | 1.33664 | + | 0.235685i | ||||
\(179\) | −2.71116 | + | 1.56529i | −0.202642 | + | 0.116995i | −0.597887 | − | 0.801580i | \(-0.703993\pi\) |
0.395245 | + | 0.918576i | \(0.370660\pi\) | |||||||
\(180\) | 0.267774 | + | 0.507413i | 0.0199587 | + | 0.0378204i | ||||
\(181\) | −3.24378 | − | 1.87280i | −0.241108 | − | 0.139204i | 0.374578 | − | 0.927196i | \(-0.377788\pi\) |
−0.615686 | + | 0.787992i | \(0.711121\pi\) | |||||||
\(182\) | −0.224410 | − | 0.292861i | −0.0166344 | − | 0.0217083i | ||||
\(183\) | 13.2159 | + | 16.3723i | 0.976949 | + | 1.21028i | ||||
\(184\) | 2.86802 | + | 16.2654i | 0.211433 | + | 1.19910i | ||||
\(185\) | 7.31221 | − | 6.13567i | 0.537604 | − | 0.451104i | ||||
\(186\) | −2.68026 | − | 2.33725i | −0.196526 | − | 0.171376i | ||||
\(187\) | −5.66642 | − | 15.5684i | −0.414369 | − | 1.13847i | ||||
\(188\) | −0.318474 | −0.0232271 | ||||||||
\(189\) | −13.7109 | + | 1.00549i | −0.997322 | + | 0.0731384i | ||||
\(190\) | −6.48567 | −0.470520 | ||||||||
\(191\) | −0.477709 | − | 1.31249i | −0.0345658 | − | 0.0949687i | 0.921209 | − | 0.389068i | \(-0.127203\pi\) |
−0.955775 | + | 0.294099i | \(0.904981\pi\) | |||||||
\(192\) | −12.5775 | + | 4.30890i | −0.907705 | + | 0.310968i | ||||
\(193\) | 0.851514 | − | 0.714505i | 0.0612933 | − | 0.0514312i | −0.611626 | − | 0.791147i | \(-0.709484\pi\) |
0.672920 | + | 0.739716i | \(0.265040\pi\) | |||||||
\(194\) | −3.83204 | − | 21.7326i | −0.275125 | − | 1.56031i | ||||
\(195\) | −0.152956 | + | 0.396619i | −0.0109534 | + | 0.0284025i | ||||
\(196\) | −0.222505 | − | 0.478830i | −0.0158932 | − | 0.0342022i | ||||
\(197\) | 3.19302 | + | 1.84349i | 0.227493 | + | 0.131343i | 0.609415 | − | 0.792851i | \(-0.291404\pi\) |
−0.381922 | + | 0.924195i | \(0.624738\pi\) | |||||||
\(198\) | 1.91553 | − | 8.87590i | 0.136131 | − | 0.630783i | ||||
\(199\) | 15.0783 | − | 8.70545i | 1.06887 | − | 0.617113i | 0.140998 | − | 0.990010i | \(-0.454969\pi\) |
0.927873 | + | 0.372897i | \(0.121636\pi\) | |||||||
\(200\) | −3.90022 | − | 0.687714i | −0.275787 | − | 0.0486287i | ||||
\(201\) | 10.1174 | − | 16.7789i | 0.713625 | − | 1.18350i | ||||
\(202\) | 5.18444 | − | 14.2441i | 0.364776 | − | 1.00221i | ||||
\(203\) | 2.38449 | − | 3.73740i | 0.167358 | − | 0.262314i | ||||
\(204\) | −0.531980 | + | 0.882251i | −0.0372461 | + | 0.0617699i | ||||
\(205\) | −1.21830 | + | 6.90930i | −0.0850894 | + | 0.482566i | ||||
\(206\) | 5.88947 | + | 10.2009i | 0.410338 | + | 0.710727i | ||||
\(207\) | −5.46947 | − | 17.0133i | −0.380154 | − | 1.18251i | ||||
\(208\) | 0.347490 | + | 0.200624i | 0.0240941 | + | 0.0139107i | ||||
\(209\) | 2.85776 | + | 2.39795i | 0.197675 | + | 0.165869i | ||||
\(210\) | −9.26957 | + | 13.9374i | −0.639661 | + | 0.961770i | ||||
\(211\) | −0.368145 | − | 2.08786i | −0.0253442 | − | 0.143734i | 0.969510 | − | 0.245052i | \(-0.0788051\pi\) |
−0.994854 | + | 0.101318i | \(0.967694\pi\) | |||||||
\(212\) | 0.448576 | + | 0.534591i | 0.0308083 | + | 0.0367159i | ||||
\(213\) | −7.72863 | − | 22.5596i | −0.529557 | − | 1.54576i | ||||
\(214\) | −11.7094 | + | 4.26188i | −0.800439 | + | 0.291336i | ||||
\(215\) | 15.1146 | 1.03081 | ||||||||
\(216\) | 12.8670 | − | 6.48058i | 0.875490 | − | 0.440947i | ||||
\(217\) | 0.818580 | − | 3.68076i | 0.0555689 | − | 0.249866i | ||||
\(218\) | −1.16099 | − | 3.18981i | −0.0786325 | − | 0.216041i | ||||
\(219\) | 15.8067 | − | 18.1265i | 1.06812 | − | 1.22487i | ||||
\(220\) | −0.258273 | − | 0.307798i | −0.0174128 | − | 0.0207517i | ||||
\(221\) | −0.751719 | + | 0.132548i | −0.0505661 | + | 0.00891617i | ||||
\(222\) | 5.90056 | + | 7.30982i | 0.396020 | + | 0.490603i | ||||
\(223\) | −15.8310 | + | 18.8667i | −1.06012 | + | 1.26341i | −0.0967321 | + | 0.995310i | \(0.530839\pi\) |
−0.963392 | + | 0.268096i | \(0.913605\pi\) | |||||||
\(224\) | 0.831378 | + | 0.762838i | 0.0555488 | + | 0.0509693i | ||||
\(225\) | 4.28210 | + | 0.162882i | 0.285473 | + | 0.0108588i | ||||
\(226\) | −6.65999 | − | 11.5354i | −0.443016 | − | 0.767326i | ||||
\(227\) | 0.274602 | − | 1.55735i | 0.0182260 | − | 0.103365i | −0.974338 | − | 0.225091i | \(-0.927732\pi\) |
0.992564 | + | 0.121727i | \(0.0388431\pi\) | |||||||
\(228\) | 0.00440959 | − | 0.231937i | 0.000292032 | − | 0.0153604i | ||||
\(229\) | −4.53395 | + | 12.4569i | −0.299612 | + | 0.823176i | 0.694953 | + | 0.719055i | \(0.255425\pi\) |
−0.994565 | + | 0.104121i | \(0.966797\pi\) | |||||||
\(230\) | −20.4463 | − | 7.44186i | −1.34819 | − | 0.490702i | ||||
\(231\) | 9.23749 | − | 2.71394i | 0.607782 | − | 0.178564i | ||||
\(232\) | −0.806741 | + | 4.57526i | −0.0529651 | + | 0.300380i | ||||
\(233\) | −13.6803 | + | 7.89830i | −0.896223 | + | 0.517435i | −0.875973 | − | 0.482360i | \(-0.839780\pi\) |
−0.0202503 | + | 0.999795i | \(0.506446\pi\) | |||||||
\(234\) | −0.387402 | − | 0.157925i | −0.0253253 | − | 0.0103239i | ||||
\(235\) | −5.35251 | + | 9.27083i | −0.349160 | + | 0.604762i | ||||
\(236\) | −0.426824 | − | 0.358148i | −0.0277839 | − | 0.0233134i | ||||
\(237\) | −1.66289 | − | 10.6059i | −0.108016 | − | 0.688927i | ||||
\(238\) | −30.0269 | − | 1.33107i | −1.94636 | − | 0.0862802i | ||||
\(239\) | −2.51826 | − | 3.00115i | −0.162893 | − | 0.194128i | 0.678424 | − | 0.734671i | \(-0.262663\pi\) |
−0.841317 | + | 0.540543i | \(0.818219\pi\) | |||||||
\(240\) | 3.50119 | − | 17.8636i | 0.226001 | − | 1.15309i | ||||
\(241\) | 8.25538 | + | 22.6815i | 0.531776 | + | 1.46104i | 0.856956 | + | 0.515390i | \(0.172353\pi\) |
−0.325180 | + | 0.945652i | \(0.605425\pi\) | |||||||
\(242\) | − | 9.48784i | − | 0.609901i | ||||||
\(243\) | −12.8385 | + | 8.84153i | −0.823591 | + | 0.567184i | ||||
\(244\) | 0.916303i | 0.0586603i | ||||||||
\(245\) | −17.6784 | − | 1.57042i | −1.12943 | − | 0.100330i | ||||
\(246\) | −6.77579 | − | 1.32803i | −0.432009 | − | 0.0846720i | ||||
\(247\) | 0.131666 | − | 0.110481i | 0.00837770 | − | 0.00702973i | ||||
\(248\) | 0.686166 | + | 3.89144i | 0.0435716 | + | 0.247107i | ||||
\(249\) | −2.47733 | − | 15.8004i | −0.156994 | − | 1.00131i | ||||
\(250\) | −8.38563 | + | 9.99361i | −0.530354 | + | 0.632051i | ||||
\(251\) | −3.34189 | + | 5.78833i | −0.210938 | + | 0.365356i | −0.952008 | − | 0.306072i | \(-0.900985\pi\) |
0.741070 | + | 0.671428i | \(0.234319\pi\) | |||||||
\(252\) | −0.492118 | − | 0.340969i | −0.0310005 | − | 0.0214790i | ||||
\(253\) | 6.25773 | + | 10.8387i | 0.393420 | + | 0.681424i | ||||
\(254\) | 25.5727 | + | 4.50915i | 1.60457 | + | 0.282929i | ||||
\(255\) | 16.7416 | + | 30.3138i | 1.04840 | + | 1.89832i | ||||
\(256\) | −1.69873 | − | 0.618288i | −0.106171 | − | 0.0386430i | ||||
\(257\) | −19.9314 | − | 7.25443i | −1.24329 | − | 0.452519i | −0.365158 | − | 0.930945i | \(-0.618985\pi\) |
−0.878128 | + | 0.478426i | \(0.841207\pi\) | |||||||
\(258\) | −0.282755 | + | 14.8724i | −0.0176036 | + | 0.925918i | ||||
\(259\) | −3.81795 | + | 9.19999i | −0.237236 | + | 0.571660i | ||||
\(260\) | −0.0160321 | + | 0.00925613i | −0.000994268 | + | 0.000574041i | ||||
\(261\) | 0.191073 | − | 5.02323i | 0.0118271 | − | 0.310930i | ||||
\(262\) | 1.92651 | + | 1.11227i | 0.119020 | + | 0.0687165i | ||||
\(263\) | 7.88441 | − | 9.39628i | 0.486174 | − | 0.579399i | −0.466066 | − | 0.884750i | \(-0.654329\pi\) |
0.952240 | + | 0.305350i | \(0.0987736\pi\) | |||||||
\(264\) | −7.85091 | + | 6.33733i | −0.483190 | + | 0.390036i | ||||
\(265\) | 23.1011 | − | 4.07335i | 1.41909 | − | 0.250224i | ||||
\(266\) | 6.00526 | − | 3.12105i | 0.368206 | − | 0.191364i | ||||
\(267\) | 16.4086 | + | 14.3086i | 1.00419 | + | 0.875674i | ||||
\(268\) | 0.801806 | − | 0.291833i | 0.0489781 | − | 0.0178266i | ||||
\(269\) | −12.8959 | −0.786276 | −0.393138 | − | 0.919480i | \(-0.628610\pi\) | ||||
−0.393138 | + | 0.919480i | \(0.628610\pi\) | |||||||
\(270\) | −1.08180 | + | 18.9488i | −0.0658365 | + | 1.15318i | ||||
\(271\) | 15.7114i | 0.954402i | 0.878794 | + | 0.477201i | \(0.158349\pi\) | ||||
−0.878794 | + | 0.477201i | \(0.841651\pi\) | |||||||
\(272\) | 30.7158 | − | 11.1797i | 1.86242 | − | 0.677866i | ||||
\(273\) | −0.0492356 | − | 0.440847i | −0.00297987 | − | 0.0266813i | ||||
\(274\) | −15.4468 | + | 12.9614i | −0.933177 | + | 0.783028i | ||||
\(275\) | −2.95545 | + | 0.521125i | −0.178220 | + | 0.0314250i | ||||
\(276\) | 0.280033 | − | 0.726131i | 0.0168560 | − | 0.0437079i | ||||
\(277\) | 10.1616 | + | 8.52659i | 0.610551 | + | 0.512313i | 0.894817 | − | 0.446432i | \(-0.147306\pi\) |
−0.284267 | + | 0.958745i | \(0.591750\pi\) | |||||||
\(278\) | −12.5488 | + | 21.7351i | −0.752624 | + | 1.30358i | ||||
