Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 155.3 | ||
Character | \(\chi\) | \(=\) | 177.155 |
Dual form | 177.2.f.a.8.3 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{55}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.317307 | − | 1.93549i | −0.224370 | − | 1.36860i | −0.823214 | − | 0.567731i | \(-0.807821\pi\) |
0.598844 | − | 0.800866i | \(-0.295627\pi\) | |||||||
\(3\) | 1.61303 | − | 0.630969i | 0.931286 | − | 0.364290i | ||||
\(4\) | −1.75012 | + | 0.589685i | −0.875062 | + | 0.294843i | ||||
\(5\) | 2.92507 | + | 1.98325i | 1.30813 | + | 0.886936i | 0.997966 | − | 0.0637465i | \(-0.0203049\pi\) |
0.310166 | + | 0.950682i | \(0.399615\pi\) | |||||||
\(6\) | −1.73306 | − | 2.92180i | −0.707519 | − | 1.19282i | ||||
\(7\) | −2.73852 | − | 0.602794i | −1.03506 | − | 0.227835i | −0.335226 | − | 0.942138i | \(-0.608813\pi\) |
−0.699837 | + | 0.714303i | \(0.746744\pi\) | |||||||
\(8\) | −0.140747 | − | 0.265477i | −0.0497616 | − | 0.0938604i | ||||
\(9\) | 2.20376 | − | 2.03555i | 0.734586 | − | 0.678516i | ||||
\(10\) | 2.91041 | − | 6.29074i | 0.920352 | − | 1.98931i | ||||
\(11\) | 2.01160 | + | 1.52918i | 0.606521 | + | 0.461065i | 0.862805 | − | 0.505536i | \(-0.168705\pi\) |
−0.256285 | + | 0.966601i | \(0.582498\pi\) | |||||||
\(12\) | −2.45094 | + | 2.05546i | −0.707524 | + | 0.593359i | ||||
\(13\) | −2.03098 | + | 3.37551i | −0.563292 | + | 0.936199i | 0.436050 | + | 0.899923i | \(0.356377\pi\) |
−0.999342 | + | 0.0362761i | \(0.988450\pi\) | |||||||
\(14\) | −0.297748 | + | 5.49164i | −0.0795766 | + | 1.46770i | ||||
\(15\) | 5.96961 | + | 1.35342i | 1.54135 | + | 0.349451i | ||||
\(16\) | −3.40961 | + | 2.59192i | −0.852403 | + | 0.647980i | ||||
\(17\) | −1.04883 | − | 4.76487i | −0.254378 | − | 1.15565i | −0.914530 | − | 0.404519i | \(-0.867439\pi\) |
0.660151 | − | 0.751133i | \(-0.270492\pi\) | |||||||
\(18\) | −4.63905 | − | 3.61945i | −1.09343 | − | 0.853113i | ||||
\(19\) | −5.48029 | − | 0.596018i | −1.25727 | − | 0.136736i | −0.544874 | − | 0.838518i | \(-0.683422\pi\) |
−0.712392 | + | 0.701782i | \(0.752388\pi\) | |||||||
\(20\) | −6.28873 | − | 1.74606i | −1.40620 | − | 0.390430i | ||||
\(21\) | −4.79767 | + | 0.755593i | −1.04694 | + | 0.164884i | ||||
\(22\) | 2.32141 | − | 4.37865i | 0.494927 | − | 0.933531i | ||||
\(23\) | −5.39194 | + | 6.34788i | −1.12430 | + | 1.32362i | −0.184133 | + | 0.982901i | \(0.558948\pi\) |
−0.940164 | + | 0.340723i | \(0.889328\pi\) | |||||||
\(24\) | −0.394538 | − | 0.339417i | −0.0805347 | − | 0.0692832i | ||||
\(25\) | 2.77209 | + | 6.95741i | 0.554417 | + | 1.39148i | ||||
\(26\) | 7.17771 | + | 2.85986i | 1.40766 | + | 0.560865i | ||||
\(27\) | 2.27037 | − | 4.67391i | 0.436933 | − | 0.899494i | ||||
\(28\) | 5.14821 | − | 0.559901i | 0.972920 | − | 0.105811i | ||||
\(29\) | 4.96592 | + | 0.814121i | 0.922148 | + | 0.151179i | 0.604112 | − | 0.796900i | \(-0.293528\pi\) |
0.318037 | + | 0.948078i | \(0.396976\pi\) | |||||||
\(30\) | 0.725325 | − | 11.9836i | 0.132426 | − | 2.18789i | ||||
\(31\) | −0.0516452 | − | 0.474870i | −0.00927576 | − | 0.0852892i | 0.988585 | − | 0.150664i | \(-0.0481412\pi\) |
−0.997861 | + | 0.0653749i | \(0.979176\pi\) | |||||||
\(32\) | 5.66223 | + | 5.36355i | 1.00095 | + | 0.948151i | ||||
\(33\) | 4.20965 | + | 1.19736i | 0.732805 | + | 0.208434i | ||||
\(34\) | −8.88956 | + | 3.54192i | −1.52455 | + | 0.607435i | ||||
\(35\) | −6.81488 | − | 7.19438i | −1.15192 | − | 1.21607i | ||||
\(36\) | −2.65651 | + | 4.86198i | −0.442752 | + | 0.810331i | ||||
\(37\) | 4.35883 | + | 2.31091i | 0.716587 | + | 0.379911i | 0.786457 | − | 0.617646i | \(-0.211913\pi\) |
−0.0698691 | + | 0.997556i | \(0.522258\pi\) | |||||||
\(38\) | 0.585351 | + | 10.7962i | 0.0949564 | + | 1.75137i | ||||
\(39\) | −1.14619 | + | 6.72630i | −0.183538 | + | 1.07707i | ||||
\(40\) | 0.114812 | − | 1.05568i | 0.0181533 | − | 0.166917i | ||||
\(41\) | 5.04670 | − | 4.28671i | 0.788162 | − | 0.669471i | −0.160050 | − | 0.987109i | \(-0.551166\pi\) |
0.948212 | + | 0.317638i | \(0.102890\pi\) | |||||||
\(42\) | 2.98478 | + | 9.04608i | 0.460561 | + | 1.39584i | ||||
\(43\) | −1.09884 | − | 1.44550i | −0.167571 | − | 0.220437i | 0.704641 | − | 0.709564i | \(-0.251108\pi\) |
−0.872212 | + | 0.489128i | \(0.837315\pi\) | |||||||
\(44\) | −4.42229 | − | 1.49004i | −0.666685 | − | 0.224632i | ||||
\(45\) | 10.4831 | − | 1.58353i | 1.56274 | − | 0.236058i | ||||
\(46\) | 13.9971 | + | 8.42180i | 2.06377 | + | 1.24173i | ||||
\(47\) | −2.14776 | − | 3.16771i | −0.313283 | − | 0.462058i | 0.638151 | − | 0.769912i | \(-0.279700\pi\) |
−0.951434 | + | 0.307853i | \(0.900389\pi\) | |||||||
\(48\) | −3.86440 | + | 6.33222i | −0.557778 | + | 0.913977i | ||||
\(49\) | 0.783101 | + | 0.362301i | 0.111872 | + | 0.0517573i | ||||
\(50\) | 12.5864 | − | 7.57298i | 1.77998 | − | 1.07098i | ||||
\(51\) | −4.69828 | − | 7.02413i | −0.657891 | − | 0.983574i | ||||
\(52\) | 1.56397 | − | 7.10520i | 0.216884 | − | 0.985314i | ||||
\(53\) | −2.23874 | − | 4.83896i | −0.307515 | − | 0.664682i | 0.690779 | − | 0.723066i | \(-0.257268\pi\) |
−0.998294 | + | 0.0583832i | \(0.981405\pi\) | |||||||
\(54\) | −9.76670 | − | 2.91121i | −1.32908 | − | 0.396165i | ||||
\(55\) | 2.85134 | + | 8.46247i | 0.384474 | + | 1.14108i | ||||
\(56\) | 0.225411 | + | 0.811856i | 0.0301218 | + | 0.108489i | ||||
\(57\) | −9.21597 | + | 2.49650i | −1.22068 | + | 0.330669i | ||||
\(58\) | − | 9.86981i | − | 1.29597i | ||||||
\(59\) | 7.29534 | + | 2.40374i | 0.949773 | + | 0.312940i | ||||
\(60\) | −11.2456 | + | 1.15154i | −1.45181 | + | 0.148663i | ||||
\(61\) | 10.4904 | − | 1.71981i | 1.34316 | − | 0.220199i | 0.553039 | − | 0.833156i | \(-0.313468\pi\) |
0.790117 | + | 0.612957i | \(0.210020\pi\) | |||||||
\(62\) | −0.902718 | + | 0.250638i | −0.114645 | + | 0.0318311i | ||||
\(63\) | −7.26205 | + | 4.24598i | −0.914932 | + | 0.534943i | ||||
\(64\) | 3.77737 | − | 5.57120i | 0.472171 | − | 0.696400i | ||||
\(65\) | −12.6352 | + | 5.84569i | −1.56721 | + | 0.725068i | ||||
\(66\) | 0.981728 | − | 8.52765i | 0.120842 | − | 1.04968i | ||||
\(67\) | −2.77767 | + | 1.47262i | −0.339346 | + | 0.179910i | −0.629363 | − | 0.777112i | \(-0.716684\pi\) |
0.290017 | + | 0.957022i | \(0.406339\pi\) | |||||||
\(68\) | 4.64536 | + | 7.72064i | 0.563332 | + | 0.936265i | ||||
\(69\) | −4.69207 | + | 13.6415i | −0.564858 | + | 1.64224i | ||||
\(70\) | −11.7622 | + | 15.4729i | −1.40586 | + | 1.84937i | ||||
\(71\) | −2.09285 | + | 1.41899i | −0.248376 | + | 0.168403i | −0.679022 | − | 0.734118i | \(-0.737596\pi\) |
0.430646 | + | 0.902521i | \(0.358286\pi\) | |||||||
\(72\) | −0.850564 | − | 0.298550i | −0.100240 | − | 0.0351845i | ||||
\(73\) | −4.66322 | − | 0.252832i | −0.545788 | − | 0.0295918i | −0.220816 | − | 0.975315i | \(-0.570872\pi\) |
−0.324972 | + | 0.945724i | \(0.605355\pi\) | |||||||
\(74\) | 3.08964 | − | 9.16973i | 0.359164 | − | 1.06596i | ||||
\(75\) | 8.86138 | + | 9.47344i | 1.02322 | + | 1.09390i | ||||
\(76\) | 9.94265 | − | 2.18854i | 1.14050 | − | 0.251043i | ||||
\(77\) | −4.58703 | − | 5.40027i | −0.522741 | − | 0.615418i | ||||
\(78\) | 13.3824 | + | 0.0841429i | 1.51525 | + | 0.00952730i | ||||
\(79\) | 0.406217 | − | 1.46306i | 0.0457030 | − | 0.164607i | −0.937177 | − | 0.348854i | \(-0.886571\pi\) |
0.982880 | + | 0.184247i | \(0.0589846\pi\) | |||||||
\(80\) | −15.1138 | + | 0.819446i | −1.68977 | + | 0.0916169i | ||||
\(81\) | 0.713091 | − | 8.97171i | 0.0792323 | − | 0.996856i | ||||
\(82\) | −9.89822 | − | 8.40762i | −1.09308 | − | 0.928467i | ||||
\(83\) | −0.830942 | + | 0.787110i | −0.0912077 | + | 0.0863965i | −0.731945 | − | 0.681364i | \(-0.761387\pi\) |
0.640738 | + | 0.767760i | \(0.278629\pi\) | |||||||
\(84\) | 7.95095 | − | 4.15150i | 0.867520 | − | 0.452965i | ||||
\(85\) | 6.38203 | − | 16.0177i | 0.692229 | − | 1.73736i | ||||
\(86\) | −2.44908 | + | 2.58546i | −0.264091 | + | 0.278797i | ||||
\(87\) | 8.52388 | − | 1.82014i | 0.913856 | − | 0.195139i | ||||
\(88\) | 0.122835 | − | 0.749262i | 0.0130943 | − | 0.0798716i | ||||
\(89\) | −1.85800 | + | 11.3333i | −0.196948 | + | 1.20133i | 0.684487 | + | 0.729025i | \(0.260026\pi\) |
−0.881435 | + | 0.472305i | \(0.843422\pi\) | |||||||
\(90\) | −6.39128 | − | 19.7875i | −0.673700 | − | 2.08579i | ||||
\(91\) | 7.59661 | − | 8.01965i | 0.796341 | − | 0.840687i | ||||
\(92\) | 5.69331 | − | 14.2891i | 0.593568 | − | 1.48974i | ||||
\(93\) | −0.382934 | − | 0.733395i | −0.0397084 | − | 0.0760495i | ||||
\(94\) | −5.44957 | + | 5.16211i | −0.562080 | + | 0.532430i | ||||
\(95\) | −14.8482 | − | 12.6122i | −1.52339 | − | 1.29398i | ||||
\(96\) | 12.5176 | + | 5.07890i | 1.27757 | + | 0.518363i | ||||
\(97\) | −11.0444 | + | 0.598809i | −1.12139 | + | 0.0607999i | −0.605492 | − | 0.795852i | \(-0.707024\pi\) |
−0.515896 | + | 0.856651i | \(0.672541\pi\) | |||||||
\(98\) | 0.452746 | − | 1.63064i | 0.0457342 | − | 0.164720i | ||||
\(99\) | 7.54580 | − | 0.724770i | 0.758381 | − | 0.0728422i | ||||
\(100\) | −8.95418 | − | 10.5417i | −0.895418 | − | 1.05417i | ||||
\(101\) | −3.38838 | + | 0.745839i | −0.337156 | + | 0.0742137i | −0.380322 | − | 0.924854i | \(-0.624187\pi\) |
0.0431655 | + | 0.999068i | \(0.486256\pi\) | |||||||
\(102\) | −12.1043 | + | 11.3223i | −1.19851 | + | 1.12107i | ||||
\(103\) | 1.52377 | − | 4.52239i | 0.150142 | − | 0.445604i | −0.846019 | − | 0.533153i | \(-0.821007\pi\) |
0.996160 | + | 0.0875489i | \(0.0279034\pi\) | |||||||
\(104\) | 1.18198 | + | 0.0640849i | 0.115902 | + | 0.00628404i | ||||
\(105\) | −15.5321 | − | 7.30481i | −1.51577 | − | 0.712876i | ||||
\(106\) | −8.65538 | + | 5.86849i | −0.840685 | + | 0.569999i | ||||
\(107\) | 7.36764 | − | 9.69196i | 0.712256 | − | 0.936957i | −0.287527 | − | 0.957773i | \(-0.592833\pi\) |
0.999783 | + | 0.0208154i | \(0.00662624\pi\) | |||||||
\(108\) | −1.21729 | + | 9.51872i | −0.117134 | + | 0.915939i | ||||
\(109\) | 2.27824 | + | 3.78647i | 0.218216 | + | 0.362678i | 0.946557 | − | 0.322537i | \(-0.104536\pi\) |
−0.728341 | + | 0.685215i | \(0.759708\pi\) | |||||||
\(110\) | 15.4743 | − | 8.20393i | 1.47541 | − | 0.782214i | ||||
\(111\) | 8.48905 | + | 0.977284i | 0.805745 | + | 0.0927597i | ||||
\(112\) | 10.8997 | − | 5.04273i | 1.02992 | − | 0.476493i | ||||
\(113\) | 2.50884 | − | 3.70026i | 0.236012 | − | 0.348091i | −0.691177 | − | 0.722685i | \(-0.742908\pi\) |
0.927189 | + | 0.374594i | \(0.122218\pi\) | |||||||
\(114\) | 7.75623 | + | 17.0452i | 0.726438 | + | 1.59643i | ||||
