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 | 34.55 | ||
Character | \(\chi\) | \(=\) | 605.34 |
Dual form | 605.2.o.a.89.55 |
$q$-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 | 0.683992 | − | 0.729490i | \(-0.260242\pi\) |
0.861806 | + | 0.507237i | \(0.169333\pi\) | |||||||
\(3\) | 1.37149i | 0.791828i | 0.918288 | + | 0.395914i | \(0.129572\pi\) | ||||
−0.918288 | + | 0.395914i | \(0.870428\pi\) | |||||||
\(4\) | 2.76121 | − | 0.810764i | 1.38060 | − | 0.405382i | ||||
\(5\) | 1.33367 | + | 1.79480i | 0.596437 | + | 0.802660i | ||||
\(6\) | 0.431075 | + | 2.99819i | 0.175985 | + | 1.22401i | ||||
\(7\) | 2.66241 | − | 4.14280i | 1.00630 | − | 1.56583i | 0.195331 | − | 0.980737i | \(-0.437422\pi\) |
0.810967 | − | 0.585092i | \(-0.198942\pi\) | |||||||
\(8\) | 1.76344 | − | 0.805337i | 0.623471 | − | 0.284730i | ||||
\(9\) | 1.11903 | 0.373009 | ||||||||
\(10\) | 3.47966 | + | 3.50441i | 1.10036 | + | 1.10819i | ||||
\(11\) | −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 | \(-0.949580\pi\) |
0.745442 | − | 0.666570i | \(-0.232238\pi\) | |||||||
\(14\) | 4.51814 | − | 9.89335i | 1.20752 | − | 2.64411i | ||||
\(15\) | −2.46155 | + | 1.82911i | −0.635568 | + | 0.472275i | ||||
\(16\) | −1.23997 | + | 0.796879i | −0.309992 | + | 0.199220i | ||||
\(17\) | −4.57600 | + | 3.96513i | −1.10984 | + | 0.961685i | −0.999481 | − | 0.0322068i | \(-0.989746\pi\) |
−0.110362 | + | 0.993891i | \(0.535201\pi\) | |||||||
\(18\) | 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 | \(0.0504857\pi\) | |||||||
\(20\) | 5.13771 | + | 3.87453i | 1.14883 | + | 0.866371i | ||||
\(21\) | 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 | 0.959360 | − | 0.282185i | \(-0.0910593\pi\) |
−0.655217 | + | 0.755440i | \(0.727423\pi\) | |||||||
\(24\) | 1.10451 | + | 2.41853i | 0.225457 | + | 0.493681i | ||||
\(25\) | −1.44263 | + | 4.78736i | −0.288526 | + | 0.957472i | ||||
\(26\) | −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 | \(0.305115\pi\) | |||||||
\(30\) | −4.80625 | + | 4.77230i | −0.877496 | + | 0.871299i | ||||
\(31\) | −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 | ||||
\(35\) | 10.9863 | − | 0.746630i | 1.85702 | − | 0.126204i | ||||
\(36\) | 3.08987 | − | 0.907266i | 0.514978 | − | 0.151211i | ||||
\(37\) | 1.37866 | − | 4.69528i | 0.226650 | − | 0.771899i | −0.765122 | − | 0.643885i | \(-0.777322\pi\) |
0.991772 | − | 0.128014i | \(-0.0408603\pi\) | |||||||
\(38\) | 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 | −0.215144 | − | 0.976582i | \(-0.569022\pi\) |
0.597162 | + | 0.802120i | \(0.296295\pi\) | |||||||
\(44\) | −8.55119 | + | 4.23966i | −1.28914 | + | 0.639153i | ||||
\(45\) | 1.49242 | + | 2.00843i | 0.222476 | + | 0.299399i | ||||
\(46\) | 3.90204 | + | 4.50320i | 0.575325 | + | 0.663961i | ||||
\(47\) | 7.64201 | + | 1.09875i | 1.11470 | + | 0.160270i | 0.674960 | − | 0.737855i | \(-0.264161\pi\) |
0.439741 | + | 0.898124i | \(0.355070\pi\) | |||||||
\(48\) | −1.09291 | − | 1.70060i | −0.157748 | − | 0.245460i | ||||
\(49\) | −7.16641 | − | 15.6922i | −1.02377 | − | 2.24175i | ||||
\(50\) | −1.64899 | + | 10.9190i | −0.233203 | + | 1.54418i | ||||
\(51\) | −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 | −0.991673 | − | 0.128781i | \(-0.958894\pi\) |
0.529099 | + | 0.848560i | \(0.322530\pi\) | |||||||
\(54\) | 1.77561 | + | 12.3496i | 0.241630 | + | 1.68057i | ||||
\(55\) | −5.39052 | − | 5.09336i | −0.726857 | − | 0.686788i | ||||
\(56\) | 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 | \(-0.0354183\pi\) | |||||||
\(60\) | −5.31386 | + | 7.04629i | −0.686016 | + | 0.909673i | ||||
\(61\) | −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 | ||||
\(65\) | 4.17043 | − | 5.53008i | 0.517278 | − | 0.685922i | ||||
\(66\) | −3.13614 | − | 9.54407i | −0.386032 | − | 1.17479i | ||||
\(67\) | −5.53857 | + | 0.796326i | −0.676644 | + | 0.0972867i | −0.472065 | − | 0.881564i | \(-0.656491\pi\) |
−0.204578 | + | 0.978850i | \(0.565582\pi\) | |||||||
\(68\) | −9.42051 | + | 14.6586i | −1.14240 | + | 1.77762i | ||||
\(69\) | −3.11279 | + | 2.00047i | −0.374736 | + | 0.240828i | ||||
\(70\) | 23.7823 | − | 5.08532i | 2.84253 | − | 0.607813i | ||||
\(71\) | 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 | 0.907882 | − | 0.419226i | \(-0.137699\pi\) |
−0.758489 | + | 0.651685i | \(0.774062\pi\) | |||||||
\(74\) | 1.53809 | − | 10.6976i | 0.178799 | − | 1.24357i | ||||
\(75\) | −6.56580 | − | 1.97855i | −0.758153 | − | 0.228463i | ||||
\(76\) | 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 | \(-0.218942\pi\) | |||||||
\(80\) | −3.08395 | − | 1.16272i | −0.344796 | − | 0.129996i | ||||
\(81\) | −4.39070 | −0.487855 | ||||||||
\(82\) | −0.145475 | − | 0.495444i | −0.0160651 | − | 0.0547126i | ||||
\(83\) | −5.11107 | + | 7.95298i | −0.561013 | + | 0.872953i | −0.999670 | − | 0.0257018i | \(-0.991818\pi\) |
0.438657 | + | 0.898655i | \(0.355454\pi\) | |||||||
\(84\) | 18.6491 | + | 5.47586i | 2.03478 | + | 0.597465i | ||||
\(85\) | −13.2195 | − | 2.92483i | −1.43386 | − | 0.317243i | ||||
\(86\) | 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 | \(0.942230\pi\) | |||||||
\(90\) | 3.89383 | + | 3.92153i | 0.410446 | + | 0.413365i | ||||
\(91\) | −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 | ||||||||
\(95\) | 10.2497 | + | 0.769590i | 1.05159 | + | 0.0789583i | ||||
\(96\) | −6.40601 | − | 7.39293i | −0.653810 | − | 0.754537i | ||||
\(97\) | 4.05339 | − | 1.85112i | 0.411559 | − | 0.187953i | −0.198866 | − | 0.980027i | \(-0.563726\pi\) |
0.610425 | + | 0.792074i | \(0.290999\pi\) | |||||||
\(98\) | −20.5987 | − | 32.0521i | −2.08078 | − | 3.23776i | ||||
\(99\) | −3.65491 | + | 0.645016i | −0.367333 | + | 0.0648265i | ||||