\(279\) | −1.30856 | − | 4.07039i | −0.0783412 | − | 0.243688i | ||||
\(280\) | 17.7419 | − | 5.58098i | 1.06028 | − | 0.333527i | ||||
\(281\) | −13.8620 | − | 2.44425i | −0.826938 | − | 0.145811i | −0.255867 | − | 0.966712i | \(-0.582361\pi\) |
−0.571071 | + | 0.820901i | \(0.693472\pi\) | |||||||
\(282\) | −9.02214 | − | 5.44018i | −0.537261 | − | 0.323958i | ||||
\(283\) | 2.86418 | − | 7.86927i | 0.170258 | − | 0.467779i | −0.824991 | − | 0.565146i | \(-0.808820\pi\) |
0.995249 | + | 0.0973668i | \(0.0310420\pi\) | |||||||
\(284\) | 0.355188 | − | 0.975871i | 0.0210765 | − | 0.0579073i | ||||
\(285\) | −6.67760 | − | 4.02646i | −0.395547 | − | 0.238507i | ||||
\(286\) | 0.288534 | + | 0.0508764i | 0.0170614 | + | 0.00300838i | ||||
\(287\) | −2.19686 | − | 6.98378i | −0.129676 | − | 0.412240i | ||||
\(288\) | 1.25061 | + | 0.269896i | 0.0736926 | + | 0.0159038i | ||||
\(289\) | −22.5913 | + | 39.1293i | −1.32890 | + | 2.30172i | ||||
\(290\) | −4.68851 | − | 3.93413i | −0.275319 | − | 0.231020i | ||||
\(291\) | 9.54669 | − | 24.7547i | 0.559637 | − | 1.45115i | ||||
\(292\) | 1.03146 | − | 0.181874i | 0.0603614 | − | 0.0106433i | ||||
\(293\) | −13.8218 | + | 11.5979i | −0.807477 | + | 0.677554i | −0.950004 | − | 0.312237i | \(-0.898922\pi\) |
0.142527 | + | 0.989791i | \(0.454477\pi\) | |||||||
\(294\) | 1.87597 | − | 17.3657i | 0.109409 | − | 1.01279i | ||||
\(295\) | −17.5992 | + | 6.40560i | −1.02467 | + | 0.372948i | ||||
\(296\) | − | 10.4383i | − | 0.606716i | ||||||
\(297\) | 7.48259 | − | 7.94935i | 0.434184 | − | 0.461268i | ||||
\(298\) | 4.91616 | 0.284785 | ||||||||
\(299\) | 0.541851 | − | 0.197218i | 0.0313361 | − | 0.0114054i | ||||
\(300\) | 0.140650 | + | 0.122650i | 0.00812043 | + | 0.00708120i | ||||
\(301\) | −13.9951 | + | 7.27351i | −0.806662 | + | 0.419238i | ||||
\(302\) | 17.9972 | − | 3.17340i | 1.03563 | − | 0.182609i | ||||
\(303\) | 14.1810 | − | 11.4470i | 0.814676 | − | 0.657615i | ||||
\(304\) | −4.73107 | + | 5.63827i | −0.271345 | + | 0.323377i | ||||
\(305\) | 26.6737 | + | 15.4001i | 1.52733 | + | 0.881805i | ||||
\(306\) | −30.1412 | + | 15.9062i | −1.72306 | + | 0.909298i | ||||
\(307\) | −1.13352 | + | 0.654438i | −0.0646934 | + | 0.0373507i | −0.531998 | − | 0.846746i | \(-0.678559\pi\) |
0.467304 | + | 0.884096i | \(0.345225\pi\) | |||||||
\(308\) | 0.387262 | + | 0.160712i | 0.0220663 | + | 0.00915740i | ||||
\(309\) | −0.269192 | + | 14.1590i | −0.0153138 | + | 0.805480i | ||||
\(310\) | −4.89173 | − | 1.78044i | −0.277832 | − | 0.101122i | ||||
\(311\) | 22.9897 | + | 8.36756i | 1.30363 | + | 0.474481i | 0.898176 | − | 0.439637i | \(-0.144893\pi\) |
0.405450 | + | 0.914117i | \(0.367115\pi\) | |||||||
\(312\) | 0.224734 | + | 0.406922i | 0.0127230 | + | 0.0230374i | ||||
\(313\) | 0.0802239 | + | 0.0141456i | 0.00453453 | + | 0.000799559i | 0.175915 | − | 0.984405i | \(-0.443712\pi\) |
−0.171380 | + | 0.985205i | \(0.554823\pi\) | |||||||
\(314\) | 10.5709 | + | 18.3093i | 0.596550 | + | 1.03326i | ||||
\(315\) | −18.1966 | + | 8.59504i | −1.02526 | + | 0.484275i | ||||
\(316\) | 0.233759 | − | 0.404882i | 0.0131500 | − | 0.0227764i | ||||
\(317\) | 8.06845 | − | 9.61560i | 0.453169 | − | 0.540066i | −0.490288 | − | 0.871560i | \(-0.663108\pi\) |
0.943457 | + | 0.331495i | \(0.107553\pi\) | |||||||
\(318\) | 3.57592 | + | 22.8071i | 0.200528 | + | 1.27896i | ||||
\(319\) | 0.611320 | + | 3.46697i | 0.0342273 | + | 0.194113i | ||||
\(320\) | −14.9086 | + | 12.5098i | −0.833418 | + | 0.699321i | ||||
\(321\) | −14.7018 | − | 2.88149i | −0.820575 | − | 0.160829i | ||||
\(322\) | 22.5130 | − | 2.94863i | 1.25460 | − | 0.164321i | ||||
\(323\) | − | 14.0018i | − | 0.779081i | ||||||
\(324\) | −0.676899 | − | 0.0515701i | −0.0376055 | − | 0.00286500i | ||||
\(325\) | 0.138267i | 0.00766969i | ||||||||
\(326\) | 0.766934 | + | 2.10713i | 0.0424765 | + | 0.116703i | ||||
\(327\) | 0.784959 | − | 4.00498i | 0.0434084 | − | 0.221476i | ||||
\(328\) | 4.93158 | + | 5.87723i | 0.272301 | + | 0.324516i | ||||
\(329\) | 0.494706 | − | 11.1599i | 0.0272741 | − | 0.615264i | ||||
\(330\) | −2.05888 | − | 13.1315i | −0.113338 | − | 0.722866i | ||||
\(331\) | 8.49272 | + | 7.12624i | 0.466802 | + | 0.391693i | 0.845626 | − | 0.533775i | \(-0.179227\pi\) |
−0.378824 | + | 0.925469i | \(0.623672\pi\) | |||||||
\(332\) | 0.348247 | − | 0.603182i | 0.0191126 | − | 0.0331039i | ||||
\(333\) | 1.53706 | + | 11.1894i | 0.0842303 | + | 0.613173i | ||||
\(334\) | 1.59343 | − | 0.919969i | 0.0871888 | − | 0.0503385i | ||||
\(335\) | 4.98043 | − | 28.2454i | 0.272110 | − | 1.54321i | ||||
\(336\) | 5.35452 | + | 18.2253i | 0.292113 | + | 0.994269i | ||||
\(337\) | −0.468324 | − | 0.170456i | −0.0255113 | − | 0.00928534i | 0.329233 | − | 0.944249i | \(-0.393210\pi\) |
−0.354744 | + | 0.934963i | \(0.615432\pi\) | |||||||
\(338\) | −6.40082 | + | 17.5861i | −0.348159 | + | 0.956559i | ||||
\(339\) | 0.304411 | − | 16.0115i | 0.0165333 | − | 0.869625i | ||||
\(340\) | −0.261875 | + | 1.48517i | −0.0142022 | + | 0.0805445i | ||||
\(341\) | 1.49714 | + | 2.59313i | 0.0810749 | + | 0.140426i | ||||
\(342\) | 4.08687 | − | 6.49528i | 0.220992 | − | 0.351224i | ||||
\(343\) | 17.1246 | − | 7.05315i | 0.924643 | − | 0.380835i | ||||
\(344\) | 10.6243 | − | 12.6616i | 0.572825 | − | 0.682667i | ||||
\(345\) | −16.4313 | − | 20.3557i | −0.884632 | − | 1.09591i | ||||
\(346\) | −9.53187 | + | 1.68073i | −0.512437 | + | 0.0903564i | ||||
\(347\) | 23.1420 | + | 27.5795i | 1.24233 | + | 1.48055i | 0.818190 | + | 0.574948i | \(0.194978\pi\) |
0.424136 | + | 0.905599i | \(0.360578\pi\) | |||||||
\(348\) | 0.143878 | − | 0.164993i | 0.00771266 | − | 0.00884457i | ||||
\(349\) | −8.71674 | − | 23.9491i | −0.466597 | − | 1.28196i | −0.920441 | − | 0.390882i | \(-0.872170\pi\) |
0.453844 | − | 0.891081i | \(-0.350052\pi\) | |||||||
\(350\) | −1.18193 | + | 5.31459i | −0.0631771 | + | 0.284077i | ||||
\(351\) | −0.300823 | − | 0.403108i | −0.0160567 | − | 0.0215163i | ||||
\(352\) | −0.895997 | −0.0477568 | ||||||||
\(353\) | 14.7098 | − | 5.35392i | 0.782922 | − | 0.284960i | 0.0805314 | − | 0.996752i | \(-0.474338\pi\) |
0.702391 | + | 0.711792i | \(0.252116\pi\) | |||||||
\(354\) | −5.97372 | − | 17.4371i | −0.317500 | − | 0.926769i | ||||
\(355\) | −22.4382 | − | 26.7408i | −1.19089 | − | 1.41925i | ||||
\(356\) | 0.164637 | + | 0.933701i | 0.00872573 | + | 0.0494861i | ||||
\(357\) | −30.0892 | − | 20.0119i | −1.59249 | − | 1.05914i | ||||
\(358\) | −3.45488 | − | 2.89899i | −0.182596 | − | 0.153216i | ||||
\(359\) | −4.91929 | − | 2.84015i | −0.259630 | − | 0.149898i | 0.364536 | − | 0.931189i | \(-0.381228\pi\) |
−0.624166 | + | 0.781292i | \(0.714561\pi\) | |||||||
\(360\) | 14.1602 | − | 15.6283i | 0.746306 | − | 0.823686i | ||||
\(361\) | −7.92359 | − | 13.7241i | −0.417031 | − | 0.722319i | ||||
\(362\) | 0.937012 | − | 5.31406i | 0.0492482 | − | 0.279301i | ||||
\(363\) | 5.89029 | − | 9.76861i | 0.309160 | − | 0.512719i | ||||
\(364\) | 0.0103903 | − | 0.0162855i | 0.000544599 | − | 0.000853593i | ||||
\(365\) | 12.0410 | − | 33.0825i | 0.630257 | − | 1.73162i | ||||
\(366\) | −15.6523 | + | 25.9582i | −0.818158 | + | 1.35686i | ||||
\(367\) | −18.6146 | − | 3.28226i | −0.971675 | − | 0.171332i | −0.334791 | − | 0.942292i | \(-0.608666\pi\) |
−0.636884 | + | 0.770960i | \(0.719777\pi\) | |||||||
\(368\) | −21.3844 | + | 12.3463i | −1.11474 | + | 0.643595i | ||||
\(369\) | −6.15183 | − | 5.57391i | −0.320252 | − | 0.290166i | ||||
\(370\) | 11.9091 | + | 6.87573i | 0.619125 | + | 0.357452i | ||||
\(371\) | −19.4298 | + | 14.8884i | −1.00874 | + | 0.772968i | ||||
\(372\) | 0.0669971 | − | 0.173725i | 0.00347364 | − | 0.00900721i | ||||
\(373\) | −2.60608 | − | 14.7798i | −0.134938 | − | 0.765269i | −0.974903 | − | 0.222629i | \(-0.928536\pi\) |
0.839966 | − | 0.542640i | \(-0.182575\pi\) | |||||||
\(374\) | 18.2837 | − | 15.3419i | 0.945429 | − | 0.793309i | ||||
\(375\) | −14.8381 | + | 5.08334i | −0.766234 | + | 0.262502i | ||||
\(376\) | 4.00383 | + | 11.0004i | 0.206482 | + | 0.567304i | ||||
\(377\) | 0.162198 | 0.00835363 | ||||||||
\(378\) | −8.11690 | − | 18.0658i | −0.417488 | − | 0.929203i | ||||
\(379\) | −2.87213 | −0.147532 | −0.0737658 | − | 0.997276i | \(-0.523502\pi\) | ||||
−0.0737658 | + | 0.997276i | \(0.523502\pi\) | |||||||
\(380\) | −0.116142 | − | 0.319099i | −0.00595798 | − | 0.0163694i | ||||
\(381\) | 23.5301 | + | 20.5187i | 1.20548 | + | 1.05121i | ||||
\(382\) | 1.54141 | − | 1.29340i | 0.0788656 | − | 0.0661761i | ||||
