Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [520,2,Mod(101,520)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(520, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("520.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 520 = 2^{3} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 520.ca (of order \(6\), degree \(2\), 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: | \(4.15222090511\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Character | \(\chi\) | \(=\) | 520.101 |
Dual form | 520.2.ca.a.381.3 |
$q$-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 \(\left(\mathbb{Z}/520\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(261\) | \(391\) | \(417\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37890 | − | 0.314043i | −0.975032 | − | 0.222062i | ||||
\(3\) | 1.00502 | − | 0.580249i | 0.580249 | − | 0.335007i | −0.180983 | − | 0.983486i | \(-0.557928\pi\) |
0.761232 | + | 0.648479i | \(0.224595\pi\) | |||||||
\(4\) | 1.80275 | + | 0.866072i | 0.901377 | + | 0.433036i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | −1.56805 | + | 0.484488i | −0.640154 | + | 0.197791i | ||||
\(7\) | −2.74313 | − | 1.58374i | −1.03680 | − | 0.598599i | −0.117878 | − | 0.993028i | \(-0.537609\pi\) |
−0.918926 | + | 0.394429i | \(0.870942\pi\) | |||||||
\(8\) | −2.21384 | − | 1.76037i | −0.782711 | − | 0.622386i | ||||
\(9\) | −0.826622 | + | 1.43175i | −0.275541 | + | 0.477251i | ||||
\(10\) | 1.37890 | + | 0.314043i | 0.436048 | + | 0.0993093i | ||||
\(11\) | 1.23270 | + | 2.13510i | 0.371674 | + | 0.643758i | 0.989823 | − | 0.142303i | \(-0.0454507\pi\) |
−0.618149 | + | 0.786061i | \(0.712117\pi\) | |||||||
\(12\) | 2.31434 | − | 0.175626i | 0.668093 | − | 0.0506988i | ||||
\(13\) | −3.60242 | + | 0.150193i | −0.999132 | + | 0.0416560i | ||||
\(14\) | 3.28514 | + | 3.04529i | 0.877991 | + | 0.813888i | ||||
\(15\) | −1.00502 | + | 0.580249i | −0.259495 | + | 0.149820i | ||||
\(16\) | 2.49984 | + | 3.12263i | 0.624960 | + | 0.780657i | ||||
\(17\) | 0.369228 | − | 0.639522i | 0.0895509 | − | 0.155107i | −0.817770 | − | 0.575544i | \(-0.804790\pi\) |
0.907321 | + | 0.420438i | \(0.138123\pi\) | |||||||
\(18\) | 1.58946 | − | 1.71465i | 0.374640 | − | 0.404148i | ||||
\(19\) | −4.31749 | + | 7.47811i | −0.990499 | + | 1.71560i | −0.376157 | + | 0.926556i | \(0.622755\pi\) |
−0.614342 | + | 0.789040i | \(0.710579\pi\) | |||||||
\(20\) | −1.80275 | − | 0.866072i | −0.403108 | − | 0.193660i | ||||
\(21\) | −3.67586 | −0.802139 | ||||||||
\(22\) | −1.02926 | − | 3.33122i | −0.219440 | − | 0.710220i | ||||
\(23\) | 2.88507 | + | 4.99708i | 0.601578 | + | 1.04196i | 0.992582 | + | 0.121575i | \(0.0387945\pi\) |
−0.391004 | + | 0.920389i | \(0.627872\pi\) | |||||||
\(24\) | −3.24641 | − | 0.484633i | −0.662671 | − | 0.0989252i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 5.01456 | + | 0.924215i | 0.983436 | + | 0.181254i | ||||
\(27\) | 5.40008i | 1.03925i | ||||||||
\(28\) | −3.57354 | − | 5.23084i | −0.675336 | − | 0.988536i | ||||
\(29\) | −1.59257 | + | 0.919468i | −0.295732 | + | 0.170741i | −0.640524 | − | 0.767938i | \(-0.721283\pi\) |
0.344792 | + | 0.938679i | \(0.387949\pi\) | |||||||
\(30\) | 1.56805 | − | 0.484488i | 0.286286 | − | 0.0884549i | ||||
\(31\) | − | 9.05883i | − | 1.62701i | −0.581556 | − | 0.813507i | \(-0.697556\pi\) | ||
0.581556 | − | 0.813507i | \(-0.302444\pi\) | |||||||
\(32\) | −2.46640 | − | 5.09086i | −0.436002 | − | 0.899946i | ||||
\(33\) | 2.47778 | + | 1.43055i | 0.431327 | + | 0.249027i | ||||
\(34\) | −0.709967 | + | 0.765885i | −0.121758 | + | 0.131348i | ||||
\(35\) | 2.74313 | + | 1.58374i | 0.463673 | + | 0.267702i | ||||
\(36\) | −2.73020 | + | 1.86518i | −0.455033 | + | 0.310864i | ||||
\(37\) | −1.35800 | − | 2.35212i | −0.223253 | − | 0.386686i | 0.732541 | − | 0.680723i | \(-0.238334\pi\) |
−0.955794 | + | 0.294037i | \(0.905001\pi\) | |||||||
\(38\) | 8.30185 | − | 8.95571i | 1.34674 | − | 1.45281i | ||||
\(39\) | −3.53336 | + | 2.24125i | −0.565790 | + | 0.358887i | ||||
\(40\) | 2.21384 | + | 1.76037i | 0.350039 | + | 0.278339i | ||||
\(41\) | 0.165016 | − | 0.0952718i | 0.0257711 | − | 0.0148790i | −0.487059 | − | 0.873369i | \(-0.661930\pi\) |
0.512830 | + | 0.858490i | \(0.328597\pi\) | |||||||
\(42\) | 5.06866 | + | 1.15438i | 0.782112 | + | 0.178125i | ||||
\(43\) | −7.43510 | − | 4.29266i | −1.13384 | − | 0.654624i | −0.188944 | − | 0.981988i | \(-0.560507\pi\) |
−0.944899 | + | 0.327363i | \(0.893840\pi\) | |||||||
\(44\) | 0.373106 | + | 4.91667i | 0.0562479 | + | 0.741216i | ||||
\(45\) | 0.826622 | − | 1.43175i | 0.123226 | − | 0.213433i | ||||
\(46\) | −2.40893 | − | 7.79654i | −0.355177 | − | 1.14954i | ||||
\(47\) | 8.23945i | 1.20185i | 0.799307 | + | 0.600923i | \(0.205200\pi\) | ||||
−0.799307 | + | 0.600923i | \(0.794800\pi\) | |||||||
\(48\) | 4.32429 | + | 1.68778i | 0.624158 | + | 0.243609i | ||||
\(49\) | 1.51649 | + | 2.62664i | 0.216642 | + | 0.375234i | ||||
\(50\) | −1.37890 | − | 0.314043i | −0.195006 | − | 0.0444124i | ||||
\(51\) | − | 0.856977i | − | 0.120001i | ||||||
\(52\) | −6.62436 | − | 2.84919i | −0.918633 | − | 0.395112i | ||||
\(53\) | 4.18560i | 0.574936i | 0.957790 | + | 0.287468i | \(0.0928135\pi\) | ||||
−0.957790 | + | 0.287468i | \(0.907186\pi\) | |||||||
\(54\) | 1.69586 | − | 7.44619i | 0.230777 | − | 1.01330i | ||||
\(55\) | −1.23270 | − | 2.13510i | −0.166218 | − | 0.287897i | ||||
\(56\) | 3.28486 | + | 8.33508i | 0.438958 | + | 1.11382i | ||||
\(57\) | 10.0209i | 1.32730i | ||||||||
\(58\) | 2.48475 | − | 0.767724i | 0.326263 | − | 0.100807i | ||||
\(59\) | −5.72512 | + | 9.91620i | −0.745347 | + | 1.29098i | 0.204685 | + | 0.978828i | \(0.434383\pi\) |
−0.950032 | + | 0.312151i | \(0.898950\pi\) | |||||||
\(60\) | −2.31434 | + | 0.175626i | −0.298780 | + | 0.0226732i | ||||
\(61\) | 4.03040 | + | 2.32695i | 0.516040 | + | 0.297936i | 0.735313 | − | 0.677728i | \(-0.237035\pi\) |
−0.219273 | + | 0.975664i | \(0.570368\pi\) | |||||||
\(62\) | −2.84487 | + | 12.4913i | −0.361298 | + | 1.58639i | ||||
\(63\) | 4.53506 | − | 2.61832i | 0.571363 | − | 0.329877i | ||||
\(64\) | 1.80218 | + | 7.79437i | 0.225272 | + | 0.974296i | ||||
\(65\) | 3.60242 | − | 0.150193i | 0.446825 | − | 0.0186291i | ||||
\(66\) | −2.96737 | − | 2.75072i | −0.365258 | − | 0.338590i | ||||
\(67\) | 1.66496 | + | 2.88379i | 0.203407 | + | 0.352311i | 0.949624 | − | 0.313391i | \(-0.101465\pi\) |
−0.746217 | + | 0.665703i | \(0.768132\pi\) | |||||||
\(68\) | 1.21950 | − | 0.833122i | 0.147886 | − | 0.101031i | ||||
\(69\) | 5.79911 | + | 3.34812i | 0.698130 | + | 0.403066i | ||||
\(70\) | −3.28514 | − | 3.04529i | −0.392650 | − | 0.363982i | ||||
\(71\) | −3.24673 | − | 1.87450i | −0.385316 | − | 0.222462i | 0.294813 | − | 0.955555i | \(-0.404743\pi\) |
−0.680129 | + | 0.733093i | \(0.738076\pi\) | |||||||
\(72\) | 4.35043 | − | 1.71451i | 0.512703 | − | 0.202056i | ||||
\(73\) | − | 1.03291i | − | 0.120893i | −0.998171 | − | 0.0604467i | \(-0.980747\pi\) | ||
0.998171 | − | 0.0604467i | \(-0.0192525\pi\) | |||||||
\(74\) | 1.13388 | + | 3.66982i | 0.131811 | + | 0.426608i | ||||
\(75\) | 1.00502 | − | 0.580249i | 0.116050 | − | 0.0670014i | ||||
\(76\) | −14.2599 | + | 9.74193i | −1.63573 | + | 1.11748i | ||||
\(77\) | − | 7.80914i | − | 0.889934i | ||||||
\(78\) | 5.57601 | − | 1.98084i | 0.631359 | − | 0.224286i | ||||
\(79\) | −9.18672 | −1.03359 | −0.516793 | − | 0.856110i | \(-0.672874\pi\) | ||||
−0.516793 | + | 0.856110i | \(0.672874\pi\) | |||||||
\(80\) | −2.49984 | − | 3.12263i | −0.279491 | − | 0.349120i | ||||
\(81\) | 0.653525 | + | 1.13194i | 0.0726139 | + | 0.125771i | ||||
\(82\) | −0.257460 | + | 0.0795486i | −0.0284317 | + | 0.00878467i | ||||
\(83\) | −1.79420 | −0.196939 | −0.0984693 | − | 0.995140i | \(-0.531395\pi\) | ||||
−0.0984693 | + | 0.995140i | \(0.531395\pi\) | |||||||
