Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.19 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.19 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37635 | − | 0.0772944i | −0.973229 | − | 0.0546554i | −0.437654 | − | 0.899143i | \(-0.644191\pi\) |
−0.535575 | + | 0.844488i | \(0.679905\pi\) | |||||||
\(3\) | 1.36620 | − | 2.31605i | 0.788778 | − | 1.33717i | −0.148614 | − | 0.988895i | \(-0.547481\pi\) |
0.937392 | − | 0.348277i | \(-0.113233\pi\) | |||||||
\(4\) | −0.0990493 | − | 0.0111602i | −0.0495246 | − | 0.00558009i | ||||
\(5\) | 0.104308 | + | 3.71769i | 0.0466481 | + | 1.66260i | 0.578438 | + | 0.815726i | \(0.303662\pi\) |
−0.531790 | + | 0.846876i | \(0.678480\pi\) | |||||||
\(6\) | −2.05940 | + | 3.08210i | −0.840745 | + | 1.25826i | ||||
\(7\) | 3.73039 | − | 0.742022i | 1.40996 | − | 0.280458i | 0.569346 | − | 0.822098i | \(-0.307196\pi\) |
0.840610 | + | 0.541640i | \(0.182196\pi\) | |||||||
\(8\) | 2.85355 | + | 0.484838i | 1.00888 | + | 0.171416i | ||||
\(9\) | −2.04642 | − | 3.70272i | −0.682140 | − | 1.23424i | ||||
\(10\) | 0.143791 | − | 5.12492i | 0.0454708 | − | 1.62064i | ||||
\(11\) | −2.72783 | + | 0.869438i | −0.822472 | + | 0.262145i | −0.685169 | − | 0.728384i | \(-0.740272\pi\) |
−0.137303 | + | 0.990529i | \(0.543843\pi\) | |||||||
\(12\) | −0.161169 | + | 0.214156i | −0.0465255 | + | 0.0618215i | ||||
\(13\) | −0.579313 | + | 0.921971i | −0.160672 | + | 0.255709i | −0.917352 | − | 0.398077i | \(-0.869678\pi\) |
0.756679 | + | 0.653786i | \(0.226820\pi\) | |||||||
\(14\) | −5.19170 | + | 0.732946i | −1.38754 | + | 0.195888i | ||||
\(15\) | 8.75287 | + | 4.83754i | 2.25998 | + | 1.24905i | ||||
\(16\) | −3.69567 | − | 0.843513i | −0.923918 | − | 0.210878i | ||||
\(17\) | −1.72305 | + | 3.74581i | −0.417902 | + | 0.908492i | ||||
\(18\) | 2.53040 | + | 5.25443i | 0.596421 | + | 1.23848i | ||||
\(19\) | 5.22485 | + | 2.88767i | 1.19866 | + | 0.662478i | 0.951844 | − | 0.306584i | \(-0.0991860\pi\) |
0.246819 | + | 0.969061i | \(0.420615\pi\) | |||||||
\(20\) | 0.0311584 | − | 0.369399i | 0.00696724 | − | 0.0826001i | ||||
\(21\) | 3.37792 | − | 9.65353i | 0.737122 | − | 2.10657i | ||||
\(22\) | 3.82166 | − | 0.985808i | 0.814781 | − | 0.210175i | ||||
\(23\) | 1.47869 | + | 4.63932i | 0.308327 | + | 0.967366i | 0.975036 | + | 0.222047i | \(0.0712740\pi\) |
−0.666709 | + | 0.745318i | \(0.732297\pi\) | |||||||
\(24\) | 5.02144 | − | 5.94659i | 1.02500 | − | 1.21384i | ||||
\(25\) | −8.81822 | + | 0.495221i | −1.76364 | + | 0.0990442i | ||||
\(26\) | 0.868603 | − | 1.22418i | 0.170347 | − | 0.240082i | ||||
\(27\) | −3.30775 | − | 0.0928064i | −0.636576 | − | 0.0178606i | ||||
\(28\) | −0.377774 | + | 0.0318649i | −0.0713926 | + | 0.00602189i | ||||
\(29\) | −2.58631 | + | 3.43660i | −0.480265 | + | 0.638161i | −0.972666 | − | 0.232208i | \(-0.925405\pi\) |
0.492401 | + | 0.870368i | \(0.336119\pi\) | |||||||
\(30\) | −11.6731 | − | 7.33471i | −2.13121 | − | 1.33913i | ||||
\(31\) | 5.75318 | − | 0.812214i | 1.03330 | − | 0.145878i | 0.397398 | − | 0.917646i | \(-0.369913\pi\) |
0.635904 | + | 0.771768i | \(0.280627\pi\) | |||||||
\(32\) | −0.541303 | − | 0.155947i | −0.0956897 | − | 0.0275677i | ||||
\(33\) | −1.71311 | + | 7.50562i | −0.298214 | + | 1.30656i | ||||
\(34\) | 2.66106 | − | 5.02238i | 0.456368 | − | 0.861330i | ||||
\(35\) | 3.14772 | + | 13.7911i | 0.532062 | + | 2.33111i | ||||
\(36\) | 0.161373 | + | 0.389590i | 0.0268956 | + | 0.0649317i | ||||
\(37\) | −2.88640 | + | 1.92863i | −0.474522 | + | 0.317065i | −0.769732 | − | 0.638367i | \(-0.779610\pi\) |
0.295210 | + | 0.955432i | \(0.404610\pi\) | |||||||
\(38\) | −6.96804 | − | 4.37831i | −1.13037 | − | 0.710256i | ||||
\(39\) | 1.34387 | + | 2.60132i | 0.215192 | + | 0.416544i | ||||
\(40\) | −1.50483 | + | 10.6592i | −0.237935 | + | 1.68537i | ||||
\(41\) | −1.22061 | + | 4.73190i | −0.190627 | + | 0.738999i | 0.799718 | + | 0.600375i | \(0.204982\pi\) |
−0.990345 | + | 0.138624i | \(0.955732\pi\) | |||||||
\(42\) | −5.39537 | + | 13.0256i | −0.832524 | + | 2.00989i | ||||
\(43\) | 6.43112 | − | 1.28090i | 0.980737 | − | 0.195335i | ||||
\(44\) | 0.279893 | − | 0.0556741i | 0.0421954 | − | 0.00839319i | ||||
\(45\) | 13.5521 | − | 7.99418i | 2.02023 | − | 1.19170i | ||||
\(46\) | −1.67660 | − | 6.49964i | −0.247201 | − | 0.958320i | ||||
\(47\) | 0.812612 | − | 7.21213i | 0.118532 | − | 1.05200i | −0.783818 | − | 0.620991i | \(-0.786730\pi\) |
0.902349 | − | 0.431006i | \(-0.141841\pi\) | |||||||
\(48\) | −7.00266 | + | 7.40695i | −1.01075 | + | 1.06910i | ||||
\(49\) | 6.89809 | − | 2.85728i | 0.985442 | − | 0.408183i | ||||
\(50\) | 12.1753 | 1.72184 | ||||||||
\(51\) | 6.32144 | + | 9.10822i | 0.885178 | + | 1.27541i | ||||
\(52\) | 0.0676699 | − | 0.0848554i | 0.00938413 | − | 0.0117673i | ||||
\(53\) | −10.3857 | + | 1.76461i | −1.42659 | + | 0.242388i | −0.828926 | − | 0.559358i | \(-0.811048\pi\) |
−0.597665 | + | 0.801746i | \(0.703905\pi\) | |||||||
\(54\) | 4.54545 | + | 0.383404i | 0.618558 | + | 0.0521747i | ||||
\(55\) | −3.51684 | − | 10.0505i | −0.474210 | − | 1.35522i | ||||
\(56\) | 11.0046 | − | 0.308761i | 1.47056 | − | 0.0412599i | ||||
\(57\) | 13.8262 | − | 8.15587i | 1.83133 | − | 1.08027i | ||||
\(58\) | 3.82530 | − | 4.53007i | 0.502287 | − | 0.594827i | ||||
\(59\) | 6.31005 | − | 8.89318i | 0.821498 | − | 1.15779i | −0.163723 | − | 0.986506i | \(-0.552350\pi\) |
0.985221 | − | 0.171287i | \(-0.0547925\pi\) | |||||||
\(60\) | −0.812977 | − | 0.576838i | −0.104955 | − | 0.0744695i | ||||
\(61\) | −2.91438 | − | 3.87254i | −0.373149 | − | 0.495828i | 0.573002 | − | 0.819554i | \(-0.305779\pi\) |
−0.946151 | + | 0.323726i | \(0.895064\pi\) | |||||||
\(62\) | −7.98119 | + | 0.673206i | −1.01361 | + | 0.0854972i | ||||
\(63\) | −10.3814 | − | 12.2941i | −1.30794 | − | 1.54891i | ||||
\(64\) | 7.88895 | + | 2.76046i | 0.986119 | + | 0.345058i | ||||
\(65\) | −3.48803 | − | 2.05754i | −0.432637 | − | 0.255206i | ||||
\(66\) | 2.93799 | − | 10.1980i | 0.361641 | − | 1.25528i | ||||
\(67\) | 9.55126 | − | 7.61687i | 1.16687 | − | 0.930549i | 0.168395 | − | 0.985720i | \(-0.446142\pi\) |
0.998477 | + | 0.0551706i | \(0.0175703\pi\) | |||||||
\(68\) | 0.212471 | − | 0.351790i | 0.0257659 | − | 0.0426608i | ||||
\(69\) | 12.7651 | + | 2.91355i | 1.53674 | + | 0.350750i | ||||
\(70\) | −3.26640 | − | 19.2247i | −0.390410 | − | 2.29779i | ||||
\(71\) | 1.17038 | + | 0.373034i | 0.138899 | + | 0.0442710i | 0.372318 | − | 0.928105i | \(-0.378563\pi\) |
−0.233420 | + | 0.972376i | \(0.574992\pi\) | |||||||
\(72\) | −4.04435 | − | 11.5581i | −0.476631 | − | 1.36213i | ||||
\(73\) | 0.0954141 | + | 3.40069i | 0.0111674 | + | 0.398020i | 0.985180 | + | 0.171525i | \(0.0548695\pi\) |
−0.974012 | + | 0.226495i | \(0.927273\pi\) | |||||||
\(74\) | 4.12178 | − | 2.43138i | 0.479148 | − | 0.282642i | ||||
\(75\) | −10.9005 | + | 21.1000i | −1.25868 | + | 2.43642i | ||||
\(76\) | −0.485291 | − | 0.344332i | −0.0556667 | − | 0.0394976i | ||||
\(77\) | −9.53075 | + | 5.26746i | −1.08613 | + | 0.600282i | ||||
\(78\) | −1.64858 | − | 3.68421i | −0.186665 | − | 0.417154i | ||||
\(79\) | −2.07478 | − | 1.38632i | −0.233431 | − | 0.155973i | 0.433354 | − | 0.901224i | \(-0.357330\pi\) |
−0.666785 | + | 0.745250i | \(0.732330\pi\) | |||||||
\(80\) | 2.75043 | − | 13.8274i | 0.307508 | − | 1.54595i | ||||
\(81\) | 2.01844 | − | 3.21234i | 0.224272 | − | 0.356926i | ||||
\(82\) | 2.04574 | − | 6.41843i | 0.225914 | − | 0.708797i | ||||
\(83\) | 6.24775 | − | 6.99123i | 0.685779 | − | 0.767387i | −0.296455 | − | 0.955047i | \(-0.595804\pi\) |
0.982234 | + | 0.187659i | \(0.0600901\pi\) | |||||||
\(84\) | −0.442315 | + | 0.918477i | −0.0482606 | + | 0.100214i | ||||
\(85\) | −14.1055 | − | 6.01507i | −1.52996 | − | 0.652426i | ||||
\(86\) | −8.95050 | + | 1.26588i | −0.965157 | + | 0.136503i | ||||
\(87\) | 4.42592 | + | 10.6851i | 0.474508 | + | 1.14556i | ||||
\(88\) | −8.20555 | + | 1.15843i | −0.874715 | + | 0.123489i | ||||
\(89\) | 13.3616 | + | 4.67541i | 1.41632 | + | 0.495592i | 0.926521 | − | 0.376242i | \(-0.122784\pi\) |
0.489800 | + | 0.871835i | \(0.337070\pi\) | |||||||
\(90\) | −19.2704 | + | 9.95532i | −2.03128 | + | 1.04938i | ||||
\(91\) | −1.47694 | + | 3.86918i | −0.154826 | + | 0.405600i | ||||
\(92\) | −0.0946871 | − | 0.476024i | −0.00987181 | − | 0.0496289i | ||||
\(93\) | 5.97889 | − | 14.4343i | 0.619982 | − | 1.49677i | ||||
\(94\) | −1.67590 | + | 9.86363i | −0.172856 | + | 1.01736i | ||||
\(95\) | −10.1905 | + | 19.7256i | −1.04552 | + | 2.02380i | ||||
\(96\) | −1.10071 | + | 1.04063i | −0.112341 | + | 0.106209i | ||||
\(97\) | 4.85935 | − | 4.10336i | 0.493393 | − | 0.416633i | −0.363919 | − | 0.931431i | \(-0.618562\pi\) |
0.857312 | + | 0.514798i | \(0.172133\pi\) | |||||||
\(98\) | −9.71506 | + | 3.39945i | −0.981370 | + | 0.343396i | ||||
\(99\) | 8.80157 | + | 8.32115i | 0.884591 | + | 0.836307i | ||||
\(100\) | 0.878965 | + | 0.0493616i | 0.0878965 | + | 0.00493616i | ||||
\(101\) | 8.78422 | − | 7.00518i | 0.874062 | − | 0.697041i | −0.0799534 | − | 0.996799i | \(-0.525477\pi\) |
0.954015 | + | 0.299757i | \(0.0969057\pi\) | |||||||
\(102\) | −7.99652 | − | 13.0247i | −0.791773 | − | 1.28964i | ||||
\(103\) | −3.23465 | + | 14.1719i | −0.318719 | + | 1.39640i | 0.521082 | + | 0.853507i | \(0.325529\pi\) |
−0.839801 | + | 0.542894i | \(0.817329\pi\) | |||||||
\(104\) | −2.10011 | + | 2.35002i | −0.205933 | + | 0.230439i | ||||
\(105\) | 36.2412 | + | 11.5511i | 3.53678 | + | 1.12727i | ||||
\(106\) | 14.4308 | − | 1.62597i | 1.40165 | − | 0.157928i | ||||
\(107\) | 0.664315 | + | 2.57534i | 0.0642218 | + | 0.248967i | 0.992379 | − | 0.123220i | \(-0.0393221\pi\) |
−0.928158 | + | 0.372187i | \(0.878608\pi\) | |||||||
\(108\) | 0.326594 | + | 0.0461074i | 0.0314265 | + | 0.00443669i | ||||
\(109\) | −2.05017 | − | 1.05914i | −0.196371 | − | 0.101447i | 0.357985 | − | 0.933727i | \(-0.383464\pi\) |
−0.554356 | + | 0.832280i | \(0.687035\pi\) | |||||||
\(110\) | 4.06356 | + | 14.1049i | 0.387446 | + | 1.34485i | ||||
\(111\) | 0.523397 | + | 9.31995i | 0.0496787 | + | 0.884611i | ||||
\(112\) | −14.4122 | − | 0.404368i | −1.36183 | − | 0.0382092i | ||||
\(113\) | −10.5407 | − | 11.1493i | −0.991588 | − | 1.04884i | −0.998805 | − | 0.0488633i | \(-0.984440\pi\) |
0.00721706 | − | 0.999974i | \(-0.497703\pi\) | |||||||
\(114\) | −19.6601 | + | 10.1567i | −1.84134 | + | 0.951260i | ||||
\(115\) | −17.0933 | + | 5.98122i | −1.59396 | + | 0.557751i | ||||
