Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,2,Mod(11,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.o (of order \(8\), 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: | \(0.766563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 96.11 |
Dual form | 96.2.o.a.35.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.816393 | + | 1.15477i | 0.577277 | + | 0.816548i | ||||
\(3\) | −1.02188 | − | 1.39848i | −0.589985 | − | 0.807414i | ||||
\(4\) | −0.667005 | + | 1.88550i | −0.333502 | + | 0.942749i | ||||
\(5\) | 3.14689 | + | 1.30348i | 1.40733 | + | 0.582935i | 0.951644 | − | 0.307205i | \(-0.0993936\pi\) |
0.455687 | + | 0.890140i | \(0.349394\pi\) | |||||||
\(6\) | 0.780671 | − | 2.32176i | 0.318707 | − | 0.947853i | ||||
\(7\) | 0.663471 | − | 0.663471i | 0.250769 | − | 0.250769i | −0.570517 | − | 0.821286i | \(-0.693257\pi\) |
0.821286 | + | 0.570517i | \(0.193257\pi\) | |||||||
\(8\) | −2.72186 | + | 0.769068i | −0.962324 | + | 0.271907i | ||||
\(9\) | −0.911503 | + | 2.85817i | −0.303834 | + | 0.952725i | ||||
\(10\) | 1.06387 | + | 4.69810i | 0.336425 | + | 1.48567i | ||||
\(11\) | −1.91929 | − | 0.794997i | −0.578689 | − | 0.239701i | 0.0740873 | − | 0.997252i | \(-0.476396\pi\) |
−0.652776 | + | 0.757551i | \(0.726396\pi\) | |||||||
\(12\) | 3.31844 | − | 0.993968i | 0.957950 | − | 0.286934i | ||||
\(13\) | −2.31672 | − | 5.59306i | −0.642543 | − | 1.55123i | −0.823238 | − | 0.567696i | \(-0.807835\pi\) |
0.180696 | − | 0.983539i | \(-0.442165\pi\) | |||||||
\(14\) | 1.30781 | + | 0.224506i | 0.349528 | + | 0.0600017i | ||||
\(15\) | −1.39286 | − | 5.73287i | −0.359634 | − | 1.48022i | ||||
\(16\) | −3.11021 | − | 2.51527i | −0.777552 | − | 0.628818i | ||||
\(17\) | −2.24987 | −0.545673 | −0.272837 | − | 0.962060i | \(-0.587962\pi\) | ||||
−0.272837 | + | 0.962060i | \(0.587962\pi\) | |||||||
\(18\) | −4.04469 | + | 1.28081i | −0.953343 | + | 0.301891i | ||||
\(19\) | 3.08841 | − | 1.27926i | 0.708530 | − | 0.293483i | 0.000833646 | − | 1.00000i | \(-0.499735\pi\) |
0.707696 | + | 0.706517i | \(0.249735\pi\) | |||||||
\(20\) | −4.55670 | + | 5.06402i | −1.01891 | + | 1.13235i | ||||
\(21\) | −1.60584 | − | 0.249861i | −0.350424 | − | 0.0545242i | ||||
\(22\) | −0.648856 | − | 2.86538i | −0.138336 | − | 0.610901i | ||||
\(23\) | −4.32171 | + | 4.32171i | −0.901140 | + | 0.901140i | −0.995535 | − | 0.0943951i | \(-0.969908\pi\) |
0.0943951 | + | 0.995535i | \(0.469908\pi\) | |||||||
\(24\) | 3.85696 | + | 3.02058i | 0.787298 | + | 0.616572i | ||||
\(25\) | 4.66830 | + | 4.66830i | 0.933659 | + | 0.933659i | ||||
\(26\) | 4.56736 | − | 7.24142i | 0.895733 | − | 1.42016i | ||||
\(27\) | 4.92856 | − | 1.64600i | 0.948501 | − | 0.316774i | ||||
\(28\) | 0.808436 | + | 1.69351i | 0.152780 | + | 0.320044i | ||||
\(29\) | −0.546766 | − | 1.32001i | −0.101532 | − | 0.245120i | 0.864948 | − | 0.501861i | \(-0.167351\pi\) |
−0.966480 | + | 0.256741i | \(0.917351\pi\) | |||||||
\(30\) | 5.48305 | − | 6.28871i | 1.00106 | − | 1.14816i | ||||
\(31\) | 2.34273i | 0.420767i | 0.977619 | + | 0.210384i | \(0.0674713\pi\) | ||||
−0.977619 | + | 0.210384i | \(0.932529\pi\) | |||||||
\(32\) | 0.365418 | − | 5.64504i | 0.0645974 | − | 0.997911i | ||||
\(33\) | 0.849507 | + | 3.49649i | 0.147880 | + | 0.608661i | ||||
\(34\) | −1.83678 | − | 2.59809i | −0.315005 | − | 0.445569i | ||||
\(35\) | 2.95269 | − | 1.22305i | 0.499096 | − | 0.206732i | ||||
\(36\) | −4.78111 | − | 3.62505i | −0.796851 | − | 0.604176i | ||||
\(37\) | −0.324682 | + | 0.783851i | −0.0533774 | + | 0.128864i | −0.948319 | − | 0.317319i | \(-0.897217\pi\) |
0.894941 | + | 0.446184i | \(0.147217\pi\) | |||||||
\(38\) | 3.99861 | + | 2.52203i | 0.648661 | + | 0.409128i | ||||
\(39\) | −5.45437 | + | 8.95535i | −0.873398 | + | 1.43400i | ||||
\(40\) | −9.56786 | − | 1.12773i | −1.51281 | − | 0.178310i | ||||
\(41\) | 4.73908 | + | 4.73908i | 0.740120 | + | 0.740120i | 0.972601 | − | 0.232481i | \(-0.0746843\pi\) |
−0.232481 | + | 0.972601i | \(0.574684\pi\) | |||||||
\(42\) | −1.02247 | − | 2.05837i | −0.157770 | − | 0.317614i | ||||
\(43\) | 0.951664 | − | 2.29752i | 0.145127 | − | 0.350369i | −0.834555 | − | 0.550925i | \(-0.814275\pi\) |
0.979682 | + | 0.200556i | \(0.0642750\pi\) | |||||||
\(44\) | 2.77914 | − | 3.08856i | 0.418972 | − | 0.465617i | ||||
\(45\) | −6.59398 | + | 7.80622i | −0.982973 | + | 1.16368i | ||||
\(46\) | −8.51882 | − | 1.46238i | −1.25603 | − | 0.215617i | ||||
\(47\) | − | 3.02812i | − | 0.441696i | −0.975308 | − | 0.220848i | \(-0.929117\pi\) | ||
0.975308 | − | 0.220848i | \(-0.0708825\pi\) | |||||||
\(48\) | −0.339289 | + | 6.91989i | −0.0489721 | + | 0.998800i | ||||
\(49\) | 6.11961i | 0.874230i | ||||||||
\(50\) | −1.57966 | + | 9.20199i | −0.223398 | + | 1.30136i | ||||
\(51\) | 2.29911 | + | 3.14640i | 0.321939 | + | 0.440584i | ||||
\(52\) | 12.0910 | − | 0.637576i | 1.67671 | − | 0.0884159i | ||||
\(53\) | 3.49549 | − | 8.43885i | 0.480142 | − | 1.15916i | −0.479399 | − | 0.877597i | \(-0.659145\pi\) |
0.959541 | − | 0.281568i | \(-0.0908545\pi\) | |||||||
\(54\) | 5.92440 | + | 4.34758i | 0.806209 | + | 0.591631i | ||||
\(55\) | −5.00353 | − | 5.00353i | −0.674676 | − | 0.674676i | ||||
\(56\) | −1.29562 | + | 2.31613i | −0.173135 | + | 0.309506i | ||||
\(57\) | −4.94502 | − | 3.01183i | −0.654984 | − | 0.398926i | ||||
\(58\) | 1.07794 | − | 1.70904i | 0.141540 | − | 0.224408i | ||||
\(59\) | −3.11165 | + | 7.51220i | −0.405103 | + | 0.978005i | 0.581305 | + | 0.813686i | \(0.302542\pi\) |
−0.986407 | + | 0.164318i | \(0.947458\pi\) | |||||||
\(60\) | 11.7384 | + | 1.19762i | 1.51542 | + | 0.154612i | ||||
\(61\) | −1.01639 | + | 0.421005i | −0.130136 | + | 0.0539041i | −0.446801 | − | 0.894633i | \(-0.647437\pi\) |
0.316665 | + | 0.948537i | \(0.397437\pi\) | |||||||
\(62\) | −2.70533 | + | 1.91259i | −0.343577 | + | 0.242899i | ||||
\(63\) | 1.29156 | + | 2.50107i | 0.162721 | + | 0.315106i | ||||
\(64\) | 6.81707 | − | 4.18660i | 0.852134 | − | 0.523324i | ||||
\(65\) | − | 20.6205i | − | 2.55766i | ||||||
\(66\) | −3.34413 | + | 3.83550i | −0.411633 | + | 0.472117i | ||||
\(67\) | 3.46052 | + | 8.35443i | 0.422770 | + | 1.02066i | 0.981527 | + | 0.191325i | \(0.0612784\pi\) |
−0.558757 | + | 0.829331i | \(0.688722\pi\) | |||||||
\(68\) | 1.50067 | − | 4.24213i | 0.181983 | − | 0.514433i | ||||
\(69\) | 10.4601 | + | 1.62755i | 1.25925 | + | 0.195933i | ||||
\(70\) | 3.82290 | + | 2.41121i | 0.456924 | + | 0.288194i | ||||
\(71\) | −0.167408 | − | 0.167408i | −0.0198677 | − | 0.0198677i | 0.697103 | − | 0.716971i | \(-0.254472\pi\) |
−0.716971 | + | 0.697103i | \(0.754472\pi\) | |||||||
\(72\) | 0.282855 | − | 8.48057i | 0.0333348 | − | 0.999444i | ||||
\(73\) | 3.86922 | − | 3.86922i | 0.452858 | − | 0.452858i | −0.443444 | − | 0.896302i | \(-0.646244\pi\) |
0.896302 | + | 0.443444i | \(0.146244\pi\) | |||||||
\(74\) | −1.17024 | + | 0.264997i | −0.136037 | + | 0.0308052i | ||||
\(75\) | 1.75807 | − | 11.2990i | 0.203004 | − | 1.30469i | ||||
\(76\) | 0.352061 | + | 6.67646i | 0.0403841 | + | 0.765843i | ||||
\(77\) | −1.80085 | + | 0.745938i | −0.205226 | + | 0.0850075i | ||||
\(78\) | −14.7943 | + | 1.01252i | −1.67513 | + | 0.114646i | ||||
\(79\) | 2.44740 | 0.275354 | 0.137677 | − | 0.990477i | \(-0.456036\pi\) | ||||
0.137677 | + | 0.990477i | \(0.456036\pi\) | |||||||
\(80\) | −6.50886 | − | 11.9694i | −0.727713 | − | 1.33822i | ||||
\(81\) | −7.33832 | − | 5.21047i | −0.815369 | − | 0.578941i | ||||
\(82\) | −1.60361 | + | 9.34152i | −0.177090 | + | 1.03160i | ||||
\(83\) | 5.17660 | + | 12.4974i | 0.568206 | + | 1.37177i | 0.903066 | + | 0.429502i | \(0.141311\pi\) |
−0.334860 | + | 0.942268i | \(0.608689\pi\) | |||||||
\(84\) | 1.54222 | − | 2.86116i | 0.168270 | − | 0.312178i | ||||
\(85\) | −7.08008 | − | 2.93267i | −0.767943 | − | 0.318092i | ||||
\(86\) | 3.43005 | − | 0.776723i | 0.369872 | − | 0.0837562i | ||||
\(87\) | −1.28728 | + | 2.11354i | −0.138011 | + | 0.226595i | ||||
\(88\) | 5.83546 | + | 0.687806i | 0.622062 | + | 0.0733203i | ||||
\(89\) | −6.63254 | + | 6.63254i | −0.703048 | + | 0.703048i | −0.965064 | − | 0.262016i | \(-0.915613\pi\) |
0.262016 | + | 0.965064i | \(0.415613\pi\) | |||||||
\(90\) | −14.3977 | − | 1.24161i | −1.51765 | − | 0.130877i | ||||
\(91\) | −5.24791 | − | 2.17376i | −0.550130 | − | 0.227871i | ||||
\(92\) | −5.26598 | − | 11.0312i | −0.549017 | − | 1.15008i | ||||
\(93\) | 3.27627 | − | 2.39400i | 0.339733 | − | 0.248246i | ||||
\(94\) | 3.49679 | − | 2.47213i | 0.360666 | − | 0.254981i | ||||
\(95\) | 11.3864 | 1.16822 | ||||||||
\(96\) | −8.26790 | + | 5.25755i | −0.843839 | + | 0.536596i | ||||
\(97\) | 4.48787 | 0.455674 | 0.227837 | − | 0.973699i | \(-0.426835\pi\) | ||||
0.227837 | + | 0.973699i | \(0.426835\pi\) | |||||||
\(98\) | −7.06677 | + | 4.99601i | −0.713851 | + | 0.504673i | ||||
\(99\) | 4.02168 | − | 4.76103i | 0.404194 | − | 0.478502i | ||||
\(100\) | −11.9158 | + | 5.68829i | −1.19158 | + | 0.568829i | ||||
\(101\) | −12.6091 | − | 5.22285i | −1.25465 | − | 0.519693i | −0.346386 | − | 0.938092i | \(-0.612591\pi\) |
−0.908263 | + | 0.418399i | \(0.862591\pi\) | |||||||
\(102\) | −1.75641 | + | 5.22365i | −0.173910 | + | 0.517218i | ||||
\(103\) | 5.37192 | − | 5.37192i | 0.529311 | − | 0.529311i | −0.391056 | − | 0.920367i | \(-0.627890\pi\) |
0.920367 | + | 0.391056i | \(0.127890\pi\) | |||||||
\(104\) | 10.6072 | + | 13.4418i | 1.04012 | + | 1.31808i | ||||
\(105\) | −4.72772 | − | 2.87948i | −0.461378 | − | 0.281008i | ||||
\(106\) | 12.5986 | − | 2.85292i | 1.22369 | − | 0.277100i | ||||
\(107\) | −13.4838 | − | 5.58517i | −1.30353 | − | 0.539939i | −0.380538 | − | 0.924765i | \(-0.624261\pi\) |
−0.922989 | + | 0.384826i | \(0.874261\pi\) | |||||||
\(108\) | −0.183832 | + | 10.3907i | −0.0176893 | + | 0.999844i | ||||
\(109\) | −1.82205 | − | 4.39883i | −0.174521 | − | 0.421331i | 0.812280 | − | 0.583268i | \(-0.198226\pi\) |
−0.986801 | + | 0.161936i | \(0.948226\pi\) | |||||||
\(110\) | 1.69310 | − | 9.86280i | 0.161431 | − | 0.940381i | ||||
\(111\) | 1.42799 | − | 0.346944i | 0.135539 | − | 0.0329305i | ||||
\(112\) | −3.73235 | + | 0.394723i | −0.352674 | + | 0.0372978i | ||||
\(113\) | 5.85162 | 0.550475 | 0.275237 | − | 0.961376i | \(-0.411244\pi\) | ||||
0.275237 | + | 0.961376i | \(0.411244\pi\) | |||||||
\(114\) | −0.559102 | − | 8.16922i | −0.0523647 | − | 0.765117i | ||||
\(115\) | −19.2332 | + | 7.96666i | −1.79351 | + | 0.742895i | ||||