\(84\) | −6.62668 | − | 3.18356i | −0.723030 | − | 0.347355i | ||||
\(85\) | −0.369228 | + | 0.639522i | −0.0400484 | + | 0.0693658i | ||||
\(86\) | 8.90422 | + | 8.25411i | 0.960166 | + | 0.890064i | ||||
\(87\) | −1.06704 | + | 1.84817i | −0.114399 | + | 0.198145i | ||||
\(88\) | 1.02957 | − | 6.89679i | 0.109753 | − | 0.735201i | ||||
\(89\) | 12.1943 | − | 7.04039i | 1.29260 | − | 0.746280i | 0.313482 | − | 0.949594i | \(-0.398505\pi\) |
0.979114 | + | 0.203314i | \(0.0651712\pi\) | |||||||
\(90\) | −1.58946 | + | 1.71465i | −0.167544 | + | 0.180740i | ||||
\(91\) | 10.1198 | + | 5.29332i | 1.06084 | + | 0.554890i | ||||
\(92\) | 0.873233 | + | 11.5072i | 0.0910409 | + | 1.19971i | ||||
\(93\) | −5.25638 | − | 9.10431i | −0.545061 | − | 0.944073i | ||||
\(94\) | 2.58754 | − | 11.3614i | 0.266885 | − | 1.17184i | ||||
\(95\) | 4.31749 | − | 7.47811i | 0.442965 | − | 0.767238i | ||||
\(96\) | −5.43275 | − | 3.68530i | −0.554478 | − | 0.376129i | ||||
\(97\) | −14.8416 | − | 8.56882i | −1.50694 | − | 0.870032i | −0.999967 | − | 0.00806860i | \(-0.997432\pi\) |
−0.506971 | − | 0.861963i | \(-0.669235\pi\) | |||||||
\(98\) | −1.26622 | − | 4.09813i | −0.127907 | − | 0.413973i | ||||
\(99\) | −4.07592 | −0.409645 | ||||||||
\(100\) | 1.80275 | + | 0.866072i | 0.180275 | + | 0.0866072i | ||||
\(101\) | −4.58812 | + | 2.64895i | −0.456535 | + | 0.263580i | −0.710586 | − | 0.703610i | \(-0.751570\pi\) |
0.254051 | + | 0.967191i | \(0.418237\pi\) | |||||||
\(102\) | −0.269128 | + | 1.18169i | −0.0266476 | + | 0.117005i | ||||
\(103\) | −7.06565 | −0.696199 | −0.348100 | − | 0.937458i | \(-0.613173\pi\) | ||||
−0.348100 | + | 0.937458i | \(0.613173\pi\) | |||||||
\(104\) | 8.23958 | + | 6.00910i | 0.807957 | + | 0.589241i | ||||
\(105\) | 3.67586 | 0.358728 | ||||||||
\(106\) | 1.31446 | − | 5.77154i | 0.127672 | − | 0.560581i | ||||
\(107\) | 10.2327 | − | 5.90788i | 0.989237 | − | 0.571136i | 0.0841908 | − | 0.996450i | \(-0.473169\pi\) |
0.905046 | + | 0.425313i | \(0.139836\pi\) | |||||||
\(108\) | −4.67686 | + | 9.73501i | −0.450031 | + | 0.936752i | ||||
\(109\) | −3.12953 | −0.299754 | −0.149877 | − | 0.988705i | \(-0.547888\pi\) | ||||
−0.149877 | + | 0.988705i | \(0.547888\pi\) | |||||||
\(110\) | 1.02926 | + | 3.33122i | 0.0981364 | + | 0.317620i | ||||
\(111\) | −2.72963 | − | 1.57595i | −0.259085 | − | 0.149583i | ||||
\(112\) | −1.91193 | − | 12.5249i | −0.180661 | − | 1.18349i | ||||
\(113\) | 9.72386 | − | 16.8422i | 0.914744 | − | 1.58438i | 0.107468 | − | 0.994209i | \(-0.465726\pi\) |
0.807276 | − | 0.590174i | \(-0.200941\pi\) | |||||||
\(114\) | 3.14699 | − | 13.8178i | 0.294743 | − | 1.29416i | ||||
\(115\) | −2.88507 | − | 4.99708i | −0.269034 | − | 0.465980i | ||||
\(116\) | −3.66733 | + | 0.278299i | −0.340503 | + | 0.0258394i | ||||
\(117\) | 2.76280 | − | 5.28193i | 0.255421 | − | 0.488314i | ||||
\(118\) | 11.0085 | − | 11.8756i | 1.01342 | − | 1.09323i | ||||
\(119\) | −2.02568 | + | 1.16953i | −0.185693 | + | 0.107210i | ||||
\(120\) | 3.24641 | + | 0.484633i | 0.296355 | + | 0.0442407i | ||||
\(121\) | 2.46089 | − | 4.26239i | 0.223717 | − | 0.387490i | ||||
\(122\) | −4.82677 | − | 4.47437i | −0.436996 | − | 0.405090i | ||||
\(123\) | 0.110563 | − | 0.191500i | 0.00996910 | − | 0.0172670i | ||||
\(124\) | 7.84559 | − | 16.3308i | 0.704555 | − | 1.46655i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −7.07567 | + | 2.18620i | −0.630351 | + | 0.194762i | ||||
\(127\) | −1.96907 | − | 3.41052i | −0.174726 | − | 0.302635i | 0.765340 | − | 0.643626i | \(-0.222571\pi\) |
−0.940067 | + | 0.340991i | \(0.889237\pi\) | |||||||
\(128\) | −0.0372585 | − | 11.3136i | −0.00329322 | − | 0.999995i | ||||
\(129\) | −9.96325 | −0.877215 | ||||||||
\(130\) | −5.01456 | − | 0.924215i | −0.439806 | − | 0.0810590i | ||||
\(131\) | 9.67553i | 0.845355i | 0.906280 | + | 0.422678i | \(0.138910\pi\) | ||||
−0.906280 | + | 0.422678i | \(0.861090\pi\) | |||||||
\(132\) | 3.22787 | + | 4.72486i | 0.280950 | + | 0.411247i | ||||
\(133\) | 23.6868 | − | 13.6756i | 2.05391 | − | 1.18582i | ||||
\(134\) | −1.39018 | − | 4.49934i | −0.120093 | − | 0.388684i | ||||
\(135\) | − | 5.40008i | − | 0.464765i | ||||||
\(136\) | −1.94321 | + | 0.765820i | −0.166629 | + | 0.0656685i | ||||
\(137\) | 13.2517 | + | 7.65088i | 1.13217 | + | 0.653659i | 0.944480 | − | 0.328569i | \(-0.106566\pi\) |
0.187691 | + | 0.982228i | \(0.439900\pi\) | |||||||
\(138\) | −6.94496 | − | 6.43790i | −0.591194 | − | 0.548031i | ||||
\(139\) | −7.64524 | − | 4.41398i | −0.648461 | − | 0.374389i | 0.139406 | − | 0.990235i | \(-0.455481\pi\) |
−0.787866 | + | 0.615846i | \(0.788814\pi\) | |||||||
\(140\) | 3.57354 | + | 5.23084i | 0.302019 | + | 0.442087i | ||||
\(141\) | 4.78093 | + | 8.28082i | 0.402627 | + | 0.697371i | ||||
\(142\) | 3.88825 | + | 3.60437i | 0.326295 | + | 0.302472i | ||||
\(143\) | −4.76139 | − | 7.50640i | −0.398168 | − | 0.627717i | ||||
\(144\) | −6.53725 | + | 0.997917i | −0.544771 | + | 0.0831597i | ||||
\(145\) | 1.59257 | − | 0.919468i | 0.132255 | − | 0.0763577i | ||||
\(146\) | −0.324380 | + | 1.42429i | −0.0268459 | + | 0.117875i | ||||
\(147\) | 3.04821 | + | 1.75988i | 0.251412 | + | 0.145153i | ||||
\(148\) | −0.411030 | − | 5.41642i | −0.0337864 | − | 0.445227i | ||||
\(149\) | 6.58106 | − | 11.3987i | 0.539141 | − | 0.933820i | −0.459809 | − | 0.888018i | \(-0.652082\pi\) |
0.998951 | − | 0.0458023i | \(-0.0145844\pi\) | |||||||
\(150\) | −1.56805 | + | 0.484488i | −0.128031 | + | 0.0395582i | ||||
\(151\) | 17.2918i | 1.40719i | 0.710602 | + | 0.703594i | \(0.248422\pi\) | ||||
−0.710602 | + | 0.703594i | \(0.751578\pi\) | |||||||
\(152\) | 22.7225 | − | 8.95495i | 1.84304 | − | 0.726342i | ||||
\(153\) | 0.610424 | + | 1.05729i | 0.0493499 | + | 0.0854765i | ||||
\(154\) | −2.45241 | + | 10.7681i | −0.197621 | + | 0.867715i | ||||
\(155\) | 9.05883i | 0.727623i | ||||||||
\(156\) | −8.31086 | + | 0.980277i | −0.665401 | + | 0.0784849i | ||||
\(157\) | 23.8530i | 1.90367i | 0.306603 | + | 0.951837i | \(0.400808\pi\) | ||||
−0.306603 | + | 0.951837i | \(0.599192\pi\) | |||||||
\(158\) | 12.6676 | + | 2.88503i | 1.00778 | + | 0.229521i | ||||
\(159\) | 2.42869 | + | 4.20661i | 0.192608 | + | 0.333606i | ||||
\(160\) | 2.46640 | + | 5.09086i | 0.194986 | + | 0.402468i | ||||
\(161\) | − | 18.2768i | − | 1.44042i | ||||||
\(162\) | −0.545671 | − | 1.76607i | −0.0428719 | − | 0.138756i | ||||
\(163\) | −1.04268 | + | 1.80598i | −0.0816692 | + | 0.141455i | −0.903967 | − | 0.427602i | \(-0.859358\pi\) |
0.822298 | + | 0.569057i | \(0.192692\pi\) | |||||||
\(164\) | 0.379995 | − | 0.0288362i | 0.0296726 | − | 0.00225173i | ||||
\(165\) | −2.47778 | − | 1.43055i | −0.192895 | − | 0.111368i | ||||
\(166\) | 2.47402 | + | 0.563455i | 0.192021 | + | 0.0437326i | ||||
\(167\) | −13.6936 | + | 7.90603i | −1.05965 | + | 0.611787i | −0.925334 | − | 0.379152i | \(-0.876216\pi\) |
−0.134312 | + | 0.990939i | \(0.542882\pi\) | |||||||
\(168\) | 8.13777 | + | 6.47089i | 0.627843 | + | 0.499240i | ||||
\(169\) | 12.9549 | − | 1.08212i | 0.996530 | − | 0.0832398i | ||||
\(170\) | 0.709967 | − | 0.765885i | 0.0544520 | − | 0.0587407i | ||||
\(171\) | −7.13786 | − | 12.3631i | −0.545846 | − | 0.945433i | ||||
\(172\) | −9.68591 | − | 14.1779i | −0.738544 | − | 1.08106i | ||||
\(173\) | −7.84473 | − | 4.52916i | −0.596424 | − | 0.344345i | 0.171210 | − | 0.985235i | \(-0.445232\pi\) |
−0.767633 | + | 0.640889i | \(0.778566\pi\) | |||||||
\(174\) | 2.05175 | − | 2.21335i | 0.155543 | − | 0.167794i | ||||
\(175\) | −2.74313 | − | 1.58374i | −0.207361 | − | 0.119720i | ||||
\(176\) | −3.58557 | + | 9.18669i | −0.270273 | + | 0.692473i | ||||
\(177\) | 13.2880i | 0.998786i | ||||||||
\(178\) | −19.0258 | + | 5.87848i | −1.42604 | + | 0.440611i | ||||
\(179\) | 9.85005 | − | 5.68693i | 0.736227 | − | 0.425061i | −0.0844689 | − | 0.996426i | \(-0.526919\pi\) |
