Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.9 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.9 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.830242 | − | 0.922077i | −0.587069 | − | 0.652007i | 0.374287 | − | 0.927313i | \(-0.377887\pi\) |
−0.961357 | + | 0.275306i | \(0.911221\pi\) | |||||||
\(3\) | −0.464723 | − | 1.66854i | −0.268308 | − | 0.963333i | ||||
\(4\) | 0.0481326 | − | 0.457951i | 0.0240663 | − | 0.228975i | ||||
\(5\) | −0.859357 | + | 4.04296i | −0.384316 | + | 1.80806i | 0.181337 | + | 0.983421i | \(0.441958\pi\) |
−0.565653 | + | 0.824644i | \(0.691376\pi\) | |||||||
\(6\) | −1.15269 | + | 1.81380i | −0.470585 | + | 0.740482i | ||||
\(7\) | −0.152025 | + | 2.64138i | −0.0574600 | + | 0.998348i | ||||
\(8\) | −2.46985 | + | 1.79445i | −0.873223 | + | 0.634433i | ||||
\(9\) | −2.56807 | + | 1.55082i | −0.856022 | + | 0.516939i | ||||
\(10\) | 4.44139 | − | 2.56424i | 1.40449 | − | 0.810883i | ||||
\(11\) | −3.26039 | + | 0.608160i | −0.983044 | + | 0.183367i | ||||
\(12\) | −0.786479 | + | 0.132509i | −0.227037 | + | 0.0382520i | ||||
\(13\) | −1.08183 | − | 0.351507i | −0.300045 | − | 0.0974905i | 0.155126 | − | 0.987895i | \(-0.450422\pi\) |
−0.455171 | + | 0.890404i | \(0.650422\pi\) | |||||||
\(14\) | 2.56177 | − | 2.05281i | 0.684662 | − | 0.548635i | ||||
\(15\) | 7.14520 | − | 0.444980i | 1.84488 | − | 0.114893i | ||||
\(16\) | 2.80437 | + | 0.596086i | 0.701092 | + | 0.149022i | ||||
\(17\) | 0.724602 | − | 0.804752i | 0.175742 | − | 0.195181i | −0.648838 | − | 0.760926i | \(-0.724745\pi\) |
0.824580 | + | 0.565745i | \(0.191411\pi\) | |||||||
\(18\) | 3.56209 | + | 1.08040i | 0.839592 | + | 0.254653i | ||||
\(19\) | −1.51398 | + | 0.159125i | −0.347330 | + | 0.0365059i | −0.276588 | − | 0.960989i | \(-0.589204\pi\) |
−0.0707426 | + | 0.997495i | \(0.522537\pi\) | |||||||
\(20\) | 1.81011 | + | 0.588141i | 0.404753 | + | 0.131512i | ||||
\(21\) | 4.47790 | − | 0.973849i | 0.977159 | − | 0.212511i | ||||
\(22\) | 3.26768 | + | 2.50141i | 0.696672 | + | 0.533302i | ||||
\(23\) | 1.17103 | + | 0.676097i | 0.244178 | + | 0.140976i | 0.617095 | − | 0.786888i | \(-0.288309\pi\) |
−0.372918 | + | 0.927864i | \(0.621643\pi\) | |||||||
\(24\) | 4.14191 | + | 3.28712i | 0.845463 | + | 0.670981i | ||||
\(25\) | −11.0393 | − | 4.91500i | −2.20785 | − | 0.983000i | ||||
\(26\) | 0.574062 | + | 1.28936i | 0.112583 | + | 0.252865i | ||||
\(27\) | 3.78104 | + | 3.56423i | 0.727662 | + | 0.685936i | ||||
\(28\) | 1.20230 | + | 0.196756i | 0.227214 | + | 0.0371834i | ||||
\(29\) | −5.37729 | − | 3.90683i | −0.998537 | − | 0.725480i | −0.0367633 | − | 0.999324i | \(-0.511705\pi\) |
−0.961774 | + | 0.273844i | \(0.911705\pi\) | |||||||
\(30\) | −6.34255 | − | 6.21899i | −1.15799 | − | 1.13543i | ||||
\(31\) | 4.72526 | − | 1.00438i | 0.848681 | − | 0.180393i | 0.237012 | − | 0.971507i | \(-0.423832\pi\) |
0.611669 | + | 0.791114i | \(0.290498\pi\) | |||||||
\(32\) | 1.27423 | + | 2.20704i | 0.225255 | + | 0.390153i | ||||
\(33\) | 2.52992 | + | 5.15747i | 0.440402 | + | 0.897801i | ||||
\(34\) | −1.34364 | −0.230432 | ||||||||
\(35\) | −10.5483 | − | 2.88452i | −1.78299 | − | 0.487572i | ||||
\(36\) | 0.586591 | + | 1.25069i | 0.0977651 | + | 0.208449i | ||||
\(37\) | −3.02058 | + | 1.34485i | −0.496580 | + | 0.221092i | −0.639716 | − | 0.768611i | \(-0.720948\pi\) |
0.143136 | + | 0.989703i | \(0.454281\pi\) | |||||||
\(38\) | 1.40369 | + | 1.26389i | 0.227709 | + | 0.205030i | ||||
\(39\) | −0.0837548 | + | 1.96843i | −0.0134115 | + | 0.315201i | ||||
\(40\) | −5.13240 | − | 11.5275i | −0.811503 | − | 1.82267i | ||||
\(41\) | −3.69146 | + | 2.68200i | −0.576510 | + | 0.418859i | −0.837464 | − | 0.546492i | \(-0.815963\pi\) |
0.260954 | + | 0.965351i | \(0.415963\pi\) | |||||||
\(42\) | −4.61571 | − | 3.32044i | −0.712219 | − | 0.512355i | ||||
\(43\) | 8.06763i | 1.23030i | 0.788410 | + | 0.615151i | \(0.210905\pi\) | ||||
−0.788410 | + | 0.615151i | \(0.789095\pi\) | |||||||
\(44\) | 0.121577 | + | 1.52237i | 0.0183284 | + | 0.229506i | ||||
\(45\) | −4.06300 | − | 11.7153i | −0.605677 | − | 1.74641i | ||||
\(46\) | −0.348828 | − | 1.64111i | −0.0514319 | − | 0.241968i | ||||
\(47\) | 10.9787 | − | 1.15391i | 1.60140 | − | 0.168314i | 0.738704 | − | 0.674030i | \(-0.235438\pi\) |
0.862700 | + | 0.505715i | \(0.168771\pi\) | |||||||
\(48\) | −0.308657 | − | 4.95622i | −0.0445508 | − | 0.715369i | ||||
\(49\) | −6.95378 | − | 0.803111i | −0.993397 | − | 0.114730i | ||||
\(50\) | 4.63325 | + | 14.2597i | 0.655241 | + | 2.01662i | ||||
\(51\) | −1.67950 | − | 0.835043i | −0.235177 | − | 0.116929i | ||||
\(52\) | −0.213044 | + | 0.478505i | −0.0295439 | + | 0.0663567i | ||||
\(53\) | −0.815733 | − | 3.83772i | −0.112050 | − | 0.527151i | −0.997991 | − | 0.0633546i | \(-0.979820\pi\) |
0.885942 | − | 0.463797i | \(-0.153513\pi\) | |||||||
\(54\) | 0.147310 | − | 6.44558i | 0.0200464 | − | 0.877133i | ||||
\(55\) | 0.343073 | − | 13.7042i | 0.0462599 | − | 1.84788i | ||||
\(56\) | −4.36434 | − | 6.79660i | −0.583210 | − | 0.908234i | ||||
\(57\) | 0.969087 | + | 2.45219i | 0.128359 | + | 0.324800i | ||||
\(58\) | 0.862053 | + | 8.20188i | 0.113193 | + | 1.07696i | ||||
\(59\) | 2.50803 | + | 0.263605i | 0.326518 | + | 0.0343184i | 0.266369 | − | 0.963871i | \(-0.414176\pi\) |
0.0601484 | + | 0.998189i | \(0.480843\pi\) | |||||||
\(60\) | 0.140138 | − | 3.29357i | 0.0180918 | − | 0.425198i | ||||
\(61\) | −1.24665 | + | 5.86504i | −0.159617 | + | 0.750941i | 0.823405 | + | 0.567455i | \(0.192072\pi\) |
−0.983022 | + | 0.183487i | \(0.941262\pi\) | |||||||
\(62\) | −4.84923 | − | 3.52317i | −0.615852 | − | 0.447443i | ||||
\(63\) | −3.70589 | − | 7.01900i | −0.466898 | − | 0.884311i | ||||
\(64\) | 2.74905 | − | 8.46071i | 0.343631 | − | 1.05759i | ||||
\(65\) | 2.35080 | − | 4.07171i | 0.291581 | − | 0.505034i | ||||
\(66\) | 2.65514 | − | 6.61473i | 0.326825 | − | 0.814216i | ||||
\(67\) | 5.62222 | + | 9.73797i | 0.686864 | + | 1.18968i | 0.972847 | + | 0.231448i | \(0.0743464\pi\) |
−0.285984 | + | 0.958235i | \(0.592320\pi\) | |||||||
\(68\) | −0.333660 | − | 0.370567i | −0.0404622 | − | 0.0449378i | ||||
\(69\) | 0.583891 | − | 2.26812i | 0.0702922 | − | 0.273049i | ||||
\(70\) | 6.09792 | + | 12.1212i | 0.728841 | + | 1.44876i | ||||
\(71\) | −1.74957 | + | 0.568471i | −0.207636 | + | 0.0674651i | −0.410988 | − | 0.911641i | \(-0.634816\pi\) |
0.203352 | + | 0.979106i | \(0.434816\pi\) | |||||||
\(72\) | 3.55986 | − | 8.43854i | 0.419534 | − | 0.994492i | ||||
\(73\) | 0.873788 | + | 0.0918389i | 0.102269 | + | 0.0107489i | 0.155525 | − | 0.987832i | \(-0.450293\pi\) |
−0.0532556 | + | 0.998581i | \(0.516960\pi\) | |||||||
\(74\) | 3.74786 | + | 1.66866i | 0.435680 | + | 0.193977i | ||||
\(75\) | −3.07069 | + | 20.7036i | −0.354572 | + | 2.39065i | ||||
\(76\) | 0.700986i | 0.0804086i | ||||||||
\(77\) | −1.11072 | − | 8.70438i | −0.126579 | − | 0.991957i | ||||
\(78\) | 1.88458 | − | 1.55704i | 0.213386 | − | 0.176300i | ||||
\(79\) | −8.24724 | + | 7.42585i | −0.927887 | + | 0.835473i | −0.986659 | − | 0.162798i | \(-0.947948\pi\) |
0.0587725 | + | 0.998271i | \(0.481281\pi\) | |||||||
\(80\) | −4.81990 | + | 10.8257i | −0.538881 | + | 1.21035i | ||||
\(81\) | 4.18993 | − | 7.96521i | 0.465547 | − | 0.885023i | ||||
\(82\) | 5.53782 | + | 1.17710i | 0.611550 | + | 0.129989i | ||||
\(83\) | −2.66212 | − | 8.19316i | −0.292206 | − | 0.899317i | −0.984146 | − | 0.177362i | \(-0.943244\pi\) |
0.691940 | − | 0.721955i | \(-0.256756\pi\) | |||||||
\(84\) | −0.230442 | − | 2.09753i | −0.0251433 | − | 0.228860i | ||||
\(85\) | 2.63089 | + | 3.62110i | 0.285360 | + | 0.392764i | ||||
\(86\) | 7.43897 | − | 6.69808i | 0.802165 | − | 0.722272i | ||||
\(87\) | −4.01976 | + | 10.7878i | −0.430964 | + | 1.15658i | ||||
\(88\) | 6.96135 | − | 7.35266i | 0.742082 | − | 0.783797i | ||||
\(89\) | 0.214205 | + | 0.123671i | 0.0227057 | + | 0.0131091i | 0.511310 | − | 0.859396i | \(-0.329160\pi\) |
−0.488604 | + | 0.872506i | \(0.662494\pi\) | |||||||
\(90\) | −7.42911 | + | 13.4729i | −0.783097 | + | 1.42017i | ||||
\(91\) | 1.09293 | − | 2.80408i | 0.114570 | − | 0.293947i | ||||
\(92\) | 0.365984 | − | 0.503734i | 0.0381565 | − | 0.0525179i | ||||
\(93\) | −3.87179 | − | 7.41753i | −0.401486 | − | 0.769162i | ||||
\(94\) | −10.1789 | − | 9.16516i | −1.04988 | − | 0.945314i | ||||
\(95\) | 0.657709 | − | 6.25769i | 0.0674796 | − | 0.642025i | ||||
\(96\) | 3.09037 | − | 3.15177i | 0.315410 | − | 0.321676i | ||||
\(97\) | −3.43868 | + | 10.5832i | −0.349145 | + | 1.07456i | 0.610183 | + | 0.792261i | \(0.291096\pi\) |
−0.959327 | + | 0.282296i | \(0.908904\pi\) | |||||||
\(98\) | 5.03279 | + | 7.07869i | 0.508388 | + | 0.715056i | ||||
\(99\) | 7.42975 | − | 6.61807i | 0.746718 | − | 0.665141i | ||||
\(100\) | −2.78218 | + | 4.81887i | −0.278218 | + | 0.481887i | ||||
\(101\) | −11.3949 | + | 2.42205i | −1.13383 | + | 0.241003i | −0.736346 | − | 0.676605i | \(-0.763450\pi\) |
−0.397486 | + | 0.917608i | \(0.630117\pi\) | |||||||
\(102\) | 0.624419 | + | 2.24192i | 0.0618267 | + | 0.221983i | ||||
\(103\) | 14.9459 | − | 6.65434i | 1.47266 | − | 0.655671i | 0.495585 | − | 0.868559i | \(-0.334954\pi\) |
0.977077 | + | 0.212888i | \(0.0682871\pi\) | |||||||
\(104\) | 3.30271 | − | 1.07312i | 0.323857 | − | 0.105228i | ||||
\(105\) | 0.0891117 | + | 18.9408i | 0.00869641 | + | 1.84844i | ||||
\(106\) | −2.86142 | + | 3.93840i | −0.277925 | + | 0.382532i | ||||
\(107\) | 1.64338 | + | 15.6357i | 0.158871 | + | 1.51156i | 0.725865 | + | 0.687837i | \(0.241440\pi\) |
−0.566994 | + | 0.823722i | \(0.691894\pi\) | |||||||
\(108\) | 1.81423 | − | 1.55998i | 0.174575 | − | 0.150109i | ||||
\(109\) | −2.84264 | + | 1.64120i | −0.272275 | + | 0.157198i | −0.629921 | − | 0.776659i | \(-0.716913\pi\) |
0.357646 | + | 0.933857i | \(0.383580\pi\) | |||||||
\(110\) | −12.9212 | + | 11.0615i | −1.23199 | + | 1.05467i | ||||
\(111\) | 3.64767 | + | 4.41498i | 0.346221 | + | 0.419051i | ||||
\(112\) | −2.00082 | + | 7.31678i | −0.189060 | + | 0.691370i | ||||
\(113\) | 4.41665 | + | 6.07900i | 0.415484 | + | 0.571864i | 0.964545 | − | 0.263918i | \(-0.0850148\pi\) |
−0.549062 | + | 0.835782i | \(0.685015\pi\) | |||||||
\(114\) | 1.45653 | − | 2.92948i | 0.136416 | − | 0.274371i | ||||
\(115\) | −3.73977 | + | 4.15343i | −0.348735 | + | 0.387310i | ||||
\(116\) | −2.04796 | + | 2.27449i | −0.190148 | + | 0.211181i | ||||
\(117\) | 3.32333 | − | 0.775024i | 0.307242 | − | 0.0716510i | ||||
\(118\) | −1.83921 | − | 2.53145i | −0.169313 | − | 0.233039i | ||||
