Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Root | \(0.142315 + 0.989821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.127 |
Dual form | 322.2.i.b.71.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | + | 0.540641i | −0.594856 | + | 0.382291i | ||||
\(3\) | −0.317178 | + | 2.20602i | −0.183123 | + | 1.27365i | 0.666200 | + | 0.745773i | \(0.267920\pi\) |
−0.849323 | + | 0.527874i | \(0.822989\pi\) | |||||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | 1.95204 | − | 0.573170i | 0.872977 | − | 0.256329i | 0.185596 | − | 0.982626i | \(-0.440578\pi\) |
0.687381 | + | 0.726297i | \(0.258760\pi\) | |||||||
\(6\) | −0.925839 | − | 2.02730i | −0.377972 | − | 0.827643i | ||||
\(7\) | 0.654861 | + | 0.755750i | 0.247514 | + | 0.285646i | ||||
\(8\) | 0.142315 | + | 0.989821i | 0.0503159 | + | 0.349955i | ||||
\(9\) | −1.88745 | − | 0.554206i | −0.629151 | − | 0.184735i | ||||
\(10\) | −1.33228 | + | 1.53753i | −0.421303 | + | 0.486210i | ||||
\(11\) | 3.96815 | + | 2.55018i | 1.19644 | + | 0.768907i | 0.978337 | − | 0.207018i | \(-0.0663758\pi\) |
0.218106 | + | 0.975925i | \(0.430012\pi\) | |||||||
\(12\) | 1.87491 | + | 1.20493i | 0.541239 | + | 0.347833i | ||||
\(13\) | 0.898983 | − | 1.03748i | 0.249333 | − | 0.287746i | −0.617262 | − | 0.786758i | \(-0.711758\pi\) |
0.866595 | + | 0.499012i | \(0.166304\pi\) | |||||||
\(14\) | −0.959493 | − | 0.281733i | −0.256435 | − | 0.0752962i | ||||
\(15\) | 0.645282 | + | 4.48803i | 0.166611 | + | 1.15881i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −0.290980 | − | 0.637158i | −0.0705731 | − | 0.154534i | 0.871058 | − | 0.491180i | \(-0.163434\pi\) |
−0.941631 | + | 0.336647i | \(0.890707\pi\) | |||||||
\(18\) | 1.88745 | − | 0.554206i | 0.444877 | − | 0.130628i | ||||
\(19\) | 0.0440780 | − | 0.0965173i | 0.0101122 | − | 0.0221426i | −0.904509 | − | 0.426456i | \(-0.859762\pi\) |
0.914621 | + | 0.404313i | \(0.132489\pi\) | |||||||
\(20\) | 0.289532 | − | 2.01374i | 0.0647413 | − | 0.450285i | ||||
\(21\) | −1.87491 | + | 1.20493i | −0.409138 | + | 0.262937i | ||||
\(22\) | −4.71695 | −1.00566 | ||||||||
\(23\) | −4.71872 | − | 0.856574i | −0.983920 | − | 0.178608i | ||||
\(24\) | −2.22871 | −0.454933 | ||||||||
\(25\) | −0.724345 | + | 0.465508i | −0.144869 | + | 0.0931017i | ||||
\(26\) | −0.195368 | + | 1.35881i | −0.0383148 | + | 0.266485i | ||||
\(27\) | −0.956265 | + | 2.09393i | −0.184033 | + | 0.402977i | ||||
\(28\) | 0.959493 | − | 0.281733i | 0.181327 | − | 0.0532424i | ||||
\(29\) | −0.692588 | − | 1.51656i | −0.128610 | − | 0.281617i | 0.834362 | − | 0.551216i | \(-0.185836\pi\) |
−0.962973 | + | 0.269599i | \(0.913109\pi\) | |||||||
\(30\) | −2.96926 | − | 3.42671i | −0.542110 | − | 0.625628i | ||||
\(31\) | 0.731577 | + | 5.08823i | 0.131395 | + | 0.913873i | 0.943738 | + | 0.330693i | \(0.107283\pi\) |
−0.812343 | + | 0.583180i | \(0.801808\pi\) | |||||||
\(32\) | 0.959493 | + | 0.281733i | 0.169616 | + | 0.0498038i | ||||
\(33\) | −6.88436 | + | 7.94497i | −1.19841 | + | 1.38304i | ||||
\(34\) | 0.589262 | + | 0.378696i | 0.101058 | + | 0.0649458i | ||||
\(35\) | 1.71148 | + | 1.09990i | 0.289294 | + | 0.185918i | ||||
\(36\) | −1.28820 | + | 1.48666i | −0.214700 | + | 0.247777i | ||||
\(37\) | −8.95075 | − | 2.62818i | −1.47149 | − | 0.432070i | −0.554910 | − | 0.831911i | \(-0.687247\pi\) |
−0.916585 | + | 0.399841i | \(0.869065\pi\) | |||||||
\(38\) | 0.0151004 | + | 0.105026i | 0.00244961 | + | 0.0170374i | ||||
\(39\) | 2.00357 | + | 2.31224i | 0.320828 | + | 0.370255i | ||||
\(40\) | 0.845139 | + | 1.85060i | 0.133628 | + | 0.292605i | ||||
\(41\) | 6.87574 | − | 2.01890i | 1.07381 | − | 0.315299i | 0.303411 | − | 0.952860i | \(-0.401875\pi\) |
0.770400 | + | 0.637561i | \(0.220056\pi\) | |||||||
\(42\) | 0.925839 | − | 2.02730i | 0.142860 | − | 0.312820i | ||||
\(43\) | 0.0826345 | − | 0.574736i | 0.0126016 | − | 0.0876464i | −0.982550 | − | 0.185998i | \(-0.940448\pi\) |
0.995152 | + | 0.0983521i | \(0.0313571\pi\) | |||||||
\(44\) | 3.96815 | − | 2.55018i | 0.598222 | − | 0.384454i | ||||
\(45\) | −4.00203 | −0.596588 | ||||||||
\(46\) | 4.43274 | − | 1.83053i | 0.653571 | − | 0.269898i | ||||
\(47\) | 2.84232 | 0.414595 | 0.207298 | − | 0.978278i | \(-0.433533\pi\) | ||||
0.207298 | + | 0.978278i | \(0.433533\pi\) | |||||||
\(48\) | 1.87491 | − | 1.20493i | 0.270620 | − | 0.173917i | ||||
\(49\) | −0.142315 | + | 0.989821i | −0.0203307 | + | 0.141403i | ||||
\(50\) | 0.357685 | − | 0.783221i | 0.0505843 | − | 0.110764i | ||||
\(51\) | 1.49788 | − | 0.439817i | 0.209745 | − | 0.0615866i | ||||
\(52\) | −0.570276 | − | 1.24873i | −0.0790830 | − | 0.173168i | ||||
\(53\) | −3.27120 | − | 3.77517i | −0.449334 | − | 0.518559i | 0.485214 | − | 0.874395i | \(-0.338742\pi\) |
−0.934548 | + | 0.355836i | \(0.884196\pi\) | |||||||
\(54\) | −0.327602 | − | 2.27852i | −0.0445809 | − | 0.310067i | ||||
\(55\) | 9.20766 | + | 2.70361i | 1.24156 | + | 0.364555i | ||||
\(56\) | −0.654861 | + | 0.755750i | −0.0875094 | + | 0.100991i | ||||
\(57\) | 0.198939 | + | 0.127850i | 0.0263501 | + | 0.0169342i | ||||
\(58\) | 1.40255 | + | 0.901367i | 0.184164 | + | 0.118355i | ||||
\(59\) | 9.39406 | − | 10.8413i | 1.22300 | − | 1.41142i | 0.341073 | − | 0.940037i | \(-0.389210\pi\) |
0.881929 | − | 0.471383i | \(-0.156245\pi\) | |||||||
\(60\) | 4.35052 | + | 1.27743i | 0.561649 | + | 0.164915i | ||||
\(61\) | 0.249697 | + | 1.73668i | 0.0319705 | + | 0.222359i | 0.999543 | − | 0.0302345i | \(-0.00962541\pi\) |
−0.967572 | + | 0.252594i | \(0.918716\pi\) | |||||||
\(62\) | −3.36635 | − | 3.88497i | −0.427526 | − | 0.493392i | ||||
\(63\) | −0.817178 | − | 1.78937i | −0.102955 | − | 0.225439i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | 1.16020 | − | 2.54047i | 0.143904 | − | 0.315107i | ||||
\(66\) | 1.49611 | − | 10.4057i | 0.184159 | − | 1.28085i | ||||
\(67\) | 4.16820 | − | 2.67874i | 0.509226 | − | 0.327260i | −0.260671 | − | 0.965428i | \(-0.583944\pi\) |
0.769897 | + | 0.638168i | \(0.220307\pi\) | |||||||
\(68\) | −0.700457 | −0.0849429 | ||||||||
\(69\) | 3.38629 | − | 10.1379i | 0.407662 | − | 1.22046i | ||||
\(70\) | −2.03445 | −0.243163 | ||||||||
\(71\) | 8.96805 | − | 5.76342i | 1.06431 | − | 0.683992i | 0.113430 | − | 0.993546i | \(-0.463816\pi\) |
0.950882 | + | 0.309554i | \(0.100180\pi\) | |||||||
\(72\) | 0.279953 | − | 1.94711i | 0.0329927 | − | 0.229470i | ||||
\(73\) | −2.72743 | + | 5.97224i | −0.319221 | + | 0.698998i | −0.999421 | − | 0.0340297i | \(-0.989166\pi\) |
0.680199 | + | 0.733027i | \(0.261893\pi\) | |||||||
\(74\) | 8.95075 | − | 2.62818i | 1.04050 | − | 0.305519i | ||||
\(75\) | −0.797176 | − | 1.74557i | −0.0920499 | − | 0.201561i | ||||
\(76\) | −0.0694846 | − | 0.0801894i | −0.00797042 | − | 0.00919836i | ||||
\(77\) | 0.671292 | + | 4.66894i | 0.0765009 | + | 0.532075i | ||||
\(78\) | −2.93560 | − | 0.861971i | −0.332392 | − | 0.0975990i | ||||
\(79\) | −10.4541 | + | 12.0647i | −1.17618 | + | 1.35738i | −0.255619 | + | 0.966778i | \(0.582279\pi\) |
−0.920559 | + | 0.390604i | \(0.872266\pi\) | |||||||
\(80\) | −1.71148 | − | 1.09990i | −0.191350 | − | 0.122973i | ||||
\(81\) | −9.28053 | − | 5.96423i | −1.03117 | − | 0.662692i | ||||
\(82\) | −4.69274 | + | 5.41571i | −0.518227 | + | 0.598066i | ||||
\(83\) | 2.15218 | + | 0.631938i | 0.236233 | + | 0.0693642i | 0.397706 | − | 0.917513i | \(-0.369806\pi\) |
−0.161473 | + | 0.986877i | \(0.551625\pi\) | |||||||
\(84\) | 0.317178 | + | 2.20602i | 0.0346070 | + | 0.240697i | ||||
\(85\) | −0.933204 | − | 1.07697i | −0.101220 | − | 0.116814i | ||||
\(86\) | 0.241209 | + | 0.528174i | 0.0260102 | + | 0.0569545i | ||||
\(87\) | 3.56523 | − | 1.04685i | 0.382233 | − | 0.112234i | ||||
\(88\) | −1.95949 | + | 4.29069i | −0.208883 | + | 0.457389i | ||||
\(89\) | 1.90142 | − | 13.2247i | 0.201550 | − | 1.40181i | −0.598136 | − | 0.801394i | \(-0.704092\pi\) |
0.799686 | − | 0.600418i | \(-0.204999\pi\) | |||||||
\(90\) | 3.36672 | − | 2.16366i | 0.354884 | − | 0.228070i | ||||
\(91\) | 1.37279 | 0.143907 | ||||||||
\(92\) | −2.73939 | + | 3.93646i | −0.285601 | + | 0.410404i | ||||
\(93\) | −11.4568 | −1.18801 | ||||||||
\(94\) | −2.39111 | + | 1.53668i | −0.246625 | + | 0.158496i | ||||
\(95\) | 0.0307210 | − | 0.213669i | 0.00315191 | − | 0.0219220i | ||||
\(96\) | −0.925839 | + | 2.02730i | −0.0944930 | + | 0.206911i | ||||
\(97\) | 15.1451 | − | 4.44700i | 1.53775 | − | 0.451524i | 0.600338 | − | 0.799747i | \(-0.295033\pi\) |
0.937412 | + | 0.348223i | \(0.113215\pi\) | |||||||
\(98\) | −0.415415 | − | 0.909632i | −0.0419633 | − | 0.0918867i | ||||
\(99\) | −6.07638 | − | 7.01252i | −0.610699 | − | 0.704785i | ||||
\(100\) | 0.122537 | + | 0.852267i | 0.0122537 | + | 0.0852267i | ||||
\(101\) | 5.98816 | + | 1.75828i | 0.595844 | + | 0.174956i | 0.565729 | − | 0.824591i | \(-0.308595\pi\) |
0.0301143 | + | 0.999546i | \(0.490413\pi\) | |||||||
\(102\) | −1.02231 | + | 1.17981i | −0.101224 | + | 0.116819i | ||||
\(103\) | −9.92216 | − | 6.37659i | −0.977660 | − | 0.628304i | −0.0488285 | − | 0.998807i | \(-0.515549\pi\) |
−0.928831 | + | 0.370504i | \(0.879185\pi\) | |||||||
\(104\) | 1.15486 | + | 0.742184i | 0.113243 | + | 0.0727771i | ||||
\(105\) | −2.96926 | + | 3.42671i | −0.289770 | + | 0.334412i | ||||
\(106\) | 4.79292 | + | 1.40733i | 0.465530 | + | 0.136692i | ||||
\(107\) | 1.08998 | + | 7.58097i | 0.105372 | + | 0.732880i | 0.972180 | + | 0.234237i | \(0.0752591\pi\) |
−0.866807 | + | 0.498643i | \(0.833832\pi\) | |||||||
\(108\) | 1.50746 | + | 1.73970i | 0.145055 | + | 0.167402i | ||||
\(109\) | −6.84429 | − | 14.9869i | −0.655564 | − | 1.43549i | −0.886598 | − | 0.462540i | \(-0.846938\pi\) |
0.231034 | − | 0.972946i | \(-0.425789\pi\) | |||||||
\(110\) | −9.20766 | + | 2.70361i | −0.877916 | + | 0.257779i | ||||
\(111\) | 8.63680 | − | 18.9120i | 0.819769 | − | 1.79504i | ||||
\(112\) | 0.142315 | − | 0.989821i | 0.0134475 | − | 0.0935293i | ||||
\(113\) | 3.86492 | − | 2.48384i | 0.363582 | − | 0.233660i | −0.346076 | − | 0.938206i | \(-0.612486\pi\) |
0.709657 | + | 0.704547i | \(0.248850\pi\) | |||||||
\(114\) | −0.236479 | −0.0221483 | ||||||||
\(115\) | −9.70207 | + | 1.03256i | −0.904722 | + | 0.0962868i | ||||
\(116\) | −1.66722 | −0.154797 | ||||||||
\(117\) | −2.27177 | + | 1.45998i | −0.210025 | + | 0.134975i | ||||