\(116\) | 0.294525 | − | 0.311529i | 0.0273459 | − | 0.0289248i | ||||
\(117\) | 4.59932 | + | 0.258292i | 0.425207 | + | 0.0238791i | ||||
\(118\) | −9.37225 | + | 11.7524i | −0.862786 | + | 1.08190i | ||||
\(119\) | −3.64820 | + | 15.2519i | −0.334430 | + | 1.39814i | ||||
\(120\) | 22.6314 | + | 18.0479i | 2.06595 | + | 1.64754i | ||||
\(121\) | −2.28603 | + | 1.62202i | −0.207821 | + | 0.147457i | ||||
\(122\) | 3.71190 | + | 5.55525i | 0.336060 | + | 0.502949i | ||||
\(123\) | 9.29173 | + | 9.29173i | 0.837807 | + | 0.837807i | ||||
\(124\) | −0.578913 | + | 0.0162427i | −0.0519879 | + | 0.00145864i | ||||
\(125\) | −1.19791 | − | 14.2018i | −0.107144 | − | 1.27025i | ||||
\(126\) | 13.3383 | + | 17.7235i | 1.18827 | + | 1.57893i | ||||
\(127\) | −13.8180 | − | 15.4624i | −1.22615 | − | 1.37206i | −0.905210 | − | 0.424964i | \(-0.860287\pi\) |
−0.320940 | − | 0.947099i | \(-0.603999\pi\) | |||||||
\(128\) | −9.60374 | − | 3.97800i | −0.848859 | − | 0.351609i | ||||
\(129\) | 5.81959 | − | 16.6448i | 0.512387 | − | 1.46549i | ||||
\(130\) | 4.64173 | + | 3.10151i | 0.407107 | + | 0.272020i | ||||
\(131\) | −3.87992 | + | 5.15551i | −0.338990 | + | 0.450439i | −0.936107 | − | 0.351715i | \(-0.885599\pi\) |
0.597117 | + | 0.802154i | \(0.296313\pi\) | |||||||
\(132\) | 0.253446 | − | 0.724308i | 0.0220597 | − | 0.0630429i | ||||
\(133\) | 21.6335 | + | 6.89521i | 1.87586 | + | 0.597890i | ||||
\(134\) | −13.7346 | + | 9.74525i | −1.18649 | + | 0.841862i | ||||
\(135\) | − | 12.3069i | − | 1.05921i | ||||||
\(136\) | −6.73294 | + | 9.85347i | −0.577345 | + | 0.844928i | ||||
\(137\) | −6.04346 | + | 1.37938i | −0.516328 | + | 0.117848i | −0.472741 | − | 0.881201i | \(-0.656735\pi\) |
−0.0435863 | + | 0.999050i | \(0.513878\pi\) | |||||||
\(138\) | −17.3441 | − | 4.99674i | −1.47643 | − | 0.425351i | ||||
\(139\) | 4.00328 | − | 1.52813i | 0.339554 | − | 0.129615i | −0.180907 | − | 0.983500i | \(-0.557903\pi\) |
0.520460 | + | 0.853886i | \(0.325760\pi\) | |||||||
\(140\) | −0.157869 | − | 1.40112i | −0.0133423 | − | 0.118417i | ||||
\(141\) | −15.5935 | − | 11.7353i | −1.31321 | − | 0.988289i | ||||
\(142\) | −1.58203 | − | 0.603891i | −0.132761 | − | 0.0506774i | ||||
\(143\) | 0.778671 | − | 3.01866i | 0.0651157 | − | 0.252433i | ||||
\(144\) | 4.43960 | + | 15.4102i | 0.369967 | + | 1.28418i | ||||
\(145\) | −13.0460 | − | 9.25663i | −1.08341 | − | 0.768721i | ||||
\(146\) | 0.131530 | − | 4.68792i | 0.0108855 | − | 0.387975i | ||||
\(147\) | 2.80658 | − | 19.8799i | 0.231483 | − | 1.63967i | ||||
\(148\) | 0.307420 | − | 0.158817i | 0.0252698 | − | 0.0130547i | ||||
\(149\) | 2.03424 | + | 18.0544i | 0.166652 | + | 1.47908i | 0.747063 | + | 0.664753i | \(0.231463\pi\) |
−0.580412 | + | 0.814323i | \(0.697108\pi\) | |||||||
\(150\) | 16.6339 | − | 28.1985i | 1.35815 | − | 2.30240i | ||||
\(151\) | −14.9148 | − | 13.3287i | −1.21375 | − | 1.08467i | −0.994029 | − | 0.109112i | \(-0.965199\pi\) |
−0.219722 | − | 0.975563i | \(-0.570515\pi\) | |||||||
\(152\) | 13.5093 | + | 10.7733i | 1.09575 | + | 0.873834i | ||||
\(153\) | 17.3958 | − | 1.28551i | 1.40636 | − | 0.103927i | ||||
\(154\) | 13.5248 | − | 6.51321i | 1.08986 | − | 0.524849i | ||||
\(155\) | 3.61967 | + | 21.3038i | 0.290739 | + | 1.71117i | ||||
\(156\) | −0.104078 | − | 0.272656i | −0.00833294 | − | 0.0218300i | ||||
\(157\) | −2.08729 | + | 18.5252i | −0.166583 | + | 1.47847i | 0.580784 | + | 0.814058i | \(0.302746\pi\) |
−0.747367 | + | 0.664411i | \(0.768682\pi\) | |||||||
\(158\) | 2.74847 | + | 2.06844i | 0.218657 | + | 0.164556i | ||||
\(159\) | −10.1021 | + | 26.4647i | −0.801149 | + | 2.09879i | ||||
\(160\) | 0.523299 | − | 2.02866i | 0.0413704 | − | 0.160380i | ||||
\(161\) | 8.95856 | + | 16.2093i | 0.706033 | + | 1.27747i | ||||
\(162\) | −3.02639 | + | 4.26530i | −0.237776 | + | 0.335113i | ||||
\(163\) | 3.90540 | + | 2.01758i | 0.305894 | + | 0.158029i | 0.605077 | − | 0.796167i | \(-0.293142\pi\) |
−0.299182 | + | 0.954196i | \(0.596714\pi\) | |||||||
\(164\) | 0.173709 | − | 0.455070i | 0.0135644 | − | 0.0355350i | ||||
\(165\) | −28.0823 | − | 5.58591i | −2.18620 | − | 0.434863i | ||||
\(166\) | −9.13949 | + | 9.13949i | −0.709362 | + | 0.709362i | ||||
\(167\) | −12.8642 | − | 12.1620i | −0.995460 | − | 0.941125i | 0.00280515 | − | 0.999996i | \(-0.499107\pi\) |
−0.998266 | + | 0.0588710i | \(0.981250\pi\) | |||||||
\(168\) | 14.3195 | − | 25.9091i | 1.10477 | − | 1.99893i | ||||
\(169\) | 5.12606 | + | 10.6444i | 0.394312 | + | 0.818798i | ||||
\(170\) | 18.9492 | + | 9.36914i | 1.45334 | + | 0.718580i | ||||
\(171\) | − | 25.2555i | − | 1.93134i | ||||||
\(172\) | −0.651293 | + | 0.0550995i | −0.0496606 | + | 0.00420130i | ||||
\(173\) | −4.35251 | − | 6.51399i | −0.330915 | − | 0.495249i | 0.628283 | − | 0.777985i | \(-0.283758\pi\) |
−0.959198 | + | 0.282736i | \(0.908758\pi\) | |||||||
\(174\) | −5.26573 | − | 15.0486i | −0.399194 | − | 1.14083i | ||||
\(175\) | −32.5280 | + | 8.39068i | −2.45888 | + | 0.634276i | ||||
\(176\) | 10.8146 | − | 0.912196i | 0.815177 | − | 0.0687594i | ||||
\(177\) | −11.9762 | − | 26.7643i | −0.900189 | − | 2.01173i | ||||
\(178\) | −18.0288 | − | 7.46779i | −1.35132 | − | 0.559734i | ||||
\(179\) | 10.5079 | + | 4.35251i | 0.785396 | + | 0.325322i | 0.739091 | − | 0.673606i | \(-0.235255\pi\) |
0.0463049 | + | 0.998927i | \(0.485255\pi\) | |||||||
\(180\) | −1.43154 | + | 0.640574i | −0.106701 | + | 0.0477456i | ||||
\(181\) | 6.25036 | − | 1.99217i | 0.464585 | − | 0.148077i | −0.0622203 | − | 0.998062i | \(-0.519818\pi\) |
0.526806 | + | 0.849986i | \(0.323390\pi\) | |||||||
\(182\) | 2.33186 | − | 5.21120i | 0.172849 | − | 0.386280i | ||||
\(183\) | −12.9506 | + | 1.45919i | −0.957338 | + | 0.107866i | ||||
\(184\) | 1.97019 | + | 13.9555i | 0.145244 | + | 1.02881i | ||||
\(185\) | −7.47114 | − | 10.5296i | −0.549289 | − | 0.774150i | ||||
\(186\) | −9.34475 | + | 19.4046i | −0.685190 | + | 1.42281i | ||||
\(187\) | 1.44345 | − | 11.7160i | 0.105556 | − | 0.856760i | ||||
\(188\) | −0.160977 | + | 0.705287i | −0.0117405 | + | 0.0514384i | ||||
\(189\) | −12.4081 | + | 2.10821i | −0.902553 | + | 0.153350i | ||||
\(190\) | 15.5504 | − | 26.3617i | 1.12814 | − | 1.91248i | ||||
\(191\) | 1.04249 | − | 9.25234i | 0.0754318 | − | 0.669476i | −0.897920 | − | 0.440159i | \(-0.854922\pi\) |
0.973352 | − | 0.229317i | \(-0.0736492\pi\) | |||||||
\(192\) | 17.1713 | − | 14.4999i | 1.23923 | − | 1.04644i | ||||
\(193\) | −2.87393 | + | 20.3570i | −0.206870 | + | 1.46533i | 0.562645 | + | 0.826699i | \(0.309784\pi\) |
−0.769515 | + | 0.638629i | \(0.779502\pi\) | |||||||
\(194\) | −7.00536 | + | 5.27207i | −0.502955 | + | 0.378513i | ||||
\(195\) | −9.53072 | + | 5.26744i | −0.682509 | + | 0.377209i | ||||
\(196\) | −0.715139 | + | 0.206028i | −0.0510813 | + | 0.0147163i | ||||
\(197\) | 14.0966 | − | 10.6088i | 1.00434 | − | 0.755845i | 0.0344568 | − | 0.999406i | \(-0.489030\pi\) |
0.969886 | + | 0.243561i | \(0.0783156\pi\) | |||||||
\(198\) | −11.4709 | − | 12.1332i | −0.815201 | − | 0.862266i | ||||
\(199\) | −11.5463 | − | 5.16662i | −0.818492 | − | 0.366252i | −0.0441548 | − | 0.999025i | \(-0.514059\pi\) |
−0.774337 | + | 0.632773i | \(0.781917\pi\) | |||||||
\(200\) | −25.4034 | − | 2.86227i | −1.79629 | − | 0.202393i | ||||
\(201\) | −4.59210 | − | 32.5274i | −0.323902 | − | 2.29430i | ||||
\(202\) | −12.6316 | + | 8.96263i | −0.888760 | + | 0.630609i | ||||
\(203\) | −7.09791 | + | 14.7390i | −0.498176 | + | 1.03447i | ||||
\(204\) | −0.524485 | − | 0.972711i | −0.0367213 | − | 0.0681034i | ||||
\(205\) | −17.7191 | − | 4.04427i | −1.23755 | − | 0.282464i | ||||
\(206\) | 5.54743 | − | 19.2556i | 0.386508 | − | 1.34160i | ||||
\(207\) | 14.1521 | − | 14.9692i | 0.983639 | − | 1.04043i | ||||
\(208\) | 2.91864 | − | 2.91864i | 0.202372 | − | 0.202372i | ||||
\(209\) | −16.7632 | − | 3.33440i | −1.15953 | − | 0.230645i | ||||
\(210\) | −48.9879 | − | 18.6997i | −3.38049 | − | 1.29040i | ||||
\(211\) | −15.4107 | − | 13.0132i | −1.06092 | − | 0.895864i | −0.0661270 | − | 0.997811i | \(-0.521064\pi\) |
−0.994790 | + | 0.101947i | \(0.967493\pi\) | |||||||
\(212\) | 1.04839 | − | 0.0588765i | 0.0720040 | − | 0.00404366i | ||||
\(213\) | 2.46295 | − | 2.20102i | 0.168758 | − | 0.150812i | ||||
\(214\) | −0.715274 | − | 3.59592i | −0.0488951 | − | 0.245812i | ||||
\(215\) | 5.43280 | + | 23.7753i | 0.370514 | + | 1.62146i | ||||
\(216\) | −9.39384 | − | 1.86855i | −0.639170 | − | 0.127139i | ||||
\(217\) | 20.8590 | − | 7.29887i | 1.41600 | − | 0.495479i | ||||
\(218\) | 2.73989 | + | 1.61622i | 0.185569 | + | 0.109464i | ||||
\(219\) | 8.00652 | + | 4.42504i | 0.541030 | + | 0.299017i | ||||
\(220\) | 0.236175 | + | 1.03475i | 0.0159229 | + | 0.0697627i | ||||
\(221\) | −2.45534 | − | 3.75860i | −0.165164 | − | 0.252831i | ||||
\(222\) | − | 12.8680i | − | 0.863644i | ||||||
\(223\) | −10.0400 | − | 14.1501i | −0.672329 | − | 0.947559i | −0.999996 | − | 0.00276582i | \(-0.999120\pi\) |
0.327667 | − | 0.944793i | \(-0.393738\pi\) | |||||||
\(224\) | −2.13499 | − | 0.180084i | −0.142650 | − | 0.0120324i | ||||
\(225\) | 19.8794 | + | 31.6380i | 1.32530 | + | 2.10920i | ||||
\(226\) | 13.6460 | + | 16.1601i | 0.907718 | + | 1.07495i | ||||
\(227\) | 6.01775 | + | 10.2016i | 0.399412 | + | 0.677102i | 0.991693 | − | 0.128630i | \(-0.0410580\pi\) |
−0.592281 | + | 0.805732i | \(0.701772\pi\) | |||||||
\(228\) | −1.46050 | + | 0.653530i | −0.0967237 | + | 0.0432811i | ||||
\(229\) | −6.92456 | − | 7.74859i | −0.457588 | − | 0.512041i | 0.471517 | − | 0.881857i | \(-0.343707\pi\) |
−0.929105 | + | 0.369816i | \(0.879421\pi\) | |||||||
\(230\) | 23.9888 | − | 6.91105i | 1.58177 | − | 0.455701i | ||||
\(231\) | −0.821240 | + | 29.2701i | −0.0540336 | + | 1.92583i | ||||
\(232\) | −9.04636 | + | 8.55258i | −0.593923 | + | 0.561505i | ||||
\(233\) | 1.30419 | + | 5.05594i | 0.0854406 | + | 0.331226i | 0.996756 | − | 0.0804832i | \(-0.0256463\pi\) |
−0.911315 | + | 0.411709i | \(0.864932\pi\) | |||||||
\(234\) | −6.31032 | − | 0.711002i | −0.412519 | − | 0.0464797i | ||||
\(235\) | 26.8972 | + | 2.26876i | 1.75458 | + | 0.147997i | ||||
\(236\) | −0.724255 | + | 0.810442i | −0.0471450 | + | 0.0527553i | ||||
\(237\) | −6.04536 | + | 2.91129i | −0.392688 | + | 0.189109i | ||||
\(238\) | 6.20010 | − | 20.7100i | 0.401893 | − | 1.34243i | ||||
\(239\) | 11.6683 | + | 14.6315i | 0.754757 | + | 0.946435i | 0.999733 | − | 0.0230941i | \(-0.00735175\pi\) |
−0.244977 | + | 0.969529i | \(0.578780\pi\) | |||||||
\(240\) | −28.2672 | − | 25.2611i | −1.82464 | − | 1.63060i | ||||