\(116\) | 2.85357 | − | 0.150473i | 0.264947 | − | 0.0139711i | ||||
\(117\) | 18.0976 | − | 1.52350i | 1.67313 | − | 0.140848i | ||||
\(118\) | −11.2152 | + | 2.53965i | −1.03244 | + | 0.233794i | ||||
\(119\) | −1.49272 | + | 1.49272i | −0.136838 | + | 0.136838i | ||||
\(120\) | 8.20014 | + | 14.5329i | 0.748567 | + | 1.32667i | ||||
\(121\) | −4.72651 | − | 4.72651i | −0.429683 | − | 0.429683i | ||||
\(122\) | −1.31594 | − | 0.830001i | −0.119140 | − | 0.0751448i | ||||
\(123\) | 1.78472 | − | 11.4703i | 0.160923 | − | 1.03424i | ||||
\(124\) | −4.41722 | − | 1.56261i | −0.396678 | − | 0.140327i | ||||
\(125\) | 2.08814 | + | 5.04121i | 0.186769 | + | 0.450899i | ||||
\(126\) | −1.83375 | + | 3.53332i | −0.163364 | + | 0.314773i | ||||
\(127\) | − | 10.2914i | − | 0.913216i | −0.889668 | − | 0.456608i | \(-0.849064\pi\) | ||
0.889668 | − | 0.456608i | \(-0.150936\pi\) | |||||||
\(128\) | 10.4000 | + | 4.45426i | 0.919237 | + | 0.393705i | ||||
\(129\) | −4.18553 | + | 1.01692i | −0.368516 | + | 0.0895345i | ||||
\(130\) | 23.8120 | − | 16.8345i | 2.08845 | − | 1.47648i | ||||
\(131\) | 16.3968 | − | 6.79177i | 1.43259 | − | 0.593400i | 0.474603 | − | 0.880200i | \(-0.342592\pi\) |
0.957990 | + | 0.286800i | \(0.0925915\pi\) | |||||||
\(132\) | −7.15926 | − | 0.730433i | −0.623133 | − | 0.0635760i | ||||
\(133\) | 1.20032 | − | 2.89782i | 0.104081 | − | 0.251273i | ||||
\(134\) | −6.82233 | + | 10.8166i | −0.589360 | + | 0.934413i | ||||
\(135\) | 17.6551 | + | 1.24450i | 1.51951 | + | 0.107110i | ||||
\(136\) | 6.12383 | − | 1.73030i | 0.525114 | − | 0.148372i | ||||
\(137\) | 8.43673 | + | 8.43673i | 0.720799 | + | 0.720799i | 0.968768 | − | 0.247969i | \(-0.0797631\pi\) |
−0.247969 | + | 0.968768i | \(0.579763\pi\) | |||||||
\(138\) | 6.66013 | + | 13.4078i | 0.566948 | + | 1.14135i | ||||
\(139\) | −7.74040 | + | 18.6870i | −0.656532 | + | 1.58501i | 0.146592 | + | 0.989197i | \(0.453169\pi\) |
−0.803124 | + | 0.595812i | \(0.796831\pi\) | |||||||
\(140\) | 0.336590 | + | 6.38308i | 0.0284470 | + | 0.539468i | ||||
\(141\) | −4.23477 | + | 3.09439i | −0.356632 | + | 0.260594i | ||||
\(142\) | 0.0566477 | − | 0.329990i | 0.00475377 | − | 0.0276921i | ||||
\(143\) | 12.5765i | 1.05170i | ||||||||
\(144\) | 10.0241 | − | 6.59684i | 0.835338 | − | 0.549737i | ||||
\(145\) | − | 4.86662i | − | 0.404151i | ||||||
\(146\) | 7.62688 | + | 1.30927i | 0.631205 | + | 0.108356i | ||||
\(147\) | 8.55817 | − | 6.25354i | 0.705866 | − | 0.515783i | ||||
\(148\) | −1.26139 | − | 1.13502i | −0.103685 | − | 0.0932980i | ||||
\(149\) | −4.26837 | + | 10.3048i | −0.349678 | + | 0.844198i | 0.646979 | + | 0.762508i | \(0.276032\pi\) |
−0.996658 | + | 0.0816908i | \(0.973968\pi\) | |||||||
\(150\) | 14.4830 | − | 7.19424i | 1.18254 | − | 0.587408i | ||||
\(151\) | 12.1716 | + | 12.1716i | 0.990514 | + | 0.990514i | 0.999955 | − | 0.00944142i | \(-0.00300534\pi\) |
−0.00944142 | + | 0.999955i | \(0.503005\pi\) | |||||||
\(152\) | −7.42239 | + | 5.85717i | −0.602035 | + | 0.475079i | ||||
\(153\) | 2.05076 | − | 6.43052i | 0.165794 | − | 0.519877i | ||||
\(154\) | −2.33159 | − | 1.47060i | −0.187885 | − | 0.118504i | ||||
\(155\) | −3.05371 | + | 7.37231i | −0.245280 | + | 0.592159i | ||||
\(156\) | −13.2472 | − | 16.2575i | −1.06063 | − | 1.30164i | ||||
\(157\) | −10.1467 | + | 4.20290i | −0.809795 | + | 0.335428i | −0.748872 | − | 0.662714i | \(-0.769404\pi\) |
−0.0609231 | + | 0.998142i | \(0.519404\pi\) | |||||||
\(158\) | 1.99804 | + | 2.82620i | 0.158956 | + | 0.224840i | ||||
\(159\) | −15.3736 | + | 3.73516i | −1.21920 | + | 0.296217i | ||||
\(160\) | 8.50814 | − | 17.2880i | 0.672628 | − | 1.36674i | ||||
\(161\) | 5.73467i | 0.451955i | ||||||||
\(162\) | 0.0259577 | − | 12.7279i | 0.00203943 | − | 0.999998i | ||||
\(163\) | −4.03936 | − | 9.75187i | −0.316387 | − | 0.763826i | −0.999440 | − | 0.0334571i | \(-0.989348\pi\) |
0.683053 | − | 0.730369i | \(-0.260652\pi\) | |||||||
\(164\) | −12.0965 | + | 5.77454i | −0.944580 | + | 0.450916i | ||||
\(165\) | −1.88432 | + | 12.1104i | −0.146694 | + | 0.942792i | ||||
\(166\) | −10.2055 | + | 16.1806i | −0.792104 | + | 1.25586i | ||||
\(167\) | −12.8761 | − | 12.8761i | −0.996385 | − | 0.996385i | 0.00360853 | − | 0.999993i | \(-0.498851\pi\) |
−0.999993 | + | 0.00360853i | \(0.998851\pi\) | |||||||
\(168\) | 4.56305 | − | 0.554915i | 0.352047 | − | 0.0428126i | ||||
\(169\) | −16.7227 | + | 16.7227i | −1.28636 | + | 1.28636i | ||||
\(170\) | −2.39356 | − | 10.5701i | −0.183578 | − | 0.810690i | ||||
\(171\) | 0.841256 | + | 9.99326i | 0.0643325 | + | 0.764204i | ||||
\(172\) | 3.69721 | + | 3.32682i | 0.281909 | + | 0.253668i | ||||
\(173\) | 9.91155 | − | 4.10550i | 0.753561 | − | 0.312135i | 0.0273673 | − | 0.999625i | \(-0.491288\pi\) |
0.726194 | + | 0.687490i | \(0.241288\pi\) | |||||||
\(174\) | −3.49159 | + | 0.238965i | −0.264696 | + | 0.0181159i | ||||
\(175\) | 6.19456 | 0.468265 | ||||||||
\(176\) | 3.96977 | + | 7.30015i | 0.299232 | + | 0.550270i | ||||
\(177\) | 13.6854 | − | 3.32501i | 1.02866 | − | 0.249923i | ||||
\(178\) | −13.0738 | − | 2.24432i | −0.979926 | − | 0.168219i | ||||
\(179\) | −9.52280 | − | 22.9901i | −0.711768 | − | 1.71836i | −0.695536 | − | 0.718491i | \(-0.744833\pi\) |
−0.0162316 | − | 0.999868i | \(-0.505167\pi\) | |||||||
\(180\) | −10.3204 | − | 17.6397i | −0.769238 | − | 1.31479i | ||||
\(181\) | 11.0607 | + | 4.58151i | 0.822139 | + | 0.340541i | 0.753786 | − | 0.657120i | \(-0.228226\pi\) |
0.0683528 | + | 0.997661i | \(0.478226\pi\) | |||||||
\(182\) | −1.77416 | − | 7.83479i | −0.131510 | − | 0.580753i | ||||
\(183\) | 1.62741 | + | 0.991192i | 0.120301 | + | 0.0732710i | ||||
\(184\) | 8.43942 | − | 15.0868i | 0.622162 | − | 1.11221i | ||||
\(185\) | −2.04347 | + | 2.04347i | −0.150239 | + | 0.150239i | ||||
\(186\) | 5.43925 | + | 1.82890i | 0.398825 | + | 0.134102i | ||||
\(187\) | 4.31816 | + | 1.78864i | 0.315775 | + | 0.130798i | ||||
\(188\) | 5.70951 | + | 2.01977i | 0.416409 | + | 0.147307i | ||||
\(189\) | 2.17788 | − | 4.36203i | 0.158417 | − | 0.317291i | ||||
\(190\) | 9.29575 | + | 13.1487i | 0.674385 | + | 0.953906i | ||||
\(191\) | −0.133706 | −0.00967461 | −0.00483731 | − | 0.999988i | \(-0.501540\pi\) | ||||
−0.00483731 | + | 0.999988i | \(0.501540\pi\) | |||||||
\(192\) | −12.8211 | − | 5.25533i | −0.925286 | − | 0.379271i | ||||
\(193\) | 7.48776 | 0.538981 | 0.269490 | − | 0.963003i | \(-0.413145\pi\) | ||||
0.269490 | + | 0.963003i | \(0.413145\pi\) | |||||||
\(194\) | 3.66387 | + | 5.18248i | 0.263050 | + | 0.372080i | ||||
\(195\) | −28.8374 | + | 21.0718i | −2.06509 | + | 1.50898i | ||||
\(196\) | −11.5385 | − | 4.08181i | −0.824180 | − | 0.291558i | ||||
\(197\) | 4.23540 | + | 1.75436i | 0.301759 | + | 0.124993i | 0.528425 | − | 0.848980i | \(-0.322783\pi\) |
−0.226666 | + | 0.973973i | \(0.572783\pi\) | |||||||
\(198\) | 8.78119 | + | 0.757260i | 0.624052 | + | 0.0538161i | ||||
\(199\) | 3.74082 | − | 3.74082i | 0.265179 | − | 0.265179i | −0.561975 | − | 0.827154i | \(-0.689958\pi\) |
0.827154 | + | 0.561975i | \(0.189958\pi\) | |||||||
\(200\) | −16.2967 | − | 9.11622i | −1.15235 | − | 0.644614i | ||||
\(201\) | 8.14727 | − | 13.3767i | 0.574664 | − | 0.943522i | ||||
\(202\) | −4.26275 | − | 18.8245i | −0.299926 | − | 1.32449i | ||||
\(203\) | −1.23855 | − | 0.513025i | −0.0869293 | − | 0.0360073i | ||||
\(204\) | −7.46605 | + | 2.23630i | −0.522728 | + | 0.156572i | ||||
\(205\) | 8.73604 | + | 21.0907i | 0.610152 | + | 1.47304i | ||||
\(206\) | 10.5889 | + | 1.81775i | 0.737767 | + | 0.126649i | ||||
\(207\) | −8.41296 | − | 16.2915i | −0.584741 | − | 1.13234i | ||||
\(208\) | −6.86258 | + | 23.2228i | −0.475834 | + | 1.61021i | ||||
\(209\) | −6.94457 | −0.480366 | ||||||||
\(210\) | −0.534533 | − | 7.81023i | −0.0368863 | − | 0.538957i | ||||
\(211\) | 0.564367 | − | 0.233768i | 0.0388526 | − | 0.0160933i | −0.363173 | − | 0.931722i | \(-0.618306\pi\) |
0.402025 | + | 0.915629i | \(0.368306\pi\) | |||||||
\(212\) | 13.5799 | + | 12.2195i | 0.932673 | + | 0.839238i | ||||
\(213\) | −0.0630455 | + | 0.405189i | −0.00431980 | + | 0.0277631i | ||||
\(214\) | −4.55847 | − | 20.1304i | −0.311610 | − | 1.37609i | ||||
\(215\) | 5.98956 | − | 5.98956i | 0.408485 | − | 0.408485i | ||||
\(216\) | −12.1490 | + | 8.27059i | −0.826632 | + | 0.562743i | ||||
\(217\) | 1.55434 | + | 1.55434i | 0.105515 | + | 0.105515i | ||||
\(218\) | 3.59214 | − | 5.69523i | 0.243290 | − | 0.385730i | ||||
\(219\) | −9.36493 | − | 1.45714i | −0.632823 | − | 0.0984642i | ||||
\(220\) | 12.7715 | − | 6.09677i | 0.861057 | − | 0.411044i | ||||
\(221\) | 5.21232 | + | 12.5836i | 0.350618 | + | 0.846468i | ||||
\(222\) | 1.56644 | + | 1.36576i | 0.105133 | + | 0.0916639i | ||||
\(223\) | − | 10.6887i | − | 0.715768i | −0.933766 | − | 0.357884i | \(-0.883498\pi\) | ||
0.933766 | − | 0.357884i | \(-0.116502\pi\) | |||||||
\(224\) | −3.50288 | − | 3.98777i | −0.234046 | − | 0.266444i | ||||
\(225\) | −17.5980 | + | 9.08764i | −1.17320 | + | 0.605842i | ||||
\(226\) | 4.77723 | + | 6.75730i | 0.317776 | + | 0.449489i | ||||
\(227\) | −1.76729 | + | 0.732035i | −0.117299 | + | 0.0485869i | −0.440561 | − | 0.897723i | \(-0.645220\pi\) |
0.323262 | + | 0.946309i | \(0.395220\pi\) | |||||||
\(228\) | 8.97715 | − | 7.31493i | 0.594526 | − | 0.484443i | ||||
\(229\) | −4.83167 | + | 11.6647i | −0.319286 | + | 0.770824i | 0.680007 | + | 0.733206i | \(0.261977\pi\) |
−0.999292 | + | 0.0376176i | \(0.988023\pi\) | |||||||
\(230\) | −24.9016 | − | 15.7061i | −1.64196 | − | 1.03563i | ||||
\(231\) | 2.88345 | + | 1.75620i | 0.189717 | + | 0.115549i | ||||
\(232\) | 2.50340 | + | 3.17238i | 0.164356 | + | 0.208277i | ||||
\(233\) | −6.98725 | − | 6.98725i | −0.457750 | − | 0.457750i | 0.440166 | − | 0.897916i | \(-0.354920\pi\) |
−0.897916 | + | 0.440166i | \(0.854920\pi\) | |||||||
\(234\) | 16.5341 | + | 19.6549i | 1.08087 | + | 1.28488i | ||||
\(235\) | 3.94710 | − | 9.52914i | 0.257480 | − | 0.621613i | ||||
\(236\) | −12.0887 | − | 10.8777i | −0.786910 | − | 0.708077i | ||||
\(237\) | −2.50096 | − | 3.42265i | −0.162455 | − | 0.222325i | ||||
\(238\) | −2.94241 | − | 0.505109i | −0.190728 | − | 0.0327413i | ||||
\(239\) | − | 6.60970i | − | 0.427546i | −0.976883 | − | 0.213773i | \(-0.931425\pi\) | ||
0.976883 | − | 0.213773i | \(-0.0685752\pi\) | |||||||
\(240\) | −10.0877 | + | 21.3339i | −0.651156 | + | 1.37709i | ||||
\(241\) | − | 13.3092i | − | 0.857322i | −0.903466 | − | 0.428661i | \(-0.858986\pi\) | ||
