Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,2,Mod(11,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.o (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.766563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 35.9 | ||
Character | \(\chi\) | \(=\) | 96.35 |
Dual form | 96.2.o.a.11.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.478581 | − | 1.33077i | 0.338408 | − | 0.941000i | ||||
\(3\) | 0.0499748 | − | 1.73133i | 0.0288530 | − | 0.999584i | ||||
\(4\) | −1.54192 | − | 1.27377i | −0.770961 | − | 0.636883i | ||||
\(5\) | −1.06973 | + | 0.443098i | −0.478400 | + | 0.198160i | −0.608834 | − | 0.793297i | \(-0.708363\pi\) |
0.130435 | + | 0.991457i | \(0.458363\pi\) | |||||||
\(6\) | −2.28009 | − | 0.895086i | −0.930844 | − | 0.365417i | ||||
\(7\) | 2.37247 | + | 2.37247i | 0.896708 | + | 0.896708i | 0.995143 | − | 0.0984354i | \(-0.0313838\pi\) |
−0.0984354 | + | 0.995143i | \(0.531384\pi\) | |||||||
\(8\) | −2.43303 | + | 1.44235i | −0.860206 | + | 0.509948i | ||||
\(9\) | −2.99501 | − | 0.173046i | −0.998335 | − | 0.0576820i | ||||
\(10\) | 0.0777099 | + | 1.63563i | 0.0245740 | + | 0.517232i | ||||
\(11\) | 5.50127 | − | 2.27870i | 1.65869 | − | 0.687054i | 0.660718 | − | 0.750635i | \(-0.270252\pi\) |
0.997977 | + | 0.0635809i | \(0.0202521\pi\) | |||||||
\(12\) | −2.28237 | + | 2.60592i | −0.658862 | + | 0.752264i | ||||
\(13\) | 0.346353 | − | 0.836171i | 0.0960612 | − | 0.231912i | −0.868543 | − | 0.495613i | \(-0.834943\pi\) |
0.964604 | + | 0.263701i | \(0.0849433\pi\) | |||||||
\(14\) | 4.29263 | − | 2.02180i | 1.14725 | − | 0.540349i | ||||
\(15\) | 0.713689 | + | 1.87421i | 0.184274 | + | 0.483918i | ||||
\(16\) | 0.755041 | + | 3.92809i | 0.188760 | + | 0.982023i | ||||
\(17\) | −0.685064 | −0.166152 | −0.0830762 | − | 0.996543i | \(-0.526474\pi\) | ||||
−0.0830762 | + | 0.996543i | \(0.526474\pi\) | |||||||
\(18\) | −1.66364 | + | 3.90286i | −0.392123 | + | 0.919913i | ||||
\(19\) | −3.35074 | − | 1.38792i | −0.768712 | − | 0.318411i | −0.0363614 | − | 0.999339i | \(-0.511577\pi\) |
−0.732351 | + | 0.680928i | \(0.761577\pi\) | |||||||
\(20\) | 2.21385 | + | 0.679368i | 0.495032 | + | 0.151911i | ||||
\(21\) | 4.22609 | − | 3.98896i | 0.922207 | − | 0.870462i | ||||
\(22\) | −0.399635 | − | 8.41149i | −0.0852024 | − | 1.79333i | ||||
\(23\) | 2.05133 | + | 2.05133i | 0.427732 | + | 0.427732i | 0.887855 | − | 0.460123i | \(-0.152195\pi\) |
−0.460123 | + | 0.887855i | \(0.652195\pi\) | |||||||
\(24\) | 2.37559 | + | 4.28446i | 0.484916 | + | 0.874561i | ||||
\(25\) | −2.58754 | + | 2.58754i | −0.517508 | + | 0.517508i | ||||
\(26\) | −0.946997 | − | 0.861094i | −0.185721 | − | 0.168874i | ||||
\(27\) | −0.449274 | + | 5.17669i | −0.0864629 | + | 0.996255i | ||||
\(28\) | −0.636189 | − | 6.68012i | −0.120228 | − | 1.26242i | ||||
\(29\) | −1.98869 | + | 4.80112i | −0.369291 | + | 0.891546i | 0.624576 | + | 0.780964i | \(0.285272\pi\) |
−0.993867 | + | 0.110582i | \(0.964728\pi\) | |||||||
\(30\) | 2.83570 | − | 0.0528009i | 0.517726 | − | 0.00964009i | ||||
\(31\) | 6.36503i | 1.14319i | 0.820535 | + | 0.571596i | \(0.193676\pi\) | ||||
−0.820535 | + | 0.571596i | \(0.806324\pi\) | |||||||
\(32\) | 5.58875 | + | 0.875120i | 0.987961 | + | 0.154701i | ||||
\(33\) | −3.67025 | − | 9.63838i | −0.638909 | − | 1.67783i | ||||
\(34\) | −0.327858 | + | 0.911666i | −0.0562273 | + | 0.156349i | ||||
\(35\) | −3.58914 | − | 1.48667i | −0.606676 | − | 0.251293i | ||||
\(36\) | 4.39764 | + | 4.08176i | 0.732940 | + | 0.680293i | ||||
\(37\) | 0.112738 | + | 0.272172i | 0.0185339 | + | 0.0447449i | 0.932876 | − | 0.360199i | \(-0.117291\pi\) |
−0.914342 | + | 0.404944i | \(0.867291\pi\) | |||||||
\(38\) | −3.45061 | + | 3.79484i | −0.559763 | + | 0.615605i | ||||
\(39\) | −1.43038 | − | 0.641440i | −0.229044 | − | 0.102713i | ||||
\(40\) | 1.96359 | − | 2.62100i | 0.310471 | − | 0.414417i | ||||
\(41\) | −3.26585 | + | 3.26585i | −0.510040 | + | 0.510040i | −0.914539 | − | 0.404499i | \(-0.867446\pi\) |
0.404499 | + | 0.914539i | \(0.367446\pi\) | |||||||
\(42\) | −3.28588 | − | 7.53300i | −0.507022 | − | 1.16237i | ||||
\(43\) | −0.993018 | − | 2.39736i | −0.151434 | − | 0.365594i | 0.829898 | − | 0.557915i | \(-0.188398\pi\) |
−0.981332 | + | 0.192321i | \(0.938398\pi\) | |||||||
\(44\) | −11.3850 | − | 3.49375i | −1.71636 | − | 0.526703i | ||||
\(45\) | 3.28053 | − | 1.14197i | 0.489033 | − | 0.170235i | ||||
\(46\) | 3.71159 | − | 1.74813i | 0.547244 | − | 0.257748i | ||||
\(47\) | − | 11.7975i | − | 1.72084i | −0.509589 | − | 0.860418i | \(-0.670203\pi\) | ||
0.509589 | − | 0.860418i | \(-0.329797\pi\) | |||||||
\(48\) | 6.83856 | − | 1.11092i | 0.987061 | − | 0.160347i | ||||
\(49\) | 4.25719i | 0.608171i | ||||||||
\(50\) | 2.20508 | + | 4.68178i | 0.311846 | + | 0.662103i | ||||
\(51\) | −0.0342360 | + | 1.18607i | −0.00479399 | + | 0.166083i | ||||
\(52\) | −1.59914 | + | 0.848137i | −0.221760 | + | 0.117615i | ||||
\(53\) | −1.56192 | − | 3.77080i | −0.214546 | − | 0.517959i | 0.779566 | − | 0.626320i | \(-0.215440\pi\) |
−0.994112 | + | 0.108361i | \(0.965440\pi\) | |||||||
\(54\) | 6.67400 | + | 3.07535i | 0.908216 | + | 0.418502i | ||||
\(55\) | −4.87520 | + | 4.87520i | −0.657372 | + | 0.657372i | ||||
\(56\) | −9.19420 | − | 2.35035i | −1.22863 | − | 0.314079i | ||||
\(57\) | −2.57040 | + | 5.73187i | −0.340458 | + | 0.759205i | ||||
\(58\) | 5.43746 | + | 4.94422i | 0.713974 | + | 0.649208i | ||||
\(59\) | −2.20815 | − | 5.33094i | −0.287476 | − | 0.694029i | 0.712495 | − | 0.701678i | \(-0.247565\pi\) |
−0.999971 | + | 0.00764882i | \(0.997565\pi\) | |||||||
\(60\) | 1.28685 | − | 3.79895i | 0.166131 | − | 0.490442i | ||||
\(61\) | −1.53549 | − | 0.636020i | −0.196599 | − | 0.0814341i | 0.282212 | − | 0.959352i | \(-0.408932\pi\) |
−0.478811 | + | 0.877918i | \(0.658932\pi\) | |||||||
\(62\) | 8.47042 | + | 3.04618i | 1.07574 | + | 0.386865i | ||||
\(63\) | −6.69500 | − | 7.51609i | −0.843491 | − | 0.946939i | ||||
\(64\) | 3.83926 | − | 7.01855i | 0.479907 | − | 0.877319i | ||||
\(65\) | 1.04795i | 0.129982i | ||||||||
\(66\) | −14.5830 | + | 0.271537i | −1.79505 | + | 0.0334239i | ||||
\(67\) | 4.69605 | − | 11.3373i | 0.573714 | − | 1.38507i | −0.324657 | − | 0.945832i | \(-0.605249\pi\) |
0.898371 | − | 0.439237i | \(-0.144751\pi\) | |||||||
\(68\) | 1.05631 | + | 0.872611i | 0.128097 | + | 0.105820i | ||||
\(69\) | 3.65405 | − | 3.44902i | 0.439895 | − | 0.415213i | ||||
\(70\) | −3.69612 | + | 4.06485i | −0.441771 | + | 0.485842i | ||||
\(71\) | −7.99150 | + | 7.99150i | −0.948416 | + | 0.948416i | −0.998733 | − | 0.0503173i | \(-0.983977\pi\) |
0.0503173 | + | 0.998733i | \(0.483977\pi\) | |||||||
\(72\) | 7.53653 | − | 3.89882i | 0.888188 | − | 0.459480i | ||||
\(73\) | −2.34760 | − | 2.34760i | −0.274766 | − | 0.274766i | 0.556250 | − | 0.831015i | \(-0.312240\pi\) |
−0.831015 | + | 0.556250i | \(0.812240\pi\) | |||||||
\(74\) | 0.416154 | − | 0.0197717i | 0.0483769 | − | 0.00229842i | ||||
\(75\) | 4.35057 | + | 4.60920i | 0.502361 | + | 0.532224i | ||||
\(76\) | 3.39869 | + | 6.40812i | 0.389856 | + | 0.735062i | ||||
\(77\) | 18.4577 | + | 7.64543i | 2.10345 | + | 0.871278i | ||||
\(78\) | −1.53816 | + | 1.59653i | −0.174163 | + | 0.180772i | ||||
\(79\) | 8.91043 | 1.00250 | 0.501251 | − | 0.865302i | \(-0.332873\pi\) | ||||
0.501251 | + | 0.865302i | \(0.332873\pi\) | |||||||
\(80\) | −2.54822 | − | 3.86746i | −0.284900 | − | 0.432395i | ||||
\(81\) | 8.94011 | + | 1.03655i | 0.993346 | + | 0.115172i | ||||
\(82\) | 2.78314 | + | 5.90908i | 0.307346 | + | 0.652549i | ||||
\(83\) | −3.06920 | + | 7.40970i | −0.336888 | + | 0.813320i | 0.661123 | + | 0.750278i | \(0.270080\pi\) |
−0.998011 | + | 0.0630420i | \(0.979920\pi\) | |||||||
\(84\) | −11.5973 | + | 0.767615i | −1.26537 | + | 0.0837537i | ||||
\(85\) | 0.732836 | − | 0.303551i | 0.0794872 | − | 0.0329247i | ||||
\(86\) | −3.66558 | + | 0.174154i | −0.395270 | + | 0.0187795i | ||||
\(87\) | 8.21294 | + | 3.68301i | 0.880520 | + | 0.394861i | ||||
\(88\) | −10.0981 | + | 13.4789i | −1.07646 | + | 1.43685i | ||||
\(89\) | −1.99332 | − | 1.99332i | −0.211291 | − | 0.211291i | 0.593525 | − | 0.804816i | \(-0.297736\pi\) |
−0.804816 | + | 0.593525i | \(0.797736\pi\) | |||||||
\(90\) | 0.0502980 | − | 4.91218i | 0.00530187 | − | 0.517789i | ||||
\(91\) | 2.80550 | − | 1.16208i | 0.294096 | − | 0.121819i | ||||
\(92\) | −0.550075 | − | 5.77591i | −0.0573493 | − | 0.602180i | ||||
\(93\) | 11.0200 | + | 0.318091i | 1.14272 | + | 0.0329845i | ||||
\(94\) | −15.6997 | − | 5.64603i | −1.61931 | − | 0.582344i | ||||
\(95\) | 4.19938 | 0.430848 | ||||||||
\(96\) | 1.79442 | − | 9.63224i | 0.183142 | − | 0.983086i | ||||
\(97\) | 8.66510 | 0.879807 | 0.439904 | − | 0.898045i | \(-0.355013\pi\) | ||||
0.439904 | + | 0.898045i | \(0.355013\pi\) | |||||||
\(98\) | 5.66537 | + | 2.03741i | 0.572288 | + | 0.205810i | ||||
\(99\) | −16.8706 | + | 5.87274i | −1.69556 | + | 0.590233i | ||||
\(100\) | 7.28570 | − | 0.693862i | 0.728570 | − | 0.0693862i | ||||
\(101\) | −15.6920 | + | 6.49983i | −1.56141 | + | 0.646758i | −0.985334 | − | 0.170637i | \(-0.945417\pi\) |
−0.576077 | + | 0.817395i | \(0.695417\pi\) | |||||||
\(102\) | 1.56201 | + | 0.613191i | 0.154662 | + | 0.0607150i | ||||
\(103\) | −5.39788 | − | 5.39788i | −0.531869 | − | 0.531869i | 0.389259 | − | 0.921128i | \(-0.372731\pi\) |
−0.921128 | + | 0.389259i | \(0.872731\pi\) | |||||||
\(104\) | 0.363363 | + | 2.53399i | 0.0356307 | + | 0.248478i | ||||
\(105\) | −2.75329 | + | 6.13969i | −0.268693 | + | 0.599173i | ||||
\(106\) | −5.76559 | + | 0.273927i | −0.560004 | + | 0.0266061i | ||||
\(107\) | 0.0169596 | − | 0.00702491i | 0.00163955 | − | 0.000679124i | −0.381864 | − | 0.924219i | \(-0.624718\pi\) |
0.383503 | + | 0.923540i | \(0.374718\pi\) | |||||||
\(108\) | 7.28664 | − | 7.40978i | 0.701157 | − | 0.713007i | ||||
\(109\) | −4.94357 | + | 11.9348i | −0.473508 | + | 1.14315i | 0.489094 | + | 0.872231i | \(0.337328\pi\) |
−0.962602 | + | 0.270919i | \(0.912672\pi\) | |||||||
\(110\) | 4.15462 | + | 8.82097i | 0.396127 | + | 0.841047i | ||||
\(111\) | 0.476854 | − | 0.181584i | 0.0452610 | − | 0.0172352i | ||||
\(112\) | −7.52796 | + | 11.1106i | −0.711325 | + | 1.04985i | ||||
\(113\) | 10.4984 | 0.987609 | 0.493804 | − | 0.869573i | \(-0.335606\pi\) | ||||
0.493804 | + | 0.869573i | \(0.335606\pi\) | |||||||
\(114\) | 6.39768 | + | 6.16379i | 0.599198 | + | 0.577292i | ||||
\(115\) | −3.10332 | − | 1.28544i | −0.289386 | − | 0.119868i | ||||
