Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.14 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.14 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33541 | + | 1.06496i | −0.944279 | + | 0.753037i | −0.969103 | − | 0.246655i | \(-0.920669\pi\) |
0.0248247 | + | 0.999692i | \(0.492097\pi\) | |||||||
\(3\) | 1.50168 | − | 0.863111i | 0.866995 | − | 0.498317i | ||||
\(4\) | 0.204153 | − | 0.894452i | 0.102076 | − | 0.447226i | ||||
\(5\) | 0.337281 | + | 0.229955i | 0.150837 | + | 0.102839i | 0.636387 | − | 0.771370i | \(-0.280428\pi\) |
−0.485550 | + | 0.874209i | \(0.661381\pi\) | |||||||
\(6\) | −1.08619 | + | 2.75183i | −0.443433 | + | 1.12343i | ||||
\(7\) | −2.64519 | + | 0.0547315i | −0.999786 | + | 0.0206866i | ||||
\(8\) | −0.802272 | − | 1.66593i | −0.283646 | − | 0.588997i | ||||
\(9\) | 1.51008 | − | 2.59223i | 0.503360 | − | 0.864077i | ||||
\(10\) | −0.695301 | + | 0.0521056i | −0.219873 | + | 0.0164772i | ||||
\(11\) | −0.812681 | − | 5.39178i | −0.245032 | − | 1.62568i | −0.685610 | − | 0.727969i | \(-0.740464\pi\) |
0.440577 | − | 0.897715i | \(-0.354774\pi\) | |||||||
\(12\) | −0.465440 | − | 1.51939i | −0.134361 | − | 0.438609i | ||||
\(13\) | −0.625877 | − | 4.15242i | −0.173587 | − | 1.15168i | −0.890658 | − | 0.454675i | \(-0.849756\pi\) |
0.717070 | − | 0.697001i | \(-0.245483\pi\) | |||||||
\(14\) | 3.47413 | − | 2.89009i | 0.928499 | − | 0.772410i | ||||
\(15\) | 0.704965 | + | 0.0542067i | 0.182021 | + | 0.0139961i | ||||
\(16\) | 4.49871 | + | 2.16646i | 1.12468 | + | 0.541616i | ||||
\(17\) | −2.55461 | + | 2.37033i | −0.619585 | + | 0.574891i | −0.926242 | − | 0.376929i | \(-0.876980\pi\) |
0.306657 | + | 0.951820i | \(0.400789\pi\) | |||||||
\(18\) | 0.744033 | + | 5.06986i | 0.175370 | + | 1.19498i | ||||
\(19\) | 5.35673 | + | 3.09271i | 1.22892 | + | 0.709516i | 0.966804 | − | 0.255521i | \(-0.0822470\pi\) |
0.262114 | + | 0.965037i | \(0.415580\pi\) | |||||||
\(20\) | 0.274540 | − | 0.254736i | 0.0613891 | − | 0.0569608i | ||||
\(21\) | −3.92498 | + | 2.36528i | −0.856501 | + | 0.516146i | ||||
\(22\) | 6.82727 | + | 6.33478i | 1.45558 | + | 1.35058i | ||||
\(23\) | −1.61560 | − | 5.23765i | −0.336876 | − | 1.09213i | −0.952616 | − | 0.304176i | \(-0.901619\pi\) |
0.615740 | − | 0.787949i | \(-0.288857\pi\) | |||||||
\(24\) | −2.64264 | − | 1.80925i | −0.539427 | − | 0.369311i | ||||
\(25\) | −1.76583 | − | 4.49925i | −0.353165 | − | 0.899850i | ||||
\(26\) | 5.25795 | + | 4.87867i | 1.03117 | + | 0.956785i | ||||
\(27\) | 0.0302713 | − | 5.19606i | 0.00582571 | − | 0.999983i | ||||
\(28\) | −0.491068 | + | 2.37717i | −0.0928031 | + | 0.449242i | ||||
\(29\) | −2.64071 | − | 2.84600i | −0.490367 | − | 0.528490i | 0.438585 | − | 0.898690i | \(-0.355480\pi\) |
−0.928952 | + | 0.370200i | \(0.879289\pi\) | |||||||
\(30\) | −0.999146 | + | 0.678368i | −0.182418 | + | 0.123852i | ||||
\(31\) | 8.33578i | 1.49715i | 0.663050 | + | 0.748575i | \(0.269262\pi\) | ||||
−0.663050 | + | 0.748575i | \(0.730738\pi\) | |||||||
\(32\) | −4.70943 | + | 1.07490i | −0.832518 | + | 0.190017i | ||||
\(33\) | −5.87409 | − | 7.39529i | −1.02255 | − | 1.28736i | ||||
\(34\) | 0.887160 | − | 5.88592i | 0.152147 | − | 1.00943i | ||||
\(35\) | −0.904757 | − | 0.589812i | −0.152932 | − | 0.0996965i | ||||
\(36\) | −2.01034 | − | 1.87991i | −0.335057 | − | 0.313318i | ||||
\(37\) | 7.68811 | + | 2.37147i | 1.26392 | + | 0.389867i | 0.853050 | − | 0.521829i | \(-0.174750\pi\) |
0.410867 | + | 0.911695i | \(0.365226\pi\) | |||||||
\(38\) | −10.4470 | + | 1.57464i | −1.69473 | + | 0.255440i | ||||
\(39\) | −4.52387 | − | 5.69541i | −0.724399 | − | 0.911995i | ||||
\(40\) | 0.112498 | − | 0.746374i | 0.0177875 | − | 0.118012i | ||||
\(41\) | 0.165105 | − | 2.20317i | 0.0257851 | − | 0.344078i | −0.969359 | − | 0.245648i | \(-0.920999\pi\) |
0.995144 | − | 0.0984293i | \(-0.0313818\pi\) | |||||||
\(42\) | 2.72255 | − | 7.33855i | 0.420098 | − | 1.13236i | ||||
\(43\) | 0.0259394 | + | 0.346138i | 0.00395572 | + | 0.0527855i | 0.998832 | − | 0.0483112i | \(-0.0153839\pi\) |
−0.994877 | + | 0.101097i | \(0.967765\pi\) | |||||||
\(44\) | −4.98861 | − | 0.373844i | −0.752061 | − | 0.0563591i | ||||
\(45\) | 1.10542 | − | 0.527062i | 0.164786 | − | 0.0785697i | ||||
\(46\) | 7.73535 | + | 5.27387i | 1.14052 | + | 0.777590i | ||||
\(47\) | −2.08232 | − | 2.61115i | −0.303738 | − | 0.380876i | 0.606414 | − | 0.795149i | \(-0.292607\pi\) |
−0.910153 | + | 0.414273i | \(0.864036\pi\) | |||||||
\(48\) | 8.62551 | − | 0.629551i | 1.24498 | − | 0.0908678i | ||||
\(49\) | 6.99401 | − | 0.289550i | 0.999144 | − | 0.0413643i | ||||
\(50\) | 7.14961 | + | 4.12783i | 1.01111 | + | 0.583763i | ||||
\(51\) | −1.79035 | + | 5.76440i | −0.250699 | + | 0.807177i | ||||
\(52\) | −3.84192 | − | 0.287912i | −0.532779 | − | 0.0399262i | ||||
\(53\) | 0.138298 | + | 0.448352i | 0.0189967 | + | 0.0615858i | 0.964575 | − | 0.263809i | \(-0.0849789\pi\) |
−0.945578 | + | 0.325395i | \(0.894503\pi\) | |||||||
\(54\) | 5.49315 | + | 6.97112i | 0.747523 | + | 0.948650i | ||||
\(55\) | 0.965763 | − | 2.00543i | 0.130223 | − | 0.270412i | ||||
\(56\) | 2.21334 | + | 4.36279i | 0.295769 | + | 0.583003i | ||||
\(57\) | 10.7134 | + | 0.0208046i | 1.41903 | + | 0.00275564i | ||||
\(58\) | 6.55730 | + | 0.988354i | 0.861016 | + | 0.129777i | ||||
\(59\) | 4.12753 | + | 1.98771i | 0.537359 | + | 0.258778i | 0.682821 | − | 0.730585i | \(-0.260753\pi\) |
−0.145463 | + | 0.989364i | \(0.546467\pi\) | |||||||
\(60\) | 0.192406 | − | 0.619491i | 0.0248395 | − | 0.0799759i | ||||
\(61\) | 1.38826 | − | 0.316861i | 0.177748 | − | 0.0405699i | −0.132720 | − | 0.991154i | \(-0.542371\pi\) |
0.310469 | + | 0.950584i | \(0.399514\pi\) | |||||||
\(62\) | −8.87724 | − | 11.1317i | −1.12741 | − | 1.41373i | ||||
\(63\) | −3.85256 | + | 6.93958i | −0.485377 | + | 0.874305i | ||||
\(64\) | −1.08208 | + | 1.35689i | −0.135261 | + | 0.169611i | ||||
\(65\) | 0.743772 | − | 1.54446i | 0.0922536 | − | 0.191567i | ||||
\(66\) | 15.7200 | + | 3.62012i | 1.93500 | + | 0.445606i | ||||
\(67\) | −13.3970 | −1.63670 | −0.818350 | − | 0.574721i | \(-0.805111\pi\) | ||||
−0.818350 | + | 0.574721i | \(0.805111\pi\) | |||||||
\(68\) | 1.59862 | + | 2.76889i | 0.193861 | + | 0.335777i | ||||
\(69\) | −6.94678 | − | 6.47082i | −0.836294 | − | 0.778996i | ||||
\(70\) | 1.83635 | − | 0.175884i | 0.219486 | − | 0.0210221i | ||||
\(71\) | 12.6477 | + | 2.88674i | 1.50100 | + | 0.342593i | 0.892532 | − | 0.450985i | \(-0.148927\pi\) |
0.608468 | + | 0.793578i | \(0.291784\pi\) | |||||||
\(72\) | −5.52998 | − | 0.436019i | −0.651714 | − | 0.0513854i | ||||
\(73\) | 1.70277 | − | 11.2971i | 0.199294 | − | 1.32223i | −0.635685 | − | 0.771949i | \(-0.719282\pi\) |
0.834979 | − | 0.550282i | \(-0.185480\pi\) | |||||||
\(74\) | −12.7923 | + | 5.02061i | −1.48707 | + | 0.583634i | ||||
\(75\) | −6.53505 | − | 5.23233i | −0.754603 | − | 0.604177i | ||||
\(76\) | 3.85987 | − | 4.15995i | 0.442758 | − | 0.477179i | ||||
\(77\) | 2.44479 | + | 14.2178i | 0.278610 | + | 1.62027i | ||||
\(78\) | 12.1066 | + | 2.78799i | 1.37080 | + | 0.315678i | ||||
\(79\) | −8.34107 | −0.938444 | −0.469222 | − | 0.883080i | \(-0.655466\pi\) | ||||
−0.469222 | + | 0.883080i | \(0.655466\pi\) | |||||||
\(80\) | 1.01914 | + | 1.76520i | 0.113943 | + | 0.197356i | ||||
\(81\) | −4.43932 | − | 7.82895i | −0.493258 | − | 0.869883i | ||||
\(82\) | 2.12580 | + | 3.11797i | 0.234755 | + | 0.344322i | ||||
\(83\) | 5.64766 | + | 0.851248i | 0.619911 | + | 0.0934366i | 0.451486 | − | 0.892278i | \(-0.350894\pi\) |
0.168425 | + | 0.985715i | \(0.446132\pi\) | |||||||
\(84\) | 1.31433 | + | 3.99359i | 0.143405 | + | 0.435736i | ||||
\(85\) | −1.40669 | + | 0.212025i | −0.152577 | + | 0.0229973i | ||||
\(86\) | −0.403261 | − | 0.434612i | −0.0434847 | − | 0.0468654i | ||||
\(87\) | −6.42191 | − | 1.99456i | −0.688501 | − | 0.213840i | ||||
\(88\) | −8.33037 | + | 5.67955i | −0.888020 | + | 0.605442i | ||||
\(89\) | −4.15976 | − | 10.5989i | −0.440934 | − | 1.12348i | −0.962743 | − | 0.270419i | \(-0.912838\pi\) |
0.521809 | − | 0.853062i | \(-0.325257\pi\) | |||||||
\(90\) | −0.914890 | + | 1.88106i | −0.0964378 | + | 0.198282i | ||||
\(91\) | 1.88283 | + | 10.9497i | 0.197374 | + | 1.14784i | ||||
\(92\) | −5.01466 | + | 0.375797i | −0.522814 | + | 0.0391795i | ||||
\(93\) | 7.19470 | + | 12.5177i | 0.746056 | + | 1.29802i | ||||
\(94\) | 5.56152 | + | 1.26938i | 0.573627 | + | 0.130927i | ||||
\(95\) | 1.09554 | + | 2.27492i | 0.112400 | + | 0.233402i | ||||
\(96\) | −6.14430 | + | 5.67892i | −0.627100 | + | 0.579602i | ||||
\(97\) | 12.7187 | − | 7.34314i | 1.29139 | − | 0.745583i | 0.312487 | − | 0.949922i | \(-0.398838\pi\) |
0.978900 | + | 0.204339i | \(0.0655044\pi\) | |||||||
\(98\) | −9.03152 | + | 7.83498i | −0.912322 | + | 0.791452i | ||||
\(99\) | −15.2040 | − | 6.03536i | −1.52806 | − | 0.606577i | ||||
\(100\) | −4.38486 | + | 0.660912i | −0.438486 | + | 0.0660912i | ||||
\(101\) | −0.727353 | + | 9.70585i | −0.0723743 | + | 0.965768i | 0.836303 | + | 0.548268i | \(0.184713\pi\) |
−0.908677 | + | 0.417500i | \(0.862906\pi\) | |||||||
\(102\) | −3.74797 | − | 9.60448i | −0.371105 | − | 0.950986i | ||||
\(103\) | 0.0403603 | − | 0.0591977i | 0.00397682 | − | 0.00583292i | −0.824245 | − | 0.566233i | \(-0.808400\pi\) |
0.828222 | + | 0.560400i | \(0.189353\pi\) | |||||||
\(104\) | −6.41554 | + | 4.37404i | −0.629096 | + | 0.428910i | ||||
\(105\) | −1.86773 | − | 0.104803i | −0.182272 | − | 0.0102277i | ||||
\(106\) | −0.662159 | − | 0.451453i | −0.0643146 | − | 0.0438490i | ||||
\(107\) | −14.9320 | + | 5.86036i | −1.44353 | + | 0.566543i | −0.952483 | − | 0.304592i | \(-0.901480\pi\) |
−0.491045 | + | 0.871134i | \(0.663385\pi\) | |||||||
\(108\) | −4.64145 | − | 1.08787i | −0.446624 | − | 0.104680i | ||||
\(109\) | −1.76758 | + | 4.50371i | −0.169303 | + | 0.431377i | −0.990192 | − | 0.139710i | \(-0.955383\pi\) |
0.820889 | + | 0.571087i | \(0.193478\pi\) | |||||||
\(110\) | 0.846000 | + | 3.70657i | 0.0806629 | + | 0.353407i | ||||
\(111\) | 13.5919 | − | 3.07451i | 1.29009 | − | 0.291819i | ||||
\(112\) | −12.0185 | − | 5.48447i | −1.13564 | − | 0.518234i | ||||
\(113\) | −1.48153 | + | 0.581456i | −0.139370 | + | 0.0546988i | −0.434001 | − | 0.900912i | \(-0.642899\pi\) |
0.294631 | + | 0.955611i | \(0.404803\pi\) | |||||||
\(114\) | −14.3290 | + | 11.3815i | −1.34203 | + | 1.06598i | ||||
\(115\) | 0.659509 | − | 2.13808i | 0.0614995 | − | 0.199377i | ||||
\(116\) | −3.08472 | + | 1.78097i | −0.286409 | + | 0.165359i | ||||