0.903466 | − | 0.428661i | \(-0.141014\pi\) | |||||||
\(242\) | 1.59936 | − | 9.31674i | 0.102811 | − | 0.598903i | ||||
\(243\) | 0.212173 | + | 15.5870i | 0.0136109 | + | 0.999907i | ||||
\(244\) | −0.115863 | − | 2.19722i | −0.00741738 | − | 0.140663i | ||||
\(245\) | −7.97681 | + | 19.2577i | −0.509620 | + | 1.23033i | ||||
\(246\) | 14.7027 | − | 7.30333i | 0.937407 | − | 0.465643i | ||||
\(247\) | −14.3100 | − | 14.3100i | −0.910521 | − | 0.910521i | ||||
\(248\) | −1.80172 | − | 6.37659i | −0.114409 | − | 0.404914i | ||||
\(249\) | 12.1875 | − | 20.0103i | 0.772353 | − | 1.26810i | ||||
\(250\) | −4.11671 | + | 6.52693i | −0.260364 | + | 0.412800i | ||||
\(251\) | 5.55430 | − | 13.4093i | 0.350584 | − | 0.846385i | −0.645964 | − | 0.763368i | \(-0.723544\pi\) |
0.996548 | − | 0.0830174i | \(-0.0264557\pi\) | |||||||
\(252\) | −5.57725 | + | 0.767008i | −0.351334 | + | 0.0483170i | ||||
\(253\) | 11.7304 | − | 4.85889i | 0.737483 | − | 0.305476i | ||||
\(254\) | 11.8843 | − | 8.40185i | 0.745685 | − | 0.527179i | ||||
\(255\) | 3.13375 | + | 12.8982i | 0.196243 | + | 0.807718i | ||||
\(256\) | 3.34680 | + | 15.6461i | 0.209175 | + | 0.977878i | ||||
\(257\) | 12.0491i | 0.751605i | 0.926700 | + | 0.375803i | \(0.122633\pi\) | ||||
−0.926700 | + | 0.375803i | \(0.877367\pi\) | |||||||
\(258\) | −4.59135 | − | 4.00314i | −0.285845 | − | 0.249225i | ||||
\(259\) | 0.304646 | + | 0.735480i | 0.0189298 | + | 0.0457005i | ||||
\(260\) | 38.8800 | + | 13.7540i | 2.41123 | + | 0.852986i | ||||
\(261\) | 4.27120 | − | 0.359559i | 0.264380 | − | 0.0222562i | ||||
\(262\) | 21.2292 | + | 13.3898i | 1.31154 | + | 0.827226i | ||||
\(263\) | −2.42769 | − | 2.42769i | −0.149698 | − | 0.149698i | 0.628285 | − | 0.777983i | \(-0.283757\pi\) |
−0.777983 | + | 0.628285i | \(0.783757\pi\) | |||||||
\(264\) | −5.00128 | − | 8.86364i | −0.307808 | − | 0.545519i | ||||
\(265\) | 21.9998 | − | 21.9998i | 1.35144 | − | 1.35144i | ||||
\(266\) | 4.32626 | − | 0.979668i | 0.265260 | − | 0.0600673i | ||||
\(267\) | 16.0532 | + | 2.49780i | 0.982439 | + | 0.152863i | ||||
\(268\) | −18.0604 | + | 0.952357i | −1.10322 | + | 0.0581745i | ||||
\(269\) | 11.0872 | − | 4.59246i | 0.675997 | − | 0.280007i | −0.0181552 | − | 0.999835i | \(-0.505779\pi\) |
0.694153 | + | 0.719828i | \(0.255779\pi\) | |||||||
\(270\) | 12.9764 | + | 21.4037i | 0.789720 | + | 1.30259i | ||||
\(271\) | 16.6609 | 1.01208 | 0.506038 | − | 0.862511i | \(-0.331109\pi\) | ||||
0.506038 | + | 0.862511i | \(0.331109\pi\) | |||||||
\(272\) | 6.99756 | + | 5.65904i | 0.424290 | + | 0.343129i | ||||
\(273\) | 2.32280 | + | 9.56043i | 0.140582 | + | 0.578624i | ||||
\(274\) | −2.85483 | + | 16.6302i | −0.172466 | + | 1.00467i | ||||
\(275\) | −5.24854 | − | 12.6711i | −0.316499 | − | 0.764097i | ||||
\(276\) | −10.0457 | + | 18.6370i | −0.604680 | + | 1.12181i | ||||
\(277\) | −26.2888 | − | 10.8892i | −1.57954 | − | 0.654267i | −0.591199 | − | 0.806526i | \(-0.701345\pi\) |
−0.988341 | + | 0.152259i | \(0.951345\pi\) | |||||||
\(278\) | −27.8984 | + | 6.31751i | −1.67324 | + | 0.378899i | ||||
\(279\) | −6.69594 | − | 2.13541i | −0.400875 | − | 0.127844i | ||||
\(280\) | −7.09622 | + | 5.59978i | −0.424080 | + | 0.334651i | ||||
\(281\) | 0.109141 | − | 0.109141i | 0.00651081 | − | 0.00651081i | −0.703844 | − | 0.710355i | \(-0.748535\pi\) |
0.710355 | + | 0.703844i | \(0.248535\pi\) | |||||||
\(282\) | −7.03055 | − | 2.36396i | −0.418663 | − | 0.140772i | ||||
\(283\) | 11.5159 | + | 4.77003i | 0.684547 | + | 0.283549i | 0.697726 | − | 0.716364i | \(-0.254195\pi\) |
−0.0131791 | + | 0.999913i | \(0.504195\pi\) | |||||||
\(284\) | 0.427310 | − | 0.203986i | 0.0253562 | − | 0.0121043i | ||||
\(285\) | −11.6356 | − | 15.9236i | −0.689231 | − | 0.943235i | ||||
\(286\) | −14.5230 | + | 10.2674i | −0.858764 | + | 0.607122i | ||||
\(287\) | 6.28849 | 0.371198 | ||||||||
\(288\) | 15.8014 | + | 6.18990i | 0.931108 | + | 0.364743i | ||||
\(289\) | −11.9381 | −0.702240 | ||||||||
\(290\) | 5.61985 | − | 3.97308i | 0.330009 | − | 0.233307i | ||||
\(291\) | −4.58609 | − | 6.27621i | −0.268841 | − | 0.367918i | ||||
\(292\) | 4.71462 | + | 9.87620i | 0.275902 | + | 0.577961i | ||||
\(293\) | −14.6551 | − | 6.07035i | −0.856161 | − | 0.354634i | −0.0889561 | − | 0.996036i | \(-0.528353\pi\) |
−0.767205 | + | 0.641402i | \(0.778353\pi\) | |||||||
\(294\) | 14.2082 | + | 4.77740i | 0.828642 | + | 0.278624i | ||||
\(295\) | −19.5840 | + | 19.5840i | −1.14023 | + | 1.14023i | ||||
\(296\) | 0.280904 | − | 2.38324i | 0.0163272 | − | 0.138523i | ||||
\(297\) | −10.7679 | − | 0.759024i | −0.624818 | − | 0.0440430i | ||||
\(298\) | −15.3843 | + | 3.48373i | −0.891190 | + | 0.201807i | ||||
\(299\) | 34.1838 | + | 14.1594i | 1.97690 | + | 0.818859i | ||||
\(300\) | 20.1316 | + | 10.8513i | 1.16230 | + | 0.626501i | ||||
\(301\) | −0.892937 | − | 2.15574i | −0.0514680 | − | 0.124255i | ||||
\(302\) | −4.11865 | + | 23.9923i | −0.237002 | + | 1.38060i | ||||
\(303\) | 5.58096 | + | 22.9707i | 0.320618 | + | 1.31963i | ||||
\(304\) | −12.8233 | − | 3.78942i | −0.735466 | − | 0.217338i | ||||
\(305\) | −3.74725 | −0.214567 | ||||||||
\(306\) | 9.10002 | − | 2.88166i | 0.520214 | − | 0.164734i | ||||
\(307\) | 17.9759 | − | 7.44586i | 1.02594 | − | 0.424958i | 0.194694 | − | 0.980864i | \(-0.437629\pi\) |
0.831245 | + | 0.555906i | \(0.187629\pi\) | |||||||
\(308\) | −0.205287 | − | 3.89305i | −0.0116973 | − | 0.221827i | ||||
\(309\) | −13.0020 | − | 2.02305i | −0.739659 | − | 0.115087i | ||||
\(310\) | −11.0064 | + | 2.49236i | −0.625121 | + | 0.141556i | ||||
\(311\) | 14.7567 | − | 14.7567i | 0.836776 | − | 0.836776i | −0.151657 | − | 0.988433i | \(-0.548461\pi\) |
0.988433 | + | 0.151657i | \(0.0484609\pi\) | |||||||
\(312\) | 7.95876 | − | 28.5700i | 0.450576 | − | 1.61746i | ||||
\(313\) | −3.76309 | − | 3.76309i | −0.212703 | − | 0.212703i | 0.592712 | − | 0.805415i | \(-0.298057\pi\) |
−0.805415 | + | 0.592712i | \(0.798057\pi\) | |||||||
\(314\) | −13.1371 | − | 8.28593i | −0.741370 | − | 0.467602i | ||||
\(315\) | 0.804289 | + | 9.55412i | 0.0453165 | + | 0.538314i | ||||
\(316\) | −1.63243 | + | 4.61457i | −0.0918313 | + | 0.259590i | ||||
\(317\) | −5.65481 | − | 13.6519i | −0.317606 | − | 0.766768i | −0.999380 | − | 0.0352055i | \(-0.988791\pi\) |
0.681774 | − | 0.731562i | \(-0.261209\pi\) | |||||||
\(318\) | −16.8641 | − | 14.7036i | −0.945693 | − | 0.824538i | ||||
\(319\) | 2.96816i | 0.166185i | ||||||||
\(320\) | 26.9097 | − | 4.28881i | 1.50430 | − | 0.239752i | ||||
\(321\) | 5.96812 | + | 24.5642i | 0.333108 | + | 1.37104i | ||||
\(322\) | −6.62224 | + | 4.68174i | −0.369043 | + | 0.260903i | ||||
\(323\) | −6.94852 | + | 2.87817i | −0.386626 | + | 0.160146i | ||||
\(324\) | 14.7190 | − | 10.3610i | 0.817724 | − | 0.575611i | ||||
\(325\) | 15.2949 | − | 36.9252i | 0.848409 | − | 2.04824i | ||||
\(326\) | 7.96350 | − | 12.6259i | 0.441058 | − | 0.699284i | ||||
\(327\) | −4.28975 | + | 7.04321i | −0.237224 | + | 0.389490i | ||||
\(328\) | −16.5438 | − | 9.25445i | −0.913479 | − | 0.510992i | ||||
\(329\) | −2.00907 | − | 2.00907i | −0.110764 | − | 0.110764i | ||||
\(330\) | −15.5231 | + | 7.71087i | −0.854518 | + | 0.424470i | ||||
\(331\) | 3.87845 | − | 9.36340i | 0.213179 | − | 0.514659i | −0.780730 | − | 0.624869i | \(-0.785152\pi\) |
0.993908 | + | 0.110210i | \(0.0351523\pi\) | |||||||
\(332\) | −27.0167 | + | 1.42463i | −1.48273 | + | 0.0781869i | ||||
\(333\) | −1.94443 | − | 1.64248i | −0.106554 | − | 0.0900073i | ||||
\(334\) | 4.35703 | − | 25.3810i | 0.238406 | − | 1.38879i | ||||
\(335\) | 30.8012i | 1.68285i | ||||||||
\(336\) | 4.36604 | + | 4.81626i | 0.238187 | + | 0.262748i | ||||
\(337\) | 18.4557i | 1.00535i | 0.864476 | + | 0.502674i | \(0.167650\pi\) | ||||
−0.864476 | + | 0.502674i | \(0.832350\pi\) | |||||||
\(338\) | −32.9632 | − | 5.65864i | −1.79296 | − | 0.307789i | ||||
\(339\) | −5.97969 | − | 8.18339i | −0.324772 | − | 0.444461i | ||||
\(340\) | 10.2520 | − | 11.3934i | 0.555992 | − | 0.617893i | ||||
\(341\) | 1.86247 | − | 4.49639i | 0.100858 | − | 0.243493i | ||||
\(342\) | −10.8532 | + | 9.12989i | −0.586872 | + | 0.493688i | ||||
\(343\) | 8.70449 | + | 8.70449i | 0.469998 | + | 0.469998i | ||||
\(344\) | −0.823349 | + | 6.98543i | −0.0443920 | + | 0.376629i | ||||
\(345\) | 30.7954 | + | 18.7563i | 1.65797 | + | 1.00981i | ||||
\(346\) | 12.8326 | + | 8.09389i | 0.689887 | + | 0.435130i | ||||
\(347\) | −2.01715 | + | 4.86983i | −0.108286 | + | 0.261426i | −0.968729 | − | 0.248121i | \(-0.920187\pi\) |
0.860443 | + | 0.509547i | \(0.170187\pi\) | |||||||
\(348\) | −3.12646 | − | 3.83690i | −0.167596 | − | 0.205680i | ||||
\(349\) | 19.0402 | − | 7.88672i | 1.01920 | − | 0.422166i | 0.190397 | − | 0.981707i | \(-0.439023\pi\) |
0.828803 | + | 0.559541i | \(0.189023\pi\) | |||||||
\(350\) | 5.05720 | + | 7.15332i | 0.270318 | + | 0.382361i | ||||
\(351\) | −20.6243 | − | 23.7524i | −1.10084 | − | 1.26781i | ||||
\(352\) | −5.18914 | + | 10.5440i | −0.276582 | + | 0.561996i | ||||
\(353\) | − | 13.3595i | − | 0.711053i | −0.934666 | − | 0.355527i | \(-0.884301\pi\) | ||
0.934666 | − | 0.355527i | \(-0.115699\pi\) | |||||||
\(354\) | 15.0123 | + | 13.0891i | 0.797895 | + | 0.695675i | ||||
\(355\) | −0.308601 | − | 0.745029i | −0.0163788 | − | 0.0395420i | ||||
\(356\) | −8.08171 | − | 16.9296i | −0.428330 | − | 0.897266i | ||||
\(357\) | 3.61294 | + | 0.562156i | 0.191217 | + | 0.0297524i | ||||
\(358\) | 18.7740 | − | 29.7656i | 0.992236 | − | 1.57316i | ||||
\(359\) | 0.514805 | + | 0.514805i | 0.0271704 | + | 0.0271704i | 0.720561 | − | 0.693391i | \(-0.243884\pi\) |
−0.693391 | + | 0.720561i | \(0.743884\pi\) | |||||||
\(360\) | 11.9444 | − | 26.3187i | 0.629525 | − | 1.38712i | ||||
\(361\) | −5.53327 | + | 5.53327i | −0.291225 | + | 0.291225i | ||||
\(362\) | 3.73931 | + | 16.5130i | 0.196534 | + | 0.867902i | ||||
\(363\) | −1.77999 | + | 11.4399i | −0.0934252 | + | 0.600438i | ||||
\(364\) | 7.59899 | − | 8.44502i | 0.398296 | − | 0.442639i | ||||
\(365\) | 17.2195 | − | 7.13254i | 0.901308 | − | 0.373334i | ||||
\(366\) | 0.184000 | + | 2.68849i | 0.00961786 | + | 0.140529i | ||||
\(367\) | −37.5921 | −1.96229 | −0.981145 | − | 0.193271i | \(-0.938090\pi\) | ||||
−0.981145 | + | 0.193271i | \(0.938090\pi\) | |||||||
\(368\) | 24.3117 | − | 2.57114i | 1.26734 | − | 0.134030i | ||||
\(369\) | −17.8648 | + | 9.22543i | −0.930005 | + | 0.480257i | ||||
