Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(34,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.o (of order \(22\), degree \(10\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.10 | ||
Character | \(\chi\) | \(=\) | 605.34 |
Dual form | 605.2.o.a.89.10 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.18609 | + | 0.314312i | −1.54580 | + | 0.222252i | −0.861806 | − | 0.507237i | \(-0.830667\pi\) |
−0.683992 | + | 0.729490i | \(0.739758\pi\) | |||||||
\(3\) | − | 1.37149i | − | 0.791828i | −0.918288 | − | 0.395914i | \(-0.870428\pi\) | ||
0.918288 | − | 0.395914i | \(-0.129572\pi\) | |||||||
\(4\) | 2.76121 | − | 0.810764i | 1.38060 | − | 0.405382i | ||||
\(5\) | −2.22979 | + | 0.167423i | −0.997193 | + | 0.0748737i | ||||
\(6\) | 0.431075 | + | 2.99819i | 0.175985 | + | 1.22401i | ||||
\(7\) | −2.66241 | + | 4.14280i | −1.00630 | + | 1.56583i | −0.195331 | + | 0.980737i | \(0.562578\pi\) |
−0.810967 | + | 0.585092i | \(0.801058\pi\) | |||||||
\(8\) | −1.76344 | + | 0.805337i | −0.623471 | + | 0.284730i | ||||
\(9\) | 1.11903 | 0.373009 | ||||||||
\(10\) | 4.82190 | − | 1.06685i | 1.52482 | − | 0.337368i | ||||
\(11\) | −3.26615 | + | 0.576408i | −0.984782 | + | 0.173793i | ||||
\(12\) | −1.11195 | − | 3.78696i | −0.320992 | − | 1.09320i | ||||
\(13\) | 0.872682 | + | 2.97208i | 0.242039 | + | 0.824308i | 0.987481 | + | 0.157738i | \(0.0504200\pi\) |
−0.745442 | + | 0.666570i | \(0.767762\pi\) | |||||||
\(14\) | 4.51814 | − | 9.89335i | 1.20752 | − | 2.64411i | ||||
\(15\) | 0.229618 | + | 3.05813i | 0.0592870 | + | 0.789605i | ||||
\(16\) | −1.23997 | + | 0.796879i | −0.309992 | + | 0.199220i | ||||
\(17\) | 4.57600 | − | 3.96513i | 1.10984 | − | 0.961685i | 0.110362 | − | 0.993891i | \(-0.464799\pi\) |
0.999481 | + | 0.0322068i | \(0.0102535\pi\) | |||||||
\(18\) | −2.44629 | + | 0.351724i | −0.576597 | + | 0.0829021i | ||||
\(19\) | 3.01019 | − | 3.47395i | 0.690586 | − | 0.796979i | −0.296862 | − | 0.954920i | \(-0.595940\pi\) |
0.987448 | + | 0.157941i | \(0.0504857\pi\) | |||||||
\(20\) | −6.02118 | + | 2.27012i | −1.34638 | + | 0.507615i | ||||
\(21\) | 5.68178 | + | 3.65146i | 1.23987 | + | 0.796814i | ||||
\(22\) | 6.95893 | − | 2.28667i | 1.48365 | − | 0.487520i | ||||
\(23\) | −1.45862 | − | 2.26965i | −0.304143 | − | 0.473255i | 0.655217 | − | 0.755440i | \(-0.272577\pi\) |
−0.959360 | + | 0.282185i | \(0.908941\pi\) | |||||||
\(24\) | 1.10451 | + | 2.41853i | 0.225457 | + | 0.493681i | ||||
\(25\) | 4.94394 | − | 0.746635i | 0.988788 | − | 0.149327i | ||||
\(26\) | −2.84192 | − | 6.22294i | −0.557347 | − | 1.22042i | ||||
\(27\) | − | 5.64919i | − | 1.08719i | ||||||
\(28\) | −3.99265 | + | 13.5977i | −0.754539 | + | 2.56972i | ||||
\(29\) | −1.70768 | + | 1.97077i | −0.317109 | + | 0.365963i | −0.891818 | − | 0.452395i | \(-0.850570\pi\) |
0.574709 | + | 0.818358i | \(0.305115\pi\) | |||||||
\(30\) | −1.46317 | − | 6.61317i | −0.267137 | − | 1.20739i | ||||
\(31\) | −9.06548 | − | 2.66186i | −1.62821 | − | 0.478085i | −0.665000 | − | 0.746843i | \(-0.731569\pi\) |
−0.963208 | + | 0.268758i | \(0.913387\pi\) | |||||||
\(32\) | 5.39045 | − | 4.67085i | 0.952906 | − | 0.825698i | ||||
\(33\) | 0.790535 | + | 4.47948i | 0.137614 | + | 0.779778i | ||||
\(34\) | −8.75726 | + | 10.1064i | −1.50186 | + | 1.73324i | ||||
\(35\) | 5.24303 | − | 9.68332i | 0.886233 | − | 1.63678i | ||||
\(36\) | 3.08987 | − | 0.907266i | 0.514978 | − | 0.151211i | ||||
\(37\) | −1.37866 | + | 4.69528i | −0.226650 | + | 0.771899i | 0.765122 | + | 0.643885i | \(0.222678\pi\) |
−0.991772 | + | 0.128014i | \(0.959140\pi\) | |||||||
\(38\) | −5.48865 | + | 8.54050i | −0.890376 | + | 1.38545i | ||||
\(39\) | 4.07617 | − | 1.19687i | 0.652710 | − | 0.191653i | ||||
\(40\) | 3.79728 | − | 2.09097i | 0.600402 | − | 0.330612i | ||||
\(41\) | −0.0332730 | − | 0.231419i | −0.00519637 | − | 0.0361415i | 0.987058 | − | 0.160362i | \(-0.0512661\pi\) |
−0.992255 | + | 0.124220i | \(0.960357\pi\) | |||||||
\(42\) | −13.5686 | − | 6.19656i | −2.09368 | − | 0.956151i | ||||
\(43\) | −2.50506 | + | 1.14402i | −0.382019 | + | 0.174462i | −0.597162 | − | 0.802120i | \(-0.703705\pi\) |
0.215144 | + | 0.976582i | \(0.430978\pi\) | |||||||
\(44\) | −8.55119 | + | 4.23966i | −1.28914 | + | 0.639153i | ||||
\(45\) | −2.49520 | + | 0.187350i | −0.371962 | + | 0.0279286i | ||||
\(46\) | 3.90204 | + | 4.50320i | 0.575325 | + | 0.663961i | ||||
\(47\) | −7.64201 | − | 1.09875i | −1.11470 | − | 0.160270i | −0.439741 | − | 0.898124i | \(-0.644930\pi\) |
−0.674960 | + | 0.737855i | \(0.735839\pi\) | |||||||
\(48\) | 1.09291 | + | 1.70060i | 0.157748 | + | 0.245460i | ||||
\(49\) | −7.16641 | − | 15.6922i | −1.02377 | − | 2.24175i | ||||
\(50\) | −10.5732 | + | 3.18615i | −1.49528 | + | 0.450590i | ||||
\(51\) | −5.43812 | − | 6.27592i | −0.761488 | − | 0.878804i | ||||
\(52\) | 4.81931 | + | 7.49900i | 0.668319 | + | 1.03992i | ||||
\(53\) | 3.36759 | − | 5.24007i | 0.462574 | − | 0.719779i | −0.529099 | − | 0.848560i | \(-0.677470\pi\) |
0.991673 | + | 0.128781i | \(0.0411063\pi\) | |||||||
\(54\) | 1.77561 | + | 12.3496i | 0.241630 | + | 1.68057i | ||||
\(55\) | 7.18634 | − | 1.83210i | 0.969005 | − | 0.247040i | ||||
\(56\) | 1.35866 | − | 9.44972i | 0.181559 | − | 1.26277i | ||||
\(57\) | −4.76447 | − | 4.12844i | −0.631070 | − | 0.546825i | ||||
\(58\) | 3.11371 | − | 4.84503i | 0.408850 | − | 0.636183i | ||||
\(59\) | 0.549511 | − | 3.82193i | 0.0715402 | − | 0.497573i | −0.922276 | − | 0.386533i | \(-0.873673\pi\) |
0.993816 | − | 0.111040i | \(-0.0354183\pi\) | |||||||
\(60\) | 3.11344 | + | 8.25796i | 0.401943 | + | 1.06610i | ||||
\(61\) | −0.549604 | + | 3.82258i | −0.0703696 | + | 0.489431i | 0.923909 | + | 0.382612i | \(0.124976\pi\) |
−0.994279 | + | 0.106819i | \(0.965934\pi\) | |||||||
\(62\) | 20.6546 | + | 2.96968i | 2.62314 | + | 0.377150i | ||||
\(63\) | −2.97931 | + | 4.63590i | −0.375358 | + | 0.584069i | ||||
\(64\) | −8.38543 | + | 9.67731i | −1.04818 | + | 1.20966i | ||||
\(65\) | −2.44349 | − | 6.48102i | −0.303078 | − | 0.803872i | ||||
\(66\) | −3.13614 | − | 9.54407i | −0.386032 | − | 1.17479i | ||||
\(67\) | 5.53857 | − | 0.796326i | 0.676644 | − | 0.0972867i | 0.204578 | − | 0.978850i | \(-0.434418\pi\) |
0.472065 | + | 0.881564i | \(0.343509\pi\) | |||||||
\(68\) | 9.42051 | − | 14.6586i | 1.14240 | − | 1.77762i | ||||
\(69\) | −3.11279 | + | 2.00047i | −0.374736 | + | 0.240828i | ||||
\(70\) | −8.41814 | + | 22.8165i | −1.00616 | + | 2.72710i | ||||
\(71\) | 7.23338 | − | 8.34777i | 0.858444 | − | 0.990698i | −0.141555 | − | 0.989930i | \(-0.545210\pi\) |
1.00000 | 0.000767359i | \(-0.000244258\pi\) | ||||||||
\(72\) | −1.97334 | + | 0.901194i | −0.232560 | + | 0.106207i | ||||
\(73\) | −1.27641 | − | 1.98613i | −0.149392 | − | 0.232459i | 0.758489 | − | 0.651685i | \(-0.225938\pi\) |
−0.907882 | + | 0.419226i | \(0.862301\pi\) | |||||||
\(74\) | 1.53809 | − | 10.6976i | 0.178799 | − | 1.24357i | ||||
\(75\) | −1.02400 | − | 6.78054i | −0.118241 | − | 0.782950i | ||||
\(76\) | 5.49522 | − | 12.0329i | 0.630345 | − | 1.38026i | ||||
\(77\) | 6.30791 | − | 15.0656i | 0.718853 | − | 1.71689i | ||||
\(78\) | −8.53468 | + | 3.89766i | −0.966362 | + | 0.441323i | ||||
\(79\) | 6.63467 | − | 14.5279i | 0.746459 | − | 1.63452i | −0.0261698 | − | 0.999658i | \(-0.508331\pi\) |
0.772628 | − | 0.634859i | \(-0.218942\pi\) | |||||||
\(80\) | 2.63145 | − | 1.98447i | 0.294205 | − | 0.221871i | ||||
\(81\) | −4.39070 | −0.487855 | ||||||||
\(82\) | 0.145475 | + | 0.495444i | 0.0160651 | + | 0.0547126i | ||||
\(83\) | 5.11107 | − | 7.95298i | 0.561013 | − | 0.872953i | −0.438657 | − | 0.898655i | \(-0.644546\pi\) |
0.999670 | + | 0.0257018i | \(0.00818204\pi\) | |||||||
\(84\) | 18.6491 | + | 5.47586i | 2.03478 | + | 0.597465i | ||||
\(85\) | −9.53968 | + | 9.60753i | −1.03472 | + | 1.04208i | ||||
\(86\) | 5.11671 | − | 3.28831i | 0.551749 | − | 0.354588i | ||||
\(87\) | 2.70289 | + | 2.34206i | 0.289780 | + | 0.251096i | ||||
\(88\) | 5.29547 | − | 3.64681i | 0.564499 | − | 0.388752i | ||||
\(89\) | −6.27303 | − | 7.23946i | −0.664940 | − | 0.767381i | 0.318636 | − | 0.947877i | \(-0.396775\pi\) |
−0.983576 | + | 0.180496i | \(0.942230\pi\) | |||||||
\(90\) | 5.39584 | − | 1.19384i | 0.568771 | − | 0.125841i | ||||
\(91\) | −14.6362 | − | 4.29757i | −1.53429 | − | 0.450508i | ||||
\(92\) | −5.86769 | − | 5.08439i | −0.611749 | − | 0.530084i | ||||
\(93\) | −3.65071 | + | 12.4332i | −0.378561 | + | 1.28926i | ||||
\(94\) | 17.0515 | 1.75872 | ||||||||
\(95\) | −6.13049 | + | 8.25016i | −0.628975 | + | 0.846448i | ||||
\(96\) | −6.40601 | − | 7.39293i | −0.653810 | − | 0.754537i | ||||
\(97\) | −4.05339 | + | 1.85112i | −0.411559 | + | 0.187953i | −0.610425 | − | 0.792074i | \(-0.709001\pi\) |
0.198866 | + | 0.980027i | \(0.436274\pi\) | |||||||
\(98\) | 20.5987 | + | 32.0521i | 2.08078 | + | 3.23776i | ||||
\(99\) | −3.65491 | + | 0.645016i | −0.367333 | + | 0.0648265i | ||||
\(100\) | 13.0459 | − | 6.06998i | 1.30459 | − | 0.606998i | ||||
\(101\) | −0.220714 | + | 1.53510i | −0.0219619 | + | 0.152748i | −0.997851 | − | 0.0655165i | \(-0.979130\pi\) |
0.975890 | + | 0.218265i | \(0.0700396\pi\) | |||||||
\(102\) | 13.8608 | + | 12.0105i | 1.37242 | + | 1.18921i | ||||
\(103\) | 11.3120 | − | 1.62642i | 1.11460 | − | 0.160256i | 0.439688 | − | 0.898151i | \(-0.355089\pi\) |
0.674916 | + | 0.737895i | \(0.264180\pi\) | |||||||
\(104\) | −3.93245 | − | 4.53829i | −0.385609 | − | 0.445016i | ||||
\(105\) | −13.2805 | − | 7.19074i | −1.29605 | − | 0.701744i | ||||
\(106\) | −5.71483 | + | 12.5137i | −0.555074 | + | 1.21544i | ||||
\(107\) | −12.0469 | − | 5.50163i | −1.16462 | − | 0.531863i | −0.263169 | − | 0.964750i | \(-0.584768\pi\) |
−0.901448 | + | 0.432887i | \(0.857495\pi\) | |||||||
\(108\) | −4.58015 | − | 15.5986i | −0.440726 | − | 1.50097i | ||||
\(109\) | 9.68219 | − | 2.84295i | 0.927386 | − | 0.272305i | 0.217044 | − | 0.976162i | \(-0.430358\pi\) |
0.710342 | + | 0.703857i | \(0.248540\pi\) | |||||||
\(110\) | −15.1341 | + | 6.26388i | −1.44298 | + | 0.597237i | ||||
\(111\) | 6.43951 | + | 1.89081i | 0.611211 | + | 0.179468i | ||||
\(112\) | − | 7.25855i | − | 0.685869i | ||||||
\(113\) | 3.95833 | − | 1.80771i | 0.372368 | − | 0.170055i | −0.220436 | − | 0.975401i | \(-0.570748\pi\) |
0.592804 | + | 0.805347i | \(0.298021\pi\) | |||||||
