Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [180,2,Mod(7,180)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(180, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("180.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 180 = 2^{2} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 180.x (of order \(12\), degree \(4\), 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: | \(1.43730723638\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 43.16 | ||
Character | \(\chi\) | \(=\) | 180.43 |
Dual form | 180.2.x.a.67.16 |
$q$-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 \(\left(\mathbb{Z}/180\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(91\) | \(101\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0886778 | − | 1.41143i | −0.0627047 | − | 0.998032i | ||||
\(3\) | 1.72796 | + | 0.119021i | 0.997636 | + | 0.0687169i | ||||
\(4\) | −1.98427 | + | 0.250325i | −0.992136 | + | 0.125163i | ||||
\(5\) | 1.70814 | + | 1.44300i | 0.763904 | + | 0.645330i | ||||
\(6\) | 0.0147586 | − | 2.44945i | 0.00602518 | − | 0.999982i | ||||
\(7\) | 1.23543 | − | 0.331032i | 0.466948 | − | 0.125118i | −0.0176708 | − | 0.999844i | \(-0.505625\pi\) |
0.484619 | + | 0.874726i | \(0.338958\pi\) | |||||||
\(8\) | 0.529277 | + | 2.77846i | 0.187128 | + | 0.982336i | ||||
\(9\) | 2.97167 | + | 0.411327i | 0.990556 | + | 0.137109i | ||||
\(10\) | 1.88522 | − | 2.53888i | 0.596160 | − | 0.802866i | ||||
\(11\) | −4.09029 | − | 2.36153i | −1.23327 | − | 0.712028i | −0.265558 | − | 0.964095i | \(-0.585556\pi\) |
−0.967710 | + | 0.252067i | \(0.918890\pi\) | |||||||
\(12\) | −3.45853 | + | 0.196381i | −0.998392 | + | 0.0566902i | ||||
\(13\) | 0.448661 | − | 1.67443i | 0.124436 | − | 0.464402i | −0.875383 | − | 0.483430i | \(-0.839391\pi\) |
0.999819 | + | 0.0190283i | \(0.00605726\pi\) | |||||||
\(14\) | −0.576784 | − | 1.71437i | −0.154152 | − | 0.458183i | ||||
\(15\) | 2.77985 | + | 2.69675i | 0.717753 | + | 0.696298i | ||||
\(16\) | 3.87467 | − | 0.993427i | 0.968669 | − | 0.248357i | ||||
\(17\) | −2.37189 | + | 2.37189i | −0.575267 | + | 0.575267i | −0.933595 | − | 0.358329i | \(-0.883347\pi\) |
0.358329 | + | 0.933595i | \(0.383347\pi\) | |||||||
\(18\) | 0.317038 | − | 4.23078i | 0.0747266 | − | 0.997204i | ||||
\(19\) | −2.26465 | −0.519546 | −0.259773 | − | 0.965670i | \(-0.583648\pi\) | ||||
−0.259773 | + | 0.965670i | \(0.583648\pi\) | |||||||
\(20\) | −3.75064 | − | 2.43572i | −0.838668 | − | 0.544643i | ||||
\(21\) | 2.17417 | − | 0.424967i | 0.474442 | − | 0.0927353i | ||||
\(22\) | −2.97042 | + | 5.98257i | −0.633295 | + | 1.27549i | ||||
\(23\) | −8.43461 | − | 2.26005i | −1.75874 | − | 0.471252i | −0.772282 | − | 0.635280i | \(-0.780885\pi\) |
−0.986456 | + | 0.164028i | \(0.947551\pi\) | |||||||
\(24\) | 0.583873 | + | 4.86406i | 0.119182 | + | 0.992872i | ||||
\(25\) | 0.835491 | + | 4.92970i | 0.167098 | + | 0.985940i | ||||
\(26\) | −2.40312 | − | 0.484770i | −0.471291 | − | 0.0950711i | ||||
\(27\) | 5.08596 | + | 1.06445i | 0.978793 | + | 0.204853i | ||||
\(28\) | −2.36856 | + | 0.966116i | −0.447616 | + | 0.182579i | ||||
\(29\) | −0.111045 | − | 0.0641116i | −0.0206205 | − | 0.0119052i | 0.489654 | − | 0.871917i | \(-0.337123\pi\) |
−0.510275 | + | 0.860011i | \(0.670456\pi\) | |||||||
\(30\) | 3.55976 | − | 4.16270i | 0.649921 | − | 0.760002i | ||||
\(31\) | 5.75638 | − | 3.32345i | 1.03388 | − | 0.596909i | 0.115784 | − | 0.993274i | \(-0.463062\pi\) |
0.918093 | + | 0.396365i | \(0.129729\pi\) | |||||||
\(32\) | −1.74575 | − | 5.38074i | −0.308608 | − | 0.951189i | ||||
\(33\) | −6.78677 | − | 4.56745i | −1.18142 | − | 0.795091i | ||||
\(34\) | 3.55809 | + | 3.13742i | 0.610207 | + | 0.538063i | ||||
\(35\) | 2.58796 | + | 1.21728i | 0.437446 | + | 0.205757i | ||||
\(36\) | −5.99956 | − | 0.0723008i | −0.999927 | − | 0.0120501i | ||||
\(37\) | −0.433255 | + | 0.433255i | −0.0712267 | + | 0.0712267i | −0.741823 | − | 0.670596i | \(-0.766038\pi\) |
0.670596 | + | 0.741823i | \(0.266038\pi\) | |||||||
\(38\) | 0.200824 | + | 3.19639i | 0.0325780 | + | 0.518523i | ||||
\(39\) | 0.974559 | − | 2.83994i | 0.156054 | − | 0.454754i | ||||
\(40\) | −3.10525 | + | 5.50976i | −0.490983 | + | 0.871169i | ||||
\(41\) | 3.06037 | + | 5.30071i | 0.477949 | + | 0.827833i | 0.999680 | − | 0.0252774i | \(-0.00804691\pi\) |
−0.521731 | + | 0.853110i | \(0.674714\pi\) | |||||||
\(42\) | −0.792611 | − | 3.03100i | −0.122303 | − | 0.467693i | ||||
\(43\) | 1.09889 | + | 4.10111i | 0.167579 | + | 0.625414i | 0.997697 | + | 0.0678260i | \(0.0216063\pi\) |
−0.830118 | + | 0.557588i | \(0.811727\pi\) | |||||||
\(44\) | 8.70739 | + | 3.66201i | 1.31269 | + | 0.552069i | ||||
\(45\) | 4.48248 | + | 4.99073i | 0.668209 | + | 0.743974i | ||||
\(46\) | −2.44194 | + | 12.1053i | −0.360044 | + | 1.78483i | ||||
\(47\) | −4.63950 | + | 1.24315i | −0.676740 | + | 0.181332i | −0.580789 | − | 0.814054i | \(-0.697256\pi\) |
−0.0959510 | + | 0.995386i | \(0.530589\pi\) | |||||||
\(48\) | 6.81351 | − | 1.25543i | 0.983445 | − | 0.181206i | ||||
\(49\) | −4.64548 | + | 2.68207i | −0.663640 | + | 0.383153i | ||||
\(50\) | 6.88384 | − | 1.61639i | 0.973522 | − | 0.228592i | ||||
\(51\) | −4.38082 | + | 3.81621i | −0.613438 | + | 0.534376i | ||||
\(52\) | −0.471115 | + | 3.43483i | −0.0653319 | + | 0.476325i | ||||
\(53\) | −3.98389 | − | 3.98389i | −0.547229 | − | 0.547229i | 0.378409 | − | 0.925638i | \(-0.376471\pi\) |
−0.925638 | + | 0.378409i | \(0.876471\pi\) | |||||||
\(54\) | 1.05138 | − | 7.27287i | 0.143075 | − | 0.989712i | ||||
\(55\) | −3.57910 | − | 9.93612i | −0.482605 | − | 1.33979i | ||||
\(56\) | 1.57364 | + | 3.25738i | 0.210287 | + | 0.435286i | ||||
\(57\) | −3.91321 | − | 0.269541i | −0.518318 | − | 0.0357016i | ||||
\(58\) | −0.0806419 | + | 0.162417i | −0.0105888 | + | 0.0213264i | ||||
\(59\) | 7.36431 | + | 12.7554i | 0.958752 | + | 1.66061i | 0.725538 | + | 0.688182i | \(0.241591\pi\) |
0.233214 | + | 0.972425i | \(0.425076\pi\) | |||||||
\(60\) | −6.19104 | − | 4.65522i | −0.799259 | − | 0.600986i | ||||
\(61\) | 5.25378 | − | 9.09981i | 0.672678 | − | 1.16511i | −0.304464 | − | 0.952524i | \(-0.598477\pi\) |
0.977142 | − | 0.212588i | \(-0.0681893\pi\) | |||||||
\(62\) | −5.20128 | − | 7.83002i | −0.660563 | − | 0.994413i | ||||
\(63\) | 3.80744 | − | 0.475553i | 0.479693 | − | 0.0599140i | ||||
\(64\) | −7.43973 | + | 2.94116i | −0.929966 | + | 0.367645i | ||||
\(65\) | 3.18258 | − | 2.21274i | 0.394750 | − | 0.274456i | ||||
\(66\) | −5.84480 | + | 9.98408i | −0.719445 | + | 1.22896i | ||||
\(67\) | 0.0587762 | − | 0.219356i | 0.00718065 | − | 0.0267986i | −0.962243 | − | 0.272193i | \(-0.912251\pi\) |
0.969423 | + | 0.245395i | \(0.0789176\pi\) | |||||||
\(68\) | 4.11272 | − | 5.30021i | 0.498741 | − | 0.642745i | ||||
\(69\) | −14.3056 | − | 4.90916i | −1.72220 | − | 0.590993i | ||||
\(70\) | 1.48860 | − | 3.76068i | 0.177922 | − | 0.449487i | ||||
\(71\) | 3.57863i | 0.424705i | 0.977193 | + | 0.212353i | \(0.0681125\pi\) | ||||
−0.977193 | + | 0.212353i | \(0.931887\pi\) | |||||||
\(72\) | 0.429981 | + | 8.47438i | 0.0506737 | + | 0.998715i | ||||
\(73\) | −4.90665 | − | 4.90665i | −0.574280 | − | 0.574280i | 0.359042 | − | 0.933321i | \(-0.383104\pi\) |
−0.933321 | + | 0.359042i | \(0.883104\pi\) | |||||||
\(74\) | 0.649930 | + | 0.573090i | 0.0755528 | + | 0.0666203i | ||||
\(75\) | 0.856954 | + | 8.61775i | 0.0989525 | + | 0.995092i | ||||
\(76\) | 4.49368 | − | 0.566898i | 0.515460 | − | 0.0650277i | ||||
\(77\) | −5.83500 | − | 1.56348i | −0.664959 | − | 0.178175i | ||||
\(78\) | −4.09479 | − | 1.12368i | −0.463644 | − | 0.127232i | ||||
\(79\) | 0.916939 | − | 1.58819i | 0.103164 | − | 0.178685i | −0.809823 | − | 0.586675i | \(-0.800437\pi\) |
0.912986 | + | 0.407990i | \(0.133770\pi\) | |||||||
\(80\) | 8.05201 | + | 3.89425i | 0.900242 | + | 0.435390i | ||||
\(81\) | 8.66162 | + | 2.44465i | 0.962402 | + | 0.271628i | ||||
\(82\) | 7.21020 | − | 4.78955i | 0.796234 | − | 0.528918i | ||||
\(83\) | −1.55125 | − | 5.78936i | −0.170272 | − | 0.635464i | −0.997309 | − | 0.0733163i | \(-0.976642\pi\) |
0.827037 | − | 0.562148i | \(-0.190025\pi\) | |||||||
\(84\) | −4.20776 | + | 1.38750i | −0.459104 | + | 0.151388i | ||||
\(85\) | −7.47415 | + | 0.628880i | −0.810685 | + | 0.0682116i | ||||
\(86\) | 5.69099 | − | 1.91468i | 0.613675 | − | 0.206466i | ||||
\(87\) | −0.184250 | − | 0.123999i | −0.0197536 | − | 0.0132941i | ||||
\(88\) | 4.39653 | − | 12.6146i | 0.468671 | − | 1.34472i | ||||
\(89\) | − | 11.4804i | − | 1.21692i | −0.793583 | − | 0.608462i | \(-0.791787\pi\) | ||
0.793583 | − | 0.608462i | \(-0.208213\pi\) | |||||||
\(90\) | 6.64657 | − | 6.76928i | 0.700610 | − | 0.713545i | ||||
\(91\) | − | 2.21715i | − | 0.232421i | ||||||
\(92\) | 17.3023 | + | 2.37315i | 1.80389 | + | 0.247418i | ||||
\(93\) | 10.3423 | − | 5.05764i | 1.07245 | − | 0.524453i | ||||
\(94\) | 2.16604 | + | 6.43809i | 0.223410 | + | 0.664038i | ||||
\(95\) | −3.86834 | − | 3.26789i | −0.396883 | − | 0.335279i | ||||
\(96\) | −2.37616 | − | 9.50547i | −0.242516 | − | 0.970147i | ||||
\(97\) | 0.803883 | + | 3.00013i | 0.0816220 | + | 0.304617i | 0.994653 | − | 0.103273i | \(-0.0329314\pi\) |
−0.913031 | + | 0.407890i | \(0.866265\pi\) | |||||||
\(98\) | 4.19750 | + | 6.31893i | 0.424012 | + | 0.638308i | ||||
\(99\) | −11.1836 | − | 8.70012i | −1.12400 | − | 0.874395i | ||||
\(100\) | −2.89187 | − | 9.57273i | −0.289187 | − | 0.957273i | ||||
\(101\) | 8.46432 | − | 14.6606i | 0.842231 | − | 1.45879i | −0.0457734 | − | 0.998952i | \(-0.514575\pi\) |
0.888004 | − | 0.459835i | \(-0.152091\pi\) | |||||||
\(102\) | 5.77480 | + | 5.84481i | 0.571790 | + | 0.578722i | ||||
\(103\) | 2.06442 | + | 0.553160i | 0.203413 | + | 0.0545045i | 0.359087 | − | 0.933304i | \(-0.383088\pi\) |
−0.155674 | + | 0.987809i | \(0.549755\pi\) | |||||||
\(104\) | 4.88980 | + | 0.360353i | 0.479484 | + | 0.0353355i | ||||
\(105\) | 4.32701 | + | 2.41142i | 0.422273 | + | 0.235331i | ||||
\(106\) | −5.26970 | + | 5.97626i | −0.511838 | + | 0.580466i | ||||
\(107\) | −7.72053 | − | 7.72053i | −0.746372 | − | 0.746372i | 0.227424 | − | 0.973796i | \(-0.426970\pi\) |
−0.973796 | + | 0.227424i | \(0.926970\pi\) | |||||||
\(108\) | −10.3584 | − | 0.839007i | −0.996736 | − | 0.0807335i | ||||
\(109\) | − | 8.73943i | − | 0.837085i | −0.908197 | − | 0.418543i | \(-0.862541\pi\) | ||
0.908197 | − | 0.418543i | \(-0.137459\pi\) | |||||||
\(110\) | −13.7068 | + | 5.93276i | −1.30689 | + | 0.565666i | ||||
\(111\) | −0.800213 | + | 0.697080i | −0.0759528 | + | 0.0661639i | ||||
\(112\) | 4.45802 | − | 2.50995i | 0.421244 | − | 0.237168i | ||||
\(113\) | −3.69361 | + | 13.7847i | −0.347465 | + | 1.29676i | 0.542240 | + | 0.840224i | \(0.317576\pi\) |
−0.889706 | + | 0.456535i | \(0.849090\pi\) | |||||||