\(370\) | −4.02803 | − | 0.691472i | −0.209407 | − | 0.0359479i | ||||
\(371\) | −3.27978 | − | 7.91809i | −0.170278 | − | 0.411087i | ||||
\(372\) | 2.32860 | + | 7.77421i | 0.120732 | + | 0.403074i | ||||
\(373\) | 22.6229 | + | 9.37070i | 1.17137 | + | 0.485196i | 0.881644 | − | 0.471914i | \(-0.156437\pi\) |
0.289723 | + | 0.957111i | \(0.406437\pi\) | |||||||
\(374\) | 1.45984 | + | 6.44673i | 0.0754865 | + | 0.333352i | ||||
\(375\) | 4.91620 | − | 8.07176i | 0.253872 | − | 0.416824i | ||||
\(376\) | 2.32883 | + | 8.24212i | 0.120100 | + | 0.425055i | ||||
\(377\) | −6.11619 | + | 6.11619i | −0.315000 | + | 0.315000i | ||||
\(378\) | 6.81517 | − | 1.04618i | 0.350534 | − | 0.0538095i | ||||
\(379\) | −14.1576 | − | 5.86429i | −0.727229 | − | 0.301228i | −0.0118165 | − | 0.999930i | \(-0.503761\pi\) |
−0.715413 | + | 0.698702i | \(0.753761\pi\) | |||||||
\(380\) | −7.59476 | + | 21.4690i | −0.389603 | + | 1.10134i | ||||
\(381\) | −14.3924 | + | 10.5167i | −0.737344 | + | 0.538784i | ||||
\(382\) | −0.109157 | − | 0.154400i | −0.00558493 | − | 0.00789979i | ||||
\(383\) | −16.0682 | −0.821048 | −0.410524 | − | 0.911850i | \(-0.634654\pi\) | ||||
−0.410524 | + | 0.911850i | \(0.634654\pi\) | |||||||
\(384\) | −4.39837 | − | 19.0959i | −0.224453 | − | 0.974485i | ||||
\(385\) | −6.63940 | −0.338375 | ||||||||
\(386\) | 6.11296 | + | 8.64667i | 0.311141 | + | 0.440104i | ||||
\(387\) | 5.69927 | + | 4.81422i | 0.289710 | + | 0.244721i | ||||
\(388\) | −2.99343 | + | 8.46188i | −0.151968 | + | 0.429587i | ||||
\(389\) | −31.0923 | − | 12.8788i | −1.57644 | − | 0.652983i | −0.588596 | − | 0.808427i | \(-0.700319\pi\) |
−0.987845 | + | 0.155444i | \(0.950319\pi\) | |||||||
\(390\) | −47.8758 | − | 16.0978i | −2.42429 | − | 0.815146i | ||||
\(391\) | 9.72329 | − | 9.72329i | 0.491728 | − | 0.491728i | ||||
\(392\) | −4.70640 | − | 16.6567i | −0.237709 | − | 0.841292i | ||||
\(393\) | −26.2538 | − | 15.9902i | −1.32433 | − | 0.806599i | ||||
\(394\) | 1.43186 | + | 6.32317i | 0.0721361 | + | 0.318557i | ||||
\(395\) | 7.70170 | + | 3.19015i | 0.387514 | + | 0.160514i | ||||
\(396\) | 6.29444 | + | 10.7585i | 0.316307 | + | 0.540635i | ||||
\(397\) | −8.21223 | − | 19.8261i | −0.412160 | − | 0.995042i | −0.984557 | − | 0.175065i | \(-0.943986\pi\) |
0.572397 | − | 0.819977i | \(-0.306014\pi\) | |||||||
\(398\) | 7.37377 | + | 1.26582i | 0.369614 | + | 0.0634498i | ||||
\(399\) | −5.27914 | + | 1.28262i | −0.264288 | + | 0.0642113i | ||||
\(400\) | −2.77734 | − | 26.2614i | −0.138867 | − | 1.31307i | ||||
\(401\) | 15.2053 | 0.759315 | 0.379657 | − | 0.925127i | \(-0.376042\pi\) | ||||
0.379657 | + | 0.925127i | \(0.376042\pi\) | |||||||
\(402\) | 22.0985 | − | 1.51242i | 1.10217 | − | 0.0754328i | ||||
\(403\) | 13.1030 | − | 5.42745i | 0.652709 | − | 0.270361i | ||||
\(404\) | 18.2580 | − | 20.2907i | 0.908369 | − | 1.00950i | ||||
\(405\) | −16.3011 | − | 25.9621i | −0.810009 | − | 1.29007i | ||||
\(406\) | −0.418717 | − | 1.84908i | −0.0207806 | − | 0.0917682i | ||||
\(407\) | 1.24632 | − | 1.24632i | 0.0617777 | − | 0.0617777i | ||||
\(408\) | −8.67765 | − | 6.79590i | −0.429608 | − | 0.336447i | ||||
\(409\) | 23.0147 | + | 23.0147i | 1.13800 | + | 1.13800i | 0.988808 | + | 0.149193i | \(0.0476677\pi\) |
0.149193 | + | 0.988808i | \(0.452332\pi\) | |||||||
\(410\) | −17.2229 | + | 27.3064i | −0.850579 | + | 1.34857i | ||||
\(411\) | 3.17725 | − | 20.4200i | 0.156722 | − | 1.00724i | ||||
\(412\) | 6.54565 | + | 13.7118i | 0.322481 | + | 0.675534i | ||||
\(413\) | 2.91963 | + | 7.04862i | 0.143666 | + | 0.346840i | ||||
\(414\) | 11.9447 | − | 23.0153i | 0.587049 | − | 1.13114i | ||||
\(415\) | 46.0756i | 2.26176i | ||||||||
\(416\) | −32.4196 | + | 11.0342i | −1.58950 | + | 0.540995i | ||||
\(417\) | 34.0432 | − | 8.27113i | 1.66710 | − | 0.405039i | ||||
\(418\) | −5.66950 | − | 8.01941i | −0.277304 | − | 0.392242i | ||||
\(419\) | −10.8187 | + | 4.48124i | −0.528527 | + | 0.218923i | −0.630958 | − | 0.775817i | \(-0.717338\pi\) |
0.102431 | + | 0.994740i | \(0.467338\pi\) | |||||||
\(420\) | 8.58266 | − | 6.99348i | 0.418791 | − | 0.341247i | ||||
\(421\) | −11.0208 | + | 26.6066i | −0.537121 | + | 1.29673i | 0.389603 | + | 0.920983i | \(0.372612\pi\) |
−0.926724 | + | 0.375742i | \(0.877388\pi\) | |||||||
\(422\) | 0.730695 | + | 0.460869i | 0.0355697 | + | 0.0224348i | ||||
\(423\) | 8.65489 | + | 2.76014i | 0.420815 | + | 0.134203i | ||||
\(424\) | −3.02418 | + | 25.6576i | −0.146867 | + | 1.24605i | ||||
\(425\) | −10.5031 | − | 10.5031i | −0.509473 | − | 0.509473i | ||||
\(426\) | −0.519372 | + | 0.257991i | −0.0251637 | + | 0.0124997i | ||||
\(427\) | −0.395024 | + | 0.953673i | −0.0191166 | + | 0.0461515i | ||||
\(428\) | 19.5246 | − | 21.6983i | 0.943756 | − | 1.04883i | ||||
\(429\) | 17.5880 | − | 12.8517i | 0.849157 | − | 0.620488i | ||||
\(430\) | 11.8064 | + | 2.02675i | 0.569356 | + | 0.0977386i | ||||
\(431\) | 0.278342i | 0.0134073i | 0.999978 | + | 0.00670363i | \(0.00213385\pi\) | ||||
−0.999978 | + | 0.00670363i | \(0.997866\pi\) | |||||||
\(432\) | −19.4690 | − | 7.27725i | −0.936702 | − | 0.350127i | ||||
\(433\) | 11.0862i | 0.532769i | 0.963867 | + | 0.266385i | \(0.0858292\pi\) | ||||
−0.963867 | + | 0.266385i | \(0.914171\pi\) | |||||||
\(434\) | −0.525957 | + | 3.06385i | −0.0252468 | + | 0.147070i | ||||
\(435\) | −6.80588 | + | 4.97313i | −0.326317 | + | 0.238443i | ||||
\(436\) | 9.50930 | − | 0.501441i | 0.455413 | − | 0.0240147i | ||||
\(437\) | −7.81862 | + | 18.8758i | −0.374015 | + | 0.902953i | ||||
\(438\) | −5.96280 | − | 12.0040i | −0.284914 | − | 0.573572i | ||||
\(439\) | 18.4802 | + | 18.4802i | 0.882011 | + | 0.882011i | 0.993739 | − | 0.111728i | \(-0.0356386\pi\) |
−0.111728 | + | 0.993739i | \(0.535639\pi\) | |||||||
\(440\) | 17.4670 | + | 9.77087i | 0.832706 | + | 0.465808i | ||||
\(441\) | −17.4909 | − | 5.57805i | −0.832901 | − | 0.265621i | ||||
\(442\) | −10.2760 | + | 16.2922i | −0.488778 | + | 0.774943i | ||||
\(443\) | −15.7855 | + | 38.1095i | −0.749991 | + | 1.81064i | −0.190740 | + | 0.981641i | \(0.561089\pi\) |
−0.559251 | + | 0.828998i | \(0.688911\pi\) | |||||||
\(444\) | −0.298313 | + | 2.92388i | −0.0141573 | + | 0.138761i | ||||
\(445\) | −29.5173 | + | 12.2265i | −1.39925 | + | 0.579590i | ||||
\(446\) | 12.3430 | − | 8.72618i | 0.584460 | − | 0.413197i | ||||
\(447\) | 18.7728 | − | 4.56103i | 0.887923 | − | 0.215730i | ||||
\(448\) | 1.74524 | − | 7.30062i | 0.0824550 | − | 0.344922i | ||||
\(449\) | 23.9532i | 1.13042i | 0.824946 | + | 0.565211i | \(0.191205\pi\) | ||||
−0.824946 | + | 0.565211i | \(0.808795\pi\) | |||||||
\(450\) | −24.8610 | − | 12.9026i | −1.17196 | − | 0.608234i | ||||
\(451\) | −5.32813 | − | 12.8632i | −0.250892 | − | 0.605706i | ||||
\(452\) | −3.90306 | + | 11.0332i | −0.183585 | + | 0.518959i | ||||
\(453\) | 4.58380 | − | 29.4598i | 0.215366 | − | 1.38414i | ||||
\(454\) | −2.28814 | − | 1.44319i | −0.107388 | − | 0.0677323i | ||||
\(455\) | −13.6811 | − | 13.6811i | −0.641381 | − | 0.641381i | ||||
\(456\) | 15.7760 | + | 4.39472i | 0.738777 | + | 0.205802i | ||||
\(457\) | −3.61836 | + | 3.61836i | −0.169260 | + | 0.169260i | −0.786654 | − | 0.617394i | \(-0.788188\pi\) |
0.617394 | + | 0.786654i | \(0.288188\pi\) | |||||||
\(458\) | −17.4146 | + | 3.94348i | −0.813731 | + | 0.184267i | ||||
\(459\) | −11.0886 | + | 3.70329i | −0.517572 | + | 0.172855i | ||||
\(460\) | −2.19248 | − | 41.5780i | −0.102225 | − | 1.93859i | ||||
\(461\) | 11.0476 | − | 4.57608i | 0.514539 | − | 0.213129i | −0.110277 | − | 0.993901i | \(-0.535174\pi\) |
0.624816 | + | 0.780772i | \(0.285174\pi\) | |||||||
\(462\) | 0.326013 | + | 4.76348i | 0.0151675 | + | 0.221617i | ||||
\(463\) | −27.8395 | −1.29381 | −0.646906 | − | 0.762569i | \(-0.723938\pi\) | ||||
−0.646906 | + | 0.762569i | \(0.723938\pi\) | |||||||
\(464\) | −1.61963 | + | 5.48077i | −0.0751894 | + | 0.254438i | ||||
\(465\) | 13.4306 | − | 3.26309i | 0.622829 | − | 0.151322i | ||||
\(466\) | 2.36435 | − | 13.7730i | 0.109526 | − | 0.638024i | ||||
\(467\) | 15.3748 | + | 37.1181i | 0.711462 | + | 1.71762i | 0.696315 | + | 0.717736i | \(0.254822\pi\) |
0.0151469 | + | 0.999885i | \(0.495178\pi\) | |||||||
\(468\) | −9.19865 | + | 35.1392i | −0.425208 | + | 1.62431i | ||||
\(469\) | 7.83888 | + | 3.24697i | 0.361966 | + | 0.149931i | ||||
\(470\) | 14.2264 | − | 3.22152i | 0.656214 | − | 0.148598i | ||||
\(471\) | 16.2465 | + | 9.89510i | 0.748597 | + | 0.455942i | ||||
\(472\) | 2.69210 | − | 22.8402i | 0.123914 | − | 1.05131i | ||||
\(473\) | −3.65304 | + | 3.65304i | −0.167967 | + | 0.167967i | ||||
\(474\) | 1.91061 | − | 5.68227i | 0.0877574 | − | 0.260995i | ||||
\(475\) | 20.3896 | + | 8.44564i | 0.935538 | + | 0.387512i | ||||
\(476\) | −1.81887 | − | 3.81018i | −0.0833680 | − | 0.174639i | ||||
\(477\) | 20.9336 | + | 17.6827i | 0.958482 | + | 0.809637i | ||||
\(478\) | 7.63270 | − | 5.39611i | 0.349112 | − | 0.246812i | ||||
\(479\) | 23.6720 | 1.08160 | 0.540800 | − | 0.841151i | \(-0.318122\pi\) | ||||
0.540800 | + | 0.841151i | \(0.318122\pi\) | |||||||
\(480\) | −32.8713 | + | 5.76784i | −1.50036 | + | 0.263265i | ||||
\(481\) | 5.13632 | 0.234196 | ||||||||
\(482\) | 15.3691 | − | 10.8655i | 0.700044 | − | 0.494912i | ||||
\(483\) | 8.01983 | − | 5.86017i | 0.364915 | − | 0.266647i | ||||
\(484\) | 12.0644 | − | 5.75922i | 0.548383 | − | 0.261783i | ||||
\(485\) | 14.1228 | + | 5.84987i | 0.641284 | + | 0.265629i | ||||
\(486\) | −17.8263 | + | 12.9701i | −0.808615 | + | 0.588338i | ||||
\(487\) | −1.06704 | + | 1.06704i | −0.0483522 | + | 0.0483522i | −0.730869 | − | 0.682517i | \(-0.760885\pi\) |
0.682517 | + | 0.730869i | \(0.260885\pi\) | |||||||
\(488\) | 2.44271 | − | 1.92759i | 0.110576 | − | 0.0872580i | ||||
\(489\) | −9.51006 | + | 15.6143i | −0.430060 | + | 0.706101i | ||||
\(490\) | −28.7505 | + | 6.51046i | −1.29882 | + | 0.294113i | ||||
\(491\) | −24.4454 | − | 10.1256i | −1.10321 | − | 0.456964i | −0.244614 | − | 0.969621i | \(-0.578661\pi\) |
−0.858594 | + | 0.512657i | \(0.828661\pi\) | |||||||
\(492\) | 20.4368 | + | 11.0159i | 0.921364 | + | 0.496633i | ||||
\(493\) | 1.23015 | + | 2.96985i | 0.0554033 | + | 0.133755i | ||||
\(494\) | 4.84221 | − | 28.2073i | 0.217862 | − | 1.26911i | ||||
\(495\) | 18.8617 | − | 9.74023i | 0.847771 | − | 0.437791i | ||||
\(496\) | 5.89261 | − | 7.28639i | 0.264586 | − | 0.327168i | ||||
\(497\) | −0.222141 | −0.00996439 | ||||||||
\(498\) | 33.0572 | − | 2.26244i | 1.48133 | − | 0.101382i | ||||
