Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 19.25 | ||
Character | \(\chi\) | \(=\) | 483.19 |
Dual form | 483.2.bf.a.178.25 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.63043 | + | 0.155687i | 1.15288 | + | 0.110087i | 0.653940 | − | 0.756546i | \(-0.273115\pi\) |
0.498945 | + | 0.866634i | \(0.333721\pi\) | |||||||
\(3\) | 0.690079 | − | 0.723734i | 0.398417 | − | 0.417848i | ||||
\(4\) | 0.670191 | + | 0.129169i | 0.335096 | + | 0.0645844i | ||||
\(5\) | 3.55311 | − | 1.83175i | 1.58900 | − | 0.819185i | 0.589059 | − | 0.808090i | \(-0.299499\pi\) |
0.999938 | − | 0.0110947i | \(-0.00353164\pi\) | |||||||
\(6\) | 1.23780 | − | 1.07256i | 0.505329 | − | 0.437870i | ||||
\(7\) | −2.60509 | + | 0.462092i | −0.984630 | + | 0.174654i | ||||
\(8\) | −2.07041 | − | 0.607927i | −0.732000 | − | 0.214935i | ||||
\(9\) | −0.0475819 | − | 0.998867i | −0.0158606 | − | 0.332956i | ||||
\(10\) | 6.07825 | − | 2.43337i | 1.92211 | − | 0.769498i | ||||
\(11\) | 0.0284877 | + | 0.298336i | 0.00858935 | + | 0.0899518i | 0.998750 | − | 0.0499831i | \(-0.0159167\pi\) |
−0.990161 | + | 0.139935i | \(0.955311\pi\) | |||||||
\(12\) | 0.555969 | − | 0.395904i | 0.160494 | − | 0.114288i | ||||
\(13\) | 5.98866 | + | 0.861039i | 1.66096 | + | 0.238809i | 0.907912 | − | 0.419161i | \(-0.137676\pi\) |
0.753044 | + | 0.657971i | \(0.228585\pi\) | |||||||
\(14\) | −4.31934 | + | 0.347828i | −1.15439 | + | 0.0929611i | ||||
\(15\) | 1.12622 | − | 3.83556i | 0.290789 | − | 0.990337i | ||||
\(16\) | −4.54827 | − | 1.82085i | −1.13707 | − | 0.455213i | ||||
\(17\) | −0.680955 | + | 1.96749i | −0.165156 | + | 0.477187i | −0.996963 | − | 0.0778783i | \(-0.975185\pi\) |
0.831807 | + | 0.555065i | \(0.187307\pi\) | |||||||
\(18\) | 0.0779316 | − | 1.63599i | 0.0183687 | − | 0.385606i | ||||
\(19\) | −0.499556 | − | 1.44337i | −0.114606 | − | 0.331132i | 0.873081 | − | 0.487575i | \(-0.162119\pi\) |
−0.987687 | + | 0.156443i | \(0.949997\pi\) | |||||||
\(20\) | 2.61787 | − | 0.768675i | 0.585373 | − | 0.171881i | ||||
\(21\) | −1.46328 | + | 2.20427i | −0.319315 | + | 0.481011i | ||||
\(22\) | 0.490850i | 0.104650i | ||||||||
\(23\) | −3.35233 | + | 3.42956i | −0.699010 | + | 0.715112i | ||||
\(24\) | −1.86872 | + | 1.07891i | −0.381451 | + | 0.220231i | ||||
\(25\) | 6.36896 | − | 8.94395i | 1.27379 | − | 1.78879i | ||||
\(26\) | 9.63001 | + | 2.33622i | 1.88860 | + | 0.458170i | ||||
\(27\) | −0.755750 | − | 0.654861i | −0.145444 | − | 0.126028i | ||||
\(28\) | −1.80559 | − | 0.0268060i | −0.341225 | − | 0.00506586i | ||||
\(29\) | 1.92778 | + | 2.22478i | 0.357980 | + | 0.413131i | 0.905962 | − | 0.423359i | \(-0.139149\pi\) |
−0.547982 | + | 0.836490i | \(0.684604\pi\) | |||||||
\(30\) | 2.43337 | − | 6.07825i | 0.444270 | − | 1.10973i | ||||
\(31\) | −6.99100 | + | 1.69600i | −1.25562 | + | 0.304610i | −0.807770 | − | 0.589498i | \(-0.799325\pi\) |
−0.447850 | + | 0.894108i | \(0.647810\pi\) | |||||||
\(32\) | −3.29625 | − | 1.69933i | −0.582700 | − | 0.300403i | ||||
\(33\) | 0.235575 | + | 0.185258i | 0.0410083 | + | 0.0322493i | ||||
\(34\) | −1.41656 | + | 3.10183i | −0.242938 | + | 0.531960i | ||||
\(35\) | −8.40971 | + | 6.41373i | −1.42150 | + | 1.08412i | ||||
\(36\) | 0.0971335 | − | 0.675578i | 0.0161889 | − | 0.112596i | ||||
\(37\) | 1.65123 | − | 0.0786579i | 0.271461 | − | 0.0129313i | 0.0885899 | − | 0.996068i | \(-0.471764\pi\) |
0.182871 | + | 0.983137i | \(0.441461\pi\) | |||||||
\(38\) | −0.589775 | − | 2.43109i | −0.0956742 | − | 0.394374i | ||||
\(39\) | 4.75581 | − | 3.74001i | 0.761539 | − | 0.598881i | ||||
\(40\) | −8.46995 | + | 1.63245i | −1.33922 | + | 0.258113i | ||||
\(41\) | −3.47422 | + | 5.40599i | −0.542582 | + | 0.844273i | −0.998964 | − | 0.0455104i | \(-0.985509\pi\) |
0.456382 | + | 0.889784i | \(0.349145\pi\) | |||||||
\(42\) | −2.72895 | + | 3.36608i | −0.421086 | + | 0.519398i | ||||
\(43\) | 3.04969 | + | 10.3863i | 0.465073 | + | 1.58389i | 0.774245 | + | 0.632886i | \(0.218130\pi\) |
−0.309172 | + | 0.951006i | \(0.600052\pi\) | |||||||
\(44\) | −0.0194436 | + | 0.203622i | −0.00293123 | + | 0.0306972i | ||||
\(45\) | −1.99874 | − | 3.46192i | −0.297955 | − | 0.516073i | ||||
\(46\) | −5.99967 | + | 5.06972i | −0.884602 | + | 0.747490i | ||||
\(47\) | 7.29260 | + | 4.21038i | 1.06373 | + | 0.614148i | 0.926463 | − | 0.376386i | \(-0.122833\pi\) |
0.137272 | + | 0.990533i | \(0.456167\pi\) | |||||||
\(48\) | −4.45648 | + | 2.03521i | −0.643237 | + | 0.293757i | ||||
\(49\) | 6.57294 | − | 2.40758i | 0.938992 | − | 0.343939i | ||||
\(50\) | 11.7766 | − | 13.5909i | 1.66546 | − | 1.92204i | ||||
\(51\) | 0.954028 | + | 1.85056i | 0.133591 | + | 0.259130i | ||||
\(52\) | 3.90233 | + | 1.35061i | 0.541156 | + | 0.187296i | ||||
\(53\) | −4.14772 | − | 5.27425i | −0.569733 | − | 0.724474i | 0.412747 | − | 0.910846i | \(-0.364569\pi\) |
−0.982479 | + | 0.186372i | \(0.940327\pi\) | |||||||
\(54\) | −1.13024 | − | 1.18536i | −0.153806 | − | 0.161307i | ||||
\(55\) | 0.647698 | + | 1.00784i | 0.0873356 | + | 0.135897i | ||||
\(56\) | 5.67451 | + | 0.626983i | 0.758288 | + | 0.0837841i | ||||
\(57\) | −1.38935 | − | 0.634496i | −0.184024 | − | 0.0840410i | ||||
\(58\) | 2.79673 | + | 3.92746i | 0.367229 | + | 0.515701i | ||||
\(59\) | −5.21554 | − | 13.0278i | −0.679005 | − | 1.69607i | −0.717261 | − | 0.696805i | \(-0.754604\pi\) |
0.0382553 | − | 0.999268i | \(-0.487820\pi\) | |||||||
\(60\) | 1.25022 | − | 2.42509i | 0.161402 | − | 0.313077i | ||||
\(61\) | −1.47992 | + | 1.41110i | −0.189485 | + | 0.180673i | −0.778883 | − | 0.627169i | \(-0.784213\pi\) |
0.589398 | + | 0.807843i | \(0.299365\pi\) | |||||||
\(62\) | −11.6623 | + | 1.67679i | −1.48112 | + | 0.212953i | ||||
\(63\) | 0.585523 | + | 2.58015i | 0.0737690 | + | 0.325068i | ||||
\(64\) | 3.13323 | + | 2.01361i | 0.391654 | + | 0.251701i | ||||
\(65\) | 22.8556 | − | 7.91038i | 2.83488 | − | 0.981162i | ||||
\(66\) | 0.355245 | + | 0.338725i | 0.0437276 | + | 0.0416942i | ||||
\(67\) | 2.46201 | + | 1.75319i | 0.300782 | + | 0.214186i | 0.720476 | − | 0.693479i | \(-0.243923\pi\) |
−0.419694 | + | 0.907666i | \(0.637863\pi\) | |||||||
\(68\) | −0.710509 | + | 1.23064i | −0.0861619 | + | 0.149237i | ||||
\(69\) | 0.168713 | + | 4.79286i | 0.0203107 | + | 0.576993i | ||||
\(70\) | −14.7099 | + | 9.14784i | −1.75817 | + | 1.09338i | ||||
\(71\) | −2.43876 | − | 5.34015i | −0.289428 | − | 0.633759i | 0.707939 | − | 0.706273i | \(-0.249625\pi\) |
−0.997367 | + | 0.0725144i | \(0.976898\pi\) | |||||||
\(72\) | −0.508724 | + | 2.09699i | −0.0599537 | + | 0.247133i | ||||
\(73\) | −0.874119 | + | 4.53536i | −0.102308 | + | 0.530823i | 0.894225 | + | 0.447619i | \(0.147728\pi\) |
−0.996532 | + | 0.0832049i | \(0.973484\pi\) | |||||||
\(74\) | 2.70446 | + | 0.128829i | 0.314387 | + | 0.0149761i | ||||
\(75\) | −2.07796 | − | 10.7815i | −0.239942 | − | 1.24494i | ||||
\(76\) | −0.148360 | − | 1.03186i | −0.0170180 | − | 0.118363i | ||||
\(77\) | −0.212071 | − | 0.764028i | −0.0241678 | − | 0.0870690i | ||||
\(78\) | 8.33627 | − | 5.35739i | 0.943896 | − | 0.606605i | ||||
\(79\) | −4.61874 | + | 5.87321i | −0.519649 | + | 0.660788i | −0.973070 | − | 0.230509i | \(-0.925961\pi\) |
0.453421 | + | 0.891296i | \(0.350203\pi\) | |||||||
\(80\) | −19.4958 | + | 1.86163i | −2.17970 | + | 0.208136i | ||||
\(81\) | −0.995472 | + | 0.0950560i | −0.110608 | + | 0.0105618i | ||||
\(82\) | −6.50609 | + | 8.27317i | −0.718478 | + | 0.913619i | ||||
\(83\) | 1.72742 | − | 1.11015i | 0.189609 | − | 0.121854i | −0.442392 | − | 0.896822i | \(-0.645870\pi\) |
0.632001 | + | 0.774967i | \(0.282234\pi\) | |||||||
\(84\) | −1.26540 | + | 1.28827i | −0.138067 | + | 0.140562i | ||||
\(85\) | 1.18445 | + | 8.23805i | 0.128472 | + | 0.893542i | ||||
\(86\) | 3.35528 | + | 17.4088i | 0.361809 | + | 1.87724i | ||||
\(87\) | 2.94047 | + | 0.140072i | 0.315251 | + | 0.0150173i | ||||
\(88\) | 0.122385 | − | 0.634996i | 0.0130463 | − | 0.0676908i | ||||
\(89\) | −0.749428 | + | 3.08919i | −0.0794393 | + | 0.327453i | −0.997640 | − | 0.0686624i | \(-0.978127\pi\) |
0.918201 | + | 0.396115i | \(0.129642\pi\) | |||||||
\(90\) | −2.71982 | − | 5.95558i | −0.286695 | − | 0.627774i | ||||
\(91\) | −15.9989 | + | 0.524228i | −1.67714 | + | 0.0549540i | ||||
\(92\) | −2.68970 | + | 1.86544i | −0.280420 | + | 0.194486i | ||||
\(93\) | −3.59689 | + | 6.22999i | −0.372980 | + | 0.646020i | ||||
\(94\) | 11.2345 | + | 8.00008i | 1.15875 | + | 0.825145i | ||||
\(95\) | −4.41888 | − | 4.21339i | −0.453367 | − | 0.432285i | ||||
\(96\) | −3.50454 | + | 1.21293i | −0.357680 | + | 0.123794i | ||||
\(97\) | −9.65292 | − | 6.20356i | −0.980106 | − | 0.629876i | −0.0506140 | − | 0.998718i | \(-0.516118\pi\) |
−0.929492 | + | 0.368842i | \(0.879754\pi\) | |||||||
\(98\) | 11.0915 | − | 2.90205i | 1.12041 | − | 0.293152i | ||||
\(99\) | 0.296643 | − | 0.0426508i | 0.0298137 | − | 0.00428657i | ||||
\(100\) | 5.42370 | − | 5.17149i | 0.542370 | − | 0.517149i | ||||
\(101\) | −6.11496 | + | 11.8614i | −0.608462 | + | 1.18025i | 0.360435 | + | 0.932784i | \(0.382628\pi\) |
−0.968896 | + | 0.247467i | \(0.920402\pi\) | |||||||
\(102\) | 1.26736 | + | 3.16572i | 0.125488 | + | 0.313453i | ||||
\(103\) | −0.653101 | − | 0.917152i | −0.0643520 | − | 0.0903697i | 0.781146 | − | 0.624349i | \(-0.214636\pi\) |
−0.845498 | + | 0.533979i | \(0.820696\pi\) | |||||||
\(104\) | −11.8755 | − | 5.42337i | −1.16449 | − | 0.531805i | ||||
\(105\) | −1.16152 | + | 10.5124i | −0.113353 | + | 1.02590i | ||||
\(106\) | −5.94141 | − | 9.24502i | −0.577081 | − | 0.897955i | ||||
\(107\) | −5.56280 | − | 5.83409i | −0.537776 | − | 0.564003i | 0.397645 | − | 0.917539i | \(-0.369828\pi\) |
−0.935421 | + | 0.353536i | \(0.884979\pi\) | |||||||
\(108\) | −0.421909 | − | 0.536501i | −0.0405982 | − | 0.0516249i | ||||
\(109\) | −7.77155 | − | 2.68976i | −0.744379 | − | 0.257632i | −0.0715573 | − | 0.997436i | \(-0.522797\pi\) |
−0.672822 | + | 0.739804i | \(0.734918\pi\) | |||||||
\(110\) | 0.899116 | + | 1.74404i | 0.0857274 | + | 0.166288i | ||||
\(111\) | 1.08255 | − | 1.24933i | 0.102751 | − | 0.118582i | ||||
\(112\) | 12.6900 | + | 2.64176i | 1.19910 | + | 0.249623i | ||||
\(113\) | −8.63183 | + | 3.94203i | −0.812015 | + | 0.370835i | −0.777747 | − | 0.628578i | \(-0.783637\pi\) |
−0.0342681 | + | 0.999413i | \(0.510910\pi\) | |||||||
\(114\) | −2.16645 | − | 1.25080i | −0.202907 | − | 0.117148i | ||||
\(115\) | −5.62909 | + | 18.3262i | −0.524915 | + | 1.70893i | ||||
\(116\) | 1.00461 | + | 1.74004i | 0.0932757 | + | 0.161558i | ||||