\(118\) | −2.04152 | + | 14.1991i | −0.187937 | + | 1.30713i | ||||
\(119\) | 0.290980 | − | 0.637158i | 0.0266741 | − | 0.0584082i | ||||
\(120\) | −4.35052 | + | 1.27743i | −0.397146 | + | 0.116613i | ||||
\(121\) | 4.67327 | + | 10.2330i | 0.424843 | + | 0.930276i | ||||
\(122\) | −1.14898 | − | 1.32599i | −0.104024 | − | 0.120050i | ||||
\(123\) | 2.27290 | + | 15.8084i | 0.204941 | + | 1.42539i | ||||
\(124\) | 4.93232 | + | 1.44826i | 0.442936 | + | 0.130058i | ||||
\(125\) | −7.80853 | + | 9.01152i | −0.698416 | + | 0.806015i | ||||
\(126\) | 1.65486 | + | 1.06351i | 0.147427 | + | 0.0947454i | ||||
\(127\) | −11.6419 | − | 7.48182i | −1.03305 | − | 0.663904i | −0.0897952 | − | 0.995960i | \(-0.528621\pi\) |
−0.943260 | + | 0.332056i | \(0.892258\pi\) | |||||||
\(128\) | 0.654861 | − | 0.755750i | 0.0578821 | − | 0.0667995i | ||||
\(129\) | 1.24167 | + | 0.364587i | 0.109323 | + | 0.0321001i | ||||
\(130\) | 0.397465 | + | 2.76443i | 0.0348600 | + | 0.242457i | ||||
\(131\) | −5.18230 | − | 5.98069i | −0.452780 | − | 0.522535i | 0.482762 | − | 0.875751i | \(-0.339634\pi\) |
−0.935542 | + | 0.353216i | \(0.885088\pi\) | |||||||
\(132\) | 4.36714 | + | 9.56270i | 0.380110 | + | 0.832326i | ||||
\(133\) | 0.101808 | − | 0.0298935i | 0.00882786 | − | 0.00259209i | ||||
\(134\) | −2.05828 | + | 4.50700i | −0.177808 | + | 0.389345i | ||||
\(135\) | −0.666488 | + | 4.63552i | −0.0573621 | + | 0.398962i | ||||
\(136\) | 0.589262 | − | 0.378696i | 0.0505288 | − | 0.0324729i | ||||
\(137\) | 13.3217 | 1.13815 | 0.569073 | − | 0.822287i | \(-0.307302\pi\) | ||||
0.569073 | + | 0.822287i | \(0.307302\pi\) | |||||||
\(138\) | 2.63223 | + | 10.3593i | 0.224071 | + | 0.881844i | ||||
\(139\) | 7.90397 | 0.670406 | 0.335203 | − | 0.942146i | \(-0.391195\pi\) | ||||
0.335203 | + | 0.942146i | \(0.391195\pi\) | |||||||
\(140\) | 1.71148 | − | 1.09990i | 0.144647 | − | 0.0929589i | ||||
\(141\) | −0.901523 | + | 6.27023i | −0.0759219 | + | 0.528049i | ||||
\(142\) | −4.42847 | + | 9.69699i | −0.371629 | + | 0.813753i | ||||
\(143\) | 6.21307 | − | 1.82432i | 0.519563 | − | 0.152557i | ||||
\(144\) | 0.817178 | + | 1.78937i | 0.0680982 | + | 0.149114i | ||||
\(145\) | −2.22120 | − | 2.56340i | −0.184461 | − | 0.212879i | ||||
\(146\) | −0.934376 | − | 6.49873i | −0.0773295 | − | 0.537838i | ||||
\(147\) | −2.13843 | − | 0.627899i | −0.176375 | − | 0.0517883i | ||||
\(148\) | −6.10895 | + | 7.05010i | −0.502153 | + | 0.579515i | ||||
\(149\) | −0.661777 | − | 0.425299i | −0.0542149 | − | 0.0348418i | 0.513253 | − | 0.858238i | \(-0.328440\pi\) |
−0.567468 | + | 0.823396i | \(0.692077\pi\) | |||||||
\(150\) | 1.61435 | + | 1.03748i | 0.131811 | + | 0.0847101i | ||||
\(151\) | 1.46094 | − | 1.68602i | 0.118890 | − | 0.137206i | −0.693185 | − | 0.720760i | \(-0.743793\pi\) |
0.812074 | + | 0.583554i | \(0.198338\pi\) | |||||||
\(152\) | 0.101808 | + | 0.0298935i | 0.00825770 | + | 0.00242468i | ||||
\(153\) | 0.196095 | + | 1.36387i | 0.0158533 | + | 0.110262i | ||||
\(154\) | −3.08895 | − | 3.56484i | −0.248914 | − | 0.287263i | ||||
\(155\) | 4.34448 | + | 9.51309i | 0.348957 | + | 0.764110i | ||||
\(156\) | 2.93560 | − | 0.861971i | 0.235036 | − | 0.0690129i | ||||
\(157\) | −1.61440 | + | 3.53504i | −0.128843 | + | 0.282127i | −0.963049 | − | 0.269326i | \(-0.913199\pi\) |
0.834206 | + | 0.551453i | \(0.185926\pi\) | |||||||
\(158\) | 2.27189 | − | 15.8014i | 0.180742 | − | 1.25709i | ||||
\(159\) | 9.36566 | − | 6.01895i | 0.742745 | − | 0.477333i | ||||
\(160\) | 2.03445 | 0.160837 | ||||||||
\(161\) | −2.44275 | − | 4.12710i | −0.192515 | − | 0.325261i | ||||
\(162\) | 11.0318 | 0.866739 | ||||||||
\(163\) | −1.04547 | + | 0.671885i | −0.0818878 | + | 0.0526261i | −0.580944 | − | 0.813944i | \(-0.697316\pi\) |
0.499056 | + | 0.866570i | \(0.333680\pi\) | |||||||
\(164\) | 1.01983 | − | 7.09308i | 0.0796354 | − | 0.553876i | ||||
\(165\) | −8.88470 | + | 19.4548i | −0.691673 | + | 1.51455i | ||||
\(166\) | −2.15218 | + | 0.631938i | −0.167042 | + | 0.0490479i | ||||
\(167\) | −0.389143 | − | 0.852104i | −0.0301128 | − | 0.0659378i | 0.893978 | − | 0.448111i | \(-0.147903\pi\) |
−0.924091 | + | 0.382173i | \(0.875176\pi\) | |||||||
\(168\) | −1.45949 | − | 1.68434i | −0.112602 | − | 0.129950i | ||||
\(169\) | 1.58189 | + | 11.0023i | 0.121684 | + | 0.846332i | ||||
\(170\) | 1.36732 | + | 0.401481i | 0.104868 | + | 0.0307922i | ||||
\(171\) | −0.136686 | + | 0.157744i | −0.0104526 | + | 0.0120630i | ||||
\(172\) | −0.488470 | − | 0.313921i | −0.0372455 | − | 0.0239362i | ||||
\(173\) | −15.8195 | − | 10.1666i | −1.20273 | − | 0.772949i | −0.223305 | − | 0.974749i | \(-0.571685\pi\) |
−0.979427 | + | 0.201800i | \(0.935321\pi\) | |||||||
\(174\) | −2.43330 | + | 2.80817i | −0.184468 | + | 0.212887i | ||||
\(175\) | −0.826153 | − | 0.242580i | −0.0624513 | − | 0.0183374i | ||||
\(176\) | −0.671292 | − | 4.66894i | −0.0506006 | − | 0.351935i | ||||
\(177\) | 20.9366 | + | 24.1621i | 1.57369 | + | 1.81614i | ||||
\(178\) | 5.55022 | + | 12.1533i | 0.416007 | + | 0.910927i | ||||
\(179\) | −0.782405 | + | 0.229735i | −0.0584797 | + | 0.0171712i | −0.310842 | − | 0.950462i | \(-0.600611\pi\) |
0.252362 | + | 0.967633i | \(0.418793\pi\) | |||||||
\(180\) | −1.66250 | + | 3.64038i | −0.123916 | + | 0.271338i | ||||
\(181\) | 0.724455 | − | 5.03869i | 0.0538483 | − | 0.374523i | −0.945022 | − | 0.327006i | \(-0.893960\pi\) |
0.998870 | − | 0.0475168i | \(-0.0151308\pi\) | |||||||
\(182\) | −1.15486 | + | 0.742184i | −0.0856040 | + | 0.0550143i | ||||
\(183\) | −3.91036 | −0.289062 | ||||||||
\(184\) | 0.176312 | − | 4.79259i | 0.0129979 | − | 0.353314i | ||||
\(185\) | −18.9786 | −1.39533 | ||||||||
\(186\) | 9.63806 | − | 6.19401i | 0.706697 | − | 0.454167i | ||||
\(187\) | 0.470211 | − | 3.27039i | 0.0343853 | − | 0.239155i | ||||
\(188\) | 1.18074 | − | 2.58547i | 0.0861146 | − | 0.188565i | ||||
\(189\) | −2.20870 | + | 0.648534i | −0.160660 | + | 0.0471739i | ||||
\(190\) | 0.0896742 | + | 0.196359i | 0.00650565 | + | 0.0142454i | ||||
\(191\) | 4.41823 | + | 5.09891i | 0.319692 | + | 0.368944i | 0.892736 | − | 0.450580i | \(-0.148783\pi\) |
−0.573044 | + | 0.819525i | \(0.694237\pi\) | |||||||
\(192\) | −0.317178 | − | 2.20602i | −0.0228904 | − | 0.159206i | ||||
\(193\) | −20.6200 | − | 6.05458i | −1.48426 | − | 0.435818i | −0.563556 | − | 0.826078i | \(-0.690567\pi\) |
−0.920705 | + | 0.390260i | \(0.872385\pi\) | |||||||
\(194\) | −10.3366 | + | 11.9291i | −0.742126 | + | 0.856459i | ||||
\(195\) | 5.23635 | + | 3.36520i | 0.374983 | + | 0.240987i | ||||
\(196\) | 0.841254 | + | 0.540641i | 0.0600895 | + | 0.0386172i | ||||
\(197\) | −14.5435 | + | 16.7841i | −1.03618 | + | 1.19582i | −0.0558557 | + | 0.998439i | \(0.517789\pi\) |
−0.980327 | + | 0.197380i | \(0.936757\pi\) | |||||||
\(198\) | 8.90303 | + | 2.61417i | 0.632711 | + | 0.185781i | ||||
\(199\) | −2.90610 | − | 20.2123i | −0.206008 | − | 1.43281i | −0.786017 | − | 0.618205i | \(-0.787860\pi\) |
0.580009 | − | 0.814610i | \(-0.303049\pi\) | |||||||
\(200\) | −0.563855 | − | 0.650724i | −0.0398706 | − | 0.0460131i | ||||
\(201\) | 4.58729 | + | 10.0448i | 0.323563 | + | 0.708504i | ||||
\(202\) | −5.98816 | + | 1.75828i | −0.421325 | + | 0.123712i | ||||
\(203\) | 0.692588 | − | 1.51656i | 0.0486101 | − | 0.106441i | ||||
\(204\) | 0.222170 | − | 1.54522i | 0.0155550 | − | 0.108187i | ||||
\(205\) | 12.2645 | − | 7.88193i | 0.856592 | − | 0.550498i | ||||
\(206\) | 11.7945 | 0.821761 | ||||||||
\(207\) | 8.43164 | + | 4.23189i | 0.586040 | + | 0.294136i | ||||
\(208\) | −1.37279 | −0.0951856 | ||||||||
\(209\) | 0.421044 | − | 0.270589i | 0.0291242 | − | 0.0187170i | ||||
\(210\) | 0.645282 | − | 4.48803i | 0.0445287 | − | 0.309704i | ||||
\(211\) | −8.05490 | + | 17.6378i | −0.554522 | + | 1.21423i | 0.400115 | + | 0.916465i | \(0.368970\pi\) |
−0.954638 | + | 0.297770i | \(0.903757\pi\) | |||||||
\(212\) | −4.79292 | + | 1.40733i | −0.329179 | + | 0.0966557i | ||||
\(213\) | 9.86976 | + | 21.6118i | 0.676265 | + | 1.48081i | ||||
\(214\) | −5.01553 | − | 5.78823i | −0.342855 | − | 0.395675i | ||||
\(215\) | −0.168115 | − | 1.16927i | −0.0114654 | − | 0.0797435i | ||||
\(216\) | −2.20870 | − | 0.648534i | −0.150283 | − | 0.0441272i | ||||
\(217\) | −3.36635 | + | 3.88497i | −0.228522 | + | 0.263729i | ||||
\(218\) | 13.8603 | + | 8.90749i | 0.938739 | + | 0.603291i | ||||
\(219\) | −12.3098 | − | 7.91103i | −0.831820 | − | 0.534578i | ||||
\(220\) | 6.28430 | − | 7.25246i | 0.423687 | − | 0.488961i | ||||
\(221\) | −0.922627 | − | 0.270908i | −0.0620626 | − | 0.0182232i | ||||
\(222\) | 2.95884 | + | 20.5792i | 0.198584 | + | 1.38118i | ||||
\(223\) | 12.7064 | + | 14.6640i | 0.850884 | + | 0.981973i | 0.999977 | − | 0.00685066i | \(-0.00218065\pi\) |
−0.149092 | + | 0.988823i | \(0.547635\pi\) | |||||||
\(224\) | 0.415415 | + | 0.909632i | 0.0277561 | + | 0.0607773i | ||||
\(225\) | 1.62516 | − | 0.477189i | 0.108344 | − | 0.0318126i | ||||
\(226\) | −1.90852 | + | 4.17907i | −0.126953 | + | 0.277988i | ||||
\(227\) | 1.77849 | − | 12.3697i | 0.118042 | − | 0.821003i | −0.841665 | − | 0.540000i | \(-0.818424\pi\) |
0.959707 | − | 0.281002i | \(-0.0906669\pi\) | |||||||
\(228\) | 0.198939 | − | 0.127850i | 0.0131750 | − | 0.00846708i | ||||
\(229\) | 14.8900 | 0.983957 | 0.491979 | − | 0.870607i | \(-0.336274\pi\) | ||||
0.491979 | + | 0.870607i | \(0.336274\pi\) | |||||||
\(230\) | 7.60365 | − | 6.11398i | 0.501370 | − | 0.403144i | ||||
\(231\) | −10.5127 | −0.691685 | ||||||||
\(232\) | 1.40255 | − | 0.901367i | 0.0920822 | − | 0.0591776i | ||||
\(233\) | 1.80018 | − | 12.5205i | 0.117934 | − | 0.820247i | −0.841891 | − | 0.539648i | \(-0.818558\pi\) |
0.959825 | − | 0.280600i | \(-0.0905334\pi\) | |||||||
\(234\) | 1.12181 | − | 2.45642i | 0.0733350 | − | 0.160581i | ||||
\(235\) | 5.54832 | − | 1.62913i | 0.361932 | − | 0.106273i | ||||
\(236\) | −5.95918 | − | 13.0488i | −0.387909 | − | 0.849403i | ||||
\(237\) | −23.2991 | − | 26.8886i | −1.51344 | − | 1.74660i | ||||
\(238\) | 0.0996854 | + | 0.693327i | 0.00646165 | + | 0.0449417i | ||||
\(239\) | −23.9060 | − | 7.01943i | −1.54635 | − | 0.454049i | −0.606343 | − | 0.795203i | \(-0.707364\pi\) |
−0.940007 | + | 0.341154i | \(0.889182\pi\) | |||||||
\(240\) | 2.96926 | − | 3.42671i | 0.191665 | − | 0.221193i | ||||