\(241\) | −2.99616 | − | 7.84910i | −0.193000 | − | 0.505605i | 0.802895 | − | 0.596120i | \(-0.203292\pi\) |
−0.995895 | + | 0.0905146i | \(0.971149\pi\) | |||||||
\(242\) | 3.27176 | − | 2.05578i | 0.210317 | − | 0.132151i | ||||
\(243\) | −9.23870 | − | 17.8832i | −0.592663 | − | 1.14721i | ||||
\(244\) | 0.245450 | + | 0.416097i | 0.0157133 | + | 0.0266379i | ||||
\(245\) | 11.3420 | + | 25.3469i | 0.724616 | + | 1.61936i | ||||
\(246\) | −12.0705 | − | 13.5069i | −0.769587 | − | 0.861169i | ||||
\(247\) | −5.68918 | + | 3.14430i | −0.361994 | + | 0.200067i | ||||
\(248\) | 16.8108 | + | 0.471666i | 1.06749 | + | 0.0299508i | ||||
\(249\) | −7.65635 | − | 24.0215i | −0.485202 | − | 1.52230i | ||||
\(250\) | 0.551026 | + | 19.6393i | 0.0348499 | + | 1.24210i | ||||
\(251\) | 2.84157 | + | 2.84157i | 0.179358 | + | 0.179358i | 0.791076 | − | 0.611718i | \(-0.209521\pi\) |
−0.611718 | + | 0.791076i | \(0.709521\pi\) | |||||||
\(252\) | 0.891071 | + | 1.33358i | 0.0561322 | + | 0.0840077i | ||||
\(253\) | −8.06721 | − | 11.3697i | −0.507181 | − | 0.714805i | ||||
\(254\) | 17.8233 | + | 22.3497i | 1.11833 | + | 1.40235i | ||||
\(255\) | −33.2022 | + | 24.4512i | −2.07920 | + | 1.53119i | ||||
\(256\) | −2.14988 | − | 1.03533i | −0.134367 | − | 0.0647079i | ||||
\(257\) | 23.5444 | − | 9.75242i | 1.46866 | − | 0.608340i | 0.502108 | − | 0.864805i | \(-0.332558\pi\) |
0.966553 | + | 0.256465i | \(0.0825579\pi\) | |||||||
\(258\) | −9.29636 | + | 22.4593i | −0.578766 | + | 1.39825i | ||||
\(259\) | −9.33633 | + | 9.33633i | −0.580131 | + | 0.580131i | ||||
\(260\) | 0.322525 | + | 0.242725i | 0.0200021 | + | 0.0150531i | ||||
\(261\) | 18.0174 | + | 2.54364i | 1.11525 | + | 0.157447i | ||||
\(262\) | 5.73864 | − | 6.79591i | 0.354534 | − | 0.419853i | ||||
\(263\) | −8.09530 | − | 1.37545i | −0.499178 | − | 0.0848137i | −0.0875396 | − | 0.996161i | \(-0.527900\pi\) |
−0.411638 | + | 0.911347i | \(0.635043\pi\) | |||||||
\(264\) | −8.52747 | + | 20.5871i | −0.524829 | + | 1.26705i | ||||
\(265\) | −7.64359 | − | 38.4269i | −0.469542 | − | 2.36055i | ||||
\(266\) | −29.2424 | − | 11.1624i | −1.79296 | − | 0.684410i | ||||
\(267\) | 29.0831 | − | 24.5585i | 1.77985 | − | 1.50295i | ||||
\(268\) | −1.03105 | + | 0.647852i | −0.0629814 | + | 0.0395739i | ||||
\(269\) | 0.662026 | − | 7.84865i | 0.0403644 | − | 0.478541i | −0.947126 | − | 0.320862i | \(-0.896027\pi\) |
0.987490 | − | 0.157679i | \(-0.0504011\pi\) | |||||||
\(270\) | −0.951251 | + | 16.9386i | −0.0578913 | + | 1.03085i | ||||
\(271\) | 14.7029 | − | 3.35584i | 0.893136 | − | 0.203853i | 0.248764 | − | 0.968564i | \(-0.419976\pi\) |
0.644373 | + | 0.764712i | \(0.277119\pi\) | |||||||
\(272\) | 9.52748 | − | 12.3899i | 0.577688 | − | 0.751246i | ||||
\(273\) | 6.94341 | + | 8.70676i | 0.420234 | + | 0.526957i | ||||
\(274\) | 8.42456 | − | 1.43139i | 0.508946 | − | 0.0864734i | ||||
\(275\) | 23.6241 | − | 9.01778i | 1.42458 | − | 0.543792i | ||||
\(276\) | −1.23186 | − | 0.431045i | −0.0741491 | − | 0.0259459i | ||||
\(277\) | 0.195267 | + | 0.377976i | 0.0117325 | + | 0.0227104i | 0.894239 | − | 0.447589i | \(-0.147717\pi\) |
−0.882507 | + | 0.470300i | \(0.844146\pi\) | |||||||
\(278\) | −5.62805 | + | 1.79382i | −0.337548 | + | 0.107586i | ||||
\(279\) | −14.7808 | − | 19.6403i | −0.884905 | − | 1.17583i | ||||
\(280\) | 2.29575 | + | 40.8797i | 0.137198 | + | 2.44303i | ||||
\(281\) | −1.50124 | − | 2.71629i | −0.0895564 | − | 0.162040i | 0.826687 | − | 0.562662i | \(-0.190223\pi\) |
−0.916244 | + | 0.400622i | \(0.868794\pi\) | |||||||
\(282\) | 20.5550 | + | 17.3572i | 1.22403 | + | 1.03361i | ||||
\(283\) | 8.91143 | + | 1.25808i | 0.529729 | + | 0.0747853i | 0.399561 | − | 0.916707i | \(-0.369163\pi\) |
0.130168 | + | 0.991492i | \(0.458448\pi\) | |||||||
\(284\) | −0.111762 | − | 0.0500105i | −0.00663188 | − | 0.00296757i | ||||
\(285\) | 31.7632 | + | 50.5508i | 1.88149 | + | 2.99437i | ||||
\(286\) | −1.30505 | + | 4.09456i | −0.0771693 | + | 0.242116i | ||||
\(287\) | −1.04217 | + | 18.5576i | −0.0615174 | + | 1.09542i | ||||
\(288\) | 0.530306 | + | 2.32342i | 0.0312486 | + | 0.136909i | ||||
\(289\) | −11.0622 | − | 12.9085i | −0.650716 | − | 0.759322i | ||||
\(290\) | 17.2404 | + | 13.7488i | 1.01239 | + | 0.807356i | ||||
\(291\) | −2.86472 | − | 16.8605i | −0.167933 | − | 0.988381i | ||||
\(292\) | 0.0285016 | − | 0.337900i | 0.00166793 | − | 0.0197741i | ||||
\(293\) | 2.49117 | + | 1.56530i | 0.145536 | + | 0.0914461i | 0.602832 | − | 0.797869i | \(-0.294039\pi\) |
−0.457296 | + | 0.889315i | \(0.651182\pi\) | |||||||
\(294\) | −5.39946 | + | 27.1449i | −0.314903 | + | 1.58312i | ||||
\(295\) | 33.7203 | + | 22.5312i | 1.96327 | + | 1.31182i | ||||
\(296\) | −9.17158 | + | 4.10402i | −0.533087 | + | 0.238541i | ||||
\(297\) | 9.10366 | − | 2.62272i | 0.528248 | − | 0.152186i | ||||
\(298\) | −1.40434 | − | 25.0065i | −0.0813510 | − | 1.44859i | ||||
\(299\) | −5.13394 | − | 1.32431i | −0.296904 | − | 0.0765871i | ||||
\(300\) | 1.31517 | − | 1.96829i | 0.0759313 | − | 0.113639i | ||||
\(301\) | 23.0402 | − | 9.55028i | 1.32801 | − | 0.550469i | ||||
\(302\) | 19.4978 | + | 19.4978i | 1.12197 | + | 1.12197i | ||||
\(303\) | −4.22332 | − | 29.9152i | −0.242623 | − | 1.71858i | ||||
\(304\) | −16.8735 | − | 15.0791i | −0.967764 | − | 0.864847i | ||||
\(305\) | 14.0929 | − | 11.2387i | 0.806958 | − | 0.643528i | ||||
\(306\) | −24.0421 | + | 0.424724i | −1.37439 | + | 0.0242798i | ||||
\(307\) | 5.96425 | 0.340398 | 0.170199 | − | 0.985410i | \(-0.445559\pi\) | ||||
0.170199 | + | 0.985410i | \(0.445559\pi\) | |||||||
\(308\) | 1.00280 | − | 0.415373i | 0.0571398 | − | 0.0236681i | ||||
\(309\) | 28.4037 | + | 26.8533i | 1.61583 | + | 1.52763i | ||||
\(310\) | −3.33528 | − | 29.6014i | −0.189431 | − | 1.68125i | ||||
\(311\) | −27.3337 | − | 12.2311i | −1.54995 | − | 0.693560i | −0.559176 | − | 0.829049i | \(-0.688882\pi\) |
−0.990779 | + | 0.135489i | \(0.956739\pi\) | |||||||
\(312\) | 2.57359 | + | 8.07456i | 0.145701 | + | 0.457132i | ||||
\(313\) | 17.5537 | + | 4.52802i | 0.992193 | + | 0.255939i | 0.710601 | − | 0.703595i | \(-0.248423\pi\) |
0.281592 | + | 0.959534i | \(0.409137\pi\) | |||||||
\(314\) | 4.30473 | − | 25.3358i | 0.242930 | − | 1.42978i | ||||
\(315\) | 44.6228 | − | 39.8774i | 2.51421 | − | 2.24684i | ||||
\(316\) | 0.190034 | + | 0.160469i | 0.0106902 | + | 0.00902709i | ||||
\(317\) | −22.3627 | + | 21.1421i | −1.25602 | + | 1.18746i | −0.282393 | + | 0.959299i | \(0.591128\pi\) |
−0.973623 | + | 0.228161i | \(0.926729\pi\) | |||||||
\(318\) | 15.9496 | − | 35.6440i | 0.894412 | − | 1.99881i | ||||
\(319\) | 4.06710 | − | 11.6231i | 0.227714 | − | 0.650769i | ||||
\(320\) | −9.43967 | + | 29.6166i | −0.527694 | + | 1.65562i | ||||
\(321\) | 6.87220 | + | 1.97985i | 0.383569 | + | 0.110504i | ||||
\(322\) | −11.0773 | − | 23.0022i | −0.617311 | − | 1.28186i | ||||
\(323\) | −19.8194 | + | 14.5957i | −1.10278 | + | 0.812125i | ||||
\(324\) | −0.235776 | + | 0.295653i | −0.0130987 | + | 0.0164252i | ||||
\(325\) | 4.65193 | − | 8.41704i | 0.258043 | − | 0.466893i | ||||
\(326\) | −5.21926 | − | 3.07876i | −0.289068 | − | 0.170517i | ||||
\(327\) | −5.25398 | + | 3.30129i | −0.290546 | + | 0.182562i | ||||
\(328\) | −5.77728 | + | 12.9110i | −0.318997 | + | 0.712888i | ||||
\(329\) | −2.32019 | − | 27.5071i | −0.127916 | − | 1.51651i | ||||
\(330\) | 38.2194 | + | 9.85880i | 2.10391 | + | 0.542709i | ||||
\(331\) | −15.7946 | − | 2.68360i | −0.868147 | − | 0.147504i | −0.283678 | − | 0.958920i | \(-0.591555\pi\) |
−0.584470 | + | 0.811416i | \(0.698697\pi\) | |||||||
\(332\) | −0.696858 | + | 0.622751i | −0.0382451 | + | 0.0341779i | ||||
\(333\) | 13.0480 | + | 6.74074i | 0.715024 | + | 0.369390i | ||||
\(334\) | 16.7656 | + | 17.7336i | 0.917373 | + | 0.970338i | ||||
\(335\) | 29.3135 | + | 34.7141i | 1.60157 | + | 1.89664i | ||||
\(336\) | −20.6265 | + | 32.8270i | −1.12527 | + | 1.79086i | ||||
\(337\) | −20.2415 | + | 13.5250i | −1.10263 | + | 0.736751i | −0.967195 | − | 0.254035i | \(-0.918242\pi\) |
−0.135432 | + | 0.990787i | \(0.543242\pi\) | |||||||
\(338\) | −6.23252 | − | 15.0466i | −0.339005 | − | 0.818429i | ||||
\(339\) | −40.2231 | + | 9.18066i | −2.18462 | + | 0.498625i | ||||
\(340\) | 1.33001 | + | 0.753208i | 0.0721299 | + | 0.0408484i | ||||
\(341\) | −14.9875 | + | 7.21762i | −0.811621 | + | 0.390856i | ||||
\(342\) | −1.95211 | + | 34.7606i | −0.105558 | + | 1.87964i | ||||
\(343\) | 1.47510 | − | 0.985633i | 0.0796481 | − | 0.0532192i | ||||
\(344\) | 18.9726 | − | 0.537056i | 1.02293 | − | 0.0289561i | ||||
\(345\) | −9.50017 | + | 47.7606i | −0.511472 | + | 2.57134i | ||||
\(346\) | 5.48709 | + | 9.30197i | 0.294988 | + | 0.500077i | ||||
\(347\) | 7.75158 | − | 5.83366i | 0.416127 | − | 0.313167i | −0.372509 | − | 0.928029i | \(-0.621502\pi\) |
0.788635 | + | 0.614861i | \(0.210788\pi\) | |||||||
\(348\) | −0.319136 | − | 1.10775i | −0.0171075 | − | 0.0593814i | ||||
\(349\) | −2.89505 | + | 17.0390i | −0.154968 | + | 0.912078i | 0.796570 | + | 0.604547i | \(0.206646\pi\) |
−0.951538 | + | 0.307532i | \(0.900497\pi\) | |||||||
\(350\) | 45.4186 | − | 9.03431i | 2.42772 | − | 0.482904i | ||||
\(351\) | 2.00178 | − | 2.99588i | 0.106847 | − | 0.159908i | ||||
\(352\) | 1.61217 | − | 0.0452331i | 0.0859288 | − | 0.00241093i | ||||
\(353\) | −6.38496 | + | 0.719413i | −0.339837 | + | 0.0382905i | −0.280234 | − | 0.959932i | \(-0.590412\pi\) |
−0.0596032 | + | 0.998222i | \(0.518984\pi\) | |||||||
\(354\) | 14.4148 | + | 37.7628i | 0.766139 | + | 2.00707i | ||||
\(355\) | −1.26475 | + | 4.39003i | −0.0671258 | + | 0.232999i | ||||
\(356\) | −1.27127 | − | 0.612213i | −0.0673774 | − | 0.0324472i | ||||
\(357\) | 30.3399 | + | 29.2866i | 1.60576 | + | 1.55001i | ||||
\(358\) | −14.1261 | − | 6.80279i | −0.746589 | − | 0.359538i | ||||
\(359\) | 1.05609 | − | 1.91085i | 0.0557382 | − | 0.100851i | −0.845901 | − | 0.533341i | \(-0.820936\pi\) |
0.901639 | + | 0.432490i | \(0.142365\pi\) | |||||||
\(360\) | 42.5476 | − | 16.2413i | 2.24245 | − | 0.855989i | ||||
\(361\) | 8.85181 | + | 14.0876i | 0.465885 | + | 0.741451i | ||||
\(362\) | −8.75668 | + | 2.25881i | −0.460241 | + | 0.118720i | ||||
\(363\) | 0.633509 | + | 7.51057i | 0.0332506 | + | 0.394203i | ||||
\(364\) | 0.189471 | − | 0.366756i | 0.00993097 | − | 0.0192233i | ||||
\(365\) | −12.6328 | + | 0.709440i | −0.661229 | + | 0.0371338i | ||||
\(366\) | 17.9374 | − | 1.00735i | 0.937605 | − | 0.0526548i | ||||