\(114\) | 11.7132 | + | 7.52760i | 1.09704 | + | 0.705025i | ||||
\(115\) | 3.63240 | + | 4.81664i | 0.338723 | + | 0.449154i | ||||
\(116\) | −3.11744 | + | 6.82624i | −0.289447 | + | 0.633800i | ||||
\(117\) | 0.976555 | + | 3.32584i | 0.0902826 | + | 0.307474i | ||||
\(118\) | 8.52780i | 0.785048i | ||||||||
\(119\) | 4.24351 | + | 29.5142i | 0.389002 | + | 2.70557i | ||||
\(120\) | −2.86774 | − | 5.20791i | −0.261788 | − | 0.475415i | ||||
\(121\) | 10.3355 | − | 3.76527i | 0.939592 | − | 0.342297i | ||||
\(122\) | − | 8.52925i | − | 0.772202i | ||||||
\(123\) | −0.317387 | + | 0.0456334i | −0.0286178 | + | 0.00411463i | ||||
\(124\) | −27.1898 | −2.44172 | ||||||||
\(125\) | −10.8989 | + | 2.49257i | −0.974832 | + | 0.222942i | ||||
\(126\) | 5.05592 | − | 11.0709i | 0.450417 | − | 0.986276i | ||||
\(127\) | −8.69610 | + | 1.25031i | −0.771654 | + | 0.110947i | −0.516885 | − | 0.856055i | \(-0.672909\pi\) |
−0.254769 | + | 0.967002i | \(0.581999\pi\) | |||||||
\(128\) | 7.57727 | − | 11.7905i | 0.669743 | − | 1.04214i | ||||
\(129\) | 1.56901 | + | 3.43566i | 0.138144 | + | 0.302493i | ||||
\(130\) | 7.37876 | + | 13.4001i | 0.647160 | + | 1.17526i | ||||
\(131\) | −9.70871 | − | 2.85074i | −0.848254 | − | 0.249070i | −0.171413 | − | 0.985199i | \(-0.554833\pi\) |
−0.676841 | + | 0.736129i | \(0.736652\pi\) | |||||||
\(132\) | 5.81463 | + | 11.7278i | 0.506099 | + | 1.02078i | ||||
\(133\) | 6.37748 | + | 21.7197i | 0.552998 | + | 1.88334i | ||||
\(134\) | −11.8575 | + | 3.48168i | −1.02433 | + | 0.300771i | ||||
\(135\) | 0.945801 | + | 12.5965i | 0.0814016 | + | 1.08413i | ||||
\(136\) | −4.87625 | + | 10.6775i | −0.418135 | + | 0.915587i | ||||
\(137\) | 4.79341 | + | 7.45869i | 0.409528 | + | 0.637239i | 0.983346 | − | 0.181745i | \(-0.0581745\pi\) |
−0.573817 | + | 0.818983i | \(0.694538\pi\) | |||||||
\(138\) | 6.17607 | − | 5.35160i | 0.525742 | − | 0.455558i | ||||
\(139\) | 1.89085 | + | 13.1511i | 0.160380 | + | 1.11546i | 0.897919 | + | 0.440161i | \(0.145079\pi\) |
−0.737539 | + | 0.675304i | \(0.764012\pi\) | |||||||
\(140\) | 6.62620 | − | 30.9885i | 0.560017 | − | 2.61901i | ||||
\(141\) | −1.50693 | + | 10.4809i | −0.126906 | + | 0.882651i | ||||
\(142\) | −13.1890 | + | 20.5225i | −1.10680 | + | 1.72221i | ||||
\(143\) | −4.56345 | − | 9.20426i | −0.381615 | − | 0.769699i | ||||
\(144\) | −1.38756 | + | 0.891729i | −0.115630 | + | 0.0743107i | ||||
\(145\) | 3.47783 | − | 4.68032i | 0.288818 | − | 0.388679i | ||||
\(146\) | 3.41461 | + | 3.94066i | 0.282595 | + | 0.326132i | ||||
\(147\) | −21.5217 | + | 9.82862i | −1.77508 | + | 0.810651i | ||||
\(148\) | 14.0824i | 1.15757i | ||||||||
\(149\) | 2.02376 | + | 0.594230i | 0.165793 | + | 0.0486812i | 0.363576 | − | 0.931565i | \(-0.381556\pi\) |
−0.197783 | + | 0.980246i | \(0.563374\pi\) | |||||||
\(150\) | 4.36976 | + | 14.5010i | 0.356789 | + | 1.18400i | ||||
\(151\) | 13.1775 | + | 3.86926i | 1.07237 | + | 0.314876i | 0.769822 | − | 0.638258i | \(-0.220345\pi\) |
0.302547 | + | 0.953134i | \(0.402163\pi\) | |||||||
\(152\) | −2.51060 | + | 8.55033i | −0.203637 | + | 0.693523i | ||||
\(153\) | 5.12067 | − | 4.43709i | 0.413982 | − | 0.358717i | ||||
\(154\) | −9.05434 | + | 34.9175i | −0.729619 | + | 2.81373i | ||||
\(155\) | 20.6598 | + | 4.41764i | 1.65943 | + | 0.354833i | ||||
\(156\) | 10.2848 | − | 6.60962i | 0.823441 | − | 0.529193i | ||||
\(157\) | −5.98475 | − | 20.3822i | −0.477635 | − | 1.62667i | −0.747845 | − | 0.663873i | \(-0.768911\pi\) |
0.270210 | − | 0.962801i | \(-0.412907\pi\) | |||||||
\(158\) | −9.93768 | + | 33.8446i | −0.790599 | + | 2.69253i | ||||
\(159\) | −7.18669 | − | 4.61860i | −0.569941 | − | 0.366279i | ||||
\(160\) | −11.2376 | + | 11.3175i | −0.888408 | + | 0.894728i | ||||
\(161\) | 13.2861 | 1.04709 | ||||||||
\(162\) | 9.59845 | − | 1.38005i | 0.754126 | − | 0.108427i | ||||
\(163\) | −10.0970 | − | 4.61115i | −0.790859 | − | 0.361173i | −0.0213198 | − | 0.999773i | \(-0.506787\pi\) |
−0.769539 | + | 0.638599i | \(0.779514\pi\) | |||||||
\(164\) | −0.279499 | − | 0.612018i | −0.0218252 | − | 0.0477906i | ||||
\(165\) | −2.51269 | − | 9.85596i | −0.195613 | − | 0.767285i | ||||
\(166\) | −8.67353 | + | 18.9924i | −0.673197 | + | 1.47410i | ||||
\(167\) | −5.19701 | + | 4.50324i | −0.402157 | + | 0.348471i | −0.832335 | − | 0.554273i | \(-0.812996\pi\) |
0.430178 | + | 0.902744i | \(0.358451\pi\) | |||||||
\(168\) | −12.9602 | − | 1.86339i | −0.999897 | − | 0.143764i | ||||
\(169\) | 2.86459 | − | 1.84096i | 0.220353 | − | 0.141612i | ||||
\(170\) | 17.8348 | − | 24.0014i | 1.36787 | − | 1.84082i | ||||
\(171\) | 3.36849 | − | 3.88744i | 0.257595 | − | 0.297280i | ||||
\(172\) | −5.98947 | + | 5.18990i | −0.456693 | + | 0.395726i | ||||
\(173\) | −2.28453 | − | 3.55479i | −0.173689 | − | 0.270266i | 0.743485 | − | 0.668753i | \(-0.233172\pi\) |
−0.917174 | + | 0.398487i | \(0.869535\pi\) | |||||||
\(174\) | −6.64489 | − | 4.27041i | −0.503748 | − | 0.323739i | ||||
\(175\) | −10.0697 | + | 22.4696i | −0.761194 | + | 1.69854i | ||||
\(176\) | 3.59060 | − | 3.31745i | 0.270651 | − | 0.250063i | ||||
\(177\) | −5.24173 | − | 0.753646i | −0.393992 | − | 0.0566475i | ||||
\(178\) | 15.9888 | + | 13.8544i | 1.19841 | + | 1.03843i | ||||
\(179\) | −8.27892 | − | 5.32054i | −0.618796 | − | 0.397676i | 0.193351 | − | 0.981130i | \(-0.438065\pi\) |
−0.812146 | + | 0.583454i | \(0.801701\pi\) | |||||||
\(180\) | −6.73786 | + | 2.54033i | −0.502210 | + | 0.189345i | ||||
\(181\) | 0.916884 | − | 6.37707i | 0.0681515 | − | 0.474004i | −0.926953 | − | 0.375177i | \(-0.877582\pi\) |
0.995105 | − | 0.0988268i | \(-0.0315090\pi\) | |||||||
\(182\) | 33.3468 | + | 4.79454i | 2.47183 | + | 0.355395i | ||||
\(183\) | 5.24261 | + | 0.753774i | 0.387545 | + | 0.0557206i | ||||
\(184\) | 4.40002 | + | 2.82772i | 0.324374 | + | 0.208462i | ||||
\(185\) | 2.28802 | − | 10.7003i | 0.168219 | − | 0.786702i | ||||
\(186\) | 4.07288 | − | 28.3275i | 0.298638 | − | 2.07707i | ||||
\(187\) | −12.6604 | + | 15.5884i | −0.925819 | + | 1.13993i | ||||
\(188\) | −21.9920 | + | 3.16197i | −1.60393 | + | 0.230610i | ||||
\(189\) | 23.4034 | + | 15.0405i | 1.70235 | + | 1.09403i | ||||
\(190\) | 10.8087 | − | 19.9625i | 0.784143 | − | 1.44823i | ||||
\(191\) | −2.47928 | − | 2.86124i | −0.179394 | − | 0.207032i | 0.658930 | − | 0.752205i | \(-0.271009\pi\) |
−0.838324 | + | 0.545173i | \(0.816464\pi\) | |||||||
\(192\) | 13.2723 | + | 11.5005i | 0.957845 | + | 0.829977i | ||||
\(193\) | 18.8416 | − | 8.60467i | 1.35625 | − | 0.619378i | 0.401245 | − | 0.915971i | \(-0.368578\pi\) |
0.955004 | + | 0.296593i | \(0.0958504\pi\) | |||||||
\(194\) | 8.27923 | − | 5.32074i | 0.594414 | − | 0.382007i | ||||
\(195\) | −8.88863 | + | 3.35122i | −0.636528 | + | 0.239986i | ||||
\(196\) | −32.5106 | − | 37.5193i | −2.32219 | − | 2.67995i | ||||
\(197\) | −12.8026 | − | 5.84676i | −0.912148 | − | 0.416564i | −0.0966465 | − | 0.995319i | \(-0.530812\pi\) |
−0.815502 | + | 0.578755i | \(0.803539\pi\) | |||||||
\(198\) | 7.78723 | − | 2.55885i | 0.553414 | − | 0.181849i | ||||
\(199\) | 3.26486 | + | 7.14905i | 0.231440 | + | 0.506782i | 0.989346 | − | 0.145581i | \(-0.0465050\pi\) |
−0.757907 | + | 0.652363i | \(0.773778\pi\) | |||||||
\(200\) | −8.11706 | + | 5.29818i | −0.573963 | + | 0.374638i | ||||
\(201\) | −1.09215 | − | 7.59607i | −0.0770343 | − | 0.535785i | ||||
\(202\) | − | 3.42524i | − | 0.240999i | ||||||
\(203\) | −3.61795 | − | 12.3216i | −0.253930 | − | 0.864806i | ||||
\(204\) | −20.1040 | − | 12.9201i | −1.40756 | − | 0.904587i | ||||
\(205\) | 0.112936 | + | 0.510445i | 0.00788783 | + | 0.0356510i | ||||
\(206\) | −24.2178 | + | 7.11100i | −1.68734 | + | 0.495447i | ||||
\(207\) | −1.63223 | − | 2.53980i | −0.113448 | − | 0.176528i | ||||
\(208\) | −3.45049 | − | 2.98986i | −0.239248 | − | 0.207310i | ||||
\(209\) | −7.82934 | + | 13.0816i | −0.541567 | + | 0.904870i | ||||
\(210\) | 31.2926 | + | 11.5454i | 2.15939 | + | 0.796706i | ||||
\(211\) | 13.9559 | + | 4.09782i | 0.960762 | + | 0.282105i | 0.724261 | − | 0.689526i | \(-0.242181\pi\) |
0.236501 | + | 0.971631i | \(0.423999\pi\) | |||||||
\(212\) | 5.05015 | − | 17.1992i | 0.346846 | − | 1.18125i | ||||
\(213\) | −11.4488 | − | 9.92048i | −0.784462 | − | 0.679740i | ||||
\(214\) | 28.0648 | + | 8.24058i | 1.91847 | + | 0.563314i | ||||
\(215\) | 5.39423 | − | 2.97034i | 0.367884 | − | 0.202575i | ||||
\(216\) | 4.54950 | + | 9.96201i | 0.309554 | + | 0.677829i | ||||
\(217\) | 35.1636 | − | 30.4694i | 2.38706 | − | 2.06840i | ||||
\(218\) | −20.2726 | + | 9.25817i | −1.37303 | + | 0.627042i | ||||
\(219\) | −2.72395 | + | 1.75057i | −0.184067 | + | 0.118293i | ||||
\(220\) | 18.3576 | − | 10.8852i | 1.23767 | − | 0.733881i | ||||
\(221\) | 15.7781 | + | 10.1400i | 1.06135 | + | 0.682087i | ||||
\(222\) | −14.6716 | − | 2.10946i | −0.984696 | − | 0.141578i | ||||
\(223\) | −13.7015 | − | 11.8724i | −0.917522 | − | 0.795038i | 0.0616439 | − | 0.998098i | \(-0.480366\pi\) |
−0.979166 | + | 0.203061i | \(0.934911\pi\) | |||||||
\(224\) | 4.99878 | + | 34.7673i | 0.333995 | + | 2.32299i | ||||
\(225\) | 5.53240 | − | 0.835505i | 0.368827 | − | 0.0557003i | ||||
\(226\) | −8.08508 | + | 5.19596i | −0.537811 | + | 0.345630i | ||||
\(227\) | 0.510647 | + | 0.233205i | 0.0338928 | + | 0.0154783i | 0.432289 | − | 0.901735i | \(-0.357706\pi\) |
−0.398396 | + | 0.917213i | \(0.630433\pi\) | |||||||
\(228\) | −16.5029 | − | 7.53661i | −1.09293 | − | 0.499124i | ||||
\(229\) | −10.0517 | + | 2.95143i | −0.664232 | + | 0.195036i | −0.596433 | − | 0.802663i | \(-0.703416\pi\) |
−0.0677990 | + | 0.997699i | \(0.521598\pi\) | |||||||
\(230\) | −9.45468 | − | 9.38791i | −0.623423 | − | 0.619020i | ||||
\(231\) | −20.6623 | − | 8.65121i | −1.35948 | − | 0.569208i | ||||
\(232\) | 1.42427 | − | 4.85060i | 0.0935076 | − | 0.318458i | ||||
\(233\) | 24.0150i | 1.57328i | 0.617415 | + | 0.786638i | \(0.288180\pi\) | ||||
−0.617415 | + | 0.786638i | \(0.711820\pi\) | |||||||
\(234\) | −3.18019 | − | 6.96364i | −0.207895 | − | 0.455228i | ||||
\(235\) | 17.2240 | + | 1.17055i | 1.12357 | + | 0.0763582i | ||||
\(236\) | −1.58137 | − | 10.9987i | −0.102938 | − | 0.715953i | ||||
\(237\) | −19.9248 | − | 9.09935i | −1.29426 | − | 0.591066i | ||||
\(238\) | −18.5534 | − | 63.1870i | −1.20264 | − | 4.09580i | ||||