\(241\) | 1.10607 | + | 0.710830i | 0.0712484 | + | 0.0457886i | 0.575780 | − | 0.817605i | \(-0.304698\pi\) |
−0.504532 | + | 0.863393i | \(0.668335\pi\) | |||||||
\(242\) | −9.46380 | − | 6.08202i | −0.608356 | − | 0.390967i | ||||
\(243\) | 11.5784 | − | 13.3622i | 0.742757 | − | 0.857188i | ||||
\(244\) | 1.68347 | + | 0.494311i | 0.107773 | + | 0.0316450i | ||||
\(245\) | 0.289532 | + | 2.01374i | 0.0184975 | + | 0.128653i | ||||
\(246\) | −10.4588 | − | 12.0700i | −0.666826 | − | 0.769558i | ||||
\(247\) | −0.0605096 | − | 0.132498i | −0.00385013 | − | 0.00843062i | ||||
\(248\) | −4.93232 | + | 1.44826i | −0.313203 | + | 0.0919646i | ||||
\(249\) | −2.07669 | + | 4.54733i | −0.131605 | + | 0.288175i | ||||
\(250\) | 1.69695 | − | 11.8026i | 0.107325 | − | 0.746461i | ||||
\(251\) | −24.6525 | + | 15.8432i | −1.55606 | + | 1.00002i | −0.572395 | + | 0.819978i | \(0.693986\pi\) |
−0.983660 | + | 0.180038i | \(0.942378\pi\) | |||||||
\(252\) | −1.96714 | −0.123918 | ||||||||
\(253\) | −16.5402 | − | 15.4326i | −1.03987 | − | 0.970238i | ||||
\(254\) | 13.8388 | 0.868323 | ||||||||
\(255\) | 2.67182 | − | 1.71708i | 0.167316 | − | 0.107527i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 4.79687 | − | 10.5037i | 0.299221 | − | 0.655202i | −0.698981 | − | 0.715140i | \(-0.746363\pi\) |
0.998202 | + | 0.0599378i | \(0.0190903\pi\) | |||||||
\(258\) | −1.24167 | + | 0.364587i | −0.0773030 | + | 0.0226982i | ||||
\(259\) | −3.87525 | − | 8.48562i | −0.240796 | − | 0.527270i | ||||
\(260\) | −1.82893 | − | 2.11070i | −0.113426 | − | 0.130900i | ||||
\(261\) | 0.466743 | + | 3.24627i | 0.0288906 | + | 0.200939i | ||||
\(262\) | 7.59303 | + | 2.22952i | 0.469099 | + | 0.137740i | ||||
\(263\) | 20.2006 | − | 23.3128i | 1.24562 | − | 1.43753i | 0.389283 | − | 0.921118i | \(-0.372723\pi\) |
0.856342 | − | 0.516410i | \(-0.172732\pi\) | |||||||
\(264\) | −8.84385 | − | 5.68360i | −0.544301 | − | 0.349801i | ||||
\(265\) | −8.54932 | − | 5.49431i | −0.525181 | − | 0.337513i | ||||
\(266\) | −0.0694846 | + | 0.0801894i | −0.00426037 | + | 0.00491673i | ||||
\(267\) | 28.5708 | + | 8.38915i | 1.74851 | + | 0.513408i | ||||
\(268\) | −0.705134 | − | 4.90431i | −0.0430729 | − | 0.299579i | ||||
\(269\) | −9.61873 | − | 11.1006i | −0.586464 | − | 0.676816i | 0.382517 | − | 0.923948i | \(-0.375057\pi\) |
−0.968982 | + | 0.247132i | \(0.920512\pi\) | |||||||
\(270\) | −1.94547 | − | 4.25998i | −0.118397 | − | 0.259254i | ||||
\(271\) | 22.8805 | − | 6.71831i | 1.38989 | − | 0.408108i | 0.500689 | − | 0.865627i | \(-0.333080\pi\) |
0.889200 | + | 0.457519i | \(0.151262\pi\) | |||||||
\(272\) | −0.290980 | + | 0.637158i | −0.0176433 | + | 0.0386334i | ||||
\(273\) | −0.435418 | + | 3.02840i | −0.0263527 | + | 0.183287i | ||||
\(274\) | −11.2069 | + | 7.20223i | −0.677033 | + | 0.435103i | ||||
\(275\) | −4.06144 | −0.244914 | ||||||||
\(276\) | −7.81505 | − | 7.29172i | −0.470411 | − | 0.438910i | ||||
\(277\) | −8.27972 | −0.497480 | −0.248740 | − | 0.968570i | \(-0.580016\pi\) | ||||
−0.248740 | + | 0.968570i | \(0.580016\pi\) | |||||||
\(278\) | −6.64924 | + | 4.27321i | −0.398795 | + | 0.256290i | ||||
\(279\) | 1.43911 | − | 10.0092i | 0.0861574 | − | 0.599238i | ||||
\(280\) | −0.845139 | + | 1.85060i | −0.0505067 | + | 0.110594i | ||||
\(281\) | 14.2748 | − | 4.19147i | 0.851565 | − | 0.250042i | 0.173309 | − | 0.984868i | \(-0.444554\pi\) |
0.678256 | + | 0.734826i | \(0.262736\pi\) | |||||||
\(282\) | −2.63153 | − | 5.76225i | −0.156705 | − | 0.343137i | ||||
\(283\) | 5.44713 | + | 6.28632i | 0.323798 | + | 0.373683i | 0.894188 | − | 0.447691i | \(-0.147753\pi\) |
−0.570390 | + | 0.821374i | \(0.693208\pi\) | |||||||
\(284\) | −1.51713 | − | 10.5518i | −0.0900248 | − | 0.626136i | ||||
\(285\) | 0.461615 | + | 0.135542i | 0.0273437 | + | 0.00802884i | ||||
\(286\) | −4.24046 | + | 4.89375i | −0.250744 | + | 0.289374i | ||||
\(287\) | 6.02844 | + | 3.87424i | 0.355847 | + | 0.228689i | ||||
\(288\) | −1.65486 | − | 1.06351i | −0.0975136 | − | 0.0626682i | ||||
\(289\) | 10.8113 | − | 12.4769i | 0.635961 | − | 0.733938i | ||||
\(290\) | 3.25447 | + | 0.955600i | 0.191109 | + | 0.0561147i | ||||
\(291\) | 5.00648 | + | 34.8209i | 0.293485 | + | 2.04124i | ||||
\(292\) | 4.29952 | + | 4.96191i | 0.251611 | + | 0.290374i | ||||
\(293\) | 7.81230 | + | 17.1066i | 0.456400 | + | 0.999376i | 0.988293 | + | 0.152565i | \(0.0487533\pi\) |
−0.531894 | + | 0.846811i | \(0.678519\pi\) | |||||||
\(294\) | 2.13843 | − | 0.627899i | 0.124716 | − | 0.0366198i | ||||
\(295\) | 12.1236 | − | 26.5470i | 0.705865 | − | 1.54563i | ||||
\(296\) | 1.32760 | − | 9.23367i | 0.0771653 | − | 0.536696i | ||||
\(297\) | −9.13449 | + | 5.87038i | −0.530037 | + | 0.340634i | ||||
\(298\) | 0.786656 | 0.0455698 | ||||||||
\(299\) | −5.13073 | + | 4.12554i | −0.296718 | + | 0.238586i | ||||
\(300\) | −1.91899 | −0.110793 | ||||||||
\(301\) | 0.488470 | − | 0.313921i | 0.0281550 | − | 0.0180941i | ||||
\(302\) | −0.317493 | + | 2.20821i | −0.0182697 | + | 0.127068i | ||||
\(303\) | −5.77812 | + | 12.6523i | −0.331944 | + | 0.726857i | ||||
\(304\) | −0.101808 | + | 0.0298935i | −0.00583908 | + | 0.00171451i | ||||
\(305\) | 1.48283 | + | 3.24695i | 0.0849067 | + | 0.185920i | ||||
\(306\) | −0.902329 | − | 1.04134i | −0.0515827 | − | 0.0595296i | ||||
\(307\) | 2.47670 | + | 17.2258i | 0.141353 | + | 0.983129i | 0.929810 | + | 0.368040i | \(0.119971\pi\) |
−0.788458 | + | 0.615089i | \(0.789120\pi\) | |||||||
\(308\) | 4.52588 | + | 1.32892i | 0.257886 | + | 0.0757222i | ||||
\(309\) | 17.2140 | − | 19.8660i | 0.979269 | − | 1.13014i | ||||
\(310\) | −8.79797 | − | 5.65411i | −0.499691 | − | 0.321132i | ||||
\(311\) | 21.7764 | + | 13.9948i | 1.23482 | + | 0.793574i | 0.984635 | − | 0.174623i | \(-0.0558708\pi\) |
0.250189 | + | 0.968197i | \(0.419507\pi\) | |||||||
\(312\) | −2.00357 | + | 2.31224i | −0.113430 | + | 0.130905i | ||||
\(313\) | 22.2721 | + | 6.53968i | 1.25889 | + | 0.369645i | 0.842083 | − | 0.539349i | \(-0.181329\pi\) |
0.416811 | + | 0.908993i | \(0.363148\pi\) | |||||||
\(314\) | −0.553068 | − | 3.84667i | −0.0312114 | − | 0.217080i | ||||
\(315\) | −2.62077 | − | 3.02453i | −0.147664 | − | 0.170413i | ||||
\(316\) | 6.63162 | + | 14.5212i | 0.373058 | + | 0.816883i | ||||
\(317\) | 20.2382 | − | 5.94247i | 1.13669 | − | 0.333762i | 0.341356 | − | 0.939934i | \(-0.389114\pi\) |
0.795334 | + | 0.606172i | \(0.207296\pi\) | |||||||
\(318\) | −4.62481 | + | 10.1269i | −0.259346 | + | 0.567889i | ||||
\(319\) | 1.11919 | − | 7.78415i | 0.0626627 | − | 0.435829i | ||||
\(320\) | −1.71148 | + | 1.09990i | −0.0956749 | + | 0.0614865i | ||||
\(321\) | −17.0695 | −0.952727 | ||||||||
\(322\) | 4.28625 | + | 2.15129i | 0.238863 | + | 0.119887i | ||||
\(323\) | −0.0743226 | −0.00413542 | ||||||||
\(324\) | −9.28053 | + | 5.96423i | −0.515585 | + | 0.331346i | ||||
\(325\) | −0.168218 | + | 1.16998i | −0.00933104 | + | 0.0648988i | ||||
\(326\) | 0.516260 | − | 1.13045i | 0.0285930 | − | 0.0626099i | ||||
\(327\) | 35.2323 | − | 10.3451i | 1.94835 | − | 0.572088i | ||||
\(328\) | 2.97687 | + | 6.51844i | 0.164370 | + | 0.359921i | ||||
\(329\) | 1.86133 | + | 2.14808i | 0.102618 | + | 0.118428i | ||||
\(330\) | −3.04376 | − | 21.1698i | −0.167554 | − | 1.16536i | ||||
\(331\) | −28.4510 | − | 8.35397i | −1.56381 | − | 0.459176i | −0.618617 | − | 0.785693i | \(-0.712307\pi\) |
−0.945191 | + | 0.326517i | \(0.894125\pi\) | |||||||
\(332\) | 1.46888 | − | 1.69518i | 0.0806153 | − | 0.0930350i | ||||
\(333\) | 15.4376 | + | 9.92113i | 0.845974 | + | 0.543674i | ||||
\(334\) | 0.788050 | + | 0.506449i | 0.0431202 | + | 0.0277117i | ||||
\(335\) | 6.60110 | − | 7.61808i | 0.360657 | − | 0.416220i | ||||
\(336\) | 2.13843 | + | 0.627899i | 0.116661 | + | 0.0342547i | ||||
\(337\) | −2.65024 | − | 18.4328i | −0.144368 | − | 1.00410i | −0.925233 | − | 0.379399i | \(-0.876131\pi\) |
0.780865 | − | 0.624699i | \(-0.214778\pi\) | |||||||
\(338\) | −7.27908 | − | 8.40050i | −0.395930 | − | 0.456927i | ||||
\(339\) | 4.25353 | + | 9.31393i | 0.231020 | + | 0.505863i | ||||
\(340\) | −1.36732 | + | 0.401481i | −0.0741532 | + | 0.0217733i | ||||
\(341\) | −10.0729 | + | 22.0565i | −0.545477 | + | 1.19443i | ||||
\(342\) | 0.0297046 | − | 0.206600i | 0.00160624 | − | 0.0111717i | ||||
\(343\) | −0.841254 | + | 0.540641i | −0.0454234 | + | 0.0291919i | ||||
\(344\) | 0.580646 | 0.0313063 | ||||||||
\(345\) | 0.799430 | − | 21.7305i | 0.0430399 | − | 1.16993i | ||||
\(346\) | 18.8046 | 1.01094 | ||||||||
\(347\) | −27.2559 | + | 17.5163i | −1.46317 | + | 0.940324i | −0.464677 | + | 0.885480i | \(0.653830\pi\) |
−0.998495 | + | 0.0548435i | \(0.982534\pi\) | |||||||
\(348\) | 0.528806 | − | 3.67792i | 0.0283470 | − | 0.197157i | ||||
\(349\) | 1.40553 | − | 3.07767i | 0.0752361 | − | 0.164744i | −0.868277 | − | 0.496080i | \(-0.834772\pi\) |
0.943513 | + | 0.331336i | \(0.107499\pi\) | |||||||
\(350\) | 0.826153 | − | 0.242580i | 0.0441597 | − | 0.0129665i | ||||
\(351\) | 1.31275 | + | 2.87451i | 0.0700692 | + | 0.153430i | ||||
\(352\) | 3.08895 | + | 3.56484i | 0.164641 | + | 0.190006i | ||||
\(353\) | 1.98890 | + | 13.8331i | 0.105859 | + | 0.736263i | 0.971747 | + | 0.236026i | \(0.0758449\pi\) |
−0.865888 | + | 0.500238i | \(0.833246\pi\) | |||||||
\(354\) | −30.6760 | − | 9.00729i | −1.63041 | − | 0.478732i | ||||
\(355\) | 14.2025 | − | 16.3906i | 0.753793 | − | 0.869924i | ||||
\(356\) | −11.2397 | − | 7.22332i | −0.595703 | − | 0.382835i | ||||
\(357\) | 1.31329 | + | 0.844002i | 0.0695068 | + | 0.0446693i | ||||
\(358\) | 0.533997 | − | 0.616265i | 0.0282226 | − | 0.0325706i | ||||
\(359\) | −7.53290 | − | 2.21186i | −0.397571 | − | 0.116737i | 0.0768342 | − | 0.997044i | \(-0.475519\pi\) |
−0.474406 | + | 0.880306i | \(0.657337\pi\) | |||||||
\(360\) | −0.569549 | − | 3.96130i | −0.0300178 | − | 0.208779i | ||||
\(361\) | 12.4350 | + | 14.3507i | 0.654473 | + | 0.755302i | ||||
\(362\) | 2.11467 | + | 4.63049i | 0.111145 | + | 0.243373i | ||||
\(363\) | −24.0566 | + | 7.06364i | −1.26264 | + | 0.370745i | ||||
\(364\) | 0.570276 | − | 1.24873i | 0.0298906 | − | 0.0654512i | ||||
\(365\) | −1.90094 | + | 13.2213i | −0.0994996 | + | 0.692035i | ||||
\(366\) | 3.28960 | − | 2.11410i | 0.171950 | − | 0.110506i | ||||
\(367\) | −17.1240 | −0.893867 | −0.446934 | − | 0.894567i | \(-0.647484\pi\) | ||||