\(367\) | 9.79835 | − | 18.9665i | 0.511470 | − | 0.990045i | −0.482024 | − | 0.876158i | \(-0.660098\pi\) |
0.993494 | − | 0.113887i | \(-0.0363303\pi\) | |||||||
\(368\) | −1.55141 | − | 18.3927i | −0.0808726 | − | 0.958786i | ||||
\(369\) | 20.0188 | − | 5.16390i | 1.04214 | − | 0.268822i | ||||
\(370\) | 9.46905 | + | 15.0699i | 0.492273 | + | 0.783447i | ||||
\(371\) | −37.4335 | + | 14.2891i | −1.94345 | + | 0.741855i | ||||
\(372\) | −0.753294 | + | 1.36298i | −0.0390565 | + | 0.0706673i | ||||
\(373\) | 9.57110 | + | 4.60920i | 0.495573 | + | 0.238655i | 0.664939 | − | 0.746898i | \(-0.268458\pi\) |
−0.169366 | + | 0.985553i | \(0.554172\pi\) | |||||||
\(374\) | −2.89229 | + | 16.0138i | −0.149557 | + | 0.828055i | ||||
\(375\) | −34.5287 | − | 16.6281i | −1.78305 | − | 0.858673i | ||||
\(376\) | 5.81555 | − | 20.1862i | 0.299914 | − | 1.04102i | ||||
\(377\) | −1.67017 | − | 4.37537i | −0.0860179 | − | 0.225343i | ||||
\(378\) | 17.2408 | − | 1.94258i | 0.886773 | − | 0.0999153i | ||||
\(379\) | 22.9402 | − | 0.643641i | 1.17836 | − | 0.0330616i | 0.566524 | − | 0.824046i | \(-0.308288\pi\) |
0.611837 | + | 0.790984i | \(0.290431\pi\) | |||||||
\(380\) | 1.22950 | − | 1.84008i | 0.0630721 | − | 0.0943941i | ||||
\(381\) | −54.6898 | + | 10.8785i | −2.80184 | + | 0.557322i | ||||
\(382\) | −2.14999 | + | 12.6539i | −0.110003 | + | 0.647430i | ||||
\(383\) | −5.51844 | − | 19.1549i | −0.281979 | − | 0.978772i | −0.967950 | − | 0.251143i | \(-0.919194\pi\) |
0.685971 | − | 0.727629i | \(-0.259378\pi\) | |||||||
\(384\) | −22.3339 | + | 16.8080i | −1.13972 | + | 0.857729i | ||||
\(385\) | −20.5769 | − | 34.8829i | −1.04870 | − | 1.77780i | ||||
\(386\) | 5.52902 | − | 27.7963i | 0.281420 | − | 1.41479i | ||||
\(387\) | −17.9036 | − | 21.1914i | −0.910090 | − | 1.07722i | ||||
\(388\) | −0.527110 | + | 0.352203i | −0.0267599 | + | 0.0178804i | ||||
\(389\) | 1.06162 | − | 18.9038i | 0.0538261 | − | 0.958463i | −0.848983 | − | 0.528421i | \(-0.822784\pi\) |
0.902809 | − | 0.430042i | \(-0.141501\pi\) | |||||||
\(390\) | 13.5248 | − | 6.51319i | 0.684854 | − | 0.329808i | ||||
\(391\) | −19.9259 | − | 2.45494i | −1.00769 | − | 0.124151i | ||||
\(392\) | 21.0694 | − | 4.80895i | 1.06417 | − | 0.242889i | ||||
\(393\) | 6.63967 | + | 16.0296i | 0.334927 | + | 0.808585i | ||||
\(394\) | −20.2219 | + | 13.5119i | −1.01877 | + | 0.680718i | ||||
\(395\) | 4.93750 | − | 7.85799i | 0.248433 | − | 0.395378i | ||||
\(396\) | −0.778924 | − | 0.922431i | −0.0391424 | − | 0.0463539i | ||||
\(397\) | 0.460683 | + | 0.487280i | 0.0231210 | + | 0.0244559i | 0.738118 | − | 0.674672i | \(-0.235715\pi\) |
−0.714997 | + | 0.699128i | \(0.753572\pi\) | |||||||
\(398\) | 15.4924 | + | 8.00355i | 0.776563 | + | 0.401182i | ||||
\(399\) | 45.5254 | − | 40.6839i | 2.27912 | − | 2.03674i | ||||
\(400\) | 33.0070 | + | 5.60811i | 1.65035 | + | 0.280406i | ||||
\(401\) | −25.7575 | − | 6.64421i | −1.28627 | − | 0.331796i | −0.456409 | − | 0.889770i | \(-0.650864\pi\) |
−0.829858 | + | 0.557974i | \(0.811579\pi\) | |||||||
\(402\) | 3.80617 | + | 45.1241i | 0.189835 | + | 2.25059i | ||||
\(403\) | −2.58405 | + | 5.77479i | −0.128721 | + | 0.287663i | ||||
\(404\) | −0.948249 | + | 0.595825i | −0.0471772 | + | 0.0296434i | ||||
\(405\) | 12.1530 | + | 7.16888i | 0.603888 | + | 0.356225i | ||||
\(406\) | 10.9085 | − | 19.7374i | 0.541379 | − | 0.979551i | ||||
\(407\) | 6.19679 | − | 7.77053i | 0.307164 | − | 0.385171i | ||||
\(408\) | 13.6226 | + | 29.0557i | 0.674417 | + | 1.43847i | ||||
\(409\) | −14.9940 | − | 31.1354i | −0.741407 | − | 1.53955i | −0.838884 | − | 0.544311i | \(-0.816791\pi\) |
0.0974764 | − | 0.995238i | \(-0.468923\pi\) | |||||||
\(410\) | 24.0751 | + | 6.93592i | 1.18899 | + | 0.342541i | ||||
\(411\) | −5.06188 | + | 15.8815i | −0.249684 | + | 0.783375i | ||||
\(412\) | 0.478551 | − | 1.36762i | 0.0235765 | − | 0.0673778i | ||||
\(413\) | 16.9400 | − | 37.8573i | 0.833565 | − | 1.86283i | ||||
\(414\) | −20.6353 | + | 19.5090i | −1.01417 | + | 0.958814i | ||||
\(415\) | 26.6429 | + | 22.4980i | 1.30785 | + | 1.10438i | ||||
\(416\) | 0.457362 | − | 0.408724i | 0.0224240 | − | 0.0200393i | ||||
\(417\) | 1.93006 | − | 11.3595i | 0.0945156 | − | 0.556279i | ||||
\(418\) | 22.8143 | + | 5.88501i | 1.11588 | + | 0.287845i | ||||
\(419\) | −3.82969 | − | 12.0155i | −0.187093 | − | 0.586997i | −0.999989 | − | 0.00458899i | \(-0.998539\pi\) |
0.812897 | − | 0.582408i | \(-0.197889\pi\) | |||||||
\(420\) | −3.46075 | − | 1.54859i | −0.168867 | − | 0.0755633i | ||||
\(421\) | 4.39513 | + | 39.0078i | 0.214205 | + | 1.90113i | 0.396748 | + | 0.917928i | \(0.370139\pi\) |
−0.182542 | + | 0.983198i | \(0.558433\pi\) | |||||||
\(422\) | 20.2047 | + | 19.1019i | 0.983551 | + | 0.929866i | ||||
\(423\) | −28.3674 | + | 11.7502i | −1.37927 | + | 0.571313i | ||||
\(424\) | −30.4918 | −1.48081 | ||||||||
\(425\) | 13.3393 | − | 33.8847i | 0.647050 | − | 1.64365i | ||||
\(426\) | −3.56001 | + | 2.83901i | −0.172483 | + | 0.137551i | ||||
\(427\) | −13.7453 | − | 12.2836i | −0.665182 | − | 0.594443i | ||||
\(428\) | −0.0370587 | − | 0.262499i | −0.00179130 | − | 0.0126884i | ||||
\(429\) | −5.92754 | − | 5.92754i | −0.286184 | − | 0.286184i | ||||
\(430\) | −5.63976 | − | 33.1432i | −0.271973 | − | 1.59831i | ||||
\(431\) | 11.9240 | − | 17.8455i | 0.574359 | − | 0.859589i | −0.424592 | − | 0.905385i | \(-0.639582\pi\) |
0.998951 | + | 0.0457960i | \(0.0145824\pi\) | |||||||
\(432\) | 12.1461 | + | 3.13311i | 0.584377 | + | 0.150742i | ||||
\(433\) | −0.184955 | − | 3.29342i | −0.00888835 | − | 0.158272i | −0.999730 | − | 0.0232418i | \(-0.992601\pi\) |
0.990842 | − | 0.135030i | \(-0.0431130\pi\) | |||||||
\(434\) | −29.2735 | + | 8.43354i | −1.40517 | + | 0.404823i | ||||
\(435\) | −39.2623 | + | 17.5687i | −1.88248 | + | 0.842357i | ||||
\(436\) | 0.191248 | + | 0.127788i | 0.00915910 | + | 0.00611992i | ||||
\(437\) | −5.67094 | + | 28.5097i | −0.271278 | + | 1.36381i | ||||
\(438\) | −10.6778 | − | 6.70928i | −0.510203 | − | 0.320582i | ||||
\(439\) | 1.06512 | − | 12.6275i | 0.0508353 | − | 0.602679i | −0.924388 | − | 0.381455i | \(-0.875423\pi\) |
0.975223 | − | 0.221224i | \(-0.0710053\pi\) | |||||||
\(440\) | −5.16260 | − | 30.3849i | −0.246117 | − | 1.44854i | ||||
\(441\) | −24.6961 | − | 19.6945i | −1.17600 | − | 0.937832i | ||||
\(442\) | 3.08890 | + | 5.36295i | 0.146924 | + | 0.255090i | ||||
\(443\) | −4.99642 | − | 21.8907i | −0.237387 | − | 1.04006i | −0.943347 | − | 0.331809i | \(-0.892341\pi\) |
0.705960 | − | 0.708252i | \(-0.250516\pi\) | |||||||
\(444\) | 0.0521702 | − | 0.928976i | 0.00247589 | − | 0.0440873i | ||||
\(445\) | −15.9880 | + | 50.1618i | −0.757904 | + | 2.37790i | ||||
\(446\) | 12.7249 | + | 20.2515i | 0.602541 | + | 0.958938i | ||||
\(447\) | 44.5941 | + | 19.9546i | 2.10923 | + | 0.943820i | ||||
\(448\) | 31.4772 | + | 4.44385i | 1.48716 | + | 0.209952i | ||||
\(449\) | −5.69603 | − | 4.80987i | −0.268812 | − | 0.226992i | 0.500705 | − | 0.865618i | \(-0.333074\pi\) |
−0.769517 | + | 0.638627i | \(0.779503\pi\) | |||||||
\(450\) | −24.9157 | − | 45.0816i | −1.17454 | − | 2.12517i | ||||
\(451\) | −0.784487 | − | 13.9691i | −0.0369400 | − | 0.657778i | ||||
\(452\) | 0.919624 | + | 1.22197i | 0.0432555 | + | 0.0574764i | ||||
\(453\) | −51.2466 | + | 16.3338i | −2.40778 | + | 0.767427i | ||||
\(454\) | −7.49403 | − | 14.5061i | −0.351712 | − | 0.680805i | ||||
\(455\) | −14.5385 | − | 5.08723i | −0.681574 | − | 0.238493i | ||||
\(456\) | 43.4081 | − | 16.5697i | 2.03277 | − | 0.775949i | ||||
\(457\) | 23.2874 | − | 3.95669i | 1.08934 | − | 0.185086i | 0.405048 | − | 0.914296i | \(-0.367255\pi\) |
0.684291 | + | 0.729210i | \(0.260112\pi\) | |||||||
\(458\) | 8.93173 | + | 11.2000i | 0.417352 | + | 0.523343i | ||||
\(459\) | 6.04706 | − | 12.2303i | 0.282253 | − | 0.570860i | ||||
\(460\) | 1.75983 | − | 0.401671i | 0.0820527 | − | 0.0187280i | ||||
\(461\) | −0.847667 | + | 15.0941i | −0.0394798 | + | 0.703003i | 0.914767 | + | 0.403982i | \(0.132374\pi\) |
−0.954247 | + | 0.299021i | \(0.903340\pi\) | |||||||
\(462\) | 3.39273 | − | 40.2225i | 0.157844 | − | 1.87132i | ||||
\(463\) | −0.511764 | + | 0.321562i | −0.0237837 | + | 0.0149443i | −0.543871 | − | 0.839169i | \(-0.683042\pi\) |
0.520088 | + | 0.854113i | \(0.325899\pi\) | |||||||
\(464\) | 12.4570 | − | 10.5190i | 0.578300 | − | 0.488331i | ||||
\(465\) | 54.2860 | + | 20.7220i | 2.51745 | + | 0.960961i | ||||
\(466\) | −1.40424 | − | 7.05957i | −0.0650500 | − | 0.327028i | ||||
\(467\) | −6.90479 | + | 16.6696i | −0.319515 | + | 0.771378i | 0.679764 | + | 0.733431i | \(0.262082\pi\) |
−0.999280 | + | 0.0379478i | \(0.987918\pi\) | |||||||
\(468\) | −0.452676 | − | 0.0769128i | −0.0209250 | − | 0.00355530i | ||||
\(469\) | 29.9781 | − | 35.5012i | 1.38426 | − | 1.63929i | ||||
\(470\) | −36.8448 | − | 5.20161i | −1.69952 | − | 0.239933i | ||||
\(471\) | 40.0536 | + | 30.1434i | 1.84557 | + | 1.38893i | ||||
\(472\) | 22.3178 | − | 22.3178i | 1.02726 | − | 1.02726i | ||||
\(473\) | −16.4293 | + | 9.08553i | −0.755422 | + | 0.417753i | ||||
\(474\) | 8.54557 | − | 3.53969i | 0.392511 | − | 0.162583i | ||||
\(475\) | −47.5039 | − | 22.8767i | −2.17963 | − | 1.04965i | ||||
\(476\) | 0.531566 | − | 1.46997i | 0.0243643 | − | 0.0673761i | ||||
\(477\) | 27.7874 | + | 34.8443i | 1.27230 | + | 1.59541i | ||||
\(478\) | −14.9287 | − | 21.0400i | −0.682823 | − | 0.962349i | ||||
\(479\) | 5.00229 | + | 7.48645i | 0.228560 | + | 0.342065i | 0.927969 | − | 0.372657i | \(-0.121553\pi\) |
−0.699409 | + | 0.714722i | \(0.746553\pi\) | |||||||
\(480\) | −3.98355 | − | 3.98355i | −0.181823 | − | 0.181823i | ||||
\(481\) | −0.106013 | − | 3.77846i | −0.00483380 | − | 0.172283i | ||||
\(482\) | 3.51709 | + | 11.0347i | 0.160199 | + | 0.502618i | ||||
\(483\) | 49.7807 | + | 1.39671i | 2.26510 | + | 0.0635526i | ||||
\(484\) | 0.244532 | − | 0.135148i | 0.0111151 | − | 0.00614308i | ||||
\(485\) | 15.7619 | + | 17.6376i | 0.715711 | + | 0.800881i | ||||
\(486\) | 11.3334 | + | 25.3278i | 0.514096 | + | 1.14889i | ||||
\(487\) | −9.60032 | − | 16.2749i | −0.435032 | − | 0.737486i | 0.560872 | − | 0.827902i | \(-0.310466\pi\) |
−0.995904 | + | 0.0904163i | \(0.971180\pi\) | |||||||
\(488\) | −6.43880 | − | 12.4635i | −0.291471 | − | 0.564197i | ||||
\(489\) | 10.0084 | − | 6.28868i | 0.452594 | − | 0.284384i | ||||
\(490\) | −13.6515 | − | 35.7630i | −0.616710 | − | 1.61561i | ||||
\(491\) | −1.50384 | − | 1.34391i | −0.0678673 | − | 0.0606499i | 0.631723 | − | 0.775195i | \(-0.282348\pi\) |
