Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,3,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), degree \(8\), 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: | \(0.681200660901\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 12.2 | ||
Character | \(\chi\) | \(=\) | 25.12 |
Dual form | 25.3.f.a.23.2 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.312579 | − | 1.97355i | −0.156289 | − | 0.986773i | −0.933772 | − | 0.357868i | \(-0.883504\pi\) |
0.777483 | − | 0.628905i | \(-0.216496\pi\) | |||||||
\(3\) | −4.02069 | − | 2.04864i | −1.34023 | − | 0.682881i | −0.370907 | − | 0.928670i | \(-0.620953\pi\) |
−0.969323 | + | 0.245789i | \(0.920953\pi\) | |||||||
\(4\) | 0.00704800 | − | 0.00229003i | 0.00176200 | − | 0.000572509i | ||||
\(5\) | 4.93389 | + | 0.810386i | 0.986778 | + | 0.162077i | ||||
\(6\) | −2.78631 | + | 8.57538i | −0.464385 | + | 1.42923i | ||||
\(7\) | 3.91191 | + | 3.91191i | 0.558844 | + | 0.558844i | 0.928978 | − | 0.370134i | \(-0.120688\pi\) |
−0.370134 | + | 0.928978i | \(0.620688\pi\) | |||||||
\(8\) | −3.63528 | − | 7.13464i | −0.454410 | − | 0.891830i | ||||
\(9\) | 6.67894 | + | 9.19277i | 0.742104 | + | 1.02142i | ||||
\(10\) | 0.0571038 | − | 9.99057i | 0.00571038 | − | 0.999057i | ||||
\(11\) | −2.73590 | − | 1.98775i | −0.248719 | − | 0.180705i | 0.456440 | − | 0.889754i | \(-0.349124\pi\) |
−0.705159 | + | 0.709049i | \(0.749124\pi\) | |||||||
\(12\) | −0.0330293 | − | 0.00523133i | −0.00275244 | − | 0.000435944i | ||||
\(13\) | −3.13886 | + | 19.8180i | −0.241451 | + | 1.52446i | 0.507394 | + | 0.861714i | \(0.330609\pi\) |
−0.748845 | + | 0.662746i | \(0.769391\pi\) | |||||||
\(14\) | 6.49755 | − | 8.94311i | 0.464111 | − | 0.638793i | ||||
\(15\) | −18.1775 | − | 13.3661i | −1.21183 | − | 0.891073i | ||||
\(16\) | −12.9202 | + | 9.38711i | −0.807515 | + | 0.586694i | ||||
\(17\) | 17.7107 | − | 9.02407i | 1.04181 | − | 0.530828i | 0.152579 | − | 0.988291i | \(-0.451242\pi\) |
0.889228 | + | 0.457464i | \(0.151242\pi\) | |||||||
\(18\) | 16.0547 | − | 16.0547i | 0.891926 | − | 0.891926i | ||||
\(19\) | −5.87938 | − | 1.91032i | −0.309441 | − | 0.100543i | 0.150180 | − | 0.988659i | \(-0.452015\pi\) |
−0.459621 | + | 0.888115i | \(0.652015\pi\) | |||||||
\(20\) | 0.0366299 | − | 0.00558718i | 0.00183149 | − | 0.000279359i | ||||
\(21\) | −7.71446 | − | 23.7427i | −0.367355 | − | 1.13060i | ||||
\(22\) | −3.06773 | + | 6.02076i | −0.139442 | + | 0.273671i | ||||
\(23\) | −13.6608 | + | 2.16366i | −0.593948 | + | 0.0940721i | −0.446170 | − | 0.894948i | \(-0.647212\pi\) |
−0.147778 | + | 0.989021i | \(0.547212\pi\) | |||||||
\(24\) | 36.1336i | 1.50557i | ||||||||
\(25\) | 23.6865 | + | 7.99671i | 0.947462 | + | 0.319868i | ||||
\(26\) | 40.0928 | 1.54203 | ||||||||
\(27\) | −1.66800 | − | 10.5313i | −0.0617777 | − | 0.390049i | ||||
\(28\) | 0.0365295 | + | 0.0186127i | 0.00130463 | + | 0.000664740i | ||||
\(29\) | −29.3129 | + | 9.52435i | −1.01079 | + | 0.328426i | −0.767170 | − | 0.641444i | \(-0.778336\pi\) |
−0.243622 | + | 0.969870i | \(0.578336\pi\) | |||||||
\(30\) | −20.6967 | + | 40.0520i | −0.689891 | + | 1.33507i | ||||
\(31\) | −0.774840 | + | 2.38471i | −0.0249948 | + | 0.0769262i | −0.962776 | − | 0.270301i | \(-0.912877\pi\) |
0.937781 | + | 0.347227i | \(0.112877\pi\) | |||||||
\(32\) | −0.0838425 | − | 0.0838425i | −0.00262008 | − | 0.00262008i | ||||
\(33\) | 6.92803 | + | 13.5970i | 0.209940 | + | 0.412031i | ||||
\(34\) | −23.3454 | − | 32.1322i | −0.686630 | − | 0.945065i | ||||
\(35\) | 16.1308 | + | 22.4711i | 0.460879 | + | 0.642031i | ||||
\(36\) | 0.0681249 | + | 0.0494957i | 0.00189236 | + | 0.00137488i | ||||
\(37\) | −33.6313 | − | 5.32667i | −0.908954 | − | 0.143964i | −0.315587 | − | 0.948897i | \(-0.602202\pi\) |
−0.593367 | + | 0.804932i | \(0.702202\pi\) | |||||||
\(38\) | −1.93234 | + | 12.2003i | −0.0508512 | + | 0.321062i | ||||
\(39\) | 53.2204 | − | 73.2515i | 1.36462 | − | 1.87824i | ||||
\(40\) | −12.1543 | − | 38.1475i | −0.303857 | − | 0.953688i | ||||
\(41\) | 29.0354 | − | 21.0954i | 0.708180 | − | 0.514523i | −0.174406 | − | 0.984674i | \(-0.555800\pi\) |
0.882586 | + | 0.470151i | \(0.155800\pi\) | |||||||
\(42\) | −44.4459 | + | 22.6463i | −1.05823 | + | 0.539198i | ||||
\(43\) | 23.3347 | − | 23.3347i | 0.542667 | − | 0.542667i | −0.381643 | − | 0.924310i | \(-0.624642\pi\) |
0.924310 | + | 0.381643i | \(0.124642\pi\) | |||||||
\(44\) | −0.0238347 | − | 0.00774436i | −0.000541697 | − | 0.000176008i | ||||
\(45\) | 25.5035 | + | 50.7686i | 0.566744 | + | 1.12819i | ||||
\(46\) | 8.54016 | + | 26.2839i | 0.185656 | + | 0.571389i | ||||
\(47\) | −19.2067 | + | 37.6953i | −0.408654 | + | 0.802029i | −0.999990 | − | 0.00439647i | \(-0.998601\pi\) |
0.591336 | + | 0.806425i | \(0.298601\pi\) | |||||||
\(48\) | 71.1791 | − | 11.2737i | 1.48290 | − | 0.234868i | ||||
\(49\) | − | 18.3940i | − | 0.375387i | ||||||
\(50\) | 8.37796 | − | 49.2461i | 0.167559 | − | 0.984922i | ||||
\(51\) | −89.6965 | −1.75875 | ||||||||
\(52\) | 0.0232612 | + | 0.146865i | 0.000447330 | + | 0.00282433i | ||||
\(53\) | −73.4897 | − | 37.4449i | −1.38660 | − | 0.706507i | −0.408134 | − | 0.912922i | \(-0.633820\pi\) |
−0.978465 | + | 0.206415i | \(0.933820\pi\) | |||||||
\(54\) | −20.2627 | + | 6.58375i | −0.375235 | + | 0.121921i | ||||
\(55\) | −11.8878 | − | 12.0245i | −0.216142 | − | 0.218627i | ||||
\(56\) | 13.6892 | − | 42.1309i | 0.244449 | − | 0.752338i | ||||
\(57\) | 19.7256 | + | 19.7256i | 0.346063 | + | 0.346063i | ||||
\(58\) | 27.9594 | + | 54.8733i | 0.482058 | + | 0.946092i | ||||
\(59\) | 1.53534 | + | 2.11322i | 0.0260228 | + | 0.0358173i | 0.821830 | − | 0.569733i | \(-0.192953\pi\) |
−0.795807 | + | 0.605550i | \(0.792953\pi\) | |||||||
\(60\) | −0.158724 | − | 0.0525773i | −0.00264539 | − | 0.000876288i | ||||
\(61\) | 21.8447 | + | 15.8711i | 0.358110 | + | 0.260182i | 0.752264 | − | 0.658862i | \(-0.228962\pi\) |
−0.394153 | + | 0.919045i | \(0.628962\pi\) | |||||||
\(62\) | 4.94854 | + | 0.783771i | 0.0798151 | + | 0.0126415i | ||||
\(63\) | −9.83388 | + | 62.0887i | −0.156093 | + | 0.985534i | ||||
\(64\) | −37.6877 | + | 51.8727i | −0.588870 | + | 0.810510i | ||||
\(65\) | −31.5470 | + | 95.2360i | −0.485338 | + | 1.46517i | ||||
\(66\) | 24.6688 | − | 17.9229i | 0.373770 | − | 0.271560i | ||||
\(67\) | 67.8430 | − | 34.5677i | 1.01258 | − | 0.515936i | 0.132714 | − | 0.991154i | \(-0.457631\pi\) |
0.879868 | + | 0.475218i | \(0.157631\pi\) | |||||||
\(68\) | 0.104160 | − | 0.104160i | 0.00153176 | − | 0.00153176i | ||||
\(69\) | 59.3584 | + | 19.2867i | 0.860267 | + | 0.279518i | ||||
\(70\) | 39.3056 | − | 38.8588i | 0.561508 | − | 0.555126i | ||||
\(71\) | 22.6659 | + | 69.7586i | 0.319239 | + | 0.982516i | 0.973974 | + | 0.226658i | \(0.0727799\pi\) |
−0.654736 | + | 0.755858i | \(0.727220\pi\) | |||||||
\(72\) | 41.3073 | − | 81.0701i | 0.573712 | − | 1.12597i | ||||
\(73\) | 51.6598 | − | 8.18211i | 0.707669 | − | 0.112084i | 0.207783 | − | 0.978175i | \(-0.433375\pi\) |
0.499886 | + | 0.866091i | \(0.333375\pi\) | |||||||
\(74\) | 68.0379i | 0.919431i | ||||||||
