Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 131.26 | ||
Character | \(\chi\) | \(=\) | 300.131 |
Dual form | 300.2.n.a.71.26 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.322989 | − | 1.37684i | −0.228388 | − | 0.973570i | ||||
\(3\) | 1.63324 | + | 0.576640i | 0.942954 | + | 0.332923i | ||||
\(4\) | −1.79136 | + | 0.889407i | −0.895678 | + | 0.444703i | ||||
\(5\) | 1.79390 | − | 1.33489i | 0.802257 | − | 0.596979i | ||||
\(6\) | 0.266418 | − | 2.43496i | 0.108765 | − | 0.994068i | ||||
\(7\) | − | 3.04159i | − | 1.14961i | −0.818290 | − | 0.574806i | \(-0.805077\pi\) | ||
0.818290 | − | 0.574806i | \(-0.194923\pi\) | |||||||
\(8\) | 1.80316 | + | 2.17913i | 0.637512 | + | 0.770440i | ||||
\(9\) | 2.33497 | + | 1.88359i | 0.778324 | + | 0.627862i | ||||
\(10\) | −2.41733 | − | 2.03875i | −0.764427 | − | 0.644710i | ||||
\(11\) | −0.519850 | − | 1.59994i | −0.156741 | − | 0.482399i | 0.841592 | − | 0.540113i | \(-0.181619\pi\) |
−0.998333 | + | 0.0577147i | \(0.981619\pi\) | |||||||
\(12\) | −3.43859 | + | 0.419651i | −0.992635 | + | 0.121143i | ||||
\(13\) | −1.88691 | + | 5.80732i | −0.523336 | + | 1.61066i | 0.244248 | + | 0.969713i | \(0.421459\pi\) |
−0.767584 | + | 0.640949i | \(0.778541\pi\) | |||||||
\(14\) | −4.18777 | + | 0.982401i | −1.11923 | + | 0.262558i | ||||
\(15\) | 3.69963 | − | 1.14576i | 0.955239 | − | 0.295834i | ||||
\(16\) | 2.41791 | − | 3.18649i | 0.604478 | − | 0.796622i | ||||
\(17\) | 0.841506 | − | 1.15823i | 0.204095 | − | 0.280913i | −0.694684 | − | 0.719316i | \(-0.744456\pi\) |
0.898779 | + | 0.438403i | \(0.144456\pi\) | |||||||
\(18\) | 1.83922 | − | 3.82325i | 0.433508 | − | 0.901150i | ||||
\(19\) | 2.14597 | − | 2.95368i | 0.492320 | − | 0.677621i | −0.488494 | − | 0.872568i | \(-0.662453\pi\) |
0.980814 | + | 0.194947i | \(0.0624534\pi\) | |||||||
\(20\) | −2.02626 | + | 3.98676i | −0.453085 | + | 0.891467i | ||||
\(21\) | 1.75390 | − | 4.96766i | 0.382733 | − | 1.08403i | ||||
\(22\) | −2.03494 | + | 1.23251i | −0.433851 | + | 0.262772i | ||||
\(23\) | −1.33200 | − | 4.09948i | −0.277742 | − | 0.854801i | −0.988481 | − | 0.151346i | \(-0.951639\pi\) |
0.710739 | − | 0.703456i | \(-0.248361\pi\) | |||||||
\(24\) | 1.68842 | + | 4.59883i | 0.344647 | + | 0.938732i | ||||
\(25\) | 1.43616 | − | 4.78931i | 0.287231 | − | 0.957861i | ||||
\(26\) | 8.60518 | + | 0.722268i | 1.68762 | + | 0.141648i | ||||
\(27\) | 2.72743 | + | 4.42280i | 0.524894 | + | 0.851168i | ||||
\(28\) | 2.70521 | + | 5.44857i | 0.511237 | + | 1.02968i | ||||
\(29\) | −1.32412 | − | 1.82249i | −0.245883 | − | 0.338428i | 0.668181 | − | 0.743998i | \(-0.267073\pi\) |
−0.914064 | + | 0.405570i | \(0.867073\pi\) | |||||||
\(30\) | −2.77246 | − | 4.72371i | −0.506181 | − | 0.862428i | ||||
\(31\) | −3.80357 | + | 5.23517i | −0.683142 | + | 0.940264i | −0.999966 | − | 0.00822000i | \(-0.997383\pi\) |
0.316824 | + | 0.948484i | \(0.397383\pi\) | |||||||
\(32\) | −5.16823 | − | 2.29987i | −0.913623 | − | 0.406563i | ||||
\(33\) | 0.0735435 | − | 2.91285i | 0.0128023 | − | 0.507062i | ||||
\(34\) | −1.86650 | − | 0.784519i | −0.320101 | − | 0.134544i | ||||
\(35\) | −4.06018 | − | 5.45631i | −0.686295 | − | 0.922284i | ||||
\(36\) | −5.85804 | − | 1.29743i | −0.976340 | − | 0.216239i | ||||
\(37\) | −3.25448 | + | 10.0162i | −0.535033 | + | 1.64666i | 0.208546 | + | 0.978012i | \(0.433127\pi\) |
−0.743579 | + | 0.668648i | \(0.766873\pi\) | |||||||
\(38\) | −4.75986 | − | 2.00065i | −0.772151 | − | 0.324548i | ||||
\(39\) | −6.43052 | + | 8.39671i | −1.02971 | + | 1.34455i | ||||
\(40\) | 6.14358 | + | 1.50214i | 0.971385 | + | 0.237510i | ||||
\(41\) | 8.40760 | + | 2.73179i | 1.31305 | + | 0.426635i | 0.880101 | − | 0.474786i | \(-0.157474\pi\) |
0.432945 | + | 0.901420i | \(0.357474\pi\) | |||||||
\(42\) | −7.40614 | − | 0.810334i | −1.14279 | − | 0.125037i | ||||
\(43\) | 2.84174i | 0.433361i | 0.976243 | + | 0.216681i | \(0.0695230\pi\) | ||||
−0.976243 | + | 0.216681i | \(0.930477\pi\) | |||||||
\(44\) | 2.35423 | + | 2.40369i | 0.354914 | + | 0.362371i | ||||
\(45\) | 6.70308 | + | 0.262044i | 0.999237 | + | 0.0390632i | ||||
\(46\) | −5.21409 | + | 3.15804i | −0.768776 | + | 0.465627i | ||||
\(47\) | −5.06530 | + | 3.68016i | −0.738850 | + | 0.536806i | −0.892351 | − | 0.451342i | \(-0.850945\pi\) |
0.153501 | + | 0.988149i | \(0.450945\pi\) | |||||||
\(48\) | 5.78650 | − | 3.81005i | 0.835209 | − | 0.549933i | ||||
\(49\) | −2.25126 | −0.321609 | ||||||||
\(50\) | −7.05795 | − | 0.430458i | −0.998145 | − | 0.0608760i | ||||
\(51\) | 2.04227 | − | 1.40643i | 0.285975 | − | 0.196940i | ||||
\(52\) | −1.78494 | − | 12.0812i | −0.247526 | − | 1.67536i | ||||
\(53\) | −5.69631 | − | 7.84030i | −0.782448 | − | 1.07695i | −0.995008 | − | 0.0997996i | \(-0.968180\pi\) |
0.212559 | − | 0.977148i | \(-0.431820\pi\) | |||||||
\(54\) | 5.20854 | − | 5.18374i | 0.708792 | − | 0.705418i | ||||
\(55\) | −3.06829 | − | 2.17618i | −0.413728 | − | 0.293436i | ||||
\(56\) | 6.62803 | − | 5.48446i | 0.885708 | − | 0.732892i | ||||
\(57\) | 5.20811 | − | 3.58663i | 0.689831 | − | 0.475060i | ||||
\(58\) | −2.08160 | + | 2.41174i | −0.273327 | + | 0.316677i | ||||
\(59\) | −3.64876 | + | 11.2297i | −0.475028 | + | 1.46199i | 0.370891 | + | 0.928676i | \(0.379052\pi\) |
−0.845920 | + | 0.533311i | \(0.820948\pi\) | |||||||
\(60\) | −5.60830 | + | 5.34294i | −0.724028 | + | 0.689770i | ||||
\(61\) | 0.190864 | + | 0.587420i | 0.0244377 | + | 0.0752114i | 0.962532 | − | 0.271170i | \(-0.0874104\pi\) |
−0.938094 | + | 0.346381i | \(0.887410\pi\) | |||||||
\(62\) | 8.43648 | + | 3.54599i | 1.07143 | + | 0.450342i | ||||
\(63\) | 5.72910 | − | 7.10203i | 0.721798 | − | 0.894771i | ||||
\(64\) | −1.49726 | + | 7.85864i | −0.187157 | + | 0.982330i | ||||
\(65\) | 4.36718 | + | 12.9366i | 0.541682 | + | 1.60458i | ||||
\(66\) | −4.03427 | + | 0.839562i | −0.496585 | + | 0.103343i | ||||
\(67\) | −1.22685 | + | 1.68861i | −0.149883 | + | 0.206296i | −0.877356 | − | 0.479840i | \(-0.840695\pi\) |
0.727473 | + | 0.686136i | \(0.240695\pi\) | |||||||
\(68\) | −0.477296 | + | 2.82325i | −0.0578806 | + | 0.342369i | ||||
\(69\) | 0.188439 | − | 7.46354i | 0.0226854 | − | 0.898505i | ||||
\(70\) | −6.20105 | + | 7.35253i | −0.741167 | + | 0.878795i | ||||
\(71\) | −0.331304 | + | 0.240707i | −0.0393186 | + | 0.0285666i | −0.607271 | − | 0.794495i | \(-0.707736\pi\) |
0.567952 | + | 0.823061i | \(0.307736\pi\) | |||||||
\(72\) | 0.105731 | + | 8.48462i | 0.0124605 | + | 0.999922i | ||||
\(73\) | 0.657763 | + | 2.02439i | 0.0769853 | + | 0.236936i | 0.982142 | − | 0.188142i | \(-0.0602465\pi\) |
−0.905157 | + | 0.425078i | \(0.860247\pi\) | |||||||
\(74\) | 14.8419 | + | 1.24574i | 1.72533 | + | 0.144814i | ||||
\(75\) | 5.10730 | − | 6.99396i | 0.589740 | − | 0.807593i | ||||
\(76\) | −1.21718 | + | 7.19974i | −0.139620 | + | 0.825866i | ||||
\(77\) | −4.86635 | + | 1.58117i | −0.554572 | + | 0.180191i | ||||
\(78\) | 13.6379 | + | 6.14173i | 1.54419 | + | 0.695414i | ||||
\(79\) | 8.14442 | + | 11.2098i | 0.916318 | + | 1.26120i | 0.964962 | + | 0.262388i | \(0.0845100\pi\) |
−0.0486441 | + | 0.998816i | \(0.515490\pi\) | |||||||
\(80\) | 0.0838934 | − | 8.94388i | 0.00937956 | − | 0.999956i | ||||
\(81\) | 1.90420 | + | 8.79625i | 0.211578 | + | 0.977361i | ||||
\(82\) | 1.04567 | − | 12.4582i | 0.115475 | − | 1.37578i | ||||
\(83\) | −5.79636 | − | 4.21130i | −0.636233 | − | 0.462250i | 0.222321 | − | 0.974974i | \(-0.428637\pi\) |
−0.858554 | + | 0.512723i | \(0.828637\pi\) | |||||||
\(84\) | 1.27641 | + | 10.4588i | 0.139267 | + | 1.14115i | ||||
\(85\) | −0.0365324 | − | 3.20107i | −0.00396249 | − | 0.347205i | ||||
\(86\) | 3.91261 | − | 0.917851i | 0.421908 | − | 0.0989745i | ||||
\(87\) | −1.11169 | − | 3.74011i | −0.119185 | − | 0.400982i | ||||
\(88\) | 2.54910 | − | 4.01776i | 0.271735 | − | 0.428294i | ||||
\(89\) | 0.333139 | − | 0.108243i | 0.0353126 | − | 0.0114738i | −0.291307 | − | 0.956629i | \(-0.594090\pi\) |
0.326620 | + | 0.945156i | \(0.394090\pi\) | |||||||
\(90\) | −1.80423 | − | 9.31369i | −0.190183 | − | 0.981749i | ||||
\(91\) | 17.6635 | + | 5.73921i | 1.85164 | + | 0.601633i | ||||
\(92\) | 6.03220 | + | 6.15894i | 0.628900 | + | 0.642114i | ||||
\(93\) | −9.23097 | + | 6.35702i | −0.957207 | + | 0.659192i | ||||
\(94\) | 6.70301 | + | 5.78544i | 0.691363 | + | 0.596723i | ||||
\(95\) | −0.0931634 | − | 8.16324i | −0.00955836 | − | 0.837531i | ||||
\(96\) | −7.11479 | − | 6.73645i | −0.726150 | − | 0.687536i | ||||
\(97\) | −0.649353 | + | 0.471783i | −0.0659318 | + | 0.0479023i | −0.620263 | − | 0.784394i | \(-0.712974\pi\) |
0.554331 | + | 0.832296i | \(0.312974\pi\) | |||||||
\(98\) | 0.727134 | + | 3.09962i | 0.0734516 | + | 0.313109i | ||||
\(99\) | 1.79978 | − | 4.71499i | 0.180885 | − | 0.473874i | ||||
\(100\) | 1.68697 | + | 9.85668i | 0.168697 | + | 0.985668i | ||||
\(101\) | 9.88678i | 0.983771i | 0.870660 | + | 0.491886i | \(0.163692\pi\) | ||||
−0.870660 | + | 0.491886i | \(0.836308\pi\) | |||||||
\(102\) | −2.59606 | − | 2.35761i | −0.257048 | − | 0.233438i | ||||
\(103\) | −4.39542 | − | 6.04977i | −0.433093 | − | 0.596102i | 0.535566 | − | 0.844493i | \(-0.320098\pi\) |
−0.968660 | + | 0.248391i | \(0.920098\pi\) | |||||||
\(104\) | −16.0573 | + | 6.35967i | −1.57455 | + | 0.623617i | ||||
\(105\) | −3.48493 | − | 11.2527i | −0.340095 | − | 1.09816i | ||||
\(106\) | −8.95496 | + | 10.3752i | −0.869783 | + | 1.00773i | ||||
\(107\) | 1.26467 | 0.122260 | 0.0611301 | − | 0.998130i | \(-0.480530\pi\) | ||||
0.0611301 | + | 0.998130i | \(0.480530\pi\) | |||||||
\(108\) | −8.81946 | − | 5.49701i | −0.848653 | − | 0.528950i | ||||
\(109\) | 3.82352 | − | 11.7676i | 0.366227 | − | 1.12713i | −0.582983 | − | 0.812485i | \(-0.698114\pi\) |
0.949209 | − | 0.314645i | \(-0.101886\pi\) | |||||||
\(110\) | −2.00522 | + | 4.92742i | −0.191190 | + | 0.469811i | ||||
\(111\) | −11.0911 | + | 14.4823i | −1.05272 | + | 1.37460i | ||||
\(112\) | −9.69199 | − | 7.35429i | −0.915807 | − | 0.694915i | ||||
\(113\) | −14.3187 | − | 4.65242i | −1.34699 | − | 0.437662i | −0.455309 | − | 0.890334i | \(-0.650471\pi\) |
−0.891678 | + | 0.452671i | \(0.850471\pi\) | |||||||
\(114\) | −6.62036 | − | 6.01227i | −0.620054 | − | 0.563101i | ||||
\(115\) | −7.86182 | − | 5.57599i | −0.733119 | − | 0.519964i | ||||
\(116\) | 3.99290 | + | 2.08705i | 0.370732 | + | 0.193778i | ||||
\(117\) | −15.3445 | + | 10.0058i | −1.41860 | + | 0.925034i | ||||