\(119\) | 2.01550 | + | 2.03629i | 0.184760 | + | 0.186667i | ||||
\(120\) | −16.8491 | + | 13.9207i | −1.53810 | + | 1.27078i | ||||
\(121\) | 10.2603 | − | 3.96568i | 0.932753 | − | 0.360516i | ||||
\(122\) | 6.44304 | − | 3.71989i | 0.583325 | − | 0.336783i | ||||
\(123\) | 6.19054 | + | 4.91297i | 0.558182 | + | 0.442988i | ||||
\(124\) | −0.232520 | − | 2.21228i | −0.0208809 | − | 0.198669i | ||||
\(125\) | 17.2104 | − | 23.6881i | 1.53934 | − | 2.11873i | ||||
\(126\) | −3.39527 | + | 9.24458i | −0.302475 | + | 0.823573i | ||||
\(127\) | −4.20635 | + | 1.36673i | −0.373253 | + | 0.121277i | −0.489636 | − | 0.871927i | \(-0.662870\pi\) |
0.116382 | + | 0.993204i | \(0.462870\pi\) | |||||||
\(128\) | −5.42752 | + | 2.41649i | −0.479729 | + | 0.213589i | ||||
\(129\) | 13.4612 | − | 3.74921i | 1.18519 | − | 0.330099i | ||||
\(130\) | −5.70616 | + | 1.21288i | −0.500464 | + | 0.106377i | ||||
\(131\) | 6.15313 | − | 10.6575i | 0.537601 | − | 0.931153i | −0.461431 | − | 0.887176i | \(-0.652664\pi\) |
0.999033 | − | 0.0439770i | \(-0.0140028\pi\) | |||||||
\(132\) | 2.48364 | − | 0.910335i | 0.216173 | − | 0.0792345i | ||||
\(133\) | −0.190149 | − | 4.02318i | −0.0164880 | − | 0.348854i | ||||
\(134\) | 4.31136 | − | 13.2690i | 0.372444 | − | 1.14627i | ||||
\(135\) | −17.6593 | + | 12.2236i | −1.51987 | + | 1.05204i | ||||
\(136\) | −0.345570 | + | 3.28788i | −0.0296324 | + | 0.281933i | ||||
\(137\) | 0.219181 | + | 0.197351i | 0.0187259 | + | 0.0168608i | 0.678440 | − | 0.734655i | \(-0.262656\pi\) |
−0.659715 | + | 0.751516i | \(0.729323\pi\) | |||||||
\(138\) | −2.57615 | + | 1.34469i | −0.219296 | + | 0.114468i | ||||
\(139\) | 1.38766 | − | 1.90995i | 0.117700 | − | 0.162000i | −0.746102 | − | 0.665832i | \(-0.768077\pi\) |
0.863802 | + | 0.503832i | \(0.168077\pi\) | |||||||
\(140\) | −1.82869 | + | 4.69178i | −0.154552 | + | 0.396528i | ||||
\(141\) | −7.02738 | − | 17.7821i | −0.591812 | − | 1.49753i | ||||
\(142\) | 1.97674 | + | 1.14127i | 0.165884 | + | 0.0957735i | ||||
\(143\) | 3.74095 | + | 0.488125i | 0.312834 | + | 0.0408191i | ||||
\(144\) | −8.12622 | + | 2.81827i | −0.677185 | + | 0.234856i | ||||
\(145\) | 20.4161 | − | 18.3828i | 1.69547 | − | 1.52661i | ||||
\(146\) | −0.640773 | − | 0.881948i | −0.0530308 | − | 0.0729906i | ||||
\(147\) | 1.89155 | + | 11.9759i | 0.156013 | + | 0.987755i | ||||
\(148\) | 0.470486 | + | 1.44801i | 0.0386737 | + | 0.119025i | ||||
\(149\) | 0.0879666 | + | 0.0186979i | 0.00720651 | + | 0.00153179i | 0.211514 | − | 0.977375i | \(-0.432161\pi\) |
−0.204307 | + | 0.978907i | \(0.565494\pi\) | |||||||
\(150\) | 21.6397 | − | 14.3576i | 1.76688 | − | 1.17229i | ||||
\(151\) | 4.37028 | − | 9.81582i | 0.355649 | − | 0.798800i | −0.643787 | − | 0.765205i | \(-0.722638\pi\) |
0.999436 | − | 0.0335950i | \(-0.0106956\pi\) | |||||||
\(152\) | 3.45375 | − | 3.10977i | 0.280136 | − | 0.252236i | ||||
\(153\) | −0.612802 | + | 3.19038i | −0.0495421 | + | 0.257927i | ||||
\(154\) | −7.10394 | + | 8.25091i | −0.572452 | + | 0.664878i | ||||
\(155\) | 19.9671i | 1.60380i | ||||||||
\(156\) | 0.897412 | + | 0.133101i | 0.0718505 | + | 0.0106566i | ||||
\(157\) | 14.3538 | + | 6.39070i | 1.14555 | + | 0.510034i | 0.889639 | − | 0.456665i | \(-0.150956\pi\) |
0.255916 | + | 0.966699i | \(0.417623\pi\) | |||||||
\(158\) | 13.6944 | + | 1.43934i | 1.08947 | + | 0.114508i | ||||
\(159\) | −6.02431 | + | 3.14456i | −0.477759 | + | 0.249380i | ||||
\(160\) | −10.0180 | + | 3.25504i | −0.791990 | + | 0.257333i | ||||
\(161\) | −1.96386 | + | 2.99036i | −0.154774 | + | 0.235674i | ||||
\(162\) | −10.8232 | + | 2.74961i | −0.850350 | + | 0.216030i | ||||
\(163\) | −11.9326 | − | 13.2525i | −0.934631 | − | 1.03801i | −0.999196 | − | 0.0400994i | \(-0.987233\pi\) |
0.0645646 | − | 0.997914i | \(-0.479434\pi\) | |||||||
\(164\) | 1.05055 | + | 1.81960i | 0.0820339 | + | 0.142087i | ||||
\(165\) | −23.0255 | + | 5.79624i | −1.79254 | + | 0.451236i | ||||
\(166\) | −5.34452 | + | 9.25699i | −0.414815 | + | 0.718481i | ||||
\(167\) | −5.23262 | + | 16.1043i | −0.404912 | + | 1.24619i | 0.516057 | + | 0.856554i | \(0.327399\pi\) |
−0.920969 | + | 0.389637i | \(0.872601\pi\) | |||||||
\(168\) | −9.31221 | + | 10.4406i | −0.718453 | + | 0.805512i | ||||
\(169\) | −9.47043 | − | 6.88067i | −0.728494 | − | 0.529282i | ||||
\(170\) | 1.15466 | − | 5.43227i | 0.0885587 | − | 0.416636i | ||||
\(171\) | 3.64122 | − | 2.75655i | 0.278451 | − | 0.210798i | ||||
\(172\) | 3.69458 | + | 0.388316i | 0.281709 | + | 0.0296088i | ||||
\(173\) | −0.0911348 | − | 0.867090i | −0.00692885 | − | 0.0659236i | 0.990511 | − | 0.137433i | \(-0.0438851\pi\) |
−0.997440 | + | 0.0715092i | \(0.977218\pi\) | |||||||
\(174\) | 13.2846 | − | 5.24997i | 1.00710 | − | 0.397999i | ||||
\(175\) | 14.6606 | − | 28.4117i | 1.10824 | − | 2.14772i | ||||
\(176\) | −9.50584 | − | 0.237970i | −0.716530 | − | 0.0179376i | ||||
\(177\) | −0.725703 | − | 4.30726i | −0.0545472 | − | 0.323753i | ||||
\(178\) | −0.0638074 | − | 0.300190i | −0.00478256 | − | 0.0225002i | ||||
\(179\) | −2.36645 | + | 5.31513i | −0.176877 | + | 0.397271i | −0.980127 | − | 0.198370i | \(-0.936435\pi\) |
0.803251 | + | 0.595641i | \(0.203102\pi\) | |||||||
\(180\) | −5.56059 | + | 1.29677i | −0.414462 | + | 0.0966555i | ||||
\(181\) | 1.35280 | + | 4.16348i | 0.100553 | + | 0.309469i | 0.988661 | − | 0.150165i | \(-0.0479805\pi\) |
−0.888108 | + | 0.459634i | \(0.847981\pi\) | |||||||
\(182\) | −3.49297 | + | 1.32030i | −0.258916 | + | 0.0978671i | ||||
\(183\) | 10.3654 | − | 0.645523i | 0.766233 | − | 0.0477185i | ||||
\(184\) | −4.10550 | + | 0.431505i | −0.302661 | + | 0.0318110i | ||||
\(185\) | −2.84141 | − | 13.3678i | −0.208904 | − | 0.982818i | ||||
\(186\) | −3.62501 | + | 9.72843i | −0.265799 | + | 0.713323i | ||||
\(187\) | −1.87307 | + | 3.06448i | −0.136972 | + | 0.224097i | ||||
\(188\) | − | 5.08323i | − | 0.370733i | ||||||
\(189\) | −9.98929 | + | 9.44532i | −0.726614 | + | 0.687046i | ||||
\(190\) | −6.31612 | + | 4.58893i | −0.458220 | + | 0.332916i | ||||
\(191\) | −6.03464 | − | 13.5540i | −0.436651 | − | 0.980735i | −0.989108 | − | 0.147193i | \(-0.952976\pi\) |
0.552456 | − | 0.833542i | \(-0.313691\pi\) | |||||||
\(192\) | −15.3946 | − | 0.655025i | −1.11101 | − | 0.0472724i | ||||
\(193\) | 1.14632 | + | 1.03215i | 0.0825139 | + | 0.0742959i | 0.709356 | − | 0.704851i | \(-0.248986\pi\) |
−0.626842 | + | 0.779147i | \(0.715653\pi\) | |||||||
\(194\) | 12.6134 | − | 5.61585i | 0.905590 | − | 0.403195i | ||||
\(195\) | −7.88629 | − | 2.03020i | −0.564749 | − | 0.145386i | ||||
\(196\) | −0.702488 | + | 3.14583i | −0.0501777 | + | 0.224702i | ||||
\(197\) | −6.55011 | −0.466676 | −0.233338 | − | 0.972396i | \(-0.574965\pi\) | ||||
−0.233338 | + | 0.972396i | \(0.574965\pi\) | |||||||
\(198\) | −12.2709 | − | 1.35620i | −0.872052 | − | 0.0963812i | ||||
\(199\) | −0.646613 | − | 1.11997i | −0.0458372 | − | 0.0793924i | 0.842197 | − | 0.539171i | \(-0.181262\pi\) |
−0.888034 | + | 0.459778i | \(0.847929\pi\) | |||||||
\(200\) | 36.0850 | − | 7.67010i | 2.55160 | − | 0.542358i | ||||
\(201\) | 13.6354 | − | 13.9064i | 0.961770 | − | 0.980880i | ||||
\(202\) | 11.6938 | + | 8.49605i | 0.822774 | + | 0.597780i | ||||
\(203\) | 11.1369 | − | 13.6095i | 0.781657 | − | 0.955202i | ||||
\(204\) | −0.463247 | + | 0.728937i | −0.0324338 | + | 0.0510358i | ||||
\(205\) | −7.67094 | − | 17.2292i | −0.535762 | − | 1.20334i | ||||
\(206\) | −18.5445 | − | 8.25654i | −1.29206 | − | 0.575261i | ||||
\(207\) | −4.05580 | + | 0.0797997i | −0.281898 | + | 0.00554647i | ||||
\(208\) | −2.82431 | − | 1.63062i | −0.195831 | − | 0.113063i | ||||
\(209\) | 4.83938 | − | 1.43955i | 0.334747 | − | 0.0995759i | ||||
\(210\) | 17.3909 | − | 15.8076i | 1.20009 | − | 1.09083i | ||||
\(211\) | −19.6535 | − | 6.38580i | −1.35300 | − | 0.439617i | −0.459300 | − | 0.888281i | \(-0.651900\pi\) |
−0.893700 | + | 0.448664i | \(0.851900\pi\) | |||||||
\(212\) | −1.79675 | + | 0.188846i | −0.123401 | + | 0.0129700i | ||||
\(213\) | 1.76158 | + | 2.65505i | 0.120702 | + | 0.181921i | ||||
\(214\) | 13.0529 | − | 14.4967i | 0.892278 | − | 0.990976i | ||||
\(215\) | −32.6171 | − | 6.93297i | −2.22446 | − | 0.472825i | ||||
\(216\) | −15.7344 | − | 2.01820i | −1.07059 | − | 0.137321i | ||||
\(217\) | 1.93461 | + | 12.6339i | 0.131330 | + | 0.857645i | ||||
\(218\) | 3.87339 | + | 1.25854i | 0.262339 | + | 0.0852391i | ||||
\(219\) | −0.252832 | − | 1.50063i | −0.0170848 | − | 0.101403i | ||||
\(220\) | −6.25935 | − | 0.816731i | −0.422006 | − | 0.0550640i | ||||
\(221\) | −1.06677 | + | 0.615900i | −0.0717588 | + | 0.0414299i | ||||
\(222\) | 1.04251 | − | 7.02893i | 0.0699685 | − | 0.471751i | ||||
\(223\) | −3.22117 | + | 2.34032i | −0.215706 | + | 0.156719i | −0.690392 | − | 0.723436i | \(-0.742562\pi\) |
0.474686 | + | 0.880155i | \(0.342562\pi\) | |||||||
\(224\) | −6.02334 | + | 3.03021i | −0.402451 | + | 0.202464i | ||||
\(225\) | 35.9718 | − | 4.49786i | 2.39812 | − | 0.299857i | ||||
\(226\) | 1.93842 | − | 9.11953i | 0.128941 | − | 0.606622i | ||||
\(227\) | −2.03444 | + | 19.3564i | −0.135030 | + | 1.28473i | 0.691723 | + | 0.722163i | \(0.256852\pi\) |
−0.826753 | + | 0.562565i | \(0.809815\pi\) | |||||||
\(228\) | 1.16962 | − | 0.325764i | 0.0774603 | − | 0.0215742i | ||||
\(229\) | 0.830959 | + | 0.922874i | 0.0549113 | + | 0.0609852i | 0.769975 | − | 0.638074i | \(-0.220269\pi\) |
−0.715063 | + | 0.699060i | \(0.753602\pi\) | |||||||
\(230\) | 6.93470 | 0.457260 | ||||||||
\(231\) | −14.0075 | + | 5.89841i | −0.921623 | + | 0.388087i | ||||
\(232\) | 20.2917 | 1.33221 | ||||||||
\(233\) | 11.3050 | + | 12.5554i | 0.740613 | + | 0.822534i | 0.989276 | − | 0.146056i | \(-0.0466580\pi\) |
−0.248664 | + | 0.968590i | \(0.579991\pi\) | |||||||
\(234\) | −3.47380 | − | 2.42091i | −0.227089 | − | 0.158260i | ||||
\(235\) | −4.76941 | + | 45.3779i | −0.311122 | + | 2.96013i | ||||
\(236\) | 0.241436 | − | 1.13587i | 0.0157161 | − | 0.0739386i | ||||
\(237\) | 16.2230 | + | 10.3099i | 1.05380 | + | 0.669700i | ||||
\(238\) | 0.204266 | − | 3.54906i | 0.0132406 | − | 0.230051i | ||||
\(239\) | 18.9664 | − | 13.7799i | 1.22684 | − | 0.891349i | 0.230188 | − | 0.973146i | \(-0.426066\pi\) |
0.996649 | + | 0.0817973i | \(0.0260660\pi\) | |||||||
\(240\) | 20.3030 | + | 3.01127i | 1.31055 | + | 0.194377i | ||||
\(241\) | 4.71376 | − | 2.72149i | 0.303640 | − | 0.175307i | −0.340437 | − | 0.940267i | \(-0.610575\pi\) |
0.644077 | + | 0.764961i | \(0.277242\pi\) | |||||||