\(117\) | 0.575112 | − | 6.02285i | 0.0531691 | − | 0.556812i | ||||
\(118\) | −6.47529 | − | 22.0528i | −0.596099 | − | 2.03013i | ||||
\(119\) | 0.864786 | − | 5.44015i | 0.0792748 | − | 0.498698i | ||||
\(120\) | −4.66348 | + | 7.25651i | −0.425715 | + | 0.662426i | ||||
\(121\) | 10.7130 | − | 2.06477i | 0.973911 | − | 0.187706i | ||||
\(122\) | −2.63259 | + | 2.07029i | −0.238344 | + | 0.187436i | ||||
\(123\) | 1.51501 | + | 6.24497i | 0.136604 | + | 0.563090i | ||||
\(124\) | −4.90438 | + | 0.233624i | −0.440426 | + | 0.0209801i | ||||
\(125\) | 3.40196 | − | 23.6612i | 0.304281 | − | 2.11632i | ||||
\(126\) | 0.552957 | + | 4.29790i | 0.0492613 | + | 0.382887i | ||||
\(127\) | 7.01127 | − | 15.3525i | 0.622150 | − | 1.36232i | −0.291796 | − | 0.956481i | \(-0.594253\pi\) |
0.913945 | − | 0.405837i | \(-0.133020\pi\) | |||||||
\(128\) | 10.6252 | + | 8.35573i | 0.939141 | + | 0.738549i | ||||
\(129\) | 9.62143 | + | 4.96019i | 0.847119 | + | 0.436720i | ||||
\(130\) | 38.4958 | − | 9.33898i | 3.37631 | − | 0.819083i | ||||
\(131\) | 2.96129 | − | 7.39695i | 0.258729 | − | 0.646275i | −0.740951 | − | 0.671559i | \(-0.765625\pi\) |
0.999680 | + | 0.0252844i | \(0.00804913\pi\) | |||||||
\(132\) | 0.133951 | + | 0.154587i | 0.0116589 | + | 0.0134551i | ||||
\(133\) | 1.96836 | + | 3.52927i | 0.170678 | + | 0.306026i | ||||
\(134\) | 3.74118 | + | 3.24175i | 0.323188 | + | 0.280044i | ||||
\(135\) | −3.88480 | − | 0.942443i | −0.334350 | − | 0.0811125i | ||||
\(136\) | 2.60595 | − | 3.65954i | 0.223458 | − | 0.313803i | ||||
\(137\) | 16.1457 | − | 9.32173i | 1.37942 | − | 0.796409i | 0.387331 | − | 0.921941i | \(-0.373397\pi\) |
0.992090 | + | 0.125532i | \(0.0400637\pi\) | |||||||
\(138\) | −0.471111 | + | 7.84067i | −0.0401036 | + | 0.667442i | ||||
\(139\) | 6.82921i | 0.579246i | 0.957141 | + | 0.289623i | \(0.0935299\pi\) | ||||
−0.957141 | + | 0.289623i | \(0.906470\pi\) | |||||||
\(140\) | −6.46457 | + | 3.21216i | −0.546356 | + | 0.271477i | ||||
\(141\) | 8.07967 | − | 2.37240i | 0.680431 | − | 0.199793i | ||||
\(142\) | −3.14483 | − | 9.08639i | −0.263908 | − | 0.762513i | ||||
\(143\) | −0.0862763 | + | 1.81116i | −0.00721479 | + | 0.151457i | ||||
\(144\) | −1.60237 | + | 4.62976i | −0.133531 | + | 0.385813i | ||||
\(145\) | 10.9248 | + | 4.37365i | 0.907259 | + | 0.363212i | ||||
\(146\) | −2.13128 | + | 7.25847i | −0.176386 | + | 0.600716i | ||||
\(147\) | 2.79341 | − | 6.41848i | 0.230396 | − | 0.529387i | ||||
\(148\) | 1.11680 | + | 0.160572i | 0.0918006 | + | 0.0131989i | ||||
\(149\) | −1.86932 | + | 1.33114i | −0.153141 | + | 0.109051i | −0.654059 | − | 0.756444i | \(-0.726935\pi\) |
0.500918 | + | 0.865495i | \(0.332996\pi\) | |||||||
\(150\) | −1.70942 | − | 17.9019i | −0.139574 | − | 1.46168i | ||||
\(151\) | 4.60288 | − | 1.84271i | 0.374577 | − | 0.149958i | −0.176732 | − | 0.984259i | \(-0.556553\pi\) |
0.551309 | + | 0.834301i | \(0.314128\pi\) | |||||||
\(152\) | 0.156820 | + | 3.29206i | 0.0127198 | + | 0.267022i | ||||
\(153\) | 1.99766 | + | 0.586567i | 0.161502 | + | 0.0474211i | ||||
\(154\) | −0.226818 | − | 1.27871i | −0.0182775 | − | 0.103041i | ||||
\(155\) | −21.7331 | + | 18.8318i | −1.74564 | + | 1.51261i | ||||
\(156\) | 3.67040 | − | 1.89222i | 0.293867 | − | 0.151499i | ||||
\(157\) | −19.0653 | − | 3.67454i | −1.52158 | − | 0.293260i | −0.641142 | − | 0.767422i | \(-0.721539\pi\) |
−0.880438 | + | 0.474162i | \(0.842751\pi\) | |||||||
\(158\) | −8.44490 | + | 8.85675i | −0.671840 | + | 0.704605i | ||||
\(159\) | −6.67941 | − | 0.637806i | −0.529711 | − | 0.0505813i | ||||
\(160\) | −14.8247 | −1.17199 | ||||||||
\(161\) | 7.14834 | − | 10.4834i | 0.563368 | − | 0.826206i | ||||
\(162\) | −1.63784 | −0.128681 | ||||||||
\(163\) | −0.571032 | − | 0.0545270i | −0.0447267 | − | 0.00427088i | 0.0726687 | − | 0.997356i | \(-0.476848\pi\) |
−0.117395 | + | 0.993085i | \(0.537454\pi\) | |||||||
\(164\) | −3.02668 | + | 3.17429i | −0.236344 | + | 0.247870i | ||||
\(165\) | 1.17637 | + | 0.226727i | 0.0915802 | + | 0.0176506i | ||||
\(166\) | 2.98927 | − | 1.54108i | 0.232012 | − | 0.119611i | ||||
\(167\) | 13.1184 | − | 11.3672i | 1.01513 | − | 0.879618i | 0.0223754 | − | 0.999750i | \(-0.492877\pi\) |
0.992758 | + | 0.120132i | \(0.0383317\pi\) | |||||||
\(168\) | 4.36963 | − | 3.67417i | 0.337124 | − | 0.283468i | ||||
\(169\) | 22.6492 | + | 6.65042i | 1.74225 | + | 0.511571i | ||||
\(170\) | 0.648607 | + | 13.6159i | 0.0497459 | + | 1.04429i | ||||
\(171\) | −1.41797 | + | 0.567669i | −0.108435 | + | 0.0434107i | ||||
\(172\) | 0.702290 | + | 7.35472i | 0.0535491 | + | 0.560792i | ||||
\(173\) | 17.7135 | − | 12.6137i | 1.34673 | − | 0.959005i | 0.346958 | − | 0.937881i | \(-0.387215\pi\) |
0.999777 | − | 0.0211246i | \(-0.00672467\pi\) | |||||||
\(174\) | 4.77240 | + | 0.686168i | 0.361795 | + | 0.0520183i | ||||
\(175\) | −12.4588 | + | 26.2428i | −0.941793 | + | 1.98377i | ||||
\(176\) | 0.413657 | − | 1.40879i | 0.0311805 | − | 0.106191i | ||||
\(177\) | −13.0278 | − | 5.21554i | −0.979228 | − | 0.392024i | ||||
\(178\) | −1.70283 | + | 4.92001i | −0.127633 | + | 0.368770i | ||||
\(179\) | 0.715372 | − | 15.0175i | 0.0534694 | − | 1.12246i | −0.799556 | − | 0.600592i | \(-0.794932\pi\) |
0.853025 | − | 0.521870i | \(-0.174765\pi\) | |||||||
\(180\) | −0.892367 | − | 2.57833i | −0.0665131 | − | 0.192177i | ||||
\(181\) | −19.3820 | + | 5.69108i | −1.44066 | + | 0.423015i | −0.906440 | − | 0.422334i | \(-0.861211\pi\) |
−0.534215 | + | 0.845348i | \(0.679393\pi\) | |||||||
\(182\) | −26.1665 | − | 1.63609i | −1.93959 | − | 0.121275i | ||||
\(183\) | 2.04484i | 0.151159i | ||||||||
\(184\) | 9.02562 | − | 5.06261i | 0.665377 | − | 0.373221i | ||||
\(185\) | 5.72292 | − | 3.30413i | 0.420758 | − | 0.242925i | ||||
\(186\) | −6.83439 | + | 9.59755i | −0.501122 | + | 0.703727i | ||||
\(187\) | −0.606373 | − | 0.147104i | −0.0443424 | − | 0.0107573i | ||||
\(188\) | 4.34359 | + | 3.76374i | 0.316789 | + | 0.274499i | ||||
\(189\) | 2.27140 | + | 1.35674i | 0.165220 | + | 0.0986885i | ||||
\(190\) | −6.54868 | − | 7.55758i | −0.475091 | − | 0.548285i | ||||
\(191\) | 5.94296 | − | 14.8448i | 0.430017 | − | 1.07413i | −0.542241 | − | 0.840223i | \(-0.682424\pi\) |
0.972259 | − | 0.233908i | \(-0.0751516\pi\) | |||||||
\(192\) | 3.61949 | − | 0.878080i | 0.261215 | − | 0.0633700i | ||||
\(193\) | −11.1545 | − | 5.75053i | −0.802916 | − | 0.413932i | 0.00736546 | − | 0.999973i | \(-0.497655\pi\) |
−0.810281 | + | 0.586041i | \(0.800686\pi\) | |||||||
\(194\) | −14.7726 | − | 11.6173i | −1.06061 | − | 0.834071i | ||||
\(195\) | 10.0471 | − | 22.0001i | 0.719489 | − | 1.57546i | ||||
\(196\) | 4.71611 | − | 0.764518i | 0.336865 | − | 0.0546084i | ||||
\(197\) | 3.08225 | − | 21.4375i | 0.219601 | − | 1.52736i | −0.519914 | − | 0.854219i | \(-0.674036\pi\) |
0.739515 | − | 0.673140i | \(-0.235055\pi\) | |||||||
\(198\) | 0.490294 | − | 0.0233556i | 0.0348437 | − | 0.00165981i | ||||
\(199\) | 6.44487 | + | 26.5661i | 0.456865 | + | 1.88322i | 0.468819 | + | 0.883294i | \(0.344680\pi\) |
−0.0119545 | + | 0.999929i | \(0.503805\pi\) | |||||||
\(200\) | −18.6236 | + | 14.6458i | −1.31689 | + | 1.03561i | ||||
\(201\) | 2.96783 | − | 0.572001i | 0.209334 | − | 0.0403459i | ||||
\(202\) | −11.8167 | + | 18.3871i | −0.831417 | + | 1.29371i | ||||
\(203\) | −6.05008 | − | 4.90492i | −0.424633 | − | 0.344258i | ||||
\(204\) | 0.400347 | + | 1.36346i | 0.0280299 | + | 0.0954611i | ||||
\(205\) | −2.44183 | + | 25.5720i | −0.170544 | + | 1.78602i | ||||
\(206\) | −0.922044 | − | 1.59703i | −0.0642419 | − | 0.111270i | ||||
\(207\) | 3.58518 | + | 3.18535i | 0.249187 | + | 0.221397i | ||||
\(208\) | −25.6702 | − | 14.8207i | −1.77991 | − | 1.02763i | ||||
\(209\) | 0.416379 | − | 0.190154i | 0.0288016 | − | 0.0131532i | ||||
\(210\) | −3.53042 | + | 16.9588i | −0.243622 | + | 1.17027i | ||||
\(211\) | 11.1027 | − | 12.8132i | 0.764343 | − | 0.882099i | −0.231533 | − | 0.972827i | \(-0.574374\pi\) |
0.995876 | + | 0.0907282i | \(0.0289195\pi\) | |||||||
\(212\) | −2.09850 | − | 4.07051i | −0.144125 | − | 0.279564i | ||||
\(213\) | −5.54778 | − | 1.92011i | −0.380128 | − | 0.131564i | ||||
\(214\) | −8.16143 | − | 10.3781i | −0.557904 | − | 0.709433i | ||||
\(215\) | 29.8610 | + | 31.3173i | 2.03650 | + | 2.13582i | ||||
\(216\) | 1.16660 | + | 1.81527i | 0.0793773 | + | 0.123513i | ||||
\(217\) | 17.4284 | − | 7.64870i | 1.18312 | − | 0.519227i | ||||
\(218\) | −12.2522 | − | 5.59538i | −0.829822 | − | 0.378967i | ||||
\(219\) | 2.67918 | + | 3.76238i | 0.181042 | + | 0.254238i | ||||
\(220\) | 0.303900 | + | 0.759107i | 0.0204890 | + | 0.0511790i | ||||
\(221\) | −5.77210 | + | 11.1963i | −0.388273 | + | 0.753145i | ||||
\(222\) | 1.95953 | − | 1.86841i | 0.131515 | − | 0.125399i | ||||
\(223\) | 8.88639 | − | 1.27767i | 0.595077 | − | 0.0855591i | 0.161806 | − | 0.986823i | \(-0.448268\pi\) |
0.433271 | + | 0.901264i | \(0.357359\pi\) | |||||||
\(224\) | 9.37225 | + | 2.90374i | 0.626210 | + | 0.194014i | ||||
\(225\) | −9.23686 | − | 5.93617i | −0.615791 | − | 0.395745i | ||||
\(226\) | −14.6873 | + | 5.08332i | −0.976984 | + | 0.338137i | ||||
\(227\) | −12.5792 | − | 11.9942i | −0.834910 | − | 0.796085i | 0.146257 | − | 0.989247i | \(-0.453277\pi\) |
−0.981167 | + | 0.193162i | \(0.938126\pi\) | |||||||
\(228\) | −0.849174 | − | 0.604694i | −0.0562379 | − | 0.0400469i | ||||
\(229\) | 0.274281 | − | 0.475069i | 0.0181250 | − | 0.0313934i | −0.856821 | − | 0.515615i | \(-0.827564\pi\) |
0.874946 | + | 0.484221i | \(0.160897\pi\) | |||||||
\(230\) | −12.0310 | + | 29.0032i | −0.793298 | + | 1.91241i | ||||
\(231\) | −0.699299 | − | 0.373756i | −0.0460105 | − | 0.0245913i | ||||
\(232\) | −2.63879 | − | 5.77814i | −0.173245 | − | 0.379354i | ||||
\(233\) | −2.63653 | + | 10.8679i | −0.172725 | + | 0.711982i | 0.817899 | + | 0.575362i | \(0.195139\pi\) |
−0.990624 | + | 0.136620i | \(0.956376\pi\) | |||||||
\(234\) | 1.87535 | − | 9.73026i | 0.122596 | − | 0.636087i | ||||
\(235\) | 33.6238 | + | 1.60170i | 2.19337 | + | 0.104483i | ||||
\(236\) | −1.81263 | − | 9.40479i | −0.117992 | − | 0.612200i | ||||
\(237\) | 1.06334 | + | 7.39572i | 0.0690716 | + | 0.480404i | ||||
\(238\) | 2.25693 | − | 8.73512i | 0.146295 | − | 0.566214i | ||||
\(239\) | 4.90001 | − | 3.14905i | 0.316955 | − | 0.203695i | −0.372483 | − | 0.928039i | \(-0.621494\pi\) |
0.689439 | + | 0.724344i | \(0.257857\pi\) | |||||||
\(240\) | −12.1063 | + | 15.3945i | −0.781461 | + | 0.993709i | ||||