\(383\) | 2.37952 | + | 13.4949i | 0.121588 | + | 0.689558i | 0.983276 | + | 0.182121i | \(0.0582961\pi\) |
−0.861689 | + | 0.507438i | \(0.830593\pi\) | |||||||
\(384\) | −12.9584 | − | 16.0533i | −0.661280 | − | 0.819217i | ||||
\(385\) | 11.1869 | − | 8.57220i | 0.570140 | − | 0.436880i | ||||
\(386\) | 1.38683 | + | 0.800685i | 0.0705876 | + | 0.0407538i | ||||
\(387\) | −9.52430 | + | 15.1370i | −0.484147 | + | 0.769458i | ||||
\(388\) | 1.00063 | − | 0.577716i | 0.0507994 | − | 0.0293291i | ||||
\(389\) | −14.2770 | − | 2.51742i | −0.723872 | − | 0.127638i | −0.200440 | − | 0.979706i | \(-0.564237\pi\) |
−0.523432 | + | 0.852068i | \(0.675348\pi\) | |||||||
\(390\) | −0.612290 | − | 0.0116409i | −0.0310045 | − | 0.000589458i | ||||
\(391\) | 16.0661 | − | 44.1413i | 0.812498 | − | 2.23232i | ||||
\(392\) | −13.7420 | + | 13.7054i | −0.694075 | + | 0.692226i | ||||
\(393\) | 1.29300 | + | 2.34122i | 0.0652231 | + | 0.118099i | ||||
\(394\) | −0.922349 | + | 5.23090i | −0.0464673 | + | 0.263529i | ||||
\(395\) | −7.85745 | − | 13.6095i | −0.395351 | − | 0.684768i | ||||
\(396\) | 0.471002 | − | 0.0647005i | 0.0236687 | − | 0.00325132i | ||||
\(397\) | 30.4332 | + | 17.5706i | 1.52740 | + | 0.881845i | 0.999470 | + | 0.0325575i | \(0.0103652\pi\) |
0.527931 | + | 0.849288i | \(0.322968\pi\) | |||||||
\(398\) | 19.2145 | + | 16.1229i | 0.963135 | + | 0.808167i | ||||
\(399\) | 8.12060 | + | 0.514801i | 0.406539 | + | 0.0257723i | ||||
\(400\) | −1.02816 | − | 5.83100i | −0.0514082 | − | 0.291550i | ||||
\(401\) | 5.80377 | + | 6.91666i | 0.289826 | + | 0.345402i | 0.891237 | − | 0.453539i | \(-0.149839\pi\) |
−0.601410 | + | 0.798940i | \(0.705394\pi\) | |||||||
\(402\) | 27.6997 | + | 5.42902i | 1.38153 | + | 0.270775i | ||||
\(403\) | 0.129636 | − | 0.0471838i | 0.00645765 | − | 0.00235039i | ||||
\(404\) | 0.793660 | 0.0394861 | ||||||||
\(405\) | −12.8777 | + | 18.8379i | −0.639897 | + | 0.936062i | ||||
\(406\) | 6.23442 | + | 1.38650i | 0.309409 | + | 0.0688108i | ||||
\(407\) | −2.70531 | − | 7.43278i | −0.134097 | − | 0.368429i | ||||
\(408\) | 37.1619 | + | 7.28358i | 1.83979 | + | 0.360591i | ||||
\(409\) | −7.60537 | − | 9.06373i | −0.376062 | − | 0.448173i | 0.544506 | − | 0.838757i | \(-0.316717\pi\) |
−0.920567 | + | 0.390585i | \(0.872273\pi\) | |||||||
\(410\) | −9.95377 | + | 1.75512i | −0.491582 | + | 0.0866791i | ||||
\(411\) | −23.9507 | + | 3.75522i | −1.18140 | + | 0.185231i | ||||
\(412\) | −0.396422 | + | 0.472437i | −0.0195303 | + | 0.0232753i | ||||
\(413\) | 13.2131 | − | 14.4003i | 0.650174 | − | 0.708591i | ||||
\(414\) | 20.3369 | − | 15.7872i | 0.999504 | − | 0.775900i | ||||
\(415\) | −11.7058 | − | 20.2750i | −0.574615 | − | 0.995263i | ||||
\(416\) | −0.00716844 | + | 0.0406542i | −0.000351461 | + | 0.00199324i | ||||
\(417\) | −26.4138 | + | 14.5877i | −1.29349 | + | 0.714363i | ||||
\(418\) | −1.83814 | + | 5.05024i | −0.0899061 | + | 0.247015i | ||||
\(419\) | −18.4999 | − | 6.73342i | −0.903780 | − | 0.328949i | −0.152014 | − | 0.988378i | \(-0.548576\pi\) |
−0.751767 | + | 0.659429i | \(0.770798\pi\) | |||||||
\(420\) | −0.851722 | − | 0.206484i | −0.0415598 | − | 0.0100754i | ||||
\(421\) | 2.28747 | − | 12.9729i | 0.111485 | − | 0.632260i | −0.876946 | − | 0.480588i | \(-0.840423\pi\) |
0.988431 | − | 0.151672i | \(-0.0484657\pi\) | |||||||
\(422\) | 2.64505 | − | 1.52712i | 0.128759 | − | 0.0743390i | ||||
\(423\) | −5.91173 | − | 11.2023i | −0.287438 | − | 0.544676i | ||||
\(424\) | 12.8259 | − | 22.2151i | 0.622881 | − | 1.07886i | ||||
\(425\) | 8.62855 | + | 7.24022i | 0.418546 | + | 0.351202i | ||||
\(426\) | 26.7320 | − | 21.5784i | 1.29517 | − | 1.04548i | ||||
\(427\) | −32.1088 | − | 1.42335i | −1.55385 | − | 0.0688808i | ||||
\(428\) | −0.419373 | − | 0.499790i | −0.0202712 | − | 0.0241583i | ||||
\(429\) | 0.265488 | + | 0.231511i | 0.0128179 | + | 0.0111775i | ||||
\(430\) | 7.44737 | + | 20.4615i | 0.359144 | + | 0.986741i | ||||
\(431\) | 18.5835i | 0.895137i | 0.894250 | + | 0.447568i | \(0.147710\pi\) | ||||
−0.894250 | + | 0.447568i | \(0.852290\pi\) | |||||||
\(432\) | 15.6838 | + | 14.7629i | 0.754588 | + | 0.710281i | ||||
\(433\) | 26.0198i | 1.25043i | 0.780451 | + | 0.625217i | \(0.214990\pi\) | ||||
−0.780451 | + | 0.625217i | \(0.785010\pi\) | |||||||
\(434\) | 5.38618 | − | 0.705451i | 0.258545 | − | 0.0338627i | ||||
\(435\) | −2.38485 | − | 6.96130i | −0.114345 | − | 0.333769i | ||||
\(436\) | 0.136150 | − | 0.114243i | 0.00652039 | − | 0.00547126i | ||||
\(437\) | 1.83673 | + | 10.4166i | 0.0878625 | + | 0.498293i | ||||
\(438\) | 32.3271 | + | 12.4670i | 1.54465 | + | 0.595696i | ||||
\(439\) | 8.67250 | − | 10.3355i | 0.413916 | − | 0.493286i | −0.518295 | − | 0.855202i | \(-0.673433\pi\) |
0.932211 | + | 0.361916i | \(0.117877\pi\) | |||||||
\(440\) | −7.38468 | + | 12.7906i | −0.352051 | + | 0.609770i | ||||
\(441\) | 12.7126 | − | 16.7150i | 0.605360 | − | 0.795952i | ||||
\(442\) | −0.549830 | − | 0.952333i | −0.0261527 | − | 0.0452979i | ||||
\(443\) | 8.97414 | + | 1.58238i | 0.426374 | + | 0.0751813i | 0.382718 | − | 0.923865i | \(-0.374988\pi\) |
0.0436564 | + | 0.999047i | \(0.486099\pi\) | |||||||
\(444\) | −0.253983 | + | 0.421212i | −0.0120535 | + | 0.0199898i | ||||
\(445\) | 29.9472 | + | 10.8999i | 1.41963 | + | 0.516704i | ||||
\(446\) | −33.3412 | − | 12.1352i | −1.57875 | − | 0.574619i | ||||
\(447\) | 5.06164 | + | 3.05207i | 0.239407 | + | 0.144358i | ||||
\(448\) | 7.78430 | − | 18.7576i | 0.367774 | − | 0.886212i | ||||
\(449\) | 9.47386 | − | 5.46974i | 0.447099 | − | 0.258133i | −0.259505 | − | 0.965742i | \(-0.583559\pi\) |
0.706604 | + | 0.707609i | \(0.250226\pi\) | |||||||
\(450\) | 1.88940 | + | 5.87717i | 0.0890672 | + | 0.277052i | ||||
\(451\) | 5.03482 | + | 2.90685i | 0.237080 | + | 0.136878i | ||||
\(452\) | 0.448286 | − | 0.534247i | 0.0210856 | − | 0.0251288i | ||||
\(453\) | 20.5000 | + | 7.90583i | 0.963172 | + | 0.371448i | ||||
\(454\) | 2.24357 | − | 0.395601i | 0.105296 | − | 0.0185665i | ||||
\(455\) | −0.299446 | − | 0.576169i | −0.0140383 | − | 0.0270112i | ||||
\(456\) | −8.06678 | + | 2.76358i | −0.377762 | + | 0.129416i | ||||
\(457\) | 6.62792 | − | 2.41237i | 0.310041 | − | 0.112846i | −0.182313 | − | 0.983240i | \(-0.558359\pi\) |
0.492355 | + | 0.870395i | \(0.336136\pi\) | |||||||
\(458\) | −19.0976 | −0.892372 | ||||||||
\(459\) | −40.9081 | − | 2.33549i | −1.90943 | − | 0.109011i | ||||
\(460\) | − | 1.13924i | − | 0.0531172i | ||||||
\(461\) | 19.9750 | − | 7.27029i | 0.930327 | − | 0.338611i | 0.167988 | − | 0.985789i | \(-0.446273\pi\) |
0.762339 | + | 0.647178i | \(0.224051\pi\) | |||||||
\(462\) | 8.22556 | + | 11.1681i | 0.382688 | + | 0.519585i | ||||
\(463\) | −16.3752 | + | 13.7404i | −0.761019 | + | 0.638570i | −0.938392 | − | 0.345573i | \(-0.887684\pi\) |
0.177373 | + | 0.984144i | \(0.443240\pi\) | |||||||
\(464\) | −6.84021 | + | 1.20611i | −0.317549 | + | 0.0559924i | ||||
\(465\) | −3.93115 | − | 4.87004i | −0.182303 | − | 0.225843i | ||||
\(466\) | −17.4330 | − | 14.6280i | −0.807567 | − | 0.677629i | ||||
\(467\) | 19.8901 | − | 34.4506i | 0.920403 | − | 1.59418i | 0.121611 | − | 0.992578i | \(-0.461194\pi\) |
0.798792 | − | 0.601607i | \(-0.205473\pi\) | |||||||
\(468\) | 0.000832588 | − | 0.0218885i | 3.84864e−5 | − | 0.00101179i | ||||
\(469\) | 8.98083 | + | 28.5499i | 0.414696 | + | 1.31831i | ||||
\(470\) | −15.1877 | − | 2.67801i | −0.700558 | − | 0.123527i | ||||
\(471\) | −0.483168 | + | 25.4138i | −0.0222632 | + | 1.17101i | ||||
\(472\) | −7.00481 | + | 19.2455i | −0.322422 | + | 0.885848i | ||||
\(473\) | 4.28371 | − | 11.7694i | 0.196965 | − | 0.541158i | ||||
\(474\) | 13.5384 | − | 7.47695i | 0.621840 | − | 0.343428i | ||||
\(475\) | −2.49776 | − | 0.440422i | −0.114605 | − | 0.0202080i | ||||
\(476\) | −0.472219 | − | 1.50118i | −0.0216441 | − | 0.0688064i | ||||
\(477\) | −10.4775 | + | 25.7021i | −0.479732 | + | 1.17682i | ||||
\(478\) | 2.82200 | − | 4.88785i | 0.129075 | − | 0.223565i | ||||
\(479\) | 5.68281 | + | 4.76844i | 0.259654 | + | 0.217876i | 0.763316 | − | 0.646025i | \(-0.223570\pi\) |
−0.503662 | + | 0.863901i | \(0.668014\pi\) | |||||||
\(480\) | 1.85022 | − | 0.290094i | 0.0844505 | − | 0.0132409i | ||||
\(481\) | −0.358893 | + | 0.0632825i | −0.0163641 | + | 0.00288543i | ||||
\(482\) | −26.6375 | + | 22.3515i | −1.21330 | + | 1.01808i | ||||
\(483\) | 25.0098 | + | 10.9408i | 1.13799 | + | 0.497822i | ||||
\(484\) | 0.466807 | − | 0.169904i | 0.0212185 | − | 0.00772290i | ||||
\(485\) | − | 38.8381i | − | 1.76355i | ||||||
\(486\) | −18.2951 | − | 13.0237i | −0.829884 | − | 0.590768i | ||||