\(100\) | −0.101986 | + | 14.3885i | −0.0101986 | + | 1.43885i | ||||
\(101\) | −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 | −0.674916 | − | 0.737895i | \(-0.735820\pi\) |
−0.439688 | + | 0.898151i | \(0.644911\pi\) | |||||||
\(104\) | −3.93245 | − | 4.53829i | −0.385609 | − | 0.445016i | ||||
\(105\) | 1.02399 | + | 15.0675i | 0.0999315 | + | 1.47044i | ||||
\(106\) | −5.71483 | + | 12.5137i | −0.555074 | + | 1.21544i | ||||
\(107\) | 12.0469 | + | 5.50163i | 1.16462 | + | 0.531863i | 0.901448 | − | 0.432887i | \(-0.142505\pi\) |
0.263169 | + | 0.964750i | \(0.415232\pi\) | |||||||
\(108\) | 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 | \(0.248540\pi\) | |||||||
\(110\) | −13.3851 | − | 9.44023i | −1.27622 | − | 0.900091i | ||||
\(111\) | 6.43951 | + | 1.89081i | 0.611211 | + | 0.179468i | ||||
\(112\) | 7.25855i | 0.685869i | ||||||||
\(113\) | −3.95833 | + | 1.80771i | −0.372368 | + | 0.170055i | −0.592804 | − | 0.805347i | \(-0.701979\pi\) |
0.220436 | + | 0.975401i | \(0.429252\pi\) | |||||||
\(114\) | 11.7132 | + | 7.52760i | 1.09704 | + | 0.705025i | ||||
\(115\) | −2.12826 | + | 5.64490i | −0.198461 | + | 0.526390i | ||||
\(116\) | −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 | ||||||||
\(125\) | −10.5164 | + | 3.79554i | −0.940612 | + | 0.339483i | ||||
\(126\) | 5.05592 | − | 11.0709i | 0.450417 | − | 0.986276i | ||||
\(127\) | 8.69610 | − | 1.25031i | 0.771654 | − | 0.110947i | 0.254769 | − | 0.967002i | \(-0.418001\pi\) |
0.516885 | + | 0.856055i | \(0.327091\pi\) | |||||||
\(128\) | −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 | ||||
\(135\) | −10.1392 | + | 7.53417i | −0.872641 | + | 0.648438i | ||||
\(136\) | −4.87625 | + | 10.6775i | −0.418135 | + | 0.915587i | ||||
\(137\) | −4.79341 | − | 7.45869i | −0.409528 | − | 0.637239i | 0.573817 | − | 0.818983i | \(-0.305462\pi\) |
−0.983346 | + | 0.181745i | \(0.941826\pi\) | |||||||
\(138\) | −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 | \(0.764012\pi\) | |||||||
\(140\) | 29.7301 | − | 10.9689i | 2.51265 | − | 0.927040i | ||||
\(141\) | −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 | ||||
\(145\) | −5.81464 | − | 0.436589i | −0.482879 | − | 0.0362567i | ||||
\(146\) | 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 | \(0.563374\pi\) | |||||||
\(150\) | −14.9753 | − | 2.26157i | −1.22273 | − | 0.184657i | ||||
\(151\) | 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 | ||||
\(155\) | −7.31287 | − | 19.8208i | −0.587384 | − | 1.59205i | ||||
\(156\) | 10.2848 | − | 6.60962i | 0.823441 | − | 0.529193i | ||||
\(157\) | 5.98475 | + | 20.3822i | 0.477635 | + | 1.62667i | 0.747845 | + | 0.663873i | \(0.231089\pi\) |
−0.270210 | + | 0.962801i | \(0.587093\pi\) | |||||||
\(158\) | 9.93768 | − | 33.8446i | 0.790599 | − | 2.69253i | ||||
\(159\) | −7.18669 | − | 4.61860i | −0.569941 | − | 0.366279i | ||||
\(160\) | −15.5724 | − | 3.44540i | −1.23110 | − | 0.272383i | ||||
\(161\) | 13.2861 | 1.04709 | ||||||||
\(162\) | −9.59845 | + | 1.38005i | −0.754126 | + | 0.108427i | ||||
\(163\) | 10.0970 | + | 4.61115i | 0.790859 | + | 0.361173i | 0.769539 | − | 0.638599i | \(-0.220486\pi\) |
0.0213198 | + | 0.999773i | \(0.493213\pi\) | |||||||
\(164\) | −0.279499 | − | 0.612018i | −0.0218252 | − | 0.0477906i | ||||
\(165\) | 6.98547 | − | 7.39302i | 0.543818 | − | 0.575546i | ||||
\(166\) | −8.67353 | + | 18.9924i | −0.673197 | + | 1.47410i | ||||
\(167\) | 5.19701 | − | 4.50324i | 0.402157 | − | 0.348471i | −0.430178 | − | 0.902744i | \(-0.641549\pi\) |
0.832335 | + | 0.554273i | \(0.187004\pi\) | |||||||
\(168\) | 12.9602 | + | 1.86339i | 0.999897 | + | 0.143764i | ||||
\(169\) | 2.86459 | − | 1.84096i | 0.220353 | − | 0.141612i | ||||
\(170\) | −29.8183 | − | 2.23889i | −2.28696 | − | 0.171715i | ||||
\(171\) | 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 | 0.917174 | − | 0.398487i | \(-0.130465\pi\) |
−0.743485 | + | 0.668753i | \(0.766828\pi\) | |||||||
\(174\) | −6.64489 | − | 4.27041i | −0.503748 | − | 0.323739i | ||||
\(175\) | 15.9922 | + | 18.7225i | 1.20889 | + | 1.41528i | ||||
\(176\) | 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 | \(0.801701\pi\) | |||||||
\(180\) | 5.74924 | + | 4.33570i | 0.428523 | + | 0.323164i | ||||
\(181\) | 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 | ||||
\(185\) | 10.2658 | − | 3.78755i | 0.754755 | − | 0.278466i | ||||
\(186\) | 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 | ||||
\(190\) | 22.6486 | − | 1.53920i | 1.64310 | − | 0.111665i | ||||
\(191\) | −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 | −0.955004 | − | 0.296593i | \(-0.904150\pi\) |
−0.401245 | + | 0.915971i | \(0.631422\pi\) | |||||||
\(194\) | 8.27923 | − | 5.32074i | 0.594414 | − | 0.382007i | ||||
\(195\) | 7.58443 | + | 5.71968i | 0.543132 | + | 0.409595i | ||||
\(196\) | −32.5106 | − | 37.5193i | −2.32219 | − | 2.67995i | ||||
\(197\) | 12.8026 | + | 5.84676i | 0.912148 | + | 0.416564i | 0.815502 | − | 0.578755i | \(-0.196461\pi\) |
0.0966465 | + | 0.995319i | \(0.469188\pi\) | |||||||
\(198\) | −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 | \(0.773778\pi\) | |||||||
\(200\) | 1.31144 | + | 9.60403i | 0.0927329 | + | 0.679108i | ||||
\(201\) | −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 | ||||
\(205\) | 0.370975 | − | 0.368355i | 0.0259100 | − | 0.0257270i | ||||
\(206\) | −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 | ||||
\(210\) | 6.97445 | + | 32.6171i | 0.481283 | + | 2.25080i | ||||
\(211\) | 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 | ||||
\(220\) | −19.0138 | − | 9.69338i | −1.28191 | − | 0.653528i | ||||
\(221\) | 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 | 0.979166 | − | 0.203061i | \(-0.0650888\pi\) |