\(115\) | −28.3612 | + | 7.87446i | −2.64470 | + | 0.734297i | ||||
\(116\) | −9.17105 | + | 1.50352i | −0.851511 | + | 0.139598i | ||||
\(117\) | 2.39523 | + | 11.5730i | 0.221439 | + | 1.06992i | ||||
\(118\) | 2.33755 | − | 14.8828i | 0.215189 | − | 1.37007i | ||||
\(119\) | 13.6809i | 1.25413i | ||||||||
\(120\) | −0.480904 | − | 1.77529i | −0.0439003 | − | 0.162061i | ||||
\(121\) | −1.23466 | − | 4.44685i | −0.112242 | − | 0.404259i | ||||
\(122\) | −6.65734 | − | 19.7583i | −0.602728 | − | 1.78883i | ||||
\(123\) | 5.43572 | − | 10.0989i | 0.490122 | − | 0.910588i | ||||
\(124\) | 0.370409 | + | 0.800627i | 0.0332637 | + | 0.0718984i | ||||
\(125\) | −1.89117 | + | 8.59167i | −0.169151 | + | 0.768463i | ||||
\(126\) | 10.5223 | + | 12.7083i | 0.937404 | + | 1.13215i | ||||
\(127\) | −14.8793 | + | 8.95260i | −1.32033 | + | 0.794415i | −0.988831 | − | 0.149041i | \(-0.952381\pi\) |
−0.331497 | + | 0.943456i | \(0.607554\pi\) | |||||||
\(128\) | 2.17526 | + | 1.00638i | 0.192268 | + | 0.0889526i | ||||
\(129\) | −2.68453 | − | 1.63831i | −0.236360 | − | 0.144245i | ||||
\(130\) | 15.3235 | + | 22.6005i | 1.34396 | + | 1.98219i | ||||
\(131\) | 13.0645 | + | 7.86064i | 1.14145 | + | 0.686788i | 0.955272 | − | 0.295729i | \(-0.0955624\pi\) |
0.186178 | + | 0.982516i | \(0.440390\pi\) | |||||||
\(132\) | −8.07347 | + | 0.386836i | −0.702705 | + | 0.0336698i | ||||
\(133\) | 14.6486 | + | 4.93569i | 1.27020 | + | 0.427979i | ||||
\(134\) | 3.73162 | + | 4.90886i | 0.322363 | + | 0.424061i | ||||
\(135\) | 15.9105 | − | 9.16882i | 1.36936 | − | 0.789127i | ||||
\(136\) | −1.11735 | + | 0.949083i | −0.0958117 | + | 0.0813832i | ||||
\(137\) | 0.408724 | − | 3.75816i | 0.0349197 | − | 0.321081i | −0.963630 | − | 0.267241i | \(-0.913888\pi\) |
0.998550 | − | 0.0538407i | \(-0.0171463\pi\) | |||||||
\(138\) | 27.8918 | + | 4.75289i | 2.37430 | + | 0.404593i | ||||
\(139\) | 0.313579 | + | 5.78363i | 0.0265974 | + | 0.490561i | 0.981238 | + | 0.192800i | \(0.0617569\pi\) |
−0.954641 | + | 0.297761i | \(0.903760\pi\) | |||||||
\(140\) | 16.1693 | + | 8.57242i | 1.36656 | + | 0.724502i | ||||
\(141\) | −5.46314 | − | 3.75446i | −0.460079 | − | 0.316182i | ||||
\(142\) | 3.41052 | + | 3.60044i | 0.286204 | + | 0.302142i | ||||
\(143\) | −9.24728 | + | 3.68445i | −0.773297 | + | 0.308110i | ||||
\(144\) | −2.23798 | + | 12.6524i | −0.186498 | + | 1.05437i | ||||
\(145\) | 12.9111 | + | 12.2300i | 1.07221 | + | 1.01565i | ||||
\(146\) | 0.990318 | + | 9.10582i | 0.0819593 | + | 0.753603i | ||||
\(147\) | 1.49177 | + | 0.0902918i | 0.123039 | + | 0.00744714i | ||||
\(148\) | −8.99120 | − | 1.47403i | −0.739072 | − | 0.121165i | ||||
\(149\) | −2.81878 | + | 0.306561i | −0.230924 | + | 0.0251145i | −0.222849 | − | 0.974853i | \(-0.571536\pi\) |
−0.00807447 | + | 0.999967i | \(0.502570\pi\) | |||||||
\(150\) | 15.5240 | − | 20.1571i | 1.26753 | − | 1.64582i | ||||
\(151\) | −12.8488 | − | 5.11941i | −1.04562 | − | 0.416612i | −0.216850 | − | 0.976205i | \(-0.569578\pi\) |
−0.828768 | + | 0.559593i | \(0.810957\pi\) | |||||||
\(152\) | 0.613107 | + | 1.53878i | 0.0497295 | + | 0.124812i | ||||
\(153\) | −12.0105 | − | 8.36569i | −0.970991 | − | 0.676326i | ||||
\(154\) | −8.99666 | + | 10.5917i | −0.724971 | + | 0.853502i | ||||
\(155\) | 0.790719 | − | 1.49145i | 0.0635121 | − | 0.119797i | ||||
\(156\) | −1.96042 | − | 12.4478i | −0.156959 | − | 0.996618i | ||||
\(157\) | −1.16061 | − | 0.322242i | −0.0926268 | − | 0.0257177i | 0.220906 | − | 0.975295i | \(-0.429099\pi\) |
−0.313533 | + | 0.949577i | \(0.601512\pi\) | |||||||
\(158\) | −2.96064 | − | 0.321989i | −0.235536 | − | 0.0256160i | ||||
\(159\) | −6.66440 | − | 6.39283i | −0.528521 | − | 0.506985i | ||||
\(160\) | 5.92519 | + | 26.9184i | 0.468427 | + | 2.12809i | ||||
\(161\) | 18.5924 | − | 14.1336i | 1.46529 | − | 1.11388i | ||||
\(162\) | −17.5909 | + | 1.46661i | −1.38207 | + | 0.115228i | ||||
\(163\) | 0.783382 | − | 14.4486i | 0.0613592 | − | 1.13170i | −0.792048 | − | 0.610459i | \(-0.790985\pi\) |
0.853407 | − | 0.521245i | \(-0.174532\pi\) | |||||||
\(164\) | −6.30454 | + | 10.4782i | −0.492302 | + | 0.818212i | ||||
\(165\) | 9.93886 | + | 11.8511i | 0.773739 | + | 0.922610i | ||||
\(166\) | 1.78711 | + | 1.35852i | 0.138706 | + | 0.105442i | ||||
\(167\) | 4.86358 | − | 10.5125i | 0.376355 | − | 0.813478i | −0.623152 | − | 0.782100i | \(-0.714148\pi\) |
0.999508 | − | 0.0313779i | \(-0.00998953\pi\) | |||||||
\(168\) | 0.875851 | + | 1.16732i | 0.0675734 | + | 0.0900611i | ||||
\(169\) | −1.17990 | − | 2.22553i | −0.0907616 | − | 0.171195i | ||||
\(170\) | −33.0271 | − | 7.26982i | −2.53306 | − | 0.557570i | ||||
\(171\) | −13.2905 | + | 9.84192i | −1.01635 | + | 0.752630i | ||||
\(172\) | 2.77549 | + | 1.88183i | 0.211630 | + | 0.143488i | ||||
\(173\) | −13.2431 | + | 4.46213i | −1.00686 | + | 0.339250i | −0.773948 | − | 0.633249i | \(-0.781721\pi\) |
−0.232909 | + | 0.972499i | \(0.574824\pi\) | |||||||
\(174\) | −6.22754 | − | 15.9203i | −0.472109 | − | 1.20692i | ||||
\(175\) | −3.39753 | − | 20.7240i | −0.256829 | − | 1.56659i | ||||
\(176\) | −10.8223 | −0.815761 | ||||||||
\(177\) | 13.2843 | − | 0.725817i | 0.998511 | − | 0.0545557i | ||||
\(178\) | 22.5251 | 1.68833 | ||||||||
\(179\) | −3.59827 | − | 21.9485i | −0.268948 | − | 1.64051i | −0.683118 | − | 0.730308i | \(-0.739377\pi\) |
0.414170 | − | 0.910199i | \(-0.364072\pi\) | |||||||
\(180\) | −17.4130 | + | 8.95313i | −1.29789 | + | 0.667327i | ||||
\(181\) | 13.4277 | − | 4.52433i | 0.998077 | − | 0.336291i | 0.227597 | − | 0.973755i | \(-0.426913\pi\) |
0.770480 | + | 0.637464i | \(0.220017\pi\) | |||||||
\(182\) | −17.9324 | − | 12.1585i | −1.32924 | − | 0.901245i | ||||
\(183\) | 15.8362 | − | 9.39321i | 1.17064 | − | 0.694366i | ||||
\(184\) | 2.44412 | + | 0.537991i | 0.180183 | + | 0.0396612i | ||||
\(185\) | 8.16680 | + | 15.4042i | 0.600435 | + | 1.13254i | ||||
\(186\) | −1.29797 | + | 0.973875i | −0.0951717 | + | 0.0714080i | ||||
\(187\) | 5.17652 | − | 11.1889i | 0.378545 | − | 0.818211i | ||||
\(188\) | 5.62680 | + | 4.27738i | 0.410377 | + | 0.311960i | ||||
\(189\) | −9.03485 | + | 11.4310i | −0.657189 | + | 0.831485i | ||||
\(190\) | −19.6993 | + | 32.7405i | −1.42914 | + | 2.37524i | ||||
\(191\) | 0.830614 | − | 15.3198i | 0.0601011 | − | 1.10850i | −0.800537 | − | 0.599283i | \(-0.795452\pi\) |
0.860638 | − | 0.509217i | \(-0.170065\pi\) | |||||||
\(192\) | 2.57777 | − | 11.3699i | 0.186035 | − | 0.820555i | ||||
\(193\) | −14.6765 | + | 11.1568i | −1.05644 | + | 0.803083i | −0.980988 | − | 0.194067i | \(-0.937832\pi\) |
−0.0754494 | + | 0.997150i | \(0.524039\pi\) | |||||||
\(194\) | 4.66345 | + | 21.1863i | 0.334816 | + | 1.52109i | ||||
\(195\) | −16.6926 | + | 17.4017i | −1.19538 | + | 1.24616i | ||||
\(196\) | −1.58417 | − | 0.172289i | −0.113155 | − | 0.0123063i | ||||
\(197\) | 26.1430 | + | 7.25858i | 1.86261 | + | 0.517152i | 0.999935 | + | 0.0114000i | \(0.00362880\pi\) |
0.862679 | + | 0.505752i | \(0.168785\pi\) | |||||||
\(198\) | −3.79712 | − | 14.3748i | −0.269850 | − | 1.02157i | ||||
\(199\) | 7.20346 | − | 13.5872i | 0.510640 | − | 0.963169i | −0.485403 | − | 0.874291i | \(-0.661327\pi\) |
0.996043 | − | 0.0888780i | \(-0.0283281\pi\) | |||||||
\(200\) | 1.45687 | − | 1.71516i | 0.103016 | − | 0.121280i | ||||
\(201\) | −3.55129 | + | 4.12801i | −0.250489 | + | 0.291168i | ||||
\(202\) | 2.51872 | + | 6.32151i | 0.177216 | + | 0.444780i | ||||
\(203\) | −13.1085 | − | 5.22291i | −0.920038 | − | 0.366577i | ||||
\(204\) | 12.3646 | + | 9.52258i | 0.865695 | + | 0.666714i | ||||
\(205\) | 23.2636 | − | 2.53007i | 1.62480 | − | 0.176707i | ||||
\(206\) | −9.23654 | − | 1.51425i | −0.643540 | − | 0.105503i | ||||
\(207\) | 1.03889 | + | 24.9647i | 0.0722080 | + | 1.73517i | ||||
\(208\) | −1.82421 | − | 16.7733i | −0.126486 | − | 1.16302i | ||||
\(209\) | −10.1127 | − | 9.57930i | −0.699513 | − | 0.662614i | ||||
\(210\) | −9.20993 | + | 32.3800i | −0.635546 | + | 2.23443i | ||||
\(211\) | −12.1728 | + | 4.85010i | −0.838012 | + | 0.333895i | −0.749356 | − | 0.662168i | \(-0.769637\pi\) |
−0.0886566 | + | 0.996062i | \(0.528257\pi\) | |||||||
\(212\) | 6.77154 | + | 7.14863i | 0.465071 | + | 0.490970i | ||||
\(213\) | −2.48051 | + | 3.60940i | −0.169961 | + | 0.247312i | ||||
\(214\) | −21.0965 | − | 11.1846i | −1.44213 | − | 0.764566i | ||||
\(215\) | −0.347403 | − | 6.40746i | −0.0236927 | − | 0.436985i | ||||
\(216\) | −1.56037 | + | 0.0551083i | −0.106169 | + | 0.00374964i | ||||
\(217\) | −0.144817 | + | 1.33157i | −0.00983083 | + | 0.0903930i | ||||
\(218\) | 6.60577 | − | 5.61099i | 0.447399 | − | 0.380024i | ||||
\(219\) | −7.68145 | + | 2.53452i | −0.519065 | + | 0.171267i | ||||
\(220\) | −9.98039 | − | 13.1290i | −0.672878 | − | 0.885155i | ||||
\(221\) | 18.2140 | + | 6.13702i | 1.22521 | + | 0.412821i | ||||
\(222\) | −0.802115 | − | 16.7406i | −0.0538345 | − | 1.12355i | ||||
\(223\) | 20.4891 | + | 12.3279i | 1.37205 | + | 0.825535i | 0.994924 | − | 0.100626i | \(-0.0320847\pi\) |
0.377126 | + | 0.926162i | \(0.376912\pi\) | |||||||
\(224\) | −12.2730 | − | 18.1014i | −0.820026 | − | 1.20945i | ||||
\(225\) | 20.2711 | + | 9.68973i | 1.35141 | + | 0.645982i | ||||
\(226\) | −7.95788 | − | 3.68171i | −0.529350 | − | 0.244904i | ||||
\(227\) | 9.31905 | − | 5.60708i | 0.618527 | − | 0.372155i | −0.171539 | − | 0.985177i | \(-0.554874\pi\) |
0.790066 | + | 0.613022i | \(0.210046\pi\) | |||||||
\(228\) | 14.6569 | − | 9.80370i | 0.970679 | − | 0.649266i | ||||
\(229\) | −4.66292 | + | 21.1838i | −0.308134 | + | 1.39987i | 0.527021 | + | 0.849853i | \(0.323309\pi\) |
−0.835155 | + | 0.550015i | \(0.814622\pi\) | |||||||
\(230\) | 24.2401 | + | 52.3942i | 1.59835 | + | 3.45477i | ||||
\(231\) | −10.8064 | − | 5.81654i | −0.711011 | − | 0.382701i | ||||
\(232\) | −0.482809 | − | 1.43292i | −0.0316979 | − | 0.0940761i | ||||
\(233\) | −1.36198 | − | 4.90543i | −0.0892266 | − | 0.321365i | 0.905444 | − | 0.424465i | \(-0.139538\pi\) |
−0.994671 | + | 0.103100i | \(0.967124\pi\) | |||||||
\(234\) | 21.6393 | − | 8.30813i | 1.41461 | − | 0.543119i | ||||
\(235\) | − | 13.5253i | − | 0.882296i | ||||||
\(236\) | −14.1852 | + | 0.0951123i | −0.923378 | + | 0.00619128i | ||||
\(237\) | −0.267904 | − | 2.61628i | −0.0174023 | − | 0.169946i | ||||
\(238\) | 26.4793 | − | 4.34106i | 1.71640 | − | 0.281389i | ||||
\(239\) | −5.75444 | + | 1.59771i | −0.372224 | + | 0.103347i | −0.448602 | − | 0.893731i | \(-0.648078\pi\) |