\(239\) | 10.4282 | 0.674542 | 0.337271 | − | 0.941408i | \(-0.390496\pi\) | ||||
0.337271 | + | 0.941408i | \(0.390496\pi\) | |||||||
\(240\) | −2.72167 | − | 3.60900i | −0.175683 | − | 0.232960i | ||||
\(241\) | −6.95615 | −0.448085 | −0.224042 | − | 0.974579i | \(-0.571925\pi\) | ||||
−0.224042 | + | 0.974579i | \(0.571925\pi\) | |||||||
\(242\) | −21.4109 | + | 11.4798i | −1.37634 | + | 0.737949i | ||||
\(243\) | − | 10.9258i | − | 0.700889i | ||||||
\(244\) | 1.58164 | + | 11.0005i | 0.101254 | + | 0.704237i | ||||
\(245\) | 18.6068 | + | 33.7906i | 1.18875 | + | 2.15880i | ||||
\(246\) | 0.679494 | − | 0.199517i | 0.0433229 | − | 0.0127208i | ||||
\(247\) | 12.9518 | + | 5.91489i | 0.824104 | + | 0.376356i | ||||
\(248\) | 18.1301 | − | 2.60672i | 1.15127 | − | 0.165527i | ||||
\(249\) | −10.9074 | − | 7.00976i | −0.691228 | − | 0.444225i | ||||
\(250\) | 23.0426 | − | 8.87465i | 1.45734 | − | 0.561282i | ||||
\(251\) | 3.89569 | 0.245894 | 0.122947 | − | 0.992413i | \(-0.460766\pi\) | ||||
0.122947 | + | 0.992413i | \(0.460766\pi\) | |||||||
\(252\) | −4.46788 | + | 15.2162i | −0.281450 | + | 0.958530i | ||||
\(253\) | 6.07231 | + | 6.57227i | 0.381763 | + | 0.413195i | ||||
\(254\) | 18.6175 | − | 5.46658i | 1.16816 | − | 0.343004i | ||||
\(255\) | 13.1766 | + | 13.0835i | 0.825150 | + | 0.819322i | ||||
\(256\) | −2.22000 | + | 4.86112i | −0.138750 | + | 0.303820i | ||||
\(257\) | 29.0018 | + | 13.2447i | 1.80908 | + | 0.826179i | 0.948432 | + | 0.316979i | \(0.102669\pi\) |
0.860648 | + | 0.509200i | \(0.170059\pi\) | |||||||
\(258\) | −4.50987 | − | 7.01750i | −0.280772 | − | 0.436890i | ||||
\(259\) | −15.7810 | − | 18.2123i | −0.980585 | − | 1.13166i | ||||
\(260\) | −12.0016 | − | 15.9143i | −0.744306 | − | 0.986966i | ||||
\(261\) | −1.91094 | + | 2.20535i | −0.118284 | + | 0.136508i | ||||
\(262\) | 22.1201 | + | 3.18039i | 1.36659 | + | 0.196485i | ||||
\(263\) | −0.430355 | + | 0.669645i | −0.0265368 | + | 0.0412921i | −0.854269 | − | 0.519832i | \(-0.825995\pi\) |
0.827732 | + | 0.561124i | \(0.189631\pi\) | |||||||
\(264\) | −5.00155 | − | 7.26266i | −0.307824 | − | 0.446986i | ||||
\(265\) | −6.63172 | + | 12.2481i | −0.407383 | + | 0.752394i | ||||
\(266\) | −20.7685 | − | 45.4767i | −1.27340 | − | 2.78836i | ||||
\(267\) | −9.92882 | + | 8.60337i | −0.607634 | + | 0.526518i | ||||
\(268\) | 14.6475 | − | 6.68929i | 0.894739 | − | 0.408613i | ||||
\(269\) | −18.0829 | −1.10253 | −0.551267 | − | 0.834329i | \(-0.685855\pi\) | ||||
−0.551267 | + | 0.834329i | \(0.685855\pi\) | |||||||
\(270\) | −6.02684 | − | 27.2398i | −0.366782 | − | 1.65776i | ||||
\(271\) | 12.7988 | − | 14.7706i | 0.777472 | − | 0.897251i | −0.219452 | − | 0.975623i | \(-0.570427\pi\) |
0.996924 | + | 0.0783724i | \(0.0249723\pi\) | |||||||
\(272\) | −2.51437 | + | 8.56315i | −0.152456 | + | 0.519217i | ||||
\(273\) | −5.89405 | + | 20.0733i | −0.356724 | + | 1.21489i | ||||
\(274\) | −12.8232 | − | 14.7987i | −0.774676 | − | 0.894024i | ||||
\(275\) | −15.7173 | + | 5.28835i | −0.947789 | + | 0.318899i | ||||
\(276\) | −6.97316 | + | 8.04746i | −0.419735 | + | 0.484400i | ||||
\(277\) | −7.98927 | − | 12.4316i | −0.480029 | − | 0.746939i | 0.513794 | − | 0.857913i | \(-0.328239\pi\) |
−0.993823 | + | 0.110974i | \(0.964603\pi\) | |||||||
\(278\) | −8.26712 | − | 28.1552i | −0.495829 | − | 1.68864i | ||||
\(279\) | −10.1445 | − | 2.97870i | −0.607336 | − | 0.178330i | ||||
\(280\) | −1.44744 | + | 21.2984i | −0.0865012 | + | 1.27282i | ||||
\(281\) | −20.7487 | + | 6.09237i | −1.23776 | + | 0.363440i | −0.834175 | − | 0.551500i | \(-0.814056\pi\) |
−0.403589 | + | 0.914940i | \(0.632237\pi\) | |||||||
\(282\) | − | 23.3858i | − | 1.39261i | ||||||
\(283\) | −8.30697 | + | 1.19436i | −0.493798 | + | 0.0709975i | −0.384716 | − | 0.923035i | \(-0.625700\pi\) |
−0.109083 | + | 0.994033i | \(0.534791\pi\) | |||||||
\(284\) | 13.2048 | − | 28.9145i | 0.783561 | − | 1.71576i | ||||
\(285\) | 11.3150 | + | 8.40788i | 0.670241 | + | 0.498040i | ||||
\(286\) | 12.8691 | + | 18.6870i | 0.760966 | + | 1.10498i | ||||
\(287\) | 1.04731 | + | 0.478289i | 0.0618205 | + | 0.0282325i | ||||
\(288\) | 6.03206 | − | 5.22681i | 0.355443 | − | 0.307993i | ||||
\(289\) | 2.79820 | − | 19.4619i | 0.164600 | − | 1.14482i | ||||
\(290\) | −6.13176 | + | 11.3247i | −0.360069 | + | 0.665010i | ||||
\(291\) | 2.53878 | + | 5.55916i | 0.148826 | + | 0.325884i | ||||
\(292\) | −5.13471 | − | 4.44925i | −0.300486 | − | 0.260373i | ||||
\(293\) | −14.8161 | + | 12.8382i | −0.865563 | + | 0.750015i | −0.969635 | − | 0.244555i | \(-0.921358\pi\) |
0.104072 | + | 0.994570i | \(0.466813\pi\) | |||||||
\(294\) | 43.9591 | − | 28.2508i | 2.56374 | − | 1.64762i | ||||
\(295\) | −0.585417 | + | 8.61411i | −0.0340843 | + | 0.501533i | ||||
\(296\) | −1.35010 | − | 9.39013i | −0.0784728 | − | 0.545790i | ||||
\(297\) | 3.25623 | + | 18.4511i | 0.188946 | + | 1.07064i | ||||
\(298\) | −4.61090 | − | 0.662947i | −0.267102 | − | 0.0384035i | ||||
\(299\) | 5.47269 | − | 6.31582i | 0.316494 | − | 0.365253i | ||||
\(300\) | −8.32489 | − | 17.8923i | −0.480638 | − | 1.03301i | ||||
\(301\) | 1.93006 | − | 13.4238i | 0.111247 | − | 0.773737i | ||||
\(302\) | −30.0233 | − | 4.31671i | −1.72765 | − | 0.248398i | ||||
\(303\) | 2.10537 | + | 0.302706i | 0.120950 | + | 0.0173900i | ||||
\(304\) | −0.964227 | + | 6.70634i | −0.0553022 | + | 0.384635i | ||||
\(305\) | 0.585516 | − | 8.61557i | 0.0335265 | − | 0.493326i | ||||
\(306\) | −9.79961 | + | 11.3094i | −0.560206 | + | 0.646513i | ||||
\(307\) | −3.26772 | − | 0.469827i | −0.186499 | − | 0.0268144i | 0.0484326 | − | 0.998826i | \(-0.484577\pi\) |
−0.234931 | + | 0.972012i | \(0.575486\pi\) | |||||||
\(308\) | 5.20277 | − | 46.7136i | 0.296455 | − | 2.66175i | ||||
\(309\) | −2.23061 | − | 15.5142i | −0.126895 | − | 0.882574i | ||||
\(310\) | −46.5526 | − | 3.16373i | −2.64401 | − | 0.179688i | ||||
\(311\) | −17.9010 | + | 11.5043i | −1.01507 | + | 0.652348i | −0.938701 | − | 0.344731i | \(-0.887970\pi\) |
−0.0763722 | + | 0.997079i | \(0.524334\pi\) | |||||||
\(312\) | −6.22420 | + | 5.39330i | −0.352376 | + | 0.305336i | ||||
\(313\) | 11.1938 | + | 9.69951i | 0.632712 | + | 0.548248i | 0.911082 | − | 0.412226i | \(-0.135248\pi\) |
−0.278369 | + | 0.960474i | \(0.589794\pi\) | |||||||
\(314\) | 19.4896 | + | 42.6762i | 1.09986 | + | 2.40836i | ||||
\(315\) | 5.86709 | − | 10.8359i | 0.330573 | − | 0.610534i | ||||
\(316\) | 6.54100 | − | 45.4937i | 0.367960 | − | 2.55922i | ||||
\(317\) | 3.39370 | − | 2.94066i | 0.190609 | − | 0.165164i | −0.554328 | − | 0.832298i | \(-0.687025\pi\) |
0.744937 | + | 0.667134i | \(0.232479\pi\) | |||||||
\(318\) | 17.1624 | + | 7.83781i | 0.962421 | + | 0.439523i | ||||
\(319\) | 4.44159 | − | 7.42116i | 0.248681 | − | 0.415505i | ||||
\(320\) | 17.0776 | − | 22.9823i | 0.954665 | − | 1.28475i | ||||
\(321\) | −7.54541 | + | 16.5221i | −0.421144 | + | 0.922176i | ||||
\(322\) | −29.0447 | + | 4.17600i | −1.61860 | + | 0.232719i | ||||
\(323\) | − | 27.8326i | − | 1.54865i | ||||||
\(324\) | −12.1236 | + | 3.55982i | −0.673535 | + | 0.197768i | ||||
\(325\) | 6.53355 | + | 14.0422i | 0.362416 | + | 0.778923i | ||||
\(326\) | 23.5223 | + | 6.90677i | 1.30278 | + | 0.382531i | ||||
\(327\) | −3.89906 | − | 13.2790i | −0.215619 | − | 0.734330i | ||||
\(328\) | 0.245045 | + | 0.381297i | 0.0135303 | + | 0.0210536i | ||||
\(329\) | 24.8981 | − | 28.7339i | 1.37268 | − | 1.58415i | ||||
\(330\) | 8.59082 | + | 20.7562i | 0.472909 | + | 1.14259i | ||||
\(331\) | 17.9879 | + | 20.7591i | 0.988702 | + | 1.14102i | 0.990006 | + | 0.141024i | \(0.0450395\pi\) |
−0.00130389 | + | 0.999999i | \(0.500415\pi\) | |||||||
\(332\) | 7.66473 | − | 26.1037i | 0.420657 | − | 1.43263i | ||||
\(333\) | −1.54276 | + | 5.25414i | −0.0845425 | + | 0.287925i | ||||
\(334\) | 9.94571 | − | 11.4780i | 0.544205 | − | 0.628046i | ||||
\(335\) | −12.2165 | + | 2.70292i | −0.667460 | + | 0.147676i | ||||
\(336\) | −9.95500 | −0.543090 | ||||||||
\(337\) | −5.85892 | + | 2.67568i | −0.319156 | + | 0.145754i | −0.568551 | − | 0.822648i | \(-0.692496\pi\) |
0.249395 | + | 0.968402i | \(0.419768\pi\) | |||||||
\(338\) | −5.68361 | + | 4.92488i | −0.309148 | + | 0.267878i | ||||
\(339\) | −2.47925 | − | 5.42879i | −0.134654 | − | 0.294852i | ||||
\(340\) | −18.5516 | + | 34.2628i | −1.00610 | + | 1.85816i | ||||
\(341\) | 31.1436 | + | 3.46864i | 1.68652 | + | 0.187838i | ||||
\(342\) | −6.14195 | + | 9.55706i | −0.332118 | + | 0.516786i | ||||
\(343\) | 49.9687 | + | 7.18441i | 2.69806 | + | 0.387922i | ||||
\(344\) | 3.49621 | − | 4.03484i | 0.188503 | − | 0.217544i | ||||
\(345\) | 6.60596 | − | 4.98179i | 0.355653 | − | 0.268210i | ||||
\(346\) | 6.11149 | + | 7.05304i | 0.328556 | + | 0.379174i | ||||
\(347\) | 4.54557 | + | 7.07304i | 0.244019 | + | 0.379701i | 0.941561 | − | 0.336843i | \(-0.109359\pi\) |
−0.697542 | + | 0.716544i | \(0.745723\pi\) | |||||||
\(348\) | 9.36209 | + | 4.27552i | 0.501861 | + | 0.229192i | ||||
\(349\) | 1.51439 | − | 3.31604i | 0.0810632 | − | 0.177504i | −0.864760 | − | 0.502185i | \(-0.832530\pi\) |
0.945824 | + | 0.324681i | \(0.105257\pi\) | |||||||
\(350\) | 14.9507 | − | 52.2855i | 0.799148 | − | 2.79478i | ||||
\(351\) | 16.7899 | − | 4.92995i | 0.896176 | − | 0.263141i | ||||
\(352\) | −14.9137 | + | 18.3628i | −0.794904 | + | 0.978741i | ||||
\(353\) | 7.59458 | − | 25.8648i | 0.404219 | − | 1.37664i | −0.466352 | − | 0.884599i | \(-0.654432\pi\) |
0.870571 | − | 0.492044i | \(-0.163750\pi\) | |||||||
\(354\) | 11.6958 | 0.621623 | ||||||||
\(355\) | −14.7313 | + | 19.8248i | −0.781858 | + | 1.05219i | ||||
\(356\) | −23.1906 | − | 14.9037i | −1.22910 | − | 0.789895i | ||||
\(357\) | 40.4784 | − | 5.81991i | 2.14234 | − | 0.308022i | ||||
\(358\) | 19.7708 | + | 9.02901i | 1.04492 | + | 0.477198i | ||||
\(359\) | −28.6866 | + | 8.42313i | −1.51402 | + | 0.444556i | −0.930115 | − | 0.367268i | \(-0.880293\pi\) |
−0.583903 | + | 0.811823i | \(0.698475\pi\) | |||||||
\(360\) | 4.24925 | − | 2.33986i | 0.223955 | − | 0.123321i | ||||
\(361\) | −0.303074 | − | 2.10792i | −0.0159512 | − | 0.110943i | ||||
\(362\) | 14.2290i | 0.747861i | ||||||||
\(363\) | −5.16402 | − | 14.1750i | −0.271041 | − | 0.743995i | ||||
\(364\) | −43.8978 | −2.30087 | ||||||||
\(365\) | 3.17865 | + | 4.21495i | 0.166378 | + | 0.220621i | ||||