\(118\) | 16.6400 | + | 1.39666i | 1.53184 | + | 0.128573i | ||||
\(119\) | −3.52287 | − | 2.55952i | −0.322941 | − | 0.234630i | ||||
\(120\) | 9.16777 | + | 5.99600i | 0.836899 | + | 0.547357i | ||||
\(121\) | 6.60964 | − | 4.80218i | 0.600876 | − | 0.436562i | ||||
\(122\) | 0.747134 | − | 0.452519i | 0.0676423 | − | 0.0409692i | ||||
\(123\) | 12.1564 | + | 9.30984i | 1.09611 | + | 0.839440i | ||||
\(124\) | 2.15736 | − | 12.7610i | 0.193737 | − | 1.14597i | ||||
\(125\) | −3.81686 | − | 10.5086i | −0.341390 | − | 0.939922i | ||||
\(126\) | −11.6288 | − | 5.59415i | −1.03597 | − | 0.498366i | ||||
\(127\) | 0.0967531 | − | 0.0314370i | 0.00858545 | − | 0.00278958i | −0.304721 | − | 0.952442i | \(-0.598563\pi\) |
0.313307 | + | 0.949652i | \(0.398563\pi\) | |||||||
\(128\) | 11.3037 | − | 0.476780i | 0.999112 | − | 0.0421418i | ||||
\(129\) | −1.63866 | + | 4.64125i | −0.144276 | + | 0.408640i | ||||
\(130\) | 16.4010 | − | 10.1913i | 1.43846 | − | 0.893833i | ||||
\(131\) | 2.63804 | + | 1.91665i | 0.230486 | + | 0.167458i | 0.697034 | − | 0.717038i | \(-0.254502\pi\) |
−0.466548 | + | 0.884496i | \(0.654502\pi\) | |||||||
\(132\) | 2.45897 | + | 5.28336i | 0.214026 | + | 0.459858i | ||||
\(133\) | −8.98388 | − | 6.52717i | −0.779001 | − | 0.565978i | ||||
\(134\) | 2.72119 | + | 1.14376i | 0.235075 | + | 0.0988061i | ||||
\(135\) | 10.7967 | + | 4.29325i | 0.929229 | + | 0.369504i | ||||
\(136\) | 4.04131 | − | 0.254721i | 0.346540 | − | 0.0218421i | ||||
\(137\) | −1.43686 | − | 0.466863i | −0.122759 | − | 0.0398868i | 0.246993 | − | 0.969017i | \(-0.420557\pi\) |
−0.369752 | + | 0.929130i | \(0.620557\pi\) | |||||||
\(138\) | −10.3369 | + | 2.15119i | −0.879939 | + | 0.183122i | ||||
\(139\) | −8.29339 | + | 2.69469i | −0.703436 | + | 0.228560i | −0.638827 | − | 0.769350i | \(-0.720580\pi\) |
−0.0646093 | + | 0.997911i | \(0.520580\pi\) | |||||||
\(140\) | 12.1261 | + | 6.16304i | 1.02484 | + | 0.520872i | ||||
\(141\) | −10.3950 | + | 3.08974i | −0.875417 | + | 0.260203i | ||||
\(142\) | 0.438421 | + | 0.378406i | 0.0367915 | + | 0.0317551i | ||||
\(143\) | 10.2723 | 0.859009 | ||||||||
\(144\) | 11.6478 | − | 2.88602i | 0.970649 | − | 0.240501i | ||||
\(145\) | −4.80816 | − | 1.50182i | −0.399296 | − | 0.124720i | ||||
\(146\) | 2.57480 | − | 1.55949i | 0.213092 | − | 0.129064i | ||||
\(147\) | −3.67686 | − | 1.29817i | −0.303262 | − | 0.107071i | ||||
\(148\) | −3.07859 | − | 20.8372i | −0.253059 | − | 1.71281i | ||||
\(149\) | − | 7.84832i | − | 0.642960i | −0.946916 | − | 0.321480i | \(-0.895820\pi\) | ||
0.946916 | − | 0.321480i | \(-0.104180\pi\) | |||||||
\(150\) | −11.2791 | − | 4.77294i | −0.920938 | − | 0.389709i | ||||
\(151\) | − | 22.0326i | − | 1.79299i | −0.443052 | − | 0.896496i | \(-0.646104\pi\) | ||
0.443052 | − | 0.896496i | \(-0.353896\pi\) | |||||||
\(152\) | 10.3060 | − | 0.649579i | 0.835926 | − | 0.0526878i | ||||
\(153\) | 4.14653 | − | 1.11939i | 0.335227 | − | 0.0904977i | ||||
\(154\) | 3.74879 | + | 6.18946i | 0.302086 | + | 0.498761i | ||||
\(155\) | 0.165125 | + | 14.4687i | 0.0132632 | + | 1.16215i | ||||
\(156\) | 4.05127 | − | 20.7608i | 0.324361 | − | 1.66220i | ||||
\(157\) | 5.67807 | 0.453159 | 0.226580 | − | 0.973993i | \(-0.427246\pi\) | ||||
0.226580 | + | 0.973993i | \(0.427246\pi\) | |||||||
\(158\) | 12.8035 | − | 14.8342i | 1.01859 | − | 1.18014i | ||||
\(159\) | −4.78244 | − | 16.0898i | −0.379272 | − | 1.27601i | ||||
\(160\) | −12.3414 | + | 2.77327i | −0.975670 | + | 0.219246i | ||||
\(161\) | −12.4689 | + | 4.05140i | −0.982690 | + | 0.319295i | ||||
\(162\) | 11.4960 | − | 5.46286i | 0.903208 | − | 0.429203i | ||||
\(163\) | 4.48576 | + | 1.45751i | 0.351352 | + | 0.114161i | 0.479375 | − | 0.877610i | \(-0.340863\pi\) |
−0.128023 | + | 0.991771i | \(0.540863\pi\) | |||||||
\(164\) | −17.4907 | + | 2.58416i | −1.36579 | + | 0.201789i | ||||
\(165\) | −3.75640 | − | 5.32354i | −0.292435 | − | 0.414437i | ||||
\(166\) | −3.92611 | + | 9.34084i | −0.304725 | + | 0.724990i | ||||
\(167\) | −11.1648 | − | 8.11168i | −0.863956 | − | 0.627701i | 0.0650023 | − | 0.997885i | \(-0.479295\pi\) |
−0.928958 | + | 0.370184i | \(0.879295\pi\) | |||||||
\(168\) | 13.9878 | − | 5.13547i | 1.07918 | − | 0.396210i | ||||
\(169\) | −19.6473 | − | 14.2746i | −1.51133 | − | 1.09805i | ||||
\(170\) | −4.39555 | + | 1.08421i | −0.337123 | + | 0.0831552i | ||||
\(171\) | 10.5743 | − | 2.85463i | 0.808637 | − | 0.218299i | ||||
\(172\) | −2.52746 | − | 5.09057i | −0.192717 | − | 0.388152i | ||||
\(173\) | 13.1064 | − | 4.25851i | 0.996458 | − | 0.323769i | 0.235008 | − | 0.971993i | \(-0.424488\pi\) |
0.761449 | + | 0.648225i | \(0.224488\pi\) | |||||||
\(174\) | −4.79046 | + | 2.73863i | −0.363164 | + | 0.207615i | ||||
\(175\) | −14.5671 | − | 4.36820i | −1.10117 | − | 0.330205i | ||||
\(176\) | −6.35513 | − | 2.21200i | −0.479036 | − | 0.166736i | ||||
\(177\) | −12.4348 | + | 16.2369i | −0.934659 | + | 1.22044i | ||||
\(178\) | −0.256633 | − | 0.423716i | −0.0192355 | − | 0.0317588i | ||||
\(179\) | 5.40793 | − | 3.92909i | 0.404207 | − | 0.293674i | −0.367045 | − | 0.930203i | \(-0.619631\pi\) |
0.771253 | + | 0.636529i | \(0.219631\pi\) | |||||||
\(180\) | −12.2407 | + | 5.49235i | −0.912366 | + | 0.409376i | ||||
\(181\) | 13.8444 | + | 10.0586i | 1.02905 | + | 0.747647i | 0.968118 | − | 0.250496i | \(-0.0805936\pi\) |
0.0609294 | + | 0.998142i | \(0.480594\pi\) | |||||||
\(182\) | 2.19684 | − | 26.1734i | 0.162841 | − | 1.94010i | ||||
\(183\) | −0.0270017 | + | 1.06946i | −0.00199602 | + | 0.0790568i | ||||
\(184\) | 6.53152 | − | 10.2946i | 0.481510 | − | 0.758929i | ||||
\(185\) | 7.53235 | + | 22.3125i | 0.553789 | + | 1.64045i | ||||
\(186\) | 11.7341 | + | 10.6563i | 0.860384 | + | 0.781357i | ||||
\(187\) | −2.29056 | − | 0.744247i | −0.167502 | − | 0.0544247i | ||||
\(188\) | 5.80060 | − | 11.0976i | 0.423052 | − | 0.809375i | ||||
\(189\) | 13.4523 | − | 8.29572i | 0.978513 | − | 0.603425i | ||||
\(190\) | −11.2094 | + | 2.76491i | −0.813212 | + | 0.200588i | ||||
\(191\) | 2.70046 | − | 8.31116i | 0.195398 | − | 0.601374i | −0.804573 | − | 0.593853i | \(-0.797606\pi\) |
0.999972 | − | 0.00752103i | \(-0.00239404\pi\) | |||||||
\(192\) | −6.97699 | + | 11.9717i | −0.503521 | + | 0.863983i | ||||
\(193\) | −1.41726 | −0.102016 | −0.0510082 | − | 0.998698i | \(-0.516243\pi\) | ||||
−0.0510082 | + | 0.998698i | \(0.516243\pi\) | |||||||
\(194\) | 0.859302 | + | 0.741672i | 0.0616943 | + | 0.0532490i | ||||
\(195\) | −0.327070 | + | 23.6469i | −0.0234220 | + | 1.69339i | ||||
\(196\) | 4.03281 | − | 2.00229i | 0.288058 | − | 0.143021i | ||||
\(197\) | 2.75253 | + | 3.78854i | 0.196110 | + | 0.269922i | 0.895735 | − | 0.444588i | \(-0.146650\pi\) |
−0.699625 | + | 0.714510i | \(0.746650\pi\) | |||||||
\(198\) | −7.07308 | − | 0.955112i | −0.502662 | − | 0.0678769i | ||||
\(199\) | − | 18.1468i | − | 1.28639i | −0.765702 | − | 0.643196i | \(-0.777608\pi\) | ||
0.765702 | − | 0.643196i | \(-0.222392\pi\) | |||||||
\(200\) | 13.0262 | − | 5.50629i | 0.921088 | − | 0.389353i | ||||
\(201\) | −2.97746 | + | 2.05046i | −0.210014 | + | 0.144628i | ||||
\(202\) | 13.6125 | − | 3.19332i | 0.957770 | − | 0.224681i | ||||
\(203\) | −5.54327 | + | 4.02742i | −0.389061 | + | 0.282670i | ||||
\(204\) | −2.40754 | + | 4.33583i | −0.168561 | + | 0.303569i | ||||
\(205\) | 18.7290 | − | 6.32262i | 1.30809 | − | 0.441591i | ||||
\(206\) | −6.90987 | + | 8.00578i | −0.481434 | + | 0.557789i | ||||
\(207\) | 4.61154 | − | 12.0811i | 0.320524 | − | 0.839696i | ||||
\(208\) | 13.9426 | + | 20.0542i | 0.966743 | + | 1.39051i | ||||
\(209\) | −5.84128 | − | 1.89795i | −0.404050 | − | 0.131284i | ||||
\(210\) | −14.3676 | + | 8.43270i | −0.991457 | + | 0.581911i | ||||
\(211\) | 0.474177 | − | 0.154069i | 0.0326437 | − | 0.0106066i | −0.292650 | − | 0.956220i | \(-0.594537\pi\) |
0.325293 | + | 0.945613i | \(0.394537\pi\) | |||||||
\(212\) | 17.1773 | + | 8.97843i | 1.17974 | + | 0.616641i | ||||
\(213\) | −0.679902 | + | 0.202090i | −0.0465861 | + | 0.0138469i | ||||
\(214\) | −0.408475 | − | 1.74124i | −0.0279227 | − | 0.119029i | ||||
\(215\) | 3.79340 | + | 5.09780i | 0.258708 | + | 0.347667i | ||||
\(216\) | −4.71989 | + | 13.9184i | −0.321148 | + | 0.947029i | ||||
\(217\) | 15.9232 | + | 11.5689i | 1.08094 | + | 0.785349i | ||||
\(218\) | −17.4370 | − | 1.46356i | −1.18098 | − | 0.0991245i | ||||
\(219\) | −0.0930541 | + | 3.68561i | −0.00628801 | + | 0.249050i | ||||
\(220\) | 7.43191 | + | 1.16936i | 0.501060 | + | 0.0788382i | ||||
\(221\) | 5.13839 | + | 7.07238i | 0.345645 | + | 0.475740i | ||||
\(222\) | 23.5221 | + | 10.5930i | 1.57870 | + | 0.710957i | ||||
\(223\) | −24.8327 | + | 8.06864i | −1.66292 | + | 0.540316i | −0.981482 | − | 0.191557i | \(-0.938646\pi\) |
−0.681441 | + | 0.731873i | \(0.738646\pi\) | |||||||
\(224\) | −6.99525 | + | 15.7196i | −0.467390 | + | 1.05031i | ||||
\(225\) | 12.3745 | − | 8.47777i | 0.824964 | − | 0.565185i | ||||
\(226\) | −1.78084 | + | 21.2171i | −0.118460 | + | 1.41134i | ||||
\(227\) | 4.02587 | + | 12.3904i | 0.267206 | + | 0.822377i | 0.991177 | + | 0.132546i | \(0.0423152\pi\) |
−0.723970 | + | 0.689831i | \(0.757685\pi\) | |||||||
\(228\) | −6.13961 | + | 11.0571i | −0.406605 | + | 0.732271i | ||||
\(229\) | −8.60561 | + | 6.25234i | −0.568675 | + | 0.413167i | −0.834624 | − | 0.550821i | \(-0.814315\pi\) |
0.265949 | + | 0.963987i | \(0.414315\pi\) | |||||||
\(230\) | −5.13794 | + | 12.6254i | −0.338786 | + | 0.832496i | ||||
\(231\) | −8.85970 | − | 0.223689i | −0.582925 | − | 0.0147177i | ||||
\(232\) | 1.58386 | − | 6.17167i | 0.103986 | − | 0.405190i | ||||
\(233\) | 0.255169 | − | 0.351210i | 0.0167167 | − | 0.0230085i | −0.800577 | − | 0.599230i | \(-0.795473\pi\) |
0.817294 | + | 0.576222i | \(0.195473\pi\) | |||||||
\(234\) | 18.7324 | + | 17.8951i | 1.22458 | + | 1.16984i | ||||
\(235\) | −4.17406 | + | 13.3634i | −0.272285 | + | 0.871735i | ||||
\(236\) | −3.45157 | − | 23.3617i | −0.224678 | − | 1.52072i | ||||
\(237\) | 6.83779 | + | 23.0048i | 0.444162 | + | 1.49432i | ||||
\(238\) | −2.38618 | + | 5.67711i | −0.154673 | + | 0.367992i | ||||
\(239\) | −8.48056 | − | 26.1005i | −0.548562 | − | 1.68830i | −0.712367 | − | 0.701807i | \(-0.752377\pi\) |
0.163805 | − | 0.986493i | \(-0.447623\pi\) | |||||||
\(240\) | 5.29441 | − | 14.5592i | 0.341753 | − | 0.939790i | ||||
\(241\) | 3.05825 | − | 9.41233i | 0.196999 | − | 0.606301i | −0.802948 | − | 0.596049i | \(-0.796736\pi\) |