0.0763785 | + | 0.997079i | \(0.475664\pi\) | |||||||
\(240\) | −23.8620 | + | 10.8581i | −1.54029 | + | 0.700889i | ||||
\(241\) | −0.251706 | + | 0.371239i | −0.0162138 | + | 0.0239136i | −0.835710 | − | 0.549172i | \(-0.814943\pi\) |
0.819496 | + | 0.573085i | \(0.194254\pi\) | |||||||
\(242\) | −8.21506 | + | 3.80069i | −0.528084 | + | 0.244318i | ||||
\(243\) | −4.51063 | − | 14.9216i | −0.289357 | − | 0.957221i | ||||
\(244\) | −17.3453 | + | 9.19590i | −1.11042 | + | 0.588707i | ||||
\(245\) | 1.57209 | + | 2.61284i | 0.100437 | + | 0.166928i | ||||
\(246\) | −21.2711 | − | 7.31632i | −1.35620 | − | 0.466471i | ||||
\(247\) | 13.1422 | − | 17.2883i | 0.836219 | − | 1.10003i | ||||
\(248\) | −0.118798 | + | 0.0805473i | −0.00754370 | + | 0.00511476i | ||||
\(249\) | −0.843696 | + | 1.79393i | −0.0534670 | + | 0.113686i | ||||
\(250\) | 17.2292 | + | 0.934138i | 1.08967 | + | 0.0590801i | ||||
\(251\) | −4.78916 | + | 14.2137i | −0.302289 | + | 0.897161i | 0.683614 | + | 0.729844i | \(0.260407\pi\) |
−0.985903 | + | 0.167318i | \(0.946489\pi\) | |||||||
\(252\) | 10.2057 | − | 11.7133i | 0.642898 | − | 0.737869i | ||||
\(253\) | −20.5535 | + | 4.52416i | −1.29219 | + | 0.284432i | ||||
\(254\) | 22.0490 | + | 25.9581i | 1.38348 | + | 1.62875i | ||||
\(255\) | 0.187772 | − | 29.8639i | 0.0117588 | − | 1.87015i | ||||
\(256\) | 4.85910 | − | 17.5009i | 0.303694 | − | 1.09381i | ||||
\(257\) | 8.52521 | − | 0.462223i | 0.531788 | − | 0.0288327i | 0.213710 | − | 0.976897i | \(-0.431445\pi\) |
0.318078 | + | 0.948065i | \(0.396963\pi\) | |||||||
\(258\) | −2.31910 | + | 5.71572i | −0.144381 | + | 0.355845i | ||||
\(259\) | −10.5437 | − | 8.95594i | −0.655156 | − | 0.556495i | ||||
\(260\) | 18.6661 | − | 17.6815i | 1.15762 | − | 1.09656i | ||||
\(261\) | 12.6009 | − | 8.31424i | 0.779974 | − | 0.514639i | ||||
\(262\) | 11.0687 | − | 27.7804i | 0.683828 | − | 1.71628i | ||||
\(263\) | −10.4865 | + | 11.0704i | −0.646624 | + | 0.682632i | −0.964071 | − | 0.265644i | \(-0.914416\pi\) |
0.317448 | + | 0.948276i | \(0.397174\pi\) | |||||||
\(264\) | −0.274624 | − | 1.28609i | −0.0169019 | − | 0.0791534i | ||||
\(265\) | 3.04838 | − | 18.5943i | 0.187260 | − | 1.14224i | ||||
\(266\) | 4.90486 | − | 29.9183i | 0.300736 | − | 1.83441i | ||||
\(267\) | 4.15395 | + | 19.4534i | 0.254217 | + | 1.19053i | ||||
\(268\) | 3.99287 | − | 4.21522i | 0.243903 | − | 0.257486i | ||||
\(269\) | −5.50159 | + | 13.8080i | −0.335438 | + | 0.841886i | 0.660414 | + | 0.750901i | \(0.270381\pi\) |
−0.995852 | + | 0.0909845i | \(0.970999\pi\) | |||||||
\(270\) | −22.7947 | − | 27.8853i | −1.38724 | − | 1.69704i | ||||
\(271\) | −9.97089 | + | 9.44493i | −0.605689 | + | 0.573739i | −0.927854 | − | 0.372945i | \(-0.878348\pi\) |
0.322165 | + | 0.946684i | \(0.395589\pi\) | |||||||
\(272\) | 15.9263 | + | 13.5279i | 0.965672 | + | 0.820249i | ||||
\(273\) | 7.19345 | − | 17.7292i | 0.435367 | − | 1.07302i | ||||
\(274\) | −7.40356 | + | 0.401409i | −0.447266 | + | 0.0242500i | ||||
\(275\) | −5.06280 | + | 18.2346i | −0.305298 | + | 1.09959i | ||||
\(276\) | 0.167509 | − | 26.6411i | 0.0100828 | − | 1.60361i | ||||
\(277\) | −14.7747 | − | 17.3941i | −0.887724 | − | 1.04511i | −0.998684 | − | 0.0512844i | \(-0.983669\pi\) |
0.110960 | − | 0.993825i | \(-0.464607\pi\) | |||||||
\(278\) | 11.0946 | − | 2.44211i | 0.665412 | − | 0.146468i | ||||
\(279\) | −1.08043 | − | 0.941372i | −0.0646839 | − | 0.0563585i | ||||
\(280\) | −0.950770 | + | 2.82179i | −0.0568194 | + | 0.168634i | ||||
\(281\) | −21.3154 | − | 1.15568i | −1.27157 | − | 0.0689424i | −0.594037 | − | 0.804437i | \(-0.702467\pi\) |
−0.677530 | + | 0.735495i | \(0.736950\pi\) | |||||||
\(282\) | −5.53321 | + | 11.7652i | −0.329498 | + | 0.700605i | ||||
\(283\) | 14.8764 | − | 10.0865i | 0.884313 | − | 0.599579i | −0.0322456 | − | 0.999480i | \(-0.510266\pi\) |
0.916558 | + | 0.399901i | \(0.130956\pi\) | |||||||
\(284\) | 2.82600 | − | 3.71753i | 0.167692 | − | 0.220595i | ||||
\(285\) | −31.9085 | − | 10.9751i | −1.89010 | − | 0.650110i | ||||
\(286\) | 10.0654 | + | 16.7289i | 0.595182 | + | 0.989201i | ||||
\(287\) | −16.4045 | + | 8.69711i | −0.968326 | + | 0.513374i | ||||
\(288\) | 23.3960 | + | 0.294220i | 1.37862 | + | 0.0173371i | ||||
\(289\) | −6.17520 | + | 2.85695i | −0.363247 | + | 0.168056i | ||||
\(290\) | 19.5743 | − | 28.8699i | 1.14944 | − | 1.69530i | ||||
\(291\) | −17.4371 | + | 7.93456i | −1.02218 | + | 0.465132i | ||||
\(292\) | 8.31030 | − | 2.30734i | 0.486323 | − | 0.135027i | ||||
\(293\) | 17.4739 | − | 2.86470i | 1.02084 | − | 0.167358i | 0.371958 | − | 0.928249i | \(-0.378686\pi\) |
0.648879 | + | 0.760892i | \(0.275238\pi\) | |||||||
\(294\) | −0.298590 | − | 2.91595i | −0.0174141 | − | 0.170062i | ||||
\(295\) | 16.5722 | + | 21.4996i | 0.964870 | + | 1.25176i | ||||
\(296\) | − | 1.48242i | − | 0.0861642i | ||||||
\(297\) | 11.7143 | − | 5.93024i | 0.679734 | − | 0.344108i | ||||
\(298\) | 1.48776 | + | 5.35844i | 0.0861839 | + | 0.310406i | ||||
\(299\) | −10.4764 | − | 31.0930i | −0.605868 | − | 1.79815i | ||||
\(300\) | −21.0949 | − | 11.3543i | −1.21791 | − | 0.655539i | ||||
\(301\) | 2.13786 | + | 4.62090i | 0.123224 | + | 0.266344i | ||||
\(302\) | −5.83156 | + | 26.4930i | −0.335569 | + | 1.52450i | ||||
\(303\) | −4.99497 | + | 3.34102i | −0.286954 | + | 0.191937i | ||||
\(304\) | 20.2305 | − | 12.1723i | 1.16030 | − | 0.698129i | ||||
\(305\) | 34.0959 | + | 15.7745i | 1.95233 | + | 0.903243i | ||||
\(306\) | −12.3807 | + | 25.9007i | −0.707756 | + | 1.48064i | ||||
\(307\) | 15.6892 | + | 23.1398i | 0.895428 | + | 1.32066i | 0.946748 | + | 0.321975i | \(0.104347\pi\) |
−0.0513203 | + | 0.998682i | \(0.516343\pi\) | |||||||
\(308\) | 11.2123 | + | 6.74623i | 0.638882 | + | 0.384402i | ||||
\(309\) | −0.395593 | − | 8.25622i | −0.0225045 | − | 0.469680i | ||||
\(310\) | −3.13759 | − | 1.05718i | −0.178203 | − | 0.0600437i | ||||
\(311\) | 1.19138 | + | 1.56724i | 0.0675570 | + | 0.0888698i | 0.828631 | − | 0.559796i | \(-0.189120\pi\) |
−0.761073 | + | 0.648666i | \(0.775327\pi\) | |||||||
\(312\) | 1.94700 | − | 0.642419i | 0.110227 | − | 0.0363698i | ||||
\(313\) | 19.6652 | − | 16.7038i | 1.11154 | − | 0.944154i | 0.112768 | − | 0.993621i | \(-0.464028\pi\) |
0.998776 | + | 0.0494678i | \(0.0157525\pi\) | |||||||
\(314\) | −0.255425 | + | 2.34860i | −0.0144145 | + | 0.132539i | ||||
\(315\) | −29.6628 | − | 1.98266i | −1.67131 | − | 0.111710i | ||||
\(316\) | 0.151816 | + | 2.80008i | 0.00854031 | + | 0.157517i | ||||
\(317\) | −0.414060 | − | 0.219521i | −0.0232559 | − | 0.0123295i | 0.456740 | − | 0.889600i | \(-0.349017\pi\) |
−0.479996 | + | 0.877271i | \(0.659362\pi\) | |||||||
\(318\) | −10.2586 | + | 14.9274i | −0.575273 | + | 0.837084i | ||||
\(319\) | 8.74452 | + | 9.23147i | 0.489599 | + | 0.516863i | ||||
\(320\) | 22.0982 | − | 8.80471i | 1.23533 | − | 0.492199i | ||||
\(321\) | 5.76892 | − | 20.2822i | 0.321990 | − | 1.13204i | ||||
\(322\) | −33.2548 | − | 31.5007i | −1.85322 | − | 1.75546i | ||||
\(323\) | 2.90794 | + | 26.7380i | 0.161802 | + | 1.48774i | ||||
\(324\) | 4.04249 | + | 16.1221i | 0.224583 | + | 0.895672i | ||||
\(325\) | −29.1149 | − | 4.77314i | −1.61500 | − | 0.264766i | ||||
\(326\) | −28.2137 | + | 3.06843i | −1.56261 | + | 0.169944i | ||||
\(327\) | 6.06403 | + | 4.67021i | 0.335342 | + | 0.258263i | ||||
\(328\) | −1.84833 | − | 0.736443i | −0.102057 | − | 0.0406633i | ||||
\(329\) | 3.97221 | + | 9.96950i | 0.218995 | + | 0.549636i | ||||
\(330\) | 19.7841 | − | 22.9970i | 1.08908 | − | 1.26594i | ||||
\(331\) | −0.648888 | + | 0.763930i | −0.0356661 | + | 0.0419894i | −0.779706 | − | 0.626146i | \(-0.784631\pi\) |
0.744040 | + | 0.668135i | \(0.232907\pi\) | |||||||
\(332\) | 0.990104 | − | 1.86753i | 0.0543390 | − | 0.102494i | ||||
\(333\) | 14.3098 | − | 3.77993i | 0.784170 | − | 0.207139i | ||||
\(334\) | −21.8900 | − | 6.07772i | −1.19777 | − | 0.332558i | ||||
\(335\) | −11.0455 | − | 1.20127i | −0.603478 | − | 0.0656322i | ||||
\(336\) | 14.3998 | − | 15.0115i | 0.785571 | − | 0.818942i | ||||
\(337\) | 5.38470 | + | 24.4629i | 0.293323 | + | 1.33258i | 0.860695 | + | 0.509120i | \(0.170029\pi\) |
−0.567372 | + | 0.823462i | \(0.692040\pi\) | |||||||
\(338\) | −3.93309 | + | 2.98986i | −0.213932 | + | 0.162627i | ||||
\(339\) | 1.71209 | − | 7.55164i | 0.0929881 | − | 0.410149i | ||||
\(340\) | −1.72395 | + | 31.7963i | −0.0934942 | + | 1.72440i | ||||
\(341\) | 0.622272 | − | 1.03422i | 0.0336979 | − | 0.0560064i | ||||
\(342\) | 23.2661 | + | 22.6006i | 1.25809 | + | 1.22210i | ||||
\(343\) | 13.7000 | + | 10.4145i | 0.739731 | + | 0.562329i | ||||
\(344\) | −0.229089 | + | 0.495167i | −0.0123516 | + | 0.0266976i | ||||
\(345\) | −40.7791 | + | 30.5968i | −2.19547 | + | 1.64728i | ||||
\(346\) | 12.8385 | + | 24.2161i | 0.690205 | + | 1.30186i | ||||
\(347\) | −16.2990 | − | 3.58769i | −0.874978 | − | 0.192597i | −0.245294 | − | 0.969449i | \(-0.578885\pi\) |
−0.629684 | + | 0.776852i | \(0.716816\pi\) | |||||||
\(348\) | −13.8445 | + | 8.21187i | −0.742146 | + | 0.440203i | ||||
\(349\) | −3.03224 | − | 2.05591i | −0.162312 | − | 0.110050i | 0.477327 | − | 0.878726i | \(-0.341606\pi\) |
−0.639639 | + | 0.768675i | \(0.720916\pi\) | |||||||
\(350\) | −39.0330 | + | 13.1518i | −2.08640 | + | 0.702991i | ||||
\(351\) | 11.1658 | + | 17.1563i | 0.595985 | + | 0.915734i | ||||
\(352\) | 3.18832 | + | 19.4479i | 0.169938 | + | 1.03658i | ||||
\(353\) | −19.3622 | −1.03054 | −0.515272 | − | 0.857026i | \(-0.672309\pi\) | ||||
−0.515272 | + | 0.857026i | \(0.672309\pi\) | |||||||
\(354\) | −5.62002 | − | 25.4813i | −0.298701 | − | 1.35432i | ||||
\(355\) | −8.93596 | −0.474272 | ||||||||
\(356\) | −3.43136 | − | 20.9304i | −0.181862 | − | 1.10931i | ||||
\(357\) | 8.63224 | + | 22.0678i | 0.456866 | + | 1.16795i | ||||
\(358\) | −41.3393 | + | 13.9288i | −2.18485 | + | 0.736161i | ||||
\(359\) | 2.50053 | + | 1.69540i | 0.131973 | + | 0.0894798i | 0.625387 | − | 0.780315i | \(-0.284941\pi\) |
−0.493414 | + | 0.869794i | \(0.664251\pi\) | |||||||
\(360\) | −1.89586 | − | 2.56016i | −0.0999208 | − | 0.134932i | ||||
\(361\) | 11.1226 | + | 2.44826i | 0.585399 | + | 0.128856i | ||||
\(362\) | −13.0175 | − | 24.5536i | −0.684185 | − | 1.29051i | ||||
\(363\) | −4.79738 | − | 6.39389i | −0.251797 | − | 0.335592i | ||||
\(364\) | −8.56594 | + | 18.5150i | −0.448977 | + | 0.970449i | ||||
\(365\) | −13.1388 | − | 9.98787i | −0.687717 | − | 0.522789i | ||||
\(366\) | −23.2054 | − | 27.6702i | −1.21296 | − | 1.44635i | ||||