\(114\) | −0.0334231 | + | 5.54713i | −0.00313036 | + | 0.519536i | ||||
\(115\) | −11.1462 | − | 16.0316i | −1.03939 | − | 1.49496i | ||||
\(116\) | 0.236391 | + | 0.0994177i | 0.0219484 | + | 0.00923070i | ||||
\(117\) | 2.02201 | − | 4.79129i | 0.186935 | − | 0.442955i | ||||
\(118\) | 17.3503 | − | 11.5253i | 1.59722 | − | 1.06099i | ||||
\(119\) | −2.14512 | + | 3.71546i | −0.196643 | + | 0.340596i | ||||
\(120\) | −6.02151 | + | 9.15103i | −0.549686 | + | 0.835371i | ||||
\(121\) | 5.65363 | + | 9.79238i | 0.513967 | + | 0.890216i | ||||
\(122\) | −13.3097 | − | 6.60839i | −1.20500 | − | 0.598296i | ||||
\(123\) | 4.65729 | + | 9.52365i | 0.419934 | + | 0.858719i | ||||
\(124\) | −10.5903 | + | 8.03560i | −0.951036 | + | 0.721618i | ||||
\(125\) | −5.68643 | + | 9.62624i | −0.508610 | + | 0.860997i | ||||
\(126\) | −1.00885 | − | 5.33177i | −0.0898751 | − | 0.474992i | ||||
\(127\) | 10.1272 | + | 10.1272i | 0.898640 | + | 0.898640i | 0.995316 | − | 0.0966761i | \(-0.0308211\pi\) |
−0.0966761 | + | 0.995316i | \(0.530821\pi\) | |||||||
\(128\) | 4.81098 | + | 10.2398i | 0.425234 | + | 0.905083i | ||||
\(129\) | 1.41071 | + | 7.21733i | 0.124207 | + | 0.635451i | ||||
\(130\) | −3.40535 | − | 4.29576i | −0.298669 | − | 0.376763i | ||||
\(131\) | 15.7001 | − | 9.06444i | 1.37172 | − | 0.791964i | 0.380577 | − | 0.924749i | \(-0.375725\pi\) |
0.991145 | + | 0.132785i | \(0.0423920\pi\) | |||||||
\(132\) | 14.6101 | + | 7.36416i | 1.27165 | + | 0.640968i | ||||
\(133\) | −2.79781 | + | 0.749671i | −0.242601 | + | 0.0650047i | ||||
\(134\) | −0.314817 | − | 0.0635065i | −0.0271961 | − | 0.00548613i | ||||
\(135\) | 7.15153 | + | 9.15727i | 0.615506 | + | 0.788132i | ||||
\(136\) | −7.84559 | − | 5.33481i | −0.672753 | − | 0.457457i | ||||
\(137\) | 3.72055 | + | 13.8853i | 0.317868 | + | 1.18630i | 0.921290 | + | 0.388877i | \(0.127137\pi\) |
−0.603422 | + | 0.797422i | \(0.706196\pi\) | |||||||
\(138\) | −5.66034 | + | 20.6268i | −0.481840 | + | 1.75587i | ||||
\(139\) | 0.164592 | + | 0.285082i | 0.0139605 | + | 0.0241803i | 0.872921 | − | 0.487861i | \(-0.162223\pi\) |
−0.858961 | + | 0.512041i | \(0.828889\pi\) | |||||||
\(140\) | −5.43994 | − | 1.76757i | −0.459759 | − | 0.149387i | ||||
\(141\) | −8.16481 | + | 1.59591i | −0.687601 | + | 0.134400i | ||||
\(142\) | 5.05099 | − | 0.317345i | 0.423869 | − | 0.0266310i | ||||
\(143\) | −5.78936 | + | 5.78936i | −0.484130 | + | 0.484130i | ||||
\(144\) | 11.9229 | − | 1.35838i | 0.993572 | − | 0.113198i | ||||
\(145\) | −0.0971666 | − | 0.269749i | −0.00806925 | − | 0.0224015i | ||||
\(146\) | −6.49028 | + | 7.36050i | −0.537139 | + | 0.609159i | ||||
\(147\) | −8.34641 | + | 4.08159i | −0.688400 | + | 0.336644i | ||||
\(148\) | 0.751242 | − | 0.968151i | 0.0617517 | − | 0.0795815i | ||||
\(149\) | 4.17573 | − | 2.41086i | 0.342090 | − | 0.197505i | −0.319106 | − | 0.947719i | \(-0.603383\pi\) |
0.661196 | + | 0.750214i | \(0.270049\pi\) | |||||||
\(150\) | 12.0874 | − | 1.97373i | 0.986929 | − | 0.161155i | ||||
\(151\) | −2.24172 | − | 1.29426i | −0.182428 | − | 0.105325i | 0.406005 | − | 0.913871i | \(-0.366922\pi\) |
−0.588433 | + | 0.808546i | \(0.700255\pi\) | |||||||
\(152\) | −1.19863 | − | 6.29224i | −0.0972215 | − | 0.510368i | ||||
\(153\) | −8.02408 | + | 6.07284i | −0.648708 | + | 0.490960i | ||||
\(154\) | −1.68931 | + | 8.37434i | −0.136129 | + | 0.674823i | ||||
\(155\) | 14.6285 | + | 2.62955i | 1.17499 | + | 0.211211i | ||||
\(156\) | −1.22288 | + | 5.87916i | −0.0979090 | + | 0.470710i | ||||
\(157\) | −0.794922 | − | 0.212999i | −0.0634417 | − | 0.0169991i | 0.226959 | − | 0.973904i | \(-0.427122\pi\) |
−0.290400 | + | 0.956905i | \(0.593788\pi\) | |||||||
\(158\) | −2.32293 | − | 1.15336i | −0.184802 | − | 0.0917563i | ||||
\(159\) | −6.40982 | − | 7.35815i | −0.508332 | − | 0.583539i | ||||
\(160\) | 4.78243 | − | 11.7102i | 0.378084 | − | 0.925771i | ||||
\(161\) | −11.1685 | −0.880201 | ||||||||
\(162\) | 2.68236 | − | 12.4421i | 0.210746 | − | 0.977541i | ||||
\(163\) | −5.37134 | + | 5.37134i | −0.420716 | + | 0.420716i | −0.885450 | − | 0.464734i | \(-0.846150\pi\) |
0.464734 | + | 0.885450i | \(0.346150\pi\) | |||||||
\(164\) | −7.39951 | − | 9.75197i | −0.577805 | − | 0.761501i | ||||
\(165\) | −5.00192 | − | 17.5952i | −0.389399 | − | 1.36978i | ||||
\(166\) | −8.03371 | + | 2.70287i | −0.623537 | + | 0.209784i | ||||
\(167\) | −0.910016 | + | 3.39622i | −0.0704191 | + | 0.262808i | −0.992156 | − | 0.125009i | \(-0.960104\pi\) |
0.921736 | + | 0.387817i | \(0.126771\pi\) | |||||||
\(168\) | 2.33149 | + | 5.81592i | 0.179878 | + | 0.448708i | ||||
\(169\) | 8.65592 | + | 4.99750i | 0.665840 | + | 0.384423i | ||||
\(170\) | 1.55041 | + | 10.4935i | 0.118911 | + | 0.804813i | ||||
\(171\) | −6.72978 | − | 0.931510i | −0.514639 | − | 0.0712343i | ||||
\(172\) | −3.20711 | − | 7.86264i | −0.244540 | − | 0.599521i | ||||
\(173\) | 9.18383 | − | 2.46080i | 0.698234 | − | 0.187091i | 0.107794 | − | 0.994173i | \(-0.465621\pi\) |
0.590439 | + | 0.807082i | \(0.298955\pi\) | |||||||
\(174\) | −0.158677 | + | 0.271051i | −0.0120293 | + | 0.0205484i | ||||
\(175\) | 2.66408 | + | 5.81372i | 0.201385 | + | 0.439476i | ||||
\(176\) | −18.1945 | − | 5.08675i | −1.37146 | − | 0.383429i | ||||
\(177\) | 11.2071 | + | 22.9172i | 0.842374 | + | 1.72256i | ||||
\(178\) | −16.2038 | + | 1.01806i | −1.21453 | + | 0.0763068i | ||||
\(179\) | 10.1242 | 0.756718 | 0.378359 | − | 0.925659i | \(-0.376489\pi\) | ||||
0.378359 | + | 0.925659i | \(0.376489\pi\) | |||||||
\(180\) | −10.1438 | − | 8.78088i | −0.756072 | − | 0.654488i | ||||
\(181\) | −11.9884 | −0.891093 | −0.445546 | − | 0.895259i | \(-0.646991\pi\) | ||||
−0.445546 | + | 0.895259i | \(0.646991\pi\) | |||||||
\(182\) | −3.12936 | + | 0.196612i | −0.231963 | + | 0.0145739i | ||||
\(183\) | 10.1614 | − | 15.0988i | 0.751150 | − | 1.11613i | ||||
\(184\) | 1.81521 | − | 24.6315i | 0.133819 | − | 1.81585i | ||||
\(185\) | −1.36525 | + | 0.114873i | −0.100375 | + | 0.00844562i | ||||
\(186\) | −8.05565 | − | 14.1490i | −0.590669 | − | 1.03745i | ||||
\(187\) | 15.3030 | − | 4.10042i | 1.11906 | − | 0.299852i | ||||
\(188\) | 8.89483 | − | 3.62813i | 0.648722 | − | 0.264608i | ||||
\(189\) | 6.63570 | − | 0.368568i | 0.482676 | − | 0.0268094i | ||||
\(190\) | −4.26937 | + | 5.74968i | −0.309732 | + | 0.417126i | ||||
\(191\) | 15.1023 | + | 8.71934i | 1.09277 | + | 0.630909i | 0.934312 | − | 0.356457i | \(-0.116015\pi\) |
0.158455 | + | 0.987366i | \(0.449349\pi\) | |||||||
\(192\) | −13.2056 | + | 4.19671i | −0.953031 | + | 0.302871i | ||||
\(193\) | 0.0396255 | − | 0.147884i | 0.00285230 | − | 0.0106449i | −0.964485 | − | 0.264138i | \(-0.914913\pi\) |
0.967337 | + | 0.253493i | \(0.0815794\pi\) | |||||||
\(194\) | 4.16319 | − | 1.40067i | 0.298900 | − | 0.100562i | ||||
\(195\) | 5.76272 | − | 3.44472i | 0.412677 | − | 0.246681i | ||||
\(196\) | 8.54651 | − | 6.48483i | 0.610465 | − | 0.463202i | ||||
\(197\) | 12.6396 | − | 12.6396i | 0.900537 | − | 0.900537i | −0.0949454 | − | 0.995482i | \(-0.530268\pi\) |
0.995482 | + | 0.0949454i | \(0.0302676\pi\) | |||||||
\(198\) | −11.2879 | + | 16.5564i | −0.802195 | + | 1.17661i | ||||
\(199\) | 4.51135 | 0.319801 | 0.159901 | − | 0.987133i | \(-0.448883\pi\) | ||||
0.159901 | + | 0.987133i | \(0.448883\pi\) | |||||||
\(200\) | −13.2548 | + | 4.93056i | −0.937255 | + | 0.348643i | ||||
\(201\) | 0.127671 | − | 0.372041i | 0.00900519 | − | 0.0262418i | ||||
\(202\) | −21.4431 | − | 10.6467i | −1.50873 | − | 0.749101i | ||||
\(203\) | −0.158411 | − | 0.0424460i | −0.0111182 | − | 0.00297912i | ||||
\(204\) | 7.73745 | − | 8.66903i | 0.541730 | − | 0.606954i | ||||
\(205\) | −2.42140 | + | 13.4705i | −0.169118 | + | 0.940820i | ||||
\(206\) | 0.597679 | − | 2.96284i | 0.0416422 | − | 0.206431i | ||||
\(207\) | −24.1352 | − | 10.1855i | −1.67751 | − | 0.707940i | ||||
\(208\) | 0.0749965 | − | 6.93357i | 0.00520007 | − | 0.480756i | ||||
\(209\) | 9.26306 | + | 5.34803i | 0.640739 | + | 0.369931i | ||||
\(210\) | 3.01984 | − | 6.32111i | 0.208389 | − | 0.436198i | ||||
\(211\) | −17.0886 | + | 9.86612i | −1.17643 | + | 0.679212i | −0.955186 | − | 0.296007i | \(-0.904345\pi\) |
−0.221244 | + | 0.975219i | \(0.571012\pi\) | |||||||
\(212\) | 8.90239 | + | 6.90785i | 0.611418 | + | 0.474433i | ||||
\(213\) | −0.425932 | + | 6.18372i | −0.0291844 | + | 0.423701i | ||||
\(214\) | −10.2123 | + | 11.5816i | −0.698102 | + | 0.791704i | ||||
\(215\) | −4.04085 | + | 8.59098i | −0.275584 | + | 0.585900i | ||||
\(216\) | −0.265642 | + | 14.6945i | −0.0180747 | + | 0.999837i | ||||
\(217\) | 6.01143 | − | 6.01143i | 0.408082 | − | 0.408082i | ||||
\(218\) | −12.3351 | + | 0.774993i | −0.835438 | + | 0.0524892i | ||||
\(219\) | −7.89448 | − | 9.06247i | −0.533459 | − | 0.612385i | ||||
\(220\) | 9.58916 | + | 18.8200i | 0.646501 | + | 1.26885i | ||||
\(221\) | 2.90737 | + | 5.03572i | 0.195571 | + | 0.338739i | ||||
\(222\) | 1.05484 | + | 1.06763i | 0.0707963 | + | 0.0716546i | ||||
\(223\) | 5.63634 | + | 21.0351i | 0.377437 | + | 1.40862i | 0.849751 | + | 0.527185i | \(0.176752\pi\) |
−0.472313 | + | 0.881431i | \(0.656581\pi\) | |||||||
\(224\) | −3.93794 | − | 6.06962i | −0.263115 | − | 0.405543i | ||||
\(225\) | 0.455085 | + | 14.9931i | 0.0303390 | + | 0.999540i | ||||
\(226\) | 19.7837 | + | 3.99087i | 1.31599 | + | 0.265469i | ||||
\(227\) | 5.37144 | − | 1.43927i | 0.356515 | − | 0.0955279i | −0.0761161 | − | 0.997099i | \(-0.524252\pi\) |
0.432631 | + | 0.901571i | \(0.357585\pi\) | |||||||
\(228\) | 7.83235 | − | 0.444733i | 0.518710 | − | 0.0294532i | ||||
\(229\) | 10.3387 | − | 5.96903i | 0.683198 | − | 0.394445i | −0.117861 | − | 0.993030i | \(-0.537604\pi\) |
0.801059 | + | 0.598586i | \(0.204270\pi\) | |||||||
\(230\) | −21.6391 | + | 17.1538i | −1.42684 | + | 1.13109i | ||||
\(231\) | −9.89653 | − | 3.39612i | −0.651144 | − | 0.223448i | ||||
\(232\) | 0.119358 | − | 0.342466i | 0.00783627 | − | 0.0224840i | ||||
\(233\) | −11.6751 | − | 11.6751i | −0.764860 | − | 0.764860i | 0.212336 | − | 0.977197i | \(-0.431893\pi\) |
−0.977197 | + | 0.212336i | \(0.931893\pi\) | |||||||
\(234\) | −6.94188 | − | 2.42904i | −0.453805 | − | 0.158791i | ||||
\(235\) | −9.71878 | − | 4.57133i | −0.633983 | − | 0.298200i | ||||
\(236\) | −17.8058 | − | 23.4666i | −1.15906 | − | 1.52755i | ||||
\(237\) | 1.77346 | − | 2.63518i | 0.115199 | − | 0.171173i | ||||
\(238\) | 5.43434 | + | 2.69821i | 0.352256 | + | 0.174899i | ||||
\(239\) | −0.436965 | − | 0.756846i | −0.0282649 | − | 0.0489563i | 0.851547 | − | 0.524278i | \(-0.175665\pi\) |
−0.879812 | + | 0.475322i | \(0.842332\pi\) | |||||||
\(240\) | 13.4500 | + | 7.68745i | 0.868195 | + | 0.496223i | ||||