−0.446934 | + | 0.894567i | \(0.647484\pi\) | |||||||
\(368\) | 2.44275 | + | 4.12710i | 0.127337 | + | 0.215140i | ||||
\(369\) | −14.0965 | −0.733836 | ||||||||
\(370\) | 15.9658 | − | 10.2606i | 0.830022 | − | 0.533423i | ||||
\(371\) | 0.710900 | − | 4.94442i | 0.0369081 | − | 0.256702i | ||||
\(372\) | −4.75932 | + | 10.4215i | −0.246759 | + | 0.540327i | ||||
\(373\) | 3.65573 | − | 1.07342i | 0.189287 | − | 0.0555796i | −0.185715 | − | 0.982604i | \(-0.559460\pi\) |
0.375002 | + | 0.927024i | \(0.377642\pi\) | |||||||
\(374\) | 1.37254 | + | 3.00544i | 0.0709724 | + | 0.155408i | ||||
\(375\) | −17.4029 | − | 20.0840i | −0.898683 | − | 1.03714i | ||||
\(376\) | 0.404505 | + | 2.81339i | 0.0208607 | + | 0.145090i | ||||
\(377\) | −2.19603 | − | 0.644811i | −0.113101 | − | 0.0332095i | ||||
\(378\) | 1.50746 | − | 1.73970i | 0.0775352 | − | 0.0894804i | ||||
\(379\) | −23.9446 | − | 15.3883i | −1.22995 | − | 0.790443i | −0.246070 | − | 0.969252i | \(-0.579139\pi\) |
−0.983884 | + | 0.178809i | \(0.942776\pi\) | |||||||
\(380\) | −0.181599 | − | 0.116706i | −0.00931581 | − | 0.00598691i | ||||
\(381\) | 20.1976 | − | 23.3093i | 1.03476 | − | 1.19417i | ||||
\(382\) | −6.47354 | − | 1.90080i | −0.331215 | − | 0.0972535i | ||||
\(383\) | 4.67354 | + | 32.5052i | 0.238807 | + | 1.66094i | 0.657983 | + | 0.753033i | \(0.271410\pi\) |
−0.419176 | + | 0.907905i | \(0.637681\pi\) | |||||||
\(384\) | 1.45949 | + | 1.68434i | 0.0744794 | + | 0.0859539i | ||||
\(385\) | 3.98648 | + | 8.72918i | 0.203170 | + | 0.444880i | ||||
\(386\) | 20.6200 | − | 6.05458i | 1.04953 | − | 0.308170i | ||||
\(387\) | −0.474491 | + | 1.03899i | −0.0241197 | + | 0.0528149i | ||||
\(388\) | 2.24636 | − | 15.6238i | 0.114042 | − | 0.793178i | ||||
\(389\) | 1.33451 | − | 0.857638i | 0.0676624 | − | 0.0434840i | −0.506372 | − | 0.862315i | \(-0.669014\pi\) |
0.574035 | + | 0.818831i | \(0.305377\pi\) | |||||||
\(390\) | −6.22446 | −0.315188 | ||||||||
\(391\) | 0.827281 | + | 3.25581i | 0.0418374 | + | 0.164654i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 14.8373 | − | 9.53532i | 0.748440 | − | 0.480993i | ||||
\(394\) | 3.16061 | − | 21.9825i | 0.159229 | − | 1.10746i | ||||
\(395\) | −13.4917 | + | 29.5426i | −0.678840 | + | 1.48645i | ||||
\(396\) | −8.90303 | + | 2.61417i | −0.447394 | + | 0.131367i | ||||
\(397\) | −2.71781 | − | 5.95117i | −0.136403 | − | 0.298681i | 0.829088 | − | 0.559119i | \(-0.188860\pi\) |
−0.965491 | + | 0.260438i | \(0.916133\pi\) | |||||||
\(398\) | 13.3724 | + | 15.4326i | 0.670297 | + | 0.773564i | ||||
\(399\) | 0.0336545 | + | 0.234072i | 0.00168483 | + | 0.0117183i | ||||
\(400\) | 0.826153 | + | 0.242580i | 0.0413077 | + | 0.0121290i | ||||
\(401\) | −10.9849 | + | 12.6773i | −0.548561 | + | 0.633073i | −0.960547 | − | 0.278117i | \(-0.910290\pi\) |
0.411986 | + | 0.911190i | \(0.364835\pi\) | |||||||
\(402\) | −9.28969 | − | 5.97012i | −0.463328 | − | 0.297763i | ||||
\(403\) | 5.93662 | + | 3.81523i | 0.295724 | + | 0.190050i | ||||
\(404\) | 4.08696 | − | 4.71660i | 0.203334 | − | 0.234660i | ||||
\(405\) | −21.5344 | − | 6.32308i | −1.07005 | − | 0.314196i | ||||
\(406\) | 0.237270 | + | 1.65025i | 0.0117755 | + | 0.0819005i | ||||
\(407\) | −28.8156 | − | 33.2550i | −1.42834 | − | 1.64839i | ||||
\(408\) | 0.648510 | + | 1.42004i | 0.0321060 | + | 0.0703024i | ||||
\(409\) | −12.1177 | + | 3.55808i | −0.599182 | + | 0.175936i | −0.567238 | − | 0.823554i | \(-0.691988\pi\) |
−0.0319439 | + | 0.999490i | \(0.510170\pi\) | |||||||
\(410\) | −6.05628 | + | 13.2614i | −0.299098 | + | 0.654934i | ||||
\(411\) | −4.22534 | + | 29.3879i | −0.208421 | + | 1.44960i | ||||
\(412\) | −9.92216 | + | 6.37659i | −0.488830 | + | 0.314152i | ||||
\(413\) | 14.3451 | 0.705877 | ||||||||
\(414\) | −9.38108 | + | 0.998399i | −0.461055 | + | 0.0490686i | ||||
\(415\) | 4.56335 | 0.224006 | ||||||||
\(416\) | 1.15486 | − | 0.742184i | 0.0566217 | − | 0.0363886i | ||||
\(417\) | −2.50697 | + | 17.4363i | −0.122767 | + | 0.853861i | ||||
\(418\) | −0.207914 | + | 0.455267i | −0.0101694 | + | 0.0222679i | ||||
\(419\) | −20.6143 | + | 6.05290i | −1.00707 | + | 0.295704i | −0.743356 | − | 0.668896i | \(-0.766767\pi\) |
−0.263718 | + | 0.964600i | \(0.584949\pi\) | |||||||
\(420\) | 1.88357 | + | 4.12444i | 0.0919087 | + | 0.201252i | ||||
\(421\) | 16.0875 | + | 18.5659i | 0.784054 | + | 0.904847i | 0.997395 | − | 0.0721308i | \(-0.0229799\pi\) |
−0.213341 | + | 0.976978i | \(0.568434\pi\) | |||||||
\(422\) | −2.75949 | − | 19.1927i | −0.134330 | − | 0.934284i | ||||
\(423\) | −5.36475 | − | 1.57523i | −0.260843 | − | 0.0765905i | ||||
\(424\) | 3.27120 | − | 3.77517i | 0.158864 | − | 0.183338i | ||||
\(425\) | 0.507373 | + | 0.326069i | 0.0246112 | + | 0.0158167i | ||||
\(426\) | −19.9872 | − | 12.8450i | −0.968381 | − | 0.622341i | ||||
\(427\) | −1.14898 | + | 1.32599i | −0.0556031 | + | 0.0641693i | ||||
\(428\) | 7.34868 | + | 2.15777i | 0.355212 | + | 0.104300i | ||||
\(429\) | 2.05384 | + | 14.2848i | 0.0991605 | + | 0.689677i | ||||
\(430\) | 0.773582 | + | 0.892761i | 0.0373054 | + | 0.0430528i | ||||
\(431\) | −0.826394 | − | 1.80955i | −0.0398060 | − | 0.0871630i | 0.888684 | − | 0.458519i | \(-0.151620\pi\) |
−0.928490 | + | 0.371356i | \(0.878893\pi\) | |||||||
\(432\) | 2.20870 | − | 0.648534i | 0.106266 | − | 0.0312026i | ||||
\(433\) | 13.9136 | − | 30.4666i | 0.668646 | − | 1.46413i | −0.205595 | − | 0.978637i | \(-0.565913\pi\) |
0.874241 | − | 0.485493i | \(-0.161360\pi\) | |||||||
\(434\) | 0.731577 | − | 5.08823i | 0.0351168 | − | 0.244243i | ||||
\(435\) | 6.35944 | − | 4.08696i | 0.304912 | − | 0.195955i | ||||
\(436\) | −16.4758 | −0.789047 | ||||||||
\(437\) | −0.290666 | + | 0.417682i | −0.0139044 | + | 0.0199804i | ||||
\(438\) | 14.6327 | 0.699177 | ||||||||
\(439\) | −29.0079 | + | 18.6422i | −1.38447 | + | 0.889746i | −0.999450 | − | 0.0331623i | \(-0.989442\pi\) |
−0.385021 | + | 0.922908i | \(0.625806\pi\) | |||||||
\(440\) | −1.36571 | + | 9.49871i | −0.0651076 | + | 0.452833i | ||||
\(441\) | 0.817178 | − | 1.78937i | 0.0389132 | − | 0.0852081i | ||||
\(442\) | 0.922627 | − | 0.270908i | 0.0438849 | − | 0.0128858i | ||||
\(443\) | 11.5163 | + | 25.2172i | 0.547157 | + | 1.19811i | 0.958097 | + | 0.286444i | \(0.0924731\pi\) |
−0.410941 | + | 0.911662i | \(0.634800\pi\) | |||||||
\(444\) | −13.6151 | − | 15.7126i | −0.646142 | − | 0.745688i | ||||
\(445\) | −3.86834 | − | 26.9049i | −0.183377 | − | 1.27541i | ||||
\(446\) | −18.6173 | − | 5.46652i | −0.881553 | − | 0.258847i | ||||
\(447\) | 1.14812 | − | 1.32500i | 0.0543042 | − | 0.0626704i | ||||
\(448\) | −0.841254 | − | 0.540641i | −0.0397455 | − | 0.0255429i | ||||
\(449\) | 22.7003 | + | 14.5886i | 1.07129 | + | 0.688478i | 0.952530 | − | 0.304444i | \(-0.0984707\pi\) |
0.118763 | + | 0.992923i | \(0.462107\pi\) | |||||||
\(450\) | −1.10918 | + | 1.28006i | −0.0522873 | + | 0.0603427i | ||||
\(451\) | 32.4326 | + | 9.52306i | 1.52719 | + | 0.448423i | ||||
\(452\) | −0.653829 | − | 4.54748i | −0.0307535 | − | 0.213896i | ||||
\(453\) | 3.25601 | + | 3.75764i | 0.152981 | + | 0.176549i | ||||
\(454\) | 5.19138 | + | 11.3675i | 0.243644 | + | 0.533505i | ||||
\(455\) | 2.67973 | − | 0.786839i | 0.125628 | − | 0.0368876i | ||||
\(456\) | −0.0982369 | + | 0.215109i | −0.00460036 | + | 0.0100734i | ||||
\(457\) | 0.263420 | − | 1.83213i | 0.0123223 | − | 0.0857033i | −0.982732 | − | 0.185033i | \(-0.940761\pi\) |
0.995055 | + | 0.0993297i | \(0.0316699\pi\) | |||||||
\(458\) | −12.5262 | + | 8.05013i | −0.585313 | + | 0.376158i | ||||
\(459\) | 1.61242 | 0.0752612 | ||||||||
\(460\) | −3.09113 | + | 9.25425i | −0.144125 | + | 0.431482i | ||||
\(461\) | −15.0779 | −0.702246 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(462\) | 8.84385 | − | 5.68360i | 0.411453 | − | 0.264425i | ||||
\(463\) | 0.0897102 | − | 0.623948i | 0.00416919 | − | 0.0289973i | −0.987631 | − | 0.156798i | \(-0.949883\pi\) |
0.991800 | + | 0.127801i | \(0.0407919\pi\) | |||||||
\(464\) | −0.692588 | + | 1.51656i | −0.0321526 | + | 0.0704044i | ||||
\(465\) | −22.3641 | + | 6.56668i | −1.03711 | + | 0.304523i | ||||
\(466\) | 5.25470 | + | 11.5062i | 0.243419 | + | 0.533014i | ||||
\(467\) | 1.72819 | + | 1.99444i | 0.0799711 | + | 0.0922915i | 0.794325 | − | 0.607493i | \(-0.207825\pi\) |
−0.714354 | + | 0.699785i | \(0.753279\pi\) | |||||||
\(468\) | 0.384315 | + | 2.67297i | 0.0177650 | + | 0.123558i | ||||
\(469\) | 4.75404 | + | 1.39591i | 0.219521 | + | 0.0644573i | ||||
\(470\) | −3.78677 | + | 4.37016i | −0.174671 | + | 0.201581i | ||||
\(471\) | −7.28632 | − | 4.68263i | −0.335736 | − | 0.215764i | ||||
\(472\) | 12.0679 | + | 7.75556i | 0.555469 | + | 0.356978i | ||||
\(473\) | 1.79358 | − | 2.06991i | 0.0824691 | − | 0.0951744i | ||||
\(474\) | 34.1376 | + | 10.0237i | 1.56799 | + | 0.460403i | ||||
\(475\) | 0.0130019 | + | 0.0904305i | 0.000596570 | + | 0.00414924i | ||||
\(476\) | −0.458702 | − | 0.529370i | −0.0210246 | − | 0.0242636i | ||||
\(477\) | 4.08202 | + | 8.93838i | 0.186903 | + | 0.409260i | ||||
\(478\) | 23.9060 | − | 7.01943i | 1.09343 | − | 0.321061i | ||||
\(479\) | 8.33043 | − | 18.2411i | 0.380627 | − | 0.833457i | −0.618246 | − | 0.785985i | \(-0.712156\pi\) |
0.998873 | − | 0.0474717i | \(-0.0151164\pi\) | |||||||
\(480\) | −0.645282 | + | 4.48803i | −0.0294529 | + | 0.204850i | ||||
\(481\) | −10.7733 | + | 6.92355i | −0.491218 | + | 0.315687i | ||||
\(482\) | −1.31479 | −0.0598871 | ||||||||
\(483\) | 9.87927 | − | 4.07973i | 0.449522 | − | 0.185634i | ||||
\(484\) | 11.2496 | 0.511347 | ||||||||
\(485\) | 27.0149 | − | 17.3614i | 1.22668 | − | 0.788340i | ||||
\(486\) | −2.51624 | + | 17.5008i | −0.114139 | + | 0.793853i | ||||
\(487\) | −12.8907 | + | 28.2267i | −0.584133 | + | 1.27907i | 0.354789 | + | 0.934946i | \(0.384553\pi\) |
−0.938923 | + | 0.344128i | \(0.888175\pi\) | |||||||
\(488\) | −1.68347 | + | 0.494311i | −0.0762071 | + | 0.0223764i | ||||
\(489\) | −1.15059 | − | 2.51944i | −0.0520316 | − | 0.113933i | ||||
\(490\) | −1.33228 | − | 1.53753i | −0.0601862 | − | 0.0694586i | ||||
\(491\) | 6.23695 | + | 43.3789i | 0.281470 | + | 1.95766i | 0.287821 | + | 0.957684i | \(0.407069\pi\) |
−0.00635187 | + | 0.999980i | \(0.502022\pi\) | |||||||
\(492\) | 15.3240 | + | 4.49954i | 0.690860 | + | 0.202855i | ||||