\(499\) | 23.7276 | − | 9.82828i | 1.06219 | − | 0.439974i | 0.217963 | − | 0.975957i | \(-0.430059\pi\) |
0.844229 | + | 0.535983i | \(0.180059\pi\) | |||||||
\(500\) | −10.8980 | + | 0.574669i | −0.487373 | + | 0.0257000i | ||||
\(501\) | −4.84911 | + | 31.1650i | −0.216642 | + | 1.39235i | ||||
\(502\) | 20.0192 | − | 4.53327i | 0.893499 | − | 0.202330i | ||||
\(503\) | 8.35178 | − | 8.35178i | 0.372387 | − | 0.372387i | −0.495959 | − | 0.868346i | \(-0.665183\pi\) |
0.868346 | + | 0.495959i | \(0.165183\pi\) | |||||||
\(504\) | −5.43895 | − | 5.81428i | −0.242270 | − | 0.258989i | ||||
\(505\) | −32.8714 | − | 32.8714i | −1.46276 | − | 1.46276i | ||||
\(506\) | 15.1875 | + | 9.57918i | 0.675168 | + | 0.425847i | ||||
\(507\) | 40.4751 | + | 6.29772i | 1.79756 | + | 0.279692i | ||||
\(508\) | 19.4045 | + | 6.86443i | 0.860934 | + | 0.304560i | ||||
\(509\) | 2.98703 | + | 7.21134i | 0.132398 | + | 0.319637i | 0.976150 | − | 0.217096i | \(-0.0696584\pi\) |
−0.843752 | + | 0.536733i | \(0.819658\pi\) | |||||||
\(510\) | −12.3362 | + | 14.1488i | −0.546254 | + | 0.626519i | ||||
\(511\) | − | 5.13423i | − | 0.227125i | ||||||
\(512\) | −15.3353 | + | 16.6381i | −0.677733 | + | 0.735308i | ||||
\(513\) | 13.1157 | − | 11.3884i | 0.579074 | − | 0.502812i | ||||
\(514\) | −13.9140 | + | 9.83684i | −0.613722 | + | 0.433884i | ||||
\(515\) | 23.9070 | − | 9.90262i | 1.05347 | − | 0.436361i | ||||
\(516\) | 0.874376 | − | 8.57010i | 0.0384923 | − | 0.377278i | ||||
\(517\) | −2.40734 | + | 5.81184i | −0.105875 | + | 0.255605i | ||||
\(518\) | −0.600602 | + | 0.952237i | −0.0263889 | + | 0.0418389i | ||||
\(519\) | −15.8699 | − | 9.66577i | −0.696612 | − | 0.424280i | ||||
\(520\) | 15.8586 | + | 56.1262i | 0.695445 | + | 2.46130i | ||||
\(521\) | 5.48494 | + | 5.48494i | 0.240299 | + | 0.240299i | 0.816974 | − | 0.576675i | \(-0.195650\pi\) |
−0.576675 | + | 0.816974i | \(0.695650\pi\) | |||||||
\(522\) | 3.90219 | + | 4.63872i | 0.170794 | + | 0.203031i | ||||
\(523\) | 6.43166 | − | 15.5274i | 0.281237 | − | 0.678966i | −0.718628 | − | 0.695394i | \(-0.755230\pi\) |
0.999865 | + | 0.0164288i | \(0.00522969\pi\) | |||||||
\(524\) | 1.86914 | + | 35.4463i | 0.0816537 | + | 1.54848i | ||||
\(525\) | −6.33013 | − | 8.66298i | −0.276269 | − | 0.378083i | ||||
\(526\) | 0.821485 | − | 4.78539i | 0.0358185 | − | 0.208653i | ||||
\(527\) | − | 5.27084i | − | 0.229601i | ||||||
\(528\) | 6.15249 | − | 13.0116i | 0.267753 | − | 0.566256i | ||||
\(529\) | − | 14.3544i | − | 0.624106i | ||||||
\(530\) | 43.3653 | + | 7.44431i | 1.88367 | + | 0.323360i | ||||
\(531\) | −18.6349 | − | 15.7410i | −0.808685 | − | 0.683103i | ||||
\(532\) | 4.66322 | + | 4.19606i | 0.202176 | + | 0.181922i | ||||
\(533\) | 15.5268 | − | 37.4851i | 0.672542 | − | 1.62366i | ||||
\(534\) | 10.2213 | + | 20.5770i | 0.442320 | + | 0.890453i | ||||
\(535\) | −35.1518 | − | 35.1518i | −1.51974 | − | 1.51974i | ||||
\(536\) | −15.8442 | − | 20.0782i | −0.684364 | − | 0.867248i | ||||
\(537\) | −22.4200 | + | 36.8107i | −0.967495 | + | 1.58850i | ||||
\(538\) | 14.3548 | + | 9.05393i | 0.618877 | + | 0.390343i | ||||
\(539\) | 4.86507 | − | 11.7453i | 0.209554 | − | 0.505907i | ||||
\(540\) | −14.1226 | + | 32.4587i | −0.607739 | + | 1.39680i | ||||
\(541\) | −3.57097 | + | 1.47914i | −0.153528 | + | 0.0635934i | −0.458124 | − | 0.888888i | \(-0.651478\pi\) |
0.304596 | + | 0.952482i | \(0.401478\pi\) | |||||||
\(542\) | 13.6018 | + | 19.2396i | 0.584249 | + | 0.826409i | ||||
\(543\) | −4.89565 | − | 20.1500i | −0.210092 | − | 0.864720i | ||||
\(544\) | −0.822143 | + | 12.7006i | −0.0352491 | + | 0.544534i | ||||
\(545\) | − | 16.2176i | − | 0.694687i | ||||||
\(546\) | −9.14382 | + | 10.4874i | −0.391319 | + | 0.448819i | ||||
\(547\) | 1.97916 | + | 4.77812i | 0.0846228 | + | 0.204298i | 0.960527 | − | 0.278188i | \(-0.0897339\pi\) |
−0.875904 | + | 0.482486i | \(0.839734\pi\) | |||||||
\(548\) | −21.5348 | + | 10.2801i | −0.919921 | + | 0.439144i | ||||
\(549\) | −0.276857 | − | 3.28878i | −0.0118160 | − | 0.140362i | ||||
\(550\) | 10.3474 | − | 16.4055i | 0.441214 | − | 0.699532i | ||||
\(551\) | −3.37727 | − | 3.37727i | −0.143877 | − | 0.143877i | ||||
\(552\) | −29.7227 | + | 3.61460i | −1.26508 | + | 0.153848i | ||||
\(553\) | 1.62378 | − | 1.62378i | 0.0690502 | − | 0.0690502i | ||||
\(554\) | −8.88745 | − | 39.2474i | −0.377592 | − | 1.66746i | ||||
\(555\) | 4.94596 | + | 0.769566i | 0.209944 | + | 0.0326663i | ||||
\(556\) | −30.0714 | − | 27.0588i | −1.27531 | − | 1.14755i | ||||
\(557\) | −30.8826 | + | 12.7920i | −1.30854 | + | 0.542014i | −0.924457 | − | 0.381286i | \(-0.875481\pi\) |
−0.384080 | + | 0.923300i | \(0.625481\pi\) | |||||||
\(558\) | −3.00060 | − | 9.47563i | −0.127026 | − | 0.401135i | ||||
\(559\) | −15.0549 | −0.636755 | ||||||||
\(560\) | −12.2598 | − | 3.62290i | −0.518071 | − | 0.153096i | ||||
\(561\) | −1.91128 | − | 7.86665i | −0.0806943 | − | 0.332130i | ||||
\(562\) | 0.215135 | + | 0.0369312i | 0.00907493 | + | 0.00155785i | ||||
\(563\) | −6.06412 | − | 14.6401i | −0.255572 | − | 0.617005i | 0.743064 | − | 0.669221i | \(-0.233372\pi\) |
−0.998636 | + | 0.0522151i | \(0.983372\pi\) | |||||||
\(564\) | −3.00985 | − | 10.0486i | −0.126738 | − | 0.423123i | ||||
\(565\) | 18.4144 | + | 7.62750i | 0.774700 | + | 0.320891i | ||||
\(566\) | 3.89317 | + | 17.1924i | 0.163642 | + | 0.722652i | ||||
\(567\) | −8.32577 | + | 1.41177i | −0.349649 | + | 0.0592888i | ||||
\(568\) | 0.584411 | + | 0.326914i | 0.0245213 | + | 0.0137170i | ||||
\(569\) | 24.5419 | − | 24.5419i | 1.02885 | − | 1.02885i | 0.0292808 | − | 0.999571i | \(-0.490678\pi\) |
0.999571 | − | 0.0292808i | \(-0.00932170\pi\) | |||||||
\(570\) | 8.88900 | − | 26.4364i | 0.372319 | − | 1.10730i | ||||
\(571\) | −37.5798 | − | 15.5661i | −1.57266 | − | 0.651419i | −0.585435 | − | 0.810720i | \(-0.699076\pi\) |
−0.987230 | + | 0.159301i | \(0.949076\pi\) | |||||||
\(572\) | −23.7130 | − | 8.38859i | −0.991489 | − | 0.350744i | ||||
\(573\) | 0.136632 | + | 0.186985i | 0.00570788 | + | 0.00781142i | ||||
\(574\) | 5.13388 | + | 7.26178i | 0.214284 | + | 0.303101i | ||||
\(575\) | −40.3501 | −1.68271 | ||||||||
\(576\) | 5.75224 | + | 23.3005i | 0.239677 | + | 0.970853i | ||||
\(577\) | −37.6825 | −1.56874 | −0.784371 | − | 0.620292i | \(-0.787014\pi\) | ||||
−0.784371 | + | 0.620292i | \(0.787014\pi\) | |||||||
\(578\) | −9.74617 | − | 13.7858i | −0.405387 | − | 0.573413i | ||||
\(579\) | −7.65163 | − | 10.4715i | −0.317991 | − | 0.435181i | ||||
\(580\) | 9.17601 | + | 3.24606i | 0.381013 | + | 0.134785i | ||||
\(581\) | 11.7262 | + | 4.85715i | 0.486485 | + | 0.201509i | ||||
\(582\) | 3.50355 | − | 10.4197i | 0.145227 | − | 0.431912i | ||||
\(583\) | −13.4177 | + | 13.4177i | −0.555705 | + | 0.555705i | ||||
\(584\) | −7.55579 | + | 13.5072i | −0.312661 | + | 0.558931i | ||||
\(585\) | 58.9371 | + | 18.7957i | 2.43675 | + | 0.777105i | ||||
\(586\) | −4.95446 | − | 21.8791i | −0.204667 | − | 0.903819i | ||||
\(587\) | −16.1148 | − | 6.67499i | −0.665131 | − | 0.275506i | 0.0244651 | − | 0.999701i | \(-0.492212\pi\) |
−0.689596 | + | 0.724195i | \(0.742212\pi\) | |||||||
\(588\) | 6.08270 | + | 20.3075i | 0.250846 | + | 0.837469i | ||||
\(589\) | 2.99697 | + | 7.23532i | 0.123488 | + | 0.298126i | ||||
\(590\) | −38.6034 | − | 6.62686i | −1.58928 | − | 0.272824i | ||||
\(591\) | −1.87465 | − | 7.71588i | −0.0771127 | − | 0.317389i | ||||
\(592\) | 2.98143 | − | 1.62128i | 0.122536 | − | 0.0666341i | ||||
\(593\) | 35.2533 | 1.44768 | 0.723839 | − | 0.689969i | \(-0.242376\pi\) | ||||
0.723839 | + | 0.689969i | \(0.242376\pi\) | |||||||
\(594\) | −7.91435 | − | 13.0542i | −0.324730 | − | 0.535619i | ||||
\(595\) | −6.64317 | + | 2.75169i | −0.272344 | + | 0.112808i | ||||
\(596\) | −16.5826 | − | 14.9213i | −0.679249 | − | 0.611201i | ||||
\(597\) | −9.05415 | − | 1.40878i | −0.370562 | − | 0.0576576i | ||||
\(598\) | 11.5565 | + | 51.0342i | 0.472581 | + | 2.08694i | ||||
\(599\) | −12.1323 | + | 12.1323i | −0.495712 | + | 0.495712i | −0.910100 | − | 0.414388i | \(-0.863996\pi\) |
0.414388 | + | 0.910100i | \(0.363996\pi\) | |||||||
\(600\) | 3.90448 | + | 32.1064i | 0.159400 | + | 1.31074i | ||||
\(601\) | 0.0132863 | + | 0.0132863i | 0.000541959 | + | 0.000541959i | 0.707378 | − | 0.706836i | \(-0.249878\pi\) |
−0.706836 | + | 0.707378i | \(0.749878\pi\) | |||||||
\(602\) | 1.76041 | − | 2.79107i | 0.0717488 | − | 0.113756i | ||||
\(603\) | −27.0327 | + | 2.27568i | −1.10086 | + | 0.0926727i | ||||
\(604\) | −31.0682 | + | 14.8311i | −1.26415 | + | 0.603468i | ||||
\(605\) | −8.71287 | − | 21.0347i | −0.354228 | − | 0.855183i | ||||
\(606\) | −21.9697 | + | 25.1979i | −0.892459 | + | 1.02359i | ||||
\(607\) | − | 5.69469i | − | 0.231140i | −0.993299 | − | 0.115570i | \(-0.963130\pi\) | ||
0.993299 | − | 0.115570i | \(-0.0368695\pi\) | |||||||
\(608\) | −6.09292 | − | 17.9017i | −0.247100 | − | 0.726008i | ||||
\(609\) | 0.548201 | + | 2.25635i | 0.0222142 | + | 0.0914317i | ||||
\(610\) | −3.05923 | − | 4.32723i | −0.123865 | − | 0.175204i | ||||
\(611\) | −16.9364 | + | 7.01530i | −0.685175 | + | 0.283809i | ||||
\(612\) | 10.7569 | + | 8.15590i | 0.434821 | + | 0.329683i | ||||
\(613\) | −12.0221 | + | 29.0239i | −0.485567 | + | 1.17226i | 0.471362 | + | 0.881940i | \(0.343763\pi\) |
−0.956929 | + | 0.290322i | \(0.906237\pi\) | |||||||
\(614\) | 23.2737 | + | 14.6793i | 0.939249 | + | 0.592410i | ||||
\(615\) | 20.5677 | − | 33.7694i | 0.829369 | − | 1.36171i | ||||
\(616\) | 4.32800 | − | 3.41532i | 0.174380 | − | 0.137607i | ||||
\(617\) | 12.5126 | + | 12.5126i | 0.503739 | + | 0.503739i | 0.912598 | − | 0.408859i | \(-0.134073\pi\) |
−0.408859 | + | 0.912598i | \(0.634073\pi\) | |||||||
\(618\) | −8.27859 | − | 16.6660i | −0.333014 | − | 0.670404i | ||||
\(619\) | 9.64869 | − | 23.2940i | 0.387814 | − | 0.936265i | −0.602589 | − | 0.798052i | \(-0.705864\pi\) |
0.990402 | − | 0.138213i | \(-0.0441359\pi\) | |||||||
\(620\) | −11.8636 | − | 10.6751i | −0.476455 | − | 0.428724i | ||||
\(621\) | −14.1863 | + | 28.4134i | −0.569275 | + | 1.14019i | ||||
\(622\) | 29.0879 | + | 4.99339i | 1.16632 | + | 0.200217i | ||||
\(623\) | 8.80100i | 0.352605i | ||||||||
\(624\) | 39.4894 | − | 14.1338i | 1.58084 | − | 0.565804i | ||||
\(625\) | − | 14.4239i | − | 0.576955i | ||||||
\(626\) | 1.27336 | − | 7.41768i | 0.0508936 | − | 0.296470i | ||||
\(627\) | 7.09655 | + | 9.71186i | 0.283409 | + | 0.387854i | ||||