−0.699590 | + | 0.714545i | \(0.746634\pi\) | |||||||
\(492\) | −0.816642 | − | 1.02404i | −0.0368171 | − | 0.0461671i | ||||
\(493\) | −8.41650 | − | 15.6093i | −0.379060 | − | 0.703006i | ||||
\(494\) | 8.07335 | − | 3.88792i | 0.363237 | − | 0.174926i | ||||
\(495\) | −30.0174 | + | 33.5895i | −1.34918 | + | 1.50974i | ||||
\(496\) | −21.9470 | − | 1.85121i | −0.985449 | − | 0.0831216i | ||||
\(497\) | 4.64279 | + | 0.523116i | 0.208257 | + | 0.0234650i | ||||
\(498\) | 8.68112 | + | 33.6539i | 0.389010 | + | 1.50807i | ||||
\(499\) | −11.7298 | + | 11.0895i | −0.525097 | + | 0.496435i | −0.903136 | − | 0.429354i | \(-0.858741\pi\) |
0.378040 | + | 0.925789i | \(0.376598\pi\) | |||||||
\(500\) | −0.0398427 | + | 1.42005i | −0.00178182 | + | 0.0635065i | ||||
\(501\) | −45.7429 | + | 13.1783i | −2.04364 | + | 0.588763i | ||||
\(502\) | −3.69136 | − | 4.13064i | −0.164754 | − | 0.184359i | ||||
\(503\) | 24.0141 | − | 10.7456i | 1.07074 | − | 0.479124i | 0.204556 | − | 0.978855i | \(-0.434425\pi\) |
0.866181 | + | 0.499731i | \(0.166568\pi\) | |||||||
\(504\) | −23.6634 | − | 40.1152i | −1.05405 | − | 1.78687i | ||||
\(505\) | 26.9594 | + | 31.9263i | 1.19968 | + | 1.42070i | ||||
\(506\) | 10.2245 | + | 16.2722i | 0.454535 | + | 0.723389i | ||||
\(507\) | 31.6561 | + | 2.67016i | 1.40590 | + | 0.118586i | ||||
\(508\) | 1.19610 | + | 1.68575i | 0.0530684 | + | 0.0747930i | ||||
\(509\) | − | 40.9145i | − | 1.81350i | −0.421665 | − | 0.906752i | \(-0.638554\pi\) | ||
0.421665 | − | 0.906752i | \(-0.361446\pi\) | |||||||
\(510\) | 47.5879 | − | 31.0872i | 2.10723 | − | 1.37656i | ||||
\(511\) | 2.87932 | + | 12.6151i | 0.127373 | + | 0.558059i | ||||
\(512\) | 21.0749 | + | 11.6477i | 0.931387 | + | 0.514760i | ||||
\(513\) | −17.0145 | − | 10.0366i | −0.751208 | − | 0.443126i | ||||
\(514\) | −33.1593 | + | 11.6029i | −1.46259 | + | 0.511783i | ||||
\(515\) | −53.0242 | − | 10.5472i | −2.33653 | − | 0.464764i | ||||
\(516\) | −0.762185 | + | 1.58370i | −0.0335533 | + | 0.0697187i | ||||
\(517\) | 4.05383 | + | 20.3800i | 0.178287 | + | 0.896311i | ||||
\(518\) | 13.5717 | − | 12.1285i | 0.596308 | − | 0.532894i | ||||
\(519\) | −21.0331 | + | 1.18119i | −0.923252 | + | 0.0518487i | ||||
\(520\) | −8.95572 | − | 7.56243i | −0.392734 | − | 0.331634i | ||||
\(521\) | −19.2192 | − | 7.33636i | −0.842009 | − | 0.321412i | −0.102645 | − | 0.994718i | \(-0.532731\pi\) |
−0.739364 | + | 0.673306i | \(0.764873\pi\) | |||||||
\(522\) | −24.6017 | − | 4.89359i | −1.07679 | − | 0.214187i | ||||
\(523\) | 21.0183 | − | 21.0183i | 0.919068 | − | 0.919068i | −0.0778937 | − | 0.996962i | \(-0.524819\pi\) |
0.996962 | + | 0.0778937i | \(0.0248195\pi\) | |||||||
\(524\) | 0.441840 | − | 0.467349i | 0.0193019 | − | 0.0204163i | ||||
\(525\) | −25.0066 | + | 86.7998i | −1.09138 | + | 3.78825i | ||||
\(526\) | 11.0357 | + | 2.51882i | 0.481179 | + | 0.109826i | ||||
\(527\) | −6.87065 | + | 22.9498i | −0.299290 | + | 0.999709i | ||||
\(528\) | 12.6622 | − | 26.2933i | 0.551051 | − | 1.14427i | ||||
\(529\) | −0.578913 | + | 0.410761i | −0.0251701 | + | 0.0178592i | ||||
\(530\) | 7.55010 | + | 53.4799i | 0.327955 | + | 2.32302i | ||||
\(531\) | −45.8419 | − | 5.16515i | −1.98937 | − | 0.224148i | ||||
\(532\) | −2.06583 | − | 0.924399i | −0.0895650 | − | 0.0400778i | ||||
\(533\) | −3.65557 | − | 3.86662i | −0.158340 | − | 0.167482i | ||||
\(534\) | −41.9268 | + | 31.5532i | −1.81435 | + | 1.36544i | ||||
\(535\) | −9.50502 | + | 2.73835i | −0.410938 | + | 0.118389i | ||||
\(536\) | 30.9480 | − | 17.1043i | 1.33675 | − | 0.738795i | ||||
\(537\) | 24.4365 | − | 18.3904i | 1.05451 | − | 0.793603i | ||||
\(538\) | −1.51784 | + | 10.7513i | −0.0654386 | + | 0.463523i | ||||
\(539\) | −16.3326 | + | 13.7916i | −0.703495 | + | 0.594048i | ||||
\(540\) | −0.137347 | + | 1.21899i | −0.00591046 | + | 0.0524568i | ||||
\(541\) | 2.85932 | − | 4.84725i | 0.122932 | − | 0.208399i | −0.793521 | − | 0.608543i | \(-0.791754\pi\) |
0.916452 | + | 0.400144i | \(0.131040\pi\) | |||||||
\(542\) | −20.4957 | + | 3.48237i | −0.880368 | + | 0.149581i | ||||
\(543\) | 3.92530 | − | 17.1978i | 0.168451 | − | 0.738030i | ||||
\(544\) | 1.51684 | − | 1.75891i | 0.0650340 | − | 0.0754127i | ||||
\(545\) | 3.72372 | − | 7.73238i | 0.159507 | − | 0.331219i | ||||
\(546\) | −8.88360 | − | 12.5203i | −0.380183 | − | 0.535818i | ||||
\(547\) | −2.58383 | − | 18.3021i | −0.110476 | − | 0.782541i | −0.964835 | − | 0.262857i | \(-0.915335\pi\) |
0.854358 | − | 0.519684i | \(-0.173950\pi\) | |||||||
\(548\) | 0.613994 | − | 0.0691806i | 0.0262285 | − | 0.00295525i | ||||
\(549\) | −8.37486 | + | 18.7160i | −0.357431 | + | 0.798779i | ||||
\(550\) | −33.2121 | + | 10.5856i | −1.41617 | + | 0.451373i | ||||
\(551\) | −23.4368 | + | 10.4873i | −0.998443 | + | 0.446775i | ||||
\(552\) | 35.0133 | + | 14.5030i | 1.49026 | + | 0.617288i | ||||
\(553\) | −8.76842 | − | 3.63200i | −0.372871 | − | 0.154448i | ||||
\(554\) | −0.239541 | − | 0.535322i | −0.0101771 | − | 0.0227436i | ||||
\(555\) | −34.5941 | + | 2.91798i | −1.46844 | + | 0.123861i | ||||
\(556\) | −0.413576 | + | 0.106683i | −0.0175395 | + | 0.00452437i | ||||
\(557\) | 7.80126 | + | 22.2947i | 0.330550 | + | 0.944657i | 0.982478 | + | 0.186377i | \(0.0596745\pi\) |
−0.651928 | + | 0.758281i | \(0.726040\pi\) | |||||||
\(558\) | 18.8256 | + | 28.1744i | 0.796950 | + | 1.19272i | ||||
\(559\) | −2.54468 | + | 6.67135i | −0.107629 | + | 0.282168i | ||||
\(560\) | − | 53.6224i | − | 2.26596i | ||||||
\(561\) | −25.1628 | − | 19.3496i | −1.06238 | − | 0.816940i | ||||
\(562\) | 1.85628 | + | 3.85461i | 0.0783025 | + | 0.162597i | ||||
\(563\) | 5.51086 | − | 9.97116i | 0.232255 | − | 0.420234i | −0.733500 | − | 0.679690i | \(-0.762114\pi\) |
0.965755 | + | 0.259455i | \(0.0835431\pi\) | |||||||
\(564\) | 1.41355 | + | 1.33640i | 0.0595213 | + | 0.0562725i | ||||
\(565\) | 40.3502 | − | 40.3502i | 1.69754 | − | 1.69754i | ||||
\(566\) | −12.1680 | − | 2.42037i | −0.511460 | − | 0.101736i | ||||
\(567\) | 5.14597 | − | 13.4810i | 0.216111 | − | 0.566149i | ||||
\(568\) | 3.15889 | + | 1.63192i | 0.132544 | + | 0.0684739i | ||||
\(569\) | 0.996196 | − | 1.40401i | 0.0417627 | − | 0.0588590i | −0.794148 | − | 0.607724i | \(-0.792083\pi\) |
0.835911 | + | 0.548865i | \(0.184940\pi\) | |||||||
\(570\) | −39.8101 | − | 72.0310i | −1.66746 | − | 3.01704i | ||||
\(571\) | −10.0008 | + | 38.7699i | −0.418521 | + | 1.62247i | 0.319425 | + | 0.947612i | \(0.396510\pi\) |
−0.737946 | + | 0.674860i | \(0.764204\pi\) | |||||||
\(572\) | −0.110816 | + | 0.290306i | −0.00463343 | + | 0.0121383i | ||||
\(573\) | −20.0046 | − | 15.0550i | −0.835705 | − | 0.628933i | ||||
\(574\) | 2.86879 | − | 25.4612i | 0.119741 | − | 1.06273i | ||||
\(575\) | −15.3369 | − | 40.1783i | −0.639592 | − | 1.67555i | ||||
\(576\) | −5.92289 | − | 34.8596i | −0.246787 | − | 1.45248i | ||||
\(577\) | 17.6801 | − | 8.51430i | 0.736033 | − | 0.354455i | −0.0280207 | − | 0.999607i | \(-0.508920\pi\) |
0.764054 | + | 0.645152i | \(0.223206\pi\) | |||||||
\(578\) | 14.2277 | + | 18.6217i | 0.591794 | + | 0.774559i | ||||
\(579\) | 43.2214 | + | 34.4679i | 1.79622 | + | 1.43244i | ||||
\(580\) | 1.18889 | + | 1.06246i | 0.0493660 | + | 0.0441162i | ||||
\(581\) | 18.1189 | − | 30.7160i | 0.751699 | − | 1.27432i | ||||
\(582\) | 2.63964 | + | 23.4275i | 0.109417 | + | 0.971100i | ||||
\(583\) | 26.7963 | − | 13.8433i | 1.10979 | − | 0.573331i | ||||
\(584\) | −1.37651 | + | 9.75031i | −0.0569606 | + | 0.403471i | ||||
\(585\) | −0.480503 | + | 17.1258i | −0.0198664 | + | 0.708064i | ||||
\(586\) | −3.30774 | − | 2.34697i | −0.136641 | − | 0.0969523i | ||||
\(587\) | 5.21003 | + | 18.0844i | 0.215041 | + | 0.746423i | 0.993001 | + | 0.118109i | \(0.0376833\pi\) |
−0.777960 | + | 0.628314i | \(0.783745\pi\) | |||||||
\(588\) | −0.499854 | + | 1.93777i | −0.0206136 | + | 0.0799124i | ||||
\(589\) | 32.4049 | + | 12.3696i | 1.33522 | + | 0.509681i | ||||
\(590\) | −44.6695 | − | 33.6173i | −1.83902 | − | 1.38400i | ||||
\(591\) | −5.31165 | − | 47.1422i | −0.218492 | − | 1.93917i | ||||
\(592\) | 12.2940 | − | 4.69287i | 0.505281 | − | 0.192876i | ||||
\(593\) | −40.9606 | − | 11.8005i | −1.68205 | − | 0.484590i | −0.707118 | − | 0.707095i | \(-0.750005\pi\) |
−0.974932 | + | 0.222505i | \(0.928577\pi\) | |||||||
\(594\) | −12.7326 | + | 2.90613i | −0.522424 | + | 0.119240i | ||||
\(595\) | −57.0824 | − | 11.9720i | −2.34015 | − | 0.490804i | ||||
\(596\) | − | 1.81098i | − | 0.0741806i | ||||||
\(597\) | −27.7407 | + | 19.6830i | −1.13535 | + | 0.805574i | ||||
\(598\) | 6.96376 | + | 2.21955i | 0.284769 | + | 0.0907642i | ||||
\(599\) | 1.63535 | − | 4.67357i | 0.0668188 | − | 0.190957i | −0.905632 | − | 0.424063i | \(-0.860603\pi\) |
0.972451 | + | 0.233106i | \(0.0748890\pi\) | |||||||
\(600\) | −41.3353 | + | 54.9251i | −1.68751 | + | 2.24231i | ||||
\(601\) | 14.1324 | + | 9.44296i | 0.576472 | + | 0.385186i | 0.809356 | − | 0.587318i | \(-0.199816\pi\) |
−0.232884 | + | 0.972505i | \(0.574816\pi\) | |||||||
\(602\) | −32.4496 | + | 11.3637i | −1.32255 | + | 0.463149i | ||||
\(603\) | −47.7490 | − | 19.7783i | −1.94449 | − | 0.805434i | ||||
\(604\) | 1.32855 | + | 1.48665i | 0.0540580 | + | 0.0604910i | ||||
\(605\) | −6.26864 | − | 8.32956i | −0.254856 | − | 0.338645i | ||||
\(606\) | 3.50051 | + | 41.5003i | 0.142198 | + | 1.68583i | ||||
\(607\) | −12.3270 | + | 0.345862i | −0.500337 | + | 0.0140381i | −0.277322 | − | 0.960777i | \(-0.589447\pi\) |
−0.223015 | + | 0.974815i | \(0.571590\pi\) | |||||||
\(608\) | −2.37790 | − | 2.37790i | −0.0964367 | − | 0.0964367i | ||||
\(609\) | 24.4390 | + | 36.5755i | 0.990318 | + | 1.48212i | ||||
\(610\) | −20.2655 | + | 14.3792i | −0.820527 | + | 0.582195i | ||||
\(611\) | 6.17862 | + | 4.92728i | 0.249960 | + | 0.199337i | ||||
\(612\) | −1.73738 | − | 0.0668108i | −0.0702296 | − | 0.00270067i | ||||
\(613\) | −18.0712 | + | 22.6606i | −0.729890 | + | 0.915254i | −0.998852 | − | 0.0478972i | \(-0.984748\pi\) |
0.268962 | + | 0.963151i | \(0.413319\pi\) | |||||||
\(614\) | −8.20892 | − | 0.461003i | −0.331285 | − | 0.0186046i | ||||
\(615\) | −33.5746 | + | 35.5130i | −1.35386 | + | 1.43202i | ||||
\(616\) | −29.7504 | + | 10.4101i | −1.19868 | + | 0.419435i | ||||
\(617\) | −26.6683 | + | 13.7772i | −1.07363 | + | 0.554649i | −0.902540 | − | 0.430607i | \(-0.858300\pi\) |
−0.171088 | + | 0.985256i | \(0.554728\pi\) | |||||||
\(618\) | −37.0179 | − | 39.1551i | −1.48908 | − | 1.57505i | ||||