\(117\) | −11.7092 | − | 4.64807i | −1.08251 | − | 0.429714i | ||||
\(118\) | −7.62878 | + | 1.74122i | −0.702286 | + | 0.160292i | ||||
\(119\) | 6.62769 | − | 6.40979i | 0.607560 | − | 0.587585i | ||||
\(120\) | −0.475268 | − | 1.21791i | −0.0433859 | − | 0.111180i | ||||
\(121\) | −17.8996 | + | 5.52129i | −1.62723 | + | 0.501935i | ||||
\(122\) | −1.51645 | + | 1.90157i | −0.137293 | + | 0.172160i | ||||
\(123\) | −1.65365 | − | 3.45096i | −0.149104 | − | 0.311163i | ||||
\(124\) | 7.45596 | + | 1.70177i | 0.669565 | + | 0.152824i | ||||
\(125\) | 0.893222 | − | 3.91346i | 0.0798922 | − | 0.350031i | ||||
\(126\) | −2.24559 | − | 13.3700i | −0.200053 | − | 1.19109i | ||||
\(127\) | 4.56427 | + | 19.9974i | 0.405013 | + | 1.77448i | 0.606598 | + | 0.795008i | \(0.292534\pi\) |
−0.201585 | + | 0.979471i | \(0.564609\pi\) | |||||||
\(128\) | − | 12.6255i | − | 1.11594i | ||||||
\(129\) | 0.337708 | + | 0.497399i | 0.0297335 | + | 0.0437935i | ||||
\(130\) | 0.651538 | + | 2.85457i | 0.0571436 | + | 0.250363i | ||||
\(131\) | 0.268200 | + | 3.57887i | 0.0234327 | + | 0.312688i | 0.996588 | + | 0.0825379i | \(0.0263026\pi\) |
−0.973155 | + | 0.230150i | \(0.926078\pi\) | |||||||
\(132\) | −7.81395 | + | 3.74433i | −0.680117 | + | 0.325902i | ||||
\(133\) | −14.3388 | − | 7.88760i | −1.24333 | − | 0.683942i | ||||
\(134\) | 17.8905 | − | 14.2672i | 1.54550 | − | 1.23250i | ||||
\(135\) | 1.20507 | − | 1.74557i | 0.103716 | − | 0.150235i | ||||
\(136\) | 5.99832 | + | 2.35417i | 0.514351 | + | 0.201868i | ||||
\(137\) | 9.63134 | + | 14.1266i | 0.822861 | + | 1.20692i | 0.975797 | + | 0.218679i | \(0.0701747\pi\) |
−0.152936 | + | 0.988236i | \(0.548873\pi\) | |||||||
\(138\) | 16.1680 | + | 1.24320i | 1.37631 | + | 0.105828i | ||||
\(139\) | −2.26997 | − | 0.170111i | −0.192536 | − | 0.0144286i | −0.0218872 | − | 0.999760i | \(-0.506967\pi\) |
−0.170649 | + | 0.985332i | \(0.554587\pi\) | |||||||
\(140\) | −0.712268 | + | 0.688850i | −0.0601976 | + | 0.0582185i | ||||
\(141\) | −5.38070 | − | 2.12384i | −0.453136 | − | 0.178859i | ||||
\(142\) | −19.9641 | + | 9.61419i | −1.67535 | + | 0.806805i | ||||
\(143\) | −21.8803 | + | 6.74919i | −1.82973 | + | 0.564396i | ||||
\(144\) | 12.4094 | − | 8.39015i | 1.03411 | − | 0.699179i | ||||
\(145\) | −0.236209 | − | 1.56715i | −0.0196161 | − | 0.130144i | ||||
\(146\) | 9.75705 | + | 16.8997i | 0.807500 | + | 1.39863i | ||||
\(147\) | 10.2528 | − | 6.47142i | 0.845640 | − | 0.533753i | ||||
\(148\) | 3.69071 | − | 6.39250i | 0.303375 | − | 0.525461i | ||||
\(149\) | 1.80228 | + | 0.707341i | 0.147648 | + | 0.0579476i | 0.438014 | − | 0.898968i | \(-0.355682\pi\) |
−0.290366 | + | 0.956916i | \(0.593777\pi\) | |||||||
\(150\) | 14.2992 | + | 0.0277678i | 1.16752 | + | 0.00226723i | ||||
\(151\) | −3.66724 | − | 3.40270i | −0.298435 | − | 0.276908i | 0.516714 | − | 0.856158i | \(-0.327155\pi\) |
−0.815150 | + | 0.579250i | \(0.803345\pi\) | |||||||
\(152\) | 0.854698 | − | 11.4051i | 0.0693251 | − | 0.925080i | ||||
\(153\) | 2.28679 | + | 10.2015i | 0.184876 | + | 0.824746i | ||||
\(154\) | −18.4061 | − | 16.3830i | −1.48321 | − | 1.32018i | ||||
\(155\) | −1.91685 | + | 2.81150i | −0.153965 | + | 0.225825i | ||||
\(156\) | −6.01783 | + | 2.88365i | −0.481812 | + | 0.230877i | ||||
\(157\) | −2.78111 | + | 5.77504i | −0.221957 | + | 0.460898i | −0.981977 | − | 0.189002i | \(-0.939475\pi\) |
0.760020 | + | 0.649900i | \(0.225189\pi\) | |||||||
\(158\) | 11.1388 | − | 8.88287i | 0.886153 | − | 0.706683i | ||||
\(159\) | 0.594656 | + | 0.553913i | 0.0471593 | + | 0.0439282i | ||||
\(160\) | −1.83558 | − | 0.720413i | −0.145115 | − | 0.0569536i | ||||
\(161\) | 4.56023 | + | 13.7661i | 0.359396 | + | 1.08492i | ||||
\(162\) | 14.2658 | + | 5.72719i | 1.12083 | + | 0.449971i | ||||
\(163\) | 20.1003 | − | 13.7042i | 1.57438 | − | 1.07339i | 0.616060 | − | 0.787699i | \(-0.288728\pi\) |
0.958320 | − | 0.285696i | \(-0.0922247\pi\) | |||||||
\(164\) | −1.93693 | − | 0.597463i | −0.151249 | − | 0.0466540i | ||||
\(165\) | −0.280640 | − | 3.84507i | −0.0218478 | − | 0.299338i | ||||
\(166\) | −8.44849 | + | 4.87774i | −0.655730 | + | 0.378586i | ||||
\(167\) | −0.638303 | − | 0.196890i | −0.0493934 | − | 0.0152358i | 0.269960 | − | 0.962872i | \(-0.412990\pi\) |
−0.319353 | + | 0.947636i | \(0.603466\pi\) | |||||||
\(168\) | 7.08930 | + | 4.64116i | 0.546951 | + | 0.358073i | ||||
\(169\) | −4.42846 | + | 1.36600i | −0.340651 | + | 0.105077i | ||||
\(170\) | 1.65272 | − | 1.78121i | 0.126758 | − | 0.136612i | ||||
\(171\) | 16.1061 | − | 9.21564i | 1.23166 | − | 0.704738i | ||||
\(172\) | 0.314899 | + | 0.0474634i | 0.0240108 | + | 0.00361905i | ||||
\(173\) | −3.32576 | + | 14.5711i | −0.252853 | + | 1.10782i | 0.675862 | + | 0.737028i | \(0.263772\pi\) |
−0.928715 | + | 0.370794i | \(0.879086\pi\) | |||||||
\(174\) | 10.7000 | − | 4.17549i | 0.811166 | − | 0.316543i | ||||
\(175\) | 4.91719 | + | 11.8047i | 0.371704 | + | 0.892352i | ||||
\(176\) | 8.02509 | − | 26.0167i | 0.604914 | − | 1.96108i | ||||
\(177\) | 7.91384 | − | 0.577608i | 0.594841 | − | 0.0434157i | ||||
\(178\) | 16.8424 | + | 9.72394i | 1.26239 | + | 0.728840i | ||||
\(179\) | 4.32717 | + | 4.66358i | 0.323428 | + | 0.348573i | 0.873746 | − | 0.486383i | \(-0.161684\pi\) |
−0.550318 | + | 0.834955i | \(0.685493\pi\) | |||||||
\(180\) | −0.245757 | − | 1.09634i | −0.0183177 | − | 0.0817166i | ||||
\(181\) | −9.69695 | − | 7.73306i | −0.720768 | − | 0.574794i | 0.192917 | − | 0.981215i | \(-0.438205\pi\) |
−0.913686 | + | 0.406421i | \(0.866776\pi\) | |||||||
\(182\) | −14.1753 | − | 12.6172i | −1.05074 | − | 0.935249i | ||||
\(183\) | 1.81123 | − | 1.67405i | 0.133890 | − | 0.123749i | ||||
\(184\) | −7.42943 | + | 6.89350i | −0.547705 | + | 0.508196i | ||||
\(185\) | 2.04773 | + | 2.56777i | 0.150552 | + | 0.188786i | ||||
\(186\) | −22.9387 | − | 9.05420i | −1.68194 | − | 0.663886i | ||||
\(187\) | 14.8564 | + | 11.8476i | 1.08641 | + | 0.866382i | ||||
\(188\) | −2.76066 | + | 1.32947i | −0.201342 | + | 0.0969613i | ||||
\(189\) | 0.204315 | + | 13.7462i | 0.0148617 | + | 0.999890i | ||||
\(190\) | −3.88568 | − | 1.87125i | −0.281897 | − | 0.135755i | ||||
\(191\) | 7.71766 | + | 16.0259i | 0.558431 | + | 1.15959i | 0.968839 | + | 0.247691i | \(0.0796718\pi\) |
−0.410408 | + | 0.911902i | \(0.634614\pi\) | |||||||
\(192\) | −0.453796 | + | 2.97157i | −0.0327499 | + | 0.214455i | ||||
\(193\) | 5.35681 | − | 2.57970i | 0.385592 | − | 0.185691i | −0.231038 | − | 0.972945i | \(-0.574212\pi\) |
0.616629 | + | 0.787254i | \(0.288498\pi\) | |||||||
\(194\) | −9.16458 | + | 23.3510i | −0.657978 | + | 1.67650i | ||||
\(195\) | −0.216132 | − | 2.96124i | −0.0154776 | − | 0.212059i | ||||
\(196\) | 1.16886 | − | 6.31492i | 0.0834899 | − | 0.451066i | ||||
\(197\) | − | 18.3565i | − | 1.30785i | −0.756561 | − | 0.653923i | \(-0.773122\pi\) | ||
0.756561 | − | 0.653923i | \(-0.226878\pi\) | |||||||
\(198\) | 26.7309 | − | 8.13184i | 1.89969 | − | 0.577905i | ||||
\(199\) | 5.37436 | − | 7.88274i | 0.380978 | − | 0.558793i | −0.587076 | − | 0.809532i | \(-0.699721\pi\) |
0.968055 | + | 0.250739i | \(0.0806735\pi\) | |||||||
\(200\) | −6.07878 | + | 6.55137i | −0.429835 | + | 0.463252i | ||||
\(201\) | −20.1179 | + | 11.5631i | −1.41901 | + | 0.815596i | ||||
\(202\) | −9.36498 | − | 13.7359i | −0.658918 | − | 0.966455i | ||||
\(203\) | 7.14092 | + | 7.38368i | 0.501195 | + | 0.518233i | ||||
\(204\) | 4.79047 | + | 2.77820i | 0.335400 | + | 0.194513i | ||||
\(205\) | 0.562316 | − | 0.705122i | 0.0392739 | − | 0.0492479i | ||||
\(206\) | 0.00914527 | + | 0.122035i | 0.000637181 | + | 0.00850260i | ||||
\(207\) | −16.0169 | − | 3.72125i | −1.11325 | − | 0.258645i | ||||
\(208\) | 6.18043 | − | 20.0365i | 0.428536 | − | 1.38928i | ||||
\(209\) | 12.3219 | − | 31.3957i | 0.852324 | − | 2.17169i | ||||
\(210\) | 2.60580 | − | 1.84909i | 0.179817 | − | 0.127600i | ||||
\(211\) | −1.20877 | − | 3.07991i | −0.0832154 | − | 0.212029i | 0.883209 | − | 0.468979i | \(-0.155378\pi\) |
−0.966425 | + | 0.256949i | \(0.917283\pi\) | |||||||
\(212\) | 0.429263 | − | 0.0321688i | 0.0294819 | − | 0.00220936i | ||||
\(213\) | 21.4843 | − | 6.58136i | 1.47208 | − | 0.450948i | ||||
\(214\) | 13.6993 | − | 23.7279i | 0.936465 | − | 1.62200i | ||||
\(215\) | −0.0708470 | + | 0.122711i | −0.00483173 | + | 0.00836879i | ||||
\(216\) | −8.68059 | + | 4.11822i | −0.590639 | + | 0.280210i | ||||
\(217\) | −0.456230 | − | 22.0497i | −0.0309709 | − | 1.49683i | ||||
\(218\) | −2.43581 | − | 7.89670i | −0.164974 | − | 0.534832i | ||||
\(219\) | −7.19367 | − | 18.4344i | −0.486103 | − | 1.24568i | ||||
\(220\) | −1.59660 | − | 1.27324i | −0.107642 | − | 0.0858420i | ||||
\(221\) | 11.4415 | + | 9.12430i | 0.769639 | + | 0.613767i | ||||
\(222\) | −14.8766 | + | 18.5805i | −0.998451 | + | 1.24704i | ||||
\(223\) | 3.65031 | + | 11.8340i | 0.244443 | + | 0.792464i | 0.991773 | + | 0.128011i | \(0.0408592\pi\) |
−0.747330 | + | 0.664453i | \(0.768665\pi\) | |||||||
\(224\) | 12.3985 | − | 3.10106i | 0.828409 | − | 0.207198i | ||||
\(225\) | −14.3296 | − | 2.21680i | −0.955309 | − | 0.147786i | ||||
\(226\) | 1.35922 | − | 2.35424i | 0.0904141 | − | 0.156602i | ||||
\(227\) | −2.26695 | + | 3.92646i | −0.150462 | + | 0.260609i | −0.931398 | − | 0.364004i | \(-0.881410\pi\) |
0.780935 | + | 0.624612i | \(0.214743\pi\) | |||||||
\(228\) | 2.20579 | − | 9.57841i | 0.146082 | − | 0.634346i | ||||
\(229\) | 26.2951 | − | 1.97054i | 1.73763 | − | 0.130217i | 0.832134 | − | 0.554575i | \(-0.187119\pi\) |
0.905495 | + | 0.424358i | \(0.139500\pi\) | |||||||
\(230\) | 1.39624 | + | 3.55756i | 0.0920653 | + | 0.234578i | ||||
\(231\) | 15.9428 | + | 19.2404i | 1.04896 | + | 1.26593i | ||||
\(232\) | −2.62269 | + | 6.68251i | −0.172188 | + | 0.438728i | ||||
\(233\) | 6.50154 | − | 21.0775i | 0.425930 | − | 1.38083i | −0.447675 | − | 0.894196i | \(-0.647748\pi\) |
0.873605 | − | 0.486635i | \(-0.161776\pi\) | |||||||
\(234\) | 20.5866 | − | 6.26265i | 1.34578 | − | 0.409402i | ||||
\(235\) | −0.101883 | − | 1.35953i | −0.00664611 | − | 0.0886861i | ||||
\(236\) | 2.62056 | − | 3.28608i | 0.170584 | − | 0.213906i | ||||
\(237\) | −12.5256 | + | 7.19927i | −0.813626 | + | 0.467643i | ||||
\(238\) | −2.02456 | + | 15.6179i | −0.131233 | + | 1.01236i | ||||
\(239\) | −1.83565 | − | 2.69240i | −0.118738 | − | 0.174157i | 0.762268 | − | 0.647261i | \(-0.224086\pi\) |
−0.881006 | + | 0.473104i | \(0.843133\pi\) | |||||||
\(240\) | 3.05399 | + | 1.77114i | 0.197134 | + | 0.114327i | ||||