\(487\) | 21.2597 | 0.963370 | 0.481685 | − | 0.876345i | \(-0.340025\pi\) | ||||
0.481685 | + | 0.876345i | \(0.340025\pi\) | |||||||
\(488\) | 31.6501 | − | 11.5197i | 1.43273 | − | 0.521472i | ||||
\(489\) | −0.518531 | + | 2.64562i | −0.0234488 | + | 0.119639i | ||||
\(490\) | −6.58464 | − | 24.7060i | −0.297464 | − | 1.11610i | ||||
\(491\) | −36.4703 | + | 6.43071i | −1.64588 | + | 0.290214i | −0.918324 | − | 0.395830i | \(-0.870457\pi\) |
−0.727560 | + | 0.686044i | \(0.759346\pi\) | |||||||
\(492\) | −0.0559980 | − | 0.357154i | −0.00252459 | − | 0.0161018i | ||||
\(493\) | 8.49333 | − | 10.1220i | 0.382520 | − | 0.455870i | ||||
\(494\) | 0.214439 | + | 0.123806i | 0.00964807 | + | 0.00557032i | ||||
\(495\) | 6.03256 | − | 14.7983i | 0.271143 | − | 0.665135i | ||||
\(496\) | −5.11616 | + | 2.95382i | −0.229722 | + | 0.132630i | ||||
\(497\) | 33.6444 | + | 13.9622i | 1.50916 | + | 0.626292i | ||||
\(498\) | 20.1692 | − | 11.1389i | 0.903801 | − | 0.499148i | ||||
\(499\) | −7.60426 | − | 2.76772i | −0.340413 | − | 0.123900i | 0.166156 | − | 0.986099i | \(-0.446864\pi\) |
−0.506569 | + | 0.862199i | \(0.669087\pi\) | |||||||
\(500\) | −0.641857 | − | 0.233617i | −0.0287047 | − | 0.0104477i | ||||
\(501\) | 2.21173 | + | 0.0420494i | 0.0988126 | + | 0.00187863i | ||||
\(502\) | −9.48261 | − | 1.67204i | −0.423229 | − | 0.0746268i | ||||
\(503\) | 10.5540 | + | 18.2800i | 0.470578 | + | 0.815065i | 0.999434 | − | 0.0336470i | \(-0.0107122\pi\) |
−0.528856 | + | 0.848712i | \(0.677379\pi\) | |||||||
\(504\) | −5.59057 | + | 21.2849i | −0.249024 | + | 0.948105i | ||||
\(505\) | 13.3388 | − | 23.1035i | 0.593570 | − | 1.02809i | ||||
\(506\) | −11.5896 | + | 13.8119i | −0.515220 | + | 0.614016i | ||||
\(507\) | −17.5081 | + | 14.1327i | −0.777564 | + | 0.627657i | ||||
\(508\) | 0.236091 | + | 1.33894i | 0.0104748 | + | 0.0594058i | ||||
\(509\) | −6.24961 | + | 5.24405i | −0.277009 | + | 0.232438i | −0.770698 | − | 0.637200i | \(-0.780092\pi\) |
0.493689 | + | 0.869638i | \(0.335648\pi\) | |||||||
\(510\) | −32.7884 | + | 37.6003i | −1.45189 | + | 1.66497i | ||||
\(511\) | 4.77092 | + | 36.4264i | 0.211053 | + | 1.61141i | ||||
\(512\) | 21.2181i | 0.937714i | ||||||||
\(513\) | 8.24024 | − | 4.15026i | 0.363815 | − | 0.183238i | ||||
\(514\) | − | 30.5566i | − | 1.34780i | ||||||
\(515\) | 7.09014 | + | 19.4800i | 0.312429 | + | 0.858392i | ||||
\(516\) | −0.736796 | + | 0.252417i | −0.0324356 | + | 0.0111120i | ||||
\(517\) | 5.70199 | + | 6.79536i | 0.250773 | + | 0.298860i | ||||
\(518\) | −14.3357 | − | 0.635489i | −0.629876 | − | 0.0279218i | ||||
\(519\) | −10.8574 | − | 4.18716i | −0.476586 | − | 0.183796i | ||||
\(520\) | 0.521271 | + | 0.437398i | 0.0228592 | + | 0.0191812i | ||||
\(521\) | −14.4293 | + | 24.9923i | −0.632160 | + | 1.09493i | 0.354950 | + | 0.934885i | \(0.384498\pi\) |
−0.987109 | + | 0.160047i | \(0.948835\pi\) | |||||||
\(522\) | 6.89437 | − | 2.21641i | 0.301758 | − | 0.0970098i | ||||
\(523\) | −4.15555 | + | 2.39921i | −0.181710 | + | 0.104910i | −0.588096 | − | 0.808791i | \(-0.700122\pi\) |
0.406386 | + | 0.913701i | \(0.366789\pi\) | |||||||
\(524\) | −0.0202253 | + | 0.114704i | −0.000883548 | + | 0.00501085i | ||||
\(525\) | −4.51634 | + | 4.73809i | −0.197109 | + | 0.206787i | ||||
\(526\) | 16.6051 | + | 6.04377i | 0.724017 | + | 0.263521i | ||||
\(527\) | 3.84377 | − | 10.5607i | 0.167437 | − | 0.460030i | ||||
\(528\) | −12.9177 | − | 7.78910i | −0.562169 | − | 0.338977i | ||||
\(529\) | −2.16806 | + | 12.2957i | −0.0942633 | + | 0.534594i | ||||
\(530\) | 16.8968 | + | 29.2662i | 0.733951 | + | 1.27124i | ||||
\(531\) | 4.67486 | − | 21.6617i | 0.202872 | − | 0.940038i | ||||
\(532\) | 0.261097 | + | 0.239572i | 0.0113200 | + | 0.0103868i | ||||
\(533\) | 0.172174 | − | 0.205189i | 0.00745770 | − | 0.00888774i | ||||
\(534\) | −11.2855 | + | 29.2634i | −0.488369 | + | 1.26635i | ||||
\(535\) | −21.5972 | + | 3.80818i | −0.933730 | + | 0.164642i | ||||
\(536\) | −20.1605 | − | 24.0263i | −0.870799 | − | 1.03778i | ||||
\(537\) | −1.75735 | − | 5.12965i | −0.0758354 | − | 0.221361i | ||||
\(538\) | −6.35414 | − | 17.4578i | −0.273946 | − | 0.752661i | ||||
\(539\) | −6.23316 | + | 13.3207i | −0.268481 | + | 0.573761i | ||||
\(540\) | −0.951662 | + | 0.286100i | −0.0409530 | + | 0.0123118i | ||||
\(541\) | 42.2221 | 1.81527 | 0.907635 | − | 0.419760i | \(-0.137886\pi\) | ||||
0.907635 | + | 0.419760i | \(0.137886\pi\) | |||||||
\(542\) | −21.2694 | + | 7.74144i | −0.913600 | + | 0.332523i | ||||
\(543\) | 4.26384 | − | 4.88959i | 0.182979 | − | 0.209833i | ||||
\(544\) | 2.16165 | + | 2.57616i | 0.0926802 | + | 0.110452i | ||||
\(545\) | −1.03740 | − | 5.88339i | −0.0444373 | − | 0.252017i | ||||
\(546\) | 0.572539 | − | 0.283870i | 0.0245024 | − | 0.0121485i | ||||
\(547\) | −15.5394 | − | 13.0391i | −0.664418 | − | 0.557513i | 0.246989 | − | 0.969018i | \(-0.420559\pi\) |
−0.911407 | + | 0.411505i | \(0.865003\pi\) | |||||||
\(548\) | −0.914324 | − | 0.527885i | −0.0390580 | − | 0.0225501i | ||||
\(549\) | −32.2310 | + | 17.0090i | −1.37558 | + | 0.725928i | ||||
\(550\) | −2.16170 | − | 3.74418i | −0.0921753 | − | 0.159652i | ||||
\(551\) | −0.516649 | + | 2.93006i | −0.0220100 | + | 0.124825i | ||||
\(552\) | −28.6019 | − | 0.543779i | −1.21738 | − | 0.0231448i | ||||
\(553\) | 13.8246 | + | 8.82023i | 0.587883 | + | 0.375074i | ||||
\(554\) | −6.53602 | + | 17.9576i | −0.277689 | + | 0.762944i | ||||
\(555\) | 7.99291 | + | 14.4727i | 0.339280 | + | 0.614330i | ||||
\(556\) | −1.29410 | − | 0.228184i | −0.0548819 | − | 0.00967715i | ||||
\(557\) | −1.84854 | + | 1.06725i | −0.0783251 | + | 0.0452210i | −0.538651 | − | 0.842529i | \(-0.681066\pi\) |
0.460326 | + | 0.887750i | \(0.347733\pi\) | |||||||
\(558\) | 4.86555 | − | 3.77705i | 0.205975 | − | 0.159895i | ||||
\(559\) | −0.499743 | − | 0.288527i | −0.0211369 | − | 0.0122034i | ||||
\(560\) | 16.9127 | + | 22.0715i | 0.714691 | + | 0.932690i | ||||
\(561\) | 28.3494 | − | 4.44488i | 1.19691 | − | 0.187663i | ||||
\(562\) | −3.52127 | − | 19.9701i | −0.148536 | − | 0.842387i | ||||
\(563\) | −6.73571 | + | 5.65193i | −0.283876 | + | 0.238200i | −0.773596 | − | 0.633680i | \(-0.781544\pi\) |
0.489719 | + | 0.871880i | \(0.337099\pi\) | |||||||
\(564\) | 0.106096 | − | 0.541315i | 0.00446743 | − | 0.0227935i | ||||
\(565\) | −8.01775 | − | 22.0286i | −0.337309 | − | 0.926750i | ||||
\(566\) | 12.0643 | 0.507101 | ||||||||
\(567\) | 2.85857 | − | 23.6396i | 0.120049 | − | 0.992768i | ||||
\(568\) | −38.1730 | −1.60170 | ||||||||
\(569\) | −12.2179 | − | 33.5684i | −0.512202 | − | 1.40726i | −0.878937 | − | 0.476937i | \(-0.841747\pi\) |
0.366736 | − | 0.930325i | \(-0.380475\pi\) | |||||||
\(570\) | 2.16062 | − | 11.0238i | 0.0904982 | − | 0.461735i | ||||
\(571\) | −5.96309 | + | 5.00363i | −0.249548 | + | 0.209395i | −0.758977 | − | 0.651117i | \(-0.774301\pi\) |
0.509430 | + | 0.860512i | \(0.329856\pi\) | |||||||
\(572\) | 0.00266379 | + | 0.0151071i | 0.000111379 | + | 0.000631661i | ||||
\(573\) | 2.39000 | − | 0.374727i | 0.0998438 | − | 0.0156544i | ||||
\(574\) | 8.37187 | − | 6.41510i | 0.349435 | − | 0.267761i | ||||
\(575\) | −7.36893 | − | 4.25446i | −0.307306 | − | 0.177423i | ||||
\(576\) | −3.13386 | − | 22.8136i | −0.130577 | − | 0.950568i | ||||
\(577\) | 17.2269 | − | 9.94598i | 0.717167 | − | 0.414056i | −0.0965422 | − | 0.995329i | \(-0.530778\pi\) |
0.813709 | + | 0.581272i | \(0.197445\pi\) | |||||||
\(578\) | −64.1027 | − | 11.3030i | −2.66632 | − | 0.470145i | ||||
\(579\) | 0.930782 | + | 1.68536i | 0.0386820 | + | 0.0700410i | ||||
\(580\) | 0.109602 | − | 0.301128i | 0.00455096 | − | 0.0125037i | ||||
\(581\) | 20.5956 | + | 13.1401i | 0.854447 | + | 0.545144i | ||||
\(582\) | 38.2157 | + | 0.726558i | 1.58409 | + | 0.0301168i | ||||
\(583\) | 3.37538 | − | 19.1427i | 0.139794 | − | 0.792811i | ||||
\(584\) | −19.2495 | − | 33.3411i | −0.796549 | − | 1.37966i | ||||
\(585\) | −0.623183 | − | 0.392110i | −0.0257654 | − | 0.0162118i | ||||
\(586\) | −22.5110 | − | 12.9967i | −0.929921 | − | 0.536890i | ||||
\(587\) | −33.1432 | − | 27.8104i | −1.36796 | − | 1.14786i | −0.973432 | − | 0.228977i | \(-0.926462\pi\) |
−0.394533 | − | 0.918882i | \(-0.629093\pi\) | |||||||
\(588\) | 0.887998 | − | 0.218679i | 0.0366204 | − | 0.00901816i | ||||
\(589\) | 0.439431 | + | 2.49214i | 0.0181065 | + | 0.102687i | ||||
\(590\) | −17.3432 | − | 20.6688i | −0.714009 | − | 0.850922i | ||||
\(591\) | −4.19712 | + | 4.81308i | −0.172646 | + | 0.197984i | ||||