\(241\) | 1.02743 | − | 0.0981078i | 0.0661827 | − | 0.00631968i | −0.0619122 | − | 0.998082i | \(-0.519720\pi\) |
0.128095 | + | 0.991762i | \(0.459114\pi\) | |||||||
\(242\) | 17.7882 | − | 1.69857i | 1.14347 | − | 0.109188i | ||||
\(243\) | −0.618159 | + | 0.786053i | −0.0396549 | + | 0.0504253i | ||||
\(244\) | −1.17410 | + | 0.754549i | −0.0751641 | + | 0.0483051i | ||||
\(245\) | 18.9443 | − | 20.5944i | 1.21031 | − | 1.31573i | ||||
\(246\) | 1.49786 | + | 10.4178i | 0.0954999 | + | 0.664216i | ||||
\(247\) | −1.74887 | − | 9.07401i | −0.111278 | − | 0.577365i | ||||
\(248\) | 15.5053 | + | 0.738606i | 0.984585 | + | 0.0469016i | ||||
\(249\) | 0.388607 | − | 2.01628i | 0.0246270 | − | 0.127777i | ||||
\(250\) | 9.23037 | − | 38.0481i | 0.583780 | − | 2.40637i | ||||
\(251\) | 2.16741 | + | 4.74597i | 0.136806 | + | 0.299563i | 0.965619 | − | 0.259963i | \(-0.0837104\pi\) |
−0.828813 | + | 0.559526i | \(0.810983\pi\) | |||||||
\(252\) | 0.0591379 | + | 1.80482i | 0.00372534 | + | 0.113693i | ||||
\(253\) | −1.11866 | − | 0.902422i | −0.0703296 | − | 0.0567348i | ||||
\(254\) | 13.8215 | − | 23.9396i | 0.867241 | − | 1.50210i | ||||
\(255\) | 6.77952 | + | 4.82768i | 0.424550 | + | 0.302321i | ||||
\(256\) | 10.6316 | + | 10.1372i | 0.664475 | + | 0.633576i | ||||
\(257\) | −7.29941 | + | 2.52635i | −0.455325 | + | 0.157589i | −0.545097 | − | 0.838373i | \(-0.683507\pi\) |
0.0897724 | + | 0.995962i | \(0.471386\pi\) | |||||||
\(258\) | 14.9148 | + | 9.58515i | 0.928554 | + | 0.596745i | ||||
\(259\) | −4.26526 | + | 0.967931i | −0.265030 | + | 0.0601443i | ||||
\(260\) | 16.3394 | − | 2.34925i | 1.01332 | − | 0.145694i | ||||
\(261\) | 2.13053 | − | 2.03146i | 0.131876 | − | 0.125744i | ||||
\(262\) | 5.97978 | − | 11.5991i | 0.369432 | − | 0.716598i | ||||
\(263\) | 7.49892 | + | 18.7314i | 0.462403 | + | 1.15503i | 0.958075 | + | 0.286517i | \(0.0924976\pi\) |
−0.495672 | + | 0.868510i | \(0.665078\pi\) | |||||||
\(264\) | −0.375113 | − | 0.526772i | −0.0230866 | − | 0.0324206i | ||||
\(265\) | −24.3984 | − | 11.1424i | −1.49878 | − | 0.684471i | ||||
\(266\) | 2.65980 | + | 6.06066i | 0.163083 | + | 0.371603i | ||||
\(267\) | 1.71858 | + | 2.67417i | 0.105176 | + | 0.163656i | ||||
\(268\) | 1.42356 | + | 1.49299i | 0.0869578 | + | 0.0911987i | ||||
\(269\) | −0.558028 | − | 0.709590i | −0.0340236 | − | 0.0432645i | 0.768744 | − | 0.639557i | \(-0.220882\pi\) |
−0.802767 | + | 0.596293i | \(0.796640\pi\) | |||||||
\(270\) | −6.18715 | − | 2.14139i | −0.376538 | − | 0.130321i | ||||
\(271\) | 12.3962 | + | 24.0453i | 0.753015 | + | 1.46065i | 0.883121 | + | 0.469145i | \(0.155438\pi\) |
−0.130106 | + | 0.991500i | \(0.541532\pi\) | |||||||
\(272\) | 6.67968 | − | 7.70876i | 0.405015 | − | 0.467412i | ||||
\(273\) | −10.6611 | + | 11.9407i | −0.645237 | + | 0.722682i | ||||
\(274\) | 27.7756 | − | 12.6847i | 1.67799 | − | 0.766311i | ||||
\(275\) | 2.84974 | + | 1.64530i | 0.171846 | + | 0.0992152i | ||||
\(276\) | −0.506018 | + | 3.23393i | −0.0304587 | + | 0.194660i | ||||
\(277\) | −10.7149 | − | 18.5588i | −0.643799 | − | 1.11509i | −0.984578 | − | 0.174948i | \(-0.944024\pi\) |
0.340779 | − | 0.940143i | \(-0.389309\pi\) | |||||||
\(278\) | −1.06322 | + | 11.1345i | −0.0637675 | + | 0.667804i | ||||
\(279\) | 2.02672 | + | 6.90238i | 0.121337 | + | 0.413235i | ||||
\(280\) | 21.3106 | − | 8.16656i | 1.27355 | − | 0.488045i | ||||
\(281\) | 1.82540 | − | 2.84038i | 0.108894 | − | 0.169443i | −0.782529 | − | 0.622614i | \(-0.786071\pi\) |
0.891424 | + | 0.453171i | \(0.149707\pi\) | |||||||
\(282\) | 13.5426 | − | 2.61013i | 0.806453 | − | 0.155431i | ||||
\(283\) | 4.03387 | − | 3.17227i | 0.239788 | − | 0.188572i | −0.491032 | − | 0.871142i | \(-0.663380\pi\) |
0.730820 | + | 0.682570i | \(0.239138\pi\) | |||||||
\(284\) | −0.944658 | − | 3.89393i | −0.0560551 | − | 0.231062i | ||||
\(285\) | −6.09875 | + | 0.290519i | −0.361259 | + | 0.0172089i | ||||
\(286\) | −0.422641 | + | 2.93953i | −0.0249913 | + | 0.173818i | ||||
\(287\) | 6.55257 | − | 15.6885i | 0.386786 | − | 0.926061i | ||||
\(288\) | −1.54057 | + | 3.37337i | −0.0907788 | + | 0.198778i | ||||
\(289\) | 9.95558 | + | 7.82915i | 0.585622 | + | 0.460538i | ||||
\(290\) | 17.1312 | + | 8.83176i | 1.00598 | + | 0.518619i | ||||
\(291\) | −11.1510 | + | 2.70520i | −0.653684 | + | 0.158582i | ||||
\(292\) | −1.17165 | + | 2.92665i | −0.0685658 | + | 0.171269i | ||||
\(293\) | −1.58855 | − | 1.83329i | −0.0928043 | − | 0.107102i | 0.707448 | − | 0.706766i | \(-0.249846\pi\) |
−0.800252 | + | 0.599664i | \(0.795301\pi\) | |||||||
\(294\) | 5.55371 | − | 10.0300i | 0.323899 | − | 0.584959i | ||||
\(295\) | −42.3950 | − | 36.7355i | −2.46833 | − | 2.13882i | ||||
\(296\) | −3.46654 | − | 0.840975i | −0.201489 | − | 0.0488807i | ||||
\(297\) | 0.173839 | − | 0.244123i | 0.0100872 | − | 0.0141655i | ||||
\(298\) | −3.25503 | + | 1.87929i | −0.188559 | + | 0.108865i | ||||
\(299\) | −23.0290 | + | 17.6520i | −1.33180 | + | 1.02084i | ||||
\(300\) | − | 7.49405i | − | 0.432669i | ||||||
\(301\) | −12.7441 | − | 25.6479i | −0.734558 | − | 1.47832i | ||||
\(302\) | 7.79154 | − | 2.28780i | 0.448353 | − | 0.131648i | ||||
\(303\) | 4.36467 | + | 12.6109i | 0.250744 | + | 0.724477i | ||||
\(304\) | −0.356053 | + | 7.47447i | −0.0204210 | + | 0.428690i | ||||
\(305\) | −2.67353 | + | 7.72465i | −0.153086 | + | 0.442312i | ||||
\(306\) | 3.16572 | + | 1.26736i | 0.180972 | + | 0.0724504i | ||||
\(307\) | 2.98559 | − | 10.1680i | 0.170397 | − | 0.580318i | −0.829370 | − | 0.558700i | \(-0.811300\pi\) |
0.999766 | − | 0.0216175i | \(-0.00688161\pi\) | |||||||
\(308\) | −0.0434399 | − | 0.539438i | −0.00247522 | − | 0.0307373i | ||||
\(309\) | −1.11447 | − | 0.160236i | −0.0633998 | − | 0.00911551i | ||||
\(310\) | −38.3661 | + | 27.3204i | −2.17905 | + | 1.55169i | ||||
\(311\) | −1.89265 | − | 19.8208i | −0.107323 | − | 1.12393i | −0.875341 | − | 0.483505i | \(-0.839363\pi\) |
0.768019 | − | 0.640427i | \(-0.221243\pi\) | |||||||
\(312\) | −12.1201 | + | 4.85217i | −0.686167 | + | 0.274700i | ||||
\(313\) | 1.28455 | + | 26.9659i | 0.0726069 | + | 1.52421i | 0.682009 | + | 0.731344i | \(0.261107\pi\) |
−0.609402 | + | 0.792861i | \(0.708590\pi\) | |||||||
\(314\) | −30.5125 | − | 8.95929i | −1.72192 | − | 0.505602i | ||||
\(315\) | 6.80662 | + | 8.09500i | 0.383510 | + | 0.456102i | ||||
\(316\) | −3.85408 | + | 3.33958i | −0.216809 | + | 0.187866i | ||||
\(317\) | −7.30821 | + | 3.76764i | −0.410470 | + | 0.211612i | −0.651079 | − | 0.759010i | \(-0.725683\pi\) |
0.240609 | + | 0.970622i | \(0.422653\pi\) | |||||||
\(318\) | −10.7910 | − | 2.07979i | −0.605128 | − | 0.116629i | ||||
\(319\) | −0.608814 | + | 0.638505i | −0.0340870 | + | 0.0357494i | ||||
\(320\) | 14.8211 | + | 1.41525i | 0.828527 | + | 0.0791147i | ||||
\(321\) | −8.06110 | −0.449927 | ||||||||
\(322\) | 13.2870 | − | 15.9795i | 0.740454 | − | 0.890501i | ||||
\(323\) | 3.18000 | 0.176940 | ||||||||
\(324\) | −0.679435 | − | 0.0648782i | −0.0377464 | − | 0.00360434i | ||||
\(325\) | 45.8426 | − | 48.0783i | 2.54289 | − | 2.66691i | ||||
\(326\) | −0.922536 | − | 0.177804i | −0.0510946 | − | 0.00984767i | ||||
\(327\) | −7.30965 | + | 3.76839i | −0.404225 | + | 0.208392i | ||||
\(328\) | 10.4795 | − | 9.08053i | 0.578633 | − | 0.501388i | ||||
\(329\) | −20.9434 | − | 7.59856i | −1.15465 | − | 0.418922i | ||||
\(330\) | 1.88268 | + | 0.552806i | 0.103638 | + | 0.0304310i | ||||
\(331\) | 1.20535 | + | 25.3034i | 0.0662521 | + | 1.39080i | 0.750171 | + | 0.661244i | \(0.229971\pi\) |
−0.683919 | + | 0.729558i | \(0.739726\pi\) | |||||||
\(332\) | 1.30110 | − | 0.520882i | 0.0714071 | − | 0.0285871i | ||||
\(333\) | −0.157138 | − | 1.64562i | −0.00861109 | − | 0.0901794i | ||||
\(334\) | 23.1583 | − | 16.4910i | 1.26717 | − | 0.902345i | ||||
\(335\) | 11.9592 | + | 1.71947i | 0.653401 | + | 0.0939448i | ||||
\(336\) | 10.6691 | − | 7.36119i | 0.582045 | − | 0.401586i | ||||
\(337\) | −2.69772 | + | 9.18760i | −0.146954 | + | 0.500481i | −0.999764 | − | 0.0217419i | \(-0.993079\pi\) |
0.852809 | + | 0.522223i | \(0.174897\pi\) | |||||||
\(338\) | 35.8925 | + | 14.3692i | 1.95230 | + | 0.781581i | ||||
\(339\) | −3.10367 | + | 8.96746i | −0.168568 | + | 0.487046i | ||||
\(340\) | −0.270289 | + | 5.67406i | −0.0146585 | + | 0.307719i | ||||
\(341\) | −0.705135 | − | 2.03735i | −0.0381852 | − | 0.110329i | ||||
\(342\) | −2.40027 | + | 0.704783i | −0.129792 | + | 0.0381103i | ||||
\(343\) | −16.0106 | + | 9.30924i | −0.864489 | + | 0.502652i | ||||
\(344\) | − | 23.3578i | − | 1.25937i | ||||||
\(345\) | 9.37880 | + | 16.7205i | 0.504938 | + | 0.900202i | ||||
\(346\) | 30.8444 | − | 17.8080i | 1.65820 | − | 0.957365i | ||||
\(347\) | −15.2936 | + | 21.4769i | −0.821006 | + | 1.15294i | 0.165010 | + | 0.986292i | \(0.447234\pi\) |
−0.986016 | + | 0.166650i | \(0.946705\pi\) | |||||||
\(348\) | 1.95258 | + | 0.473691i | 0.104669 | + | 0.0253925i | ||||
\(349\) | 1.57910 | + | 1.36830i | 0.0845275 | + | 0.0732435i | 0.696100 | − | 0.717945i | \(-0.254917\pi\) |
−0.611572 | + | 0.791189i | \(0.709463\pi\) | |||||||
\(350\) | −24.3987 | + | 40.8472i | −1.30417 | + | 2.18338i | ||||
\(351\) | −3.96207 | − | 4.57247i | −0.211479 | − | 0.244060i | ||||
\(352\) | 0.413070 | − | 1.03180i | 0.0220167 | − | 0.0549951i | ||||
\(353\) | 7.56391 | − | 1.83499i | 0.402586 | − | 0.0976664i | −0.0293528 | − | 0.999569i | \(-0.509345\pi\) |
0.431939 | + | 0.901903i | \(0.357829\pi\) | |||||||
\(354\) | −20.4288 | − | 10.5318i | −1.08578 | − | 0.559759i | ||||
\(355\) | −18.4470 | − | 14.5069i | −0.979066 | − | 0.769946i | ||||
\(356\) | −0.901287 | + | 1.97354i | −0.0477681 | + | 0.104598i | ||||
\(357\) | −3.34045 | − | 4.38001i | −0.176795 | − | 0.231815i | ||||
\(358\) | 3.50439 | − | 24.3736i | 0.185213 | − | 1.28818i | ||||
\(359\) | −13.4836 | + | 0.642301i | −0.711635 | + | 0.0338994i | −0.400278 | − | 0.916394i | \(-0.631087\pi\) |
−0.311357 | + | 0.950293i | \(0.600784\pi\) | |||||||
\(360\) | 2.03362 | + | 8.38268i | 0.107181 | + | 0.441806i | ||||
\(361\) | 13.1012 | − | 10.3029i | 0.689539 | − | 0.542259i | ||||
\(362\) | −32.4870 | + | 6.26136i | −1.70748 | + | 0.329090i | ||||
\(363\) | 5.89849 | − | 9.17823i | 0.309590 | − | 0.481732i | ||||
\(364\) | −10.7900 | − | 1.71522i | −0.565550 | − | 0.0899019i | ||||
\(365\) | 5.20182 | + | 17.7158i | 0.272276 | + | 0.927286i | ||||
\(366\) | −0.318355 | + | 3.33396i | −0.0166407 | + | 0.174269i | ||||
\(367\) | 4.82177 | + | 8.35155i | 0.251694 | + | 0.435947i | 0.963992 | − | 0.265930i | \(-0.0856789\pi\) |