\(75\) | −78.8539 | − | 80.6776i | −1.05138 | − | 1.07570i | ||||
\(76\) | −0.0458126 | −0.000602797 | ||||||||
\(77\) | −2.92671 | − | 18.4785i | −0.0380092 | − | 0.239981i | ||||
\(78\) | −161.201 | − | 82.1359i | −2.06668 | − | 1.05302i | ||||
\(79\) | −37.4103 | + | 12.1554i | −0.473548 | + | 0.153865i | −0.536061 | − | 0.844179i | \(-0.680088\pi\) |
0.0625131 | + | 0.998044i | \(0.480088\pi\) | |||||||
\(80\) | −71.3543 | + | 35.8446i | −0.891928 | + | 0.448057i | ||||
\(81\) | 16.7335 | − | 51.5004i | 0.206586 | − | 0.635807i | ||||
\(82\) | −50.7087 | − | 50.7087i | −0.618399 | − | 0.618399i | ||||
\(83\) | −22.8152 | − | 44.7773i | −0.274881 | − | 0.539485i | 0.711754 | − | 0.702429i | \(-0.247901\pi\) |
−0.986635 | + | 0.162944i | \(0.947901\pi\) | |||||||
\(84\) | −0.108743 | − | 0.149672i | −0.00129456 | − | 0.00178181i | ||||
\(85\) | 94.6958 | − | 30.1712i | 1.11407 | − | 0.354956i | ||||
\(86\) | −53.3460 | − | 38.7581i | −0.620302 | − | 0.450676i | ||||
\(87\) | 137.370 | + | 21.7573i | 1.57897 | + | 0.250084i | ||||
\(88\) | −4.23611 | + | 26.7457i | −0.0481376 | + | 0.303929i | ||||
\(89\) | −41.7155 | + | 57.4164i | −0.468713 | + | 0.645128i | −0.976287 | − | 0.216480i | \(-0.930542\pi\) |
0.507574 | + | 0.861608i | \(0.330542\pi\) | |||||||
\(90\) | 92.2224 | − | 66.2015i | 1.02469 | − | 0.735572i | ||||
\(91\) | −89.8050 | + | 65.2472i | −0.986868 | + | 0.717002i | ||||
\(92\) | −0.0913265 | + | 0.0465332i | −0.000992679 | + | 0.000505795i | ||||
\(93\) | 8.00082 | − | 8.00082i | 0.0860303 | − | 0.0860303i | ||||
\(94\) | 80.3971 | + | 26.1226i | 0.855288 | + | 0.277900i | ||||
\(95\) | −27.4601 | − | 14.1899i | −0.289054 | − | 0.149367i | ||||
\(96\) | 0.165341 | + | 0.508868i | 0.00172230 | + | 0.00530071i | ||||
\(97\) | −1.26842 | + | 2.48942i | −0.0130765 | + | 0.0256642i | −0.897452 | − | 0.441111i | \(-0.854584\pi\) |
0.884376 | + | 0.466775i | \(0.154584\pi\) | |||||||
\(98\) | −36.3014 | + | 5.74957i | −0.370422 | + | 0.0586691i | ||||
\(99\) | − | 38.4266i | − | 0.388148i | ||||||
\(100\) | 0.185256 | + | 0.00211783i | 0.00185256 | + | 2.11783e-5i | ||||
\(101\) | −53.7631 | −0.532308 | −0.266154 | − | 0.963931i | \(-0.585753\pi\) | ||||
−0.266154 | + | 0.963931i | \(0.585753\pi\) | |||||||
\(102\) | 28.0372 | + | 177.020i | 0.274875 | + | 1.73549i | ||||
\(103\) | 104.783 | + | 53.3894i | 1.01731 | + | 0.518344i | 0.881397 | − | 0.472377i | \(-0.156604\pi\) |
0.135911 | + | 0.990721i | \(0.456604\pi\) | |||||||
\(104\) | 152.805 | − | 49.6493i | 1.46928 | − | 0.477397i | ||||
\(105\) | −18.8216 | − | 123.395i | −0.179253 | − | 1.17519i | ||||
\(106\) | −50.9278 | + | 156.740i | −0.480451 | + | 1.47868i | ||||
\(107\) | 1.86245 | + | 1.86245i | 0.0174060 | + | 0.0174060i | 0.715756 | − | 0.698350i | \(-0.246082\pi\) |
−0.698350 | + | 0.715756i | \(0.746082\pi\) | |||||||
\(108\) | −0.0358732 | − | 0.0704051i | −0.000332159 | − | 0.000651899i | ||||
\(109\) | −77.7078 | − | 106.956i | −0.712915 | − | 0.981244i | −0.999730 | − | 0.0232574i | \(-0.992596\pi\) |
0.286814 | − | 0.957986i | \(-0.407404\pi\) | |||||||
\(110\) | −20.0150 | + | 27.2197i | −0.181954 | + | 0.247452i | ||||
\(111\) | 124.309 | + | 90.3154i | 1.11990 | + | 0.813653i | ||||
\(112\) | −87.2643 | − | 13.8213i | −0.779145 | − | 0.123405i | ||||
\(113\) | 6.99224 | − | 44.1473i | 0.0618782 | − | 0.390684i | −0.937239 | − | 0.348686i | \(-0.886628\pi\) |
0.999118 | − | 0.0419974i | \(-0.0133721\pi\) | |||||||
\(114\) | 32.7635 | − | 45.0951i | 0.287399 | − | 0.395571i | ||||
\(115\) | −69.1543 | − | 0.395270i | −0.601342 | − | 0.00343713i | ||||
\(116\) | −0.184787 | + | 0.134255i | −0.00159299 | + | 0.00115737i | ||||
\(117\) | −203.146 | + | 103.508i | −1.73629 | + | 0.884686i | ||||
\(118\) | 3.69062 | − | 3.69062i | 0.0312765 | − | 0.0312765i | ||||
\(119\) | 104.584 | + | 33.9814i | 0.878858 | + | 0.285558i | ||||
\(120\) | −29.2821 | + | 178.279i | −0.244018 | + | 1.48566i | ||||
\(121\) | −33.8570 | − | 104.201i | −0.279810 | − | 0.861167i | ||||
\(122\) | 24.4942 | − | 48.0726i | 0.200772 | − | 0.394037i | ||||
\(123\) | −159.959 | + | 25.3351i | −1.30048 | + | 0.205976i | ||||
\(124\) | 0.0185819i | 0.000149854i | ||||||||
\(125\) | 110.386 | + | 58.6502i | 0.883091 | + | 0.469201i | ||||
\(126\) | 125.609 | 0.996894 | ||||||||
\(127\) | −26.6349 | − | 168.166i | −0.209724 | − | 1.32415i | −0.837793 | − | 0.545988i | \(-0.816155\pi\) |
0.628069 | − | 0.778158i | \(-0.283845\pi\) | |||||||
\(128\) | 113.731 | + | 57.9488i | 0.888522 | + | 0.452725i | ||||
\(129\) | −141.626 | + | 46.0171i | −1.09788 | + | 0.356722i | ||||
\(130\) | 197.814 | + | 32.4907i | 1.52164 | + | 0.249928i | ||||
\(131\) | 16.2028 | − | 49.8672i | 0.123686 | − | 0.380665i | −0.869974 | − | 0.493098i | \(-0.835864\pi\) |
0.993659 | + | 0.112433i | \(0.0358643\pi\) | |||||||
\(132\) | 0.0799664 | + | 0.0799664i | 0.000605806 | + | 0.000605806i | ||||
\(133\) | −15.5266 | − | 30.4726i | −0.116741 | − | 0.229117i | ||||
\(134\) | −89.4273 | − | 123.086i | −0.667368 | − | 0.918553i | ||||
\(135\) | 0.304720 | − | 53.3122i | 0.00225718 | − | 0.394905i | ||||
\(136\) | −128.767 | − | 93.5547i | −0.946816 | − | 0.687902i | ||||
\(137\) | 50.3103 | + | 7.96837i | 0.367228 | + | 0.0581633i | 0.337322 | − | 0.941389i | \(-0.390479\pi\) |
0.0299067 | + | 0.999553i | \(0.490479\pi\) | |||||||
\(138\) | 19.5090 | − | 123.175i | 0.141370 | − | 0.892574i | ||||
\(139\) | −69.7880 | + | 96.0549i | −0.502072 | + | 0.691043i | −0.982557 | − | 0.185960i | \(-0.940461\pi\) |
0.480485 | + | 0.877003i | \(0.340461\pi\) | |||||||
\(140\) | 0.165149 | + | 0.121436i | 0.00117964 | + | 0.000867401i | ||||
\(141\) | 154.449 | − | 112.214i | 1.09538 | − | 0.795841i | ||||
\(142\) | 130.587 | − | 66.5374i | 0.919626 | − | 0.468573i | ||||
\(143\) | 47.9808 | − | 47.9808i | 0.335530 | − | 0.335530i | ||||
\(144\) | −172.587 | − | 56.0769i | −1.19852 | − | 0.389423i | ||||
\(145\) | −152.345 | + | 23.2373i | −1.05066 | + | 0.160257i | ||||
\(146\) | −32.2955 | − | 99.3955i | −0.221202 | − | 0.680791i | ||||
\(147\) | −37.6827 | + | 73.9565i | −0.256345 | + | 0.503105i | ||||
\(148\) | −0.249232 | + | 0.0394744i | −0.00168400 | + | 0.000266719i | ||||
\(149\) | − | 64.0597i | − | 0.429931i | −0.976622 | − | 0.214965i | \(-0.931036\pi\) | ||
0.976622 | − | 0.214965i | \(-0.0689639\pi\) | |||||||
\(150\) | −134.573 | + | 180.840i | −0.897153 | + | 1.20560i | ||||
\(151\) | 227.547 | 1.50693 | 0.753467 | − | 0.657486i | \(-0.228380\pi\) | ||||
0.753467 | + | 0.657486i | \(0.228380\pi\) | |||||||
\(152\) | 7.74370 | + | 48.8918i | 0.0509454 | + | 0.321657i | ||||
\(153\) | 201.245 | + | 102.540i | 1.31533 | + | 0.670193i | ||||
\(154\) | −35.5533 | + | 11.5520i | −0.230866 | + | 0.0750129i | ||||
\(155\) | −5.75551 | + | 11.1380i | −0.0371323 | + | 0.0718580i | ||||
\(156\) | 0.207349 | − | 0.638153i | 0.00132916 | − | 0.00409073i | ||||
\(157\) | −65.7370 | − | 65.7370i | −0.418707 | − | 0.418707i | 0.466051 | − | 0.884758i | \(-0.345676\pi\) |
−0.884758 | + | 0.466051i | \(0.845676\pi\) | |||||||