\(592\) | 14.6646 | − | 5.33749i | 0.602713 | − | 0.219369i | ||||
\(593\) | −34.6890 | −1.42451 | −0.712253 | − | 0.701923i | \(-0.752325\pi\) | ||||
−0.712253 | + | 0.701923i | \(0.752325\pi\) | |||||||
\(594\) | 14.4483 | + | 6.21273i | 0.592823 | + | 0.254912i | ||||
\(595\) | −51.6359 | − | 11.4835i | −2.11687 | − | 0.470779i | ||||
\(596\) | 0.0880363 | + | 0.241878i | 0.00360611 | + | 0.00990770i | ||||
\(597\) | 9.77362 | + | 28.5288i | 0.400008 | + | 1.16761i | ||||
\(598\) | 0.533969 | + | 0.636359i | 0.0218356 | + | 0.0260227i | ||||
\(599\) | 38.5459 | − | 6.79668i | 1.57494 | − | 0.277705i | 0.683194 | − | 0.730237i | \(-0.260590\pi\) |
0.891748 | + | 0.452532i | \(0.149479\pi\) | |||||||
\(600\) | 2.46822 | − | 6.40014i | 0.100765 | − | 0.261285i | ||||
\(601\) | −5.30537 | + | 6.32270i | −0.216411 | + | 0.257908i | −0.863318 | − | 0.504660i | \(-0.831618\pi\) |
0.646907 | + | 0.762569i | \(0.276062\pi\) | |||||||
\(602\) | −16.7423 | − | 15.3620i | −0.682364 | − | 0.626109i | ||||
\(603\) | 25.1489 | + | 22.7863i | 1.02414 | + | 0.927930i | ||||
\(604\) | 0.478419 | + | 0.828647i | 0.0194666 | + | 0.0337172i | ||||
\(605\) | 2.89958 | − | 16.4443i | 0.117885 | − | 0.668557i | ||||
\(606\) | 22.4838 | + | 13.5573i | 0.913342 | + | 0.550728i | ||||
\(607\) | 2.91471 | − | 8.00809i | 0.118304 | − | 0.325038i | −0.866380 | − | 0.499385i | \(-0.833559\pi\) |
0.984684 | + | 0.174347i | \(0.0557814\pi\) | |||||||
\(608\) | −0.711573 | − | 0.258992i | −0.0288581 | − | 0.0105035i | ||||
\(609\) | 5.55814 | + | 5.29801i | 0.225227 | + | 0.214686i | ||||
\(610\) | −7.70507 | + | 43.6976i | −0.311969 | + | 1.76927i | ||||
\(611\) | 0.353946 | − | 0.204351i | 0.0143191 | − | 0.00826715i | ||||
\(612\) | −1.32235 | − | 1.19812i | −0.0534528 | − | 0.0484313i | ||||
\(613\) | 8.90517 | − | 15.4242i | 0.359677 | − | 0.622978i | −0.628230 | − | 0.778028i | \(-0.716220\pi\) |
0.987907 | + | 0.155049i | \(0.0495537\pi\) | |||||||
\(614\) | −1.44446 | − | 1.21205i | −0.0582938 | − | 0.0489143i | ||||
\(615\) | −11.3380 | − | 4.37249i | −0.457190 | − | 0.176316i | ||||
\(616\) | 0.682529 | − | 15.3969i | 0.0274999 | − | 0.620358i | ||||
\(617\) | 0.725589 | + | 0.864723i | 0.0292111 | + | 0.0348125i | 0.780452 | − | 0.625215i | \(-0.214989\pi\) |
−0.751241 | + | 0.660028i | \(0.770544\pi\) | |||||||
\(618\) | −19.3005 | + | 6.61211i | −0.776380 | + | 0.265978i | ||||
\(619\) | 11.5905 | + | 31.8445i | 0.465860 | + | 1.27994i | 0.921015 | + | 0.389527i | \(0.127362\pi\) |
−0.455155 | + | 0.890412i | \(0.650416\pi\) | |||||||
\(620\) | − | 0.272559i | − | 0.0109462i | ||||||
\(621\) | 30.7398 | − | 3.62876i | 1.23355 | − | 0.145617i | ||||
\(622\) | 35.2453i | 1.41321i | ||||||||
\(623\) | −32.9742 | + | 4.31877i | −1.32108 | + | 0.173028i | ||||
\(624\) | −0.456764 | + | 0.523798i | −0.0182852 | + | 0.0209687i | ||||
\(625\) | −23.0592 | + | 19.3490i | −0.922369 | + | 0.773959i | ||||
\(626\) | 0.0203787 | + | 0.115573i | 0.000814497 | + | 0.00461924i | ||||
\(627\) | −5.02784 | + | 4.05853i | −0.200793 | + | 0.162082i | ||||
\(628\) | −0.711530 | + | 0.847969i | −0.0283932 | + | 0.0338376i | ||||
\(629\) | −14.8439 | + | 25.7104i | −0.591865 | + | 1.02514i | ||||
\(630\) | −20.6015 | − | 20.3987i | −0.820783 | − | 0.812702i | ||||
\(631\) | 5.72941 | + | 9.92363i | 0.228084 | + | 0.395054i | 0.957240 | − | 0.289294i | \(-0.0934205\pi\) |
−0.729156 | + | 0.684347i | \(0.760087\pi\) | |||||||
\(632\) | −16.9239 | − | 2.98413i | −0.673195 | − | 0.118702i | ||||
\(633\) | 3.67139 | + | 0.0698006i | 0.145925 | + | 0.00277432i | ||||
\(634\) | 16.9927 | + | 6.18483i | 0.674866 | + | 0.245631i | ||||
\(635\) | 42.9446 | + | 15.6305i | 1.70420 | + | 0.620279i | ||||
\(636\) | −1.05809 | + | 0.584357i | −0.0419559 | + | 0.0231713i | ||||
\(637\) | 0.554532 | + | 0.389390i | 0.0219713 | + | 0.0154282i | ||||
\(638\) | −4.39221 | + | 2.53584i | −0.173889 | + | 0.100395i | ||||
\(639\) | 40.9195 | − | 5.62102i | 1.61875 | − | 0.222364i | ||||
\(640\) | −26.1539 | − | 15.1000i | −1.03382 | − | 0.596879i | ||||
\(641\) | 14.4774 | − | 17.2535i | 0.571824 | − | 0.681474i | −0.400180 | − | 0.916437i | \(-0.631052\pi\) |
0.972004 | + | 0.234963i | \(0.0754968\pi\) | |||||||
\(642\) | −3.34313 | − | 21.3224i | −0.131943 | − | 0.841528i | ||||
\(643\) | −2.47158 | + | 0.435807i | −0.0974698 | + | 0.0171866i | −0.222170 | − | 0.975008i | \(-0.571314\pi\) |
0.124701 | + | 0.992194i | \(0.460203\pi\) | |||||||
\(644\) | 0.548227 | + | 1.05485i | 0.0216032 | + | 0.0415670i | ||||
\(645\) | −5.03524 | + | 25.6905i | −0.198262 | + | 1.01156i | ||||
\(646\) | 18.9550 | − | 6.89906i | 0.745774 | − | 0.271440i | ||||
\(647\) | 19.6391 | 0.772091 | 0.386045 | − | 0.922480i | \(-0.373841\pi\) | ||||
0.386045 | + | 0.922480i | \(0.373841\pi\) | |||||||
\(648\) | 6.72863 | + | 24.0291i | 0.264326 | + | 0.943954i | ||||
\(649\) | 15.5195i | 0.609195i | ||||||||
\(650\) | −0.187180 | + | 0.0681279i | −0.00734180 | + | 0.00267220i | ||||
\(651\) | 5.98353 | + | 2.61755i | 0.234513 | + | 0.102590i | ||||
\(652\) | −0.0899383 | + | 0.0754672i | −0.00352225 | + | 0.00295552i | ||||
\(653\) | −11.3035 | + | 1.99311i | −0.442340 | + | 0.0779965i | −0.390382 | − | 0.920653i | \(-0.627657\pi\) |
−0.0519576 | + | 0.998649i | \(0.516546\pi\) | |||||||
\(654\) | 5.80852 | − | 0.910715i | 0.227131 | − | 0.0356118i | ||||
\(655\) | 2.99911 | + | 2.51655i | 0.117185 | + | 0.0983299i | ||||
\(656\) | −5.73513 | + | 9.93353i | −0.223919 | + | 0.387839i | ||||
\(657\) | 25.5440 | + | 32.9054i | 0.996565 | + | 1.28376i | ||||
\(658\) | 15.3515 | − | 4.82905i | 0.598463 | − | 0.188256i | ||||
\(659\) | 29.2489 | + | 5.15736i | 1.13937 | + | 0.200902i | 0.711332 | − | 0.702856i | \(-0.248092\pi\) |
0.428042 | + | 0.903759i | \(0.359203\pi\) | |||||||
\(660\) | 0.609208 | − | 0.336451i | 0.0237134 | − | 0.0130963i | ||||
\(661\) | 3.15998 | − | 8.68198i | 0.122909 | − | 0.337690i | −0.862945 | − | 0.505299i | \(-0.831382\pi\) |
0.985854 | + | 0.167609i | \(0.0536045\pi\) | |||||||
\(662\) | −5.46259 | + | 15.0083i | −0.212310 | + | 0.583316i | ||||
\(663\) | 0.0251313 | − | 1.32186i | 0.000976018 | − | 0.0513369i | ||||
\(664\) | −25.2127 | − | 4.44568i | −0.978442 | − | 0.172526i | ||||
\(665\) | 11.3622 | − | 3.57415i | 0.440605 | − | 0.138599i | ||||
\(666\) | −14.3903 | + | 7.59409i | −0.557612 | + | 0.294265i | ||||
\(667\) | −4.99080 | + | 8.64432i | −0.193245 | + | 0.334710i | ||||
\(668\) | 0.0737974 | + | 0.0619234i | 0.00285531 | + | 0.00239589i | ||||
\(669\) | −26.7940 | − | 33.1934i | −1.03592 | − | 1.28333i | ||||
\(670\) | 40.6913 | − | 7.17498i | 1.57204 | − | 0.277194i | ||||
\(671\) | 19.5514 | − | 16.4056i | 0.754773 | − | 0.633329i | ||||
\(672\) | −1.57357 | + | 1.15897i | −0.0607017 | + | 0.0447084i | ||||
\(673\) | −0.574231 | + | 0.209003i | −0.0221350 | + | 0.00805648i | −0.353064 | − | 0.935599i | \(-0.614860\pi\) |
0.330929 | + | 0.943656i | \(0.392638\pi\) | |||||||
\(674\) | − | 0.717984i | − | 0.0276557i | ||||||
\(675\) | −1.70338 | + | 7.22407i | −0.0655630 | + | 0.278055i | ||||
\(676\) | −0.979870 | −0.0376873 | ||||||||
\(677\) | −1.73677 | + | 0.632133i | −0.0667495 | + | 0.0242948i | −0.375179 | − | 0.926952i | \(-0.622419\pi\) |
0.308430 | + | 0.951247i | \(0.400197\pi\) | |||||||
\(678\) | 21.8256 | − | 7.47718i | 0.838207 | − | 0.287159i | ||||
\(679\) | 18.6898 | + | 35.9612i | 0.717247 | + | 1.38007i | ||||
\(680\) | 54.5915 | − | 9.62596i | 2.09349 | − | 0.369139i | ||||
\(681\) | 2.55556 | + | 0.985553i | 0.0979292 | + | 0.0377665i | ||||
\(682\) | −2.77278 | + | 3.30447i | −0.106175 | + | 0.126535i | ||||
\(683\) | −20.1934 | − | 11.6587i | −0.772680 | − | 0.446107i | 0.0611497 | − | 0.998129i | \(-0.480523\pi\) |
−0.833830 | + | 0.552021i | \(0.813857\pi\) | |||||||
\(684\) | 0.392757 | + | 0.0847617i | 0.0150174 | + | 0.00324095i | ||||
\(685\) | −30.7336 | + | 17.7440i | −1.17427 | + | 0.677965i | ||||
\(686\) | 17.9860 | + | 19.7073i | 0.686708 | + | 0.752427i | ||||
\(687\) | −19.6627 | − | 11.8563i | −0.750180 | − | 0.452344i | ||||
\(688\) | 23.2206 | + | 8.45162i | 0.885279 | + | 0.322215i | ||||
\(689\) | −0.841561 | − | 0.306303i | −0.0320609 | − | 0.0116692i | ||||
\(690\) | 19.4604 | − | 32.2737i | 0.740846 | − | 1.22864i | ||||
\(691\) | 5.95279 | + | 1.04964i | 0.226455 | + | 0.0399301i | 0.285724 | − | 0.958312i | \(-0.407766\pi\) |
−0.0592693 | + | 0.998242i | \(0.518877\pi\) | |||||||
\(692\) | −0.253385 | − | 0.438876i | −0.00963225 | − | 0.0166836i | ||||
\(693\) | 1.53558 | + | 16.6052i | 0.0583317 | + | 0.630779i | ||||