\(242\) | −12.1752 | − | 6.16830i | −0.782650 | − | 0.396513i | ||||
\(243\) | −15.2374 | − | 3.28946i | −0.977482 | − | 0.211019i | ||||
\(244\) | 2.62589 | + | 0.853205i | 0.168106 | + | 0.0546208i | ||||
\(245\) | 9.22272 | − | 27.4237i | 0.589218 | − | 1.75203i | ||||
\(246\) | −0.609509 | − | 9.78711i | −0.0388609 | − | 0.624003i | ||||
\(247\) | 1.69380 | + | 0.360027i | 0.107774 | + | 0.0229080i | ||||
\(248\) | −9.86834 | + | 10.9599i | −0.626641 | + | 0.695955i | ||||
\(249\) | −12.4335 | + | 8.24941i | −0.787941 | + | 0.522785i | ||||
\(250\) | −36.1310 | + | 3.79752i | −2.28513 | + | 0.240176i | ||||
\(251\) | 0.772022 | + | 0.250845i | 0.0487296 | + | 0.0158332i | 0.333280 | − | 0.942828i | \(-0.391844\pi\) |
−0.284551 | + | 0.958661i | \(0.591844\pi\) | |||||||
\(252\) | −3.39273 | + | 1.35927i | −0.213722 | + | 0.0856262i | ||||
\(253\) | −4.22921 | − | 1.49216i | −0.265888 | − | 0.0938115i | ||||
\(254\) | 4.75251 | + | 2.74386i | 0.298199 | + | 0.172165i | ||||
\(255\) | 4.81933 | − | 6.07255i | 0.301798 | − | 0.380278i | ||||
\(256\) | −9.51967 | − | 4.23843i | −0.594980 | − | 0.264902i | ||||
\(257\) | 3.85174 | + | 8.65114i | 0.240265 | + | 0.539643i | 0.992922 | − | 0.118769i | \(-0.0378949\pi\) |
−0.752657 | + | 0.658413i | \(0.771228\pi\) | |||||||
\(258\) | −14.6331 | − | 9.29949i | −0.911016 | − | 0.578961i | ||||
\(259\) | −3.09305 | − | 8.18294i | −0.192193 | − | 0.508463i | ||||
\(260\) | −1.75149 | − | 1.27253i | −0.108623 | − | 0.0789192i | ||||
\(261\) | 19.8680 | + | 1.69380i | 1.22980 | + | 0.104843i | ||||
\(262\) | −14.9356 | + | 3.17467i | −0.922728 | + | 0.196132i | ||||
\(263\) | −4.09280 | − | 7.08893i | −0.252373 | − | 0.437122i | 0.711806 | − | 0.702376i | \(-0.247878\pi\) |
−0.964179 | + | 0.265254i | \(0.914544\pi\) | |||||||
\(264\) | −15.5033 | − | 8.19836i | −0.954164 | − | 0.504574i | ||||
\(265\) | 16.2167 | 0.996186 | ||||||||
\(266\) | −3.55181 | + | 3.51554i | −0.217775 | + | 0.215552i | ||||
\(267\) | 0.106805 | − | 0.414882i | 0.00653635 | − | 0.0253904i | ||||
\(268\) | 4.73012 | − | 2.10599i | 0.288938 | − | 0.128644i | ||||
\(269\) | 19.4374 | + | 17.5015i | 1.18512 | + | 1.06709i | 0.996376 | + | 0.0850620i | \(0.0271088\pi\) |
0.188746 | + | 0.982026i | \(0.439558\pi\) | |||||||
\(270\) | 25.9326 | + | 6.13462i | 1.57821 | + | 0.373341i | ||||
\(271\) | 5.70069 | + | 12.8040i | 0.346292 | + | 0.777785i | 0.999783 | + | 0.0208500i | \(0.00663725\pi\) |
−0.653491 | + | 0.756935i | \(0.726696\pi\) | |||||||
\(272\) | 2.51175 | − | 1.82489i | 0.152297 | − | 0.110650i | ||||
\(273\) | −5.18663 | − | 0.520478i | −0.313909 | − | 0.0315008i | ||||
\(274\) | − | 0.365950i | − | 0.0221079i | ||||||
\(275\) | 38.9814 | + | 9.31117i | 2.35067 | + | 0.561484i | ||||
\(276\) | −1.01058 | − | 0.376564i | −0.0608299 | − | 0.0226665i | ||||
\(277\) | −5.51234 | − | 25.9335i | −0.331204 | − | 1.55819i | −0.757025 | − | 0.653386i | \(-0.773348\pi\) |
0.425821 | − | 0.904807i | \(-0.359985\pi\) | |||||||
\(278\) | −2.91322 | + | 0.306192i | −0.174723 | + | 0.0183642i | ||||
\(279\) | −10.5772 | + | 9.90734i | −0.633238 | + | 0.593137i | ||||
\(280\) | 31.2289 | − | 11.8041i | 1.86628 | − | 0.705432i | ||||
\(281\) | 3.78292 | + | 11.6426i | 0.225670 | + | 0.694542i | 0.998223 | + | 0.0595911i | \(0.0189797\pi\) |
−0.772552 | + | 0.634951i | \(0.781020\pi\) | |||||||
\(282\) | −10.5621 | + | 21.2433i | −0.628962 | + | 1.26502i | ||||
\(283\) | −1.33536 | + | 2.99927i | −0.0793790 | + | 0.178288i | −0.948875 | − | 0.315651i | \(-0.897777\pi\) |
0.869496 | + | 0.493940i | \(0.164444\pi\) | |||||||
\(284\) | 0.176120 | + | 0.828580i | 0.0104508 | + | 0.0491672i | ||||
\(285\) | −10.7469 | + | 1.81067i | −0.636589 | + | 0.107255i | ||||
\(286\) | −2.65580 | − | 3.85471i | −0.157041 | − | 0.227934i | ||||
\(287\) | −6.52300 | − | 10.1583i | −0.385040 | − | 0.599625i | ||||
\(288\) | −6.69503 | − | 3.69171i | −0.394508 | − | 0.217536i | ||||
\(289\) | 1.65441 | + | 15.7406i | 0.0973180 | + | 0.925919i | ||||
\(290\) | −33.9007 | − | 3.56310i | −1.99072 | − | 0.209233i | ||||
\(291\) | 19.2565 | + | 0.819345i | 1.12883 | + | 0.0480308i | ||||
\(292\) | 0.0841154 | − | 0.395732i | 0.00492248 | − | 0.0231584i | ||||
\(293\) | −5.94373 | − | 4.31837i | −0.347236 | − | 0.252282i | 0.400472 | − | 0.916309i | \(-0.368846\pi\) |
−0.747709 | + | 0.664027i | \(0.768846\pi\) | |||||||
\(294\) | 9.47225 | − | 11.6870i | 0.552433 | − | 0.681602i | ||||
\(295\) | −3.22103 | + | 9.91332i | −0.187536 | + | 0.577176i | ||||
\(296\) | 5.04710 | − | 8.74184i | 0.293357 | − | 0.508109i | ||||
\(297\) | −14.4953 | − | 9.32129i | −0.841102 | − | 0.540876i | ||||
\(298\) | −0.0557927 | − | 0.0966357i | −0.00323198 | − | 0.00559796i | ||||
\(299\) | −1.02920 | − | 1.14305i | −0.0595204 | − | 0.0661042i | ||||
\(300\) | 9.33343 | + | 2.40274i | 0.538866 | + | 0.138722i | ||||
\(301\) | −21.3097 | − | 1.22648i | −1.22827 | − | 0.0706931i | ||||
\(302\) | −12.6793 | + | 4.11976i | −0.729613 | + | 0.237066i | ||||
\(303\) | 9.33675 | + | 17.8872i | 0.536382 | + | 1.02759i | ||||
\(304\) | −4.34060 | − | 0.456215i | −0.248950 | − | 0.0261657i | ||||
\(305\) | −22.6408 | − | 10.0803i | −1.29641 | − | 0.577197i | ||||
\(306\) | 3.45055 | − | 2.08374i | 0.197255 | − | 0.119119i | ||||
\(307\) | 29.3466i | 1.67490i | 0.546516 | + | 0.837448i | \(0.315954\pi\) | ||||
−0.546516 | + | 0.837448i | \(0.684046\pi\) | |||||||
\(308\) | −4.03964 | + | 0.0896919i | −0.230180 | + | 0.00511067i | ||||
\(309\) | −18.0487 | − | 21.8454i | −1.02676 | − | 1.24274i | ||||
\(310\) | 18.4112 | − | 16.5775i | 1.04569 | − | 0.941541i | ||||
\(311\) | −9.89379 | + | 22.2218i | −0.561026 | + | 1.26008i | 0.381010 | + | 0.924571i | \(0.375576\pi\) |
−0.942036 | + | 0.335513i | \(0.891090\pi\) | |||||||
\(312\) | −3.32538 | − | 5.01201i | −0.188263 | − | 0.283749i | ||||
\(313\) | −12.5629 | − | 2.67032i | −0.710096 | − | 0.150935i | −0.161316 | − | 0.986903i | \(-0.551574\pi\) |
−0.548779 | + | 0.835967i | \(0.684907\pi\) | |||||||
\(314\) | −6.02437 | − | 18.5411i | −0.339975 | − | 1.04633i | ||||
\(315\) | 31.5622 | − | 8.95092i | 1.77833 | − | 0.504327i | ||||
\(316\) | 3.00371 | + | 4.13426i | 0.168972 | + | 0.232570i | ||||
\(317\) | −15.4733 | + | 13.9322i | −0.869065 | + | 0.782509i | −0.977354 | − | 0.211610i | \(-0.932129\pi\) |
0.108290 | + | 0.994119i | \(0.465463\pi\) | |||||||
\(318\) | 7.90116 | + | 2.94413i | 0.443075 | + | 0.165099i | ||||
\(319\) | 19.9080 | + | 9.46753i | 1.11464 | + | 0.530080i | ||||
\(320\) | 31.8438 | + | 18.3851i | 1.78013 | + | 1.02776i | ||||
\(321\) | 25.3251 | − | 10.0083i | 1.41351 | − | 0.558609i | ||||
\(322\) | 4.38782 | − | 0.671899i | 0.244524 | − | 0.0374435i | ||||
\(323\) | −0.968974 | + | 1.33368i | −0.0539152 | + | 0.0742079i | ||||
\(324\) | −3.44600 | − | 2.30217i | −0.191445 | − | 0.127898i | ||||
\(325\) | 10.2149 | + | 9.19756i | 0.566622 | + | 0.510189i | ||||
\(326\) | −2.31287 | + | 22.0055i | −0.128098 | + | 1.21877i | ||||
\(327\) | 4.05945 | + | 3.98036i | 0.224488 | + | 0.220114i | ||||
\(328\) | 4.30463 | − | 13.2483i | 0.237683 | − | 0.731514i | ||||
\(329\) | 1.37887 | + | 29.1743i | 0.0760196 | + | 1.60843i | ||||
\(330\) | 24.4613 | + | 16.4190i | 1.34655 | + | 0.903838i | ||||
\(331\) | −11.2781 | + | 19.5342i | −0.619900 | + | 1.07370i | 0.369604 | + | 0.929190i | \(0.379494\pi\) |
−0.989504 | + | 0.144509i | \(0.953840\pi\) | |||||||
\(332\) | −3.88020 | + | 0.824762i | −0.212954 | + | 0.0452647i | ||||
\(333\) | 5.67143 | − | 8.13802i | 0.310792 | − | 0.445961i | ||||
\(334\) | 19.1938 | − | 8.54562i | 1.05024 | − | 0.467595i | ||||
\(335\) | −44.2017 | + | 14.3620i | −2.41500 | + | 0.784680i | ||||
\(336\) | 13.1382 | − | 0.0618117i | 0.716746 | − | 0.00337210i | ||||
\(337\) | −2.61579 | + | 3.60032i | −0.142491 | + | 0.196122i | −0.874298 | − | 0.485390i | \(-0.838677\pi\) |
0.731807 | + | 0.681512i | \(0.238677\pi\) | |||||||
\(338\) | 1.51824 | + | 14.4451i | 0.0825813 | + | 0.785709i | ||||
\(339\) | 8.09055 | − | 10.1944i | 0.439418 | − | 0.553685i | ||||
\(340\) | 1.78492 | − | 1.03052i | 0.0968008 | − | 0.0558880i | ||||
\(341\) | −14.7954 | + | 6.14840i | −0.801213 | + | 0.332955i | ||||
\(342\) | −5.56484 | − | 1.06888i | −0.300912 | − | 0.0577985i | ||||
\(343\) | 3.17847 | − | 18.2455i | 0.171621 | − | 0.985163i | ||||
\(344\) | −14.4769 | − | 19.9258i | −0.780544 | − | 1.07433i | ||||
\(345\) | 8.66813 | + | 4.30977i | 0.466677 | + | 0.232030i | ||||
\(346\) | −0.723859 | + | 0.803927i | −0.0389149 | + | 0.0432194i | ||||
\(347\) | 16.1731 | − | 17.9621i | 0.868220 | − | 0.964256i | −0.131414 | − | 0.991328i | \(-0.541952\pi\) |
0.999633 | + | 0.0270719i | \(0.00861829\pi\) | |||||||
\(348\) | 4.74681 | + | 2.36010i | 0.254456 | + | 0.126515i | ||||
\(349\) | −2.87484 | − | 3.95687i | −0.153886 | − | 0.211806i | 0.725112 | − | 0.688631i | \(-0.241788\pi\) |
−0.878999 | + | 0.476824i | \(0.841788\pi\) | |||||||
\(350\) | −38.3696 | + | 10.0704i | −2.05094 | + | 0.538283i | ||||
\(351\) | −2.83759 | − | 5.18494i | −0.151459 | − | 0.276752i | ||||
\(352\) | −5.49673 | − | 6.42086i | −0.292977 | − | 0.342233i | ||||
\(353\) | −7.91604 | + | 4.57033i | −0.421329 | + | 0.243254i | −0.695646 | − | 0.718385i | \(-0.744882\pi\) |
0.274317 | + | 0.961639i | \(0.411548\pi\) | |||||||
\(354\) | −3.36911 | + | 4.24522i | −0.179066 | + | 0.225631i | ||||
\(355\) | −0.794794 | − | 7.56196i | −0.0421833 | − | 0.401347i | ||||
\(356\) | 0.0669455 | − | 0.0921426i | 0.00354811 | − | 0.00488355i | ||||
\(357\) | 2.46099 | − | 4.30926i | 0.130249 | − | 0.228070i | ||||
\(358\) | 6.86568 | − | 2.23079i | 0.362862 | − | 0.117901i | ||||
\(359\) | 22.6959 | − | 10.1049i | 1.19784 | − | 0.533314i | 0.291792 | − | 0.956482i | \(-0.405748\pi\) |
0.906051 | + | 0.423168i | \(0.139082\pi\) | |||||||
\(360\) | 31.0575 | + | 21.6441i | 1.63687 | + | 1.14074i | ||||
\(361\) | −16.3180 | + | 3.46850i | −0.858842 | + | 0.182553i | ||||
\(362\) | 2.71590 | − | 4.70408i | 0.142745 | − | 0.247241i | ||||
\(363\) | −11.3851 | − | 15.2768i | −0.597562 | − | 0.801823i | ||||
\(364\) | −1.23153 | − | 0.635475i | −0.0645495 | − | 0.0333079i | ||||
\(365\) | −1.12220 | + | 3.45377i | −0.0587384 | + | 0.180778i | ||||
\(366\) | −9.20102 | − | 9.02176i | −0.480945 | − | 0.471575i | ||||
\(367\) | 0.419911 | − | 3.99519i | 0.0219192 | − | 0.208547i | −0.978081 | − | 0.208226i | \(-0.933231\pi\) |
1.00000 | 0.000321205i | \(-0.000102243\pi\) | ||||||||
\(368\) | 2.88100 | + | 2.59406i | 0.150182 | + | 0.135225i | ||||