\(158\) | 35.6828 | + | 70.0315i | 0.225841 | + | 0.443237i | ||||
\(159\) | 218.768 | + | 301.108i | 1.37590 | + | 1.89376i | ||||
\(160\) | −0.345725 | − | 0.481614i | −0.00216078 | − | 0.00301009i | ||||
\(161\) | −61.9038 | − | 44.9757i | −0.384496 | − | 0.279352i | ||||
\(162\) | −106.869 | − | 16.9264i | −0.659685 | − | 0.104484i | ||||
\(163\) | −19.9218 | + | 125.781i | −0.122220 | + | 0.771664i | 0.848100 | + | 0.529837i | \(0.177747\pi\) |
−0.970319 | + | 0.241827i | \(0.922253\pi\) | |||||||
\(164\) | 0.156332 | − | 0.215173i | 0.000953245 | − | 0.00131203i | ||||
\(165\) | 23.1633 | + | 72.7006i | 0.140384 | + | 0.440610i | ||||
\(166\) | −81.2384 | + | 59.0232i | −0.489388 | + | 0.355561i | ||||
\(167\) | −71.6764 | + | 36.5209i | −0.429200 | + | 0.218688i | −0.655226 | − | 0.755433i | \(-0.727427\pi\) |
0.226026 | + | 0.974121i | \(0.427427\pi\) | |||||||
\(168\) | −141.351 | + | 141.351i | −0.841376 | + | 0.841376i | ||||
\(169\) | −222.171 | − | 72.1878i | −1.31462 | − | 0.427147i | ||||
\(170\) | −89.1442 | − | 177.456i | −0.524378 | − | 1.04386i | ||||
\(171\) | −21.7068 | − | 66.8067i | −0.126940 | − | 0.390682i | ||||
\(172\) | 0.111026 | − | 0.217900i | 0.000645498 | − | 0.00126686i | ||||
\(173\) | 168.729 | − | 26.7241i | 0.975314 | − | 0.154474i | 0.351619 | − | 0.936143i | \(-0.385631\pi\) |
0.623694 | + | 0.781669i | \(0.285631\pi\) | |||||||
\(174\) | − | 277.907i | − | 1.59717i | ||||||
\(175\) | 61.3772 | + | 123.942i | 0.350727 | + | 0.708240i | ||||
\(176\) | 54.0078 | 0.306862 | ||||||||
\(177\) | −1.84391 | − | 11.6420i | −0.0104176 | − | 0.0657739i | ||||
\(178\) | 126.353 | + | 64.3802i | 0.709850 | + | 0.361687i | ||||
\(179\) | 250.316 | − | 81.3326i | 1.39841 | − | 0.454372i | 0.489736 | − | 0.871871i | \(-0.337093\pi\) |
0.908677 | + | 0.417499i | \(0.137093\pi\) | |||||||
\(180\) | 0.296010 | + | 0.299414i | 0.00164450 | + | 0.00166341i | ||||
\(181\) | −42.4512 | + | 130.651i | −0.234537 | + | 0.721830i | 0.762646 | + | 0.646817i | \(0.223900\pi\) |
−0.997183 | + | 0.0750137i | \(0.976100\pi\) | |||||||
\(182\) | 156.839 | + | 156.839i | 0.861755 | + | 0.861755i | ||||
\(183\) | −55.3166 | − | 108.565i | −0.302277 | − | 0.593251i | ||||
\(184\) | 65.0978 | + | 89.5994i | 0.353792 | + | 0.486953i | ||||
\(185\) | −161.616 | − | 53.5356i | −0.873602 | − | 0.289381i | ||||
\(186\) | −18.2909 | − | 13.2891i | −0.0983380 | − | 0.0714467i | ||||
\(187\) | −66.3925 | − | 10.5155i | −0.355040 | − | 0.0562328i | ||||
\(188\) | −0.0490455 | + | 0.309661i | −0.000260880 | + | 0.00164713i | ||||
\(189\) | 34.6725 | − | 47.7226i | 0.183453 | − | 0.252501i | ||||
\(190\) | −19.4210 | + | 58.6292i | −0.102216 | + | 0.308575i | ||||
\(191\) | −153.497 | + | 111.522i | −0.803651 | + | 0.583886i | −0.911983 | − | 0.410228i | \(-0.865449\pi\) |
0.108332 | + | 0.994115i | \(0.465449\pi\) | |||||||
\(192\) | 257.799 | − | 131.355i | 1.34270 | − | 0.684142i | ||||
\(193\) | 46.3256 | − | 46.3256i | 0.240029 | − | 0.240029i | −0.576833 | − | 0.816862i | \(-0.695712\pi\) |
0.816862 | + | 0.576833i | \(0.195712\pi\) | |||||||
\(194\) | 5.30947 | + | 1.72515i | 0.0273684 | + | 0.00889254i | ||||
\(195\) | 321.945 | − | 318.286i | 1.65100 | − | 1.63224i | ||||
\(196\) | −0.0421228 | − | 0.129641i | −0.000214912 | − | 0.000661433i | ||||
\(197\) | −124.210 | + | 243.776i | −0.630508 | + | 1.23744i | 0.325899 | + | 0.945405i | \(0.394333\pi\) |
−0.956407 | + | 0.292038i | \(0.905667\pi\) | |||||||
\(198\) | −75.8367 | + | 12.0114i | −0.383014 | + | 0.0606634i | ||||
\(199\) | 198.243i | 0.996197i | 0.867120 | + | 0.498099i | \(0.165968\pi\) | ||||
−0.867120 | + | 0.498099i | \(0.834032\pi\) | |||||||
\(200\) | −29.0536 | − | 198.065i | −0.145268 | − | 0.990326i | ||||
\(201\) | −343.593 | −1.70942 | ||||||||
\(202\) | 16.8052 | + | 106.104i | 0.0831941 | + | 0.525267i | ||||
\(203\) | −151.928 | − | 77.4111i | −0.748413 | − | 0.381336i | ||||
\(204\) | −0.632181 | + | 0.205408i | −0.00309893 | + | 0.00100690i | ||||
\(205\) | 160.353 | − | 80.5527i | 0.782209 | − | 0.392940i | ||||
\(206\) | 72.6137 | − | 223.482i | 0.352494 | − | 1.08486i | ||||
\(207\) | −111.130 | − | 111.130i | −0.536858 | − | 0.536858i | ||||
\(208\) | −145.479 | − | 285.518i | −0.699417 | − | 1.37268i | ||||
\(209\) | 12.2882 | + | 16.9132i | 0.0587950 | + | 0.0809244i | ||||
\(210\) | −237.643 | + | 75.7161i | −1.13163 | + | 0.360553i | ||||
\(211\) | 304.272 | + | 221.067i | 1.44205 | + | 1.04771i | 0.987609 | + | 0.156933i | \(0.0501605\pi\) |
0.454440 | + | 0.890777i | \(0.349839\pi\) | |||||||
\(212\) | −0.603706 | − | 0.0956176i | −0.00284767 | − | 0.000451026i | ||||
\(213\) | 51.7778 | − | 326.912i | 0.243088 | − | 1.53480i | ||||
\(214\) | 3.09346 | − | 4.25778i | 0.0144554 | − | 0.0198962i | ||||
\(215\) | 134.041 | − | 96.2207i | 0.623446 | − | 0.447538i | ||||
\(216\) | −69.0736 | + | 50.1849i | −0.319785 | + | 0.232338i | ||||
\(217\) | −12.3599 | + | 6.29767i | −0.0569579 | + | 0.0290215i | ||||
\(218\) | −186.792 | + | 186.792i | −0.856844 | + | 0.856844i | ||||
\(219\) | −224.470 | − | 72.9348i | −1.02498 | − | 0.333036i | ||||
\(220\) | −0.111322 | − | 0.0575251i | −0.000506008 | − | 0.000261478i | ||||
\(221\) | 123.247 | + | 379.316i | 0.557680 | + | 1.71636i | ||||
\(222\) | 139.385 | − | 273.559i | 0.627862 | − | 1.23225i | ||||
\(223\) | −385.310 | + | 61.0271i | −1.72785 | + | 0.273664i | −0.939744 | − | 0.341878i | \(-0.888937\pi\) |
−0.788104 | + | 0.615542i | \(0.788937\pi\) | |||||||
\(224\) | − | 0.655968i | − | 0.00292843i | ||||||
\(225\) | 84.6891 | + | 271.155i | 0.376396 | + | 1.20513i | ||||
\(226\) | −89.3123 | −0.395187 | ||||||||
\(227\) | −65.9806 | − | 416.585i | −0.290663 | − | 1.83518i | −0.510790 | − | 0.859706i | \(-0.670647\pi\) |
0.220127 | − | 0.975471i | \(-0.429353\pi\) | |||||||
\(228\) | 0.184198 | + | 0.0938536i | 0.000807886 | + | 0.000411639i | ||||
\(229\) | 272.802 | − | 88.6388i | 1.19128 | − | 0.387069i | 0.354731 | − | 0.934968i | \(-0.384572\pi\) |
0.836544 | + | 0.547899i | \(0.184572\pi\) | |||||||
\(230\) | 20.8361 | + | 136.603i | 0.0905917 | + | 0.593925i | ||||
\(231\) | −26.0885 | + | 80.2921i | −0.112937 | + | 0.347585i | ||||
\(232\) | 174.514 | + | 174.514i | 0.752214 | + | 0.752214i | ||||
\(233\) | 87.8729 | + | 172.460i | 0.377137 | + | 0.740173i | 0.999080 | − | 0.0428897i | \(-0.0136564\pi\) |
−0.621943 | + | 0.783063i | \(0.713656\pi\) | |||||||
\(234\) | 267.778 | + | 368.564i | 1.14435 | + | 1.57506i | ||||
\(235\) | −125.312 | + | 170.420i | −0.533241 | + | 0.725191i | ||||
\(236\) | 0.0156605 | + | 0.0113780i | 6.63579e−5 | + | 4.82118e-5i | ||||
\(237\) | 175.317 | + | 27.7675i | 0.739735 | + | 0.117163i | ||||
\(238\) | 34.3731 | − | 217.023i | 0.144425 | − | 0.911863i | ||||
\(239\) | −34.9983 | + | 48.1710i | −0.146436 | + | 0.201552i | −0.875934 | − | 0.482431i | \(-0.839754\pi\) |
0.729498 | + | 0.683983i | \(0.239754\pi\) | |||||||
\(240\) | 360.326 | + | 2.05954i | 1.50136 | + | 0.00858142i | ||||
\(241\) | 361.028 | − | 262.302i | 1.49804 | − | 1.08839i | 0.526889 | − | 0.849934i | \(-0.323358\pi\) |
0.971153 | − | 0.238457i | \(-0.0766416\pi\) | |||||||