\(619\) | 22.9205 | + | 0.643087i | 0.921253 | + | 0.0258479i | 0.485517 | − | 0.874227i | \(-0.338631\pi\) |
0.435735 | + | 0.900075i | \(0.356488\pi\) | |||||||
\(620\) | −0.120771 | − | 2.15053i | −0.00485028 | − | 0.0863672i | ||||
\(621\) | −4.46056 | − | 15.4829i | −0.178996 | − | 0.621309i | ||||
\(622\) | 36.6755 | + | 18.9470i | 1.47055 | + | 0.759706i | ||||
\(623\) | 53.3131 | + | 7.52656i | 2.13594 | + | 0.301545i | ||||
\(624\) | −2.77227 | − | 10.7472i | −0.110979 | − | 0.430232i | ||||
\(625\) | 8.79009 | − | 0.990406i | 0.351604 | − | 0.0396162i | ||||
\(626\) | −23.8101 | − | 7.58896i | −0.951643 | − | 0.303316i | ||||
\(627\) | −30.6245 | + | 34.2689i | −1.22303 | + | 1.36857i | ||||
\(628\) | 0.413488 | − | 1.81161i | 0.0165000 | − | 0.0722911i | ||||
\(629\) | −2.25086 | − | 14.1351i | −0.0897476 | − | 0.563601i | ||||
\(630\) | −64.4991 | + | 51.4363i | −2.56971 | + | 2.04927i | ||||
\(631\) | −21.2641 | − | 1.19417i | −0.846511 | − | 0.0475390i | −0.372472 | − | 0.928043i | \(-0.621490\pi\) |
−0.474038 | + | 0.880504i | \(0.657204\pi\) | |||||||
\(632\) | −5.24835 | − | 4.96188i | −0.208768 | − | 0.197373i | ||||
\(633\) | −51.1933 | + | 17.9133i | −2.03475 | + | 0.711991i | ||||
\(634\) | 32.4132 | − | 27.3705i | 1.28729 | − | 1.08702i | ||||
\(635\) | 56.0430 | − | 52.9840i | 2.22400 | − | 2.10261i | ||||
\(636\) | 1.29596 | − | 2.50857i | 0.0513881 | − | 0.0994712i | ||||
\(637\) | −1.36182 | + | 8.01510i | −0.0539573 | + | 0.317570i | ||||
\(638\) | −6.49617 | + | 15.6831i | −0.257186 | + | 0.620901i | ||||
\(639\) | −1.01385 | − | 5.09698i | −0.0401074 | − | 0.201633i | ||||
\(640\) | 13.7872 | − | 36.1187i | 0.544988 | − | 1.42772i | ||||
\(641\) | 5.12041 | − | 2.64527i | 0.202244 | − | 0.104482i | −0.354877 | − | 0.934913i | \(-0.615477\pi\) |
0.557121 | + | 0.830431i | \(0.311906\pi\) | |||||||
\(642\) | −9.30555 | − | 3.25615i | −0.367261 | − | 0.128510i | ||||
\(643\) | 22.6767 | − | 3.20142i | 0.894283 | − | 0.126252i | 0.322416 | − | 0.946598i | \(-0.395505\pi\) |
0.571867 | + | 0.820346i | \(0.306219\pi\) | |||||||
\(644\) | −0.706440 | − | 1.70550i | −0.0278376 | − | 0.0672060i | ||||
\(645\) | 62.4871 | + | 19.8993i | 2.46043 | + | 0.783533i | ||||
\(646\) | 28.4066 | − | 18.5569i | 1.11764 | − | 0.730111i | ||||
\(647\) | 1.10839 | − | 2.30159i | 0.0435751 | − | 0.0904847i | −0.878045 | − | 0.478579i | \(-0.841152\pi\) |
0.921620 | + | 0.388094i | \(0.126866\pi\) | |||||||
\(648\) | 7.31721 | − | 8.18796i | 0.287447 | − | 0.321653i | ||||
\(649\) | −9.48068 | + | 29.7453i | −0.372149 | + | 1.16760i | ||||
\(650\) | −7.05329 | + | 11.2253i | −0.276653 | + | 0.440291i | ||||
\(651\) | 11.5930 | − | 58.2821i | 0.454367 | − | 2.28426i | ||||
\(652\) | −0.364310 | − | 0.243424i | −0.0142675 | − | 0.00953323i | ||||
\(653\) | −6.35690 | − | 14.2063i | −0.248765 | − | 0.555934i | 0.745047 | − | 0.667012i | \(-0.232427\pi\) |
−0.993812 | + | 0.111078i | \(0.964570\pi\) | |||||||
\(654\) | 7.48650 | − | 4.13764i | 0.292745 | − | 0.161795i | ||||
\(655\) | −19.5713 | − | 13.8866i | −0.764715 | − | 0.542594i | ||||
\(656\) | 8.50239 | − | 16.4580i | 0.331962 | − | 0.642576i | ||||
\(657\) | 12.3965 | − | 7.31252i | 0.483635 | − | 0.285289i | ||||
\(658\) | 1.06727 | + | 38.0388i | 0.0416063 | + | 1.48291i | ||||
\(659\) | 9.04908 | + | 25.8608i | 0.352502 | + | 1.00739i | 0.974503 | + | 0.224376i | \(0.0720344\pi\) |
−0.622001 | + | 0.783017i | \(0.713680\pi\) | |||||||
\(660\) | 2.71919 | + | 0.866684i | 0.105844 | + | 0.0337356i | ||||
\(661\) | 6.37202 | + | 37.5030i | 0.247843 | + | 1.45870i | 0.787240 | + | 0.616646i | \(0.211509\pi\) |
−0.539398 | + | 0.842051i | \(0.681348\pi\) | |||||||
\(662\) | 21.5315 | + | 4.91442i | 0.836844 | + | 0.191004i | ||||
\(663\) | −12.0596 | + | 0.551676i | −0.468356 | + | 0.0214253i | ||||
\(664\) | 21.2179 | − | 16.9207i | 0.823414 | − | 0.656651i | ||||
\(665\) | −23.3777 | + | 81.1458i | −0.906549 | + | 3.14670i | ||||
\(666\) | −17.4376 | − | 10.2862i | −0.675693 | − | 0.398581i | ||||
\(667\) | −19.7678 | − | 6.91706i | −0.765414 | − | 0.267830i | ||||
\(668\) | 1.13846 | + | 1.34821i | 0.0440483 | + | 0.0521636i | ||||
\(669\) | −46.4890 | + | 3.92130i | −1.79737 | + | 0.151606i | ||||
\(670\) | −37.6625 | − | 50.0447i | −1.45503 | − | 1.93339i | ||||
\(671\) | 11.3169 | + | 8.02976i | 0.436883 | + | 0.309985i | ||||
\(672\) | −3.33391 | + | 4.69871i | −0.128608 | + | 0.181257i | ||||
\(673\) | 4.04931 | − | 4.79534i | 0.156089 | − | 0.184847i | −0.680382 | − | 0.732858i | \(-0.738186\pi\) |
0.836471 | + | 0.548011i | \(0.184615\pi\) | |||||||
\(674\) | 28.9049 | − | 17.0506i | 1.11338 | − | 0.656763i | ||||
\(675\) | 29.2144 | − | 0.819677i | 1.12446 | − | 0.0315494i | ||||
\(676\) | −0.388940 | − | 1.11153i | −0.0149592 | − | 0.0427510i | ||||
\(677\) | 32.8031 | + | 2.76691i | 1.26072 | + | 0.106341i | 0.695457 | − | 0.718567i | \(-0.255202\pi\) |
0.565267 | + | 0.824908i | \(0.308773\pi\) | |||||||
\(678\) | 56.0708 | − | 9.52681i | 2.15339 | − | 0.365875i | ||||
\(679\) | 15.0825 | − | 18.9129i | 0.578814 | − | 0.725810i | ||||
\(680\) | −37.3345 | − | 24.0032i | −1.43171 | − | 0.920481i | ||||
\(681\) | 31.8488 | 1.22045 | ||||||||
\(682\) | 21.1860 | − | 8.77554i | 0.811255 | − | 0.336033i | ||||
\(683\) | −10.2039 | + | 10.7930i | −0.390440 | + | 0.412981i | −0.891924 | − | 0.452185i | \(-0.850645\pi\) |
0.501484 | + | 0.865167i | \(0.332787\pi\) | |||||||
\(684\) | −0.281856 | + | 2.50154i | −0.0107770 | + | 0.0956489i | ||||
\(685\) | −5.75849 | − | 22.3238i | −0.220021 | − | 0.852950i | ||||
\(686\) | −2.10645 | + | 1.24256i | −0.0804246 | + | 0.0474412i | ||||
\(687\) | −27.4065 | + | 5.45149i | −1.04562 | + | 0.207987i | ||||
\(688\) | −24.8478 | − | 0.690957i | −0.947312 | − | 0.0263425i | ||||
\(689\) | 4.38968 | − | 10.5976i | 0.167233 | − | 0.403737i | ||||
\(690\) | 16.7672 | − | 65.0011i | 0.638317 | − | 2.47455i | ||||
\(691\) | 2.92841 | − | 20.7429i | 0.111402 | − | 0.789097i | −0.852479 | − | 0.522762i | \(-0.824902\pi\) |
0.963881 | − | 0.266335i | \(-0.0858127\pi\) | |||||||
\(692\) | 0.358415 | + | 0.693780i | 0.0136249 | + | 0.0263736i | ||||
\(693\) | 39.0078 | + | 24.5102i | 1.48178 | + | 0.931067i | ||||
\(694\) | −11.1198 | + | 7.43003i | −0.422103 | + | 0.282040i | ||||
\(695\) | 6.09870 | + | 14.7236i | 0.231337 | + | 0.558497i | ||||
\(696\) | 7.44904 | + | 32.6364i | 0.282355 | + | 1.23708i | ||||
\(697\) | −15.6216 | − | 12.7255i | −0.591712 | − | 0.482012i | ||||
\(698\) | 5.30163 | − | 23.2280i | 0.200670 | − | 0.879191i | ||||
\(699\) | 13.4916 | + | 3.88687i | 0.510299 | + | 0.147015i | ||||
\(700\) | 3.31552 | − | 0.468073i | 0.125315 | − | 0.0176915i | ||||
\(701\) | −8.77925 | − | 5.51637i | −0.331588 | − | 0.208350i | 0.355939 | − | 0.934509i | \(-0.384161\pi\) |
−0.687527 | + | 0.726159i | \(0.741304\pi\) | |||||||
\(702\) | −2.98673 | + | 3.96867i | −0.112727 | + | 0.149788i | ||||
\(703\) | −20.6503 | + | 1.74183i | −0.778840 | + | 0.0656944i | ||||
\(704\) | −23.9198 | − | 0.671124i | −0.901511 | − | 0.0252939i | ||||
\(705\) | 42.0016 | − | 59.1958i | 1.58187 | − | 2.22944i | ||||
\(706\) | 8.84357 | − | 0.496644i | 0.332832 | − | 0.0186915i | ||||
\(707\) | 27.5706 | − | 32.6502i | 1.03690 | − | 1.22794i | ||||
\(708\) | 0.887544 | + | 2.78464i | 0.0333560 | + | 0.104653i | ||||
\(709\) | 19.4287 | − | 5.01169i | 0.729661 | − | 0.188218i | 0.133461 | − | 0.991054i | \(-0.457391\pi\) |
0.596200 | + | 0.802836i | \(0.296677\pi\) | |||||||
\(710\) | 2.08006 | − | 5.94448i | 0.0780634 | − | 0.223092i | ||||
\(711\) | −0.887293 | + | 10.5193i | −0.0332761 | + | 0.394505i | ||||
\(712\) | 35.8611 | + | 19.8197i | 1.34395 | + | 0.742776i | ||||
\(713\) | 12.2753 | + | 25.4899i | 0.459713 | + | 0.954603i | ||||
\(714\) | −39.4948 | − | 42.6538i | −1.47806 | − | 1.59628i | ||||
\(715\) | 11.3037 | + | 2.57999i | 0.422733 | + | 0.0964861i | ||||
\(716\) | −0.992223 | − | 0.548382i | −0.0370811 | − | 0.0204940i | ||||
\(717\) | 49.8285 | − | 7.03462i | 1.86088 | − | 0.262713i | ||||
\(718\) | −1.60125 | + | 2.54837i | −0.0597581 | + | 0.0951044i | ||||
\(719\) | −12.5094 | + | 16.6221i | −0.466524 | + | 0.619902i | −0.969705 | − | 0.244279i | \(-0.921449\pi\) |
0.503181 | + | 0.864181i | \(0.332163\pi\) | |||||||
\(720\) | −56.8273 | + | 18.1125i | −2.11783 | + | 0.675013i | ||||
\(721\) | −1.55064 | + | 55.2670i | −0.0577490 | + | 2.05825i | ||||
\(722\) | −11.0943 | − | 20.0737i | −0.412888 | − | 0.747065i | ||||
\(723\) | −22.2723 | − | 3.78421i | −0.828315 | − | 0.140736i | ||||
\(724\) | −0.641326 | + | 0.127568i | −0.0238347 | + | 0.00474102i | ||||
\(725\) | 21.1048 | − | 31.5855i | 0.783811 | − | 1.17306i | ||||
\(726\) | −0.291408 | − | 10.3862i | −0.0108152 | − | 0.385467i | ||||
\(727\) | 26.1498 | + | 2.94637i | 0.969841 | + | 0.109275i | 0.582649 | − | 0.812724i | \(-0.302016\pi\) |
0.387192 | + | 0.921999i | \(0.373445\pi\) | |||||||
\(728\) | −6.09046 | + | 10.3248i | −0.225728 | + | 0.382664i | ||||
\(729\) | −42.6768 | − | 2.39668i | −1.58062 | − | 0.0887659i | ||||
\(730\) | 17.4420 | 0.645556 | ||||||||
\(731\) | −6.28318 | + | 26.2968i | −0.232392 | + | 0.972622i | ||||
\(732\) | 1.29904 | 0.0480137 | ||||||||
\(733\) | 1.22632 | + | 0.0688684i | 0.0452950 | + | 0.00254371i | 0.0787035 | − | 0.996898i | \(-0.474922\pi\) |
−0.0334085 | + | 0.999442i | \(0.510636\pi\) | |||||||
\(734\) | −14.9520 | + | 25.3473i | −0.551888 | + | 0.935586i | ||||
\(735\) | 74.2003 | + | 8.36036i | 2.73692 | + | 0.308377i | ||||
\(736\) | −0.0769296 | − | 2.74187i | −0.00283566 | − | 0.101067i | ||||
\(737\) | −19.4318 | + | 29.0818i | −0.715780 | + | 1.07124i | ||||
\(738\) | −27.9521 | + | 5.56001i | −1.02893 | + | 0.204667i | ||||
\(739\) | 48.2693 | + | 8.20128i | 1.77561 | + | 0.301689i | 0.960637 | − | 0.277805i | \(-0.0896070\pi\) |
0.814976 | + | 0.579494i | \(0.196750\pi\) | |||||||
\(740\) | 0.622499 | + | 1.12633i | 0.0228835 | + | 0.0414046i | ||||
\(741\) | −0.490222 | + | 17.4722i | −0.0180087 | + | 0.641856i | ||||
\(742\) | 52.6263 | − | 16.7735i | 1.93197 | − | 0.615774i | ||||
\(743\) | 21.3028 | − | 28.3064i | 0.781523 | − | 1.03846i | −0.216542 | − | 0.976273i | \(-0.569478\pi\) |
0.998064 | − | 0.0621886i | \(-0.0198080\pi\) | |||||||
\(744\) | 24.0594 | − | 38.2903i | 0.882060 | − | 1.40379i | ||||
\(745\) | −66.9086 | + | 9.44592i | −2.45134 | + | 0.346072i | ||||
\(746\) | −12.8170 | − | 7.08368i | −0.469262 | − | 0.259352i | ||||
\(747\) | −38.6721 | − | 8.82665i | −1.41494 | − | 0.322950i | ||||