0.999947 | − | 0.0102526i | \(-0.00326355\pi\) | |||||||
\(242\) | −8.74666 | − | 7.54934i | −0.562257 | − | 0.485290i | ||||
\(243\) | −1.96225 | + | 15.4645i | −0.125878 | + | 0.992046i | ||||
\(244\) | −0.864361 | − | 0.882522i | −0.0553350 | − | 0.0564977i | ||||
\(245\) | −4.03854 | + | 3.00518i | −0.258013 | + | 0.191994i | ||||
\(246\) | 8.89174 | − | 19.7444i | 0.566917 | − | 1.25885i | ||||
\(247\) | 13.1037 | + | 18.0357i | 0.833769 | + | 1.14758i | ||||
\(248\) | −18.2666 | + | 1.15133i | −1.15993 | + | 0.0731095i | ||||
\(249\) | −7.03847 | − | 10.2205i | −0.446045 | − | 0.647697i | ||||
\(250\) | −13.2359 | + | 8.64937i | −0.837110 | + | 0.547034i | ||||
\(251\) | 3.02388 | 0.190865 | 0.0954327 | − | 0.995436i | \(-0.469577\pi\) | ||||
0.0954327 | + | 0.995436i | \(0.469577\pi\) | |||||||
\(252\) | −3.94626 | + | 17.8178i | −0.248591 | + | 1.12241i | ||||
\(253\) | −5.86646 | + | 4.26224i | −0.368821 | + | 0.267964i | ||||
\(254\) | −0.0745338 | − | 0.123059i | −0.00467667 | − | 0.00772143i | ||||
\(255\) | 1.78620 | − | 5.24920i | 0.111856 | − | 0.328717i | ||||
\(256\) | −4.30741 | − | 15.4093i | −0.269213 | − | 0.963081i | ||||
\(257\) | − | 17.5378i | − | 1.09398i | −0.837141 | − | 0.546988i | \(-0.815774\pi\) | ||
0.837141 | − | 0.546988i | \(-0.184226\pi\) | |||||||
\(258\) | 6.91952 | + | 0.757091i | 0.430790 | + | 0.0471344i | ||||
\(259\) | 30.4653 | + | 9.89878i | 1.89302 | + | 0.615080i | ||||
\(260\) | −19.3290 | − | 19.2898i | −1.19874 | − | 1.19630i | ||||
\(261\) | 0.341043 | − | 6.74956i | 0.0211100 | − | 0.417787i | ||||
\(262\) | 1.78685 | − | 4.25120i | 0.110392 | − | 0.262640i | ||||
\(263\) | −7.97131 | + | 24.5332i | −0.491532 | + | 1.51278i | 0.330761 | + | 0.943715i | \(0.392695\pi\) |
−0.822293 | + | 0.569065i | \(0.807305\pi\) | |||||||
\(264\) | 6.48011 | − | 5.09206i | 0.398823 | − | 0.313395i | ||||
\(265\) | −20.6845 | − | 6.46079i | −1.27064 | − | 0.396883i | ||||
\(266\) | −6.08515 | + | 14.4775i | −0.373104 | + | 0.887675i | ||||
\(267\) | 0.606514 | + | 0.0153132i | 0.0371181 | + | 0.000937155i | ||||
\(268\) | 0.695858 | − | 4.11606i | 0.0425063 | − | 0.251429i | ||||
\(269\) | −5.90843 | + | 8.13226i | −0.360244 | + | 0.495833i | −0.950217 | − | 0.311590i | \(-0.899138\pi\) |
0.589973 | + | 0.807423i | \(0.299138\pi\) | |||||||
\(270\) | 2.42389 | − | 16.2519i | 0.147513 | − | 0.989060i | ||||
\(271\) | −4.88812 | − | 6.72793i | −0.296932 | − | 0.408692i | 0.634318 | − | 0.773072i | \(-0.281281\pi\) |
−0.931250 | + | 0.364380i | \(0.881281\pi\) | |||||||
\(272\) | −1.65601 | − | 5.48196i | −0.100410 | − | 0.332392i | ||||
\(273\) | 25.5393 | + | 19.5590i | 1.54571 | + | 1.18377i | ||||
\(274\) | −0.178705 | + | 2.12911i | −0.0107959 | + | 0.128624i | ||||
\(275\) | −8.40917 | + | 0.191965i | −0.507092 | + | 0.0115759i | ||||
\(276\) | 6.30056 | + | 13.5375i | 0.379249 | + | 0.814859i | ||||
\(277\) | −1.97706 | − | 6.08476i | −0.118790 | − | 0.365598i | 0.873929 | − | 0.486054i | \(-0.161564\pi\) |
−0.992719 | + | 0.120456i | \(0.961564\pi\) | |||||||
\(278\) | 6.38882 | + | 10.5483i | 0.383176 | + | 0.632644i | ||||
\(279\) | −18.7421 | + | 5.05962i | −1.12206 | + | 0.302911i | ||||
\(280\) | 4.56890 | − | 18.6862i | 0.273044 | − | 1.11672i | ||||
\(281\) | 14.0046 | − | 19.2756i | 0.835441 | − | 1.14989i | −0.151444 | − | 0.988466i | \(-0.548392\pi\) |
0.986886 | − | 0.161421i | \(-0.0516076\pi\) | |||||||
\(282\) | 7.61154 | + | 13.3143i | 0.453261 | + | 0.792853i | ||||
\(283\) | 14.4234 | − | 19.8522i | 0.857385 | − | 1.18009i | −0.124802 | − | 0.992182i | \(-0.539830\pi\) |
0.982187 | − | 0.187907i | \(-0.0601704\pi\) | |||||||
\(284\) | 0.379398 | − | 0.725856i | 0.0225131 | − | 0.0430716i | ||||
\(285\) | 4.55509 | − | 13.3863i | 0.269820 | − | 0.792935i | ||||
\(286\) | −3.31783 | − | 14.1432i | −0.196187 | − | 0.836306i | ||||
\(287\) | 8.30900 | − | 25.5725i | 0.490464 | − | 1.50949i | ||||
\(288\) | −7.73568 | − | 15.1049i | −0.455829 | − | 0.890067i | ||||
\(289\) | 4.61992 | + | 14.2186i | 0.271760 | + | 0.836391i | ||||
\(290\) | −0.514780 | + | 7.10512i | −0.0302289 | + | 0.417227i | ||||
\(291\) | −1.33260 | + | 0.396093i | −0.0781184 | + | 0.0232194i | ||||
\(292\) | −2.97879 | − | 3.04138i | −0.174320 | − | 0.177983i | ||||
\(293\) | − | 4.61787i | − | 0.269779i | −0.990861 | − | 0.134890i | \(-0.956932\pi\) | ||
0.990861 | − | 0.134890i | \(-0.0430680\pi\) | |||||||
\(294\) | −0.599777 | + | 5.48173i | −0.0349797 | + | 0.319701i | ||||
\(295\) | 8.44490 | + | 25.0157i | 0.491681 | + | 1.45647i | ||||
\(296\) | −27.6951 | + | 10.9689i | −1.60974 | + | 0.637555i | ||||
\(297\) | 5.65833 | − | 6.66290i | 0.328330 | − | 0.386621i | ||||
\(298\) | −10.8059 | + | 2.53492i | −0.625966 | + | 0.146844i | ||||
\(299\) | 26.3204 | 1.52215 | ||||||||
\(300\) | −2.92851 | + | 17.0711i | −0.169078 | + | 0.985603i | ||||
\(301\) | 8.64340 | 0.498197 | ||||||||
\(302\) | −30.3353 | + | 7.11631i | −1.74560 | + | 0.409498i | ||||
\(303\) | −5.70111 | + | 16.1475i | −0.327520 | + | 0.927651i | ||||
\(304\) | −4.22309 | − | 13.9799i | −0.242211 | − | 0.801800i | ||||
\(305\) | 1.12653 | + | 0.798991i | 0.0645049 | + | 0.0457501i | ||||
\(306\) | −2.88051 | − | 5.34754i | −0.164668 | − | 0.305698i | ||||
\(307\) | 13.8516i | 0.790553i | 0.918562 | + | 0.395277i | \(0.129351\pi\) | ||||
−0.918562 | + | 0.395277i | \(0.870649\pi\) | |||||||
\(308\) | 7.31105 | − | 7.16060i | 0.416586 | − | 0.408013i | ||||
\(309\) | −3.69025 | − | 12.4153i | −0.209931 | − | 0.706283i | ||||
\(310\) | 19.8677 | − | 4.90059i | 1.12841 | − | 0.278335i | ||||
\(311\) | 0.348878 | + | 1.07373i | 0.0197830 | + | 0.0608859i | 0.960461 | − | 0.278416i | \(-0.0898093\pi\) |
−0.940678 | + | 0.339302i | \(0.889809\pi\) | |||||||
\(312\) | −29.8928 | + | 1.12759i | −1.69235 | + | 0.0638375i | ||||
\(313\) | −1.96099 | + | 6.03530i | −0.110842 | + | 0.341135i | −0.991057 | − | 0.133439i | \(-0.957398\pi\) |
0.880215 | + | 0.474574i | \(0.157398\pi\) | |||||||
\(314\) | −1.83396 | − | 7.81777i | −0.103496 | − | 0.441182i | ||||
\(315\) | 0.797029 | − | 20.3880i | 0.0449075 | − | 1.14874i | ||||
\(316\) | −24.5596 | − | 12.8371i | −1.38159 | − | 0.722143i | ||||
\(317\) | 9.65590 | − | 13.2902i | 0.542330 | − | 0.746453i | −0.446617 | − | 0.894725i | \(-0.647371\pi\) |
0.988947 | + | 0.148273i | \(0.0473713\pi\) | |||||||
\(318\) | −20.6084 | + | 11.7815i | −1.15566 | + | 0.660673i | ||||
\(319\) | −2.22753 | + | 3.06593i | −0.124718 | + | 0.171659i | ||||
\(320\) | 7.80446 | + | 16.0963i | 0.436283 | + | 0.899810i | ||||
\(321\) | 2.06551 | + | 0.729259i | 0.115286 | + | 0.0407032i | ||||
\(322\) | 9.60545 | + | 15.8591i | 0.535291 | + | 0.883795i | ||||
\(323\) | −1.61520 | − | 4.97108i | −0.0898722 | − | 0.276598i | ||||
\(324\) | −11.2345 | − | 14.0636i | −0.624141 | − | 0.781312i | ||||
\(325\) | 25.1031 | + | 17.3772i | 1.39247 | + | 0.963915i | ||||
\(326\) | 0.557903 | − | 6.64692i | 0.0308994 | − | 0.368139i | ||||
\(327\) | 13.0304 | − | 17.0145i | 0.720582 | − | 0.940906i | ||||
\(328\) | 9.20726 | + | 23.2471i | 0.508386 | + | 1.28361i | ||||
\(329\) | 11.1935 | + | 15.4066i | 0.617119 | + | 0.849392i | ||||
\(330\) | −6.11636 | + | 6.89139i | −0.336695 | + | 0.379358i | ||||
\(331\) | 12.6376 | − | 17.3941i | 0.694624 | − | 0.956068i | −0.305368 | − | 0.952234i | \(-0.598780\pi\) |
0.999993 | − | 0.00383388i | \(-0.00122036\pi\) | |||||||
\(332\) | 14.1289 | + | 2.38862i | 0.775424 | + | 0.131092i | ||||
\(333\) | −26.4656 | + | 17.2576i | −1.45031 | + | 0.945709i | ||||
\(334\) | −7.56236 | + | 17.9920i | −0.413794 | + | 0.984481i | ||||
\(335\) | 0.0532612 | + | 4.66689i | 0.00290997 | + | 0.254980i | ||||
\(336\) | −11.5886 | − | 17.6001i | −0.632210 | − | 0.960166i | ||||
\(337\) | 8.85165 | − | 27.2426i | 0.482180 | − | 1.48400i | −0.353843 | − | 0.935305i | \(-0.615125\pi\) |
0.836024 | − | 0.548693i | \(-0.184875\pi\) | |||||||
\(338\) | −13.3079 | + | 31.6617i | −0.723856 | + | 1.72217i | ||||
\(339\) | −20.7031 | − | 15.8552i | −1.12444 | − | 0.861138i | ||||
\(340\) | 2.91250 | + | 5.70176i | 0.157952 | + | 0.309222i | ||||
\(341\) | 10.3532 | + | 3.36397i | 0.560658 | + | 0.182169i | ||||
\(342\) | −7.34575 | − | 13.6371i | −0.397213 | − | 0.737408i | ||||
\(343\) | − | 14.4437i | − | 0.779887i | ||||||
\(344\) | −6.19253 | + | 5.12410i | −0.333879 | + | 0.276273i | ||||
\(345\) | −9.62494 | − | 13.6404i | −0.518189 | − | 0.734374i | ||||
\(346\) | −10.0965 | − | 16.6698i | −0.542790 | − | 0.896177i | ||||
\(347\) | 2.02863 | − | 1.47389i | 0.108903 | − | 0.0791223i | −0.532001 | − | 0.846744i | \(-0.678560\pi\) |
0.640904 | + | 0.767621i | \(0.278560\pi\) | |||||||
\(348\) | 5.31791 | + | 5.71113i | 0.285070 | + | 0.306149i | ||||
\(349\) | 19.2761 | 1.03182 | 0.515912 | − | 0.856641i | \(-0.327453\pi\) | ||||
0.515912 | + | 0.856641i | \(0.327453\pi\) | |||||||
\(350\) | −1.30928 | + | 21.4674i | −0.0699838 | + | 1.14748i | ||||
\(351\) | −30.8310 | + | 7.49363i | −1.64564 | + | 0.399981i | ||||
\(352\) | −0.992931 | + | 9.46442i | −0.0529234 | + | 0.504455i | ||||
\(353\) | −18.7903 | − | 25.8626i | −1.00011 | − | 1.37653i | −0.925260 | − | 0.379333i | \(-0.876153\pi\) |
−0.0748460 | − | 0.997195i | \(-0.523847\pi\) | |||||||
\(354\) | 26.3718 | + | 11.8764i | 1.40165 | + | 0.631223i | ||||
\(355\) | −0.273011 | + | 0.874057i | −0.0144899 | + | 0.0463901i | ||||
\(356\) | −0.500497 | + | 0.490198i | −0.0265263 | + | 0.0259804i | ||||
\(357\) | −4.27779 | − | 6.21174i | −0.226405 | − | 0.328760i | ||||
\(358\) | −7.15641 | − | 6.17677i | −0.378228 | − | 0.326453i | ||||
\(359\) | −2.27154 | + | 6.99107i | −0.119887 | + | 0.368975i | −0.992935 | − | 0.118660i | \(-0.962140\pi\) |
0.873048 | + | 0.487635i | \(0.162140\pi\) | |||||||
\(360\) | 11.5157 | + | 15.0794i | 0.606929 | + | 0.794756i | ||||
\(361\) | 1.75230 | + | 5.39303i | 0.0922264 | + | 0.283844i | ||||
\(362\) | 9.37739 | − | 22.3103i | 0.492864 | − | 1.17260i | ||||
\(363\) | 13.5643 | − | 4.03176i | 0.711940 | − | 0.211612i | ||||
\(364\) | −36.7461 | + | 5.42905i | −1.92602 | + | 0.284559i | ||||
\(365\) | 3.88229 | + | 2.75351i | 0.203208 | + | 0.144125i | ||||
\(366\) | 1.48119 | − | 0.308247i | 0.0774232 | − | 0.0161123i | ||||
\(367\) | −18.7370 | + | 25.7893i | −0.978063 | + | 1.34619i | −0.0401962 | + | 0.999192i | \(0.512798\pi\) |
−0.937867 | + | 0.346996i | \(0.887202\pi\) | |||||||
\(368\) | −16.2836 | − | 5.66778i | −0.848842 | − | 0.295453i | ||||