\(241\) | 2.51048 | − | 4.34827i | 0.161714 | − | 0.280097i | −0.773770 | − | 0.633467i | \(-0.781631\pi\) |
0.935483 | + | 0.353370i | \(0.114964\pi\) | |||||||
\(242\) | 13.3199 | − | 8.84808i | 0.856236 | − | 0.568776i | ||||
\(243\) | 14.6759 | + | 5.25517i | 0.941462 | + | 0.337119i | ||||
\(244\) | −8.14702 | + | 19.3717i | −0.521559 | + | 1.24014i | ||||
\(245\) | −11.8054 | − | 2.12208i | −0.754217 | − | 0.135575i | ||||
\(246\) | 13.0290 | − | 7.41798i | 0.830697 | − | 0.472953i | ||||
\(247\) | −1.01606 | + | 3.79198i | −0.0646503 | + | 0.241278i | ||||
\(248\) | 12.2808 | + | 14.2349i | 0.779832 | + | 0.903916i | ||||
\(249\) | −1.99144 | − | 10.1884i | −0.126203 | − | 0.645663i | ||||
\(250\) | 14.0910 | + | 7.17237i | 0.891195 | + | 0.453620i | ||||
\(251\) | − | 13.7627i | − | 0.868694i | −0.900746 | − | 0.434347i | \(-0.856979\pi\) | ||
0.900746 | − | 0.434347i | \(-0.143021\pi\) | |||||||
\(252\) | −7.43596 | + | 1.89672i | −0.468422 | + | 0.119482i | ||||
\(253\) | 29.1628 | + | 29.1628i | 1.83345 | + | 1.83345i | ||||
\(254\) | 13.3957 | − | 15.1918i | 0.840522 | − | 0.953220i | ||||
\(255\) | −12.9899 | + | 0.197095i | −0.813456 | + | 0.0123426i | ||||
\(256\) | 14.0262 | − | 7.69841i | 0.876638 | − | 0.481151i | ||||
\(257\) | −7.55276 | − | 2.02376i | −0.471128 | − | 0.126238i | 0.0154403 | − | 0.999881i | \(-0.495085\pi\) |
−0.486569 | + | 0.873642i | \(0.661752\pi\) | |||||||
\(258\) | 10.0617 | − | 2.63114i | 0.626412 | − | 0.163808i | ||||
\(259\) | −0.391834 | + | 0.678677i | −0.0243474 | + | 0.0421709i | ||||
\(260\) | −5.76119 | + | 5.18735i | −0.357294 | + | 0.321706i | ||||
\(261\) | −0.303617 | − | 0.236194i | −0.0187934 | − | 0.0146200i | ||||
\(262\) | −14.1861 | − | 21.3558i | −0.876419 | − | 1.31936i | ||||
\(263\) | −6.86249 | − | 25.6112i | −0.423159 | − | 1.57925i | −0.767910 | − | 0.640558i | \(-0.778703\pi\) |
0.344751 | − | 0.938694i | \(-0.387963\pi\) | |||||||
\(264\) | 9.09841 | − | 21.2742i | 0.559969 | − | 1.30934i | ||||
\(265\) | −1.05628 | − | 12.5538i | −0.0648870 | − | 0.771174i | ||||
\(266\) | 1.30621 | + | 3.88243i | 0.0800890 | + | 0.238047i | ||||
\(267\) | 1.36641 | − | 19.8377i | 0.0836231 | − | 1.21405i | ||||
\(268\) | −0.0617177 | + | 0.449975i | −0.00377001 | + | 0.0274866i | ||||
\(269\) | 11.4113i | 0.695760i | 0.937539 | + | 0.347880i | \(0.113098\pi\) | ||||
−0.937539 | + | 0.347880i | \(0.886902\pi\) | |||||||
\(270\) | 12.2907 | − | 10.9059i | 0.747986 | − | 0.663714i | ||||
\(271\) | 19.0120i | 1.15490i | 0.816428 | + | 0.577448i | \(0.195951\pi\) | ||||
−0.816428 | + | 0.577448i | \(0.804049\pi\) | |||||||
\(272\) | −6.83399 | + | 11.5466i | −0.414372 | + | 0.700114i | ||||
\(273\) | 0.263888 | − | 3.83114i | 0.0159712 | − | 0.231871i | ||||
\(274\) | 19.2682 | − | 6.48261i | 1.16403 | − | 0.391629i | ||||
\(275\) | 8.22423 | − | 22.1369i | 0.495940 | − | 1.33491i | ||||
\(276\) | 29.6152 | + | 6.16005i | 1.78262 | + | 0.370791i | ||||
\(277\) | −6.28504 | − | 23.4561i | −0.377632 | − | 1.40934i | −0.849461 | − | 0.527651i | \(-0.823073\pi\) |
0.471830 | − | 0.881690i | \(-0.343594\pi\) | |||||||
\(278\) | 0.387777 | − | 0.257591i | 0.0232573 | − | 0.0154493i | ||||
\(279\) | 18.4731 | − | 7.50843i | 1.10595 | − | 0.449518i | ||||
\(280\) | −2.01241 | + | 7.83484i | −0.120264 | + | 0.468221i | ||||
\(281\) | 3.37501 | − | 5.84569i | 0.201336 | − | 0.348725i | −0.747623 | − | 0.664123i | \(-0.768805\pi\) |
0.948959 | + | 0.315399i | \(0.102138\pi\) | |||||||
\(282\) | 2.97655 | + | 11.3825i | 0.177251 | + | 0.677820i | ||||
\(283\) | −24.5152 | − | 6.56883i | −1.45728 | − | 0.390477i | −0.558730 | − | 0.829350i | \(-0.688711\pi\) |
−0.898549 | + | 0.438873i | \(0.855378\pi\) | |||||||
\(284\) | −0.895821 | − | 7.10098i | −0.0531572 | − | 0.421365i | ||||
\(285\) | −6.29537 | − | 6.10719i | −0.372906 | − | 0.361759i | ||||
\(286\) | 8.68466 | + | 7.65789i | 0.513535 | + | 0.452820i | ||||
\(287\) | 5.53557 | + | 5.53557i | 0.326754 | + | 0.326754i | ||||
\(288\) | −2.97455 | − | 16.7078i | −0.175277 | − | 0.984519i | ||||
\(289\) | 5.74832i | 0.338136i | ||||||||
\(290\) | −0.372116 | + | 0.161065i | −0.0218514 | + | 0.00945804i | ||||
\(291\) | 1.03200 | + | 5.27978i | 0.0604967 | + | 0.309506i | ||||
\(292\) | 10.9644 | + | 8.50787i | 0.641642 | + | 0.497885i | ||||
\(293\) | −3.68313 | + | 13.7456i | −0.215170 | + | 0.803027i | 0.770936 | + | 0.636913i | \(0.219789\pi\) |
−0.986106 | + | 0.166115i | \(0.946878\pi\) | |||||||
\(294\) | 6.50102 | + | 11.4184i | 0.379147 | + | 0.665936i | ||||
\(295\) | −5.82673 | + | 32.4147i | −0.339245 | + | 1.88726i | ||||
\(296\) | −1.43310 | − | 0.974472i | −0.0832970 | − | 0.0566400i | ||||
\(297\) | −18.2893 | − | 16.3645i | −1.06125 | − | 0.949566i | ||||
\(298\) | −3.77306 | − | 5.67997i | −0.218567 | − | 0.329032i | ||||
\(299\) | −7.56856 | + | 13.1091i | −0.437701 | + | 0.758121i | ||||
\(300\) | −3.85767 | − | 16.8854i | −0.222723 | − | 0.974882i | ||||
\(301\) | 2.71520 | + | 4.70286i | 0.156501 | + | 0.271068i | ||||
\(302\) | −1.62796 | + | 3.27880i | −0.0936788 | + | 0.188674i | ||||
\(303\) | 16.3709 | − | 24.3255i | 0.940483 | − | 1.39746i | ||||
\(304\) | −8.77477 | + | 2.24976i | −0.503268 | + | 0.129033i | ||||
\(305\) | 22.1052 | − | 7.96255i | 1.26574 | − | 0.455934i | ||||
\(306\) | 9.28295 | + | 10.7869i | 0.530671 | + | 0.616646i | ||||
\(307\) | 11.2982 | + | 11.2982i | 0.644820 | + | 0.644820i | 0.951736 | − | 0.306916i | \(-0.0992972\pi\) |
−0.306916 | + | 0.951736i | \(0.599297\pi\) | |||||||
\(308\) | 11.9696 | + | 1.64173i | 0.682031 | + | 0.0935462i | ||||
\(309\) | 3.50139 | + | 1.20155i | 0.199187 | + | 0.0683536i | ||||
\(310\) | 2.41421 | − | 20.8802i | 0.137118 | − | 1.18592i | ||||
\(311\) | 0.274459 | − | 0.158459i | 0.0155631 | − | 0.00898539i | −0.492198 | − | 0.870483i | \(-0.663806\pi\) |
0.507761 | + | 0.861498i | \(0.330473\pi\) | |||||||
\(312\) | 8.40647 | + | 1.20466i | 0.475923 | + | 0.0682006i | ||||
\(313\) | −15.5526 | + | 4.16730i | −0.879084 | + | 0.235550i | −0.670012 | − | 0.742350i | \(-0.733711\pi\) |
−0.209072 | + | 0.977900i | \(0.567044\pi\) | |||||||
\(314\) | −0.230141 | + | 1.14087i | −0.0129876 | + | 0.0643827i | ||||
\(315\) | 7.18987 | + | 4.68184i | 0.405103 | + | 0.263792i | ||||
\(316\) | −1.42189 | + | 3.38093i | −0.0799878 | + | 0.190192i | ||||
\(317\) | −1.88014 | − | 7.01678i | −0.105599 | − | 0.394102i | 0.892813 | − | 0.450427i | \(-0.148728\pi\) |
−0.998412 | + | 0.0563253i | \(0.982062\pi\) | |||||||
\(318\) | −9.81711 | + | 9.69952i | −0.550516 | + | 0.543922i | ||||
\(319\) | 0.302803 | + | 0.524470i | 0.0169537 | + | 0.0293647i | ||||
\(320\) | −16.9522 | − | 5.71163i | −0.947657 | − | 0.319290i | ||||
\(321\) | −12.4218 | − | 14.2596i | −0.693319 | − | 0.795896i | ||||
\(322\) | 0.990398 | + | 15.7636i | 0.0551927 | + | 0.878469i | ||||
\(323\) | 5.37149 | − | 5.37149i | 0.298877 | − | 0.298877i | ||||
\(324\) | −17.7990 | − | 2.68263i | −0.988832 | − | 0.149035i | ||||
\(325\) | 8.62927 | + | 0.812797i | 0.478666 | + | 0.0450859i | ||||
\(326\) | 8.05759 | + | 7.10496i | 0.446269 | + | 0.393507i | ||||
\(327\) | 1.04018 | − | 15.1013i | 0.0575219 | − | 0.835107i | ||||
\(328\) | −13.1081 | + | 11.3087i | −0.723772 | + | 0.624417i | ||||
\(329\) | −5.32024 | + | 3.07164i | −0.293314 | + | 0.169345i | ||||
\(330\) | −24.3908 | + | 8.62016i | −1.34267 | + | 0.474524i | ||||
\(331\) | −16.1022 | − | 9.29663i | −0.885059 | − | 0.510989i | −0.0127361 | − | 0.999919i | \(-0.504054\pi\) |
−0.872323 | + | 0.488930i | \(0.837387\pi\) | |||||||
\(332\) | 4.52733 | + | 11.0993i | 0.248470 | + | 0.609156i | ||||
\(333\) | −1.46570 | + | 1.10928i | −0.0803199 | + | 0.0607882i | ||||
\(334\) | 4.87423 | + | 0.983254i | 0.266706 | + | 0.0538013i | ||||
\(335\) | 0.416929 | − | 0.289876i | 0.0227792 | − | 0.0158376i | ||||
\(336\) | 8.00201 | − | 3.80648i | 0.436545 | − | 0.207661i | ||||
\(337\) | 12.7388 | + | 3.41334i | 0.693925 | + | 0.185937i | 0.588508 | − | 0.808492i | \(-0.299716\pi\) |
0.105417 | + | 0.994428i | \(0.466382\pi\) | |||||||
\(338\) | 6.28604 | − | 12.6604i | 0.341915 | − | 0.688635i | ||||
\(339\) | −8.02307 | + | 23.3798i | −0.435753 | + | 1.26982i | ||||
\(340\) | 14.6733 | − | 3.11884i | 0.795773 | − | 0.169143i | ||||
\(341\) | −31.3937 | −1.70006 | ||||||||
\(342\) | −0.717979 | + | 9.58122i | −0.0388239 | + | 0.518093i | ||||
\(343\) | −11.1821 | + | 11.1821i | −0.603775 | + | 0.603775i | ||||
\(344\) | −10.8132 | + | 5.22385i | −0.583007 | + | 0.281651i | ||||
\(345\) | −17.3521 | − | 29.0286i | −0.934207 | − | 1.56285i | ||||
\(346\) | −4.28765 | − | 12.7441i | −0.230505 | − | 0.685128i | ||||
\(347\) | −5.48950 | + | 20.4871i | −0.294692 | + | 1.09981i | 0.646770 | + | 0.762685i | \(0.276119\pi\) |
−0.941462 | + | 0.337120i | \(0.890547\pi\) | |||||||
\(348\) | 0.396641 | + | 0.199925i | 0.0212622 | + | 0.0107171i | ||||
\(349\) | −12.8275 | − | 7.40594i | −0.686638 | − | 0.396431i | 0.115713 | − | 0.993283i | \(-0.463085\pi\) |
−0.802351 | + | 0.596852i | \(0.796418\pi\) | |||||||
\(350\) | 7.96941 | − | 4.27571i | 0.425983 | − | 0.228546i | ||||
\(351\) | 4.06421 | − | 8.03848i | 0.216931 | − | 0.429062i | ||||
\(352\) | −5.56615 | + | 26.1314i | −0.296677 | + | 1.39281i | ||||
\(353\) | 9.45878 | − | 2.53447i | 0.503440 | − | 0.134896i | 0.00184405 | − | 0.999998i | \(-0.499413\pi\) |
0.501596 | + | 0.865102i | \(0.332746\pi\) | |||||||
\(354\) | 31.3523 | − | 17.8502i | 1.66635 | − | 0.948729i | ||||
\(355\) | −5.16397 | + | 6.11280i | −0.274075 | + | 0.324434i | ||||
\(356\) | 2.87384 | + | 22.7803i | 0.152313 | + | 1.20735i | ||||
\(357\) | −4.14890 | + | 6.16484i | −0.219583 | + | 0.326278i | ||||
\(358\) | −0.897791 | − | 14.2896i | −0.0474497 | − | 0.755229i | ||||
\(359\) | −13.1380 | −0.693398 | −0.346699 | − | 0.937976i | \(-0.612697\pi\) | ||||
−0.346699 | + | 0.937976i | \(0.612697\pi\) | |||||||
\(360\) | −11.4941 | + | 15.0959i | −0.605791 | + | 0.795624i | ||||
\(361\) | −13.8714 | −0.730072 | ||||||||
\(362\) | 1.06311 | + | 16.9208i | 0.0558757 | + | 0.889339i | ||||
\(363\) | 8.60373 | + | 17.5937i | 0.451579 | + | 0.923430i | ||||
\(364\) | 0.555009 | + | 4.39944i | 0.0290904 | + | 0.230593i | ||||
\(365\) | −1.30094 | − | 15.4615i | −0.0680945 | − | 0.809294i | ||||
\(366\) | −22.2120 | − | 13.0031i | −1.16104 | − | 0.679685i | ||||
\(367\) | 9.29775 | − | 2.49132i | 0.485339 | − | 0.130046i | −0.00784877 | − | 0.999969i | \(-0.502498\pi\) |
0.493187 | + | 0.869923i | \(0.335832\pi\) | |||||||
\(368\) | −34.9266 | − | 0.377781i | −1.82067 | − | 0.0196932i | ||||
\(369\) | 6.91408 | + | 17.0108i | 0.359932 | + | 0.885546i | ||||
\(370\) | 0.283202 | + | 1.91677i | 0.0147230 | + | 0.0996480i | ||||
\(371\) | −6.24060 | − | 3.60301i | −0.323996 | − | 0.187059i | ||||