−0.0616439 | + | 0.998098i | \(0.519634\pi\) | |||||||
\(224\) | 4.99878 | + | 34.7673i | 0.333995 | + | 2.32299i | ||||
\(225\) | −1.61434 | + | 5.35719i | −0.107623 | + | 0.357146i | ||||
\(226\) | −8.08508 | + | 5.19596i | −0.537811 | + | 0.345630i | ||||
\(227\) | −0.510647 | − | 0.233205i | −0.0338928 | − | 0.0154783i | 0.398396 | − | 0.917213i | \(-0.369567\pi\) |
−0.432289 | + | 0.901735i | \(0.642294\pi\) | |||||||
\(228\) | 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 | \(0.521598\pi\) | |||||||
\(230\) | −2.87830 | + | 13.0092i | −0.189790 | + | 0.857801i | ||||
\(231\) | −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 | \(-0.711820\pi\) | ||
0.617415 | − | 0.786638i | \(-0.288180\pi\) | |||||||
\(234\) | −3.18019 | − | 6.96364i | −0.207895 | − | 0.455228i | ||||
\(235\) | 8.21989 | + | 15.1813i | 0.536207 | + | 0.990317i | ||||
\(236\) | −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 | \(0.390496\pi\) | |||||||
\(240\) | 1.59465 | − | 4.22959i | 0.102935 | − | 0.273019i | ||||
\(241\) | −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 | ||||
\(250\) | −21.7967 | + | 11.6028i | −1.37855 | + | 0.733826i | ||||
\(251\) | 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 | ||||
\(255\) | 4.01137 | − | 18.1304i | 0.251201 | − | 1.13537i | ||||
\(256\) | −2.22000 | + | 4.86112i | −0.138750 | + | 0.303820i | ||||
\(257\) | −29.0018 | − | 13.2447i | −1.80908 | − | 0.826179i | −0.948432 | − | 0.316979i | \(-0.897331\pi\) |
−0.860648 | − | 0.509200i | \(-0.829941\pi\) | |||||||
\(258\) | 4.50987 | + | 7.01750i | 0.280772 | + | 0.436890i | ||||
\(259\) | −15.7810 | − | 18.2123i | −0.980585 | − | 1.13166i | ||||
\(260\) | 7.03183 | − | 18.6509i | 0.436096 | − | 1.15668i | ||||
\(261\) | −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 | −0.827732 | − | 0.561124i | \(-0.810369\pi\) |
0.854269 | + | 0.519832i | \(0.174005\pi\) | |||||||
\(264\) | −5.00155 | − | 7.26266i | −0.307824 | − | 0.446986i | ||||
\(265\) | −13.8962 | + | 0.944386i | −0.853634 | + | 0.0580132i | ||||
\(266\) | −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 | \(0.685855\pi\) | |||||||
\(270\) | −19.7971 | + | 19.6572i | −1.20481 | + | 1.19630i | ||||
\(271\) | 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 | ||||
\(275\) | 1.95238 | − | 16.4678i | 0.117733 | − | 0.993045i | ||||
\(276\) | −6.97316 | + | 8.04746i | −0.419735 | + | 0.484400i | ||||
\(277\) | 7.98927 | + | 12.4316i | 0.480029 | + | 0.746939i | 0.993823 | − | 0.110974i | \(-0.0353970\pi\) |
−0.513794 | + | 0.857913i | \(0.671761\pi\) | |||||||
\(278\) | 8.26712 | + | 28.1552i | 0.495829 | + | 1.68864i | ||||
\(279\) | −10.1445 | − | 2.97870i | −0.607336 | − | 0.178330i | ||||
\(280\) | 18.7724 | − | 10.1643i | 1.12186 | − | 0.607433i | ||||
\(281\) | −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 | 0.109083 | − | 0.994033i | \(-0.465209\pi\) |
0.384716 | + | 0.923035i | \(0.374300\pi\) | |||||||
\(284\) | 13.2048 | − | 28.9145i | 0.783561 | − | 1.71576i | ||||
\(285\) | −1.05548 | + | 14.0573i | −0.0625214 | + | 0.832681i | ||||
\(286\) | 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 | ||||
\(290\) | −12.8485 | + | 0.873190i | −0.754492 | + | 0.0512755i | ||||
\(291\) | 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 | −0.104072 | − | 0.994570i | \(-0.533187\pi\) |
0.969635 | + | 0.244555i | \(0.0786418\pi\) | |||||||
\(294\) | 43.9591 | − | 28.2508i | 2.56374 | − | 1.64762i | ||||
\(295\) | 7.59248 | − | 4.11095i | 0.442051 | − | 0.239349i | ||||
\(296\) | −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 | ||||
\(300\) | −19.7337 | − | 0.139873i | −1.13932 | − | 0.00807556i | ||||
\(301\) | 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 | ||||
\(305\) | −7.59377 | + | 4.11164i | −0.434818 | + | 0.235432i | ||||
\(306\) | −9.79961 | + | 11.3094i | −0.560206 | + | 0.646513i | ||||
\(307\) | 3.26772 | + | 0.469827i | 0.186499 | + | 0.0268144i | 0.234931 | − | 0.972012i | \(-0.424514\pi\) |
−0.0484326 | + | 0.998826i | \(0.515423\pi\) | |||||||
\(308\) | −5.20277 | + | 46.7136i | −0.296455 | + | 2.66175i | ||||
\(309\) | −2.23061 | − | 15.5142i | −0.126895 | − | 0.882574i | ||||
\(310\) | −22.2165 | − | 41.0315i | −1.26181 | − | 2.33043i | ||||
\(311\) | −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 | 0.278369 | − | 0.960474i | \(-0.410206\pi\) |
−0.911082 | + | 0.412226i | \(0.864752\pi\) | |||||||
\(314\) | 19.4896 | + | 42.6762i | 1.09986 | + | 2.40836i | ||||
\(315\) | 12.2940 | − | 0.835500i | 0.692686 | − | 0.0470751i | ||||
\(316\) | 6.54100 | − | 45.4937i | 0.367960 | − | 2.55922i | ||||
\(317\) | −3.39370 | + | 2.94066i | −0.190609 | + | 0.165164i | −0.744937 | − | 0.667134i | \(-0.767521\pi\) |
0.554328 | + | 0.832298i | \(0.312975\pi\) | |||||||
\(318\) | −17.1624 | − | 7.83781i | −0.962421 | − | 0.439523i | ||||
\(319\) | 4.44159 | − | 7.42116i | 0.248681 | − | 0.415505i | ||||
\(320\) | −28.5523 | − | 2.14383i | −1.59612 | − | 0.119844i | ||||
\(321\) | −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 | ||||
\(325\) | 15.4874 | + | 0.109775i | 0.859086 | + | 0.00608923i | ||||
\(326\) | 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 | ||||
\(330\) | 12.9471 | − | 18.3574i | 0.712717 | − | 1.01054i | ||||
\(331\) | 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 | ||||
\(335\) | −8.81589 | − | 8.87860i | −0.481663 | − | 0.485090i | ||||
\(336\) | −9.95500 | −0.543090 | ||||||||
\(337\) | 5.85892 | − | 2.67568i | 0.319156 | − | 0.145754i | −0.249395 | − | 0.968402i | \(-0.580232\pi\) |
0.568551 | + | 0.822648i | \(0.307504\pi\) | |||||||
\(338\) | 5.68361 | − | 4.92488i | 0.309148 | − | 0.267878i | ||||
\(339\) | −2.47925 | − | 5.42879i | −0.134654 | − | 0.294852i | ||||