\(369\) | 14.4859 | + | 22.2151i | 0.754108 | + | 1.15647i | ||||
\(370\) | 28.2878 | − | 17.5775i | 1.47061 | − | 0.913811i | ||||
\(371\) | −23.8470 | + | 17.3258i | −1.23807 | + | 0.899512i | ||||
\(372\) | 10.8820 | − | 19.5978i | 0.564204 | − | 1.01610i | ||||
\(373\) | 1.92728 | + | 5.93156i | 0.0997908 | + | 0.307125i | 0.988473 | − | 0.151400i | \(-0.0483781\pi\) |
−0.888682 | + | 0.458525i | \(0.848378\pi\) | |||||||
\(374\) | −0.284881 | + | 3.39410i | −0.0147308 | + | 0.175505i | ||||
\(375\) | −0.174158 | − | 19.3641i | −0.00899346 | − | 0.999960i | ||||
\(376\) | −17.1531 | − | 4.40208i | −0.884603 | − | 0.227020i | ||||
\(377\) | 13.0823 | − | 4.25070i | 0.673773 | − | 0.218922i | ||||
\(378\) | −15.7668 | − | 15.8422i | −0.810957 | − | 0.814836i | ||||
\(379\) | 12.0452 | + | 16.5789i | 0.618723 | + | 0.851599i | 0.997259 | − | 0.0739876i | \(-0.0235725\pi\) |
−0.378536 | + | 0.925586i | \(0.623573\pi\) | |||||||
\(380\) | 7.42733 | + | 14.5404i | 0.381014 | + | 0.745907i | ||||
\(381\) | 0.176149 | + | 0.00444741i | 0.00902440 | + | 0.000227848i | ||||
\(382\) | −12.3153 | − | 1.03367i | −0.630107 | − | 0.0528874i | ||||
\(383\) | 23.9236 | + | 17.3815i | 1.22244 | + | 0.888153i | 0.996300 | − | 0.0859420i | \(-0.0273900\pi\) |
0.226138 | + | 0.974095i | \(0.427390\pi\) | |||||||
\(384\) | 18.7366 | + | 5.73944i | 0.956146 | + | 0.292890i | ||||
\(385\) | −6.61905 | + | 9.33248i | −0.337338 | + | 0.475627i | ||||
\(386\) | 0.457759 | + | 1.95133i | 0.0232993 | + | 0.0993201i | ||||
\(387\) | −5.35266 | + | 6.63539i | −0.272091 | + | 0.337296i | ||||
\(388\) | 0.743616 | − | 1.42267i | 0.0377514 | − | 0.0722251i | ||||
\(389\) | −6.59111 | + | 2.14158i | −0.334182 | + | 0.108582i | −0.471302 | − | 0.881972i | \(-0.656216\pi\) |
0.137119 | + | 0.990555i | \(0.456216\pi\) | |||||||
\(390\) | 32.6635 | − | 7.18736i | 1.65398 | − | 0.363946i | ||||
\(391\) | −5.86905 | − | 1.90697i | −0.296810 | − | 0.0964396i | ||||
\(392\) | −4.05938 | − | 4.90580i | −0.205030 | − | 0.247781i | ||||
\(393\) | 3.20335 | + | 4.65155i | 0.161587 | + | 0.234640i | ||||
\(394\) | 4.32716 | − | 5.01345i | 0.217999 | − | 0.252574i | ||||
\(395\) | 29.5741 | + | 9.23744i | 1.48804 | + | 0.464786i | ||||
\(396\) | 0.969496 | + | 10.0470i | 0.0487190 | + | 0.504879i | ||||
\(397\) | −23.5736 | + | 17.1272i | −1.18312 | + | 0.859591i | −0.992521 | − | 0.122076i | \(-0.961045\pi\) |
−0.190604 | + | 0.981667i | \(0.561045\pi\) | |||||||
\(398\) | −24.9852 | + | 5.86122i | −1.25239 | + | 0.293796i | ||||
\(399\) | −10.9090 | − | 15.8409i | −0.546135 | − | 0.793038i | ||||
\(400\) | −11.7886 | − | 16.1564i | −0.589428 | − | 0.807821i | ||||
\(401\) | 12.6018i | 0.629305i | 0.949207 | + | 0.314653i | \(0.101888\pi\) | ||||
−0.949207 | + | 0.314653i | \(0.898112\pi\) | |||||||
\(402\) | 3.78484 | + | 3.43719i | 0.188770 | + | 0.171432i | ||||
\(403\) | −23.2253 | − | 31.9669i | −1.15693 | − | 1.59238i | ||||
\(404\) | −8.79337 | − | 17.7107i | −0.437486 | − | 0.881142i | ||||
\(405\) | 15.1579 | + | 13.2377i | 0.753204 | + | 0.657787i | ||||
\(406\) | 7.33552 | + | 6.33136i | 0.364056 | + | 0.314220i | ||||
\(407\) | 17.7172 | 0.878208 | ||||||||
\(408\) | 6.74733 | + | 1.91436i | 0.334043 | + | 0.0947750i | ||||
\(409\) | −2.71165 | + | 8.34559i | −0.134082 | + | 0.412663i | −0.995446 | − | 0.0953257i | \(-0.969611\pi\) |
0.861364 | + | 0.507988i | \(0.169611\pi\) | |||||||
\(410\) | −14.7545 | − | 23.7447i | −0.728672 | − | 1.17267i | ||||
\(411\) | −2.07753 | − | 1.59105i | −0.102477 | − | 0.0784808i | ||||
\(412\) | 13.2545 | + | 6.92798i | 0.653001 | + | 0.341317i | ||||
\(413\) | 34.1562 | + | 11.0980i | 1.68072 | + | 0.546099i | ||||
\(414\) | −18.1232 | − | 2.44726i | −0.890707 | − | 0.120276i | ||||
\(415\) | −16.0197 | + | 0.182826i | −0.786376 | + | 0.00897456i | ||||
\(416\) | 23.1081 | − | 25.6739i | 1.13297 | − | 1.25877i | ||||
\(417\) | −15.0990 | − | 0.381219i | −0.739401 | − | 0.0186684i | ||||
\(418\) | −0.726492 | + | 8.65551i | −0.0355339 | + | 0.423355i | ||||
\(419\) | 8.34417 | + | 6.06239i | 0.407639 | + | 0.296167i | 0.772645 | − | 0.634838i | \(-0.218933\pi\) |
−0.365006 | + | 0.931005i | \(0.618933\pi\) | |||||||
\(420\) | 16.2510 | + | 17.0581i | 0.792969 | + | 0.832352i | ||||
\(421\) | −22.5238 | + | 16.3645i | −1.09774 | + | 0.797558i | −0.980690 | − | 0.195568i | \(-0.937345\pi\) |
−0.117054 | + | 0.993126i | \(0.537345\pi\) | |||||||
\(422\) | −0.365282 | − | 0.603101i | −0.0177817 | − | 0.0293585i | ||||
\(423\) | −18.7592 | − | 0.947869i | −0.912106 | − | 0.0460870i | ||||
\(424\) | 6.81373 | − | 26.5503i | 0.330904 | − | 1.28940i | ||||
\(425\) | −4.33860 | − | 5.69364i | −0.210453 | − | 0.276182i | ||||
\(426\) | 0.497845 | + | 0.870841i | 0.0241207 | + | 0.0421924i | ||||
\(427\) | 1.78669 | − | 0.580531i | 0.0864640 | − | 0.0280938i | ||||
\(428\) | −2.26547 | + | 1.12481i | −0.109506 | + | 0.0543695i | ||||
\(429\) | 16.7771 | + | 5.92339i | 0.810006 | + | 0.285984i | ||||
\(430\) | 5.79360 | − | 6.86942i | 0.279392 | − | 0.331273i | ||||
\(431\) | 16.0970 | + | 11.6952i | 0.775365 | + | 0.563336i | 0.903584 | − | 0.428410i | \(-0.140926\pi\) |
−0.128219 | + | 0.991746i | \(0.540926\pi\) | |||||||
\(432\) | 20.6879 | + | 2.00301i | 0.995346 | + | 0.0963697i | ||||
\(433\) | −5.60652 | − | 4.07337i | −0.269432 | − | 0.195754i | 0.444863 | − | 0.895599i | \(-0.353252\pi\) |
−0.714295 | + | 0.699845i | \(0.753252\pi\) | |||||||
\(434\) | 10.7855 | − | 25.6603i | 0.517718 | − | 1.23173i | ||||
\(435\) | −6.98688 | − | 5.22542i | −0.334995 | − | 0.250540i | ||||
\(436\) | 3.61688 | + | 24.4806i | 0.173217 | + | 1.17241i | ||||
\(437\) | −14.9670 | − | 4.86307i | −0.715969 | − | 0.232632i | ||||
\(438\) | 5.10454 | − | 1.06229i | 0.243904 | − | 0.0507583i | ||||
\(439\) | 17.0128 | − | 5.52780i | 0.811977 | − | 0.263827i | 0.126542 | − | 0.991961i | \(-0.459612\pi\) |
0.685435 | + | 0.728134i | \(0.259612\pi\) | |||||||
\(440\) | −0.790413 | − | 10.6102i | −0.0376814 | − | 0.505822i | ||||
\(441\) | −5.25664 | − | 4.24045i | −0.250316 | − | 0.201926i | ||||
\(442\) | 8.07787 | − | 9.35902i | 0.384225 | − | 0.445163i | ||||
\(443\) | −25.0923 | −1.19217 | −0.596086 | − | 0.802920i | \(-0.703278\pi\) | ||||
−0.596086 | + | 0.802920i | \(0.703278\pi\) | |||||||
\(444\) | 6.98747 | − | 35.8075i | 0.331611 | − | 1.69935i | ||||
\(445\) | 0.453125 | − | 0.638880i | 0.0214802 | − | 0.0302858i | ||||
\(446\) | 19.1299 | + | 31.5845i | 0.905827 | + | 1.49557i | ||||
\(447\) | 4.52565 | − | 12.8182i | 0.214056 | − | 0.606281i | ||||
\(448\) | 23.9028 | + | 4.55404i | 1.12930 | + | 0.215158i | ||||
\(449\) | − | 19.5542i | − | 0.922821i | −0.887187 | − | 0.461410i | \(-0.847344\pi\) | ||
0.887187 | − | 0.461410i | \(-0.152656\pi\) | |||||||
\(450\) | −15.6693 | − | 14.2994i | −0.738659 | − | 0.674079i | ||||
\(451\) | − | 14.8717i | − | 0.700283i | ||||||
\(452\) | 29.7877 | − | 4.40098i | 1.40110 | − | 0.207005i | ||||
\(453\) | 12.7049 | − | 35.9847i | 0.596928 | − | 1.69071i | ||||
\(454\) | 15.7592 | − | 9.54492i | 0.739615 | − | 0.447965i | ||||
\(455\) | 39.3477 | − | 13.2832i | 1.84465 | − | 0.622725i | ||||
\(456\) | 17.2068 | + | 4.88192i | 0.805781 | + | 0.228617i | ||||
\(457\) | −15.4555 | −0.722977 | −0.361489 | − | 0.932377i | \(-0.617731\pi\) | ||||
−0.361489 | + | 0.932377i | \(0.617731\pi\) | |||||||
\(458\) | 11.3880 | + | 9.82908i | 0.532125 | + | 0.459283i | ||||
\(459\) | 7.41778 | + | 0.562808i | 0.346232 | + | 0.0262696i | ||||
\(460\) | 19.0426 | + | 2.99623i | 0.887868 | + | 0.139700i | ||||
\(461\) | 11.5831 | − | 3.76359i | 0.539481 | − | 0.175288i | −0.0265872 | − | 0.999646i | \(-0.508464\pi\) |
0.566068 | + | 0.824359i | \(0.308464\pi\) | |||||||
\(462\) | 2.55360 | + | 12.2706i | 0.118804 | + | 0.570880i | ||||
\(463\) | −5.50572 | − | 1.78892i | −0.255872 | − | 0.0831380i | 0.178272 | − | 0.983981i | \(-0.442949\pi\) |
−0.434145 | + | 0.900843i | \(0.642949\pi\) | |||||||
\(464\) | −9.00895 | − | 0.187339i | −0.418230 | − | 0.00869699i | ||||
\(465\) | −8.07355 | + | 23.7262i | −0.374402 | + | 1.10027i | ||||
\(466\) | −0.565975 | − | 0.237889i | −0.0262183 | − | 0.0110200i | ||||
\(467\) | 14.7510 | + | 10.7172i | 0.682594 | + | 0.495933i | 0.874217 | − | 0.485535i | \(-0.161375\pi\) |
−0.191623 | + | 0.981469i | \(0.561375\pi\) | |||||||
\(468\) | 18.5882 | − | 31.5714i | 0.859242 | − | 1.45939i | ||||
\(469\) | 5.13605 | + | 3.73156i | 0.237161 | + | 0.172307i | ||||
\(470\) | 19.7474 | + | 1.43074i | 0.910882 | + | 0.0659953i | ||||
\(471\) | 9.27367 | + | 3.27420i | 0.427308 | + | 0.150867i | ||||
\(472\) | −31.0504 | + | 12.2978i | −1.42921 | + | 0.566053i | ||||
\(473\) | 4.54660 | − | 1.47728i | 0.209053 | − | 0.0679254i | ||||
\(474\) | 29.4653 | − | 16.8448i | 1.35339 | − | 0.773708i | ||||
\(475\) | −11.0641 | − | 14.5197i | −0.507657 | − | 0.666208i | ||||
\(476\) | 8.58716 | + | 1.45174i | 0.393592 | + | 0.0665403i | ||||
\(477\) | 1.46715 | − | 29.0364i | 0.0671764 | − | 1.32948i | ||||
\(478\) | −33.1970 | + | 20.1065i | −1.51839 | + | 0.919651i | ||||
\(479\) | −26.7381 | + | 19.4263i | −1.22169 | + | 0.887612i | −0.996240 | − | 0.0866417i | \(-0.972386\pi\) |
−0.225454 | + | 0.974254i | \(0.572386\pi\) | |||||||
\(480\) | −21.7556 | − | 2.58709i | −0.993004 | − | 0.118084i | ||||
\(481\) | −52.0267 | − | 37.7996i | −2.37221 | − | 1.72351i | ||||
\(482\) | −13.9470 | − | 1.17063i | −0.635269 | − | 0.0533207i | ||||
\(483\) | −22.7010 | − | 0.573154i | −1.03293 | − | 0.0260794i | ||||
\(484\) | −7.56912 | + | 14.4811i | −0.344051 | + | 0.658231i | ||||
\(485\) | −0.535099 | + | 1.71314i | −0.0242976 | + | 0.0777898i | ||||
\(486\) | 21.9258 | − | 2.29316i | 0.994575 | − | 0.104020i | ||||
\(487\) | −10.5341 | − | 3.42275i | −0.477347 | − | 0.155100i | 0.0604543 | − | 0.998171i | \(-0.480745\pi\) |
−0.537802 | + | 0.843071i | \(0.680745\pi\) | |||||||
\(488\) | −0.935909 | + | 1.47513i | −0.0423666 | + | 0.0667759i | ||||
\(489\) | 6.48589 | + | 4.96714i | 0.293302 | + | 0.224622i | ||||
\(490\) | 5.44204 | + | 4.58977i | 0.245847 | + | 0.207345i | ||||
\(491\) | 5.36273 | − | 16.5048i | 0.242017 | − | 0.744851i | −0.754096 | − | 0.656764i | \(-0.771925\pi\) |
0.996113 | − | 0.0880867i | \(-0.0280753\pi\) | |||||||
\(492\) | −30.0567 | − | 5.86526i | −1.35506 | − | 0.264426i | ||||
\(493\) | −3.22513 | −0.145252 | ||||||||
\(494\) | 20.5999 | − | 23.8670i | 0.926831 | − | 1.07383i | ||||
\(495\) | −3.06535 | − | 10.8607i | −0.137777 | − | 0.488153i | ||||