\(116\) | 9.18191 | − | 4.86983i | 0.852519 | − | 0.452152i | ||||
\(117\) | −1.18203 | + | 2.44440i | −0.109278 | + | 0.225985i | ||||
\(118\) | −8.15105 | + | 0.387261i | −0.750365 | + | 0.0356503i | ||||
\(119\) | −1.62529 | − | 1.62529i | −0.148990 | − | 0.148990i | ||||
\(120\) | −4.43969 | − | 3.53061i | −0.405286 | − | 0.322299i | ||||
\(121\) | 17.2933 | − | 17.2933i | 1.57212 | − | 1.57212i | ||||
\(122\) | −1.58125 | + | 1.73900i | −0.143160 | + | 0.157442i | ||||
\(123\) | 5.49105 | + | 5.81747i | 0.495112 | + | 0.524544i | ||||
\(124\) | 8.10756 | − | 9.81437i | 0.728080 | − | 0.881357i | ||||
\(125\) | 3.83694 | − | 9.26318i | 0.343186 | − | 0.828524i | ||||
\(126\) | −13.2063 | + | 5.31248i | −1.17651 | + | 0.473273i | ||||
\(127\) | − | 0.793212i | − | 0.0703862i | −0.999381 | − | 0.0351931i | \(-0.988795\pi\) | ||
0.999381 | − | 0.0351931i | \(-0.0112046\pi\) | |||||||
\(128\) | −7.50272 | − | 8.46813i | −0.663153 | − | 0.748484i | ||||
\(129\) | −4.20024 | + | 1.59943i | −0.369811 | + | 0.140822i | ||||
\(130\) | 1.39458 | + | 0.501528i | 0.122313 | + | 0.0439869i | ||||
\(131\) | 9.39267 | + | 3.89057i | 0.820641 | + | 0.339921i | 0.753191 | − | 0.657802i | \(-0.228514\pi\) |
0.0674502 | + | 0.997723i | \(0.478514\pi\) | |||||||
\(132\) | −6.61780 | + | 19.5367i | −0.576006 | + | 1.70045i | ||||
\(133\) | −4.65672 | − | 11.2423i | −0.403789 | − | 0.974832i | ||||
\(134\) | −12.8399 | − | 11.6752i | −1.10920 | − | 1.00858i | ||||
\(135\) | −1.81318 | − | 5.73676i | −0.156054 | − | 0.493741i | ||||
\(136\) | 1.66678 | − | 0.988102i | 0.142925 | − | 0.0847290i | ||||
\(137\) | 2.95969 | − | 2.95969i | 0.252863 | − | 0.252863i | −0.569280 | − | 0.822144i | \(-0.692778\pi\) |
0.822144 | + | 0.569280i | \(0.192778\pi\) | |||||||
\(138\) | −2.84111 | − | 6.51334i | −0.241851 | − | 0.554453i | ||||
\(139\) | −1.91155 | − | 4.61488i | −0.162135 | − | 0.391429i | 0.821844 | − | 0.569713i | \(-0.192946\pi\) |
−0.983979 | + | 0.178284i | \(0.942946\pi\) | |||||||
\(140\) | 3.64050 | + | 6.86406i | 0.307679 | + | 0.580119i | ||||
\(141\) | −20.4253 | − | 0.589576i | −1.72012 | − | 0.0496512i | ||||
\(142\) | 6.81030 | + | 14.4595i | 0.571508 | + | 1.21341i | ||||
\(143\) | − | 5.38924i | − | 0.450671i | ||||||
\(144\) | −1.58161 | − | 11.8953i | −0.131801 | − | 0.991276i | ||||
\(145\) | − | 6.01711i | − | 0.499694i | ||||||
\(146\) | −4.24764 | + | 2.00061i | −0.351537 | + | 0.165572i | ||||
\(147\) | 7.37061 | + | 0.212753i | 0.607917 | + | 0.0175475i | ||||
\(148\) | 0.172852 | − | 0.563270i | 0.0142083 | − | 0.0463005i | ||||
\(149\) | −5.53451 | − | 13.3615i | −0.453405 | − | 1.09462i | −0.971019 | − | 0.239002i | \(-0.923180\pi\) |
0.517614 | − | 0.855614i | \(-0.326820\pi\) | |||||||
\(150\) | 8.21590 | − | 3.58376i | 0.670825 | − | 0.292613i | ||||
\(151\) | 2.96063 | − | 2.96063i | 0.240932 | − | 0.240932i | −0.576303 | − | 0.817236i | \(-0.695505\pi\) |
0.817236 | + | 0.576303i | \(0.195505\pi\) | |||||||
\(152\) | 10.1543 | − | 1.45608i | 0.823623 | − | 0.118104i | ||||
\(153\) | 2.05177 | + | 0.118548i | 0.165876 | + | 0.00958400i | ||||
\(154\) | 19.0078 | − | 20.9041i | 1.53170 | − | 1.68450i | ||||
\(155\) | −2.82033 | − | 6.80889i | −0.226535 | − | 0.546903i | ||||
\(156\) | 1.38849 | + | 2.81102i | 0.111168 | + | 0.225062i | ||||
\(157\) | −16.1213 | − | 6.67768i | −1.28662 | − | 0.532937i | −0.368646 | − | 0.929570i | \(-0.620178\pi\) |
−0.917977 | + | 0.396633i | \(0.870178\pi\) | |||||||
\(158\) | 4.26436 | − | 11.8578i | 0.339254 | − | 0.943354i | ||||
\(159\) | −6.60656 | + | 2.51575i | −0.523934 | + | 0.199512i | ||||
\(160\) | −6.36624 | + | 1.54022i | −0.503296 | + | 0.121765i | ||||
\(161\) | 9.73343i | 0.767102i | ||||||||
\(162\) | 5.65797 | − | 11.4012i | 0.444532 | − | 0.895763i | ||||
\(163\) | −4.62172 | + | 11.1578i | −0.362001 | + | 0.873949i | 0.633006 | + | 0.774147i | \(0.281821\pi\) |
−0.995007 | + | 0.0998018i | \(0.968179\pi\) | |||||||
\(164\) | 9.19561 | − | 0.875755i | 0.718057 | − | 0.0683849i | ||||
\(165\) | 8.19695 | + | 8.68422i | 0.638131 | + | 0.676066i | ||||
\(166\) | 8.39177 | + | 7.63054i | 0.651328 | + | 0.592245i | ||||
\(167\) | −1.28603 | + | 1.28603i | −0.0995157 | + | 0.0995157i | −0.755112 | − | 0.655596i | \(-0.772417\pi\) |
0.655596 | + | 0.755112i | \(0.272417\pi\) | |||||||
\(168\) | −4.52872 | + | 15.8007i | −0.349398 | + | 1.21905i | ||||
\(169\) | 8.61317 | + | 8.61317i | 0.662551 | + | 0.662551i | ||||
\(170\) | −0.0532362 | − | 1.12051i | −0.00408303 | − | 0.0859394i | ||||
\(171\) | 9.79530 | + | 4.73666i | 0.749065 | + | 0.362222i | ||||
\(172\) | −1.52252 | + | 4.96141i | −0.116091 | + | 0.378304i | ||||
\(173\) | 0.0565964 | + | 0.0234430i | 0.00430295 | + | 0.00178234i | 0.384834 | − | 0.922986i | \(-0.374259\pi\) |
−0.380531 | + | 0.924768i | \(0.624259\pi\) | |||||||
\(174\) | 8.83182 | − | 9.16695i | 0.669538 | − | 0.694945i | ||||
\(175\) | −12.2777 | −0.928107 | ||||||||
\(176\) | 13.1046 | + | 19.8890i | 0.987798 | + | 1.49919i | ||||
\(177\) | −9.33996 | + | 3.55662i | −0.702034 | + | 0.267332i | ||||
\(178\) | −3.60662 | + | 1.69869i | −0.270327 | + | 0.127322i | ||||
\(179\) | 1.17461 | − | 2.83576i | 0.0877946 | − | 0.211955i | −0.873884 | − | 0.486135i | \(-0.838406\pi\) |
0.961678 | + | 0.274180i | \(0.0884064\pi\) | |||||||
\(180\) | −6.51293 | − | 2.41781i | −0.485445 | − | 0.180213i | ||||
\(181\) | −20.8334 | + | 8.62949i | −1.54854 | + | 0.641425i | −0.983051 | − | 0.183334i | \(-0.941311\pi\) |
−0.565485 | + | 0.824758i | \(0.691311\pi\) | |||||||
\(182\) | −0.203803 | − | 4.28964i | −0.0151069 | − | 0.317969i | ||||
\(183\) | −1.17790 | + | 2.62665i | −0.0870726 | + | 0.194168i | ||||
\(184\) | −7.94968 | − | 2.03221i | −0.586058 | − | 0.149817i | ||||
\(185\) | −0.241198 | − | 0.241198i | −0.0177333 | − | 0.0177333i | ||||
\(186\) | 5.69725 | − | 14.5129i | 0.417743 | − | 1.06413i | ||||
\(187\) | −3.76872 | + | 1.56105i | −0.275596 | + | 0.114156i | ||||
\(188\) | −15.0272 | + | 18.1907i | −1.09597 | + | 1.32670i | ||||
\(189\) | −13.3474 | + | 11.2156i | −0.970882 | + | 0.815818i | ||||
\(190\) | 2.00974 | − | 5.58843i | 0.145802 | − | 0.405427i | ||||
\(191\) | 23.0566 | 1.66832 | 0.834158 | − | 0.551525i | \(-0.185954\pi\) | ||||
0.834158 | + | 0.551525i | \(0.185954\pi\) | |||||||
\(192\) | −11.9596 | − | 6.99777i | −0.863107 | − | 0.505021i | ||||
\(193\) | 7.52832 | 0.541900 | 0.270950 | − | 0.962593i | \(-0.412662\pi\) | ||||
0.270950 | + | 0.962593i | \(0.412662\pi\) | |||||||
\(194\) | 4.14695 | − | 11.5313i | 0.297734 | − | 0.827898i | ||||
\(195\) | 1.81435 | + | 0.0523711i | 0.129928 | + | 0.00375037i | ||||
\(196\) | 5.42267 | − | 6.56426i | 0.387333 | − | 0.468876i | ||||
\(197\) | 2.14750 | − | 0.889524i | 0.153003 | − | 0.0633760i | −0.304868 | − | 0.952395i | \(-0.598612\pi\) |
0.457871 | + | 0.889019i | \(0.348612\pi\) | |||||||
\(198\) | −0.258665 | + | 25.2616i | −0.0183825 | + | 1.79526i | ||||
\(199\) | 7.46994 | + | 7.46994i | 0.529530 | + | 0.529530i | 0.920432 | − | 0.390902i | \(-0.127837\pi\) |
−0.390902 | + | 0.920432i | \(0.627837\pi\) | |||||||
\(200\) | 2.56342 | − | 10.0277i | 0.181261 | − | 0.709065i | ||||
\(201\) | −19.3939 | − | 8.69699i | −1.36794 | − | 0.613439i | ||||
\(202\) | 1.13993 | + | 23.9932i | 0.0802053 | + | 1.68816i | ||||
\(203\) | −16.1086 | + | 6.67240i | −1.13060 | + | 0.468311i | ||||
\(204\) | 1.56357 | − | 1.78522i | 0.109472 | − | 0.124990i | ||||
\(205\) | 2.04650 | − | 4.94068i | 0.142934 | − | 0.345072i | ||||
\(206\) | −9.76668 | + | 4.60004i | −0.680477 | + | 0.320500i | ||||
\(207\) | −5.78877 | − | 6.49872i | −0.402348 | − | 0.451692i | ||||
\(208\) | 3.54607 | + | 0.729165i | 0.245876 | + | 0.0505585i | ||||
\(209\) | −21.5960 | −1.49382 | ||||||||
\(210\) | 6.85288 | + | 6.60234i | 0.472894 | + | 0.455605i | ||||
\(211\) | 15.9819 | + | 6.61994i | 1.10024 | + | 0.455735i | 0.857567 | − | 0.514372i | \(-0.171975\pi\) |
0.242676 | + | 0.970107i | \(0.421975\pi\) | |||||||
\(212\) | −2.39477 | + | 7.80380i | −0.164473 | + | 0.535967i | ||||
\(213\) | 13.4365 | + | 14.2353i | 0.920657 | + | 0.975386i | ||||
\(214\) | −0.00123202 | − | 0.0259314i | −8.42191e−5 | − | 0.00177264i | ||||
\(215\) | 2.12453 | + | 2.12453i | 0.144892 | + | 0.144892i | ||||
\(216\) | −6.37350 | − | 13.2431i | −0.433662 | − | 0.901076i | ||||
\(217\) | −15.1008 | + | 15.1008i | −1.02511 | + | 1.02511i | ||||
\(218\) | 13.5167 | + | 12.2906i | 0.915465 | + | 0.832422i | ||||
\(219\) | −4.18179 | + | 3.94715i | −0.282579 | + | 0.266723i | ||||
\(220\) | 13.7270 | − | 1.30731i | 0.925477 | − | 0.0881389i | ||||
\(221\) | −0.237274 | + | 0.572831i | −0.0159608 | + | 0.0385328i | ||||
\(222\) | −0.0134341 | − | 0.721488i | −0.000901641 | − | 0.0484231i | ||||
\(223\) | − | 18.2244i | − | 1.22040i | −0.792248 | − | 0.610199i | \(-0.791090\pi\) | ||
0.792248 | − | 0.610199i | \(-0.208910\pi\) | |||||||
\(224\) | 11.1829 | + | 15.3353i | 0.747191 | + | 1.02463i | ||||
\(225\) | 8.19746 | − | 7.30193i | 0.546497 | − | 0.486795i | ||||
\(226\) | 5.02434 | − | 13.9710i | 0.334214 | − | 0.929339i | ||||
\(227\) | 10.8455 | + | 4.49234i | 0.719840 | + | 0.298167i | 0.712369 | − | 0.701805i | \(-0.247622\pi\) |
0.00747022 | + | 0.999972i | \(0.497622\pi\) | |||||||
\(228\) | 11.2644 | − | 5.56400i | 0.746004 | − | 0.368485i | ||||
\(229\) | 5.20986 | + | 12.5777i | 0.344277 | + | 0.831159i | 0.997273 | + | 0.0737978i | \(0.0235119\pi\) |
−0.652996 | + | 0.757362i | \(0.726488\pi\) | |||||||
\(230\) | −3.19582 | + | 3.51463i | −0.210726 | + | 0.231748i | ||||
\(231\) | 14.1592 | − | 31.5743i | 0.931606 | − | 2.07744i | ||||
\(232\) | −2.08636 | − | 14.5497i | −0.136976 | − | 0.955232i | ||||
\(233\) | 11.7233 | − | 11.7233i | 0.768016 | − | 0.768016i | −0.209741 | − | 0.977757i | \(-0.567262\pi\) |
0.977757 | + | 0.209741i | \(0.0672620\pi\) | |||||||
\(234\) | 2.68725 | + | 2.74285i | 0.175671 | + | 0.179306i | ||||
\(235\) | 5.22743 | + | 12.6201i | 0.341000 | + | 0.823247i | ||||
\(236\) | −3.38558 | + | 11.0325i | −0.220382 | + | 0.718157i | ||||
\(237\) | 0.445297 | − | 15.4269i | 0.0289252 | − | 1.00208i | ||||
\(238\) | −2.94073 | + | 1.38506i | −0.190619 | + | 0.0897803i | ||||
\(239\) | 21.5949i | 1.39685i | 0.715681 | + | 0.698427i | \(0.246117\pi\) | ||||
−0.715681 | + | 0.698427i | \(0.753883\pi\) | |||||||
\(240\) | −6.82319 | + | 4.21854i | −0.440435 | + | 0.272306i | ||||
\(241\) | − | 14.6095i | − | 0.941078i | −0.882379 | − | 0.470539i | \(-0.844059\pi\) | ||