\(367\) | 5.84796 | − | 9.71938i | 0.305261 | − | 0.507348i | −0.665816 | − | 0.746116i | \(-0.731916\pi\) |
0.971076 | + | 0.238769i | \(0.0767438\pi\) | |||||||
\(368\) | 1.93122 | − | 35.6193i | 0.100672 | − | 1.85678i | ||||
\(369\) | 2.39591 | − | 19.7197i | 0.124726 | − | 1.02656i | ||||
\(370\) | 27.2233 | − | 20.6946i | 1.41527 | − | 1.07586i | ||||
\(371\) | 3.21394 | + | 14.6011i | 0.166860 | + | 0.758051i | ||||
\(372\) | 1.10265 | + | 1.05772i | 0.0571699 | + | 0.0548403i | ||||
\(373\) | −27.8641 | − | 3.03041i | −1.44275 | − | 0.156909i | −0.646980 | − | 0.762507i | \(-0.723968\pi\) |
−0.795770 | + | 0.605598i | \(0.792934\pi\) | |||||||
\(374\) | −23.2985 | − | 6.46879i | −1.20474 | − | 0.334493i | ||||
\(375\) | 2.37055 | + | 15.0519i | 0.122415 | + | 0.777278i | ||||
\(376\) | −0.538664 | + | 1.01603i | −0.0277795 | + | 0.0523977i | ||||
\(377\) | −12.8338 | + | 15.1091i | −0.660972 | + | 0.778156i | ||||
\(378\) | 24.9914 | + | 13.8597i | 1.28542 | + | 0.712866i | ||||
\(379\) | 5.12241 | + | 12.8563i | 0.263120 | + | 0.660382i | 0.999876 | − | 0.0157772i | \(-0.00502225\pi\) |
−0.736755 | + | 0.676160i | \(0.763643\pi\) | |||||||
\(380\) | 33.4234 | + | 13.3171i | 1.71458 | + | 0.683153i | ||||
\(381\) | −18.3521 | + | 23.8293i | −0.940205 | + | 1.22081i | ||||
\(382\) | −29.9148 | + | 3.25343i | −1.53057 | + | 0.166460i | ||||
\(383\) | 14.9859 | + | 2.45681i | 0.765741 | + | 0.125537i | 0.531980 | − | 0.846757i | \(-0.321448\pi\) |
0.233762 | + | 0.972294i | \(0.424896\pi\) | |||||||
\(384\) | 4.14377 | + | 0.250808i | 0.211461 | + | 0.0127990i | ||||
\(385\) | −2.70732 | − | 24.8934i | −0.137978 | − | 1.26869i | ||||
\(386\) | 26.2508 | + | 24.8661i | 1.33613 | + | 1.26565i | ||||
\(387\) | −5.36396 | − | 0.948788i | −0.272665 | − | 0.0482296i | ||||
\(388\) | 18.9759 | − | 7.56070i | 0.963357 | − | 0.383837i | ||||
\(389\) | −6.61731 | − | 6.98581i | −0.335511 | − | 0.354195i | 0.536308 | − | 0.844022i | \(-0.319818\pi\) |
−0.871819 | + | 0.489827i | \(0.837060\pi\) | |||||||
\(390\) | 38.9775 | + | 26.7867i | 1.97370 | + | 1.35640i | ||||
\(391\) | 35.9021 | + | 19.0341i | 1.81565 | + | 0.962594i | ||||
\(392\) | −0.0140365 | − | 0.258888i | −0.000708952 | − | 0.0130758i | ||||
\(393\) | 26.0333 | + | 4.43620i | 1.31321 | + | 0.223777i | ||||
\(394\) | 5.75352 | − | 52.9027i | 0.289858 | − | 2.66520i | ||||
\(395\) | 4.08983 | − | 3.47393i | 0.205782 | − | 0.174793i | ||||
\(396\) | −12.7787 | + | 5.71808i | −0.642154 | + | 0.287345i | ||||
\(397\) | −0.374817 | − | 0.493063i | −0.0188115 | − | 0.0247461i | 0.786591 | − | 0.617474i | \(-0.211844\pi\) |
−0.805403 | + | 0.592728i | \(0.798051\pi\) | |||||||
\(398\) | −28.5835 | − | 9.63090i | −1.43276 | − | 0.482754i | ||||
\(399\) | 26.7430 | − | 1.28138i | 1.33882 | − | 0.0641491i | ||||
\(400\) | −27.4848 | − | 16.5371i | −1.37424 | − | 0.826853i | ||||
\(401\) | 14.8142 | + | 21.8493i | 0.739785 | + | 1.09110i | 0.992342 | + | 0.123520i | \(0.0394183\pi\) |
−0.252557 | + | 0.967582i | \(0.581271\pi\) | |||||||
\(402\) | 9.11657 | + | 5.56363i | 0.454693 | + | 0.277488i | ||||
\(403\) | 1.70782 | + | 0.790122i | 0.0850726 | + | 0.0393588i | ||||
\(404\) | 5.49027 | − | 3.30339i | 0.273151 | − | 0.164350i | ||||
\(405\) | 19.8790 | − | 24.8287i | 0.987794 | − | 1.23375i | ||||
\(406\) | −5.94946 | + | 27.0287i | −0.295267 | + | 1.34141i | ||||
\(407\) | 5.23444 | + | 11.3141i | 0.259462 | + | 0.560817i | ||||
\(408\) | −1.20348 | + | 2.23591i | −0.0595810 | + | 0.110694i | ||||
\(409\) | 2.00352 | + | 5.94622i | 0.0990675 | + | 0.294022i | 0.985714 | − | 0.168425i | \(-0.0538681\pi\) |
−0.886647 | + | 0.462447i | \(0.846972\pi\) | |||||||
\(410\) | −12.2786 | − | 44.2236i | −0.606397 | − | 2.18405i | ||||
\(411\) | −1.71199 | − | 6.31993i | −0.0844464 | − | 0.311739i | ||||
\(412\) | 8.81329i | 0.434200i | ||||||||
\(413\) | −18.5295 | − | 10.9803i | −0.911776 | − | 0.540304i | ||||
\(414\) | 47.9893 | − | 9.93225i | 2.35855 | − | 0.488143i | ||||
\(415\) | −3.99160 | + | 0.654390i | −0.195940 | + | 0.0321227i | ||||
\(416\) | −29.6046 | + | 8.21968i | −1.45149 | + | 0.403003i | ||||
\(417\) | 4.15510 | + | 9.13133i | 0.203476 | + | 0.447163i | ||||
\(418\) | −15.3318 | + | 22.6127i | −0.749902 | + | 1.10602i | ||||
\(419\) | 5.65987 | − | 2.61854i | 0.276503 | − | 0.127924i | −0.276737 | − | 0.960946i | \(-0.589253\pi\) |
0.553240 | + | 0.833022i | \(0.313391\pi\) | |||||||
\(420\) | 31.4906 | + | 3.62528i | 1.53658 | + | 0.176896i | ||||
\(421\) | 33.0926 | − | 17.5446i | 1.61283 | − | 0.855071i | 0.615054 | − | 0.788485i | \(-0.289134\pi\) |
0.997781 | − | 0.0665861i | \(-0.0212107\pi\) | |||||||
\(422\) | 13.2498 | + | 22.0214i | 0.644992 | + | 1.07199i | ||||
\(423\) | −11.1812 | − | 2.60900i | −0.543647 | − | 0.126854i | ||||
\(424\) | −0.969538 | + | 1.27541i | −0.0470849 | + | 0.0619392i | ||||
\(425\) | 30.2438 | − | 20.5058i | 1.46704 | − | 0.994676i | ||||
\(426\) | 7.77304 | + | 3.65570i | 0.376605 | + | 0.177119i | ||||
\(427\) | −29.7648 | − | 1.61380i | −1.44042 | − | 0.0780973i | ||||
\(428\) | −7.17907 | + | 21.3067i | −0.347013 | + | 1.02990i | ||||
\(429\) | −12.5914 | + | 11.7779i | −0.607919 | + | 0.568642i | ||||
\(430\) | −12.2913 | + | 2.70553i | −0.592741 | + | 0.130472i | ||||
\(431\) | 5.96317 | + | 7.02039i | 0.287236 | + | 0.338160i | 0.886789 | − | 0.462175i | \(-0.152931\pi\) |
−0.599553 | + | 0.800335i | \(0.704655\pi\) | |||||||
\(432\) | 4.37333 | + | 21.8208i | 0.210412 | + | 1.04986i | ||||
\(433\) | −10.7421 | + | 38.6894i | −0.516231 | + | 1.85929i | −0.00476849 | + | 0.999989i | \(0.501518\pi\) |
−0.511462 | + | 0.859306i | \(0.670896\pi\) | |||||||
\(434\) | 2.62319 | − | 0.142225i | 0.125917 | − | 0.00682704i | ||||
\(435\) | 28.5428 | + | 11.5810i | 1.36852 | + | 0.555264i | ||||
\(436\) | −6.22004 | − | 5.28335i | −0.297886 | − | 0.253026i | ||||
\(437\) | 33.3328 | − | 31.5745i | 1.59453 | − | 1.51042i | ||||
\(438\) | 7.34291 | + | 14.0631i | 0.350858 | + | 0.671963i | ||||
\(439\) | −13.7886 | + | 34.6068i | −0.658095 | + | 1.65169i | 0.0963631 | + | 0.995346i | \(0.469279\pi\) |
−0.754458 | + | 0.656348i | \(0.772100\pi\) | |||||||
\(440\) | 1.84528 | − | 1.94803i | 0.0879701 | − | 0.0928689i | ||||
\(441\) | 2.46325 | − | 0.795616i | 0.117297 | − | 0.0378865i | ||||
\(442\) | 6.09869 | − | 37.2004i | 0.290085 | − | 1.76944i | ||||
\(443\) | 3.06155 | − | 18.6746i | 0.145459 | − | 0.887258i | −0.808758 | − | 0.588141i | \(-0.799860\pi\) |
0.954217 | − | 0.299116i | \(-0.0966919\pi\) | |||||||
\(444\) | −15.4332 | + | 3.29550i | −0.732426 | + | 0.156398i | ||||
\(445\) | −27.9116 | + | 29.4659i | −1.32314 | + | 1.39682i | ||||
\(446\) | 17.3591 | − | 43.5681i | 0.821978 | − | 2.06301i | ||||
\(447\) | −4.35336 | + | 2.27306i | −0.205907 | + | 0.107512i | ||||
\(448\) | −13.7027 | + | 12.9799i | −0.647391 | + | 0.613241i | ||||
\(449\) | 0.293431 | + | 0.249243i | 0.0138479 | + | 0.0117625i | 0.654284 | − | 0.756249i | \(-0.272970\pi\) |
−0.640436 | + | 0.768012i | \(0.721246\pi\) | |||||||
\(450\) | 12.3222 | − | 42.3092i | 0.580873 | − | 1.99447i | ||||
\(451\) | 16.7071 | − | 0.905832i | 0.786706 | − | 0.0426540i | ||||
\(452\) | −2.20879 | + | 7.95534i | −0.103893 | + | 0.374188i | ||||
\(453\) | −23.9557 | − | 0.150624i | −1.12554 | − | 0.00707691i | ||||
\(454\) | −13.8094 | − | 16.2577i | −0.648109 | − | 0.763013i | ||||
\(455\) | 38.1256 | − | 8.39208i | 1.78736 | − | 0.393427i | ||||
\(456\) | 1.95988 | + | 2.09526i | 0.0917800 | + | 0.0981193i | ||||
\(457\) | −5.28931 | + | 15.6981i | −0.247423 | + | 0.734326i | 0.749923 | + | 0.661525i | \(0.230090\pi\) |
−0.997346 | + | 0.0728014i | \(0.976806\pi\) | |||||||
\(458\) | 42.4806 | + | 2.30323i | 1.98499 | + | 0.107623i | ||||
\(459\) | −24.6518 | − | 5.91589i | −1.15065 | − | 0.276130i | ||||
\(460\) | 44.9922 | − | 30.5055i | 2.09777 | − | 1.42233i | ||||
\(461\) | −4.15597 | + | 5.46708i | −0.193563 | + | 0.254627i | −0.882628 | − | 0.470072i | \(-0.844228\pi\) |
0.689066 | + | 0.724699i | \(0.258021\pi\) | |||||||
\(462\) | −7.82889 | + | 22.7614i | −0.364233 | + | 1.05895i | ||||
\(463\) | 1.33356 | + | 2.21639i | 0.0619757 | + | 0.103004i | 0.886296 | − | 0.463120i | \(-0.153270\pi\) |
−0.824320 | + | 0.566124i | \(0.808442\pi\) | |||||||
\(464\) | −19.0420 | + | 10.0954i | −0.884003 | + | 0.468669i | ||||
\(465\) | 0.334396 | − | 2.90469i | 0.0155072 | − | 0.134702i | ||||
\(466\) | −9.06223 | + | 4.19263i | −0.419799 | + | 0.194220i | ||||
\(467\) | −2.74519 | + | 4.04885i | −0.127032 | + | 0.187358i | −0.885887 | − | 0.463902i | \(-0.846449\pi\) |
0.758854 | + | 0.651260i | \(0.225759\pi\) | |||||||
\(468\) | −11.0164 | − | 18.8417i | −0.509231 | − | 0.870957i | ||||
\(469\) | 8.49438 | − | 2.35845i | 0.392234 | − | 0.108903i | ||||
\(470\) | −26.1781 | + | 4.29169i | −1.20751 | + | 0.197961i | ||||
\(471\) | −2.07543 | + | 0.212522i | −0.0956307 | + | 0.00979248i | ||||
\(472\) | −0.388660 | − | 2.27507i | −0.0178895 | − | 0.104719i | ||||
\(473\) | − | 4.58809i | − | 0.210961i | ||||||
\(474\) | −4.97877 | + | 1.34869i | −0.228682 | + | 0.0619474i | ||||
\(475\) | −11.0451 | − | 39.7809i | −0.506784 | − | 1.82527i | ||||
\(476\) | −8.06744 | − | 23.9433i | −0.369771 | − | 1.09744i | ||||
\(477\) | −14.7836 | − | 6.10683i | −0.676894 | − | 0.279612i | ||||
\(478\) | 4.91828 | + | 10.6307i | 0.224957 | + | 0.486236i | ||||
\(479\) | −0.894506 | + | 4.06378i | −0.0408710 | + | 0.185679i | −0.992633 | − | 0.121157i | \(-0.961339\pi\) |
0.951762 | + | 0.306836i | \(0.0992704\pi\) | |||||||
\(480\) | 26.5422 | + | 39.6817i | 1.21148 | + | 1.81121i | ||||
\(481\) | −16.6532 | + | 10.0199i | −0.759320 | + | 0.456868i | ||||
\(482\) | 0.798397 | + | 0.369378i | 0.0363660 | + | 0.0168247i | ||||
\(483\) | 21.0723 | − | 34.5291i | 0.958824 | − | 1.57113i | ||||
\(484\) | 4.78305 | + | 7.05448i | 0.217412 | + | 0.320658i | ||||
\(485\) | −33.4932 | − | 20.1522i | −1.52085 | − | 0.915065i | ||||
\(486\) | −27.4493 | + | 13.4650i | −1.24513 | + | 0.610785i | ||||
\(487\) | 15.6833 | + | 5.28432i | 0.710678 | + | 0.239455i | 0.651344 | − | 0.758783i | \(-0.274206\pi\) |
0.0593345 | + | 0.998238i | \(0.481102\pi\) | |||||||
\(488\) | −1.93306 | − | 2.54290i | −0.0875056 | − | 0.115112i | ||||
\(489\) | −7.85301 | − | 23.8004i | −0.355125 | − | 1.07629i | ||||
\(490\) | 4.55829 | − | 3.87184i | 0.205922 | − | 0.174912i | ||||
\(491\) | −1.72957 | + | 15.9031i | −0.0780543 | + | 0.717697i | 0.888086 | + | 0.459678i | \(0.152035\pi\) |