\(496\) | 7.48510 | + | 24.7782i | 0.336091 | + | 1.11257i | ||||
\(497\) | 0.732131 | + | 1.00769i | 0.0328406 | + | 0.0452011i | ||||
\(498\) | −11.7986 | + | 12.9919i | −0.528708 | + | 0.582182i | ||||
\(499\) | 5.14989i | 0.230541i | 0.993334 | + | 0.115270i | \(0.0367734\pi\) | ||||
−0.993334 | + | 0.115270i | \(0.963227\pi\) | |||||||
\(500\) | 16.1838 | + | 15.4300i | 0.723762 | + | 0.690050i | ||||
\(501\) | −13.5573 | − | 19.6864i | −0.605695 | − | 0.879524i | ||||
\(502\) | −0.976680 | − | 4.16338i | −0.0435914 | − | 0.185821i | ||||
\(503\) | 17.6453 | − | 12.8201i | 0.786766 | − | 0.571619i | −0.120236 | − | 0.992745i | \(-0.538365\pi\) |
0.907002 | + | 0.421126i | \(0.138365\pi\) | |||||||
\(504\) | 25.8067 | − | 0.321590i | 1.14952 | − | 0.0143247i | ||||
\(505\) | 13.1977 | + | 17.7359i | 0.587291 | + | 0.789237i | ||||
\(506\) | 7.76321 | + | 6.70050i | 0.345117 | + | 0.297874i | ||||
\(507\) | −23.8576 | − | 34.6434i | −1.05955 | − | 1.53857i | ||||
\(508\) | −0.145359 | + | 0.142368i | −0.00644926 | + | 0.00631655i | ||||
\(509\) | −26.8890 | − | 8.73676i | −1.19183 | − | 0.387250i | −0.355083 | − | 0.934835i | \(-0.615547\pi\) |
−0.836750 | + | 0.547585i | \(0.815547\pi\) | |||||||
\(510\) | −7.80421 | − | 0.763869i | −0.345576 | − | 0.0338247i | ||||
\(511\) | 6.15735 | − | 2.00064i | 0.272385 | − | 0.0885033i | ||||
\(512\) | −19.8248 | + | 10.9076i | −0.876142 | + | 0.482054i | ||||
\(513\) | 18.9165 | + | 1.43525i | 0.835185 | + | 0.0633679i | ||||
\(514\) | −24.1466 | + | 5.66451i | −1.06506 | + | 0.249851i | ||||
\(515\) | −15.9607 | − | 4.98531i | −0.703312 | − | 0.219679i | ||||
\(516\) | −1.19254 | − | 9.77157i | −0.0524986 | − | 0.430170i | ||||
\(517\) | 8.52121 | + | 6.19102i | 0.374763 | + | 0.272281i | ||||
\(518\) | 3.78903 | − | 45.1429i | 0.166480 | − | 1.98347i | ||||
\(519\) | 23.8615 | + | 0.602454i | 1.04740 | + | 0.0264448i | ||||
\(520\) | −20.3158 | + | 32.8433i | −0.890908 | + | 1.44028i | ||||
\(521\) | −14.3419 | − | 19.7399i | −0.628330 | − | 0.864822i | 0.369596 | − | 0.929193i | \(-0.379496\pi\) |
−0.997926 | + | 0.0643702i | \(0.979496\pi\) | |||||||
\(522\) | −9.40320 | + | 1.71048i | −0.411567 | + | 0.0748655i | ||||
\(523\) | 22.5818 | − | 7.33727i | 0.987432 | − | 0.320836i | 0.229600 | − | 0.973285i | \(-0.426258\pi\) |
0.757833 | + | 0.652449i | \(0.226258\pi\) | |||||||
\(524\) | −6.43034 | − | 1.08711i | −0.280911 | − | 0.0474905i | ||||
\(525\) | −21.2728 | − | 15.5343i | −0.928419 | − | 0.677973i | ||||
\(526\) | 36.3528 | + | 3.05124i | 1.58506 | + | 0.133040i | ||||
\(527\) | 2.86282 | + | 8.81085i | 0.124706 | + | 0.383807i | ||||
\(528\) | −9.10394 | − | 7.27736i | −0.396198 | − | 0.316707i | ||||
\(529\) | 3.57587 | − | 2.59802i | 0.155472 | − | 0.112957i | ||||
\(530\) | −2.21457 | + | 30.5660i | −0.0961947 | + | 1.32770i | ||||
\(531\) | −29.6719 | + | 19.3484i | −1.28765 | + | 0.839648i | ||||
\(532\) | 21.8986 | + | 3.70216i | 0.949426 | + | 0.160509i | ||||
\(533\) | −31.7288 | + | 43.6710i | −1.37433 | + | 1.89160i | ||||
\(534\) | −0.174814 | − | 0.840016i | −0.00756493 | − | 0.0363511i | ||||
\(535\) | 2.26869 | − | 1.68819i | 0.0980840 | − | 0.0729868i | ||||
\(536\) | −5.89190 | + | 0.371362i | −0.254491 | + | 0.0160404i | ||||
\(537\) | 11.0981 | − | 3.29874i | 0.478920 | − | 0.142351i | ||||
\(538\) | 13.1052 | + | 5.50831i | 0.565003 | + | 0.237480i | ||||
\(539\) | 1.17032 | + | 3.60187i | 0.0504092 | + | 0.155144i | ||||
\(540\) | −23.1591 | + | 1.91190i | −0.996610 | + | 0.0822749i | ||||
\(541\) | −1.16792 | + | 3.59447i | −0.0502126 | + | 0.154539i | −0.973019 | − | 0.230726i | \(-0.925890\pi\) |
0.922806 | + | 0.385265i | \(0.125890\pi\) | |||||||
\(542\) | −7.68444 | + | 8.90319i | −0.330075 | + | 0.382425i | ||||
\(543\) | 16.8111 | + | 24.4113i | 0.721435 | + | 1.04759i | ||||
\(544\) | −7.01288 | + | 4.05067i | −0.300675 | + | 0.173671i | ||||
\(545\) | −8.84937 | − | 26.2138i | −0.379065 | − | 1.12288i | ||||
\(546\) | 18.6806 | − | 41.4808i | 0.799457 | − | 1.77522i | ||||
\(547\) | 19.7513 | + | 27.1853i | 0.844503 | + | 1.16236i | 0.985047 | + | 0.172284i | \(0.0551148\pi\) |
−0.140544 | + | 0.990074i | \(0.544885\pi\) | |||||||
\(548\) | 2.98915 | − | 0.441632i | 0.127690 | − | 0.0188656i | ||||
\(549\) | −0.660793 | + | 1.73112i | −0.0282020 | + | 0.0738824i | ||||
\(550\) | 2.98038 | + | 11.5160i | 0.127084 | + | 0.491046i | ||||
\(551\) | −8.22458 | −0.350379 | ||||||||
\(552\) | 16.6038 | − | 13.0473i | 0.706707 | − | 0.555330i | ||||
\(553\) | 34.0957 | − | 24.7720i | 1.44990 | − | 1.05341i | ||||
\(554\) | −7.73915 | + | 4.68740i | −0.328805 | + | 0.199148i | ||||
\(555\) | −0.564117 | + | 40.7852i | −0.0239454 | + | 1.73124i | ||||
\(556\) | 12.4597 | − | 12.2033i | 0.528411 | − | 0.517537i | ||||
\(557\) | 42.7946i | 1.81327i | 0.421920 | + | 0.906633i | \(0.361356\pi\) | ||||
−0.421920 | + | 0.906633i | \(0.638644\pi\) | |||||||
\(558\) | 13.0198 | + | 24.1707i | 0.551171 | + | 1.02323i | ||||
\(559\) | −16.5029 | − | 5.36212i | −0.697998 | − | 0.226793i | ||||
\(560\) | −27.2036 | − | 0.255169i | −1.14956 | − | 0.0107829i | ||||
\(561\) | −3.31188 | − | 2.53636i | −0.139827 | − | 0.107085i | ||||
\(562\) | −31.0627 | − | 13.0562i | −1.31030 | − | 0.550741i | ||||
\(563\) | 11.2765 | − | 34.7054i | 0.475246 | − | 1.46266i | −0.370380 | − | 0.928880i | \(-0.620773\pi\) |
0.845626 | − | 0.533776i | \(-0.179227\pi\) | |||||||
\(564\) | 15.8731 | − | 14.7802i | 0.668378 | − | 0.622359i | ||||
\(565\) | −31.8967 | + | 10.7678i | −1.34190 | + | 0.453005i | ||||
\(566\) | −31.9918 | − | 13.4467i | −1.34472 | − | 0.565206i | ||||
\(567\) | 26.7546 | − | 5.79179i | 1.12359 | − | 0.243232i | ||||
\(568\) | −1.12193 | − | 0.287925i | −0.0470750 | − | 0.0120811i | ||||
\(569\) | −25.5787 | + | 35.2061i | −1.07232 | + | 1.47592i | −0.204608 | + | 0.978844i | \(0.565592\pi\) |
−0.867709 | + | 0.497073i | \(0.834408\pi\) | |||||||
\(570\) | −19.9020 | − | 1.94799i | −0.833602 | − | 0.0815922i | ||||
\(571\) | 11.6501 | + | 16.0349i | 0.487539 | + | 0.671040i | 0.979932 | − | 0.199333i | \(-0.0638775\pi\) |
−0.492392 | + | 0.870373i | \(0.663877\pi\) | |||||||
\(572\) | −18.4013 | + | 9.13621i | −0.769395 | + | 0.382004i | ||||
\(573\) | 9.20305 | − | 12.0170i | 0.384463 | − | 0.502016i | ||||
\(574\) | −37.8928 | − | 3.18050i | −1.58161 | − | 0.132751i | ||||
\(575\) | −21.5466 | + | 0.491868i | −0.898557 | + | 0.0205123i | ||||
\(576\) | −18.2985 | + | 15.5295i | −0.762437 | + | 0.647063i | ||||
\(577\) | −8.83017 | − | 27.1765i | −0.367605 | − | 1.13137i | −0.948334 | − | 0.317274i | \(-0.897232\pi\) |
0.580729 | − | 0.814097i | \(-0.302768\pi\) | |||||||
\(578\) | 18.0846 | − | 10.9533i | 0.752218 | − | 0.455599i | ||||
\(579\) | −2.31473 | − | 0.817246i | −0.0961967 | − | 0.0339636i | ||||
\(580\) | 9.94885 | − | 1.58611i | 0.413104 | − | 0.0658596i | ||||
\(581\) | −12.8090 | + | 17.6301i | −0.531409 | + | 0.731421i | ||||
\(582\) | 0.975772 | + | 1.70684i | 0.0404470 | + | 0.0707508i | ||||
\(583\) | −9.58274 | + | 13.1895i | −0.396877 | + | 0.546254i | ||||
\(584\) | −3.22536 | + | 5.08364i | −0.133466 | + | 0.210362i | ||||
\(585\) | −14.1699 | + | 38.4325i | −0.585854 | + | 1.58899i | ||||
\(586\) | −6.35805 | + | 1.49152i | −0.262649 | + | 0.0616143i | ||||
\(587\) | −8.49989 | + | 26.1600i | −0.350828 | + | 1.07974i | 0.607561 | + | 0.794273i | \(0.292148\pi\) |
−0.958389 | + | 0.285465i | \(0.907852\pi\) | |||||||
\(588\) | 7.74116 | − | 0.944745i | 0.319240 | − | 0.0389606i | ||||
\(589\) | 7.30065 | + | 22.4691i | 0.300818 | + | 0.925822i | ||||
\(590\) | 31.7149 | − | 19.7071i | 1.30568 | − | 0.811327i | ||||
\(591\) | 2.31094 | + | 7.77483i | 0.0950593 | + | 0.319814i | ||||
\(592\) | 24.0476 | + | 34.5887i | 0.988351 | + | 1.42159i | ||||
\(593\) | 41.8987i | 1.72057i | 0.509810 | + | 0.860287i | \(0.329716\pi\) | ||||
−0.509810 | + | 0.860287i | \(0.670284\pi\) | |||||||
\(594\) | −11.0013 | − | 5.63855i | −0.451389 | − | 0.231352i | ||||
\(595\) | −9.73634 | + | 0.111116i | −0.399151 | + | 0.00455533i | ||||
\(596\) | 6.98035 | + | 14.0591i | 0.285926 | + | 0.575885i | ||||
\(597\) | 10.4642 | − | 29.6381i | 0.428269 | − | 1.21301i | ||||
\(598\) | −8.50120 | − | 36.2389i | −0.347640 | − | 1.48192i | ||||
\(599\) | 12.8584 | 0.525378 | 0.262689 | − | 0.964881i | \(-0.415391\pi\) | ||||
0.262689 | + | 0.964881i | \(0.415391\pi\) | |||||||
\(600\) | 24.4500 | − | 1.48171i | 0.998169 | − | 0.0604906i | ||||
\(601\) | 0.0506283 | 0.00206517 | 0.00103259 | − | 0.999999i | \(-0.499671\pi\) | ||||
0.00103259 | + | 0.999999i | \(0.499671\pi\) | |||||||
\(602\) | −2.79173 | − | 11.9006i | −0.113782 | − | 0.485030i | ||||
\(603\) | −6.04529 | + | 1.63198i | −0.246183 | + | 0.0664595i | ||||
\(604\) | 19.5960 | + | 39.4683i | 0.797349 | + | 1.60594i | ||||
\(605\) | 5.44666 | − | 17.4378i | 0.221438 | − | 0.708946i | ||||
\(606\) | 24.0739 | + | 2.63402i | 0.977935 | + | 0.107000i | ||||
\(607\) | − | 7.02033i | − | 0.284946i | −0.989799 | − | 0.142473i | \(-0.954495\pi\) | ||
0.989799 | − | 0.142473i | \(-0.0455055\pi\) | |||||||
\(608\) | −17.8840 | + | 10.3298i | −0.725290 | + | 0.418931i | ||||
\(609\) | −11.3759 | + | 3.38129i | −0.460974 | + | 0.137017i | ||||
\(610\) | 0.736222 | − | 1.80911i | 0.0298088 | − | 0.0732488i | ||||
\(611\) | −11.8141 | − | 36.3600i | −0.477946 | − | 1.47097i | ||||
\(612\) | −6.43231 | + | 5.69318i | −0.260011 | + | 0.230133i | ||||
\(613\) | 8.12803 | − | 25.0155i | 0.328288 | − | 1.01037i | −0.641647 | − | 0.767000i | \(-0.721748\pi\) |
0.969935 | − | 0.243366i | \(-0.0782516\pi\) | |||||||
\(614\) | 19.0714 | − | 4.47392i | 0.769659 | − | 0.180553i | ||||
\(615\) | 34.2350 | + | 0.473518i | 1.38049 | + | 0.0190941i | ||||
\(616\) | −12.2204 | − | 7.75332i | −0.492373 | − | 0.312390i | ||||
\(617\) | −5.27723 | + | 7.26349i | −0.212453 | + | 0.292417i | −0.901922 | − | 0.431898i | \(-0.857844\pi\) |
0.689469 | + | 0.724315i | \(0.257844\pi\) | |||||||
\(618\) | −15.9020 | + | 9.09089i | −0.639671 | + | 0.365689i | ||||
\(619\) | −0.953984 | + | 1.31305i | −0.0383438 | + | 0.0527758i | −0.827758 | − | 0.561085i | \(-0.810384\pi\) |
0.789415 | + | 0.613860i | \(0.210384\pi\) | |||||||
\(620\) | −13.1644 | − | 25.7717i | −0.528694 | − | 1.03502i | ||||
\(621\) | 14.4982 | − | 17.0722i | 0.581794 | − | 0.685085i | ||||
\(622\) | 1.36567 | − | 0.827152i | 0.0547585 | − | 0.0331658i | ||||
\(623\) | −0.329232 | − | 1.01327i | −0.0131904 | − | 0.0405958i | ||||