0.820696 | + | 0.571365i | \(0.193586\pi\) | |||||||
\(180\) | 2.73020 | − | 1.86518i | 0.203497 | − | 0.139022i | ||||
\(181\) | − | 17.5350i | − | 1.30337i | −0.758490 | − | 0.651685i | \(-0.774063\pi\) | ||
0.758490 | − | 0.651685i | \(-0.225937\pi\) | |||||||
\(182\) | −12.2918 | − | 10.4770i | −0.911132 | − | 0.776608i | ||||
\(183\) | 5.40085 | 0.399242 | ||||||||
\(184\) | 2.40965 | − | 16.1415i | 0.177642 | − | 1.18997i | ||||
\(185\) | 1.35800 | + | 2.35212i | 0.0998420 | + | 0.172931i | ||||
\(186\) | 4.38889 | + | 14.2047i | 0.321809 | + | 1.04154i | ||||
\(187\) | 1.82059 | 0.133135 | ||||||||
\(188\) | −7.13595 | + | 14.8537i | −0.520443 | + | 1.08332i | ||||
\(189\) | 8.55235 | − | 14.8131i | 0.622092 | − | 1.07749i | ||||
\(190\) | −8.30185 | + | 8.95571i | −0.602280 | + | 0.649716i | ||||
\(191\) | 0.345693 | − | 0.598758i | 0.0250135 | − | 0.0433246i | −0.853248 | − | 0.521506i | \(-0.825370\pi\) |
0.878261 | + | 0.478181i | \(0.158704\pi\) | |||||||
\(192\) | 6.33390 | + | 6.78779i | 0.457110 | + | 0.489867i | ||||
\(193\) | 4.73055 | − | 2.73118i | 0.340512 | − | 0.196595i | −0.319986 | − | 0.947422i | \(-0.603678\pi\) |
0.660499 | + | 0.750827i | \(0.270345\pi\) | |||||||
\(194\) | 17.7742 | + | 16.4765i | 1.27611 | + | 1.18294i | ||||
\(195\) | 3.53336 | − | 2.24125i | 0.253029 | − | 0.160499i | ||||
\(196\) | 0.459001 | + | 6.04857i | 0.0327858 | + | 0.432041i | ||||
\(197\) | −6.97854 | − | 12.0872i | −0.497200 | − | 0.861176i | 0.502795 | − | 0.864406i | \(-0.332305\pi\) |
−0.999995 | + | 0.00322997i | \(0.998972\pi\) | |||||||
\(198\) | 5.62030 | + | 1.28001i | 0.399417 | + | 0.0909667i | ||||
\(199\) | −12.4653 | + | 21.5906i | −0.883644 | + | 1.53052i | −0.0363850 | + | 0.999338i | \(0.511584\pi\) |
−0.847259 | + | 0.531179i | \(0.821749\pi\) | |||||||
\(200\) | −2.21384 | − | 1.76037i | −0.156542 | − | 0.124477i | ||||
\(201\) | 3.34664 | + | 1.93218i | 0.236054 | + | 0.136286i | ||||
\(202\) | 7.15846 | − | 2.21178i | 0.503668 | − | 0.155620i | ||||
\(203\) | 5.82481 | 0.408821 | ||||||||
\(204\) | 0.742203 | − | 1.54492i | 0.0519646 | − | 0.108166i | ||||
\(205\) | −0.165016 | + | 0.0952718i | −0.0115252 | + | 0.00665407i | ||||
\(206\) | 9.74286 | + | 2.21892i | 0.678817 | + | 0.154600i | ||||
\(207\) | −9.53944 | −0.663037 | ||||||||
\(208\) | −9.47447 | − | 10.8736i | −0.656937 | − | 0.753946i | ||||
\(209\) | −21.2887 | −1.47257 | ||||||||
\(210\) | −5.06866 | − | 1.15438i | −0.349771 | − | 0.0796599i | ||||
\(211\) | 7.96783 | − | 4.60023i | 0.548528 | − | 0.316693i | −0.200000 | − | 0.979796i | \(-0.564094\pi\) |
0.748528 | + | 0.663103i | \(0.230761\pi\) | |||||||
\(212\) | −3.62503 | + | 7.54560i | −0.248968 | + | 0.518234i | ||||
\(213\) | −4.35071 | −0.298106 | ||||||||
\(214\) | −15.9653 | + | 4.93287i | −1.09137 | + | 0.337204i | ||||
\(215\) | 7.43510 | + | 4.29266i | 0.507070 | + | 0.292757i | ||||
\(216\) | 9.50615 | − | 11.9549i | 0.646812 | − | 0.813429i | ||||
\(217\) | −14.3469 | + | 24.8495i | −0.973929 | + | 1.68689i | ||||
\(218\) | 4.31532 | + | 0.982807i | 0.292270 | + | 0.0665641i | ||||
\(219\) | −0.599347 | − | 1.03810i | −0.0405001 | − | 0.0701483i | ||||
\(220\) | −0.373106 | − | 4.91667i | −0.0251548 | − | 0.331482i | ||||
\(221\) | −1.23406 | + | 2.35928i | −0.0830121 | + | 0.158702i | ||||
\(222\) | 3.26898 | + | 3.03031i | 0.219400 | + | 0.203381i | ||||
\(223\) | 3.64597 | − | 2.10500i | 0.244152 | − | 0.140961i | −0.372932 | − | 0.927859i | \(-0.621647\pi\) |
0.617084 | + | 0.786898i | \(0.288314\pi\) | |||||||
\(224\) | −1.29698 | + | 17.8710i | −0.0866582 | + | 1.19406i | ||||
\(225\) | −0.826622 | + | 1.43175i | −0.0551081 | + | 0.0954501i | ||||
\(226\) | −18.6975 | + | 20.1701i | −1.24374 | + | 1.34169i | ||||
\(227\) | −4.37813 | + | 7.58314i | −0.290587 | + | 0.503311i | −0.973949 | − | 0.226769i | \(-0.927184\pi\) |
0.683362 | + | 0.730080i | \(0.260517\pi\) | |||||||
\(228\) | −8.67879 | + | 18.0652i | −0.574767 | + | 1.19639i | ||||
\(229\) | 22.6655 | 1.49778 | 0.748889 | − | 0.662696i | \(-0.230588\pi\) | ||||
0.748889 | + | 0.662696i | \(0.230588\pi\) | |||||||
\(230\) | 2.40893 | + | 7.79654i | 0.158840 | + | 0.514088i | ||||
\(231\) | −4.53125 | − | 7.84835i | −0.298134 | − | 0.516383i | ||||
\(232\) | 5.14429 | + | 0.767953i | 0.337739 | + | 0.0504186i | ||||
\(233\) | −16.3316 | −1.06992 | −0.534960 | − | 0.844877i | \(-0.679673\pi\) | ||||
−0.534960 | + | 0.844877i | \(0.679673\pi\) | |||||||
\(234\) | −5.46839 | + | 6.41563i | −0.357480 | + | 0.419403i | ||||
\(235\) | − | 8.23945i | − | 0.537482i | ||||||
\(236\) | −18.9091 | + | 12.9181i | −1.23088 | + | 0.840897i | ||||
\(237\) | −9.23284 | + | 5.33059i | −0.599738 | + | 0.346259i | ||||
\(238\) | 3.16050 | − | 0.976512i | 0.204865 | − | 0.0632979i | ||||
\(239\) | − | 6.36009i | − | 0.411400i | −0.978615 | − | 0.205700i | \(-0.934053\pi\) | ||
0.978615 | − | 0.205700i | \(-0.0659471\pi\) | |||||||
\(240\) | −4.32429 | − | 1.68778i | −0.279132 | − | 0.108945i | ||||
\(241\) | 10.6580 | + | 6.15341i | 0.686543 | + | 0.396376i | 0.802316 | − | 0.596900i | \(-0.203601\pi\) |
−0.115772 | + | 0.993276i | \(0.536934\pi\) | |||||||
\(242\) | −4.73191 | + | 5.10460i | −0.304178 | + | 0.328136i | ||||
\(243\) | −12.7162 | − | 7.34171i | −0.815745 | − | 0.470971i | ||||
\(244\) | 5.25051 | + | 7.68554i | 0.336130 | + | 0.492016i | ||||
\(245\) | −1.51649 | − | 2.62664i | −0.0968850 | − | 0.167810i | ||||
\(246\) | −0.212595 | + | 0.229339i | −0.0135545 | + | 0.0146221i | ||||
\(247\) | 14.4303 | − | 27.5878i | 0.918175 | − | 1.75537i | ||||
\(248\) | −15.9469 | + | 20.0548i | −1.01263 | + | 1.27348i | ||||
\(249\) | −1.80320 | + | 1.04108i | −0.114273 | + | 0.0659758i | ||||
\(250\) | 1.37890 | + | 0.314043i | 0.0872096 | + | 0.0198619i | ||||
\(251\) | −6.06987 | − | 3.50444i | −0.383127 | − | 0.221198i | 0.296051 | − | 0.955172i | \(-0.404330\pi\) |
−0.679178 | + | 0.733974i | \(0.737663\pi\) | |||||||
\(252\) | 10.4432 | − | 0.792495i | 0.657862 | − | 0.0499225i | ||||
\(253\) | −7.11286 | + | 12.3198i | −0.447182 | + | 0.774541i | ||||
\(254\) | 1.64410 | + | 5.32116i | 0.103160 | + | 0.333879i | ||||
\(255\) | 0.856977i | 0.0536660i | ||||||||
\(256\) | −3.50160 | + | 15.6121i | −0.218850 | + | 0.975759i | ||||
\(257\) | 9.24502 | + | 16.0128i | 0.576688 | + | 0.998854i | 0.995856 | + | 0.0909446i | \(0.0289886\pi\) |
−0.419168 | + | 0.907909i | \(0.637678\pi\) | |||||||
\(258\) | 13.7384 | + | 3.12889i | 0.855313 | + | 0.194796i | ||||
\(259\) | 8.60288i | 0.534557i | ||||||||
\(260\) | 6.62436 | + | 2.84919i | 0.410825 | + | 0.176700i | ||||
\(261\) | − | 3.04021i | − | 0.188184i | ||||||
\(262\) | 3.03854 | − | 13.3416i | 0.187722 | − | 0.824249i | ||||
\(263\) | 13.1616 | + | 22.7966i | 0.811581 | + | 1.40570i | 0.911757 | + | 0.410730i | \(0.134726\pi\) |
−0.100176 | + | 0.994970i | \(0.531941\pi\) | |||||||
\(264\) | −2.96712 | − | 7.52883i | −0.182613 | − | 0.463367i | ||||
\(265\) | − | 4.18560i | − | 0.257119i | ||||||
\(266\) | −36.9566 | + | 11.4186i | −2.26595 | + | 0.700122i | ||||
\(267\) | 8.17036 | − | 14.1515i | 0.500018 | − | 0.866057i | ||||
\(268\) | 0.503939 | + | 6.64074i | 0.0307830 | + | 0.405648i | ||||
\(269\) | −4.45389 | − | 2.57145i | −0.271558 | − | 0.156784i | 0.358037 | − | 0.933707i | \(-0.383446\pi\) |
−0.629596 | + | 0.776923i | \(0.716779\pi\) | |||||||
\(270\) | −1.69586 | + | 7.44619i | −0.103207 | + | 0.453161i | ||||
\(271\) | 19.4600 | − | 11.2352i | 1.18211 | − | 0.682493i | 0.225610 | − | 0.974218i | \(-0.427563\pi\) |
0.956502 | + | 0.291725i | \(0.0942293\pi\) | |||||||
\(272\) | 2.92000 | − | 0.445740i | 0.177051 | − | 0.0270270i | ||||
\(273\) | 13.2420 | − | 0.552089i | 0.801443 | − | 0.0334139i | ||||
\(274\) | −15.8701 | − | 14.7114i | −0.958750 | − | 0.888751i | ||||