\(242\) | −195.063 | + | 99.3895i | −0.806045 | + | 0.410701i | ||||
\(243\) | −240.643 | + | 240.643i | −0.990299 | + | 0.990299i | ||||
\(244\) | 0.190307 | + | 0.0618346i | 0.000779948 | + | 0.000253420i | ||||
\(245\) | 14.9062 | − | 90.7539i | 0.0608417 | − | 0.370424i | ||||
\(246\) | 99.9999 | + | 307.768i | 0.406504 | + | 1.25109i | ||||
\(247\) | 56.3133 | − | 110.521i | 0.227989 | − | 0.447454i | ||||
\(248\) | 19.8308 | − | 3.14089i | 0.0799630 | − | 0.0126649i | ||||
\(249\) | 226.776i | 0.910745i | ||||||||
\(250\) | 81.2443 | − | 236.185i | 0.324977 | − | 0.944742i | ||||
\(251\) | −274.930 | −1.09534 | −0.547669 | − | 0.836695i | \(-0.684485\pi\) | ||||
−0.547669 | + | 0.836695i | \(0.684485\pi\) | |||||||
\(252\) | 0.0728760 | + | 0.460121i | 0.000289190 | + | 0.00182588i | ||||
\(253\) | 41.6755 | + | 21.2347i | 0.164725 | + | 0.0839316i | ||||
\(254\) | −323.559 | + | 105.131i | −1.27385 | + | 0.413900i | ||||
\(255\) | −442.553 | − | 72.6888i | −1.73550 | − | 0.285054i | ||||
\(256\) | −0.439685 | + | 1.35321i | −0.00171752 | + | 0.00528598i | ||||
\(257\) | 160.142 | + | 160.142i | 0.623121 | + | 0.623121i | 0.946328 | − | 0.323207i | \(-0.104761\pi\) |
−0.323207 | + | 0.946328i | \(0.604761\pi\) | |||||||
\(258\) | 135.086 | + | 265.121i | 0.523590 | + | 1.02760i | ||||
\(259\) | −110.725 | − | 152.400i | −0.427510 | − | 0.588417i | ||||
\(260\) | −0.00424949 | + | 0.743468i | −1.63442e−5 | + | 0.00285949i | ||||
\(261\) | −283.335 | − | 205.855i | −1.08557 | − | 0.788715i | ||||
\(262\) | −103.480 | − | 16.3896i | −0.394961 | − | 0.0625557i | ||||
\(263\) | 65.5157 | − | 413.650i | 0.249109 | − | 1.57281i | −0.473018 | − | 0.881053i | \(-0.656836\pi\) |
0.722127 | − | 0.691760i | \(-0.243164\pi\) | |||||||
\(264\) | 71.8245 | − | 98.8580i | 0.272063 | − | 0.374462i | ||||
\(265\) | −332.245 | − | 244.304i | −1.25376 | − | 0.921902i | ||||
\(266\) | −55.2858 | + | 40.1675i | −0.207841 | + | 0.151005i | ||||
\(267\) | 285.351 | − | 145.394i | 1.06873 | − | 0.544545i | ||||
\(268\) | 0.398996 | − | 0.398996i | 0.00148879 | − | 0.00148879i | ||||
\(269\) | −11.6319 | − | 3.77942i | −0.0432412 | − | 0.0140499i | 0.287317 | − | 0.957836i | \(-0.407237\pi\) |
−0.330558 | + | 0.943786i | \(0.607237\pi\) | |||||||
\(270\) | −105.309 | + | 16.0629i | −0.390034 | + | 0.0594922i | ||||
\(271\) | −161.855 | − | 498.138i | −0.597250 | − | 1.83815i | −0.543189 | − | 0.839610i | \(-0.682783\pi\) |
−0.0540612 | − | 0.998538i | \(-0.517217\pi\) | |||||||
\(272\) | −144.117 | + | 282.846i | −0.529842 | + | 1.03987i | ||||
\(273\) | 494.746 | − | 78.3601i | 1.81226 | − | 0.287033i | ||||
\(274\) | − | 101.780i | − | 0.371461i | ||||||
\(275\) | −48.9087 | − | 68.9612i | −0.177850 | − | 0.250768i | ||||
\(276\) | 0.462525 | 0.00167582 | ||||||||
\(277\) | 68.2890 | + | 431.160i | 0.246531 | + | 1.55653i | 0.731402 | + | 0.681947i | \(0.238867\pi\) |
−0.484871 | + | 0.874586i | \(0.661133\pi\) | |||||||
\(278\) | 211.383 | + | 107.705i | 0.760371 | + | 0.387428i | ||||
\(279\) | −27.0972 | + | 8.80442i | −0.0971227 | + | 0.0315571i | ||||
\(280\) | 101.683 | − | 196.776i | 0.363154 | − | 0.702771i | ||||
\(281\) | 31.8261 | − | 97.9506i | 0.113260 | − | 0.348579i | −0.878320 | − | 0.478073i | \(-0.841335\pi\) |
0.991580 | + | 0.129494i | \(0.0413354\pi\) | |||||||
\(282\) | −269.736 | − | 269.736i | −0.956510 | − | 0.956510i | ||||
\(283\) | 96.0529 | + | 188.514i | 0.339409 | + | 0.666129i | 0.996119 | − | 0.0880149i | \(-0.0280523\pi\) |
−0.656710 | + | 0.754143i | \(0.728052\pi\) | |||||||
\(284\) | 0.319499 | + | 0.439753i | 0.00112500 | + | 0.00154843i | ||||
\(285\) | 81.3385 | + | 113.309i | 0.285398 | + | 0.397576i | ||||
\(286\) | −109.690 | − | 79.6946i | −0.383532 | − | 0.278652i | ||||
\(287\) | 196.107 | + | 31.0603i | 0.683300 | + | 0.108224i | ||||
\(288\) | 0.210766 | − | 1.33072i | 0.000731826 | − | 0.00462057i | ||||
\(289\) | 62.3663 | − | 85.8398i | 0.215800 | − | 0.297024i | ||||
\(290\) | 93.4798 | + | 293.397i | 0.322344 | + | 1.01171i | ||||
\(291\) | 10.1999 | − | 7.41065i | 0.0350512 | − | 0.0254662i | ||||
\(292\) | 0.345361 | − | 0.175970i | 0.00118274 | − | 0.000602638i | ||||
\(293\) | −192.127 | + | 192.127i | −0.655724 | + | 0.655724i | −0.954365 | − | 0.298642i | \(-0.903466\pi\) |
0.298642 | + | 0.954365i | \(0.403466\pi\) | |||||||
\(294\) | 157.735 | + | 51.2513i | 0.536515 | + | 0.174324i | ||||
\(295\) | 5.86270 | + | 11.6706i | 0.0198736 | + | 0.0395614i | ||||
\(296\) | 84.2553 | + | 259.311i | 0.284646 | + | 0.876051i | ||||
\(297\) | −16.3702 | + | 32.1283i | −0.0551184 | + | 0.108176i | ||||
\(298\) | −126.425 | + | 20.0237i | −0.424244 | + | 0.0671937i | ||||
\(299\) | − | 277.521i | − | 0.928163i | ||||||
\(300\) | −0.740517 | − | 0.388038i | −0.00246839 | − | 0.00129346i | ||||
\(301\) | 182.566 | 0.606532 | ||||||||
\(302\) | −71.1264 | − | 449.075i | −0.235518 | − | 1.48700i | ||||
\(303\) | 216.165 | + | 110.141i | 0.713415 | + | 0.363503i | ||||
\(304\) | 93.8954 | − | 30.5085i | 0.308866 | − | 0.100357i | ||||
\(305\) | 94.9178 | + | 96.0091i | 0.311206 | + | 0.314784i | ||||
\(306\) | 139.461 | − | 429.218i | 0.455756 | − | 1.40267i | ||||
\(307\) | −37.7886 | − | 37.7886i | −0.123090 | − | 0.123090i | 0.642878 | − | 0.765968i | \(-0.277740\pi\) |
−0.765968 | + | 0.642878i | \(0.777740\pi\) | |||||||
\(308\) | −0.0629438 | − | 0.123534i | −0.000204363 | − | 0.000401085i | ||||
\(309\) | −311.923 | − | 429.325i | −1.00946 | − | 1.38940i | ||||
\(310\) | 23.7804 | + | 7.87727i | 0.0767109 | + | 0.0254105i | ||||
\(311\) | 208.182 | + | 151.253i | 0.669396 | + | 0.486345i | 0.869823 | − | 0.493364i | \(-0.164233\pi\) |
−0.200427 | + | 0.979709i | \(0.564233\pi\) | |||||||
\(312\) | −716.094 | − | 113.418i | −2.29517 | − | 0.363520i | ||||
\(313\) | −75.0087 | + | 473.586i | −0.239644 | + | 1.51306i | 0.515154 | + | 0.857098i | \(0.327735\pi\) |
−0.754798 | + | 0.655957i | \(0.772265\pi\) | |||||||
\(314\) | −109.187 | + | 150.283i | −0.347729 | + | 0.478608i | ||||
\(315\) | −98.8350 | + | 298.369i | −0.313762 | + | 0.947204i | ||||
\(316\) | −0.235832 | + | 0.171342i | −0.000746303 | + | 0.000542221i | ||||
\(317\) | −175.952 | + | 89.6519i | −0.555053 | + | 0.282814i | −0.708933 | − | 0.705276i | \(-0.750823\pi\) |
0.153880 | + | 0.988090i | \(0.450823\pi\) | |||||||
\(318\) | 525.869 | − | 525.869i | 1.65368 | − | 1.65368i | ||||
\(319\) | 99.1295 | + | 32.2091i | 0.310751 | + | 0.100969i | ||||
\(320\) | −227.984 | + | 225.392i | −0.712449 | + | 0.704351i | ||||
\(321\) | −3.67283 | − | 11.3038i | −0.0114418 | − | 0.0352143i | ||||
\(322\) | −69.4119 | + | 136.228i | −0.215565 | + | 0.423070i | ||||
\(323\) | −121.367 | + | 19.2226i | −0.375749 | + | 0.0595128i | ||||
\(324\) | − | 0.401295i | − | 0.00123857i | ||||||
\(325\) | −232.827 | + | 444.319i | −0.716392 | + | 1.36714i | ||||
\(326\) | 254.462 | 0.780559 | ||||||||
\(327\) | 93.3250 | + | 589.231i | 0.285397 | + | 1.80193i | ||||
\(328\) | −256.060 | − | 130.469i | −0.780671 | − | 0.397772i | ||||
\(329\) | −222.596 | + | 72.3257i | −0.676582 | + | 0.219835i | ||||