\(241\) | 4.11085 | − | 4.43044i | 0.264803 | − | 0.285390i | −0.586628 | − | 0.809857i | \(-0.699545\pi\) |
0.851431 | + | 0.524467i | \(0.175735\pi\) | |||||||
\(242\) | 18.0234 | − | 26.4355i | 1.15859 | − | 1.69934i | ||||
\(243\) | −13.4237 | − | 7.92494i | −0.861130 | − | 0.508385i | ||||
\(244\) | − | 1.30642i | − | 0.0836350i | ||||||
\(245\) | 2.42553 | + | 1.51064i | 0.154962 | + | 0.0965115i | ||||
\(246\) | 5.88342 | + | 2.84739i | 0.375113 | + | 0.181543i | ||||
\(247\) | 9.48958 | − | 24.1791i | 0.603808 | − | 1.53848i | ||||
\(248\) | 13.8869 | − | 6.68756i | 0.881817 | − | 0.424661i | ||||
\(249\) | 9.21569 | − | 3.59625i | 0.584021 | − | 0.227903i | ||||
\(250\) | 2.97484 | + | 6.17733i | 0.188146 | + | 0.390688i | ||||
\(251\) | 15.0814 | + | 7.26283i | 0.951930 | + | 0.458426i | 0.844363 | − | 0.535772i | \(-0.179979\pi\) |
0.107568 | + | 0.994198i | \(0.465694\pi\) | |||||||
\(252\) | 5.42061 | + | 4.86267i | 0.341466 | + | 0.306319i | ||||
\(253\) | −26.9273 | + | 12.9675i | −1.69290 | + | 0.815260i | ||||
\(254\) | −27.3915 | − | 21.8440i | −1.71869 | − | 1.37061i | ||||
\(255\) | −1.92940 | + | 1.53252i | −0.120824 | + | 0.0959704i | ||||
\(256\) | 11.2814 | + | 14.1464i | 0.705087 | + | 0.884152i | ||||
\(257\) | 11.9789 | − | 11.1148i | 0.747223 | − | 0.693322i | −0.211590 | − | 0.977358i | \(-0.567864\pi\) |
0.958813 | + | 0.284037i | \(0.0916737\pi\) | |||||||
\(258\) | −0.980687 | − | 0.304589i | −0.0610549 | − | 0.0189629i | ||||
\(259\) | −20.4663 | − | 5.85219i | −1.27171 | − | 0.363637i | ||||
\(260\) | −1.22960 | − | 0.980575i | −0.0762567 | − | 0.0608127i | ||||
\(261\) | −11.3652 | + | 2.54763i | −0.703487 | + | 0.157694i | ||||
\(262\) | −4.16950 | − | 4.49365i | −0.257592 | − | 0.277619i | ||||
\(263\) | −0.787836 | − | 0.454858i | −0.0485801 | − | 0.0280477i | 0.475513 | − | 0.879709i | \(-0.342262\pi\) |
−0.524093 | + | 0.851661i | \(0.675596\pi\) | |||||||
\(264\) | −7.60746 | + | 15.7189i | −0.468207 | + | 0.967431i | ||||
\(265\) | −0.0564551 | + | 0.183023i | −0.00346801 | + | 0.0112430i | ||||
\(266\) | 27.5482 | − | 4.73699i | 1.68909 | − | 0.290443i | ||||
\(267\) | −15.3947 | − | 12.3258i | −0.942138 | − | 0.754327i | ||||
\(268\) | −2.73503 | + | 11.9829i | −0.167068 | + | 0.731975i | ||||
\(269\) | 18.7864 | + | 2.83159i | 1.14543 | + | 0.172645i | 0.694212 | − | 0.719771i | \(-0.255753\pi\) |
0.451213 | + | 0.892416i | \(0.350991\pi\) | |||||||
\(270\) | 0.249696 | + | 3.61440i | 0.0151960 | + | 0.219966i | ||||
\(271\) | 0.0831339 | − | 0.0895970i | 0.00505002 | − | 0.00544263i | −0.730522 | − | 0.682889i | \(-0.760723\pi\) |
0.735572 | + | 0.677447i | \(0.236914\pi\) | |||||||
\(272\) | −16.6277 | + | 5.12896i | −1.00820 | + | 0.310989i | ||||
\(273\) | 12.2782 | + | 14.8178i | 0.743110 | + | 0.896815i | ||||
\(274\) | −27.9060 | − | 8.60785i | −1.68586 | − | 0.520020i | ||||
\(275\) | −22.8239 | + | 13.1774i | −1.37633 | + | 0.794627i | ||||
\(276\) | −7.20605 | + | 4.89253i | −0.433753 | + | 0.294496i | ||||
\(277\) | −4.42713 | − | 1.36559i | −0.266001 | − | 0.0820503i | 0.158886 | − | 0.987297i | \(-0.449210\pi\) |
−0.424886 | + | 0.905247i | \(0.639686\pi\) | |||||||
\(278\) | 3.21251 | − | 2.19025i | 0.192673 | − | 0.131362i | ||||
\(279\) | 21.6083 | + | 12.5877i | 1.29365 | + | 0.753605i | ||||
\(280\) | −0.256727 | + | 1.98046i | −0.0153424 | + | 0.118355i | ||||
\(281\) | 11.9215 | + | 4.67883i | 0.711175 | + | 0.279116i | 0.693223 | − | 0.720723i | \(-0.256190\pi\) |
0.0179521 | + | 0.999839i | \(0.494285\pi\) | |||||||
\(282\) | 9.44724 | − | 2.89401i | 0.562575 | − | 0.172336i | ||||
\(283\) | −5.18455 | + | 4.13454i | −0.308190 | + | 0.245773i | −0.765355 | − | 0.643609i | \(-0.777436\pi\) |
0.457165 | + | 0.889382i | \(0.348865\pi\) | |||||||
\(284\) | 5.16411 | − | 10.7234i | 0.306434 | − | 0.636316i | ||||
\(285\) | 3.60866 | + | 2.47062i | 0.213758 | + | 0.146347i | ||||
\(286\) | 22.0317 | − | 32.3145i | 1.30276 | − | 1.91080i | ||||
\(287\) | −0.316150 | + | 5.83683i | −0.0186618 | + | 0.344537i | ||||
\(288\) | −4.32524 | + | 13.8311i | −0.254867 | + | 0.815007i | ||||
\(289\) | −0.362849 | + | 4.84189i | −0.0213441 | + | 0.284817i | ||||
\(290\) | 1.98438 | + | 1.84123i | 0.116527 | + | 0.108121i | ||||
\(291\) | 12.7614 | − | 22.0047i | 0.748089 | − | 1.28994i | ||||
\(292\) | −9.75713 | − | 3.82939i | −0.570993 | − | 0.224098i | ||||
\(293\) | −8.74143 | + | 15.1406i | −0.510680 | + | 0.884523i | 0.489244 | + | 0.872147i | \(0.337273\pi\) |
−0.999923 | + | 0.0123759i | \(0.996061\pi\) | |||||||
\(294\) | −6.80000 | + | 19.5608i | −0.396584 | + | 1.14081i | ||||
\(295\) | 0.935055 | + | 1.61956i | 0.0544410 | + | 0.0942946i | ||||
\(296\) | −2.21724 | − | 14.7104i | −0.128875 | − | 0.855027i | ||||
\(297\) | −28.0407 | + | 4.05952i | −1.62708 | + | 0.235558i | ||||
\(298\) | −3.16007 | + | 0.974752i | −0.183058 | + | 0.0564658i | ||||
\(299\) | −20.7378 | + | 9.98678i | −1.19930 | + | 0.577551i | ||||
\(300\) | −6.01422 | + | 4.77710i | −0.347231 | + | 0.275806i | ||||
\(301\) | −0.0875592 | − | 0.914178i | −0.00504683 | − | 0.0526924i | ||||
\(302\) | 8.52099 | + | 0.638560i | 0.490328 | + | 0.0367450i | ||||
\(303\) | 7.28497 | + | 15.2029i | 0.418511 | + | 0.873381i | ||||
\(304\) | 17.3981 | + | 25.5183i | 0.997850 | + | 1.46358i | ||||
\(305\) | 0.541098 | + | 0.212365i | 0.0309832 | + | 0.0121600i | ||||
\(306\) | −13.9180 | − | 11.1879i | −0.795638 | − | 0.639572i | ||||
\(307\) | 10.6332 | − | 8.47970i | 0.606869 | − | 0.483962i | −0.271182 | − | 0.962528i | \(-0.587415\pi\) |
0.878052 | + | 0.478566i | \(0.158843\pi\) | |||||||
\(308\) | 13.2162 | + | 0.715854i | 0.753066 | + | 0.0407895i | ||||
\(309\) | 0.00951404 | − | 0.123731i | 0.000541235 | − | 0.00703883i | ||||
\(310\) | −0.434341 | − | 5.79588i | −0.0246689 | − | 0.329184i | ||||
\(311\) | −4.21374 | − | 18.4616i | −0.238939 | − | 1.04686i | −0.941969 | − | 0.335700i | \(-0.891027\pi\) |
0.703030 | − | 0.711161i | \(-0.251830\pi\) | |||||||
\(312\) | −5.85880 | + | 12.1057i | −0.331689 | + | 0.685352i | ||||
\(313\) | − | 9.81019i | − | 0.554505i | −0.960797 | − | 0.277252i | \(-0.910576\pi\) | ||
0.960797 | − | 0.277252i | \(-0.0894238\pi\) | |||||||
\(314\) | −2.43623 | − | 10.6738i | −0.137484 | − | 0.602358i | ||||
\(315\) | −2.89518 | + | 1.45468i | −0.163125 | + | 0.0819617i | ||||
\(316\) | −1.70285 | + | 7.46069i | −0.0957931 | + | 0.419697i | ||||
\(317\) | −12.7410 | − | 2.90805i | −0.715605 | − | 0.163332i | −0.150809 | − | 0.988563i | \(-0.548188\pi\) |
−0.564796 | + | 0.825231i | \(0.691045\pi\) | |||||||
\(318\) | −1.38400 | − | 0.106420i | −0.0776111 | − | 0.00596773i | ||||
\(319\) | −13.1990 | + | 16.5510i | −0.739002 | + | 0.926679i | ||||
\(320\) | −0.676990 | + | 0.208824i | −0.0378449 | + | 0.0116736i | ||||
\(321\) | −17.3649 | + | 21.6883i | −0.969213 | + | 1.21052i | ||||
\(322\) | −20.7501 | − | 13.5270i | −1.15636 | − | 0.753831i | ||||
\(323\) | −21.0151 | + | 4.79656i | −1.16931 | + | 0.266888i | ||||
\(324\) | −7.90892 | + | 2.37246i | −0.439385 | + | 0.131803i | ||||
\(325\) | −17.5776 | + | 10.1484i | −0.975030 | + | 0.562934i | ||||
\(326\) | −12.2479 | + | 39.7067i | −0.678348 | + | 2.19915i | ||||
\(327\) | 1.23287 | + | 8.28874i | 0.0681779 | + | 0.458368i | ||||
\(328\) | −3.80280 | + | 1.49249i | −0.209974 | + | 0.0824089i | ||||
\(329\) | 5.65105 | + | 6.79301i | 0.311552 | + | 0.374511i | ||||
\(330\) | 4.46960 | + | 4.83588i | 0.246043 | + | 0.266206i | ||||
\(331\) | −3.49477 | − | 15.3116i | −0.192090 | − | 0.841600i | −0.975483 | − | 0.220074i | \(-0.929370\pi\) |
0.783393 | − | 0.621526i | \(-0.213487\pi\) | |||||||
\(332\) | 1.91439 | − | 4.87778i | 0.105066 | − | 0.267703i | ||||
\(333\) | 17.7570 | − | 16.3482i | 0.973080 | − | 0.895878i | ||||
\(334\) | 1.06208 | − | 0.416834i | 0.0581142 | − | 0.0228082i | ||||
\(335\) | −4.51854 | − | 3.08069i | −0.246874 | − | 0.168316i | ||||
\(336\) | −22.7816 | + | 2.13737i | −1.24284 | + | 0.116603i | ||||
\(337\) | 27.6323 | − | 18.8394i | 1.50523 | − | 1.02625i | 0.520164 | − | 0.854066i | \(-0.325871\pi\) |
0.985065 | − | 0.172182i | \(-0.0550816\pi\) | |||||||
\(338\) | 4.45909 | − | 6.54029i | 0.242543 | − | 0.355745i | ||||
\(339\) | −1.72291 | + | 2.15188i | −0.0935759 | + | 0.116874i | ||||
\(340\) | −0.0975343 | + | 1.30151i | −0.00528954 | + | 0.0705840i | ||||
\(341\) | 44.9447 | − | 6.77433i | 2.43389 | − | 0.366850i | ||||
\(342\) | −11.6940 | + | 29.4590i | −0.632341 | + | 1.59296i | ||||
\(343\) | −18.4846 | + | 1.14871i | −0.998075 | + | 0.0620243i | ||||
\(344\) | 0.555832 | − | 0.320910i | 0.0299684 | − | 0.0173023i | ||||
\(345\) | −0.855026 | − | 3.77993i | −0.0460330 | − | 0.203505i | ||||
\(346\) | −11.0763 | − | 23.0002i | −0.595467 | − | 1.23650i | ||||
\(347\) | −11.6776 | − | 2.66534i | −0.626886 | − | 0.143083i | −0.102736 | − | 0.994709i | \(-0.532760\pi\) |
−0.524150 | + | 0.851626i | \(0.675617\pi\) | |||||||
\(348\) | −3.09509 | + | 5.33690i | −0.165914 | + | 0.286088i | ||||
\(349\) | 11.1717 | − | 0.837205i | 0.598009 | − | 0.0448146i | 0.227713 | − | 0.973728i | \(-0.426875\pi\) |
0.370296 | + | 0.928914i | \(0.379256\pi\) | |||||||
\(350\) | −19.1380 | − | 10.5276i | −1.02297 | − | 0.562722i | ||||
\(351\) | −21.5952 | + | 3.12640i | −1.15267 | + | 0.166875i | ||||
\(352\) | 9.62288 | + | 24.5187i | 0.512901 | + | 1.30685i | ||||
\(353\) | 13.8676 | − | 9.45474i | 0.738096 | − | 0.503225i | −0.134957 | − | 0.990851i | \(-0.543090\pi\) |
0.873052 | + | 0.487626i | \(0.162137\pi\) | |||||||
\(354\) | −9.95311 | + | 9.19923i | −0.529002 | + | 0.488934i | ||||
\(355\) | 3.60200 | + | 3.88203i | 0.191174 | + | 0.206037i | ||||
\(356\) | −10.3294 | + | 1.55691i | −0.547459 | + | 0.0825162i | ||||
\(357\) | 4.42031 | − | 15.3459i | 0.233947 | − | 0.812190i | ||||
\(358\) | −10.7451 | − | 1.61956i | −0.567895 | − | 0.0855963i | ||||
\(359\) | 1.76986 | + | 2.59590i | 0.0934094 | + | 0.137006i | 0.870099 | − | 0.492877i | \(-0.164055\pi\) |
−0.776689 | + | 0.629884i | \(0.783103\pi\) | |||||||
\(360\) | −1.76489 | − | 1.41870i | −0.0930181 | − | 0.0747723i | ||||
\(361\) | 9.62969 | + | 16.6791i | 0.506826 | + | 0.877848i | ||||
\(362\) | 21.1848 | 1.11345 | ||||||||
\(363\) | −22.1139 | + | 23.7405i | −1.16068 | + | 1.24605i | ||||
\(364\) | 10.1784 | + | 0.551307i | 0.533491 | + | 0.0288963i | ||||
\(365\) | 3.17214 | − | 3.41876i | 0.166037 | − | 0.178946i | ||||
\(366\) | −0.635959 | + | 4.16442i | −0.0332421 | + | 0.217678i | ||||