\(366\) | −11.6977 | −0.611451 | ||||||||
\(367\) | −8.76092 | − | 29.8369i | −0.457316 | − | 1.55748i | −0.789188 | − | 0.614152i | \(-0.789498\pi\) |
0.331872 | − | 0.943324i | \(-0.392320\pi\) | |||||||
\(368\) | 3.61727 | + | 1.65195i | 0.188563 | + | 0.0861140i | ||||
\(369\) | −0.0372334 | − | 0.258964i | −0.00193829 | − | 0.0134811i | ||||
\(370\) | −1.63859 | + | 24.1110i | −0.0851861 | + | 1.25347i | ||||
\(371\) | 12.7426 | + | 27.9025i | 0.661565 | + | 1.44862i | ||||
\(372\) | 37.2904i | 1.93342i | ||||||||
\(373\) | −7.63253 | + | 25.9940i | −0.395198 | + | 1.34592i | 0.486325 | + | 0.873778i | \(0.338337\pi\) |
−0.881523 | + | 0.472141i | \(0.843481\pi\) | |||||||
\(374\) | 22.7771 | − | 38.0568i | 1.17778 | − | 1.96787i | ||||
\(375\) | 3.41852 | + | 14.9478i | 0.176532 | + | 0.771899i | ||||
\(376\) | 14.3611 | − | 4.21680i | 0.740617 | − | 0.217465i | ||||
\(377\) | −7.34756 | − | 3.35552i | −0.378419 | − | 0.172818i | ||||
\(378\) | −55.8894 | − | 25.5238i | −2.87464 | − | 1.31280i | ||||
\(379\) | −20.2812 | + | 13.0340i | −1.04178 | + | 0.669509i | −0.945426 | − | 0.325838i | \(-0.894354\pi\) |
−0.0963513 | + | 0.995347i | \(0.530717\pi\) | |||||||
\(380\) | −10.2386 | + | 27.7508i | −0.525230 | + | 1.42358i | ||||
\(381\) | 1.71478 | + | 11.9266i | 0.0878510 | + | 0.611017i | ||||
\(382\) | 6.31924 | + | 5.47565i | 0.323320 | + | 0.280159i | ||||
\(383\) | 11.0336 | + | 1.58639i | 0.563789 | + | 0.0810607i | 0.418316 | − | 0.908301i | \(-0.362620\pi\) |
0.145473 | + | 0.989362i | \(0.453530\pi\) | |||||||
\(384\) | −16.1705 | − | 10.3921i | −0.825195 | − | 0.530321i | ||||
\(385\) | −11.5430 | + | 34.6493i | −0.588285 | + | 1.76589i | ||||
\(386\) | −38.4849 | + | 24.7327i | −1.95883 | + | 1.25886i | ||||
\(387\) | −2.80323 | + | 1.28019i | −0.142496 | + | 0.0650759i | ||||
\(388\) | −9.69142 | + | 8.39766i | −0.492007 | + | 0.426327i | ||||
\(389\) | −3.45944 | − | 7.57512i | −0.175401 | − | 0.384074i | 0.801430 | − | 0.598089i | \(-0.204073\pi\) |
−0.976830 | + | 0.214015i | \(0.931346\pi\) | |||||||
\(390\) | 18.3780 | − | 10.1199i | 0.930606 | − | 0.512439i | ||||
\(391\) | −15.6741 | − | 4.60233i | −0.792673 | − | 0.232750i | ||||
\(392\) | 25.2751 | + | 21.9010i | 1.27658 | + | 1.10617i | ||||
\(393\) | −3.90974 | + | 13.3154i | −0.197220 | + | 0.671671i | ||||
\(394\) | 29.8254 | + | 8.75751i | 1.50258 | + | 0.441197i | ||||
\(395\) | −12.3616 | + | 33.5050i | −0.621981 | + | 1.68582i | ||||
\(396\) | −9.56902 | + | 4.74429i | −0.480861 | + | 0.238410i | ||||
\(397\) | −16.7525 | − | 14.5161i | −0.840782 | − | 0.728541i | 0.123805 | − | 0.992307i | \(-0.460490\pi\) |
−0.964587 | + | 0.263765i | \(0.915036\pi\) | |||||||
\(398\) | −9.38431 | − | 14.6023i | −0.470393 | − | 0.731945i | ||||
\(399\) | 29.7883 | − | 8.74663i | 1.49128 | − | 0.437879i | ||||
\(400\) | −5.53535 | + | 4.86552i | −0.276767 | + | 0.243276i | ||||
\(401\) | 18.7535 | + | 12.0522i | 0.936507 | + | 0.601857i | 0.917402 | − | 0.397961i | \(-0.130282\pi\) |
0.0191048 | + | 0.999817i | \(0.493918\pi\) | |||||||
\(402\) | 4.77507 | + | 16.2624i | 0.238159 | + | 0.811095i | ||||
\(403\) | − | 29.2663i | − | 1.45786i | ||||||
\(404\) | 0.635166 | + | 4.41767i | 0.0316007 | + | 0.219788i | ||||
\(405\) | 9.79034 | − | 0.735102i | 0.486486 | − | 0.0365275i | ||||
\(406\) | 11.7820 | + | 25.7989i | 0.584730 | + | 1.28038i | ||||
\(407\) | 1.79651 | − | 16.1302i | 0.0890499 | − | 0.799543i | ||||
\(408\) | 14.6440 | + | 6.68770i | 0.724987 | + | 0.331091i | ||||
\(409\) | 2.18174 | + | 2.51787i | 0.107880 | + | 0.124500i | 0.807122 | − | 0.590385i | \(-0.201024\pi\) |
−0.699241 | + | 0.714886i | \(0.746479\pi\) | |||||||
\(410\) | −0.407328 | − | 1.08038i | −0.0201165 | − | 0.0533562i | ||||
\(411\) | 10.2295 | − | 6.57409i | 0.504583 | − | 0.324276i | ||||
\(412\) | 29.9161 | − | 13.6622i | 1.47386 | − | 0.673090i | ||||
\(413\) | 14.3705 | + | 12.4521i | 0.707124 | + | 0.612727i | ||||
\(414\) | 4.36649 | + | 5.03920i | 0.214601 | + | 0.247663i | ||||
\(415\) | −10.0651 | + | 18.5892i | −0.494077 | + | 0.912507i | ||||
\(416\) | 18.5863 | + | 11.9447i | 0.911269 | + | 0.585637i | ||||
\(417\) | 18.0366 | − | 2.59327i | 0.883256 | − | 0.126993i | ||||
\(418\) | 13.0040 | − | 31.0583i | 0.636044 | − | 1.51911i | ||||
\(419\) | 1.71091 | − | 11.8997i | 0.0835836 | − | 0.581337i | −0.904389 | − | 0.426709i | \(-0.859673\pi\) |
0.987973 | − | 0.154628i | \(-0.0494180\pi\) | |||||||
\(420\) | −42.5003 | − | 9.08774i | −2.07380 | − | 0.443437i | ||||
\(421\) | −21.4025 | − | 13.7546i | −1.04309 | − | 0.670356i | −0.0973444 | − | 0.995251i | \(-0.531035\pi\) |
−0.945750 | + | 0.324894i | \(0.894671\pi\) | |||||||
\(422\) | −31.7968 | − | 4.57169i | −1.54784 | − | 0.222546i | ||||
\(423\) | −8.55161 | − | 1.22954i | −0.415794 | − | 0.0597821i | ||||
\(424\) | −1.71853 | + | 11.9526i | −0.0834590 | + | 0.580470i | ||||
\(425\) | 19.6630 | − | 23.0200i | 0.953794 | − | 1.11663i | ||||
\(426\) | 28.1463 | + | 18.0885i | 1.36369 | + | 0.876393i | ||||
\(427\) | −14.3729 | − | 12.4542i | −0.695553 | − | 0.602700i | ||||
\(428\) | −37.7245 | − | 5.42397i | −1.82348 | − | 0.262177i | ||||
\(429\) | −12.6235 | + | 6.25870i | −0.609469 | + | 0.302173i | ||||
\(430\) | −10.8587 | + | 8.18890i | −0.523651 | + | 0.394904i | ||||
\(431\) | 16.6842 | + | 10.7223i | 0.803652 | + | 0.516476i | 0.876806 | − | 0.480845i | \(-0.159670\pi\) |
−0.0731538 | + | 0.997321i | \(0.523306\pi\) | |||||||
\(432\) | 4.50172 | + | 7.00481i | 0.216589 | + | 0.337019i | ||||
\(433\) | 6.49429 | − | 5.62733i | 0.312096 | − | 0.270432i | −0.484701 | − | 0.874680i | \(-0.661072\pi\) |
0.796797 | + | 0.604247i | \(0.206526\pi\) | |||||||
\(434\) | −67.2939 | + | 77.6613i | −3.23021 | + | 3.72786i | ||||
\(435\) | −6.41899 | − | 4.76979i | −0.307767 | − | 0.228694i | ||||
\(436\) | 24.4296 | − | 15.6999i | 1.16996 | − | 0.751891i | ||||
\(437\) | −12.2754 | − | 1.76493i | −0.587211 | − | 0.0844282i | ||||
\(438\) | 5.40457 | − | 4.68308i | 0.258240 | − | 0.223766i | ||||
\(439\) | 1.50488 | − | 3.29522i | 0.0718239 | − | 0.157272i | −0.870315 | − | 0.492496i | \(-0.836085\pi\) |
0.942139 | + | 0.335224i | \(0.108812\pi\) | |||||||
\(440\) | −11.1972 | + | 9.01822i | −0.533807 | + | 0.429927i | ||||
\(441\) | −8.01940 | − | 17.5600i | −0.381876 | − | 0.836192i | ||||
\(442\) | −37.6794 | − | 17.2076i | −1.79223 | − | 0.818483i | ||||
\(443\) | −30.3726 | + | 4.36692i | −1.44305 | + | 0.207479i | −0.818948 | − | 0.573868i | \(-0.805442\pi\) |
−0.624097 | + | 0.781347i | \(0.714533\pi\) | |||||||
\(444\) | 19.3138 | 0.916593 | ||||||||
\(445\) | 15.1996 | + | 15.0922i | 0.720530 | + | 0.715441i | ||||
\(446\) | 33.6844 | + | 21.6477i | 1.59500 | + | 1.02505i | ||||
\(447\) | 0.814978 | − | 2.77556i | 0.0385471 | − | 0.131280i | ||||
\(448\) | −17.7656 | − | 60.5041i | −0.839346 | − | 2.85855i | ||||
\(449\) | −8.40855 | + | 5.40385i | −0.396824 | + | 0.255023i | −0.723801 | − | 0.690009i | \(-0.757606\pi\) |
0.326977 | + | 0.945032i | \(0.393970\pi\) | |||||||
\(450\) | −11.8317 | + | 3.56539i | −0.557752 | + | 0.168074i | ||||
\(451\) | 0.242066 | + | 0.736670i | 0.0113984 | + | 0.0346884i | ||||
\(452\) | 9.46414 | − | 8.20073i | 0.445156 | − | 0.385730i | ||||
\(453\) | 5.30664 | − | 18.0728i | 0.249328 | − | 0.849132i | ||||
\(454\) | −1.18962 | − | 0.349304i | −0.0558316 | − | 0.0163936i | ||||
\(455\) | 33.3551 | + | 7.13226i | 1.56371 | + | 0.334365i | ||||
\(456\) | 11.7267 | + | 3.44326i | 0.549151 | + | 0.161245i | ||||
\(457\) | − | 16.4439i | − | 0.769215i | −0.923080 | − | 0.384607i | \(-0.874337\pi\) | ||
0.923080 | − | 0.384607i | \(-0.125663\pi\) | |||||||
\(458\) | 21.0461 | − | 9.61145i | 0.983421 | − | 0.449113i | ||||
\(459\) | −22.3997 | − | 25.8507i | −1.04553 | − | 1.20661i | ||||
\(460\) | 13.9350 | + | 10.3547i | 0.649721 | + | 0.482792i | ||||
\(461\) | −24.2770 | + | 15.6018i | −1.13069 | + | 0.726651i | −0.965704 | − | 0.259645i | \(-0.916394\pi\) |
−0.164986 | + | 0.986296i | \(0.552758\pi\) | |||||||
\(462\) | 47.8888 | + | 12.4179i | 2.22799 | + | 0.577733i | ||||
\(463\) | −15.5946 | + | 24.2657i | −0.724745 | + | 1.12772i | 0.261941 | + | 0.965084i | \(0.415637\pi\) |
−0.986685 | + | 0.162641i | \(0.947999\pi\) | |||||||
\(464\) | 0.547006 | − | 3.80451i | 0.0253941 | − | 0.176620i | ||||
\(465\) | 6.05873 | − | 28.3346i | 0.280967 | − | 1.31399i | ||||
\(466\) | −7.54821 | − | 52.4989i | −0.349664 | − | 2.43197i | ||||
\(467\) | −2.21585 | + | 1.92004i | −0.102537 | + | 0.0888490i | −0.704621 | − | 0.709584i | \(-0.748883\pi\) |
0.602084 | + | 0.798433i | \(0.294337\pi\) | |||||||
\(468\) | 5.39294 | + | 8.39158i | 0.249289 | + | 0.387901i | ||||
\(469\) | −11.4469 | + | 25.0653i | −0.528571 | + | 1.15741i | ||||
\(470\) | −38.0212 | + | 2.85480i | −1.75379 | + | 0.131682i | ||||
\(471\) | −27.9539 | + | 8.20799i | −1.28805 | + | 0.378204i | ||||
\(472\) | 2.10891 | + | 7.18230i | 0.0970706 | + | 0.330592i | ||||
\(473\) | 7.52250 | − | 5.18050i | 0.345885 | − | 0.238199i | ||||
\(474\) | 46.4174 | + | 13.6294i | 2.13202 | + | 0.626018i | ||||
\(475\) | 12.2884 | − | 19.4225i | 0.563833 | − | 0.891166i | ||||
\(476\) | 35.6463 | + | 78.0545i | 1.63384 | + | 3.57762i | ||||
\(477\) | 3.76843 | − | 5.86378i | 0.172544 | − | 0.268484i | ||||
\(478\) | −22.7969 | + | 3.27770i | −1.04271 | + | 0.149918i | ||||
\(479\) | 11.2419 | − | 24.6164i | 0.513656 | − | 1.12475i | −0.458130 | − | 0.888885i | \(-0.651480\pi\) |
0.971786 | − | 0.235865i | \(-0.0757923\pi\) | |||||||
\(480\) | 15.5218 | + | 15.4122i | 0.708470 | + | 0.703466i | ||||
\(481\) | −15.1579 | −0.691140 | ||||||||
\(482\) | 15.2068 | − | 2.18640i | 0.692649 | − | 0.0995879i | ||||
\(483\) | − | 18.2218i | − | 0.829118i | ||||||
\(484\) | 25.4857 | − | 18.7763i | 1.15844 | − | 0.853470i | ||||
\(485\) | 8.72828 | − | 4.80624i | 0.396331 | − | 0.218240i | ||||
\(486\) | 3.43411 | + | 23.8847i | 0.155774 | + | 1.08343i | ||||
\(487\) | − | 35.4876i | − | 1.60810i | −0.594563 | − | 0.804049i | \(-0.702675\pi\) | ||
0.594563 | − | 0.804049i | \(-0.297325\pi\) | |||||||
\(488\) | −2.10927 | − | 7.18351i | −0.0954821 | − | 0.325182i | ||||
\(489\) | −6.32413 | + | 13.8479i | −0.285987 | + | 0.626224i | ||||
\(490\) | −51.2970 | − | 68.0209i | −2.31736 | − | 3.07287i | ||||