\(275\) | 1.23270 | + | 2.13510i | 0.0743348 | + | 0.128752i | ||||
\(276\) | 7.55465 | + | 11.0583i | 0.454737 | + | 0.665630i | ||||
\(277\) | −4.75235 | − | 2.74377i | −0.285541 | − | 0.164857i | 0.350388 | − | 0.936605i | \(-0.386050\pi\) |
−0.635929 | + | 0.771747i | \(0.719383\pi\) | |||||||
\(278\) | 9.15587 | + | 8.48739i | 0.549133 | + | 0.509040i | ||||
\(279\) | 12.9700 | + | 7.48823i | 0.776493 | + | 0.448308i | ||||
\(280\) | −3.28486 | − | 8.33508i | −0.196308 | − | 0.498116i | ||||
\(281\) | 6.19365i | 0.369482i | 0.982787 | + | 0.184741i | \(0.0591447\pi\) | ||||
−0.982787 | + | 0.184741i | \(0.940855\pi\) | |||||||
\(282\) | −3.99191 | − | 12.9199i | −0.237715 | − | 0.769367i | ||||
\(283\) | 16.8496 | − | 9.72811i | 1.00160 | − | 0.578276i | 0.0928810 | − | 0.995677i | \(-0.470392\pi\) |
0.908722 | + | 0.417401i | \(0.137059\pi\) | |||||||
\(284\) | −4.22960 | − | 6.19116i | −0.250981 | − | 0.367378i | ||||
\(285\) | − | 10.0209i | − | 0.593585i | ||||||
\(286\) | 4.20817 | + | 11.8459i | 0.248834 | + | 0.700462i | ||||
\(287\) | −0.603545 | −0.0356261 | ||||||||
\(288\) | 9.32763 | + | 0.676948i | 0.549636 | + | 0.0398896i | ||||
\(289\) | 8.22734 | + | 14.2502i | 0.483961 | + | 0.838245i | ||||
\(290\) | −2.48475 | + | 0.767724i | −0.145909 | + | 0.0450823i | ||||
\(291\) | −19.8882 | −1.16587 | ||||||||
\(292\) | 0.894577 | − | 1.86209i | 0.0523512 | − | 0.108970i | ||||
\(293\) | −16.3593 | + | 28.3351i | −0.955721 | + | 1.65536i | −0.223011 | + | 0.974816i | \(0.571588\pi\) |
−0.732710 | + | 0.680541i | \(0.761745\pi\) | |||||||
\(294\) | −3.65051 | − | 3.38398i | −0.212902 | − | 0.197358i | ||||
\(295\) | 5.72512 | − | 9.91620i | 0.333329 | − | 0.577343i | ||||
\(296\) | −1.13422 | + | 7.59780i | −0.0659252 | + | 0.441613i | ||||
\(297\) | −11.5297 | + | 6.65669i | −0.669023 | + | 0.386260i | ||||
\(298\) | −12.6543 | + | 13.6510i | −0.733046 | + | 0.790782i | ||||
\(299\) | −11.1438 | − | 17.5683i | −0.644460 | − | 1.01600i | ||||
\(300\) | 2.31434 | − | 0.175626i | 0.133619 | − | 0.0101398i | ||||
\(301\) | 13.5969 | + | 23.5506i | 0.783715 | + | 1.35743i | ||||
\(302\) | 5.43038 | − | 23.8437i | 0.312483 | − | 1.37205i | ||||
\(303\) | −3.07410 | + | 5.32450i | −0.176603 | + | 0.305885i | ||||
\(304\) | −34.1444 | + | 5.21217i | −1.95831 | + | 0.298938i | ||||
\(305\) | −4.03040 | − | 2.32695i | −0.230780 | − | 0.133241i | ||||
\(306\) | −0.509683 | − | 1.64959i | −0.0291366 | − | 0.0943011i | ||||
\(307\) | 21.1733 | 1.20842 | 0.604212 | − | 0.796824i | \(-0.293488\pi\) | ||||
0.604212 | + | 0.796824i | \(0.293488\pi\) | |||||||
\(308\) | 6.76327 | − | 14.0780i | 0.385373 | − | 0.802166i | ||||
\(309\) | −7.10113 | + | 4.09984i | −0.403969 | + | 0.233232i | ||||
\(310\) | 2.84487 | − | 12.4913i | 0.161577 | − | 0.709456i | ||||
\(311\) | 17.0756 | 0.968271 | 0.484136 | − | 0.874993i | \(-0.339134\pi\) | ||||
0.484136 | + | 0.874993i | \(0.339134\pi\) | |||||||
\(312\) | 11.7677 | + | 1.25826i | 0.666216 | + | 0.0712351i | ||||
\(313\) | −25.0633 | −1.41666 | −0.708330 | − | 0.705881i | \(-0.750551\pi\) | ||||
−0.708330 | + | 0.705881i | \(0.750551\pi\) | |||||||
\(314\) | 7.49087 | − | 32.8910i | 0.422734 | − | 1.85614i | ||||
\(315\) | −4.53506 | + | 2.61832i | −0.255521 | + | 0.147525i | ||||
\(316\) | −16.5614 | − | 7.95636i | −0.931651 | − | 0.447580i | ||||
\(317\) | −18.2387 | −1.02439 | −0.512195 | − | 0.858869i | \(-0.671167\pi\) | ||||
−0.512195 | + | 0.858869i | \(0.671167\pi\) | |||||||
\(318\) | −2.02787 | − | 6.56323i | −0.113717 | − | 0.368048i | ||||
\(319\) | −3.92632 | − | 2.26686i | −0.219832 | − | 0.126920i | ||||
\(320\) | −1.80218 | − | 7.79437i | −0.100745 | − | 0.435718i | ||||
\(321\) | 6.85608 | − | 11.8751i | 0.382669 | − | 0.662802i | ||||
\(322\) | −5.73972 | + | 25.2020i | −0.319862 | + | 1.40445i | ||||
\(323\) | 3.18827 | + | 5.52225i | 0.177400 | + | 0.307266i | ||||
\(324\) | 0.197805 | + | 2.60661i | 0.0109892 | + | 0.144811i | ||||
\(325\) | −3.60242 | + | 0.150193i | −0.199826 | + | 0.00833121i | ||||
\(326\) | 2.00492 | − | 2.16282i | 0.111042 | − | 0.119788i | ||||
\(327\) | −3.14524 | + | 1.81590i | −0.173932 | + | 0.100420i | ||||
\(328\) | −0.533032 | − | 0.0795724i | −0.0294318 | − | 0.00439365i | ||||
\(329\) | 13.0492 | − | 22.6018i | 0.719424 | − | 1.24608i | ||||
\(330\) | 2.96737 | + | 2.75072i | 0.163348 | + | 0.151422i | ||||
\(331\) | −13.4517 | + | 23.2990i | −0.739371 | + | 1.28063i | 0.213409 | + | 0.976963i | \(0.431543\pi\) |
−0.952779 | + | 0.303664i | \(0.901790\pi\) | |||||||
\(332\) | −3.23449 | − | 1.55390i | −0.177516 | − | 0.0852814i | ||||
\(333\) | 4.49020 | 0.246062 | ||||||||
\(334\) | 21.3651 | − | 6.60126i | 1.16904 | − | 0.361205i | ||||
\(335\) | −1.66496 | − | 2.88379i | −0.0909664 | − | 0.157558i | ||||
\(336\) | −9.18907 | − | 11.4784i | −0.501305 | − | 0.626195i | ||||
\(337\) | 3.00972 | 0.163950 | 0.0819750 | − | 0.996634i | \(-0.473877\pi\) | ||||
0.0819750 | + | 0.996634i | \(0.473877\pi\) | |||||||
\(338\) | −18.2034 | − | 2.57626i | −0.990133 | − | 0.140130i | ||||
\(339\) | − | 22.5690i | − | 1.22578i | ||||||
\(340\) | −1.21950 | + | 0.833122i | −0.0661366 | + | 0.0451824i | ||||
\(341\) | 19.3415 | − | 11.1668i | 1.04740 | − | 0.604718i | ||||
\(342\) | 5.95986 | + | 19.2892i | 0.322273 | + | 1.04304i | ||||
\(343\) | 12.5655i | 0.678472i | ||||||||
\(344\) | 8.90345 | + | 22.5918i | 0.480042 | + | 1.21807i | ||||
\(345\) | −5.79911 | − | 3.34812i | −0.312213 | − | 0.180256i | ||||
\(346\) | 9.39478 | + | 8.70886i | 0.505066 | + | 0.468191i | ||||
\(347\) | 2.24508 | + | 1.29620i | 0.120522 | + | 0.0695836i | 0.559049 | − | 0.829134i | \(-0.311166\pi\) |
−0.438527 | + | 0.898718i | \(0.644500\pi\) | |||||||
\(348\) | −3.52426 | + | 2.40766i | −0.188920 | + | 0.129064i | ||||
\(349\) | 9.78948 | + | 16.9559i | 0.524019 | + | 0.907627i | 0.999609 | + | 0.0279603i | \(0.00890119\pi\) |
−0.475590 | + | 0.879667i | \(0.657765\pi\) | |||||||
\(350\) | 3.28514 | + | 3.04529i | 0.175598 | + | 0.162778i | ||||
\(351\) | −0.811054 | − | 19.4534i | −0.0432909 | − | 1.03834i | ||||
\(352\) | 7.82918 | − | 11.5415i | 0.417297 | − | 0.615166i | ||||
\(353\) | −4.69869 | + | 2.71279i | −0.250086 | + | 0.144387i | −0.619804 | − | 0.784757i | \(-0.712788\pi\) |
0.369718 | + | 0.929144i | \(0.379454\pi\) | |||||||
\(354\) | 4.17300 | − | 18.3229i | 0.221793 | − | 0.973849i | ||||
\(355\) | 3.24673 | + | 1.87450i | 0.172319 | + | 0.0994881i | ||||
\(356\) | 28.0808 | − | 2.13094i | 1.48828 | − | 0.112940i | ||||
\(357\) | −1.35723 | + | 2.35079i | −0.0718323 | + | 0.124417i | ||||
\(358\) | −15.3682 | + | 4.74838i | −0.812235 | + | 0.250960i | ||||
\(359\) | 24.1177i | 1.27288i | 0.771325 | + | 0.636442i | \(0.219594\pi\) | ||||
−0.771325 | + | 0.636442i | \(0.780406\pi\) | |||||||
\(360\) | −4.35043 | + | 1.71451i | −0.229288 | + | 0.0903624i | ||||
\(361\) | −27.7814 | − | 48.1188i | −1.46218 | − | 2.53257i | ||||
\(362\) | −5.50676 | + | 24.1791i | −0.289429 | + | 1.27083i | ||||
\(363\) | − | 5.71172i | − | 0.299787i | ||||||
\(364\) | 13.6590 | + | 18.3070i | 0.715928 | + | 0.959547i | ||||
\(365\) | 1.03291i | 0.0540652i | ||||||||
\(366\) | −7.44726 | − | 1.69610i | −0.389274 | − | 0.0886567i | ||||
\(367\) | −1.11654 | − | 1.93390i | −0.0582827 | − | 0.100949i | 0.835412 | − | 0.549624i | \(-0.185229\pi\) |
−0.893695 | + | 0.448676i | \(0.851896\pi\) | |||||||
\(368\) | −8.39182 | + | 21.5009i | −0.437454 | + | 1.12081i | ||||
\(369\) | 0.315015i | 0.0163990i | ||||||||
\(370\) | −1.13388 | − | 3.66982i | −0.0589476 | − | 0.190785i | ||||
\(371\) | 6.62892 | − | 11.4816i | 0.344156 | − | 0.596096i | ||||
\(372\) | −1.59097 | − | 20.9652i | −0.0824877 | − | 1.08700i | ||||
\(373\) | 11.6773 | + | 6.74188i | 0.604627 | + | 0.349082i | 0.770860 | − | 0.637005i | \(-0.219827\pi\) |