\(340\) | −38.8732 | + | 2.64183i | −2.10819 | + | 0.143273i | ||||
\(341\) | 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 | ||||
\(345\) | −7.74190 | − | 2.91888i | −0.416810 | − | 0.157147i | ||||
\(346\) | 6.11149 | + | 7.05304i | 0.328556 | + | 0.379174i | ||||
\(347\) | −4.54557 | − | 7.07304i | −0.244019 | − | 0.379701i | 0.697542 | − | 0.716544i | \(-0.254277\pi\) |
−0.941561 | + | 0.336843i | \(0.890641\pi\) | |||||||
\(348\) | −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 | \(0.105257\pi\) | |||||||
\(350\) | 40.8450 | + | 35.9024i | 2.18326 | + | 1.91906i | ||||
\(351\) | 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 | \(0.345568\pi\) |
−0.870571 | + | 0.492044i | \(0.836250\pi\) | |||||||
\(354\) | 11.6958 | 0.621623 | ||||||||
\(355\) | 24.6296 | + | 1.84930i | 1.30720 | + | 0.0981504i | ||||
\(356\) | −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 | ||||||||
\(365\) | −1.86240 | + | 4.93975i | −0.0974824 | + | 0.258558i | ||||
\(366\) | −11.6977 | −0.611451 | ||||||||
\(367\) | 8.76092 | + | 29.8369i | 0.457316 | + | 1.55748i | 0.789188 | + | 0.614152i | \(0.210502\pi\) |
−0.331872 | + | 0.943324i | \(0.607680\pi\) | |||||||
\(368\) | −3.61727 | − | 1.65195i | −0.188563 | − | 0.0861140i | ||||
\(369\) | −0.0372334 | − | 0.258964i | −0.00193829 | − | 0.0134811i | ||||
\(370\) | 21.2514 | − | 11.5066i | 1.10481 | − | 0.598198i | ||||
\(371\) | 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 | \(-0.661663\pi\) |
0.881523 | − | 0.472141i | \(-0.156519\pi\) | |||||||
\(374\) | 22.7771 | − | 38.0568i | 1.17778 | − | 1.96787i | ||||
\(375\) | −5.20552 | − | 14.4230i | −0.268812 | − | 0.744803i | ||||
\(376\) | 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 | \(0.530717\pi\) | |||||||
\(380\) | 28.9254 | − | 6.18506i | 1.48384 | − | 0.317287i | ||||
\(381\) | 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 | −0.145473 | − | 0.989362i | \(-0.546470\pi\) |
−0.418316 | + | 0.908301i | \(0.637380\pi\) | |||||||
\(384\) | −16.1705 | − | 10.3921i | −0.825195 | − | 0.530321i | ||||
\(385\) | −35.4525 | + | 8.77119i | −1.80683 | + | 0.447021i | ||||
\(386\) | −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 | ||||
\(395\) | 34.9232 | − | 7.46755i | 1.75718 | − | 0.375733i | ||||
\(396\) | −9.56902 | + | 4.74429i | −0.480861 | + | 0.238410i | ||||
\(397\) | 16.7525 | + | 14.5161i | 0.840782 | + | 0.728541i | 0.964587 | − | 0.263765i | \(-0.0849644\pi\) |
−0.123805 | + | 0.992307i | \(0.539510\pi\) | |||||||
\(398\) | 9.38431 | + | 14.6023i | 0.470393 | + | 0.731945i | ||||
\(399\) | 29.7883 | − | 8.74663i | 1.49128 | − | 0.437879i | ||||
\(400\) | −2.02613 | − | 7.08577i | −0.101306 | − | 0.354289i | ||||
\(401\) | 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 | ||||
\(405\) | −5.85576 | − | 7.88043i | −0.290975 | − | 0.391582i | ||||
\(406\) | 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 | \(0.746479\pi\) | |||||||
\(410\) | 0.695207 | − | 0.921859i | 0.0343338 | − | 0.0455274i | ||||
\(411\) | 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 | ||||
\(415\) | −21.0905 | + | 1.43332i | −1.03529 | + | 0.0703587i | ||||
\(416\) | 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 | \(-0.0494180\pi\) | |||||||
\(420\) | 15.0437 | + | 40.7744i | 0.734056 | + | 1.98959i | ||||
\(421\) | −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 | ||||
\(425\) | −12.3810 | − | 27.6272i | −0.600567 | − | 1.34012i | ||||
\(426\) | 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 | ||||
\(430\) | 12.7259 | + | 4.79795i | 0.613697 | + | 0.231378i | ||||
\(431\) | 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 | −0.796797 | − | 0.604247i | \(-0.793474\pi\) |
0.484701 | + | 0.874680i | \(0.338928\pi\) | |||||||
\(434\) | −67.2939 | + | 77.6613i | −3.23021 | + | 3.72786i | ||||
\(435\) | 0.598775 | − | 7.97469i | 0.0287091 | − | 0.382357i | ||||
\(436\) | 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 | \(0.108812\pi\) | |||||||
\(440\) | −13.6077 | − | 4.64066i | −0.648723 | − | 0.221235i | ||||
\(441\) | −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 | 0.624097 | − | 0.781347i | \(-0.285467\pi\) |
0.818948 | + | 0.573868i | \(0.194558\pi\) | |||||||
\(444\) | 19.3138 | 0.916593 | ||||||||
\(445\) | 4.62723 | − | 20.9139i | 0.219352 | − | 0.991415i | ||||
\(446\) | 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 | \(0.393970\pi\) | |||||||
\(450\) | −1.84527 | + | 12.2187i | −0.0869869 | + | 0.575995i | ||||
\(451\) | 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 | ||||
\(455\) | −11.8066 | − | 32.0006i | −0.553501 | − | 1.50021i | ||||
\(456\) | 11.7267 | + | 3.44326i | 0.549151 | + | 0.161245i | ||||
\(457\) | 16.4439i | 0.769215i | 0.923080 | + | 0.384607i | \(0.125663\pi\) | ||||
−0.923080 | + | 0.384607i | \(0.874337\pi\) | |||||||
\(458\) | −21.0461 | + | 9.61145i | −0.983421 | + | 0.449113i | ||||
\(459\) | −22.3997 | − | 25.8507i | −1.04553 | − | 1.20661i | ||||
\(460\) | −1.29988 | + | 17.3123i | −0.0606073 | + | 0.807188i | ||||
\(461\) | −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 | \(-0.584363\pi\) |
0.986685 | − | 0.162641i | \(-0.0520011\pi\) | |||||||
\(464\) | 0.547006 | − | 3.80451i | 0.0253941 | − | 0.176620i | ||||
\(465\) | 27.1839 | − | 10.0295i | 1.26063 | − | 0.465106i | ||||
\(466\) | −7.54821 | − | 52.4989i | −0.349664 | − | 2.43197i | ||||
\(467\) | 2.21585 | − | 1.92004i | 0.102537 | − | 0.0888490i | −0.602084 | − | 0.798433i | \(-0.705663\pi\) |
0.704621 | + | 0.709584i | \(0.251117\pi\) | |||||||
\(468\) | −5.39294 | − | 8.39158i | −0.249289 | − | 0.387901i | ||||
\(469\) | −11.4469 | + | 25.0653i | −0.528571 | + | 1.15741i | ||||
\(470\) | 22.7411 | + | 30.6040i | 1.04897 | + | 1.41166i | ||||