\(491\) | −22.9175 | − | 14.7282i | −1.03425 | − | 0.664673i | −0.0906933 | − | 0.995879i | \(-0.528908\pi\) |
−0.943559 | + | 0.331206i | \(0.892545\pi\) | |||||||
\(492\) | −0.839374 | + | 0.383329i | −0.0378419 | + | 0.0172818i | ||||
\(493\) | 15.7894i | 0.711120i | ||||||||
\(494\) | −30.1729 | − | 8.85957i | −1.35754 | − | 0.398611i | ||||
\(495\) | 8.04170 | − | 2.05017i | 0.361448 | − | 0.0921481i | ||||
\(496\) | 13.3621 | − | 3.92346i | 0.599975 | − | 0.176169i | ||||
\(497\) | 15.3248 | + | 52.1916i | 0.687413 | + | 2.34111i | ||||
\(498\) | 26.0478 | + | 11.8956i | 1.16723 | + | 0.533056i | ||||
\(499\) | 3.93689 | − | 8.62058i | 0.176239 | − | 0.385910i | −0.800812 | − | 0.598916i | \(-0.795598\pi\) |
0.977051 | + | 0.213006i | \(0.0683255\pi\) | |||||||
\(500\) | −28.0734 | + | 15.7190i | −1.25548 | + | 0.702974i | ||||
\(501\) | 6.17612 | + | 7.12763i | 0.275929 | + | 0.318439i | ||||
\(502\) | −8.51633 | + | 1.22446i | −0.380102 | + | 0.0546504i | ||||
\(503\) | −14.3664 | − | 12.4486i | −0.640566 | − | 0.555054i | 0.272862 | − | 0.962053i | \(-0.412030\pi\) |
−0.913428 | + | 0.406999i | \(0.866575\pi\) | |||||||
\(504\) | 1.52038 | − | 10.5745i | 0.0677232 | − | 0.471025i | ||||
\(505\) | 0.235136 | − | 3.45990i | 0.0104634 | − | 0.153964i | ||||
\(506\) | −15.3404 | − | 12.4590i | −0.681962 | − | 0.553869i | ||||
\(507\) | −2.52485 | − | 3.92874i | −0.112133 | − | 0.174482i | ||||
\(508\) | −22.9980 | + | 10.5028i | −1.02037 | + | 0.465988i | ||||
\(509\) | 5.02801 | + | 5.80263i | 0.222863 | + | 0.257197i | 0.856159 | − | 0.516712i | \(-0.172844\pi\) |
−0.633297 | + | 0.773909i | \(0.718299\pi\) | |||||||
\(510\) | −32.9175 | − | 24.4602i | −1.45761 | − | 1.08312i | ||||
\(511\) | 11.6265 | 0.514324 | ||||||||
\(512\) | −4.57195 | + | 15.5706i | −0.202054 | + | 0.688132i | ||||
\(513\) | −19.6250 | − | 17.0052i | −0.866465 | − | 0.750796i | ||||
\(514\) | −67.5634 | − | 19.8384i | −2.98009 | − | 0.875035i | ||||
\(515\) | −24.9511 | + | 5.52046i | −1.09948 | + | 0.243261i | ||||
\(516\) | 7.11788 | + | 8.21447i | 0.313347 | + | 0.361622i | ||||
\(517\) | 25.5933 | − | 0.816211i | 1.12559 | − | 0.0358969i | ||||
\(518\) | 40.2231 | + | 34.8535i | 1.76730 | + | 1.53137i | ||||
\(519\) | −4.87535 | + | 3.13320i | −0.214004 | + | 0.137532i | ||||
\(520\) | 9.52836 | + | 9.46106i | 0.417846 | + | 0.414895i | ||||
\(521\) | 7.65007 | + | 2.24626i | 0.335156 | + | 0.0984106i | 0.444980 | − | 0.895540i | \(-0.353211\pi\) |
−0.109824 | + | 0.993951i | \(0.535029\pi\) | |||||||
\(522\) | 3.48433 | − | 5.42172i | 0.152505 | − | 0.237302i | ||||
\(523\) | 10.3621 | + | 35.2902i | 0.453105 | + | 1.54313i | 0.796913 | + | 0.604094i | \(0.206465\pi\) |
−0.343808 | + | 0.939040i | \(0.611717\pi\) | |||||||
\(524\) | −29.1190 | −1.27207 | ||||||||
\(525\) | 30.8167 | + | 13.8104i | 1.34495 | + | 0.602735i | ||||
\(526\) | 0.730316 | − | 1.59917i | 0.0318433 | − | 0.0697271i | ||||
\(527\) | −52.0383 | + | 23.7651i | −2.26682 | + | 1.03522i | ||||
\(528\) | −4.54984 | − | 4.92445i | −0.198006 | − | 0.214309i | ||||
\(529\) | 6.53079 | − | 14.3004i | 0.283947 | − | 0.621758i | ||||
\(530\) | 10.6478 | − | 28.8598i | 0.462511 | − | 1.25359i | ||||
\(531\) | 0.614918 | − | 4.27685i | 0.0266852 | − | 0.185599i | ||||
\(532\) | 35.2191 | + | 54.8020i | 1.52694 | + | 2.37597i | ||||
\(533\) | 0.658759 | − | 0.300845i | 0.0285340 | − | 0.0130310i | ||||
\(534\) | 19.0011 | − | 21.9285i | 0.822259 | − | 0.948938i | ||||
\(535\) | 27.7832 | + | 10.2506i | 1.20117 | + | 0.443171i | ||||
\(536\) | −9.12563 | + | 5.86469i | −0.394167 | + | 0.253316i | ||||
\(537\) | −7.29704 | + | 11.3544i | −0.314891 | + | 0.489979i | ||||
\(538\) | 39.5308 | − | 5.68367i | 1.70429 | − | 0.245041i | ||||
\(539\) | 32.4517 | + | 47.1225i | 1.39779 | + | 2.02971i | ||||
\(540\) | 12.8243 | + | 34.0147i | 0.551872 | + | 1.46376i | ||||
\(541\) | 2.92952 | − | 3.38085i | 0.125950 | − | 0.145354i | −0.689272 | − | 0.724503i | \(-0.742070\pi\) |
0.815222 | + | 0.579149i | \(0.196615\pi\) | |||||||
\(542\) | −23.3368 | + | 36.3127i | −1.00240 | + | 1.55976i | ||||
\(543\) | −8.74606 | − | 1.25749i | −0.375329 | − | 0.0539642i | ||||
\(544\) | 6.14618 | − | 42.7476i | 0.263515 | − | 1.83279i | ||||
\(545\) | −21.1133 | + | 7.96020i | −0.904394 | + | 0.340977i | ||||
\(546\) | 6.57564 | − | 45.7346i | 0.281412 | − | 1.95726i | ||||
\(547\) | −16.5294 | + | 25.7203i | −0.706747 | + | 1.09972i | 0.283306 | + | 0.959030i | \(0.408569\pi\) |
−0.990054 | + | 0.140691i | \(0.955068\pi\) | |||||||
\(548\) | 19.2828 | + | 16.7087i | 0.823721 | + | 0.713758i | ||||
\(549\) | −0.615022 | + | 4.27757i | −0.0262485 | + | 0.182562i | ||||
\(550\) | 32.6972 | − | 16.5009i | 1.39421 | − | 0.703602i | ||||
\(551\) | 1.70590 | + | 11.8648i | 0.0726739 | + | 0.505458i | ||||
\(552\) | 3.87818 | − | 6.03456i | 0.165066 | − | 0.256848i | ||||
\(553\) | 42.5219 | + | 66.1653i | 1.80821 | + | 2.81364i | ||||
\(554\) | 21.3726 | + | 24.6654i | 0.908037 | + | 1.04793i | ||||
\(555\) | −14.6753 | − | 3.13799i | −0.622933 | − | 0.133200i | ||||
\(556\) | 15.8835 | + | 34.7800i | 0.673610 | + | 1.47500i | ||||
\(557\) | 13.9543 | + | 21.7133i | 0.591263 | + | 0.920024i | 0.999973 | + | 0.00735925i | \(0.00234254\pi\) |
−0.408710 | + | 0.912665i | \(0.634021\pi\) | |||||||
\(558\) | 23.1131 | + | 3.32316i | 0.978454 | + | 0.140680i | ||||
\(559\) | −5.58626 | − | 6.44689i | −0.236274 | − | 0.272674i | ||||
\(560\) | 1.21525 | + | 16.1851i | 0.0513535 | + | 0.683943i | ||||
\(561\) | 21.3792 | + | 17.3635i | 0.902631 | + | 0.733089i | ||||
\(562\) | 43.4436 | − | 19.8400i | 1.83256 | − | 0.836901i | ||||
\(563\) | −17.0906 | − | 7.80501i | −0.720282 | − | 0.328942i | 0.0213285 | − | 0.999773i | \(-0.493210\pi\) |
−0.741610 | + | 0.670831i | \(0.765938\pi\) | |||||||
\(564\) | 4.33660 | + | 30.1617i | 0.182604 | + | 1.27004i | ||||
\(565\) | −8.52360 | + | 4.69353i | −0.358590 | + | 0.197458i | ||||
\(566\) | 17.7844 | − | 5.22197i | 0.747533 | − | 0.219496i | ||||
\(567\) | 11.6898 | − | 18.1898i | 0.490927 | − | 0.763898i | ||||
\(568\) | −6.03288 | + | 20.5461i | −0.253134 | + | 0.862096i | ||||
\(569\) | −28.5492 | + | 8.38279i | −1.19684 | + | 0.351425i | −0.818645 | − | 0.574300i | \(-0.805274\pi\) |
−0.378198 | + | 0.925725i | \(0.623456\pi\) | |||||||
\(570\) | −27.3782 | − | 14.8239i | −1.14675 | − | 0.620906i | ||||
\(571\) | −4.07593 | + | 4.70387i | −0.170572 | + | 0.196851i | −0.834599 | − | 0.550858i | \(-0.814301\pi\) |
0.664027 | + | 0.747709i | \(0.268846\pi\) | |||||||
\(572\) | −20.0631 | − | 21.7150i | −0.838880 | − | 0.907949i | ||||
\(573\) | −3.92414 | + | 3.40029i | −0.163933 | + | 0.142049i | ||||
\(574\) | −2.43984 | − | 0.716401i | −0.101837 | − | 0.0299020i | ||||
\(575\) | −8.90591 | − | 10.1320i | −0.371402 | − | 0.422532i | ||||
\(576\) | −9.38353 | + | 10.8292i | −0.390980 | + | 0.451215i | ||||
\(577\) | 2.49890 | − | 8.51048i | 0.104031 | − | 0.354296i | −0.890983 | − | 0.454037i | \(-0.849983\pi\) |
0.995013 | + | 0.0997413i | \(0.0318015\pi\) | |||||||
\(578\) | 43.4249i | 1.80624i | ||||||||
\(579\) | −11.8012 | − | 25.8410i | −0.490441 | − | 1.07392i | ||||
\(580\) | 5.80837 | − | 15.7430i | 0.241179 | − | 0.653693i | ||||
\(581\) | 19.3398 | + | 42.3482i | 0.802350 | + | 1.75690i | ||||
\(582\) | −7.29732 | − | 11.3548i | −0.302484 | − | 0.470674i | ||||
\(583\) | −7.97865 | + | 19.0560i | −0.330442 | + | 0.789218i | ||||
\(584\) | 3.85037 | + | 2.47448i | 0.159330 | + | 0.102395i | ||||
\(585\) | −2.73434 | − | 7.25244i | −0.113051 | − | 0.299851i | ||||
\(586\) | 28.3540 | − | 32.7223i | 1.17129 | − | 1.35175i | ||||
\(587\) | 32.8240 | − | 4.71938i | 1.35479 | − | 0.194789i | 0.573627 | − | 0.819116i | \(-0.305536\pi\) |
0.781163 | + | 0.624327i | \(0.214627\pi\) | |||||||
\(588\) | −51.4571 | + | 44.5879i | −2.12206 | + | 1.83877i | ||||
\(589\) | −36.5360 | + | 23.4803i | −1.50544 | + | 0.967488i | ||||
\(590\) | −1.42775 | − | 19.0152i | −0.0587794 | − | 0.782844i | ||||
\(591\) | −8.01874 | + | 17.5586i | −0.329847 | + | 0.722264i | ||||
\(592\) | −2.03208 | − | 6.92062i | −0.0835178 | − | 0.284436i | ||||
\(593\) | −8.54419 | − | 29.0988i | −0.350868 | − | 1.19495i | −0.926202 | − | 0.377028i | \(-0.876946\pi\) |
0.575334 | − | 0.817919i | \(-0.304872\pi\) | |||||||
\(594\) | −12.9178 | − | 39.3123i | −0.530025 | − | 1.61300i | ||||
\(595\) | −14.4035 | − | 65.1001i | −0.590485 | − | 2.66885i | ||||
\(596\) | 6.06981 | 0.248629 | ||||||||
\(597\) | 9.80481 | − | 4.47771i | 0.401284 | − | 0.183260i | ||||
\(598\) | −9.97864 | + | 15.5271i | −0.408057 | + | 0.634949i | ||||
\(599\) | −4.77064 | − | 33.1806i | −0.194923 | − | 1.35572i | −0.818747 | − | 0.574155i | \(-0.805331\pi\) |
0.623823 | − | 0.781565i | \(-0.285578\pi\) | |||||||
\(600\) | 7.26638 | + | 11.1324i | 0.296649 | + | 0.454479i | ||||
\(601\) | −27.9984 | + | 8.22106i | −1.14208 | + | 0.335344i | −0.797444 | − | 0.603393i | \(-0.793815\pi\) |
−0.344633 | + | 0.938737i | \(0.611997\pi\) | |||||||
\(602\) | 29.9523i | 1.22077i | ||||||||
\(603\) | 6.19781 | − | 0.891110i | 0.252394 | − | 0.0362888i | ||||
\(604\) | 39.5229 | 1.60816 | ||||||||
\(605\) | −22.4156 | + | 10.1262i | −0.911325 | + | 0.411687i | ||||
\(606\) | −4.69766 | −0.190830 | ||||||||
\(607\) | 40.9384 | − | 5.88605i | 1.66164 | − | 0.238907i | 0.753460 | − | 0.657494i | \(-0.228383\pi\) |
0.908177 | + | 0.418586i | \(0.137474\pi\) | |||||||
\(608\) | − | 32.7863i | − | 1.32966i | ||||||
\(609\) | −16.8989 | + | 4.96196i | −0.684777 | + | 0.201069i | ||||
\(610\) | 1.42799 | + | 19.0184i | 0.0578176 | + | 0.770034i | ||||
\(611\) | −3.40345 | − | 23.6715i | −0.137689 | − | 0.957648i | ||||
\(612\) | 10.5418 | − | 16.4034i | 0.426127 | − | 0.663067i | ||||
\(613\) | −6.28666 | + | 2.87102i | −0.253916 | + | 0.115959i | −0.538307 | − | 0.842749i | \(-0.680936\pi\) |
0.284391 | + | 0.958708i | \(0.408209\pi\) | |||||||
\(614\) | 7.29120 | 0.294249 | ||||||||
\(615\) | 0.700067 | − | 0.154891i | 0.0282294 | − | 0.00624580i | ||||
\(616\) | 1.00929 | + | 31.6474i | 0.0406653 | + | 1.27511i | ||||
\(617\) | −0.695556 | − | 2.36884i | −0.0280020 | − | 0.0953661i | 0.944306 | − | 0.329067i | \(-0.106734\pi\) |
−0.972308 | + | 0.233701i | \(0.924916\pi\) | |||||||
\(618\) | 9.75263 | + | 33.2144i | 0.392308 | + | 1.33608i | ||||