\(694\) | −25.9332 | + | 44.9177i | −0.984412 | + | 1.70505i | ||||
\(695\) | −28.3920 | + | 33.8362i | −1.07697 | + | 1.28348i | ||||
\(696\) | −7.50786 | − | 2.89541i | −0.284585 | − | 0.109750i | ||||
\(697\) | −3.78910 | − | 21.4890i | −0.143522 | − | 0.813955i | ||||
\(698\) | 28.1262 | − | 23.6007i | 1.06459 | − | 0.893298i | ||||
\(699\) | −8.86744 | − | 25.8837i | −0.335397 | − | 0.979012i | ||||
\(700\) | −0.282646 | + | 0.0370194i | −0.0106830 | + | 0.00139920i | ||||
\(701\) | 5.95954i | 0.225089i | 0.993647 | + | 0.112544i | \(0.0359001\pi\) | ||||
−0.993647 | + | 0.112544i | \(0.964100\pi\) | |||||||
\(702\) | 0.397485 | − | 0.605862i | 0.0150021 | − | 0.0228668i | ||||
\(703\) | − | 6.68487i | − | 0.252125i | ||||||
\(704\) | 5.51577 | + | 15.1545i | 0.207884 | + | 0.571155i | ||||
\(705\) | −13.9746 | − | 12.1862i | −0.526314 | − | 0.458958i | ||||
\(706\) | 14.4958 | + | 17.2754i | 0.545556 | + | 0.650168i | ||||
\(707\) | −1.23284 | + | 27.8112i | −0.0463658 | + | 1.04595i | ||||
\(708\) | 0.750939 | − | 0.606165i | 0.0282220 | − | 0.0227811i | ||||
\(709\) | 19.8453 | + | 16.6521i | 0.745304 | + | 0.625384i | 0.934256 | − | 0.356602i | \(-0.116065\pi\) |
−0.188952 | + | 0.981986i | \(0.560509\pi\) | |||||||
\(710\) | 25.1445 | − | 43.5516i | 0.943658 | − | 1.63446i | ||||
\(711\) | 18.5809 | + | 0.706777i | 0.696839 | + | 0.0265062i | ||||
\(712\) | 30.1812 | − | 17.4251i | 1.13109 | − | 0.653035i | ||||
\(713\) | −1.47423 | + | 8.36079i | −0.0552104 | + | 0.313114i | ||||
\(714\) | 12.2655 | − | 50.5937i | 0.459025 | − | 1.89342i | ||||
\(715\) | 0.484540 | + | 0.176358i | 0.0181208 | + | 0.00659542i | ||||
\(716\) | 0.0807634 | − | 0.221896i | 0.00301827 | − | 0.00829263i | ||||
\(717\) | 5.94001 | − | 3.28052i | 0.221834 | − | 0.122513i | ||||
\(718\) | 1.42101 | − | 8.05893i | 0.0530315 | − | 0.300757i | ||||
\(719\) | −19.3073 | − | 33.4412i | −0.720040 | − | 1.24715i | −0.960983 | − | 0.276607i | \(-0.910790\pi\) |
0.240943 | − | 0.970539i | \(-0.422543\pi\) | |||||||
\(720\) | 29.1966 | + | 11.9020i | 1.08809 | + | 0.443563i | ||||
\(721\) | −15.9392 | − | 14.6251i | −0.593606 | − | 0.544669i | ||||
\(722\) | 14.6748 | − | 17.4888i | 0.546141 | − | 0.650866i | ||||
\(723\) | −41.3021 | + | 6.47573i | −1.53604 | + | 0.240835i | ||||
\(724\) | 0.278234 | − | 0.0490602i | 0.0103405 | − | 0.00182331i | ||||
\(725\) | −1.53848 | − | 1.83349i | −0.0571379 | − | 0.0680943i | ||||
\(726\) | 16.1266 | + | 3.16075i | 0.598514 | + | 0.117306i | ||||
\(727\) | −8.28491 | − | 22.7626i | −0.307270 | − | 0.844218i | −0.993186 | − | 0.116537i | \(-0.962821\pi\) |
0.685916 | − | 0.727681i | \(-0.259402\pi\) | |||||||
\(728\) | −0.693145 | − | 0.154152i | −0.0256897 | − | 0.00571323i | ||||
\(729\) | −10.7511 | − | 24.7672i | −0.398188 | − | 0.917304i | ||||
\(730\) | 50.7185 | 1.87718 | ||||||||
\(731\) | −44.1740 | + | 16.0780i | −1.63383 | + | 0.594667i | ||||
\(732\) | −1.55745 | − | 0.305254i | −0.0575651 | − | 0.0112825i | ||||
\(733\) | 27.7677 | + | 33.0923i | 1.02562 | + | 1.22229i | 0.974684 | + | 0.223589i | \(0.0717773\pi\) |
0.0509402 | + | 0.998702i | \(0.483778\pi\) | |||||||
\(734\) | −4.72854 | − | 26.8169i | −0.174533 | − | 0.989828i | ||||
\(735\) | 8.55858 | − | 29.5250i | 0.315688 | − | 1.08905i | ||||
\(736\) | −1.94609 | − | 1.63296i | −0.0717338 | − | 0.0601918i | ||||
\(737\) | −20.5825 | − | 11.8833i | −0.758166 | − | 0.437727i | ||||
\(738\) | 4.51453 | − | 11.0745i | 0.166182 | − | 0.407657i | ||||
\(739\) | 1.55436 | + | 2.69223i | 0.0571780 | + | 0.0990352i | 0.893198 | − | 0.449664i | \(-0.148456\pi\) |
−0.836020 | + | 0.548700i | \(0.815123\pi\) | |||||||
\(740\) | −0.125027 | + | 0.709062i | −0.00459608 | + | 0.0260656i | ||||
\(741\) | 0.143923 | + | 0.260599i | 0.00528714 | + | 0.00957336i | ||||
\(742\) | −29.7288 | − | 18.9672i | −1.09138 | − | 0.696308i | ||||
\(743\) | −4.69492 | + | 12.8992i | −0.172240 | + | 0.473225i | −0.995536 | − | 0.0943876i | \(-0.969911\pi\) |
0.823296 | + | 0.567613i | \(0.192133\pi\) | |||||||
\(744\) | −6.84292 | − | 0.130098i | −0.250874 | − | 0.00476961i | ||||
\(745\) | 8.52069 | + | 1.50243i | 0.312174 | + | 0.0550447i | ||||
\(746\) | 18.7241 | − | 10.8104i | 0.685539 | − | 0.395796i | ||||
\(747\) | 27.6813 | + | 1.05294i | 1.01281 | + | 0.0385249i | ||||
\(748\) | 1.08225 | + | 0.624834i | 0.0395708 | + | 0.0228462i | ||||
\(749\) | 18.1649 | − | 13.9192i | 0.663731 | − | 0.508596i | ||||
\(750\) | −14.1927 | − | 17.5824i | −0.518244 | − | 0.642018i | ||||
\(751\) | −2.41618 | − | 13.7028i | −0.0881677 | − | 0.500024i | −0.996628 | − | 0.0820528i | \(-0.973852\pi\) |
0.908460 | − | 0.417971i | \(-0.137259\pi\) | |||||||
\(752\) | −13.4070 | + | 11.2498i | −0.488904 | + | 0.410239i | ||||
\(753\) | −8.72518 | − | 7.60856i | −0.317963 | − | 0.277271i | ||||
\(754\) | 0.0799193 | + | 0.219576i | 0.00291049 | + | 0.00799650i | ||||
\(755\) | 32.1627 | 1.17052 | ||||||||
\(756\) | 0.743492 | − | 0.722870i | 0.0270405 | − | 0.0262905i | ||||
\(757\) | −17.3160 | −0.629361 | −0.314681 | − | 0.949198i | \(-0.601897\pi\) | ||||
−0.314681 | + | 0.949198i | \(0.601897\pi\) | |||||||
\(758\) | −1.41518 | − | 3.88816i | −0.0514015 | − | 0.141224i | ||||
\(759\) | −20.5074 | + | 7.02557i | −0.744370 | + | 0.255012i | ||||
\(760\) | −9.56187 | + | 8.02336i | −0.346845 | + | 0.291038i | ||||
\(761\) | −3.29855 | − | 18.7070i | −0.119572 | − | 0.678128i | −0.984384 | − | 0.176032i | \(-0.943674\pi\) |
0.864812 | − | 0.502095i | \(-0.167437\pi\) | |||||||
\(762\) | −16.1835 | + | 41.9640i | −0.586265 | + | 1.52020i | ||||
\(763\) | 3.79178 | + | 4.94837i | 0.137272 | + | 0.179143i | ||||
\(764\) | 0.0912389 | + | 0.0526768i | 0.00330091 | + | 0.00190578i | ||||
\(765\) | −57.1019 | + | 18.3572i | −2.06452 | + | 0.663706i | ||||
\(766\) | −17.0963 | + | 9.87058i | −0.617716 | + | 0.356639i | ||||
\(767\) | 0.704171 | + | 0.124164i | 0.0254261 | + | 0.00448331i | ||||
\(768\) | 1.61682 | − | 2.68138i | 0.0583420 | − | 0.0967560i | ||||
\(769\) | −10.6489 | + | 29.2575i | −0.384008 | + | 1.05505i | 0.585645 | + | 0.810568i | \(0.300841\pi\) |
−0.969653 | + | 0.244485i | \(0.921381\pi\) | |||||||
\(770\) | 17.1167 | + | 10.9206i | 0.616845 | + | 0.393552i | ||||
\(771\) | 18.9703 | − | 31.4609i | 0.683199 | − | 1.13304i | ||||
\(772\) | −0.0145595 | + | 0.0825710i | −0.000524007 | + | 0.00297179i | ||||
\(773\) | −1.63416 | − | 2.83045i | −0.0587768 | − | 0.101804i | 0.835140 | − | 0.550038i | \(-0.185387\pi\) |
−0.893917 | + | 0.448233i | \(0.852053\pi\) | |||||||
\(774\) | −25.1847 | − | 5.43516i | −0.905244 | − | 0.195363i | ||||
\(775\) | −1.76300 | − | 1.01787i | −0.0633287 | − | 0.0365629i | ||||
\(776\) | −32.5348 | − | 27.2999i | −1.16793 | − | 0.980010i | ||||
\(777\) | −14.3654 | − | 9.55427i | −0.515357 | − | 0.342758i | ||||
\(778\) | −3.62668 | − | 20.5679i | −0.130023 | − | 0.737396i | ||||
\(779\) | 3.15826 | + | 3.76387i | 0.113156 | + | 0.134855i | ||||
\(780\) | −0.0103919 | − | 0.0303335i | −0.000372089 | − | 0.00108611i | ||||
\(781\) | −27.1817 | + | 9.89333i | −0.972637 | + | 0.354011i | ||||
\(782\) | 67.6726 | 2.41997 | ||||||||
\(783\) | 8.47439 | + | 1.99819i | 0.302850 | + | 0.0714095i | ||||
\(784\) | −26.2812 | − | 12.2978i | −0.938615 | − | 0.439208i | ||||
\(785\) | 12.7260 | + | 34.9643i | 0.454209 | + | 1.24793i | ||||
\(786\) | −2.53234 | + | 2.90398i | −0.0903254 | + | 0.103581i | ||||
\(787\) | −15.0442 | − | 17.9290i | −0.536269 | − | 0.639100i | 0.428078 | − | 0.903742i | \(-0.359191\pi\) |
−0.964347 | + | 0.264641i | \(0.914746\pi\) | |||||||
\(788\) | −0.273880 | + | 0.0482925i | −0.00975658 | + | 0.00172035i | ||||
\(789\) | 13.3444 | + | 16.5315i | 0.475072 | + | 0.588536i | ||||
\(790\) | 14.5523 | − | 17.3428i | 0.517749 | − | 0.617030i | ||||
\(791\) | 18.0245 | + | 16.5386i | 0.640878 | + | 0.588044i | ||||
\(792\) | −8.15621 | − | 15.4555i | −0.289818 | − | 0.549187i | ||||
\(793\) | −0.587951 | − | 1.01836i | −0.0208787 | − | 0.0361630i | ||||
\(794\) | −8.79107 | + | 49.8566i | −0.311983 | + | 1.76935i | ||||
\(795\) | −0.772310 | + | 40.6222i | −0.0273910 | + | 1.44072i | ||||
\(796\) | −0.449170 | + | 1.23408i | −0.0159204 | + | 0.0437410i | ||||
\(797\) | −24.5022 | − | 8.91806i | −0.867912 | − | 0.315894i | −0.130590 | − | 0.991436i | \(-0.541687\pi\) |
−0.737321 | + | 0.675542i | \(0.763910\pi\) | |||||||
\(798\) | 3.30432 | + | 11.2470i | 0.116972 | + | 0.398138i | ||||
\(799\) | 5.78151 | − | 32.7886i | 0.204535 | − | 1.15998i | ||||
\(800\) | 0.527551 | − | 0.304582i | 0.0186517 | − | 0.0107686i | ||||