\(330\) | 136.238 | − | 68.4385i | 0.412841 | − | 0.207389i | ||||
\(331\) | −91.8385 | + | 282.650i | −0.277458 | + | 0.853927i | 0.711101 | + | 0.703090i | \(0.248197\pi\) |
−0.988559 | + | 0.150837i | \(0.951803\pi\) | |||||||
\(332\) | −0.263343 | − | 0.263343i | −0.000793201 | − | 0.000793201i | ||||
\(333\) | −175.654 | − | 344.741i | −0.527491 | − | 1.03526i | ||||
\(334\) | 94.4803 | + | 130.041i | 0.282875 | + | 0.389344i | ||||
\(335\) | 362.743 | − | 115.574i | 1.08282 | − | 0.344998i | ||||
\(336\) | 322.548 | + | 234.345i | 0.959963 | + | 0.697454i | ||||
\(337\) | 316.947 | + | 50.1994i | 0.940495 | + | 0.148960i | 0.607814 | − | 0.794080i | \(-0.292047\pi\) |
0.332681 | + | 0.943039i | \(0.392047\pi\) | |||||||
\(338\) | −73.0199 | + | 461.030i | −0.216035 | + | 1.36399i | ||||
\(339\) | −118.556 | + | 163.178i | −0.349722 | + | 0.481351i | ||||
\(340\) | 0.598323 | − | 0.429504i | 0.00175977 | − | 0.00126325i | ||||
\(341\) | 6.86010 | − | 4.98416i | 0.0201176 | − | 0.0146163i | ||||
\(342\) | −125.061 | + | 63.7218i | −0.365675 | + | 0.186321i | ||||
\(343\) | 263.639 | − | 263.639i | 0.768627 | − | 0.768627i | ||||
\(344\) | −251.313 | − | 81.6564i | −0.730560 | − | 0.237373i | ||||
\(345\) | 277.238 | + | 143.262i | 0.803589 | + | 0.415251i | ||||
\(346\) | −105.482 | − | 324.642i | −0.304863 | − | 0.938270i | ||||
\(347\) | 207.859 | − | 407.947i | 0.599019 | − | 1.17564i | −0.370088 | − | 0.928997i | \(-0.620672\pi\) |
0.969106 | − | 0.246643i | \(-0.0793276\pi\) | |||||||
\(348\) | 1.01801 | − | 0.161237i | 0.00292532 | − | 0.000463325i | ||||
\(349\) | − | 275.249i | − | 0.788680i | −0.918965 | − | 0.394340i | \(-0.870973\pi\) | ||
0.918965 | − | 0.394340i | \(-0.129027\pi\) | |||||||
\(350\) | 225.420 | − | 159.872i | 0.644057 | − | 0.456778i | ||||
\(351\) | 213.945 | 0.609531 | ||||||||
\(352\) | 0.0627271 | + | 0.396043i | 0.000178202 | + | 0.00112512i | ||||
\(353\) | −365.927 | − | 186.449i | −1.03662 | − | 0.528184i | −0.149036 | − | 0.988832i | \(-0.547617\pi\) |
−0.887583 | + | 0.460648i | \(0.847617\pi\) | |||||||
\(354\) | −22.3996 | + | 7.27808i | −0.0632758 | + | 0.0205595i | ||||
\(355\) | 55.2999 | + | 362.549i | 0.155774 | + | 1.02127i | ||||
\(356\) | −0.162525 | + | 0.500201i | −0.000456531 | + | 0.00140506i | ||||
\(357\) | −350.884 | − | 350.884i | −0.982869 | − | 0.982869i | ||||
\(358\) | −238.757 | − | 468.587i | −0.666919 | − | 1.30890i | ||||
\(359\) | −80.6575 | − | 111.015i | −0.224673 | − | 0.309235i | 0.681768 | − | 0.731568i | \(-0.261211\pi\) |
−0.906441 | + | 0.422333i | \(0.861211\pi\) | |||||||
\(360\) | 269.504 | − | 366.516i | 0.748622 | − | 1.01810i | ||||
\(361\) | −261.137 | − | 189.727i | −0.723372 | − | 0.525561i | ||||
\(362\) | 271.116 | + | 42.9405i | 0.748938 | + | 0.118620i | ||||
\(363\) | −77.3426 | + | 488.322i | −0.213065 | + | 1.34524i | ||||
\(364\) | −0.483528 | + | 0.665519i | −0.00132837 | + | 0.00182835i | ||||
\(365\) | 261.515 | + | 1.49476i | 0.716478 | + | 0.00409522i | ||||
\(366\) | −196.967 | + | 143.105i | −0.538162 | + | 0.390997i | ||||
\(367\) | −468.126 | + | 238.522i | −1.27555 | + | 0.649924i | −0.954802 | − | 0.297242i | \(-0.903933\pi\) |
−0.320745 | + | 0.947166i | \(0.603933\pi\) | |||||||
\(368\) | 156.190 | − | 156.190i | 0.424430 | − | 0.424430i | ||||
\(369\) | 387.851 | + | 126.021i | 1.05109 | + | 0.341519i | ||||
\(370\) | −55.1370 | + | 335.692i | −0.149019 | + | 0.907274i | ||||
\(371\) | −141.004 | − | 433.966i | −0.380065 | − | 1.16972i | ||||
\(372\) | 0.0380676 | − | 0.0747119i | 0.000102332 | − | 0.000200839i | ||||
\(373\) | 171.238 | − | 27.1214i | 0.459083 | − | 0.0727116i | 0.0773903 | − | 0.997001i | \(-0.475341\pi\) |
0.381693 | + | 0.924289i | \(0.375341\pi\) | |||||||
\(374\) | 134.316i | 0.359132i | ||||||||
\(375\) | −323.676 | − | 461.957i | −0.863137 | − | 1.23188i | ||||
\(376\) | 338.765 | 0.900970 | ||||||||
\(377\) | −96.7442 | − | 610.819i | −0.256616 | − | 1.62021i | ||||
\(378\) | −105.021 | − | 53.5107i | −0.277833 | − | 0.141563i | ||||
\(379\) | 474.193 | − | 154.074i | 1.25117 | − | 0.406529i | 0.392829 | − | 0.919612i | \(-0.371497\pi\) |
0.858339 | + | 0.513083i | \(0.171497\pi\) | |||||||
\(380\) | −0.226034 | − | 0.0371259i | −0.000594827 | − | 9.76996e-5i | ||||
\(381\) | −237.422 | + | 730.711i | −0.623156 | + | 1.91788i | ||||
\(382\) | 268.074 | + | 268.074i | 0.701765 | + | 0.701765i | ||||
\(383\) | 46.0664 | + | 90.4105i | 0.120278 | + | 0.236059i | 0.943293 | − | 0.331960i | \(-0.107710\pi\) |
−0.823015 | + | 0.568019i | \(0.807710\pi\) | |||||||
\(384\) | −338.560 | − | 465.988i | −0.881667 | − | 1.21351i | ||||
\(385\) | 0.534668 | − | 93.5427i | 0.00138875 | − | 0.242968i | ||||
\(386\) | −105.906 | − | 76.9453i | −0.274368 | − | 0.199340i | ||||
\(387\) | 370.361 | + | 58.6595i | 0.957006 | + | 0.151575i | ||||
\(388\) | −0.00323899 | + | 0.0204502i | −8.34792e−6 | + | 5.27067e-5i | ||||
\(389\) | −40.2289 | + | 55.3703i | −0.103416 | + | 0.142340i | −0.857589 | − | 0.514336i | \(-0.828038\pi\) |
0.754172 | + | 0.656676i | \(0.228038\pi\) | |||||||
\(390\) | −728.785 | − | 535.885i | −1.86868 | − | 1.37406i | ||||
\(391\) | −222.418 | + | 161.596i | −0.568843 | + | 0.413289i | ||||
\(392\) | −131.234 | + | 66.8673i | −0.334782 | + | 0.170580i | ||||
\(393\) | −167.307 | + | 167.307i | −0.425716 | + | 0.425716i | ||||
\(394\) | 519.929 | + | 168.935i | 1.31962 | + | 0.428769i | ||||
\(395\) | −194.429 | + | 29.6564i | −0.492225 | + | 0.0750794i | ||||
\(396\) | −0.0879983 | − | 0.270831i | −0.000222218 | − | 0.000683916i | ||||
\(397\) | −44.2700 | + | 86.8847i | −0.111511 | + | 0.218853i | −0.940017 | − | 0.341127i | \(-0.889191\pi\) |
0.828506 | + | 0.559980i | \(0.189191\pi\) | |||||||
\(398\) | 391.242 | − | 61.9667i | 0.983021 | − | 0.155695i | ||||
\(399\) | 154.329i | 0.386790i | ||||||||
\(400\) | −381.102 | + | 119.029i | −0.952755 | + | 0.297572i | ||||
\(401\) | 145.737 | 0.363435 | 0.181717 | − | 0.983351i | \(-0.441834\pi\) | ||||
0.181717 | + | 0.983351i | \(0.441834\pi\) | |||||||
\(402\) | 107.400 | + | 678.096i | 0.267164 | + | 1.68681i | ||||
\(403\) | −44.8281 | − | 22.8410i | −0.111236 | − | 0.0566775i | ||||
\(404\) | −0.378922 | + | 0.123119i | −0.000937927 | + | 0.000304751i | ||||
\(405\) | 124.296 | − | 240.537i | 0.306905 | − | 0.593918i | ||||
\(406\) | −105.285 | + | 324.034i | −0.259323 | + | 0.798113i | ||||
\(407\) | 81.4239 | + | 81.4239i | 0.200059 | + | 0.200059i | ||||
\(408\) | 326.072 | + | 639.952i | 0.799196 | + | 1.56851i | ||||
\(409\) | 59.1584 | + | 81.4246i | 0.144642 | + | 0.199082i | 0.875191 | − | 0.483778i | \(-0.160736\pi\) |
−0.730549 | + | 0.682860i | \(0.760736\pi\) | |||||||
\(410\) | −209.098 | − | 291.285i | −0.509994 | − | 0.710451i | ||||
\(411\) | −185.958 | − | 135.106i | −0.452452 | − | 0.328726i | ||||
\(412\) | 0.860772 | + | 0.136333i | 0.00208925 | + | 0.000330905i | ||||
\(413\) | −2.26060 | + | 14.2728i | −0.00547360 | + | 0.0345590i | ||||
\(414\) | −184.583 | + | 254.056i | −0.445852 | + | 0.613663i | ||||