\(471\) | −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 | \(-0.0757923\pi\) | |||||||
\(480\) | 4.72532 | − | 21.3573i | 0.215680 | − | 0.974821i | ||||
\(481\) | −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 | \(0.297325\pi\) | ||||
−0.594563 | + | 0.804049i | \(0.702675\pi\) | |||||||
\(488\) | 2.10927 | + | 7.18351i | 0.0954821 | + | 0.325182i | ||||
\(489\) | −6.32413 | + | 13.8479i | −0.285987 | + | 0.626224i | ||||
\(490\) | 30.0554 | − | 79.7176i | 1.35776 | − | 3.60127i | ||||
\(491\) | −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 | ||||
\(495\) | −6.03214 | − | 5.69961i | −0.271124 | − | 0.256178i | ||||
\(496\) | 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 | \(0.0683255\pi\) | |||||||
\(500\) | −25.9606 | + | 19.0065i | −1.16099 | + | 0.849999i | ||||
\(501\) | 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 | 0.913428 | − | 0.406999i | \(-0.133425\pi\) |
−0.272862 | + | 0.962053i | \(0.587970\pi\) | |||||||
\(504\) | 1.52038 | − | 10.5745i | 0.0677232 | − | 0.471025i | ||||
\(505\) | −3.04956 | + | 1.65118i | −0.135704 | + | 0.0734767i | ||||
\(506\) | −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 | \(0.718299\pi\) | |||||||
\(510\) | 3.07061 | − | 40.8954i | 0.135969 | − | 1.81088i | ||||
\(511\) | 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 | ||||
\(515\) | −18.0056 | − | 18.1337i | −0.793422 | − | 0.799066i | ||||
\(516\) | 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 | ||||
\(520\) | 2.90073 | − | 13.1106i | 0.127205 | − | 0.574937i | ||||
\(521\) | 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 | \(-0.793535\pi\) |
0.343808 | − | 0.939040i | \(-0.388283\pi\) | |||||||
\(524\) | −29.1190 | −1.27207 | ||||||||
\(525\) | −25.6776 | + | 21.9330i | −1.12066 | + | 0.957236i | ||||
\(526\) | 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 | ||||
\(530\) | −30.0814 | + | 6.43224i | −1.30665 | + | 0.279399i | ||||
\(531\) | 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 | ||||
\(535\) | 6.19228 | + | 28.9592i | 0.267716 | + | 1.25201i | ||||
\(536\) | −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 | ||||
\(540\) | −21.8879 | + | 29.0239i | −0.941906 | + | 1.24899i | ||||
\(541\) | 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 | ||||
\(545\) | 18.0154 | + | 13.5861i | 0.771696 | + | 0.581963i | ||||
\(546\) | 6.57564 | − | 45.7346i | 0.281412 | − | 1.95726i | ||||
\(547\) | 16.5294 | − | 25.7203i | 0.706747 | − | 1.09972i | −0.283306 | − | 0.959030i | \(-0.591431\pi\) |
0.990054 | − | 0.140691i | \(-0.0449324\pi\) | |||||||
\(548\) | −19.2828 | − | 16.7087i | −0.823721 | − | 0.713758i | ||||
\(549\) | −0.615022 | + | 4.27757i | −0.0262485 | + | 0.182562i | ||||
\(550\) | −0.907945 | − | 36.6137i | −0.0387149 | − | 1.56121i | ||||
\(551\) | 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 | ||||
\(555\) | 5.19457 | + | 14.0794i | 0.220497 | + | 0.597636i | ||||
\(556\) | 15.8835 | + | 34.7800i | 0.673610 | + | 1.47500i | ||||
\(557\) | −13.9543 | − | 21.7133i | −0.591263 | − | 0.920024i | −0.999973 | − | 0.00735925i | \(-0.997657\pi\) |
0.408710 | − | 0.912665i | \(-0.365979\pi\) | |||||||
\(558\) | −23.1131 | − | 3.32316i | −0.978454 | − | 0.140680i | ||||
\(559\) | −5.58626 | − | 6.44689i | −0.236274 | − | 0.272674i | ||||
\(560\) | −13.0277 | + | 9.68054i | −0.550519 | + | 0.409077i | ||||
\(561\) | 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 | 0.741610 | − | 0.670831i | \(-0.234062\pi\) |
−0.0213285 | + | 0.999773i | \(0.506790\pi\) | |||||||
\(564\) | 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 | \(0.623456\pi\) | |||||||
\(570\) | 2.11099 | + | 31.0622i | 0.0884198 | + | 1.30105i | ||||
\(571\) | −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 | ||||
\(575\) | −12.9699 | + | 3.70865i | −0.540882 | + | 0.154661i | ||||
\(576\) | −9.38353 | + | 10.8292i | −0.390980 | + | 0.451215i | ||||
\(577\) | −2.49890 | + | 8.51048i | −0.104031 | + | 0.354296i | −0.995013 | − | 0.0997413i | \(-0.968198\pi\) |
0.890983 | + | 0.454037i | \(0.150017\pi\) | |||||||
\(578\) | − | 43.4249i | − | 1.80624i | ||||||
\(579\) | −11.8012 | − | 25.8410i | −0.490441 | − | 1.07392i | ||||
\(580\) | −16.4094 | + | 3.50879i | −0.681363 | + | 0.145694i | ||||
\(581\) | 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 | ||||
\(585\) | 4.66682 | − | 6.18831i | 0.192949 | − | 0.255855i | ||||
\(586\) | 28.3540 | − | 32.7223i | 1.17129 | − | 1.35175i | ||||
\(587\) | −32.8240 | + | 4.71938i | −1.35479 | + | 0.194789i | −0.781163 | − | 0.624327i | \(-0.785373\pi\) |
−0.573627 | + | 0.819116i | \(0.694464\pi\) | |||||||
\(588\) | 51.4571 | − | 44.5879i | 2.12206 | − | 1.83877i | ||||
\(589\) | −36.5360 | + | 23.4803i | −1.50544 | + | 0.967488i | ||||
\(590\) | 15.3057 | − | 11.3733i | 0.630127 | − | 0.468232i | ||||
\(591\) | −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 | \(0.123054\pi\) |
−0.575334 | + | 0.817919i | \(0.695128\pi\) | |||||||
\(594\) | −12.9178 | − | 39.3123i | −0.530025 | − | 1.61300i | ||||
\(595\) | −47.3128 | + | 46.9786i | −1.93963 | + | 1.92594i | ||||
\(596\) | 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 | \(-0.285578\pi\) | |||||||
\(600\) | −13.1718 | + | 1.79862i | −0.537736 | + | 0.0734285i | ||||
\(601\) | −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 | ||||||||
\(605\) | 20.5421 | + | 13.5286i | 0.835156 | + | 0.550014i | ||||
\(606\) | −4.69766 | −0.190830 | ||||||||
\(607\) | −40.9384 | + | 5.88605i | −1.66164 | + | 0.238907i | −0.908177 | − | 0.418586i | \(-0.862526\pi\) |
−0.753460 | + | 0.657494i | \(0.771617\pi\) | |||||||
\(608\) | 32.7863i | 1.32966i | ||||||||
\(609\) | −16.8989 | + | 4.96196i | −0.684777 | + | 0.201069i | ||||