\(801\) | −29.7869 | + | 23.1231i | −1.05247 | + | 0.817014i | ||||
\(802\) | −6.50379 | + | 11.2649i | −0.229657 | + | 0.397777i | ||||
\(803\) | −22.3479 | − | 18.7521i | −0.788642 | − | 0.661749i | ||||
\(804\) | 0.228922 | + | 1.46006i | 0.00807345 | + | 0.0514923i | ||||
\(805\) | 39.9207 | + | 1.76965i | 1.40702 | + | 0.0623719i | ||||
\(806\) | 0.127751 | + | 0.152247i | 0.00449982 | + | 0.00536268i | ||||
\(807\) | 4.29609 | − | 21.9193i | 0.151230 | − | 0.771595i | ||||
\(808\) | −9.97783 | − | 27.4139i | −0.351019 | − | 0.964416i | ||||
\(809\) | 24.8140i | 0.872412i | 0.899847 | + | 0.436206i | \(0.143678\pi\) | ||||
−0.899847 | + | 0.436206i | \(0.856322\pi\) | |||||||
\(810\) | −31.8470 | − | 8.15128i | −1.11899 | − | 0.286407i | ||||
\(811\) | − | 27.0995i | − | 0.951593i | −0.879555 | − | 0.475797i | \(-0.842160\pi\) | ||
0.879555 | − | 0.475797i | \(-0.157840\pi\) | |||||||
\(812\) | 0.0434266 | + | 0.331566i | 0.00152397 | + | 0.0116357i | ||||
\(813\) | −26.7049 | − | 5.23406i | −0.936583 | − | 0.183567i | ||||
\(814\) | 8.72918 | − | 7.32465i | 0.305958 | − | 0.256729i | ||||
\(815\) | 0.685289 | + | 3.88647i | 0.0240046 | + | 0.136137i | ||||
\(816\) | 8.76961 | + | 55.9324i | 0.306998 | + | 1.95803i | ||||
\(817\) | 6.80398 | − | 8.10867i | 0.238041 | − | 0.283687i | ||||
\(818\) | 8.52270 | − | 14.7617i | 0.297989 | − | 0.516132i | ||||
\(819\) | 0.765715 | + | 0.0631760i | 0.0267562 | + | 0.00220755i | ||||
\(820\) | −0.264600 | − | 0.458301i | −0.00924025 | − | 0.0160046i | ||||
\(821\) | 18.1866 | + | 3.20679i | 0.634716 | + | 0.111918i | 0.481743 | − | 0.876313i | \(-0.340004\pi\) |
0.152973 | + | 0.988230i | \(0.451115\pi\) | |||||||
\(822\) | −16.8848 | − | 30.5731i | −0.588924 | − | 1.06636i | ||||
\(823\) | −14.9272 | − | 5.43305i | −0.520329 | − | 0.189384i | 0.0684859 | − | 0.997652i | \(-0.478183\pi\) |
−0.588815 | + | 0.808268i | \(0.700405\pi\) | |||||||
\(824\) | 21.3023 | + | 7.75339i | 0.742099 | + | 0.270102i | ||||
\(825\) | 0.0988057 | − | 5.19702i | 0.00343997 | − | 0.180937i | ||||
\(826\) | 26.0049 | + | 10.7919i | 0.904825 | + | 0.375498i | ||||
\(827\) | 6.41452 | − | 3.70343i | 0.223055 | − | 0.128781i | −0.384309 | − | 0.923204i | \(-0.625560\pi\) |
0.607364 | + | 0.794424i | \(0.292227\pi\) | |||||||
\(828\) | 1.14092 | + | 0.717876i | 0.0396498 | + | 0.0249479i | ||||
\(829\) | −6.47519 | − | 3.73846i | −0.224893 | − | 0.129842i | 0.383321 | − | 0.923615i | \(-0.374780\pi\) |
−0.608214 | + | 0.793773i | \(0.708114\pi\) | |||||||
\(830\) | 21.6797 | − | 25.8368i | 0.752512 | − | 0.896809i | ||||
\(831\) | −17.8779 | + | 14.4313i | −0.620179 | + | 0.500615i | ||||
\(832\) | 0.731735 | − | 0.129025i | 0.0253683 | − | 0.00447312i | ||||
\(833\) | 53.3373 | − | 14.2155i | 1.84803 | − | 0.492537i | ||||
\(834\) | −32.7629 | − | 28.5700i | −1.13449 | − | 0.989299i | ||||
\(835\) | 3.04289 | − | 1.10752i | 0.105304 | − | 0.0383274i | ||||
\(836\) | −0.281391 | −0.00973211 | ||||||||
\(837\) | 7.35442 | − | 0.868171i | 0.254206 | − | 0.0300084i | ||||
\(838\) | − | 28.3621i | − | 0.979752i | ||||||
\(839\) | 15.2482 | − | 5.54991i | 0.526428 | − | 0.191604i | −0.0651148 | − | 0.997878i | \(-0.520741\pi\) |
0.591543 | + | 0.806274i | \(0.298519\pi\) | |||||||
\(840\) | 3.57560 | + | 32.0153i | 0.123370 | + | 1.10463i | ||||
\(841\) | 20.0645 | − | 16.8361i | 0.691878 | − | 0.580555i | ||||
\(842\) | 18.6892 | − | 3.29541i | 0.644073 | − | 0.113567i | ||||
\(843\) | 8.77246 | − | 22.7471i | 0.302139 | − | 0.783453i | ||||
\(844\) | 0.122501 | + | 0.102791i | 0.00421667 | + | 0.00353821i | ||||
\(845\) | −16.4684 | + | 28.5241i | −0.566530 | + | 0.981260i | ||||
\(846\) | 12.2523 | − | 13.5227i | 0.421244 | − | 0.464921i | ||||
\(847\) | 5.22859 | + | 16.6216i | 0.179657 | + | 0.571125i | ||||
\(848\) | 37.7680 | + | 6.65951i | 1.29696 | + | 0.228689i | ||||
\(849\) | 12.4213 | + | 7.48982i | 0.426299 | + | 0.257050i | ||||
\(850\) | −5.54996 | + | 15.2484i | −0.190362 | + | 0.523015i | ||||
\(851\) | 7.67042 | − | 21.0743i | 0.262939 | − | 0.722418i | ||||
\(852\) | 1.54037 | + | 0.928815i | 0.0527723 | + | 0.0318207i | ||||
\(853\) | 4.14761 | + | 0.731336i | 0.142012 | + | 0.0250405i | 0.244202 | − | 0.969724i | \(-0.421474\pi\) |
−0.102190 | + | 0.994765i | \(0.532585\pi\) | |||||||
\(854\) | −13.8940 | − | 44.1687i | −0.475442 | − | 1.51142i | ||||
\(855\) | 9.06838 | − | 10.0086i | 0.310132 | − | 0.342288i | ||||
\(856\) | −11.9909 | + | 20.7689i | −0.409842 | + | 0.709867i | ||||
\(857\) | 28.3201 | + | 23.7634i | 0.967397 | + | 0.811742i | 0.982140 | − | 0.188149i | \(-0.0602488\pi\) |
−0.0147437 | + | 0.999891i | \(0.504693\pi\) | |||||||
\(858\) | −0.182597 | + | 0.473477i | −0.00623375 | + | 0.0161642i | ||||
\(859\) | −15.3634 | + | 2.70898i | −0.524191 | + | 0.0924291i | −0.429481 | − | 0.903076i | \(-0.641304\pi\) |
−0.0947102 | + | 0.995505i | \(0.530192\pi\) | |||||||
\(860\) | −0.873353 | + | 0.732830i | −0.0297811 | + | 0.0249893i | ||||
\(861\) | 12.6023 | − | 1.40747i | 0.429484 | − | 0.0479665i | ||||
\(862\) | −25.1575 | + | 9.15659i | −0.856868 | + | 0.311875i | ||||
\(863\) | 29.1929i | 0.993737i | 0.867826 | + | 0.496868i | \(0.165517\pi\) | ||||
−0.867826 | + | 0.496868i | \(0.834483\pi\) | |||||||
\(864\) | −0.875368 | + | 2.03576i | −0.0297806 | + | 0.0692579i | ||||
\(865\) | −17.0343 | −0.579183 | ||||||||
\(866\) | −35.2245 | + | 12.8207i | −1.19698 | + | 0.435664i | ||||
\(867\) | −58.9825 | − | 51.4341i | −2.00315 | − | 1.74679i | ||||
\(868\) | 0.131162 | + | 0.252370i | 0.00445192 | + | 0.00856600i | ||||
\(869\) | −12.8243 | + | 2.26127i | −0.435035 | + | 0.0767084i | ||||
\(870\) | 8.24881 | − | 6.65852i | 0.279661 | − | 0.225745i | ||||
\(871\) | −0.703854 | + | 0.838820i | −0.0238492 | + | 0.0284223i | ||||
\(872\) | −5.65774 | − | 3.26650i | −0.191595 | − | 0.110618i | ||||
\(873\) | 38.8956 | + | 24.4733i | 1.31642 | + | 0.828297i | ||||
\(874\) | −13.1965 | + | 7.61900i | −0.446378 | + | 0.257717i | ||||
\(875\) | 9.18336 | − | 22.1288i | 0.310454 | − | 0.748091i | ||||
\(876\) | −0.0344834 | + | 1.81377i | −0.00116508 | + | 0.0612815i | ||||
\(877\) | 42.4663 | + | 15.4565i | 1.43399 | + | 0.521928i | 0.938071 | − | 0.346443i | \(-0.112611\pi\) |
0.495914 | + | 0.868371i | \(0.334833\pi\) | |||||||
\(878\) | 18.2649 | + | 6.64787i | 0.616410 | + | 0.224355i | ||||
\(879\) | −15.1085 | − | 27.3567i | −0.509596 | − | 0.922719i | ||||
\(880\) | −21.7454 | − | 3.83430i | −0.733037 | − | 0.129254i | ||||
\(881\) | 16.3257 | + | 28.2769i | 0.550025 | + | 0.952672i | 0.998272 | + | 0.0587620i | \(0.0187153\pi\) |
−0.448247 | + | 0.893910i | \(0.647951\pi\) | |||||||
\(882\) | 28.8918 | + | 8.97377i | 0.972837 | + | 0.302163i | ||||
\(883\) | 16.0749 | − | 27.8425i | 0.540963 | − | 0.936975i | −0.457886 | − | 0.889011i | \(-0.651393\pi\) |
0.998849 | − | 0.0479641i | \(-0.0152733\pi\) | |||||||
\(884\) | 0.0370092 | − | 0.0441059i | 0.00124475 | − | 0.00148344i | ||||
\(885\) | −5.02472 | − | 32.0476i | −0.168904 | − | 1.07727i | ||||
\(886\) | 2.27964 | + | 12.9285i | 0.0765858 | + | 0.434340i | ||||
\(887\) | −9.21436 | + | 7.73177i | −0.309388 | + | 0.259607i | −0.784239 | − | 0.620459i | \(-0.786946\pi\) |
0.474851 | + | 0.880066i | \(0.342502\pi\) | |||||||
\(888\) | 17.7422 | + | 3.47739i | 0.595388 | + | 0.116694i | ||||
\(889\) | −47.2853 | + | 6.19316i | −1.58590 | + | 0.207712i | ||||
\(890\) | 45.9117i | 1.53896i | ||||||||
\(891\) | 11.0189 | + | 15.3665i | 0.369147 | + | 0.514796i | ||||
\(892\) | − | 1.85772i | − | 0.0622010i | ||||||
\(893\) | 2.56412 | + | 7.04485i | 0.0858049 | + | 0.235747i | ||||
\(894\) | −1.63775 | + | 8.35605i | −0.0547747 | + | 0.279468i | ||||
\(895\) | −5.10204 | − | 6.08037i | −0.170542 | − | 0.203244i | ||||
\(896\) | 31.4831 | + | 1.39562i | 1.05178 | + | 0.0466243i | ||||
\(897\) | 0.154703 | + | 0.986692i | 0.00516537 | + | 0.0329447i | ||||
\(898\) | 12.0727 | + | 10.1302i | 0.402871 | + | 0.338049i | ||||
\(899\) | −1.19404 | + | 2.06813i | −0.0398233 | + | 0.0689760i | ||||
\(900\) | −0.255325 | + | 0.198205i | −0.00851085 | + | 0.00660684i | ||||
\(901\) | −63.1822 | + | 36.4783i | −2.10491 | + | 1.21527i | ||||
\(902\) | −1.45438 | + | 8.24819i | −0.0484255 | + | 0.274635i | ||||
\(903\) | −7.70060 | − | 26.2106i | −0.256260 | − | 0.872235i | ||||
\(904\) | −24.0892 | − | 8.76777i | −0.801197 | − | 0.291612i | ||||
\(905\) | 3.24806 | − | 8.92397i | 0.107969 | − | 0.296643i | ||||
\(906\) | −0.601679 | + | 31.6473i | −0.0199894 | + | 1.05141i | ||||