\(372\) | −19.2560 | + | 12.6247i | −0.998375 | + | 0.654560i | ||||
\(373\) | 6.37059 | − | 23.7754i | 0.329857 | − | 1.23104i | −0.579482 | − | 0.814985i | \(-0.696745\pi\) |
0.909339 | − | 0.416057i | \(-0.136588\pi\) | |||||||
\(374\) | −7.14449 | − | 21.2355i | −0.369433 | − | 1.09806i | ||||
\(375\) | −10.9716 | + | 15.9569i | −0.566573 | + | 0.824012i | ||||
\(376\) | −5.90963 | − | 12.2327i | −0.304766 | − | 0.630853i | ||||
\(377\) | −0.157172 | + | 0.157172i | −0.00809475 | + | 0.00809475i | ||||
\(378\) | −1.10865 | − | 9.33314i | −0.0570227 | − | 0.480045i | ||||
\(379\) | 25.5740 | 1.31365 | 0.656824 | − | 0.754044i | \(-0.271900\pi\) | ||||
0.656824 | + | 0.754044i | \(0.271900\pi\) | |||||||
\(380\) | 8.49387 | + | 5.51604i | 0.435726 | + | 0.282967i | ||||
\(381\) | 16.2939 | + | 18.7046i | 0.834764 | + | 0.958267i | ||||
\(382\) | 10.9675 | − | 22.0891i | 0.561146 | − | 1.13018i | ||||
\(383\) | −6.90254 | − | 1.84953i | −0.352703 | − | 0.0945066i | 0.0781172 | − | 0.996944i | \(-0.475109\pi\) |
−0.430821 | + | 0.902438i | \(0.641776\pi\) | |||||||
\(384\) | 7.09440 | + | 18.2666i | 0.362035 | + | 0.932165i | ||||
\(385\) | −7.71089 | − | 11.0906i | −0.392983 | − | 0.565227i | ||||
\(386\) | −0.212242 | − | 0.0428145i | −0.0108028 | − | 0.00217920i | ||||
\(387\) | 1.57864 | + | 12.6391i | 0.0802467 | + | 0.642484i | ||||
\(388\) | −2.34613 | − | 5.75185i | −0.119107 | − | 0.292006i | ||||
\(389\) | −16.2146 | − | 9.36152i | −0.822114 | − | 0.474648i | 0.0290309 | − | 0.999579i | \(-0.490758\pi\) |
−0.851145 | + | 0.524931i | \(0.824091\pi\) | |||||||
\(390\) | −5.37301 | − | 7.82820i | −0.272073 | − | 0.396396i | ||||
\(391\) | 25.3665 | − | 14.6454i | 1.28284 | − | 0.740647i | ||||
\(392\) | −9.91078 | − | 11.4877i | −0.500570 | − | 0.580218i | ||||
\(393\) | 28.2079 | − | 13.7943i | 1.42290 | − | 0.695832i | ||||
\(394\) | −18.9608 | − | 16.7191i | −0.955233 | − | 0.842297i | ||||
\(395\) | 3.85802 | − | 1.38970i | 0.194118 | − | 0.0699234i | ||||
\(396\) | 24.3692 | + | 14.4639i | 1.22460 | + | 0.726837i | ||||
\(397\) | −14.6750 | + | 14.6750i | −0.736518 | + | 0.736518i | −0.971902 | − | 0.235385i | \(-0.924365\pi\) |
0.235385 | + | 0.971902i | \(0.424365\pi\) | |||||||
\(398\) | −0.400057 | − | 6.36746i | −0.0200530 | − | 0.319172i | ||||
\(399\) | −4.92372 | + | 0.962400i | −0.246494 | + | 0.0481803i | ||||
\(400\) | 8.13455 | + | 18.2710i | 0.406728 | + | 0.913549i | ||||
\(401\) | 0.918687 | + | 1.59121i | 0.0458770 | + | 0.0794613i | 0.888052 | − | 0.459743i | \(-0.152058\pi\) |
−0.842175 | + | 0.539204i | \(0.818725\pi\) | |||||||
\(402\) | −0.536432 | − | 0.147206i | −0.0267548 | − | 0.00734199i | ||||
\(403\) | −2.98220 | − | 11.1297i | −0.148554 | − | 0.554412i | ||||
\(404\) | −13.1256 | + | 31.2095i | −0.653022 | + | 1.55273i | ||||
\(405\) | 11.2676 | + | 16.6745i | 0.559893 | + | 0.828565i | ||||
\(406\) | −0.0458620 | + | 0.227349i | −0.00227610 | + | 0.0112832i | ||||
\(407\) | 2.79528 | − | 0.748994i | 0.138557 | − | 0.0371262i | ||||
\(408\) | −12.9219 | − | 10.1521i | −0.639728 | − | 0.502605i | ||||
\(409\) | −28.6242 | + | 16.5262i | −1.41538 | + | 0.817169i | −0.995888 | − | 0.0905917i | \(-0.971124\pi\) |
−0.419489 | + | 0.907760i | \(0.637791\pi\) | |||||||
\(410\) | 19.2274 | + | 2.22310i | 0.949573 | + | 0.109791i | ||||
\(411\) | 4.77631 | + | 24.4360i | 0.235598 | + | 1.20534i | ||||
\(412\) | −4.23484 | − | 0.580844i | −0.208636 | − | 0.0286161i | ||||
\(413\) | 13.3205 | + | 13.3205i | 0.655460 | + | 0.655460i | ||||
\(414\) | −12.2358 | + | 34.9684i | −0.601359 | + | 1.71860i | ||||
\(415\) | 5.70429 | − | 12.1275i | 0.280013 | − | 0.595315i | ||||
\(416\) | −9.79290 | + | 0.509001i | −0.480136 | + | 0.0249558i | ||||
\(417\) | 0.250477 | + | 0.512199i | 0.0122659 | + | 0.0250825i | ||||
\(418\) | 6.72694 | − | 13.5484i | 0.329026 | − | 0.662675i | ||||
\(419\) | −5.70437 | − | 9.88026i | −0.278677 | − | 0.482682i | 0.692379 | − | 0.721534i | \(-0.256563\pi\) |
−0.971056 | + | 0.238851i | \(0.923229\pi\) | |||||||
\(420\) | −9.18960 | − | 3.70176i | −0.448407 | − | 0.180627i | ||||
\(421\) | −8.63872 | + | 14.9627i | −0.421025 | + | 0.729237i | −0.996040 | − | 0.0889059i | \(-0.971663\pi\) |
0.575015 | + | 0.818143i | \(0.304996\pi\) | |||||||
\(422\) | 15.4407 | + | 23.2445i | 0.751643 | + | 1.13152i | ||||
\(423\) | −14.2984 | + | 1.78588i | −0.695211 | + | 0.0868324i | ||||
\(424\) | 8.96051 | − | 13.1777i | 0.435161 | − | 0.639964i | ||||
\(425\) | −13.6744 | − | 9.71100i | −0.663305 | − | 0.471053i | ||||
\(426\) | 8.76566 | + | 0.0528156i | 0.424698 | + | 0.00255892i | ||||
\(427\) | 3.47834 | − | 12.9813i | 0.168329 | − | 0.628211i | ||||
\(428\) | 17.2523 | + | 13.3870i | 0.833920 | + | 0.647084i | ||||
\(429\) | −10.6928 | + | 9.31470i | −0.516254 | + | 0.449718i | ||||
\(430\) | 12.4839 | + | 4.94156i | 0.602027 | + | 0.238303i | ||||
\(431\) | 19.8257i | 0.954969i | 0.878640 | + | 0.477485i | \(0.158451\pi\) | ||||
−0.878640 | + | 0.477485i | \(0.841549\pi\) | |||||||
\(432\) | 20.7639 | − | 0.928144i | 0.999002 | − | 0.0446553i | ||||
\(433\) | −7.04263 | − | 7.04263i | −0.338447 | − | 0.338447i | 0.517335 | − | 0.855783i | \(-0.326924\pi\) |
−0.855783 | + | 0.517335i | \(0.826924\pi\) | |||||||
\(434\) | −9.01779 | − | 7.95163i | −0.432868 | − | 0.381691i | ||||
\(435\) | −0.135794 | − | 0.477680i | −0.00651082 | − | 0.0229030i | ||||
\(436\) | 2.18770 | + | 17.3414i | 0.104772 | + | 0.830503i | ||||
\(437\) | 19.1014 | + | 5.11821i | 0.913745 | + | 0.244837i | ||||
\(438\) | −12.0910 | + | 11.9461i | −0.577729 | + | 0.570809i | ||||
\(439\) | 9.99048 | − | 17.3040i | 0.476820 | − | 0.825876i | −0.522827 | − | 0.852439i | \(-0.675123\pi\) |
0.999647 | + | 0.0265624i | \(0.00845608\pi\) | |||||||
\(440\) | 25.7128 | − | 15.2034i | 1.22581 | − | 0.724792i | ||||
\(441\) | −14.9080 | + | 6.05941i | −0.709906 | + | 0.288543i | ||||
\(442\) | 6.84975 | − | 4.55011i | 0.325809 | − | 0.216427i | ||||
\(443\) | 1.02637 | + | 3.83048i | 0.0487645 | + | 0.181992i | 0.986012 | − | 0.166672i | \(-0.0533022\pi\) |
−0.937248 | + | 0.348664i | \(0.886636\pi\) | |||||||
\(444\) | 1.41334 | − | 1.58351i | 0.0670743 | − | 0.0751500i | ||||
\(445\) | 16.5663 | − | 19.6102i | 0.785317 | − | 0.929612i | ||||
\(446\) | 29.1898 | − | 9.82065i | 1.38218 | − | 0.465021i | ||||
\(447\) | 7.50243 | − | 3.66886i | 0.354853 | − | 0.173531i | ||||
\(448\) | −8.21763 | + | 6.09638i | −0.388247 | + | 0.288027i | ||||
\(449\) | 30.8275i | 1.45484i | 0.686192 | + | 0.727421i | \(0.259281\pi\) | ||||
−0.686192 | + | 0.727421i | \(0.740719\pi\) | |||||||
\(450\) | 21.1214 | − | 1.97188i | 0.995670 | − | 0.0929551i | ||||
\(451\) | − | 28.9086i | − | 1.36125i | ||||||
\(452\) | 3.87846 | − | 28.2773i | 0.182427 | − | 1.33005i | ||||
\(453\) | −3.71955 | − | 2.50323i | −0.174760 | − | 0.117612i | ||||
\(454\) | −2.50776 | − | 7.45378i | −0.117695 | − | 0.349823i | ||||
\(455\) | 3.19936 | − | 3.78721i | 0.149988 | − | 0.177547i | ||||
\(456\) | −1.32227 | − | 11.0154i | −0.0619208 | − | 0.515843i | ||||
\(457\) | −2.78598 | − | 10.3974i | −0.130323 | − | 0.486371i | 0.869651 | − | 0.493667i | \(-0.164344\pi\) |
−0.999973 | + | 0.00729685i | \(0.997677\pi\) | |||||||
\(458\) | −9.34168 | − | 14.0630i | −0.436508 | − | 0.657120i | ||||
\(459\) | −14.5881 | + | 9.53856i | −0.680912 | + | 0.445222i | ||||
\(460\) | 26.1303 | + | 29.0209i | 1.21833 | + | 1.35311i | ||||
\(461\) | −15.9437 | + | 27.6153i | −0.742573 | + | 1.28617i | 0.208748 | + | 0.977970i | \(0.433061\pi\) |
−0.951320 | + | 0.308204i | \(0.900272\pi\) | |||||||
\(462\) | −3.91578 | + | 14.2694i | −0.182179 | + | 0.663874i | ||||
\(463\) | 22.2015 | + | 5.94888i | 1.03179 | + | 0.276468i | 0.734708 | − | 0.678384i | \(-0.237319\pi\) |
0.297084 | + | 0.954851i | \(0.403986\pi\) | |||||||
\(464\) | −0.493952 | − | 0.138097i | −0.0229311 | − | 0.00641099i | ||||
\(465\) | 24.9644 | + | 6.28485i | 1.15769 | + | 0.291453i | ||||
\(466\) | −15.4433 | + | 17.5139i | −0.715395 | + | 0.811315i | ||||
\(467\) | −2.56401 | − | 2.56401i | −0.118648 | − | 0.118648i | 0.645290 | − | 0.763938i | \(-0.276737\pi\) |
−0.763938 | + | 0.645290i | \(0.776737\pi\) | |||||||
\(468\) | −2.81283 | + | 10.0134i | −0.130023 | + | 0.462869i | ||||
\(469\) | − | 0.290455i | − | 0.0134120i | ||||||
\(470\) | −5.59027 | + | 14.1228i | −0.257860 | + | 0.651434i | ||||
\(471\) | −1.34824 | − | 0.462665i | −0.0621236 | − | 0.0213185i | ||||
\(472\) | −31.5426 | + | 27.2126i | −1.45186 | + | 1.25256i | ||||
\(473\) | 5.19012 | − | 19.3698i | 0.238642 | − | 0.890624i | ||||
\(474\) | −3.87664 | − | 2.26943i | −0.178060 | − | 0.104238i | ||||
\(475\) | −1.89209 | − | 11.1640i | −0.0868152 | − | 0.512241i | ||||
\(476\) | 3.32644 | − | 7.90947i | 0.152467 | − | 0.362530i | ||||
\(477\) | −10.2001 | − | 13.4775i | −0.467031 | − | 0.617091i | ||||
\(478\) | −1.02949 | + | 0.683862i | −0.0470876 | + | 0.0312791i | ||||
\(479\) | −11.2386 | + | 19.4658i | −0.513503 | + | 0.889413i | 0.486374 | + | 0.873751i | \(0.338319\pi\) |
−0.999877 | + | 0.0156629i | \(0.995014\pi\) | |||||||
\(480\) | 9.65759 | − | 19.6655i | 0.440807 | − | 0.897602i | ||||
\(481\) | 0.531069 | + | 0.919839i | 0.0242147 | + | 0.0419410i | ||||
\(482\) | −6.35991 | − | 3.15777i | −0.289686 | − | 0.143832i | ||||
\(483\) | −19.2987 | − | 1.32929i | −0.878120 | − | 0.0604846i | ||||
\(484\) | −13.6696 | − | 18.0155i | −0.621347 | − | 0.818886i | ||||
\(485\) | −2.95605 | + | 6.28465i | −0.134227 | + | 0.285371i | ||||
\(486\) | 6.11587 | − | 21.1801i | 0.277422 | − | 0.960748i | ||||
\(487\) | −28.4083 | − | 28.4083i | −1.28730 | − | 1.28730i | −0.936419 | − | 0.350884i | \(-0.885881\pi\) |
−0.350884 | − | 0.936419i | \(-0.614119\pi\) | |||||||
\(488\) | 28.0642 | + | 9.78112i | 1.27041 | + | 0.442770i | ||||
\(489\) | −9.92075 | + | 8.64214i | −0.448632 | + | 0.390811i | ||||
\(490\) | −1.94830 | + | 16.8506i | −0.0880152 | + | 0.761234i | ||||
\(491\) | −1.15961 | + | 0.669504i | −0.0523327 | + | 0.0302143i | −0.525938 | − | 0.850523i | \(-0.676286\pi\) |
0.473605 | + | 0.880737i | \(0.342952\pi\) | |||||||
\(492\) | −11.6253 | − | 17.7317i | −0.524111 | − | 0.799406i | ||||
\(493\) | 0.415450 | − | 0.111320i | 0.0187109 | − | 0.00501358i | ||||
\(494\) | 5.44223 | + | 1.09783i | 0.244857 | + | 0.0493938i | ||||
\(495\) | −6.54890 | − | 30.9990i | −0.294351 | − | 1.39330i | ||||
\(496\) | 19.0025 | − | 18.5958i | 0.853238 | − | 0.834977i | ||||
\(497\) | 1.18464 | + | 4.42114i | 0.0531384 | + | 0.198315i | ||||
\(498\) | −14.2036 | + | 3.71427i | −0.636479 | + | 0.166440i | ||||
\(499\) | −0.505584 | − | 0.875696i | −0.0226330 | − | 0.0392016i | 0.854487 | − | 0.519473i | \(-0.173872\pi\) |
−0.877120 | + | 0.480271i | \(0.840538\pi\) | |||||||