\(493\) | −0.764757 | + | 0.882576i | −0.0344429 | + | 0.0397492i | ||||
\(494\) | 0.122537 | + | 0.0787501i | 0.00551322 | + | 0.00354313i | ||||
\(495\) | −15.8807 | − | 10.2059i | −0.713783 | − | 0.458721i | ||||
\(496\) | 3.36635 | − | 3.88497i | 0.151153 | − | 0.174440i | ||||
\(497\) | 10.2285 | + | 3.00337i | 0.458812 | + | 0.134719i | ||||
\(498\) | −0.711444 | − | 4.94820i | −0.0318806 | − | 0.221734i | ||||
\(499\) | −7.61406 | − | 8.78709i | −0.340852 | − | 0.393364i | 0.559282 | − | 0.828978i | \(-0.311077\pi\) |
−0.900134 | + | 0.435613i | \(0.856532\pi\) | |||||||
\(500\) | 4.95339 | + | 10.8464i | 0.221522 | + | 0.485066i | ||||
\(501\) | 2.00319 | − | 0.588189i | 0.0894958 | − | 0.0262783i | ||||
\(502\) | 12.1735 | − | 26.6563i | 0.543332 | − | 1.18973i | ||||
\(503\) | −5.31197 | + | 36.9456i | −0.236849 | + | 1.64732i | 0.430510 | + | 0.902586i | \(0.358334\pi\) |
−0.667359 | + | 0.744736i | \(0.732575\pi\) | |||||||
\(504\) | 1.65486 | − | 1.06351i | 0.0737134 | − | 0.0473727i | ||||
\(505\) | 12.6969 | 0.565004 | ||||||||
\(506\) | 22.2580 | + | 4.04042i | 0.989487 | + | 0.179619i | ||||
\(507\) | −24.7731 | −1.10021 | ||||||||
\(508\) | −11.6419 | + | 7.48182i | −0.516527 | + | 0.331952i | ||||
\(509\) | 1.81136 | − | 12.5983i | 0.0802872 | − | 0.558410i | −0.909483 | − | 0.415741i | \(-0.863522\pi\) |
0.989770 | − | 0.142669i | \(-0.0455685\pi\) | |||||||
\(510\) | −1.31936 | + | 2.88899i | −0.0584222 | + | 0.127927i | ||||
\(511\) | −6.29960 | + | 1.84973i | −0.278678 | + | 0.0818272i | ||||
\(512\) | −0.415415 | − | 0.909632i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | 0.159950 | + | 0.184592i | 0.00706196 | + | 0.00814994i | ||||
\(514\) | 1.64334 | + | 11.4296i | 0.0724844 | + | 0.504140i | ||||
\(515\) | −23.0233 | − | 6.76025i | −1.01453 | − | 0.297892i | ||||
\(516\) | 0.847449 | − | 0.978008i | 0.0373069 | − | 0.0430544i | ||||
\(517\) | 11.2788 | + | 7.24843i | 0.496040 | + | 0.318785i | ||||
\(518\) | 7.84774 | + | 5.04344i | 0.344810 | + | 0.221596i | ||||
\(519\) | 27.4452 | − | 31.6735i | 1.20471 | − | 1.39031i | ||||
\(520\) | 2.67973 | + | 0.786839i | 0.117514 | + | 0.0345052i | ||||
\(521\) | −2.99294 | − | 20.8163i | −0.131123 | − | 0.911980i | −0.944094 | − | 0.329676i | \(-0.893061\pi\) |
0.812971 | − | 0.582304i | \(-0.197849\pi\) | |||||||
\(522\) | −2.14771 | − | 2.47859i | −0.0940029 | − | 0.108485i | ||||
\(523\) | −12.6240 | − | 27.6428i | −0.552010 | − | 1.20873i | −0.955837 | − | 0.293898i | \(-0.905047\pi\) |
0.403827 | − | 0.914836i | \(-0.367680\pi\) | |||||||
\(524\) | −7.59303 | + | 2.22952i | −0.331703 | + | 0.0973968i | ||||
\(525\) | 0.797176 | − | 1.74557i | 0.0347916 | − | 0.0761830i | ||||
\(526\) | −4.39002 | + | 30.5333i | −0.191414 | + | 1.33131i | ||||
\(527\) | 3.02913 | − | 1.94670i | 0.131951 | − | 0.0847998i | ||||
\(528\) | 10.5127 | 0.457507 | ||||||||
\(529\) | 21.5326 | + | 8.08386i | 0.936198 | + | 0.351472i | ||||
\(530\) | 10.1626 | 0.441435 | ||||||||
\(531\) | −23.7392 | + | 15.2562i | −1.03019 | + | 0.662065i | ||||
\(532\) | 0.0151004 | − | 0.105026i | 0.000654687 | − | 0.00455345i | ||||
\(533\) | 4.08661 | − | 8.94842i | 0.177011 | − | 0.387599i | ||||
\(534\) | −28.5708 | + | 8.38915i | −1.23638 | + | 0.363034i | ||||
\(535\) | 6.47286 | + | 14.1736i | 0.279846 | + | 0.612777i | ||||
\(536\) | 3.24467 | + | 3.74455i | 0.140148 | + | 0.161740i | ||||
\(537\) | −0.258638 | − | 1.79887i | −0.0111611 | − | 0.0776270i | ||||
\(538\) | 14.0932 | + | 4.13815i | 0.607602 | + | 0.178408i | ||||
\(539\) | −3.08895 | + | 3.56484i | −0.133050 | + | 0.153548i | ||||
\(540\) | 3.93975 | + | 2.53192i | 0.169540 | + | 0.108957i | ||||
\(541\) | −1.37406 | − | 0.883055i | −0.0590754 | − | 0.0379655i | 0.510770 | − | 0.859718i | \(-0.329360\pi\) |
−0.569845 | + | 0.821752i | \(0.692997\pi\) | |||||||
\(542\) | −15.6161 | + | 18.0219i | −0.670768 | + | 0.774107i | ||||
\(543\) | 10.8857 | + | 3.19633i | 0.467150 | + | 0.137168i | ||||
\(544\) | −0.0996854 | − | 0.693327i | −0.00427398 | − | 0.0297262i | ||||
\(545\) | −21.9503 | − | 25.3321i | −0.940250 | − | 1.08511i | ||||
\(546\) | −1.27098 | − | 2.78305i | −0.0543928 | − | 0.119104i | ||||
\(547\) | −3.53445 | + | 1.03781i | −0.151122 | + | 0.0443735i | −0.356419 | − | 0.934326i | \(-0.616002\pi\) |
0.205296 | + | 0.978700i | \(0.434184\pi\) | |||||||
\(548\) | 5.53402 | − | 12.1178i | 0.236402 | − | 0.517647i | ||||
\(549\) | 0.491189 | − | 3.41629i | 0.0209634 | − | 0.145804i | ||||
\(550\) | 3.41670 | − | 2.19578i | 0.145689 | − | 0.0936284i | ||||
\(551\) | −0.176902 | −0.00753627 | ||||||||
\(552\) | 10.5166 | + | 1.90905i | 0.447618 | + | 0.0812547i | ||||
\(553\) | −15.9638 | −0.678852 | ||||||||
\(554\) | 6.96534 | − | 4.47635i | 0.295929 | − | 0.190182i | ||||
\(555\) | 6.01959 | − | 41.8672i | 0.255517 | − | 1.77716i | ||||
\(556\) | 3.28343 | − | 7.18970i | 0.139248 | − | 0.304911i | ||||
\(557\) | 10.8060 | − | 3.17292i | 0.457864 | − | 0.134441i | −0.0446640 | − | 0.999002i | \(-0.514222\pi\) |
0.502528 | + | 0.864561i | \(0.332404\pi\) | |||||||
\(558\) | 4.20075 | + | 9.19835i | 0.177832 | + | 0.389397i | ||||
\(559\) | −0.521991 | − | 0.602410i | −0.0220779 | − | 0.0254792i | ||||
\(560\) | −0.289532 | − | 2.01374i | −0.0122350 | − | 0.0850960i | ||||
\(561\) | 7.06542 | + | 2.07459i | 0.298302 | + | 0.0875894i | ||||
\(562\) | −9.74267 | + | 11.2436i | −0.410970 | + | 0.474284i | ||||
\(563\) | 17.2780 | + | 11.1039i | 0.728179 | + | 0.467972i | 0.851473 | − | 0.524398i | \(-0.175710\pi\) |
−0.123294 | + | 0.992370i | \(0.539346\pi\) | |||||||
\(564\) | 5.32909 | + | 3.42480i | 0.224395 | + | 0.144210i | ||||
\(565\) | 6.12081 | − | 7.06380i | 0.257505 | − | 0.297176i | ||||
\(566\) | −7.98106 | − | 2.34345i | −0.335469 | − | 0.0985026i | ||||
\(567\) | −1.56999 | − | 10.9195i | −0.0659332 | − | 0.458576i | ||||
\(568\) | 6.98104 | + | 8.05655i | 0.292918 | + | 0.338045i | ||||
\(569\) | 1.88435 | + | 4.12616i | 0.0789963 | + | 0.172978i | 0.945009 | − | 0.327044i | \(-0.106053\pi\) |
−0.866013 | + | 0.500022i | \(0.833325\pi\) | |||||||
\(570\) | −0.461615 | + | 0.135542i | −0.0193349 | + | 0.00567725i | ||||
\(571\) | −12.3906 | + | 27.1316i | −0.518530 | + | 1.13542i | 0.451463 | + | 0.892290i | \(0.350902\pi\) |
−0.969993 | + | 0.243133i | \(0.921825\pi\) | |||||||
\(572\) | 0.921540 | − | 6.40945i | 0.0385315 | − | 0.267993i | ||||
\(573\) | −12.6497 | + | 8.12946i | −0.528448 | + | 0.339613i | ||||
\(574\) | −7.16602 | −0.299104 | ||||||||
\(575\) | 3.81672 | − | 1.57615i | 0.159168 | − | 0.0657299i | ||||
\(576\) | 1.96714 | 0.0819640 | ||||||||
\(577\) | −3.75249 | + | 2.41158i | −0.156218 | + | 0.100395i | −0.616415 | − | 0.787422i | \(-0.711415\pi\) |
0.460196 | + | 0.887817i | \(0.347779\pi\) | |||||||
\(578\) | −2.34953 | + | 16.3413i | −0.0977274 | + | 0.679709i | ||||
\(579\) | 19.8968 | − | 43.5678i | 0.826881 | − | 1.81062i | ||||
\(580\) | −3.25447 | + | 0.955600i | −0.135135 | + | 0.0396791i | ||||
\(581\) | 0.931793 | + | 2.04034i | 0.0386573 | + | 0.0846477i | ||||
\(582\) | −23.0373 | − | 26.5865i | −0.954927 | − | 1.10204i | ||||
\(583\) | −3.35328 | − | 23.3226i | −0.138879 | − | 0.965923i | ||||
\(584\) | −6.29960 | − | 1.84973i | −0.260679 | − | 0.0765424i | ||||
\(585\) | −3.59776 | + | 4.15204i | −0.148749 | + | 0.171666i | ||||
\(586\) | −15.8206 | − | 10.1673i | −0.653544 | − | 0.420007i | ||||
\(587\) | 10.1504 | + | 6.52329i | 0.418954 | + | 0.269245i | 0.733089 | − | 0.680133i | \(-0.238078\pi\) |
−0.314135 | + | 0.949378i | \(0.601714\pi\) | |||||||
\(588\) | −1.45949 | + | 1.68434i | −0.0601885 | + | 0.0694612i | ||||
\(589\) | 0.523348 | + | 0.153669i | 0.0215642 | + | 0.00633182i | ||||
\(590\) | 4.15337 | + | 28.8873i | 0.170991 | + | 1.18927i | ||||
\(591\) | −32.4132 | − | 37.4069i | −1.33330 | − | 1.53871i | ||||
\(592\) | 3.87525 | + | 8.48562i | 0.159272 | + | 0.348757i | ||||
\(593\) | −13.7703 | + | 4.04332i | −0.565478 | + | 0.166039i | −0.551962 | − | 0.833869i | \(-0.686121\pi\) |
−0.0135160 | + | 0.999909i | \(0.504302\pi\) | |||||||
\(594\) | 4.51065 | − | 9.87696i | 0.185074 | − | 0.405256i | ||||
\(595\) | 0.202805 | − | 1.41054i | 0.00831418 | − | 0.0578264i | ||||
\(596\) | −0.661777 | + | 0.425299i | −0.0271075 | + | 0.0174209i | ||||
\(597\) | 45.5106 | 1.86263 | ||||||||
\(598\) | 2.08581 | − | 6.24450i | 0.0852950 | − | 0.255357i | ||||
\(599\) | 28.0002 | 1.14406 | 0.572029 | − | 0.820234i | \(-0.306157\pi\) | ||||
0.572029 | + | 0.820234i | \(0.306157\pi\) | |||||||
\(600\) | 1.61435 | − | 1.03748i | 0.0659057 | − | 0.0423550i | ||||
\(601\) | −3.78748 | + | 26.3425i | −0.154495 | + | 1.07453i | 0.754071 | + | 0.656793i | \(0.228087\pi\) |
−0.908566 | + | 0.417741i | \(0.862822\pi\) | |||||||
\(602\) | −0.241209 | + | 0.528174i | −0.00983095 | + | 0.0215268i | ||||
\(603\) | −9.35186 | + | 2.74595i | −0.380837 | + | 0.111824i | ||||
\(604\) | −0.926757 | − | 2.02932i | −0.0377092 | − | 0.0825717i | ||||
\(605\) | 14.9877 | + | 17.2967i | 0.609335 | + | 0.703210i | ||||
\(606\) | −1.97950 | − | 13.7677i | −0.0804115 | − | 0.559274i | ||||
\(607\) | −9.87425 | − | 2.89934i | −0.400783 | − | 0.117681i | 0.0751279 | − | 0.997174i | \(-0.476063\pi\) |
−0.475911 | + | 0.879493i | \(0.657882\pi\) | |||||||
\(608\) | 0.0694846 | − | 0.0801894i | 0.00281797 | − | 0.00325211i | ||||
\(609\) | 3.12588 | + | 2.00888i | 0.126667 | + | 0.0814041i | ||||
\(610\) | −3.00287 | − | 1.92983i | −0.121583 | − | 0.0781364i | ||||
\(611\) | 2.55520 | − | 2.94886i | 0.103372 | − | 0.119298i | ||||
\(612\) | 1.32208 | + | 0.388198i | 0.0534419 | + | 0.0156920i | ||||
\(613\) | −2.83443 | − | 19.7139i | −0.114482 | − | 0.796237i | −0.963468 | − | 0.267823i | \(-0.913696\pi\) |
0.848987 | − | 0.528414i | \(-0.177213\pi\) | |||||||
\(614\) | −11.3965 | − | 13.1523i | −0.459925 | − | 0.530782i | ||||
\(615\) | 13.4977 | + | 29.5558i | 0.544279 | + | 1.19180i | ||||
\(616\) | −4.52588 | + | 1.32892i | −0.182353 | + | 0.0535437i | ||||
\(617\) | −6.86059 | + | 15.0226i | −0.276197 | + | 0.604787i | −0.995996 | − | 0.0893953i | \(-0.971507\pi\) |
0.719799 | + | 0.694182i | \(0.244234\pi\) | |||||||
\(618\) | −3.74096 | + | 26.0189i | −0.150483 | + | 1.04663i | ||||
\(619\) | −36.9314 | + | 23.7344i | −1.48440 | + | 0.953966i | −0.487682 | + | 0.873022i | \(0.662157\pi\) |