\(624\) | 11.2076 | + | 40.7933i | 0.448662 | + | 1.63304i | ||||
\(625\) | −20.8749 | − | 13.7564i | −0.834996 | − | 0.550256i | ||||
\(626\) | 8.94300 | + | 0.750622i | 0.357434 | + | 0.0300009i | ||||
\(627\) | −8.44581 | − | 6.46813i | −0.337293 | − | 0.258312i | ||||
\(628\) | −10.1714 | + | 5.05011i | −0.405885 | + | 0.201521i | ||||
\(629\) | 8.86249 | + | 12.1982i | 0.353371 | + | 0.486373i | ||||
\(630\) | −28.3284 | + | 5.48773i | −1.12863 | + | 0.218637i | ||||
\(631\) | 10.2745 | − | 14.1416i | 0.409020 | − | 0.562968i | −0.553959 | − | 0.832544i | \(-0.686884\pi\) |
0.962979 | + | 0.269576i | \(0.0868835\pi\) | |||||||
\(632\) | −9.74207 | + | 37.9608i | −0.387519 | + | 1.51000i | ||||
\(633\) | 0.863289 | + | 0.0217963i | 0.0343126 | + | 0.000866324i | ||||
\(634\) | −21.4172 | − | 9.00200i | −0.850586 | − | 0.357515i | ||||
\(635\) | 0.131601 | − | 0.185549i | 0.00522241 | − | 0.00736330i | ||||
\(636\) | 22.8775 | + | 24.5691i | 0.907150 | + | 0.974228i | ||||
\(637\) | 4.24794 | − | 13.0738i | 0.168309 | − | 0.518003i | ||||
\(638\) | 4.94075 | + | 2.07668i | 0.195606 | + | 0.0822165i | ||||
\(639\) | −1.22698 | − | 0.0619969i | −0.0485385 | − | 0.00245256i | ||||
\(640\) | 19.6412 | − | 15.9444i | 0.776386 | − | 0.630257i | ||||
\(641\) | −16.7565 | − | 5.44451i | −0.661841 | − | 0.215045i | −0.0412132 | − | 0.999150i | \(-0.513122\pi\) |
−0.620628 | + | 0.784105i | \(0.713122\pi\) | |||||||
\(642\) | 0.336931 | − | 3.07942i | 0.0132976 | − | 0.121535i | ||||
\(643\) | − | 0.955734i | − | 0.0376905i | −0.999822 | − | 0.0188452i | \(-0.994001\pi\) | ||
0.999822 | − | 0.0188452i | \(-0.00599898\pi\) | |||||||
\(644\) | 18.7330 | − | 18.3475i | 0.738182 | − | 0.722991i | ||||
\(645\) | 3.25595 | + | 10.5134i | 0.128203 | + | 0.413964i | ||||
\(646\) | −6.32267 | + | 3.82947i | −0.248762 | + | 0.150669i | ||||
\(647\) | −16.6821 | + | 12.1203i | −0.655843 | + | 0.476498i | −0.865256 | − | 0.501329i | \(-0.832844\pi\) |
0.209414 | + | 0.977827i | \(0.432844\pi\) | |||||||
\(648\) | −15.7346 | + | 20.0105i | −0.618115 | + | 0.786087i | ||||
\(649\) | 19.8637 | 0.779717 | ||||||||
\(650\) | 15.8176 | − | 40.1756i | 0.620416 | − | 1.57582i | ||||
\(651\) | 19.3354 | + | 28.0768i | 0.757816 | + | 1.10042i | ||||
\(652\) | −9.33192 | + | 1.37874i | −0.365466 | + | 0.0539958i | ||||
\(653\) | −22.0395 | − | 30.3348i | −0.862473 | − | 1.18709i | −0.980974 | − | 0.194138i | \(-0.937809\pi\) |
0.118501 | − | 0.992954i | \(-0.462191\pi\) | |||||||
\(654\) | −27.6349 | − | 12.4452i | −1.08061 | − | 0.486646i | ||||
\(655\) | 7.29088 | − | 0.0832076i | 0.284878 | − | 0.00325119i | ||||
\(656\) | 29.0337 | − | 20.1855i | 1.13357 | − | 0.788110i | ||||
\(657\) | −2.27725 | + | 5.96584i | −0.0888439 | + | 0.232750i | ||||
\(658\) | 17.5969 | − | 20.3878i | 0.686000 | − | 0.794800i | ||||
\(659\) | −8.81637 | + | 27.1340i | −0.343437 | + | 1.05699i | 0.618978 | + | 0.785408i | \(0.287547\pi\) |
−0.962415 | + | 0.271583i | \(0.912453\pi\) | |||||||
\(660\) | 11.4638 | + | 6.19539i | 0.446229 | + | 0.241155i | ||||
\(661\) | 7.02217 | + | 21.6120i | 0.273131 | + | 0.840611i | 0.989708 | + | 0.143103i | \(0.0457079\pi\) |
−0.716577 | + | 0.697508i | \(0.754292\pi\) | |||||||
\(662\) | −28.0307 | − | 11.7818i | −1.08944 | − | 0.457911i | ||||
\(663\) | 4.31402 | + | 14.5139i | 0.167543 | + | 0.563674i | ||||
\(664\) | −1.27475 | − | 20.2247i | −0.0494698 | − | 0.784870i | ||||
\(665\) | −24.8292 | + | 0.283365i | −0.962836 | + | 0.0109884i | ||||
\(666\) | 32.3090 | + | 30.8648i | 1.25195 | + | 1.19599i | ||||
\(667\) | −5.70755 | + | 7.85576i | −0.220997 | + | 0.304176i | ||||
\(668\) | 27.2147 | + | 4.60089i | 1.05297 | + | 0.178014i | ||||
\(669\) | −45.2106 | − | 1.14148i | −1.74794 | − | 0.0441320i | ||||
\(670\) | 6.40835 | − | 1.58069i | 0.247576 | − | 0.0610673i | ||||
\(671\) | 0.840613 | − | 0.610741i | 0.0324515 | − | 0.0235774i | ||||
\(672\) | −20.4895 | + | 21.6403i | −0.790400 | + | 0.834791i | ||||
\(673\) | 6.16364 | + | 18.9697i | 0.237591 | + | 0.731229i | 0.996767 | + | 0.0803443i | \(0.0256020\pi\) |
−0.759176 | + | 0.650885i | \(0.774398\pi\) | |||||||
\(674\) | −40.3676 | − | 3.38821i | −1.55490 | − | 0.130509i | ||||
\(675\) | 25.0991 | − | 6.71067i | 0.966066 | − | 0.258294i | ||||
\(676\) | 47.8913 | + | 8.09646i | 1.84197 | + | 0.311402i | ||||
\(677\) | 26.2349 | − | 8.52425i | 1.00829 | − | 0.327613i | 0.242117 | − | 0.970247i | \(-0.422158\pi\) |
0.766174 | + | 0.642634i | \(0.222158\pi\) | |||||||
\(678\) | −15.1432 | + | 33.6259i | −0.581571 | + | 1.29139i | ||||
\(679\) | 1.43497 | + | 1.97507i | 0.0550690 | + | 0.0757960i | ||||
\(680\) | 6.90969 | − | 5.85164i | 0.264975 | − | 0.224400i | ||||
\(681\) | −0.569542 | + | 22.5580i | −0.0218249 | + | 0.864423i | ||||
\(682\) | 1.28765 | − | 15.3412i | 0.0493067 | − | 0.587446i | ||||
\(683\) | −10.0330 | − | 7.28938i | −0.383901 | − | 0.278920i | 0.379051 | − | 0.925376i | \(-0.376251\pi\) |
−0.762952 | + | 0.646456i | \(0.776251\pi\) | |||||||
\(684\) | −16.4034 | + | 14.5185i | −0.627200 | + | 0.555130i | ||||
\(685\) | −3.20079 | + | 1.08054i | −0.122296 | + | 0.0412851i | ||||
\(686\) | −19.8866 | + | 4.66516i | −0.759275 | + | 0.178117i | ||||
\(687\) | −17.6604 | + | 5.24927i | −0.673787 | + | 0.200272i | ||||
\(688\) | 9.05517 | + | 6.87107i | 0.345225 | + | 0.261957i | ||||
\(689\) | 56.2796 | − | 18.2863i | 2.14408 | − | 0.696654i | ||||
\(690\) | −15.6718 | + | 17.6577i | −0.596617 | + | 0.672216i | ||||
\(691\) | −19.0094 | − | 6.17654i | −0.723153 | − | 0.234967i | −0.0757631 | − | 0.997126i | \(-0.524139\pi\) |
−0.647390 | + | 0.762159i | \(0.724139\pi\) | |||||||
\(692\) | −19.6906 | + | 19.2854i | −0.748524 | + | 0.733121i | ||||
\(693\) | −14.3411 | − | 5.47419i | −0.544772 | − | 0.207947i | ||||
\(694\) | −2.68452 | − | 2.31704i | −0.101903 | − | 0.0879537i | ||||
\(695\) | −11.2804 | + | 15.9047i | −0.427891 | + | 0.603301i | ||||
\(696\) | 6.14567 | − | 9.16653i | 0.232951 | − | 0.347456i | ||||
\(697\) | 10.2391 | − | 7.43914i | 0.387834 | − | 0.281778i | ||||
\(698\) | −6.22596 | − | 26.5400i | −0.235656 | − | 1.00455i | ||||
\(699\) | 0.619275 | − | 0.426471i | 0.0234231 | − | 0.0161306i | ||||
\(700\) | 29.9800 | − | 5.13108i | 1.13314 | − | 0.193937i | ||||
\(701\) | − | 40.5082i | − | 1.52997i | −0.644046 | − | 0.764987i | \(-0.722745\pi\) | ||
0.644046 | − | 0.764987i | \(-0.277255\pi\) | |||||||
\(702\) | 20.2756 | + | 40.0289i | 0.765253 | + | 1.51079i | ||||
\(703\) | 22.6008 | + | 31.1073i | 0.852404 | + | 1.17323i | ||||
\(704\) | 13.3517 | − | 1.68980i | 0.503210 | − | 0.0636869i | ||||
\(705\) | −14.5231 | + | 19.4188i | −0.546973 | + | 0.731356i | ||||
\(706\) | −29.5395 | + | 34.2245i | −1.11173 | + | 1.28806i | ||||
\(707\) | 30.0715 | 1.13096 | ||||||||
\(708\) | 7.83402 | − | 40.1456i | 0.294420 | − | 1.50877i | ||||
\(709\) | 10.9326 | − | 33.6469i | 0.410581 | − | 1.26364i | −0.505564 | − | 0.862789i | \(-0.668716\pi\) |
0.916145 | − | 0.400848i | \(-0.131284\pi\) | |||||||
\(710\) | 1.29161 | + | 0.0935801i | 0.0484734 | + | 0.00351200i | ||||
\(711\) | −2.09769 | + | 41.5154i | −0.0786696 | + | 1.55695i | ||||
\(712\) | 0.836577 | + | 0.530774i | 0.0313521 | + | 0.0198916i | ||||
\(713\) | 26.5279 | + | 8.61942i | 0.993476 | + | 0.322800i | ||||
\(714\) | −7.17087 | + | 7.89614i | −0.268363 | + | 0.295506i | ||||
\(715\) | 18.4274 | − | 13.7123i | 0.689146 | − | 0.512811i | ||||
\(716\) | −6.19296 | + | 11.8482i | −0.231442 | + | 0.442790i | ||||
\(717\) | 1.19975 | − | 47.5187i | 0.0448055 | − | 1.77462i | ||||
\(718\) | 10.3592 | + | 0.869493i | 0.386603 | + | 0.0324492i | ||||
\(719\) | −29.3222 | − | 21.3038i | −1.09353 | − | 0.794497i | −0.113540 | − | 0.993533i | \(-0.536219\pi\) |
−0.979992 | + | 0.199036i | \(0.936219\pi\) | |||||||
\(720\) | 17.0425 | − | 20.7257i | 0.635135 | − | 0.772401i | ||||
\(721\) | −18.4009 | + | 13.3691i | −0.685286 | + | 0.497889i | ||||
\(722\) | 6.85934 | − | 4.15452i | 0.255278 | − | 0.154615i | ||||
\(723\) | 10.4224 | − | 13.6091i | 0.387613 | − | 0.506129i | ||||
\(724\) | −33.7464 | − | 5.70514i | −1.25418 | − | 0.212030i | ||||
\(725\) | −10.6301 | + | 3.72422i | −0.394793 | + | 0.138314i | ||||
\(726\) | −9.93219 | − | 17.3736i | −0.368618 | − | 0.644794i | ||||
\(727\) | 30.3883 | − | 9.87376i | 1.12704 | − | 0.366197i | 0.314589 | − | 0.949228i | \(-0.398133\pi\) |
0.812450 | + | 0.583030i | \(0.198133\pi\) | |||||||
\(728\) | 19.3435 | + | 48.8398i | 0.716918 | + | 1.81012i | ||||
\(729\) | −12.1223 | + | 24.1257i | −0.448972 | + | 0.893546i | ||||
\(730\) | 2.53719 | − | 6.23463i | 0.0939057 | − | 0.230754i | ||||
\(731\) | 3.29140 | + | 2.39134i | 0.121737 | + | 0.0884469i | ||||
\(732\) | −0.902815 | − | 1.93980i | −0.0333690 | − | 0.0716970i | ||||
\(733\) | 13.6374 | + | 9.90812i | 0.503707 | + | 0.365965i | 0.810431 | − | 0.585834i | \(-0.199233\pi\) |
−0.306724 | + | 0.951798i | \(0.599233\pi\) | |||||||
\(734\) | 41.5594 | + | 17.4681i | 1.53399 | + | 0.644760i | ||||
\(735\) | −8.32883 | + | 2.57941i | −0.307213 | + | 0.0951429i | ||||
\(736\) | −2.54417 | + | 24.2505i | −0.0937792 | + | 0.893885i | ||||
\(737\) | 3.33944 | + | 1.08505i | 0.123010 | + | 0.0399683i | ||||
\(738\) | 25.9078 | − | 27.1200i | 0.953678 | − | 0.998302i | ||||
\(739\) | −43.6990 | + | 14.1987i | −1.60750 | + | 0.522307i | −0.968946 | − | 0.247274i | \(-0.920465\pi\) |
−0.638550 | + | 0.769581i | \(0.720465\pi\) | |||||||
\(740\) | −33.3380 | − | 33.2703i | −1.22553 | − | 1.22304i | ||||
\(741\) | 11.0014 | + | 37.0128i | 0.404148 | + | 1.35970i | ||||
\(742\) | 31.5571 | + | 27.2373i | 1.15850 | + | 0.999913i | ||||
\(743\) | −8.90590 | −0.326726 | −0.163363 | − | 0.986566i | \(-0.552234\pi\) | ||||
−0.163363 | + | 0.986566i | \(0.552234\pi\) | |||||||
\(744\) | −30.4977 | − | 8.65283i | −1.11810 | − | 0.317228i | ||||
\(745\) | −10.4766 | − | 14.0791i | −0.383834 | − | 0.515819i | ||||
\(746\) | 7.54430 | − | 4.56938i | 0.276216 | − | 0.167297i | ||||
\(747\) | −5.60199 | − | 20.7512i | −0.204966 | − | 0.759247i | ||||
\(748\) | 4.76514 | − | 0.704025i | 0.174231 | − | 0.0257417i | ||||
\(749\) | − | 3.84660i | − | 0.140552i | ||||||
\(750\) | −26.6050 | + | 6.49419i | −0.971477 | + | 0.237134i | ||||
\(751\) | 23.1460i | 0.844609i | 0.906454 | + | 0.422305i | \(0.138779\pi\) | ||||
−0.906454 | + | 0.422305i | \(0.861221\pi\) | |||||||
\(752\) | −0.520676 | + | 25.0388i | −0.0189871 | + | 0.913072i | ||||