0.882379 | − | 0.470539i | \(-0.155941\pi\) | |||||||
\(242\) | −14.7372 | − | 31.2897i | −0.947345 | − | 2.01138i | ||||
\(243\) | 2.24138 | − | 15.4265i | 0.143785 | − | 0.989609i | ||||
\(244\) | 1.55746 | + | 2.93655i | 0.0997063 | + | 0.187993i | ||||
\(245\) | −1.88636 | − | 4.55406i | −0.120515 | − | 0.290949i | ||||
\(246\) | 10.3697 | − | 4.52322i | 0.661145 | − | 0.288390i | ||||
\(247\) | −2.32108 | + | 2.32108i | −0.147687 | + | 0.147687i | ||||
\(248\) | −9.18060 | − | 15.4863i | −0.582968 | − | 0.983381i | ||||
\(249\) | 12.6752 | + | 5.68409i | 0.803261 | + | 0.360215i | ||||
\(250\) | −10.4909 | − | 9.53928i | −0.663504 | − | 0.603317i | ||||
\(251\) | 1.08581 | + | 2.62137i | 0.0685355 | + | 0.165459i | 0.954436 | − | 0.298416i | \(-0.0964584\pi\) |
−0.885900 | + | 0.463876i | \(0.846458\pi\) | |||||||
\(252\) | 0.749422 | + | 20.1171i | 0.0472092 | + | 1.26726i | ||||
\(253\) | 15.9593 | + | 6.61055i | 1.00335 | + | 0.415602i | ||||
\(254\) | −1.05559 | − | 0.379616i | −0.0662334 | − | 0.0238192i | ||||
\(255\) | −0.488923 | − | 1.28395i | −0.0306175 | − | 0.0804041i | ||||
\(256\) | −14.8598 | + | 5.93174i | −0.928739 | + | 0.370734i | ||||
\(257\) | 1.35436i | 0.0844827i | 0.999107 | + | 0.0422414i | \(0.0134498\pi\) | ||||
−0.999107 | + | 0.0422414i | \(0.986550\pi\) | |||||||
\(258\) | 0.118331 | + | 6.35503i | 0.00736697 | + | 0.395647i | ||||
\(259\) | −0.378254 | + | 0.913186i | −0.0235036 | + | 0.0567426i | ||||
\(260\) | 1.33484 | − | 1.61586i | 0.0827834 | − | 0.100211i | ||||
\(261\) | 6.78695 | − | 14.0353i | 0.420102 | − | 0.868760i | ||||
\(262\) | 9.67262 | − | 10.6376i | 0.597576 | − | 0.657191i | ||||
\(263\) | −3.52372 | + | 3.52372i | −0.217282 | + | 0.217282i | −0.807352 | − | 0.590070i | \(-0.799100\pi\) |
0.590070 | + | 0.807352i | \(0.299100\pi\) | |||||||
\(264\) | 22.8318 | + | 18.1567i | 1.40520 | + | 1.11747i | ||||
\(265\) | 3.34167 | + | 3.34167i | 0.205277 | + | 0.205277i | ||||
\(266\) | −17.1896 | + | 0.816688i | −1.05396 | + | 0.0500743i | ||||
\(267\) | −3.55070 | + | 3.35147i | −0.217299 | + | 0.205107i | ||||
\(268\) | −21.6820 | + | 11.4995i | −1.32444 | + | 0.702444i | ||||
\(269\) | −16.4741 | − | 6.82380i | −1.00444 | − | 0.416055i | −0.181020 | − | 0.983479i | \(-0.557940\pi\) |
−0.823425 | + | 0.567425i | \(0.807940\pi\) | |||||||
\(270\) | −8.50208 | − | 0.332568i | −0.517420 | − | 0.0202394i | ||||
\(271\) | −8.50293 | −0.516516 | −0.258258 | − | 0.966076i | \(-0.583149\pi\) | ||||
−0.258258 | + | 0.966076i | \(0.583149\pi\) | |||||||
\(272\) | −0.517252 | − | 2.69100i | −0.0313630 | − | 0.163166i | ||||
\(273\) | −1.87173 | − | 4.91532i | −0.113282 | − | 0.297489i | ||||
\(274\) | −2.52223 | − | 5.35513i | −0.152374 | − | 0.323515i | ||||
\(275\) | −8.33852 | + | 20.1310i | −0.502832 | + | 1.21394i | ||||
\(276\) | −10.0275 | + | 0.663711i | −0.603584 | + | 0.0399507i | ||||
\(277\) | 20.2028 | − | 8.36828i | 1.21387 | − | 0.502801i | 0.318414 | − | 0.947952i | \(-0.396850\pi\) |
0.895456 | + | 0.445150i | \(0.146850\pi\) | |||||||
\(278\) | −7.05619 | + | 0.335244i | −0.423202 | + | 0.0201066i | ||||
\(279\) | 1.10144 | − | 19.0633i | 0.0659416 | − | 1.14129i | ||||
\(280\) | 10.8768 | − | 1.55968i | 0.650012 | − | 0.0932089i | ||||
\(281\) | −10.3342 | − | 10.3342i | −0.616487 | − | 0.616487i | 0.328142 | − | 0.944629i | \(-0.393578\pi\) |
−0.944629 | + | 0.328142i | \(0.893578\pi\) | |||||||
\(282\) | −10.5597 | + | 26.8993i | −0.628823 | + | 1.60183i | ||||
\(283\) | 8.67342 | − | 3.59265i | 0.515581 | − | 0.213561i | −0.109694 | − | 0.993965i | \(-0.534987\pi\) |
0.625275 | + | 0.780405i | \(0.284987\pi\) | |||||||
\(284\) | 22.5015 | − | 2.14296i | 1.33522 | − | 0.127161i | ||||
\(285\) | 0.209864 | − | 7.27052i | 0.0124312 | − | 0.430668i | ||||
\(286\) | −7.17186 | − | 2.57918i | −0.424081 | − | 0.152510i | ||||
\(287\) | −15.4962 | −0.914714 | ||||||||
\(288\) | −16.5869 | − | 3.58810i | −0.977393 | − | 0.211431i | ||||
\(289\) | −16.5307 | −0.972393 | ||||||||
\(290\) | −8.00741 | − | 2.87967i | −0.470212 | − | 0.169100i | ||||
\(291\) | 0.433037 | − | 15.0021i | 0.0253851 | − | 0.879441i | ||||
\(292\) | 0.629521 | + | 6.61010i | 0.0368399 | + | 0.386827i | ||||
\(293\) | 11.3816 | − | 4.71442i | 0.664922 | − | 0.275420i | −0.0245862 | − | 0.999698i | \(-0.507827\pi\) |
0.689508 | + | 0.724278i | \(0.257827\pi\) | |||||||
\(294\) | 3.81056 | − | 9.70680i | 0.222236 | − | 0.566112i | ||||
\(295\) | 4.72426 | + | 4.72426i | 0.275057 | + | 0.275057i | ||||
\(296\) | −0.666861 | − | 0.499597i | −0.0387605 | − | 0.0290385i | ||||
\(297\) | 9.32455 | + | 29.5021i | 0.541065 | + | 1.71189i | ||||
\(298\) | −20.4298 | + | 0.970634i | −1.18347 | + | 0.0562273i | ||||
\(299\) | 2.42575 | − | 1.00478i | 0.140285 | − | 0.0581078i | ||||
\(300\) | −0.837202 | − | 12.6486i | −0.0483359 | − | 0.730269i | ||||
\(301\) | 3.33175 | − | 8.04355i | 0.192039 | − | 0.463623i | ||||
\(302\) | −2.52303 | − | 5.35683i | −0.145184 | − | 0.308251i | ||||
\(303\) | 10.4692 | + | 27.4928i | 0.601437 | + | 1.57942i | ||||
\(304\) | 2.92194 | − | 14.2099i | 0.167585 | − | 0.814996i | ||||
\(305\) | 1.92438 | 0.110190 | ||||||||
\(306\) | 1.13970 | − | 2.67371i | 0.0651522 | − | 0.152846i | ||||
\(307\) | −12.6145 | − | 5.22511i | −0.719950 | − | 0.298213i | −0.00753514 | − | 0.999972i | \(-0.502399\pi\) |
−0.712415 | + | 0.701759i | \(0.752399\pi\) | |||||||
\(308\) | −18.7218 | − | 35.2995i | −1.06678 | − | 2.01137i | ||||
\(309\) | −9.61527 | + | 9.07575i | −0.546994 | + | 0.516302i | ||||
\(310\) | −10.4108 | + | 0.494626i | −0.591297 | + | 0.0280928i | ||||
\(311\) | −18.8020 | − | 18.8020i | −1.06617 | − | 1.06617i | −0.997650 | − | 0.0685162i | \(-0.978174\pi\) |
−0.0685162 | − | 0.997650i | \(-0.521826\pi\) | |||||||
\(312\) | 4.40533 | − | 0.502466i | 0.249403 | − | 0.0284465i | ||||
\(313\) | 4.30835 | − | 4.30835i | 0.243522 | − | 0.243522i | −0.574783 | − | 0.818306i | \(-0.694914\pi\) |
0.818306 | + | 0.574783i | \(0.194914\pi\) | |||||||
\(314\) | −16.6018 | + | 18.2581i | −0.936896 | + | 1.03036i | ||||
\(315\) | 10.4922 | + | 5.07368i | 0.591171 | + | 0.285869i | ||||
\(316\) | −13.7392 | − | 11.3498i | −0.772889 | − | 0.638476i | ||||
\(317\) | 0.543402 | − | 1.31189i | 0.0305205 | − | 0.0736830i | −0.907884 | − | 0.419221i | \(-0.862303\pi\) |
0.938405 | + | 0.345538i | \(0.112303\pi\) | |||||||
\(318\) | 0.186123 | + | 9.99583i | 0.0104372 | + | 0.560538i | ||||
\(319\) | 30.9439i | 1.73252i | ||||||||
\(320\) | −0.997073 | + | 9.20915i | −0.0557381 | + | 0.514807i | ||||
\(321\) | −0.0113149 | − | 0.0297138i | −0.000631535 | − | 0.00165846i | ||||
\(322\) | 12.9530 | + | 4.65823i | 0.721842 | + | 0.259593i | ||||
\(323\) | 2.29547 | + | 0.950815i | 0.127723 | + | 0.0529047i | ||||
\(324\) | −12.4646 | − | 12.9859i | −0.692479 | − | 0.721438i | ||||
\(325\) | 1.26742 | + | 3.05983i | 0.0703040 | + | 0.169729i | ||||
\(326\) | 12.6367 | + | 11.4904i | 0.699881 | + | 0.636394i | ||||
\(327\) | 20.4161 | + | 9.15540i | 1.12901 | + | 0.506295i | ||||
\(328\) | 3.23541 | − | 12.6564i | 0.178646 | − | 0.698833i | ||||
\(329\) | 27.9891 | − | 27.9891i | 1.54309 | − | 1.54309i | ||||
\(330\) | 15.4796 | − | 6.75219i | 0.852126 | − | 0.371696i | ||||
\(331\) | −5.18815 | − | 12.5253i | −0.285167 | − | 0.688453i | 0.714774 | − | 0.699356i | \(-0.246530\pi\) |
−0.999941 | + | 0.0109024i | \(0.996530\pi\) | |||||||
\(332\) | 14.1707 | − | 7.51573i | 0.777717 | − | 0.412479i | ||||
\(333\) | −0.290551 | − | 0.834667i | −0.0159221 | − | 0.0457395i | ||||
\(334\) | 1.09594 | + | 2.32688i | 0.0599673 | + | 0.127321i | ||||
\(335\) | 14.2087i | 0.776303i | ||||||||
\(336\) | 18.8599 | + | 13.5886i | 1.02889 | + | 0.741320i | ||||
\(337\) | 19.9878i | 1.08881i | 0.838824 | + | 0.544403i | \(0.183244\pi\) | ||||
−0.838824 | + | 0.544403i | \(0.816756\pi\) | |||||||
\(338\) | 15.5843 | − | 7.34009i | 0.847673 | − | 0.399248i | ||||
\(339\) | 0.524657 | − | 18.1762i | 0.0284955 | − | 0.987197i | ||||
\(340\) | −1.51663 | − | 0.465411i | −0.0822507 | − | 0.0252404i | ||||
\(341\) | 14.5040 | + | 35.0157i | 0.785435 | + | 1.89621i | ||||
\(342\) | 10.9913 | − | 10.7685i | 0.594340 | − | 0.582292i | ||||
\(343\) | 6.50721 | − | 6.50721i | 0.351357 | − | 0.351357i | ||||
\(344\) | 5.87387 | + | 4.40056i | 0.316698 | + | 0.237262i | ||||
\(345\) | −2.38060 | + | 5.30863i | −0.128167 | + | 0.285807i | ||||
\(346\) | 0.0582833 | − | 0.0640977i | 0.00313333 | − | 0.00344591i | ||||
\(347\) | −5.84634 | − | 14.1143i | −0.313848 | − | 0.757696i | −0.999555 | − | 0.0298187i | \(-0.990507\pi\) |
0.685707 | − | 0.727877i | \(-0.259493\pi\) | |||||||
\(348\) | −7.97241 | − | 16.1403i | −0.427366 | − | 0.865210i | ||||
\(349\) | 7.90170 | + | 3.27299i | 0.422969 | + | 0.175199i | 0.584007 | − | 0.811749i | \(-0.301484\pi\) |
−0.161038 | + | 0.986948i | \(0.551484\pi\) | |||||||
\(350\) | −5.87587 | + | 16.3389i | −0.314078 | + | 0.873348i | ||||
\(351\) | 4.17299 | + | 2.16864i | 0.222738 | + | 0.115753i | ||||
\(352\) | 32.7394 | − | 7.92082i | 1.74501 | − | 0.422181i | ||||
\(353\) | 28.4566i | 1.51459i | 0.653072 | + | 0.757296i | \(0.273480\pi\) | ||||
−0.653072 | + | 0.757296i | \(0.726520\pi\) | |||||||
\(354\) | 0.263129 | + | 14.1315i | 0.0139852 | + | 0.751081i | ||||
\(355\) | 5.00776 | − | 12.0898i | 0.265784 | − | 0.641659i | ||||
\(356\) | 0.534518 | + | 5.61255i | 0.0283294 | + | 0.297465i | ||||
\(357\) | −2.89514 | + | 2.73269i | −0.153227 | + | 0.144629i | ||||
\(358\) | −3.21161 | − | 2.92028i | −0.169739 | − | 0.154342i | ||||
\(359\) | −3.48589 | + | 3.48589i | −0.183978 | + | 0.183978i | −0.793087 | − | 0.609109i | \(-0.791527\pi\) |
0.609109 | + | 0.793087i | \(0.291527\pi\) | |||||||
\(360\) | −6.33452 | + | 7.51012i | −0.333858 | + | 0.395818i | ||||
\(361\) | −4.13391 | − | 4.13391i | −0.217574 | − | 0.217574i | ||||
\(362\) | 1.51343 | + | 31.8545i | 0.0795439 | + | 1.67423i | ||||
\(363\) | −29.0762 | − | 30.8046i | −1.52610 | − | 1.61682i | ||||
\(364\) | −5.80607 | − | 1.78172i | −0.304321 | − | 0.0933875i | ||||
\(365\) | 3.55152 | + | 1.47109i | 0.185895 | + | 0.0770003i | ||||
\(366\) | 2.93176 | + | 2.82458i | 0.153246 | + | 0.147643i | ||||
\(367\) | 7.37411 | 0.384925 | 0.192463 | − | 0.981304i | \(-0.438353\pi\) | ||||
0.192463 | + | 0.981304i | \(0.438353\pi\) | |||||||
\(368\) | −6.50898 | + | 9.60666i | −0.339304 | + | 0.500782i | ||||
\(369\) | 10.3464 | − | 9.21609i | 0.538611 | − | 0.479771i | ||||