\(367\) | −21.0645 | + | 8.26722i | −1.09956 | + | 0.431545i | −0.844595 | − | 0.535405i | \(-0.820159\pi\) |
−0.254964 | + | 0.966951i | \(0.582064\pi\) | |||||||
\(368\) | 4.07906 | − | 27.0628i | 0.212636 | − | 1.41074i | ||||
\(369\) | −5.46181 | − | 3.75495i | −0.284330 | − | 0.195475i | ||||
\(370\) | −5.46911 | − | 1.24829i | −0.284326 | − | 0.0648955i | ||||
\(371\) | −0.390363 | − | 1.17840i | −0.0202666 | − | 0.0611797i | ||||
\(372\) | 12.6653 | − | 3.87980i | 0.656664 | − | 0.201158i | ||||
\(373\) | 7.16508 | + | 12.4103i | 0.370994 | + | 0.642580i | 0.989719 | − | 0.143028i | \(-0.0456838\pi\) |
−0.618725 | + | 0.785608i | \(0.712350\pi\) | |||||||
\(374\) | −32.4566 | −1.67829 | ||||||||
\(375\) | −2.03642 | − | 6.64772i | −0.105160 | − | 0.343287i | ||||
\(376\) | −2.67942 | + | 5.56387i | −0.138180 | + | 0.286935i | ||||
\(377\) | −10.1651 | + | 12.7466i | −0.523527 | + | 0.656483i | ||||
\(378\) | −14.9119 | − | 18.1393i | −0.766988 | − | 0.932983i | ||||
\(379\) | 10.8692 | + | 13.6295i | 0.558311 | + | 0.700100i | 0.978245 | − | 0.207455i | \(-0.0665181\pi\) |
−0.419934 | + | 0.907555i | \(0.637947\pi\) | |||||||
\(380\) | 2.25846 | − | 0.515479i | 0.115857 | − | 0.0264435i | ||||
\(381\) | 24.1140 | + | 26.0902i | 1.23540 | + | 1.33664i | ||||
\(382\) | −27.3731 | − | 13.1822i | −1.40053 | − | 0.674460i | ||||
\(383\) | −19.1133 | − | 2.88087i | −0.976646 | − | 0.147206i | −0.358723 | − | 0.933444i | \(-0.616788\pi\) |
−0.617923 | + | 0.786238i | \(0.712026\pi\) | |||||||
\(384\) | −10.8972 | − | 18.9594i | −0.556095 | − | 0.967518i | ||||
\(385\) | −2.44486 | + | 5.35758i | −0.124602 | + | 0.273048i | ||||
\(386\) | −4.40628 | + | 9.14973i | −0.224274 | + | 0.465709i | ||||
\(387\) | 0.936439 | + | 0.455454i | 0.0476019 | + | 0.0231520i | ||||
\(388\) | −3.97153 | − | 12.8754i | −0.201624 | − | 0.653649i | ||||
\(389\) | −8.55413 | − | 0.641043i | −0.433711 | − | 0.0325022i | −0.143914 | − | 0.989590i | \(-0.545969\pi\) |
−0.289797 | + | 0.957088i | \(0.593588\pi\) | |||||||
\(390\) | 3.44221 | + | 3.72430i | 0.174303 | + | 0.188587i | ||||
\(391\) | 16.5422 | + | 9.55065i | 0.836576 | + | 0.482997i | ||||
\(392\) | −6.09347 | − | 11.4193i | −0.307766 | − | 0.576760i | ||||
\(393\) | 3.49172 | + | 5.14283i | 0.176134 | + | 0.259422i | ||||
\(394\) | 19.5489 | + | 24.5135i | 0.984857 | + | 1.23497i | ||||
\(395\) | −2.81329 | − | 1.91807i | −0.141552 | − | 0.0965085i | ||||
\(396\) | −8.50228 | + | 12.3671i | −0.427256 | + | 0.621469i | ||||
\(397\) | 5.40380 | + | 0.404959i | 0.271209 | + | 0.0203243i | 0.209640 | − | 0.977779i | \(-0.432771\pi\) |
0.0615685 | + | 0.998103i | \(0.480390\pi\) | |||||||
\(398\) | 1.21778 | + | 16.2502i | 0.0610419 | + | 0.814547i | ||||
\(399\) | −28.3402 | + | 0.531330i | −1.41878 | + | 0.0265998i | ||||
\(400\) | 1.80353 | − | 24.0664i | 0.0901763 | − | 1.20332i | ||||
\(401\) | 0.906092 | − | 6.01153i | 0.0452481 | − | 0.300201i | −0.954748 | − | 0.297416i | \(-0.903875\pi\) |
0.999996 | − | 0.00278558i | \(-0.000886680\pi\) | |||||||
\(402\) | 14.5516 | − | 36.8662i | 0.725767 | − | 1.83872i | ||||
\(403\) | 34.6137 | − | 5.21718i | 1.72423 | − | 0.259886i | ||||
\(404\) | 8.53293 | + | 2.63206i | 0.424529 | + | 0.130950i | ||||
\(405\) | 0.303001 | − | 3.66140i | 0.0150563 | − | 0.181936i | ||||
\(406\) | −17.3994 | − | 2.25549i | −0.863516 | − | 0.111938i | ||||
\(407\) | 6.53846 | − | 43.3798i | 0.324099 | − | 2.15026i | ||||
\(408\) | 11.0394 | − | 1.64201i | 0.546534 | − | 0.0812917i | ||||
\(409\) | 31.8569 | − | 7.27114i | 1.57522 | − | 0.359535i | 0.656466 | − | 0.754356i | \(-0.272051\pi\) |
0.918758 | + | 0.394821i | \(0.129193\pi\) | |||||||
\(410\) | 1.54047i | 0.0760784i | ||||||||
\(411\) | 26.6560 | + | 12.9007i | 1.31484 | + | 0.636343i | ||||
\(412\) | −0.0447098 | − | 0.0481858i | −0.00220270 | − | 0.00237394i | ||||
\(413\) | −11.0269 | − | 5.03197i | −0.542597 | − | 0.247607i | ||||
\(414\) | 25.3521 | − | 12.0879i | 1.24599 | − | 0.594086i | ||||
\(415\) | 1.70910 | + | 1.58581i | 0.0838965 | + | 0.0778446i | ||||
\(416\) | 7.41096 | + | 18.8828i | 0.363352 | + | 0.925806i | ||||
\(417\) | −3.55559 | + | 1.70379i | −0.174118 | + | 0.0834347i | ||||
\(418\) | 16.9802 | + | 55.0485i | 0.830529 | + | 2.69251i | ||||
\(419\) | 23.8438 | + | 22.1238i | 1.16484 | + | 1.08082i | 0.995452 | + | 0.0952692i | \(0.0303712\pi\) |
0.169393 | + | 0.985549i | \(0.445819\pi\) | |||||||
\(420\) | −0.475043 | + | 1.64920i | −0.0231797 | + | 0.0804726i | ||||
\(421\) | −1.68575 | + | 1.56415i | −0.0821585 | + | 0.0762319i | −0.720183 | − | 0.693784i | \(-0.755942\pi\) |
0.638025 | + | 0.770016i | \(0.279752\pi\) | |||||||
\(422\) | 4.89417 | + | 2.82565i | 0.238245 | + | 0.137551i | ||||
\(423\) | −9.91318 | + | 1.45482i | −0.481995 | + | 0.0707357i | ||||
\(424\) | 0.635971 | − | 0.590095i | 0.0308855 | − | 0.0286576i | ||||
\(425\) | 15.1757 | + | 7.30825i | 0.736131 | + | 0.354502i | ||||
\(426\) | −21.6815 | + | 31.6686i | −1.05047 | + | 1.53435i | ||||
\(427\) | −3.65486 | + | 0.914138i | −0.176871 | + | 0.0442382i | ||||
\(428\) | 2.19341 | + | 14.5523i | 0.106023 | + | 0.703414i | ||||
\(429\) | −27.0319 | + | 29.0203i | −1.30511 | + | 1.40111i | ||||
\(430\) | −0.0360714 | − | 0.239318i | −0.00173952 | − | 0.0115409i | ||||
\(431\) | −19.5335 | + | 1.46383i | −0.940895 | + | 0.0705103i | −0.536339 | − | 0.844003i | \(-0.680193\pi\) |
−0.404556 | + | 0.914513i | \(0.632574\pi\) | |||||||
\(432\) | 11.3933 | − | 23.3100i | 0.548158 | − | 1.12150i | ||||
\(433\) | −15.3848 | − | 31.9469i | −0.739347 | − | 1.53527i | −0.841353 | − | 0.540485i | \(-0.818241\pi\) |
0.102007 | − | 0.994784i | \(-0.467474\pi\) | |||||||
\(434\) | 24.0912 | + | 28.9596i | 1.15641 | + | 1.39010i | ||||
\(435\) | −1.70733 | − | 2.14948i | −0.0818603 | − | 0.103060i | ||||
\(436\) | 3.66750 | + | 2.50046i | 0.175641 | + | 0.119750i | ||||
\(437\) | 7.54419 | − | 33.0532i | 0.360887 | − | 1.58115i | ||||
\(438\) | 29.2383 | + | 16.9565i | 1.39706 | + | 0.810214i | ||||
\(439\) | −2.55368 | + | 2.03649i | −0.121880 | + | 0.0971963i | −0.682533 | − | 0.730855i | \(-0.739122\pi\) |
0.560653 | + | 0.828051i | \(0.310550\pi\) | |||||||
\(440\) | −4.11571 | −0.196209 | ||||||||
\(441\) | 9.81093 | − | 18.5673i | 0.467187 | − | 0.884159i | ||||
\(442\) | −24.9961 | −1.18894 | ||||||||
\(443\) | 3.86167 | − | 3.07958i | 0.183473 | − | 0.146315i | −0.527446 | − | 0.849588i | \(-0.676850\pi\) |
0.710920 | + | 0.703273i | \(0.248279\pi\) | |||||||
\(444\) | 0.0248274 | − | 12.7850i | 0.00117826 | − | 0.606748i | ||||
\(445\) | 1.03426 | − | 4.53137i | 0.0490284 | − | 0.214807i | ||||
\(446\) | −17.4774 | − | 11.9159i | −0.827577 | − | 0.564232i | ||||
\(447\) | 3.31695 | − | 0.493365i | 0.156887 | − | 0.0233353i | ||||
\(448\) | 2.78805 | − | 3.64845i | 0.131723 | − | 0.172373i | ||||
\(449\) | 11.8289 | + | 24.5630i | 0.558241 | + | 1.15920i | 0.968910 | + | 0.247414i | \(0.0795809\pi\) |
−0.410669 | + | 0.911785i | \(0.634705\pi\) | |||||||
\(450\) | 21.4967 | − | 12.3001i | 1.01337 | − | 0.579831i | ||||
\(451\) | −12.0132 | + | 0.900265i | −0.565680 | + | 0.0423918i | ||||
\(452\) | 0.217627 | + | 1.44386i | 0.0102363 | + | 0.0679135i | ||||
\(453\) | −8.44392 | − | 1.94453i | −0.396730 | − | 0.0913619i | ||||
\(454\) | −1.15420 | − | 7.65764i | −0.0541695 | − | 0.359391i | ||||
\(455\) | −1.88288 | + | 4.12609i | −0.0882710 | + | 0.193434i | ||||
\(456\) | −8.56043 | − | 17.8646i | −0.400879 | − | 0.836585i | ||||
\(457\) | −5.71128 | − | 2.75041i | −0.267162 | − | 0.128659i | 0.295507 | − | 0.955340i | \(-0.404511\pi\) |
−0.562669 | + | 0.826682i | \(0.690226\pi\) | |||||||
\(458\) | −33.0162 | + | 30.6346i | −1.54275 | + | 1.43146i | ||||
\(459\) | 12.2391 | + | 13.3457i | 0.571271 | + | 0.622923i | ||||
\(460\) | −1.77777 | − | 1.02639i | −0.0828888 | − | 0.0478559i | ||||
\(461\) | 20.8564 | − | 19.3519i | 0.971380 | − | 0.901309i | −0.0237664 | − | 0.999718i | \(-0.507566\pi\) |
0.995146 | + | 0.0984089i | \(0.0313753\pi\) | |||||||
\(462\) | −41.7804 | − | 8.71550i | −1.94380 | − | 0.405482i | ||||
\(463\) | −6.86186 | − | 6.36687i | −0.318897 | − | 0.295894i | 0.504439 | − | 0.863447i | \(-0.331699\pi\) |
−0.823336 | + | 0.567554i | \(0.807890\pi\) | |||||||
\(464\) | −5.71400 | − | 18.5243i | −0.265266 | − | 0.859970i | ||||
\(465\) | −0.451855 | + | 5.87643i | −0.0209543 | + | 0.272513i | ||||
\(466\) | 13.7643 | + | 35.0710i | 0.637621 | + | 1.62463i | ||||
\(467\) | −1.53841 | − | 1.42743i | −0.0711890 | − | 0.0660538i | 0.643776 | − | 0.765214i | \(-0.277367\pi\) |
−0.714965 | + | 0.699160i | \(0.753557\pi\) | |||||||
\(468\) | −6.54794 | + | 9.52438i | −0.302679 | + | 0.440264i | ||||
\(469\) | 35.4374 | − | 0.733236i | 1.63635 | − | 0.0338577i | ||||
\(470\) | 1.58390 | + | 1.70704i | 0.0730597 | + | 0.0787397i | ||||
\(471\) | 0.808161 | + | 11.0727i | 0.0372381 | + | 0.510201i | ||||
\(472\) | − | 8.47088i | − | 0.389904i | ||||||
\(473\) | 1.84522 | − | 0.421159i | 0.0848432 | − | 0.0193649i | ||||
\(474\) | 9.05995 | − | 22.9532i | 0.416137 | − | 1.05428i | ||||
\(475\) | 4.45582 | − | 29.5624i | 0.204447 | − | 1.35642i | ||||
\(476\) | −4.38019 | − | 7.23673i | −0.200766 | − | 0.331695i | ||||
\(477\) | 1.37107 | + | 0.318546i | 0.0627771 | + | 0.0145852i | ||||
\(478\) | 5.31863 | + | 1.64058i | 0.243268 | + | 0.0750383i | ||||
\(479\) | −27.7592 | + | 4.18403i | −1.26835 | + | 0.191173i | −0.748529 | − | 0.663102i | \(-0.769240\pi\) |
−0.519821 | + | 0.854275i | \(0.674001\pi\) | |||||||
\(480\) | −3.37825 | + | 0.502482i | −0.154195 | + | 0.0229351i | ||||
\(481\) | 5.03553 | − | 33.4085i | 0.229600 | − | 1.52330i | ||||
\(482\) | −0.771454 | + | 10.2943i | −0.0351388 | + | 0.468894i | ||||
\(483\) | 18.7297 | + | 16.7363i | 0.852230 | + | 0.761529i | ||||
\(484\) | 1.28428 | + | 17.1375i | 0.0583763 | + | 0.778978i | ||||
\(485\) | 5.97837 | + | 0.448017i | 0.271464 | + | 0.0203434i | ||||
\(486\) | 26.3659 | − | 3.71257i | 1.19598 | − | 0.168406i | ||||
\(487\) | 16.2117 | + | 11.0530i | 0.734623 | + | 0.500858i | 0.871905 | − | 0.489674i | \(-0.162884\pi\) |
−0.137282 | + | 0.990532i | \(0.543837\pi\) | |||||||
\(488\) | −1.64163 | − | 2.05854i | −0.0743131 | − | 0.0931857i | ||||
\(489\) | 18.3560 | − | 37.9281i | 0.830089 | − | 1.71517i | ||||
\(490\) | −4.84785 | + | 0.565751i | −0.219004 | + | 0.0255580i | ||||
\(491\) | 2.59744 | + | 1.49964i | 0.117221 | + | 0.0676776i | 0.557464 | − | 0.830201i | \(-0.311774\pi\) |
−0.440243 | + | 0.897879i | \(0.645108\pi\) | |||||||