−0.966140 | + | 0.258019i | \(0.916930\pi\) | |||||||
\(492\) | −3.55801 | + | 20.8797i | −0.160407 | + | 0.941330i | ||||
\(493\) | −1.32921 | − | 24.5159i | −0.0598647 | − | 1.10414i | ||||
\(494\) | −37.6314 | − | 19.9509i | −1.69312 | − | 0.897634i | ||||
\(495\) | 23.5094 | + | 12.8452i | 1.05667 | + | 0.577348i | ||||
\(496\) | 1.40692 | + | 1.48526i | 0.0631724 | + | 0.0666903i | ||||
\(497\) | 6.58668 | − | 2.62437i | 0.295453 | − | 0.117719i | ||||
\(498\) | 3.73985 | + | 1.06373i | 0.167587 | + | 0.0476671i | ||||
\(499\) | −2.94016 | − | 2.78507i | −0.131620 | − | 0.124677i | 0.619058 | − | 0.785345i | \(-0.287514\pi\) |
−0.750678 | + | 0.660668i | \(0.770273\pi\) | |||||||
\(500\) | −1.75660 | − | 16.1517i | −0.0785576 | − | 0.722325i | ||||
\(501\) | 1.21209 | − | 20.0257i | 0.0541522 | − | 0.894683i | ||||
\(502\) | 29.0301 | + | 4.75924i | 1.29568 | + | 0.212415i | ||||
\(503\) | 28.9410 | − | 3.14752i | 1.29042 | − | 0.140341i | 0.562953 | − | 0.826489i | \(-0.309665\pi\) |
0.727462 | + | 0.686148i | \(0.240700\pi\) | |||||||
\(504\) | 2.14932 | + | 1.33030i | 0.0957385 | + | 0.0592563i | ||||
\(505\) | −11.3904 | − | 4.53837i | −0.506868 | − | 0.201955i | ||||
\(506\) | 15.2782 | + | 38.3455i | 0.679200 | + | 1.70466i | ||||
\(507\) | −3.30746 | − | 2.84537i | −0.146889 | − | 0.126367i | ||||
\(508\) | 20.7615 | − | 24.4423i | 0.921141 | − | 1.08445i | ||||
\(509\) | −17.1125 | + | 32.2776i | −0.758497 | + | 1.43068i | 0.139292 | + | 0.990251i | \(0.455517\pi\) |
−0.897789 | + | 0.440426i | \(0.854827\pi\) | |||||||
\(510\) | −57.8609 | + | 9.11261i | −2.56212 | + | 0.403513i | ||||
\(511\) | 12.6179 | + | 3.50334i | 0.558183 | + | 0.154979i | ||||
\(512\) | −30.6492 | − | 3.33330i | −1.35451 | − | 0.147312i | ||||
\(513\) | −15.2280 | + | 24.2612i | −0.672333 | + | 1.07116i | ||||
\(514\) | −3.59974 | − | 16.3538i | −0.158778 | − | 0.721334i | ||||
\(515\) | 13.4262 | − | 10.2063i | 0.591628 | − | 0.449744i | ||||
\(516\) | 5.66434 | + | 1.28421i | 0.249359 | + | 0.0565342i | ||||
\(517\) | 0.523560 | − | 9.65649i | 0.0230261 | − | 0.424692i | ||||
\(518\) | −13.9885 | + | 23.2491i | −0.614620 | + | 1.02151i | ||||
\(519\) | −18.5462 | + | 15.5536i | −0.814086 | + | 0.682726i | ||||
\(520\) | 3.33027 | + | 2.53161i | 0.146042 | + | 0.111018i | ||||
\(521\) | 7.14695 | − | 15.4479i | 0.313113 | − | 0.676783i | −0.685574 | − | 0.728003i | \(-0.740449\pi\) |
0.998687 | + | 0.0512194i | \(0.0163108\pi\) | |||||||
\(522\) | −20.0905 | − | 21.7507i | −0.879336 | − | 0.952000i | ||||
\(523\) | −13.3743 | − | 25.2266i | −0.584817 | − | 1.10308i | −0.982623 | − | 0.185612i | \(-0.940573\pi\) |
0.397806 | − | 0.917470i | \(-0.369772\pi\) | |||||||
\(524\) | −27.4998 | − | 6.05316i | −1.20133 | − | 0.264433i | ||||
\(525\) | −18.5565 | − | 31.2848i | −0.809873 | − | 1.36538i | ||||
\(526\) | 24.7541 | + | 16.7837i | 1.07933 | + | 0.731805i | ||||
\(527\) | −2.20853 | + | 0.744140i | −0.0962050 | + | 0.0324152i | ||||
\(528\) | −17.4567 | + | 6.82853i | −0.759707 | + | 0.297174i | ||||
\(529\) | −7.50160 | − | 45.7577i | −0.326157 | − | 1.98947i | ||||
\(530\) | −36.9563 | −1.60528 | ||||||||
\(531\) | 20.9701 | − | 9.55276i | 0.910025 | − | 0.414554i | ||||
\(532\) | −28.5474 | −1.23769 | ||||||||
\(533\) | 4.22009 | + | 25.7414i | 0.182792 | + | 1.11498i | ||||
\(534\) | 36.3337 | − | 14.2126i | 1.57231 | − | 0.615040i | ||||
\(535\) | 40.7724 | − | 13.7378i | 1.76275 | − | 0.593938i | ||||
\(536\) | 0.781897 | + | 0.530139i | 0.0337728 | + | 0.0228985i | ||||
\(537\) | −19.6529 | − | 33.1333i | −0.848087 | − | 1.42981i | ||||
\(538\) | 28.4708 | + | 6.26690i | 1.22746 | + | 0.270185i | ||||
\(539\) | 1.02126 | + | 1.92631i | 0.0439889 | + | 0.0829719i | ||||
\(540\) | −22.4387 | + | 25.4288i | −0.965606 | + | 1.09428i | ||||
\(541\) | −6.46735 | + | 13.9790i | −0.278053 | + | 0.601002i | −0.995410 | − | 0.0957040i | \(-0.969490\pi\) |
0.717357 | + | 0.696706i | \(0.245352\pi\) | |||||||
\(542\) | 21.4444 | + | 16.3016i | 0.921115 | + | 0.700214i | ||||
\(543\) | 18.8047 | − | 15.7704i | 0.806987 | − | 0.676772i | ||||
\(544\) | 19.6179 | − | 32.6053i | 0.841112 | − | 1.39794i | ||||
\(545\) | −0.845484 | + | 15.5940i | −0.0362165 | + | 0.667975i | ||||
\(546\) | −36.5972 | − | 8.29723i | −1.56621 | − | 0.355089i | ||||
\(547\) | −17.1765 | + | 13.0572i | −0.734413 | + | 0.558286i | −0.904156 | − | 0.427202i | \(-0.859499\pi\) |
0.169743 | + | 0.985488i | \(0.445706\pi\) | |||||||
\(548\) | 1.50081 | + | 6.81826i | 0.0641115 | + | 0.291262i | ||||
\(549\) | 19.6175 | − | 25.1437i | 0.837254 | − | 1.07311i | ||||
\(550\) | 36.8992 | + | 4.01303i | 1.57339 | + | 0.171116i | ||||
\(551\) | −26.7295 | − | 7.42140i | −1.13871 | − | 0.316162i | ||||
\(552\) | 4.28190 | − | 0.674364i | 0.182250 | − | 0.0287028i | ||||
\(553\) | −1.99436 | + | 3.76176i | −0.0848088 | + | 0.159966i | ||||
\(554\) | −28.9779 | + | 34.1155i | −1.23115 | + | 1.44943i | ||||
\(555\) | 22.8929 | + | 19.6945i | 0.971750 | + | 0.835986i | ||||
\(556\) | −3.95932 | − | 9.93715i | −0.167913 | − | 0.421429i | ||||
\(557\) | 24.3716 | + | 9.71054i | 1.03266 | + | 0.411449i | 0.824030 | − | 0.566546i | \(-0.191721\pi\) |
0.208628 | + | 0.977995i | \(0.433100\pi\) | |||||||
\(558\) | −1.47918 | + | 2.38987i | −0.0626189 | + | 0.101171i | ||||
\(559\) | 7.11102 | − | 0.773370i | 0.300764 | − | 0.0327101i | ||||
\(560\) | 41.8834 | + | 6.86643i | 1.76990 | + | 0.290160i | ||||
\(561\) | 1.29008 | − | 21.3143i | 0.0544672 | − | 0.899889i | ||||
\(562\) | 4.52670 | + | 41.6223i | 0.190947 | + | 1.75573i | ||||
\(563\) | −10.7173 | − | 10.1520i | −0.451682 | − | 0.427856i | 0.427738 | − | 0.903903i | \(-0.359311\pi\) |
−0.879420 | + | 0.476047i | \(0.842069\pi\) | |||||||
\(564\) | 11.7751 | + | 3.34923i | 0.495822 | + | 0.141028i | ||||
\(565\) | 14.6771 | − | 5.84788i | 0.617469 | − | 0.246022i | ||||
\(566\) | −24.2427 | − | 25.5927i | −1.01899 | − | 1.07574i | ||||
\(567\) | −7.36090 | + | 24.1393i | −0.309129 | + | 1.01376i | ||||
\(568\) | 0.671273 | + | 0.355886i | 0.0281660 | + | 0.0149327i | ||||
\(569\) | −1.69608 | − | 31.2824i | −0.0711035 | − | 1.31143i | −0.788618 | − | 0.614883i | \(-0.789203\pi\) |
0.717515 | − | 0.696543i | \(-0.245280\pi\) | |||||||
\(570\) | −11.1174 | + | 65.2411i | −0.465657 | + | 2.73265i | ||||
\(571\) | −0.0898877 | + | 0.826504i | −0.00376168 | + | 0.0345881i | −0.995868 | − | 0.0908086i | \(-0.971055\pi\) |
0.992107 | + | 0.125397i | \(0.0400204\pi\) | |||||||
\(572\) | 14.0112 | − | 11.9012i | 0.585839 | − | 0.497616i | ||||
\(573\) | −8.32649 | − | 25.2354i | −0.347844 | − | 1.05422i | ||||
\(574\) | 22.0384 | + | 28.9910i | 0.919865 | + | 1.21006i | ||||
\(575\) | −59.1117 | − | 19.9171i | −2.46513 | − | 0.830599i | ||||
\(576\) | −3.01605 | − | 19.9666i | −0.125669 | − | 0.831942i | ||||
\(577\) | −28.5757 | − | 17.1934i | −1.18962 | − | 0.715771i | −0.223712 | − | 0.974655i | \(-0.571818\pi\) |
−0.965908 | + | 0.258884i | \(0.916645\pi\) | |||||||
\(578\) | 7.48903 | + | 11.0455i | 0.311503 | + | 0.459432i | ||||
\(579\) | −16.6341 | + | 27.2567i | −0.691290 | + | 1.13275i | ||||
\(580\) | −29.8078 | − | 13.7906i | −1.23770 | − | 0.572623i | ||||
\(581\) | 2.75001 | − | 1.65463i | 0.114090 | − | 0.0686456i | ||||
\(582\) | 20.8902 | + | 31.2317i | 0.865926 | + | 1.29459i | ||||
\(583\) | 2.89618 | − | 13.1575i | 0.119948 | − | 0.544928i | ||||
\(584\) | 0.589213 | + | 1.27356i | 0.0243818 | + | 0.0527004i | ||||
\(585\) | −15.9458 | + | 38.6021i | −0.659279 | + | 1.59600i | ||||
\(586\) | −11.0892 | − | 32.9116i | −0.458091 | − | 1.35956i | ||||
\(587\) | 12.0287 | + | 43.3234i | 0.496477 | + | 1.78815i | 0.607489 | + | 0.794328i | \(0.292177\pi\) |
−0.111012 | + | 0.993819i | \(0.535409\pi\) | |||||||
\(588\) | −2.66402 | + | 0.721653i | −0.109863 | + | 0.0297605i | ||||
\(589\) | 2.63321i | 0.108499i | ||||||||
\(590\) | 36.3537 | − | 38.8973i | 1.49666 | − | 1.60137i | ||||
\(591\) | 46.7495 | − | 4.78710i | 1.92302 | − | 0.196915i | ||||
\(592\) | −20.8516 | + | 3.41845i | −0.856996 | + | 0.140497i | ||||
\(593\) | −15.8554 | + | 4.40224i | −0.651105 | + | 0.180778i | −0.577349 | − | 0.816498i | \(-0.695913\pi\) |
−0.0737567 | + | 0.997276i | \(0.523499\pi\) | |||||||
\(594\) | −15.1949 | − | 20.7912i | −0.623456 | − | 0.853074i | ||||
\(595\) | −27.1327 | + | 40.0177i | −1.11233 | + | 1.64057i | ||||
\(596\) | 4.75244 | − | 2.19871i | 0.194668 | − | 0.0900628i | ||||
\(597\) | 3.04635 | − | 26.4617i | 0.124679 | − | 1.08301i | ||||
\(598\) | −56.8558 | + | 30.1430i | −2.32501 | + | 1.23264i | ||||
\(599\) | 6.18311 | + | 10.2764i | 0.252635 | + | 0.419883i | 0.957057 | − | 0.289898i | \(-0.0936215\pi\) |
−0.704422 | + | 0.709781i | \(0.748794\pi\) | |||||||
\(600\) | 1.26777 | − | 3.68586i | 0.0517565 | − | 0.150474i | ||||
\(601\) | 0.716451 | − | 0.942475i | 0.0292246 | − | 0.0384443i | −0.781249 | − | 0.624220i | \(-0.785417\pi\) |
0.810473 | + | 0.585776i | \(0.199210\pi\) | |||||||
\(602\) | 8.26534 | − | 5.60404i | 0.336870 | − | 0.228404i | ||||
\(603\) | −3.12370 | + | 8.89938i | −0.127207 | + | 0.362411i | ||||
\(604\) | 25.5058 | + | 1.38288i | 1.03781 | + | 0.0562687i | ||||
\(605\) | 5.20773 | − | 15.4560i | 0.211725 | − | 0.628376i | ||||
\(606\) | 8.05145 | + | 8.60757i | 0.327068 | + | 0.349659i | ||||
\(607\) | 4.27809 | − | 0.941680i | 0.173643 | − | 0.0382216i | −0.127298 | − | 0.991865i | \(-0.540630\pi\) |
0.300941 | + | 0.953643i | \(0.402699\pi\) | |||||||
\(608\) | −27.8339 | − | 32.7686i | −1.12881 | − | 1.32894i | ||||
\(609\) | −24.4400 | − | 0.153669i | −0.990358 | − | 0.00622697i | ||||
\(610\) | 19.7124 | − | 70.9976i | 0.798131 | − | 2.87461i | ||||
\(611\) | 15.0547 | − | 0.816243i | 0.609048 | − | 0.0330216i | ||||
\(612\) | 25.9530 | + | 7.55857i | 1.04909 | + | 0.305537i | ||||
\(613\) | 19.2013 | + | 16.3098i | 0.775534 | + | 0.658745i | 0.945103 | − | 0.326774i | \(-0.105962\pi\) |
−0.169568 | + | 0.985518i | \(0.554237\pi\) | |||||||
\(614\) | 39.8085 | − | 37.7086i | 1.60654 | − | 1.52180i | ||||
\(615\) | 35.9285 | − | 18.7597i | 1.44878 | − | 0.756463i | ||||
\(616\) | −0.788038 | + | 1.97783i | −0.0317509 | + | 0.0796888i | ||||
\(617\) | 10.1877 | − | 10.7550i | 0.410141 | − | 0.432981i | −0.487895 | − | 0.872902i | \(-0.662235\pi\) |
0.898036 | + | 0.439921i | \(0.144994\pi\) | |||||||
\(618\) | −15.8543 | + | 3.38542i | −0.637753 | + | 0.136182i | ||||
\(619\) | −3.74739 | + | 22.8580i | −0.150620 | + | 0.918742i | 0.798077 | + | 0.602556i | \(0.205851\pi\) |