\(748\) | −0.273726 | + | 1.14435i | −0.0100084 | + | 0.0418417i | ||||
\(749\) | 4.38911 | + | 9.11409i | 0.160375 | + | 0.333022i | ||||
\(750\) | 46.2384 | + | 25.5551i | 1.68839 | + | 0.933139i | ||||
\(751\) | −3.70689 | + | 43.9471i | −0.135267 | + | 1.60365i | 0.523983 | + | 0.851729i | \(0.324445\pi\) |
−0.659250 | + | 0.751924i | \(0.729126\pi\) | |||||||
\(752\) | −9.08667 | + | 25.9682i | −0.331357 | + | 0.946963i | ||||
\(753\) | 10.4634 | − | 2.69905i | 0.381306 | − | 0.0983589i | ||||
\(754\) | 1.96055 | + | 6.15115i | 0.0713989 | + | 0.224012i | ||||
\(755\) | 47.9963 | − | 56.8390i | 1.74676 | − | 2.06858i | ||||
\(756\) | 1.25254 | − | 0.0703410i | 0.0455543 | − | 0.00255828i | ||||
\(757\) | 3.92263 | − | 5.52844i | 0.142571 | − | 0.200934i | −0.738064 | − | 0.674731i | \(-0.764260\pi\) |
0.880634 | + | 0.473797i | \(0.157117\pi\) | |||||||
\(758\) | −31.6236 | − | 0.887273i | −1.14862 | − | 0.0322272i | ||||
\(759\) | −37.3542 | + | 3.15079i | −1.35587 | + | 0.114366i | ||||
\(760\) | −38.6428 | + | 51.3473i | −1.40172 | + | 1.86256i | ||||
\(761\) | 34.0764 | + | 21.4116i | 1.23527 | + | 0.776171i | 0.981568 | − | 0.191112i | \(-0.0612093\pi\) |
0.253701 | + | 0.967283i | \(0.418352\pi\) | |||||||
\(762\) | 76.1134 | − | 10.7454i | 2.75730 | − | 0.389266i | ||||
\(763\) | −8.43385 | − | 2.42975i | −0.305326 | − | 0.0879629i | ||||
\(764\) | −0.206515 | + | 0.904803i | −0.00747146 | + | 0.0327346i | ||||
\(765\) | 6.59366 | + | 64.5380i | 0.238394 | + | 2.33338i | ||||
\(766\) | 6.11476 | + | 26.7905i | 0.220935 | + | 0.967981i | ||||
\(767\) | 4.54376 | + | 10.9696i | 0.164066 | + | 0.396090i | ||||
\(768\) | −5.33504 | + | 3.56476i | −0.192512 | + | 0.128632i | ||||
\(769\) | 27.4643 | + | 17.2569i | 0.990387 | + | 0.622301i | 0.926753 | − | 0.375672i | \(-0.122588\pi\) |
0.0636342 | + | 0.997973i | \(0.479731\pi\) | |||||||
\(770\) | 25.6249 | + | 49.6017i | 0.923456 | + | 1.78752i | ||||
\(771\) | 9.57938 | − | 67.8539i | 0.344993 | − | 2.44370i | ||||
\(772\) | 0.511848 | − | 1.98427i | 0.0184218 | − | 0.0714155i | ||||
\(773\) | −6.48063 | + | 15.6456i | −0.233092 | + | 0.562734i | −0.996538 | − | 0.0831374i | \(-0.973506\pi\) |
0.763446 | + | 0.645872i | \(0.223506\pi\) | |||||||
\(774\) | 23.0037 | + | 30.5507i | 0.826850 | + | 1.09812i | ||||
\(775\) | −50.3306 | + | 10.0114i | −1.80793 | + | 0.359619i | ||||
\(776\) | 15.8559 | − | 9.35315i | 0.569193 | − | 0.335759i | ||||
\(777\) | 8.86809 | + | 34.3787i | 0.318141 | + | 1.23333i | ||||
\(778\) | −2.92232 | + | 25.9363i | −0.104770 | + | 0.929862i | ||||
\(779\) | −20.0417 | + | 21.1988i | −0.718068 | + | 0.759525i | ||||
\(780\) | 1.00280 | − | 0.415372i | 0.0359059 | − | 0.0148727i | ||||
\(781\) | −3.51694 | −0.125846 | ||||||||
\(782\) | 27.2353 | + | 4.91902i | 0.973932 | + | 0.175904i | ||||
\(783\) | 8.87378 | − | 11.1274i | 0.317123 | − | 0.397660i | ||||
\(784\) | −27.9032 | + | 4.74095i | −0.996544 | + | 0.169320i | ||||
\(785\) | −69.0886 | − | 5.82755i | −2.46588 | − | 0.207994i | ||||
\(786\) | −7.89953 | − | 22.5756i | −0.281767 | − | 0.805244i | ||||
\(787\) | 0.468256 | − | 0.0131380i | 0.0166915 | − | 0.000468319i | −0.0196995 | − | 0.999806i | \(-0.506271\pi\) |
0.0363910 | + | 0.999338i | \(0.488414\pi\) | |||||||
\(788\) | −1.51466 | + | 0.893473i | −0.0539574 | + | 0.0318286i | ||||
\(789\) | −14.2454 | + | 16.8700i | −0.507151 | + | 0.600587i | ||||
\(790\) | −7.40313 | + | 10.4337i | −0.263391 | + | 0.371215i | ||||
\(791\) | −47.5941 | − | 33.7698i | −1.69225 | − | 1.20072i | ||||
\(792\) | 21.0813 | + | 28.0122i | 0.749093 | + | 0.995370i | ||||
\(793\) | 5.25871 | − | 0.443567i | 0.186742 | − | 0.0157515i | ||||
\(794\) | −0.596399 | − | 0.706279i | −0.0211654 | − | 0.0250649i | ||||
\(795\) | −99.4414 | − | 34.7960i | −3.52682 | − | 1.23409i | ||||
\(796\) | 1.08599 | + | 0.640608i | 0.0384918 | + | 0.0227057i | ||||
\(797\) | 6.57648 | − | 22.8275i | 0.232951 | − | 0.808590i | −0.755251 | − | 0.655435i | \(-0.772485\pi\) |
0.988202 | − | 0.153155i | \(-0.0489433\pi\) | |||||||
\(798\) | −65.8036 | + | 52.4766i | −2.32942 | + | 1.85765i | ||||
\(799\) | 25.6151 | + | 15.4708i | 0.906196 | + | 0.547317i | ||||
\(800\) | 4.85055 | + | 1.10711i | 0.171493 | + | 0.0391422i | ||||
\(801\) | −10.0316 | − | 59.0419i | −0.354450 | − | 2.08614i | ||||
\(802\) | 34.9378 | + | 11.1357i | 1.23370 | + | 0.393215i | ||||
\(803\) | −3.21696 | − | 9.19354i | −0.113524 | − | 0.324433i | ||||
\(804\) | 0.0918333 | + | 3.27306i | 0.00323871 | + | 0.115432i | ||||
\(805\) | −59.3267 | + | 34.9959i | −2.09099 | + | 1.23344i | ||||
\(806\) | 4.00293 | − | 7.74843i | 0.140997 | − | 0.272927i | ||||
\(807\) | −17.2734 | − | 12.2561i | −0.608053 | − | 0.431436i | ||||
\(808\) | 28.4626 | − | 15.7307i | 1.00131 | − | 0.553405i | ||||
\(809\) | −0.317380 | − | 0.709274i | −0.0111585 | − | 0.0249367i | 0.907119 | − | 0.420875i | \(-0.138277\pi\) |
−0.918277 | + | 0.395938i | \(0.870420\pi\) | |||||||
\(810\) | −16.1727 | − | 10.8063i | −0.568252 | − | 0.379694i | ||||
\(811\) | −8.77217 | + | 44.1007i | −0.308033 | + | 1.54858i | 0.447989 | + | 0.894039i | \(0.352140\pi\) |
−0.756022 | + | 0.654546i | \(0.772860\pi\) | |||||||
\(812\) | 0.867533 | − | 1.38067i | 0.0304444 | − | 0.0484520i | ||||
\(813\) | 12.3148 | − | 38.6374i | 0.431900 | − | 1.35507i | ||||
\(814\) | −9.12960 | + | 10.2160i | −0.319992 | + | 0.358071i | ||||
\(815\) | −7.09336 | + | 14.7295i | −0.248470 | + | 0.515952i | ||||
\(816\) | −15.6791 | − | 38.9932i | −0.548877 | − | 1.36503i | ||||
\(817\) | 37.3005 | + | 11.8785i | 1.30498 | + | 0.415575i | ||||
\(818\) | 18.2305 | + | 44.0123i | 0.637415 | + | 1.53886i | ||||
\(819\) | 17.3489 | − | 2.44926i | 0.606220 | − | 0.0855841i | ||||
\(820\) | 1.70993 | + | 0.598330i | 0.0597133 | + | 0.0208946i | ||||
\(821\) | −8.85969 | + | 4.57702i | −0.309205 | + | 0.159739i | −0.606582 | − | 0.795021i | \(-0.707460\pi\) |
0.297377 | + | 0.954760i | \(0.403888\pi\) | |||||||
\(822\) | 8.19448 | − | 21.4673i | 0.285815 | − | 0.748757i | ||||
\(823\) | −0.809356 | − | 4.06891i | −0.0282124 | − | 0.141833i | 0.964112 | − | 0.265496i | \(-0.0855358\pi\) |
−0.992324 | + | 0.123663i | \(0.960536\pi\) | |||||||
\(824\) | −16.1013 | + | 38.8721i | −0.560917 | + | 1.35417i | ||||
\(825\) | 11.3896 | − | 67.0346i | 0.396536 | − | 2.33385i | ||||
\(826\) | −26.2416 | + | 50.7956i | −0.913063 | + | 1.76741i | ||||
\(827\) | 39.5250 | − | 37.3676i | 1.37442 | − | 1.29940i | 0.463928 | − | 0.885873i | \(-0.346440\pi\) |
0.910492 | − | 0.413527i | \(-0.135703\pi\) | |||||||
\(828\) | −1.56881 | + | 1.32474i | −0.0545200 | + | 0.0460381i | ||||
\(829\) | 17.5224 | − | 6.13134i | 0.608577 | − | 0.212950i | −0.00835727 | − | 0.999965i | \(-0.502660\pi\) |
0.616934 | + | 0.787015i | \(0.288375\pi\) | |||||||
\(830\) | −34.9311 | − | 33.0245i | −1.21248 | − | 1.14630i | ||||
\(831\) | 1.14219 | + | 0.0641438i | 0.0396220 | + | 0.00222512i | ||||
\(832\) | −7.11524 | + | 5.67421i | −0.246677 | + | 0.196718i | ||||
\(833\) | −1.18295 | + | 30.7622i | −0.0409869 | + | 1.06585i | ||||
\(834\) | −3.53448 | + | 15.4856i | −0.122389 | + | 0.536221i | ||||
\(835\) | 43.8728 | − | 49.0937i | 1.51828 | − | 1.69896i | ||||
\(836\) | 1.62317 | + | 0.517350i | 0.0561384 | + | 0.0178929i | ||||
\(837\) | −19.1054 | + | 2.15267i | −0.660381 | + | 0.0744070i | ||||
\(838\) | 4.34228 | + | 16.8336i | 0.150002 | + | 0.581508i | ||||
\(839\) | −25.3841 | − | 3.58364i | −0.876356 | − | 0.123721i | −0.312820 | − | 0.949812i | \(-0.601274\pi\) |
−0.563536 | + | 0.826092i | \(0.690559\pi\) | |||||||
\(840\) | 97.8158 | + | 50.5329i | 3.37497 | + | 1.74355i | ||||
\(841\) | 2.90699 | + | 10.0904i | 0.100241 | + | 0.347945i | ||||
\(842\) | −3.03416 | − | 54.0283i | −0.104564 | − | 1.86194i | ||||
\(843\) | −8.34205 | − | 0.234055i | −0.287316 | − | 0.00806130i | ||||
\(844\) | 1.38119 | + | 1.46093i | 0.0475425 | + | 0.0502874i | ||||
\(845\) | −39.0378 | + | 20.1674i | −1.34294 | + | 0.693780i | ||||
\(846\) | 39.9518 | − | 13.9797i | 1.37357 | − | 0.480634i | ||||
\(847\) | −7.32421 | + | 7.74707i | −0.251663 | + | 0.266192i | ||||
\(848\) | 39.8708 | + | 2.23909i | 1.36917 | + | 0.0768908i | ||||
\(849\) | 15.0886 | − | 18.9205i | 0.517839 | − | 0.649350i | ||||
\(850\) | −20.9787 | + | 45.6062i | −0.719562 | + | 1.56428i | ||||
\(851\) | −13.2156 | − | 10.5391i | −0.453026 | − | 0.361276i | ||||
\(852\) | −0.268517 | + | 0.190523i | −0.00919923 | + | 0.00652721i | ||||
\(853\) | −24.3820 | − | 36.4903i | −0.834825 | − | 1.24940i | −0.966128 | − | 0.258062i | \(-0.916916\pi\) |
0.131303 | − | 0.991342i | \(-0.458084\pi\) | |||||||
\(854\) | 17.9690 | + | 17.9690i | 0.614885 | + | 0.614885i | ||||
\(855\) | 93.8923 | − | 2.63436i | 3.21105 | − | 0.0900934i | ||||
\(856\) | 0.647037 | + | 7.67095i | 0.0221153 | + | 0.262188i | ||||
\(857\) | 17.4910 | + | 23.2415i | 0.597482 | + | 0.793914i | 0.992169 | − | 0.124901i | \(-0.0398614\pi\) |
−0.394688 | + | 0.918815i | \(0.629147\pi\) | |||||||
\(858\) | 7.70023 | + | 8.61656i | 0.262881 | + | 0.294164i | ||||
\(859\) | −17.4435 | − | 7.22532i | −0.595163 | − | 0.246525i | 0.0647068 | − | 0.997904i | \(-0.479389\pi\) |
−0.659870 | + | 0.751380i | \(0.729389\pi\) | |||||||
\(860\) | −0.272778 | − | 2.41556i | −0.00930167 | − | 0.0823699i | ||||
\(861\) | 41.5565 | + | 27.7671i | 1.41624 | + | 0.946302i | ||||
\(862\) | −17.7910 | + | 23.6401i | −0.605964 | + | 0.805185i | ||||
\(863\) | 13.1737 | − | 37.6482i | 0.448437 | − | 1.28156i | −0.468831 | − | 0.883288i | \(-0.655325\pi\) |
0.917268 | − | 0.398271i | \(-0.130390\pi\) | |||||||
\(864\) | 1.77602 | + | 0.566068i | 0.0604214 | + | 0.0192580i | ||||
\(865\) | 23.7630 | − | 16.8607i | 0.807966 | − | 0.573282i | ||||
\(866\) | 4.54721i | 0.154520i | ||||||||
\(867\) | −45.0098 | + | 7.98494i | −1.52861 | + | 0.271183i | ||||
\(868\) | −2.14752 | + | 0.490158i | −0.0728916 | + | 0.0166370i | ||||
\(869\) | 6.86496 | + | 1.97776i | 0.232878 | + | 0.0670910i | ||||
\(870\) | 55.3968 | − | 21.1461i | 1.87813 | − | 0.716918i | ||||
\(871\) | 1.48937 | + | 13.2185i | 0.0504654 | + | 0.447893i | ||||
\(872\) | −5.33676 | − | 4.01632i | −0.180725 | − | 0.136010i | ||||
\(873\) | −25.1378 | − | 9.59562i | −0.850787 | − | 0.324763i | ||||
\(874\) | 10.0089 | − | 38.8012i | 0.338555 | − | 1.31247i | ||||
\(875\) | −15.0067 | − | 52.0895i | −0.507320 | − | 1.76095i | ||||
\(876\) | −0.743655 | − | 0.527652i | −0.0251258 | − | 0.0178277i | ||||