\(492\) | −3.42432 | + | 0.774585i | −0.154380 | + | 0.0349210i | ||||
\(493\) | 13.4920 | + | 1.01108i | 0.607648 | + | 0.0455369i | ||||
\(494\) | 13.0771 | + | 42.3950i | 0.588368 | + | 1.90744i | ||||
\(495\) | −3.74015 | − | 5.53183i | −0.168107 | − | 0.248637i | ||||
\(496\) | −18.0592 | + | 37.5002i | −0.810880 | + | 1.68381i | ||||
\(497\) | −33.6134 | − | 6.94375i | −1.50777 | − | 0.311470i | ||||
\(498\) | −8.47689 | + | 14.6168i | −0.379859 | + | 0.654994i | ||||
\(499\) | −4.30748 | − | 0.649248i | −0.192829 | − | 0.0290643i | 0.0519174 | − | 0.998651i | \(-0.483467\pi\) |
−0.244747 | + | 0.969587i | \(0.578705\pi\) | |||||||
\(500\) | −3.31805 | − | 1.59789i | −0.148388 | − | 0.0714598i | ||||
\(501\) | −1.12846 | + | 0.255260i | −0.0504161 | + | 0.0114042i | ||||
\(502\) | −27.8745 | + | 6.36217i | −1.24410 | + | 0.283958i | ||||
\(503\) | 21.1968 | + | 26.5800i | 0.945119 | + | 1.18514i | 0.982579 | + | 0.185844i | \(0.0595018\pi\) |
−0.0374603 | + | 0.999298i | \(0.511927\pi\) | |||||||
\(504\) | 14.6517 | + | 0.850687i | 0.652638 | + | 0.0378926i | ||||
\(505\) | −2.47723 | + | 3.10634i | −0.110235 | + | 0.138230i | ||||
\(506\) | 22.1492 | − | 45.9933i | 0.984653 | − | 2.04465i | ||||
\(507\) | −5.47112 | + | 5.87355i | −0.242981 | + | 0.260853i | ||||
\(508\) | 18.8185 | 0.834936 | ||||||||
\(509\) | 3.72108 | + | 6.44510i | 0.164934 | + | 0.285674i | 0.936632 | − | 0.350315i | \(-0.113926\pi\) |
−0.771698 | + | 0.635989i | \(0.780592\pi\) | |||||||
\(510\) | 0.944473 | − | 4.10128i | 0.0418219 | − | 0.181608i | ||||
\(511\) | −3.88583 | + | 29.9762i | −0.171899 | + | 1.32607i | ||||
\(512\) | −5.51277 | − | 1.25825i | −0.243632 | − | 0.0556075i | ||||
\(513\) | 16.2321 | − | 27.7403i | 0.716663 | − | 1.22476i | ||||
\(514\) | −4.16000 | + | 27.5998i | −0.183490 | + | 1.21738i | ||||
\(515\) | 0.0272255 | − | 0.0106852i | 0.00119970 | − | 0.000470848i | ||||
\(516\) | 0.513844 | − | 0.200518i | 0.0226207 | − | 0.00882732i | ||||
\(517\) | −12.3865 | + | 13.3495i | −0.544758 | + | 0.587109i | ||||
\(518\) | 33.5632 | − | 13.9806i | 1.47468 | − | 0.614271i | ||||
\(519\) | 7.58227 | + | 24.7517i | 0.332825 | + | 1.08648i | ||||
\(520\) | −3.16967 | −0.138999 | ||||||||
\(521\) | −0.765843 | − | 1.32648i | −0.0335522 | − | 0.0581141i | 0.848762 | − | 0.528776i | \(-0.177349\pi\) |
−0.882314 | + | 0.470661i | \(0.844015\pi\) | |||||||
\(522\) | 12.4641 | − | 15.5055i | 0.545538 | − | 0.678659i | ||||
\(523\) | −23.8790 | − | 35.0241i | −1.04416 | − | 1.53150i | −0.832401 | − | 0.554174i | \(-0.813034\pi\) |
−0.211756 | − | 0.977323i | \(-0.567918\pi\) | |||||||
\(524\) | 3.25589 | + | 0.490746i | 0.142234 | + | 0.0214383i | ||||
\(525\) | 17.5728 | + | 13.4828i | 0.766940 | + | 0.588437i | ||||
\(526\) | 1.53649 | − | 0.231588i | 0.0669941 | − | 0.0100977i | ||||
\(527\) | −19.7586 | − | 21.2947i | −0.860698 | − | 0.927612i | ||||
\(528\) | −10.4042 | − | 45.9953i | −0.452784 | − | 2.00169i | ||||
\(529\) | −5.81930 | + | 3.96753i | −0.253013 | + | 0.172501i | ||||
\(530\) | −0.119520 | − | 0.304533i | −0.00519164 | − | 0.0132281i | ||||
\(531\) | 11.3855 | − | 7.69791i | 0.494089 | − | 0.334061i | ||||
\(532\) | −9.98240 | + | 11.2151i | −0.432792 | + | 0.486236i | ||||
\(533\) | −9.25184 | + | 0.693330i | −0.400742 | + | 0.0300314i | ||||
\(534\) | 33.6846 | + | 0.0654128i | 1.45768 | + | 0.00283069i | ||||
\(535\) | −6.38389 | − | 1.45708i | −0.276000 | − | 0.0629951i | ||||
\(536\) | 10.7480 | + | 22.3185i | 0.464243 | + | 0.964010i | ||||
\(537\) | 10.5232 | + | 3.26838i | 0.454110 | + | 0.141041i | ||||
\(538\) | −28.1031 | + | 16.2253i | −1.21161 | + | 0.699523i | ||||
\(539\) | −7.24509 | − | 37.4749i | −0.312068 | − | 1.61416i | ||||
\(540\) | −1.31532 | − | 1.43424i | −0.0566022 | − | 0.0617199i | ||||
\(541\) | 15.0540 | − | 2.26902i | 0.647222 | − | 0.0975530i | 0.182776 | − | 0.983155i | \(-0.441492\pi\) |
0.464446 | + | 0.885602i | \(0.346254\pi\) | |||||||
\(542\) | −0.0156011 | + | 0.208183i | −0.000670126 | + | 0.00894221i | ||||
\(543\) | −21.2362 | − | 3.24303i | −0.911332 | − | 0.139172i | ||||
\(544\) | 9.48292 | − | 13.9089i | 0.406577 | − | 0.596339i | ||||
\(545\) | −1.63182 | + | 1.11256i | −0.0698994 | + | 0.0476566i | ||||
\(546\) | −32.1767 | − | 6.71215i | −1.37704 | − | 0.287254i | ||||
\(547\) | −13.2027 | − | 9.00145i | −0.564507 | − | 0.384874i | 0.247178 | − | 0.968970i | \(-0.420497\pi\) |
−0.811685 | + | 0.584096i | \(0.801449\pi\) | |||||||
\(548\) | 14.6018 | − | 5.73079i | 0.623759 | − | 0.244807i | ||||
\(549\) | 1.27500 | − | 4.07717i | 0.0544159 | − | 0.174010i | ||||
\(550\) | 16.4460 | − | 41.9037i | 0.701260 | − | 1.78678i | ||||
\(551\) | −5.34368 | − | 23.4122i | −0.227649 | − | 0.997394i | ||||
\(552\) | −5.20676 | + | 16.7642i | −0.221614 | + | 0.713534i | ||||
\(553\) | 22.0637 | − | 0.456519i | 0.938243 | − | 0.0194132i | ||||
\(554\) | 7.36634 | − | 2.89107i | 0.312966 | − | 0.122830i | ||||
\(555\) | 5.29129 | + | 2.08855i | 0.224603 | + | 0.0886539i | ||||
\(556\) | −0.615577 | + | 1.99565i | −0.0261063 | + | 0.0846345i | ||||
\(557\) | −1.51734 | + | 0.876036i | −0.0642917 | + | 0.0371188i | −0.531801 | − | 0.846869i | \(-0.678485\pi\) |
0.467510 | + | 0.883988i | \(0.345151\pi\) | |||||||
\(558\) | −42.2613 | + | 6.20210i | −1.78906 | + | 0.262556i | ||||
\(559\) | 1.42108 | − | 0.324351i | 0.0601051 | − | 0.0137186i | ||||
\(560\) | −2.79243 | − | 4.61351i | −0.118002 | − | 0.194957i | ||||
\(561\) | 32.5354 | + | 4.96855i | 1.37364 | + | 0.209772i | ||||
\(562\) | −20.9028 | + | 6.44766i | −0.881732 | + | 0.271978i | ||||
\(563\) | −6.47596 | + | 8.12060i | −0.272929 | + | 0.342243i | −0.899339 | − | 0.437251i | \(-0.855952\pi\) |
0.626410 | + | 0.779494i | \(0.284524\pi\) | |||||||
\(564\) | −2.99815 | + | 4.37919i | −0.126245 | + | 0.184397i | ||||
\(565\) | −0.633399 | − | 0.144569i | −0.0266473 | − | 0.00608208i | ||||
\(566\) | 2.52041 | − | 11.0426i | 0.105941 | − | 0.464157i | ||||
\(567\) | 12.1713 | + | 20.4660i | 0.511147 | + | 0.859493i | ||||
\(568\) | −5.33773 | − | 23.3861i | −0.223966 | − | 0.981259i | ||||
\(569\) | 2.39819i | 0.100537i | 0.998736 | + | 0.0502686i | \(0.0160077\pi\) | ||||
−0.998736 | + | 0.0502686i | \(0.983992\pi\) | |||||||
\(570\) | −7.45014 | + | 0.543764i | −0.312052 | + | 0.0227758i | ||||
\(571\) | 2.10235 | + | 9.21099i | 0.0879805 | + | 0.385468i | 0.999677 | − | 0.0253954i | \(-0.00808449\pi\) |
−0.911697 | + | 0.410863i | \(0.865227\pi\) | |||||||
\(572\) | 1.56989 | + | 20.9488i | 0.0656406 | + | 0.875913i | ||||
\(573\) | 25.4216 | + | 17.4045i | 1.06200 | + | 0.727085i | ||||
\(574\) | −5.79378 | − | 8.13126i | −0.241828 | − | 0.339392i | ||||
\(575\) | −20.7126 | + | 16.5178i | −0.863776 | + | 0.688838i | ||||
\(576\) | 1.88334 | + | 4.85403i | 0.0784726 | + | 0.202251i | ||||
\(577\) | −22.0090 | − | 8.63790i | −0.916247 | − | 0.359600i | −0.140089 | − | 0.990139i | \(-0.544739\pi\) |
−0.776158 | + | 0.630539i | \(0.782834\pi\) | |||||||
\(578\) | −4.67184 | − | 6.85233i | −0.194323 | − | 0.285019i | ||||
\(579\) | 5.81764 | − | 8.49741i | 0.241773 | − | 0.353140i | ||||
\(580\) | −1.44996 | − | 0.108660i | −0.0602064 | − | 0.00451184i | ||||
\(581\) | −14.9857 | − | 1.94260i | −0.621711 | − | 0.0805927i | ||||
\(582\) | 6.39222 | + | 42.9757i | 0.264966 | + | 1.78140i | ||||
\(583\) | 2.30502 | − | 1.11004i | 0.0954643 | − | 0.0459732i | ||||
\(584\) | −20.1864 | + | 6.22667i | −0.835318 | + | 0.257662i | ||||
\(585\) | −2.88044 | − | 4.26028i | −0.119091 | − | 0.176141i | ||||
\(586\) | −4.45065 | − | 29.5282i | −0.183855 | − | 1.21980i | ||||
\(587\) | 20.7873 | + | 36.0047i | 0.857985 | + | 1.48607i | 0.873848 | + | 0.486200i | \(0.161617\pi\) |
−0.0158627 | + | 0.999874i | \(0.505049\pi\) | |||||||
\(588\) | −3.69523 | − | 10.4918i | −0.152389 | − | 0.432676i | ||||
\(589\) | −25.7801 | + | 44.6525i | −1.06225 | + | 1.83988i | ||||
\(590\) | −2.97345 | − | 1.16699i | −0.122415 | − | 0.0480443i | ||||
\(591\) | −15.8437 | − | 27.5656i | −0.651723 | − | 1.13390i | ||||
\(592\) | 29.4488 | + | 27.3245i | 1.21034 | + | 1.12303i | ||||
\(593\) | −2.57332 | + | 34.3385i | −0.105673 | + | 1.41011i | 0.652365 | + | 0.757905i | \(0.273777\pi\) |
−0.758039 | + | 0.652210i | \(0.773842\pi\) | |||||||
\(594\) | 33.1226 | − | 35.2832i | 1.35904 | − | 1.44769i | ||||
\(595\) | 3.70936 | − | 0.637835i | 0.152069 | − | 0.0261487i | ||||
\(596\) | 1.00062 | − | 1.46764i | 0.0409871 | − | 0.0601170i | ||||
\(597\) | 1.26689 | − | 16.4760i | 0.0518502 | − | 0.674319i | ||||
\(598\) | 17.0580 | − | 35.4213i | 0.697553 | − | 1.44848i | ||||
\(599\) | −21.8348 | + | 17.4127i | −0.892146 | + | 0.711463i | −0.958123 | − | 0.286358i | \(-0.907555\pi\) |
0.0659762 | + | 0.997821i | \(0.478984\pi\) | |||||||
\(600\) | −3.47382 | + | 15.0847i | −0.141818 | + | 0.615831i | ||||
\(601\) | 11.1422 | + | 4.37299i | 0.454500 | + | 0.178378i | 0.581537 | − | 0.813520i | \(-0.302452\pi\) |
−0.127037 | + | 0.991898i | \(0.540547\pi\) | |||||||
\(602\) | 1.09049 | + | 1.12756i | 0.0444449 | + | 0.0459558i | ||||
\(603\) | −20.2305 | + | 34.7280i | −0.823849 | + | 1.41423i | ||||
\(604\) | −3.79223 | + | 2.58550i | −0.154304 | + | 0.105202i | ||||
\(605\) | −7.30684 | − | 2.25386i | −0.297065 | − | 0.0916325i | ||||
\(606\) | −25.9188 | − | 12.5439i | −1.05288 | − | 0.509561i | ||||
\(607\) | 21.3356 | − | 12.3181i | 0.865986 | − | 0.499977i | −2.61832e−5 | − | 1.00000i | \(-0.500008\pi\) |
0.866012 | + | 0.500023i | \(0.166675\pi\) | |||||||
\(608\) | −28.5515 | − | 8.80697i | −1.15792 | − | 0.357170i | ||||
\(609\) | 17.0963 | + | 4.92451i | 0.692777 | + | 0.199551i | ||||
\(610\) | −0.948748 | + | 0.292650i | −0.0384137 | + | 0.0118490i | ||||
\(611\) | −9.53933 | + | 10.2810i | −0.385920 | + | 0.415923i | ||||
\(612\) | 9.59165 | + | 0.0372525i | 0.387719 | + | 0.00150584i | ||||
\(613\) | −3.76057 | − | 0.566815i | −0.151888 | − | 0.0228935i | 0.0726580 | − | 0.997357i | \(-0.476852\pi\) |
−0.224546 | + | 0.974463i | \(0.572090\pi\) | |||||||
\(614\) | −5.16921 | + | 22.6478i | −0.208612 | + | 0.913990i | ||||
\(615\) | 0.235820 | − | 1.54421i | 0.00950917 | − | 0.0622685i | ||||
\(616\) | 21.7245 | − | 15.4794i | 0.875305 | − | 0.623682i | ||||
\(617\) | −2.97371 | + | 9.64052i | −0.119717 | + | 0.388113i | −0.995519 | − | 0.0945569i | \(-0.969857\pi\) |
0.875803 | + | 0.482669i | \(0.160333\pi\) | |||||||
\(618\) | 0.119063 | + | 0.175364i | 0.00478942 | + | 0.00705419i | ||||