−0.712298 | + | 0.701877i | \(0.752346\pi\) | |||||||
\(368\) | 21.4920 | − | 9.49445i | 1.12035 | − | 0.494932i | ||||
\(369\) | 5.56517 | + | 3.21305i | 0.289711 | + | 0.167265i | ||||
\(370\) | 9.84521 | − | 4.49616i | 0.511828 | − | 0.233744i | ||||
\(371\) | 13.2423 | + | 11.8232i | 0.687508 | + | 0.613833i | ||||
\(372\) | −3.21532 | + | 3.71068i | −0.166707 | + | 0.192390i | ||||
\(373\) | −1.98788 | − | 3.85595i | −0.102928 | − | 0.199653i | 0.831748 | − | 0.555154i | \(-0.187341\pi\) |
−0.934676 | + | 0.355501i | \(0.884310\pi\) | |||||||
\(374\) | −0.965744 | − | 0.334247i | −0.0499374 | − | 0.0172835i | ||||
\(375\) | −14.7768 | − | 18.7902i | −0.763069 | − | 0.970321i | ||||
\(376\) | −12.5391 | − | 13.1506i | −0.646652 | − | 0.678189i | ||||
\(377\) | 9.62920 | + | 14.9833i | 0.495929 | + | 0.771680i | ||||
\(378\) | 3.49212 | + | 2.56569i | 0.179615 | + | 0.131965i | ||||
\(379\) | −3.06563 | − | 1.40003i | −0.157471 | − | 0.0719145i | 0.335120 | − | 0.942175i | \(-0.391223\pi\) |
−0.492591 | + | 0.870261i | \(0.663950\pi\) | |||||||
\(380\) | −2.41726 | − | 3.39456i | −0.124003 | − | 0.174137i | ||||
\(381\) | −6.27283 | − | 15.6688i | −0.321367 | − | 0.802735i | ||||
\(382\) | 12.0007 | − | 23.2781i | 0.614008 | − | 1.19101i | ||||
\(383\) | −8.26363 | + | 7.87936i | −0.422252 | + | 0.402616i | −0.871190 | − | 0.490947i | \(-0.836651\pi\) |
0.448938 | + | 0.893563i | \(0.351802\pi\) | |||||||
\(384\) | 13.3795 | − | 1.92369i | 0.682771 | − | 0.0981677i | ||||
\(385\) | −2.15302 | − | 2.32621i | −0.109728 | − | 0.118555i | ||||
\(386\) | −17.2912 | − | 11.1124i | −0.880101 | − | 0.565607i | ||||
\(387\) | 10.2294 | − | 3.54043i | 0.519990 | − | 0.179970i | ||||
\(388\) | −5.66800 | − | 5.40443i | −0.287749 | − | 0.274368i | ||||
\(389\) | −17.8630 | − | 12.7202i | −0.905692 | − | 0.644941i | 0.0293145 | − | 0.999570i | \(-0.490668\pi\) |
−0.935007 | + | 0.354630i | \(0.884607\pi\) | |||||||
\(390\) | 19.8062 | − | 34.3054i | 1.00293 | − | 1.73712i | ||||
\(391\) | −4.46484 | − | 8.93106i | −0.225797 | − | 0.451663i | ||||
\(392\) | −15.0723 | + | 0.988798i | −0.761266 | + | 0.0499418i | ||||
\(393\) | −3.30990 | − | 7.24767i | −0.166962 | − | 0.365597i | ||||
\(394\) | 8.36291 | − | 34.4724i | 0.421317 | − | 1.73669i | ||||
\(395\) | −5.65261 | + | 29.3285i | −0.284414 | + | 1.47568i | ||||
\(396\) | 0.204317 | + | 0.00973280i | 0.0102673 | + | 0.000489092i | ||||
\(397\) | 2.19144 | + | 11.3702i | 0.109985 | + | 0.570656i | 0.994552 | + | 0.104243i | \(0.0332419\pi\) |
−0.884567 | + | 0.466413i | \(0.845546\pi\) | |||||||
\(398\) | 6.37189 | + | 44.3175i | 0.319394 | + | 2.22143i | ||||
\(399\) | 3.91257 | + | 1.01091i | 0.195874 | + | 0.0506087i | ||||
\(400\) | −45.2533 | + | 29.0826i | −2.26267 | + | 1.45413i | ||||
\(401\) | 15.3381 | − | 19.5039i | 0.765946 | − | 0.973980i | −0.234052 | − | 0.972224i | \(-0.575199\pi\) |
0.999998 | − | 0.00175600i | \(-0.000558951\pi\) | |||||||
\(402\) | 4.92787 | − | 0.470555i | 0.245780 | − | 0.0234691i | ||||
\(403\) | −43.3270 | + | 4.13723i | −2.15827 | + | 0.206090i | ||||
\(404\) | −5.63032 | + | 7.15953i | −0.280119 | + | 0.356200i | ||||
\(405\) | −3.36290 | + | 2.16120i | −0.167104 | + | 0.107391i | ||||
\(406\) | −9.10058 | − | 8.93903i | −0.451654 | − | 0.443637i | ||||
\(407\) | 0.0705063 | + | 0.490382i | 0.00349487 | + | 0.0243073i | ||||
\(408\) | −0.850224 | − | 4.41138i | −0.0420924 | − | 0.218396i | ||||
\(409\) | 2.49444 | + | 0.118825i | 0.123342 | + | 0.00587550i | 0.109162 | − | 0.994024i | \(-0.465183\pi\) |
0.0141798 | + | 0.999899i | \(0.495486\pi\) | |||||||
\(410\) | −7.96243 | + | 41.3130i | −0.393236 | + | 2.04030i | ||||
\(411\) | 4.39536 | − | 18.1179i | 0.216807 | − | 0.893691i | ||||
\(412\) | −0.319235 | − | 0.699028i | −0.0157276 | − | 0.0344386i | ||||
\(413\) | 19.6070 | + | 31.5284i | 0.964795 | + | 1.55141i | ||||
\(414\) | 5.34946 | + | 5.75164i | 0.262912 | + | 0.282678i | ||||
\(415\) | 4.10420 | − | 7.10868i | 0.201467 | − | 0.348951i | ||||
\(416\) | −18.2769 | − | 13.0149i | −0.896099 | − | 0.638109i | ||||
\(417\) | 4.94253 | + | 4.71269i | 0.242037 | + | 0.230782i | ||||
\(418\) | 0.708480 | − | 0.245207i | 0.0346529 | − | 0.0119935i | ||||
\(419\) | 4.62277 | + | 2.97087i | 0.225837 | + | 0.145137i | 0.648667 | − | 0.761072i | \(-0.275327\pi\) |
−0.422830 | + | 0.906209i | \(0.638963\pi\) | |||||||
\(420\) | −2.13631 | + | 6.89527i | −0.104241 | + | 0.336455i | ||||
\(421\) | 12.1809 | − | 1.75135i | 0.593661 | − | 0.0853556i | 0.161066 | − | 0.986944i | \(-0.448507\pi\) |
0.432596 | + | 0.901588i | \(0.357598\pi\) | |||||||
\(422\) | 20.0970 | − | 19.1625i | 0.978307 | − | 0.932814i | ||||
\(423\) | 3.85862 | − | 7.48468i | 0.187612 | − | 0.363917i | ||||
\(424\) | 5.38111 | + | 13.4414i | 0.261330 | + | 0.652770i | ||||
\(425\) | 13.2602 | + | 18.6213i | 0.643212 | + | 0.903266i | ||||
\(426\) | −8.74631 | − | 3.99431i | −0.423760 | − | 0.193525i | ||||
\(427\) | 3.20327 | − | 4.35990i | 0.155017 | − | 0.210991i | ||||
\(428\) | −2.97456 | − | 4.62850i | −0.143781 | − | 0.223727i | ||||
\(429\) | 1.25126 | + | 1.31229i | 0.0604115 | + | 0.0633578i | ||||
\(430\) | 43.8104 | + | 55.7094i | 2.11272 | + | 2.68655i | ||||
\(431\) | −4.40593 | − | 1.52491i | −0.212226 | − | 0.0734521i | 0.218886 | − | 0.975750i | \(-0.429758\pi\) |
−0.431112 | + | 0.902298i | \(0.641879\pi\) | |||||||
\(432\) | 2.24495 | + | 4.35459i | 0.108010 | + | 0.209510i | ||||
\(433\) | −10.6059 | + | 12.2399i | −0.509687 | + | 0.588210i | −0.951018 | − | 0.309134i | \(-0.899961\pi\) |
0.441332 | + | 0.897344i | \(0.354506\pi\) | |||||||
\(434\) | 29.6066 | − | 9.75726i | 1.42116 | − | 0.468363i | ||||
\(435\) | 10.7044 | − | 4.88852i | 0.513235 | − | 0.234387i | ||||
\(436\) | −4.86099 | − | 2.80650i | −0.232799 | − | 0.134407i | ||||
\(437\) | 6.62481 | + | 3.12541i | 0.316908 | + | 0.149509i | ||||
\(438\) | 3.78245 | + | 6.55140i | 0.180733 | + | 0.313038i | ||||
\(439\) | 1.59910 | − | 16.7465i | 0.0763209 | − | 0.799269i | −0.873572 | − | 0.486694i | \(-0.838203\pi\) |
0.949893 | − | 0.312575i | \(-0.101191\pi\) | |||||||
\(440\) | −0.728308 | − | 2.48039i | −0.0347207 | − | 0.118248i | ||||
\(441\) | −2.71760 | − | 6.45094i | −0.129410 | − | 0.307188i | ||||
\(442\) | −11.1541 | + | 17.3561i | −0.530546 | + | 0.825546i | ||||
\(443\) | −9.47464 | + | 1.82609i | −0.450154 | + | 0.0867600i | −0.409289 | − | 0.912405i | \(-0.634223\pi\) |
−0.0408644 | + | 0.999165i | \(0.513011\pi\) | |||||||
\(444\) | 0.886893 | − | 0.697461i | 0.0420901 | − | 0.0331000i | ||||
\(445\) | 2.99583 | + | 12.3490i | 0.142016 | + | 0.585397i | ||||
\(446\) | 14.6875 | − | 0.699653i | 0.695474 | − | 0.0331295i | ||||
\(447\) | −0.326590 | + | 2.27148i | −0.0154472 | + | 0.107437i | ||||
\(448\) | −9.09281 | − | 3.79778i | −0.429595 | − | 0.179428i | ||||
\(449\) | −3.76151 | + | 8.23655i | −0.177517 | + | 0.388707i | −0.977385 | − | 0.211469i | \(-0.932175\pi\) |
0.799868 | + | 0.600176i | \(0.204903\pi\) | |||||||
\(450\) | −14.1358 | − | 11.1165i | −0.666370 | − | 0.524039i | ||||
\(451\) | −1.71177 | − | 0.882481i | −0.0806043 | − | 0.0415544i | ||||
\(452\) | −6.29417 | + | 1.52695i | −0.296053 | + | 0.0718216i | ||||
\(453\) | 1.84271 | − | 4.60288i | 0.0865783 | − | 0.216262i | ||||
\(454\) | −18.6421 | − | 21.5141i | −0.874916 | − | 1.00971i | ||||
\(455\) | −55.8853 | + | 31.1686i | −2.61995 | + | 1.46121i | ||||
\(456\) | 2.49080 | + | 2.15829i | 0.116642 | + | 0.101071i | ||||
\(457\) | −31.2995 | − | 7.59317i | −1.46413 | − | 0.355193i | −0.577010 | − | 0.816737i | \(-0.695781\pi\) |
−0.887117 | + | 0.461544i | \(0.847296\pi\) | |||||||
\(458\) | 0.521157 | − | 0.731862i | 0.0243520 | − | 0.0341977i | ||||
\(459\) | 1.80306 | − | 1.04100i | 0.0841599 | − | 0.0485897i | ||||
\(460\) | −6.13974 | + | 11.5550i | −0.286267 | + | 0.538754i | ||||
\(461\) | 20.2505i | 0.943158i | 0.881824 | + | 0.471579i | \(0.156316\pi\) | ||||
−0.881824 | + | 0.471579i | \(0.843684\pi\) | |||||||
\(462\) | −1.08197 | − | 0.718253i | −0.0503376 | − | 0.0334162i | ||||
\(463\) | −13.0970 | + | 3.84563i | −0.608670 | + | 0.178722i | −0.571520 | − | 0.820588i | \(-0.693646\pi\) |
−0.0371497 | + | 0.999310i | \(0.511828\pi\) | |||||||
\(464\) | −4.71707 | − | 13.6291i | −0.218985 | − | 0.632714i | ||||
\(465\) | −1.36831 | + | 28.7244i | −0.0634540 | + | 1.33206i | ||||
\(466\) | −5.99066 | + | 17.3089i | −0.277512 | + | 0.801818i | ||||
\(467\) | −26.9231 | − | 10.7784i | −1.24585 | − | 0.498765i | −0.347352 | − | 0.937735i | \(-0.612919\pi\) |
−0.898502 | + | 0.438970i | \(0.855343\pi\) | |||||||
\(468\) | 1.16340 | − | 3.96217i | 0.0537781 | − | 0.183152i | ||||
\(469\) | −7.22388 | − | 3.42954i | −0.333568 | − | 0.158361i | ||||
\(470\) | 54.5717 | + | 7.84622i | 2.51720 | + | 0.361919i | ||||
\(471\) | −15.8160 | + | 11.2625i | −0.728762 | + | 0.518949i | ||||
\(472\) | 2.87835 | + | 30.1435i | 0.132487 | + | 1.38747i | ||||
\(473\) | −3.01172 | + | 1.20571i | −0.138479 | + | 0.0554387i | ||||
\(474\) | 0.582287 | + | 12.2237i | 0.0267453 | + | 0.561454i | ||||
\(475\) | −16.0911 | − | 4.72477i | −0.738310 | − | 0.216787i | ||||
\(476\) | 1.28227 | − | 3.53424i | 0.0587727 | − | 0.161991i | ||||
\(477\) | −5.07092 | + | 4.39398i | −0.232181 | + | 0.201186i | ||||
\(478\) | 8.47937 | − | 4.37142i | 0.387837 | − | 0.199944i | ||||
\(479\) | −10.4184 | − | 2.00798i | −0.476028 | − | 0.0917469i | −0.0544066 | − | 0.998519i | \(-0.517327\pi\) |
−0.421621 | + | 0.906772i | \(0.638539\pi\) | |||||||
\(480\) | −10.2302 | + | 10.7291i | −0.466942 | + | 0.489715i | ||||
\(481\) | 9.95640 | + | 0.950721i | 0.453973 | + | 0.0433491i | ||||
\(482\) | 1.69042 | 0.0769967 | ||||||||
\(483\) | −2.65425 | − | 12.4079i | −0.120773 | − | 0.564577i | ||||
\(484\) | 7.44648 | 0.338476 | ||||||||
\(485\) | −45.6612 | − | 4.36012i | −2.07337 | − | 0.197983i | ||||
\(486\) | −1.13024 | + | 1.18536i | −0.0512687 | + | 0.0537691i | ||||
\(487\) | 34.8467 | + | 6.71616i | 1.57906 | + | 0.304338i | 0.902047 | − | 0.431637i | \(-0.142064\pi\) |
0.677008 | + | 0.735975i | \(0.263276\pi\) | |||||||
\(488\) | 3.92189 | − | 2.02187i | 0.177536 | − | 0.0915260i | ||||
\(489\) | −0.433520 | + | 0.375648i | −0.0196045 | + | 0.0169874i | ||||
\(490\) | 34.0935 | − | 30.6282i | 1.54019 | − | 1.38364i | ||||
\(491\) | −25.8174 | − | 7.58067i | −1.16512 | − | 0.342111i | −0.358701 | − | 0.933452i | \(-0.616780\pi\) |
−0.806421 | + | 0.591342i | \(0.798599\pi\) | |||||||