\(753\) | 4.93873 | + | 1.74369i | 0.179977 | + | 0.0635435i | ||||
\(754\) | −10.0780 | − | 16.6393i | −0.367017 | − | 0.605966i | ||||
\(755\) | −29.4111 | − | 39.5244i | −1.07038 | − | 1.43844i | ||||
\(756\) | −16.7196 | + | 26.8252i | −0.608087 | + | 0.975622i | ||||
\(757\) | 9.48600 | 0.344775 | 0.172387 | − | 0.985029i | \(-0.444852\pi\) | ||||
0.172387 | + | 0.985029i | \(0.444852\pi\) | |||||||
\(758\) | 18.9359 | − | 21.9391i | 0.687782 | − | 0.796865i | ||||
\(759\) | −12.0391 | + | 3.57844i | −0.436993 | + | 0.129889i | ||||
\(760\) | 17.6208 | − | 14.9226i | 0.639174 | − | 0.541300i | ||||
\(761\) | 10.5358 | − | 3.42328i | 0.381922 | − | 0.124094i | −0.111763 | − | 0.993735i | \(-0.535650\pi\) |
0.493685 | + | 0.869641i | \(0.335650\pi\) | |||||||
\(762\) | −0.0507710 | − | 0.243965i | −0.00183924 | − | 0.00883793i | ||||
\(763\) | −35.7921 | − | 11.6296i | −1.29576 | − | 0.421019i | ||||
\(764\) | 2.55452 | + | 17.2900i | 0.0924192 | + | 0.625532i | ||||
\(765\) | 5.94419 | − | 7.54323i | 0.214913 | − | 0.272726i | ||||
\(766\) | 16.2044 | − | 38.5529i | 0.585489 | − | 1.39297i | ||||
\(767\) | −58.3298 | − | 42.3791i | −2.10617 | − | 1.53022i | ||||
\(768\) | 1.85056 | − | 27.6510i | 0.0667764 | − | 0.997768i | ||||
\(769\) | 12.2565 | + | 8.90484i | 0.441979 | + | 0.321117i | 0.786421 | − | 0.617691i | \(-0.211932\pi\) |
−0.344442 | + | 0.938808i | \(0.611932\pi\) | |||||||
\(770\) | 14.9872 | + | 6.09906i | 0.540101 | + | 0.219795i | ||||
\(771\) | 10.1130 | − | 28.6434i | 0.364210 | − | 1.03157i | ||||
\(772\) | 2.53881 | − | 1.26052i | 0.0913738 | − | 0.0453670i | ||||
\(773\) | 45.3461 | − | 14.7338i | 1.63099 | − | 0.529940i | 0.656489 | − | 0.754336i | \(-0.272041\pi\) |
0.974498 | + | 0.224396i | \(0.0720409\pi\) | |||||||
\(774\) | 10.8647 | + | 5.22658i | 0.390523 | + | 0.187866i | ||||
\(775\) | 19.6103 | + | 25.7350i | 0.704423 | + | 0.924429i | ||||
\(776\) | −2.19896 | − | 0.564330i | −0.0789382 | − | 0.0202583i | ||||
\(777\) | 44.0492 | + | 33.7346i | 1.58026 | + | 1.21022i | ||||
\(778\) | 5.07746 | + | 8.38317i | 0.182036 | + | 0.300551i | ||||
\(779\) | 26.1113 | − | 18.9710i | 0.935536 | − | 0.679707i | ||||
\(780\) | −20.4458 | − | 42.6509i | −0.732077 | − | 1.52715i | ||||
\(781\) | 0.557344 | + | 0.404934i | 0.0199433 | + | 0.0144897i | ||||
\(782\) | −0.729945 | + | 8.69665i | −0.0261028 | + | 0.310991i | ||||
\(783\) | 4.44907 | − | 10.8270i | 0.158997 | − | 0.386926i | ||||
\(784\) | −5.44335 | + | 7.17362i | −0.194405 | + | 0.256201i | ||||
\(785\) | 10.1859 | − | 7.57958i | 0.363550 | − | 0.270527i | ||||
\(786\) | 5.36978 | − | 5.91288i | 0.191534 | − | 0.210906i | ||||
\(787\) | −26.1222 | − | 8.48763i | −0.931157 | − | 0.302551i | −0.196121 | − | 0.980580i | \(-0.562835\pi\) |
−0.735036 | + | 0.678028i | \(0.762835\pi\) | |||||||
\(788\) | −8.30032 | − | 4.33850i | −0.295687 | − | 0.154553i | ||||
\(789\) | −27.1659 | + | 35.4721i | −0.967131 | + | 1.26284i | ||||
\(790\) | 3.16632 | − | 43.7023i | 0.112653 | − | 1.55486i | ||||
\(791\) | −14.1507 | + | 43.5515i | −0.503142 | + | 1.54851i | ||||
\(792\) | 13.5199 | − | 4.57990i | 0.480408 | − | 0.162740i | ||||
\(793\) | −3.77148 | −0.133929 | ||||||||
\(794\) | 31.1954 | + | 26.9251i | 1.10708 | + | 0.955535i | ||||
\(795\) | −30.0573 | − | 22.4796i | −1.06602 | − | 0.797268i | ||||
\(796\) | 16.1399 | + | 32.5073i | 0.572063 | + | 1.15219i | ||||
\(797\) | 9.47591 | + | 13.0425i | 0.335654 | + | 0.461988i | 0.943166 | − | 0.332323i | \(-0.107832\pi\) |
−0.607512 | + | 0.794311i | \(0.707832\pi\) | |||||||
\(798\) | −18.2869 | + | 20.1364i | −0.647348 | + | 0.712821i | ||||
\(799\) | 8.96368i | 0.317112i | ||||||||
\(800\) | −18.4372 | + | 21.4493i | −0.651852 | + | 0.758346i | ||||
\(801\) | 0.981755 | + | 0.374750i | 0.0346886 | + | 0.0132412i | ||||
\(802\) | 17.3507 | − | 4.07026i | 0.612673 | − | 0.143726i | ||||
\(803\) | 2.89695 | − | 2.10476i | 0.102231 | − | 0.0742752i | ||||
\(804\) | 3.50999 | − | 6.32128i | 0.123788 | − | 0.222934i | ||||
\(805\) | −16.9599 | + | 23.9124i | −0.597757 | + | 0.842802i | ||||
\(806\) | −36.5116 | + | 42.3024i | −1.28607 | + | 1.49004i | ||||
\(807\) | −14.3393 | + | 9.87493i | −0.504767 | + | 0.347614i | ||||
\(808\) | −21.5446 | + | 17.8274i | −0.757937 | + | 0.627166i | ||||
\(809\) | −18.7367 | − | 6.08793i | −0.658748 | − | 0.214040i | −0.0394807 | − | 0.999220i | \(-0.512570\pi\) |
−0.619267 | + | 0.785180i | \(0.712570\pi\) | |||||||
\(810\) | 13.3303 | − | 25.1456i | 0.468379 | − | 0.883528i | ||||
\(811\) | 19.0612 | − | 6.19337i | 0.669331 | − | 0.217479i | 0.0454124 | − | 0.998968i | \(-0.485540\pi\) |
0.623918 | + | 0.781490i | \(0.285540\pi\) | |||||||
\(812\) | 6.34796 | − | 12.1448i | 0.222770 | − | 0.426198i | ||||
\(813\) | −4.10391 | − | 13.8070i | −0.143930 | − | 0.484234i | ||||
\(814\) | −5.72246 | − | 24.3937i | −0.200572 | − | 0.854998i | ||||
\(815\) | 9.99263 | − | 3.37335i | 0.350026 | − | 0.118163i | ||||
\(816\) | 0.456444 | − | 9.90829i | 0.0159787 | − | 0.346860i | ||||
\(817\) | 8.39359 | + | 6.09830i | 0.293655 | + | 0.213353i | ||||
\(818\) | 12.3663 | + | 1.03796i | 0.432379 | + | 0.0362913i | ||||
\(819\) | 30.4335 | + | 46.6716i | 1.06343 | + | 1.63084i | ||||
\(820\) | −27.9270 | + | 27.9838i | −0.975252 | + | 0.977236i | ||||
\(821\) | 1.96028 | + | 2.69810i | 0.0684144 | + | 0.0941643i | 0.841853 | − | 0.539707i | \(-0.181465\pi\) |
−0.773439 | + | 0.633871i | \(0.781465\pi\) | |||||||
\(822\) | −1.51960 | + | 3.37431i | −0.0530020 | + | 0.117692i | ||||
\(823\) | 25.0546 | − | 8.14074i | 0.873350 | − | 0.283768i | 0.162156 | − | 0.986765i | \(-0.448155\pi\) |
0.711193 | + | 0.702997i | \(0.248155\pi\) | |||||||
\(824\) | 5.25765 | − | 20.4869i | 0.183159 | − | 0.713695i | ||||
\(825\) | −13.8449 | − | 4.53553i | −0.482018 | − | 0.157907i | ||||
\(826\) | 4.24808 | − | 50.6121i | 0.147809 | − | 1.76102i | ||||
\(827\) | 1.72813 | + | 5.31864i | 0.0600931 | + | 0.184947i | 0.976597 | − | 0.215079i | \(-0.0690009\pi\) |
−0.916504 | + | 0.400026i | \(0.869001\pi\) | |||||||
\(828\) | 2.48412 | + | 25.7431i | 0.0863291 | + | 0.894636i | ||||
\(829\) | −14.8427 | + | 10.7838i | −0.515508 | + | 0.374538i | −0.814909 | − | 0.579589i | \(-0.803213\pi\) |
0.299401 | + | 0.954127i | \(0.403213\pi\) | |||||||
\(830\) | 5.42591 | + | 21.9974i | 0.188336 | + | 0.763543i | ||||
\(831\) | 0.279695 | − | 11.0779i | 0.00970253 | − | 0.384290i | ||||
\(832\) | −42.8125 | − | 23.5236i | −1.48426 | − | 0.815535i | ||||
\(833\) | −1.89445 | + | 2.60749i | −0.0656388 | + | 0.0903441i | ||||
\(834\) | 4.35194 | + | 20.9120i | 0.150695 | + | 0.724123i | ||||
\(835\) | −30.8567 | + | 0.352153i | −1.06784 | + | 0.0121868i | ||||
\(836\) | 12.1519 | − | 1.79538i | 0.420281 | − | 0.0620944i | ||||
\(837\) | −33.5281 | − | 2.54387i | −1.15890 | − | 0.0879290i | ||||
\(838\) | 5.65185 | − | 13.4466i | 0.195240 | − | 0.464506i | ||||
\(839\) | 4.63186 | + | 14.2554i | 0.159910 | + | 0.492151i | 0.998625 | − | 0.0524184i | \(-0.0166929\pi\) |
−0.838716 | + | 0.544570i | \(0.816693\pi\) | |||||||
\(840\) | 18.2374 | − | 27.8846i | 0.629249 | − | 0.962110i | ||||
\(841\) | 7.39330 | − | 22.7542i | 0.254941 | − | 0.784629i | ||||
\(842\) | 29.8062 | + | 25.7260i | 1.02719 | + | 0.886578i | ||||
\(843\) | 33.9879 | − | 23.4062i | 1.17061 | − | 0.806152i | ||||
\(844\) | −0.712389 | + | 0.697729i | −0.0245214 | + | 0.0240168i | ||||
\(845\) | −54.3004 | + | 0.619706i | −1.86799 | + | 0.0213185i | ||||
\(846\) | 4.75397 | + | 26.1346i | 0.163445 | + | 0.898525i | ||||
\(847\) | −14.6063 | − | 20.1038i | −0.501877 | − | 0.690775i | ||||
\(848\) | −38.7562 | − | 0.805925i | −1.33089 | − | 0.0276756i | ||||
\(849\) | 35.0046 | − | 24.1063i | 1.20135 | − | 0.827326i | ||||
\(850\) | −6.43788 | + | 7.81253i | −0.220818 | + | 0.267967i | ||||
\(851\) | 45.3964 | 1.55617 | ||||||||
\(852\) | 1.03821 | − | 0.966724i | 0.0355684 | − | 0.0331194i | ||||
\(853\) | 37.3744 | − | 27.1541i | 1.27968 | − | 0.929740i | 0.280134 | − | 0.959961i | \(-0.409621\pi\) |
0.999543 | + | 0.0302214i | \(0.00962125\pi\) | |||||||
\(854\) | −1.37638 | − | 2.27247i | −0.0470987 | − | 0.0777624i | ||||
\(855\) | 15.1586 | − | 19.2364i | 0.518415 | − | 0.657872i | ||||
\(856\) | 2.28040 | + | 2.75588i | 0.0779423 | + | 0.0941942i | ||||
\(857\) | − | 3.67387i | − | 0.125497i | −0.998029 | − | 0.0627485i | \(-0.980013\pi\) | ||
0.998029 | − | 0.0627485i | \(-0.0199866\pi\) | |||||||
\(858\) | 2.73671 | − | 25.0125i | 0.0934299 | − | 0.853913i | ||||
\(859\) | 11.5076 | + | 3.73905i | 0.392635 | + | 0.127575i | 0.498679 | − | 0.866787i | \(-0.333819\pi\) |
−0.106045 | + | 0.994361i | \(0.533819\pi\) | |||||||
\(860\) | −11.3293 | − | 5.75809i | −0.386327 | − | 0.196349i | ||||
\(861\) | 28.3167 | − | 36.9748i | 0.965031 | − | 1.26010i | ||||
\(862\) | 10.9032 | − | 25.9403i | 0.371363 | − | 0.883532i | ||||
\(863\) | 1.67985 | − | 5.17004i | 0.0571827 | − | 0.175990i | −0.918386 | − | 0.395687i | \(-0.870507\pi\) |
0.975568 | + | 0.219696i | \(0.0705066\pi\) | |||||||
\(864\) | −3.92415 | − | 29.1308i | −0.133502 | − | 0.991049i | ||||
\(865\) | 17.8269 | − | 25.1348i | 0.606131 | − | 0.854610i | ||||
\(866\) | −3.79752 | + | 9.03491i | −0.129045 | + | 0.307019i | ||||
\(867\) | −0.653582 | + | 25.8865i | −0.0221968 | + | 0.879153i | ||||
\(868\) | −38.8136 | − | 6.56180i | −1.31742 | − | 0.222722i | ||||
\(869\) | 13.7011 | − | 18.8580i | 0.464779 | − | 0.639713i | ||||
\(870\) | −4.93785 | + | 11.3075i | −0.167409 | + | 0.383362i | ||||
\(871\) | −7.49134 | − | 10.3109i | −0.253834 | − | 0.349373i | ||||
\(872\) | 32.5375 | − | 12.8868i | 1.10186 | − | 0.436403i | ||||
\(873\) | −2.40487 | − | 0.121513i | −0.0813924 | − | 0.00411260i | ||||
\(874\) | −1.86147 | + | 22.1778i | −0.0629653 | + | 0.750176i | ||||
\(875\) | −31.9630 | + | 11.6093i | −1.08055 | + | 0.392466i | ||||
\(876\) | −3.11131 | − | 6.68500i | −0.105122 | − | 0.225865i | ||||
\(877\) | 6.08736 | + | 18.7350i | 0.205555 | + | 0.632635i | 0.999690 | + | 0.0248928i | \(0.00792443\pi\) |
−0.794135 | + | 0.607742i | \(0.792076\pi\) | |||||||
\(878\) | −13.1058 | − | 21.6384i | −0.442300 | − | 0.730262i | ||||
\(879\) | 2.66285 | − | 7.54211i | 0.0898157 | − | 0.254389i | ||||
\(880\) | −14.3532 | + | 4.51526i | −0.483848 | + | 0.152209i | ||||
\(881\) | 5.98841 | − | 8.24234i | 0.201755 | − | 0.277692i | −0.696136 | − | 0.717910i | \(-0.745099\pi\) |
0.897891 | + | 0.440218i | \(0.145099\pi\) | |||||||