\(500\) | 8.87374 | − | 20.5245i | 0.396846 | − | 0.917885i | ||||
\(501\) | −1.97669 | + | 5.76022i | −0.0883120 | + | 0.257348i | ||||
\(502\) | −19.4251 | + | 1.22045i | −0.866984 | + | 0.0544712i | ||||
\(503\) | −8.72286 | + | 8.72286i | −0.388933 | + | 0.388933i | −0.874307 | − | 0.485374i | \(-0.838684\pi\) |
0.485374 | + | 0.874307i | \(0.338684\pi\) | |||||||
\(504\) | 3.33650 | + | 10.3271i | 0.148620 | + | 0.460008i | ||||
\(505\) | 35.6136 | − | 12.8284i | 1.58478 | − | 0.570856i | ||||
\(506\) | 38.5752 | − | 43.7474i | 1.71488 | − | 1.94481i | ||||
\(507\) | 14.3623 | + | 9.66570i | 0.637850 | + | 0.429269i | ||||
\(508\) | −22.6301 | − | 17.5600i | −1.00405 | − | 0.779097i | ||||
\(509\) | 20.7421 | − | 11.9755i | 0.919377 | − | 0.530803i | 0.0359411 | − | 0.999354i | \(-0.488557\pi\) |
0.883436 | + | 0.468551i | \(0.155224\pi\) | |||||||
\(510\) | 1.43010 | + | 18.3168i | 0.0633258 | + | 0.811082i | ||||
\(511\) | −7.68606 | − | 4.43755i | −0.340011 | − | 0.196306i | ||||
\(512\) | −12.1096 | − | 19.1143i | −0.535173 | − | 0.844742i | ||||
\(513\) | −11.5179 | − | 2.41059i | −0.508528 | − | 0.106430i | ||||
\(514\) | −2.18663 | + | 10.8397i | −0.0964481 | + | 0.478117i | ||||
\(515\) | 2.72811 | + | 3.92384i | 0.120215 | + | 0.172905i | ||||
\(516\) | −4.60592 | − | 13.9680i | −0.202764 | − | 0.614908i | ||||
\(517\) | 21.9126 | + | 5.87146i | 0.963715 | + | 0.258227i | ||||
\(518\) | 0.992652 | + | 0.492863i | 0.0436146 | + | 0.0216552i | ||||
\(519\) | 16.1621 | − | 3.15909i | 0.709439 | − | 0.138668i | ||||
\(520\) | 7.83248 | + | 7.67152i | 0.343477 | + | 0.336419i | ||||
\(521\) | 28.1608 | 1.23375 | 0.616874 | − | 0.787062i | \(-0.288399\pi\) | ||||
0.616874 | + | 0.787062i | \(0.288399\pi\) | |||||||
\(522\) | −0.306447 | + | 0.449479i | −0.0134128 | + | 0.0196732i | ||||
\(523\) | 8.02286 | − | 8.02286i | 0.350815 | − | 0.350815i | −0.509598 | − | 0.860413i | \(-0.670206\pi\) |
0.860413 | + | 0.509598i | \(0.170206\pi\) | |||||||
\(524\) | −28.8842 | + | 21.9164i | −1.26181 | + | 0.957424i | ||||
\(525\) | 3.91145 | + | 10.3629i | 0.170710 | + | 0.452275i | ||||
\(526\) | −35.5398 | + | 11.9571i | −1.54961 | + | 0.521353i | ||||
\(527\) | −5.77064 | + | 21.5363i | −0.251373 | + | 0.938137i | ||||
\(528\) | −30.8339 | − | 10.9552i | −1.34187 | − | 0.476765i | ||||
\(529\) | 46.1162 | + | 26.6252i | 2.00505 | + | 1.15762i | ||||
\(530\) | −17.6251 | + | 2.60412i | −0.765587 | + | 0.113116i | ||||
\(531\) | 16.6377 | + | 40.9339i | 0.722014 | + | 1.77638i | ||||
\(532\) | 5.36395 | − | 2.18791i | 0.232557 | − | 0.0948580i | ||||
\(533\) | 10.2487 | − | 2.74614i | 0.443921 | − | 0.118948i | ||||
\(534\) | −28.1207 | − | 0.169435i | −1.21690 | − | 0.00733218i | ||||
\(535\) | −2.04701 | − | 24.3285i | −0.0885001 | − | 1.05181i | ||||
\(536\) | 0.640581 | + | 0.0472075i | 0.0276689 | + | 0.00203905i | ||||
\(537\) | 17.4942 | + | 1.20499i | 0.754929 | + | 0.0519993i | ||||
\(538\) | 16.1063 | − | 1.01193i | 0.694390 | − | 0.0436274i | ||||
\(539\) | 25.3351 | 1.09126 | ||||||||
\(540\) | −16.4829 | − | 16.3803i | −0.709310 | − | 0.704896i | ||||
\(541\) | −17.4455 | −0.750041 | −0.375020 | − | 0.927017i | \(-0.622364\pi\) | ||||
−0.375020 | + | 0.927017i | \(0.622364\pi\) | |||||||
\(542\) | 26.8341 | − | 1.68594i | 1.15262 | − | 0.0724173i | ||||
\(543\) | −20.7155 | − | 1.42688i | −0.888986 | − | 0.0612331i | ||||
\(544\) | 16.9032 | + | 8.62178i | 0.724720 | + | 0.369656i | ||||
\(545\) | 12.6110 | − | 14.9282i | 0.540196 | − | 0.639453i | ||||
\(546\) | −5.43080 | − | 0.0327221i | −0.232417 | − | 0.00140038i | ||||
\(547\) | −29.5574 | + | 7.91989i | −1.26378 | + | 0.338630i | −0.827646 | − | 0.561250i | \(-0.810321\pi\) |
−0.436138 | + | 0.899880i | \(0.643654\pi\) | |||||||
\(548\) | −10.8584 | − | 26.6208i | −0.463849 | − | 1.13719i | ||||
\(549\) | 19.3555 | − | 24.8806i | 0.826072 | − | 1.06188i | ||||
\(550\) | −31.9740 | − | 9.64488i | −1.36338 | − | 0.411259i | ||||
\(551\) | 0.251477 | + | 0.145190i | 0.0107133 | + | 0.00618531i | ||||
\(552\) | 6.06827 | − | 42.3460i | 0.258283 | − | 1.80237i | ||||
\(553\) | 0.607072 | − | 2.26562i | 0.0258153 | − | 0.0963442i | ||||
\(554\) | −32.5493 | + | 10.9509i | −1.38289 | + | 0.465261i | ||||
\(555\) | −2.37276 | + | 0.0360019i | −0.100718 | + | 0.00152820i | ||||
\(556\) | −0.397958 | − | 0.524478i | −0.0168772 | − | 0.0222428i | ||||
\(557\) | 8.37708 | − | 8.37708i | 0.354948 | − | 0.354948i | −0.506999 | − | 0.861947i | \(-0.669245\pi\) |
0.861947 | + | 0.506999i | \(0.169245\pi\) | |||||||
\(558\) | −12.2358 | − | 25.4076i | −0.517982 | − | 1.07559i | ||||
\(559\) | 7.36004 | 0.311296 | ||||||||
\(560\) | 11.2368 | + | 2.14559i | 0.474841 | + | 0.0906679i | ||||
\(561\) | 26.9309 | − | 5.26397i | 1.13702 | − | 0.222245i | ||||
\(562\) | −8.55008 | − | 4.24521i | −0.360663 | − | 0.179073i | ||||
\(563\) | 15.6000 | + | 4.18000i | 0.657460 | + | 0.176166i | 0.572099 | − | 0.820184i | \(-0.306129\pi\) |
0.0853604 | + | 0.996350i | \(0.472796\pi\) | |||||||
\(564\) | 15.8017 | − | 5.21058i | 0.665372 | − | 0.219405i | ||||
\(565\) | −26.2006 | + | 18.2164i | −1.10227 | + | 0.766369i | ||||
\(566\) | −7.09750 | + | 35.1840i | −0.298330 | + | 1.47890i | ||||
\(567\) | 11.5101 | + | 0.152918i | 0.483377 | + | 0.00642197i | ||||
\(568\) | −9.94310 | + | 1.89409i | −0.417203 | + | 0.0794742i | ||||
\(569\) | −0.0280230 | − | 0.0161791i | −0.00117478 | − | 0.000678262i | 0.499412 | − | 0.866364i | \(-0.333549\pi\) |
−0.500587 | + | 0.865686i | \(0.666883\pi\) | |||||||
\(570\) | −8.06161 | + | 9.42705i | −0.337664 | + | 0.394856i | ||||
\(571\) | 7.56742 | − | 4.36905i | 0.316687 | − | 0.182839i | −0.333228 | − | 0.942846i | \(-0.608138\pi\) |
0.649915 | + | 0.760007i | \(0.274805\pi\) | |||||||
\(572\) | 10.0384 | − | 12.9369i | 0.419728 | − | 0.540918i | ||||
\(573\) | 25.0584 | + | 16.8641i | 1.04683 | + | 0.704510i | ||||
\(574\) | 7.32219 | − | 8.30396i | 0.305622 | − | 0.346600i | ||||
\(575\) | 4.09431 | − | 43.4683i | 0.170745 | − | 1.81276i | ||||
\(576\) | −23.3182 | + | 5.67998i | −0.971591 | + | 0.236666i | ||||
\(577\) | −26.1054 | + | 26.1054i | −1.08678 | + | 1.08678i | −0.0909243 | + | 0.995858i | \(0.528982\pi\) |
−0.995858 | + | 0.0909243i | \(0.971018\pi\) | |||||||
\(578\) | 8.11335 | − | 0.509748i | 0.337471 | − | 0.0212027i | ||||
\(579\) | 0.0860724 | − | 0.250821i | 0.00357705 | − | 0.0104238i | ||||
\(580\) | 0.260330 | + | 0.510933i | 0.0108096 | + | 0.0212153i | ||||
\(581\) | −3.83292 | − | 6.63882i | −0.159016 | − | 0.275425i | ||||
\(582\) | 7.36052 | − | 1.92479i | 0.305104 | − | 0.0797851i | ||||
\(583\) | 6.88718 | + | 25.7033i | 0.285238 | + | 1.06452i | ||||
\(584\) | 11.0360 | − | 16.2299i | 0.456672 | − | 0.671599i | ||||
\(585\) | 10.3677 | − | 5.26644i | 0.428652 | − | 0.217741i | ||||
\(586\) | 19.7276 | + | 3.97955i | 0.814939 | + | 0.164393i | ||||
\(587\) | −38.9277 | + | 10.4307i | −1.60672 | + | 0.430519i | −0.947063 | − | 0.321048i | \(-0.895965\pi\) |
−0.659657 | + | 0.751567i | \(0.729298\pi\) | |||||||
\(588\) | 15.5398 | − | 10.1883i | 0.640851 | − | 0.420158i | ||||
\(589\) | −13.0362 | + | 7.52644i | −0.537146 | + | 0.310122i | ||||
\(590\) | 46.2678 | + | 5.34956i | 1.90481 | + | 0.220238i | ||||
\(591\) | 23.3451 | − | 20.3364i | 0.960291 | − | 0.836526i | ||||
\(592\) | −1.24832 | + | 2.10913i | −0.0513055 | + | 0.0866847i | ||||
\(593\) | −6.71753 | − | 6.71753i | −0.275856 | − | 0.275856i | 0.555596 | − | 0.831452i | \(-0.312490\pi\) |
−0.831452 | + | 0.555596i | \(0.812490\pi\) | |||||||
\(594\) | −21.4755 | + | 27.2653i | −0.881152 | + | 1.11871i | ||||
\(595\) | −9.02559 | + | 3.25112i | −0.370013 | + | 0.133283i | ||||
\(596\) | −7.68230 | + | 5.82910i | −0.314679 | + | 0.238769i | ||||
\(597\) | 7.79542 | + | 0.536946i | 0.319045 | + | 0.0219757i | ||||
\(598\) | 19.1738 | + | 9.52001i | 0.784075 | + | 0.389302i | ||||
\(599\) | −5.98664 | − | 10.3692i | −0.244607 | − | 0.423672i | 0.717414 | − | 0.696647i | \(-0.245326\pi\) |
−0.962021 | + | 0.272975i | \(0.911992\pi\) | |||||||
\(600\) | −23.4905 | + | 6.94220i | −0.958998 | + | 0.283414i | ||||
\(601\) | 7.91488 | − | 13.7090i | 0.322855 | − | 0.559200i | −0.658221 | − | 0.752825i | \(-0.728691\pi\) |
0.981076 | + | 0.193624i | \(0.0620242\pi\) | |||||||
\(602\) | 6.39698 | − | 4.24935i | 0.260722 | − | 0.173191i | ||||
\(603\) | 0.264890 | − | 0.627676i | 0.0107872 | − | 0.0255609i | ||||
\(604\) | 4.77217 | + | 2.00700i | 0.194177 | + | 0.0816637i | ||||
\(605\) | −4.47322 | + | 24.8850i | −0.181862 | + | 1.01172i | ||||
\(606\) | −35.7855 | − | 20.9493i | −1.45369 | − | 0.851005i | ||||
\(607\) | −2.99715 | + | 11.1855i | −0.121651 | + | 0.454006i | −0.999698 | − | 0.0245673i | \(-0.992179\pi\) |
0.878048 | + | 0.478573i | \(0.158846\pi\) | |||||||
\(608\) | 3.95351 | + | 12.1855i | 0.160336 | + | 0.494186i | ||||
\(609\) | −0.268675 | − | 0.0921990i | −0.0108872 | − | 0.00373609i | ||||
\(610\) | −13.1988 | − | 30.4939i | −0.534405 | − | 1.23466i | ||||
\(611\) | 8.32624i | 0.336844i | ||||||||
\(612\) | 14.4018 | − | 14.0588i | 0.582157 | − | 0.568293i | ||||
\(613\) | 2.76100 | + | 2.76100i | 0.111516 | + | 0.111516i | 0.760663 | − | 0.649147i | \(-0.224874\pi\) |
−0.649147 | + | 0.760663i | \(0.724874\pi\) | |||||||
\(614\) | 14.9447 | − | 16.9485i | 0.603118 | − | 0.683984i | ||||
\(615\) | −5.78735 | + | 22.9882i | −0.233368 | + | 0.926974i | ||||
\(616\) | 1.25575 | − | 17.0398i | 0.0505955 | − | 0.686555i | ||||
\(617\) | −21.8532 | − | 5.85555i | −0.879777 | − | 0.235735i | −0.209466 | − | 0.977816i | \(-0.567173\pi\) |
−0.670311 | + | 0.742080i | \(0.733839\pi\) | |||||||
\(618\) | 1.38540 | − | 5.04852i | 0.0557291 | − | 0.203081i | ||||
\(619\) | 10.7379 | − | 18.5985i | 0.431591 | − | 0.747538i | −0.565419 | − | 0.824804i | \(-0.691286\pi\) |
0.997011 | + | 0.0772656i | \(0.0246189\pi\) | |||||||
\(620\) | −29.6851 | − | 1.55588i | −1.19218 | − | 0.0624855i | ||||
\(621\) | −40.4924 | − | 20.4727i | −1.62490 | − | 0.821540i | ||||
\(622\) | −0.247992 | − | 0.373328i | −0.00994359 | − | 0.0149691i | ||||
\(623\) | −3.80039 | − | 14.1832i | −0.152259 | − | 0.568240i | ||||
\(624\) | 0.954832 | − | 11.9720i | 0.0382239 | − | 0.479263i | ||||
\(625\) | −23.6039 | + | 8.23744i | −0.944156 | + | 0.329498i | ||||
\(626\) | 7.26103 | + | 21.5818i | 0.290209 | + | 0.862584i | ||||
\(627\) | 15.3696 | + | 10.3437i | 0.613804 | + | 0.413086i | ||||
\(628\) | 1.63066 | + | 0.223658i | 0.0650704 | + | 0.00892494i | ||||
\(629\) | − | 2.05526i | − | 0.0819487i | ||||||
\(630\) | 5.97051 | − | 10.5632i | 0.237871 | − | 0.420847i | ||||
\(631\) | − | 20.7208i | − | 0.824880i | −0.910985 | − | 0.412440i | \(-0.864677\pi\) | ||
0.910985 | − | 0.412440i | \(-0.135323\pi\) | |||||||