\(415\) | −76.2806 | − | 239.415i | −0.183809 | − | 0.576904i | ||||
\(416\) | 1.92476 | − | 1.39842i | 0.00462682 | − | 0.00336158i | ||||
\(417\) | 477.378 | − | 243.236i | 1.14479 | − | 0.583301i | ||||
\(418\) | 29.5380 | − | 29.5380i | 0.0706650 | − | 0.0706650i | ||||
\(419\) | 330.195 | + | 107.287i | 0.788054 | + | 0.256054i | 0.675275 | − | 0.737566i | \(-0.264025\pi\) |
0.112779 | + | 0.993620i | \(0.464025\pi\) | |||||||
\(420\) | −0.415234 | − | 0.826589i | −0.000988653 | − | 0.00196807i | ||||
\(421\) | −78.9442 | − | 242.965i | −0.187516 | − | 0.577115i | 0.812467 | − | 0.583008i | \(-0.198124\pi\) |
−0.999983 | + | 0.00589274i | \(0.998124\pi\) | |||||||
\(422\) | 341.176 | − | 669.596i | 0.808475 | − | 1.58672i | ||||
\(423\) | −474.805 | + | 75.2018i | −1.12247 | + | 0.177782i | ||||
\(424\) | 660.445i | 1.55765i | ||||||||
\(425\) | 491.669 | − | 72.1214i | 1.15687 | − | 0.169697i | ||||
\(426\) | −661.361 | −1.55249 | ||||||||
\(427\) | 23.3682 | + | 147.541i | 0.0547264 | + | 0.345529i | ||||
\(428\) | 0.0173916 | + | 0.00886145i | 4.06345e−5 | + | 2.07043e-5i | ||||
\(429\) | −291.212 | + | 94.6204i | −0.678815 | + | 0.220560i | ||||
\(430\) | −231.794 | − | 234.459i | −0.539056 | − | 0.545254i | ||||
\(431\) | 69.5257 | − | 213.978i | 0.161312 | − | 0.496469i | −0.837433 | − | 0.546540i | \(-0.815945\pi\) |
0.998746 | + | 0.0500709i | \(0.0159447\pi\) | |||||||
\(432\) | 120.410 | + | 120.410i | 0.278726 | + | 0.278726i | ||||
\(433\) | 17.7029 | + | 34.7439i | 0.0408843 | + | 0.0802399i | 0.910545 | − | 0.413410i | \(-0.135662\pi\) |
−0.869661 | + | 0.493650i | \(0.835662\pi\) | |||||||
\(434\) | 16.2922 | + | 22.4243i | 0.0375396 | + | 0.0516688i | ||||
\(435\) | 660.138 | + | 218.671i | 1.51756 | + | 0.502692i | ||||
\(436\) | −0.792616 | − | 0.575870i | −0.00181793 | − | 0.00132080i | ||||
\(437\) | 84.4503 | + | 13.3756i | 0.193250 | + | 0.0306078i | ||||
\(438\) | −73.7755 | + | 465.800i | −0.168437 | + | 1.06347i | ||||
\(439\) | 134.972 | − | 185.773i | 0.307454 | − | 0.423174i | −0.627131 | − | 0.778914i | \(-0.715771\pi\) |
0.934585 | + | 0.355740i | \(0.115771\pi\) | |||||||
\(440\) | −42.5749 | + | 128.528i | −0.0967610 | + | 0.292108i | ||||
\(441\) | 169.092 | − | 122.852i | 0.383428 | − | 0.278577i | ||||
\(442\) | 710.073 | − | 361.800i | 1.60650 | − | 0.818553i | ||||
\(443\) | 514.933 | − | 514.933i | 1.16238 | − | 1.16238i | 0.178423 | − | 0.983954i | \(-0.442900\pi\) |
0.983954 | − | 0.178423i | \(-0.0570995\pi\) | |||||||
\(444\) | 1.08295 | + | 0.351873i | 0.00243908 | + | 0.000792506i | ||||
\(445\) | −252.349 | + | 249.481i | −0.567077 | + | 0.560631i | ||||
\(446\) | 240.880 | + | 741.351i | 0.540089 | + | 1.66222i | ||||
\(447\) | −131.236 | + | 257.564i | −0.293592 | + | 0.576206i | ||||
\(448\) | −350.352 | + | 55.4903i | −0.782035 | + | 0.123862i | ||||
\(449\) | 747.530i | 1.66488i | 0.554117 | + | 0.832439i | \(0.313056\pi\) | ||||
−0.554117 | + | 0.832439i | \(0.686944\pi\) | |||||||
\(450\) | 508.664 | − | 251.895i | 1.13036 | − | 0.559767i | ||||
\(451\) | −121.371 | −0.269114 | ||||||||
\(452\) | −0.0518174 | − | 0.327162i | −0.000114640 | − | 0.000723811i | ||||
\(453\) | −914.896 | − | 466.163i | −2.01964 | − | 1.02906i | ||||
\(454\) | −801.526 | + | 260.432i | −1.76548 | + | 0.573638i | ||||
\(455\) | −495.963 | + | 249.146i | −1.09003 | + | 0.547573i | ||||
\(456\) | 69.0269 | − | 212.443i | 0.151375 | − | 0.465883i | ||||
\(457\) | −131.867 | − | 131.867i | −0.288549 | − | 0.288549i | 0.547957 | − | 0.836506i | \(-0.315406\pi\) |
−0.836506 | + | 0.547957i | \(0.815406\pi\) | |||||||
\(458\) | −260.205 | − | 510.681i | −0.568133 | − | 1.11502i | ||||
\(459\) | −124.577 | − | 171.465i | −0.271409 | − | 0.373563i | ||||
\(460\) | −0.488305 | + | 0.155580i | −0.00106153 | + | 0.000338217i | ||||
\(461\) | −146.995 | − | 106.798i | −0.318861 | − | 0.231666i | 0.416828 | − | 0.908985i | \(-0.363142\pi\) |
−0.735689 | + | 0.677319i | \(0.763142\pi\) | |||||||
\(462\) | 166.615 | + | 26.3892i | 0.360638 | + | 0.0571195i | ||||
\(463\) | 70.5369 | − | 445.353i | 0.152348 | − | 0.961885i | −0.786510 | − | 0.617578i | \(-0.788114\pi\) |
0.938857 | − | 0.344307i | \(-0.111886\pi\) | |||||||
\(464\) | 289.324 | − | 398.221i | 0.623544 | − | 0.858234i | ||||
\(465\) | 45.9589 | − | 32.9914i | 0.0988364 | − | 0.0709493i | ||||
\(466\) | 312.891 | − | 227.329i | 0.671440 | − | 0.487830i | ||||
\(467\) | −340.453 | + | 173.469i | −0.729021 | + | 0.371455i | −0.778772 | − | 0.627307i | \(-0.784157\pi\) |
0.0497511 | + | 0.998762i | \(0.484157\pi\) | |||||||
\(468\) | −1.19474 | + | 1.19474i | −0.00255286 | + | 0.00255286i | ||||
\(469\) | 400.621 | + | 130.170i | 0.854203 | + | 0.277547i | ||||
\(470\) | 375.501 | + | 194.039i | 0.798939 | + | 0.412848i | ||||
\(471\) | 129.636 | + | 398.980i | 0.275236 | + | 0.847091i | ||||
\(472\) | 9.49566 | − | 18.6363i | 0.0201179 | − | 0.0394837i | ||||
\(473\) | −110.225 | + | 17.4579i | −0.233034 | + | 0.0369089i | ||||
\(474\) | − | 354.676i | − | 0.748262i | ||||||
\(475\) | −123.986 | − | 92.2647i | −0.261023 | − | 0.194241i | ||||
\(476\) | 0.814927 | 0.00171203 | ||||||||
\(477\) | −146.611 | − | 925.666i | −0.307361 | − | 1.94060i | ||||
\(478\) | 106.007 | + | 54.0135i | 0.221773 | + | 0.112999i | ||||
\(479\) | −333.071 | + | 108.221i | −0.695347 | + | 0.225932i | −0.635302 | − | 0.772264i | \(-0.719124\pi\) |
−0.0600450 | + | 0.998196i | \(0.519124\pi\) | |||||||
\(480\) | 0.403396 | + | 2.64469i | 0.000840408 | + | 0.00550977i | ||||
\(481\) | 211.128 | − | 649.784i | 0.438935 | − | 1.35090i | ||||
\(482\) | −630.515 | − | 630.515i | −1.30812 | − | 1.30812i | ||||
\(483\) | 156.757 | + | 307.652i | 0.324548 | + | 0.636961i | ||||
\(484\) | −0.477249 | − | 0.656877i | −0.000986052 | − | 0.00135718i | ||||
\(485\) | −8.27566 | + | 11.2546i | −0.0170632 | + | 0.0232054i | ||||
\(486\) | 550.139 | + | 399.699i | 1.13197 | + | 0.822427i | ||||
\(487\) | −798.213 | − | 126.425i | −1.63904 | − | 0.259599i | −0.732206 | − | 0.681084i | \(-0.761509\pi\) |
−0.906835 | + | 0.421485i | \(0.861509\pi\) | |||||||
\(488\) | 33.8231 | − | 213.550i | 0.0693095 | − | 0.437603i | ||||
\(489\) | 337.780 | − | 464.915i | 0.690757 | − | 0.950746i | ||||
\(490\) | −183.766 | − | 1.05037i | −0.375033 | − | 0.00214360i | ||||
\(491\) | −426.270 | + | 309.703i | −0.868166 | + | 0.630760i | −0.930094 | − | 0.367321i | \(-0.880275\pi\) |
0.0619282 | + | 0.998081i | \(0.480275\pi\) | |||||||
\(492\) | −1.06938 | + | 0.544874i | −0.00217353 | + | 0.00110747i | ||||
\(493\) | −433.205 | + | 433.205i | −0.878713 | + | 0.878713i | ||||
\(494\) | −235.721 | − | 76.5903i | −0.477168 | − | 0.155041i | ||||
\(495\) | 31.1404 | − | 189.593i | 0.0629099 | − | 0.383016i | ||||
\(496\) | −12.3744 | − | 38.0846i | −0.0249484 | − | 0.0767834i | ||||
\(497\) | −184.222 | + | 361.556i | −0.370668 | + | 0.727477i | ||||
\(498\) | 447.552 | − | 70.8853i | 0.898699 | − | 0.142340i | ||||
\(499\) | − | 568.734i | − | 1.13975i | −0.821732 | − | 0.569874i | \(-0.806992\pi\) | ||
0.821732 | − | 0.569874i | \(-0.193008\pi\) | |||||||