\(370\) | −0.436413 | + | 0.205548i | −0.0226881 | + | 0.0106859i | ||||
\(371\) | 5.24050 | − | 12.6517i | 0.272073 | − | 0.656843i | ||||
\(372\) | −16.5867 | − | 14.5273i | −0.859982 | − | 0.753207i | ||||
\(373\) | −7.72861 | + | 3.20130i | −0.400172 | + | 0.165757i | −0.573687 | − | 0.819074i | \(-0.694488\pi\) |
0.173515 | + | 0.984831i | \(0.444488\pi\) | |||||||
\(374\) | 0.273775 | + | 5.76241i | 0.0141566 | + | 0.297967i | ||||
\(375\) | −15.8459 | − | 7.10593i | −0.818277 | − | 0.366948i | ||||
\(376\) | 17.0160 | + | 28.7035i | 0.877536 | + | 1.48027i | ||||
\(377\) | 3.32577 | + | 3.32577i | 0.171286 | + | 0.171286i | ||||
\(378\) | 8.53767 | + | 23.1300i | 0.439131 | + | 1.18968i | ||||
\(379\) | −22.6759 | + | 9.39268i | −1.16478 | + | 0.482470i | −0.879465 | − | 0.475963i | \(-0.842100\pi\) |
−0.285319 | + | 0.958433i | \(0.592100\pi\) | |||||||
\(380\) | −6.47512 | − | 5.34903i | −0.332166 | − | 0.274399i | ||||
\(381\) | −1.37331 | − | 0.0396406i | −0.0703569 | − | 0.00203085i | ||||
\(382\) | 11.0344 | − | 30.6831i | 0.564571 | − | 1.56989i | ||||
\(383\) | −11.3729 | −0.581129 | −0.290565 | − | 0.956855i | \(-0.593843\pi\) | ||||
−0.290565 | + | 0.956855i | \(0.593843\pi\) | |||||||
\(384\) | −15.0361 | + | 12.5665i | −0.767306 | + | 0.641281i | ||||
\(385\) | −23.1325 | −1.17894 | ||||||||
\(386\) | 3.60291 | − | 10.0185i | 0.183383 | − | 0.509928i | ||||
\(387\) | 2.55924 | + | 7.35194i | 0.130094 | + | 0.373720i | ||||
\(388\) | −13.3609 | − | 11.0373i | −0.678297 | − | 0.560334i | ||||
\(389\) | 11.2635 | − | 4.66550i | 0.571083 | − | 0.236550i | −0.0784059 | − | 0.996922i | \(-0.524983\pi\) |
0.649489 | + | 0.760371i | \(0.274983\pi\) | |||||||
\(390\) | 0.938005 | − | 2.38942i | 0.0474977 | − | 0.120993i | ||||
\(391\) | −1.40529 | − | 1.40529i | −0.0710687 | − | 0.0710687i | ||||
\(392\) | −6.14036 | − | 10.3579i | −0.310135 | − | 0.523152i | ||||
\(393\) | 7.20526 | − | 16.0674i | 0.363457 | − | 0.810492i | ||||
\(394\) | −0.156003 | − | 3.28355i | −0.00785933 | − | 0.165423i | ||||
\(395\) | −9.53179 | + | 3.94820i | −0.479596 | + | 0.198655i | ||||
\(396\) | 33.4937 | + | 12.4339i | 1.68312 | + | 0.624829i | ||||
\(397\) | 3.65241 | − | 8.81769i | 0.183309 | − | 0.442547i | −0.805336 | − | 0.592819i | \(-0.798015\pi\) |
0.988645 | + | 0.150272i | \(0.0480149\pi\) | |||||||
\(398\) | 13.5158 | − | 6.36583i | 0.677484 | − | 0.319090i | ||||
\(399\) | −19.6969 | + | 7.50048i | −0.986076 | + | 0.375494i | ||||
\(400\) | −12.1178 | − | 8.21040i | −0.605890 | − | 0.410520i | ||||
\(401\) | 5.46170 | 0.272744 | 0.136372 | − | 0.990658i | \(-0.456456\pi\) | ||||
0.136372 | + | 0.990658i | \(0.456456\pi\) | |||||||
\(402\) | −20.8553 | + | 21.6467i | −1.04017 | + | 1.07964i | ||||
\(403\) | 5.32225 | + | 2.20455i | 0.265120 | + | 0.109816i | ||||
\(404\) | 32.4751 | + | 9.96569i | 1.61570 | + | 0.495811i | ||||
\(405\) | −10.0228 | + | 2.85252i | −0.498038 | + | 0.141743i | ||||
\(406\) | 1.17020 | + | 24.6302i | 0.0580758 | + | 1.22238i | ||||
\(407\) | 1.24040 | + | 1.24040i | 0.0614843 | + | 0.0614843i | ||||
\(408\) | −1.62743 | − | 2.93513i | −0.0805699 | − | 0.145310i | ||||
\(409\) | −21.6474 | + | 21.6474i | −1.07039 | + | 1.07039i | −0.0730670 | + | 0.997327i | \(0.523279\pi\) |
−0.997327 | + | 0.0730670i | \(0.976721\pi\) | |||||||
\(410\) | −5.59552 | − | 5.08794i | −0.276343 | − | 0.251276i | ||||
\(411\) | −4.97629 | − | 5.27211i | −0.245462 | − | 0.260054i | ||||
\(412\) | 1.44747 | + | 15.1987i | 0.0713117 | + | 0.748788i | ||||
\(413\) | 7.40871 | − | 17.8862i | 0.364559 | − | 0.880123i | ||||
\(414\) | −11.4187 | + | 4.59339i | −0.561200 | + | 0.225753i | ||||
\(415\) | − | 9.28636i | − | 0.455849i | ||||||
\(416\) | 2.66743 | − | 4.37005i | 0.130782 | − | 0.214260i | ||||
\(417\) | −8.08541 | + | 3.07889i | −0.395944 | + | 0.150774i | ||||
\(418\) | −10.3354 | + | 28.7393i | −0.505521 | + | 1.40569i | ||||
\(419\) | 16.1057 | + | 6.67119i | 0.786814 | + | 0.325909i | 0.739662 | − | 0.672979i | \(-0.234986\pi\) |
0.0471519 | + | 0.998888i | \(0.484986\pi\) | |||||||
\(420\) | 12.0659 | − | 5.95988i | 0.588755 | − | 0.290812i | ||||
\(421\) | 11.0865 | + | 26.7651i | 0.540321 | + | 1.30445i | 0.924497 | + | 0.381190i | \(0.124486\pi\) |
−0.384176 | + | 0.923260i | \(0.625514\pi\) | |||||||
\(422\) | 16.4583 | − | 18.1002i | 0.801177 | − | 0.881104i | ||||
\(423\) | −2.04150 | + | 35.3334i | −0.0992612 | + | 1.71797i | ||||
\(424\) | 9.23900 | + | 6.92164i | 0.448686 | + | 0.336144i | ||||
\(425\) | 1.77263 | − | 1.77263i | 0.0859852 | − | 0.0859852i | ||||
\(426\) | 25.3744 | − | 11.0683i | 1.22939 | − | 0.536259i | ||||
\(427\) | −2.13396 | − | 5.15183i | −0.103270 | − | 0.249315i | ||||
\(428\) | −0.0350985 | − | 0.0107708i | −0.00169655 | − | 0.000520624i | ||||
\(429\) | −9.33055 | − | 0.269326i | −0.450483 | − | 0.0130032i | ||||
\(430\) | 3.84403 | − | 1.81051i | 0.185376 | − | 0.0873106i | ||||
\(431\) | − | 20.4774i | − | 0.986361i | −0.869927 | − | 0.493180i | \(-0.835834\pi\) | ||
0.869927 | − | 0.493180i | \(-0.164166\pi\) | |||||||
\(432\) | −20.6738 | + | 2.14382i | −0.994666 | + | 0.103145i | ||||
\(433\) | 14.6756i | 0.705262i | 0.935762 | + | 0.352631i | \(0.114713\pi\) | ||||
−0.935762 | + | 0.352631i | \(0.885287\pi\) | |||||||
\(434\) | 12.8688 | + | 27.3227i | 0.617723 | + | 1.31153i | ||||
\(435\) | −10.4176 | − | 0.300704i | −0.499486 | − | 0.0144177i | ||||
\(436\) | 22.8248 | − | 12.1056i | 1.09311 | − | 0.579754i | ||||
\(437\) | −4.02639 | − | 9.72056i | −0.192608 | − | 0.464997i | ||||
\(438\) | 3.25144 | + | 7.45405i | 0.155360 | + | 0.356168i | ||||
\(439\) | 4.86825 | − | 4.86825i | 0.232349 | − | 0.232349i | −0.581324 | − | 0.813672i | \(-0.697465\pi\) |
0.813672 | + | 0.581324i | \(0.197465\pi\) | |||||||
\(440\) | 4.82976 | − | 18.8933i | 0.230250 | − | 0.900701i | ||||
\(441\) | 0.736690 | − | 12.7503i | 0.0350805 | − | 0.607158i | ||||
\(442\) | 0.648754 | + | 0.589904i | 0.0308581 | + | 0.0280589i | ||||
\(443\) | −6.00738 | − | 14.5031i | −0.285419 | − | 0.689063i | 0.714525 | − | 0.699610i | \(-0.246643\pi\) |
−0.999944 | + | 0.0105468i | \(0.996643\pi\) | |||||||
\(444\) | −0.966567 | − | 0.327412i | −0.0458713 | − | 0.0155383i | ||||
\(445\) | 3.01555 | + | 1.24908i | 0.142951 | + | 0.0592122i | ||||
\(446\) | −24.2526 | − | 8.72186i | −1.14839 | − | 0.412992i | ||||
\(447\) | −23.4097 | + | 8.91432i | −1.10724 | + | 0.421633i | ||||
\(448\) | 25.7598 | − | 7.54278i | 1.21704 | − | 0.356363i | ||||
\(449\) | 1.76611i | 0.0833480i | 0.999131 | + | 0.0416740i | \(0.0132691\pi\) | ||||
−0.999131 | + | 0.0416740i | \(0.986731\pi\) | |||||||
\(450\) | −5.79408 | − | 14.4035i | −0.273135 | − | 0.678989i | ||||
\(451\) | −10.5244 | + | 25.4082i | −0.495576 | + | 1.19643i | ||||
\(452\) | −16.1877 | − | 13.3725i | −0.761407 | − | 0.628991i | ||||
\(453\) | −4.97787 | − | 5.27378i | −0.233881 | − | 0.247784i | ||||
\(454\) | 11.1687 | − | 12.2829i | 0.524175 | − | 0.576467i | ||||
\(455\) | −2.48622 | + | 2.48622i | −0.116556 | + | 0.116556i | ||||
\(456\) | −2.01350 | − | 17.6532i | −0.0942908 | − | 0.826688i | ||||
\(457\) | −22.3579 | − | 22.3579i | −1.04586 | − | 1.04586i | −0.998897 | − | 0.0469601i | \(-0.985047\pi\) |
−0.0469601 | − | 0.998897i | \(-0.514953\pi\) | |||||||
\(458\) | 19.2315 | − | 0.913698i | 0.898627 | − | 0.0426943i | ||||
\(459\) | 0.307782 | − | 3.54637i | 0.0143660 | − | 0.165530i | ||||
\(460\) | 3.14773 | + | 5.93495i | 0.146764 | + | 0.276718i | ||||
\(461\) | 0.811938 | + | 0.336316i | 0.0378157 | + | 0.0156638i | 0.401511 | − | 0.915854i | \(-0.368485\pi\) |
−0.363695 | + | 0.931518i | \(0.618485\pi\) | |||||||
\(462\) | −35.2420 | − | 33.9535i | −1.63960 | − | 1.57966i | ||||
\(463\) | 14.0009 | 0.650678 | 0.325339 | − | 0.945597i | \(-0.394522\pi\) | ||||
0.325339 | + | 0.945597i | \(0.394522\pi\) | |||||||
\(464\) | −20.3608 | − | 4.18671i | −0.945226 | − | 0.194363i | ||||
\(465\) | −11.9294 | + | 4.54265i | −0.553211 | + | 0.210661i | ||||
\(466\) | −9.99049 | − | 21.2115i | −0.462800 | − | 0.982606i | ||||
\(467\) | 5.94695 | − | 14.3572i | 0.275192 | − | 0.664373i | −0.724498 | − | 0.689277i | \(-0.757928\pi\) |
0.999690 | + | 0.0249045i | \(0.00792818\pi\) | |||||||
\(468\) | 4.93619 | − | 2.26345i | 0.228175 | − | 0.104628i | ||||
\(469\) | 38.0385 | − | 15.7561i | 1.75646 | − | 0.727548i | ||||
\(470\) | 19.2963 | − | 0.916779i | 0.890072 | − | 0.0422878i | ||||
\(471\) | −12.3669 | + | 27.5776i | −0.569838 | + | 1.27071i | ||||
\(472\) | 13.0616 | + | 9.78540i | 0.601207 | + | 0.450410i | ||||
\(473\) | −10.9257 | − | 10.9257i | −0.502365 | − | 0.502365i | ||||
\(474\) | −20.3166 | − | 7.97560i | −0.933173 | − | 0.366332i | ||||
\(475\) | 12.2615 | − | 5.07887i | 0.562595 | − | 0.233034i | ||||
\(476\) | 0.435830 | + | 4.57631i | 0.0199763 | + | 0.209755i | ||||
\(477\) | 4.02543 | + | 11.5639i | 0.184312 | + | 0.529473i | ||||
\(478\) | 28.7379 | + | 10.3349i | 1.31444 | + | 0.472706i | ||||
\(479\) | 34.4708 | 1.57501 | 0.787505 | − | 0.616309i | \(-0.211373\pi\) | ||||
0.787505 | + | 0.616309i | \(0.211373\pi\) | |||||||
\(480\) | 2.34848 | + | 11.0990i | 0.107193 | + | 0.506599i | ||||
\(481\) | 0.266630 | 0.0121573 | ||||||||
\(482\) | −19.4419 | − | 6.99181i | −0.885554 | − | 0.318468i | ||||
\(483\) | 16.8518 | + | 0.486427i | 0.766782 | + | 0.0221332i | ||||
\(484\) | −48.6925 | + | 4.63729i | −2.21329 | + | 0.210786i | ||||
\(485\) | −9.26935 | + | 3.83949i | −0.420899 | + | 0.174342i | ||||
\(486\) | −19.4565 | − | 10.3656i | −0.882564 | − | 0.470193i | ||||
\(487\) | −13.6710 | − | 13.6710i | −0.619490 | − | 0.619490i | 0.325911 | − | 0.945401i | \(-0.394329\pi\) |
−0.945401 | + | 0.325911i | \(0.894329\pi\) | |||||||
\(488\) | 4.65325 | − | 0.667256i | 0.210643 | − | 0.0302052i | ||||
\(489\) | 19.0869 | + | 8.55934i | 0.863140 | + | 0.387067i | ||||
\(490\) | −6.96321 | + | 0.330826i | −0.314566 | + | 0.0149452i | ||||
\(491\) | −16.0034 | + | 6.62882i | −0.722223 | + | 0.299154i | −0.713352 | − | 0.700806i | \(-0.752824\pi\) |
−0.00887095 | + | 0.999961i | \(0.502824\pi\) | |||||||
\(492\) | −1.05667 | − | 15.9644i | −0.0476384 | − | 0.719731i | ||||
\(493\) | 1.36238 | − | 3.28908i | 0.0613585 | − | 0.148133i | ||||
\(494\) | 1.97801 | + | 4.19966i | 0.0889948 | + | 0.188951i | ||||
\(495\) | 15.4449 | − | 13.7576i | 0.694196 | − | 0.618359i | ||||
\(496\) | −25.0024 | + | 4.80586i | −1.12264 | + | 0.215789i | ||||
\(497\) | −37.9191 | −1.70090 | ||||||||
\(498\) | 13.6304 | − | 14.1476i | 0.610791 | − | 0.633969i | ||||