\(610\) | −15.3083 | + | 11.3752i | −0.619815 | + | 0.460569i | ||||
\(611\) | −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 | −0.284391 | − | 0.958708i | \(-0.591791\pi\) |
0.538307 | + | 0.842749i | \(0.319064\pi\) | |||||||
\(614\) | 7.29120 | 0.294249 | ||||||||
\(615\) | 0.505194 | + | 0.508787i | 0.0203714 | + | 0.0205163i | ||||
\(616\) | 1.00929 | + | 31.6474i | 0.0406653 | + | 1.27511i | ||||
\(617\) | 0.695556 | + | 2.36884i | 0.0280020 | + | 0.0953661i | 0.972308 | − | 0.233701i | \(-0.0750838\pi\) |
−0.944306 | + | 0.329067i | \(0.893266\pi\) | |||||||
\(618\) | −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 | \(0.139843\pi\) | |||||||
\(620\) | −36.2623 | − | 48.8003i | −1.45633 | − | 1.95987i | ||||
\(621\) | −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 | ||||
\(625\) | −20.8376 | − | 13.8128i | −0.833505 | − | 0.552512i | ||||
\(626\) | −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 | ||||
\(630\) | 26.6131 | − | 5.69062i | 1.06029 | − | 0.226720i | ||||
\(631\) | −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 | ||||
\(635\) | 13.8418 | + | 13.9403i | 0.549296 | + | 0.553203i | ||||
\(636\) | −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 | ||||
\(640\) | −31.2672 | + | 2.12492i | −1.23594 | + | 0.0839950i | ||||
\(641\) | 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 | \(-0.557925\pi\) |
0.969791 | − | 0.243937i | \(-0.0784391\pi\) | |||||||
\(644\) | 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 | −0.0306326 | − | 0.999531i | \(-0.509752\pi\) |
−0.775455 | + | 0.631403i | \(0.782479\pi\) | |||||||
\(648\) | −7.74274 | + | 3.53599i | −0.304163 | + | 0.138907i | ||||
\(649\) | 0.408205 | + | 12.7998i | 0.0160234 | + | 0.502435i | ||||
\(650\) | 33.8913 | − | 4.62790i | 1.32933 | − | 0.181521i | ||||
\(651\) | −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 | 0.790704 | − | 0.612198i | \(-0.209715\pi\) |
−0.885346 | + | 0.464934i | \(0.846078\pi\) | |||||||
\(654\) | 12.6974 | + | 27.8035i | 0.496509 | + | 1.08720i | ||||
\(655\) | −7.83174 | − | 21.2272i | −0.306012 | − | 0.829414i | ||||
\(656\) | 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 | \(0.945320\pi\) | |||||||
\(660\) | 13.2943 | − | 26.0772i | 0.517481 | − | 1.01505i | ||||
\(661\) | 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 | ||||
\(665\) | 30.4771 | − | 40.4133i | 1.18185 | − | 1.56716i | ||||
\(666\) | 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 | ||||
\(670\) | −22.0630 | − | 16.6385i | −0.852367 | − | 0.642800i | ||||
\(671\) | −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 | −0.858491 | − | 0.512829i | \(-0.828598\pi\) |
0.823115 | + | 0.567874i | \(0.192234\pi\) | |||||||
\(674\) | 11.9671 | − | 7.69080i | 0.460956 | − | 0.296239i | ||||
\(675\) | −27.0447 | − | 8.14969i | −1.04095 | − | 0.313682i | ||||
\(676\) | 6.41714 | − | 7.40578i | 0.246813 | − | 0.284838i | ||||
\(677\) | 28.0601 | − | 12.8146i | 1.07844 | − | 0.492506i | 0.204661 | − | 0.978833i | \(-0.434391\pi\) |
0.873777 | + | 0.486327i | \(0.161664\pi\) | |||||||
\(678\) | −7.12619 | − | 11.0886i | −0.273680 | − | 0.425854i | ||||
\(679\) | 3.12298 | − | 21.7208i | 0.119849 | − | 0.833567i | ||||
\(680\) | −25.6673 | + | 5.48839i | −0.984296 | + | 0.210470i | ||||
\(681\) | 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 | 0.328771 | − | 0.944410i | \(-0.393366\pi\) |
0.929036 | + | 0.369988i | \(0.120638\pi\) | |||||||
\(684\) | 6.14930 | − | 13.4651i | 0.235124 | − | 0.514850i | ||||
\(685\) | 6.99403 | − | 18.5507i | 0.267228 | − | 0.708785i | ||||
\(686\) | −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 | ||||
\(690\) | −17.8419 | − | 3.94755i | −0.679231 | − | 0.150281i | ||||
\(691\) | 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 | ||||
\(695\) | −21.0819 | + | 20.9330i | −0.799683 | + | 0.794035i | ||||
\(696\) | −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 | ||||||||
\(700\) | 59.3372 | + | 38.7307i | 2.24273 | + | 1.46388i | ||||
\(701\) | 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 | ||||
\(705\) | −20.8209 | + | 11.2735i | −0.784160 | + | 0.424583i | ||||
\(706\) | −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 | \(0.591557\pi\) | |||||||
\(710\) | 54.4237 | − | 3.69864i | 2.04248 | − | 0.138808i | ||||
\(711\) | 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 | ||||
\(715\) | −10.4337 | + | 20.4660i | −0.390197 | + | 0.765383i | ||||
\(716\) | −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 | \(0.749045\pi\) | |||||||
\(720\) | −3.45103 | − | 1.30112i | −0.128612 | − | 0.0484897i | ||||
\(721\) | −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 | \(-0.937448\pi\) | ||
0.980753 | − | 0.195250i | \(-0.0625520\pi\) | |||||||
\(728\) | −29.2710 | + | 4.20854i | −1.08486 | + | 0.155979i | ||||
\(729\) | −28.1566 | −1.04284 | ||||||||
\(730\) | −2.51875 | + | 11.3841i | −0.0932230 | + | 0.421344i | ||||
\(731\) | −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 | −0.988875 | − | 0.148752i | \(-0.952474\pi\) |
0.546103 | + | 0.837718i | \(0.316111\pi\) | |||||||
\(734\) | 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 | \(0.698306\pi\) | |||||||
\(740\) | 25.2751 | − | 18.7813i | 0.929132 | − | 0.690415i | ||||
\(741\) | 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 | −0.999087 | − | 0.0427209i | \(-0.986397\pi\) |
−0.0998989 | + | 0.994998i | \(0.531852\pi\) | |||||||
\(744\) | −3.57508 | − | 24.8652i | −0.131069 | − | 0.911603i | ||||
\(745\) | 1.63251 | + | 4.42476i | 0.0598106 | + | 0.162111i | ||||
\(746\) | 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 | ||||
\(750\) | −15.9131 | − | 29.8939i | −0.581063 | − | 1.09157i | ||||