\(492\) | 0.208694 | + | 4.38102i | 0.00940863 | + | 0.197511i | ||||
\(493\) | −5.68996 | + | 2.27792i | −0.256263 | + | 0.102592i | ||||
\(494\) | −1.43870 | − | 15.0668i | −0.0647303 | − | 0.677886i | ||||
\(495\) | 0.975878 | − | 0.694919i | 0.0438624 | − | 0.0312343i | ||||
\(496\) | 34.8851 | + | 5.01572i | 1.56639 | + | 0.225212i | ||||
\(497\) | 8.82082 | + | 12.7846i | 0.395668 | + | 0.573468i | ||||
\(498\) | 0.947503 | − | 3.22690i | 0.0424586 | − | 0.144601i | ||||
\(499\) | −9.06526 | − | 3.62918i | −0.405817 | − | 0.162465i | 0.159768 | − | 0.987155i | \(-0.448925\pi\) |
−0.565585 | + | 0.824690i | \(0.691350\pi\) | |||||||
\(500\) | 5.33625 | − | 15.4181i | 0.238644 | − | 0.689518i | ||||
\(501\) | 0.825934 | − | 17.3385i | 0.0369000 | − | 0.774627i | ||||
\(502\) | 2.79492 | + | 8.07539i | 0.124743 | + | 0.360422i | ||||
\(503\) | 27.6562 | − | 8.12060i | 1.23313 | − | 0.362080i | 0.400700 | − | 0.916209i | \(-0.368767\pi\) |
0.832430 | + | 0.554130i | \(0.186949\pi\) | |||||||
\(504\) | 0.356269 | − | 5.69791i | 0.0158695 | − | 0.253805i | ||||
\(505\) | 53.3458i | 2.37386i | ||||||||
\(506\) | −1.68340 | − | 1.64549i | −0.0748362 | − | 0.0731511i | ||||
\(507\) | 20.4429 | − | 11.8027i | 0.907901 | − | 0.524177i | ||||
\(508\) | 6.68196 | − | 9.38350i | 0.296464 | − | 0.416326i | ||||
\(509\) | 21.4064 | + | 5.19315i | 0.948824 | + | 0.230182i | 0.680170 | − | 0.733055i | \(-0.261906\pi\) |
0.268654 | + | 0.963237i | \(0.413421\pi\) | |||||||
\(510\) | 10.3019 | + | 8.92665i | 0.456176 | + | 0.395279i | ||||
\(511\) | 0.181403 | − | 12.2189i | 0.00802481 | − | 0.540533i | ||||
\(512\) | −1.94785 | − | 2.24794i | −0.0860836 | − | 0.0993458i | ||||
\(513\) | −0.567669 | + | 1.41797i | −0.0250632 | + | 0.0626048i | ||||
\(514\) | −12.2945 | + | 2.98260i | −0.542286 | + | 0.131557i | ||||
\(515\) | −4.00053 | − | 2.06242i | −0.176285 | − | 0.0908810i | ||||
\(516\) | 5.80750 | + | 4.56707i | 0.255661 | + | 0.201054i | ||||
\(517\) | −1.04836 | + | 2.29559i | −0.0461069 | + | 0.100960i | ||||
\(518\) | −7.10488 | + | 0.914096i | −0.312170 | + | 0.0401631i | ||||
\(519\) | 3.09474 | − | 21.5244i | 0.135844 | − | 0.944815i | ||||
\(520\) | −52.1293 | + | 2.48322i | −2.28602 | + | 0.108896i | ||||
\(521\) | −4.92369 | − | 20.2957i | −0.215711 | − | 0.889172i | −0.972009 | − | 0.234945i | \(-0.924509\pi\) |
0.756298 | − | 0.654228i | \(-0.227006\pi\) | |||||||
\(522\) | 3.78994 | − | 2.98044i | 0.165881 | − | 0.130450i | ||||
\(523\) | 27.4732 | − | 5.29503i | 1.20132 | − | 0.231535i | 0.450947 | − | 0.892551i | \(-0.351086\pi\) |
0.750372 | + | 0.661015i | \(0.229874\pi\) | |||||||
\(524\) | 2.94009 | − | 4.57487i | 0.128438 | − | 0.199854i | ||||
\(525\) | 10.3953 | + | 27.1264i | 0.453687 | + | 1.18389i | ||||
\(526\) | 9.31020 | + | 31.7076i | 0.405944 | + | 1.38252i | ||||
\(527\) | 1.42370 | − | 14.9096i | 0.0620172 | − | 0.649473i | ||||
\(528\) | −0.734130 | − | 1.27155i | −0.0319489 | − | 0.0553371i | ||||
\(529\) | −0.523732 | − | 22.9940i | −0.0227710 | − | 0.999741i | ||||
\(530\) | −38.0451 | − | 21.9653i | −1.65257 | − | 0.954113i | ||||
\(531\) | −12.7649 | + | 5.82952i | −0.553948 | + | 0.252980i | ||||
\(532\) | 0.863305 | + | 2.61954i | 0.0374290 | + | 0.113571i | ||||
\(533\) | −25.4607 | + | 29.3832i | −1.10282 | + | 1.27273i | ||||
\(534\) | 2.38569 | + | 4.62759i | 0.103239 | + | 0.200256i | ||||
\(535\) | −30.4518 | − | 10.5395i | −1.31655 | − | 0.455661i | ||||
\(536\) | −4.03156 | − | 5.12654i | −0.174137 | − | 0.221433i | ||||
\(537\) | −10.3750 | − | 10.8810i | −0.447715 | − | 0.469550i | ||||
\(538\) | −0.799349 | − | 1.24381i | −0.0344624 | − | 0.0536245i | ||||
\(539\) | 0.905515 | + | 1.89236i | 0.0390033 | + | 0.0815098i | ||||
\(540\) | −2.48183 | − | 1.13341i | −0.106801 | − | 0.0487743i | ||||
\(541\) | 8.65680 | + | 12.1568i | 0.372185 | + | 0.522660i | 0.957611 | − | 0.288066i | \(-0.0930121\pi\) |
−0.585426 | + | 0.810726i | \(0.699073\pi\) | |||||||
\(542\) | 16.4675 | + | 41.1339i | 0.707341 | + | 1.76685i | ||||
\(543\) | −9.25631 | + | 17.9547i | −0.397226 | + | 0.770511i | ||||
\(544\) | 5.58802 | − | 5.32817i | 0.239584 | − | 0.228443i | ||||
\(545\) | −32.5401 | + | 4.67856i | −1.39387 | + | 0.200408i | ||||
\(546\) | −19.2411 | + | 17.8086i | −0.823442 | + | 0.762137i | ||||
\(547\) | −6.77488 | − | 4.35395i | −0.289673 | − | 0.186161i | 0.387731 | − | 0.921772i | \(-0.373259\pi\) |
−0.677404 | + | 0.735611i | \(0.736895\pi\) | |||||||
\(548\) | 12.0248 | − | 4.16182i | 0.513674 | − | 0.177784i | ||||
\(549\) | 1.47992 | + | 1.41110i | 0.0631615 | + | 0.0602244i | ||||
\(550\) | 4.39014 | + | 3.12620i | 0.187196 | + | 0.133302i | ||||
\(551\) | 2.24815 | − | 3.89391i | 0.0957743 | − | 0.165886i | ||||
\(552\) | 2.56440 | − | 10.0257i | 0.109148 | − | 0.426724i | ||||
\(553\) | 9.31826 | − | 17.4345i | 0.396253 | − | 0.741390i | ||||
\(554\) | −14.5806 | − | 31.9270i | −0.619468 | − | 1.35645i | ||||
\(555\) | 1.55796 | − | 6.42199i | 0.0661316 | − | 0.272598i | ||||
\(556\) | −0.882120 | + | 4.57688i | −0.0374102 | + | 0.194103i | ||||
\(557\) | 26.9842 | + | 1.28542i | 1.14336 | + | 0.0544648i | 0.610697 | − | 0.791864i | \(-0.290889\pi\) |
0.532661 | + | 0.846329i | \(0.321192\pi\) | |||||||
\(558\) | 2.22981 | + | 11.5693i | 0.0943953 | + | 0.489770i | ||||
\(559\) | 9.32054 | + | 64.8258i | 0.394217 | + | 2.74184i | ||||
\(560\) | 49.9281 | − | 13.8586i | 2.10985 | − | 0.585631i | ||||
\(561\) | −0.524910 | + | 0.337339i | −0.0221617 | + | 0.0142425i | ||||
\(562\) | 3.41839 | − | 4.34684i | 0.144196 | − | 0.183360i | ||||
\(563\) | −40.1705 | + | 3.83581i | −1.69298 | + | 0.161660i | −0.896513 | − | 0.443018i | \(-0.853908\pi\) |
−0.796470 | + | 0.604678i | \(0.793302\pi\) | |||||||
\(564\) | 5.72136 | − | 0.546324i | 0.240913 | − | 0.0230044i | ||||
\(565\) | −23.4490 | + | 29.8178i | −0.986507 | + | 1.25445i | ||||
\(566\) | 7.07080 | − | 4.54413i | 0.297208 | − | 0.191004i | ||||
\(567\) | 2.54937 | − | 0.707628i | 0.107063 | − | 0.0297176i | ||||
\(568\) | 1.80282 | + | 12.5389i | 0.0756445 | + | 0.526119i | ||||
\(569\) | 0.566552 | + | 2.93955i | 0.0237511 | + | 0.123232i | 0.991869 | − | 0.127262i | \(-0.0406189\pi\) |
−0.968118 | + | 0.250494i | \(0.919407\pi\) | |||||||
\(570\) | −9.98879 | − | 0.475825i | −0.418384 | − | 0.0199301i | ||||
\(571\) | −7.95773 | + | 41.2886i | −0.333021 | + | 1.72788i | 0.300175 | + | 0.953884i | \(0.402955\pi\) |
−0.633195 | + | 0.773992i | \(0.718257\pi\) | |||||||
\(572\) | −0.291767 | + | 1.20268i | −0.0121994 | + | 0.0502867i | ||||
\(573\) | −6.64257 | − | 14.5452i | −0.277497 | − | 0.607634i | ||||
\(574\) | 13.1260 | − | 24.5587i | 0.547867 | − | 1.02506i | ||||
\(575\) | 9.32292 | + | 51.8258i | 0.388793 | + | 2.16128i | ||||
\(576\) | 1.86224 | − | 3.22550i | 0.0775934 | − | 0.134396i | ||||
\(577\) | −26.8561 | − | 19.1242i | −1.11804 | − | 0.796150i | −0.137114 | − | 0.990555i | \(-0.543783\pi\) |
−0.980921 | + | 0.194406i | \(0.937722\pi\) | |||||||
\(578\) | 15.0129 | + | 14.3148i | 0.624456 | + | 0.595417i | ||||
\(579\) | −11.8593 | + | 4.10455i | −0.492856 | + | 0.170579i | ||||
\(580\) | 6.75680 | + | 4.34233i | 0.280561 | + | 0.180305i | ||||
\(581\) | −3.98709 | + | 3.69026i | −0.165413 | + | 0.153098i | ||||
\(582\) | −18.6020 | + | 2.67457i | −0.771080 | + | 0.110865i | ||||
\(583\) | 1.45534 | − | 1.38767i | 0.0602741 | − | 0.0574712i | ||||
\(584\) | 4.56695 | − | 8.85864i | 0.188982 | − | 0.366573i | ||||
\(585\) | −8.98893 | − | 22.4533i | −0.371647 | − | 0.928329i | ||||
\(586\) | −2.30460 | − | 3.23636i | −0.0952022 | − | 0.133693i | ||||
\(587\) | −4.61817 | − | 2.10905i | −0.190612 | − | 0.0870498i | 0.317822 | − | 0.948150i | \(-0.397048\pi\) |
−0.508435 | + | 0.861100i | \(0.669776\pi\) | |||||||
\(588\) | 2.70118 | − | 3.94079i | 0.111395 | − | 0.162515i | ||||
\(589\) | 5.94035 | + | 9.24337i | 0.244768 | + | 0.380866i | ||||
\(590\) | −63.4027 | − | 66.4949i | −2.61025 | − | 2.73755i | ||||
\(591\) | −13.3881 | − | 17.0243i | −0.550711 | − | 0.700286i | ||||
\(592\) | −7.65348 | − | 2.64889i | −0.314556 | − | 0.108869i | ||||
\(593\) | −10.7905 | − | 20.9306i | −0.443111 | − | 0.859515i | −0.999589 | − | 0.0286530i | \(-0.990878\pi\) |
0.556479 | − | 0.830862i | \(-0.312152\pi\) | |||||||
\(594\) | 0.321439 | − | 0.370960i | 0.0131888 | − | 0.0152207i | ||||
\(595\) | −6.89233 | − | 20.9135i | −0.282558 | − | 0.857370i | ||||
\(596\) | −1.42475 | + | 0.650660i | −0.0583599 | + | 0.0266521i | ||||
\(597\) | 23.6743 | + | 13.6684i | 0.968924 | + | 0.559408i | ||||
\(598\) | −40.2952 | + | 25.1949i | −1.64779 | + | 1.03030i | ||||
\(599\) | −0.337787 | − | 0.585064i | −0.0138016 | − | 0.0239051i | 0.859042 | − | 0.511905i | \(-0.171060\pi\) |
−0.872844 | + | 0.488000i | \(0.837727\pi\) | |||||||
\(600\) | −2.25212 | + | 23.5853i | −0.0919424 | + | 0.962864i | ||||
\(601\) | 9.45274 | + | 32.1931i | 0.385585 | + | 1.31318i | 0.892446 | + | 0.451154i | \(0.148988\pi\) |
−0.506861 | + | 0.862028i | \(0.669194\pi\) | |||||||
\(602\) | −16.7853 | − | 43.8011i | −0.684117 | − | 1.78520i | ||||
\(603\) | 1.63406 | − | 2.54264i | 0.0665439 | − | 0.103544i | ||||
\(604\) | 3.32283 | − | 0.640423i | 0.135204 | − | 0.0260584i | ||||
\(605\) | 34.2824 | − | 26.9599i | 1.39378 | − | 1.09608i | ||||
\(606\) | 5.15292 | + | 21.2406i | 0.209323 | + | 0.862842i | ||||
\(607\) | −29.3031 | + | 1.39588i | −1.18938 | + | 0.0566570i | −0.632918 | − | 0.774219i | \(-0.718143\pi\) |
−0.556458 | + | 0.830876i | \(0.687840\pi\) | |||||||
\(608\) | −0.806111 | + | 5.60663i | −0.0326921 | + | 0.227379i | ||||
\(609\) | −7.72489 | + | 0.993866i | −0.313029 | + | 0.0402735i | ||||
\(610\) | −5.56161 | + | 12.1782i | −0.225183 | + | 0.493082i | ||||
\(611\) | 40.0476 | + | 31.4938i | 1.62015 | + | 1.27410i | ||||
\(612\) | 1.26305 | + | 0.651148i | 0.0510558 | + | 0.0263211i | ||||
\(613\) | 31.2756 | − | 7.58738i | 1.26321 | − | 0.306451i | 0.452429 | − | 0.891801i | \(-0.350558\pi\) |
0.810781 | + | 0.585349i | \(0.199043\pi\) | |||||||
\(614\) | 6.45081 | − | 16.1133i | 0.260333 | − | 0.650281i | ||||
\(615\) | 16.8222 | + | 19.4139i | 0.678338 | + | 0.782844i | ||||
\(616\) | −0.0253983 | + | 1.71077i | −0.00102333 | + | 0.0689290i | ||||
\(617\) | −6.55121 | − | 5.67666i | −0.263742 | − | 0.228534i | 0.512943 | − | 0.858422i | \(-0.328555\pi\) |
−0.776685 | + | 0.629889i | \(0.783100\pi\) | |||||||
\(618\) | −1.79211 | − | 0.434760i | −0.0720891 | − | 0.0174886i | ||||