\(499\) | −6.36166 | − | 2.63509i | −0.284787 | − | 0.117963i | 0.235717 | − | 0.971822i | \(-0.424256\pi\) |
−0.520504 | + | 0.853859i | \(0.674256\pi\) | |||||||
\(500\) | −17.7154 | + | 9.39574i | −0.792256 | + | 0.420190i | ||||
\(501\) | 2.16227 | + | 2.29080i | 0.0966029 | + | 0.102346i | ||||
\(502\) | 4.00810 | − | 0.190427i | 0.178890 | − | 0.00849918i | ||||
\(503\) | 16.8510 | + | 16.8510i | 0.751350 | + | 0.751350i | 0.974731 | − | 0.223381i | \(-0.0717095\pi\) |
−0.223381 | + | 0.974731i | \(0.571709\pi\) | |||||||
\(504\) | 27.1300 | + | 8.63034i | 1.20846 | + | 0.384426i | ||||
\(505\) | 13.9062 | − | 13.9062i | 0.618817 | − | 0.618817i | ||||
\(506\) | 16.4350 | − | 18.0745i | 0.730623 | − | 0.803511i | ||||
\(507\) | 15.3427 | − | 14.4818i | 0.681392 | − | 0.643159i | ||||
\(508\) | −1.01037 | + | 1.22307i | −0.0448277 | + | 0.0542650i | ||||
\(509\) | −6.71610 | + | 16.2141i | −0.297686 | + | 0.718678i | 0.702291 | + | 0.711890i | \(0.252161\pi\) |
−0.999977 | + | 0.00678764i | \(0.997839\pi\) | |||||||
\(510\) | −1.94264 | + | 0.0361720i | −0.0860215 | + | 0.00160172i | ||||
\(511\) | − | 11.1392i | − | 0.492769i | ||||||
\(512\) | 0.782187 | + | 22.6139i | 0.0345681 | + | 0.999402i | ||||
\(513\) | 8.69024 | − | 16.7222i | 0.383684 | − | 0.738302i | ||||
\(514\) | 1.80235 | + | 0.648171i | 0.0794982 | + | 0.0285896i | ||||
\(515\) | 8.16609 | + | 3.38250i | 0.359841 | + | 0.149051i | ||||
\(516\) | 8.51375 | + | 2.88392i | 0.374797 | + | 0.126958i | ||||
\(517\) | −26.8828 | − | 64.9009i | −1.18231 | − | 2.85434i | ||||
\(518\) | 1.03422 | + | 0.940404i | 0.0454410 | + | 0.0413190i | ||||
\(519\) | 0.0434160 | − | 0.0968155i | 0.00190575 | − | 0.00424973i | ||||
\(520\) | −1.51151 | − | 2.54969i | −0.0662841 | − | 0.111811i | ||||
\(521\) | −18.2126 | + | 18.2126i | −0.797908 | + | 0.797908i | −0.982765 | − | 0.184858i | \(-0.940818\pi\) |
0.184858 | + | 0.982765i | \(0.440818\pi\) | |||||||
\(522\) | −15.4297 | − | 15.7489i | −0.675337 | − | 0.689311i | ||||
\(523\) | −0.472480 | − | 1.14067i | −0.0206601 | − | 0.0498779i | 0.913213 | − | 0.407483i | \(-0.133593\pi\) |
−0.933873 | + | 0.357605i | \(0.883593\pi\) | |||||||
\(524\) | −9.52708 | − | 17.9630i | −0.416192 | − | 0.784718i | ||||
\(525\) | −0.613576 | + | 21.2567i | −0.0267787 | + | 0.927721i | ||||
\(526\) | 3.00289 | + | 6.37565i | 0.130932 | + | 0.277992i | ||||
\(527\) | − | 4.36045i | − | 0.189944i | ||||||
\(528\) | 35.0893 | − | 21.6945i | 1.52706 | − | 0.944131i | ||||
\(529\) | − | 14.5841i | − | 0.634090i | ||||||
\(530\) | 6.04627 | − | 2.84775i | 0.262633 | − | 0.123698i | ||||
\(531\) | 5.69091 | + | 16.3483i | 0.246965 | + | 0.709455i | ||||
\(532\) | −7.13978 | + | 23.2663i | −0.309549 | + | 1.00872i | ||||
\(533\) | 1.59967 | + | 3.86195i | 0.0692895 | + | 0.167280i | ||||
\(534\) | 2.76075 | + | 6.32913i | 0.119470 | + | 0.273888i | ||||
\(535\) | −0.0150296 | + | 0.0150296i | −0.000649785 | + | 0.000649785i | ||||
\(536\) | 4.92668 | + | 34.3573i | 0.212800 | + | 1.48401i | ||||
\(537\) | −4.85094 | − | 2.17536i | −0.209333 | − | 0.0938735i | ||||
\(538\) | −16.9651 | + | 18.6576i | −0.731419 | + | 0.804386i | ||||
\(539\) | 9.70087 | + | 23.4200i | 0.417846 | + | 1.00877i | ||||
\(540\) | −4.51150 | + | 11.1552i | −0.194144 | + | 0.480043i | ||||
\(541\) | 14.2297 | + | 5.89412i | 0.611781 | + | 0.253408i | 0.666990 | − | 0.745067i | \(-0.267582\pi\) |
−0.0552087 | + | 0.998475i | \(0.517582\pi\) | |||||||
\(542\) | −4.06934 | + | 11.3155i | −0.174793 | + | 0.486042i | ||||
\(543\) | 13.8993 | + | 36.5008i | 0.596478 | + | 1.56640i | ||||
\(544\) | −3.82865 | − | 0.599513i | −0.164152 | − | 0.0257039i | ||||
\(545\) | − | 14.9576i | − | 0.640713i | ||||||
\(546\) | −7.43696 | + | 0.138477i | −0.318272 | + | 0.00592625i | ||||
\(547\) | −6.24323 | + | 15.0725i | −0.266941 | + | 0.644453i | −0.999336 | − | 0.0364266i | \(-0.988402\pi\) |
0.732395 | + | 0.680880i | \(0.238402\pi\) | |||||||
\(548\) | −8.33356 | + | 0.793657i | −0.355992 | + | 0.0339033i | ||||
\(549\) | 4.48874 | + | 2.17059i | 0.191575 | + | 0.0926387i | ||||
\(550\) | 22.7991 | + | 20.7310i | 0.972158 | + | 0.883972i | ||||
\(551\) | 13.3272 | − | 13.3272i | 0.567756 | − | 0.567756i | ||||
\(552\) | −3.91571 | + | 13.6620i | −0.166664 | + | 0.581492i | ||||
\(553\) | 21.1397 | + | 21.1397i | 0.898952 | + | 0.898952i | ||||
\(554\) | −1.46762 | − | 30.8903i | −0.0623531 | − | 1.31240i | ||||
\(555\) | −0.429648 | + | 0.405540i | −0.0182375 | + | 0.0172142i | ||||
\(556\) | −2.93082 | + | 9.55064i | −0.124295 | + | 0.405038i | ||||
\(557\) | 7.09223 | + | 2.93770i | 0.300507 | + | 0.124474i | 0.527842 | − | 0.849342i | \(-0.323001\pi\) |
−0.227335 | + | 0.973817i | \(0.573001\pi\) | |||||||
\(558\) | −24.8418 | − | 10.5891i | −1.05164 | − | 0.448272i | ||||
\(559\) | −2.34854 | −0.0993325 | ||||||||
\(560\) | 3.12983 | − | 15.2210i | 0.132260 | − | 0.643204i | ||||
\(561\) | 2.51436 | + | 6.60291i | 0.106156 | + | 0.278775i | ||||
\(562\) | −18.6982 | + | 8.80674i | −0.788738 | + | 0.371490i | ||||
\(563\) | 0.517007 | − | 1.24817i | 0.0217892 | − | 0.0526039i | −0.912610 | − | 0.408830i | \(-0.865937\pi\) |
0.934400 | + | 0.356226i | \(0.115937\pi\) | |||||||
\(564\) | 30.7432 | + | 26.9261i | 1.29452 | + | 1.13379i | ||||
\(565\) | −11.2305 | + | 4.65183i | −0.472471 | + | 0.195704i | ||||
\(566\) | −0.630073 | − | 13.2617i | −0.0264839 | − | 0.557432i | ||||
\(567\) | 18.7509 | + | 23.6693i | 0.787465 | + | 0.994016i | ||||
\(568\) | 7.91701 | − | 30.9701i | 0.332190 | − | 1.29948i | ||||
\(569\) | 4.40004 | + | 4.40004i | 0.184459 | + | 0.184459i | 0.793296 | − | 0.608836i | \(-0.208363\pi\) |
−0.608836 | + | 0.793296i | \(0.708363\pi\) | |||||||
\(570\) | −9.57498 | − | 3.75881i | −0.401052 | − | 0.157439i | ||||
\(571\) | 23.9135 | − | 9.90528i | 1.00075 | − | 0.414523i | 0.178676 | − | 0.983908i | \(-0.442819\pi\) |
0.822071 | + | 0.569385i | \(0.192819\pi\) | |||||||
\(572\) | −6.86463 | + | 8.30978i | −0.287024 | + | 0.347449i | ||||
\(573\) | 1.15225 | − | 39.9186i | 0.0481359 | − | 1.66762i | ||||
\(574\) | −7.41620 | + | 20.6220i | −0.309546 | + | 0.860745i | ||||
\(575\) | −10.6158 | −0.442709 | ||||||||
\(576\) | −12.7131 | + | 20.3562i | −0.529714 | + | 0.848177i | ||||
\(577\) | −7.45244 | −0.310249 | −0.155124 | − | 0.987895i | \(-0.549578\pi\) | ||||
−0.155124 | + | 0.987895i | \(0.549578\pi\) | |||||||
\(578\) | −7.91127 | + | 21.9986i | −0.329065 | + | 0.915022i | ||||
\(579\) | 0.376226 | − | 13.0340i | 0.0156354 | − | 0.541675i | ||||
\(580\) | −7.66439 | + | 9.27791i | −0.318246 | + | 0.385244i | ||||
\(581\) | −24.8608 | + | 10.2977i | −1.03140 | + | 0.427220i | ||||
\(582\) | −19.7572 | − | 7.75601i | −0.818963 | − | 0.321497i | ||||
\(583\) | −17.1850 | − | 17.1850i | −0.711732 | − | 0.711732i | ||||
\(584\) | 9.09783 | + | 2.32572i | 0.376471 | + | 0.0962389i | ||||
\(585\) | 0.181343 | − | 3.13861i | 0.00749762 | − | 0.129766i | ||||
\(586\) | −0.826808 | − | 17.4026i | −0.0341551 | − | 0.718895i | ||||
\(587\) | 39.1257 | − | 16.2064i | 1.61489 | − | 0.668910i | 0.621472 | − | 0.783436i | \(-0.286535\pi\) |
0.993420 | + | 0.114526i | \(0.0365349\pi\) | |||||||
\(588\) | −11.0939 | − | 9.71647i | −0.457505 | − | 0.400701i | ||||
\(589\) | 8.83416 | − | 21.3275i | 0.364005 | − | 0.878786i | ||||
\(590\) | 8.54786 | − | 4.02598i | 0.351910 | − | 0.165747i | ||||
\(591\) | −1.43274 | − | 3.76249i | −0.0589350 | − | 0.154768i | ||||
\(592\) | −0.983997 | + | 0.648345i | −0.0404420 | + | 0.0266468i | ||||
\(593\) | 42.7694 | 1.75633 | 0.878164 | − | 0.478359i | \(-0.158768\pi\) | ||||
0.878164 | + | 0.478359i | \(0.158768\pi\) | |||||||
\(594\) | 43.7232 | + | 1.71028i | 1.79399 | + | 0.0701736i | ||||
\(595\) | 2.45879 | + | 1.01847i | 0.100801 | + | 0.0417530i | ||||
\(596\) | −8.48563 | + | 27.6520i | −0.347585 | + | 1.13267i | ||||
\(597\) | 13.3062 | − | 12.5596i | 0.544588 | − | 0.514031i | ||||
\(598\) | −0.176216 | − | 3.70899i | −0.00720603 | − | 0.151672i | ||||
\(599\) | −21.3145 | − | 21.3145i | −0.870885 | − | 0.870885i | 0.121684 | − | 0.992569i | \(-0.461171\pi\) |
−0.992569 | + | 0.121684i | \(0.961171\pi\) | |||||||
\(600\) | −17.2331 | − | 4.93926i | −0.703540 | − | 0.201644i | ||||
\(601\) | −4.26621 | + | 4.26621i | −0.174022 | + | 0.174022i | −0.788744 | − | 0.614722i | \(-0.789268\pi\) |
0.614722 | + | 0.788744i | \(0.289268\pi\) | |||||||
\(602\) | −9.10964 | − | 8.28329i | −0.371281 | − | 0.337602i | ||||
\(603\) | −16.0266 | + | 33.1426i | −0.652652 | + | 1.34967i | ||||
\(604\) | −8.33620 | + | 0.793908i | −0.339195 | + | 0.0323036i | ||||
\(605\) | −10.8366 | + | 26.1618i | −0.440570 | + | 1.06363i | ||||
\(606\) | 41.5971 | − | 0.774540i | 1.68977 | − | 0.0314635i | ||||
\(607\) | − | 30.5562i | − | 1.24024i | −0.784508 | − | 0.620118i | \(-0.787085\pi\) | ||
0.784508 | − | 0.620118i | \(-0.212915\pi\) | |||||||
\(608\) | −17.5118 | − | 10.6890i | −0.710199 | − | 0.433498i | ||||
\(609\) | 10.7471 | + | 28.2228i | 0.435495 | + | 1.14364i | ||||
\(610\) | 0.920973 | − | 2.56092i | 0.0372891 | − | 0.103689i | ||||
\(611\) | −9.86469 | − | 4.08609i | −0.399083 | − | 0.165305i | ||||
\(612\) | −3.01267 | − | 2.79627i | −0.121780 | − | 0.113032i | ||||
\(613\) | 13.4587 | + | 32.4921i | 0.543590 | + | 1.31234i | 0.922174 | + | 0.386775i | \(0.126411\pi\) |
−0.378584 | + | 0.925567i | \(0.623589\pi\) | |||||||
\(614\) | −12.9905 | + | 14.2865i | −0.524255 | + | 0.576555i | ||||
\(615\) | −8.45168 | − | 3.79007i | −0.340804 | − | 0.152830i | ||||
\(616\) | −55.9355 | + | 8.02091i | −2.25371 | + | 0.323172i | ||||
\(617\) | −32.1395 | + | 32.1395i | −1.29389 | + | 1.29389i | −0.361524 | + | 0.932363i | \(0.617743\pi\) |
−0.932363 | + | 0.361524i | \(0.882257\pi\) | |||||||
\(618\) | 7.47610 | + | 17.1392i | 0.300733 | + | 0.689441i | ||||
\(619\) | 14.9456 | + | 36.0820i | 0.600716 | + | 1.45026i | 0.872846 | + | 0.487996i | \(0.162272\pi\) |
−0.272129 | + | 0.962261i | \(0.587728\pi\) | |||||||
\(620\) | −4.32420 | + | 14.0912i | −0.173664 | + | 0.565917i | ||||
\(621\) | −11.5407 | + | 9.69750i | −0.463113 | + | 0.389147i | ||||
\(622\) | −34.0196 | + | 16.0230i | −1.36406 | + | 0.642463i | ||||
\(623\) | − | 9.45815i | − | 0.378933i | ||||||
\(624\) | 1.43964 | − | 6.10298i | 0.0576317 | − | 0.244315i | ||||
\(625\) | − | 6.68739i | − | 0.267496i | ||||||
\(626\) | −3.67155 | − | 7.79533i | −0.146745 | − | 0.311564i | ||||
\(627\) | −1.07925 | + | 37.3897i | −0.0431013 | + | 1.49320i | ||||