−0.996719 | + | 0.0809445i | \(0.974206\pi\) | |||||||
\(620\) | 10.4582 | 0.420010 | ||||||||
\(621\) | 6.30594 | − | 9.06154i | 0.253049 | − | 0.363627i | ||||
\(622\) | −25.8856 | −1.03792 | ||||||||
\(623\) | 11.2397 | − | 7.22332i | 0.450309 | − | 0.289396i | ||||
\(624\) | 0.435418 | − | 3.02840i | 0.0174307 | − | 0.121233i | ||||
\(625\) | −8.28897 | + | 18.1503i | −0.331559 | + | 0.726013i | ||||
\(626\) | −22.2721 | + | 6.53968i | −0.890172 | + | 0.261378i | ||||
\(627\) | 0.463379 | + | 1.01466i | 0.0185056 | + | 0.0405215i | ||||
\(628\) | 2.54494 | + | 2.93702i | 0.101554 | + | 0.117200i | ||||
\(629\) | 0.929928 | + | 6.46779i | 0.0370787 | + | 0.257888i | ||||
\(630\) | 3.83992 | + | 1.12750i | 0.152986 | + | 0.0449208i | ||||
\(631\) | 9.81607 | − | 11.3284i | 0.390772 | − | 0.450975i | −0.525941 | − | 0.850521i | \(-0.676287\pi\) |
0.916713 | + | 0.399546i | \(0.130832\pi\) | |||||||
\(632\) | −13.4296 | − | 8.63071i | −0.534202 | − | 0.343311i | ||||
\(633\) | −36.3545 | − | 23.3636i | −1.44496 | − | 0.928620i | ||||
\(634\) | −13.8127 | + | 15.9407i | −0.548572 | + | 0.633086i | ||||
\(635\) | −27.0138 | − | 7.93198i | −1.07201 | − | 0.314771i | ||||
\(636\) | −1.58439 | − | 11.0197i | −0.0628251 | − | 0.436958i | ||||
\(637\) | 0.898983 | + | 1.03748i | 0.0356190 | + | 0.0411065i | ||||
\(638\) | 3.26690 | + | 7.15352i | 0.129338 | + | 0.283211i | ||||
\(639\) | −20.1209 | + | 5.90803i | −0.795971 | + | 0.233718i | ||||
\(640\) | 0.845139 | − | 1.85060i | 0.0334071 | − | 0.0731513i | ||||
\(641\) | 2.27305 | − | 15.8094i | 0.0897801 | − | 0.624434i | −0.894401 | − | 0.447267i | \(-0.852397\pi\) |
0.984181 | − | 0.177168i | \(-0.0566935\pi\) | |||||||
\(642\) | 14.3598 | − | 9.22847i | 0.566735 | − | 0.364219i | ||||
\(643\) | −1.91827 | −0.0756491 | −0.0378245 | − | 0.999284i | \(-0.512043\pi\) | ||||
−0.0378245 | + | 0.999284i | \(0.512043\pi\) | |||||||
\(644\) | −4.76890 | + | 0.507539i | −0.187921 | + | 0.0199999i | ||||
\(645\) | 2.63276 | 0.103665 | ||||||||
\(646\) | 0.0625241 | − | 0.0401818i | 0.00245998 | − | 0.00158093i | ||||
\(647\) | 2.12763 | − | 14.7980i | 0.0836458 | − | 0.581769i | −0.904292 | − | 0.426915i | \(-0.859600\pi\) |
0.987937 | − | 0.154854i | \(-0.0494907\pi\) | |||||||
\(648\) | 4.58277 | − | 10.0349i | 0.180028 | − | 0.394207i | ||||
\(649\) | 64.9243 | − | 19.0635i | 2.54850 | − | 0.748308i | ||||
\(650\) | −0.491025 | − | 1.07519i | −0.0192596 | − | 0.0421726i | ||||
\(651\) | −7.50260 | − | 8.65846i | −0.294050 | − | 0.339352i | ||||
\(652\) | 0.176863 | + | 1.23011i | 0.00692648 | + | 0.0481747i | ||||
\(653\) | −34.9979 | − | 10.2763i | −1.36958 | − | 0.402144i | −0.487447 | − | 0.873153i | \(-0.662072\pi\) |
−0.882128 | + | 0.471009i | \(0.843890\pi\) | |||||||
\(654\) | −24.0463 | + | 27.7509i | −0.940285 | + | 1.08515i | ||||
\(655\) | −13.5440 | − | 8.70419i | −0.529207 | − | 0.340101i | ||||
\(656\) | −6.02844 | − | 3.87424i | −0.235371 | − | 0.151264i | ||||
\(657\) | 8.45775 | − | 9.76076i | 0.329968 | − | 0.380804i | ||||
\(658\) | −2.72719 | − | 0.800775i | −0.106317 | − | 0.0312175i | ||||
\(659\) | 0.675213 | + | 4.69621i | 0.0263026 | + | 0.182938i | 0.998737 | − | 0.0502367i | \(-0.0159976\pi\) |
−0.972435 | + | 0.233175i | \(0.925088\pi\) | |||||||
\(660\) | 14.0059 | + | 16.1636i | 0.545177 | + | 0.629168i | ||||
\(661\) | −4.46975 | − | 9.78739i | −0.173853 | − | 0.380686i | 0.802568 | − | 0.596561i | \(-0.203467\pi\) |
−0.976421 | + | 0.215876i | \(0.930739\pi\) | |||||||
\(662\) | 28.4510 | − | 8.35397i | 1.10578 | − | 0.324686i | ||||
\(663\) | 0.890265 | − | 1.94941i | 0.0345750 | − | 0.0757088i | ||||
\(664\) | −0.319218 | + | 2.22021i | −0.0123881 | + | 0.0861609i | ||||
\(665\) | 0.181599 | − | 0.116706i | 0.00704209 | − | 0.00452568i | ||||
\(666\) | −18.3507 | −0.711074 | ||||||||
\(667\) | 1.96908 | + | 7.74945i | 0.0762432 | + | 0.300060i | ||||
\(668\) | −0.936757 | −0.0362442 | ||||||||
\(669\) | −36.3793 | + | 23.3795i | −1.40650 | + | 0.903905i | ||||
\(670\) | −1.43456 | + | 9.97756i | −0.0554218 | + | 0.385467i | ||||
\(671\) | −3.43801 | + | 7.52820i | −0.132723 | + | 0.290623i | ||||
\(672\) | −2.13843 | + | 0.627899i | −0.0824917 | + | 0.0242217i | ||||
\(673\) | −2.51166 | − | 5.49976i | −0.0968173 | − | 0.212000i | 0.855026 | − | 0.518585i | \(-0.173541\pi\) |
−0.951843 | + | 0.306585i | \(0.900814\pi\) | |||||||
\(674\) | 12.1950 | + | 14.0738i | 0.469736 | + | 0.542104i | ||||
\(675\) | −0.282075 | − | 1.96188i | −0.0108571 | − | 0.0755126i | ||||
\(676\) | 10.6652 | + | 3.13159i | 0.410200 | + | 0.120446i | ||||
\(677\) | −7.58655 | + | 8.75534i | −0.291575 | + | 0.336495i | −0.882571 | − | 0.470179i | \(-0.844189\pi\) |
0.590996 | + | 0.806674i | \(0.298735\pi\) | |||||||
\(678\) | −8.61379 | − | 5.53574i | −0.330810 | − | 0.212599i | ||||
\(679\) | 13.2787 | + | 8.53372i | 0.509591 | + | 0.327494i | ||||
\(680\) | 0.933204 | − | 1.07697i | 0.0357867 | − | 0.0413001i | ||||
\(681\) | 26.7236 | + | 7.84677i | 1.02405 | + | 0.300689i | ||||
\(682\) | −3.45081 | − | 24.0009i | −0.132138 | − | 0.919043i | ||||
\(683\) | −23.7058 | − | 27.3579i | −0.907076 | − | 1.04682i | −0.998697 | − | 0.0510278i | \(-0.983750\pi\) |
0.0916210 | − | 0.995794i | \(-0.470795\pi\) | |||||||
\(684\) | 0.0867074 | + | 0.189863i | 0.00331534 | + | 0.00725958i | ||||
\(685\) | 26.0044 | − | 7.63557i | 0.993576 | − | 0.291740i | ||||
\(686\) | 0.415415 | − | 0.909632i | 0.0158606 | − | 0.0347299i | ||||
\(687\) | −4.72277 | + | 32.8476i | −0.180185 | + | 1.25321i | ||||
\(688\) | −0.488470 | + | 0.313921i | −0.0186228 | + | 0.0119681i | ||||
\(689\) | −6.85743 | −0.261247 | ||||||||
\(690\) | 11.0759 | + | 18.7131i | 0.421651 | + | 0.712394i | ||||
\(691\) | −20.0663 | −0.763360 | −0.381680 | − | 0.924295i | \(-0.624654\pi\) | ||||
−0.381680 | + | 0.924295i | \(0.624654\pi\) | |||||||
\(692\) | −15.8195 | + | 10.1666i | −0.601366 | + | 0.386474i | ||||
\(693\) | 1.32052 | − | 9.18445i | 0.0501626 | − | 0.348888i | ||||
\(694\) | 13.4591 | − | 29.4713i | 0.510900 | − | 1.11871i | ||||
\(695\) | 15.4288 | − | 4.53031i | 0.585249 | − | 0.171845i | ||||
\(696\) | 1.54358 | + | 3.37996i | 0.0585091 | + | 0.128117i | ||||
\(697\) | −3.28706 | − | 3.79348i | −0.124506 | − | 0.143688i | ||||
\(698\) | 0.481512 | + | 3.34899i | 0.0182255 | + | 0.126761i | ||||
\(699\) | 27.0496 | + | 7.94248i | 1.02311 | + | 0.300412i | ||||
\(700\) | −0.563855 | + | 0.650724i | −0.0213117 | + | 0.0245950i | ||||
\(701\) | −15.5146 | − | 9.97063i | −0.585978 | − | 0.376585i | 0.213803 | − | 0.976877i | \(-0.431415\pi\) |
−0.799781 | + | 0.600291i | \(0.795051\pi\) | |||||||
\(702\) | −2.65843 | − | 1.70847i | −0.100336 | − | 0.0644821i | ||||
\(703\) | −0.648195 | + | 0.748057i | −0.0244471 | + | 0.0282135i | ||||
\(704\) | −4.52588 | − | 1.32892i | −0.170576 | − | 0.0500855i | ||||
\(705\) | 1.83410 | + | 12.7564i | 0.0690762 | + | 0.480435i | ||||
\(706\) | −9.15193 | − | 10.5619i | −0.344437 | − | 0.397502i | ||||
\(707\) | 2.59259 | + | 5.67698i | 0.0975043 | + | 0.213505i | ||||
\(708\) | 30.6760 | − | 9.00729i | 1.15288 | − | 0.338515i | ||||
\(709\) | −13.8612 | + | 30.3519i | −0.520570 | + | 1.13989i | 0.448653 | + | 0.893706i | \(0.351904\pi\) |
−0.969223 | + | 0.246184i | \(0.920823\pi\) | |||||||
\(710\) | −3.08651 | + | 21.4671i | −0.115835 | + | 0.805647i | ||||
\(711\) | 26.4179 | − | 16.9778i | 0.990750 | − | 0.636716i | ||||
\(712\) | 13.3607 | 0.500712 | ||||||||
\(713\) | 0.906340 | − | 24.6366i | 0.0339427 | − | 0.922646i | ||||
\(714\) | −1.56111 | −0.0584232 | ||||||||
\(715\) | 11.0825 | − | 7.12228i | 0.414462 | − | 0.266358i | ||||
\(716\) | −0.116049 | + | 0.807136i | −0.00433694 | + | 0.0301641i | ||||
\(717\) | 23.0675 | − | 50.5107i | 0.861471 | − | 1.88636i | ||||
\(718\) | 7.53290 | − | 2.21186i | 0.281125 | − | 0.0825459i | ||||
\(719\) | −9.30965 | − | 20.3853i | −0.347191 | − | 0.760243i | −0.999996 | − | 0.00271686i | \(-0.999135\pi\) |
0.652805 | − | 0.757526i | \(-0.273592\pi\) | |||||||
\(720\) | 2.62077 | + | 3.02453i | 0.0976705 | + | 0.112718i | ||||
\(721\) | −1.67853 | − | 11.6744i | −0.0625118 | − | 0.434779i | ||||
\(722\) | −18.2196 | − | 5.34975i | −0.678062 | − | 0.199097i | ||||
\(723\) | −1.91893 | + | 2.21456i | −0.0713657 | + | 0.0823604i | ||||
\(724\) | −4.28241 | − | 2.75214i | −0.159154 | − | 0.102282i | ||||
\(725\) | 1.20764 | + | 0.776105i | 0.0448507 | + | 0.0288238i | ||||
\(726\) | 16.4188 | − | 18.9483i | 0.609358 | − | 0.703236i | ||||
\(727\) | −19.2263 | − | 5.64536i | −0.713066 | − | 0.209375i | −0.0949726 | − | 0.995480i | \(-0.530276\pi\) |
−0.618093 | + | 0.786105i | \(0.712095\pi\) | |||||||
\(728\) | 0.195368 | + | 1.35881i | 0.00724081 | + | 0.0503609i | ||||
\(729\) | 4.13211 | + | 4.76871i | 0.153041 | + | 0.176619i | ||||
\(730\) | −5.54881 | − | 12.1502i | −0.205371 | − | 0.449699i | ||||
\(731\) | −0.390243 | + | 0.114586i | −0.0144336 | + | 0.00423810i | ||||
\(732\) | −1.62442 | + | 3.55699i | −0.0600404 | + | 0.131470i | ||||
\(733\) | −3.53439 | + | 24.5822i | −0.130546 | + | 0.907966i | 0.814299 | + | 0.580446i | \(0.197122\pi\) |
−0.944844 | + | 0.327520i | \(0.893787\pi\) | |||||||
\(734\) | 14.4057 | − | 9.25795i | 0.531723 | − | 0.341717i | ||||
\(735\) | −4.53418 | −0.167246 | ||||||||
\(736\) | −4.28625 | − | 2.15129i | −0.157993 | − | 0.0792977i | ||||
\(737\) | 23.3713 | 0.860893 | ||||||||
\(738\) | 11.8588 | − | 7.62116i | 0.436527 | − | 0.280539i | ||||
\(739\) | 4.85864 | − | 33.7926i | 0.178728 | − | 1.24308i | −0.680983 | − | 0.732299i | \(-0.738447\pi\) |
0.859711 | − | 0.510781i | \(-0.170644\pi\) | |||||||
\(740\) | −7.88399 | + | 17.2635i | −0.289821 | + | 0.634620i | ||||
\(741\) | 0.311485 | − | 0.0914602i | 0.0114427 | − | 0.00335987i | ||||
\(742\) | 2.07511 | + | 4.54385i | 0.0761796 | + | 0.166810i | ||||
\(743\) | −20.4301 | − | 23.5776i | −0.749509 | − | 0.864980i | 0.245011 | − | 0.969520i | \(-0.421208\pi\) |
−0.994521 | + | 0.104540i | \(0.966663\pi\) | |||||||
\(744\) | −1.63047 | − | 11.3402i | −0.0597760 | − | 0.415751i | ||||
\(745\) | −1.53558 | − | 0.450887i | −0.0562594 | − | 0.0165192i | ||||
\(746\) | −2.49506 | + | 2.87946i | −0.0913508 | + | 0.105424i | ||||
\(747\) | −3.71192 | − | 2.38551i | −0.135812 | − | 0.0872812i | ||||