\(619\) | 1.79254 | + | 1.03492i | 0.0720483 | + | 0.0415971i | 0.535591 | − | 0.844477i | \(-0.320089\pi\) |
−0.463543 | + | 0.886074i | \(0.653422\pi\) | |||||||
\(620\) | 2.12343 | + | 2.28851i | 0.0852788 | + | 0.0919087i | ||||
\(621\) | −27.2641 | + | 8.23621i | −1.09407 | + | 0.330508i | ||||
\(622\) | 25.2878 | + | 20.1664i | 1.01395 | + | 0.808598i | ||||
\(623\) | 11.5834 | + | 27.8084i | 0.464081 | + | 1.11412i | ||||
\(624\) | −8.01267 | − | 35.4228i | −0.320764 | − | 1.41804i | ||||
\(625\) | −16.5143 | + | 15.3231i | −0.660574 | + | 0.612923i | ||||
\(626\) | 10.4474 | + | 13.1006i | 0.417563 | + | 0.523607i | ||||
\(627\) | −8.59443 | − | 57.7814i | −0.343228 | − | 2.30757i | ||||
\(628\) | 4.59772 | + | 3.66656i | 0.183469 | + | 0.146312i | ||||
\(629\) | −25.2613 | + | 12.1652i | −1.00723 | + | 0.485058i | ||||
\(630\) | 2.31710 | − | 5.02584i | 0.0923154 | − | 0.200234i | ||||
\(631\) | 10.2669 | + | 4.94426i | 0.408718 | + | 0.196828i | 0.626934 | − | 0.779072i | \(-0.284310\pi\) |
−0.218216 | + | 0.975900i | \(0.570024\pi\) | |||||||
\(632\) | 6.69181 | + | 13.8957i | 0.266186 | + | 0.552740i | ||||
\(633\) | −4.47349 | − | 3.58172i | −0.177805 | − | 0.142361i | ||||
\(634\) | 20.1114 | − | 9.68514i | 0.798726 | − | 0.384646i | ||||
\(635\) | −3.05904 | + | 7.79431i | −0.121394 | + | 0.309308i | ||||
\(636\) | 0.616850 | − | 0.418809i | 0.0244597 | − | 0.0166069i | ||||
\(637\) | −5.57973 | − | 28.8609i | −0.221077 | − | 1.14351i | ||||
\(638\) | − | 36.1588i | − | 1.43154i | ||||||
\(639\) | 26.5821 | − | 28.4264i | 1.05157 | − | 1.12453i | ||||
\(640\) | 2.90328 | − | 4.25834i | 0.114762 | − | 0.168326i | ||||
\(641\) | −28.6133 | + | 30.8378i | −1.13016 | + | 1.21802i | −0.157069 | + | 0.987588i | \(0.550205\pi\) |
−0.973088 | + | 0.230432i | \(0.925986\pi\) | |||||||
\(642\) | 0.0921550 | − | 47.4557i | 0.00363707 | − | 1.87293i | ||||
\(643\) | −22.2542 | − | 32.6409i | −0.877619 | − | 1.28723i | −0.956912 | − | 0.290379i | \(-0.906219\pi\) |
0.0792932 | − | 0.996851i | \(-0.474734\pi\) | |||||||
\(644\) | 13.2441 | − | 1.26851i | 0.521892 | − | 0.0499863i | ||||
\(645\) | −0.000476587 | 0.245421i | −1.87656e−5 | 0.00966343i | ||||||
\(646\) | 22.9557 | − | 28.7856i | 0.903181 | − | 1.13255i | ||||
\(647\) | −1.48166 | − | 19.7713i | −0.0582499 | − | 0.777291i | −0.947477 | − | 0.319824i | \(-0.896376\pi\) |
0.889227 | − | 0.457466i | \(-0.151243\pi\) | |||||||
\(648\) | −9.48097 | + | 13.6766i | −0.372448 | + | 0.537266i | ||||
\(649\) | 7.36296 | − | 23.8701i | 0.289021 | − | 0.936984i | ||||
\(650\) | 12.6657 | − | 32.2717i | 0.496790 | − | 1.26580i | ||||
\(651\) | −19.7164 | − | 32.7178i | −0.772748 | − | 1.28231i | ||||
\(652\) | −8.15420 | − | 20.7766i | −0.319343 | − | 0.813673i | ||||
\(653\) | −6.40332 | + | 0.479863i | −0.250581 | + | 0.0187785i | −0.199429 | − | 0.979912i | \(-0.563909\pi\) |
−0.0511528 | + | 0.998691i | \(0.516290\pi\) | |||||||
\(654\) | −10.4735 | − | 9.75593i | −0.409547 | − | 0.381487i | ||||
\(655\) | −0.732520 | + | 1.26876i | −0.0286219 | + | 0.0495746i | ||||
\(656\) | 5.51585 | − | 9.55373i | 0.215358 | − | 0.373010i | ||||
\(657\) | −26.7135 | − | 21.4736i | −1.04219 | − | 0.837763i | ||||
\(658\) | −14.7807 | − | 3.05336i | −0.576213 | − | 0.119032i | ||||
\(659\) | −1.95317 | − | 6.33202i | −0.0760847 | − | 0.246660i | 0.909538 | − | 0.415620i | \(-0.136435\pi\) |
−0.985623 | + | 0.168960i | \(0.945959\pi\) | |||||||
\(660\) | −3.49652 | − | 0.533963i | −0.136102 | − | 0.0207845i | ||||
\(661\) | 6.14531 | + | 4.90072i | 0.239025 | + | 0.190616i | 0.735675 | − | 0.677335i | \(-0.236865\pi\) |
−0.496650 | + | 0.867951i | \(0.665437\pi\) | |||||||
\(662\) | 20.9731 | + | 16.7255i | 0.815143 | + | 0.650055i | ||||
\(663\) | 25.0568 | + | 3.82648i | 0.973124 | + | 0.148608i | ||||
\(664\) | −3.11283 | − | 10.0916i | −0.120801 | − | 0.391628i | ||||
\(665\) | −3.02242 | − | 5.95762i | −0.117204 | − | 0.231026i | ||||
\(666\) | −6.30281 | + | 40.7421i | −0.244229 | + | 1.57872i | ||||
\(667\) | −10.6400 | + | 18.4291i | −0.411984 | + | 0.713577i | ||||
\(668\) | −0.306420 | + | 0.530736i | −0.0118558 | + | 0.0205348i | ||||
\(669\) | 15.6957 | + | 14.6203i | 0.606829 | + | 0.565252i | ||||
\(670\) | 9.31492 | − | 0.698057i | 0.359867 | − | 0.0269683i | ||||
\(671\) | −2.83666 | − | 7.22769i | −0.109508 | − | 0.279022i | ||||
\(672\) | 15.9420 | − | 15.3581i | 0.614976 | − | 0.592450i | ||||
\(673\) | −6.29073 | + | 16.0285i | −0.242490 | + | 0.617854i | −0.999362 | − | 0.0357086i | \(-0.988631\pi\) |
0.756872 | + | 0.653563i | \(0.226726\pi\) | |||||||
\(674\) | −16.8374 | + | 54.5856i | −0.648553 | + | 2.10256i | ||||
\(675\) | −23.4318 | + | 9.03914i | −0.901892 | + | 0.347917i | ||||
\(676\) | 0.317738 | + | 4.23992i | 0.0122207 | + | 0.163074i | ||||
\(677\) | 24.4669 | − | 30.6805i | 0.940340 | − | 1.17915i | −0.0433104 | − | 0.999062i | \(-0.513790\pi\) |
0.983651 | − | 0.180088i | \(-0.0576381\pi\) | |||||||
\(678\) | 0.00914347 | − | 4.70848i | 0.000351153 | − | 0.180828i | ||||
\(679\) | −33.2414 | + | 20.1201i | −1.27569 | + | 0.772138i | ||||
\(680\) | 1.48177 | + | 2.17336i | 0.0568232 | + | 0.0833444i | ||||
\(681\) | −0.0152497 | + | 7.85291i | −0.000584370 | + | 0.300924i | ||||
\(682\) | −52.8054 | + | 56.9107i | −2.02202 | + | 2.17922i | ||||
\(683\) | −22.9053 | + | 33.5959i | −0.876447 | + | 1.28551i | 0.0809452 | + | 0.996719i | \(0.474206\pi\) |
−0.957392 | + | 0.288792i | \(0.906746\pi\) | |||||||
\(684\) | −4.95485 | − | 16.2875i | −0.189453 | − | 0.622770i | ||||
\(685\) | 6.97940i | 0.266669i | ||||||||
\(686\) | 23.4612 | − | 21.2193i | 0.895754 | − | 0.810156i | ||||
\(687\) | 37.7860 | − | 25.6547i | 1.44163 | − | 0.978788i | ||||
\(688\) | −0.633200 | + | 1.61337i | −0.0241405 | + | 0.0615091i | ||||
\(689\) | 1.77519 | − | 0.854886i | 0.0676293 | − | 0.0325685i | ||||
\(690\) | 5.16727 | + | 4.13720i | 0.196715 | + | 0.157501i | ||||
\(691\) | 1.06597 | + | 2.21352i | 0.0405516 | + | 0.0842062i | 0.920260 | − | 0.391307i | \(-0.127977\pi\) |
−0.879709 | + | 0.475513i | \(0.842263\pi\) | |||||||
\(692\) | 12.3542 | + | 5.94948i | 0.469637 | + | 0.226165i | ||||
\(693\) | 40.5476 | + | 15.1325i | 1.54028 | + | 0.574837i | ||||
\(694\) | 18.4329 | − | 8.87680i | 0.699702 | − | 0.336959i | ||||
\(695\) | −0.726501 | − | 0.579365i | −0.0275578 | − | 0.0219766i | ||||
\(696\) | 1.82931 | + | 12.2987i | 0.0693397 | + | 0.466180i | ||||
\(697\) | 4.80048 | + | 6.01961i | 0.181831 | + | 0.228009i | ||||
\(698\) | −14.0273 | + | 13.0154i | −0.530940 | + | 0.492640i | ||||
\(699\) | −8.42897 | − | 37.2631i | −0.318813 | − | 1.40942i | ||||
\(700\) | 11.5626 | − | 1.98822i | 0.437025 | − | 0.0751478i | ||||
\(701\) | 2.13883 | + | 1.70566i | 0.0807825 | + | 0.0644219i | 0.663048 | − | 0.748577i | \(-0.269262\pi\) |
−0.582266 | + | 0.812998i | \(0.697834\pi\) | |||||||
\(702\) | 25.5090 | − | 27.1730i | 0.962776 | − | 1.02558i | ||||
\(703\) | 33.8488 | + | 36.4804i | 1.27663 | + | 1.37588i | ||||
\(704\) | 8.19545 | + | 4.73165i | 0.308878 | + | 0.178331i | ||||
\(705\) | −1.32642 | − | 1.95365i | −0.0499560 | − | 0.0735785i | ||||
\(706\) | −8.45002 | + | 27.3943i | −0.318021 | + | 1.03100i | ||||
\(707\) | 1.39277 | − | 25.7136i | 0.0523804 | − | 0.967059i | ||||
\(708\) | 1.09899 | − | 7.19648i | 0.0413026 | − | 0.270460i | ||||
\(709\) | 3.74676 | − | 16.4156i | 0.140712 | − | 0.616501i | −0.854558 | − | 0.519356i | \(-0.826172\pi\) |
0.995270 | − | 0.0971451i | \(-0.0309711\pi\) | |||||||
\(710\) | −8.94434 | − | 1.34814i | −0.335675 | − | 0.0505949i | ||||
\(711\) | −12.5957 | + | 21.6220i | −0.472375 | + | 0.810888i | ||||
\(712\) | −14.3198 | + | 15.4331i | −0.536658 | + | 0.578379i | ||||
\(713\) | 43.6599 | − | 13.4673i | 1.63508 | − | 0.504354i | ||||
\(714\) | 10.4398 | + | 25.2005i | 0.390698 | + | 0.943105i | ||||
\(715\) | −8.93184 | − | 2.75511i | −0.334032 | − | 0.103035i | ||||
\(716\) | 5.05476 | − | 2.91837i | 0.188905 | − | 0.109064i | ||||
\(717\) | −5.08039 | − | 2.45875i | −0.189731 | − | 0.0918237i | ||||
\(718\) | −5.12801 | − | 1.58178i | −0.191375 | − | 0.0590315i | ||||
\(719\) | 4.92438 | − | 3.35738i | 0.183648 | − | 0.125209i | −0.468006 | − | 0.883725i | \(-0.655028\pi\) |
0.651655 | + | 0.758516i | \(0.274075\pi\) | |||||||
\(720\) | 6.11480 | + | 0.0237490i | 0.227885 | + | 0.000885072i | ||||
\(721\) | −0.103520 | + | 0.158798i | −0.00385530 | + | 0.00591394i | ||||
\(722\) | −30.6221 | − | 12.0183i | −1.13964 | − | 0.447275i | ||||
\(723\) | 2.34921 | − | 10.2012i | 0.0873682 | − | 0.379388i | ||||
\(724\) | −8.89651 | + | 7.09473i | −0.330636 | + | 0.263674i | ||||
\(725\) | −8.14186 | + | 16.9067i | −0.302381 | + | 0.627901i | ||||
\(726\) | 4.24861 | − | 55.2537i | 0.157681 | − | 2.05066i | ||||
\(727\) | −0.716708 | + | 1.05122i | −0.0265812 | + | 0.0389875i | −0.839299 | − | 0.543669i | \(-0.817035\pi\) |
0.812718 | + | 0.582657i | \(0.197987\pi\) | |||||||
\(728\) | 16.7309 | − | 11.9213i | 0.620088 | − | 0.441832i | ||||
\(729\) | −26.9982 | − | 0.314583i | −0.999932 | − | 0.0116512i | ||||
\(730\) | −0.595293 | + | 7.94364i | −0.0220328 | + | 0.294007i | ||||
\(731\) | −0.886727 | − | 0.822762i | −0.0327968 | − | 0.0304310i | ||||
\(732\) | −1.12759 | − | 1.96182i | −0.0416768 | − | 0.0725111i | ||||
\(733\) | −0.896626 | − | 0.351900i | −0.0331176 | − | 0.0129977i | 0.348724 | − | 0.937225i | \(-0.386615\pi\) |
−0.381842 | + | 0.924228i | \(0.624710\pi\) | |||||||
\(734\) | 19.3256 | − | 33.4729i | 0.713321 | − | 1.23551i | ||||
\(735\) | 4.94622 | + | 0.174999i | 0.182444 | + | 0.00645495i | ||||
\(736\) | 13.2385 | + | 22.9298i | 0.487978 | + | 0.845202i | ||||
\(737\) | 10.8875 | + | 72.2335i | 0.401044 | + | 2.66076i | ||||
\(738\) | 11.2926 | − | 0.802173i | 0.415687 | − | 0.0295284i | ||||
\(739\) | −25.1533 | + | 7.75878i | −0.925281 | + | 0.285411i | −0.720547 | − | 0.693406i | \(-0.756109\pi\) |
−0.204734 | + | 0.978818i | \(0.565633\pi\) | |||||||
\(740\) | 2.71479 | − | 1.30738i | 0.0997978 | − | 0.0480601i | ||||
\(741\) | −6.61891 | − | 44.4998i | −0.243152 | − | 1.63474i | ||||
\(742\) | 1.77624 | + | 1.15793i | 0.0652079 | + | 0.0425091i | ||||
\(743\) | 35.8448 | + | 2.68620i | 1.31502 | + | 0.0985471i | 0.713694 | − | 0.700457i | \(-0.247021\pi\) |
0.601325 | + | 0.799004i | \(0.294640\pi\) | |||||||
\(744\) | 15.0815 | − | 22.0285i | 0.552915 | − | 0.807603i | ||||
\(745\) | 0.445218 | + | 0.653014i | 0.0163115 | + | 0.0239246i | ||||
\(746\) | −22.7847 | − | 8.94234i | −0.834208 | − | 0.327402i | ||||