\(632\) | 4.89803 | + | 1.70709i | 0.194833 | + | 0.0679045i | ||||
\(633\) | −30.7027 | + | 15.0143i | −1.22032 | + | 0.596766i | ||||
\(634\) | −9.73698 | + | 3.27592i | −0.386705 | + | 0.130103i | ||||
\(635\) | 2.68510 | + | 31.9121i | 0.106555 | + | 1.26639i | ||||
\(636\) | 14.5608 | + | 12.9960i | 0.577372 | + | 0.515326i | ||||
\(637\) | 2.40668 | + | 8.98185i | 0.0953561 | + | 0.355874i | ||||
\(638\) | 0.713401 | − | 0.473894i | 0.0282438 | − | 0.0187616i | ||||
\(639\) | −1.47199 | + | 10.6345i | −0.0582309 | + | 0.420694i | ||||
\(640\) | −6.55829 | + | 24.4334i | −0.259239 | + | 0.965813i | ||||
\(641\) | 6.95865 | − | 12.0527i | 0.274850 | − | 0.476054i | −0.695247 | − | 0.718771i | \(-0.744705\pi\) |
0.970097 | + | 0.242716i | \(0.0780384\pi\) | |||||||
\(642\) | −19.0250 | + | 18.7971i | −0.750855 | + | 0.741861i | ||||
\(643\) | 6.30523 | + | 1.68948i | 0.248654 | + | 0.0666266i | 0.380993 | − | 0.924578i | \(-0.375582\pi\) |
−0.132339 | + | 0.991204i | \(0.542249\pi\) | |||||||
\(644\) | 22.1613 | − | 2.79576i | 0.873279 | − | 0.110168i | ||||
\(645\) | −8.00493 | + | 14.3639i | −0.315194 | + | 0.565578i | ||||
\(646\) | −8.05781 | − | 7.10515i | −0.317030 | − | 0.279548i | ||||
\(647\) | 9.44733 | + | 9.44733i | 0.371413 | + | 0.371413i | 0.867992 | − | 0.496579i | \(-0.165411\pi\) |
−0.496579 | + | 0.867992i | \(0.665411\pi\) | |||||||
\(648\) | −2.20798 | + | 25.3599i | −0.0867376 | + | 0.996231i | ||||
\(649\) | − | 69.5641i | − | 2.73063i | ||||||
\(650\) | 0.381982 | − | 12.2517i | 0.0149826 | − | 0.480551i | ||||
\(651\) | 11.1030 | − | 9.67200i | 0.435160 | − | 0.379076i | ||||
\(652\) | 9.31362 | − | 12.0028i | 0.364750 | − | 0.470065i | ||||
\(653\) | −0.729625 | + | 2.72300i | −0.0285524 | + | 0.106559i | −0.978732 | − | 0.205145i | \(-0.934233\pi\) |
0.950179 | + | 0.311705i | \(0.100900\pi\) | |||||||
\(654\) | −21.4067 | − | 0.128982i | −0.837070 | − | 0.00504359i | ||||
\(655\) | 39.8980 | + | 7.17189i | 1.55894 | + | 0.280229i | ||||
\(656\) | 17.1238 | + | 17.4983i | 0.668572 | + | 0.683194i | ||||
\(657\) | −12.5627 | − | 16.5992i | −0.490117 | − | 0.647595i | ||||
\(658\) | 4.80720 | + | 7.23676i | 0.187404 | + | 0.282118i | ||||
\(659\) | 15.2014 | − | 26.3297i | 0.592164 | − | 1.02566i | −0.401776 | − | 0.915738i | \(-0.631607\pi\) |
0.993940 | − | 0.109921i | \(-0.0350597\pi\) | |||||||
\(660\) | 14.3297 | + | 33.6615i | 0.557782 | + | 1.31027i | ||||
\(661\) | 7.66362 | + | 13.2738i | 0.298080 | + | 0.516290i | 0.975697 | − | 0.219125i | \(-0.0703204\pi\) |
−0.677617 | + | 0.735415i | \(0.736987\pi\) | |||||||
\(662\) | −11.6936 | + | 23.5516i | −0.454486 | + | 0.915359i | ||||
\(663\) | 4.42446 | + | 9.04754i | 0.171832 | + | 0.351377i | ||||
\(664\) | 15.2645 | − | 7.37428i | 0.592377 | − | 0.286177i | ||||
\(665\) | −5.86083 | − | 2.75670i | −0.227273 | − | 0.106900i | ||||
\(666\) | 1.69565 | + | 1.97037i | 0.0657050 | + | 0.0763501i | ||||
\(667\) | 0.791722 | + | 0.791722i | 0.0306556 | + | 0.0306556i | ||||
\(668\) | 0.955559 | − | 6.96683i | 0.0369717 | − | 0.269555i | ||||
\(669\) | 7.23573 | + | 37.0186i | 0.279750 | + | 1.43122i | ||||
\(670\) | −0.446113 | − | 0.562760i | −0.0172348 | − | 0.0217413i | ||||
\(671\) | −42.9789 | + | 24.8139i | −1.65918 | + | 0.957930i | ||||
\(672\) | −6.08218 | − | 10.9567i | −0.234625 | − | 0.422665i | ||||
\(673\) | 37.0436 | − | 9.92579i | 1.42792 | − | 0.382611i | 0.539636 | − | 0.841898i | \(-0.318562\pi\) |
0.888288 | + | 0.459287i | \(0.151895\pi\) | |||||||
\(674\) | 3.68805 | − | 18.2826i | 0.142058 | − | 0.704218i | ||||
\(675\) | −0.998127 | + | 25.9616i | −0.0384179 | + | 0.999262i | ||||
\(676\) | −18.4267 | − | 7.74961i | −0.708720 | − | 0.298062i | ||||
\(677\) | 8.82917 | + | 32.9509i | 0.339332 | + | 1.26641i | 0.899095 | + | 0.437753i | \(0.144226\pi\) |
−0.559763 | + | 0.828653i | \(0.689108\pi\) | |||||||
\(678\) | 33.7104 | + | 9.25073i | 1.29464 | + | 0.355272i | ||||
\(679\) | 1.98628 | + | 3.44034i | 0.0762264 | + | 0.132028i | ||||
\(680\) | −5.70322 | − | 20.4338i | −0.218708 | − | 0.783601i | ||||
\(681\) | 9.45292 | − | 1.84769i | 0.362236 | − | 0.0708035i | ||||
\(682\) | 2.78392 | + | 44.3100i | 0.106602 | + | 1.69672i | ||||
\(683\) | 12.3479 | − | 12.3479i | 0.472478 | − | 0.472478i | −0.430238 | − | 0.902716i | \(-0.641570\pi\) |
0.902716 | + | 0.430238i | \(0.141570\pi\) | |||||||
\(684\) | 13.5869 | + | 0.163736i | 0.519508 | + | 0.00626060i | ||||
\(685\) | −13.6813 | + | 29.0868i | −0.522734 | + | 1.11135i | ||||
\(686\) | 16.7743 | + | 14.7911i | 0.640447 | + | 0.564728i | ||||
\(687\) | 18.5752 | − | 9.08370i | 0.708688 | − | 0.346565i | ||||
\(688\) | 8.33199 | + | 14.7988i | 0.317654 | + | 0.564199i | ||||
\(689\) | −8.45814 | + | 4.88331i | −0.322229 | + | 0.186039i | ||||
\(690\) | −39.4331 | + | 27.0655i | −1.50119 | + | 1.03037i | ||||
\(691\) | 16.3738 | + | 9.45345i | 0.622891 | + | 0.359626i | 0.777994 | − | 0.628272i | \(-0.216238\pi\) |
−0.155103 | + | 0.987898i | \(0.549571\pi\) | |||||||
\(692\) | −17.6072 | + | 7.18184i | −0.669326 | + | 0.273013i | ||||
\(693\) | −16.6966 | − | 7.04624i | −0.634250 | − | 0.267664i | ||||
\(694\) | 29.4029 | + | 5.93130i | 1.11612 | + | 0.225149i | ||||
\(695\) | −0.130227 | + | 0.724466i | −0.00493980 | + | 0.0274806i | ||||
\(696\) | 0.247007 | − | 0.577561i | 0.00936277 | − | 0.0218924i | ||||
\(697\) | −19.8315 | − | 5.31384i | −0.751173 | − | 0.201276i | ||||
\(698\) | −9.31546 | + | 18.7618i | −0.352595 | + | 0.710145i | ||||
\(699\) | −18.7845 | − | 21.5636i | −0.710494 | − | 0.815611i | ||||
\(700\) | −6.74157 | − | 10.8691i | −0.254808 | − | 0.410814i | ||||
\(701\) | 39.3036 | 1.48448 | 0.742239 | − | 0.670135i | \(-0.233764\pi\) | ||||
0.742239 | + | 0.670135i | \(0.233764\pi\) | |||||||
\(702\) | −11.7062 | − | 5.02351i | −0.441821 | − | 0.189600i | ||||
\(703\) | 0.981170 | − | 0.981170i | 0.0370055 | − | 0.0370055i | ||||
\(704\) | 37.3763 | + | 5.53896i | 1.40867 | + | 0.208757i | ||||
\(705\) | −16.2495 | − | 9.05579i | −0.611993 | − | 0.341061i | ||||
\(706\) | −4.41602 | − | 13.1257i | −0.166199 | − | 0.493991i | ||||
\(707\) | 5.60392 | − | 20.9141i | 0.210757 | − | 0.786556i | ||||
\(708\) | −27.9746 | − | 42.6686i | −1.05135 | − | 1.60358i | ||||
\(709\) | −14.3481 | − | 8.28386i | −0.538853 | − | 0.311107i | 0.205761 | − | 0.978602i | \(-0.434033\pi\) |
−0.744614 | + | 0.667495i | \(0.767366\pi\) | |||||||
\(710\) | 9.08573 | + | 6.74651i | 0.340981 | + | 0.253192i | ||||
\(711\) | 3.37810 | − | 4.34240i | 0.126689 | − | 0.162853i | ||||
\(712\) | 31.8980 | − | 6.07633i | 1.19543 | − | 0.227720i | ||||
\(713\) | −56.0640 | + | 15.0223i | −2.09961 | + | 0.562589i | ||||
\(714\) | 9.06916 | + | 5.30920i | 0.339405 | + | 0.198692i | ||||
\(715\) | −18.2431 | + | 1.53498i | −0.682253 | + | 0.0574052i | ||||
\(716\) | −20.0892 | + | 2.53434i | −0.750767 | + | 0.0947127i | ||||
\(717\) | −0.664977 | − | 1.35981i | −0.0248340 | − | 0.0507829i | ||||
\(718\) | 1.16505 | + | 18.5434i | 0.0434793 | + | 0.692034i | ||||
\(719\) | −44.7659 | −1.66949 | −0.834744 | − | 0.550638i | \(-0.814384\pi\) | ||||
−0.834744 | + | 0.550638i | \(0.814384\pi\) | |||||||
\(720\) | 22.3261 | + | 14.8844i | 0.832044 | + | 0.554710i | ||||
\(721\) | 2.73356 | 0.101803 | ||||||||
\(722\) | 1.23008 | + | 19.5785i | 0.0457789 | + | 0.728635i | ||||
\(723\) | 4.85553 | − | 7.21482i | 0.180579 | − | 0.268322i | ||||
\(724\) | 23.7883 | − | 3.00100i | 0.884085 | − | 0.111531i | ||||
\(725\) | 0.223274 | − | 0.600981i | 0.00829220 | − | 0.0223199i | ||||
\(726\) | 24.0693 | − | 13.7037i | 0.893297 | − | 0.508594i | ||||
\(727\) | −33.6948 | + | 9.02850i | −1.24967 | + | 0.334848i | −0.822210 | − | 0.569185i | \(-0.807259\pi\) |
−0.427462 | + | 0.904033i | \(0.640592\pi\) | |||||||
\(728\) | 6.16028 | − | 1.17349i | 0.228315 | − | 0.0434924i | ||||
\(729\) | 24.7339 | + | 10.8274i | 0.916071 | + | 0.401017i | ||||
\(730\) | −21.7075 | + | 3.20729i | −0.803432 | + | 0.118707i | ||||
\(731\) | −12.3338 | − | 7.12093i | −0.456182 | − | 0.263377i | ||||
\(732\) | −16.3833 | + | 32.5037i | −0.605545 | + | 1.20137i | ||||
\(733\) | −5.08794 | + | 18.9884i | −0.187927 | + | 0.701354i | 0.806058 | + | 0.591837i | \(0.201597\pi\) |
−0.993985 | + | 0.109517i | \(0.965070\pi\) | |||||||
\(734\) | −4.34084 | − | 12.9022i | −0.160223 | − | 0.476229i | ||||
\(735\) | −20.1466 | − | 5.07196i | −0.743118 | − | 0.187082i | ||||
\(736\) | 2.56400 | + | 49.3299i | 0.0945102 | + | 1.81832i | ||||
\(737\) | −0.758426 | + | 0.758426i | −0.0279370 | + | 0.0279370i | ||||
\(738\) | 23.3964 | − | 11.2672i | 0.861233 | − | 0.414752i | ||||
\(739\) | −41.3731 | −1.52193 | −0.760967 | − | 0.648791i | \(-0.775275\pi\) | ||||
−0.760967 | + | 0.648791i | \(0.775275\pi\) | |||||||
\(740\) | 2.68027 | − | 0.569695i | 0.0985287 | − | 0.0209424i | ||||
\(741\) | −2.20703 | + | 6.43145i | −0.0810774 | + | 0.236265i | ||||
\(742\) | −4.53200 | + | 9.12768i | −0.166375 | + | 0.335088i | ||||
\(743\) | −13.1325 | − | 3.51884i | −0.481785 | − | 0.129094i | 0.00974885 | − | 0.999952i | \(-0.496897\pi\) |
−0.491533 | + | 0.870859i | \(0.663563\pi\) | |||||||
\(744\) | 19.5265 | + | 26.0589i | 0.715875 | + | 0.955367i | ||||
\(745\) | 10.6116 | + | 1.90750i | 0.388780 | + | 0.0698855i | ||||
\(746\) | −34.1222 | − | 6.88330i | −1.24930 | − | 0.252015i | ||||
\(747\) | −2.22849 | − | 17.8421i | −0.0815363 | − | 0.652809i | ||||
\(748\) | −29.3388 | + | 11.9671i | −1.07273 | + | 0.437559i | ||||
\(749\) | −12.0939 | − | 6.98241i | −0.441901 | − | 0.255132i | ||||
\(750\) | 23.4950 | + | 14.0707i | 0.857917 | + | 0.513788i | ||||
\(751\) | −17.6507 | + | 10.1906i | −0.644084 | + | 0.371862i | −0.786186 | − | 0.617990i | \(-0.787947\pi\) |
0.142102 | + | 0.989852i | \(0.454614\pi\) | |||||||
\(752\) | −16.7416 | + | 9.42580i | −0.610502 | + | 0.343723i | ||||
\(753\) | 1.63805 | − | 23.7813i | 0.0596939 | − | 0.866641i | ||||
\(754\) | 0.235774 | + | 0.207899i | 0.00858639 | + | 0.00757124i | ||||
\(755\) | −1.96156 | − | 5.44558i | −0.0713883 | − | 0.198185i | ||||
\(756\) | −13.0748 | + | 2.39242i | −0.475525 | + | 0.0870115i | ||||
\(757\) | 22.2858 | − | 22.2858i | 0.809993 | − | 0.809993i | −0.174640 | − | 0.984632i | \(-0.555876\pi\) |
0.984632 | + | 0.174640i | \(0.0558761\pi\) | |||||||
\(758\) | −2.26784 | − | 36.0959i | −0.0823718 | − | 1.31106i | ||||
\(759\) | 46.9211 | + | 53.8630i | 1.70313 | + | 1.95510i | ||||
\(760\) | 7.03230 | − | 12.4777i | 0.255088 | − | 0.452612i | ||||
\(761\) | −3.21363 | − | 5.56616i | −0.116494 | − | 0.201773i | 0.801882 | − | 0.597482i | \(-0.203832\pi\) |
−0.918376 | + | 0.395709i | \(0.870499\pi\) | |||||||
\(762\) | 24.9554 | − | 24.6565i | 0.904038 | − | 0.893209i | ||||
\(763\) | −2.89303 | − | 10.7969i | −0.104735 | − | 0.390875i | ||||