\(877\) | 0.127909 | − | 4.55884i | 0.00431917 | − | 0.153941i | −0.994479 | − | 0.104933i | \(-0.966537\pi\) |
0.998798 | − | 0.0490075i | \(-0.0156058\pi\) | |||||||
\(878\) | −2.44202 | + | 17.2976i | −0.0824141 | + | 0.583766i | ||||
\(879\) | 7.02877 | − | 3.63115i | 0.237074 | − | 0.122476i | ||||
\(880\) | 4.51931 | + | 40.1100i | 0.152346 | + | 1.35211i | ||||
\(881\) | 6.75302 | − | 11.4480i | 0.227515 | − | 0.385694i | −0.725688 | − | 0.688023i | \(-0.758479\pi\) |
0.953203 | + | 0.302330i | \(0.0977643\pi\) | |||||||
\(882\) | 32.4683 | + | 29.0154i | 1.09326 | + | 0.977001i | ||||
\(883\) | −30.6520 | − | 24.4442i | −1.03152 | − | 0.822612i | −0.0471814 | − | 0.998886i | \(-0.515024\pi\) |
−0.984341 | + | 0.176275i | \(0.943595\pi\) | |||||||
\(884\) | 0.201253 | + | 0.399689i | 0.00676887 | + | 0.0134430i | ||||
\(885\) | 98.2521 | − | 47.3157i | 3.30271 | − | 1.59050i | ||||
\(886\) | 5.18481 | + | 30.5156i | 0.174187 | + | 1.02519i | ||||
\(887\) | −4.91826 | − | 12.8845i | −0.165139 | − | 0.432618i | 0.826293 | − | 0.563240i | \(-0.190445\pi\) |
−0.991432 | + | 0.130622i | \(0.958302\pi\) | |||||||
\(888\) | −3.02513 | + | 26.8488i | −0.101517 | + | 0.900986i | ||||
\(889\) | −63.0201 | − | 47.4275i | −2.11362 | − | 1.59067i | ||||
\(890\) | 25.8824 | − | 67.8046i | 0.867579 | − | 2.27282i | ||||
\(891\) | −2.71305 | + | 10.5176i | −0.0908906 | + | 0.352354i | ||||
\(892\) | 0.836539 | + | 1.51360i | 0.0280094 | + | 0.0506792i | ||||
\(893\) | 25.0720 | − | 35.3357i | 0.839004 | − | 1.18247i | ||||
\(894\) | −59.8349 | − | 30.9115i | −2.00118 | − | 1.03383i | ||||
\(895\) | −15.0852 | + | 39.5191i | −0.504243 | + | 1.32098i | ||||
\(896\) | −38.7775 | − | 7.71333i | −1.29547 | − | 0.257684i | ||||
\(897\) | −10.0812 | + | 10.0812i | −0.336601 | + | 0.336601i | ||||
\(898\) | 7.46797 | + | 7.06035i | 0.249210 | + | 0.235607i | ||||
\(899\) | −12.0882 | + | 21.8720i | −0.403165 | + | 0.729473i | ||||
\(900\) | −1.61596 | − | 3.35558i | −0.0538653 | − | 0.111853i | ||||
\(901\) | 11.2853 | − | 41.9435i | 0.375968 | − | 1.39734i | ||||
\(902\) | 19.2870i | 0.642188i | ||||||||
\(903\) | 9.35861 | − | 66.4098i | 0.311435 | − | 2.20998i | ||||
\(904\) | −24.6729 | − | 36.9257i | −0.820610 | − | 1.22813i | ||||
\(905\) | 8.05823 | + | 23.0291i | 0.267865 | + | 0.765513i | ||||
\(906\) | 71.7960 | − | 18.5200i | 2.38526 | − | 0.615285i | ||||
\(907\) | −25.8130 | + | 2.17730i | −0.857108 | + | 0.0722962i | −0.504434 | − | 0.863450i | \(-0.668299\pi\) |
−0.352674 | + | 0.935746i | \(0.614727\pi\) | |||||||
\(908\) | −0.482203 | − | 1.07762i | −0.0160025 | − | 0.0357620i | ||||
\(909\) | −43.9144 | − | 18.1899i | −1.45655 | − | 0.603322i | ||||
\(910\) | 19.6169 | + | 8.12557i | 0.650293 | + | 0.269360i | ||||
\(911\) | −52.9258 | + | 23.6828i | −1.75351 | + | 0.784645i | −0.763133 | + | 0.646241i | \(0.776340\pi\) |
−0.990376 | + | 0.138404i | \(0.955803\pi\) | |||||||
\(912\) | −57.9767 | + | 18.4788i | −1.91980 | + | 0.611895i | ||||
\(913\) | −10.9644 | + | 24.5029i | −0.362867 | + | 0.810929i | ||||
\(914\) | −32.3575 | + | 3.64582i | −1.07029 | + | 0.120593i | ||||
\(915\) | −6.77567 | − | 47.9943i | −0.223997 | − | 1.58664i | ||||
\(916\) | 0.599398 | + | 0.844772i | 0.0198047 | + | 0.0279120i | ||||
\(917\) | −10.6481 | + | 22.1111i | −0.351632 | + | 0.730172i | ||||
\(918\) | −9.26823 | + | 16.3658i | −0.305897 | + | 0.540151i | ||||
\(919\) | 8.40965 | − | 36.8451i | 0.277409 | − | 1.21541i | −0.623648 | − | 0.781705i | \(-0.714350\pi\) |
0.901057 | − | 0.433702i | \(-0.142793\pi\) | |||||||
\(920\) | −51.6767 | + | 8.78023i | −1.70373 | + | 0.289475i | ||||
\(921\) | 8.14838 | − | 13.8135i | 0.268498 | − | 0.455170i | ||||
\(922\) | 2.33338 | − | 20.7093i | 0.0768458 | − | 0.682025i | ||||
\(923\) | −1.02194 | + | 0.862955i | −0.0336377 | + | 0.0284045i | ||||
\(924\) | 0.408003 | − | 2.89002i | 0.0134223 | − | 0.0950746i | ||||
\(925\) | 24.4978 | − | 18.4365i | 0.805484 | − | 0.606189i | ||||
\(926\) | 0.729223 | − | 0.403027i | 0.0239637 | − | 0.0132443i | ||||
\(927\) | 59.0941 | − | 17.0247i | 1.94090 | − | 0.559165i | ||||
\(928\) | 1.93590 | − | 1.45691i | 0.0635490 | − | 0.0478256i | ||||
\(929\) | −16.3309 | − | 17.2737i | −0.535798 | − | 0.566732i | 0.401234 | − | 0.915976i | \(-0.368581\pi\) |
−0.937032 | + | 0.349244i | \(0.886439\pi\) | |||||||
\(930\) | −73.1150 | − | 32.7169i | −2.39753 | − | 1.07283i | ||||
\(931\) | 44.2924 | + | 4.99055i | 1.45162 | + | 0.163559i | ||||
\(932\) | −0.0727543 | − | 0.515342i | −0.00238315 | − | 0.0168806i | ||||
\(933\) | −65.6712 | + | 46.5962i | −2.14998 | + | 1.52549i | ||||
\(934\) | 10.7919 | − | 22.4096i | 0.353122 | − | 0.733265i | ||||
\(935\) | 43.7071 | + | 4.14424i | 1.42938 | + | 0.135531i | ||||
\(936\) | 12.9992 | + | 2.96698i | 0.424891 | + | 0.0969786i | ||||
\(937\) | 6.07565 | − | 21.0891i | 0.198483 | − | 0.688949i | −0.797809 | − | 0.602910i | \(-0.794008\pi\) |
0.996292 | − | 0.0860389i | \(-0.0274209\pi\) | |||||||
\(938\) | −44.0045 | + | 46.5450i | −1.43680 | + | 1.51975i | ||||
\(939\) | 34.4690 | − | 34.4690i | 1.12485 | − | 1.12485i | ||||
\(940\) | −2.63883 | − | 0.524896i | −0.0860692 | − | 0.0171202i | ||||
\(941\) | 15.9076 | + | 6.07227i | 0.518574 | + | 0.197950i | 0.601899 | − | 0.798572i | \(-0.294411\pi\) |
−0.0833247 | + | 0.996522i | \(0.526554\pi\) | |||||||
\(942\) | −52.7979 | − | 44.5839i | −1.72025 | − | 1.45262i | ||||
\(943\) | −23.7577 | + | 1.33421i | −0.773658 | + | 0.0434477i | ||||
\(944\) | −30.8214 | + | 27.5437i | −1.00315 | + | 0.896470i | ||||
\(945\) | −9.13196 | − | 45.9094i | −0.297063 | − | 1.49343i | ||||
\(946\) | 23.3149 | − | 11.2350i | 0.758031 | − | 0.365282i | ||||
\(947\) | 36.2711 | + | 7.21477i | 1.17865 | + | 0.234449i | 0.745271 | − | 0.666762i | \(-0.232320\pi\) |
0.433382 | + | 0.901210i | \(0.357320\pi\) | |||||||
\(948\) | 0.631279 | − | 0.220894i | 0.0205030 | − | 0.00717430i | ||||
\(949\) | −3.19061 | − | 1.88209i | −0.103572 | − | 0.0610953i | ||||
\(950\) | 63.6140 | + | 35.1582i | 2.06391 | + | 1.14068i | ||||
\(951\) | 18.4141 | + | 80.6776i | 0.597120 | + | 2.61615i | ||||
\(952\) | −17.8050 | + | 41.7533i | −0.577065 | + | 1.35323i | ||||
\(953\) | − | 27.5608i | − | 0.892783i | −0.894838 | − | 0.446392i | \(-0.852709\pi\) | ||
0.894838 | − | 0.446392i | \(-0.147291\pi\) | |||||||
\(954\) | −35.5521 | − | 50.1059i | −1.15104 | − | 1.62224i | ||||
\(955\) | 34.5061 | + | 2.91055i | 1.11659 | + | 0.0941833i | ||||
\(956\) | −0.992442 | − | 1.57946i | −0.0320979 | − | 0.0510835i | ||||
\(957\) | −21.3632 | − | 25.2991i | −0.690574 | − | 0.817804i | ||||
\(958\) | −6.30625 | − | 10.6907i | −0.203746 | − | 0.345399i | ||||
\(959\) | −21.5210 | + | 9.63001i | −0.694948 | + | 0.310969i | ||||
\(960\) | 55.6971 | + | 62.3251i | 1.79762 | + | 2.01153i | ||||
\(961\) | 2.65098 | − | 0.763733i | 0.0855154 | − | 0.0246365i | ||||
\(962\) | −0.146142 | + | 5.20869i | −0.00471180 | + | 0.167935i | ||||
\(963\) | 8.17628 | − | 7.72999i | 0.263477 | − | 0.249096i | ||||
\(964\) | 0.209170 | + | 0.810886i | 0.00673692 | + | 0.0261169i | ||||
\(965\) | −75.9808 | − | 8.56098i | −2.44591 | − | 0.275588i | ||||
\(966\) | −68.4079 | − | 5.77014i | −2.20099 | − | 0.185651i | ||||
\(967\) | 12.0342 | − | 13.4663i | 0.386995 | − | 0.433048i | −0.520015 | − | 0.854157i | \(-0.674074\pi\) |
0.907010 | + | 0.421110i | \(0.138359\pi\) | |||||||
\(968\) | −7.30973 | + | 3.52018i | −0.234944 | + | 0.113143i | ||||
\(969\) | 6.72702 | + | 65.8433i | 0.216103 | + | 2.11519i | ||||
\(970\) | −20.3307 | − | 25.4938i | −0.652778 | − | 0.818558i | ||||
\(971\) | −24.4373 | − | 21.8385i | −0.784229 | − | 0.700830i | 0.174655 | − | 0.984630i | \(-0.444119\pi\) |
−0.958884 | + | 0.283800i | \(0.908405\pi\) | |||||||
\(972\) | 0.715507 | + | 1.87443i | 0.0229499 | + | 0.0601223i | ||||
\(973\) | 13.7999 | − | 8.67106i | 0.442405 | − | 0.277981i | ||||
\(974\) | 11.9555 | + | 23.1421i | 0.383078 | + | 0.741520i | ||||
\(975\) | −13.1388 | − | 22.2735i | −0.420778 | − | 0.713322i | ||||
\(976\) | 7.50407 | + | 16.7700i | 0.240200 | + | 0.536793i | ||||
\(977\) | −41.0378 | − | 45.9213i | −1.31292 | − | 1.46915i | −0.784438 | − | 0.620207i | \(-0.787049\pi\) |
−0.528478 | − | 0.848947i | \(-0.677237\pi\) | |||||||
\(978\) | −14.2611 | + | 7.88185i | −0.456021 | + | 0.252034i | ||||
\(979\) | −40.5130 | − | 1.13669i | −1.29480 | − | 0.0363286i | ||||
\(980\) | −0.840543 | − | 2.63718i | −0.0268502 | − | 0.0842415i | ||||
\(981\) | 0.273801 | + | 9.75865i | 0.00874180 | + | 0.311570i | ||||
\(982\) | 1.96594 | + | 1.96594i | 0.0627356 | + | 0.0627356i | ||||
\(983\) | 22.5600 | + | 33.7634i | 0.719552 | + | 1.07689i | 0.993354 | + | 0.115100i | \(0.0367188\pi\) |
−0.273802 | + | 0.961786i | \(0.588281\pi\) | |||||||
\(984\) | 22.0095 | + | 31.0194i | 0.701636 | + | 0.988864i | ||||
\(985\) | 40.9106 | + | 51.3003i | 1.30352 | + | 1.63456i | ||||
\(986\) | 10.3776 | + | 22.1344i | 0.330489 | + | 0.704903i | ||||
\(987\) | −66.8776 | − | 32.2065i | −2.12874 | − | 1.02515i | ||||
\(988\) | 0.598600 | − | 0.247948i | 0.0190440 | − | 0.00788828i | ||||
\(989\) | 15.4521 | + | 27.9420i | 0.491348 | + | 0.888504i | ||||
\(990\) | 43.9109 | − | 43.9109i | 1.39558 | − | 1.39558i | ||||
\(991\) | 46.7537 | + | 35.1858i | 1.48518 | + | 1.11771i | 0.964540 | + | 0.263935i | \(0.0850206\pi\) |
0.520639 | + | 0.853777i | \(0.325694\pi\) | |||||||
\(992\) | −3.24087 | − | 0.457535i | −0.102898 | − | 0.0145268i | ||||
\(993\) | −27.7939 | + | 32.9146i | −0.882014 | + | 1.04451i | ||||
\(994\) | −6.34968 | − | 1.07885i | −0.201400 | − | 0.0342192i | ||||
\(995\) | 18.0035 | − | 43.4643i | 0.570750 | − | 1.37791i | ||||
\(996\) | 0.490272 | + | 2.46476i | 0.0155349 | + | 0.0780990i | ||||
\(997\) | 32.4795 | + | 12.3981i | 1.02864 | + | 0.392651i | 0.812035 | − | 0.583609i | \(-0.198360\pi\) |
0.216601 | + | 0.976260i | \(0.430503\pi\) | |||||||
\(998\) | 17.0015 | − | 14.3565i | 0.538172 | − | 0.454446i | ||||
\(999\) | 9.72647 | − | 6.11155i | 0.307732 | − | 0.193361i |
(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 | 731.2.bj.a.22.19 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.46 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.46 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.19 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.19 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.46 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.46 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.19 | yes | 3072 | 731.432 | even | 112 | inner |