−0.948697 | + | 0.316187i | \(0.897597\pi\) | |||||||
\(620\) | −0.504368 | + | 3.07651i | −0.0202559 | + | 0.123555i | ||||
\(621\) | 17.4277 | + | 39.6135i | 0.699351 | + | 1.58963i | ||||
\(622\) | 2.65533 | − | 2.80320i | 0.106469 | − | 0.112398i | ||||
\(623\) | 11.9198 | − | 29.9165i | 0.477558 | − | 1.19858i | ||||
\(624\) | −13.5260 | − | 25.9049i | −0.541472 | − | 1.03703i | ||||
\(625\) | 4.61486 | − | 4.37143i | 0.184594 | − | 0.174857i | ||||
\(626\) | −38.5699 | − | 32.7616i | −1.54156 | − | 1.30942i | ||||
\(627\) | −22.3564 | − | 9.07091i | −0.892830 | − | 0.362257i | ||||
\(628\) | 2.22123 | − | 0.120432i | 0.0886368 | − | 0.00480575i | ||||
\(629\) | 6.43951 | − | 23.1930i | 0.256760 | − | 0.924767i | ||||
\(630\) | 5.57483 | + | 58.0412i | 0.222106 | + | 2.31242i | ||||
\(631\) | −17.8274 | − | 20.9880i | −0.709696 | − | 0.835519i | 0.282622 | − | 0.959231i | \(-0.408796\pi\) |
−0.992318 | + | 0.123713i | \(0.960520\pi\) | |||||||
\(632\) | −0.445584 | + | 0.0980804i | −0.0177244 | + | 0.00390143i | ||||
\(633\) | −16.5749 | + | 15.5041i | −0.658794 | + | 0.616231i | ||||
\(634\) | −0.293496 | + | 0.871064i | −0.0116562 | + | 0.0345944i | ||||
\(635\) | −61.2784 | − | 3.32242i | −2.43176 | − | 0.131846i | ||||
\(636\) | 15.4333 | + | 7.25835i | 0.611969 | + | 0.287812i | ||||
\(637\) | −2.81341 | + | 1.90754i | −0.111471 | + | 0.0755795i | ||||
\(638\) | 15.0927 | − | 19.8541i | 0.597526 | − | 0.786032i | ||||
\(639\) | −1.72372 | + | 7.38721i | −0.0681893 | + | 0.292234i | ||||
\(640\) | 4.36689 | + | 7.25783i | 0.172617 | + | 0.286891i | ||||
\(641\) | 26.9370 | − | 14.2811i | 1.06395 | − | 0.564069i | 0.157991 | − | 0.987441i | \(-0.449498\pi\) |
0.905956 | + | 0.423371i | \(0.139153\pi\) | |||||||
\(642\) | −41.0865 | − | 4.72999i | −1.62155 | − | 0.186678i | ||||
\(643\) | 6.39730 | − | 2.95970i | 0.252285 | − | 0.116719i | −0.289671 | − | 0.957126i | \(-0.593546\pi\) |
0.541956 | + | 0.840407i | \(0.317684\pi\) | |||||||
\(644\) | −24.2046 | + | 35.6991i | −0.953796 | + | 1.40674i | ||||
\(645\) | −4.60328 | − | 10.1163i | −0.181254 | − | 0.398327i | ||||
\(646\) | 50.8284 | − | 14.1124i | 1.99982 | − | 0.555247i | ||||
\(647\) | 25.2336 | − | 4.13684i | 0.992036 | − | 0.162636i | 0.356158 | − | 0.934426i | \(-0.384086\pi\) |
0.635878 | + | 0.771790i | \(0.280638\pi\) | |||||||
\(648\) | −2.48215 | + | 1.07343i | −0.0975081 | + | 0.0421684i | ||||
\(649\) | 10.9996 | + | 15.9913i | 0.431771 | + | 0.627712i | ||||
\(650\) | 57.8661i | 2.26969i | ||||||||
\(651\) | 0.606585 | + | 2.23925i | 0.0237740 | + | 0.0877630i | ||||
\(652\) | 7.14913 | + | 25.7488i | 0.279981 | + | 1.00840i | ||||
\(653\) | 0.984127 | + | 2.92078i | 0.0385119 | + | 0.114299i | 0.965184 | − | 0.261571i | \(-0.0842405\pi\) |
−0.926672 | + | 0.375870i | \(0.877344\pi\) | |||||||
\(654\) | 7.11497 | − | 13.2187i | 0.278217 | − | 0.516894i | ||||
\(655\) | 22.6250 | + | 48.9031i | 0.884031 | + | 1.91080i | ||||
\(656\) | −6.09650 | + | 27.6967i | −0.238028 | + | 1.08137i | ||||
\(657\) | −10.7912 | + | 8.93502i | −0.421007 | + | 0.348588i | ||||
\(658\) | 18.0354 | − | 10.8516i | 0.703094 | − | 0.423038i | ||||
\(659\) | −6.29956 | − | 2.91449i | −0.245396 | − | 0.113532i | 0.293336 | − | 0.956009i | \(-0.405234\pi\) |
−0.538732 | + | 0.842477i | \(0.681097\pi\) | |||||||
\(660\) | −24.3827 | − | 14.8802i | −0.949094 | − | 0.579210i | ||||
\(661\) | −3.54891 | − | 5.23424i | −0.138036 | − | 0.203588i | 0.752387 | − | 0.658721i | \(-0.228902\pi\) |
−0.890424 | + | 0.455133i | \(0.849592\pi\) | |||||||
\(662\) | 1.68447 | + | 1.01351i | 0.0654689 | + | 0.0393913i | ||||
\(663\) | 33.2521 | − | 1.59326i | 1.29141 | − | 0.0618771i | ||||
\(664\) | 0.325913 | + | 0.109813i | 0.0126479 | + | 0.00426156i | ||||
\(665\) | 33.0596 | + | 43.4891i | 1.28199 | + | 1.68644i | ||||
\(666\) | −11.8566 | − | 26.4970i | −0.459434 | − | 1.02674i | ||||
\(667\) | −31.9439 | + | 27.1334i | −1.23687 | + | 1.05061i | ||||
\(668\) | −2.31283 | + | 21.2661i | −0.0894859 | + | 0.822809i | ||||
\(669\) | 40.8281 | + | 6.95731i | 1.57851 | + | 0.268985i | ||||
\(670\) | 1.17977 | + | 21.7595i | 0.0455784 | + | 0.840643i | ||||
\(671\) | 23.7324 | + | 12.5821i | 0.916177 | + | 0.485726i | ||||
\(672\) | −31.2182 | − | 21.4542i | −1.20427 | − | 0.827614i | ||||
\(673\) | −34.4657 | − | 36.3850i | −1.32856 | − | 1.40254i | −0.852134 | − | 0.523324i | \(-0.824692\pi\) |
−0.476423 | − | 0.879216i | \(-0.658067\pi\) | |||||||
\(674\) | 45.6391 | − | 18.1843i | 1.75795 | − | 0.700433i | ||||
\(675\) | 38.8120 | + | 2.83941i | 1.49387 | + | 0.109289i | ||||
\(676\) | 3.37733 | + | 3.19918i | 0.129897 | + | 0.123045i | ||||
\(677\) | 4.81215 | + | 44.2470i | 0.184946 | + | 1.70055i | 0.607586 | + | 0.794254i | \(0.292138\pi\) |
−0.422640 | + | 0.906298i | \(0.638897\pi\) | |||||||
\(678\) | −15.1594 | − | 0.917546i | −0.582192 | − | 0.0352381i | ||||
\(679\) | 30.6062 | + | 5.01764i | 1.17456 | + | 0.192559i | ||||
\(680\) | −5.15059 | + | 0.560160i | −0.197516 | + | 0.0214812i | ||||
\(681\) | 11.4940 | − | 14.9244i | 0.440453 | − | 0.571906i | ||||
\(682\) | −2.19918 | − | 0.876233i | −0.0842109 | − | 0.0335527i | ||||
\(683\) | −3.77406 | − | 9.47217i | −0.144410 | − | 0.362443i | 0.838924 | − | 0.544248i | \(-0.183185\pi\) |
−0.983334 | + | 0.181806i | \(0.941806\pi\) | |||||||
\(684\) | 17.4563 | − | 25.0618i | 0.667459 | − | 0.958260i | ||||
\(685\) | 8.64891 | − | 10.1823i | 0.330458 | − | 0.389045i | ||||
\(686\) | 15.8100 | − | 29.8208i | 0.603628 | − | 1.13856i | ||||
\(687\) | 5.84490 | + | 37.1124i | 0.222997 | + | 1.41593i | ||||
\(688\) | 7.49324 | + | 2.08049i | 0.285677 | + | 0.0793178i | ||||
\(689\) | 20.8808 | + | 2.27092i | 0.795495 | + | 0.0865153i | ||||
\(690\) | 72.1593 | + | 69.2189i | 2.74706 | + | 2.63512i | ||||
\(691\) | −5.37851 | − | 24.4348i | −0.204608 | − | 0.929543i | −0.961242 | − | 0.275705i | \(-0.911089\pi\) |
0.756634 | − | 0.653838i | \(-0.226842\pi\) | |||||||
\(692\) | 20.5459 | − | 15.6186i | 0.781037 | − | 0.593729i | ||||
\(693\) | −21.1012 | − | 2.56376i | −0.801568 | − | 0.0973893i | ||||
\(694\) | −1.77213 | + | 32.6850i | −0.0672691 | + | 1.24070i | ||||
\(695\) | −10.5531 | + | 17.5394i | −0.400303 | + | 0.665309i | ||||
\(696\) | −1.68292 | − | 2.00672i | −0.0637908 | − | 0.0760645i | ||||
\(697\) | −25.7187 | − | 19.5509i | −0.974166 | − | 0.740542i | ||||
\(698\) | −3.01704 | + | 6.52122i | −0.114197 | + | 0.246832i | ||||
\(699\) | −5.29210 | − | 7.05325i | −0.200166 | − | 0.266778i | ||||
\(700\) | 18.1667 | + | 34.2661i | 0.686638 | + | 1.29514i | ||||
\(701\) | −31.0515 | − | 6.83496i | −1.17280 | − | 0.258153i | −0.414494 | − | 0.910052i | \(-0.636042\pi\) |
−0.758306 | + | 0.651899i | \(0.773973\pi\) | |||||||
\(702\) | 29.6628 | − | 27.0550i | 1.11955 | − | 1.02113i | ||||
\(703\) | −22.5103 | − | 15.2624i | −0.848993 | − | 0.575632i | ||||
\(704\) | 16.1179 | − | 5.43076i | 0.607467 | − | 0.204680i | ||||
\(705\) | −8.53406 | − | 21.8168i | −0.321411 | − | 0.821669i | ||||
\(706\) | 6.14376 | + | 37.4753i | 0.231223 | + | 1.41040i | ||||
\(707\) | 9.72873 | 0.365887 | ||||||||
\(708\) | −22.8212 | + | 9.10384i | −0.857673 | + | 0.342143i | ||||
\(709\) | −9.07304 | −0.340745 | −0.170373 | − | 0.985380i | \(-0.554497\pi\) | ||||
−0.170373 | + | 0.985380i | \(0.554497\pi\) | |||||||
\(710\) | 2.83544 | + | 17.2954i | 0.106412 | + | 0.649087i | ||||
\(711\) | −2.08293 | − | 4.05111i | −0.0781159 | − | 0.151928i | ||||
\(712\) | 3.27025 | − | 1.10188i | 0.122558 | − | 0.0412945i | ||||
\(713\) | 3.29289 | + | 2.23263i | 0.123320 | + | 0.0836127i | ||||
\(714\) | 39.9729 | − | 23.7099i | 1.49595 | − | 0.887319i | ||||
\(715\) | −34.3562 | − | 7.56236i | −1.28485 | − | 0.282816i | ||||
\(716\) | 19.2401 | + | 36.2907i | 0.719037 | + | 1.35625i | ||||
\(717\) | −8.27400 | + | 6.20804i | −0.308998 | + | 0.231843i | ||||
\(718\) | 2.48799 | − | 5.37771i | 0.0928511 | − | 0.200694i | ||||
\(719\) | −4.26859 | − | 3.24490i | −0.159191 | − | 0.121014i | 0.522546 | − | 0.852611i | \(-0.324982\pi\) |
−0.681738 | + | 0.731597i | \(0.738775\pi\) | |||||||
\(720\) | −31.6391 | + | 32.5707i | −1.17912 | + | 1.21384i | ||||
\(721\) | −6.89895 | + | 11.4661i | −0.256930 | + | 0.427021i | ||||
\(722\) | 1.20931 | − | 22.3045i | 0.0450060 | − | 0.830086i | ||||
\(723\) | −0.171771 | + | 0.757640i | −0.00638822 | + | 0.0281770i | ||||
\(724\) | −20.8323 | + | 15.8363i | −0.774226 | + | 0.588551i | ||||
\(725\) | 8.10178 | + | 36.8068i | 0.300893 | + | 1.36697i | ||||
\(726\) | −10.8531 | + | 11.3141i | −0.402795 | + | 0.419905i | ||||
\(727\) | 6.99812 | + | 0.761091i | 0.259546 | + | 0.0282273i | 0.236967 | − | 0.971518i | \(-0.423847\pi\) |
0.0225790 | + | 0.999745i | \(0.492812\pi\) | |||||||
\(728\) | −3.19824 | − | 0.887986i | −0.118535 | − | 0.0329109i | ||||
\(729\) | −16.6909 | − | 21.2230i | −0.618180 | − | 0.786037i | ||||
\(730\) | −15.1624 | + | 28.5992i | −0.561184 | + | 1.05851i | ||||
\(731\) | −5.73513 | + | 6.75191i | −0.212121 | + | 0.249729i | ||||
\(732\) | −22.1762 | + | 25.7776i | −0.819658 | + | 0.952769i | ||||
\(733\) | −17.1166 | − | 42.9595i | −0.632217 | − | 1.58674i | −0.799387 | − | 0.600817i | \(-0.794842\pi\) |
0.167170 | − | 0.985928i | \(-0.446537\pi\) | |||||||
\(734\) | −20.6673 | − | 8.23462i | −0.762846 | − | 0.303945i | ||||
\(735\) | 4.18446 | + | 3.22266i | 0.154346 | + | 0.118870i | ||||
\(736\) | −64.5776 | + | 7.02324i | −2.38036 | + | 0.258880i | ||||
\(737\) | −7.83946 | − | 1.28521i | −0.288770 | − | 0.0473415i | ||||
\(738\) | −38.9274 | + | 1.61994i | −1.43294 | + | 0.0596308i | ||||
\(739\) | 0.894006 | + | 8.22025i | 0.0328865 | + | 0.302387i | 0.999017 | + | 0.0443321i | \(0.0141160\pi\) |
−0.966130 | + | 0.258055i | \(0.916919\pi\) | |||||||
\(740\) | −23.3765 | − | 22.1434i | −0.859339 | − | 0.814009i | ||||
\(741\) | 10.2905 | − | 36.1789i | 0.378030 | − | 1.32907i | ||||
\(742\) | 27.2404 | − | 10.8536i | 1.00003 | − | 0.398447i | ||||
\(743\) | −4.91795 | − | 5.19182i | −0.180422 | − | 0.190469i | 0.629511 | − | 0.776992i | \(-0.283255\pi\) |
−0.809933 | + | 0.586522i | \(0.800497\pi\) | |||||||
\(744\) | −0.140803 | + | 0.204883i | −0.00516209 | + | 0.00751139i | ||||
\(745\) | −8.85313 | − | 4.69363i | −0.324354 | − | 0.171961i | ||||
\(746\) | 2.97617 | + | 54.8923i | 0.108965 | + | 2.00975i | ||||
\(747\) | −0.228994 | + | 3.42602i | −0.00837846 | + | 0.125352i | ||||