\(628\) | −1.15667 | − | 21.9350i | −0.0461560 | − | 0.875300i | ||||
\(629\) | 0.730492 | − | 1.76356i | 0.0291266 | − | 0.0703178i | ||||
\(630\) | −10.3762 | + | 8.72869i | −0.413399 | + | 0.347759i | ||||
\(631\) | 14.0643 | + | 14.0643i | 0.559893 | + | 0.559893i | 0.929277 | − | 0.369384i | \(-0.120431\pi\) |
−0.369384 | + | 0.929277i | \(0.620431\pi\) | |||||||
\(632\) | −6.66149 | + | 1.88222i | −0.264980 | + | 0.0748706i | ||||
\(633\) | −0.903639 | − | 0.550373i | −0.0359164 | − | 0.0218753i | ||||
\(634\) | 11.1483 | − | 17.6754i | 0.442757 | − | 0.701978i | ||||
\(635\) | 13.4147 | − | 32.3860i | 0.532346 | − | 1.28520i | ||||
\(636\) | 3.21160 | − | 31.4782i | 0.127348 | − | 1.24819i | ||||
\(637\) | 34.2273 | − | 14.1774i | 1.35614 | − | 0.561730i | ||||
\(638\) | −3.42756 | + | 2.42319i | −0.135698 | + | 0.0959349i | ||||
\(639\) | 0.631075 | − | 0.325889i | 0.0249649 | − | 0.0128920i | ||||
\(640\) | 26.9215 | + | 27.5733i | 1.06417 | + | 1.08993i | ||||
\(641\) | − | 2.18451i | − | 0.0862828i | −0.999069 | − | 0.0431414i | \(-0.986263\pi\) | ||
0.999069 | − | 0.0431414i | \(-0.0137366\pi\) | |||||||
\(642\) | −23.4938 | + | 26.9459i | −0.927226 | + | 1.06347i | ||||
\(643\) | 10.9947 | + | 26.5434i | 0.433587 | + | 1.04677i | 0.978122 | + | 0.208033i | \(0.0667062\pi\) |
−0.544535 | + | 0.838738i | \(0.683294\pi\) | |||||||
\(644\) | −10.8127 | − | 3.82505i | −0.426080 | − | 0.150728i | ||||
\(645\) | −14.4969 | − | 2.25565i | −0.570816 | − | 0.0888162i | ||||
\(646\) | −8.99636 | − | 5.67425i | −0.353957 | − | 0.223250i | ||||
\(647\) | 18.0436 | + | 18.0436i | 0.709366 | + | 0.709366i | 0.966402 | − | 0.257036i | \(-0.0827458\pi\) |
−0.257036 | + | 0.966402i | \(0.582746\pi\) | |||||||
\(648\) | 23.9811 | + | 8.53851i | 0.942067 | + | 0.335424i | ||||
\(649\) | 11.9443 | − | 11.9443i | 0.468857 | − | 0.468857i | ||||
\(650\) | 55.1269 | − | 12.4833i | 2.16225 | − | 0.489635i | ||||
\(651\) | 0.585358 | − | 3.76206i | 0.0229420 | − | 0.147447i | ||||
\(652\) | 21.0814 | − | 1.11166i | 0.825612 | − | 0.0435359i | ||||
\(653\) | 9.04305 | − | 3.74575i | 0.353882 | − | 0.146583i | −0.198659 | − | 0.980069i | \(-0.563658\pi\) |
0.552540 | + | 0.833486i | \(0.313658\pi\) | |||||||
\(654\) | −11.6354 | + | 0.796331i | −0.454981 | + | 0.0311390i | ||||
\(655\) | 60.4518 | 2.36205 | ||||||||
\(656\) | −2.81945 | − | 26.6596i | −0.110081 | − | 1.04088i | ||||
\(657\) | 7.53210 | + | 14.5857i | 0.293855 | + | 0.569043i | ||||
\(658\) | 0.679830 | − | 3.96021i | 0.0265025 | − | 0.154385i | ||||
\(659\) | −6.74648 | − | 16.2874i | −0.262805 | − | 0.634468i | 0.736305 | − | 0.676650i | \(-0.236569\pi\) |
−0.999110 | + | 0.0421820i | \(0.986569\pi\) | |||||||
\(660\) | −21.5773 | − | 11.6306i | −0.839894 | − | 0.452719i | ||||
\(661\) | −20.2135 | − | 8.37271i | −0.786215 | − | 0.325661i | −0.0467942 | − | 0.998905i | \(-0.514900\pi\) |
−0.739421 | + | 0.673244i | \(0.764900\pi\) | |||||||
\(662\) | 13.9789 | − | 3.16549i | 0.543307 | − | 0.123030i | ||||
\(663\) | 12.2716 | − | 20.1484i | 0.476590 | − | 0.782498i | ||||
\(664\) | −23.7014 | − | 30.0351i | −0.919791 | − | 1.16559i | ||||
\(665\) | 7.55453 | − | 7.55453i | 0.292952 | − | 0.292952i | ||||
\(666\) | 0.309270 | − | 3.58629i | 0.0119840 | − | 0.138966i | ||||
\(667\) | 8.06767 | + | 3.34174i | 0.312381 | + | 0.129393i | ||||
\(668\) | 32.8664 | − | 15.6895i | 1.27164 | − | 0.607044i | ||||
\(669\) | −14.9480 | + | 10.9226i | −0.577921 | + | 0.422293i | ||||
\(670\) | −35.5684 | + | 25.1459i | −1.37413 | + | 0.971470i | ||||
\(671\) | 2.28546 | 0.0882291 | ||||||||
\(672\) | −1.99728 | + | 8.97375i | −0.0770468 | + | 0.346170i | ||||
\(673\) | −12.4887 | −0.481404 | −0.240702 | − | 0.970599i | \(-0.577378\pi\) | ||||
−0.240702 | + | 0.970599i | \(0.577378\pi\) | |||||||
\(674\) | −21.3122 | + | 15.0671i | −0.820915 | + | 0.580364i | ||||
\(675\) | 30.6920 | + | 15.3239i | 1.18134 | + | 0.589818i | ||||
\(676\) | −20.3765 | − | 42.6848i | −0.783712 | − | 1.64172i | ||||
\(677\) | 40.9040 | + | 16.9430i | 1.57207 | + | 0.651173i | 0.987132 | − | 0.159906i | \(-0.0511190\pi\) |
0.584937 | + | 0.811078i | \(0.301119\pi\) | |||||||
\(678\) | 4.56819 | − | 13.5860i | 0.175440 | − | 0.521769i | ||||
\(679\) | 2.97757 | − | 2.97757i | 0.114269 | − | 0.114269i | ||||
\(680\) | 21.5264 | + | 2.53725i | 0.825501 | + | 0.0972990i | ||||
\(681\) | 2.82970 | + | 1.72347i | 0.108434 | + | 0.0660433i | ||||
\(682\) | 6.71282 | − | 1.52009i | 0.257047 | − | 0.0582074i | ||||
\(683\) | −8.56803 | − | 3.54899i | −0.327846 | − | 0.135798i | 0.212688 | − | 0.977120i | \(-0.431778\pi\) |
−0.540535 | + | 0.841322i | \(0.681778\pi\) | |||||||
\(684\) | −19.4034 | − | 5.07937i | −0.741908 | − | 0.194214i | ||||
\(685\) | 15.5523 | + | 37.5466i | 0.594223 | + | 1.43458i | ||||
\(686\) | −2.94543 | + | 17.1580i | −0.112457 | + | 0.655095i | ||||
\(687\) | 21.2502 | − | 5.16296i | 0.810748 | − | 0.196979i | ||||
\(688\) | −8.73877 | + | 4.75207i | −0.333162 | + | 0.181171i | ||||
\(689\) | −55.2970 | −2.10665 | ||||||||
\(690\) | 3.48184 | + | 50.8742i | 0.132551 | + | 1.93675i | ||||
\(691\) | −32.2776 | + | 13.3698i | −1.22790 | + | 0.508611i | −0.899912 | − | 0.436072i | \(-0.856369\pi\) |
−0.327984 | + | 0.944683i | \(0.606369\pi\) | |||||||
\(692\) | 1.12986 | + | 21.4266i | 0.0429508 | + | 0.814517i | ||||
\(693\) | −0.490537 | − | 5.82708i | −0.0186340 | − | 0.221352i | ||||
\(694\) | −7.27033 | + | 1.64634i | −0.275978 | + | 0.0624943i | ||||
\(695\) | −48.7163 | + | 48.7163i | −1.84792 | + | 1.84792i | ||||
\(696\) | 1.87834 | − | 6.74277i | 0.0711982 | − | 0.255584i | ||||
\(697\) | −10.6623 | − | 10.6623i | −0.403864 | − | 0.403864i | ||||
\(698\) | 24.6517 | + | 15.5485i | 0.933080 | + | 0.588519i | ||||
\(699\) | −2.63138 | + | 16.9117i | −0.0995279 | + | 0.639660i | ||||
\(700\) | −4.13180 | + | 11.6798i | −0.156167 | + | 0.441456i | ||||
\(701\) | 7.31376 | + | 17.6570i | 0.276237 | + | 0.666895i | 0.999725 | − | 0.0234415i | \(-0.00746235\pi\) |
−0.723488 | + | 0.690337i | \(0.757462\pi\) | |||||||
\(702\) | 10.5911 | − | 43.2076i | 0.399735 | − | 1.63077i | ||||
\(703\) | 2.83621i | 0.106970i | ||||||||
\(704\) | −16.4123 | + | 2.61575i | −0.618561 | + | 0.0985849i | ||||
\(705\) | −17.3598 | + | 4.21774i | −0.653808 | + | 0.158849i | ||||
\(706\) | 15.4272 | − | 10.9066i | 0.580610 | − | 0.410475i | ||||
\(707\) | −11.8310 | + | 4.90055i | −0.444949 | + | 0.184304i | ||||
\(708\) | −2.85894 | + | 28.0216i | −0.107446 | + | 1.05312i | ||||
\(709\) | 17.1483 | − | 41.3997i | 0.644019 | − | 1.55480i | −0.177192 | − | 0.984176i | \(-0.556701\pi\) |
0.821212 | − | 0.570624i | \(-0.193299\pi\) | |||||||
\(710\) | 0.608400 | − | 0.964601i | 0.0228328 | − | 0.0362008i | ||||
\(711\) | −2.23081 | + | 6.99510i | −0.0836621 | + | 0.262337i | ||||
\(712\) | 12.9520 | − | 23.1537i | 0.485396 | − | 0.867723i | ||||
\(713\) | −10.1246 | − | 10.1246i | −0.379170 | − | 0.379170i | ||||
\(714\) | 2.30042 | + | 4.63107i | 0.0860909 | + | 0.173313i | ||||
\(715\) | −16.3933 | + | 39.5768i | −0.613073 | + | 1.48009i | ||||
\(716\) | 49.6995 | − | 2.62074i | 1.85736 | − | 0.0979415i | ||||
\(717\) | −9.24354 | + | 6.75435i | −0.345206 | + | 0.252246i | ||||
\(718\) | −0.174200 | + | 1.01477i | −0.00650109 | + | 0.0378708i | ||||
\(719\) | − | 41.1609i | − | 1.53504i | −0.641023 | − | 0.767522i | \(-0.721490\pi\) | ||
0.641023 | − | 0.767522i | \(-0.278510\pi\) | |||||||
\(720\) | 40.1434 | − | 7.69333i | 1.49606 | − | 0.286713i | ||||
\(721\) | − | 7.12823i | − | 0.265469i | ||||||
\(722\) | −10.9070 | − | 1.87235i | −0.405916 | − | 0.0696817i | ||||
\(723\) | −18.6127 | + | 13.6005i | −0.692213 | + | 0.505807i | ||||
\(724\) | −16.0160 | + | 17.7991i | −0.595230 | + | 0.661499i | ||||
\(725\) | 3.60973 | − | 8.71466i | 0.134062 | − | 0.323654i | ||||
\(726\) | −14.6637 | + | 7.28396i | −0.544219 | + | 0.270333i | ||||
\(727\) | −2.53270 | − | 2.53270i | −0.0939328 | − | 0.0939328i | 0.658579 | − | 0.752512i | \(-0.271158\pi\) |
−0.752512 | + | 0.658579i | \(0.771158\pi\) | |||||||
\(728\) | 15.9559 | + | 1.88066i | 0.591363 | + | 0.0697020i | ||||
\(729\) | 21.5813 | − | 16.2249i | 0.799309 | − | 0.600920i | ||||
\(730\) | 22.2943 | + | 14.0616i | 0.825150 | + | 0.520444i | ||||
\(731\) | −2.14112 | + | 5.16912i | −0.0791922 | + | 0.191187i | ||||
\(732\) | −2.95438 | + | 2.40734i | −0.109197 | + | 0.0889779i | ||||
\(733\) | −12.2518 | + | 5.07484i | −0.452529 | + | 0.187444i | −0.597294 | − | 0.802023i | \(-0.703757\pi\) |
0.144765 | + | 0.989466i | \(0.453757\pi\) | |||||||
\(734\) | −30.6899 | − | 43.4104i | −1.13279 | − | 1.60231i | ||||
\(735\) | 35.0830 | − | 8.52375i | 1.29405 | − | 0.314403i | ||||
\(736\) | 22.8170 | + | 25.9755i | 0.841046 | + | 0.957469i | ||||
\(737\) | − | 18.7857i | − | 0.691980i | ||||||
\(738\) | −25.2380 | − | 13.0982i | −0.929023 | − | 0.482153i | ||||
\(739\) | 0.871699 | + | 2.10447i | 0.0320659 | + | 0.0774141i | 0.939101 | − | 0.343640i | \(-0.111660\pi\) |
−0.907035 | + | 0.421054i | \(0.861660\pi\) | |||||||
\(740\) | −2.48996 | − | 5.21597i | −0.0915327 | − | 0.191743i | ||||
\(741\) | −5.38909 | + | 34.6353i | −0.197973 | + | 1.27236i | ||||
\(742\) | 6.46601 | − | 10.2517i | 0.237375 | − | 0.376351i | ||||
\(743\) | 37.5946 | + | 37.5946i | 1.37921 | + | 1.37921i | 0.845950 | + | 0.533262i | \(0.179034\pi\) |
0.533262 | + | 0.845950i | \(0.320966\pi\) | |||||||
\(744\) | −7.07640 | + | 9.03582i | −0.259433 | + | 0.331269i | ||||
\(745\) | −26.8642 | + | 26.8642i | −0.984226 | + | 0.984226i | ||||
\(746\) | 7.64811 | + | 33.7745i | 0.280017 | + | 1.23657i | ||||
\(747\) | −40.4383 | + | 3.40419i | −1.47956 | + | 0.124553i | ||||
\(748\) | −6.25271 | + | 6.94885i | −0.228622 | + | 0.254075i | ||||
\(749\) | −12.6517 | + | 5.24051i | −0.462283 | + | 0.191484i | ||||
\(750\) | 13.3346 | − | 0.912622i | 0.486911 | − | 0.0333243i | ||||
\(751\) | 33.5914 | 1.22577 | 0.612885 | − | 0.790172i | \(-0.290009\pi\) | ||||
0.612885 | + | 0.790172i | \(0.290009\pi\) | |||||||
\(752\) | −7.61654 | + | 9.41808i | −0.277747 | + | 0.343442i | ||||
\(753\) | −24.4285 | + | 5.93514i | −0.890223 | + | 0.216288i | ||||
\(754\) | −12.0560 | − | 2.06960i | −0.439054 | − | 0.0753704i | ||||
\(755\) | 22.4372 | + | 54.1683i | 0.816575 | + | 1.97139i | ||||
\(756\) | 6.77195 | + | 7.01588i | 0.246293 | + | 0.255165i | ||||
\(757\) | 30.7254 | + | 12.7269i | 1.11673 | + | 0.462567i | 0.863252 | − | 0.504773i | \(-0.168424\pi\) |