\(748\) | −2.77952 | − | 1.78629i | −0.101629 | − | 0.0653132i | ||||
\(749\) | −5.01553 | + | 5.78823i | −0.183263 | + | 0.211497i | ||||
\(750\) | 25.4985 | + | 7.48704i | 0.931074 | + | 0.273388i | ||||
\(751\) | −4.44637 | − | 30.9252i | −0.162250 | − | 1.12848i | −0.894379 | − | 0.447310i | \(-0.852382\pi\) |
0.732129 | − | 0.681166i | \(-0.238527\pi\) | |||||||
\(752\) | −1.86133 | − | 2.14808i | −0.0678756 | − | 0.0783326i | ||||
\(753\) | −27.1313 | − | 59.4092i | −0.988719 | − | 2.16499i | ||||
\(754\) | 2.19603 | − | 0.644811i | 0.0799745 | − | 0.0234826i | ||||
\(755\) | 1.88544 | − | 4.12853i | 0.0686181 | − | 0.150253i | ||||
\(756\) | −0.327602 | + | 2.27852i | −0.0119148 | + | 0.0828690i | ||||
\(757\) | 38.0937 | − | 24.4814i | 1.38454 | − | 0.889790i | 0.385088 | − | 0.922880i | \(-0.374171\pi\) |
0.999452 | + | 0.0330896i | \(0.0105347\pi\) | |||||||
\(758\) | 28.4631 | 1.03382 | ||||||||
\(759\) | 39.2908 | − | 31.5931i | 1.42617 | − | 1.14676i | ||||
\(760\) | 0.215867 | 0.00783030 | ||||||||
\(761\) | −35.4668 | + | 22.7931i | −1.28567 | + | 0.826251i | −0.991576 | − | 0.129526i | \(-0.958655\pi\) |
−0.294095 | + | 0.955776i | \(0.595018\pi\) | |||||||
\(762\) | −4.38936 | + | 30.5287i | −0.159010 | + | 1.10594i | ||||
\(763\) | 6.84429 | − | 14.9869i | 0.247780 | − | 0.542563i | ||||
\(764\) | 6.47354 | − | 1.90080i | 0.234204 | − | 0.0687686i | ||||
\(765\) | 1.16451 | + | 2.54993i | 0.0421031 | + | 0.0921928i | ||||
\(766\) | −21.5053 | − | 24.8184i | −0.777017 | − | 0.896725i | ||||
\(767\) | −2.80257 | − | 19.4923i | −0.101195 | − | 0.703827i | ||||
\(768\) | −2.13843 | − | 0.627899i | −0.0771639 | − | 0.0226574i | ||||
\(769\) | −11.5505 | + | 13.3300i | −0.416521 | + | 0.480691i | −0.924774 | − | 0.380517i | \(-0.875746\pi\) |
0.508253 | + | 0.861208i | \(0.330292\pi\) | |||||||
\(770\) | −8.07299 | − | 5.18820i | −0.290930 | − | 0.186970i | ||||
\(771\) | 21.6499 | + | 13.9136i | 0.779702 | + | 0.501084i | ||||
\(772\) | −14.0733 | + | 16.2415i | −0.506509 | + | 0.584543i | ||||
\(773\) | 11.2030 | + | 3.28949i | 0.402943 | + | 0.118315i | 0.476923 | − | 0.878945i | \(-0.341752\pi\) |
−0.0739804 | + | 0.997260i | \(0.523570\pi\) | |||||||
\(774\) | −0.162553 | − | 1.13058i | −0.00584286 | − | 0.0406380i | ||||
\(775\) | −2.89853 | − | 3.34508i | −0.104118 | − | 0.120159i | ||||
\(776\) | 6.55710 | + | 14.3580i | 0.235386 | + | 0.515424i | ||||
\(777\) | 19.9486 | − | 5.85744i | 0.715652 | − | 0.210134i | ||||
\(778\) | −0.658988 | + | 1.44298i | −0.0236259 | + | 0.0517334i | ||||
\(779\) | 0.108210 | − | 0.752617i | 0.00387703 | − | 0.0269653i | ||||
\(780\) | 5.23635 | − | 3.36520i | 0.187491 | − | 0.120493i | ||||
\(781\) | 50.2843 | 1.79932 | ||||||||
\(782\) | −2.45618 | − | 2.29170i | −0.0878328 | − | 0.0819512i | ||||
\(783\) | 3.83786 | 0.137154 | ||||||||
\(784\) | 0.841254 | − | 0.540641i | 0.0300448 | − | 0.0193086i | ||||
\(785\) | −1.12519 | + | 7.82585i | −0.0401596 | + | 0.279316i | ||||
\(786\) | −7.32671 | + | 16.0432i | −0.261335 | + | 0.572244i | ||||
\(787\) | −44.7791 | + | 13.1483i | −1.59620 | + | 0.468687i | −0.954486 | − | 0.298255i | \(-0.903596\pi\) |
−0.641716 | + | 0.766942i | \(0.721777\pi\) | |||||||
\(788\) | 9.22577 | + | 20.2016i | 0.328655 | + | 0.719653i | ||||
\(789\) | 45.0213 | + | 51.9574i | 1.60280 | + | 1.84973i | ||||
\(790\) | −4.62204 | − | 32.1470i | −0.164445 | − | 1.14374i | ||||
\(791\) | 4.40815 | + | 1.29435i | 0.156736 | + | 0.0460217i | ||||
\(792\) | 6.07638 | − | 7.01252i | 0.215915 | − | 0.249179i | ||||
\(793\) | 2.02625 | + | 1.30219i | 0.0719543 | + | 0.0462422i | ||||
\(794\) | 5.50381 | + | 3.53708i | 0.195323 | + | 0.125526i | ||||
\(795\) | 14.8322 | − | 17.1173i | 0.526045 | − | 0.607089i | ||||
\(796\) | −19.5930 | − | 5.75303i | −0.694457 | − | 0.203911i | ||||
\(797\) | −5.61995 | − | 39.0876i | −0.199069 | − | 1.38455i | −0.806994 | − | 0.590560i | \(-0.798907\pi\) |
0.607925 | − | 0.793995i | \(-0.292002\pi\) | |||||||
\(798\) | −0.154861 | − | 0.178719i | −0.00548201 | − | 0.00632658i | ||||
\(799\) | −0.827060 | − | 1.81101i | −0.0292593 | − | 0.0640689i | ||||
\(800\) | −0.826153 | + | 0.242580i | −0.0292089 | + | 0.00857651i | ||||
\(801\) | −10.9180 | + | 23.9072i | −0.385770 | + | 0.844719i | ||||
\(802\) | 2.38725 | − | 16.6037i | 0.0842968 | − | 0.586297i | ||||
\(803\) | −26.0531 | + | 16.7433i | −0.919395 | + | 0.590859i | ||||
\(804\) | 11.0427 | 0.389445 | ||||||||
\(805\) | −7.13386 | − | 6.65615i | −0.251436 | − | 0.234598i | ||||
\(806\) | −7.05688 | −0.248568 | ||||||||
\(807\) | 27.5390 | − | 17.6983i | 0.969420 | − | 0.623009i | ||||
\(808\) | −0.888181 | + | 6.17743i | −0.0312461 | + | 0.217321i | ||||
\(809\) | −15.6679 | + | 34.3079i | −0.550854 | + | 1.20620i | 0.405528 | + | 0.914083i | \(0.367088\pi\) |
−0.956382 | + | 0.292119i | \(0.905640\pi\) | |||||||
\(810\) | 21.5344 | − | 6.32308i | 0.756643 | − | 0.222170i | ||||
\(811\) | 2.63498 | + | 5.76980i | 0.0925266 | + | 0.202605i | 0.950237 | − | 0.311528i | \(-0.100841\pi\) |
−0.857710 | + | 0.514133i | \(0.828114\pi\) | |||||||
\(812\) | −1.09180 | − | 1.26000i | −0.0383145 | − | 0.0442173i | ||||
\(813\) | 7.56356 | + | 52.6057i | 0.265266 | + | 1.84496i | ||||
\(814\) | 42.2203 | + | 12.3970i | 1.47982 | + | 0.434514i | ||||
\(815\) | −1.65570 | + | 1.91078i | −0.0579966 | + | 0.0669316i | ||||
\(816\) | −1.31329 | − | 0.844002i | −0.0459744 | − | 0.0295460i | ||||
\(817\) | −0.0518296 | − | 0.0333088i | −0.00181329 | − | 0.00116533i | ||||
\(818\) | 8.27042 | − | 9.54457i | 0.289168 | − | 0.333718i | ||||
\(819\) | −2.59107 | − | 0.760807i | −0.0905393 | − | 0.0265847i | ||||
\(820\) | −2.07479 | − | 14.4305i | −0.0724548 | − | 0.503934i | ||||
\(821\) | 8.71670 | + | 10.0596i | 0.304215 | + | 0.351083i | 0.887187 | − | 0.461409i | \(-0.152656\pi\) |
−0.582973 | + | 0.812492i | \(0.698111\pi\) | |||||||
\(822\) | −12.3337 | − | 27.0071i | −0.430187 | − | 0.941979i | ||||
\(823\) | 3.81098 | − | 1.11901i | 0.132842 | − | 0.0390061i | −0.214635 | − | 0.976694i | \(-0.568856\pi\) |
0.347478 | + | 0.937688i | \(0.387038\pi\) | |||||||
\(824\) | 4.89961 | − | 10.7287i | 0.170686 | − | 0.373750i | ||||
\(825\) | 1.28820 | − | 8.95963i | 0.0448494 | − | 0.311934i | ||||
\(826\) | −12.0679 | + | 7.75556i | −0.419895 | + | 0.269850i | ||||
\(827\) | −33.6333 | −1.16954 | −0.584772 | − | 0.811197i | \(-0.698816\pi\) | ||||
−0.584772 | + | 0.811197i | \(0.698816\pi\) | |||||||
\(828\) | 7.35209 | − | 5.91170i | 0.255503 | − | 0.205446i | ||||
\(829\) | 10.9147 | 0.379083 | 0.189541 | − | 0.981873i | \(-0.439300\pi\) | ||||
0.189541 | + | 0.981873i | \(0.439300\pi\) | |||||||
\(830\) | −3.83893 | + | 2.46713i | −0.133251 | + | 0.0856354i | ||||
\(831\) | 2.62614 | − | 18.2652i | 0.0911000 | − | 0.633614i | ||||
\(832\) | −0.570276 | + | 1.24873i | −0.0197708 | + | 0.0432919i | ||||
\(833\) | 0.672084 | − | 0.197342i | 0.0232863 | − | 0.00683748i | ||||
\(834\) | −7.31780 | − | 16.0237i | −0.253395 | − | 0.554857i | ||||
\(835\) | −1.24802 | − | 1.44029i | −0.0431895 | − | 0.0498434i | ||||
\(836\) | −0.0712280 | − | 0.495402i | −0.00246347 | − | 0.0171338i | ||||
\(837\) | −11.3540 | − | 3.33382i | −0.392450 | − | 0.115234i | ||||
\(838\) | 14.0694 | − | 16.2370i | 0.486019 | − | 0.560896i | ||||
\(839\) | 44.5583 | + | 28.6359i | 1.53832 | + | 0.988620i | 0.988137 | + | 0.153577i | \(0.0490793\pi\) |
0.550185 | + | 0.835043i | \(0.314557\pi\) | |||||||
\(840\) | −3.81440 | − | 2.45137i | −0.131609 | − | 0.0845801i | ||||
\(841\) | 17.1707 | − | 19.8160i | 0.592093 | − | 0.683312i | ||||
\(842\) | −23.5711 | − | 6.92110i | −0.812314 | − | 0.238517i | ||||
\(843\) | 4.71881 | + | 32.8200i | 0.162524 | + | 1.13038i | ||||
\(844\) | 12.6978 | + | 14.6540i | 0.437075 | + | 0.504411i | ||||
\(845\) | 9.39411 | + | 20.5702i | 0.323167 | + | 0.707638i | ||||
\(846\) | 5.36475 | − | 1.57523i | 0.184444 | − | 0.0541577i | ||||
\(847\) | −4.67327 | + | 10.2330i | −0.160575 | + | 0.351611i | ||||
\(848\) | −0.710900 | + | 4.94442i | −0.0244124 | + | 0.169792i | ||||
\(849\) | −15.5955 | + | 10.0226i | −0.535235 | + | 0.343975i | ||||
\(850\) | −0.603115 | −0.0206867 | ||||||||
\(851\) | 39.9848 | + | 20.0686i | 1.37066 | + | 0.687943i | ||||
\(852\) | 23.7588 | 0.813963 | ||||||||
\(853\) | −10.1877 | + | 6.54727i | −0.348822 | + | 0.224174i | −0.703305 | − | 0.710888i | \(-0.748293\pi\) |
0.354483 | + | 0.935062i | \(0.384657\pi\) | |||||||
\(854\) | 0.249697 | − | 1.73668i | 0.00854447 | − | 0.0594281i | ||||
\(855\) | −0.176401 | + | 0.386265i | −0.00603280 | + | 0.0132100i | ||||
\(856\) | −7.34868 | + | 2.15777i | −0.251173 | + | 0.0737510i | ||||
\(857\) | −17.7887 | − | 38.9519i | −0.607652 | − | 1.33057i | −0.924168 | − | 0.381985i | \(-0.875240\pi\) |
0.316516 | − | 0.948587i | \(-0.397487\pi\) | |||||||
\(858\) | −9.45075 | − | 10.9067i | −0.322643 | − | 0.372350i | ||||
\(859\) | −0.423485 | − | 2.94540i | −0.0144491 | − | 0.100496i | 0.981321 | − | 0.192379i | \(-0.0616204\pi\) |
−0.995770 | + | 0.0918834i | \(0.970711\pi\) | |||||||
\(860\) | −1.13344 | − | 0.332809i | −0.0386501 | − | 0.0113487i | ||||
\(861\) | −10.4588 | + | 12.0700i | −0.356433 | + | 0.411346i | ||||
\(862\) | 1.67352 | + | 1.07551i | 0.0570005 | + | 0.0366320i | ||||
\(863\) | 44.2933 | + | 28.4656i | 1.50776 | + | 0.968979i | 0.993802 | + | 0.111165i | \(0.0354581\pi\) |
0.513959 | + | 0.857815i | \(0.328178\pi\) | |||||||
\(864\) | −1.50746 | + | 1.73970i | −0.0512847 | + | 0.0591857i | ||||
\(865\) | −36.7073 | − | 10.7782i | −1.24809 | − | 0.366471i | ||||
\(866\) | 4.76659 | + | 33.1524i | 0.161975 | + | 1.12656i | ||||
\(867\) | 24.0953 | + | 27.8075i | 0.818319 | + | 0.944391i | ||||
\(868\) | 2.13546 | + | 4.67601i | 0.0724823 | + | 0.158714i | ||||
\(869\) | −72.2505 | + | 21.2147i | −2.45093 | + | 0.719658i | ||||
\(870\) | −3.14032 | + | 6.87635i | −0.106467 | + | 0.233130i | ||||
\(871\) | 0.967998 | − | 6.73257i | 0.0327994 | − | 0.228124i | ||||
\(872\) | 13.8603 | − | 8.90749i | 0.469370 | − | 0.301646i | ||||
\(873\) | −31.0502 | −1.05089 | ||||||||
\(874\) | 0.0187077 | − | 0.508522i | 0.000632798 | − | 0.0172010i | ||||
\(875\) | −11.9239 | −0.403103 | ||||||||
\(876\) | −12.3098 | + | 7.91103i | −0.415910 | + | 0.267289i | ||||
\(877\) | −4.43152 | + | 30.8219i | −0.149642 | + | 1.04078i | 0.767165 | + | 0.641450i | \(0.221667\pi\) |