\(748\) | −2.46164 | + | 22.6344i | −0.0900066 | + | 0.827597i | ||||
\(749\) | −26.0187 | + | 22.1005i | −0.950701 | + | 0.807533i | ||||
\(750\) | 28.3806 | − | 9.36426i | 1.03631 | − | 0.341935i | ||||
\(751\) | −17.1770 | − | 22.5960i | −0.626798 | − | 0.824538i | 0.367629 | − | 0.929973i | \(-0.380170\pi\) |
−0.994426 | + | 0.105435i | \(0.966377\pi\) | |||||||
\(752\) | 15.5335 | + | 5.23384i | 0.566448 | + | 0.190859i | ||||
\(753\) | 1.24333 | + | 25.9490i | 0.0453096 | + | 0.945634i | ||||
\(754\) | 33.3157 | + | 20.0454i | 1.21328 | + | 0.730009i | ||||
\(755\) | −27.4305 | − | 40.4570i | −0.998298 | − | 1.47238i | ||||
\(756\) | 9.07140 | − | 25.3334i | 0.329924 | − | 0.921368i | ||||
\(757\) | 31.9694 | + | 14.7906i | 1.16195 | + | 0.537574i | 0.903557 | − | 0.428467i | \(-0.140946\pi\) |
0.258389 | + | 0.966041i | \(0.416808\pi\) | |||||||
\(758\) | 23.2578 | − | 13.9937i | 0.844761 | − | 0.508276i | ||||
\(759\) | −30.2989 | + | 20.2662i | −1.09978 | + | 0.735617i | ||||
\(760\) | −1.25840 | + | 5.71699i | −0.0456471 | + | 0.207377i | ||||
\(761\) | 2.99057 | + | 6.46401i | 0.108408 | + | 0.234320i | 0.954186 | − | 0.299216i | \(-0.0967250\pi\) |
−0.845777 | + | 0.533536i | \(0.820863\pi\) | |||||||
\(762\) | 51.9445 | + | 27.9590i | 1.88175 | + | 1.01285i | ||||
\(763\) | −3.95656 | − | 11.7426i | −0.143237 | − | 0.425112i | ||||
\(764\) | 7.58017 | + | 27.3013i | 0.274241 | + | 0.987726i | ||||
\(765\) | −18.5403 | − | 48.2900i | −0.670327 | − | 1.74593i | ||||
\(766\) | − | 29.7845i | − | 1.07616i | ||||||
\(767\) | −22.9305 | + | 19.7436i | −0.827974 | + | 0.712899i | ||||
\(768\) | −3.20463 | − | 31.2955i | −0.115637 | − | 1.12928i | ||||
\(769\) | 1.63749 | − | 0.268452i | 0.0590493 | − | 0.00968063i | −0.132185 | − | 0.991225i | \(-0.542199\pi\) |
0.191234 | + | 0.981544i | \(0.438751\pi\) | |||||||
\(770\) | −47.3218 | + | 13.1388i | −1.70536 | + | 0.473491i | ||||
\(771\) | 13.4598 | − | 6.12472i | 0.484743 | − | 0.220576i | ||||
\(772\) | 19.1067 | − | 28.1803i | 0.687665 | − | 1.01423i | ||||
\(773\) | −9.79829 | + | 4.53317i | −0.352420 | + | 0.163047i | −0.588109 | − | 0.808782i | \(-0.700127\pi\) |
0.235689 | + | 0.971829i | \(0.424265\pi\) | |||||||
\(774\) | −0.134345 | + | 10.6829i | −0.00482894 | + | 0.383990i | ||||
\(775\) | 3.16070 | − | 1.67570i | 0.113536 | − | 0.0601928i | ||||
\(776\) | 1.71344 | + | 2.84775i | 0.0615088 | + | 0.102228i | ||||
\(777\) | −22.6583 | − | 7.79346i | −0.812863 | − | 0.279589i | ||||
\(778\) | −11.4212 | + | 15.0244i | −0.409471 | + | 0.538650i | ||||
\(779\) | −30.2123 | + | 20.4845i | −1.08247 | + | 0.733933i | ||||
\(780\) | 18.9526 | − | 40.2986i | 0.678613 | − | 1.44292i | ||||
\(781\) | −6.37988 | − | 0.345907i | −0.228290 | − | 0.0123775i | ||||
\(782\) | 25.4482 | − | 75.5277i | 0.910027 | − | 2.70086i | ||||
\(783\) | 15.0796 | − | 21.3619i | 0.538901 | − | 0.763412i | ||||
\(784\) | −3.60913 | + | 0.794429i | −0.128897 | + | 0.0283725i | ||||
\(785\) | −2.75578 | − | 3.24436i | −0.0983582 | − | 0.115796i | ||||
\(786\) | 0.325664 | − | 51.7947i | 0.0116161 | − | 1.84746i | ||||
\(787\) | −1.33765 | + | 4.81778i | −0.0476821 | + | 0.171735i | −0.983557 | − | 0.180596i | \(-0.942197\pi\) |
0.935875 | + | 0.352332i | \(0.114611\pi\) | |||||||
\(788\) | −50.0338 | + | 2.71275i | −1.78238 | + | 0.0966379i | ||||
\(789\) | −9.92994 | + | 24.4736i | −0.353515 | + | 0.871284i | ||||
\(790\) | −8.02149 | − | 6.81352i | −0.285392 | − | 0.242414i | ||||
\(791\) | −9.10100 | + | 8.62092i | −0.323594 | + | 0.306525i | ||||
\(792\) | −1.25446 | − | 1.90123i | −0.0445753 | − | 0.0675572i | ||||
\(793\) | −15.5005 | + | 38.9033i | −0.550438 | + | 1.38150i | ||||
\(794\) | −0.835386 | + | 0.881906i | −0.0296467 | + | 0.0312977i | ||||
\(795\) | −6.81528 | − | 31.9167i | −0.241713 | − | 1.13197i | ||||
\(796\) | −4.59479 | + | 28.0270i | −0.162858 | + | 0.993391i | ||||
\(797\) | 2.06031 | − | 12.5673i | 0.0729798 | − | 0.445157i | −0.924908 | − | 0.380192i | \(-0.875858\pi\) |
0.997888 | − | 0.0649653i | \(-0.0206937\pi\) | |||||||
\(798\) | −10.9658 | − | 51.3541i | −0.388186 | − | 1.81792i | ||||
\(799\) | −12.8411 | + | 13.5562i | −0.454286 | + | 0.479584i | ||||
\(800\) | −21.6202 | + | 54.2627i | −0.764391 | + | 1.91848i | ||||
\(801\) | 18.9749 | + | 28.7579i | 0.670446 | + | 1.01611i | ||||
\(802\) | 37.5884 | − | 35.6056i | 1.32729 | − | 1.25728i | ||||
\(803\) | −8.99390 | − | 7.63949i | −0.317388 | − | 0.269592i | ||||
\(804\) | 3.78096 | − | 9.31868i | 0.133344 | − | 0.328644i | ||||
\(805\) | 82.4145 | − | 4.46838i | 2.90473 | − | 0.157490i | ||||
\(806\) | 0.987368 | − | 3.55618i | 0.0347785 | − | 0.125261i | ||||
\(807\) | −0.161868 | + | 25.7440i | −0.00569802 | + | 0.906233i | ||||
\(808\) | 0.674908 | + | 0.794563i | 0.0237432 | + | 0.0279526i | ||||
\(809\) | 31.6003 | − | 6.95576i | 1.11101 | − | 0.244551i | 0.378696 | − | 0.925521i | \(-0.376372\pi\) |
0.732312 | + | 0.680970i | \(0.238441\pi\) | |||||||
\(810\) | −54.3633 | − | 30.5972i | −1.91013 | − | 1.07508i | ||||
\(811\) | −2.24786 | + | 6.67142i | −0.0789332 | + | 0.234265i | −0.979853 | − | 0.199720i | \(-0.935997\pi\) |
0.900920 | + | 0.433986i | \(0.142893\pi\) | |||||||
\(812\) | 26.0214 | + | 1.41084i | 0.913173 | + | 0.0495108i | ||||
\(813\) | −10.1239 | + | 21.5263i | −0.355062 | + | 0.754961i | ||||
\(814\) | 20.2373 | − | 13.7212i | 0.709317 | − | 0.480929i | ||||
\(815\) | 30.9467 | − | 40.7096i | 1.08401 | − | 1.42600i | ||||
\(816\) | 34.2253 | + | 11.7720i | 1.19813 | + | 0.412102i | ||||
\(817\) | 5.16042 | + | 8.57669i | 0.180540 | + | 0.300060i | ||||
\(818\) | 10.8731 | − | 5.76456i | 0.380170 | − | 0.201553i | ||||
\(819\) | 0.416716 | − | 33.1366i | 0.0145612 | − | 1.15789i | ||||
\(820\) | −39.2222 | + | 18.1461i | −1.36970 | + | 0.633690i | ||||
\(821\) | 0.655352 | − | 0.966573i | 0.0228720 | − | 0.0337336i | −0.816081 | − | 0.577937i | \(-0.803858\pi\) |
0.838953 | + | 0.544204i | \(0.183168\pi\) | |||||||
\(822\) | −11.6889 | + | 5.31890i | −0.407698 | + | 0.185518i | ||||
\(823\) | −26.5014 | + | 7.35807i | −0.923780 | + | 0.256486i | −0.696677 | − | 0.717385i | \(-0.745339\pi\) |
−0.227103 | + | 0.973871i | \(0.572925\pi\) | |||||||
\(824\) | −1.41506 | + | 0.231987i | −0.0492959 | + | 0.00808166i | ||||
\(825\) | 3.33897 | + | 32.6074i | 0.116248 | + | 1.13524i | ||||
\(826\) | −15.3727 | + | 39.3477i | −0.534883 | + | 1.36908i | ||||
\(827\) | − | 14.9144i | − | 0.518626i | −0.965793 | − | 0.259313i | \(-0.916504\pi\) | ||
0.965793 | − | 0.259313i | \(-0.0834962\pi\) | |||||||
\(828\) | −16.5395 | − | 43.0788i | −0.574788 | − | 1.49709i | ||||
\(829\) | −2.51270 | − | 9.04993i | −0.0872697 | − | 0.314317i | 0.907012 | − | 0.421104i | \(-0.138357\pi\) |
−0.994282 | + | 0.106787i | \(0.965944\pi\) | |||||||
\(830\) | 2.53313 | + | 7.51805i | 0.0879261 | + | 0.260955i | ||||
\(831\) | −34.8072 | − | 18.7349i | −1.20745 | − | 0.649906i | ||||
\(832\) | 11.1339 | + | 24.0656i | 0.385999 | + | 0.834323i | ||||
\(833\) | 0.904981 | − | 4.11137i | 0.0313557 | − | 0.142451i | ||||
\(834\) | 16.3551 | − | 10.9396i | 0.566332 | − | 0.378807i | ||||
\(835\) | 35.0751 | − | 21.1040i | 1.21383 | − | 0.730335i | ||||
\(836\) | 23.3473 | + | 10.8016i | 0.807484 | + | 0.373582i | ||||
\(837\) | −2.33675 | − | 0.836745i | −0.0807700 | − | 0.0289221i | ||||
\(838\) | −6.86406 | − | 10.1237i | −0.237115 | − | 0.349719i | ||||
\(839\) | 37.5493 | + | 22.5927i | 1.29635 | + | 0.779986i | 0.985370 | − | 0.170432i | \(-0.0545162\pi\) |
0.310977 | + | 0.950417i | \(0.399344\pi\) | |||||||
\(840\) | 0.246834 | + | 5.15154i | 0.00851657 | + | 0.177745i | ||||
\(841\) | −3.48436 | − | 1.17402i | −0.120150 | − | 0.0404834i | ||||
\(842\) | −44.4579 | − | 58.4833i | −1.53212 | − | 2.01547i | ||||
\(843\) | −35.1116 | + | 11.5852i | −1.20931 | + | 0.399014i | ||||
\(844\) | 18.4439 | − | 15.6664i | 0.634866 | − | 0.539260i | ||||
\(845\) | 0.962481 | − | 8.84987i | 0.0331104 | − | 0.304445i | ||||
\(846\) | −1.50181 | + | 22.4689i | −0.0516334 | + | 0.772496i | ||||
\(847\) | 0.700612 | + | 12.9220i | 0.0240733 | + | 0.444006i | ||||
\(848\) | 20.1754 | + | 10.6963i | 0.692828 | + | 0.367314i | ||||
\(849\) | 17.6320 | − | 25.6564i | 0.605127 | − | 0.880525i | ||||
\(850\) | −49.2852 | − | 52.0298i | −1.69047 | − | 1.78461i | ||||
\(851\) | −38.1719 | + | 15.2091i | −1.30852 | + | 0.521360i | ||||
\(852\) | 2.21278 | − | 7.77962i | 0.0758086 | − | 0.266526i | ||||
\(853\) | 5.72117 | + | 5.41938i | 0.195889 | + | 0.185556i | 0.779357 | − | 0.626580i | \(-0.215546\pi\) |
−0.583468 | + | 0.812136i | \(0.698305\pi\) | |||||||
\(854\) | 6.32109 | + | 58.1215i | 0.216303 | + | 1.98888i | ||||
\(855\) | −58.3945 | + | 2.43005i | −1.99705 | + | 0.0831060i | ||||
\(856\) | −3.60997 | − | 0.591825i | −0.123386 | − | 0.0202281i | ||||
\(857\) | −43.2873 | + | 4.70778i | −1.47867 | + | 0.160815i | −0.811614 | − | 0.584195i | \(-0.801410\pi\) |
−0.667054 | + | 0.745009i | \(0.732445\pi\) | |||||||
\(858\) | 26.7913 | + | 20.6333i | 0.914641 | + | 0.704409i | ||||
\(859\) | 44.4772 | + | 17.7214i | 1.51754 | + | 0.604645i | 0.972322 | − | 0.233647i | \(-0.0750659\pi\) |
0.545222 | + | 0.838291i | \(0.316445\pi\) | |||||||
\(860\) | 4.38638 | + | 11.0090i | 0.149574 | + | 0.375404i | ||||
\(861\) | −20.9734 | + | 24.3794i | −0.714771 | + | 0.830849i | ||||
\(862\) | 11.6957 | − | 13.7693i | 0.398358 | − | 0.468983i | ||||
\(863\) | −11.5205 | + | 21.7301i | −0.392164 | + | 0.739700i | −0.998456 | − | 0.0555421i | \(-0.982311\pi\) |
0.606292 | + | 0.795242i | \(0.292656\pi\) | |||||||
\(864\) | 37.9241 | − | 14.2875i | 1.29020 | − | 0.486072i | ||||
\(865\) | −47.5867 | − | 13.2124i | −1.61800 | − | 0.449234i | ||||
\(866\) | 78.2914 | + | 8.51471i | 2.66045 | + | 0.289341i | ||||
\(867\) | −8.15816 | + | 8.50472i | −0.277066 | + | 0.288836i | ||||
\(868\) | −0.531761 | − | 2.41581i | −0.0180491 | − | 0.0819980i | ||||
\(869\) | 3.05443 | − | 2.32192i | 0.103615 | − | 0.0787657i | ||||
\(870\) | 13.3580 | − | 58.9189i | 0.452878 | − | 1.99754i | ||||
\(871\) | 0.670514 | − | 12.3669i | 0.0227195 | − | 0.419037i | ||||
\(872\) | 0.684566 | − | 1.13776i | 0.0231823 | − | 0.0385293i | ||||
\(873\) | −23.1202 | + | 23.8010i | −0.782502 | + | 0.805542i | ||||
\(874\) | −71.6889 | − | 54.4965i | −2.42491 | − | 1.84337i | ||||
\(875\) | 10.3580 | − | 22.3885i | 0.350165 | − | 0.756869i | ||||
\(876\) | 11.9489 | − | 8.96536i | 0.403717 | − | 0.302911i | ||||