\(369\) | 5.32062 | − | 12.6124i | 0.276980 | − | 0.656573i | ||||
\(370\) | −9.96705 | + | 13.7185i | −0.518162 | + | 0.713189i | ||||
\(371\) | 10.2609 | − | 1.57123i | 0.532719 | − | 0.0815743i | ||||
\(372\) | −3.58322 | + | 1.41607i | −0.185782 | + | 0.0734196i | ||||
\(373\) | 12.9943 | + | 7.50228i | 0.672821 | + | 0.388453i | 0.797145 | − | 0.603788i | \(-0.206343\pi\) |
−0.124324 | + | 0.992242i | \(0.539676\pi\) | |||||||
\(374\) | 4.38078 | − | 0.817147i | 0.226525 | − | 0.0422537i | ||||
\(375\) | −47.5226 | − | 17.7079i | −2.45406 | − | 0.914431i | ||||
\(376\) | −25.0450 | + | 22.5506i | −1.29160 | + | 1.16296i | ||||
\(377\) | 4.44402 | + | 6.11667i | 0.228879 | + | 0.315025i | ||||
\(378\) | 17.0028 | + | 1.36899i | 0.874531 | + | 0.0704133i | ||||
\(379\) | −0.888283 | − | 2.73385i | −0.0456280 | − | 0.140429i | 0.925647 | − | 0.378388i | \(-0.123521\pi\) |
−0.971275 | + | 0.237959i | \(0.923521\pi\) | |||||||
\(380\) | −2.83406 | − | 0.602397i | −0.145384 | − | 0.0309023i | ||||
\(381\) | 4.23522 | + | 6.38332i | 0.216977 | + | 0.327027i | ||||
\(382\) | −7.48764 | + | 16.8175i | −0.383101 | + | 0.860459i | ||||
\(383\) | 13.8028 | − | 12.4281i | 0.705292 | − | 0.635047i | −0.236349 | − | 0.971668i | \(-0.575951\pi\) |
0.941640 | + | 0.336621i | \(0.109284\pi\) | |||||||
\(384\) | 6.55430 | + | 7.93304i | 0.334473 | + | 0.404831i | ||||
\(385\) | 36.1459 | + | 2.98957i | 1.84217 | + | 0.152363i | ||||
\(386\) | − | 1.91393i | − | 0.0974165i | ||||||
\(387\) | −12.5114 | − | 20.7182i | −0.635991 | − | 1.05317i | ||||
\(388\) | 4.68105 | + | 2.08414i | 0.237644 | + | 0.105806i | ||||
\(389\) | −35.4401 | − | 3.72491i | −1.79689 | − | 0.188860i | −0.853619 | − | 0.520898i | \(-0.825597\pi\) |
−0.943266 | + | 0.332038i | \(0.892264\pi\) | |||||||
\(390\) | 4.67553 | + | 8.95732i | 0.236755 | + | 0.453572i | ||||
\(391\) | 1.39263 | − | 0.452491i | 0.0704281 | − | 0.0228835i | ||||
\(392\) | 18.6159 | − | 10.4946i | 0.940245 | − | 0.530059i | ||||
\(393\) | −20.6420 | − | 5.31396i | −1.04125 | − | 0.268054i | ||||
\(394\) | 5.43818 | + | 6.03971i | 0.273971 | + | 0.304276i | ||||
\(395\) | −22.9351 | − | 39.7247i | −1.15399 | − | 1.99877i | ||||
\(396\) | −2.67314 | − | 3.72100i | −0.134330 | − | 0.186988i | ||||
\(397\) | −14.9485 | + | 25.8916i | −0.750246 | + | 1.29946i | 0.197458 | + | 0.980311i | \(0.436731\pi\) |
−0.947704 | + | 0.319152i | \(0.896602\pi\) | |||||||
\(398\) | −0.495850 | + | 1.52607i | −0.0248547 | + | 0.0764950i | ||||
\(399\) | −6.62448 | + | 2.18693i | −0.331639 | + | 0.109484i | ||||
\(400\) | −28.0284 | − | 20.3638i | −1.40142 | − | 1.01819i | ||||
\(401\) | −5.63815 | + | 26.5254i | −0.281556 | + | 1.32462i | 0.579029 | + | 0.815307i | \(0.303432\pi\) |
−0.860584 | + | 0.509308i | \(0.829901\pi\) | |||||||
\(402\) | −24.1435 | − | 1.02728i | −1.20417 | − | 0.0512361i | ||||
\(403\) | −5.46496 | − | 0.574391i | −0.272229 | − | 0.0286124i | ||||
\(404\) | 0.560717 | + | 5.33487i | 0.0278967 | + | 0.265420i | ||||
\(405\) | 28.6023 | + | 23.7846i | 1.42126 | + | 1.18187i | ||||
\(406\) | −21.7953 | + | 1.03012i | −1.08168 | + | 0.0511240i | ||||
\(407\) | 9.03038 | − | 6.22172i | 0.447619 | − | 0.308399i | ||||
\(408\) | 5.64655 | − | 0.951352i | 0.279546 | − | 0.0470990i | ||||
\(409\) | 2.50584 | + | 11.7891i | 0.123906 | + | 0.582932i | 0.995666 | + | 0.0929992i | \(0.0296454\pi\) |
−0.871760 | + | 0.489933i | \(0.837021\pi\) | |||||||
\(410\) | −9.51793 | + | 21.3776i | −0.470057 | + | 1.05576i | ||||
\(411\) | 0.227430 | − | 0.457426i | 0.0112183 | − | 0.0225631i | ||||
\(412\) | −2.32797 | − | 7.16477i | −0.114691 | − | 0.352983i | ||||
\(413\) | −1.07756 | + | 6.58459i | −0.0530234 | + | 0.324006i | ||||
\(414\) | 3.44087 | + | 3.67350i | 0.169110 | + | 0.180543i | ||||
\(415\) | 35.4123 | − | 3.72198i | 1.73832 | − | 0.182705i | ||||
\(416\) | −0.602712 | − | 2.83554i | −0.0295504 | − | 0.139024i | ||||
\(417\) | −3.83172 | − | 1.42778i | −0.187640 | − | 0.0699185i | ||||
\(418\) | −5.34523 | − | 3.26710i | −0.261444 | − | 0.159799i | ||||
\(419\) | 6.64114i | 0.324441i | 0.986755 | + | 0.162221i | \(0.0518656\pi\) | ||||
−0.986755 | + | 0.162221i | \(0.948134\pi\) | |||||||
\(420\) | 8.67827 | + | 0.870863i | 0.423456 | + | 0.0424938i | ||||
\(421\) | 23.9484 | − | 17.3995i | 1.16717 | − | 0.848000i | 0.176505 | − | 0.984300i | \(-0.443521\pi\) |
0.990668 | + | 0.136300i | \(0.0435210\pi\) | |||||||
\(422\) | 10.4289 | + | 23.4238i | 0.507672 | + | 1.14025i | ||||
\(423\) | −26.4045 | + | 19.9892i | −1.28383 | + | 0.971910i | ||||
\(424\) | 8.90133 | + | 8.01479i | 0.432287 | + | 0.389233i | ||||
\(425\) | −11.9544 | + | 5.32246i | −0.579875 | + | 0.258177i | ||||
\(426\) | 0.985625 | − | 3.82865i | 0.0477537 | − | 0.185499i | ||||
\(427\) | −15.3023 | − | 4.18451i | −0.740529 | − | 0.202503i | ||||
\(428\) | 7.23948 | 0.349933 | ||||||||
\(429\) | −0.924047 | − | 6.46878i | −0.0446134 | − | 0.312316i | ||||
\(430\) | 20.6873 | + | 35.8315i | 0.997631 | + | 1.72795i | ||||
\(431\) | 5.36469 | − | 1.14030i | 0.258408 | − | 0.0549264i | −0.0768858 | − | 0.997040i | \(-0.524498\pi\) |
0.335294 | + | 0.942114i | \(0.391164\pi\) | |||||||
\(432\) | 8.47884 | + | 12.2492i | 0.407939 | + | 0.589341i | ||||
\(433\) | −26.8304 | − | 19.4934i | −1.28939 | − | 0.936794i | −0.289593 | − | 0.957150i | \(-0.593520\pi\) |
−0.999793 | + | 0.0203562i | \(0.993520\pi\) | |||||||
\(434\) | 10.0432 | − | 12.2730i | 0.482090 | − | 0.589125i | ||||
\(435\) | −40.1603 | − | 25.5223i | −1.92554 | − | 1.22370i | ||||
\(436\) | 0.614765 | + | 1.38078i | 0.0294419 | + | 0.0661276i | ||||
\(437\) | −1.88050 | − | 0.837254i | −0.0899567 | − | 0.0400513i | ||||
\(438\) | −1.17379 | + | 1.47902i | −0.0560857 | + | 0.0706702i | ||||
\(439\) | 24.5448 | + | 14.1709i | 1.17146 | + | 0.676341i | 0.954023 | − | 0.299734i | \(-0.0968978\pi\) |
0.217434 | + | 0.976075i | \(0.430231\pi\) | |||||||
\(440\) | 23.7442 | + | 34.4630i | 1.13196 | + | 1.64296i | ||||
\(441\) | 19.1032 | − | 8.72160i | 0.909678 | − | 0.415314i | ||||
\(442\) | 1.45358 | + | 0.472298i | 0.0691400 | + | 0.0224649i | ||||
\(443\) | −2.18452 | + | 0.229602i | −0.103790 | + | 0.0109087i | −0.156281 | − | 0.987713i | \(-0.549950\pi\) |
0.0524913 | + | 0.998621i | \(0.483284\pi\) | |||||||
\(444\) | 2.19742 | − | 1.45795i | 0.104285 | − | 0.0691911i | ||||
\(445\) | −0.684075 | + | 0.759742i | −0.0324283 | + | 0.0360152i | ||||
\(446\) | 4.83231 | + | 1.02714i | 0.228816 | + | 0.0486364i | ||||
\(447\) | −0.00968186 | − | 0.155465i | −0.000457936 | − | 0.00735326i | ||||
\(448\) | 21.9300 | + | 8.54752i | 1.03610 | + | 0.403833i | ||||
\(449\) | −0.969392 | − | 0.314975i | −0.0457484 | − | 0.0148646i | 0.286053 | − | 0.958214i | \(-0.407657\pi\) |
−0.331802 | + | 0.943349i | \(0.607657\pi\) | |||||||
\(450\) | −34.0127 | − | 29.4345i | −1.60337 | − | 1.38756i | ||||
\(451\) | 10.4045 | − | 10.9894i | 0.489930 | − | 0.517470i | ||||
\(452\) | 2.99647 | − | 1.73001i | 0.140942 | − | 0.0813729i | ||||
\(453\) | −18.4091 | − | 2.73037i | −0.864934 | − | 0.128284i | ||||
\(454\) | 19.5371 | − | 14.1946i | 0.916924 | − | 0.666184i | ||||
\(455\) | 10.3976 | + | 6.82837i | 0.487445 | + | 0.320119i | ||||
\(456\) | −6.79381 | − | 4.31754i | −0.318149 | − | 0.202188i | ||||
\(457\) | 6.97842 | − | 32.8309i | 0.326437 | − | 1.53576i | −0.442694 | − | 0.896673i | \(-0.645977\pi\) |
0.769131 | − | 0.639092i | \(-0.220689\pi\) | |||||||
\(458\) | 0.161063 | − | 1.53242i | 0.00752600 | − | 0.0716051i | ||||
\(459\) | 5.60807 | − | 0.460157i | 0.261762 | − | 0.0214783i | ||||
\(460\) | 1.72206 | + | 1.91255i | 0.0802916 | + | 0.0891729i | ||||
\(461\) | 3.31197 | 0.154254 | 0.0771269 | − | 0.997021i | \(-0.475425\pi\) | ||||
0.0771269 | + | 0.997021i | \(0.475425\pi\) | |||||||
\(462\) | 17.0684 | + | 8.01884i | 0.794092 | + | 0.373070i | ||||
\(463\) | 14.1851 | 0.659237 | 0.329618 | − | 0.944114i | \(-0.393080\pi\) | ||||
0.329618 | + | 0.944114i | \(0.393080\pi\) | |||||||
\(464\) | −12.7511 | − | 14.1615i | −0.591954 | − | 0.657432i | ||||
\(465\) | 33.3160 | − | 9.27918i | 1.54499 | − | 0.430311i | ||||
\(466\) | 2.19122 | − | 20.8481i | 0.101506 | − | 0.965769i | ||||
\(467\) | −1.11790 | + | 5.25932i | −0.0517304 | + | 0.243372i | −0.996414 | − | 0.0846104i | \(-0.973035\pi\) |
0.944684 | + | 0.327983i | \(0.106369\pi\) | |||||||
\(468\) | −0.194963 | − | 1.55922i | −0.00901216 | − | 0.0720752i | ||||
\(469\) | −26.5764 | + | 13.3700i | −1.22718 | + | 0.617370i | ||||
\(470\) | 45.8017 | − | 33.2769i | 2.11267 | − | 1.53495i | ||||
\(471\) | 3.99265 | − | 26.9198i | 0.183971 | − | 1.24040i | ||||
\(472\) | −6.66747 | + | 3.84947i | −0.306895 | + | 0.177186i | ||||
\(473\) | −4.90641 | − | 26.3036i | −0.225597 | − | 1.20944i | ||||
\(474\) | −3.96250 | − | 23.5186i | −0.182004 | − | 1.08024i | ||||
\(475\) | 17.4953 | + | 5.68457i | 0.802739 | + | 0.260826i | ||||
\(476\) | 1.02953 | − | 0.824987i | 0.0471886 | − | 0.0378132i | ||||
\(477\) | 8.04646 | + | 8.59047i | 0.368422 | + | 0.393330i | ||||
\(478\) | −28.4529 | − | 6.04784i | −1.30140 | − | 0.276622i | ||||
\(479\) | 28.6198 | − | 31.7855i | 1.30767 | − | 1.45232i | 0.495859 | − | 0.868403i | \(-0.334853\pi\) |
0.811814 | − | 0.583916i | \(-0.198480\pi\) | |||||||
\(480\) | 10.0867 | + | 15.2027i | 0.460395 | + | 0.693906i | ||||
\(481\) | 3.74047 | − | 0.393139i | 0.170551 | − | 0.0179256i | ||||
\(482\) | −6.42299 | − | 2.08696i | −0.292559 | − | 0.0950582i | ||||
\(483\) | 5.90220 | + | 1.88709i | 0.268559 | + | 0.0858654i | ||||
\(484\) | −1.32223 | − | 4.88958i | −0.0601015 | − | 0.222254i | ||||
\(485\) | −39.8322 | − | 22.9971i | −1.80869 | − | 1.04425i | ||||
\(486\) | 9.61762 | + | 16.7811i | 0.436264 | + | 0.761207i | ||||
\(487\) | 14.4470 | + | 6.43222i | 0.654656 | + | 0.291472i | 0.707059 | − | 0.707154i | \(-0.250021\pi\) |
−0.0524029 | + | 0.998626i | \(0.516688\pi\) | |||||||
\(488\) | −7.44547 | − | 16.7228i | −0.337041 | − | 0.757005i | ||||
\(489\) | −16.5670 | + | 26.0687i | −0.749184 | + | 1.17887i | ||||
\(490\) | −32.9438 | + | 14.2642i | −1.48825 | + | 0.644391i | ||||
\(491\) | −1.61510 | − | 1.17344i | −0.0728883 | − | 0.0529565i | 0.550744 | − | 0.834674i | \(-0.314344\pi\) |
−0.623633 | + | 0.781717i | \(0.714344\pi\) | |||||||
\(492\) | 2.54787 | − | 2.59849i | 0.114867 | − | 0.117149i | ||||
\(493\) | −7.04042 | + | 1.49649i | −0.317085 | + | 0.0673984i | ||||
\(494\) | −1.07429 | − | 1.86072i | −0.0483344 | − | 0.0837177i | ||||
\(495\) | 20.3717 | + | 35.7254i | 0.915642 | + | 1.60574i | ||||