−0.166233 | + | 0.986087i | \(0.553160\pi\) | |||||||
\(374\) | −2.51042 | − | 0.571745i | −0.129811 | − | 0.0295642i | ||||
\(375\) | −1.00502 | + | 0.580249i | −0.0518991 | + | 0.0299639i | ||||
\(376\) | 14.5045 | − | 18.2408i | 0.748012 | − | 0.940698i | ||||
\(377\) | 5.59900 | − | 3.55150i | 0.288363 | − | 0.182912i | ||||
\(378\) | −16.4448 | + | 17.7400i | −0.845830 | + | 0.912449i | ||||
\(379\) | −3.05975 | − | 5.29964i | −0.157169 | − | 0.272224i | 0.776678 | − | 0.629898i | \(-0.216903\pi\) |
−0.933847 | + | 0.357674i | \(0.883570\pi\) | |||||||
\(380\) | 14.2599 | − | 9.74193i | 0.731520 | − | 0.499750i | ||||
\(381\) | −3.95791 | − | 2.28510i | −0.202770 | − | 0.117069i | ||||
\(382\) | −0.664714 | + | 0.717068i | −0.0340097 | + | 0.0366884i | ||||
\(383\) | 18.3627 | + | 10.6017i | 0.938292 | + | 0.541723i | 0.889424 | − | 0.457082i | \(-0.151106\pi\) |
0.0488673 | + | 0.998805i | \(0.484439\pi\) | |||||||
\(384\) | −6.60218 | − | 11.3488i | −0.336916 | − | 0.579143i | ||||
\(385\) | 7.80914i | 0.397991i | ||||||||
\(386\) | −7.38068 | + | 2.28044i | −0.375667 | + | 0.116071i | ||||
\(387\) | 12.2920 | − | 7.09681i | 0.624840 | − | 0.360751i | ||||
\(388\) | −19.3346 | − | 28.3014i | −0.981565 | − | 1.43678i | ||||
\(389\) | − | 8.17552i | − | 0.414515i | −0.978286 | − | 0.207258i | \(-0.933546\pi\) | ||
0.978286 | − | 0.207258i | \(-0.0664539\pi\) | |||||||
\(390\) | −5.57601 | + | 1.98084i | −0.282352 | + | 0.100304i | ||||
\(391\) | 4.26099 | 0.215488 | ||||||||
\(392\) | 1.26660 | − | 8.48455i | 0.0639727 | − | 0.428534i | ||||
\(393\) | 5.61422 | + | 9.72411i | 0.283200 | + | 0.490517i | ||||
\(394\) | 5.82683 | + | 18.8586i | 0.293552 | + | 0.950084i | ||||
\(395\) | 9.18672 | 0.462234 | ||||||||
\(396\) | −7.34787 | − | 3.53004i | −0.369244 | − | 0.177391i | ||||
\(397\) | −1.33438 | + | 2.31122i | −0.0669707 | + | 0.115997i | −0.897566 | − | 0.440879i | \(-0.854667\pi\) |
0.830596 | + | 0.556876i | \(0.188000\pi\) | |||||||
\(398\) | 23.9689 | − | 25.8567i | 1.20145 | − | 1.29608i | ||||
\(399\) | 15.8705 | − | 27.4885i | 0.794519 | − | 1.37615i | ||||
\(400\) | 2.49984 | + | 3.12263i | 0.124992 | + | 0.156131i | ||||
\(401\) | 7.61683 | − | 4.39758i | 0.380367 | − | 0.219605i | −0.297611 | − | 0.954687i | \(-0.596190\pi\) |
0.677978 | + | 0.735082i | \(0.262857\pi\) | |||||||
\(402\) | −4.00790 | − | 3.71528i | −0.199896 | − | 0.185301i | ||||
\(403\) | 1.36057 | + | 32.6337i | 0.0677749 | + | 1.62560i | ||||
\(404\) | −10.5654 | + | 0.801767i | −0.525650 | + | 0.0398894i | ||||
\(405\) | −0.653525 | − | 1.13194i | −0.0324739 | − | 0.0562465i | ||||
\(406\) | −8.03185 | − | 1.82924i | −0.398614 | − | 0.0907838i | ||||
\(407\) | 3.34801 | − | 5.79893i | 0.165955 | − | 0.287442i | ||||
\(408\) | −1.50860 | + | 1.89721i | −0.0746867 | + | 0.0939258i | ||||
\(409\) | 8.07460 | + | 4.66187i | 0.399263 | + | 0.230515i | 0.686166 | − | 0.727445i | \(-0.259292\pi\) |
−0.286903 | + | 0.957960i | \(0.592626\pi\) | |||||||
\(410\) | 0.257460 | − | 0.0795486i | 0.0127151 | − | 0.00392863i | ||||
\(411\) | 17.7577 | 0.875921 | ||||||||
\(412\) | −12.7376 | − | 6.11936i | −0.627538 | − | 0.301479i | ||||
\(413\) | 31.4094 | − | 18.1343i | 1.54556 | − | 0.892328i | ||||
\(414\) | 13.1540 | + | 2.99580i | 0.646483 | + | 0.147236i | ||||
\(415\) | 1.79420 | 0.0880736 | ||||||||
\(416\) | 9.64962 | + | 17.9690i | 0.473112 | + | 0.881002i | ||||
\(417\) | −10.2448 | −0.501692 | ||||||||
\(418\) | 29.3551 | + | 6.68558i | 1.43580 | + | 0.327002i | ||||
\(419\) | −30.8485 | + | 17.8104i | −1.50705 | + | 0.870094i | −0.507081 | + | 0.861898i | \(0.669276\pi\) |
−0.999966 | + | 0.00819632i | \(0.997391\pi\) | |||||||
\(420\) | 6.62668 | + | 3.18356i | 0.323349 | + | 0.155342i | ||||
\(421\) | 0.743378 | 0.0362300 | 0.0181150 | − | 0.999836i | \(-0.494233\pi\) | ||||
0.0181150 | + | 0.999836i | \(0.494233\pi\) | |||||||
\(422\) | −12.4315 | + | 3.84103i | −0.605158 | + | 0.186978i | ||||
\(423\) | −11.7968 | − | 6.81091i | −0.573582 | − | 0.331158i | ||||
\(424\) | 7.36821 | − | 9.26625i | 0.357832 | − | 0.450009i | ||||
\(425\) | 0.369228 | − | 0.639522i | 0.0179102 | − | 0.0310214i | ||||
\(426\) | 5.99921 | + | 1.36631i | 0.290663 | + | 0.0661980i | ||||
\(427\) | −7.37060 | − | 12.7663i | −0.356688 | − | 0.617802i | ||||
\(428\) | 23.5638 | − | 1.78816i | 1.13900 | − | 0.0864339i | ||||
\(429\) | −9.14088 | − | 4.78129i | −0.441326 | − | 0.230843i | ||||
\(430\) | −8.90422 | − | 8.25411i | −0.429399 | − | 0.398049i | ||||
\(431\) | 11.7483 | − | 6.78289i | 0.565896 | − | 0.326720i | −0.189612 | − | 0.981859i | \(-0.560723\pi\) |
0.755509 | + | 0.655139i | \(0.227390\pi\) | |||||||
\(432\) | −16.8624 | + | 13.4993i | −0.811294 | + | 0.649487i | ||||
\(433\) | −12.9676 | + | 22.4605i | −0.623182 | + | 1.07938i | 0.365707 | + | 0.930730i | \(0.380827\pi\) |
−0.988889 | + | 0.148653i | \(0.952506\pi\) | |||||||
\(434\) | 27.5868 | − | 29.7595i | 1.32421 | − | 1.42850i | ||||
\(435\) | 1.06704 | − | 1.84817i | 0.0511607 | − | 0.0886129i | ||||
\(436\) | −5.64176 | − | 2.71039i | −0.270191 | − | 0.129804i | ||||
\(437\) | −49.8250 | −2.38345 | ||||||||
\(438\) | 0.500434 | + | 1.61966i | 0.0239117 | + | 0.0773904i | ||||
\(439\) | 1.85839 | + | 3.21883i | 0.0886962 | + | 0.153626i | 0.906960 | − | 0.421216i | \(-0.138397\pi\) |
−0.818264 | + | 0.574843i | \(0.805063\pi\) | |||||||
\(440\) | −1.02957 | + | 6.89679i | −0.0490829 | + | 0.328792i | ||||
\(441\) | −5.01426 | −0.238774 | ||||||||
\(442\) | 2.44257 | − | 2.86567i | 0.116181 | − | 0.136306i | ||||
\(443\) | 1.77030i | 0.0841096i | 0.999115 | + | 0.0420548i | \(0.0133904\pi\) | ||||
−0.999115 | + | 0.0420548i | \(0.986610\pi\) | |||||||
\(444\) | −3.55596 | − | 5.20511i | −0.168759 | − | 0.247024i | ||||
\(445\) | −12.1943 | + | 7.04039i | −0.578066 | + | 0.333747i | ||||
\(446\) | −5.68850 | + | 1.75760i | −0.269358 | + | 0.0832248i | ||||
\(447\) | − | 15.2746i | − | 0.722464i | ||||||
\(448\) | 7.40069 | − | 24.2351i | 0.349650 | − | 1.14500i | ||||
\(449\) | −24.6942 | − | 14.2572i | −1.16539 | − | 0.672838i | −0.212800 | − | 0.977096i | \(-0.568258\pi\) |
−0.952590 | + | 0.304258i | \(0.901592\pi\) | |||||||
\(450\) | 1.58946 | − | 1.71465i | 0.0749281 | − | 0.0808295i | ||||
\(451\) | 0.406830 | + | 0.234884i | 0.0191569 | + | 0.0110602i | ||||
\(452\) | 32.1163 | − | 21.9408i | 1.51062 | − | 1.03201i | ||||
\(453\) | 10.0336 | + | 17.3786i | 0.471418 | + | 0.816519i | ||||
\(454\) | 8.41846 | − | 9.08151i | 0.395098 | − | 0.426216i | ||||
\(455\) | −10.1198 | − | 5.29332i | −0.474422 | − | 0.248154i | ||||
\(456\) | 17.6405 | − | 22.1846i | 0.826091 | − | 1.03889i | ||||
\(457\) | −27.5901 | + | 15.9291i | −1.29061 | + | 0.745133i | −0.978762 | − | 0.204999i | \(-0.934281\pi\) |
−0.311846 | + | 0.950133i | \(0.600947\pi\) | |||||||
\(458\) | −31.2535 | − | 7.11795i | −1.46038 | − | 0.332600i | ||||
\(459\) | 3.45347 | + | 1.99386i | 0.161194 | + | 0.0930654i | ||||
\(460\) | −0.873233 | − | 11.5072i | −0.0407147 | − | 0.536525i | ||||
\(461\) | 4.12121 | − | 7.13815i | 0.191944 | − | 0.332457i | −0.753950 | − | 0.656931i | \(-0.771854\pi\) |
0.945894 | + | 0.324474i | \(0.105187\pi\) | |||||||
\(462\) | 3.78343 | + | 12.2451i | 0.176021 | + | 0.569695i | ||||
\(463\) | − | 13.2846i | − | 0.617390i | −0.951161 | − | 0.308695i | \(-0.900108\pi\) | ||
0.951161 | − | 0.308695i | \(-0.0998922\pi\) | |||||||
\(464\) | −6.85232 | − | 2.67447i | −0.318111 | − | 0.124159i | ||||
\(465\) | 5.25638 | + | 9.10431i | 0.243759 | + | 0.422202i | ||||
\(466\) | 22.5198 | + | 5.12884i | 1.04321 | + | 0.237589i | ||||
\(467\) | − | 3.38808i | − | 0.156782i | −0.996923 | − | 0.0783909i | \(-0.975022\pi\) | ||
0.996923 | − | 0.0783909i | \(-0.0249782\pi\) | |||||||
\(468\) | 9.55518 | − | 7.12922i | 0.441688 | − | 0.329549i | ||||
\(469\) | − | 10.5475i | − | 0.487037i | ||||||