\(628\) | 16.3520 | + | 30.8313i | 0.652517 | + | 1.23030i | ||||
\(629\) | −0.0772324 | − | 0.186456i | −0.00307946 | − | 0.00743447i | ||||
\(630\) | 11.7733 | − | 11.5346i | 0.469060 | − | 0.459551i | ||||
\(631\) | 20.5960 | − | 20.5960i | 0.819912 | − | 0.819912i | −0.166183 | − | 0.986095i | \(-0.553144\pi\) |
0.986095 | + | 0.166183i | \(0.0531442\pi\) | |||||||
\(632\) | −21.6793 | + | 12.8520i | −0.862358 | + | 0.511223i | ||||
\(633\) | 12.2600 | − | 27.3392i | 0.487291 | − | 1.08664i | ||||
\(634\) | −1.48577 | − | 1.35099i | −0.0590073 | − | 0.0536547i | ||||
\(635\) | 0.351471 | + | 0.848526i | 0.0139477 | + | 0.0336727i | ||||
\(636\) | 13.3913 | + | 4.53612i | 0.530998 | + | 0.179869i | ||||
\(637\) | 3.55974 | + | 1.47449i | 0.141042 | + | 0.0584216i | ||||
\(638\) | 41.1793 | + | 14.8091i | 1.63031 | + | 0.586300i | ||||
\(639\) | 25.3175 | − | 22.5517i | 1.00154 | − | 0.892130i | ||||
\(640\) | 11.7781 | + | 5.73420i | 0.465571 | + | 0.226664i | ||||
\(641\) | 12.6916i | 0.501289i | 0.968079 | + | 0.250645i | \(0.0806426\pi\) | ||||
−0.968079 | + | 0.250645i | \(0.919357\pi\) | |||||||
\(642\) | −0.0449575 | 0.000837110i | −0.00177433 | 3.30381e-5i | ||||||
\(643\) | 0.974363 | − | 2.35232i | 0.0384251 | − | 0.0927665i | −0.903502 | − | 0.428584i | \(-0.859013\pi\) |
0.941927 | + | 0.335818i | \(0.109013\pi\) | |||||||
\(644\) | 12.3981 | − | 15.0082i | 0.488554 | − | 0.591405i | ||||
\(645\) | 3.78444 | − | 3.57209i | 0.149012 | − | 0.140651i | ||||
\(646\) | 2.36389 | − | 2.59971i | 0.0930059 | − | 0.102284i | ||||
\(647\) | 22.3823 | − | 22.3823i | 0.879941 | − | 0.879941i | −0.113587 | − | 0.993528i | \(-0.536234\pi\) |
0.993528 | + | 0.113587i | \(0.0362341\pi\) | |||||||
\(648\) | −23.2466 | + | 10.3728i | −0.913213 | + | 0.407483i | ||||
\(649\) | −24.2952 | − | 24.2952i | −0.953670 | − | 0.953670i | ||||
\(650\) | 4.67851 | − | 0.222279i | 0.183506 | − | 0.00871849i | ||||
\(651\) | 25.3898 | + | 26.8992i | 0.995106 | + | 1.05426i | ||||
\(652\) | 21.3388 | − | 11.3175i | 0.835692 | − | 0.443227i | ||||
\(653\) | −2.02663 | − | 0.839459i | −0.0793083 | − | 0.0328506i | 0.342677 | − | 0.939453i | \(-0.388666\pi\) |
−0.421985 | + | 0.906603i | \(0.638666\pi\) | |||||||
\(654\) | 21.9545 | − | 22.7876i | 0.858489 | − | 0.891066i | ||||
\(655\) | −11.7716 | −0.459953 | ||||||||
\(656\) | −15.2944 | − | 10.3627i | −0.597146 | − | 0.404596i | ||||
\(657\) | 6.62483 | + | 7.43731i | 0.258459 | + | 0.290157i | ||||
\(658\) | −23.8521 | − | 50.6422i | −0.929852 | − | 1.97424i | ||||
\(659\) | 4.65284 | − | 11.2330i | 0.181249 | − | 0.437574i | −0.806975 | − | 0.590585i | \(-0.798897\pi\) |
0.988224 | + | 0.153011i | \(0.0488971\pi\) | |||||||
\(660\) | −1.57738 | − | 23.8314i | −0.0613994 | − | 0.927635i | ||||
\(661\) | −22.0472 | + | 9.13226i | −0.857538 | + | 0.355204i | −0.767744 | − | 0.640757i | \(-0.778621\pi\) |
−0.0897938 | + | 0.995960i | \(0.528621\pi\) | |||||||
\(662\) | −19.1513 | + | 0.909890i | −0.744337 | + | 0.0353639i | ||||
\(663\) | 0.979901 | + | 0.439427i | 0.0380562 | + | 0.0170659i | ||||
\(664\) | −3.21993 | − | 22.4549i | −0.124957 | − | 0.871417i | ||||
\(665\) | 9.96289 | + | 9.96289i | 0.386344 | + | 0.386344i | ||||
\(666\) | −1.24981 | − | 0.0127973i | −0.0484290 | − | 0.000495886i | ||||
\(667\) | −13.9282 | + | 5.76923i | −0.539300 | + | 0.223386i | ||||
\(668\) | 3.62105 | − | 0.344855i | 0.140102 | − | 0.0133428i | ||||
\(669\) | −31.5525 | − | 0.910763i | −1.21989 | − | 0.0352121i | ||||
\(670\) | 18.9085 | + | 6.80000i | 0.730501 | + | 0.262707i | ||||
\(671\) | −9.89643 | −0.382048 | ||||||||
\(672\) | 27.1094 | − | 18.5950i | 1.04577 | − | 0.717317i | ||||
\(673\) | 1.77155 | 0.0682883 | 0.0341441 | − | 0.999417i | \(-0.489129\pi\) | ||||
0.0341441 | + | 0.999417i | \(0.489129\pi\) | |||||||
\(674\) | 26.5993 | + | 9.56579i | 1.02457 | + | 0.368461i | ||||
\(675\) | −12.2324 | − | 14.5574i | −0.470825 | − | 0.560315i | ||||
\(676\) | −2.30967 | − | 24.2520i | −0.0888333 | − | 0.932768i | ||||
\(677\) | −31.1005 | + | 12.8822i | −1.19529 | + | 0.495105i | −0.889474 | − | 0.456986i | \(-0.848929\pi\) |
−0.305815 | + | 0.952091i | \(0.598929\pi\) | |||||||
\(678\) | −23.9374 | − | 9.39699i | −0.919309 | − | 0.360889i | ||||
\(679\) | 20.5577 | + | 20.5577i | 0.788930 | + | 0.788930i | ||||
\(680\) | −1.34519 | + | 1.79555i | −0.0515855 | + | 0.0688563i | ||||
\(681\) | 8.31973 | − | 18.5526i | 0.318813 | − | 0.710937i | ||||
\(682\) | 53.5394 | − | 2.54369i | 2.05013 | − | 0.0974028i | ||||
\(683\) | −2.51740 | + | 1.04274i | −0.0963256 | + | 0.0398994i | −0.430326 | − | 0.902674i | \(-0.641601\pi\) |
0.334000 | + | 0.942573i | \(0.391601\pi\) | |||||||
\(684\) | −9.07018 | − | 19.7805i | −0.346807 | − | 0.756326i | ||||
\(685\) | −1.85465 | + | 4.47752i | −0.0708624 | + | 0.171077i | ||||
\(686\) | −5.54541 | − | 11.7739i | −0.211725 | − | 0.449528i | ||||
\(687\) | 22.0365 | − | 8.39142i | 0.840747 | − | 0.320153i | ||||
\(688\) | 8.66727 | − | 5.71077i | 0.330437 | − | 0.217721i | ||||
\(689\) | −3.69401 | −0.140731 | ||||||||
\(690\) | 5.92528 | + | 5.70865i | 0.225571 | + | 0.217325i | ||||
\(691\) | 36.0335 | + | 14.9256i | 1.37078 | + | 0.567795i | 0.942000 | − | 0.335614i | \(-0.108944\pi\) |
0.428779 | + | 0.903409i | \(0.358944\pi\) | |||||||
\(692\) | −0.0574063 | − | 0.108238i | −0.00218226 | − | 0.00411459i | ||||
\(693\) | −53.9579 | − | 26.0921i | −2.04969 | − | 0.991158i | ||||
\(694\) | −21.5809 | + | 1.02532i | −0.819200 | + | 0.0389207i | ||||
\(695\) | 4.08969 | + | 4.08969i | 0.155131 | + | 0.155131i | ||||
\(696\) | −25.2945 | + | 2.88505i | −0.958786 | + | 0.109358i | ||||
\(697\) | 2.23732 | − | 2.23732i | 0.0847444 | − | 0.0847444i | ||||
\(698\) | 8.13722 | − | 8.94899i | 0.307998 | − | 0.338724i | ||||
\(699\) | −19.7110 | − | 20.8827i | −0.745537 | − | 0.789856i | ||||
\(700\) | 18.9312 | + | 15.6389i | 0.715534 | + | 0.591095i | ||||
\(701\) | 1.39440 | − | 3.36638i | 0.0526658 | − | 0.127147i | −0.895357 | − | 0.445350i | \(-0.853079\pi\) |
0.948023 | + | 0.318203i | \(0.103079\pi\) | |||||||
\(702\) | 4.88308 | − | 4.51545i | 0.184300 | − | 0.170425i | ||||
\(703\) | − | 1.06845i | − | 0.0402973i | ||||||
\(704\) | 5.12760 | − | 47.3595i | 0.193254 | − | 1.78493i | ||||
\(705\) | 22.1109 | − | 8.41972i | 0.832743 | − | 0.317105i | ||||
\(706\) | 37.8693 | + | 13.6188i | 1.42523 | + | 0.512550i | ||||
\(707\) | −52.6494 | − | 21.8081i | −1.98008 | − | 0.820177i | ||||
\(708\) | 18.9318 | + | 6.41290i | 0.711500 | + | 0.241012i | ||||
\(709\) | 9.10175 | + | 21.9736i | 0.341824 | + | 0.825235i | 0.997531 | + | 0.0702205i | \(0.0223703\pi\) |
−0.655708 | + | 0.755015i | \(0.727630\pi\) | |||||||
\(710\) | −13.6922 | − | 12.4501i | −0.513858 | − | 0.467245i | ||||
\(711\) | −26.6868 | − | 1.54191i | −1.00083 | − | 0.0578263i | ||||
\(712\) | 7.72485 | + | 1.97474i | 0.289501 | + | 0.0740064i | ||||
\(713\) | −13.0568 | + | 13.0568i | −0.488980 | + | 0.488980i | ||||
\(714\) | 2.25104 | + | 5.16059i | 0.0842430 | + | 0.193130i | ||||
\(715\) | 2.38796 | + | 5.76505i | 0.0893047 | + | 0.215601i | ||||
\(716\) | −5.42325 | + | 2.87634i | −0.202677 | + | 0.107494i | ||||
\(717\) | 37.3878 | + | 1.07920i | 1.39627 | + | 0.0403034i | ||||
\(718\) | 2.97065 | + | 6.30721i | 0.110864 | + | 0.235383i | ||||
\(719\) | 19.5450i | 0.728907i | 0.931222 | + | 0.364453i | \(0.118744\pi\) | ||||
−0.931222 | + | 0.364453i | \(0.881256\pi\) | |||||||
\(720\) | 6.96270 | + | 12.0240i | 0.259484 | + | 0.448108i | ||||
\(721\) | − | 25.6126i | − | 0.953863i | ||||||
\(722\) | −7.47971 | + | 3.52289i | −0.278366 | + | 0.131109i | ||||
\(723\) | −25.2938 | − | 0.730106i | −0.940686 | − | 0.0271529i | ||||
\(724\) | 43.1154 | + | 13.2309i | 1.60237 | + | 0.491723i | ||||
\(725\) | −7.27728 | − | 17.5689i | −0.270271 | − | 0.652493i | ||||
\(726\) | −54.9093 | + | 23.9513i | −2.03787 | + | 0.888917i | ||||
\(727\) | −20.8914 | + | 20.8914i | −0.774821 | + | 0.774821i | −0.978945 | − | 0.204124i | \(-0.934565\pi\) |
0.204124 | + | 0.978945i | \(0.434565\pi\) | |||||||
\(728\) | −5.14974 | + | 6.87388i | −0.190862 | + | 0.254763i | ||||
\(729\) | −26.5963 | − | 4.65151i | −0.985048 | − | 0.172278i | ||||
\(730\) | 3.65738 | − | 4.02224i | 0.135366 | − | 0.148870i | ||||
\(731\) | 0.680281 | + | 1.64234i | 0.0251611 | + | 0.0607443i | ||||
\(732\) | 5.16196 | − | 2.54973i | 0.190792 | − | 0.0942406i | ||||
\(733\) | −9.09957 | − | 3.76916i | −0.336100 | − | 0.139217i | 0.208249 | − | 0.978076i | \(-0.433223\pi\) |
−0.544350 | + | 0.838859i | \(0.683223\pi\) | |||||||
\(734\) | 3.52911 | − | 9.81328i | 0.130262 | − | 0.362215i | ||||
\(735\) | −7.97886 | + | 3.03831i | −0.294305 | + | 0.112070i | ||||
\(736\) | 9.66922 | + | 13.2595i | 0.356412 | + | 0.488753i | ||||
\(737\) | − | 73.0703i | − | 2.69158i | ||||||
\(738\) | −7.31297 | − | 18.1793i | −0.269194 | − | 0.669191i | ||||
\(739\) | 8.03797 | − | 19.4054i | 0.295682 | − | 0.713839i | −0.704311 | − | 0.709892i | \(-0.748744\pi\) |
0.999992 | − | 0.00394665i | \(-0.00125626\pi\) | |||||||
\(740\) | 0.0646786 | + | 0.679139i | 0.00237763 | + | 0.0249656i | ||||
\(741\) | 3.90256 | + | 4.13455i | 0.143364 | + | 0.151886i | ||||
\(742\) | −14.3286 | − | 13.0288i | −0.526018 | − | 0.478302i | ||||
\(743\) | −14.8827 | + | 14.8827i | −0.545995 | + | 0.545995i | −0.925280 | − | 0.379285i | \(-0.876170\pi\) |
0.379285 | + | 0.925280i | \(0.376170\pi\) | |||||||
\(744\) | −27.2707 | + | 15.1207i | −0.999792 | + | 0.554352i | ||||
\(745\) | 11.8409 | + | 11.8409i | 0.433817 | + | 0.433817i | ||||
\(746\) | 0.561438 | + | 11.8171i | 0.0205557 | + | 0.432655i | ||||
\(747\) | 10.4745 | − | 21.6610i | 0.383241 | − | 0.792533i | ||||
\(748\) | 7.79949 | + | 2.39344i | 0.285177 | + | 0.0875130i | ||||
\(749\) | 0.0569026 | + | 0.0235698i | 0.00207917 | + | 0.000861222i | ||||
\(750\) | −17.0399 | + | 17.6865i | −0.622210 | + | 0.645820i | ||||
\(751\) | −47.9945 | −1.75135 | −0.875673 | − | 0.482905i | \(-0.839582\pi\) | ||||
−0.875673 | + | 0.482905i | \(0.839582\pi\) | |||||||
\(752\) | 46.3415 | − | 8.90756i | 1.68990 | − | 0.324825i | ||||
\(753\) | 4.59272 | − | 1.74889i | 0.167368 | − | 0.0637330i | ||||
\(754\) | 6.01750 | − | 2.83420i | 0.219144 | − | 0.103216i | ||||
\(755\) | −1.85523 | + | 4.47893i | −0.0675189 | + | 0.163005i | ||||
\(756\) | 34.8668 | − | 0.292149i | 1.26809 | − | 0.0106253i | ||||
\(757\) | −4.61422 | + | 1.91127i | −0.167707 | + | 0.0694663i | −0.464957 | − | 0.885333i | \(-0.653930\pi\) |