0.253483 | + | 0.967340i | \(0.418424\pi\) | |||||||
\(758\) | −4.78628 | − | 21.1364i | −0.173845 | − | 0.767710i | ||||
\(759\) | −18.7822 | − | 11.4395i | −0.681749 | − | 0.415228i | ||||
\(760\) | −30.9921 | + | 8.75690i | −1.12420 | + | 0.317646i | ||||
\(761\) | −8.23145 | + | 8.23145i | −0.298390 | + | 0.298390i | −0.840383 | − | 0.541993i | \(-0.817670\pi\) |
0.541993 | + | 0.840383i | \(0.317670\pi\) | |||||||
\(762\) | −23.8942 | − | 8.03421i | −0.865595 | − | 0.291049i | ||||
\(763\) | −4.12738 | − | 1.70962i | −0.149421 | − | 0.0618922i | ||||
\(764\) | 0.0891824 | − | 0.252102i | 0.00322651 | − | 0.00912074i | ||||
\(765\) | 14.8356 | − | 17.5630i | 0.536382 | − | 0.634991i | ||||
\(766\) | −13.1180 | − | 18.5552i | −0.473972 | − | 0.670426i | ||||
\(767\) | 49.2250 | 1.77741 | ||||||||
\(768\) | 18.4607 | − | 20.6689i | 0.666142 | − | 0.745825i | ||||
\(769\) | 28.7476 | 1.03667 | 0.518333 | − | 0.855179i | \(-0.326553\pi\) | ||||
0.518333 | + | 0.855179i | \(0.326553\pi\) | |||||||
\(770\) | −5.42036 | − | 7.66701i | −0.195336 | − | 0.276300i | ||||
\(771\) | 16.8505 | − | 12.3128i | 0.606856 | − | 0.443436i | ||||
\(772\) | −4.99437 | + | 14.1182i | −0.179751 | + | 0.508124i | ||||
\(773\) | 19.1137 | + | 7.91717i | 0.687474 | + | 0.284761i | 0.698947 | − | 0.715173i | \(-0.253652\pi\) |
−0.0114736 | + | 0.999934i | \(0.503652\pi\) | |||||||
\(774\) | −0.906490 | + | 10.5117i | −0.0325831 | + | 0.377834i | ||||
\(775\) | −10.9366 | + | 10.9366i | −0.392853 | + | 0.392853i | ||||
\(776\) | −12.2154 | + | 3.45148i | −0.438506 | + | 0.123901i | ||||
\(777\) | 0.717242 | − | 1.17762i | 0.0257309 | − | 0.0422468i | ||||
\(778\) | −10.5114 | − | 46.4187i | −0.376851 | − | 1.66419i | ||||
\(779\) | 20.6987 | + | 8.57370i | 0.741609 | + | 0.307185i | ||||
\(780\) | −20.4961 | − | 68.4279i | −0.733880 | − | 2.45011i | ||||
\(781\) | 0.188216 | + | 0.454395i | 0.00673491 | + | 0.0162595i | ||||
\(782\) | 19.1662 | + | 3.29017i | 0.685383 | + | 0.117656i | ||||
\(783\) | −4.86751 | − | 5.60576i | −0.173951 | − | 0.200334i | ||||
\(784\) | 15.3925 | − | 19.0333i | 0.549732 | − | 0.679760i | ||||
\(785\) | −37.4090 | −1.33518 | ||||||||
\(786\) | −2.96835 | − | 43.3715i | −0.105878 | − | 1.54701i | ||||
\(787\) | −30.1761 | + | 12.4993i | −1.07566 | + | 0.445554i | −0.848985 | − | 0.528417i | \(-0.822786\pi\) |
−0.226676 | + | 0.973970i | \(0.572786\pi\) | |||||||
\(788\) | −6.13287 | + | 6.81567i | −0.218474 | + | 0.242798i | ||||
\(789\) | −0.914263 | + | 5.87591i | −0.0325486 | + | 0.209188i | ||||
\(790\) | 2.60371 | + | 11.4981i | 0.0926360 | + | 0.409085i | ||||
\(791\) | 3.88239 | − | 3.88239i | 0.138042 | − | 0.138042i | ||||
\(792\) | −7.28491 | + | 16.0518i | −0.258858 | + | 0.570377i | ||||
\(793\) | 4.70940 | + | 4.70940i | 0.167236 | + | 0.167236i | ||||
\(794\) | 16.1902 | − | 25.6691i | 0.574569 | − | 0.910963i | ||||
\(795\) | −53.2476 | − | 8.28506i | −1.88850 | − | 0.293841i | ||||
\(796\) | 4.55816 | + | 9.54845i | 0.161560 | + | 0.338436i | ||||
\(797\) | −15.0856 | − | 36.4199i | −0.534360 | − | 1.29006i | −0.928611 | − | 0.371055i | \(-0.878996\pi\) |
0.394251 | − | 0.919003i | \(-0.371004\pi\) | |||||||
\(798\) | −5.79099 | − | 5.04909i | −0.204999 | − | 0.178736i | ||||
\(799\) | 6.81287i | 0.241022i | ||||||||
\(800\) | 28.0586 | − | 24.6468i | 0.992021 | − | 0.871397i | ||||
\(801\) | −12.9114 | − | 25.0026i | −0.456201 | − | 0.883422i | ||||
\(802\) | 12.4135 | + | 17.5586i | 0.438335 | + | 0.620017i | ||||
\(803\) | −10.5022 | + | 4.35015i | −0.370614 | + | 0.153513i | ||||
\(804\) | 19.7876 | + | 24.2840i | 0.697853 | + | 0.856431i | ||||
\(805\) | −7.47504 | + | 18.0464i | −0.263461 | + | 0.636050i | ||||
\(806\) | 16.9647 | + | 10.7001i | 0.597556 | + | 0.376895i | ||||
\(807\) | −17.7523 | − | 10.8123i | −0.624910 | − | 0.380609i | ||||
\(808\) | 38.3369 | + | 4.51864i | 1.34869 | + | 0.158965i | ||||
\(809\) | −12.2843 | − | 12.2843i | −0.431893 | − | 0.431893i | 0.457379 | − | 0.889272i | \(-0.348788\pi\) |
−0.889272 | + | 0.457379i | \(0.848788\pi\) | |||||||
\(810\) | 16.6723 | − | 40.0194i | 0.585804 | − | 1.40614i | ||||
\(811\) | −2.03182 | + | 4.90525i | −0.0713468 | + | 0.172246i | −0.955530 | − | 0.294894i | \(-0.904716\pi\) |
0.884183 | + | 0.467140i | \(0.154716\pi\) | |||||||
\(812\) | 1.79343 | − | 1.99310i | 0.0629370 | − | 0.0699440i | ||||
\(813\) | −17.0255 | − | 23.2999i | −0.597110 | − | 0.817165i | ||||
\(814\) | 2.45670 | + | 0.421730i | 0.0861074 | + | 0.0147816i | ||||
\(815\) | − | 35.9533i | − | 1.25939i | ||||||
\(816\) | 0.763355 | − | 15.5688i | 0.0267228 | − | 0.545019i | ||||
\(817\) | − | 8.31311i | − | 0.290839i | ||||||
\(818\) | −7.78772 | + | 45.3657i | −0.272291 | + | 1.58618i | ||||
\(819\) | 10.9965 | − | 13.0181i | 0.384247 | − | 0.454888i | ||||
\(820\) | −45.5934 | + | 2.40421i | −1.59219 | + | 0.0839588i | ||||
\(821\) | 5.58979 | − | 13.4949i | 0.195085 | − | 0.470977i | −0.795821 | − | 0.605532i | \(-0.792960\pi\) |
0.990906 | + | 0.134555i | \(0.0429605\pi\) | |||||||
\(822\) | 26.1744 | − | 13.0017i | 0.912935 | − | 0.453488i | ||||
\(823\) | 16.7820 | + | 16.7820i | 0.584983 | + | 0.584983i | 0.936268 | − | 0.351286i | \(-0.114255\pi\) |
−0.351286 | + | 0.936268i | \(0.614255\pi\) | |||||||
\(824\) | −10.4903 | + | 18.7530i | −0.365445 | + | 0.653292i | ||||
\(825\) | −12.3569 | + | 20.2884i | −0.430212 | + | 0.706352i | ||||
\(826\) | −5.75599 | + | 9.12596i | −0.200277 | + | 0.317533i | ||||
\(827\) | 14.4882 | − | 34.9777i | 0.503806 | − | 1.21629i | −0.443590 | − | 0.896230i | \(-0.646295\pi\) |
0.947396 | − | 0.320065i | \(-0.103705\pi\) | |||||||
\(828\) | 36.3290 | − | 4.99613i | 1.26252 | − | 0.173628i | ||||
\(829\) | 15.7971 | − | 6.54339i | 0.548657 | − | 0.227261i | −0.0910953 | − | 0.995842i | \(-0.529037\pi\) |
0.639753 | + | 0.768581i | \(0.279037\pi\) | |||||||
\(830\) | −53.2069 | + | 37.6158i | −1.84684 | + | 1.30566i | ||||
\(831\) | 11.6358 | + | 47.8919i | 0.403641 | + | 1.66135i | ||||
\(832\) | −39.2091 | − | 28.4291i | −1.35933 | − | 0.985601i | ||||
\(833\) | − | 13.7683i | − | 0.477044i | ||||||
\(834\) | 37.3439 | + | 32.5597i | 1.29311 | + | 1.12745i | ||||
\(835\) | −23.7359 | − | 57.3036i | −0.821415 | − | 1.98307i | ||||
\(836\) | 4.63206 | − | 13.0940i | 0.160203 | − | 0.452865i | ||||
\(837\) | 3.85615 | + | 11.5463i | 0.133288 | + | 0.399098i | ||||
\(838\) | −14.0071 | − | 8.83467i | −0.483868 | − | 0.305189i | ||||
\(839\) | 24.3139 | + | 24.3139i | 0.839409 | + | 0.839409i | 0.988781 | − | 0.149372i | \(-0.0477252\pi\) |
−0.149372 | + | 0.988781i | \(0.547725\pi\) | |||||||
\(840\) | 15.0827 | + | 4.20160i | 0.520403 | + | 0.144969i | ||||
\(841\) | 19.0626 | − | 19.0626i | 0.657332 | − | 0.657332i | ||||
\(842\) | −39.7219 | + | 8.99489i | −1.36891 | + | 0.309984i | ||||
\(843\) | −0.264161 | − | 0.0411022i | −0.00909820 | − | 0.00141564i | ||||
\(844\) | 0.0643346 | + | 1.22004i | 0.00221449 | + | 0.0419954i | ||||
\(845\) | −74.4222 | + | 30.8267i | −2.56020 | + | 1.06047i | ||||
\(846\) | 3.87845 | + | 12.2478i | 0.133344 | + | 0.421088i | ||||
\(847\) | −6.27181 | −0.215502 | ||||||||
\(848\) | −32.0977 | + | 17.4545i | −1.10224 | + | 0.599389i | ||||
\(849\) | −5.09709 | − | 20.9791i | −0.174932 | − | 0.720003i | ||||
\(850\) | 3.55403 | − | 20.7033i | 0.121902 | − | 0.710116i | ||||
\(851\) | −1.98440 | − | 4.79076i | −0.0680243 | − | 0.164225i | ||||
\(852\) | −0.721932 | − | 0.389135i | −0.0247330 | − | 0.0133316i | ||||
\(853\) | 1.86280 | + | 0.771599i | 0.0637812 | + | 0.0264190i | 0.414346 | − | 0.910119i | \(-0.364010\pi\) |
−0.350565 | + | 0.936538i | \(0.614010\pi\) | |||||||
\(854\) | −1.42377 | + | 0.322408i | −0.0487205 | + | 0.0110326i | ||||
\(855\) | −10.3787 | + | 32.5442i | −0.354944 | + | 1.11299i | ||||
\(856\) | 40.9964 | + | 4.83211i | 1.40123 | + | 0.165158i | ||||
\(857\) | −16.8878 | + | 16.8878i | −0.576875 | + | 0.576875i | −0.934041 | − | 0.357166i | \(-0.883743\pi\) |
0.357166 | + | 0.934041i | \(0.383743\pi\) | |||||||
\(858\) | 29.1996 | + | 9.81810i | 0.996857 | + | 0.335185i | ||||
\(859\) | 46.4891 | + | 19.2564i | 1.58619 | + | 0.657020i | 0.989378 | − | 0.145363i | \(-0.0464349\pi\) |
0.596809 | + | 0.802383i | \(0.296435\pi\) | |||||||
\(860\) | 7.29824 | + | 15.2884i | 0.248868 | + | 0.521329i | ||||
\(861\) | −6.42611 | − | 8.79434i | −0.219001 | − | 0.299710i | ||||
\(862\) | −0.321422 | + | 0.227236i | −0.0109477 | + | 0.00773970i | ||||
\(863\) | −51.6586 | −1.75848 | −0.879239 | − | 0.476381i | \(-0.841948\pi\) | ||||
−0.879239 | + | 0.476381i | \(0.841948\pi\) | |||||||
\(864\) | −7.49077 | − | 28.4234i | −0.254841 | − | 0.966983i | ||||
\(865\) | 36.5420 | 1.24246 | ||||||||
\(866\) | −12.8021 | + | 9.05071i | −0.435032 | + | 0.307556i | ||||
\(867\) | 12.1993 | + | 16.6952i | 0.414312 | + | 0.566999i | ||||
\(868\) | −3.96745 | + | 1.89395i | −0.134664 | + | 0.0642848i | ||||
\(869\) | −4.69728 | − | 1.94568i | −0.159344 | − | 0.0660026i | ||||
\(870\) | −11.2991 | − | 3.79923i | −0.383076 | − | 0.128806i | ||||
\(871\) | 38.7098 | − | 38.7098i | 1.31163 | − | 1.31163i | ||||
\(872\) | 8.34238 | + | 10.5717i | 0.282509 | + | 0.358004i | ||||
\(873\) | −4.09071 | + | 12.8271i | −0.138450 | + | 0.434132i | ||||
\(874\) | −28.1804 | + | 6.38135i | −0.953215 | + | 0.215852i | ||||
\(875\) | 4.73012 | + | 1.95928i | 0.159907 | + | 0.0662357i | ||||
\(876\) | 8.99388 | − | 16.6856i | 0.303875 | − | 0.563756i | ||||
\(877\) | −15.0174 | − | 36.2552i | −0.507101 | − | 1.22425i | −0.945545 | − | 0.325492i | \(-0.894470\pi\) |
0.438444 | − | 0.898759i | \(-0.355530\pi\) | |||||||
\(878\) | −6.25333 | + | 36.4275i | −0.211040 | + | 1.22937i | ||||
\(879\) | 6.48657 | + | 26.6981i | 0.218787 | + | 0.900505i | ||||
\(880\) | 2.97678 | + | 28.1473i | 0.100347 | + | 0.948845i | ||||
\(881\) | 54.2455 | 1.82758 | 0.913788 | − | 0.406192i | \(-0.133144\pi\) | ||||
0.913788 | + | 0.406192i | \(0.133144\pi\) | |||||||
\(882\) | −7.83808 | − | 24.7519i | −0.263922 | − | 0.833441i | ||||
\(883\) | 12.5424 | − | 5.19524i | 0.422086 | − | 0.174834i | −0.161522 | − | 0.986869i | \(-0.551640\pi\) |
0.583608 | + | 0.812035i | \(0.301640\pi\) | |||||||
\(884\) | −27.2031 | + | 1.43446i | −0.914939 | + | 0.0482462i | ||||
\(885\) | 47.4006 | + | 7.37529i | 1.59335 | + | 0.247918i | ||||
\(886\) | −56.8951 | + | 12.8837i | −1.91143 | + | 0.432836i | ||||