\(619\) | −0.225918 | + | 0.494692i | −0.00908041 | + | 0.0198833i | −0.914118 | − | 0.405449i | \(-0.867115\pi\) |
0.905037 | + | 0.425332i | \(0.139843\pi\) | |||||||
\(620\) | 60.6276 | − | 4.55219i | 2.43486 | − | 0.182820i | ||||
\(621\) | −12.8217 | + | 8.24000i | −0.514517 | + | 0.330660i | ||||
\(622\) | 35.5173 | − | 30.7759i | 1.42411 | − | 1.23400i | ||||
\(623\) | 46.6930 | − | 6.71344i | 1.87072 | − | 0.268968i | ||||
\(624\) | −4.10056 | + | 4.73229i | −0.164154 | + | 0.189443i | ||||
\(625\) | 23.8851 | − | 7.38264i | 0.955403 | − | 0.295305i | ||||
\(626\) | −27.5194 | − | 17.6856i | −1.09990 | − | 0.706860i | ||||
\(627\) | 17.9412 | + | 10.7378i | 0.716501 | + | 0.428828i | ||||
\(628\) | −33.0503 | − | 51.4272i | −1.31885 | − | 2.05217i | ||||
\(629\) | 12.3086 | + | 26.9522i | 0.490777 | + | 1.07465i | ||||
\(630\) | −9.42013 | + | 25.5323i | −0.375307 | + | 1.01723i | ||||
\(631\) | −15.1470 | − | 33.1674i | −0.602993 | − | 1.32037i | −0.927264 | − | 0.374407i | \(-0.877846\pi\) |
0.324271 | − | 0.945964i | \(-0.394881\pi\) | |||||||
\(632\) | 30.9622i | 1.23161i | ||||||||
\(633\) | 5.62010 | − | 19.1403i | 0.223379 | − | 0.760758i | ||||
\(634\) | −6.49464 | + | 7.49522i | −0.257935 | + | 0.297673i | ||||
\(635\) | 19.1812 | − | 4.24385i | 0.761181 | − | 0.168412i | ||||
\(636\) | −23.5885 | − | 6.92621i | −0.935346 | − | 0.274642i | ||||
\(637\) | 40.3846 | − | 34.9935i | 1.60010 | − | 1.38649i | ||||
\(638\) | −7.37714 | + | 17.6194i | −0.292064 | + | 0.697558i | ||||
\(639\) | 8.09435 | − | 9.34138i | 0.320208 | − | 0.369539i | ||||
\(640\) | −14.9217 | + | 27.5589i | −0.589834 | + | 1.08936i | ||||
\(641\) | 42.2071 | − | 12.3931i | 1.66708 | − | 0.489498i | 0.694001 | − | 0.719974i | \(-0.255847\pi\) |
0.973078 | + | 0.230476i | \(0.0740283\pi\) | |||||||
\(642\) | 11.3018 | − | 38.4905i | 0.446048 | − | 1.51910i | ||||
\(643\) | −20.0024 | + | 31.1244i | −0.788818 | + | 1.22743i | 0.180973 | + | 0.983488i | \(0.442075\pi\) |
−0.969791 | + | 0.243937i | \(0.921561\pi\) | |||||||
\(644\) | 36.6858 | − | 10.7719i | 1.44562 | − | 0.424473i | ||||
\(645\) | −4.07378 | − | 7.39811i | −0.160405 | − | 0.291300i | ||||
\(646\) | 8.74813 | + | 60.8445i | 0.344190 | + | 2.39390i | ||||
\(647\) | 20.5038 | + | 9.36377i | 0.806088 | + | 0.368128i | 0.775455 | − | 0.631403i | \(-0.217521\pi\) |
0.0306326 | + | 0.999531i | \(0.490248\pi\) | |||||||
\(648\) | 7.74274 | − | 3.53599i | 0.304163 | − | 0.138907i | ||||
\(649\) | 0.408205 | + | 12.7998i | 0.0160234 | + | 0.502435i | ||||
\(650\) | −18.6966 | − | 28.6440i | −0.733340 | − | 1.12351i | ||||
\(651\) | −41.7884 | − | 48.2264i | −1.63782 | − | 1.89014i | ||||
\(652\) | −31.6185 | − | 4.54605i | −1.23828 | − | 0.178037i | ||||
\(653\) | 2.41845 | + | 3.76318i | 0.0946412 | + | 0.147265i | 0.885346 | − | 0.464934i | \(-0.153922\pi\) |
−0.790704 | + | 0.612198i | \(0.790285\pi\) | |||||||
\(654\) | 12.6974 | + | 27.8035i | 0.496509 | + | 1.08720i | ||||
\(655\) | 22.1257 | + | 4.73109i | 0.864522 | + | 0.184859i | ||||
\(656\) | 0.225670 | + | 0.260437i | 0.00881093 | + | 0.0101684i | ||||
\(657\) | −1.42833 | − | 2.22253i | −0.0557247 | − | 0.0867092i | ||||
\(658\) | −45.3980 | + | 70.6407i | −1.76980 | + | 2.75386i | ||||
\(659\) | 0.211736 | + | 1.47266i | 0.00824808 | + | 0.0573666i | 0.993530 | − | 0.113572i | \(-0.0362292\pi\) |
−0.985282 | + | 0.170938i | \(0.945320\pi\) | |||||||
\(660\) | −14.9289 | − | 25.1771i | −0.581107 | − | 0.980019i | ||||
\(661\) | 2.88690 | − | 20.0788i | 0.112287 | − | 0.780977i | −0.853398 | − | 0.521261i | \(-0.825462\pi\) |
0.965685 | − | 0.259716i | \(-0.0836290\pi\) | |||||||
\(662\) | −45.8479 | − | 39.7274i | −1.78193 | − | 1.54405i | ||||
\(663\) | 13.9068 | − | 21.6394i | 0.540096 | − | 0.840405i | ||||
\(664\) | −2.60825 | + | 18.1407i | −0.101220 | + | 0.703997i | ||||
\(665\) | −17.8568 | − | 47.3627i | −0.692458 | − | 1.83665i | ||||
\(666\) | 1.72116 | − | 11.9709i | 0.0666936 | − | 0.463864i | ||||
\(667\) | 6.96382 | + | 1.00125i | 0.269640 | + | 0.0387684i | ||||
\(668\) | −10.6990 | + | 16.6479i | −0.413955 | + | 0.644127i | ||||
\(669\) | −16.2829 | + | 18.7915i | −0.629533 | + | 0.726519i | ||||
\(670\) | 25.8569 | − | 9.74863i | 0.998937 | − | 0.376622i | ||||
\(671\) | −0.408274 | − | 12.8019i | −0.0157612 | − | 0.494213i | ||||
\(672\) | 47.6828 | − | 6.85575i | 1.83940 | − | 0.264466i | ||||
\(673\) | 0.917725 | − | 1.42801i | 0.0353757 | − | 0.0550456i | −0.823115 | − | 0.567874i | \(-0.807766\pi\) |
0.858491 | + | 0.512829i | \(0.171402\pi\) | |||||||
\(674\) | 11.9671 | − | 7.69080i | 0.460956 | − | 0.296239i | ||||
\(675\) | −4.21788 | − | 27.9292i | −0.162346 | − | 1.07500i | ||||
\(676\) | 6.41714 | − | 7.40578i | 0.246813 | − | 0.284838i | ||||
\(677\) | −28.0601 | + | 12.8146i | −1.07844 | + | 0.492506i | −0.873777 | − | 0.486327i | \(-0.838336\pi\) |
−0.204661 | + | 0.978833i | \(0.565609\pi\) | |||||||
\(678\) | 7.12619 | + | 11.0886i | 0.273680 | + | 0.425854i | ||||
\(679\) | 3.12298 | − | 21.7208i | 0.119849 | − | 0.833567i | ||||
\(680\) | 9.08536 | − | 24.6250i | 0.348408 | − | 0.944325i | ||||
\(681\) | 0.319837 | − | 0.700345i | 0.0122562 | − | 0.0268373i | ||||
\(682\) | −69.1728 | + | 2.20603i | −2.64876 | + | 0.0844733i | ||||
\(683\) | −32.8719 | + | 15.0121i | −1.25781 | + | 0.574421i | −0.929036 | − | 0.369988i | \(-0.879362\pi\) |
−0.328771 | + | 0.944410i | \(0.606634\pi\) | |||||||
\(684\) | 6.14930 | − | 13.4651i | 0.235124 | − | 0.514850i | ||||
\(685\) | −11.9370 | − | 15.8288i | −0.456091 | − | 0.604787i | ||||
\(686\) | −111.494 | −4.25687 | ||||||||
\(687\) | 4.04785 | + | 13.7857i | 0.154435 | + | 0.525957i | ||||
\(688\) | 2.19455 | − | 3.41478i | 0.0836664 | − | 0.130187i | ||||
\(689\) | 18.5128 | + | 5.43584i | 0.705280 | + | 0.207089i | ||||
\(690\) | −12.8754 | + | 12.9670i | −0.490157 | + | 0.493644i | ||||
\(691\) | 11.9068 | − | 7.65204i | 0.452956 | − | 0.291097i | −0.294202 | − | 0.955743i | \(-0.595054\pi\) |
0.747158 | + | 0.664646i | \(0.231418\pi\) | |||||||
\(692\) | −9.19015 | − | 7.96331i | −0.349357 | − | 0.302720i | ||||
\(693\) | 7.05872 | − | 16.8589i | 0.268139 | − | 0.640415i | ||||
\(694\) | −12.1602 | − | 14.0336i | −0.461593 | − | 0.532707i | ||||
\(695\) | −6.41799 | − | 29.0077i | −0.243448 | − | 1.10033i | ||||
\(696\) | −6.65253 | − | 1.95336i | −0.252164 | − | 0.0740419i | ||||
\(697\) | −1.06986 | − | 0.927040i | −0.0405239 | − | 0.0351141i | ||||
\(698\) | −2.26831 | + | 7.72515i | −0.0858568 | + | 0.292401i | ||||
\(699\) | 32.9362 | 1.24576 | ||||||||
\(700\) | −9.58688 | + | 70.2073i | −0.362350 | + | 2.65359i | ||||
\(701\) | 7.20129 | + | 8.31073i | 0.271989 | + | 0.313892i | 0.875268 | − | 0.483638i | \(-0.160685\pi\) |
−0.603279 | + | 0.797530i | \(0.706140\pi\) | |||||||
\(702\) | −35.1546 | + | 16.0546i | −1.32682 | + | 0.605940i | ||||
\(703\) | 12.1611 | + | 18.9231i | 0.458666 | + | 0.713698i | ||||
\(704\) | 21.8100 | − | 36.4410i | 0.821997 | − | 1.37342i | ||||
\(705\) | 1.60539 | − | 23.6225i | 0.0604625 | − | 0.889676i | ||||
\(706\) | −8.47282 | + | 58.9298i | −0.318879 | + | 2.21785i | ||||
\(707\) | −5.77197 | − | 5.00144i | −0.217077 | − | 0.188099i | ||||
\(708\) | −15.0845 | + | 2.16883i | −0.566911 | + | 0.0815095i | ||||
\(709\) | 18.7946 | + | 21.6901i | 0.705846 | + | 0.814589i | 0.989530 | − | 0.144328i | \(-0.0461022\pi\) |
−0.283684 | + | 0.958918i | \(0.591557\pi\) | |||||||
\(710\) | 25.9728 | − | 47.9690i | 0.974742 | − | 1.80025i | ||||
\(711\) | 7.42437 | − | 16.2571i | 0.278436 | − | 0.609689i | ||||
\(712\) | 16.8923 | + | 7.71447i | 0.633067 | + | 0.289112i | ||||
\(713\) | 7.18155 | + | 24.4581i | 0.268951 | + | 0.915964i | ||||
\(714\) | −86.6600 | + | 25.4457i | −3.24317 | + | 0.952281i | ||||
\(715\) | 11.7165 | + | 19.7596i | 0.438174 | + | 0.738965i | ||||
\(716\) | −27.1735 | − | 7.97886i | −1.01552 | − | 0.298184i | ||||
\(717\) | − | 14.3021i | − | 0.534121i | ||||||
\(718\) | 60.0639 | − | 27.4302i | 2.24156 | − | 1.02369i | ||||
\(719\) | −9.45753 | − | 6.07799i | −0.352706 | − | 0.226671i | 0.352275 | − | 0.935897i | \(-0.385408\pi\) |
−0.704981 | + | 0.709226i | \(0.749045\pi\) | |||||||
\(720\) | 2.94467 | − | 2.22068i | 0.109741 | − | 0.0827598i | ||||
\(721\) | −23.3793 | + | 51.1935i | −0.870690 | + | 1.90654i | ||||
\(722\) | 1.32509 | + | 4.51285i | 0.0493148 | + | 0.167951i | ||||
\(723\) | 9.54026i | 0.354806i | ||||||||
\(724\) | −2.63859 | − | 18.3518i | −0.0980624 | − | 0.682039i | ||||
\(725\) | −6.97124 | + | 11.0184i | −0.258905 | + | 0.409213i | ||||
\(726\) | 15.7444 | + | 29.3647i | 0.584328 | + | 1.08983i | ||||
\(727\) | 10.5290i | 0.390501i | 0.980753 | + | 0.195250i | \(0.0625520\pi\) | ||||
−0.980753 | + | 0.195250i | \(0.937448\pi\) | |||||||
\(728\) | 29.2710 | − | 4.20854i | 1.08486 | − | 0.155979i | ||||
\(729\) | −28.1566 | −1.04284 | ||||||||
\(730\) | −8.27361 | − | 8.21518i | −0.306220 | − | 0.304057i | ||||
\(731\) | −6.92697 | + | 15.1680i | −0.256203 | + | 0.561007i | ||||
\(732\) | 15.0871 | − | 2.16919i | 0.557634 | − | 0.0801757i | ||||
\(733\) | 11.9876 | − | 18.6530i | 0.442771 | − | 0.688966i | −0.546103 | − | 0.837718i | \(-0.683889\pi\) |
0.988875 | + | 0.148752i | \(0.0475257\pi\) | |||||||
\(734\) | 28.5303 | + | 62.4726i | 1.05307 | + | 2.30590i | ||||
\(735\) | 46.3433 | − | 25.5190i | 1.70940 | − | 0.941282i | ||||
\(736\) | −18.4638 | − | 5.42146i | −0.680585 | − | 0.199838i | ||||
\(737\) | −17.6308 | + | 5.79339i | −0.649439 | + | 0.213402i | ||||
\(738\) | 0.162791 | + | 0.554415i | 0.00599241 | + | 0.0204083i | ||||
\(739\) | −41.1408 | + | 12.0800i | −1.51339 | + | 0.444371i | −0.929920 | − | 0.367763i | \(-0.880124\pi\) |
−0.583471 | + | 0.812134i | \(0.698306\pi\) | |||||||
\(740\) | −2.35771 | − | 31.4008i | −0.0866712 | − | 1.15432i | ||||
\(741\) | 8.11219 | − | 17.7632i | 0.298009 | − | 0.652548i | ||||
\(742\) | −36.6266 | − | 56.9921i | −1.34461 | − | 2.09225i | ||||
\(743\) | 29.9562 | − | 25.9572i | 1.09899 | − | 0.952277i | 0.0998989 | − | 0.994998i | \(-0.468148\pi\) |
0.999087 | + | 0.0427209i | \(0.0136026\pi\) | |||||||
\(744\) | −3.57508 | − | 24.8652i | −0.131069 | − | 0.911603i | ||||
\(745\) | −4.61206 | − | 0.986186i | −0.168973 | − | 0.0361311i | ||||
\(746\) | 8.51516 | − | 59.2242i | 0.311762 | − | 2.16835i | ||||