−0.916807 | + | 0.399331i | \(0.869242\pi\) | |||||||
\(878\) | 14.3242 | − | 31.3657i | 0.483420 | − | 1.05854i | ||||
\(879\) | −40.2153 | + | 11.8083i | −1.35643 | + | 0.398284i | ||||
\(880\) | −3.98648 | − | 8.72918i | −0.134384 | − | 0.294261i | ||||
\(881\) | 11.7303 | + | 13.5375i | 0.395204 | + | 0.456090i | 0.918125 | − | 0.396291i | \(-0.129703\pi\) |
−0.522920 | + | 0.852381i | \(0.675158\pi\) | |||||||
\(882\) | 0.279953 | + | 1.94711i | 0.00942650 | + | 0.0655627i | ||||
\(883\) | 35.0766 | + | 10.2994i | 1.18042 | + | 0.346603i | 0.812336 | − | 0.583189i | \(-0.198195\pi\) |
0.368085 | + | 0.929792i | \(0.380014\pi\) | |||||||
\(884\) | −0.629699 | + | 0.726712i | −0.0211791 | + | 0.0244420i | ||||
\(885\) | 54.7180 | + | 35.1651i | 1.83933 | + | 1.18206i | ||||
\(886\) | −23.3216 | − | 14.9879i | −0.783504 | − | 0.503528i | ||||
\(887\) | −31.3246 | + | 36.1505i | −1.05178 | + | 1.21381i | −0.0755319 | + | 0.997143i | \(0.524065\pi\) |
−0.976245 | + | 0.216671i | \(0.930480\pi\) | |||||||
\(888\) | 19.9486 | + | 5.85744i | 0.669431 | + | 0.196563i | ||||
\(889\) | −1.96947 | − | 13.6979i | −0.0660538 | − | 0.459414i | ||||
\(890\) | 17.8001 | + | 20.5424i | 0.596662 | + | 0.688584i | ||||
\(891\) | −21.6167 | − | 47.3340i | −0.724187 | − | 1.58575i | ||||
\(892\) | 18.6173 | − | 5.46652i | 0.623352 | − | 0.183033i | ||||
\(893\) | 0.125284 | − | 0.274333i | 0.00419246 | − | 0.00918021i | ||||
\(894\) | −0.249510 | + | 1.73538i | −0.00834487 | + | 0.0580398i | ||||
\(895\) | −1.39561 | + | 0.896902i | −0.0466500 | + | 0.0299801i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −7.47367 | − | 12.6270i | −0.249539 | − | 0.421604i | ||||
\(898\) | −26.9839 | −0.900464 | ||||||||
\(899\) | 7.20990 | − | 4.63352i | 0.240464 | − | 0.154537i | ||||
\(900\) | 0.241048 | − | 1.67653i | 0.00803493 | − | 0.0558842i | ||||
\(901\) | −1.45352 | + | 3.18277i | −0.0484239 | + | 0.106034i | ||||
\(902\) | −32.4326 | + | 9.52306i | −1.07989 | + | 0.317083i | ||||
\(903\) | 0.537584 | + | 1.17715i | 0.0178897 | + | 0.0391730i | ||||
\(904\) | 3.00859 | + | 3.47210i | 0.100064 | + | 0.115480i | ||||
\(905\) | −1.47386 | − | 10.2509i | −0.0489929 | − | 0.340753i | ||||
\(906\) | −4.77066 | − | 1.40079i | −0.158495 | − | 0.0465382i | ||||
\(907\) | −6.54318 | + | 7.55123i | −0.217263 | + | 0.250735i | −0.853910 | − | 0.520420i | \(-0.825775\pi\) |
0.636647 | + | 0.771155i | \(0.280321\pi\) | |||||||
\(908\) | −10.5130 | − | 6.75631i | −0.348887 | − | 0.224216i | ||||
\(909\) | −10.3279 | − | 6.63735i | −0.342555 | − | 0.220147i | ||||
\(910\) | −1.82893 | + | 2.11070i | −0.0606285 | + | 0.0699691i | ||||
\(911\) | −6.05805 | − | 1.77880i | −0.200712 | − | 0.0589344i | 0.179831 | − | 0.983697i | \(-0.442445\pi\) |
−0.380543 | + | 0.924763i | \(0.624263\pi\) | |||||||
\(912\) | −0.0336545 | − | 0.234072i | −0.00111441 | − | 0.00775089i | ||||
\(913\) | 6.92864 | + | 7.99608i | 0.229304 | + | 0.264631i | ||||
\(914\) | 0.768920 | + | 1.68370i | 0.0254336 | + | 0.0556918i | ||||
\(915\) | −7.63316 | + | 2.24130i | −0.252345 | + | 0.0740951i | ||||
\(916\) | 6.18552 | − | 13.5444i | 0.204375 | − | 0.447519i | ||||
\(917\) | 1.12622 | − | 7.83304i | 0.0371911 | − | 0.258670i | ||||
\(918\) | −1.35645 | + | 0.871738i | −0.0447696 | + | 0.0287717i | ||||
\(919\) | −26.0334 | −0.858764 | −0.429382 | − | 0.903123i | \(-0.641269\pi\) | ||||
−0.429382 | + | 0.903123i | \(0.641269\pi\) | |||||||
\(920\) | −2.40280 | − | 9.45637i | −0.0792179 | − | 0.311767i | ||||
\(921\) | −38.7861 | −1.27804 | ||||||||
\(922\) | 12.6843 | − | 8.15171i | 0.417736 | − | 0.268462i | ||||
\(923\) | 2.08269 | − | 14.4854i | 0.0685525 | − | 0.476793i | ||||
\(924\) | −4.36714 | + | 9.56270i | −0.143668 | + | 0.314590i | ||||
\(925\) | 7.70687 | − | 2.26294i | 0.253400 | − | 0.0744051i | ||||
\(926\) | 0.261863 | + | 0.573399i | 0.00860534 | + | 0.0188431i | ||||
\(927\) | 15.1937 | + | 17.5344i | 0.499026 | + | 0.575906i | ||||
\(928\) | −0.237270 | − | 1.65025i | −0.00778877 | − | 0.0541721i | ||||
\(929\) | −18.0533 | − | 5.30094i | −0.592311 | − | 0.173918i | −0.0281791 | − | 0.999603i | \(-0.508971\pi\) |
−0.564132 | + | 0.825685i | \(0.690789\pi\) | |||||||
\(930\) | 15.2636 | − | 17.6152i | 0.500514 | − | 0.577624i | ||||
\(931\) | 0.0892619 | + | 0.0573652i | 0.00292544 | + | 0.00188007i | ||||
\(932\) | −10.6413 | − | 6.83872i | −0.348566 | − | 0.224010i | ||||
\(933\) | −37.7799 | + | 43.6003i | −1.23686 | + | 1.42741i | ||||
\(934\) | −2.53212 | − | 0.743497i | −0.0828535 | − | 0.0243280i | ||||
\(935\) | −0.956620 | − | 6.65344i | −0.0312848 | − | 0.217591i | ||||
\(936\) | −1.76842 | − | 2.04087i | −0.0578027 | − | 0.0667079i | ||||
\(937\) | 24.9959 | + | 54.7334i | 0.816580 | + | 1.78806i | 0.576038 | + | 0.817423i | \(0.304598\pi\) |
0.240543 | + | 0.970639i | \(0.422675\pi\) | |||||||
\(938\) | −4.75404 | + | 1.39591i | −0.155225 | + | 0.0455782i | ||||
\(939\) | −21.4909 | + | 47.0585i | −0.701329 | + | 1.53570i | ||||
\(940\) | 0.822943 | − | 5.72369i | 0.0268414 | − | 0.186686i | ||||
\(941\) | 28.0446 | − | 18.0231i | 0.914226 | − | 0.587538i | 0.00324935 | − | 0.999995i | \(-0.498966\pi\) |
0.910977 | + | 0.412457i | \(0.135329\pi\) | |||||||
\(942\) | 8.66127 | 0.282199 | ||||||||
\(943\) | −34.1740 | + | 3.63704i | −1.11286 | + | 0.118438i | ||||
\(944\) | −14.3451 | −0.466894 | ||||||||
\(945\) | −3.93975 | + | 2.53192i | −0.128160 | + | 0.0823635i | ||||
\(946\) | −0.389783 | + | 2.71100i | −0.0126729 | + | 0.0881423i | ||||
\(947\) | −1.68284 | + | 3.68490i | −0.0546849 | + | 0.119743i | −0.935002 | − | 0.354643i | \(-0.884603\pi\) |
0.880317 | + | 0.474386i | \(0.157330\pi\) | |||||||
\(948\) | −34.1376 | + | 10.0237i | −1.10874 | + | 0.325554i | ||||
\(949\) | 3.74418 | + | 8.19860i | 0.121541 | + | 0.266138i | ||||
\(950\) | −0.0598283 | − | 0.0690456i | −0.00194109 | − | 0.00224013i | ||||
\(951\) | 6.69010 | + | 46.5307i | 0.216941 | + | 1.50886i | ||||
\(952\) | 0.672084 | + | 0.197342i | 0.0217824 | + | 0.00639588i | ||||
\(953\) | −17.5003 | + | 20.1964i | −0.566889 | + | 0.654225i | −0.964734 | − | 0.263228i | \(-0.915213\pi\) |
0.397844 | + | 0.917453i | \(0.369758\pi\) | |||||||
\(954\) | −8.26647 | − | 5.31254i | −0.267637 | − | 0.172000i | ||||
\(955\) | 11.5471 | + | 7.42087i | 0.373655 | + | 0.240134i | ||||
\(956\) | −16.3160 | + | 18.8297i | −0.527697 | + | 0.608995i | ||||
\(957\) | 16.8170 | + | 4.93792i | 0.543617 | + | 0.159620i | ||||
\(958\) | 2.85388 | + | 19.8491i | 0.0922046 | + | 0.641297i | ||||
\(959\) | 8.72383 | + | 10.0678i | 0.281707 | + | 0.325108i | ||||
\(960\) | −1.88357 | − | 4.12444i | −0.0607919 | − | 0.133116i | ||||
\(961\) | 4.38942 | − | 1.28885i | 0.141594 | − | 0.0415758i | ||||
\(962\) | 5.31989 | − | 11.6489i | 0.171520 | − | 0.375577i | ||||
\(963\) | 2.14414 | − | 14.9128i | 0.0690939 | − | 0.480558i | ||||
\(964\) | 1.10607 | − | 0.710830i | 0.0356242 | − | 0.0228943i | ||||
\(965\) | −43.7213 | −1.40744 | ||||||||
\(966\) | −6.10530 | + | 8.77322i | −0.196435 | + | 0.282274i | ||||
\(967\) | −36.8248 | −1.18421 | −0.592103 | − | 0.805862i | \(-0.701702\pi\) | ||||
−0.592103 | + | 0.805862i | \(0.701702\pi\) | |||||||
\(968\) | −9.46380 | + | 6.08202i | −0.304178 | + | 0.195483i | ||||
\(969\) | 0.0235735 | − | 0.163957i | 0.000757290 | − | 0.00526707i | ||||
\(970\) | −13.3401 | + | 29.2107i | −0.428324 | + | 0.937898i | ||||
\(971\) | 33.6444 | − | 9.87889i | 1.07970 | − | 0.317029i | 0.306942 | − | 0.951728i | \(-0.400694\pi\) |
0.772759 | + | 0.634700i | \(0.218876\pi\) | |||||||
\(972\) | −7.34486 | − | 16.0830i | −0.235586 | − | 0.515862i | ||||
\(973\) | 5.17600 | + | 5.97342i | 0.165935 | + | 0.191499i | ||||
\(974\) | −4.41616 | − | 30.7150i | −0.141503 | − | 0.984174i | ||||
\(975\) | −2.52765 | − | 0.742184i | −0.0809495 | − | 0.0237689i | ||||
\(976\) | 1.14898 | − | 1.32599i | 0.0367780 | − | 0.0424440i | ||||
\(977\) | −9.56194 | − | 6.14509i | −0.305914 | − | 0.196599i | 0.378673 | − | 0.925531i | \(-0.376381\pi\) |
−0.684586 | + | 0.728932i | \(0.740017\pi\) | |||||||
\(978\) | 2.33005 | + | 1.49743i | 0.0745069 | + | 0.0478827i | ||||
\(979\) | 41.2704 | − | 47.6286i | 1.31901 | − | 1.52222i | ||||
\(980\) | 1.95204 | + | 0.573170i | 0.0623555 | + | 0.0183092i | ||||
\(981\) | 4.61244 | + | 32.0803i | 0.147264 | + | 1.02424i | ||||
\(982\) | −28.6993 | − | 33.1207i | −0.915831 | − | 1.05693i | ||||
\(983\) | 1.60852 | + | 3.52217i | 0.0513038 | + | 0.112340i | 0.933548 | − | 0.358452i | \(-0.116695\pi\) |
−0.882244 | + | 0.470792i | \(0.843968\pi\) | |||||||
\(984\) | −15.3240 | + | 4.49954i | −0.488512 | + | 0.143440i | ||||
\(985\) | −18.7693 | + | 41.0991i | −0.598041 | + | 1.30953i | ||||
\(986\) | 0.166197 | − | 1.15593i | 0.00529281 | − | 0.0368123i | ||||
\(987\) | −5.32909 | + | 3.42480i | −0.169627 | + | 0.109013i | ||||
\(988\) | −0.145661 | −0.00463408 | ||||||||
\(989\) | −0.882233 | + | 2.64123i | −0.0280534 | + | 0.0839863i | ||||
\(990\) | 18.8774 | 0.599963 | ||||||||
\(991\) | −43.2981 | + | 27.8260i | −1.37541 | + | 0.883923i | −0.999094 | − | 0.0425682i | \(-0.986446\pi\) |
−0.376317 | + | 0.926491i | \(0.622810\pi\) | |||||||
\(992\) | −0.731577 | + | 5.08823i | −0.0232276 | + | 0.161551i | ||||
\(993\) | 27.4531 | − | 60.1138i | 0.871197 | − | 1.90766i | ||||
\(994\) | −10.2285 | + | 3.00337i | −0.324429 | + | 0.0952610i | ||||
\(995\) | −17.2579 | − | 37.7895i | −0.547112 | − | 1.19801i | ||||
\(996\) | 3.27370 | + | 3.77806i | 0.103731 | + | 0.119712i | ||||
\(997\) | 5.07976 | + | 35.3305i | 0.160878 | + | 1.11893i | 0.896984 | + | 0.442063i | \(0.145753\pi\) |
−0.736106 | + | 0.676866i | \(0.763338\pi\) | |||||||
\(998\) | 11.1560 | + | 3.27570i | 0.353138 | + | 0.103691i | ||||
\(999\) | 14.0625 | − | 16.2290i | 0.444918 | − | 0.513462i |
(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 | 322.2.i.b.127.1 | yes | 10 | |
23.2 | even | 11 | inner | 322.2.i.b.71.1 | ✓ | 10 | |
23.5 | odd | 22 | 7406.2.a.be.1.5 | 5 | |||
23.18 | even | 11 | 7406.2.a.bf.1.5 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.b.71.1 | ✓ | 10 | 23.2 | even | 11 | inner | |
322.2.i.b.127.1 | yes | 10 | 1.1 | even | 1 | trivial | |
7406.2.a.be.1.5 | 5 | 23.5 | odd | 22 | |||
7406.2.a.bf.1.5 | 5 | 23.18 | even | 11 |