\(619\) | −12.4672 | + | 17.5077i | −0.501099 | + | 0.703696i | −0.985218 | − | 0.171307i | \(-0.945201\pi\) |
0.484118 | + | 0.875003i | \(0.339140\pi\) | |||||||
\(620\) | −16.9978 | + | 9.81370i | −0.682649 | + | 0.394128i | ||||
\(621\) | 4.77941 | − | 0.396576i | 0.191791 | − | 0.0159140i | ||||
\(622\) | − | 32.6109i | − | 1.30758i | ||||||
\(623\) | 0.524839 | − | 8.39390i | 0.0210272 | − | 0.336294i | ||||
\(624\) | −28.4407 | + | 8.35095i | −1.13854 | + | 0.334306i | ||||
\(625\) | −13.2980 | − | 38.4222i | −0.531922 | − | 1.53689i | ||||
\(626\) | −2.10388 | + | 44.1660i | −0.0840881 | + | 1.76523i | ||||
\(627\) | 0.149714 | − | 0.432569i | 0.00597899 | − | 0.0172751i | ||||
\(628\) | −12.3028 | − | 4.92529i | −0.490935 | − | 0.196541i | ||||
\(629\) | −0.969657 | + | 3.30235i | −0.0386628 | + | 0.131673i | ||||
\(630\) | 9.83740 | + | 14.2580i | 0.391931 | + | 0.568052i | ||||
\(631\) | 12.9495 | + | 1.86186i | 0.515512 | + | 0.0741194i | 0.395161 | − | 0.918612i | \(-0.370689\pi\) |
0.120351 | + | 0.992731i | \(0.461598\pi\) | |||||||
\(632\) | 13.1332 | − | 9.35208i | 0.522409 | − | 0.372006i | ||||
\(633\) | −1.61161 | − | 16.8776i | −0.0640558 | − | 0.670823i | ||||
\(634\) | −12.5021 | + | 5.00507i | −0.496520 | + | 0.198777i | ||||
\(635\) | −3.21028 | − | 67.3921i | −0.127396 | − | 2.67437i | ||||
\(636\) | −4.39410 | − | 1.29022i | −0.174237 | − | 0.0511607i | ||||
\(637\) | 41.4361 | − | 8.75859i | 1.64176 | − | 0.347028i | ||||
\(638\) | −1.09203 | + | 0.946251i | −0.0432340 | + | 0.0374624i | ||||
\(639\) | −5.21806 | + | 2.69009i | −0.206423 | + | 0.106419i | ||||
\(640\) | 53.0580 | + | 10.2261i | 2.09730 | + | 0.404222i | ||||
\(641\) | −13.9555 | + | 14.6362i | −0.551211 | + | 0.578093i | −0.939113 | − | 0.343607i | \(-0.888351\pi\) |
0.387903 | + | 0.921700i | \(0.373200\pi\) | |||||||
\(642\) | −13.1430 | − | 1.25501i | −0.518714 | − | 0.0495312i | ||||
\(643\) | −30.2393 | −1.19252 | −0.596260 | − | 0.802791i | \(-0.703347\pi\) | ||||
−0.596260 | + | 0.802791i | \(0.703347\pi\) | |||||||
\(644\) | 6.14488 | − | 6.10253i | 0.242142 | − | 0.240473i | ||||
\(645\) | 43.2718 | 1.70383 | ||||||||
\(646\) | 5.18475 | + | 0.495084i | 0.203991 | + | 0.0194788i | ||||
\(647\) | 21.9438 | − | 23.0140i | 0.862700 | − | 0.904773i | −0.133573 | − | 0.991039i | \(-0.542645\pi\) |
0.996272 | + | 0.0862657i | \(0.0274934\pi\) | |||||||
\(648\) | 2.11882 | + | 0.408369i | 0.0832351 | + | 0.0160423i | ||||
\(649\) | 3.73808 | − | 1.92712i | 0.146733 | − | 0.0756459i | ||||
\(650\) | 82.2281 | − | 71.2510i | 3.22525 | − | 2.79470i | ||||
\(651\) | 6.49138 | − | 17.8918i | 0.254417 | − | 0.701233i | ||||
\(652\) | −0.375658 | − | 0.110303i | −0.0147119 | − | 0.00431980i | ||||
\(653\) | 0.450944 | + | 9.46647i | 0.0176468 | + | 0.370452i | 0.990367 | + | 0.138469i | \(0.0442182\pi\) |
−0.972720 | + | 0.231983i | \(0.925479\pi\) | |||||||
\(654\) | −12.5045 | + | 5.00606i | −0.488966 | + | 0.195752i | ||||
\(655\) | −3.02761 | − | 31.7065i | −0.118298 | − | 1.23888i | ||||
\(656\) | 25.6452 | − | 18.2619i | 1.00128 | − | 0.713005i | ||||
\(657\) | 4.57181 | + | 0.657327i | 0.178363 | + | 0.0256448i | ||||
\(658\) | −32.9637 | − | 15.6495i | −1.28506 | − | 0.610081i | ||||
\(659\) | 5.74657 | − | 19.5710i | 0.223855 | − | 0.762379i | −0.768596 | − | 0.639734i | \(-0.779044\pi\) |
0.992451 | − | 0.122645i | \(-0.0391375\pi\) | |||||||
\(660\) | 0.759107 | + | 0.303900i | 0.0295482 | + | 0.0118293i | ||||
\(661\) | −6.23434 | + | 18.0129i | −0.242488 | + | 0.700622i | 0.756429 | + | 0.654076i | \(0.226943\pi\) |
−0.998916 | + | 0.0465457i | \(0.985179\pi\) | |||||||
\(662\) | −1.97417 | + | 41.4430i | −0.0767285 | + | 1.61073i | ||||
\(663\) | 4.11995 | + | 11.9038i | 0.160005 | + | 0.462305i | ||||
\(664\) | −4.25136 | + | 1.24831i | −0.164985 | + | 0.0484439i | ||||
\(665\) | 13.4585 | + | 8.93432i | 0.521900 | + | 0.346458i | ||||
\(666\) | − | 2.70753i | − | 0.104914i | ||||||
\(667\) | −14.0926 | − | 0.846759i | −0.545666 | − | 0.0327866i | ||||
\(668\) | 10.2601 | − | 5.92369i | 0.396976 | − | 0.229194i | ||||
\(669\) | 5.20762 | − | 7.31308i | 0.201338 | − | 0.282740i | ||||
\(670\) | 19.2309 | + | 4.66536i | 0.742954 | + | 0.180239i | ||||
\(671\) | −0.463143 | − | 0.401315i | −0.0178794 | − | 0.0154926i | ||||
\(672\) | 8.56913 | − | 4.77921i | 0.330561 | − | 0.184362i | ||||
\(673\) | 27.9048 | + | 32.2038i | 1.07565 | + | 1.24137i | 0.968998 | + | 0.247070i | \(0.0794677\pi\) |
0.106652 | + | 0.994296i | \(0.465987\pi\) | |||||||
\(674\) | −5.82883 | + | 14.5597i | −0.224518 | + | 0.560819i | ||||
\(675\) | −10.6704 | + | 2.58860i | −0.410703 | + | 0.0996354i | ||||
\(676\) | 14.3203 | + | 7.38263i | 0.550781 | + | 0.283947i | ||||
\(677\) | −30.4316 | − | 23.9317i | −1.16958 | − | 0.919769i | −0.171721 | − | 0.985146i | \(-0.554933\pi\) |
−0.997861 | + | 0.0653762i | \(0.979175\pi\) | |||||||
\(678\) | −6.45642 | + | 14.1376i | −0.247957 | + | 0.542950i | ||||
\(679\) | 28.0133 | + | 11.7003i | 1.07505 | + | 0.449015i | ||||
\(680\) | 2.55583 | − | 17.7762i | 0.0980116 | − | 0.681685i | ||||
\(681\) | −17.3613 | + | 0.827019i | −0.665285 | + | 0.0316914i | ||||
\(682\) | −0.832481 | − | 3.43153i | −0.0318773 | − | 0.131400i | ||||
\(683\) | 8.45916 | − | 6.65236i | 0.323681 | − | 0.254545i | −0.443075 | − | 0.896485i | \(-0.646112\pi\) |
0.766755 | + | 0.641939i | \(0.221870\pi\) | |||||||
\(684\) | −1.02364 | + | 0.197290i | −0.0391397 | + | 0.00754355i | ||||
\(685\) | 40.2923 | − | 62.6960i | 1.53949 | − | 2.39549i | ||||
\(686\) | −27.5533 | + | 12.6854i | −1.05199 | + | 0.484331i | ||||
\(687\) | −0.154548 | − | 0.526341i | −0.00589637 | − | 0.0200812i | ||||
\(688\) | 5.04108 | − | 52.7926i | 0.192190 | − | 2.01270i | ||||
\(689\) | −20.2979 | − | 35.1570i | −0.773289 | − | 1.33938i | ||||
\(690\) | 12.6883 | + | 28.7217i | 0.483034 | + | 1.09342i | ||||
\(691\) | 23.1360 | + | 13.3576i | 0.880133 | + | 0.508145i | 0.870702 | − | 0.491810i | \(-0.163665\pi\) |
0.00943102 | + | 0.999956i | \(0.496998\pi\) | |||||||
\(692\) | 13.5008 | − | 6.16559i | 0.513222 | − | 0.234381i | ||||
\(693\) | −0.753071 | + | 0.248185i | −0.0286068 | + | 0.00942777i | ||||
\(694\) | −28.2788 | + | 32.6355i | −1.07345 | + | 1.23883i | ||||
\(695\) | 12.5094 | + | 24.2649i | 0.474509 | + | 0.920420i | ||||
\(696\) | −6.00281 | − | 2.07759i | −0.227536 | − | 0.0787510i | ||||
\(697\) | −8.27045 | − | 10.5167i | −0.313266 | − | 0.398350i | ||||
\(698\) | 2.36158 | + | 2.47676i | 0.0893873 | + | 0.0937467i | ||||
\(699\) | 6.04608 | + | 9.40788i | 0.228684 | + | 0.355839i | ||||
\(700\) | −11.7395 | + | 15.9784i | −0.443711 | + | 0.603927i | ||||
\(701\) | 33.8350 | + | 15.4519i | 1.27793 | + | 0.583612i | 0.934633 | − | 0.355615i | \(-0.115728\pi\) |
0.343299 | + | 0.939226i | \(0.388456\pi\) | |||||||
\(702\) | −5.74798 | − | 8.07191i | −0.216944 | − | 0.304655i | ||||
\(703\) | −0.938417 | − | 2.34405i | −0.0353931 | − | 0.0884076i | ||||
\(704\) | −0.511473 | + | 0.992120i | −0.0192769 | + | 0.0373919i | ||||
\(705\) | 24.3623 | − | 23.2294i | 0.917536 | − | 0.874868i | ||||
\(706\) | 12.6181 | − | 1.81421i | 0.474888 | − | 0.0682785i | ||||
\(707\) | 10.4490 | − | 33.7256i | 0.392974 | − | 1.26838i | ||||
\(708\) | −8.05742 | − | 5.17819i | −0.302817 | − | 0.194608i | ||||
\(709\) | 31.3223 | − | 10.8408i | 1.17633 | − | 0.407133i | 0.332170 | − | 0.943219i | \(-0.392219\pi\) |
0.844163 | + | 0.536087i | \(0.180098\pi\) | |||||||
\(710\) | −27.8179 | − | 26.5244i | −1.04399 | − | 0.995441i | ||||
\(711\) | 6.08632 | + | 4.33405i | 0.228255 | + | 0.162540i | ||||
\(712\) | 3.42962 | − | 5.94028i | 0.128530 | − | 0.222621i | ||||
\(713\) | 17.6196 | − | 29.6616i | 0.659860 | − | 1.11083i | ||||
\(714\) | −4.76444 | − | 7.66134i | −0.178305 | − | 0.286718i | ||||
\(715\) | 3.01106 | + | 6.59329i | 0.112607 | + | 0.246575i | ||||
\(716\) | 2.41923 | − | 9.97220i | 0.0904109 | − | 0.372679i | ||||
\(717\) | 1.10232 | − | 5.71939i | 0.0411670 | − | 0.213595i | ||||
\(718\) | −22.0839 | − | 1.05199i | −0.824165 | − | 0.0392598i | ||||
\(719\) | 8.11588 | + | 42.1092i | 0.302671 | + | 1.57041i | 0.740945 | + | 0.671566i | \(0.234378\pi\) |
−0.438274 | + | 0.898842i | \(0.644410\pi\) | |||||||
\(720\) | 2.78717 | + | 19.3852i | 0.103872 | + | 0.722443i | ||||
\(721\) | 2.12519 | + | 2.08747i | 0.0791463 | + | 0.0777414i | ||||
\(722\) | 22.9646 | − | 14.7585i | 0.854655 | − | 0.549253i | ||||
\(723\) | 0.638005 | − | 0.811289i | 0.0237277 | − | 0.0301722i | ||||
\(724\) | −13.7248 | + | 1.31056i | −0.510078 | + | 0.0487065i | ||||
\(725\) | 32.1762 | − | 3.07246i | 1.19500 | − | 0.114108i | ||||
\(726\) | 11.0460 | − | 14.0461i | 0.409955 | − | 0.521300i | ||||
\(727\) | −17.0012 | + | 10.9260i | −0.630541 | + | 0.405224i | −0.816510 | − | 0.577331i | \(-0.804094\pi\) |
0.185969 | + | 0.982556i | \(0.440458\pi\) | |||||||
\(728\) | 33.4428 | + | 8.64076i | 1.23947 | + | 0.320248i | ||||
\(729\) | 0.142315 | + | 0.989821i | 0.00527092 | + | 0.0366601i | ||||
\(730\) | 5.72307 | + | 29.6941i | 0.211820 | + | 1.09903i | ||||
\(731\) | −22.5116 | − | 1.07236i | −0.832622 | − | 0.0396627i | ||||
\(732\) | −0.264130 | + | 1.37044i | −0.00976252 | + | 0.0506528i | ||||
\(733\) | −7.78976 | + | 32.1098i | −0.287721 | + | 1.18600i | 0.626053 | + | 0.779781i | \(0.284669\pi\) |
−0.913774 | + | 0.406223i | \(0.866846\pi\) | |||||||
\(734\) | 6.56131 | + | 14.3673i | 0.242182 | + | 0.530305i | ||||
\(735\) | −1.83181 | − | 27.9224i | −0.0675673 | − | 1.02993i | ||||
\(736\) | 16.8781 | − | 5.60794i | 0.622134 | − | 0.206711i | ||||
\(737\) | −0.452903 | + | 0.784451i | −0.0166829 | + | 0.0288956i | ||||
\(738\) | 8.57337 | + | 6.10507i | 0.315590 | + | 0.224731i | ||||
\(739\) | −12.0182 | − | 11.4593i | −0.442096 | − | 0.421538i | 0.436056 | − | 0.899920i | \(-0.356375\pi\) |
−0.878152 | + | 0.478382i | \(0.841224\pi\) | |||||||
\(740\) | 4.26225 | − | 1.47518i | 0.156683 | − | 0.0542286i | ||||
\(741\) | −7.77403 | − | 4.99606i | −0.285586 | − | 0.183535i | ||||
\(742\) | 19.7499 | + | 21.3386i | 0.725043 | + | 0.783364i | ||||
\(743\) | 25.3746 | − | 3.64831i | 0.930902 | − | 0.133844i | 0.339853 | − | 0.940479i | \(-0.389623\pi\) |
0.591050 | + | 0.806635i | \(0.298714\pi\) | |||||||
\(744\) | 11.2344 | − | 10.7120i | 0.411873 | − | 0.392720i | ||||
\(745\) | −4.20358 | + | 8.15382i | −0.154007 | + | 0.298733i | ||||
\(746\) | −2.64077 | − | 6.59632i | −0.0966854 | − | 0.241508i | ||||
\(747\) | −1.19108 | − | 1.67264i | −0.0435795 | − | 0.0611988i | ||||