\(496\) | 13.8501 | 0.621886 | ||||||||
\(497\) | −1.23557 | − | 4.70771i | −0.0554228 | − | 0.211170i | ||||
\(498\) | 17.9294 | + | 4.61563i | 0.803435 | + | 0.206831i | ||||
\(499\) | 2.66969 | − | 1.18862i | 0.119512 | − | 0.0532101i | −0.346110 | − | 0.938194i | \(-0.612497\pi\) |
0.465621 | + | 0.884984i | \(0.345831\pi\) | |||||||
\(500\) | −10.0196 | − | 9.02168i | −0.448090 | − | 0.403462i | ||||
\(501\) | 29.3025 | + | 1.24679i | 1.30914 | + | 0.0557026i | ||||
\(502\) | −0.409666 | − | 0.920126i | −0.0182843 | − | 0.0410672i | ||||
\(503\) | 10.6228 | − | 7.71794i | 0.473649 | − | 0.344126i | −0.325213 | − | 0.945641i | \(-0.605436\pi\) |
0.798862 | + | 0.601515i | \(0.205436\pi\) | |||||||
\(504\) | 21.7482 | + | 10.6858i | 0.968742 | + | 0.475984i | ||||
\(505\) | − | 48.1504i | − | 2.14266i | ||||||
\(506\) | 2.13537 | + | 5.13851i | 0.0949289 | + | 0.228435i | ||||
\(507\) | −7.07956 | + | 18.9994i | −0.314414 | + | 0.843793i | ||||
\(508\) | 0.423431 | + | 1.99208i | 0.0187867 | + | 0.0883845i | ||||
\(509\) | 7.68853 | − | 0.808097i | 0.340788 | − | 0.0358183i | 0.0674111 | − | 0.997725i | \(-0.478526\pi\) |
0.273377 | + | 0.961907i | \(0.411859\pi\) | |||||||
\(510\) | −9.60057 | + | 0.597891i | −0.425120 | + | 0.0264751i | ||||
\(511\) | −0.375419 | + | 2.29405i | −0.0166076 | + | 0.101483i | ||||
\(512\) | 7.66731 | + | 23.5975i | 0.338850 | + | 1.04287i | ||||
\(513\) | −6.29157 | − | 4.79450i | −0.277780 | − | 0.211682i | ||||
\(514\) | 4.77914 | − | 10.7341i | 0.210799 | − | 0.473462i | ||||
\(515\) | 14.0593 | + | 66.1440i | 0.619528 | + | 2.91465i | ||||
\(516\) | −1.06903 | − | 6.34502i | −0.0470615 | − | 0.279324i | ||||
\(517\) | −35.0930 | + | 10.4390i | −1.54339 | + | 0.459106i | ||||
\(518\) | −4.97732 | + | 9.64585i | −0.218691 | + | 0.423814i | ||||
\(519\) | −1.40442 | + | 0.555018i | −0.0616473 | + | 0.0243626i | ||||
\(520\) | 1.50035 | + | 14.2749i | 0.0657948 | + | 0.625995i | ||||
\(521\) | 25.6169 | + | 2.69244i | 1.12230 | + | 0.117958i | 0.647448 | − | 0.762109i | \(-0.275836\pi\) |
0.474848 | + | 0.880068i | \(0.342503\pi\) | |||||||
\(522\) | −14.9334 | − | 19.7261i | −0.653619 | − | 0.863388i | ||||
\(523\) | 5.67378 | − | 26.6930i | 0.248097 | − | 1.16721i | −0.660923 | − | 0.750454i | \(-0.729835\pi\) |
0.909020 | − | 0.416752i | \(-0.136832\pi\) | |||||||
\(524\) | −4.58446 | − | 3.33081i | −0.200273 | − | 0.145507i | ||||
\(525\) | −54.2192 | − | 11.2583i | −2.36632 | − | 0.491353i | ||||
\(526\) | −3.13853 | + | 9.65940i | −0.136846 | + | 0.421170i | ||||
\(527\) | 2.61565 | − | 4.53044i | 0.113940 | − | 0.197349i | ||||
\(528\) | 4.02052 | + | 15.9715i | 0.174971 | + | 0.695070i | ||||
\(529\) | −10.5858 | − | 18.3351i | −0.460252 | − | 0.797179i | ||||
\(530\) | −13.4638 | − | 14.9531i | −0.584831 | − | 0.649520i | ||||
\(531\) | −6.84959 | + | 3.21254i | −0.297247 | + | 0.139413i | ||||
\(532\) | −1.85157 | − | 0.106567i | −0.0802758 | − | 0.00462028i | ||||
\(533\) | 4.93627 | − | 1.60389i | 0.213814 | − | 0.0694722i | ||||
\(534\) | −0.471227 | + | 0.245970i | −0.0203920 | + | 0.0106442i | ||||
\(535\) | −64.6267 | − | 6.79254i | −2.79405 | − | 0.293667i | ||||
\(536\) | −31.3603 | − | 13.9625i | −1.35456 | − | 0.603089i | ||||
\(537\) | 9.96825 | + | 1.47846i | 0.430162 | + | 0.0638001i | ||||
\(538\) | − | 32.4533i | − | 1.39916i | ||||||
\(539\) | 23.1604 | − | 1.61056i | 0.997591 | − | 0.0693716i | ||||
\(540\) | 4.74784 | + | 8.67543i | 0.204315 | + | 0.373331i | ||||
\(541\) | −20.6482 | + | 18.5917i | −0.887734 | + | 0.799319i | −0.980531 | − | 0.196366i | \(-0.937086\pi\) |
0.0927968 | + | 0.995685i | \(0.470419\pi\) | |||||||
\(542\) | 7.07328 | − | 15.8868i | 0.303823 | − | 0.682398i | ||||
\(543\) | 6.31827 | − | 4.19206i | 0.271143 | − | 0.179899i | ||||
\(544\) | 2.69943 | + | 0.573782i | 0.115737 | + | 0.0246007i | ||||
\(545\) | −4.19245 | − | 12.9030i | −0.179585 | − | 0.552705i | ||||
\(546\) | 3.82624 | + | 5.21460i | 0.163748 | + | 0.223164i | ||||
\(547\) | −4.47229 | − | 6.15558i | −0.191221 | − | 0.263194i | 0.702632 | − | 0.711554i | \(-0.252008\pi\) |
−0.893853 | + | 0.448360i | \(0.852008\pi\) | |||||||
\(548\) | 0.100927 | − | 0.0908749i | 0.00431138 | − | 0.00388198i | ||||
\(549\) | −5.89412 | − | 16.9951i | −0.251555 | − | 0.725335i | ||||
\(550\) | −23.7784 | − | 43.6744i | −1.01391 | − | 1.86228i | ||||
\(551\) | 8.76277 | + | 5.05919i | 0.373306 | + | 0.215529i | ||||
\(552\) | 2.62790 | + | 6.64967i | 0.111851 | + | 0.283029i | ||||
\(553\) | −18.3607 | − | 22.9130i | −0.780776 | − | 0.974360i | ||||
\(554\) | −19.3361 | + | 26.6139i | −0.821513 | + | 1.13072i | ||||
\(555\) | −20.9842 | + | 10.9533i | −0.890730 | + | 0.464942i | ||||
\(556\) | −0.807874 | − | 0.727413i | −0.0342615 | − | 0.0308492i | ||||
\(557\) | 1.50945 | − | 14.3614i | 0.0639574 | − | 0.608514i | −0.914859 | − | 0.403774i | \(-0.867698\pi\) |
0.978816 | − | 0.204740i | \(-0.0656350\pi\) | |||||||
\(558\) | 17.9169 | + | 1.52746i | 0.758484 | + | 0.0646626i | ||||
\(559\) | 2.83583 | − | 8.72778i | 0.119943 | − | 0.369146i | ||||
\(560\) | −27.8620 | − | 14.3770i | −1.17738 | − | 0.607538i | ||||
\(561\) | 5.98367 | + | 1.70116i | 0.252631 | + | 0.0718230i | ||||
\(562\) | 7.59467 | − | 13.1544i | 0.320362 | − | 0.554883i | ||||
\(563\) | −19.9042 | + | 4.23077i | −0.838863 | + | 0.178306i | −0.607258 | − | 0.794504i | \(-0.707731\pi\) |
−0.231604 | + | 0.972810i | \(0.574397\pi\) | |||||||
\(564\) | −8.48159 | + | 2.36229i | −0.357139 | + | 0.0994705i | ||||
\(565\) | −28.3726 | + | 12.6323i | −1.19364 | + | 0.531445i | ||||
\(566\) | 3.87423 | − | 1.25881i | 0.162846 | − | 0.0529119i | ||||
\(567\) | 20.4022 | + | 12.2781i | 0.856810 | + | 0.515632i | ||||
\(568\) | 3.30108 | − | 4.54355i | 0.138510 | − | 0.190643i | ||||
\(569\) | 2.62876 | + | 25.0110i | 0.110203 | + | 1.04851i | 0.900222 | + | 0.435431i | \(0.143404\pi\) |
−0.790019 | + | 0.613083i | \(0.789929\pi\) | |||||||
\(570\) | 10.5921 | + | 8.40614i | 0.443653 | + | 0.352094i | ||||
\(571\) | 0.163666 | − | 0.0944927i | 0.00684922 | − | 0.00395440i | −0.496571 | − | 0.867996i | \(-0.665408\pi\) |
0.503421 | + | 0.864041i | \(0.332075\pi\) | |||||||
\(572\) | 0.403599 | − | 1.68968i | 0.0168753 | − | 0.0706490i | ||||
\(573\) | −19.8110 | + | 16.3679i | −0.827618 | + | 0.683779i | ||||
\(574\) | −3.95105 | + | 14.4485i | −0.164914 | + | 0.603070i | ||||
\(575\) | −9.60435 | − | 13.2193i | −0.400529 | − | 0.551281i | ||||
\(576\) | 6.06128 | + | 25.9909i | 0.252553 | + | 1.08296i | ||||
\(577\) | 23.7183 | − | 26.3419i | 0.987407 | − | 1.09663i | −0.00791022 | − | 0.999969i | \(-0.502518\pi\) |
0.995318 | − | 0.0966583i | \(-0.0308154\pi\) | |||||||
\(578\) | 13.1405 | − | 14.5940i | 0.546573 | − | 0.607031i | ||||
\(579\) | 1.18947 | − | 2.39235i | 0.0494326 | − | 0.0994226i | ||||
\(580\) | −7.43573 | − | 10.2344i | −0.308752 | − | 0.424960i | ||||
\(581\) | 22.0460 | − | 5.78611i | 0.914621 | − | 0.240048i | ||||
\(582\) | −15.2320 | − | 18.4362i | −0.631388 | − | 0.764205i | ||||
\(583\) | 4.99356 | + | 12.0164i | 0.206812 | + | 0.497667i | ||||
\(584\) | −2.32292 | + | 1.34114i | −0.0961232 | + | 0.0554968i | ||||
\(585\) | 0.277465 | + | 14.1021i | 0.0114718 | + | 0.583050i | ||||
\(586\) | 0.952861 | + | 9.06587i | 0.0393623 | + | 0.374508i | ||||
\(587\) | −3.96041 | + | 5.45103i | −0.163463 | + | 0.224988i | −0.882889 | − | 0.469581i | \(-0.844405\pi\) |
0.719426 | + | 0.694569i | \(0.244405\pi\) | |||||||
\(588\) | 5.57542 | − | 0.289808i | 0.229926 | − | 0.0119515i | ||||
\(589\) | −6.99411 | + | 2.27252i | −0.288187 | + | 0.0936377i | ||||
\(590\) | 11.8151 | − | 5.26041i | 0.486419 | − | 0.216568i | ||||
\(591\) | 3.04399 | + | 10.9291i | 0.125213 | + | 0.449565i | ||||
\(592\) | −9.27245 | + | 1.97092i | −0.381095 | + | 0.0810043i | ||||
\(593\) | −13.1871 | + | 22.8406i | −0.541527 | + | 0.937953i | 0.457289 | + | 0.889318i | \(0.348820\pi\) |
−0.998817 | + | 0.0486348i | \(0.984513\pi\) | |||||||
\(594\) | 3.43966 | + | 21.1047i | 0.141131 | + | 0.865936i | ||||
\(595\) | −9.96467 | + | 6.39867i | −0.408512 | + | 0.262320i | ||||
\(596\) | 0.0127968 | − | 0.0393844i | 0.000524176 | − | 0.00161325i | ||||
\(597\) | −1.56822 | + | 1.59938i | −0.0641828 | + | 0.0654581i | ||||
\(598\) | −0.199489 | + | 1.89801i | −0.00815771 | + | 0.0776155i | ||||
\(599\) | −7.36593 | − | 6.63231i | −0.300964 | − | 0.270989i | 0.504787 | − | 0.863244i | \(-0.331571\pi\) |
−0.805750 | + | 0.592255i | \(0.798238\pi\) | |||||||
\(600\) | −29.5674 | − | 56.6449i | −1.20708 | − | 2.31252i | ||||
\(601\) | 12.6752 | − | 17.4459i | 0.517031 | − | 0.711632i | −0.468054 | − | 0.883700i | \(-0.655045\pi\) |
0.985085 | + | 0.172067i | \(0.0550447\pi\) | |||||||
\(602\) | 16.5613 | + | 20.6674i | 0.674987 | + | 0.842341i | ||||
\(603\) | −29.5401 | − | 16.2887i | −1.20296 | − | 0.663328i | ||||
\(604\) | −4.28481 | − | 2.47384i | −0.174346 | − | 0.100659i | ||||
\(605\) | 7.21582 | + | 44.8898i | 0.293365 | + | 1.82503i | ||||
\(606\) | 8.74164 | − | 23.4599i | 0.355105 | − | 0.952994i | ||||
\(607\) | 12.4082 | − | 11.1724i | 0.503632 | − | 0.453472i | −0.377729 | − | 0.925916i | \(-0.623295\pi\) |
0.881361 | + | 0.472444i | \(0.156628\pi\) | |||||||
\(608\) | −2.28036 | − | 3.13864i | −0.0924806 | − | 0.127289i | ||||
\(609\) | −27.8836 | − | 12.2577i | −1.12990 | − | 0.496708i | ||||
\(610\) | 9.50248 | + | 29.2456i | 0.384744 | + | 1.18412i | ||||
\(611\) | −12.2826 | − | 2.61076i | −0.496902 | − | 0.105620i | ||||
\(612\) | 1.43154 | + | 0.434194i | 0.0578667 | + | 0.0175513i | ||||
\(613\) | −10.5033 | + | 23.5908i | −0.424224 | + | 0.952822i | 0.567374 | + | 0.823460i | \(0.307960\pi\) |
−0.991597 | + | 0.129362i | \(0.958707\pi\) | |||||||
\(614\) | 27.0598 | − | 24.3647i | 1.09204 | − | 0.983281i | ||||
\(615\) | −25.1828 | + | 20.8061i | −1.01547 | + | 0.838983i | ||||
\(616\) | 18.3629 | + | 19.5054i | 0.739862 | + | 0.785893i | ||||
\(617\) | − | 14.2944i | − | 0.575471i | −0.957710 | − | 0.287735i | \(-0.907098\pi\) | ||
0.957710 | − | 0.287735i | \(-0.0929023\pi\) | |||||||
\(618\) | −5.15834 | + | 34.7793i | −0.207499 | + | 1.39903i | ||||
\(619\) | −15.9166 | − | 7.08653i | −0.639743 | − | 0.284832i | 0.0611173 | − | 0.998131i | \(-0.480534\pi\) |
−0.700860 | + | 0.713299i | \(0.747200\pi\) | |||||||
\(620\) | 9.14397 | + | 0.961069i | 0.367230 | + | 0.0385975i | ||||
\(621\) | 2.01797 | + | 6.73019i | 0.0809784 | + | 0.270073i | ||||
\(622\) | 28.7045 | − | 9.32665i | 1.15094 | − | 0.373964i | ||||