\(470\) | −2.58754 | + | 11.3614i | −0.119355 | + | 0.524063i | ||||
\(471\) | 13.8407 | + | 23.9727i | 0.637744 | + | 1.10461i | ||||
\(472\) | 30.1307 | − | 11.8745i | 1.38688 | − | 0.546570i | ||||
\(473\) | − | 21.1663i | − | 0.973227i | ||||||
\(474\) | 14.4052 | − | 4.45085i | 0.661655 | − | 0.204434i | ||||
\(475\) | −4.31749 | + | 7.47811i | −0.198100 | + | 0.343119i | ||||
\(476\) | −4.66469 | + | 0.353984i | −0.213806 | + | 0.0162248i | ||||
\(477\) | −5.99274 | − | 3.45991i | −0.274389 | − | 0.158418i | ||||
\(478\) | −1.99735 | + | 8.76996i | −0.0913565 | + | 0.401129i | ||||
\(479\) | −29.5093 | + | 17.0372i | −1.34832 | + | 0.778450i | −0.988011 | − | 0.154385i | \(-0.950660\pi\) |
−0.360304 | + | 0.932835i | \(0.617327\pi\) | |||||||
\(480\) | 5.43275 | + | 3.68530i | 0.247970 | + | 0.168210i | ||||
\(481\) | 5.24535 | + | 8.26937i | 0.239168 | + | 0.377051i | ||||
\(482\) | −12.7639 | − | 11.8320i | −0.581382 | − | 0.538935i | ||||
\(483\) | −10.6051 | − | 18.3686i | −0.482550 | − | 0.835800i | ||||
\(484\) | 8.12791 | − | 5.55272i | 0.369450 | − | 0.252397i | ||||
\(485\) | 14.8416 | + | 8.56882i | 0.673924 | + | 0.389090i | ||||
\(486\) | 15.2288 | + | 14.1170i | 0.690793 | + | 0.640358i | ||||
\(487\) | 8.92075 | + | 5.15040i | 0.404238 | + | 0.233387i | 0.688311 | − | 0.725416i | \(-0.258352\pi\) |
−0.284073 | + | 0.958803i | \(0.591686\pi\) | |||||||
\(488\) | −4.82636 | − | 12.2465i | −0.218479 | − | 0.554374i | ||||
\(489\) | 2.42006i | 0.109439i | ||||||||
\(490\) | 1.26622 | + | 4.09813i | 0.0572018 | + | 0.185134i | ||||
\(491\) | 8.22556 | − | 4.74903i | 0.371214 | − | 0.214321i | −0.302774 | − | 0.953062i | \(-0.597913\pi\) |
0.673989 | + | 0.738742i | \(0.264580\pi\) | |||||||
\(492\) | 0.365170 | − | 0.249473i | 0.0164631 | − | 0.0112471i | ||||
\(493\) | 1.35797i | 0.0611600i | ||||||||
\(494\) | −28.5617 | + | 33.5091i | −1.28505 | + | 1.50765i | ||||
\(495\) | 4.07592 | 0.183199 | ||||||||
\(496\) | 28.2873 | − | 22.6456i | 1.27014 | − | 1.01682i | ||||
\(497\) | 5.93746 | + | 10.2840i | 0.266331 | + | 0.461299i | ||||
\(498\) | 2.81339 | − | 0.869265i | 0.126071 | − | 0.0389527i | ||||
\(499\) | 23.3056 | 1.04330 | 0.521652 | − | 0.853158i | \(-0.325316\pi\) | ||||
0.521652 | + | 0.853158i | \(0.325316\pi\) | |||||||
\(500\) | −1.80275 | − | 0.866072i | −0.0806216 | − | 0.0387319i | ||||
\(501\) | −9.17493 | + | 15.8914i | −0.409906 | + | 0.709978i | ||||
\(502\) | 7.26922 | + | 6.73849i | 0.324441 | + | 0.300754i | ||||
\(503\) | −7.62610 | + | 13.2088i | −0.340031 | + | 0.588951i | −0.984438 | − | 0.175732i | \(-0.943771\pi\) |
0.644407 | + | 0.764682i | \(0.277104\pi\) | |||||||
\(504\) | −14.6491 | − | 2.18686i | −0.652523 | − | 0.0974103i | ||||
\(505\) | 4.58812 | − | 2.64895i | 0.204169 | − | 0.117877i | ||||
\(506\) | 13.6769 | − | 14.7541i | 0.608013 | − | 0.655901i | ||||
\(507\) | 12.3920 | − | 8.60461i | 0.550349 | − | 0.382144i | ||||
\(508\) | −0.595984 | − | 7.85368i | −0.0264425 | − | 0.348451i | ||||
\(509\) | 9.44807 | + | 16.3645i | 0.418778 | + | 0.725346i | 0.995817 | − | 0.0913714i | \(-0.0291251\pi\) |
−0.577038 | + | 0.816717i | \(0.695792\pi\) | |||||||
\(510\) | 0.269128 | − | 1.18169i | 0.0119172 | − | 0.0523261i | ||||
\(511\) | −1.63587 | + | 2.83341i | −0.0723667 | + | 0.125343i | ||||
\(512\) | 9.73126 | − | 20.4280i | 0.430065 | − | 0.902798i | ||||
\(513\) | −40.3824 | − | 23.3148i | −1.78293 | − | 1.02937i | ||||
\(514\) | −7.71927 | − | 24.9835i | −0.340482 | − | 1.10198i | ||||
\(515\) | 7.06565 | 0.311350 | ||||||||
\(516\) | −17.9613 | − | 8.62888i | −0.790701 | − | 0.379865i | ||||
\(517\) | −17.5921 | + | 10.1568i | −0.773698 | + | 0.446695i | ||||
\(518\) | 2.70168 | − | 11.8626i | 0.118705 | − | 0.521211i | ||||
\(519\) | −10.5122 | −0.461432 | ||||||||
\(520\) | −8.23958 | − | 6.00910i | −0.361330 | − | 0.263517i | ||||
\(521\) | 4.53269 | 0.198581 | 0.0992904 | − | 0.995058i | \(-0.468343\pi\) | ||||
0.0992904 | + | 0.995058i | \(0.468343\pi\) | |||||||
\(522\) | −0.954758 | + | 4.19216i | −0.0417886 | + | 0.183486i | ||||
\(523\) | −23.1340 | + | 13.3564i | −1.01158 | + | 0.584036i | −0.911654 | − | 0.410959i | \(-0.865194\pi\) |
−0.0999260 | + | 0.994995i | \(0.531861\pi\) | |||||||
\(524\) | −8.37971 | + | 17.4426i | −0.366069 | + | 0.761984i | ||||
\(525\) | −3.67586 | −0.160428 | ||||||||
\(526\) | −10.9895 | − | 35.5677i | −0.479165 | − | 1.55082i | ||||
\(527\) | −5.79332 | − | 3.34477i | −0.252361 | − | 0.145701i | ||||
\(528\) | 1.72699 | + | 11.3133i | 0.0751576 | + | 0.492350i | ||||
\(529\) | −5.14723 | + | 8.91527i | −0.223793 | + | 0.387620i | ||||
\(530\) | −1.31446 | + | 5.77154i | −0.0570965 | + | 0.250700i | ||||
\(531\) | −9.46502 | − | 16.3939i | −0.410747 | − | 0.711435i | ||||
\(532\) | 54.5455 | − | 4.13924i | 2.36485 | − | 0.179459i | ||||
\(533\) | −0.580147 | + | 0.367993i | −0.0251289 | + | 0.0159396i | ||||
\(534\) | −15.7103 | + | 16.9477i | −0.679852 | + | 0.733398i | ||||
\(535\) | −10.2327 | + | 5.90788i | −0.442400 | + | 0.255420i | ||||
\(536\) | 1.39060 | − | 9.31521i | 0.0600647 | − | 0.402356i | ||||
\(537\) | 6.59967 | − | 11.4310i | 0.284797 | − | 0.493282i | ||||
\(538\) | 5.33394 | + | 4.94450i | 0.229962 | + | 0.213173i | ||||
\(539\) | −3.73876 | + | 6.47573i | −0.161040 | + | 0.278929i | ||||
\(540\) | 4.67686 | − | 9.73501i | 0.201260 | − | 0.418928i | ||||
\(541\) | −10.6452 | −0.457674 | −0.228837 | − | 0.973465i | \(-0.573492\pi\) | ||||
−0.228837 | + | 0.973465i | \(0.573492\pi\) | |||||||
\(542\) | −30.3619 | + | 9.38104i | −1.30415 | + | 0.402950i | ||||
\(543\) | −10.1747 | − | 17.6231i | −0.436638 | − | 0.756279i | ||||
\(544\) | −4.16638 | − | 0.302373i | −0.178632 | − | 0.0129641i | ||||
\(545\) | 3.12953 | 0.134054 | ||||||||
\(546\) | −18.4328 | − | 3.39729i | −0.788853 | − | 0.145391i | ||||
\(547\) | 18.7968i | 0.803695i | 0.915707 | + | 0.401847i | \(0.131632\pi\) | ||||
−0.915707 | + | 0.401847i | \(0.868368\pi\) | |||||||
\(548\) | 17.2634 | + | 25.2696i | 0.737454 | + | 1.07946i | ||||
\(549\) | −6.66324 | + | 3.84702i | −0.284380 | + | 0.164187i | ||||
\(550\) | −1.02926 | − | 3.33122i | −0.0438879 | − | 0.142044i | ||||
\(551\) | − | 15.8792i | − | 0.676475i | ||||||
\(552\) | −6.94436 | − | 17.6208i | −0.295572 | − | 0.749990i | ||||
\(553\) | 25.2003 | + | 14.5494i | 1.07163 | + | 0.618704i | ||||
\(554\) | 5.69137 | + | 5.27584i | 0.241803 | + | 0.224149i | ||||
\(555\) | 2.72963 | + | 1.57595i | 0.115866 | + | 0.0668955i | ||||
\(556\) | −9.95966 | − | 14.5786i | −0.422383 | − | 0.618272i | ||||
\(557\) | 10.6352 | + | 18.4206i | 0.450626 | + | 0.780508i | 0.998425 | − | 0.0561026i | \(-0.0178674\pi\) |
−0.547799 | + | 0.836610i | \(0.684534\pi\) | |||||||
\(558\) | −15.5327 | − | 14.3987i | −0.657554 | − | 0.609545i | ||||
\(559\) | 27.4291 | + | 14.3473i | 1.16013 | + | 0.606825i | ||||
\(560\) | 1.91193 | + | 12.5249i | 0.0807939 | + | 0.529272i | ||||
\(561\) | 1.82973 | − | 1.05640i | 0.0772514 | − | 0.0446011i | ||||
\(562\) | 1.94508 | − | 8.54045i | 0.0820481 | − | 0.360257i | ||||
\(563\) | −20.4572 | − | 11.8110i | −0.862168 | − | 0.497773i | 0.00256999 | − | 0.999997i | \(-0.499182\pi\) |
−0.864738 | + | 0.502224i | \(0.832515\pi\) | |||||||
\(564\) | 1.44706 | + | 19.0689i | 0.0609322 | + | 0.802945i | ||||
\(565\) | −9.72386 | + | 16.8422i | −0.409086 | + | 0.708557i | ||||
\(566\) | −26.2890 | + | 8.12263i | −1.10501 | + | 0.341420i | ||||
\(567\) | − | 4.14007i | − | 0.173866i | ||||||
\(568\) | 3.88792 | + | 9.86530i | 0.163134 | + | 0.413939i | ||||
\(569\) | −15.0749 | − | 26.1106i | −0.631974 | − | 1.09461i | −0.987148 | − | 0.159811i | \(-0.948911\pi\) |
0.355173 | − | 0.934800i | \(-0.384422\pi\) | |||||||
\(570\) | −3.14699 | + | 13.8178i | −0.131813 | + | 0.578765i | ||||
\(571\) | − | 6.49912i | − | 0.271980i | −0.990710 | − | 0.135990i | \(-0.956579\pi\) | ||