\(748\) | −0.387385 | − | 0.176913i | −0.0141642 | − | 0.00646857i | ||||
\(749\) | 17.1874 | + | 12.6278i | 0.628016 | + | 0.461409i | ||||
\(750\) | −21.1670 | − | 32.9365i | −0.772911 | − | 1.20267i | ||||
\(751\) | 26.6613 | + | 27.9616i | 0.972885 | + | 1.02033i | 0.999786 | + | 0.0206940i | \(0.00658758\pi\) |
−0.0269011 | + | 0.999638i | \(0.508564\pi\) | |||||||
\(752\) | −25.5022 | − | 32.4287i | −0.929970 | − | 1.18255i | ||||
\(753\) | 4.93051 | + | 1.70647i | 0.179678 | + | 0.0621871i | ||||
\(754\) | 13.3670 | + | 25.9283i | 0.486797 | + | 0.944254i | ||||
\(755\) | 12.9791 | − | 14.9787i | 0.472358 | − | 0.545131i | ||||
\(756\) | 1.34702 | + | 1.20267i | 0.0489907 | + | 0.0437407i | ||||
\(757\) | 21.1386 | − | 9.65368i | 0.768296 | − | 0.350869i | 0.00759472 | − | 0.999971i | \(-0.497583\pi\) |
0.760701 | + | 0.649102i | \(0.224855\pi\) | |||||||
\(758\) | −4.78032 | − | 2.75992i | −0.173629 | − | 0.100245i | ||||
\(759\) | −1.42508 | + | 0.186871i | −0.0517271 | + | 0.00678298i | ||||
\(760\) | 6.58745 | + | 11.4098i | 0.238952 | + | 0.413877i | ||||
\(761\) | −3.46045 | + | 36.2395i | −0.125441 | + | 1.31368i | 0.685293 | + | 0.728267i | \(0.259674\pi\) |
−0.810734 | + | 0.585414i | \(0.800932\pi\) | |||||||
\(762\) | −7.78796 | − | 26.5233i | −0.282128 | − | 0.960839i | ||||
\(763\) | 21.4885 | + | 3.41589i | 0.777935 | + | 0.123663i | ||||
\(764\) | 5.90040 | − | 9.18120i | 0.213469 | − | 0.332164i | ||||
\(765\) | 8.17236 | − | 1.57509i | 0.295472 | − | 0.0569476i | ||||
\(766\) | −14.6999 | + | 11.5602i | −0.531131 | + | 0.417686i | ||||
\(767\) | −20.0166 | − | 82.5097i | −0.722759 | − | 2.97925i | ||||
\(768\) | 14.6733 | − | 0.698975i | 0.529477 | − | 0.0252221i | ||||
\(769\) | 5.92206 | − | 41.1888i | 0.213555 | − | 1.48531i | −0.547601 | − | 0.836739i | \(-0.684459\pi\) |
0.761156 | − | 0.648568i | \(-0.224632\pi\) | |||||||
\(770\) | −3.14818 | − | 4.12791i | −0.113453 | − | 0.148759i | ||||
\(771\) | −3.20876 | + | 7.02621i | −0.115561 | + | 0.253043i | ||||
\(772\) | −6.73284 | − | 5.29476i | −0.242320 | − | 0.190563i | ||||
\(773\) | −6.78871 | − | 3.49982i | −0.244173 | − | 0.125880i | 0.331797 | − | 0.943351i | \(-0.392345\pi\) |
−0.575970 | + | 0.817471i | \(0.695375\pi\) | |||||||
\(774\) | 17.2295 | − | 4.17983i | 0.619301 | − | 0.150241i | ||||
\(775\) | −29.3564 | + | 73.3288i | −1.05451 | + | 2.63405i | ||||
\(776\) | 16.2142 | + | 18.7122i | 0.582055 | + | 0.671728i | ||||
\(777\) | −2.24284 | + | 3.75486i | −0.0804614 | + | 0.134705i | ||||
\(778\) | −27.1440 | − | 23.5204i | −0.973159 | − | 0.843247i | ||||
\(779\) | 9.53842 | + | 2.31400i | 0.341749 | + | 0.0829075i | ||||
\(780\) | 9.57523 | − | 13.4465i | 0.342848 | − | 0.481463i | ||||
\(781\) | 1.52368 | − | 0.879700i | 0.0545217 | − | 0.0314781i | ||||
\(782\) | −5.88914 | − | 15.2565i | −0.210595 | − | 0.545573i | ||||
\(783\) | − | 2.94380i | − | 0.105203i | ||||||
\(784\) | −34.2794 | − | 1.01805i | −1.22426 | − | 0.0363591i | ||||
\(785\) | −74.4720 | + | 21.8670i | −2.65802 | + | 0.780465i | ||||
\(786\) | −4.26818 | − | 12.3321i | −0.152241 | − | 0.439871i | ||||
\(787\) | 0.426486 | − | 8.95303i | 0.0152026 | − | 0.319141i | −0.978438 | − | 0.206541i | \(-0.933779\pi\) |
0.993640 | − | 0.112600i | \(-0.0359178\pi\) | |||||||
\(788\) | 4.83475 | − | 13.9691i | 0.172231 | − | 0.497628i | ||||
\(789\) | 18.7314 | + | 7.49892i | 0.666855 | + | 0.266969i | ||||
\(790\) | −13.7822 | + | 46.9379i | −0.490349 | + | 1.66998i | ||||
\(791\) | 20.6651 | − | 14.2580i | 0.734766 | − | 0.506957i | ||||
\(792\) | −0.640100 | − | 0.0920325i | −0.0227450 | − | 0.00327023i | ||||
\(793\) | −10.0778 | + | 7.17634i | −0.357872 | + | 0.254839i | ||||
\(794\) | 1.80278 | + | 18.8795i | 0.0639781 | + | 0.670009i | ||||
\(795\) | −24.9009 | + | 9.96883i | −0.883145 | + | 0.353558i | ||||
\(796\) | 0.887783 | + | 18.6369i | 0.0314666 | + | 0.660566i | ||||
\(797\) | 6.73895 | + | 1.97873i | 0.238706 | + | 0.0700903i | 0.398897 | − | 0.916996i | \(-0.369393\pi\) |
−0.160192 | + | 0.987086i | \(0.551211\pi\) | |||||||
\(798\) | 6.22178 | + | 2.25735i | 0.220248 | + | 0.0799092i | ||||
\(799\) | −13.2498 | + | 11.4810i | −0.468745 | + | 0.406170i | ||||
\(800\) | −36.1924 | + | 18.6585i | −1.27959 | + | 0.659677i | ||||
\(801\) | 3.12135 | + | 0.601590i | 0.110287 | + | 0.0212561i | ||||
\(802\) | 28.0441 | − | 29.4118i | 0.990271 | − | 1.03857i | ||||
\(803\) | −1.37796 | − | 0.131580i | −0.0486273 | − | 0.00464334i | ||||
\(804\) | 2.06290 | 0.0727527 | ||||||||
\(805\) | 6.19586 | − | 50.3425i | 0.218375 | − | 1.77434i | ||||
\(806\) | −71.2856 | −2.51093 | ||||||||
\(807\) | −0.898638 | − | 0.0858095i | −0.0316336 | − | 0.00302064i | ||||
\(808\) | 19.8713 | − | 20.8404i | 0.699071 | − | 0.733164i | ||||
\(809\) | −24.9272 | − | 4.80432i | −0.876392 | − | 0.168911i | −0.268835 | − | 0.963186i | \(-0.586639\pi\) |
−0.607558 | + | 0.794276i | \(0.707851\pi\) | |||||||
\(810\) | −5.81942 | + | 3.00012i | −0.204474 | + | 0.105414i | ||||
\(811\) | −13.3427 | + | 11.5615i | −0.468526 | + | 0.405980i | −0.856869 | − | 0.515535i | \(-0.827593\pi\) |
0.388343 | + | 0.921515i | \(0.373048\pi\) | |||||||
\(812\) | −3.42115 | − | 4.06872i | −0.120059 | − | 0.142784i | ||||
\(813\) | 25.9567 | + | 7.62158i | 0.910342 | + | 0.267301i | ||||
\(814\) | 0.0386093 | + | 0.810508i | 0.00135325 | + | 0.0284083i | ||||
\(815\) | −2.12882 | + | 0.852250i | −0.0745692 | + | 0.0298530i | ||||
\(816\) | −0.969586 | − | 10.1540i | −0.0339423 | − | 0.355460i | ||||
\(817\) | 13.4678 | − | 9.59036i | 0.471178 | − | 0.335524i | ||||
\(818\) | 4.04849 | + | 0.582085i | 0.141552 | + | 0.0203521i | ||||
\(819\) | 1.28489 | + | 15.9558i | 0.0448977 | + | 0.557540i | ||||
\(820\) | −4.93959 | + | 16.8227i | −0.172498 | + | 0.587474i | ||||
\(821\) | 25.0084 | + | 10.0119i | 0.872799 | + | 0.349416i | 0.764439 | − | 0.644696i | \(-0.223016\pi\) |
0.108360 | + | 0.994112i | \(0.465440\pi\) | |||||||
\(822\) | 9.98703 | − | 28.8556i | 0.348338 | − | 1.00646i | ||||
\(823\) | −0.664130 | + | 13.9418i | −0.0231501 | + | 0.485981i | 0.957286 | + | 0.289143i | \(0.0933703\pi\) |
−0.980436 | + | 0.196838i | \(0.936933\pi\) | |||||||
\(824\) | 0.794625 | + | 2.29592i | 0.0276821 | + | 0.0799821i | ||||
\(825\) | 3.15730 | − | 0.927068i | 0.109923 | − | 0.0322764i | ||||
\(826\) | 27.0591 | + | 54.4573i | 0.941507 | + | 1.89481i | ||||
\(827\) | − | 26.1987i | − | 0.911018i | −0.890231 | − | 0.455509i | \(-0.849457\pi\) | ||
0.890231 | − | 0.455509i | \(-0.150543\pi\) | |||||||
\(828\) | 1.99131 | + | 2.59789i | 0.0692028 | + | 0.0902829i | ||||
\(829\) | −43.0802 | + | 24.8724i | −1.49624 | + | 0.863853i | −0.999991 | − | 0.00432839i | \(-0.998622\pi\) |
−0.496247 | + | 0.868181i | \(0.665289\pi\) | |||||||
\(830\) | 7.79832 | − | 10.9512i | 0.270684 | − | 0.380122i | ||||
\(831\) | −20.8258 | − | 5.05229i | −0.722439 | − | 0.175262i | ||||
\(832\) | 17.0301 | + | 14.7566i | 0.590412 | + | 0.511595i | ||||
\(833\) | 0.261004 | + | 14.5717i | 0.00904326 | + | 0.504878i | ||||
\(834\) | 7.32472 | + | 8.45318i | 0.253634 | + | 0.292710i | ||||
\(835\) | 25.7893 | − | 64.4185i | 0.892474 | − | 2.22929i | ||||
\(836\) | 0.303616 | − | 0.0736564i | 0.0105008 | − | 0.00254746i | ||||
\(837\) | 6.39408 | + | 3.29638i | 0.221012 | + | 0.113940i | ||||
\(838\) | 7.07456 | + | 5.56349i | 0.244386 | + | 0.192188i | ||||
\(839\) | 4.34427 | − | 9.51262i | 0.149981 | − | 0.328412i | −0.819698 | − | 0.572796i | \(-0.805859\pi\) |
0.969678 | + | 0.244384i | \(0.0785859\pi\) | |||||||
\(840\) | 8.79558 | − | 21.0588i | 0.303476 | − | 0.726597i | ||||
\(841\) | 2.89383 | − | 20.1271i | 0.0997874 | − | 0.694037i | ||||
\(842\) | 20.1327 | − | 0.959040i | 0.693820 | − | 0.0330507i | ||||
\(843\) | −0.796009 | − | 3.28119i | −0.0274160 | − | 0.113010i | ||||
\(844\) | 9.09602 | − | 7.15319i | 0.313098 | − | 0.246223i | ||||
\(845\) | 92.6571 | − | 17.8582i | 3.18750 | − | 0.614340i | ||||
\(846\) | 7.45646 | − | 11.6025i | 0.256358 | − | 0.398901i | ||||
\(847\) | −26.9542 | + | 10.3293i | −0.926158 | + | 0.354919i | ||||
\(848\) | 9.26130 | + | 31.5411i | 0.318034 | + | 1.08313i | ||||
\(849\) | 0.487809 | − | 5.10856i | 0.0167415 | − | 0.175325i | ||||
\(850\) | 18.7206 | + | 32.4251i | 0.642112 | + | 1.11217i | ||||
\(851\) | −5.26572 | + | 5.92669i | −0.180507 | + | 0.203164i | ||||
\(852\) | −3.47006 | − | 2.00344i | −0.118882 | − | 0.0686367i | ||||
\(853\) | 4.35960 | − | 1.99096i | 0.149270 | − | 0.0681692i | −0.339379 | − | 0.940650i | \(-0.610217\pi\) |
0.488649 | + | 0.872480i | \(0.337490\pi\) | |||||||
\(854\) | 5.90146 | − | 6.60979i | 0.201944 | − | 0.226182i | ||||
\(855\) | −3.99836 | + | 4.61436i | −0.136741 | + | 0.157808i | ||||
\(856\) | 7.97056 | + | 15.4607i | 0.272428 | + | 0.528437i | ||||
\(857\) | 23.6346 | + | 8.18002i | 0.807343 | + | 0.279424i | 0.699398 | − | 0.714733i | \(-0.253452\pi\) |
0.107945 | + | 0.994157i | \(0.465573\pi\) | |||||||
\(858\) | 1.83579 | + | 2.33439i | 0.0626727 | + | 0.0796948i | ||||
\(859\) | −18.1182 | − | 19.0018i | −0.618184 | − | 0.648333i | 0.337984 | − | 0.941152i | \(-0.390255\pi\) |
−0.956168 | + | 0.292819i | \(0.905407\pi\) | |||||||
\(860\) | 15.9673 | + | 24.8457i | 0.544482 | + | 0.847230i | ||||
\(861\) | −6.83248 | − | 15.5686i | −0.232850 | − | 0.530577i | ||||
\(862\) | −6.94613 | − | 3.17219i | −0.236586 | − | 0.108045i | ||||
\(863\) | −31.9910 | − | 44.9250i | −1.08899 | − | 1.52927i | −0.825332 | − | 0.564648i | \(-0.809012\pi\) |
−0.263654 | − | 0.964617i | \(-0.584928\pi\) | |||||||
\(864\) | 1.37831 | + | 3.44285i | 0.0468911 | + | 0.117128i | ||||
\(865\) | 39.8328 | − | 77.2648i | 1.35435 | − | 2.62708i | ||||
\(866\) | −19.1977 | + | 18.3050i | −0.652364 | + | 0.622028i | ||||
\(867\) | 12.5364 | − | 1.80246i | 0.425757 | − | 0.0612146i | ||||
\(868\) | 12.6684 | − | 2.87488i | 0.429992 | − | 0.0975798i | ||||
\(869\) | −1.88377 | − | 1.21062i | −0.0639025 | − | 0.0410676i | ||||
\(870\) | 18.2137 | − | 6.30384i | 0.617504 | − | 0.213720i | ||||
\(871\) | 13.2346 | + | 12.6191i | 0.448437 | + | 0.427583i | ||||
\(872\) | 14.4551 | + | 10.2934i | 0.489512 | + | 0.348580i | ||||
\(873\) | −5.73723 | + | 9.93717i | −0.194176 | + | 0.336322i | ||||
\(874\) | 10.3147 | + | 6.12714i | 0.348899 | + | 0.207254i | ||||
\(875\) | 2.07122 | + | 63.2114i | 0.0700201 | + | 2.13693i | ||||
\(876\) | 1.30958 | + | 2.86758i | 0.0442467 | + | 0.0968867i | ||||
\(877\) | 0.199560 | − | 0.822597i | 0.00673866 | − | 0.0277771i | −0.968343 | − | 0.249623i | \(-0.919693\pi\) |