\(623\) | −0.359227 | + | 0.546995i | −0.0143921 | + | 0.0219149i | ||||
\(624\) | −1.40823 | + | 5.47027i | −0.0563744 | + | 0.218986i | ||||
\(625\) | 40.5511 | + | 45.0366i | 1.62205 | + | 1.80146i | ||||
\(626\) | 7.96798 | + | 13.8009i | 0.318465 | + | 0.551597i | ||||
\(627\) | −4.65092 | − | 7.40572i | −0.185740 | − | 0.295756i | ||||
\(628\) | 3.61751 | − | 6.26571i | 0.144354 | − | 0.250029i | ||||
\(629\) | −1.10645 | + | 3.40530i | −0.0441170 | + | 0.135778i | ||||
\(630\) | −34.4577 | − | 21.6713i | −1.37283 | − | 0.863407i | ||||
\(631\) | 21.1898 | + | 15.3953i | 0.843553 | + | 0.612877i | 0.923361 | − | 0.383933i | \(-0.125431\pi\) |
−0.0798076 | + | 0.996810i | \(0.525431\pi\) | |||||||
\(632\) | 7.04411 | − | 33.1399i | 0.280200 | − | 1.31824i | ||||
\(633\) | −1.52157 | + | 35.7603i | −0.0604768 | + | 1.42134i | ||||
\(634\) | 25.6931 | + | 2.70045i | 1.02040 | + | 0.107249i | ||||
\(635\) | −1.91086 | − | 18.1806i | −0.0758300 | − | 0.721474i | ||||
\(636\) | 1.15009 | + | 2.91019i | 0.0456040 | + | 0.115397i | ||||
\(637\) | 7.24049 | + | 3.31313i | 0.286879 | + | 0.131271i | ||||
\(638\) | −7.79869 | − | 26.2171i | −0.308753 | − | 1.03794i | ||||
\(639\) | 3.61142 | − | 4.17314i | 0.142866 | − | 0.165087i | ||||
\(640\) | −5.10557 | − | 24.0198i | −0.201815 | − | 0.949467i | ||||
\(641\) | 4.87041 | − | 10.9391i | 0.192370 | − | 0.432069i | −0.791449 | − | 0.611235i | \(-0.790673\pi\) |
0.983819 | + | 0.179165i | \(0.0573398\pi\) | |||||||
\(642\) | −30.2544 | − | 15.0424i | −1.19404 | − | 0.593675i | ||||
\(643\) | 5.78938 | + | 17.8179i | 0.228311 | + | 0.702668i | 0.997939 | + | 0.0641755i | \(0.0204417\pi\) |
−0.769628 | + | 0.638493i | \(0.779558\pi\) | |||||||
\(644\) | 1.27491 | + | 1.04328i | 0.0502387 | + | 0.0411111i | ||||
\(645\) | 3.58993 | + | 57.6448i | 0.141353 | + | 2.26976i | ||||
\(646\) | 2.03424 | − | 0.213807i | 0.0800360 | − | 0.00841212i | ||||
\(647\) | 6.02587 | + | 28.3495i | 0.236901 | + | 1.11453i | 0.922333 | + | 0.386397i | \(0.126280\pi\) |
−0.685431 | + | 0.728137i | \(0.740386\pi\) | |||||||
\(648\) | 3.94468 | + | 27.1914i | 0.154962 | + | 1.06818i | ||||
\(649\) | −8.33747 | + | 0.665831i | −0.327274 | + | 0.0261361i | ||||
\(650\) | − | 17.0551i | − | 0.668958i | ||||||
\(651\) | 20.1811 | − | 9.09922i | 0.790961 | − | 0.356627i | ||||
\(652\) | −6.64332 | + | 4.82666i | −0.260173 | + | 0.189026i | ||||
\(653\) | −5.44380 | − | 12.2270i | −0.213032 | − | 0.478478i | 0.775147 | − | 0.631781i | \(-0.217676\pi\) |
−0.988179 | + | 0.153303i | \(0.951009\pi\) | |||||||
\(654\) | 0.299877 | − | 7.04778i | 0.0117261 | − | 0.275590i | ||||
\(655\) | 37.8002 | + | 34.0355i | 1.47698 | + | 1.32988i | ||||
\(656\) | −11.9509 | + | 5.32089i | −0.466605 | + | 0.207746i | ||||
\(657\) | −2.38637 | + | 1.11924i | −0.0931012 | + | 0.0436657i | ||||
\(658\) | 25.7561 | − | 25.4931i | 1.00408 | − | 0.993826i | ||||
\(659\) | −7.71536 | −0.300548 | −0.150274 | − | 0.988644i | \(-0.548016\pi\) | ||||
−0.150274 | + | 0.988644i | \(0.548016\pi\) | |||||||
\(660\) | 1.54611 | + | 10.8235i | 0.0601824 | + | 0.421306i | ||||
\(661\) | 2.57613 | + | 4.46199i | 0.100200 | + | 0.173551i | 0.911767 | − | 0.410708i | \(-0.134718\pi\) |
−0.811567 | + | 0.584259i | \(0.801385\pi\) | |||||||
\(662\) | 27.3756 | − | 5.81886i | 1.06398 | − | 0.226157i | ||||
\(663\) | 1.52341 | + | 1.49373i | 0.0591643 | + | 0.0580116i | ||||
\(664\) | 21.2772 | + | 15.4588i | 0.825717 | + | 0.599918i | ||||
\(665\) | 16.4289 | + | 2.68858i | 0.637087 | + | 0.104259i | ||||
\(666\) | −12.2125 | + | 1.52703i | −0.473226 | + | 0.0591714i | ||||
\(667\) | −3.65560 | − | 8.21060i | −0.141545 | − | 0.317916i | ||||
\(668\) | 7.12314 | + | 3.17142i | 0.275602 | + | 0.122706i | ||||
\(669\) | 5.40188 | + | 4.28707i | 0.208849 | + | 0.165748i | ||||
\(670\) | 49.9409 | + | 28.8334i | 1.92939 | + | 1.11393i | ||||
\(671\) | 0.497689 | − | 19.8805i | 0.0192131 | − | 0.767477i | ||||
\(672\) | 7.85522 | + | 8.64199i | 0.303022 | + | 0.333372i | ||||
\(673\) | 40.0374 | + | 13.0089i | 1.54333 | + | 0.501457i | 0.952292 | − | 0.305188i | \(-0.0987195\pi\) |
0.591035 | + | 0.806646i | \(0.298719\pi\) | |||||||
\(674\) | 5.49151 | − | 0.577181i | 0.211525 | − | 0.0222322i | ||||
\(675\) | −24.2218 | − | 57.9303i | −0.932297 | − | 2.22974i | ||||
\(676\) | −3.60684 | + | 4.00581i | −0.138725 | + | 0.154069i | ||||
\(677\) | 8.24672 | + | 1.75289i | 0.316947 | + | 0.0673692i | 0.363638 | − | 0.931540i | \(-0.381534\pi\) |
−0.0466913 | + | 0.998909i | \(0.514868\pi\) | |||||||
\(678\) | −16.1171 | + | 1.00372i | −0.618975 | + | 0.0385477i | ||||
\(679\) | −27.4314 | − | 10.6918i | −1.05272 | − | 0.410312i | ||||
\(680\) | −12.9958 | − | 4.22258i | −0.498365 | − | 0.161929i | ||||
\(681\) | 33.2424 | − | 5.60080i | 1.27385 | − | 0.214623i | ||||
\(682\) | 17.9530 | + | 8.53780i | 0.687457 | + | 0.326929i | ||||
\(683\) | 22.7773 | − | 13.1505i | 0.871551 | − | 0.503190i | 0.00368733 | − | 0.999993i | \(-0.498826\pi\) |
0.867863 | + | 0.496803i | \(0.165493\pi\) | |||||||
\(684\) | −1.08710 | − | 1.80018i | −0.0415664 | − | 0.0688315i | ||||
\(685\) | −0.986236 | + | 0.716542i | −0.0376821 | + | 0.0273777i | ||||
\(686\) | −19.4626 | + | 12.2174i | −0.743086 | + | 0.466461i | ||||
\(687\) | 1.15369 | − | 1.81537i | 0.0440160 | − | 0.0692607i | ||||
\(688\) | −4.80900 | + | 22.6246i | −0.183342 | + | 0.862554i | ||||
\(689\) | −0.466504 | + | 4.43849i | −0.0177724 | + | 0.169093i | ||||
\(690\) | −3.22271 | − | 11.5708i | −0.122686 | − | 0.440494i | ||||
\(691\) | −2.09565 | − | 2.32745i | −0.0797222 | − | 0.0885405i | 0.701964 | − | 0.712213i | \(-0.252307\pi\) |
−0.781686 | + | 0.623672i | \(0.785640\pi\) | |||||||
\(692\) | −0.401471 | −0.0152616 | ||||||||
\(693\) | 16.3513 | + | 20.6309i | 0.621135 | + | 0.783703i | ||||
\(694\) | −29.9900 | −1.13841 | ||||||||
\(695\) | 6.52936 | + | 7.25159i | 0.247673 | + | 0.275069i | ||||
\(696\) | −9.43000 | − | 33.8575i | −0.357443 | − | 1.28337i | ||||
\(697\) | −0.516493 | + | 4.91410i | −0.0195636 | + | 0.186135i | ||||
\(698\) | −1.26173 | + | 5.93598i | −0.0477572 | + | 0.224680i | ||||
\(699\) | 15.6956 | − | 24.6976i | 0.593662 | − | 0.934149i | ||||
\(700\) | −12.3055 | − | 8.08137i | −0.465104 | − | 0.305447i | ||||
\(701\) | −10.6790 | + | 7.75872i | −0.403339 | + | 0.293043i | −0.770900 | − | 0.636957i | \(-0.780193\pi\) |
0.367561 | + | 0.930000i | \(0.380193\pi\) | |||||||
\(702\) | −2.42503 | + | 6.92123i | −0.0915269 | + | 0.261225i | ||||
\(703\) | 4.35908 | − | 2.51672i | 0.164406 | − | 0.0949198i | ||||
\(704\) | −3.81751 | + | 29.2571i | −0.143878 | + | 1.10267i | ||||
\(705\) | 77.9314 | − | 13.1302i | 2.93507 | − | 0.494511i | ||||
\(706\) | 10.7864 | + | 3.50472i | 0.405952 | + | 0.131902i | ||||
\(707\) | −4.66526 | − | 30.4664i | −0.175455 | − | 1.14581i | ||||
\(708\) | −2.00744 | + | 0.125017i | −0.0754443 | + | 0.00469842i | ||||
\(709\) | −8.04815 | − | 1.71069i | −0.302255 | − | 0.0642462i | 0.0542878 | − | 0.998525i | \(-0.482711\pi\) |
−0.356542 | + | 0.934279i | \(0.616044\pi\) | |||||||
\(710\) | −6.31284 | + | 7.01112i | −0.236917 | + | 0.263123i | ||||
\(711\) | 9.66331 | − | 31.8600i | 0.362403 | − | 1.19484i | ||||
\(712\) | −0.750974 | + | 0.0789306i | −0.0281439 | + | 0.00295805i | ||||
\(713\) | 6.21250 | + | 2.01856i | 0.232660 | + | 0.0755958i | ||||
\(714\) | −6.01668 | + | 1.30850i | −0.225169 | + | 0.0489694i | ||||
\(715\) | −5.18828 | + | 14.7050i | −0.194031 | + | 0.549937i | ||||
\(716\) | 2.32016 | + | 1.33955i | 0.0867086 | + | 0.0500612i | ||||
\(717\) | −31.8065 | − | 25.2425i | −1.18784 | − | 0.942697i | ||||
\(718\) | −28.1605 | − | 12.5379i | −1.05094 | − | 0.467909i | ||||
\(719\) | 10.4658 | + | 23.5065i | 0.390308 | + | 0.876646i | 0.996676 | + | 0.0814624i | \(0.0259591\pi\) |
−0.606368 | + | 0.795184i | \(0.707374\pi\) | |||||||
\(720\) | −4.41083 | − | 35.2758i | −0.164382 | − | 1.31465i | ||||
\(721\) | 15.3045 | + | 40.4894i | 0.569969 | + | 1.50790i | ||||
\(722\) | 16.7461 | + | 12.1668i | 0.623225 | + | 0.452800i | ||||
\(723\) | −6.73152 | − | 6.60038i | −0.250348 | − | 0.245471i | ||||
\(724\) | 1.97178 | − | 0.419115i | 0.0732807 | − | 0.0155763i | ||||
\(725\) | 40.1593 | + | 69.5579i | 1.49148 | + | 2.58332i | ||||
\(726\) | −4.63398 | + | 23.1813i | −0.171983 | + | 0.860340i | ||||
\(727\) | −25.2830 | −0.937693 | −0.468847 | − | 0.883280i | \(-0.655330\pi\) | ||||
−0.468847 | + | 0.883280i | \(0.655330\pi\) | |||||||
\(728\) | 2.33241 | + | 8.88685i | 0.0864449 | + | 0.329369i | ||||
\(729\) | 1.59258 | + | 26.9530i | 0.0589845 | + | 0.998259i | ||||
\(730\) | 4.11633 | − | 1.83271i | 0.152352 | − | 0.0678316i | ||||
\(731\) | 6.49244 | + | 5.84582i | 0.240132 | + | 0.216215i | ||||
\(732\) | 0.203296 | − | 4.77792i | 0.00751404 | − | 0.176597i | ||||
\(733\) | 18.8562 | + | 42.3518i | 0.696471 | + | 1.56430i | 0.820260 | + | 0.571991i | \(0.193829\pi\) |
−0.123789 | + | 0.992309i | \(0.539505\pi\) | |||||||
\(734\) | −4.03250 | + | 2.92978i | −0.148842 | + | 0.108140i | ||||
\(735\) | −50.0435 | − | 2.64410i | −1.84588 | − | 0.0975291i | ||||
\(736\) | 3.44602i | 0.127022i | ||||||||
\(737\) | −24.2529 | − | 28.3304i | −0.893366 | − | 1.04356i | ||||
\(738\) | −16.0470 | + | 5.56528i | −0.590697 | + | 0.204861i | ||||
\(739\) | 6.11624 | + | 28.7747i | 0.224990 | + | 1.05849i | 0.935095 | + | 0.354398i | \(0.115314\pi\) |
−0.710105 | + | 0.704096i | \(0.751353\pi\) | |||||||
\(740\) | −6.25854 | + | 0.657799i | −0.230069 | + | 0.0241812i | ||||
\(741\) | −0.186424 | − | 2.99348i | −0.00684846 | − | 0.109968i | ||||
\(742\) | −9.96781 | − | 8.15683i | −0.365930 | − | 0.299447i | ||||
\(743\) | 9.43345 | + | 29.0332i | 0.346080 | + | 1.06512i | 0.961003 | + | 0.276537i | \(0.0891869\pi\) |
−0.614923 | + | 0.788587i | \(0.710813\pi\) | |||||||
\(744\) | 22.8731 | + | 11.3724i | 0.838569 | + | 0.416934i | ||||
\(745\) | −0.151189 | + | 0.339577i | −0.00553915 | + | 0.0124411i | ||||
\(746\) | −3.87076 | − | 18.2105i | −0.141718 | − | 0.666733i | ||||
\(747\) | 19.5426 | + | 16.9121i | 0.715027 | + | 0.618782i | ||||
\(748\) | 1.31323 | + | 1.00527i | 0.0480163 | + | 0.0367565i | ||||
\(749\) | −41.5496 | + | 1.96377i | −1.51819 | + | 0.0717546i | ||||
\(750\) | 23.1272 | + | 58.5213i | 0.844487 | + | 2.13690i | ||||
\(751\) | −1.41857 | − | 13.4968i | −0.0517645 | − | 0.492506i | −0.989435 | − | 0.144980i | \(-0.953688\pi\) |
0.937670 | − | 0.347526i | \(-0.112978\pi\) | |||||||
\(752\) | 31.4761 | + | 3.30827i | 1.14781 | + | 0.120640i | ||||