0.297251 | + | 0.954799i | \(0.403930\pi\) | |||||||
\(758\) | 1.64727 | + | 34.6717i | 0.0598317 | + | 1.25933i | ||||
\(759\) | 12.2426 | − | 27.3004i | 0.444379 | − | 0.990943i | ||||
\(760\) | −10.2172 | + | 6.05698i | −0.370617 | + | 0.219710i | ||||
\(761\) | 35.4112 | + | 35.4112i | 1.28365 | + | 1.28365i | 0.938573 | + | 0.345081i | \(0.112149\pi\) |
0.345081 | + | 0.938573i | \(0.387851\pi\) | |||||||
\(762\) | −0.709993 | + | 1.80860i | −0.0257203 | + | 0.0655185i | ||||
\(763\) | −40.0435 | + | 16.5865i | −1.44967 | + | 0.600473i | ||||
\(764\) | −35.5515 | − | 29.3687i | −1.28621 | − | 1.06252i | ||||
\(765\) | −2.24738 | + | 0.782322i | −0.0812541 | + | 0.0282849i | ||||
\(766\) | −5.44286 | + | 15.1348i | −0.196659 | + | 0.546842i | ||||
\(767\) | −5.22237 | −0.188569 | ||||||||
\(768\) | 9.52719 | + | 26.0237i | 0.343783 | + | 0.939049i | ||||
\(769\) | 49.1306 | 1.77169 | 0.885847 | − | 0.463978i | \(-0.153578\pi\) | ||||
0.885847 | + | 0.463978i | \(0.153578\pi\) | |||||||
\(770\) | −11.0708 | + | 30.7842i | −0.398963 | + | 1.10938i | ||||
\(771\) | 2.34485 | + | 0.0676840i | 0.0844476 | + | 0.00243758i | ||||
\(772\) | −11.6081 | − | 9.58931i | −0.417784 | − | 0.345127i | ||||
\(773\) | 48.9331 | − | 20.2688i | 1.76000 | − | 0.729017i | 0.763467 | − | 0.645847i | \(-0.223496\pi\) |
0.996535 | − | 0.0831696i | \(-0.0265043\pi\) | |||||||
\(774\) | 11.0086 | + | 0.112722i | 0.395695 | + | 0.00405170i | ||||
\(775\) | −16.4698 | − | 16.4698i | −0.591611 | − | 0.591611i | ||||
\(776\) | −21.0824 | + | 12.4981i | −0.756815 | + | 0.448656i | ||||
\(777\) | 1.56212 | + | 0.700519i | 0.0560408 | + | 0.0251310i | ||||
\(778\) | −0.818228 | − | 17.2220i | −0.0293349 | − | 0.617439i | ||||
\(779\) | 15.4757 | − | 6.41026i | 0.554476 | − | 0.229672i | ||||
\(780\) | −2.73087 | − | 2.39180i | −0.0977808 | − | 0.0856403i | ||||
\(781\) | −25.7531 | + | 62.1736i | −0.921520 | + | 2.22474i | ||||
\(782\) | −2.54267 | + | 1.19758i | −0.0909259 | + | 0.0428254i | ||||
\(783\) | −23.9605 | − | 12.4519i | −0.856277 | − | 0.444993i | ||||
\(784\) | −16.7227 | + | 3.21436i | −0.597238 | + | 0.114798i | ||||
\(785\) | 20.2044 | 0.721126 | ||||||||
\(786\) | −17.9338 | − | 17.2781i | −0.639676 | − | 0.616290i | ||||
\(787\) | −44.3943 | − | 18.3887i | −1.58249 | − | 0.655487i | −0.593681 | − | 0.804701i | \(-0.702326\pi\) |
−0.988805 | + | 0.149214i | \(0.952326\pi\) | |||||||
\(788\) | −4.44432 | − | 1.36384i | −0.158322 | − | 0.0485847i | ||||
\(789\) | 5.92462 | + | 6.27681i | 0.210922 | + | 0.223460i | ||||
\(790\) | 0.692429 | + | 14.5742i | 0.0246355 | + | 0.518527i | ||||
\(791\) | 24.9072 | + | 24.9072i | 0.885597 | + | 0.885597i | ||||
\(792\) | 32.5762 | − | 38.6219i | 1.15754 | − | 1.37237i | ||||
\(793\) | −1.06364 | + | 1.06364i | −0.0377711 | + | 0.0377711i | ||||
\(794\) | −9.98639 | − | 9.08051i | −0.354404 | − | 0.322255i | ||||
\(795\) | 5.95253 | − | 5.61854i | 0.211115 | − | 0.199269i | ||||
\(796\) | −2.00310 | − | 21.0330i | −0.0709981 | − | 0.745495i | ||||
\(797\) | 10.5848 | − | 25.5539i | 0.374931 | − | 0.905164i | −0.617968 | − | 0.786203i | \(-0.712044\pi\) |
0.992899 | − | 0.118961i | \(-0.0379562\pi\) | |||||||
\(798\) | 0.554909 | + | 29.8017i | 0.0196435 | + | 1.05497i | ||||
\(799\) | 8.08201i | 0.285921i | ||||||||
\(800\) | −16.7255 | + | 12.1967i | −0.591337 | + | 0.431219i | ||||
\(801\) | 5.62505 | + | 6.31492i | 0.198752 | + | 0.223127i | ||||
\(802\) | 2.61386 | − | 7.26829i | 0.0922987 | − | 0.256652i | ||||
\(803\) | −18.2642 | − | 7.56530i | −0.644531 | − | 0.266974i | ||||
\(804\) | 18.8259 | + | 38.1133i | 0.663938 | + | 1.34415i | ||||
\(805\) | −4.31287 | − | 10.4122i | −0.152009 | − | 0.366981i | ||||
\(806\) | 5.48089 | − | 6.02767i | 0.193056 | − | 0.212315i | ||||
\(807\) | −12.6375 | + | 28.1811i | −0.444863 | + | 0.992022i | ||||
\(808\) | 28.8040 | − | 38.4476i | 1.01332 | − | 1.35258i | ||||
\(809\) | −26.4258 | + | 26.4258i | −0.929083 | + | 0.929083i | −0.997647 | − | 0.0685638i | \(-0.978158\pi\) |
0.0685638 | + | 0.997647i | \(0.478158\pi\) | |||||||
\(810\) | −1.00067 | + | 14.7033i | −0.0351601 | + | 0.516621i | ||||
\(811\) | 10.2190 | + | 24.6709i | 0.358838 | + | 0.866311i | 0.995464 | + | 0.0951387i | \(0.0303295\pi\) |
−0.636626 | + | 0.771173i | \(0.719671\pi\) | |||||||
\(812\) | 33.3373 | + | 10.2303i | 1.16991 | + | 0.359012i | ||||
\(813\) | −0.424933 | + | 14.7214i | −0.0149030 | + | 0.516301i | ||||
\(814\) | 2.24432 | − | 1.05706i | 0.0786634 | − | 0.0370499i | ||||
\(815\) | − | 13.9838i | − | 0.489831i | ||||||
\(816\) | −4.68485 | + | 0.761051i | −0.164003 | + | 0.0266421i | ||||
\(817\) | 9.41115i | 0.329254i | ||||||||
\(818\) | 18.4478 | + | 39.1678i | 0.645011 | + | 1.36947i | ||||
\(819\) | −8.60358 | + | 2.99494i | −0.300633 | + | 0.104652i | ||||
\(820\) | −9.44881 | + | 5.01138i | −0.329967 | + | 0.175005i | ||||
\(821\) | −15.9273 | − | 38.4519i | −0.555866 | − | 1.34198i | −0.913013 | − | 0.407932i | \(-0.866250\pi\) |
0.357146 | − | 0.934048i | \(-0.383750\pi\) | |||||||
\(822\) | −9.39755 | + | 4.09919i | −0.327777 | + | 0.142976i | ||||
\(823\) | −27.1818 | + | 27.1818i | −0.947499 | + | 0.947499i | −0.998689 | − | 0.0511904i | \(-0.983698\pi\) |
0.0511904 | + | 0.998689i | \(0.483698\pi\) | |||||||
\(824\) | 20.9188 | + | 5.34757i | 0.728742 | + | 0.186291i | ||||
\(825\) | 34.4366 | + | 15.4428i | 1.19893 | + | 0.537648i | ||||
\(826\) | −20.2569 | − | 18.4193i | −0.704826 | − | 0.640890i | ||||
\(827\) | 12.6297 | + | 30.4907i | 0.439176 | + | 1.06027i | 0.976234 | + | 0.216720i | \(0.0695358\pi\) |
−0.537058 | + | 0.843546i | \(0.680464\pi\) | |||||||
\(828\) | 0.647981 | + | 17.3941i | 0.0225189 | + | 0.604485i | ||||
\(829\) | −34.6568 | − | 14.3553i | −1.20368 | − | 0.498581i | −0.311494 | − | 0.950248i | \(-0.600829\pi\) |
−0.892187 | + | 0.451667i | \(0.850829\pi\) | |||||||
\(830\) | −12.3580 | − | 4.44427i | −0.428954 | − | 0.154263i | ||||
\(831\) | −13.4786 | − | 35.3960i | −0.467568 | − | 1.22787i | ||||
\(832\) | −4.53897 | − | 5.64118i | −0.157361 | − | 0.195573i | ||||
\(833\) | − | 2.91645i | − | 0.101049i | ||||||
\(834\) | 0.227786 | + | 12.2334i | 0.00788757 | + | 0.423606i | ||||
\(835\) | 0.805870 | − | 1.94554i | 0.0278883 | − | 0.0673282i | ||||
\(836\) | 33.2993 | + | 27.5082i | 1.15168 | + | 0.951391i | ||||
\(837\) | −32.9498 | − | 2.85964i | −1.13891 | − | 0.0988438i | ||||
\(838\) | 16.5857 | − | 18.2403i | 0.572944 | − | 0.630101i | ||||
\(839\) | 5.13731 | − | 5.13731i | 0.177360 | − | 0.177360i | −0.612844 | − | 0.790204i | \(-0.709975\pi\) |
0.790204 | + | 0.612844i | \(0.209975\pi\) | |||||||
\(840\) | −2.15676 | − | 18.9093i | −0.0744153 | − | 0.652431i | ||||
\(841\) | 1.41020 | + | 1.41020i | 0.0486277 | + | 0.0486277i | ||||
\(842\) | 40.9240 | − | 1.94433i | 1.41034 | − | 0.0670059i | ||||
\(843\) | −18.4084 | + | 17.3755i | −0.634018 | + | 0.598443i | ||||
\(844\) | −16.2107 | − | 30.5647i | −0.557994 | − | 1.05208i | ||||
\(845\) | −13.0303 | − | 5.39732i | −0.448255 | − | 0.185673i | ||||
\(846\) | 46.0438 | + | 19.6267i | 1.58302 | + | 0.674779i | ||||
\(847\) | 82.0555 | 2.81946 | ||||||||
\(848\) | 13.6327 | − | 8.98247i | 0.468150 | − | 0.308459i | ||||
\(849\) | −5.78660 | − | 15.1961i | −0.198596 | − | 0.521528i | ||||
\(850\) | −1.51062 | − | 3.20732i | −0.0518140 | − | 0.110010i | ||||
\(851\) | −0.327054 | + | 0.789578i | −0.0112113 | + | 0.0270664i | ||||
\(852\) | −2.58566 | − | 39.0647i | −0.0885833 | − | 1.33833i | ||||
\(853\) | 27.7734 | − | 11.5041i | 0.950943 | − | 0.393893i | 0.147358 | − | 0.989083i | \(-0.452923\pi\) |
0.803585 | + | 0.595190i | \(0.202923\pi\) | |||||||
\(854\) | −7.87720 | + | 0.374250i | −0.269552 | + | 0.0128066i | ||||
\(855\) | −12.5772 | − | 0.726686i | −0.430130 | − | 0.0248521i | ||||
\(856\) | −0.0311309 | + | 0.0415535i | −0.00106403 | + | 0.00142027i | ||||
\(857\) | 23.9037 | + | 23.9037i | 0.816536 | + | 0.816536i | 0.985604 | − | 0.169069i | \(-0.0540760\pi\) |
−0.169069 | + | 0.985604i | \(0.554076\pi\) | |||||||
\(858\) | −4.82383 | + | 12.2880i | −0.164683 | + | 0.419504i | ||||
\(859\) | 36.4970 | − | 15.1176i | 1.24526 | − | 0.515805i | 0.339907 | − | 0.940459i | \(-0.389604\pi\) |
0.905356 | + | 0.424654i | \(0.139604\pi\) | |||||||
\(860\) | −0.569704 | − | 5.98201i | −0.0194267 | − | 0.203985i | ||||
\(861\) | −0.774422 | + | 26.8291i | −0.0263922 | + | 0.914333i | ||||
\(862\) | −27.2508 | − | 9.80008i | −0.928165 | − | 0.333792i | ||||
\(863\) | −48.7809 | −1.66052 | −0.830260 | − | 0.557377i | \(-0.811808\pi\) | ||||
−0.830260 | + | 0.557377i | \(0.811808\pi\) | |||||||
\(864\) | −7.04111 | + | 28.5381i | −0.239543 | + | 0.970886i | ||||
\(865\) | −0.0709307 | −0.00241172 | ||||||||
\(866\) | 19.5298 | + | 7.02344i | 0.663651 | + | 0.238666i | ||||
\(867\) | −0.826119 | + | 28.6201i | −0.0280565 | + | 0.971989i | ||||
\(868\) | 42.5192 | − | 4.04936i | 1.44319 | − | 0.137444i | ||||
\(869\) | 49.0187 | − | 20.3042i | 1.66284 | − | 0.688773i | ||||
\(870\) | −5.38583 | + | 13.7196i | −0.182597 | + | 0.465137i | ||||
\(871\) | −7.85341 | − | 7.85341i | −0.266103 | − | 0.266103i | ||||
\(872\) | −5.18636 | − | 36.1682i | −0.175632 | − | 1.22481i | ||||
\(873\) | −25.9520 | − | 1.49946i | −0.878342 | − | 0.0507490i | ||||
\(874\) | −14.8628 | + | 0.706141i | −0.502742 | + | 0.0238856i | ||||
\(875\) | 31.0796 | − | 12.8736i | 1.05068 | − | 0.435207i | ||||
\(876\) | 11.4757 | − | 0.759569i | 0.387729 | − | 0.0256635i | ||||
\(877\) | −8.45430 | + | 20.4105i | −0.285481 | + | 0.689213i | −0.999945 | − | 0.0104591i | \(-0.996671\pi\) |
0.714464 | + | 0.699672i | \(0.246671\pi\) | |||||||
\(878\) | −4.14869 | − | 8.80839i | −0.140012 | − | 0.297269i | ||||
\(879\) | −7.59343 | − | 19.9410i | −0.256120 | − | 0.672592i | ||||
\(880\) | −22.8312 | − | 15.4693i | −0.769641 | − | 0.521469i | ||||
\(881\) | 25.8223 | 0.869976 | 0.434988 | − | 0.900436i | \(-0.356753\pi\) | ||||
0.434988 | + | 0.900436i | \(0.356753\pi\) | |||||||
\(882\) | −16.6152 | − | 7.08242i | −0.559464 | − | 0.238478i | ||||
\(883\) | 33.3809 | + | 13.8268i | 1.12336 | + | 0.465310i | 0.865518 | − | 0.500878i | \(-0.166990\pi\) |
0.257839 | + | 0.966188i | \(0.416990\pi\) | |||||||
\(884\) | 1.09551 | − | 0.581028i | 0.0368460 | − | 0.0195421i | ||||
\(885\) | 8.41534 | − | 7.94315i | 0.282879 | − | 0.267006i | ||||
\(886\) | −22.1754 | + | 1.05356i | −0.744996 | + | 0.0353952i | ||||