0.975082 | + | 0.221846i | \(0.0712083\pi\) | |||||||
\(878\) | 5.21443 | − | 27.0550i | 0.175978 | − | 0.913063i | ||||
\(879\) | −2.42304 | − | 0.115424i | −0.0817272 | − | 0.00389315i | ||||
\(880\) | −1.11078 | − | 5.76328i | −0.0374444 | − | 0.194280i | ||||
\(881\) | 3.85453 | + | 26.8089i | 0.129863 | + | 0.903214i | 0.945725 | + | 0.324968i | \(0.105354\pi\) |
−0.815862 | + | 0.578246i | \(0.803737\pi\) | |||||||
\(882\) | −3.42652 | − | 10.9409i | −0.115377 | − | 0.368398i | ||||
\(883\) | 2.38581 | − | 1.53327i | 0.0802889 | − | 0.0515985i | −0.499880 | − | 0.866094i | \(-0.666623\pi\) |
0.580169 | + | 0.814496i | \(0.302986\pi\) | |||||||
\(884\) | −5.31462 | + | 6.75809i | −0.178750 | + | 0.227299i | ||||
\(885\) | −55.8427 | + | 5.33233i | −1.87713 | + | 0.179244i | ||||
\(886\) | −15.7320 | + | 1.50222i | −0.528526 | + | 0.0504682i | ||||
\(887\) | −14.8678 | + | 18.9059i | −0.499210 | + | 0.634798i | −0.968728 | − | 0.248126i | \(-0.920185\pi\) |
0.469518 | + | 0.882923i | \(0.344428\pi\) | |||||||
\(888\) | −3.00083 | + | 1.92852i | −0.100701 | + | 0.0647168i | ||||
\(889\) | −11.1707 | + | 43.2345i | −0.374653 | + | 1.45004i | ||||
\(890\) | 2.96190 | + | 20.6005i | 0.0992832 | + | 0.690530i | ||||
\(891\) | −0.0567173 | − | 0.294277i | −0.00190010 | − | 0.00985867i | ||||
\(892\) | 6.12062 | + | 0.291561i | 0.204933 | + | 0.00976218i | ||||
\(893\) | 2.43409 | − | 12.6293i | 0.0814538 | − | 0.422622i | ||||
\(894\) | −0.886121 | + | 3.65264i | −0.0296363 | + | 0.122163i | ||||
\(895\) | −24.9666 | − | 54.6692i | −0.834541 | − | 1.82739i | ||||
\(896\) | −31.5406 | − | 16.8576i | −1.05370 | − | 0.563172i | ||||
\(897\) | −3.11648 | + | 28.8481i | −0.104056 | + | 0.963210i | ||||
\(898\) | −7.41518 | + | 12.8435i | −0.247448 | + | 0.428592i | ||||
\(899\) | −17.2503 | − | 12.2839i | −0.575330 | − | 0.409691i | ||||
\(900\) | −5.42370 | − | 5.17149i | −0.180790 | − | 0.172383i | ||||
\(901\) | 13.2015 | − | 4.56907i | 0.439804 | − | 0.152218i | ||||
\(902\) | −2.65353 | − | 1.70532i | −0.0883529 | − | 0.0567809i | ||||
\(903\) | −27.3567 | − | 8.47574i | −0.910374 | − | 0.282055i | ||||
\(904\) | 20.2679 | − | 2.91408i | 0.674100 | − | 0.0969209i | ||||
\(905\) | −58.4418 | + | 55.7241i | −1.94267 | + | 1.85233i | ||||
\(906\) | 3.72102 | − | 7.21776i | 0.123622 | − | 0.239794i | ||||
\(907\) | 5.95226 | + | 14.8680i | 0.197641 | + | 0.493684i | 0.993771 | − | 0.111442i | \(-0.0355469\pi\) |
−0.796130 | + | 0.605126i | \(0.793123\pi\) | |||||||
\(908\) | −6.88118 | − | 9.66327i | −0.228360 | − | 0.320687i | ||||
\(909\) | 12.1389 | + | 5.54365i | 0.402622 | + | 0.183871i | ||||
\(910\) | −95.9694 | + | 42.1174i | −3.18136 | + | 1.39618i | ||||
\(911\) | 4.99605 | + | 7.77401i | 0.165527 | + | 0.257564i | 0.914101 | − | 0.405486i | \(-0.132898\pi\) |
−0.748575 | + | 0.663051i | \(0.769261\pi\) | |||||||
\(912\) | 5.16382 | + | 5.41566i | 0.170991 | + | 0.179330i | ||||
\(913\) | 0.380407 | + | 0.483727i | 0.0125896 | + | 0.0160090i | ||||
\(914\) | −49.8493 | − | 17.2530i | −1.64887 | − | 0.570679i | ||||
\(915\) | 3.74565 | + | 7.26554i | 0.123827 | + | 0.240191i | ||||
\(916\) | 0.245185 | − | 0.282958i | 0.00810113 | − | 0.00934921i | ||||
\(917\) | −4.29635 | + | 20.6381i | −0.141878 | + | 0.681530i | ||||
\(918\) | 3.10183 | − | 1.41656i | 0.102376 | − | 0.0467534i | ||||
\(919\) | 48.1140 | + | 27.7786i | 1.58713 | + | 0.916332i | 0.993777 | + | 0.111392i | \(0.0355310\pi\) |
0.593357 | + | 0.804940i | \(0.297802\pi\) | |||||||
\(920\) | 22.7955 | − | 34.5207i | 0.751546 | − | 1.13811i | ||||
\(921\) | −5.29863 | − | 9.17749i | −0.174596 | − | 0.302409i | ||||
\(922\) | −3.15273 | + | 33.0169i | −0.103830 | + | 1.08735i | ||||
\(923\) | −10.0068 | − | 34.0802i | −0.329379 | − | 1.12176i | ||||
\(924\) | −0.420386 | − | 0.340816i | −0.0138297 | − | 0.0112120i | ||||
\(925\) | 9.81312 | − | 15.2695i | 0.322653 | − | 0.502058i | ||||
\(926\) | −21.9524 | + | 4.23098i | −0.721401 | + | 0.139039i | ||||
\(927\) | −0.885038 | + | 0.696001i | −0.0290685 | + | 0.0228597i | ||||
\(928\) | −2.57380 | − | 10.6094i | −0.0844892 | − | 0.348269i | ||||
\(929\) | −34.5671 | + | 1.64663i | −1.13411 | + | 0.0540242i | −0.606225 | − | 0.795293i | \(-0.707317\pi\) |
−0.527883 | + | 0.849317i | \(0.677014\pi\) | |||||||
\(930\) | −6.70295 | + | 46.6200i | −0.219798 | + | 1.52873i | ||||
\(931\) | −6.75858 | − | 8.28449i | −0.221504 | − | 0.271513i | ||||
\(932\) | −3.17078 | + | 6.94304i | −0.103862 | + | 0.227427i | ||||
\(933\) | −15.6510 | − | 12.3081i | −0.512392 | − | 0.402950i | ||||
\(934\) | −42.2181 | − | 21.7649i | −1.38142 | − | 0.712171i | ||||
\(935\) | −2.42397 | + | 0.588048i | −0.0792722 | + | 0.0192312i | ||||
\(936\) | −4.85217 | + | 12.1201i | −0.158598 | + | 0.396159i | ||||
\(937\) | 3.62414 | + | 4.18248i | 0.118396 | + | 0.136636i | 0.811853 | − | 0.583862i | \(-0.198459\pi\) |
−0.693458 | + | 0.720497i | \(0.743914\pi\) | |||||||
\(938\) | −11.2441 | − | 6.71626i | −0.367132 | − | 0.219294i | ||||
\(939\) | 20.4026 | + | 17.6790i | 0.665814 | + | 0.576931i | ||||
\(940\) | 22.3275 | + | 5.41658i | 0.728242 | + | 0.176670i | ||||
\(941\) | −27.6916 | + | 38.8874i | −0.902720 | + | 1.26769i | 0.0602768 | + | 0.998182i | \(0.480802\pi\) |
−0.962997 | + | 0.269512i | \(0.913138\pi\) | |||||||
\(942\) | −27.5402 | + | 15.9003i | −0.897308 | + | 0.518061i | ||||
\(943\) | −6.89341 | − | 30.0377i | −0.224480 | − | 0.978162i | ||||
\(944\) | 68.7506i | 2.23764i | ||||||||
\(945\) | 10.5557 | + | 0.660010i | 0.343378 | + | 0.0214701i | ||||
\(946\) | −5.09811 | + | 1.49694i | −0.165754 | + | 0.0486697i | ||||
\(947\) | 7.16812 | + | 20.7109i | 0.232933 | + | 0.673015i | 0.999523 | + | 0.0308786i | \(0.00983052\pi\) |
−0.766590 | + | 0.642136i | \(0.778048\pi\) | |||||||
\(948\) | −0.242652 | + | 5.09390i | −0.00788098 | + | 0.165442i | ||||
\(949\) | −9.13992 | + | 26.4081i | −0.296694 | + | 0.857242i | ||||
\(950\) | −25.4998 | − | 10.2086i | −0.827321 | − | 0.331210i | ||||
\(951\) | −2.31647 | + | 7.88917i | −0.0751167 | + | 0.255824i | ||||
\(952\) | −5.09767 | + | 10.7376i | −0.165216 | + | 0.348008i | ||||
\(953\) | 11.9515 | + | 1.71837i | 0.387147 | + | 0.0556633i | 0.333140 | − | 0.942877i | \(-0.391892\pi\) |
0.0540065 | + | 0.998541i | \(0.482801\pi\) | |||||||
\(954\) | −8.95184 | + | 6.37458i | −0.289827 | + | 0.206385i | ||||
\(955\) | −6.07604 | − | 63.6311i | −0.196616 | − | 2.05905i | ||||
\(956\) | 3.69070 | − | 1.47753i | 0.119366 | − | 0.0477869i | ||||
\(957\) | 0.0419785 | + | 0.881238i | 0.00135697 | + | 0.0284864i | ||||
\(958\) | −16.6738 | − | 4.89586i | −0.538705 | − | 0.158178i | ||||
\(959\) | −37.7535 | + | 31.7447i | −1.21912 | + | 1.02509i | ||||
\(960\) | 11.2520 | − | 9.74993i | 0.363157 | − | 0.314678i | ||||
\(961\) | 18.4437 | − | 9.50840i | 0.594959 | − | 0.306723i | ||||
\(962\) | 16.0852 | + | 3.10016i | 0.518606 | + | 0.0999531i | ||||
\(963\) | −5.56280 | + | 5.83409i | −0.179259 | + | 0.188001i | ||||
\(964\) | 0.701248 | + | 0.0669611i | 0.0225857 | + | 0.00215667i | ||||
\(965\) | −50.1665 | −1.61492 | ||||||||
\(966\) | −2.39582 | − | 20.6433i | −0.0770844 | − | 0.664188i | ||||
\(967\) | −7.60487 | −0.244556 | −0.122278 | − | 0.992496i | \(-0.539020\pi\) | ||||
−0.122278 | + | 0.992496i | \(0.539020\pi\) | |||||||
\(968\) | −23.4356 | − | 2.23782i | −0.753247 | − | 0.0719264i | ||||
\(969\) | 2.19445 | − | 2.30147i | 0.0704959 | − | 0.0739340i | ||||
\(970\) | −73.7684 | − | 14.2177i | −2.36856 | − | 0.456503i | ||||
\(971\) | −5.81717 | + | 2.99896i | −0.186682 | + | 0.0962413i | −0.549034 | − | 0.835800i | \(-0.685004\pi\) |
0.362352 | + | 0.932041i | \(0.381974\pi\) | |||||||
\(972\) | −0.515818 | + | 0.446959i | −0.0165449 | + | 0.0143362i | ||||
\(973\) | −3.15572 | − | 17.7907i | −0.101168 | − | 0.570343i | ||||
\(974\) | 55.7694 | + | 16.3754i | 1.78697 | + | 0.524700i | ||||
\(975\) | −3.16091 | − | 66.3557i | −0.101230 | − | 2.12508i | ||||
\(976\) | 9.30049 | − | 3.72336i | 0.297702 | − | 0.119182i | ||||
\(977\) | 0.738308 | + | 7.73192i | 0.0236206 | + | 0.247366i | 0.999569 | + | 0.0293635i | \(0.00934802\pi\) |
−0.975948 | + | 0.218002i | \(0.930046\pi\) | |||||||
\(978\) | −0.765306 | + | 0.544972i | −0.0244718 | + | 0.0174263i | ||||
\(979\) | −0.942966 | − | 0.135578i | −0.0301373 | − | 0.00433309i | ||||
\(980\) | 15.3564 | − | 11.3552i | 0.490544 | − | 0.362728i | ||||
\(981\) | −2.31693 | + | 7.89073i | −0.0739738 | + | 0.251932i | ||||
\(982\) | −40.9131 | − | 16.3791i | −1.30559 | − | 0.522679i | ||||
\(983\) | 2.32691 | − | 6.72315i | 0.0742168 | − | 0.214435i | −0.901790 | − | 0.432174i | \(-0.857747\pi\) |
0.976007 | + | 0.217738i | \(0.0698680\pi\) | |||||||
\(984\) | 0.659788 | − | 13.8506i | 0.0210333 | − | 0.441543i | ||||
\(985\) | −28.3167 | − | 81.8156i | −0.902244 | − | 2.60686i | ||||
\(986\) | −9.63170 | + | 2.82812i | −0.306736 | + | 0.0900658i | ||||
\(987\) | −19.9520 | + | 9.91386i | −0.635078 | + | 0.315562i | ||||
\(988\) | − | 6.30722i | − | 0.200659i | ||||||
\(989\) | −45.8439 | − | 24.3592i | −1.45775 | − | 0.774577i | ||||
\(990\) | 1.69929 | − | 0.981083i | 0.0540068 | − | 0.0311809i | ||||
\(991\) | −20.4890 | + | 28.7728i | −0.650856 | + | 0.913999i | −0.999732 | − | 0.0231700i | \(-0.992624\pi\) |
0.348876 | + | 0.937169i | \(0.386563\pi\) | |||||||
\(992\) | 25.9261 | + | 6.28961i | 0.823155 | + | 0.199695i | ||||
\(993\) | 19.1447 | + | 16.5890i | 0.607540 | + | 0.526436i | ||||
\(994\) | 12.3913 | + | 22.2176i | 0.393028 | + | 0.704700i | ||||
\(995\) | 71.5619 | + | 82.5868i | 2.26866 | + | 2.61818i | ||||
\(996\) | 0.520882 | − | 1.30110i | 0.0165048 | − | 0.0412269i | ||||
\(997\) | 58.2042 | − | 14.1202i | 1.84335 | − | 0.447191i | 0.846924 | − | 0.531713i | \(-0.178452\pi\) |
0.996422 | + | 0.0845224i | \(0.0269365\pi\) | |||||||
\(998\) | −14.2152 | − | 7.32846i | −0.449975 | − | 0.231978i | ||||
\(999\) | −1.29943 | − | 1.02188i | −0.0411121 | − | 0.0323309i |
(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 | 483.2.bf.a.19.25 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.157.8 | yes | 640 | |
23.17 | odd | 22 | inner | 483.2.bf.a.40.8 | yes | 640 | |
161.17 | even | 66 | inner | 483.2.bf.a.178.25 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.25 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.40.8 | yes | 640 | 23.17 | odd | 22 | inner | |
483.2.bf.a.157.8 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.178.25 | yes | 640 | 161.17 | even | 66 | inner |