\(753\) | 0.0597697 | − | 1.40472i | 0.00217813 | − | 0.0511910i | ||||
\(754\) | 1.95043 | − | 9.17604i | 0.0710304 | − | 0.334172i | ||||
\(755\) | 35.9293 | + | 26.1041i | 1.30760 | + | 0.950027i | ||||
\(756\) | 3.84468 | + | 5.02923i | 0.139830 | + | 0.182911i | ||||
\(757\) | 2.00647 | − | 6.17527i | 0.0729263 | − | 0.224444i | −0.907949 | − | 0.419080i | \(-0.862353\pi\) |
0.980876 | + | 0.194636i | \(0.0623526\pi\) | |||||||
\(758\) | −1.78333 | + | 3.08883i | −0.0647736 | + | 0.112191i | ||||
\(759\) | −0.524331 | + | 7.75005i | −0.0190320 | + | 0.281309i | ||||
\(760\) | 9.60465 | + | 16.6357i | 0.348397 | + | 0.603442i | ||||
\(761\) | −29.5210 | − | 32.7864i | −1.07013 | − | 1.18850i | −0.981305 | − | 0.192458i | \(-0.938354\pi\) |
−0.0888294 | − | 0.996047i | \(-0.528313\pi\) | |||||||
\(762\) | 2.36965 | − | 9.20490i | 0.0858435 | − | 0.333458i | ||||
\(763\) | −3.90288 | − | 7.75799i | −0.141294 | − | 0.280858i | ||||
\(764\) | −6.49754 | + | 2.11118i | −0.235073 | + | 0.0763798i | ||||
\(765\) | −12.3720 | − | 5.21921i | −0.447309 | − | 0.188701i | ||||
\(766\) | −22.9194 | − | 2.40892i | −0.828110 | − | 0.0870379i | ||||
\(767\) | −2.62060 | − | 1.16676i | −0.0946243 | − | 0.0421294i | ||||
\(768\) | −2.64800 | + | 17.8537i | −0.0955513 | + | 0.644239i | ||||
\(769\) | − | 26.9459i | − | 0.971696i | −0.874043 | − | 0.485848i | \(-0.838511\pi\) | ||
0.874043 | − | 0.485848i | \(-0.161489\pi\) | |||||||
\(770\) | −27.2533 | − | 35.8114i | −0.982139 | − | 1.29055i | ||||
\(771\) | 12.6448 | − | 10.4472i | 0.455391 | − | 0.376245i | ||||
\(772\) | 0.527850 | − | 0.475278i | 0.0189977 | − | 0.0171056i | ||||
\(773\) | 1.82316 | − | 4.09488i | 0.0655744 | − | 0.147283i | −0.877785 | − | 0.479054i | \(-0.840980\pi\) |
0.943360 | + | 0.331772i | \(0.107646\pi\) | |||||||
\(774\) | −8.71626 | + | 28.7376i | −0.313300 | + | 1.03295i | ||||
\(775\) | −57.0999 | − | 12.1370i | −2.05109 | − | 0.435973i | ||||
\(776\) | −10.4979 | − | 32.3093i | −0.376854 | − | 1.15984i | ||||
\(777\) | −12.2162 | + | 8.96368i | −0.438253 | + | 0.321570i | ||||
\(778\) | 25.9892 | + | 35.7711i | 0.931758 | + | 1.28246i | ||||
\(779\) | 5.16201 | − | 4.64790i | 0.184948 | − | 0.166528i | ||||
\(780\) | −1.30932 | + | 3.51382i | −0.0468811 | + | 0.125815i | ||||
\(781\) | 5.35857 | − | 2.91746i | 0.191745 | − | 0.104395i | ||||
\(782\) | −1.57345 | − | 0.908430i | −0.0562664 | − | 0.0324854i | ||||
\(783\) | −6.40694 | − | 33.9378i | −0.228965 | − | 1.21284i | ||||
\(784\) | −19.0222 | − | 6.39727i | −0.679365 | − | 0.228474i | ||||
\(785\) | −38.1723 | + | 52.5397i | −1.36243 | + | 1.87522i | ||||
\(786\) | 12.2380 | + | 23.4454i | 0.436515 | + | 0.836270i | ||||
\(787\) | −40.1996 | − | 36.1959i | −1.43296 | − | 1.29025i | −0.894112 | − | 0.447844i | \(-0.852192\pi\) |
−0.538850 | − | 0.842401i | \(-0.681141\pi\) | |||||||
\(788\) | −0.315274 | + | 2.99963i | −0.0112312 | + | 0.106857i | ||||
\(789\) | −9.92617 | + | 10.1234i | −0.353381 | + | 0.360402i | ||||
\(790\) | −17.5876 | + | 54.1290i | −0.625737 | + | 1.92582i | ||||
\(791\) | −16.7284 | + | 10.7419i | −0.594793 | + | 0.381938i | ||||
\(792\) | −6.47456 | + | 29.6779i | −0.230063 | + | 1.05456i | ||||
\(793\) | 3.41027 | − | 5.90675i | 0.121102 | − | 0.209755i | ||||
\(794\) | 36.2850 | − | 7.71261i | 1.28771 | − | 0.273710i | ||||
\(795\) | −7.53628 | − | 27.0583i | −0.267284 | − | 0.959660i | ||||
\(796\) | −0.544013 | + | 0.242210i | −0.0192820 | + | 0.00858491i | ||||
\(797\) | 25.8706 | − | 8.40588i | 0.916385 | − | 0.297752i | 0.187402 | − | 0.982283i | \(-0.439993\pi\) |
0.728983 | + | 0.684532i | \(0.239993\pi\) | |||||||
\(798\) | 7.51644 | + | 4.29259i | 0.266079 | + | 0.151956i | ||||
\(799\) | 7.02656 | − | 9.67124i | 0.248582 | − | 0.342144i | ||||
\(800\) | −3.21902 | − | 30.6269i | −0.113810 | − | 1.08283i | ||||
\(801\) | −0.741883 | + | 0.0145969i | −0.0262132 | + | 0.000515756i | ||||
\(802\) | 29.1395 | − | 16.8237i | 1.02895 | − | 0.594065i | ||||
\(803\) | −2.90474 | + | 0.231973i | −0.102506 | + | 0.00818615i | ||||
\(804\) | −5.71212 | − | 6.91371i | −0.201451 | − | 0.243828i | ||||
\(805\) | −10.4023 | − | 10.5096i | −0.366631 | − | 0.370414i | ||||
\(806\) | 4.00761 | + | 5.51600i | 0.141162 | + | 0.194293i | ||||
\(807\) | 20.1691 | − | 40.5655i | 0.709984 | − | 1.42797i | ||||
\(808\) | 23.7973 | − | 26.4296i | 0.837187 | − | 0.929790i | ||||
\(809\) | 14.5201 | − | 16.1262i | 0.510498 | − | 0.566966i | −0.431702 | − | 0.902016i | \(-0.642087\pi\) |
0.942200 | + | 0.335051i | \(0.108753\pi\) | |||||||
\(810\) | −1.81559 | − | 46.1205i | −0.0637933 | − | 1.62051i | ||||
\(811\) | 12.1443 | + | 16.7152i | 0.426445 | + | 0.586952i | 0.967133 | − | 0.254272i | \(-0.0818358\pi\) |
−0.540687 | + | 0.841224i | \(0.681836\pi\) | |||||||
\(812\) | −5.69645 | − | 5.75521i | −0.199906 | − | 0.201968i | ||||
\(813\) | 18.7147 | − | 15.4621i | 0.656353 | − | 0.542280i | ||||
\(814\) | −13.2343 | − | 3.16117i | −0.463862 | − | 0.110799i | ||||
\(815\) | 63.8334 | − | 36.8543i | 2.23599 | − | 1.29095i | ||||
\(816\) | −4.21218 | − | 3.34289i | −0.147456 | − | 0.117025i | ||||
\(817\) | −1.28376 | − | 12.2142i | −0.0449132 | − | 0.427321i | ||||
\(818\) | 8.78997 | − | 12.0984i | 0.307334 | − | 0.423009i | ||||
\(819\) | 1.54191 | + | 8.89599i | 0.0538786 | + | 0.310851i | ||||
\(820\) | −8.25936 | + | 2.68363i | −0.288429 | + | 0.0937163i | ||||
\(821\) | −3.23754 | + | 1.44145i | −0.112991 | + | 0.0503069i | −0.462454 | − | 0.886643i | \(-0.653031\pi\) |
0.349463 | + | 0.936950i | \(0.386364\pi\) | |||||||
\(822\) | −0.610604 | + | 0.170065i | −0.0212973 | + | 0.00593171i | ||||
\(823\) | −29.8431 | + | 6.34334i | −1.04026 | + | 0.221115i | −0.696212 | − | 0.717836i | \(-0.745133\pi\) |
−0.344052 | + | 0.938951i | \(0.611800\pi\) | |||||||
\(824\) | −24.9732 | + | 43.2548i | −0.869982 | + | 1.50685i | ||||
\(825\) | −2.57947 | − | 69.3693i | −0.0898056 | − | 2.41513i | ||||
\(826\) | 6.96613 | − | 4.47320i | 0.242383 | − | 0.155643i | ||||
\(827\) | −8.09428 | + | 24.9116i | −0.281466 | + | 0.866262i | 0.705970 | + | 0.708242i | \(0.250511\pi\) |
−0.987436 | + | 0.158021i | \(0.949489\pi\) | |||||||
\(828\) | −0.158672 | + | 1.86120i | −0.00551422 | + | 0.0646811i | ||||
\(829\) | 0.967960 | − | 9.20953i | 0.0336186 | − | 0.319860i | −0.964769 | − | 0.263098i | \(-0.915256\pi\) |
0.998388 | − | 0.0567620i | \(-0.0180776\pi\) | |||||||
\(830\) | −32.8327 | − | 29.5627i | −1.13964 | − | 1.02614i | ||||
\(831\) | −40.7094 | + | 21.2494i | −1.41219 | + | 0.737135i | ||||
\(832\) | −5.94800 | + | 8.18671i | −0.206210 | + | 0.283823i | ||||
\(833\) | −5.68503 | + | 5.01413i | −0.196974 | + | 0.173729i | ||||
\(834\) | 1.86473 | + | 4.71854i | 0.0645704 | + | 0.163390i | ||||
\(835\) | −60.6124 | − | 34.9946i | −2.09758 | − | 1.21104i | ||||
\(836\) | −0.426312 | − | 2.28549i | −0.0147443 | − | 0.0790452i | ||||
\(837\) | 21.4463 | + | 13.0443i | 0.741291 | + | 0.450876i | ||||
\(838\) | 6.12364 | − | 5.51375i | 0.211538 | − | 0.190469i | ||||
\(839\) | −11.5993 | − | 15.9651i | −0.400453 | − | 0.551176i | 0.560405 | − | 0.828219i | \(-0.310646\pi\) |
−0.960858 | + | 0.277043i | \(0.910646\pi\) | |||||||
\(840\) | −34.2085 | − | 46.6211i | −1.18030 | − | 1.60858i | ||||
\(841\) | 4.69043 | + | 14.4357i | 0.161739 | + | 0.497781i | ||||
\(842\) | −35.9266 | − | 7.63644i | −1.23811 | − | 0.263169i | ||||
\(843\) | 17.6682 | − | 11.7226i | 0.608526 | − | 0.403747i | ||||
\(844\) | −3.87035 | + | 8.69296i | −0.133223 | + | 0.299224i | ||||
\(845\) | 35.9567 | − | 32.3756i | 1.23695 | − | 1.11375i | ||||
\(846\) | 40.3537 | + | 7.75105i | 1.38739 | + | 0.266487i | ||||
\(847\) | 8.91505 | + | 27.7042i | 0.306325 | + | 0.951927i | ||||
\(848\) | − | 11.2486i | − | 0.386279i | ||||||
\(849\) | 5.62498 | + | 0.834278i | 0.193049 | + | 0.0286324i | ||||
\(850\) | 14.8328 | + | 6.60398i | 0.508760 | + | 0.226515i | ||||
\(851\) | −4.44645 | − | 0.467341i | −0.152422 | − | 0.0160202i | ||||
\(852\) | 1.30067 | − | 0.678924i | 0.0445604 | − | 0.0232595i | ||||
\(853\) | 2.54811 | − | 0.827931i | 0.0872456 | − | 0.0283478i | −0.265069 | − | 0.964229i | \(-0.585395\pi\) |
0.352315 | + | 0.935882i | \(0.385395\pi\) | |||||||
\(854\) | 8.84614 | + | 17.5840i | 0.302709 | + | 0.601713i | ||||
\(855\) | 8.01549 | + | 17.0901i | 0.274124 | + | 0.584470i | ||||
\(856\) | −32.1163 | − | 35.6688i | −1.09771 | − | 1.21913i | ||||
\(857\) | −16.5156 | − | 28.6058i | −0.564161 | − | 0.977156i | −0.997127 | − | 0.0757455i | \(-0.975866\pi\) |
0.432966 | − | 0.901410i | \(-0.357467\pi\) | |||||||
\(858\) | −5.19753 | + | 6.22269i | −0.177441 | + | 0.212439i | ||||
\(859\) | 10.2092 | − | 17.6829i | 0.348334 | − | 0.603333i | −0.637619 | − | 0.770352i | \(-0.720081\pi\) |
0.985954 | + | 0.167019i | \(0.0534141\pi\) | |||||||
\(860\) | −4.74490 | + | 14.6033i | −0.161800 | + | 0.497969i | ||||
\(861\) | −13.9181 | + | 15.6047i | −0.474329 | + | 0.531806i | ||||
\(862\) | −5.50544 | − | 3.99993i | −0.187516 | − | 0.136238i | ||||
\(863\) | 8.77491 | − | 41.2827i | 0.298701 | − | 1.40528i | −0.531142 | − | 0.847283i | \(-0.678237\pi\) |
0.829843 | − | 0.557996i | \(-0.188430\pi\) | |||||||
\(864\) | −3.04845 | + | 12.8866i | −0.103710 | + | 0.438410i | ||||
\(865\) | 3.58392 | + | 0.376685i | 0.121857 | + | 0.0128077i | ||||
\(866\) | 4.30128 | + | 40.9239i | 0.146163 | + | 1.39065i | ||||
\(867\) | 25.4951 | − | 10.0755i | 0.865857 | − | 0.342181i | ||||
\(868\) | 5.87882 | − | 0.277852i | 0.199540 | − | 0.00943092i | ||||
\(869\) | 22.3731 | − | 29.2268i | 0.758956 | − | 0.991451i | ||||
\(870\) | 9.80921 | + | 58.2205i | 0.332564 | + | 1.97386i | ||||
\(871\) | −2.65931 | − | 12.5111i | −0.0901072 | − | 0.423921i | ||||
\(872\) | 4.07584 | − | 9.15448i | 0.138025 | − | 0.310010i | ||||
\(873\) | −7.58180 | − | 32.5110i | −0.256605 | − | 1.10033i | ||||
\(874\) | 0.789260 | + | 2.42909i | 0.0266971 | + | 0.0821653i | ||||
\(875\) | 59.9528 | + | 49.0604i | 2.02677 | + | 1.65854i | ||||
\(876\) | −0.699385 | + | 0.0435554i | −0.0236300 | + | 0.00147160i | ||||
\(877\) | −34.3269 | + | 3.60790i | −1.15914 | + | 0.121830i | −0.664513 | − | 0.747277i | \(-0.731361\pi\) |
−0.494624 | + | 0.869107i | \(0.664694\pi\) | |||||||
\(878\) | −7.31140 | − | 34.3974i | −0.246748 | − | 1.16086i | ||||
\(879\) | −4.44320 | + | 11.9242i | −0.149866 | + | 0.402194i | ||||
\(880\) | 9.13101 | − | 38.2272i | 0.307806 | − | 1.28864i | ||||
\(881\) | 57.8553i | 1.94919i | 0.223964 | + | 0.974597i | \(0.428100\pi\) | ||||