\(747\) | 5.71942 | − | 8.89960i | 0.209263 | − | 0.325619i | ||||
\(748\) | −22.3195 | + | 53.3073i | −0.816081 | + | 1.94911i | ||||
\(749\) | 54.8660 | − | 35.2602i | 2.00476 | − | 1.28838i | ||||
\(750\) | −12.1714 | − | 31.6026i | −0.444439 | − | 1.15397i | ||||
\(751\) | −9.30837 | − | 10.7424i | −0.339667 | − | 0.391997i | 0.560058 | − | 0.828453i | \(-0.310779\pi\) |
−0.899725 | + | 0.436456i | \(0.856233\pi\) | |||||||
\(752\) | 10.3514 | − | 4.72733i | 0.377477 | − | 0.172388i | ||||
\(753\) | − | 5.34288i | − | 0.194705i | ||||||
\(754\) | 17.1171 | + | 5.02604i | 0.623368 | + | 0.183037i | ||||
\(755\) | −30.0309 | − | 6.42144i | −1.09294 | − | 0.233700i | ||||
\(756\) | 76.8160 | + | 22.5552i | 2.79377 | + | 0.820325i | ||||
\(757\) | 9.71745 | − | 33.0946i | 0.353187 | − | 1.20284i | −0.571015 | − | 0.820940i | \(-0.693450\pi\) |
0.924202 | − | 0.381904i | \(-0.124732\pi\) | |||||||
\(758\) | 40.2398 | − | 34.8680i | 1.46158 | − | 1.26646i | ||||
\(759\) | 9.01378 | − | 8.32808i | 0.327179 | − | 0.302290i | ||||
\(760\) | 4.16660 | − | 19.4858i | 0.151139 | − | 0.706824i | ||||
\(761\) | 15.6911 | − | 10.0840i | 0.568801 | − | 0.365546i | −0.224409 | − | 0.974495i | \(-0.572045\pi\) |
0.793209 | + | 0.608949i | \(0.208409\pi\) | |||||||
\(762\) | −7.49733 | − | 25.5336i | −0.271600 | − | 0.924984i | ||||
\(763\) | −14.0002 | + | 47.6804i | −0.506843 | + | 1.72615i | ||||
\(764\) | −9.16558 | − | 5.89036i | −0.331599 | − | 0.213106i | ||||
\(765\) | −10.6752 | + | 10.7511i | −0.385961 | + | 0.388706i | ||||
\(766\) | −24.6190 | −0.889521 | ||||||||
\(767\) | 11.8387 | − | 1.70214i | 0.427469 | − | 0.0614608i | ||||
\(768\) | 6.66696 | + | 3.04470i | 0.240573 | + | 0.109866i | ||||
\(769\) | −12.7779 | − | 27.9796i | −0.460781 | − | 1.00897i | −0.987309 | − | 0.158812i | \(-0.949234\pi\) |
0.526528 | − | 0.850158i | \(-0.323494\pi\) | |||||||
\(770\) | 14.3433 | − | 79.3746i | 0.516897 | − | 2.86046i | ||||
\(771\) | 18.1649 | − | 39.7755i | 0.654192 | − | 1.43248i | ||||
\(772\) | 45.0492 | − | 39.0354i | 1.62136 | − | 1.40491i | ||||
\(773\) | 45.9179 | + | 6.60199i | 1.65155 | + | 0.237457i | 0.904242 | − | 0.427020i | \(-0.140437\pi\) |
0.747309 | + | 0.664477i | \(0.231346\pi\) | |||||||
\(774\) | 5.72574 | − | 3.67971i | 0.205807 | − | 0.132264i | ||||
\(775\) | −46.8066 | − | 6.39150i | −1.68134 | − | 0.229589i | ||||
\(776\) | 5.65713 | − | 6.52868i | 0.203079 | − | 0.234366i | ||||
\(777\) | −24.9779 | + | 21.6434i | −0.896076 | + | 0.776454i | ||||
\(778\) | 9.94360 | + | 15.4726i | 0.356496 | + | 0.554718i | ||||
\(779\) | −0.904095 | − | 0.581026i | −0.0323926 | − | 0.0208174i | ||||
\(780\) | −21.8263 | + | 16.4600i | −0.781507 | + | 0.589362i | ||||
\(781\) | −18.8136 | + | 31.4345i | −0.673204 | + | 1.12481i | ||||
\(782\) | 35.7115 | + | 5.13454i | 1.27704 | + | 0.183611i | ||||
\(783\) | 11.1333 | + | 9.64702i | 0.397870 | + | 0.344756i | ||||
\(784\) | 21.3909 | + | 13.7471i | 0.763961 | + | 0.490968i | ||||
\(785\) | 16.7572 | + | 44.4460i | 0.598089 | + | 1.58635i | ||||
\(786\) | 4.36187 | − | 30.3374i | 0.155583 | − | 1.08210i | ||||
\(787\) | −20.6997 | − | 2.97616i | −0.737863 | − | 0.106089i | −0.236872 | − | 0.971541i | \(-0.576122\pi\) |
−0.500992 | + | 0.865452i | \(0.667031\pi\) | |||||||
\(788\) | −40.0910 | − | 5.76422i | −1.42818 | − | 0.205342i | ||||
\(789\) | 0.918408 | + | 0.590225i | 0.0326962 | + | 0.0210126i | ||||
\(790\) | 16.4926 | − | 77.1303i | 0.586780 | − | 2.74417i | ||||
\(791\) | −3.04974 | + | 21.2114i | −0.108436 | + | 0.754191i | ||||
\(792\) | 5.92577 | − | 4.08088i | 0.210563 | − | 0.145008i | ||||
\(793\) | −11.8407 | + | 1.70243i | −0.420474 | + | 0.0604550i | ||||
\(794\) | 41.1849 | + | 26.4680i | 1.46160 | + | 0.939312i | ||||
\(795\) | 16.7981 | + | 9.09531i | 0.595766 | + | 0.322577i | ||||
\(796\) | 14.8111 | + | 17.0930i | 0.524967 | + | 0.605844i | ||||
\(797\) | −33.1373 | − | 28.7136i | −1.17378 | − | 1.01709i | −0.999475 | − | 0.0323973i | \(-0.989686\pi\) |
−0.174308 | − | 0.984691i | \(-0.555769\pi\) | |||||||
\(798\) | −62.3706 | + | 28.4837i | −2.20790 | + | 1.00831i | ||||
\(799\) | −39.3265 | + | 25.2736i | −1.39127 | + | 0.894117i | ||||
\(800\) | 23.1626 | − | 27.1171i | 0.818923 | − | 0.958735i | ||||
\(801\) | −7.01969 | − | 8.10115i | −0.248029 | − | 0.286240i | ||||
\(802\) | −44.7851 | − | 20.4526i | −1.58142 | − | 0.722208i | ||||
\(803\) | 5.31376 | + | 5.75127i | 0.187519 | + | 0.202958i | ||||
\(804\) | −9.17426 | − | 20.0888i | −0.323551 | − | 0.708479i | ||||
\(805\) | −29.6253 | + | 2.22440i | −1.04416 | + | 0.0783998i | ||||
\(806\) | 9.19876 | + | 63.9788i | 0.324013 | + | 2.25356i | ||||
\(807\) | 24.8004i | 0.873017i | ||||||||
\(808\) | −0.847056 | − | 2.88481i | −0.0297993 | − | 0.101487i | ||||
\(809\) | −32.1468 | − | 20.6595i | −1.13022 | − | 0.726349i | −0.164615 | − | 0.986358i | \(-0.552638\pi\) |
−0.965606 | + | 0.260009i | \(0.916274\pi\) | |||||||
\(810\) | −21.1715 | + | 4.68422i | −0.743891 | + | 0.164587i | ||||
\(811\) | 20.4028 | − | 5.99079i | 0.716437 | − | 0.210365i | 0.0968572 | − | 0.995298i | \(-0.469121\pi\) |
0.619580 | + | 0.784933i | \(0.287303\pi\) | |||||||
\(812\) | −19.9798 | − | 31.0892i | −0.701153 | − | 1.09102i | ||||
\(813\) | −20.2577 | − | 17.5534i | −0.710468 | − | 0.615624i | ||||
\(814\) | 1.14257 | + | 35.8266i | 0.0400470 | + | 1.25572i | ||||
\(815\) | 23.2862 | + | 8.59144i | 0.815682 | + | 0.300945i | ||||
\(816\) | 11.7442 | + | 3.44842i | 0.411130 | + | 0.120719i | ||||
\(817\) | −3.56645 | + | 12.1462i | −0.124774 | + | 0.424942i | ||||
\(818\) | −5.56088 | − | 4.81853i | −0.194432 | − | 0.168476i | ||||
\(819\) | −16.3783 | − | 4.80910i | −0.572303 | − | 0.168043i | ||||
\(820\) | 0.725691 | + | 1.31788i | 0.0253422 | + | 0.0460223i | ||||
\(821\) | 11.0652 | + | 24.2294i | 0.386179 | + | 0.845613i | 0.998487 | + | 0.0549939i | \(0.0175139\pi\) |
−0.612308 | + | 0.790619i | \(0.709759\pi\) | |||||||
\(822\) | −20.2962 | + | 17.5868i | −0.707913 | + | 0.613410i | ||||
\(823\) | 20.9110 | − | 9.54973i | 0.728912 | − | 0.332883i | −0.0161580 | − | 0.999869i | \(-0.505143\pi\) |
0.745070 | + | 0.666987i | \(0.232416\pi\) | |||||||
\(824\) | −18.6382 | + | 11.9781i | −0.649293 | + | 0.417276i | ||||
\(825\) | 7.25289 | + | 21.5560i | 0.252513 | + | 0.750485i | ||||
\(826\) | −35.3289 | − | 22.7045i | −1.22925 | − | 0.789992i | ||||
\(827\) | −19.2421 | − | 2.76659i | −0.669112 | − | 0.0962038i | −0.200617 | − | 0.979670i | \(-0.564295\pi\) |
−0.468495 | + | 0.883466i | \(0.655204\pi\) | |||||||
\(828\) | −6.56611 | − | 5.68957i | −0.228188 | − | 0.197726i | ||||
\(829\) | −2.72695 | − | 18.9664i | −0.0947110 | − | 0.658729i | −0.980771 | − | 0.195160i | \(-0.937478\pi\) |
0.886061 | − | 0.463570i | \(-0.153432\pi\) | |||||||
\(830\) | 16.1604 | − | 43.8012i | 0.560936 | − | 1.52036i | ||||
\(831\) | −17.0497 | + | 10.9572i | −0.591447 | + | 0.380100i | ||||
\(832\) | −36.0796 | − | 16.4770i | −1.25083 | − | 0.571237i | ||||
\(833\) | −95.0152 | − | 43.3920i | −3.29208 | − | 1.50344i | ||||
\(834\) | −38.6145 | + | 11.3382i | −1.33711 | + | 0.392611i | ||||
\(835\) | 10.8343 | − | 10.9114i | 0.374937 | − | 0.377604i | ||||
\(836\) | −11.0124 | + | 42.4686i | −0.380872 | + | 1.46881i | ||||
\(837\) | −15.0374 | + | 51.2126i | −0.519768 | + | 1.77017i | ||||
\(838\) | 26.5515i | 0.917206i | ||||||||
\(839\) | −2.47424 | − | 5.41784i | −0.0854204 | − | 0.187045i | 0.862101 | − | 0.506736i | \(-0.169148\pi\) |
−0.947522 | + | 0.319691i | \(0.896421\pi\) | |||||||
\(840\) | 29.2104 | + | 1.98515i | 1.00785 | + | 0.0684940i | ||||
\(841\) | 3.15937 | + | 21.9739i | 0.108944 | + | 0.757721i | ||||
\(842\) | 51.1110 | + | 23.3416i | 1.76140 | + | 0.804405i | ||||
\(843\) | 8.35560 | + | 28.4566i | 0.287782 | + | 0.980096i | ||||
\(844\) | 41.8574 | 1.44079 | ||||||||
\(845\) | −6.07922 | + | 4.58455i | −0.209132 | + | 0.157713i | ||||
\(846\) | 19.0810 | 0.656020 | ||||||||
\(847\) | −11.9186 | + | 52.8426i | −0.409529 | + | 1.81569i | ||||
\(848\) | 9.18108i | 0.315280i | ||||||||
\(849\) | 1.63805 | + | 11.3929i | 0.0562178 | + | 0.391003i | ||||
\(850\) | −35.7495 | + | 56.5040i | −1.22620 | + | 1.93807i | ||||
\(851\) | 12.6676 | − | 3.71954i | 0.434239 | − | 0.127504i | ||||
\(852\) | −39.6558 | − | 18.1102i | −1.35858 | − | 0.620445i | ||||
\(853\) | 27.0506 | − | 3.88929i | 0.926194 | − | 0.133167i | 0.337319 | − | 0.941391i | \(-0.390480\pi\) |
0.588875 | + | 0.808224i | \(0.299571\pi\) | |||||||
\(854\) | 35.3349 | + | 22.7084i | 1.20914 | + | 0.777065i | ||||
\(855\) | −6.86018 | + | 9.23215i | −0.234613 | + | 0.315733i | ||||
\(856\) | 25.6747 | 0.877542 | ||||||||
\(857\) | −4.39332 | + | 14.9623i | −0.150073 | + | 0.511102i | −0.999872 | − | 0.0160051i | \(-0.994905\pi\) |
0.849799 | + | 0.527107i | \(0.176723\pi\) | |||||||
\(858\) | 25.6289 | − | 17.6498i | 0.874957 | − | 0.602554i | ||||
\(859\) | −20.8017 | + | 6.10794i | −0.709746 | + | 0.208400i | −0.616628 | − | 0.787255i | \(-0.711502\pi\) |
−0.0931183 | + | 0.995655i | \(0.529683\pi\) | |||||||
\(860\) | 12.4864 | − | 12.5752i | 0.425781 | − | 0.428810i | ||||
\(861\) | 0.655966 | − | 1.43637i | 0.0223553 | − | 0.0489512i | ||||
\(862\) | −39.8434 | − | 18.1959i | −1.35707 | − | 0.619754i | ||||
\(863\) | 2.94815 | + | 4.58742i | 0.100356 | + | 0.156157i | 0.887801 | − | 0.460228i | \(-0.152233\pi\) |
−0.787444 | + | 0.616386i | \(0.788596\pi\) | |||||||
\(864\) | −26.3865 | − | 30.4517i | −0.897688 | − | 1.03599i | ||||
\(865\) | 5.68917 | + | 7.54397i | 0.193438 | + | 0.256503i | ||||
\(866\) | −12.4284 | + | 14.3431i | −0.422333 | + | 0.487398i | ||||
\(867\) | −26.6917 | − | 3.83769i | −0.906498 | − | 0.130335i | ||||
\(868\) | 72.3905 | − | 112.642i | 2.45709 | − | 3.82331i | ||||
\(869\) | −13.2958 | + | 51.2746i | −0.451031 | + | 1.73937i | ||||
\(870\) | 15.5317 | + | 8.40962i | 0.526573 | + | 0.285113i | ||||
\(871\) | 7.20016 | + | 15.7661i | 0.243968 | + | 0.534215i | ||||
\(872\) | −14.7845 | + | 12.8108i | −0.500665 | + | 0.433828i | ||||
\(873\) | −4.53585 | + | 2.07145i | −0.153515 | + | 0.0701080i | ||||
\(874\) | 27.3898 | 0.926474 | ||||||||
\(875\) | 18.6913 | − | 51.7884i | 0.631882 | − | 1.75077i | ||||
\(876\) | −6.10208 | + | 7.04218i | −0.206170 | + | 0.237933i | ||||
\(877\) | −2.13037 | + | 7.25537i | −0.0719374 | + | 0.244996i | −0.987610 | − | 0.156929i | \(-0.949841\pi\) |