\(751\) | −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 | ||||
\(755\) | 10.6299 | + | 28.8113i | 0.386862 | + | 1.04855i | ||||
\(756\) | 76.8160 | + | 22.5552i | 2.79377 | + | 0.820325i | ||||
\(757\) | −9.71745 | + | 33.0946i | −0.353187 | + | 1.20284i | 0.571015 | + | 0.820940i | \(0.306550\pi\) |
−0.924202 | + | 0.381904i | \(0.875268\pi\) | |||||||
\(758\) | −40.2398 | + | 34.8680i | −1.46158 | + | 1.26646i | ||||
\(759\) | 9.01378 | − | 8.32808i | 0.327179 | − | 0.302290i | ||||
\(760\) | 18.6945 | − | 6.89731i | 0.678120 | − | 0.250192i | ||||
\(761\) | 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 | ||||
\(765\) | −14.7930 | − | 3.27297i | −0.534842 | − | 0.118334i | ||||
\(766\) | −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 | \(-0.323494\pi\) | |||||||
\(770\) | −74.7455 | + | 30.3178i | −2.69364 | + | 1.09258i | ||||
\(771\) | 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 | −0.747309 | − | 0.664477i | \(-0.768654\pi\) |
−0.904242 | + | 0.427020i | \(0.859563\pi\) | |||||||
\(774\) | 5.72574 | − | 3.67971i | 0.205807 | − | 0.132264i | ||||
\(775\) | 25.8214 | − | 39.5596i | 0.927534 | − | 1.42102i | ||||
\(776\) | 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 | ||||
\(780\) | 25.5795 | + | 9.64406i | 0.915892 | + | 0.345313i | ||||
\(781\) | −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 | ||||
\(785\) | −28.6003 | + | 37.9246i | −1.02079 | + | 1.35359i | ||||
\(786\) | 4.36187 | − | 30.3374i | 0.155583 | − | 1.08210i | ||||
\(787\) | 20.6997 | + | 2.97616i | 0.737863 | + | 0.106089i | 0.500992 | − | 0.865452i | \(-0.332969\pi\) |
0.236872 | + | 0.971541i | \(0.423878\pi\) | |||||||
\(788\) | 40.0910 | + | 5.76422i | 1.42818 | + | 0.205342i | ||||
\(789\) | 0.918408 | + | 0.590225i | 0.0326962 | + | 0.0210126i | ||||
\(790\) | 73.9981 | − | 27.3015i | 2.63273 | − | 0.971344i | ||||
\(791\) | −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 | ||||
\(795\) | −1.29521 | − | 19.0584i | −0.0459364 | − | 0.675931i | ||||
\(796\) | 14.8111 | + | 17.0930i | 0.524967 | + | 0.605844i | ||||
\(797\) | 33.1373 | + | 28.7136i | 1.17378 | + | 1.01709i | 0.999475 | + | 0.0323973i | \(0.0103142\pi\) |
0.174308 | + | 0.984691i | \(0.444231\pi\) | |||||||
\(798\) | 62.3706 | − | 28.4837i | 2.20790 | − | 1.00831i | ||||
\(799\) | −39.3265 | + | 25.2736i | −1.39127 | + | 0.894117i | ||||
\(800\) | −14.5846 | − | 32.5443i | −0.515644 | − | 1.15062i | ||||
\(801\) | −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 | ||||
\(805\) | 17.7194 | + | 23.8460i | 0.624526 | + | 0.840461i | ||||
\(806\) | 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 | \(0.916274\pi\) | |||||||
\(810\) | −15.2781 | − | 15.3868i | −0.536818 | − | 0.540637i | ||||
\(811\) | 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 | ||||
\(815\) | 5.19001 | + | 24.2719i | 0.181798 | + | 0.850208i | ||||
\(816\) | 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 | −0.745070 | − | 0.666987i | \(-0.767584\pi\) |
0.0161580 | + | 0.999869i | \(0.494857\pi\) | |||||||
\(824\) | −18.6382 | + | 11.9781i | −0.649293 | + | 0.417276i | ||||
\(825\) | 22.5853 | + | 2.67766i | 0.786321 | + | 0.0932243i | ||||
\(826\) | −35.3289 | − | 22.7045i | −1.22925 | − | 0.789992i | ||||
\(827\) | 19.2421 | + | 2.76659i | 0.669112 | + | 0.0962038i | 0.468495 | − | 0.883466i | \(-0.344796\pi\) |
0.200617 | + | 0.979670i | \(0.435705\pi\) | |||||||
\(828\) | 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 | \(-0.153432\pi\) | |||||||
\(830\) | −45.6552 | + | 9.76236i | −1.58472 | + | 0.338857i | ||||
\(831\) | −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 | ||||
\(835\) | 15.0135 | + | 3.32176i | 0.519565 | + | 0.114954i | ||||
\(836\) | −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 | \(0.896421\pi\) | |||||||
\(840\) | 13.9402 | + | 25.7461i | 0.480982 | + | 0.888324i | ||||
\(841\) | 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 | ||||||||
\(845\) | 7.12459 | + | 2.68613i | 0.245093 | + | 0.0924058i | ||||
\(846\) | 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 | −0.588875 | − | 0.808224i | \(-0.700429\pi\) |
−0.337319 | + | 0.941391i | \(0.609520\pi\) | |||||||
\(854\) | 35.3349 | + | 22.7084i | 1.20914 | + | 0.777065i | ||||
\(855\) | 11.4697 | + | 0.861193i | 0.392254 | + | 0.0294522i | ||||
\(856\) | 25.6747 | 0.877542 | ||||||||
\(857\) | 4.39332 | − | 14.9623i | 0.150073 | − | 0.511102i | −0.849799 | − | 0.527107i | \(-0.823277\pi\) |
0.999872 | + | 0.0160051i | \(0.00509481\pi\) | |||||||
\(858\) | −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 | \(0.529683\pi\) | |||||||
\(860\) | 17.3028 | + | 3.82827i | 0.590022 | + | 0.130543i | ||||
\(861\) | 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 | 0.787444 | − | 0.616386i | \(-0.211404\pi\) |
−0.887801 | + | 0.460228i | \(0.847767\pi\) | |||||||
\(864\) | −26.3865 | − | 30.4517i | −0.897688 | − | 1.03599i | ||||
\(865\) | −3.33334 | + | 8.84121i | −0.113337 | + | 0.300610i | ||||
\(866\) | −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 | ||||
\(870\) | −1.19757 | − | 17.6216i | −0.0406013 | − | 0.597428i | ||||
\(871\) | 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 | ||||||||
\(875\) | −12.2748 | + | 53.6724i | −0.414963 | + | 1.81446i | ||||
\(876\) | −6.10208 | + | 7.04218i | −0.206170 | + | 0.237933i | ||||
\(877\) | 2.13037 | − | 7.25537i | 0.0719374 | − | 0.244996i | −0.915672 | − | 0.401925i | \(-0.868341\pi\) |
0.987610 | + | 0.156929i | \(0.0501593\pi\) | |||||||
\(878\) | 2.25407 | − | 7.67665i | 0.0760711 | − | 0.259074i | ||||
\(879\) | 17.6074 | + | 20.3200i | 0.593882 | + | 0.685377i | ||||
\(880\) | 10.7429 | + | 2.02001i | 0.362142 | + | 0.0680945i | ||||