−0.223964 | + | 0.974597i | \(0.571900\pi\) | |||||||
\(882\) | −23.9023 | − | 10.3736i | −0.804832 | − | 0.349298i | ||||
\(883\) | 16.4125 | − | 11.9244i | 0.552326 | − | 0.401289i | −0.276316 | − | 0.961067i | \(-0.589114\pi\) |
0.828642 | + | 0.559778i | \(0.189114\pi\) | |||||||
\(884\) | 0.230706 | + | 0.518173i | 0.00775947 | + | 0.0174281i | ||||
\(885\) | 18.0377 | + | 0.767487i | 0.606330 | + | 0.0257988i | ||||
\(886\) | 2.02539 | + | 1.82367i | 0.0680442 | + | 0.0612673i | ||||
\(887\) | −29.0712 | + | 12.9433i | −0.976114 | + | 0.434594i | −0.831884 | − | 0.554950i | \(-0.812737\pi\) |
−0.144230 | + | 0.989544i | \(0.546071\pi\) | |||||||
\(888\) | −16.9316 | − | 4.35877i | −0.568188 | − | 0.146271i | ||||
\(889\) | −2.97057 | − | 11.3183i | −0.0996298 | − | 0.379605i | ||||
\(890\) | 1.26849 | 0.0425198 | ||||||||
\(891\) | −8.81667 | + | 28.5178i | −0.295369 | + | 0.955383i | ||||
\(892\) | 0.916708 | + | 1.58779i | 0.0306937 | + | 0.0531630i | ||||
\(893\) | −16.4378 | + | 3.49397i | −0.550072 | + | 0.116921i | ||||
\(894\) | −0.135313 | + | 0.138001i | −0.00452553 | + | 0.00461545i | ||||
\(895\) | −19.4552 | − | 14.1350i | −0.650315 | − | 0.472482i | ||||
\(896\) | −5.55774 | − | 14.7035i | −0.185671 | − | 0.491209i | ||||
\(897\) | −1.42893 | + | 2.24847i | −0.0477105 | + | 0.0750743i | ||||
\(898\) | 0.514399 | + | 1.15536i | 0.0171657 | + | 0.0385548i | ||||
\(899\) | −29.3330 | − | 13.0599i | −0.978312 | − | 0.435572i | ||||
\(900\) | −0.328380 | − | 16.6898i | −0.0109460 | − | 0.556328i | ||||
\(901\) | −3.67950 | − | 2.12436i | −0.122582 | − | 0.0707726i | ||||
\(902\) | −18.7713 | − | 0.469922i | −0.625016 | − | 0.0156467i | ||||
\(903\) | 7.85665 | + | 36.1261i | 0.261453 | + | 1.20220i | ||||
\(904\) | −21.8169 | − | 7.08874i | −0.725619 | − | 0.235768i | ||||
\(905\) | −17.9953 | + | 1.89138i | −0.598184 | + | 0.0628717i | ||||
\(906\) | 12.7664 | + | 19.2414i | 0.424134 | + | 0.639254i | ||||
\(907\) | 25.5159 | − | 28.3383i | 0.847242 | − | 0.940958i | −0.151630 | − | 0.988437i | \(-0.548452\pi\) |
0.998872 | + | 0.0474794i | \(0.0151189\pi\) | |||||||
\(908\) | 8.76635 | + | 1.86334i | 0.290922 | + | 0.0618373i | ||||
\(909\) | 25.5066 | − | 23.8914i | 0.846001 | − | 0.792427i | ||||
\(910\) | −2.33621 | − | 15.2565i | −0.0774445 | − | 0.505749i | ||||
\(911\) | 7.48812 | + | 2.43304i | 0.248093 | + | 0.0806102i | 0.430424 | − | 0.902627i | \(-0.358364\pi\) |
−0.182331 | + | 0.983237i | \(0.558364\pi\) | |||||||
\(912\) | 1.25596 | + | 7.45448i | 0.0415890 | + | 0.246843i | ||||
\(913\) | 13.6623 | + | 25.0939i | 0.452156 | + | 0.830487i | ||||
\(914\) | −36.0664 | + | 20.8229i | −1.19297 | + | 0.688761i | ||||
\(915\) | −6.29776 | + | 42.4616i | −0.208198 | + | 1.40374i | ||||
\(916\) | 0.462627 | − | 0.336118i | 0.0152856 | − | 0.0111057i | ||||
\(917\) | 27.2152 | + | 17.8730i | 0.898724 | + | 0.590217i | ||||
\(918\) | −5.08035 | − | 4.78903i | −0.167677 | − | 0.158062i | ||||
\(919\) | 3.98345 | − | 18.7407i | 0.131402 | − | 0.618198i | −0.862324 | − | 0.506357i | \(-0.830992\pi\) |
0.993726 | − | 0.111841i | \(-0.0356747\pi\) | |||||||
\(920\) | 1.78353 | − | 16.9692i | 0.0588013 | − | 0.559457i | ||||
\(921\) | 48.9660 | − | 13.6380i | 1.61348 | − | 0.449388i | ||||
\(922\) | −2.74973 | − | 3.05389i | −0.0905577 | − | 0.100574i | ||||
\(923\) | 2.09256 | 0.0688774 | ||||||||
\(924\) | 2.02697 | + | 6.69863i | 0.0666823 | + | 0.220369i | ||||
\(925\) | 39.9549 | 1.31371 | ||||||||
\(926\) | −11.7771 | − | 13.0797i | −0.387018 | − | 0.429827i | ||||
\(927\) | −28.0623 | + | 40.2671i | −0.921688 | + | 1.32255i | ||||
\(928\) | 1.77060 | − | 16.8461i | 0.0581226 | − | 0.553000i | ||||
\(929\) | −0.0556416 | + | 0.261773i | −0.00182554 | + | 0.00858849i | −0.979051 | − | 0.203615i | \(-0.934731\pi\) |
0.977225 | + | 0.212204i | \(0.0680641\pi\) | |||||||
\(930\) | −36.2164 | − | 23.0160i | −1.18758 | − | 0.754723i | ||||
\(931\) | 10.6557 | + | 0.109368i | 0.349225 | + | 0.00358441i | ||||
\(932\) | 6.29391 | − | 4.57279i | 0.206164 | − | 0.149787i | ||||
\(933\) | 41.6759 | + | 6.18123i | 1.36441 | + | 0.202364i | ||||
\(934\) | 5.77762 | − | 3.33571i | 0.189050 | − | 0.109148i | ||||
\(935\) | −10.7799 | − | 10.2062i | −0.352541 | − | 0.333779i | ||||
\(936\) | −6.81737 | + | 7.87773i | −0.222833 | + | 0.257492i | ||||
\(937\) | −26.3131 | − | 8.54964i | −0.859611 | − | 0.279304i | −0.154145 | − | 0.988048i | \(-0.549262\pi\) |
−0.705466 | + | 0.708744i | \(0.749262\pi\) | |||||||
\(938\) | 34.3930 | + | 13.4051i | 1.12297 | + | 0.437694i | ||||
\(939\) | 1.38271 | + | 22.2026i | 0.0451229 | + | 0.724556i | ||||
\(940\) | 20.5513 | + | 4.36831i | 0.670309 | + | 0.142479i | ||||
\(941\) | −17.5944 | + | 19.5406i | −0.573562 | + | 0.637005i | −0.958213 | − | 0.286057i | \(-0.907655\pi\) |
0.384651 | + | 0.923062i | \(0.374322\pi\) | |||||||
\(942\) | −28.1369 | + | 18.6684i | −0.916751 | + | 0.608249i | ||||
\(943\) | −6.13613 | + | 0.644933i | −0.199820 | + | 0.0210019i | ||||
\(944\) | 6.87630 | + | 2.23425i | 0.223805 | + | 0.0727185i | ||||
\(945\) | −29.6027 | − | 48.5031i | −0.962974 | − | 1.57781i | ||||
\(946\) | −20.1804 | + | 26.3624i | −0.656123 | + | 0.857117i | ||||
\(947\) | 4.49440 | + | 2.59484i | 0.146048 | + | 0.0843211i | 0.571243 | − | 0.820781i | \(-0.306461\pi\) |
−0.425195 | + | 0.905102i | \(0.639795\pi\) | |||||||
\(948\) | 5.50229 | − | 6.93310i | 0.178706 | − | 0.225177i | ||||
\(949\) | −0.913006 | − | 0.406497i | −0.0296374 | − | 0.0131954i | ||||
\(950\) | −9.28372 | − | 20.8516i | −0.301204 | − | 0.676514i | ||||
\(951\) | 30.4372 | + | 19.3432i | 0.986994 | + | 0.627246i | ||||
\(952\) | −8.63199 | − | 1.41262i | −0.279765 | − | 0.0457833i | ||||
\(953\) | −47.0764 | − | 34.2030i | −1.52495 | − | 1.10794i | −0.958963 | − | 0.283531i | \(-0.908494\pi\) |
−0.565990 | − | 0.824412i | \(-0.691506\pi\) | |||||||
\(954\) | 1.24056 | − | 14.5516i | 0.0401647 | − | 0.471126i | ||||
\(955\) | 59.9842 | − | 12.7500i | 1.94104 | − | 0.412582i | ||||
\(956\) | −5.39762 | − | 9.34896i | −0.174572 | − | 0.302367i | ||||
\(957\) | 6.54526 | − | 37.6172i | 0.211578 | − | 1.21599i | ||||
\(958\) | −53.0701 | −1.71462 | ||||||||
\(959\) | −0.554600 | + | 0.548937i | −0.0179090 | + | 0.0177261i | ||||
\(960\) | 15.8777 | − | 61.6767i | 0.512450 | − | 1.99061i | ||||
\(961\) | −7.00063 | + | 3.11688i | −0.225827 | + | 0.100545i | ||||
\(962\) | −3.46800 | − | 3.12260i | −0.111813 | − | 0.100677i | ||||
\(963\) | −28.4684 | − | 37.6049i | −0.917382 | − | 1.21180i | ||||
\(964\) | −1.01942 | − | 2.28966i | −0.0328335 | − | 0.0737451i | ||||
\(965\) | −5.15804 | + | 3.74754i | −0.166043 | + | 0.120637i | ||||
\(966\) | −3.16021 | − | 7.00902i | −0.101678 | − | 0.225511i | ||||
\(967\) | − | 9.92340i | − | 0.319115i | −0.987189 | − | 0.159557i | \(-0.948993\pi\) | ||
0.987189 | − | 0.159557i | \(-0.0510067\pi\) | |||||||
\(968\) | −18.2251 | + | 28.2062i | −0.585777 | + | 0.906580i | ||||
\(969\) | 2.67560 | + | 0.996984i | 0.0859528 | + | 0.0320277i | ||||
\(970\) | 11.8652 | + | 55.8215i | 0.380969 | + | 1.79232i | ||||
\(971\) | −5.14904 | + | 0.541185i | −0.165240 | + | 0.0173675i | −0.186787 | − | 0.982400i | \(-0.559808\pi\) |
0.0215469 | + | 0.999768i | \(0.493141\pi\) | |||||||
\(972\) | −2.23983 | + | 6.81967i | −0.0718425 | + | 0.218741i | ||||
\(973\) | 4.83396 | + | 3.95571i | 0.154970 | + | 0.126814i | ||||
\(974\) | −6.06351 | − | 18.6616i | −0.194287 | − | 0.597955i | ||||
\(975\) | 10.5994 | − | 21.3183i | 0.339453 | − | 0.682734i | ||||
\(976\) | −6.99214 | + | 15.7046i | −0.223813 | + | 0.502692i | ||||
\(977\) | 6.86164 | + | 32.2815i | 0.219523 | + | 1.03278i | 0.940494 | + | 0.339811i | \(0.110363\pi\) |
−0.720970 | + | 0.692966i | \(0.756304\pi\) | |||||||
\(978\) | 37.7919 | − | 6.36733i | 1.20845 | − | 0.203605i | ||||
\(979\) | −0.773603 | − | 0.272945i | −0.0247244 | − | 0.00872337i | ||||
\(980\) | −12.1148 | − | 5.54352i | −0.386992 | − | 0.177081i | ||||
\(981\) | 4.75488 | − | 8.62312i | 0.151812 | − | 0.275315i | ||||
\(982\) | 0.258922 | + | 2.46348i | 0.00826254 | + | 0.0786128i | ||||
\(983\) | 35.0313 | + | 3.68193i | 1.11732 | + | 0.117435i | 0.645140 | − | 0.764065i | \(-0.276799\pi\) |
0.472184 | + | 0.881500i | \(0.343466\pi\) | |||||||
\(984\) | −24.1058 | − | 1.02568i | −0.768464 | − | 0.0326974i | ||||
\(985\) | 5.62888 | − | 26.4818i | 0.179351 | − | 0.843781i | ||||
\(986\) | 7.22513 | + | 5.24936i | 0.230095 | + | 0.167174i | ||||
\(987\) | 48.0377 | − | 15.8586i | 1.52906 | − | 0.504786i | ||||
\(988\) | 0.246402 | − | 0.758346i | 0.00783908 | − | 0.0241262i | ||||
\(989\) | −5.45450 | + | 9.44747i | −0.173443 | + | 0.300412i | ||||
\(990\) | 16.0281 | − | 48.4451i | 0.509407 | − | 1.53968i | ||||
\(991\) | −28.5574 | − | 49.4629i | −0.907155 | − | 1.57124i | −0.817997 | − | 0.575222i | \(-0.804916\pi\) |
−0.0891579 | − | 0.996018i | \(-0.528418\pi\) | |||||||
\(992\) | 8.23780 | + | 9.14900i | 0.261550 | + | 0.290481i | ||||
\(993\) | 37.8349 | + | 9.73998i | 1.20065 | + | 0.309089i | ||||
\(994\) | −3.31505 | + | 5.04782i | −0.105147 | + | 0.160107i | ||||
\(995\) | 5.08365 | − | 1.65178i | 0.161163 | − | 0.0523649i | ||||
\(996\) | 3.17937 | + | 6.09099i | 0.100742 | + | 0.193001i | ||||
\(997\) | 31.6252 | + | 3.32395i | 1.00158 | + | 0.105270i | 0.591100 | − | 0.806599i | \(-0.298694\pi\) |
0.410481 | + | 0.911869i | \(0.365361\pi\) | |||||||
\(998\) | −3.31249 | − | 1.47482i | −0.104855 | − | 0.0466845i | ||||
\(999\) | −16.2143 | − | 5.68109i | −0.512997 | − | 0.179742i |
(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 | 231.2.be.a.2.9 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.20 | yes | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.20 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.9 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.9 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.20 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.20 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.9 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.9 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.2.20 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.116.9 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.116.20 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.149.9 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.149.20 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.200.9 | yes | 224 | 21.11 | odd | 6 | inner | |
231.2.be.a.200.20 | yes | 224 | 7.4 | even | 3 | inner |