0.915672 | + | 0.401925i | \(0.131659\pi\) | |||||||
\(878\) | −2.25407 | + | 7.67665i | −0.0760711 | + | 0.259074i | ||||
\(879\) | 17.6074 | + | 20.3200i | 0.593882 | + | 0.685377i | ||||
\(880\) | −7.45086 | + | 7.99838i | −0.251169 | + | 0.269625i | ||||
\(881\) | 5.39511 | − | 6.22629i | 0.181766 | − | 0.209769i | −0.657553 | − | 0.753408i | \(-0.728409\pi\) |
0.839319 | + | 0.543639i | \(0.182954\pi\) | |||||||
\(882\) | 23.0505 | + | 35.8672i | 0.776149 | + | 1.20771i | ||||
\(883\) | 2.64346 | + | 9.00279i | 0.0889595 | + | 0.302968i | 0.991939 | − | 0.126715i | \(-0.0404434\pi\) |
−0.902980 | + | 0.429683i | \(0.858625\pi\) | |||||||
\(884\) | 51.7877 | + | 15.2062i | 1.74181 | + | 0.511441i | ||||
\(885\) | 11.8141 | + | 0.802891i | 0.397128 | + | 0.0269889i | ||||
\(886\) | 65.0246 | − | 19.0929i | 2.18454 | − | 0.641440i | ||||
\(887\) | 30.1557i | 1.01253i | 0.862378 | + | 0.506264i | \(0.168974\pi\) | ||||
−0.862378 | + | 0.506264i | \(0.831026\pi\) | |||||||
\(888\) | −12.8784 | + | 1.85164i | −0.432172 | + | 0.0621369i | ||||
\(889\) | 17.9728 | − | 39.3550i | 0.602789 | − | 1.31992i | ||||
\(890\) | −37.9713 | − | 28.2156i | −1.27280 | − | 0.945788i | ||||
\(891\) | 14.3407 | − | 2.53083i | 0.480431 | − | 0.0847860i | ||||
\(892\) | −47.4585 | − | 21.6736i | −1.58903 | − | 0.725685i | ||||
\(893\) | −26.8209 | + | 23.2405i | −0.897529 | + | 0.777713i | ||||
\(894\) | −0.909222 | + | 6.32378i | −0.0304089 | + | 0.211499i | ||||
\(895\) | 19.3510 | + | 10.4776i | 0.646834 | + | 0.350228i | ||||
\(896\) | 28.6717 | + | 62.7822i | 0.957853 | + | 2.09741i | ||||
\(897\) | −8.66205 | − | 7.50571i | −0.289217 | − | 0.250608i | ||||
\(898\) | 16.6833 | − | 14.4562i | 0.556730 | − | 0.482410i | ||||
\(899\) | 20.7269 | − | 13.3204i | 0.691281 | − | 0.444259i | ||||
\(900\) | 14.5987 | − | 6.79247i | 0.486624 | − | 0.226416i | ||||
\(901\) | −5.36746 | − | 37.3315i | −0.178816 | − | 1.24369i | ||||
\(902\) | −0.760722 | − | 1.53434i | −0.0253293 | − | 0.0510880i | ||||
\(903\) | −18.4106 | − | 2.64704i | −0.612666 | − | 0.0880881i | ||||
\(904\) | −5.52447 | + | 6.37558i | −0.183741 | + | 0.212049i | ||||
\(905\) | −0.976795 | + | 14.3730i | −0.0324698 | + | 0.477776i | ||||
\(906\) | −5.92030 | + | 41.1766i | −0.196689 | + | 1.36800i | ||||
\(907\) | 18.8851 | + | 2.71527i | 0.627069 | + | 0.0901590i | 0.448521 | − | 0.893772i | \(-0.351951\pi\) |
0.178548 | + | 0.983931i | \(0.442860\pi\) | |||||||
\(908\) | 1.59908 | + | 0.229913i | 0.0530672 | + | 0.00762991i | ||||
\(909\) | −0.246985 | + | 1.71782i | −0.00819197 | + | 0.0569764i | ||||
\(910\) | −75.1590 | − | 5.10782i | −2.49150 | − | 0.169323i | ||||
\(911\) | 21.5130 | − | 24.8273i | 0.712758 | − | 0.822566i | −0.277659 | − | 0.960680i | \(-0.589558\pi\) |
0.990416 | + | 0.138114i | \(0.0441039\pi\) | |||||||
\(912\) | 9.19766 | + | 1.32242i | 0.304565 | + | 0.0437898i | ||||
\(913\) | −12.1094 | + | 28.9217i | −0.400762 | + | 0.957169i | ||||
\(914\) | 5.16853 | + | 35.9479i | 0.170960 | + | 1.18905i | ||||
\(915\) | −11.8161 | − | 0.803027i | −0.390629 | − | 0.0265472i | ||||
\(916\) | −25.3618 | + | 16.2990i | −0.837977 | + | 0.538535i | ||||
\(917\) | 37.6586 | − | 32.6314i | 1.24360 | − | 1.07758i | ||||
\(918\) | 57.0930 | + | 49.4714i | 1.88435 | + | 1.63280i | ||||
\(919\) | 10.7119 | + | 23.4558i | 0.353353 | + | 0.773734i | 0.999941 | + | 0.0108949i | \(0.00346802\pi\) |
−0.646588 | + | 0.762839i | \(0.723805\pi\) | |||||||
\(920\) | −10.2845 | − | 5.56856i | −0.339072 | − | 0.183590i | ||||
\(921\) | −0.644361 | + | 4.48163i | −0.0212324 | + | 0.147675i | ||||
\(922\) | 48.1677 | − | 41.7376i | 1.58632 | − | 1.37455i | ||||
\(923\) | 31.1227 | + | 14.2133i | 1.02442 | + | 0.467835i | ||||
\(924\) | −64.0670 | − | 7.13552i | −2.10765 | − | 0.234742i | ||||
\(925\) | −3.31034 | + | 24.2425i | −0.108843 | + | 0.797089i | ||||
\(926\) | 26.4643 | − | 57.9487i | 0.869670 | − | 1.90431i | ||||
\(927\) | 12.6584 | − | 1.82001i | 0.415757 | − | 0.0597769i | ||||
\(928\) | 18.5997i | 0.610565i | ||||||||
\(929\) | 11.3271 | − | 3.32594i | 0.371630 | − | 0.109120i | −0.0905839 | − | 0.995889i | \(-0.528873\pi\) |
0.462214 | + | 0.886768i | \(0.347055\pi\) | |||||||
\(930\) | −4.33901 | + | 63.8463i | −0.142282 | + | 2.09360i | ||||
\(931\) | −76.0863 | − | 22.3410i | −2.49363 | − | 0.732195i | ||||
\(932\) | 19.4705 | + | 66.3104i | 0.637777 | + | 2.17207i | ||||
\(933\) | 15.7780 | + | 24.5510i | 0.516547 | + | 0.803763i | ||||
\(934\) | 4.24055 | − | 4.89386i | 0.138755 | − | 0.160132i | ||||
\(935\) | 25.6202 | − | 36.8784i | 0.837870 | − | 1.20605i | ||||
\(936\) | −4.40052 | − | 5.07847i | −0.143836 | − | 0.165995i | ||||
\(937\) | 5.73544 | − | 19.5331i | 0.187369 | − | 0.638119i | −0.811207 | − | 0.584759i | \(-0.801189\pi\) |
0.998575 | − | 0.0533595i | \(-0.0169929\pi\) | |||||||
\(938\) | 17.1457 | − | 58.3929i | 0.559827 | − | 1.90660i | ||||
\(939\) | 13.3027 | − | 15.3522i | 0.434118 | − | 0.500999i | ||||
\(940\) | 48.5082 | − | 10.7325i | 1.58216 | − | 0.350055i | ||||
\(941\) | −13.0356 | −0.424947 | −0.212473 | − | 0.977167i | \(-0.568152\pi\) | ||||
−0.212473 | + | 0.977167i | \(0.568152\pi\) | |||||||
\(942\) | 58.5298 | − | 26.7296i | 1.90700 | − | 0.870899i | ||||
\(943\) | −0.476707 | + | 0.413069i | −0.0155237 | + | 0.0134514i | ||||
\(944\) | 2.36424 | + | 5.17697i | 0.0769495 | + | 0.168496i | ||||
\(945\) | −54.7029 | − | 29.6188i | −1.77948 | − | 0.963501i | ||||
\(946\) | −14.8166 | + | 13.6894i | −0.481728 | + | 0.445082i | ||||
\(947\) | −19.2620 | + | 29.9722i | −0.625930 | + | 0.973967i | 0.373005 | + | 0.927829i | \(0.378328\pi\) |
−0.998935 | + | 0.0461374i | \(0.985309\pi\) | |||||||
\(948\) | −62.3939 | − | 8.97089i | −2.02646 | − | 0.291361i | ||||
\(949\) | 4.78904 | − | 5.52685i | 0.155459 | − | 0.179409i | ||||
\(950\) | −20.7589 | + | 46.3218i | −0.673508 | + | 1.50288i | ||||
\(951\) | −4.03307 | − | 4.65441i | −0.130781 | − | 0.150930i | ||||
\(952\) | −31.2521 | − | 48.6292i | −1.01289 | − | 1.57608i | ||||
\(953\) | −5.03099 | − | 2.29758i | −0.162970 | − | 0.0744258i | 0.332260 | − | 0.943188i | \(-0.392189\pi\) |
−0.495230 | + | 0.868762i | \(0.664916\pi\) | |||||||
\(954\) | −6.39505 | + | 14.0032i | −0.207048 | + | 0.453371i | ||||
\(955\) | 6.00730 | + | 5.96487i | 0.194392 | + | 0.193019i | ||||
\(956\) | 28.7943 | − | 8.45477i | 0.931275 | − | 0.273447i | ||||
\(957\) | −10.1780 | − | 6.09157i | −0.329009 | − | 0.196913i | ||||
\(958\) | −16.8386 | + | 57.3470i | −0.544031 | + | 1.85280i | ||||
\(959\) | −43.6618 | −1.40991 | ||||||||
\(960\) | −31.5199 | − | 23.4216i | −1.01730 | − | 0.755930i | ||||
\(961\) | 49.0185 | + | 31.5023i | 1.58124 | + | 1.01620i | ||||
\(962\) | 33.1365 | − | 4.76431i | 1.06836 | − | 0.153607i | ||||
\(963\) | −13.4808 | − | 6.15648i | −0.434413 | − | 0.198390i | ||||
\(964\) | −19.2074 | + | 5.63979i | −0.618628 | + | 0.181645i | ||||
\(965\) | −40.5722 | + | 22.3411i | −1.30607 | + | 0.719187i | ||||
\(966\) | 5.72732 | + | 39.8344i | 0.184273 | + | 1.28165i | ||||
\(967\) | 27.8434i | 0.895384i | 0.894188 | + | 0.447692i | \(0.147754\pi\) | ||||
−0.894188 | + | 0.447692i | \(0.852246\pi\) | |||||||
\(968\) | −15.1938 | + | 14.9634i | −0.488346 | + | 0.480942i | ||||
\(969\) | −38.1720 | −1.22626 | ||||||||
\(970\) | −17.5701 | + | 13.2503i | −0.564143 | + | 0.425441i | ||||
\(971\) | 50.1494 | 1.60937 | 0.804685 | − | 0.593702i | \(-0.202334\pi\) | ||||
0.804685 | + | 0.593702i | \(0.202334\pi\) | |||||||
\(972\) | −8.85823 | − | 30.1683i | −0.284128 | − | 0.967650i | ||||
\(973\) | −59.5167 | − | 27.1804i | −1.90802 | − | 0.871362i | ||||
\(974\) | 11.1542 | + | 77.5791i | 0.357403 | + | 2.48580i | ||||
\(975\) | 19.2587 | − | 8.96067i | 0.616772 | − | 0.286971i | ||||
\(976\) | −2.36464 | − | 5.17784i | −0.0756903 | − | 0.165739i | ||||
\(977\) | − | 0.427116i | − | 0.0136647i | −0.999977 | − | 0.00683233i | \(-0.997825\pi\) | ||
0.999977 | − | 0.00683233i | \(-0.00217482\pi\) | |||||||
\(978\) | 9.47254 | − | 32.2605i | 0.302898 | − | 1.03158i | ||||
\(979\) | 24.6616 | + | 20.0294i | 0.788187 | + | 0.640141i | ||||
\(980\) | 78.7735 | + | 78.2171i | 2.51633 | + | 2.49855i | ||||
\(981\) | 10.8346 | − | 3.18134i | 0.345923 | − | 0.101572i | ||||
\(982\) | 54.7289 | + | 24.9939i | 1.74647 | + | 0.797586i | ||||
\(983\) | −36.1810 | − | 16.5233i | −1.15400 | − | 0.527012i | −0.255853 | − | 0.966716i | \(-0.582356\pi\) |
−0.898143 | + | 0.439703i | \(0.855084\pi\) | |||||||
\(984\) | 0.522944 | − | 0.336076i | 0.0166708 | − | 0.0107137i | ||||
\(985\) | 29.5260 | + | 10.8936i | 0.940778 | + | 0.347099i | ||||
\(986\) | −4.96281 | − | 34.5171i | −0.158048 | − | 1.09925i | ||||
\(987\) | −39.4082 | − | 34.1474i | −1.25438 | − | 1.08692i | ||||
\(988\) | 40.5582 | + | 5.83139i | 1.29033 | + | 0.185521i | ||||
\(989\) | 6.25046 | + | 4.01693i | 0.198753 | + | 0.127731i | ||||
\(990\) | −16.9355 | + | 7.00945i | −0.538245 | + | 0.222775i | ||||
\(991\) | −25.6276 | + | 16.4698i | −0.814087 | + | 0.523182i | −0.880185 | − | 0.474631i | \(-0.842581\pi\) |
0.0660979 | + | 0.997813i | \(0.478945\pi\) | |||||||
\(992\) | −61.3002 | + | 27.9949i | −1.94628 | + | 0.888838i | ||||
\(993\) | 28.4708 | − | 24.6701i | 0.903494 | − | 0.782882i | ||||
\(994\) | −49.9059 | − | 109.279i | −1.58292 | − | 3.46611i | ||||
\(995\) | −8.47687 | − | 15.3943i | −0.268735 | − | 0.488031i | ||||
\(996\) | −35.8008 | − | 10.5121i | −1.13439 | − | 0.333088i | ||||
\(997\) | −4.91907 | − | 4.26240i | −0.155788 | − | 0.134991i | 0.573479 | − | 0.819220i | \(-0.305593\pi\) |
−0.729267 | + | 0.684229i | \(0.760139\pi\) | |||||||
\(998\) | −5.89683 | + | 20.0828i | −0.186661 | + | 0.635709i | ||||
\(999\) | 26.5245 | + | 7.78830i | 0.839198 | + | 0.246411i |
(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 | 605.2.o.a.34.10 | ✓ | 640 | |
5.4 | even | 2 | inner | 605.2.o.a.34.55 | yes | 640 | |
121.89 | even | 11 | inner | 605.2.o.a.89.55 | yes | 640 | |
605.89 | even | 22 | inner | 605.2.o.a.89.10 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.o.a.34.10 | ✓ | 640 | 1.1 | even | 1 | trivial | |
605.2.o.a.34.55 | yes | 640 | 5.4 | even | 2 | inner | |
605.2.o.a.89.10 | yes | 640 | 605.89 | even | 22 | inner | |
605.2.o.a.89.55 | yes | 640 | 121.89 | even | 11 | inner |