0.990710 | − | 0.135990i | \(-0.0434215\pi\) | |||||||
\(572\) | −2.08254 | − | 17.6559i | −0.0870752 | − | 0.738230i | ||||
\(573\) | − | 0.802353i | − | 0.0335188i | ||||||
\(574\) | 0.832230 | + | 0.189539i | 0.0347366 | + | 0.00791121i | ||||
\(575\) | 2.88507 | + | 4.99708i | 0.120316 | + | 0.208393i | ||||
\(576\) | −12.6493 | − | 3.86273i | −0.527055 | − | 0.160947i | ||||
\(577\) | − | 4.08088i | − | 0.169889i | −0.996386 | − | 0.0849446i | \(-0.972929\pi\) | ||
0.996386 | − | 0.0849446i | \(-0.0270713\pi\) | |||||||
\(578\) | −6.86954 | − | 22.2334i | −0.285735 | − | 0.924786i | ||||
\(579\) | 3.16953 | − | 5.48979i | 0.131721 | − | 0.228148i | ||||
\(580\) | 3.66733 | − | 0.278299i | 0.152278 | − | 0.0115557i | ||||
\(581\) | 4.92170 | + | 2.84155i | 0.204187 | + | 0.117887i | ||||
\(582\) | 27.4239 | + | 6.24576i | 1.13676 | + | 0.258895i | ||||
\(583\) | −8.93668 | + | 5.15960i | −0.370120 | + | 0.213689i | ||||
\(584\) | −1.81831 | + | 2.28671i | −0.0752423 | + | 0.0946245i | ||||
\(585\) | −2.76280 | + | 5.28193i | −0.114228 | + | 0.218381i | ||||
\(586\) | 31.4564 | − | 33.9339i | 1.29945 | − | 1.40180i | ||||
\(587\) | 7.83029 | + | 13.5625i | 0.323191 | + | 0.559783i | 0.981145 | − | 0.193275i | \(-0.0619111\pi\) |
−0.657954 | + | 0.753058i | \(0.728578\pi\) | |||||||
\(588\) | 3.97098 | + | 5.81260i | 0.163761 | + | 0.239708i | ||||
\(589\) | 67.7429 | + | 39.1114i | 2.79130 | + | 1.61156i | ||||
\(590\) | −11.0085 | + | 11.8756i | −0.453213 | + | 0.488909i | ||||
\(591\) | −14.0271 | − | 8.09858i | −0.577000 | − | 0.333131i | ||||
\(592\) | 3.95002 | − | 10.1204i | 0.162345 | − | 0.415948i | ||||
\(593\) | 35.5283i | 1.45897i | 0.683996 | + | 0.729486i | \(0.260241\pi\) | ||||
−0.683996 | + | 0.729486i | \(0.739759\pi\) | |||||||
\(594\) | 17.9889 | − | 5.55811i | 0.738093 | − | 0.228052i | ||||
\(595\) | 2.02568 | − | 1.16953i | 0.0830447 | − | 0.0479459i | ||||
\(596\) | 21.7361 | − | 14.8494i | 0.890347 | − | 0.608256i | ||||
\(597\) | 28.9320i | 1.18411i | ||||||||
\(598\) | 9.84897 | + | 27.7246i | 0.402754 | + | 1.13374i | ||||
\(599\) | 15.0781 | 0.616075 | 0.308037 | − | 0.951374i | \(-0.400328\pi\) | ||||
0.308037 | + | 0.951374i | \(0.400328\pi\) | |||||||
\(600\) | −3.24641 | − | 0.484633i | −0.132534 | − | 0.0197850i | ||||
\(601\) | −9.78938 | − | 16.9557i | −0.399317 | − | 0.691637i | 0.594325 | − | 0.804225i | \(-0.297419\pi\) |
−0.993642 | + | 0.112588i | \(0.964086\pi\) | |||||||
\(602\) | −11.3530 | − | 36.7441i | −0.462713 | − | 1.49758i | ||||
\(603\) | −5.50517 | −0.224188 | ||||||||
\(604\) | −14.9759 | + | 31.1729i | −0.609363 | + | 1.26841i | ||||
\(605\) | −2.46089 | + | 4.26239i | −0.100049 | + | 0.173291i | ||||
\(606\) | 5.91102 | − | 6.37658i | 0.240119 | − | 0.259031i | ||||
\(607\) | 12.4880 | − | 21.6299i | 0.506874 | − | 0.877932i | −0.493094 | − | 0.869976i | \(-0.664134\pi\) |
0.999968 | − | 0.00795583i | \(-0.00253244\pi\) | |||||||
\(608\) | 48.7187 | + | 3.53573i | 1.97580 | + | 0.143393i | ||||
\(609\) | 5.85405 | − | 3.37984i | 0.237218 | − | 0.136958i | ||||
\(610\) | 4.82677 | + | 4.47437i | 0.195430 | + | 0.181162i | ||||
\(611\) | −1.23751 | − | 29.6820i | −0.0500642 | − | 1.20080i | ||||
\(612\) | 0.184759 | + | 2.43470i | 0.00746844 | + | 0.0984167i | ||||
\(613\) | 5.34922 | + | 9.26513i | 0.216053 | + | 0.374215i | 0.953598 | − | 0.301083i | \(-0.0973482\pi\) |
−0.737545 | + | 0.675298i | \(0.764015\pi\) | |||||||
\(614\) | −29.1960 | − | 6.64934i | −1.17825 | − | 0.268345i | ||||
\(615\) | −0.110563 | + | 0.191500i | −0.00445832 | + | 0.00772204i | ||||
\(616\) | −13.7470 | + | 17.2882i | −0.553882 | + | 0.696561i | ||||
\(617\) | 17.2769 | + | 9.97481i | 0.695541 | + | 0.401571i | 0.805685 | − | 0.592345i | \(-0.201798\pi\) |
−0.110143 | + | 0.993916i | \(0.535131\pi\) | |||||||
\(618\) | 11.0793 | − | 3.42322i | 0.445675 | − | 0.137702i | ||||
\(619\) | −14.3270 | −0.575850 | −0.287925 | − | 0.957653i | \(-0.592965\pi\) | ||||
−0.287925 | + | 0.957653i | \(0.592965\pi\) | |||||||
\(620\) | −7.84559 | + | 16.3308i | −0.315087 | + | 0.655862i | ||||
\(621\) | −26.9847 | + | 15.5796i | −1.08286 | + | 0.625188i | ||||
\(622\) | −23.5457 | − | 5.36249i | −0.944096 | − | 0.215016i | ||||
\(623\) | −44.6007 | −1.78689 | ||||||||
\(624\) | −15.8314 | − | 5.43060i | −0.633764 | − | 0.217398i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 34.5599 | + | 7.87096i | 1.38129 | + | 0.314587i | ||||
\(627\) | −21.3956 | + | 12.3528i | −0.854458 | + | 0.493321i | ||||
\(628\) | −20.6584 | + | 43.0010i | −0.824359 | + | 1.71593i | ||||
\(629\) | −2.00564 | −0.0799702 | ||||||||
\(630\) | 7.07567 | − | 2.18620i | 0.281902 | − | 0.0871004i | ||||
\(631\) | 21.3141 | + | 12.3057i | 0.848500 | + | 0.489882i | 0.860145 | − | 0.510050i | \(-0.170373\pi\) |
−0.0116443 | + | 0.999932i | \(0.503707\pi\) | |||||||
\(632\) | 20.3379 | + | 16.1721i | 0.808999 | + | 0.643290i | ||||
\(633\) | 5.33855 | − | 9.24665i | 0.212188 | − | 0.367521i | ||||
\(634\) | 25.1495 | + | 5.72776i | 0.998813 | + | 0.227478i | ||||
\(635\) | 1.96907 | + | 3.41052i | 0.0781400 | + | 0.135342i | ||||
\(636\) | 0.735100 | + | 9.68691i | 0.0291486 | + | 0.384111i | ||||
\(637\) | −5.85754 | − | 9.23449i | −0.232084 | − | 0.365884i | ||||
\(638\) | 4.70212 | + | 4.35882i | 0.186159 | + | 0.172567i | ||||
\(639\) | 5.36764 | − | 3.09901i | 0.212340 | − | 0.122595i | ||||
\(640\) | 0.0372585 | + | 11.3136i | 0.00147277 | + | 0.447211i | ||||
\(641\) | −10.8642 | + | 18.8174i | −0.429112 | + | 0.743243i | −0.996795 | − | 0.0800040i | \(-0.974507\pi\) |
0.567683 | + | 0.823247i | \(0.307840\pi\) | |||||||
\(642\) | −13.1832 | + | 14.2215i | −0.520298 | + | 0.561278i | ||||
\(643\) | 8.88679 | − | 15.3924i | 0.350461 | − | 0.607016i | −0.635869 | − | 0.771797i | \(-0.719358\pi\) |
0.986330 | + | 0.164781i | \(0.0526916\pi\) | |||||||
\(644\) | 15.8290 | − | 32.9486i | 0.623752 | − | 1.29836i | ||||
\(645\) | 9.96325 | 0.392302 | ||||||||
\(646\) | −2.66210 | − | 8.61591i | −0.104739 | − | 0.338989i | ||||
\(647\) | 19.8313 | + | 34.3488i | 0.779649 | + | 1.35039i | 0.932144 | + | 0.362088i | \(0.117936\pi\) |
−0.152495 | + | 0.988304i | \(0.548731\pi\) | |||||||
\(648\) | 0.545834 | − | 3.65638i | 0.0214424 | − | 0.143636i | ||||
\(649\) | −28.2295 | −1.10810 | ||||||||
\(650\) | 5.01456 | + | 0.924215i | 0.196687 | + | 0.0362507i | ||||
\(651\) | 33.2990i | 1.30509i | ||||||||
\(652\) | −3.44381 | + | 2.35270i | −0.134870 | + | 0.0921387i | ||||
\(653\) | 11.7391 | − | 6.77755i | 0.459385 | − | 0.265226i | −0.252401 | − | 0.967623i | \(-0.581220\pi\) |
0.711785 | + | 0.702397i | \(0.247887\pi\) | |||||||
\(654\) | 4.90725 | − | 1.51622i | 0.191889 | − | 0.0592887i | ||||
\(655\) | − | 9.67553i | − | 0.378054i | ||||||
\(656\) | 0.710011 | + | 0.277118i | 0.0277213 | + | 0.0108196i | ||||
\(657\) | 1.47888 | + | 0.853829i | 0.0576964 | + | 0.0333111i | ||||
\(658\) | −25.0915 | + | 27.0678i | −0.978169 | + | 1.05521i | ||||
\(659\) | −1.49368 | − | 0.862377i | −0.0581856 | − | 0.0335934i | 0.470625 | − | 0.882333i | \(-0.344028\pi\) |
−0.528811 | + | 0.848740i | \(0.677362\pi\) | |||||||
\(660\) | −3.22787 | − | 4.72486i | −0.125645 | − | 0.183915i | ||||
\(661\) | −12.9412 | − | 22.4148i | −0.503355 | − | 0.871836i | −0.999992 | − | 0.00387783i | \(-0.998766\pi\) |
0.496638 | − | 0.867958i | \(-0.334568\pi\) | |||||||
\(662\) | 25.8655 | − | 27.9026i | 1.00529 | − | 1.08447i | ||||
\(663\) | 0.128712 | + | 3.08719i | 0.00499875 | + | 0.119897i | ||||
\(664\) | 3.97206 | + | 3.15845i | 0.154146 | + | 0.122572i | ||||
\(665\) | −23.6868 | + | 13.6756i | −0.918535 | + | 0.530317i | ||||
\(666\) | −6.19156 | − | 1.41012i | −0.239918 | − | 0.0546410i | ||||
\(667\) | −9.18932 | − | 5.30546i | −0.355812 | − | 0.205428i | ||||