\(881\) | 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 | 0.902980 | − | 0.429683i | \(-0.141375\pi\) |
−0.991939 | + | 0.126715i | \(0.959557\pi\) | |||||||
\(884\) | 51.7877 | + | 15.2062i | 1.74181 | + | 0.511441i | ||||
\(885\) | 5.63810 | + | 10.4130i | 0.189523 | + | 0.350029i | ||||
\(886\) | 65.0246 | − | 19.0929i | 2.18454 | − | 0.641440i | ||||
\(887\) | − | 30.1557i | − | 1.01253i | −0.862378 | − | 0.506264i | \(-0.831026\pi\) | ||
0.862378 | − | 0.506264i | \(-0.168974\pi\) | |||||||
\(888\) | 12.8784 | − | 1.85164i | 0.432172 | − | 0.0621369i | ||||
\(889\) | 17.9728 | − | 39.3550i | 0.602789 | − | 1.31992i | ||||
\(890\) | 3.54204 | − | 47.1741i | 0.118729 | − | 1.58128i | ||||
\(891\) | 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 | ||||
\(895\) | −1.49206 | − | 21.9549i | −0.0498740 | − | 0.733871i | ||||
\(896\) | 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 | ||||
\(900\) | −0.114126 | + | 16.1012i | −0.00380418 | + | 0.536705i | ||||
\(901\) | −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 | ||||
\(905\) | 12.6684 | − | 6.85930i | 0.421112 | − | 0.228011i | ||||
\(906\) | −5.92030 | + | 41.1766i | −0.196689 | + | 1.36800i | ||||
\(907\) | −18.8851 | − | 2.71527i | −0.627069 | − | 0.0901590i | −0.178548 | − | 0.983931i | \(-0.557140\pi\) |
−0.448521 | + | 0.893772i | \(0.648049\pi\) | |||||||
\(908\) | −1.59908 | − | 0.229913i | −0.0530672 | − | 0.00762991i | ||||
\(909\) | −0.246985 | + | 1.71782i | −0.00819197 | + | 0.0569764i | ||||
\(910\) | −35.8684 | − | 66.2452i | −1.18903 | − | 2.19601i | ||||
\(911\) | 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 | ||||
\(915\) | −5.63906 | − | 10.4147i | −0.186421 | − | 0.344301i | ||||
\(916\) | −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 | \(0.723805\pi\) | |||||||
\(920\) | 0.792988 | + | 11.6684i | 0.0261441 | + | 0.384696i | ||||
\(921\) | −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 | ||||
\(925\) | 20.4891 | + | 13.3737i | 0.673677 | + | 0.439724i | ||||
\(926\) | 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 | \(0.347055\pi\) | |||||||
\(930\) | 56.2741 | − | 30.4696i | 1.84530 | − | 0.999138i | ||||
\(931\) | −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 | ||||
\(935\) | 44.8628 | + | 1.93312i | 1.46717 | + | 0.0632199i | ||||
\(936\) | −4.40052 | − | 5.07847i | −0.143836 | − | 0.165995i | ||||
\(937\) | −5.73544 | + | 19.5331i | −0.187369 | + | 0.638119i | 0.811207 | + | 0.584759i | \(0.198811\pi\) |
−0.998575 | + | 0.0533595i | \(0.983007\pi\) | |||||||
\(938\) | −17.1457 | + | 58.3929i | −0.559827 | + | 1.90660i | ||||
\(939\) | 13.3027 | − | 15.3522i | 0.434118 | − | 0.500999i | ||||
\(940\) | 35.0052 | + | 35.2542i | 1.14175 | + | 1.14987i | ||||
\(941\) | −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 | ||||
\(945\) | 4.21785 | + | 62.0636i | 0.137207 | + | 2.01893i | ||||
\(946\) | −14.8166 | + | 13.6894i | −0.481728 | + | 0.445082i | ||||
\(947\) | 19.2620 | − | 29.9722i | 0.625930 | − | 0.973967i | −0.373005 | − | 0.927829i | \(-0.621672\pi\) |
0.998935 | − | 0.0461374i | \(-0.0146912\pi\) | |||||||
\(948\) | 62.3939 | + | 8.97089i | 2.02646 | + | 0.291361i | ||||
\(949\) | 4.78904 | − | 5.52685i | 0.155459 | − | 0.179409i | ||||
\(950\) | 32.9684 | + | 38.5969i | 1.06964 | + | 1.25225i | ||||
\(951\) | −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 | 0.495230 | − | 0.868762i | \(-0.335084\pi\) |
−0.332260 | + | 0.943188i | \(0.607811\pi\) | |||||||
\(954\) | −6.39505 | + | 14.0032i | −0.207048 | + | 0.453371i | ||||
\(955\) | 1.82881 | − | 8.26576i | 0.0591789 | − | 0.267474i | ||||
\(956\) | 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 | ||||||||
\(960\) | 2.94023 | − | 39.1590i | 0.0948956 | − | 1.26385i | ||||
\(961\) | 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 | \(-0.852246\pi\) | ||
0.894188 | − | 0.447692i | \(-0.147754\pi\) | |||||||
\(968\) | 15.1938 | − | 14.9634i | 0.488346 | − | 0.480942i | ||||
\(969\) | −38.1720 | −1.22626 | ||||||||
\(970\) | 20.5915 | + | 7.76346i | 0.661152 | + | 0.249270i | ||||
\(971\) | 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 | ||||
\(975\) | −0.150555 | + | 21.2407i | −0.00482162 | + | 0.680248i | ||||
\(976\) | −2.36464 | − | 5.17784i | −0.0756903 | − | 0.165739i | ||||
\(977\) | 0.427116i | 0.0136647i | 0.999977 | + | 0.00683233i | \(0.00217482\pi\) | ||||
−0.999977 | + | 0.00683233i | \(0.997825\pi\) | |||||||
\(978\) | −9.47254 | + | 32.2605i | −0.302898 | + | 1.03158i | ||||
\(979\) | 24.6616 | + | 20.0294i | 0.788187 | + | 0.640141i | ||||
\(980\) | 23.9811 | − | 108.389i | 0.766048 | − | 3.46235i | ||||
\(981\) | 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 | 0.898143 | − | 0.439703i | \(-0.144916\pi\) |
0.255853 | + | 0.966716i | \(0.417644\pi\) | |||||||
\(984\) | 0.522944 | − | 0.336076i | 0.0166708 | − | 0.0107137i | ||||
\(985\) | 6.58073 | + | 30.7758i | 0.209679 | + | 0.980599i | ||||
\(986\) | −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 | ||||
\(990\) | −14.9782 | − | 10.5639i | −0.476040 | − | 0.335742i | ||||
\(991\) | −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 | 0.729267 | − | 0.684229i | \(-0.239861\pi\) |
−0.573479 | + | 0.819220i | \(0.694407\pi\) | |||||||
\(998\) | 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.34.55 | yes | 640 | |
5.4 | even | 2 | inner | 605.2.o.a.34.10 | ✓ | 640 | |
121.89 | even | 11 | inner | 605.2.o.a.89.10 | yes | 640 | |
605.89 | even | 22 | inner | 605.2.o.a.89.55 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.o.a.34.10 | ✓ | 640 | 5.4 | even | 2 | inner | |
605.2.o.a.34.55 | yes | 640 | 1.1 | even | 1 | trivial | |
605.2.o.a.89.10 | yes | 640 | 121.89 | even | 11 | inner | |
605.2.o.a.89.55 | yes | 640 | 605.89 | even | 22 | inner |