\(887\) | −17.2169 | + | 17.2169i | −0.578086 | + | 0.578086i | −0.934376 | − | 0.356289i | \(-0.884042\pi\) |
0.356289 | + | 0.934376i | \(0.384042\pi\) | |||||||
\(888\) | −3.61997 | + | 2.04255i | −0.121478 | + | 0.0685436i | ||||
\(889\) | −6.82807 | − | 6.82807i | −0.229006 | − | 0.229006i | ||||
\(890\) | −38.2165 | − | 24.1042i | −1.28102 | − | 0.807974i | ||||
\(891\) | 9.94208 | + | 15.8344i | 0.333072 | + | 0.530471i | ||||
\(892\) | 20.1535 | + | 7.12942i | 0.674790 | + | 0.238710i | ||||
\(893\) | −3.87375 | − | 9.35206i | −0.129630 | − | 0.312955i | ||||
\(894\) | 20.5929 | + | 17.9547i | 0.688731 | + | 0.600496i | ||||
\(895\) | − | 84.7600i | − | 2.83321i | ||||||
\(896\) | 9.85536 | − | 3.94481i | 0.329245 | − | 0.131787i | ||||
\(897\) | −15.1302 | − | 62.2747i | −0.505184 | − | 2.07929i | ||||
\(898\) | −27.6606 | + | 19.5553i | −0.923045 | + | 0.652567i | ||||
\(899\) | 3.09243 | − | 1.28093i | 0.103138 | − | 0.0427213i | ||||
\(900\) | −5.39680 | − | 39.2424i | −0.179893 | − | 1.30808i | ||||
\(901\) | −7.86439 | + | 18.9863i | −0.262001 | + | 0.632526i | ||||
\(902\) | 10.5043 | − | 16.6542i | 0.349754 | − | 0.554526i | ||||
\(903\) | −2.10229 | + | 3.45168i | −0.0699597 | + | 0.114865i | ||||
\(904\) | −15.9273 | + | 4.50030i | −0.529735 | + | 0.149678i | ||||
\(905\) | 28.8350 | + | 28.8350i | 0.958507 | + | 0.958507i | ||||
\(906\) | 37.7616 | − | 18.7575i | 1.25455 | − | 0.623178i | ||||
\(907\) | 0.183637 | − | 0.443339i | 0.00609756 | − | 0.0147208i | −0.920801 | − | 0.390032i | \(-0.872464\pi\) |
0.926899 | + | 0.375311i | \(0.122464\pi\) | |||||||
\(908\) | −0.201461 | − | 3.82049i | −0.00668571 | − | 0.126787i | ||||
\(909\) | 26.4210 | − | 31.2783i | 0.876330 | − | 1.03744i | ||||
\(910\) | 4.62943 | − | 26.9678i | 0.153464 | − | 0.893973i | ||||
\(911\) | − | 3.96023i | − | 0.131208i | −0.997846 | − | 0.0656041i | \(-0.979103\pi\) | ||
0.997846 | − | 0.0656041i | \(-0.0208974\pi\) | |||||||
\(912\) | 7.80448 | + | 21.8055i | 0.258432 | + | 0.722052i | ||||
\(913\) | − | 28.1016i | − | 0.930027i | ||||||
\(914\) | −7.13240 | − | 1.22438i | −0.235919 | − | 0.0404990i | ||||
\(915\) | 3.82926 | + | 5.24046i | 0.126591 | + | 0.173244i | ||||
\(916\) | −18.7710 | − | 16.8905i | −0.620211 | − | 0.558078i | ||||
\(917\) | 6.37265 | − | 15.3849i | 0.210443 | − | 0.508056i | ||||
\(918\) | −13.3291 | − | 9.78149i | −0.439927 | − | 0.322837i | ||||
\(919\) | −17.2218 | − | 17.2218i | −0.568095 | − | 0.568095i | 0.363500 | − | 0.931594i | \(-0.381582\pi\) |
−0.931594 | + | 0.363500i | \(0.881582\pi\) | |||||||
\(920\) | 46.2233 | − | 36.4758i | 1.52394 | − | 1.20257i | ||||
\(921\) | −28.7822 | − | 17.5302i | −0.948406 | − | 0.577638i | ||||
\(922\) | 14.3035 | + | 9.02163i | 0.471062 | + | 0.297112i | ||||
\(923\) | −0.548486 | + | 1.32416i | −0.0180536 | + | 0.0435853i | ||||
\(924\) | −5.23458 | + | 4.26534i | −0.172205 | + | 0.140319i | ||||
\(925\) | −5.17496 | + | 2.14354i | −0.170152 | + | 0.0704791i | ||||
\(926\) | −22.7280 | − | 32.1484i | −0.746889 | − | 1.05646i | ||||
\(927\) | 10.4574 | + | 20.2504i | 0.343465 | + | 0.665111i | ||||
\(928\) | −7.65131 | + | 2.60416i | −0.251166 | + | 0.0854857i | ||||
\(929\) | 31.0543i | 1.01886i | 0.860513 | + | 0.509429i | \(0.170143\pi\) | ||||
−0.860513 | + | 0.509429i | \(0.829857\pi\) | |||||||
\(930\) | 14.7328 | + | 12.8453i | 0.483107 | + | 0.421215i | ||||
\(931\) | 7.82858 | + | 18.8999i | 0.256571 | + | 0.619418i | ||||
\(932\) | 17.8350 | − | 8.51393i | 0.584205 | − | 0.278883i | ||||
\(933\) | −35.7166 | − | 5.55733i | −1.16931 | − | 0.181939i | ||||
\(934\) | −30.3111 | + | 48.0574i | −0.991810 | + | 1.57249i | ||||
\(935\) | 11.2573 | + | 11.2573i | 0.368153 | + | 0.368153i | ||||
\(936\) | −48.0876 | + | 18.0651i | −1.57179 | + | 0.590475i | ||||
\(937\) | −35.2447 | + | 35.2447i | −1.15139 | + | 1.15139i | −0.165120 | + | 0.986273i | \(0.552801\pi\) |
−0.986273 | + | 0.165120i | \(0.947199\pi\) | |||||||
\(938\) | 2.65009 | + | 11.7029i | 0.0865285 | + | 0.382114i | ||||
\(939\) | −1.41717 | + | 9.10806i | −0.0462476 | + | 0.297230i | ||||
\(940\) | 15.3344 | + | 13.7982i | 0.500155 | + | 0.450049i | ||||
\(941\) | −17.9856 | + | 7.44989i | −0.586315 | + | 0.242859i | −0.656064 | − | 0.754705i | \(-0.727780\pi\) |
0.0697497 | + | 0.997565i | \(0.477780\pi\) | |||||||
\(942\) | 1.83688 | + | 26.8393i | 0.0598489 | + | 0.874471i | ||||
\(943\) | −40.9619 | −1.33390 | ||||||||
\(944\) | 28.5731 | − | 15.5378i | 0.929976 | − | 0.505714i | ||||
\(945\) | 12.5394 | − | 10.8880i | 0.407906 | − | 0.354186i | ||||
\(946\) | −7.20076 | − | 1.23612i | −0.234117 | − | 0.0401897i | ||||
\(947\) | 8.02826 | + | 19.3819i | 0.260883 | + | 0.629828i | 0.998994 | − | 0.0448519i | \(-0.0142816\pi\) |
−0.738110 | + | 0.674680i | \(0.764282\pi\) | |||||||
\(948\) | 8.12155 | − | 2.43264i | 0.263776 | − | 0.0790084i | ||||
\(949\) | −30.6047 | − | 12.6769i | −0.993470 | − | 0.411509i | ||||
\(950\) | 6.89311 | + | 30.4403i | 0.223642 | + | 0.987614i | ||||
\(951\) | −13.3134 | + | 21.8588i | −0.431716 | + | 0.708821i | ||||
\(952\) | 2.91498 | − | 5.21100i | 0.0944751 | − | 0.168889i | ||||
\(953\) | 30.6881 | − | 30.6881i | 0.994084 | − | 0.994084i | −0.00589861 | − | 0.999983i | \(-0.501878\pi\) |
0.999983 | + | 0.00589861i | \(0.00187760\pi\) | |||||||
\(954\) | −3.32956 | + | 38.6096i | −0.107798 | + | 1.25003i | ||||
\(955\) | −0.420757 | − | 0.174283i | −0.0136154 | − | 0.00563968i | ||||
\(956\) | 12.4626 | + | 4.40870i | 0.403068 | + | 0.142588i | ||||
\(957\) | 4.15092 | − | 3.03312i | 0.134180 | − | 0.0980469i | ||||
\(958\) | 19.3256 | + | 27.3358i | 0.624382 | + | 0.883178i | ||||
\(959\) | 11.1951 | 0.361507 | ||||||||
\(960\) | −33.4964 | − | 33.2501i | −1.08109 | − | 1.07314i | ||||
\(961\) | 25.5116 | 0.822955 | ||||||||
\(962\) | 4.19326 | + | 5.93129i | 0.135196 | + | 0.191232i | ||||
\(963\) | 28.2539 | − | 33.4481i | 0.910469 | − | 1.07785i | ||||
\(964\) | 25.0945 | + | 8.87731i | 0.808239 | + | 0.285919i | ||||
\(965\) | 23.5631 | + | 9.76017i | 0.758524 | + | 0.314191i | ||||
\(966\) | 13.3145 | + | 4.47689i | 0.428387 | + | 0.144041i | ||||
\(967\) | −7.20570 | + | 7.20570i | −0.231720 | + | 0.231720i | −0.813410 | − | 0.581691i | \(-0.802391\pi\) |
0.581691 | + | 0.813410i | \(0.302391\pi\) | |||||||
\(968\) | 16.4999 | + | 9.22990i | 0.530327 | + | 0.296660i | ||||
\(969\) | 11.1257 | + | 6.77622i | 0.357407 | + | 0.217683i | ||||
\(970\) | 4.77450 | + | 21.0845i | 0.153300 | + | 0.676981i | ||||
\(971\) | −18.8717 | − | 7.81690i | −0.605621 | − | 0.250856i | 0.0587340 | − | 0.998274i | \(-0.481294\pi\) |
−0.664355 | + | 0.747417i | \(0.731294\pi\) | |||||||
\(972\) | −29.5308 | − | 9.99656i | −0.947201 | − | 0.320640i | ||||
\(973\) | 7.26274 | + | 17.5338i | 0.232833 | + | 0.562108i | ||||
\(974\) | −2.10332 | − | 0.361066i | −0.0673946 | − | 0.0115693i | ||||
\(975\) | −67.2688 | + | 16.3436i | −2.15433 | + | 0.523415i | ||||
\(976\) | 4.22014 | + | 1.24710i | 0.135083 | + | 0.0399187i | ||||
\(977\) | −10.8222 | −0.346234 | −0.173117 | − | 0.984901i | \(-0.555384\pi\) | ||||
−0.173117 | + | 0.984901i | \(0.555384\pi\) | |||||||
\(978\) | −25.7949 | + | 1.76541i | −0.824830 | + | 0.0564515i | ||||
\(979\) | 18.0026 | − | 7.45694i | 0.575367 | − | 0.238325i | ||||
\(980\) | −30.9898 | − | 27.8853i | −0.989934 | − | 0.890762i | ||||
\(981\) | 14.2334 | − | 1.19820i | 0.454438 | − | 0.0382557i | ||||
\(982\) | −8.26427 | − | 36.4955i | −0.263724 | − | 1.16462i | ||||
\(983\) | 16.0211 | − | 16.0211i | 0.510994 | − | 0.510994i | −0.403837 | − | 0.914831i | \(-0.632324\pi\) |
0.914831 | + | 0.403837i | \(0.132324\pi\) | |||||||
\(984\) | 3.96368 | + | 32.5932i | 0.126357 | + | 1.03903i | ||||
\(985\) | 11.0415 | + | 11.0415i | 0.351813 | + | 0.351813i | ||||
\(986\) | −2.42522 | + | 3.84511i | −0.0772346 | + | 0.122453i | ||||
\(987\) | −0.756610 | + | 4.86268i | −0.0240831 | + | 0.154781i | ||||
\(988\) | 36.5262 | − | 17.4366i | 1.16205 | − | 0.554732i | ||||
\(989\) | 5.81641 | + | 14.0420i | 0.184951 | + | 0.446511i | ||||
\(990\) | 26.6463 | + | 13.8291i | 0.846876 | + | 0.439519i | ||||
\(991\) | 24.1879i | 0.768355i | 0.923259 | + | 0.384177i | \(0.125515\pi\) | ||||
−0.923259 | + | 0.384177i | \(0.874485\pi\) | |||||||
\(992\) | 13.2248 | + | 0.856077i | 0.419888 | + | 0.0271805i | ||||
\(993\) | −17.0579 | + | 4.14438i | −0.541315 | + | 0.131518i | ||||
\(994\) | −0.181354 | − | 0.256523i | −0.00575222 | − | 0.00813641i | ||||
\(995\) | 16.6480 | − | 6.89584i | 0.527778 | − | 0.218613i | ||||
\(996\) | 29.6002 | + | 36.3265i | 0.937920 | + | 1.15105i | ||||
\(997\) | 15.8249 | − | 38.2046i | 0.501178 | − | 1.20995i | −0.447664 | − | 0.894202i | \(-0.647744\pi\) |
0.948842 | − | 0.315750i | \(-0.102256\pi\) | |||||||
\(998\) | 30.7205 | + | 19.3762i | 0.972439 | + | 0.613344i | ||||
\(999\) | −0.309990 | + | 4.39768i | −0.00980765 | + | 0.139137i |
(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 | 96.2.o.a.11.10 | yes | 56 | |
3.2 | odd | 2 | inner | 96.2.o.a.11.5 | ✓ | 56 | |
4.3 | odd | 2 | 384.2.o.a.335.10 | 56 | |||
8.3 | odd | 2 | 768.2.o.a.671.5 | 56 | |||
8.5 | even | 2 | 768.2.o.b.671.10 | 56 | |||
12.11 | even | 2 | 384.2.o.a.335.9 | 56 | |||
24.5 | odd | 2 | 768.2.o.b.671.9 | 56 | |||
24.11 | even | 2 | 768.2.o.a.671.6 | 56 | |||
32.3 | odd | 8 | inner | 96.2.o.a.35.5 | yes | 56 | |
32.13 | even | 8 | 768.2.o.a.95.6 | 56 | |||
32.19 | odd | 8 | 768.2.o.b.95.9 | 56 | |||
32.29 | even | 8 | 384.2.o.a.47.9 | 56 | |||
96.29 | odd | 8 | 384.2.o.a.47.10 | 56 | |||
96.35 | even | 8 | inner | 96.2.o.a.35.10 | yes | 56 | |
96.77 | odd | 8 | 768.2.o.a.95.5 | 56 | |||
96.83 | even | 8 | 768.2.o.b.95.10 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.o.a.11.5 | ✓ | 56 | 3.2 | odd | 2 | inner | |
96.2.o.a.11.10 | yes | 56 | 1.1 | even | 1 | trivial | |
96.2.o.a.35.5 | yes | 56 | 32.3 | odd | 8 | inner | |
96.2.o.a.35.10 | yes | 56 | 96.35 | even | 8 | inner | |
384.2.o.a.47.9 | 56 | 32.29 | even | 8 | |||
384.2.o.a.47.10 | 56 | 96.29 | odd | 8 | |||
384.2.o.a.335.9 | 56 | 12.11 | even | 2 | |||
384.2.o.a.335.10 | 56 | 4.3 | odd | 2 | |||
768.2.o.a.95.5 | 56 | 96.77 | odd | 8 | |||
768.2.o.a.95.6 | 56 | 32.13 | even | 8 | |||
768.2.o.a.671.5 | 56 | 8.3 | odd | 2 | |||
768.2.o.a.671.6 | 56 | 24.11 | even | 2 | |||
768.2.o.b.95.9 | 56 | 32.19 | odd | 8 | |||
768.2.o.b.95.10 | 56 | 96.83 | even | 8 | |||
768.2.o.b.671.9 | 56 | 24.5 | odd | 2 | |||
768.2.o.b.671.10 | 56 | 8.5 | even | 2 |