\(887\) | 34.6997 | + | 34.6997i | 1.16510 | + | 1.16510i | 0.983343 | + | 0.181760i | \(0.0581796\pi\) |
0.181760 | + | 0.983343i | \(0.441820\pi\) | |||||||
\(888\) | −0.898293 | + | 1.12959i | −0.0301447 | + | 0.0379066i | ||||
\(889\) | 1.88187 | − | 1.88187i | 0.0631158 | − | 0.0631158i | ||||
\(890\) | 3.10543 | − | 3.41523i | 0.104094 | − | 0.114479i | ||||
\(891\) | 51.5439 | − | 14.6695i | 1.72679 | − | 0.491447i | ||||
\(892\) | −23.2137 | + | 28.1006i | −0.777251 | + | 0.940879i | ||||
\(893\) | −16.3739 | + | 39.5302i | −0.547933 | + | 1.32283i | ||||
\(894\) | 0.659509 | + | 35.4193i | 0.0220573 | + | 1.18460i | ||||
\(895\) | 3.55398i | 0.118796i | ||||||||
\(896\) | 2.29040 | − | 37.8903i | 0.0765170 | − | 1.26583i | ||||
\(897\) | −1.61838 | − | 4.24999i | −0.0540360 | − | 0.141903i | ||||
\(898\) | 2.35030 | + | 0.845227i | 0.0784304 | + | 0.0282056i | ||||
\(899\) | −30.5593 | − | 12.6581i | −1.01921 | − | 0.422170i | ||||
\(900\) | −21.9408 | + | 0.817360i | −0.731359 | + | 0.0272453i | ||||
\(901\) | 1.07001 | + | 2.58324i | 0.0356473 | + | 0.0860602i | ||||
\(902\) | 28.7758 | + | 26.1655i | 0.958129 | + | 0.871216i | ||||
\(903\) | −13.7595 | − | 6.17033i | −0.457889 | − | 0.205336i | ||||
\(904\) | −25.5430 | + | 15.1424i | −0.849546 | + | 0.503629i | ||||
\(905\) | 18.4625 | − | 18.4625i | 0.613715 | − | 0.613715i | ||||
\(906\) | −9.40052 | + | 4.10049i | −0.312311 | + | 0.136230i | ||||
\(907\) | −7.42403 | − | 17.9232i | −0.246511 | − | 0.595130i | 0.751392 | − | 0.659856i | \(-0.229383\pi\) |
−0.997903 | + | 0.0647258i | \(0.979383\pi\) | |||||||
\(908\) | −11.0007 | − | 20.7414i | −0.365070 | − | 0.688329i | ||||
\(909\) | 48.1224 | − | 16.7516i | 1.59612 | − | 0.555616i | ||||
\(910\) | 2.11875 | + | 4.49846i | 0.0702357 | + | 0.149123i | ||||
\(911\) | − | 37.5930i | − | 1.24551i | −0.782416 | − | 0.622756i | \(-0.786013\pi\) | ||
0.782416 | − | 0.622756i | \(-0.213987\pi\) | |||||||
\(912\) | −24.4561 | − | 5.76898i | −0.809822 | − | 0.191030i | ||||
\(913\) | 47.7565i | 1.58051i | ||||||||
\(914\) | −40.4533 | + | 19.0532i | −1.33808 | + | 0.630225i | ||||
\(915\) | 0.0961708 | − | 3.33174i | 0.00317931 | − | 0.110144i | ||||
\(916\) | 7.98788 | − | 26.0300i | 0.263927 | − | 0.860056i | ||||
\(917\) | 13.0535 | + | 31.5140i | 0.431066 | + | 1.04069i | ||||
\(918\) | −4.57212 | − | 2.10681i | −0.150902 | − | 0.0695351i | ||||
\(919\) | 28.3220 | − | 28.3220i | 0.934258 | − | 0.934258i | −0.0637109 | − | 0.997968i | \(-0.520294\pi\) |
0.997968 | + | 0.0637109i | \(0.0202936\pi\) | |||||||
\(920\) | 9.40451 | − | 1.34857i | 0.310058 | − | 0.0444609i | ||||
\(921\) | −9.67681 | + | 21.5788i | −0.318862 | + | 0.711046i | ||||
\(922\) | 0.836138 | − | 0.919552i | 0.0275368 | − | 0.0302838i | ||||
\(923\) | 3.91438 | + | 9.45014i | 0.128843 | + | 0.311055i | ||||
\(924\) | −62.0506 | + | 30.6496i | −2.04132 | + | 1.00830i | ||||
\(925\) | −0.995970 | − | 0.412544i | −0.0327473 | − | 0.0135644i | ||||
\(926\) | 6.70057 | − | 18.6321i | 0.220194 | − | 0.612288i | ||||
\(927\) | 15.2326 | + | 17.1008i | 0.500304 | + | 0.561663i | ||||
\(928\) | −15.3159 | + | 25.0920i | −0.502768 | + | 0.823684i | ||||
\(929\) | − | 14.6297i | − | 0.479986i | −0.970775 | − | 0.239993i | \(-0.922855\pi\) | ||
0.970775 | − | 0.239993i | \(-0.0771452\pi\) | |||||||
\(930\) | 0.336079 | + | 18.0493i | 0.0110205 | + | 0.591861i | ||||
\(931\) | 5.90865 | − | 14.2647i | 0.193648 | − | 0.467508i | ||||
\(932\) | −33.0090 | + | 3.14365i | −1.08125 | + | 0.102974i | ||||
\(933\) | −33.4922 | + | 31.6129i | −1.09648 | + | 1.03496i | ||||
\(934\) | −16.2601 | − | 14.7851i | −0.532047 | − | 0.483785i | ||||
\(935\) | 3.33983 | − | 3.33983i | 0.109224 | − | 0.109224i | ||||
\(936\) | −0.649778 | − | 7.65220i | −0.0212387 | − | 0.250120i | ||||
\(937\) | 5.60824 | + | 5.60824i | 0.183213 | + | 0.183213i | 0.792754 | − | 0.609541i | \(-0.208646\pi\) |
−0.609541 | + | 0.792754i | \(0.708646\pi\) | |||||||
\(938\) | −2.76328 | − | 58.1612i | −0.0902241 | − | 1.89903i | ||||
\(939\) | −7.24386 | − | 7.67448i | −0.236395 | − | 0.250447i | ||||
\(940\) | 8.01481 | − | 26.1178i | 0.261414 | − | 0.851868i | ||||
\(941\) | 10.5273 | + | 4.36054i | 0.343180 | + | 0.142150i | 0.547615 | − | 0.836730i | \(-0.315536\pi\) |
−0.204435 | + | 0.978880i | \(0.565536\pi\) | |||||||
\(942\) | 30.7810 | + | 29.6557i | 1.00290 | + | 0.966235i | ||||
\(943\) | −13.3987 | −0.436321 | ||||||||
\(944\) | 19.2732 | − | 12.6989i | 0.627288 | − | 0.413313i | ||||
\(945\) | 9.30855 | − | 17.9120i | 0.302807 | − | 0.582676i | ||||
\(946\) | −19.7685 | + | 9.31083i | −0.642729 | + | 0.302721i | ||||
\(947\) | −22.3491 | + | 53.9555i | −0.726248 | + | 1.75332i | −0.0715370 | + | 0.997438i | \(0.522790\pi\) |
−0.654711 | + | 0.755879i | \(0.727210\pi\) | |||||||
\(948\) | −20.3369 | + | 23.2199i | −0.660511 | + | 0.754146i | ||||
\(949\) | −2.77609 | + | 1.14990i | −0.0901158 | + | 0.0373272i | ||||
\(950\) | −0.890724 | − | 18.7479i | −0.0288989 | − | 0.608262i | ||||
\(951\) | −2.24416 | − | 1.00637i | −0.0727718 | − | 0.0326338i | ||||
\(952\) | 6.29862 | + | 1.61014i | 0.204139 | + | 0.0521850i | ||||
\(953\) | −32.8805 | − | 32.8805i | −1.06510 | − | 1.06510i | −0.997728 | − | 0.0673750i | \(-0.978538\pi\) |
−0.0673750 | − | 0.997728i | \(-0.521462\pi\) | |||||||
\(954\) | 17.3154 | + | 0.177300i | 0.560606 | + | 0.00574030i | ||||
\(955\) | −24.6644 | + | 10.2163i | −0.798122 | + | 0.330593i | ||||
\(956\) | 27.5068 | − | 33.2976i | 0.889633 | − | 1.07692i | ||||
\(957\) | 53.5741 | + | 1.54642i | 1.73180 | + | 0.0499885i | ||||
\(958\) | 16.4970 | − | 45.8728i | 0.532995 | − | 1.48208i | ||||
\(959\) | 14.0435 | 0.453489 | ||||||||
\(960\) | 15.8943 | + | 2.18649i | 0.512985 | + | 0.0705686i | ||||
\(961\) | −9.51359 | −0.306890 | ||||||||
\(962\) | 0.127604 | − | 0.354824i | 0.00411411 | − | 0.0114400i | ||||
\(963\) | −0.0520098 | + | 0.0181049i | −0.00167599 | + | 0.000583421i | ||||
\(964\) | −18.6090 | + | 22.5266i | −0.599357 | + | 0.725534i | ||||
\(965\) | −8.05330 | + | 3.33578i | −0.259245 | + | 0.107383i | ||||
\(966\) | 8.71226 | − | 22.1931i | 0.280312 | − | 0.714052i | ||||
\(967\) | 14.6204 | + | 14.6204i | 0.470160 | + | 0.470160i | 0.901966 | − | 0.431807i | \(-0.142124\pi\) |
−0.431807 | + | 0.901966i | \(0.642124\pi\) | |||||||
\(968\) | −17.1321 | + | 67.0180i | −0.550647 | + | 2.15404i | ||||
\(969\) | 1.76089 | − | 3.92670i | 0.0565679 | − | 0.126144i | ||||
\(970\) | 0.673364 | + | 14.1729i | 0.0216204 | + | 0.455065i | ||||
\(971\) | −39.9825 | + | 16.5613i | −1.28310 | + | 0.531477i | −0.916921 | − | 0.399068i | \(-0.869334\pi\) |
−0.366178 | + | 0.930545i | \(0.619334\pi\) | |||||||
\(972\) | −23.1058 | + | 20.9314i | −0.741118 | + | 0.671375i | ||||
\(973\) | 6.41357 | − | 15.4837i | 0.205610 | − | 0.496386i | ||||
\(974\) | −24.7356 | + | 11.6503i | −0.792580 | + | 0.373300i | ||||
\(975\) | 5.36091 | − | 2.04141i | 0.171687 | − | 0.0653775i | ||||
\(976\) | 1.33899 | − | 6.51176i | 0.0428600 | − | 0.208436i | ||||
\(977\) | −14.1567 | −0.452912 | −0.226456 | − | 0.974021i | \(-0.572714\pi\) | ||||
−0.226456 | + | 0.974021i | \(0.572714\pi\) | |||||||
\(978\) | 20.5252 | − | 21.3040i | 0.656323 | − | 0.681228i | ||||
\(979\) | −15.5079 | − | 6.42359i | −0.495635 | − | 0.205299i | ||||
\(980\) | −2.89220 | + | 9.42478i | −0.0923880 | + | 0.301064i | ||||
\(981\) | 16.8713 | − | 34.8894i | 0.538659 | − | 1.11393i | ||||
\(982\) | 1.16255 | + | 24.4693i | 0.0370985 | + | 0.780847i | ||||
\(983\) | −27.5590 | − | 27.5590i | −0.878995 | − | 0.878995i | 0.114436 | − | 0.993431i | \(-0.463494\pi\) |
−0.993431 | + | 0.114436i | \(0.963494\pi\) | |||||||
\(984\) | −21.7507 | − | 6.23406i | −0.693387 | − | 0.198735i | ||||
\(985\) | −1.90311 | + | 1.90311i | −0.0606381 | + | 0.0606381i | ||||
\(986\) | −3.72501 | − | 3.38711i | −0.118628 | − | 0.107868i | ||||
\(987\) | −47.0595 | − | 49.8570i | −1.49792 | − | 1.58697i | ||||
\(988\) | 6.53543 | − | 0.622410i | 0.207920 | − | 0.0198015i | ||||
\(989\) | 2.88077 | − | 6.95478i | 0.0916030 | − | 0.221149i | ||||
\(990\) | −10.9167 | − | 27.1378i | −0.346954 | − | 0.862496i | ||||
\(991\) | − | 14.9042i | − | 0.473446i | −0.971577 | − | 0.236723i | \(-0.923927\pi\) | ||
0.971577 | − | 0.236723i | \(-0.0760734\pi\) | |||||||
\(992\) | −5.57016 | + | 35.5726i | −0.176853 | + | 1.12943i | ||||
\(993\) | −21.9447 | + | 8.35645i | −0.696395 | + | 0.265184i | ||||
\(994\) | −18.1474 | + | 50.4618i | −0.575599 | + | 1.60055i | ||||
\(995\) | −11.3008 | − | 4.68093i | −0.358258 | − | 0.148395i | ||||
\(996\) | −12.3040 | − | 24.9097i | −0.389868 | − | 0.789294i | ||||
\(997\) | −4.66402 | − | 11.2599i | −0.147711 | − | 0.356606i | 0.832655 | − | 0.553792i | \(-0.186820\pi\) |
−0.980366 | + | 0.197186i | \(0.936820\pi\) | |||||||
\(998\) | −6.55127 | + | 7.20484i | −0.207377 | + | 0.228065i | ||||
\(999\) | −1.45960 | + | 0.461327i | −0.0461798 | + | 0.0145958i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 96.2.o.a.35.9 | yes | 56 | |
3.2 | odd | 2 | inner | 96.2.o.a.35.6 | yes | 56 | |
4.3 | odd | 2 | 384.2.o.a.47.7 | 56 | |||
8.3 | odd | 2 | 768.2.o.a.95.8 | 56 | |||
8.5 | even | 2 | 768.2.o.b.95.7 | 56 | |||
12.11 | even | 2 | 384.2.o.a.47.4 | 56 | |||
24.5 | odd | 2 | 768.2.o.b.95.4 | 56 | |||
24.11 | even | 2 | 768.2.o.a.95.11 | 56 | |||
32.5 | even | 8 | 768.2.o.a.671.11 | 56 | |||
32.11 | odd | 8 | inner | 96.2.o.a.11.6 | ✓ | 56 | |
32.21 | even | 8 | 384.2.o.a.335.4 | 56 | |||
32.27 | odd | 8 | 768.2.o.b.671.4 | 56 | |||
96.5 | odd | 8 | 768.2.o.a.671.8 | 56 | |||
96.11 | even | 8 | inner | 96.2.o.a.11.9 | yes | 56 | |
96.53 | odd | 8 | 384.2.o.a.335.7 | 56 | |||
96.59 | even | 8 | 768.2.o.b.671.7 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.o.a.11.6 | ✓ | 56 | 32.11 | odd | 8 | inner | |
96.2.o.a.11.9 | yes | 56 | 96.11 | even | 8 | inner | |
96.2.o.a.35.6 | yes | 56 | 3.2 | odd | 2 | inner | |
96.2.o.a.35.9 | yes | 56 | 1.1 | even | 1 | trivial | |
384.2.o.a.47.4 | 56 | 12.11 | even | 2 | |||
384.2.o.a.47.7 | 56 | 4.3 | odd | 2 | |||
384.2.o.a.335.4 | 56 | 32.21 | even | 8 | |||
384.2.o.a.335.7 | 56 | 96.53 | odd | 8 | |||
768.2.o.a.95.8 | 56 | 8.3 | odd | 2 | |||
768.2.o.a.95.11 | 56 | 24.11 | even | 2 | |||
768.2.o.a.671.8 | 56 | 96.5 | odd | 8 | |||
768.2.o.a.671.11 | 56 | 32.5 | even | 8 | |||
768.2.o.b.95.4 | 56 | 24.5 | odd | 2 | |||
768.2.o.b.95.7 | 56 | 8.5 | even | 2 | |||
768.2.o.b.671.4 | 56 | 32.27 | odd | 8 | |||
768.2.o.b.671.7 | 56 | 96.59 | even | 8 |