\(764\) | −32.1498 | − | 13.5211i | −1.16314 | − | 0.489175i | ||||
\(765\) | −22.4694 | − | 1.20550i | −0.812382 | − | 0.0435848i | ||||
\(766\) | −1.99838 | + | 9.90647i | −0.0722045 | + | 0.357935i | ||||
\(767\) | 24.6620 | − | 6.60816i | 0.890493 | − | 0.238607i | ||||
\(768\) | 25.1530 | − | 11.6331i | 0.907629 | − | 0.419773i | ||||
\(769\) | −12.7397 | + | 7.35525i | −0.459404 | + | 0.265237i | −0.711794 | − | 0.702389i | \(-0.752117\pi\) |
0.252389 | + | 0.967626i | \(0.418784\pi\) | |||||||
\(770\) | −14.9698 | + | 11.8669i | −0.539473 | + | 0.427652i | ||||
\(771\) | −12.8100 | − | 4.39590i | −0.461340 | − | 0.158315i | ||||
\(772\) | −0.0416086 | + | 0.303362i | −0.00149753 | + | 0.0109182i | ||||
\(773\) | 2.10524 | + | 2.10524i | 0.0757202 | + | 0.0757202i | 0.743953 | − | 0.668232i | \(-0.232949\pi\) |
−0.668232 | + | 0.743953i | \(0.732949\pi\) | |||||||
\(774\) | 17.6993 | − | 3.34895i | 0.636188 | − | 0.120376i | ||||
\(775\) | 21.1930 | + | 25.6005i | 0.761276 | + | 0.919598i | ||||
\(776\) | −7.91028 | + | 3.82146i | −0.283963 | + | 0.137183i | ||||
\(777\) | −0.757849 | + | 1.12609i | −0.0271877 | + | 0.0403982i | ||||
\(778\) | −11.7753 | + | 23.7160i | −0.422163 | + | 0.850259i | ||||
\(779\) | −6.93066 | − | 12.0043i | −0.248317 | − | 0.430097i | ||||
\(780\) | −10.5725 | + | 8.27781i | −0.378556 | + | 0.296393i | ||||
\(781\) | 8.45104 | − | 14.6376i | 0.302402 | − | 0.523775i | ||||
\(782\) | −22.9203 | − | 34.5043i | −0.819630 | − | 1.23387i | ||||
\(783\) | −0.496525 | − | 0.444270i | −0.0177443 | − | 0.0158769i | ||||
\(784\) | −15.3353 | + | 15.0071i | −0.547689 | + | 0.535967i | ||||
\(785\) | −1.05048 | − | 1.51091i | −0.0374933 | − | 0.0539265i | ||||
\(786\) | −21.9711 | − | 38.5903i | −0.783685 | − | 1.37647i | ||||
\(787\) | 7.43235 | − | 27.7379i | 0.264935 | − | 0.988750i | −0.697356 | − | 0.716725i | \(-0.745640\pi\) |
0.962290 | − | 0.272024i | \(-0.0876931\pi\) | |||||||
\(788\) | −21.9165 | + | 28.2445i | −0.780742 | + | 1.00617i | ||||
\(789\) | −8.80982 | − | 45.0718i | −0.313638 | − | 1.60460i | ||||
\(790\) | −2.30358 | − | 5.32209i | −0.0819579 | − | 0.189351i | ||||
\(791\) | 18.2527i | 0.648993i | ||||||||
\(792\) | 18.2537 | − | 35.6781i | 0.648619 | − | 1.26776i | ||||
\(793\) | −12.8798 | − | 12.8798i | −0.457375 | − | 0.457375i | ||||
\(794\) | 22.0141 | + | 19.4114i | 0.781251 | + | 0.688885i | ||||
\(795\) | −0.331046 | − | 21.8181i | −0.0117410 | − | 0.773810i | ||||
\(796\) | −8.95175 | + | 1.12931i | −0.317287 | + | 0.0400272i | ||||
\(797\) | −44.7906 | − | 12.0016i | −1.58657 | − | 0.425119i | −0.645615 | − | 0.763663i | \(-0.723399\pi\) |
−0.940951 | + | 0.338544i | \(0.890066\pi\) | |||||||
\(798\) | 1.79499 | + | 6.86414i | 0.0635418 | + | 0.242988i | ||||
\(799\) | 8.05575 | − | 13.9530i | 0.284992 | − | 0.493620i | ||||
\(800\) | 25.0669 | − | 13.1016i | 0.886248 | − | 0.463211i | ||||
\(801\) | 4.72221 | − | 34.1160i | 0.166851 | − | 1.20543i | ||||
\(802\) | 2.16442 | − | 1.43777i | 0.0764282 | − | 0.0507693i | ||||
\(803\) | 8.48241 | + | 31.6568i | 0.299338 | + | 1.11714i | ||||
\(804\) | −0.160202 | + | 0.770191i | −0.00564989 | + | 0.0271625i | ||||
\(805\) | −19.0774 | − | 16.1162i | −0.672389 | − | 0.568020i | ||||
\(806\) | −15.4444 | + | 5.19614i | −0.544006 | + | 0.183026i | ||||
\(807\) | −1.35819 | + | 19.7182i | −0.0478104 | + | 0.694115i | ||||
\(808\) | 45.2140 | + | 15.7583i | 1.59062 | + | 0.554374i | ||||
\(809\) | 2.70413i | 0.0950720i | 0.998870 | + | 0.0475360i | \(0.0151369\pi\) | ||||
−0.998870 | + | 0.0475360i | \(0.984863\pi\) | |||||||
\(810\) | 22.5358 | − | 17.3821i | 0.791826 | − | 0.610746i | ||||
\(811\) | 31.0091i | 1.08888i | 0.838801 | + | 0.544438i | \(0.183257\pi\) | ||||
−0.838801 | + | 0.544438i | \(0.816743\pi\) | |||||||
\(812\) | 0.324955 | + | 0.0445702i | 0.0114037 | + | 0.00156411i | ||||
\(813\) | −2.26283 | + | 32.8519i | −0.0793608 | + | 1.15217i | ||||
\(814\) | −1.30503 | − | 3.87893i | −0.0457414 | − | 0.135956i | ||||
\(815\) | −16.9259 | + | 1.42415i | −0.592887 | + | 0.0498859i | ||||
\(816\) | −13.1831 | + | 19.1386i | −0.461502 | + | 0.669985i | ||||
\(817\) | −2.48860 | − | 9.28757i | −0.0870650 | − | 0.324931i | ||||
\(818\) | 25.8639 | + | 38.9356i | 0.904311 | + | 1.36135i | ||||
\(819\) | 0.911974 | − | 6.58864i | 0.0318670 | − | 0.230226i | ||||
\(820\) | 1.43272 | − | 27.3353i | 0.0500326 | − | 0.954588i | ||||
\(821\) | −2.02978 | + | 3.51568i | −0.0708399 | + | 0.122698i | −0.899270 | − | 0.437395i | \(-0.855901\pi\) |
0.828430 | + | 0.560093i | \(0.189235\pi\) | |||||||
\(822\) | 34.0661 | − | 8.90835i | 1.18819 | − | 0.310715i | ||||
\(823\) | 24.5428 | + | 6.57622i | 0.855508 | + | 0.229233i | 0.659811 | − | 0.751432i | \(-0.270636\pi\) |
0.195697 | + | 0.980664i | \(0.437303\pi\) | |||||||
\(824\) | −0.444284 | + | 6.02870i | −0.0154774 | + | 0.210020i | ||||
\(825\) | 16.8459 | − | 37.2728i | 0.586498 | − | 1.29767i | ||||
\(826\) | 17.6197 | − | 19.9822i | 0.613069 | − | 0.695270i | ||||
\(827\) | −10.6638 | − | 10.6638i | −0.370816 | − | 0.370816i | 0.496958 | − | 0.867774i | \(-0.334450\pi\) |
−0.867774 | + | 0.496958i | \(0.834450\pi\) | |||||||
\(828\) | 50.4406 | + | 14.1691i | 1.75293 | + | 0.492411i | ||||
\(829\) | − | 9.59976i | − | 0.333413i | −0.986007 | − | 0.166707i | \(-0.946687\pi\) | ||
0.986007 | − | 0.166707i | \(-0.0533133\pi\) | |||||||
\(830\) | −17.6230 | − | 6.97577i | −0.611702 | − | 0.242133i | ||||
\(831\) | −8.06851 | − | 41.2792i | −0.279894 | − | 1.43196i | ||||
\(832\) | 1.58683 | + | 13.7769i | 0.0550135 | + | 0.477627i | ||||
\(833\) | 4.65698 | − | 17.3801i | 0.161355 | − | 0.602185i | ||||
\(834\) | 0.700721 | − | 0.398952i | 0.0242640 | − | 0.0138146i | ||||
\(835\) | −6.45519 | + | 4.48808i | −0.223391 | + | 0.155316i | ||||
\(836\) | −19.7192 | − | 8.29317i | −0.682002 | − | 0.286825i | ||||
\(837\) | 32.8143 | − | 10.7756i | 1.13423 | − | 0.372458i | ||||
\(838\) | −13.4395 | + | 8.92749i | −0.464258 | + | 0.308395i | ||||
\(839\) | 7.04527 | − | 12.2028i | 0.243230 | − | 0.421286i | −0.718403 | − | 0.695627i | \(-0.755126\pi\) |
0.961632 | + | 0.274341i | \(0.0884598\pi\) | |||||||
\(840\) | −4.40986 | + | 13.2988i | −0.152155 | + | 0.458851i | ||||
\(841\) | −14.4918 | − | 25.1005i | −0.499717 | − | 0.865534i | ||||
\(842\) | 21.8849 | + | 10.8661i | 0.754202 | + | 0.374470i | ||||
\(843\) | 6.52764 | − | 9.69941i | 0.224824 | − | 0.334065i | ||||
\(844\) | 31.4388 | − | 23.8548i | 1.08217 | − | 0.821116i | ||||
\(845\) | 7.57414 | + | 21.0270i | 0.260558 | + | 0.723349i | ||||
\(846\) | 3.78859 | + | 20.0228i | 0.130254 | + | 0.688398i | ||||
\(847\) | 10.2262 | + | 10.2262i | 0.351378 | + | 0.351378i | ||||
\(848\) | −19.3940 | − | 11.4786i | −0.665992 | − | 0.394176i | ||||
\(849\) | −41.5794 | − | 14.2685i | −1.42700 | − | 0.489693i | ||||
\(850\) | −12.4938 | + | 20.1616i | −0.428533 | + | 0.691537i | ||||
\(851\) | 4.63351 | − | 2.67516i | 0.158835 | − | 0.0917033i | ||||
\(852\) | −0.702774 | − | 12.3768i | −0.0240766 | − | 0.424022i | ||||
\(853\) | −19.1912 | + | 5.14228i | −0.657095 | + | 0.176068i | −0.571935 | − | 0.820299i | \(-0.693807\pi\) |
−0.0851606 | + | 0.996367i | \(0.527140\pi\) | |||||||
\(854\) | −18.6307 | − | 3.75828i | −0.637529 | − | 0.128606i | ||||
\(855\) | −10.1512 | − | 11.3022i | −0.347165 | − | 0.386528i | ||||
\(856\) | 17.3649 | − | 25.5375i | 0.593520 | − | 0.872854i | ||||
\(857\) | −7.66851 | − | 28.6193i | −0.261951 | − | 0.977615i | −0.964090 | − | 0.265575i | \(-0.914438\pi\) |
0.702139 | − | 0.712040i | \(-0.252229\pi\) | |||||||
\(858\) | 14.0953 | + | 14.2662i | 0.481205 | + | 0.487039i | ||||
\(859\) | 18.2242 | + | 31.5653i | 0.621803 | + | 1.07699i | 0.989150 | + | 0.146910i | \(0.0469328\pi\) |
−0.367347 | + | 0.930084i | \(0.619734\pi\) | |||||||
\(860\) | 5.86762 | − | 18.0584i | 0.200084 | − | 0.615785i | ||||
\(861\) | 8.90638 | + | 10.2241i | 0.303528 | + | 0.348436i | ||||
\(862\) | 27.9826 | − | 1.75810i | 0.953090 | − | 0.0598811i | ||||
\(863\) | −0.560502 | + | 0.560502i | −0.0190797 | + | 0.0190797i | −0.716582 | − | 0.697503i | \(-0.754295\pi\) |
0.697503 | + | 0.716582i | \(0.254295\pi\) | |||||||
\(864\) | −3.15131 | − | 29.2245i | −0.107210 | − | 0.994236i | ||||
\(865\) | 19.2382 | + | 9.04889i | 0.654119 | + | 0.307672i | ||||
\(866\) | −9.31566 | + | 10.5647i | −0.316559 | + | 0.359003i | ||||
\(867\) | −0.684171 | + | 9.93284i | −0.0232357 | + | 0.337337i | ||||
\(868\) | −10.4235 | + | 13.4331i | −0.353797 | + | 0.455950i | ||||
\(869\) | −7.50109 | + | 4.33076i | −0.254457 | + | 0.146911i | ||||
\(870\) | −0.662170 | + | 0.234023i | −0.0224497 | + | 0.00793413i | ||||
\(871\) | −0.340924 | − | 0.196833i | −0.0115518 | − | 0.00666942i | ||||
\(872\) | 24.2822 | − | 4.62558i | 0.822299 | − | 0.156642i | ||||
\(873\) | 1.15484 | + | 9.24606i | 0.0390854 | + | 0.312932i | ||||
\(874\) | 5.53012 | − | 27.4142i | 0.187059 | − | 0.927299i | ||||
\(875\) | −3.83858 | + | 13.7749i | −0.129768 | + | 0.465677i | ||||
\(876\) | 17.9334 | + | 16.0062i | 0.605912 | + | 0.540800i | ||||
\(877\) | 48.3581 | + | 12.9575i | 1.63294 | + | 0.437544i | 0.954765 | − | 0.297360i | \(-0.0961062\pi\) |
0.678171 | + | 0.734904i | \(0.262773\pi\) | |||||||
\(878\) | −25.3094 | − | 12.5664i | −0.854150 | − | 0.424095i | ||||
\(879\) | −8.00030 | + | 23.3135i | −0.269843 | + | 0.786343i | ||||
\(880\) | −23.7386 | − | 34.9436i | −0.800229 | − | 1.17795i | ||||
\(881\) | 13.3677 | 0.450371 | 0.225185 | − | 0.974316i | \(-0.427701\pi\) | ||||
0.225185 | + | 0.974316i | \(0.427701\pi\) | |||||||
\(882\) | 9.87444 | + | 20.5043i | 0.332490 | + | 0.690416i | ||||
\(883\) | −8.07564 | + | 8.07564i | −0.271767 | + | 0.271767i | −0.829811 | − | 0.558044i | \(-0.811552\pi\) |
0.558044 | + | 0.829811i | \(0.311552\pi\) | |||||||
\(884\) | −7.02959 | − | 9.26445i | −0.236431 | − | 0.311597i | ||||
\(885\) | −13.9264 | + | 55.3177i | −0.468130 | + | 1.85948i | ||||
\(886\) | 5.31544 | − | 1.78833i | 0.178576 | − | 0.0600802i | ||||
\(887\) | 9.26809 | − | 34.5890i | 0.311192 | − | 1.16138i | −0.616291 | − | 0.787519i | \(-0.711365\pi\) |
0.927483 | − | 0.373866i | \(-0.121968\pi\) | |||||||
\(888\) | −2.36035 | − | 1.85441i | −0.0792080 | − | 0.0622301i | ||||
\(889\) | 15.8638 | + | 9.15896i | 0.532054 | + | 0.307182i | ||||
\(890\) | −29.1475 | − | 21.6432i | −0.977026 | − | 0.725481i | ||||
\(891\) | −29.6554 | − | 30.4540i | −0.993493 | − | 1.02025i | ||||
\(892\) | −16.4497 | − | 40.3285i | −0.550775 | − | 1.35030i | ||||
\(893\) | 10.5068 | − | 2.81529i | 0.351597 | − | 0.0942102i | ||||
\(894\) | −5.84365 | − | 10.2638i | −0.195441 | − | 0.343273i | ||||
\(895\) | 17.2936 | + | 14.6092i | 0.578060 | + | 0.488333i | ||||
\(896\) | 9.33333 | + | 11.0580i | 0.311805 | + | 0.369422i | ||||