\(747\) | 10.7350 | − | 13.3546i | 0.392775 | − | 0.488619i | ||||
\(748\) | 13.6301 | − | 10.8696i | 0.498366 | − | 0.397433i | ||||
\(749\) | 39.1771 | − | 16.3190i | 1.43150 | − | 0.596283i | ||||
\(750\) | 9.79898 | + | 6.70874i | 0.357808 | + | 0.244969i | ||||
\(751\) | 0.137791 | + | 1.83869i | 0.00502807 | + | 0.0670949i | 0.999153 | − | 0.0411403i | \(-0.0130991\pi\) |
−0.994125 | + | 0.108235i | \(0.965480\pi\) | |||||||
\(752\) | −3.71080 | − | 16.2581i | −0.135319 | − | 0.592871i | ||||
\(753\) | 28.9161 | − | 2.11050i | 1.05376 | − | 0.0769109i | ||||
\(754\) | − | 27.8473i | − | 1.01414i | ||||||
\(755\) | −0.454425 | − | 1.99096i | −0.0165382 | − | 0.0724586i | ||||
\(756\) | 12.3370 | + | 2.62358i | 0.448694 | + | 0.0954186i | ||||
\(757\) | −10.4833 | + | 45.9301i | −0.381020 | + | 1.66936i | 0.313270 | + | 0.949664i | \(0.398575\pi\) |
−0.694291 | + | 0.719695i | \(0.744282\pi\) | |||||||
\(758\) | −29.0296 | − | 6.62582i | −1.05440 | − | 0.240660i | ||||
\(759\) | −29.2438 | + | 42.7143i | −1.06148 | + | 1.55043i | ||||
\(760\) | 2.91094 | − | 3.65020i | 0.105591 | − | 0.132407i | ||||
\(761\) | −41.3720 | + | 12.7616i | −1.49973 | + | 0.462607i | −0.932567 | − | 0.360996i | \(-0.882437\pi\) |
−0.567167 | + | 0.823603i | \(0.691961\pi\) | |||||||
\(762\) | −59.9870 | − | 9.16076i | −2.17310 | − | 0.331859i | ||||
\(763\) | 4.42907 | − | 12.0099i | 0.160343 | − | 0.434787i | ||||
\(764\) | 15.9100 | − | 3.63135i | 0.575603 | − | 0.131378i | ||||
\(765\) | −1.57460 | + | 3.96665i | −0.0569298 | + | 0.143414i | ||||
\(766\) | 28.5922 | − | 16.5077i | 1.03308 | − | 0.596448i | ||||
\(767\) | 5.67050 | − | 18.3833i | 0.204750 | − | 0.663783i | ||||
\(768\) | 29.1510 | + | 11.5063i | 1.05190 | + | 0.415198i | ||||
\(769\) | 15.4189 | − | 6.05145i | 0.556018 | − | 0.218221i | −0.0706584 | − | 0.997501i | \(-0.522510\pi\) |
0.626676 | + | 0.779280i | \(0.284415\pi\) | |||||||
\(770\) | −2.44069 | − | 9.75825i | −0.0879564 | − | 0.351663i | ||||
\(771\) | 8.39516 | − | 27.0300i | 0.302344 | − | 0.973461i | ||||
\(772\) | −1.21381 | − | 5.31807i | −0.0436861 | − | 0.191401i | ||||
\(773\) | 4.70513 | − | 11.9885i | 0.169232 | − | 0.431196i | −0.820947 | − | 0.571005i | \(-0.806554\pi\) |
0.990178 | + | 0.139809i | \(0.0446489\pi\) | |||||||
\(774\) | −1.73557 | + | 0.389047i | −0.0623838 | + | 0.0139840i | ||||
\(775\) | 37.5048 | − | 14.7195i | 1.34721 | − | 0.528741i | ||||
\(776\) | −22.4370 | − | 15.2973i | −0.805443 | − | 0.549141i | ||||
\(777\) | −35.7848 | + | 8.87654i | −1.28377 | + | 0.318444i | ||||
\(778\) | 12.1060 | − | 8.25371i | 0.434020 | − | 0.295910i | ||||
\(779\) | 7.69819 | − | 11.2912i | 0.275816 | − | 0.404548i | ||||
\(780\) | −2.69281 | − | 0.411226i | −0.0964181 | − | 0.0147242i | ||||
\(781\) | 5.28620 | − | 70.5394i | 0.189155 | − | 2.52410i | ||||
\(782\) | −32.2617 | + | 4.86267i | −1.15368 | + | 0.173889i | ||||
\(783\) | −14.8680 | + | 13.6351i | −0.531338 | + | 0.487280i | ||||
\(784\) | 32.0913 | + | 13.8497i | 1.14612 | + | 0.494631i | ||||
\(785\) | −2.26601 | + | 1.30828i | −0.0808775 | + | 0.0466946i | ||||
\(786\) | −10.1398 | − | 3.14928i | −0.361674 | − | 0.112331i | ||||
\(787\) | 3.95297 | + | 8.20842i | 0.140908 | + | 0.292598i | 0.959465 | − | 0.281826i | \(-0.0909401\pi\) |
−0.818557 | + | 0.574425i | \(0.805226\pi\) | |||||||
\(788\) | −16.4190 | − | 3.74753i | −0.584903 | − | 0.133500i | ||||
\(789\) | −1.57567 | − | 0.00305982i | −0.0560953 | − | 0.000108932i | ||||
\(790\) | 5.79956 | − | 0.434617i | 0.206339 | − | 0.0154630i | ||||
\(791\) | 3.88709 | − | 1.61914i | 0.138209 | − | 0.0575702i | ||||
\(792\) | 2.14319 | + | 30.1708i | 0.0761548 | + | 1.07207i | ||||
\(793\) | −2.18462 | − | 5.56633i | −0.0775782 | − | 0.197666i | ||||
\(794\) | −7.64756 | + | 5.21402i | −0.271402 | + | 0.185039i | ||||
\(795\) | 0.0731916 | + | 0.323569i | 0.00259584 | + | 0.0114758i | ||||
\(796\) | −5.95355 | − | 6.41640i | −0.211018 | − | 0.227423i | ||||
\(797\) | −2.54629 | + | 0.383791i | −0.0901941 | + | 0.0135946i | −0.193984 | − | 0.981005i | \(-0.562141\pi\) |
0.103790 | + | 0.994599i | \(0.466903\pi\) | |||||||
\(798\) | 37.2799 | − | 30.8906i | 1.31970 | − | 1.09351i | ||||
\(799\) | 11.5088 | + | 1.73468i | 0.407153 | + | 0.0613685i | ||||
\(800\) | 13.1523 | + | 19.2908i | 0.465003 | + | 0.682034i | ||||
\(801\) | −33.7564 | − | 5.22212i | −1.19272 | − | 0.184514i | ||||
\(802\) | 5.19200 | + | 8.99282i | 0.183336 | + | 0.317547i | ||||
\(803\) | −62.2956 | −2.19836 | ||||||||
\(804\) | 6.23548 | + | 20.3552i | 0.219908 | + | 0.717871i | ||||
\(805\) | −1.62750 | + | 5.69170i | −0.0573619 | + | 0.200606i | ||||
\(806\) | −40.6675 | + | 43.8291i | −1.43245 | + | 1.54382i | ||||
\(807\) | 30.6551 | − | 11.9626i | 1.07911 | − | 0.421103i | ||||
\(808\) | 16.7528 | − | 6.57501i | 0.589363 | − | 0.231308i | ||||
\(809\) | 5.83620 | − | 38.7207i | 0.205190 | − | 1.36135i | −0.614671 | − | 0.788784i | \(-0.710711\pi\) |
0.819861 | − | 0.572563i | \(-0.194051\pi\) | |||||||
\(810\) | 3.49460 | + | 5.21216i | 0.122788 | + | 0.183137i | ||||
\(811\) | −4.31762 | − | 0.985469i | −0.151612 | − | 0.0346045i | 0.146041 | − | 0.989279i | \(-0.453347\pi\) |
−0.297653 | + | 0.954674i | \(0.596204\pi\) | |||||||
\(812\) | 8.06219 | − | 4.87982i | 0.282927 | − | 0.171248i | ||||
\(813\) | 0.0475082 | − | 0.206300i | 0.00166619 | − | 0.00723524i | ||||
\(814\) | 37.4661 | + | 64.8931i | 1.31319 | + | 2.27450i | ||||
\(815\) | 9.93081 | 0.347861 | ||||||||
\(816\) | −20.5426 | + | 22.0536i | −0.719135 | + | 0.772030i | ||||
\(817\) | −0.931552 | + | 1.93439i | −0.0325909 | + | 0.0676757i | ||||
\(818\) | −34.7987 | + | 43.6362i | −1.21671 | + | 1.52570i | ||||
\(819\) | 31.2273 | + | 11.6541i | 1.09117 | + | 0.407229i | ||||
\(820\) | −0.515900 | − | 0.646918i | −0.0180160 | − | 0.0225914i | ||||
\(821\) | 15.6523 | − | 3.57254i | 0.546269 | − | 0.124682i | 0.0595248 | − | 0.998227i | \(-0.481041\pi\) |
0.486744 | + | 0.873544i | \(0.338184\pi\) | |||||||
\(822\) | −49.3354 | + | 11.1597i | −1.72077 | + | 0.389240i | ||||
\(823\) | −27.4502 | − | 13.2193i | −0.956855 | − | 0.460797i | −0.110770 | − | 0.993846i | \(-0.535332\pi\) |
−0.846084 | + | 0.533049i | \(0.821046\pi\) | |||||||
\(824\) | −0.130999 | − | 0.0197450i | −0.00456358 | − | 0.000687849i | ||||
\(825\) | −22.9007 | + | 39.4878i | −0.797298 | + | 1.37479i | ||||
\(826\) | 20.0842 | − | 5.02338i | 0.698820 | − | 0.174786i | ||||
\(827\) | 0.407039 | − | 0.845226i | 0.0141541 | − | 0.0293914i | −0.893772 | − | 0.448522i | \(-0.851951\pi\) |
0.907926 | + | 0.419130i | \(0.137665\pi\) | |||||||
\(828\) | −6.59838 | + | 13.5666i | −0.229309 | + | 0.471473i | ||||
\(829\) | −4.08483 | − | 13.2427i | −0.141872 | − | 0.459938i | 0.856552 | − | 0.516061i | \(-0.172602\pi\) |
−0.998424 | + | 0.0561230i | \(0.982126\pi\) | |||||||
\(830\) | −3.97118 | − | 0.297599i | −0.137842 | − | 0.0103298i | ||||
\(831\) | −7.82679 | + | 1.77043i | −0.271508 | + | 0.0614155i | ||||
\(832\) | 6.31164 | + | 3.64403i | 0.218817 | + | 0.126334i | ||||
\(833\) | −17.1807 | + | 17.3178i | −0.595275 | + | 0.600027i | ||||
\(834\) | 2.93373 | − | 6.06180i | 0.101587 | − | 0.209903i | ||||
\(835\) | −0.170012 | − | 0.213188i | −0.00588350 | − | 0.00737768i | ||||
\(836\) | −25.5664 | − | 17.4309i | −0.884233 | − | 0.602860i | ||||
\(837\) | 43.3133 | + | 0.252335i | 1.49713 | + | 0.00872197i | ||||
\(838\) | −55.4021 | − | 4.15181i | −1.91383 | − | 0.143422i | ||||
\(839\) | 3.76124 | + | 50.1902i | 0.129852 | + | 1.73276i | 0.558689 | + | 0.829377i | \(0.311305\pi\) |
−0.428836 | + | 0.903382i | \(0.641076\pi\) | |||||||
\(840\) | 1.32383 | + | 3.19559i | 0.0456765 | + | 0.110258i | ||||
\(841\) | 1.04076 | − | 13.8880i | 0.0358883 | − | 0.478896i | ||||
\(842\) | 0.585424 | − | 3.88403i | 0.0201750 | − | 0.133853i | ||||
\(843\) | 21.9406 | − | 3.26345i | 0.755673 | − | 0.112399i | ||||
\(844\) | −3.00160 | + | 0.452419i | −0.103319 | + | 0.0155729i | ||||
\(845\) | −1.80776 | − | 0.557619i | −0.0621887 | − | 0.0191827i | ||||
\(846\) | 11.6889 | − | 12.4999i | 0.401871 | − | 0.429755i | ||||
\(847\) | 47.0455 | − | 15.5845i | 1.61650 | − | 0.535490i | ||||
\(848\) | −0.349174 | + | 2.31662i | −0.0119907 | + | 0.0795530i | ||||
\(849\) | −4.21697 | + | 10.6836i | −0.144726 | + | 0.366660i | ||||
\(850\) | −28.0488 | + | 6.40196i | −0.962066 | + | 0.219585i | ||||
\(851\) | − | 44.0989i | − | 1.51169i | ||||||
\(852\) | −1.50064 | − | 20.5603i | −0.0514109 | − | 0.704384i | ||||
\(853\) | 16.9712 | + | 18.2906i | 0.581081 | + | 0.626257i | 0.953350 | − | 0.301868i | \(-0.0976103\pi\) |
−0.372268 | + | 0.928125i | \(0.621420\pi\) | |||||||
\(854\) | 3.90723 | − | 5.11301i | 0.133703 | − | 0.174964i | ||||
\(855\) | 7.55146 | + | 0.595406i | 0.258255 | + | 0.0203625i | ||||
\(856\) | 21.7425 | + | 20.1741i | 0.743142 | + | 0.689535i | ||||
\(857\) | −8.70764 | − | 22.1867i | −0.297447 | − | 0.757883i | −0.998976 | − | 0.0452423i | \(-0.985594\pi\) |
0.701529 | − | 0.712641i | \(-0.252501\pi\) | |||||||
\(858\) | 5.19348 | − | 67.5418i | 0.177302 | − | 2.30584i | ||||
\(859\) | −2.43467 | − | 7.89301i | −0.0830699 | − | 0.269306i | 0.904503 | − | 0.426467i | \(-0.140242\pi\) |
−0.987573 | + | 0.157161i | \(0.949766\pi\) | |||||||
\(860\) | 0.0952952 | + | 0.0884210i | 0.00324954 | + | 0.00301513i | ||||
\(861\) | 4.56308 | + | 9.03792i | 0.155509 | + | 0.308012i | ||||
\(862\) | 24.5263 | − | 22.7571i | 0.835370 | − | 0.775110i | ||||
\(863\) | 28.0911 | + | 16.2184i | 0.956233 | + | 0.552081i | 0.895012 | − | 0.446043i | \(-0.147167\pi\) |
0.0612212 | + | 0.998124i | \(0.480500\pi\) | |||||||
\(864\) | 5.44268 | + | 24.5031i | 0.185164 | + | 0.833611i | ||||
\(865\) | −4.47241 | + | 4.14979i | −0.152067 | + | 0.141097i | ||||
\(866\) | 54.5671 | + | 26.2781i | 1.85426 | + | 0.892967i | ||||
\(867\) | 3.63420 | + | 7.58414i | 0.123424 | + | 0.257571i | ||||
\(868\) | −19.8155 | − | 4.09343i | −0.672583 | − | 0.138940i | ||||
\(869\) | 6.77863 | + | 44.9733i | 0.229949 | + | 1.52561i | ||||
\(870\) | 4.56909 | + | 1.05220i | 0.154907 | + | 0.0356730i | ||||
\(871\) | 8.38485 | + | 55.6299i | 0.284110 | + | 1.88495i | ||||
\(872\) | 8.92096 | − | 0.668534i | 0.302102 | − | 0.0226394i | ||||
\(873\) | 0.171117 | − | 44.0585i | 0.00579142 | − | 1.49115i | ||||
\(874\) | 25.1256 | + | 52.1739i | 0.849887 | + | 1.76481i | ||||
\(875\) | −2.14855 | + | 10.4007i | −0.0726342 | + | 0.351609i | ||||
\(876\) | −17.9573 | + | 2.67097i | −0.606720 | + | 0.0902437i | ||||