\(500\) | 0.912315 | + | 0.160578i | 0.00182463 | + | 0.000321155i | ||||
\(501\) | 363.007 | 0.724565 | ||||||||
\(502\) | 85.9373 | + | 542.587i | 0.171190 | + | 1.08085i | ||||
\(503\) | 165.934 | + | 84.5473i | 0.329888 | + | 0.168086i | 0.611087 | − | 0.791563i | \(-0.290732\pi\) |
−0.281200 | + | 0.959649i | \(0.590732\pi\) | |||||||
\(504\) | 478.729 | − | 155.549i | 0.949859 | − | 0.308628i | ||||
\(505\) | −265.261 | − | 43.5689i | −0.525270 | − | 0.0862750i | ||||
\(506\) | 28.8808 | − | 88.8860i | 0.0570767 | − | 0.175664i | ||||
\(507\) | 745.395 | + | 745.395i | 1.47021 | + | 1.47021i | ||||
\(508\) | −0.572830 | − | 1.12424i | −0.00112762 | − | 0.00221308i | ||||
\(509\) | 321.853 | + | 442.992i | 0.632324 | + | 0.870319i | 0.998177 | − | 0.0603538i | \(-0.0192229\pi\) |
−0.365854 | + | 0.930672i | \(0.619223\pi\) | |||||||
\(510\) | −5.12201 | + | 896.119i | −0.0100432 | + | 1.75710i | ||||
\(511\) | 234.096 | + | 170.081i | 0.458114 | + | 0.332839i | ||||
\(512\) | 507.095 | + | 80.3159i | 0.990419 | + | 0.156867i | ||||
\(513\) | −10.3115 | + | 65.1041i | −0.0201003 | + | 0.126909i | ||||
\(514\) | 265.991 | − | 366.105i | 0.517492 | − | 0.712266i | ||||
\(515\) | 473.720 | + | 348.332i | 0.919845 | + | 0.676373i | ||||
\(516\) | −0.892800 | + | 0.648657i | −0.00173023 | + | 0.00125709i | ||||
\(517\) | 127.477 | − | 64.9526i | 0.246570 | − | 0.125634i | ||||
\(518\) | −266.158 | + | 266.158i | −0.513818 | + | 0.513818i | ||||
\(519\) | −733.156 | − | 238.217i | −1.41263 | − | 0.458992i | ||||
\(520\) | 794.157 | − | 121.133i | 1.52723 | − | 0.232949i | ||||
\(521\) | 140.714 | + | 433.072i | 0.270084 | + | 0.831233i | 0.990478 | + | 0.137668i | \(0.0439607\pi\) |
−0.720395 | + | 0.693564i | \(0.756039\pi\) | |||||||
\(522\) | −317.699 | + | 623.520i | −0.608619 | + | 1.19448i | ||||
\(523\) | 946.845 | − | 149.965i | 1.81041 | − | 0.286741i | 0.842622 | − | 0.538506i | \(-0.181011\pi\) |
0.967788 | + | 0.251765i | \(0.0810109\pi\) | |||||||
\(524\) | − | 0.388569i | − | 0.000741544i | ||||||
\(525\) | 7.13434 | − | 624.072i | 0.0135892 | − | 1.18871i | ||||
\(526\) | −836.836 | −1.59094 | ||||||||
\(527\) | 7.79682 | + | 49.2272i | 0.0147947 | + | 0.0934103i | ||||
\(528\) | −217.149 | − | 110.643i | −0.411266 | − | 0.209551i | ||||
\(529\) | −321.173 | + | 104.355i | −0.607132 | + | 0.197269i | ||||
\(530\) | −378.292 | + | 732.066i | −0.713759 | + | 1.38126i | ||||
\(531\) | −9.17188 | + | 28.2281i | −0.0172728 | + | 0.0531604i | ||||
\(532\) | −0.179214 | − | 0.179214i | −0.000336869 | − | 0.000336869i | ||||
\(533\) | 326.931 | + | 641.638i | 0.613379 | + | 1.20382i | ||||
\(534\) | −376.135 | − | 517.706i | −0.704373 | − | 0.969487i | ||||
\(535\) | 7.67980 | + | 10.6984i | 0.0143548 | + | 0.0199970i | ||||
\(536\) | −493.257 | − | 358.372i | −0.920255 | − | 0.668604i | ||||
\(537\) | −1173.06 | − | 185.795i | −2.18448 | − | 0.345987i | ||||
\(538\) | −3.82299 | + | 24.1374i | −0.00710593 | + | 0.0448651i | ||||
\(539\) | −36.5626 | + | 50.3242i | −0.0678342 | + | 0.0933658i | ||||
\(540\) | −0.119939 | − | 0.376442i | −0.000222109 | − | 0.000697115i | ||||
\(541\) | 134.635 | − | 97.8182i | 0.248864 | − | 0.180810i | −0.456359 | − | 0.889796i | \(-0.650847\pi\) |
0.705223 | + | 0.708986i | \(0.250847\pi\) | |||||||
\(542\) | −932.506 | + | 475.136i | −1.72049 | + | 0.876634i | ||||
\(543\) | 438.341 | − | 438.341i | 0.807258 | − | 0.807258i | ||||
\(544\) | −2.24151 | − | 0.728311i | −0.00412043 | − | 0.00133881i | ||||
\(545\) | −296.726 | − | 590.680i | −0.544452 | − | 1.08382i | ||||
\(546\) | −309.295 | − | 951.911i | −0.566474 | − | 1.74343i | ||||
\(547\) | −107.533 | + | 211.046i | −0.196587 | + | 0.385824i | −0.968166 | − | 0.250310i | \(-0.919467\pi\) |
0.771579 | + | 0.636134i | \(0.219467\pi\) | |||||||
\(548\) | 0.372835 | − | 0.0590513i | 0.000680356 | − | 0.000107758i | ||||
\(549\) | 306.816i | 0.558863i | ||||||||
\(550\) | −120.810 | + | 118.079i | −0.219655 | + | 0.214690i | ||||
\(551\) | 190.536 | 0.345801 | ||||||||
\(552\) | −78.1807 | − | 493.613i | −0.141632 | − | 0.894227i | ||||
\(553\) | −193.896 | − | 98.7951i | −0.350626 | − | 0.178653i | ||||
\(554\) | 829.567 | − | 269.543i | 1.49741 | − | 0.486539i | ||||
\(555\) | 540.134 | + | 546.344i | 0.973215 | + | 0.984404i | ||||
\(556\) | −0.271897 | + | 0.836812i | −0.000489023 | + | 0.00150506i | ||||
\(557\) | 443.386 | + | 443.386i | 0.796026 | + | 0.796026i | 0.982466 | − | 0.186441i | \(-0.0596952\pi\) |
−0.186441 | + | 0.982466i | \(0.559695\pi\) | |||||||
\(558\) | 25.8460 | + | 50.7255i | 0.0463189 | + | 0.0909060i | ||||
\(559\) | 389.202 | + | 535.691i | 0.696247 | + | 0.958302i | ||||
\(560\) | −419.352 | − | 138.911i | −0.748843 | − | 0.248055i | ||||
\(561\) | 245.401 | + | 178.294i | 0.437435 | + | 0.317815i | ||||
\(562\) | −203.258 | − | 32.1929i | −0.361669 | − | 0.0572828i | ||||
\(563\) | −78.6829 | + | 496.784i | −0.139757 | + | 0.882388i | 0.813794 | + | 0.581154i | \(0.197399\pi\) |
−0.953550 | + | 0.301234i | \(0.902601\pi\) | |||||||
\(564\) | 0.831582 | − | 1.14457i | 0.00147444 | − | 0.00202939i | ||||
\(565\) | 70.2753 | − | 212.151i | 0.124381 | − | 0.375489i | ||||
\(566\) | 342.018 | − | 248.490i | 0.604272 | − | 0.439029i | ||||
\(567\) | 266.925 | − | 136.005i | 0.470767 | − | 0.239868i | ||||
\(568\) | 415.305 | − | 415.305i | 0.731172 | − | 0.731172i | ||||
\(569\) | −780.470 | − | 253.590i | −1.37165 | − | 0.445677i | −0.471736 | − | 0.881740i | \(-0.656373\pi\) |
−0.899916 | + | 0.436063i | \(0.856373\pi\) | |||||||
\(570\) | 198.196 | − | 195.943i | 0.347712 | − | 0.343760i | ||||
\(571\) | 119.477 | + | 367.712i | 0.209241 | + | 0.643979i | 0.999512 | + | 0.0312214i | \(0.00993968\pi\) |
−0.790271 | + | 0.612757i | \(0.790060\pi\) | |||||||
\(572\) | 0.228291 | − | 0.448047i | 0.000399110 | − | 0.000783298i | ||||
\(573\) | 845.634 | − | 133.935i | 1.47580 | − | 0.233744i | ||||
\(574\) | − | 396.735i | − | 0.691176i | ||||||
\(575\) | −340.879 | − | 57.9919i | −0.592834 | − | 0.100855i | ||||
\(576\) | −728.567 | −1.26487 | ||||||||
\(577\) | 24.2091 | + | 152.850i | 0.0419568 | + | 0.264905i | 0.999745 | − | 0.0225689i | \(-0.00718452\pi\) |
−0.957788 | + | 0.287474i | \(0.907185\pi\) | |||||||
\(578\) | −188.903 | − | 96.2510i | −0.326822 | − | 0.166524i | ||||
\(579\) | −281.165 | + | 91.3562i | −0.485605 | + | 0.157783i | ||||
\(580\) | −1.02052 | + | 0.512653i | −0.00175951 | + | 0.000883884i | ||||
\(581\) | 85.9137 | − | 264.415i | 0.147872 | − | 0.455104i | ||||
\(582\) | −17.8135 | − | 17.8135i | −0.0306074 | − | 0.0306074i | ||||
\(583\) | 126.630 | + | 248.525i | 0.217204 | + | 0.426286i | ||||
\(584\) | −246.174 | − | 338.830i | −0.421531 | − | 0.580188i | ||||
\(585\) | −1086.18 | + | 346.071i | −1.85672 | + | 0.591575i | ||||
\(586\) | 439.226 | + | 319.117i | 0.749533 | + | 0.544568i | ||||
\(587\) | 587.344 | + | 93.0261i | 1.00059 | + | 0.158477i | 0.635174 | − | 0.772369i | \(-0.280928\pi\) |
0.365412 | + | 0.930846i | \(0.380928\pi\) | |||||||
\(588\) | −0.0962249 | + | 0.607540i | −0.000163648 | + | 0.00103323i | ||||