\(877\) | −14.0547 | − | 26.5100i | −0.474595 | − | 0.895180i | −0.999043 | − | 0.0437382i | \(-0.986073\pi\) |
0.524448 | − | 0.851442i | \(-0.324272\pi\) | |||||||
\(878\) | 71.3564 | + | 15.7067i | 2.40816 | + | 0.530076i | ||||
\(879\) | 26.3785 | − | 15.6464i | 0.889724 | − | 0.527739i | ||||
\(880\) | −31.6560 | − | 21.4633i | −1.06712 | − | 0.723528i | ||||
\(881\) | 35.6847 | − | 12.0236i | 1.20225 | − | 0.405084i | 0.354283 | − | 0.935138i | \(-0.384725\pi\) |
0.847964 | + | 0.530054i | \(0.177828\pi\) | |||||||
\(882\) | −2.32151 | − | 4.51513i | −0.0781693 | − | 0.152032i | ||||
\(883\) | 9.39999 | + | 57.3374i | 0.316335 | + | 1.92956i | 0.365600 | + | 0.930772i | \(0.380864\pi\) |
−0.0492648 | + | 0.998786i | \(0.515688\pi\) | |||||||
\(884\) | −35.4957 | −1.19385 | ||||||||
\(885\) | 40.2971 | + | 24.2230i | 1.35457 | + | 0.814249i | ||||
\(886\) | −37.1159 | −1.24693 | ||||||||
\(887\) | −0.566484 | − | 3.45540i | −0.0190207 | − | 0.116021i | 0.975610 | − | 0.219513i | \(-0.0704467\pi\) |
−0.994630 | + | 0.103492i | \(0.966998\pi\) | |||||||
\(888\) | −0.935363 | − | 2.39120i | −0.0313887 | − | 0.0802435i | ||||
\(889\) | 46.1439 | − | 15.5477i | 1.54762 | − | 0.521453i | ||||
\(890\) | 65.8875 | + | 44.6728i | 2.20855 | + | 1.49744i | ||||
\(891\) | 15.1538 | − | 16.9571i | 0.507671 | − | 0.568083i | ||||
\(892\) | −43.1280 | − | 9.49319i | −1.44403 | − | 0.317856i | ||||
\(893\) | 9.88235 | + | 18.6401i | 0.330700 | + | 0.623767i | ||||
\(894\) | 5.78083 | + | 7.70462i | 0.193340 | + | 0.257681i | ||||
\(895\) | 33.0041 | − | 71.3372i | 1.10321 | − | 2.38454i | ||||
\(896\) | −5.35036 | − | 4.06724i | −0.178743 | − | 0.135877i | ||||
\(897\) | −36.5175 | − | 43.5437i | −1.21928 | − | 1.45388i | ||||
\(898\) | 0.389298 | − | 0.647019i | 0.0129911 | − | 0.0215913i | ||||
\(899\) | 0.130136 | − | 2.40021i | 0.00434027 | − | 0.0800516i | ||||
\(900\) | −41.1909 | − | 5.00463i | −1.37303 | − | 0.166821i | ||||
\(901\) | −20.7090 | + | 15.7426i | −0.689916 | + | 0.524461i | ||||
\(902\) | −7.05451 | − | 32.0489i | −0.234889 | − | 1.06711i | ||||
\(903\) | 6.36408 | + | 6.10475i | 0.211783 | + | 0.203153i | ||||
\(904\) | −1.33545 | − | 0.145239i | −0.0444163 | − | 0.00483056i | ||||
\(905\) | 48.2500 | + | 13.3966i | 1.60389 | + | 0.445317i | ||||
\(906\) | 7.30978 | + | 46.4137i | 0.242851 | + | 1.54199i | ||||
\(907\) | 5.95865 | − | 11.2392i | 0.197854 | − | 0.373192i | −0.764656 | − | 0.644439i | \(-0.777091\pi\) |
0.962510 | + | 0.271247i | \(0.0874359\pi\) | |||||||
\(908\) | −13.0031 | + | 15.3084i | −0.431522 | + | 0.508027i | ||||
\(909\) | −5.94897 | + | 8.54085i | −0.197315 | + | 0.283282i | ||||
\(910\) | −28.3403 | − | 71.1288i | −0.939472 | − | 2.35790i | ||||
\(911\) | −40.5608 | − | 16.1609i | −1.34384 | − | 0.535435i | −0.416323 | − | 0.909217i | \(-0.636682\pi\) |
−0.927517 | + | 0.373782i | \(0.878061\pi\) | |||||||
\(912\) | 24.9522 | − | 32.3991i | 0.826249 | − | 1.07284i | ||||
\(913\) | −2.87516 | + | 0.312692i | −0.0951538 | + | 0.0103486i | ||||
\(914\) | 32.0618 | + | 5.25627i | 1.06051 | + | 0.173862i | ||||
\(915\) | 64.9511 | + | 3.93127i | 2.14722 | + | 0.129964i | ||||
\(916\) | −4.33112 | − | 39.8240i | −0.143104 | − | 1.31582i | ||||
\(917\) | −31.0390 | − | 29.4017i | −1.02500 | − | 0.970930i | ||||
\(918\) | −3.62794 | + | 49.5904i | −0.119740 | + | 1.63673i | ||||
\(919\) | 9.67537 | − | 3.85502i | 0.319161 | − | 0.127165i | −0.205056 | − | 0.978750i | \(-0.565738\pi\) |
0.524217 | + | 0.851585i | \(0.324358\pi\) | |||||||
\(920\) | 6.08226 | + | 6.42096i | 0.200526 | + | 0.211693i | ||||
\(921\) | 39.9076 | + | 27.4259i | 1.31500 | + | 0.903714i | ||||
\(922\) | 11.9002 | + | 6.30908i | 0.391912 | + | 0.207779i | ||||
\(923\) | −0.539278 | − | 9.94639i | −0.0177505 | − | 0.327390i | ||||
\(924\) | 22.3425 | + | 3.80728i | 0.735015 | + | 0.125250i | ||||
\(925\) | −3.99487 | + | 36.7322i | −0.131351 | + | 1.20775i | ||||
\(926\) | 3.86665 | − | 3.28436i | 0.127066 | − | 0.107931i | ||||
\(927\) | −5.84752 | − | 13.0680i | −0.192058 | − | 0.429208i | ||||
\(928\) | 23.7516 | + | 31.2447i | 0.779685 | + | 1.02566i | ||||
\(929\) | 2.75605 | + | 0.928621i | 0.0904230 | + | 0.0304671i | 0.364149 | − | 0.931341i | \(-0.381360\pi\) |
−0.273726 | + | 0.961808i | \(0.588256\pi\) | |||||||
\(930\) | −5.72809 | + | 0.274459i | −0.187832 | + | 0.00899985i | ||||
\(931\) | −4.07568 | − | 2.45226i | −0.133575 | − | 0.0803695i | ||||
\(932\) | 5.27630 | + | 7.78196i | 0.172831 | + | 0.254907i | ||||
\(933\) | 2.91061 | + | 1.77628i | 0.0952892 | + | 0.0581528i | ||||
\(934\) | 8.70757 | + | 4.02855i | 0.284920 | + | 0.131818i | ||||
\(935\) | 37.3320 | − | 22.4619i | 1.22089 | − | 0.734584i | ||||
\(936\) | 2.73524 | − | 2.26474i | 0.0894040 | − | 0.0740254i | ||||
\(937\) | 3.56885 | − | 16.2134i | 0.116589 | − | 0.529670i | −0.881732 | − | 0.471751i | \(-0.843622\pi\) |
0.998321 | − | 0.0579195i | \(-0.0184467\pi\) | |||||||
\(938\) | −7.26008 | − | 15.6924i | −0.237050 | − | 0.512376i | ||||
\(939\) | 21.1811 | − | 39.3519i | 0.691219 | − | 1.28420i | ||||
\(940\) | 7.97569 | + | 23.6710i | 0.260138 | + | 0.772063i | ||||
\(941\) | −8.57622 | − | 30.8888i | −0.279577 | − | 1.00694i | −0.961338 | − | 0.275370i | \(-0.911200\pi\) |
0.681761 | − | 0.731575i | \(-0.261214\pi\) | |||||||
\(942\) | 1.06988 | + | 3.94953i | 0.0348586 | + | 0.128683i | ||||
\(943\) | 55.1495i | 1.79591i | ||||||||
\(944\) | −31.1046 | + | 10.7131i | −1.01237 | + | 0.348682i | ||||
\(945\) | −49.0982 | + | 15.5182i | −1.59716 | + | 0.504808i | ||||
\(946\) | −8.88019 | + | 1.45583i | −0.288720 | + | 0.0473332i | ||||
\(947\) | 12.6753 | − | 3.51929i | 0.411893 | − | 0.114362i | −0.0553995 | − | 0.998464i | \(-0.517643\pi\) |
0.467293 | + | 0.884103i | \(0.345229\pi\) | |||||||
\(948\) | 2.01165 | + | 4.42083i | 0.0653353 | + | 0.143582i | ||||
\(949\) | 10.3243 | − | 15.2272i | 0.335142 | − | 0.494297i | ||||
\(950\) | −73.4907 | + | 34.0004i | −2.38435 | + | 1.10312i | ||||
\(951\) | −0.806404 | − | 0.0928355i | −0.0261494 | − | 0.00301040i | ||||
\(952\) | 3.63198 | − | 1.92555i | 0.117713 | − | 0.0624075i | ||||
\(953\) | 13.8601 | + | 23.0357i | 0.448973 | + | 0.746198i | 0.995850 | − | 0.0910147i | \(-0.0290110\pi\) |
−0.546877 | + | 0.837213i | \(0.684183\pi\) | |||||||
\(954\) | −7.12876 | + | 30.5512i | −0.230802 | + | 0.989131i | ||||
\(955\) | 32.8125 | − | 43.1641i | 1.06179 | − | 1.39676i | ||||
\(956\) | 9.12884 | − | 6.18950i | 0.295248 | − | 0.200183i | ||||
\(957\) | 19.9300 | + | 9.37316i | 0.644244 | + | 0.302991i | ||||
\(958\) | 8.14923 | + | 0.441839i | 0.263290 | + | 0.0142752i | ||||
\(959\) | −3.38469 | + | 10.0454i | −0.109297 | + | 0.324383i | ||||
\(960\) | 30.0896 | − | 28.1456i | 0.971138 | − | 0.908394i | ||||
\(961\) | 30.0524 | − | 6.61503i | 0.969432 | − | 0.213388i | ||||
\(962\) | 24.6775 | + | 29.0527i | 0.795636 | + | 0.936695i | ||||
\(963\) | −3.49197 | − | 36.3559i | −0.112527 | − | 1.17155i | ||||
\(964\) | 0.221603 | − | 0.798142i | 0.00713736 | − | 0.0257064i | ||||
\(965\) | −65.0565 | + | 3.52726i | −2.09424 | + | 0.113547i | ||||
\(966\) | −73.5171 | − | 29.8289i | −2.36537 | − | 0.959728i | ||||
\(967\) | 15.6803 | + | 13.3190i | 0.504245 | + | 0.428309i | 0.863062 | − | 0.505099i | \(-0.168544\pi\) |
−0.358817 | + | 0.933408i | \(0.616820\pi\) | |||||||
\(968\) | −1.00676 | + | 0.953657i | −0.0323586 | + | 0.0306517i | ||||
\(969\) | 21.5615 | + | 41.2945i | 0.692654 | + | 1.32657i | ||||
\(970\) | −28.3767 | + | 71.2202i | −0.911121 | + | 2.28674i | ||||
\(971\) | −25.4664 | + | 26.8845i | −0.817255 | + | 0.862765i | −0.992561 | − | 0.121749i | \(-0.961150\pi\) |
0.175306 | + | 0.984514i | \(0.443908\pi\) | |||||||
\(972\) | 16.6932 | + | 23.4548i | 0.535435 | + | 0.752313i | ||||
\(973\) | 2.62759 | − | 16.0276i | 0.0842367 | − | 0.513821i | ||||
\(974\) | 5.25131 | − | 32.0316i | 0.168263 | − | 1.02636i | ||||
\(975\) | −49.9750 | + | 10.6713i | −1.60048 | + | 0.341756i | ||||
\(976\) | −31.3105 | + | 33.0541i | −1.00223 | + | 1.05804i | ||||
\(977\) | 6.93235 | − | 17.3989i | 0.221786 | − | 0.556640i | −0.775412 | − | 0.631456i | \(-0.782458\pi\) |
0.997197 | + | 0.0748160i | \(0.0238370\pi\) | |||||||
\(978\) | −43.5736 | + | 22.7514i | −1.39333 | + | 0.727511i | ||||
\(979\) | −21.0682 | + | 19.9569i | −0.673344 | + | 0.637825i | ||||
\(980\) | −4.29211 | − | 3.64575i | −0.137107 | − | 0.116459i | ||||
\(981\) | 12.7282 | + | 3.70699i | 0.406381 | + | 0.118355i | ||||
\(982\) | 31.3291 | − | 1.69861i | 0.999751 | − | 0.0542049i | ||||
\(983\) | −3.06566 | + | 11.0415i | −0.0977794 | + | 0.352170i | −0.996214 | − | 0.0869384i | \(-0.972292\pi\) |
0.898434 | + | 0.439108i | \(0.144705\pi\) | |||||||
\(984\) | −3.44609 | − | 0.0216676i | −0.109857 | − | 0.000690739i | ||||
\(985\) | 62.0747 | + | 73.0800i | 1.97786 | + | 2.32852i | ||||
\(986\) | −47.0284 | + | 10.3517i | −1.49769 | + | 0.329666i | ||||
\(987\) | 12.6978 | + | 13.5748i | 0.404174 | + | 0.432091i | ||||
\(988\) | −12.8059 | + | 38.0064i | −0.407409 | + | 1.20915i | ||||
\(989\) | 15.1007 | + | 0.818738i | 0.480175 | + | 0.0260343i | ||||
\(990\) | 17.4020 | − | 49.5781i | 0.553072 | − | 1.57569i | ||||
\(991\) | −19.9213 | + | 13.5070i | −0.632822 | + | 0.429064i | −0.834973 | − | 0.550290i | \(-0.814517\pi\) |
0.202152 | + | 0.979354i | \(0.435207\pi\) | |||||||
\(992\) | 2.25456 | − | 2.96583i | 0.0715824 | − | 0.0941651i | ||||
\(993\) | −0.564662 | + | 1.64167i | −0.0179190 | + | 0.0520969i | ||||
\(994\) | −7.16944 | − | 11.9157i | −0.227401 | − | 0.377943i | ||||
\(995\) | 48.0174 | − | 25.4572i | 1.52225 | − | 0.807048i | ||||
\(996\) | 0.418716 | − | 3.63712i | 0.0132675 | − | 0.115247i | ||||
\(997\) | −25.2278 | + | 11.6716i | −0.798974 | + | 0.369645i | −0.776512 | − | 0.630103i | \(-0.783013\pi\) |
−0.0224624 | + | 0.999748i | \(0.507151\pi\) | |||||||
\(998\) | −4.45753 | + | 6.57437i | −0.141101 | + | 0.208108i | ||||
\(999\) | 20.6971 | − | 15.1262i | 0.654828 | − | 0.478571i |
(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 | 177.2.f.a.155.3 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.155.16 | yes | 504 | |
59.8 | odd | 58 | inner | 177.2.f.a.8.16 | yes | 504 | |
177.8 | even | 58 | inner | 177.2.f.a.8.3 | ✓ | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.8.3 | ✓ | 504 | 177.8 | even | 58 | inner | |
177.2.f.a.8.16 | yes | 504 | 59.8 | odd | 58 | inner | |
177.2.f.a.155.3 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.155.16 | yes | 504 | 3.2 | odd | 2 | inner |