\(877\) | −11.1930 | − | 7.63128i | −0.377962 | − | 0.257690i | 0.359406 | − | 0.933181i | \(-0.382979\pi\) |
−0.737368 | + | 0.675491i | \(0.763932\pi\) | |||||||
\(878\) | 1.24144 | − | 5.43910i | 0.0418966 | − | 0.183561i | ||||
\(879\) | −0.0588035 | + | 30.2811i | −0.00198339 | + | 1.02136i | ||||
\(880\) | 8.68937 | − | 6.92954i | 0.292918 | − | 0.233595i | ||||
\(881\) | 39.6640 | 1.33631 | 0.668156 | − | 0.744021i | \(-0.267084\pi\) | ||||
0.668156 | + | 0.744021i | \(0.267084\pi\) | |||||||
\(882\) | 6.67175 | + | 35.2432i | 0.224649 | + | 1.18670i | ||||
\(883\) | 6.53653 | 0.219972 | 0.109986 | − | 0.993933i | \(-0.464919\pi\) | ||||
0.109986 | + | 0.993933i | \(0.464919\pi\) | |||||||
\(884\) | 10.4971 | − | 8.37114i | 0.353055 | − | 0.281552i | ||||
\(885\) | 2.80202 | + | 1.62501i | 0.0941887 | + | 0.0546240i | ||||
\(886\) | −1.87730 | + | 8.22501i | −0.0630693 | + | 0.276325i | ||||
\(887\) | −1.48476 | − | 1.01229i | −0.0498534 | − | 0.0339895i | 0.538137 | − | 0.842857i | \(-0.319128\pi\) |
−0.587990 | + | 0.808868i | \(0.700081\pi\) | |||||||
\(888\) | −16.0263 | − | 20.1766i | −0.537808 | − | 0.677083i | ||||
\(889\) | −13.1678 | − | 52.6469i | −0.441635 | − | 1.76572i | ||||
\(890\) | 3.44455 | + | 7.15268i | 0.115462 | + | 0.239758i | ||||
\(891\) | −38.6042 | + | 30.2983i | −1.29329 | + | 1.01503i | ||||
\(892\) | 11.3302 | − | 0.849080i | 0.379362 | − | 0.0284293i | ||||
\(893\) | −3.07891 | − | 20.4273i | −0.103032 | − | 0.683572i | ||||
\(894\) | −3.90409 | + | 4.19125i | −0.130572 | + | 0.140176i | ||||
\(895\) | 0.387063 | + | 2.56799i | 0.0129381 | + | 0.0858385i | ||||
\(896\) | 0.691011 | + | 33.3967i | 0.0230851 | + | 1.11571i | ||||
\(897\) | −22.5218 | + | 32.8959i | −0.751980 | + | 1.09836i | ||||
\(898\) | −41.9550 | − | 20.2044i | −1.40005 | − | 0.674231i | ||||
\(899\) | 23.7237 | − | 22.0124i | 0.791229 | − | 0.734153i | ||||
\(900\) | −4.90826 | + | 12.3646i | −0.163609 | + | 0.412154i | ||||
\(901\) | −1.41604 | − | 0.817552i | −0.0471752 | − | 0.0272366i | ||||
\(902\) | 15.0838 | − | 13.9958i | 0.502237 | − | 0.466008i | ||||
\(903\) | −0.920523 | − | 1.29723i | −0.0306331 | − | 0.0431691i | ||||
\(904\) | 2.15725 | + | 2.00164i | 0.0717492 | + | 0.0665735i | ||||
\(905\) | −1.49235 | − | 4.83807i | −0.0496073 | − | 0.160823i | ||||
\(906\) | 13.3469 | − | 6.39565i | 0.443422 | − | 0.212481i | ||||
\(907\) | 19.2501 | + | 49.0485i | 0.639189 | + | 1.62863i | 0.770614 | + | 0.637302i | \(0.219950\pi\) |
−0.131425 | + | 0.991326i | \(0.541955\pi\) | |||||||
\(908\) | 3.04923 | + | 2.82927i | 0.101192 | + | 0.0938928i | ||||
\(909\) | 24.0614 | + | 16.5421i | 0.798068 | + | 0.548666i | ||||
\(910\) | −1.87967 | − | 7.51521i | −0.0623105 | − | 0.249127i | ||||
\(911\) | −26.7179 | − | 28.7950i | −0.885203 | − | 0.954022i | 0.114018 | − | 0.993479i | \(-0.463628\pi\) |
−0.999221 | + | 0.0394563i | \(0.987437\pi\) | |||||||
\(912\) | 48.1515 | + | 23.3039i | 1.59446 | + | 0.771668i | ||||
\(913\) | − | 31.1427i | − | 1.03067i | ||||||
\(914\) | 10.5560 | − | 2.40933i | 0.349160 | − | 0.0796936i | ||||
\(915\) | 0.995849 | − | 0.148123i | 0.0329218 | − | 0.00489679i | ||||
\(916\) | 3.60566 | − | 23.9220i | 0.119134 | − | 0.790405i | ||||
\(917\) | −0.905315 | − | 9.45211i | −0.0298961 | − | 0.312136i | ||||
\(918\) | −30.5568 | − | 4.78792i | −1.00852 | − | 0.158025i | ||||
\(919\) | −14.2043 | − | 4.38145i | −0.468557 | − | 0.144531i | 0.0514806 | − | 0.998674i | \(-0.483606\pi\) |
−0.520038 | + | 0.854143i | \(0.674082\pi\) | |||||||
\(920\) | −4.09100 | + | 0.616619i | −0.134876 | + | 0.0203293i | ||||
\(921\) | 8.64874 | − | 21.9114i | 0.284986 | − | 0.722006i | ||||
\(922\) | −7.24296 | + | 48.0539i | −0.238534 | + | 1.58257i | ||||
\(923\) | 4.07111 | − | 54.3252i | 0.134002 | − | 1.78813i | ||||
\(924\) | 20.4644 | − | 10.3321i | 0.673230 | − | 0.339901i | ||||
\(925\) | −2.90603 | − | 38.7783i | −0.0955498 | − | 1.27502i | ||||
\(926\) | 15.9438 | + | 1.19483i | 0.523947 | + | 0.0392644i | ||||
\(927\) | −0.0925068 | − | 0.194016i | −0.00303832 | − | 0.00637233i | ||||
\(928\) | 15.4954 | + | 10.5646i | 0.508661 | + | 0.346799i | ||||
\(929\) | −31.9887 | − | 40.1126i | −1.04952 | − | 1.31605i | −0.946970 | − | 0.321322i | \(-0.895873\pi\) |
−0.102545 | − | 0.994728i | \(-0.532699\pi\) | |||||||
\(930\) | −5.65472 | − | 8.32866i | −0.185426 | − | 0.273108i | ||||
\(931\) | 38.3605 | + | 20.0794i | 1.25721 | + | 0.658075i | ||||
\(932\) | −17.5255 | − | 10.1183i | −0.574066 | − | 0.331437i | ||||
\(933\) | −22.2621 | − | 24.0865i | −0.728828 | − | 0.788555i | ||||
\(934\) | 3.57456 | + | 0.267876i | 0.116963 | + | 0.00876518i | ||||
\(935\) | 2.28638 | + | 7.41227i | 0.0747727 | + | 0.242407i | ||||
\(936\) | 1.65055 | + | 23.2357i | 0.0539500 | + | 0.759483i | ||||
\(937\) | −20.6211 | + | 42.8202i | −0.673663 | + | 1.39888i | 0.231087 | + | 0.972933i | \(0.425772\pi\) |
−0.904750 | + | 0.425943i | \(0.859942\pi\) | |||||||
\(938\) | −46.5427 | + | 38.7185i | −1.51967 | + | 1.26420i | ||||
\(939\) | −8.46728 | − | 14.7317i | −0.276319 | − | 0.480752i | ||||
\(940\) | −1.23684 | − | 0.186423i | −0.0403412 | − | 0.00608045i | ||||
\(941\) | −28.7520 | − | 13.8462i | −0.937288 | − | 0.451374i | −0.0980762 | − | 0.995179i | \(-0.531269\pi\) |
−0.839212 | + | 0.543805i | \(0.816983\pi\) | |||||||
\(942\) | −12.8711 | − | 13.9259i | −0.419364 | − | 0.453731i | ||||
\(943\) | −11.8062 | + | 2.69468i | −0.384462 | + | 0.0877510i | ||||
\(944\) | 14.2622 | + | 17.8843i | 0.464196 | + | 0.582084i | ||||
\(945\) | −3.09209 | + | 4.68332i | −0.100586 | + | 0.152348i | ||||
\(946\) | −2.01561 | + | 2.52750i | −0.0655332 | + | 0.0821760i | ||||
\(947\) | −7.24419 | + | 15.0427i | −0.235404 | + | 0.488822i | −0.984886 | − | 0.173203i | \(-0.944588\pi\) |
0.749482 | + | 0.662025i | \(0.230303\pi\) | |||||||
\(948\) | 3.88227 | + | 12.6733i | 0.126090 | + | 0.411610i | ||||
\(949\) | −47.9763 | −1.55738 | ||||||||
\(950\) | 25.5323 | + | 44.2233i | 0.828378 | + | 1.43479i | ||||
\(951\) | −21.6428 | + | 6.62993i | −0.701817 | + | 0.214990i | ||||
\(952\) | −15.9955 | − | 5.89891i | −0.518417 | − | 0.191185i | ||||
\(953\) | −31.2842 | − | 7.14042i | −1.01340 | − | 0.231301i | −0.316591 | − | 0.948562i | \(-0.602538\pi\) |
−0.696804 | + | 0.717261i | \(0.745395\pi\) | |||||||
\(954\) | −2.17018 | + | 1.03474i | −0.0702622 | + | 0.0335010i | ||||
\(955\) | −1.08220 | + | 7.17995i | −0.0350193 | + | 0.232338i | ||||
\(956\) | −2.78297 | + | 1.09224i | −0.0900078 | + | 0.0353255i | ||||
\(957\) | −5.53529 | + | 36.2465i | −0.178930 | + | 1.17168i | ||||
\(958\) | 32.6142 | − | 35.1497i | 1.05372 | − | 1.13564i | ||||
\(959\) | −26.2498 | − | 36.8403i | −0.847652 | − | 1.18963i | ||||
\(960\) | −0.836384 | + | 0.897904i | −0.0269942 | + | 0.0289797i | ||||
\(961\) | −38.4853 | −1.24146 | ||||||||
\(962\) | 28.8541 | + | 49.9768i | 0.930293 | + | 1.61132i | ||||
\(963\) | −7.35703 | + | 47.5567i | −0.237077 | + | 1.53249i | ||||
\(964\) | −3.12358 | − | 4.58145i | −0.100604 | − | 0.147559i | ||||
\(965\) | 2.39997 | + | 0.361737i | 0.0772577 | + | 0.0116447i | ||||
\(966\) | −42.8353 | − | 2.40359i | −1.37820 | − | 0.0773344i | ||||
\(967\) | 12.3356 | − | 1.85930i | 0.396688 | − | 0.0597910i | 0.0523306 | − | 0.998630i | \(-0.483335\pi\) |
0.344357 | + | 0.938839i | \(0.388097\pi\) | |||||||
\(968\) | 23.5584 | + | 25.3899i | 0.757197 | + | 0.816064i | ||||
\(969\) | −27.4180 | + | 25.3413i | −0.880793 | + | 0.814079i | ||||
\(970\) | −8.46070 | + | 5.76841i | −0.271657 | + | 0.185212i | ||||
\(971\) | −6.16807 | − | 15.7160i | −0.197943 | − | 0.504350i | 0.797094 | − | 0.603855i | \(-0.206369\pi\) |
−0.995037 | + | 0.0995050i | \(0.968274\pi\) | |||||||
\(972\) | −9.82897 | + | 10.3889i | −0.315264 | + | 0.333226i | ||||
\(973\) | 6.01381 | + | 0.325736i | 0.192794 | + | 0.0104426i | ||||
\(974\) | −33.4202 | + | 2.50450i | −1.07085 | + | 0.0802494i | ||||
\(975\) | −17.6367 | + | 30.4111i | −0.564826 | + | 0.973935i | ||||
\(976\) | 6.93184 | + | 1.58215i | 0.221883 | + | 0.0506433i | ||||
\(977\) | −14.0200 | − | 29.1129i | −0.448541 | − | 0.931404i | −0.995546 | − | 0.0942754i | \(-0.969947\pi\) |
0.547005 | − | 0.837129i | \(-0.315768\pi\) | |||||||
\(978\) | 15.8789 | + | 70.1980i | 0.507751 | + | 2.24469i | ||||
\(979\) | −53.7664 | + | 31.0421i | −1.71838 | + | 0.992109i | ||||
\(980\) | 1.84638 | − | 1.86112i | 0.0589804 | − | 0.0594513i | ||||
\(981\) | 9.00548 | + | 11.3829i | 0.287523 | + | 0.363429i | ||||
\(982\) | −5.06570 | + | 0.763532i | −0.161653 | + | 0.0243653i | ||||
\(983\) | −2.89053 | + | 38.5714i | −0.0921935 | + | 1.23024i | 0.738788 | + | 0.673937i | \(0.235398\pi\) |
−0.830982 | + | 0.556299i | \(0.812221\pi\) | |||||||
\(984\) | −4.42240 | + | 5.52348i | −0.140981 | + | 0.176082i | ||||
\(985\) | 4.22116 | − | 6.19130i | 0.134497 | − | 0.197271i | ||||
\(986\) | −19.0941 | + | 13.0181i | −0.608080 | + | 0.414582i | ||||
\(987\) | 14.3492 | + | 5.32344i | 0.456739 | + | 0.169447i | ||||
\(988\) | −19.6897 | − | 13.4242i | −0.626413 | − | 0.427081i | ||||
\(989\) | 1.77104 | − | 0.695081i | 0.0563158 | − | 0.0221023i | ||||
\(990\) | 10.8858 | + | 3.40418i | 0.345973 | + | 0.108192i | ||||
\(991\) | 19.0052 | − | 48.4246i | 0.603721 | − | 1.53826i | −0.222513 | − | 0.974930i | \(-0.571426\pi\) |
0.826234 | − | 0.563327i | \(-0.190479\pi\) | |||||||
\(992\) | −8.96011 | − | 39.2568i | −0.284484 | − | 1.24641i | ||||
\(993\) | −18.4636 | − | 19.9767i | −0.585925 | − | 0.633941i | ||||
\(994\) | 52.2825 | − | 26.5240i | 1.65830 | − | 0.841290i | ||||
\(995\) | 3.62534 | − | 1.42284i | 0.114931 | − | 0.0451072i | ||||
\(996\) | −1.33527 | − | 8.97718i | −0.0423096 | − | 0.284453i | ||||
\(997\) | −0.758274 | + | 2.45827i | −0.0240148 | + | 0.0778540i | −0.966787 | − | 0.255583i | \(-0.917732\pi\) |
0.942772 | + | 0.333438i | \(0.108209\pi\) | |||||||
\(998\) | 6.44368 | − | 3.72026i | 0.203971 | − | 0.117763i | ||||
\(999\) | 12.5550 | − | 39.8761i | 0.397223 | − | 1.26162i |
(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 | 441.2.bn.a.5.14 | yes | 648 | |
9.2 | odd | 6 | 441.2.bd.a.299.14 | yes | 648 | ||
49.10 | odd | 42 | 441.2.bd.a.59.14 | ✓ | 648 | ||
441.353 | even | 42 | inner | 441.2.bn.a.353.14 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.14 | ✓ | 648 | 49.10 | odd | 42 | ||
441.2.bd.a.299.14 | yes | 648 | 9.2 | odd | 6 | ||
441.2.bn.a.5.14 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.353.14 | yes | 648 | 441.353 | even | 42 | inner |