\(882\) | −4.14057 | + | 8.60715i | −0.139420 | + | 0.289818i | ||||
\(883\) | 0.272434 | − | 0.374974i | 0.00916814 | − | 0.0126189i | −0.804408 | − | 0.594077i | \(-0.797518\pi\) |
0.813576 | + | 0.581458i | \(0.197518\pi\) | |||||||
\(884\) | −15.4949 | − | 8.09904i | −0.521150 | − | 0.272400i | ||||
\(885\) | −0.632461 | + | 45.7264i | −0.0212600 | + | 1.53708i | ||||
\(886\) | 8.10455 | + | 34.5480i | 0.272278 | + | 1.16066i | ||||
\(887\) | 9.74667 | − | 29.9972i | 0.327261 | − | 1.00721i | −0.643149 | − | 0.765741i | \(-0.722372\pi\) |
0.970410 | − | 0.241464i | \(-0.0776277\pi\) | |||||||
\(888\) | −51.5579 | + | 1.94483i | −1.73017 | + | 0.0652643i | ||||
\(889\) | −0.0956184 | − | 0.294283i | −0.00320694 | − | 0.00986994i | ||||
\(890\) | −1.02599 | − | 0.417527i | −0.0343912 | − | 0.0139956i | ||||
\(891\) | 13.0835 | − | 7.61933i | 0.438315 | − | 0.255257i | ||||
\(892\) | 37.3080 | − | 36.5402i | 1.24916 | − | 1.22346i | ||||
\(893\) | 22.8588i | 0.764941i | ||||||||
\(894\) | −19.1103 | − | 2.09094i | −0.639145 | − | 0.0699313i | ||||
\(895\) | 4.45639 | − | 14.2674i | 0.148961 | − | 0.476905i | ||||
\(896\) | −1.45017 | − | 34.3811i | −0.0484467 | − | 1.14859i | ||||
\(897\) | 42.9876 | + | 15.1774i | 1.43531 | + | 0.506758i | ||||
\(898\) | −26.9230 | + | 6.31580i | −0.898431 | + | 0.210761i | ||||
\(899\) | 14.5774 | 0.486185 | ||||||||
\(900\) | −14.6269 | + | 26.1926i | −0.487563 | + | 0.873088i | ||||
\(901\) | −13.8744 | −0.462223 | ||||||||
\(902\) | −20.4759 | + | 4.80341i | −0.681774 | + | 0.159936i | ||||
\(903\) | 14.1168 | + | 4.98413i | 0.469777 | + | 0.165861i | ||||
\(904\) | −15.6805 | − | 39.5913i | −0.521527 | − | 1.31679i | ||||
\(905\) | 38.2625 | − | 0.436673i | 1.27189 | − | 0.0145155i | ||||
\(906\) | −53.6486 | − | 5.86990i | −1.78235 | − | 0.195014i | ||||
\(907\) | 18.4041i | 0.611097i | 0.952177 | + | 0.305548i | \(0.0988398\pi\) | ||||
−0.952177 | + | 0.305548i | \(0.901160\pi\) | |||||||
\(908\) | −18.2318 | − | 18.6149i | −0.605045 | − | 0.617757i | ||||
\(909\) | −18.6226 | + | 23.0854i | −0.617673 | + | 0.765693i | ||||
\(910\) | −30.9976 | − | 49.8851i | −1.02756 | − | 1.65367i | ||||
\(911\) | 7.25851 | + | 22.3394i | 0.240485 | + | 0.740137i | 0.996346 | + | 0.0854052i | \(0.0272185\pi\) |
−0.755861 | + | 0.654732i | \(0.772782\pi\) | |||||||
\(912\) | 1.16401 | − | 25.2677i | 0.0385441 | − | 0.836698i | ||||
\(913\) | −3.72457 | + | 11.4630i | −0.123265 | + | 0.379371i | ||||
\(914\) | 4.99196 | + | 21.2797i | 0.165119 | + | 0.703869i | ||||
\(915\) | 1.37917 | + | 1.95455i | 0.0455939 | + | 0.0646154i | ||||
\(916\) | 9.85484 | − | 18.8541i | 0.325613 | − | 0.622956i | ||||
\(917\) | 5.82965 | − | 8.02383i | 0.192512 | − | 0.264970i | ||||
\(918\) | −1.62097 | − | 10.3948i | −0.0534999 | − | 0.343081i | ||||
\(919\) | 19.5707 | − | 26.9367i | 0.645576 | − | 0.888560i | −0.353321 | − | 0.935502i | \(-0.614948\pi\) |
0.998898 | + | 0.0469423i | \(0.0149477\pi\) | |||||||
\(920\) | −2.02526 | − | 27.1864i | −0.0667708 | − | 0.896307i | ||||
\(921\) | −7.98739 | + | 22.6231i | −0.263193 | + | 0.745455i | ||||
\(922\) | −8.92308 | − | 14.7325i | −0.293866 | − | 0.485189i | ||||
\(923\) | −0.772719 | − | 2.37818i | −0.0254343 | − | 0.0782789i | ||||
\(924\) | 16.0698 | − | 7.47917i | 0.528658 | − | 0.246047i | ||||
\(925\) | 43.2969 | + | 29.9716i | 1.42359 | + | 0.985460i | ||||
\(926\) | −0.684757 | + | 8.15828i | −0.0225025 | + | 0.268098i | ||||
\(927\) | 1.13209 | − | 22.4052i | 0.0371828 | − | 0.735884i | ||||
\(928\) | 2.65186 | + | 12.4644i | 0.0870516 | + | 0.409163i | ||||
\(929\) | 19.5336 | + | 26.8857i | 0.640876 | + | 0.882090i | 0.998662 | − | 0.0517136i | \(-0.0164683\pi\) |
−0.357786 | + | 0.933804i | \(0.616468\pi\) | |||||||
\(930\) | 35.2747 | + | 3.45266i | 1.15670 | + | 0.113217i | ||||
\(931\) | −4.83115 | + | 6.64951i | −0.158335 | + | 0.217929i | ||||
\(932\) | −0.144730 | + | 0.856091i | −0.00474078 | + | 0.0280422i | ||||
\(933\) | −0.0493559 | + | 1.95485i | −0.00161584 | + | 0.0639988i | ||||
\(934\) | 9.99144 | − | 23.7712i | 0.326930 | − | 0.777818i | ||||
\(935\) | −5.10251 | + | 1.72253i | −0.166870 | + | 0.0563327i | ||||
\(936\) | −49.4724 | − | 15.3957i | −1.61706 | − | 0.503225i | ||||
\(937\) | 7.57287 | − | 23.3069i | 0.247395 | − | 0.761403i | −0.747838 | − | 0.663881i | \(-0.768908\pi\) |
0.995233 | − | 0.0975225i | \(-0.0310918\pi\) | |||||||
\(938\) | 3.47886 | − | 8.27676i | 0.113589 | − | 0.270246i | ||||
\(939\) | −6.68297 | + | 8.72634i | −0.218090 | + | 0.284773i | ||||
\(940\) | −4.40831 | − | 27.6511i | −0.143783 | − | 0.901880i | ||||
\(941\) | −44.9502 | − | 14.6052i | −1.46533 | − | 0.476116i | −0.535640 | − | 0.844447i | \(-0.679930\pi\) |
−0.929695 | + | 0.368330i | \(0.879930\pi\) | |||||||
\(942\) | 1.51274 | − | 13.8259i | 0.0492878 | − | 0.450471i | ||||
\(943\) | − | 38.1056i | − | 1.24089i | ||||||
\(944\) | 26.9610 | + | 38.7792i | 0.877507 | + | 1.26216i | ||||
\(945\) | 13.0583 | − | 32.8390i | 0.424786 | − | 1.06825i | ||||
\(946\) | −3.50248 | − | 5.78278i | −0.113875 | − | 0.188014i | ||||
\(947\) | −33.1454 | + | 24.0815i | −1.07708 | + | 0.782545i | −0.977172 | − | 0.212451i | \(-0.931855\pi\) |
−0.0999094 | + | 0.994997i | \(0.531855\pi\) | |||||||
\(948\) | −32.7095 | − | 35.1282i | −1.06236 | − | 1.14091i | ||||
\(949\) | −12.9974 | −0.421914 | ||||||||
\(950\) | −16.4176 | + | 19.9232i | −0.532658 | + | 0.646393i | ||||
\(951\) | 23.4341 | − | 16.1382i | 0.759903 | − | 0.523316i | ||||
\(952\) | −0.774757 | − | 12.2920i | −0.0251100 | − | 0.398387i | ||||
\(953\) | 22.3922 | + | 30.8203i | 0.725356 | + | 0.998367i | 0.999329 | + | 0.0366292i | \(0.0116620\pi\) |
−0.273973 | + | 0.961737i | \(0.588338\pi\) | |||||||
\(954\) | −40.4522 | + | 7.35841i | −1.30969 | + | 0.238237i | ||||
\(955\) | −6.25010 | − | 18.5142i | −0.202248 | − | 0.599105i | ||||
\(956\) | 38.4056 | + | 39.2126i | 1.24213 | + | 1.26823i | ||||
\(957\) | −5.40603 | + | 3.72293i | −0.174752 | + | 0.120345i | ||||
\(958\) | 35.3830 | + | 30.5394i | 1.14317 | + | 0.986684i | ||||
\(959\) | −1.42001 | + | 4.37033i | −0.0458544 | + | 0.141125i | ||||
\(960\) | 3.46483 | + | 30.7895i | 0.111827 | + | 0.993728i | ||||
\(961\) | −3.36031 | − | 10.3420i | −0.108397 | − | 0.333611i | ||||
\(962\) | −35.2398 | + | 83.8410i | −1.13618 | + | 2.70314i | ||||
\(963\) | 2.95297 | + | 2.38211i | 0.0951581 | + | 0.0767626i | ||||
\(964\) | 2.89297 | + | 19.5809i | 0.0931764 | + | 0.630657i | ||||
\(965\) | −2.54242 | + | 1.89188i | −0.0818433 | + | 0.0609016i | ||||
\(966\) | 6.54305 | + | 31.4407i | 0.210519 | + | 1.01159i | ||||
\(967\) | 22.5729 | − | 31.0689i | 0.725896 | − | 0.999110i | −0.273412 | − | 0.961897i | \(-0.588152\pi\) |
0.999307 | − | 0.0372128i | \(-0.0118479\pi\) | |||||||
\(968\) | 22.3828 | + | 5.74421i | 0.719411 | + | 0.184626i | ||||
\(969\) | 0.228503 | − | 9.05038i | 0.00734059 | − | 0.290740i | ||||
\(970\) | 2.53155 | + | 0.183416i | 0.0812831 | + | 0.00588913i | ||||
\(971\) | 24.0897 | − | 17.5022i | 0.773076 | − | 0.561672i | −0.129817 | − | 0.991538i | \(-0.541439\pi\) |
0.902893 | + | 0.429865i | \(0.141439\pi\) | |||||||
\(972\) | −10.2391 | − | 29.4476i | −0.328420 | − | 0.944532i | ||||
\(973\) | 8.19613 | + | 25.2251i | 0.262756 | + | 0.808679i | ||||
\(974\) | −1.31015 | + | 15.6093i | −0.0419799 | + | 0.500154i | ||||
\(975\) | 30.9792 | + | 42.8567i | 0.992127 | + | 1.37251i | ||||
\(976\) | 2.33330 | + | 0.812143i | 0.0746871 | + | 0.0259960i | ||||
\(977\) | −39.3183 | + | 12.7753i | −1.25790 | + | 0.408718i | −0.860747 | − | 0.509033i | \(-0.830003\pi\) |
−0.397157 | + | 0.917751i | \(0.630003\pi\) | |||||||
\(978\) | 4.74407 | − | 10.5343i | 0.151699 | − | 0.336851i | ||||
\(979\) | −0.346364 | − | 0.476730i | −0.0110699 | − | 0.0152364i | ||||
\(980\) | 4.56164 | − | 8.97525i | 0.145716 | − | 0.286704i | ||||
\(981\) | 31.0931 | − | 20.2751i | 0.992725 | − | 0.647333i | ||||
\(982\) | −24.4565 | − | 2.05273i | −0.780438 | − | 0.0655053i | ||||
\(983\) | 35.5905 | + | 25.8580i | 1.13516 | + | 0.824743i | 0.986438 | − | 0.164135i | \(-0.0524834\pi\) |
0.148724 | + | 0.988879i | \(0.452483\pi\) | |||||||
\(984\) | 1.63248 | + | 43.2775i | 0.0520417 | + | 1.37964i | ||||
\(985\) | 9.99504 | + | 3.12194i | 0.318468 | + | 0.0994733i | ||||
\(986\) | 1.04168 | + | 4.44047i | 0.0331739 | + | 0.141413i | ||||
\(987\) | 9.39772 | + | 31.6173i | 0.299133 | + | 1.00639i | ||||
\(988\) | −39.5145 | − | 20.6538i | −1.25712 | − | 0.657086i | ||||
\(989\) | 11.6497 | − | 3.78520i | 0.370438 | − | 0.120362i | ||||
\(990\) | −13.9634 | + | 7.72838i | −0.443785 | + | 0.245624i | ||||
\(991\) | −10.8514 | − | 3.52582i | −0.344705 | − | 0.112001i | 0.131548 | − | 0.991310i | \(-0.458005\pi\) |
−0.476253 | + | 0.879308i | \(0.658005\pi\) | |||||||
\(992\) | 31.6979 | − | 18.3089i | 1.00641 | − | 0.581307i | ||||
\(993\) | 30.6704 | − | 21.1215i | 0.973296 | − | 0.670272i | ||||
\(994\) | 1.15096 | − | 1.33350i | 0.0365061 | − | 0.0422960i | ||||
\(995\) | −24.2239 | − | 32.5535i | −0.767949 | − | 1.03202i | ||||
\(996\) | 21.6986 | + | 12.0485i | 0.687546 | + | 0.381771i | ||||
\(997\) | −2.50672 | + | 1.82124i | −0.0793886 | + | 0.0576792i | −0.626772 | − | 0.779203i | \(-0.715624\pi\) |
0.547383 | + | 0.836882i | \(0.315624\pi\) | |||||||
\(998\) | 7.09055 | − | 1.66336i | 0.224448 | − | 0.0526527i | ||||
\(999\) | −53.1762 | + | 12.9247i | −1.68242 | + | 0.408920i |
(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 | 300.2.n.a.131.26 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.131.31 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.131.37 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.131.20 | yes | 224 | |
25.21 | even | 5 | inner | 300.2.n.a.71.20 | ✓ | 224 | |
75.71 | odd | 10 | inner | 300.2.n.a.71.37 | yes | 224 | |
100.71 | odd | 10 | inner | 300.2.n.a.71.31 | yes | 224 | |
300.71 | even | 10 | inner | 300.2.n.a.71.26 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.20 | ✓ | 224 | 25.21 | even | 5 | inner | |
300.2.n.a.71.26 | yes | 224 | 300.71 | even | 10 | inner | |
300.2.n.a.71.31 | yes | 224 | 100.71 | odd | 10 | inner | |
300.2.n.a.71.37 | yes | 224 | 75.71 | odd | 10 | inner | |
300.2.n.a.131.20 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.131.26 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.131.31 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.131.37 | yes | 224 | 4.3 | odd | 2 | inner |