\(668\) | −31.5335 | + | 2.39294i | −1.22007 | + | 0.0925858i | ||||
\(669\) | 2.44285 | − | 4.23114i | 0.0944460 | − | 0.163585i | ||||
\(670\) | 1.39018 | + | 4.49934i | 0.0537074 | + | 0.173825i | ||||
\(671\) | 11.4738i | 0.442940i | ||||||||
\(672\) | 9.06615 | + | 18.7133i | 0.349734 | + | 0.721882i | ||||
\(673\) | −6.92986 | − | 12.0029i | −0.267127 | − | 0.462677i | 0.700992 | − | 0.713169i | \(-0.252741\pi\) |
−0.968119 | + | 0.250492i | \(0.919408\pi\) | |||||||
\(674\) | −4.15012 | − | 0.945183i | −0.159857 | − | 0.0364071i | ||||
\(675\) | 5.40008i | 0.207849i | ||||||||
\(676\) | 24.2917 | + | 9.26907i | 0.934294 | + | 0.356503i | ||||
\(677\) | − | 32.0465i | − | 1.23165i | −0.787884 | − | 0.615823i | \(-0.788824\pi\) | ||
0.787884 | − | 0.615823i | \(-0.211176\pi\) | |||||||
\(678\) | −7.08766 | + | 31.1205i | −0.272200 | + | 1.19518i | ||||
\(679\) | 27.1416 | + | 47.0107i | 1.04160 | + | 1.80410i | ||||
\(680\) | 1.94321 | − | 0.765820i | 0.0745186 | − | 0.0293678i | ||||
\(681\) | 10.1616i | 0.389394i | ||||||||
\(682\) | −30.1770 | + | 9.32392i | −1.15554 | + | 0.357031i | ||||
\(683\) | −4.02679 | + | 6.97461i | −0.154081 | + | 0.266876i | −0.932724 | − | 0.360591i | \(-0.882575\pi\) |
0.778643 | + | 0.627467i | \(0.215908\pi\) | |||||||
\(684\) | −2.16044 | − | 28.4696i | −0.0826065 | − | 1.08856i | ||||
\(685\) | −13.2517 | − | 7.65088i | −0.506322 | − | 0.292325i | ||||
\(686\) | 3.94611 | − | 17.3266i | 0.150663 | − | 0.661533i | ||||
\(687\) | 22.7793 | − | 13.1516i | 0.869084 | − | 0.501766i | ||||
\(688\) | −5.18220 | − | 33.9480i | −0.197569 | − | 1.29426i | ||||
\(689\) | −0.628647 | − | 15.0783i | −0.0239496 | − | 0.574437i | ||||
\(690\) | 6.94496 | + | 6.43790i | 0.264390 | + | 0.245087i | ||||
\(691\) | −9.06234 | − | 15.6964i | −0.344748 | − | 0.597121i | 0.640560 | − | 0.767908i | \(-0.278702\pi\) |
−0.985308 | + | 0.170787i | \(0.945369\pi\) | |||||||
\(692\) | −10.2195 | − | 14.9590i | −0.388489 | − | 0.568658i | ||||
\(693\) | 11.1807 | + | 6.45521i | 0.424722 | + | 0.245213i | ||||
\(694\) | −2.68869 | − | 2.49239i | −0.102061 | − | 0.0946097i | ||||
\(695\) | 7.64524 | + | 4.41398i | 0.290000 | + | 0.167432i | ||||
\(696\) | 5.61572 | − | 2.21316i | 0.212864 | − | 0.0838897i | ||||
\(697\) | − | 0.140708i | − | 0.00532970i | ||||||
\(698\) | −8.17387 | − | 26.4549i | −0.309386 | − | 1.00133i | ||||
\(699\) | −16.4136 | + | 9.47641i | −0.620820 | + | 0.358431i | ||||
\(700\) | −3.57354 | − | 5.23084i | −0.135067 | − | 0.197707i | ||||
\(701\) | 0.168502i | 0.00636422i | 0.999995 | + | 0.00318211i | \(0.00101290\pi\) | ||||
−0.999995 | + | 0.00318211i | \(0.998987\pi\) | |||||||
\(702\) | −4.99084 | + | 27.0790i | −0.188367 | + | 1.02203i | ||||
\(703\) | 23.4526 | 0.884530 | ||||||||
\(704\) | −14.4202 | + | 13.4560i | −0.543483 | + | 0.507141i | ||||
\(705\) | −4.78093 | − | 8.28082i | −0.180060 | − | 0.311874i | ||||
\(706\) | 7.33097 | − | 2.26508i | 0.275905 | − | 0.0852475i | ||||
\(707\) | 16.7810 | 0.631116 | ||||||||
\(708\) | −11.5083 | + | 23.9550i | −0.432510 | + | 0.900282i | ||||
\(709\) | −13.2652 | + | 22.9759i | −0.498184 | + | 0.862879i | −0.999998 | − | 0.00209603i | \(-0.999333\pi\) |
0.501814 | + | 0.864975i | \(0.332666\pi\) | |||||||
\(710\) | −3.88825 | − | 3.60437i | −0.145924 | − | 0.135270i | ||||
\(711\) | 7.59395 | − | 13.1531i | 0.284795 | − | 0.493280i | ||||
\(712\) | −39.3900 | − | 5.88024i | −1.47620 | − | 0.220371i | ||||
\(713\) | 45.2677 | − | 26.1353i | 1.69529 | − | 0.978776i | ||||
\(714\) | 2.60974 | − | 2.81529i | 0.0976672 | − | 0.105360i | ||||
\(715\) | 4.76139 | + | 7.50640i | 0.178066 | + | 0.280723i | ||||
\(716\) | 22.6825 | − | 1.72128i | 0.847684 | − | 0.0643273i | ||||
\(717\) | −3.69044 | − | 6.39203i | −0.137822 | − | 0.238715i | ||||
\(718\) | 7.57400 | − | 33.2560i | 0.282659 | − | 1.24110i | ||||
\(719\) | 19.5787 | − | 33.9113i | 0.730163 | − | 1.26468i | −0.226651 | − | 0.973976i | \(-0.572778\pi\) |
0.956813 | − | 0.290703i | \(-0.0938890\pi\) | |||||||
\(720\) | 6.53725 | − | 0.997917i | 0.243629 | − | 0.0371902i | ||||
\(721\) | 19.3820 | + | 11.1902i | 0.721822 | + | 0.416744i | ||||
\(722\) | 23.1965 | + | 75.0758i | 0.863284 | + | 2.79403i | ||||
\(723\) | 14.2820 | 0.531155 | ||||||||
\(724\) | 15.1866 | − | 31.6114i | 0.564406 | − | 1.17483i | ||||
\(725\) | −1.59257 | + | 0.919468i | −0.0591464 | + | 0.0341482i | ||||
\(726\) | −1.79373 | + | 7.87591i | −0.0665714 | + | 0.292302i | ||||
\(727\) | −18.8156 | −0.697832 | −0.348916 | − | 0.937154i | \(-0.613450\pi\) | ||||
−0.348916 | + | 0.937154i | \(0.613450\pi\) | |||||||
\(728\) | −13.0853 | − | 29.5331i | −0.484974 | − | 1.09457i | ||||
\(729\) | −20.9612 | −0.776342 | ||||||||
\(730\) | 0.324380 | − | 1.42429i | 0.0120058 | − | 0.0527153i | ||||
\(731\) | −5.49050 | + | 3.16994i | −0.203073 | + | 0.117244i | ||||
\(732\) | 9.73640 | + | 4.67752i | 0.359868 | + | 0.172886i | ||||
\(733\) | −19.8512 | −0.733219 | −0.366610 | − | 0.930375i | \(-0.619482\pi\) | ||||
−0.366610 | + | 0.930375i | \(0.619482\pi\) | |||||||
\(734\) | 0.932268 | + | 3.01730i | 0.0344106 | + | 0.111370i | ||||
\(735\) | −3.04821 | − | 1.75988i | −0.112435 | − | 0.0649143i | ||||
\(736\) | 18.3237 | − | 27.0123i | 0.675422 | − | 0.995686i | ||||
\(737\) | −4.10480 | + | 7.10972i | −0.151202 | + | 0.261890i | ||||
\(738\) | 0.0989284 | − | 0.434376i | 0.00364161 | − | 0.0159896i | ||||
\(739\) | −21.9843 | − | 38.0780i | −0.808707 | − | 1.40072i | −0.913760 | − | 0.406255i | \(-0.866834\pi\) |
0.105052 | − | 0.994467i | \(-0.466499\pi\) | |||||||
\(740\) | 0.411030 | + | 5.41642i | 0.0151098 | + | 0.199111i | ||||
\(741\) | −1.50506 | − | 36.0994i | −0.0552899 | − | 1.32614i | ||||
\(742\) | −12.7464 | + | 13.7503i | −0.467934 | + | 0.504789i | ||||
\(743\) | −17.2021 | + | 9.93161i | −0.631082 | + | 0.364356i | −0.781171 | − | 0.624317i | \(-0.785377\pi\) |
0.150089 | + | 0.988673i | \(0.452044\pi\) | |||||||
\(744\) | −4.39020 | + | 29.4087i | −0.160953 | + | 1.07817i | ||||
\(745\) | −6.58106 | + | 11.3987i | −0.241111 | + | 0.417617i | ||||
\(746\) | −13.9846 | − | 12.9636i | −0.512013 | − | 0.474631i | ||||
\(747\) | 1.48312 | − | 2.56884i | 0.0542646 | − | 0.0939890i | ||||
\(748\) | 3.28208 | + | 1.57676i | 0.120005 | + | 0.0576522i | ||||
\(749\) | −37.4263 | −1.36753 | ||||||||
\(750\) | 1.56805 | − | 0.484488i | 0.0572571 | − | 0.0176910i | ||||
\(751\) | −9.68597 | − | 16.7766i | −0.353446 | − | 0.612186i | 0.633405 | − | 0.773821i | \(-0.281657\pi\) |
−0.986851 | + | 0.161634i | \(0.948324\pi\) | |||||||
\(752\) | −25.7287 | + | 20.5973i | −0.938230 | + | 0.751106i | ||||
\(753\) | −8.13379 | −0.296412 | ||||||||
\(754\) | −8.83580 | + | 3.13886i | −0.321781 | + | 0.114310i | ||||
\(755\) | − | 17.2918i | − | 0.629313i | ||||||
\(756\) | 28.2470 | − | 19.2974i | 1.02733 | − | 0.701840i | ||||
\(757\) | 14.7095 | − | 8.49256i | 0.534627 | − | 0.308667i | −0.208271 | − | 0.978071i | \(-0.566784\pi\) |
0.742899 | + | 0.669404i | \(0.233450\pi\) | |||||||
\(758\) | 2.55478 | + | 8.26858i | 0.0927938 | + | 0.300329i | ||||
\(759\) | 16.5089i | 0.599236i | ||||||||
\(760\) | −22.7225 | + | 8.95495i | −0.824231 | + | 0.324830i | ||||
\(761\) | 45.5367 | + | 26.2906i | 1.65070 | + | 0.953035i | 0.976783 | + | 0.214232i | \(0.0687249\pi\) |
0.673922 | + | 0.738803i | \(0.264608\pi\) | |||||||
\(762\) | 4.73995 | + | 4.39389i | 0.171710 | + | 0.159174i | ||||
\(763\) | 8.58468 | + | 4.95637i | 0.310786 | + | 0.179433i | ||||
\(764\) | 1.14177 | − | 0.780019i | 0.0413077 | − | 0.0282201i | ||||
\(765\) | −0.610424 | − | 1.05729i | −0.0220699 | − | 0.0382262i | ||||
\(766\) | −21.9910 | − | 20.3855i | −0.794569 | − | 0.736557i | ||||
\(767\) | 19.1350 | − | 36.5822i | 0.690923 | − | 1.32091i | ||||
\(768\) | 5.53975 | + | 17.7223i | 0.199898 | + | 0.639499i | ||||
\(769\) | 42.8525 | − | 24.7409i |