\(897\) | −14.6384 | + | 21.7512i | −0.488762 | + | 0.726251i | ||||
\(898\) | 43.5109 | − | 2.73372i | 1.45198 | − | 0.0912254i | ||||
\(899\) | −0.852287 | −0.0284254 | ||||||||
\(900\) | −4.65616 | − | 29.6365i | −0.155205 | − | 0.987882i | ||||
\(901\) | 18.8987 | 0.629605 | ||||||||
\(902\) | −40.8025 | + | 2.56355i | −1.35857 | + | 0.0853569i | ||||
\(903\) | 4.13200 | + | 8.44950i | 0.137504 | + | 0.281182i | ||||
\(904\) | −40.2553 | − | 2.96661i | −1.33887 | − | 0.0986680i | ||||
\(905\) | −20.4779 | − | 17.2993i | −0.680709 | − | 0.575049i | ||||
\(906\) | −3.20330 | + | 5.47187i | −0.106422 | + | 0.181791i | ||||
\(907\) | 8.24300 | − | 2.20871i | 0.273704 | − | 0.0733389i | −0.119356 | − | 0.992852i | \(-0.538083\pi\) |
0.393060 | + | 0.919513i | \(0.371416\pi\) | |||||||
\(908\) | −10.2981 | + | 4.20051i | −0.341755 | + | 0.139399i | ||||
\(909\) | 31.1834 | − | 40.0849i | 1.03429 | − | 1.32953i | ||||
\(910\) | −5.62910 | − | 4.17983i | −0.186603 | − | 0.138560i | ||||
\(911\) | −17.4386 | − | 10.0682i | −0.577765 | − | 0.333573i | 0.182480 | − | 0.983210i | \(-0.441588\pi\) |
−0.760245 | + | 0.649637i | \(0.774921\pi\) | |||||||
\(912\) | −15.4302 | + | 2.84311i | −0.510945 | + | 0.0941447i | ||||
\(913\) | −7.32666 | + | 27.3435i | −0.242477 | + | 0.904936i | ||||
\(914\) | −14.4282 | + | 4.85424i | −0.477242 | + | 0.160564i | ||||
\(915\) | 39.1446 | − | 11.1280i | 1.29408 | − | 0.367879i | ||||
\(916\) | −19.0205 | + | 14.4322i | −0.628456 | + | 0.476853i | ||||
\(917\) | 16.3957 | − | 16.3957i | 0.541433 | − | 0.541433i | ||||
\(918\) | 14.7567 | + | 19.7442i | 0.487042 | + | 0.651654i | ||||
\(919\) | −23.0735 | −0.761123 | −0.380562 | − | 0.924756i | \(-0.624269\pi\) | ||||
−0.380562 | + | 0.924756i | \(0.624269\pi\) | |||||||
\(920\) | 38.6439 | − | 39.4546i | 1.27405 | − | 1.30078i | ||||
\(921\) | 18.1780 | + | 20.8674i | 0.598986 | + | 0.687606i | ||||
\(922\) | 40.3910 | + | 20.0546i | 1.33021 | + | 0.660462i | ||||
\(923\) | 5.99215 | + | 1.60559i | 0.197234 | + | 0.0528487i | ||||
\(924\) | 20.4875 | + | 4.26147i | 0.673991 | + | 0.140192i | ||||
\(925\) | −2.49780 | − | 1.77384i | −0.0821271 | − | 0.0583234i | ||||
\(926\) | 6.42764 | − | 31.8634i | 0.211226 | − | 1.04710i | ||||
\(927\) | 5.90724 | + | 2.49296i | 0.194019 | + | 0.0818795i | ||||
\(928\) | −0.151112 | + | 0.709425i | −0.00496049 | + | 0.0232880i | ||||
\(929\) | 0.0157990 | + | 0.00912158i | 0.000518350 | + | 0.000299269i | 0.500259 | − | 0.865876i | \(-0.333238\pi\) |
−0.499741 | + | 0.866175i | \(0.666571\pi\) | |||||||
\(930\) | 6.65684 | − | 35.7928i | 0.218286 | − | 1.17369i | ||||
\(931\) | 10.5204 | − | 6.07394i | 0.344791 | − | 0.199065i | ||||
\(932\) | 26.0891 | + | 20.2440i | 0.854578 | + | 0.663114i | ||||
\(933\) | 0.493113 | − | 0.241144i | 0.0161438 | − | 0.00789470i | ||||
\(934\) | −3.39155 | + | 3.84629i | −0.110975 | + | 0.125854i | ||||
\(935\) | 32.0565 | + | 15.0781i | 1.04836 | + | 0.493107i | ||||
\(936\) | 14.3826 | + | 3.08215i | 0.470111 | + | 0.100743i | ||||
\(937\) | −23.8839 | + | 23.8839i | −0.780254 | + | 0.780254i | −0.979873 | − | 0.199620i | \(-0.936029\pi\) |
0.199620 | + | 0.979873i | \(0.436029\pi\) | |||||||
\(938\) | −0.409957 | + | 0.0257569i | −0.0133856 | + | 0.000840993i | ||||
\(939\) | −27.3702 | + | 5.34983i | −0.893192 | + | 0.174585i | ||||
\(940\) | 20.4290 | + | 6.63790i | 0.666321 | + | 0.216505i | ||||
\(941\) | 8.97524 | + | 15.5456i | 0.292584 | + | 0.506771i | 0.974420 | − | 0.224734i | \(-0.0721514\pi\) |
−0.681836 | + | 0.731505i | \(0.738818\pi\) | |||||||
\(942\) | −0.533460 | + | 1.94397i | −0.0173811 | + | 0.0633381i | ||||
\(943\) | −13.8332 | − | 51.6260i | −0.450469 | − | 1.68117i | ||||
\(944\) | 41.2058 | + | 42.1070i | 1.34114 | + | 1.37047i | ||||
\(945\) | 11.8666 | + | 8.94576i | 0.386019 | + | 0.291006i | ||||
\(946\) | −27.7994 | − | 5.60782i | −0.903835 | − | 0.182326i | ||||
\(947\) | 47.8590 | − | 12.8238i | 1.55521 | − | 0.416717i | 0.624065 | − | 0.781372i | \(-0.285480\pi\) |
0.931143 | + | 0.364655i | \(0.118813\pi\) | |||||||
\(948\) | −2.85937 | + | 5.67286i | −0.0928681 | + | 0.184246i | ||||
\(949\) | −10.4172 | + | 6.01440i | −0.338158 | + | 0.195236i | ||||
\(950\) | −15.5895 | + | 3.66056i | −0.505789 | + | 0.118764i | ||||
\(951\) | −2.41366 | − | 12.3485i | −0.0782682 | − | 0.400427i | ||||
\(952\) | −11.4586 | − | 3.99364i | −0.371377 | − | 0.129435i | ||||
\(953\) | 27.7645 | + | 27.7645i | 0.899382 | + | 0.899382i | 0.995381 | − | 0.0959998i | \(-0.0306048\pi\) |
−0.0959998 | + | 0.995381i | \(0.530605\pi\) | |||||||
\(954\) | −18.1180 | + | 15.5919i | −0.586592 | + | 0.504806i | ||||
\(955\) | 13.2149 | + | 36.6866i | 0.427624 | + | 1.18715i | ||||
\(956\) | 1.05652 | + | 1.39241i | 0.0341702 | + | 0.0450336i | ||||
\(957\) | 0.460807 | + | 0.942301i | 0.0148958 | + | 0.0304603i | ||||
\(958\) | 28.4712 | + | 14.1363i | 0.919862 | + | 0.456722i | ||||
\(959\) | 9.19294 | + | 15.9226i | 0.296856 | + | 0.514169i | ||||
\(960\) | −28.6129 | − | 11.8871i | −0.923476 | − | 0.383655i | ||||
\(961\) | 6.59063 | − | 11.4153i | 0.212601 | − | 0.368236i | ||||
\(962\) | 1.25119 | − | 0.831136i | 0.0403401 | − | 0.0267969i | ||||
\(963\) | −19.7672 | − | 26.1185i | −0.636989 | − | 0.841657i | ||||
\(964\) | −3.89299 | + | 9.25659i | −0.125385 | + | 0.298135i | ||||
\(965\) | 0.281083 | − | 0.195428i | 0.00904839 | − | 0.00629103i | ||||
\(966\) | −0.164832 | + | 27.3566i | −0.00530337 | + | 0.880185i | ||||
\(967\) | −10.2921 | + | 38.4107i | −0.330972 | + | 1.23521i | 0.577198 | + | 0.816604i | \(0.304146\pi\) |
−0.908170 | + | 0.418601i | \(0.862521\pi\) | |||||||
\(968\) | −24.2154 | + | 20.8913i | −0.778314 | + | 0.671472i | ||||
\(969\) | 9.92101 | − | 8.64237i | 0.318709 | − | 0.277633i | ||||
\(970\) | 9.13249 | + | 3.61495i | 0.293227 | + | 0.116069i | ||||
\(971\) | − | 33.2546i | − | 1.06719i | −0.845740 | − | 0.533595i | \(-0.820841\pi\) | ||
0.845740 | − | 0.533595i | \(-0.179159\pi\) | |||||||
\(972\) | −30.4366 | − | 6.75393i | −0.976253 | − | 0.216632i | ||||
\(973\) | 0.297713 | + | 0.297713i | 0.00954423 | + | 0.00954423i | ||||
\(974\) | −37.5772 | + | 42.6155i | −1.20405 | + | 1.36549i | ||||
\(975\) | 14.8143 | + | 2.43154i | 0.474436 | + | 0.0778717i | ||||
\(976\) | 11.3167 | − | 40.4781i | 0.362238 | − | 1.29567i | ||||
\(977\) | 55.9039 | + | 14.9794i | 1.78853 | + | 0.479234i | 0.992094 | − | 0.125496i | \(-0.0400521\pi\) |
0.796431 | + | 0.604729i | \(0.206719\pi\) | |||||||
\(978\) | 13.0775 | + | 13.2361i | 0.418173 | + | 0.423243i | ||||
\(979\) | −27.1114 | + | 46.9583i | −0.866483 | + | 1.50079i | ||||
\(980\) | 23.9563 | + | 1.25561i | 0.765255 | + | 0.0401091i | ||||
\(981\) | 3.59476 | − | 25.9707i | 0.114772 | − | 0.829180i | ||||
\(982\) | 1.04779 | + | 1.57735i | 0.0334363 | + | 0.0503351i | ||||
\(983\) | 14.2831 | + | 53.3053i | 0.455561 | + | 1.70018i | 0.686434 | + | 0.727192i | \(0.259175\pi\) |
−0.230873 | + | 0.972984i | \(0.574158\pi\) | |||||||
\(984\) | −23.9961 | + | 17.9808i | −0.764969 | + | 0.573206i | ||||
\(985\) | 39.8293 | − | 3.35126i | 1.26907 | − | 0.106780i | ||||
\(986\) | −0.193961 | − | 0.576508i | −0.00617698 | − | 0.0183598i | ||||
\(987\) | −9.55873 | + | 4.67444i | −0.304258 | + | 0.148789i | ||||
\(988\) | 1.06691 | − | 7.77868i | 0.0339429 | − | 0.247473i | ||||
\(989\) | − | 37.0748i | − | 1.17891i | ||||||
\(990\) | −43.1722 | + | 11.9922i | −1.37210 | + | 0.381138i | ||||
\(991\) | 8.96364i | 0.284739i | 0.989814 | + | 0.142370i | \(0.0454722\pi\) | ||||
−0.989814 | + | 0.142370i | \(0.954528\pi\) | |||||||
\(992\) | −27.9318 | − | 25.1717i | −0.886836 | − | 0.799202i | ||||
\(993\) | −26.7175 | − | 17.9807i | −0.847854 | − | 0.570600i | ||||
\(994\) | 6.13508 | − | 2.06409i | 0.194593 | − | 0.0654691i | ||||
\(995\) | 7.70603 | + | 6.50989i | 0.244297 | + | 0.206377i | ||||
\(996\) | 6.50197 | + | 19.7180i | 0.206023 | + | 0.624790i | ||||
\(997\) | −1.19796 | − | 4.47087i | −0.0379399 | − | 0.141594i | 0.944358 | − | 0.328920i | \(-0.106685\pi\) |
−0.982298 | + | 0.187326i | \(0.940018\pi\) | |||||||
\(998\) | −1.19115 | + | 0.791251i | −0.0377052 | + | 0.0250466i | ||||
\(999\) | −2.66469 | + | 1.74234i | −0.0843072 | + | 0.0551252i |
(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 | 180.2.x.a.43.16 | yes | 128 | |
3.2 | odd | 2 | 540.2.y.a.343.17 | 128 | |||
4.3 | odd | 2 | inner | 180.2.x.a.43.12 | yes | 128 | |
5.2 | odd | 4 | inner | 180.2.x.a.7.31 | yes | 128 | |
5.3 | odd | 4 | 900.2.bf.e.7.2 | 128 | |||
5.4 | even | 2 | 900.2.bf.e.43.17 | 128 | |||
9.4 | even | 3 | inner | 180.2.x.a.103.29 | yes | 128 | |
9.5 | odd | 6 | 540.2.y.a.523.4 | 128 | |||
12.11 | even | 2 | 540.2.y.a.343.21 | 128 | |||
15.2 | even | 4 | 540.2.y.a.127.2 | 128 | |||
20.3 | even | 4 | 900.2.bf.e.7.4 | 128 | |||
20.7 | even | 4 | inner | 180.2.x.a.7.29 | ✓ | 128 | |
20.19 | odd | 2 | 900.2.bf.e.43.21 | 128 | |||
36.23 | even | 6 | 540.2.y.a.523.2 | 128 | |||
36.31 | odd | 6 | inner | 180.2.x.a.103.31 | yes | 128 | |
45.4 | even | 6 | 900.2.bf.e.643.4 | 128 | |||
45.13 | odd | 12 | 900.2.bf.e.607.21 | 128 | |||
45.22 | odd | 12 | inner | 180.2.x.a.67.12 | yes | 128 | |
45.32 | even | 12 | 540.2.y.a.307.21 | 128 | |||
60.47 | odd | 4 | 540.2.y.a.127.4 | 128 | |||
180.67 | even | 12 | inner | 180.2.x.a.67.16 | yes | 128 | |
180.103 | even | 12 | 900.2.bf.e.607.17 | 128 | |||
180.139 | odd | 6 | 900.2.bf.e.643.2 | 128 | |||
180.167 | odd | 12 | 540.2.y.a.307.17 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
180.2.x.a.7.29 | ✓ | 128 | 20.7 | even | 4 | inner | |
180.2.x.a.7.31 | yes | 128 | 5.2 | odd | 4 | inner | |
180.2.x.a.43.12 | yes | 128 | 4.3 | odd | 2 | inner | |
180.2.x.a.43.16 | yes | 128 | 1.1 | even | 1 | trivial | |
180.2.x.a.67.12 | yes | 128 | 45.22 | odd | 12 | inner | |
180.2.x.a.67.16 | yes | 128 | 180.67 | even | 12 | inner | |
180.2.x.a.103.29 | yes | 128 | 9.4 | even | 3 | inner | |
180.2.x.a.103.31 | yes | 128 | 36.31 | odd | 6 | inner | |
540.2.y.a.127.2 | 128 | 15.2 | even | 4 | |||
540.2.y.a.127.4 | 128 | 60.47 | odd | 4 | |||
540.2.y.a.307.17 | 128 | 180.167 | odd | 12 | |||
540.2.y.a.307.21 | 128 | 45.32 | even | 12 | |||
540.2.y.a.343.17 | 128 | 3.2 | odd | 2 | |||
540.2.y.a.343.21 | 128 | 12.11 | even | 2 | |||
540.2.y.a.523.2 | 128 | 36.23 | even | 6 | |||
540.2.y.a.523.4 | 128 | 9.5 | odd | 6 | |||
900.2.bf.e.7.2 | 128 | 5.3 | odd | 4 | |||
900.2.bf.e.7.4 | 128 | 20.3 | even | 4 | |||
900.2.bf.e.43.17 | 128 | 5.4 | even | 2 | |||
900.2.bf.e.43.21 | 128 | 20.19 | odd | 2 | |||
900.2.bf.e.607.17 | 128 | 180.103 | even | 12 | |||
900.2.bf.e.607.21 | 128 | 45.13 | odd | 12 | |||
900.2.bf.e.643.2 | 128 | 180.139 | odd | 6 | |||
900.2.bf.e.643.4 | 128 | 45.4 | even | 6 |