\(907\) | −4.96322 | + | 28.1478i | −0.164801 | + | 0.934633i | 0.784468 | + | 0.620169i | \(0.212936\pi\) |
−0.949269 | + | 0.314464i | \(0.898175\pi\) | |||||||
\(908\) | 0.0596405 | + | 0.103300i | 0.00197924 | + | 0.00342815i | ||||
\(909\) | 14.7324 | + | 27.9170i | 0.488644 | + | 0.925949i | ||||
\(910\) | 0.632446 | − | 0.689270i | 0.0209654 | − | 0.0228491i | ||||
\(911\) | −22.1361 | + | 26.3808i | −0.733403 | + | 0.874036i | −0.995859 | − | 0.0909082i | \(-0.971023\pi\) |
0.262456 | + | 0.964944i | \(0.415467\pi\) | |||||||
\(912\) | −8.00734 | − | 9.91977i | −0.265149 | − | 0.328476i | ||||
\(913\) | −19.1053 | + | 3.36878i | −0.632293 | + | 0.111490i | ||||
\(914\) | 6.53150 | + | 7.78394i | 0.216043 | + | 0.257470i | ||||
\(915\) | −35.0616 | + | 40.2073i | −1.15910 | + | 1.32921i | ||||
\(916\) | −0.341991 | − | 0.939612i | −0.0112997 | − | 0.0310457i | ||||
\(917\) | −3.98799 | − | 0.886906i | −0.131695 | − | 0.0292882i | ||||
\(918\) | −16.9948 | − | 56.5303i | −0.560913 | − | 1.86578i | ||||
\(919\) | 11.7323 | 0.387012 | 0.193506 | − | 0.981099i | \(-0.438014\pi\) | ||||
0.193506 | + | 0.981099i | \(0.438014\pi\) | |||||||
\(920\) | −39.3504 | + | 14.3224i | −1.29735 | + | 0.472195i | ||||
\(921\) | −0.734739 | − | 2.14467i | −0.0242105 | − | 0.0706694i | ||||
\(922\) | 19.6844 | + | 23.4589i | 0.648271 | + | 0.772579i | ||||
\(923\) | 0.231424 | + | 1.31247i | 0.00761741 | + | 0.0432005i | ||||
\(924\) | −0.402175 | + | 0.604695i | −0.0132306 | + | 0.0198930i | ||||
\(925\) | 4.11952 | + | 3.45669i | 0.135449 | + | 0.113655i | ||||
\(926\) | −26.6696 | − | 15.3977i | −0.876417 | − | 0.506000i | ||||
\(927\) | −23.9766 | − | 5.17445i | −0.787496 | − | 0.169951i | ||||
\(928\) | −0.357298 | − | 0.618858i | −0.0117289 | − | 0.0203150i | ||||
\(929\) | 2.23489 | − | 12.6747i | 0.0733243 | − | 0.415843i | −0.925946 | − | 0.377655i | \(-0.876730\pi\) |
0.999271 | − | 0.0381876i | \(-0.0121585\pi\) | |||||||
\(930\) | 4.65586 | − | 7.72140i | 0.152672 | − | 0.253195i | ||||
\(931\) | −8.80057 | + | 8.77713i | −0.288427 | + | 0.287659i | ||||
\(932\) | 0.407524 | − | 1.11966i | 0.0133489 | − | 0.0366758i | ||||
\(933\) | −21.8812 | + | 36.2883i | −0.716357 | + | 1.18803i | ||||
\(934\) | 56.4380 | + | 9.95155i | 1.84671 | + | 0.325625i | ||||
\(935\) | 36.3780 | − | 21.0028i | 1.18969 | − | 0.686867i | ||||
\(936\) | −0.766518 | + | 0.246421i | −0.0250544 | + | 0.00805454i | ||||
\(937\) | 3.62026 | + | 2.09016i | 0.118269 | + | 0.0682824i | 0.557967 | − | 0.829863i | \(-0.311581\pi\) |
−0.439699 | + | 0.898145i | \(0.644915\pi\) | |||||||
\(938\) | −34.2245 | + | 26.2251i | −1.11747 | + | 0.856281i | ||||
\(939\) | −0.0507691 | + | 0.131645i | −0.00165679 | + | 0.00429608i | ||||
\(940\) | −0.140216 | − | 0.795202i | −0.00457333 | − | 0.0259366i | ||||
\(941\) | 15.9401 | − | 13.3754i | 0.519633 | − | 0.436024i | −0.344871 | − | 0.938650i | \(-0.612077\pi\) |
0.864504 | + | 0.502626i | \(0.167633\pi\) | |||||||
\(942\) | −34.6421 | + | 11.8680i | −1.12870 | + | 0.386679i | ||||
\(943\) | 5.63777 | + | 15.4896i | 0.183591 | + | 0.504412i | ||||
\(944\) | −30.6195 | −0.996581 | ||||||||
\(945\) | −8.54715 | − | 33.7922i | −0.278039 | − | 1.09926i | ||||
\(946\) | 18.0436 | 0.586647 | ||||||||
\(947\) | −12.6075 | − | 34.6388i | −0.409688 | − | 1.12561i | −0.957355 | − | 0.288913i | \(-0.906706\pi\) |
0.547667 | − | 0.836697i | \(-0.315516\pi\) | |||||||
\(948\) | 0.610310 | + | 0.532204i | 0.0198219 | + | 0.0172852i | ||||
\(949\) | −1.02964 | + | 0.863970i | −0.0334235 | + | 0.0280456i | ||||
\(950\) | −0.634488 | − | 3.59836i | −0.0205855 | − | 0.116746i | ||||
\(951\) | 13.6559 | + | 16.9173i | 0.442821 | + | 0.548582i | ||||
\(952\) | −45.9156 | + | 35.1836i | −1.48813 | + | 1.14031i | ||||
\(953\) | 20.4679 | + | 11.8171i | 0.663020 | + | 0.382795i | 0.793427 | − | 0.608666i | \(-0.208295\pi\) |
−0.130407 | + | 0.991461i | \(0.541628\pi\) | |||||||
\(954\) | −39.9568 | − | 1.51987i | −1.29365 | − | 0.0492076i | ||||
\(955\) | 3.06686 | − | 1.77065i | 0.0992412 | − | 0.0572969i | ||||
\(956\) | 0.291020 | + | 0.0513147i | 0.00941226 | + | 0.00165963i | ||||
\(957\) | −6.09650 | − | 0.115907i | −0.197072 | − | 0.00374673i | ||||
\(958\) | −3.65523 | + | 10.0427i | −0.118095 | + | 0.324464i | ||||
\(959\) | 19.9182 | − | 31.2194i | 0.643194 | − | 1.00813i | ||||
\(960\) | −16.2965 | − | 29.5079i | −0.525967 | − | 0.952362i | ||||
\(961\) | 5.03039 | − | 28.5287i | 0.162271 | − | 0.920282i | ||||
\(962\) | −0.262505 | − | 0.454671i | −0.00846349 | − | 0.0146592i | ||||
\(963\) | 9.79542 | − | 24.0289i | 0.315653 | − | 0.774320i | ||||
\(964\) | −1.57672 | − | 0.910319i | −0.0507827 | − | 0.0293194i | ||||
\(965\) | 2.15895 | + | 1.81158i | 0.0694991 | + | 0.0583167i | ||||
\(966\) | −2.48810 | + | 39.2480i | −0.0800534 | + | 1.26278i | ||||
\(967\) | 7.67106 | + | 43.5048i | 0.246685 | + | 1.39902i | 0.816547 | + | 0.577279i | \(0.195885\pi\) |
−0.569862 | + | 0.821740i | \(0.693004\pi\) | |||||||
\(968\) | −11.7373 | − | 13.9880i | −0.377252 | − | 0.449591i | ||||
\(969\) | 23.7990 | + | 4.66452i | 0.764535 | + | 0.149846i | ||||
\(970\) | 52.5772 | − | 19.1365i | 1.68815 | − | 0.614437i | ||||
\(971\) | −33.0944 | −1.06205 | −0.531025 | − | 0.847356i | \(-0.678193\pi\) | ||||
−0.531025 | + | 0.847356i | \(0.678193\pi\) | |||||||
\(972\) | 0.313154 | − | 1.13335i | 0.0100444 | − | 0.0363523i | ||||
\(973\) | 10.0061 | − | 44.9928i | 0.320782 | − | 1.44240i | ||||
\(974\) | 10.4752 | + | 28.7804i | 0.335648 | + | 0.922184i | ||||
\(975\) | −0.235015 | − | 0.0460619i | −0.00752649 | − | 0.00147516i | ||||
\(976\) | 32.3676 | + | 38.5742i | 1.03606 | + | 1.23473i | ||||
\(977\) | −48.6949 | + | 8.58623i | −1.55789 | + | 0.274698i | −0.885194 | − | 0.465222i | \(-0.845974\pi\) |
−0.672695 | + | 0.739920i | \(0.734863\pi\) | |||||||
\(978\) | −3.83701 | + | 0.601603i | −0.122694 | + | 0.0192371i | ||||
\(979\) | 16.9749 | − | 20.2299i | 0.542521 | − | 0.646552i | ||||
\(980\) | 1.09763 | − | 0.766391i | 0.0350626 | − | 0.0244815i | ||||
\(981\) | 6.54581 | + | 2.66841i | 0.208991 | + | 0.0851958i | ||||
\(982\) | −26.6755 | − | 46.2033i | −0.851249 | − | 1.47441i | ||||
\(983\) | −3.47841 | + | 19.7270i | −0.110944 | + | 0.629194i | 0.877735 | + | 0.479147i | \(0.159054\pi\) |
−0.988679 | + | 0.150048i | \(0.952057\pi\) | |||||||
\(984\) | −11.6325 | + | 6.42435i | −0.370830 | + | 0.204801i | ||||
\(985\) | −3.19723 | + | 8.78432i | −0.101872 | + | 0.279892i | ||||
\(986\) | 17.8875 | + | 6.51053i | 0.569655 | + | 0.207337i | ||||
\(987\) | 18.8038 | + | 4.55862i | 0.598530 | + | 0.145103i | ||||
\(988\) | −0.00225127 | + | 0.0127676i | −7.16225e−5 | + | 0.000406191i | ||||
\(989\) | 30.7540 | − | 17.7558i | 0.977920 | − | 0.564602i | ||||
\(990\) | 23.0057 | + | 0.875085i | 0.731168 | + | 0.0278120i | ||||
\(991\) | −30.2226 | + | 52.3470i | −0.960051 | + | 1.66286i | −0.237691 | + | 0.971341i | \(0.576391\pi\) |
−0.722360 | + | 0.691517i | \(0.756943\pi\) | |||||||
\(992\) | −0.465596 | − | 0.390682i | −0.0147827 | − | 0.0124042i | ||||
\(993\) | −14.9418 | + | 12.0612i | −0.474163 | + | 0.382749i | ||||
\(994\) | −2.32398 | + | 52.4258i | −0.0737123 | + | 1.66284i | ||||
\(995\) | 28.3753 | + | 33.8163i | 0.899556 | + | 1.07205i | ||||
\(996\) | 0.909222 | + | 0.792863i | 0.0288098 | + | 0.0251228i | ||||
\(997\) | −12.9226 | − | 35.5046i | −0.409264 | − | 1.12444i | −0.957579 | − | 0.288171i | \(-0.906953\pi\) |
0.548315 | − | 0.836272i | \(-0.315269\pi\) | |||||||
\(998\) | − | 11.6580i | − | 0.369028i | ||||||
\(999\) | −19.5307 | − | 1.11503i | −0.617925 | − | 0.0352780i |
(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 | 189.2.be.a.20.17 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.5 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.18 | yes | 132 | |
21.20 | even | 2 | 567.2.be.a.62.6 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.6 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.18 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.17 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.5 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.17 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.20.18 | yes | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.104.17 | yes | 132 | 189.104 | even | 18 | inner | |
189.2.be.a.104.18 | yes | 132 | 27.23 | odd | 18 | inner | |
567.2.be.a.62.5 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.62.6 | 132 | 21.20 | even | 2 | |||
567.2.be.a.503.5 | 132 | 189.139 | odd | 18 | |||
567.2.be.a.503.6 | 132 | 27.4 | even | 9 |