\(589\) | 9.11115 | − | 12.5404i | 0.0154688 | − | 0.0212910i | ||||
\(590\) | 21.2000 | − | 15.2183i | 0.0359321 | − | 0.0257937i | ||||
\(591\) | 998.821 | − | 725.686i | 1.69005 | − | 1.22789i | ||||
\(592\) | 484.527 | − | 246.879i | 0.818457 | − | 0.417025i | ||||
\(593\) | −151.299 | + | 151.299i | −0.255142 | + | 0.255142i | −0.823075 | − | 0.567933i | \(-0.807743\pi\) |
0.567933 | + | 0.823075i | \(0.307743\pi\) | |||||||
\(594\) | 68.5236 | + | 22.2647i | 0.115360 | + | 0.0374826i | ||||
\(595\) | 488.468 | + | 252.414i | 0.820955 | + | 0.424225i | ||||
\(596\) | −0.146699 | − | 0.451493i | −0.000246139 | − | 0.000757539i | ||||
\(597\) | 406.130 | − | 797.075i | 0.680285 | − | 1.33513i | ||||
\(598\) | −547.700 | + | 86.7472i | −0.915886 | + | 0.145062i | ||||
\(599\) | − | 471.606i | − | 0.787322i | −0.919256 | − | 0.393661i | \(-0.871208\pi\) | ||
0.919256 | − | 0.393661i | \(-0.128792\pi\) | |||||||
\(600\) | −288.950 | + | 855.880i | −0.481583 | + | 1.42647i | ||||
\(601\) | 12.2283 | 0.0203466 | 0.0101733 | − | 0.999948i | \(-0.496762\pi\) | ||||
0.0101733 | + | 0.999948i | \(0.496762\pi\) | |||||||
\(602\) | −57.0664 | − | 360.303i | −0.0947946 | − | 0.598510i | ||||
\(603\) | 770.893 | + | 392.789i | 1.27843 | + | 0.651392i | ||||
\(604\) | 1.60375 | − | 0.521091i | 0.00265522 | − | 0.000862733i | ||||
\(605\) | −82.6037 | − | 541.555i | −0.136535 | − | 0.895132i | ||||
\(606\) | 149.801 | − | 461.039i | 0.247196 | − | 0.760790i | ||||
\(607\) | −786.089 | − | 786.089i | −1.29504 | − | 1.29504i | −0.931629 | − | 0.363411i | \(-0.881612\pi\) |
−0.363411 | − | 0.931629i | \(-0.618388\pi\) | |||||||
\(608\) | 0.332775 | + | 0.653108i | 0.000547327 | + | 0.00107419i | ||||
\(609\) | 452.267 | + | 622.492i | 0.742639 | + | 1.02215i | ||||
\(610\) | 159.809 | − | 217.335i | 0.261982 | − | 0.356287i | ||||
\(611\) | −686.758 | − | 498.959i | −1.12399 | − | 0.816627i | ||||
\(612\) | 1.65320 | + | 0.261840i | 0.00270130 | + | 0.000427844i | ||||
\(613\) | −9.63893 | + | 60.8578i | −0.0157242 | + | 0.0992786i | −0.994302 | − | 0.106597i | \(-0.966004\pi\) |
0.978578 | + | 0.205876i | \(0.0660044\pi\) | |||||||
\(614\) | −62.7656 | + | 86.3895i | −0.102224 | + | 0.140700i | ||||
\(615\) | −809.753 | − | 4.62836i | −1.31667 | − | 0.00752579i | ||||
\(616\) | −121.198 | + | 88.0555i | −0.196750 | + | 0.142947i | ||||
\(617\) | 139.850 | − | 71.2571i | 0.226661 | − | 0.115490i | −0.336973 | − | 0.941514i | \(-0.609403\pi\) |
0.563634 | + | 0.826025i | \(0.309403\pi\) | |||||||
\(618\) | −749.792 | + | 749.792i | −1.21326 | + | 1.21326i | ||||
\(619\) | −972.585 | − | 316.012i | −1.57122 | − | 0.510520i | −0.611444 | − | 0.791287i | \(-0.709411\pi\) |
−0.959776 | + | 0.280767i | \(0.909411\pi\) | |||||||
\(620\) | −0.0150585 | + | 0.0916809i | −2.42879e−5 | + | 0.000147872i | ||||
\(621\) | 45.5724 | + | 140.257i | 0.0733855 | + | 0.225857i | ||||
\(622\) | 233.432 | − | 458.136i | 0.375292 | − | 0.736552i | ||||
\(623\) | −387.795 | + | 61.4207i | −0.622463 | + | 0.0985885i | ||||
\(624\) | 1446.01i | 2.31733i | ||||||||
\(625\) | 497.105 | + | 378.829i | 0.795368 | + | 0.606126i | ||||
\(626\) | 958.090 | 1.53050 | ||||||||
\(627\) | −14.7578 | − | 93.1768i | −0.0235371 | − | 0.148607i | ||||
\(628\) | −0.613854 | − | 0.312774i | −0.000977475 | − | 0.000498048i | ||||
\(629\) | −643.703 | + | 209.152i | −1.02338 | + | 0.332515i | ||||
\(630\) | 619.739 | + | 101.792i | 0.983713 | + | 0.161574i | ||||
\(631\) | 80.5107 | − | 247.786i | 0.127592 | − | 0.392688i | −0.866772 | − | 0.498704i | \(-0.833809\pi\) |
0.994364 | + | 0.106016i | \(0.0338094\pi\) | |||||||
\(632\) | 222.721 | + | 222.721i | 0.352407 | + | 0.352407i | ||||
\(633\) | −770.498 | − | 1512.19i | −1.21722 | − | 2.38892i | ||||
\(634\) | 231.931 | + | 319.226i | 0.365822 | + | 0.503510i | ||||
\(635\) | 4.86583 | − | 851.299i | 0.00766272 | − | 1.34063i | ||||
\(636\) | 2.23143 | + | 1.62123i | 0.00350853 | + | 0.00254910i | ||||
\(637\) | 364.531 | + | 57.7361i | 0.572263 | + | 0.0906375i | ||||
\(638\) | 32.5804 | − | 205.704i | 0.0510664 | − | 0.322421i | ||||
\(639\) | −489.890 | + | 674.276i | −0.766652 | + | 1.05521i | ||||
\(640\) | 514.175 | + | 378.079i | 0.803398 | + | 0.590748i | ||||
\(641\) | −947.896 | + | 688.686i | −1.47878 | + | 1.07439i | −0.500828 | + | 0.865547i | \(0.666971\pi\) |
−0.977948 | + | 0.208847i | \(0.933029\pi\) | |||||||
\(642\) | −21.1605 | + | 10.7818i | −0.0329603 | + | 0.0167941i | ||||
\(643\) | −268.108 | + | 268.108i | −0.416965 | + | 0.416965i | −0.884156 | − | 0.467191i | \(-0.845266\pi\) |
0.467191 | + | 0.884156i | \(0.345266\pi\) | |||||||
\(644\) | −0.539294 | − | 0.175227i | −0.000837413 | − | 0.000272092i | ||||
\(645\) | −736.059 | + | 112.271i | −1.14118 | + | 0.174064i | ||||
\(646\) | 75.8735 | + | 233.515i | 0.117451 | + | 0.361478i | ||||
\(647\) | −540.483 | + | 1060.76i | −0.835368 | + | 1.63950i | −0.0685400 | + | 0.997648i | \(0.521834\pi\) |
−0.766828 | + | 0.641853i | \(0.778166\pi\) | |||||||
\(648\) | −428.268 | + | 67.8310i | −0.660907 | + | 0.104677i | ||||
\(649\) | − | 8.83345i | − | 0.0136109i | ||||||
\(650\) | 949.661 | + | 320.611i | 1.46102 | + | 0.493247i | ||||
\(651\) | 62.5969 | 0.0961550 | ||||||||
\(652\) | 0.147635 | + | 0.932128i | 0.000226433 | + | 0.00142964i | ||||
\(653\) | 402.175 | + | 204.918i | 0.615888 | + | 0.313810i | 0.733958 | − | 0.679195i | \(-0.237671\pi\) |
−0.118070 | + | 0.993005i | \(0.537671\pi\) | |||||||
\(654\) | 1133.70 | − | 368.362i | 1.73349 | − | 0.563245i | ||||
\(655\) | 120.355 | − | 232.909i | 0.183747 | − | 0.355586i | ||||
\(656\) | −177.119 | + | 545.117i | −0.269999 | + | 0.830971i | ||||
\(657\) | 420.249 | + | 420.249i | 0.639648 | + | 0.639648i | ||||
\(658\) | 212.317 | + | 416.695i | 0.322670 | + | 0.633275i | ||||
\(659\) | 190.013 | + | 261.531i | 0.288336 | + | 0.396860i | 0.928473 | − | 0.371401i | \(-0.121122\pi\) |
−0.640137 | + | 0.768261i | \(0.721122\pi\) | |||||||
\(660\) | 0.329742 | + | 0.459349i | 0.000499609 | + | 0.000695984i | ||||
\(661\) | 346.646 | + | 251.853i | 0.524427 | + | 0.381018i | 0.818269 | − | 0.574836i | \(-0.194934\pi\) |
−0.293842 | + | 0.955854i | \(0.594934\pi\) | |||||||
\(662\) | 586.529 | + | 92.8971i | 0.885996 | + | 0.140328i | ||||
\(663\) | 281.545 | − | 1777.60i | 0.424652 | − | 2.68115i | ||||
\(664\) | −236.530 | + | 325.556i | −0.356220 | + | 0.490295i | ||||
\(665\) | −51.9118 | − | 162.931i | −0.0780628 | − | 0.245009i | ||||
\(666\) | −625.457 | + | 454.421i | −0.939124 | + | 0.682314i | ||||
\(667\) | 379.831 | − | 193.533i | 0.569462 | − | 0.290155i | ||||
\(668\) | −0.421541 | + | 0.421541i | −0.000631049 | + | 0.000631049i | ||||
\(669\) | 1674.24 | + | 543.992i | 2.50259 | + | 0.813142i | ||||
\(670\) | −341.477 | − | 679.764i | −0.509668 | − | 1.01457i | ||||
\(671\) | −28.2173 | − | 86.8438i | −0.0420525 | − | 0.129424i | ||||
\(672\) | −1.34384 | + | 2.63744i | −0.00199977 | + | 0.00392477i | ||||
\(673\) | −326.867 | + | 51.7706i | −0.485686 | + | 0.0769252i | −0.394476 | − | 0.918906i | \(-0.629074\pi\) |
−0.0912108 | + | 0.995832i | \(0.529074\pi\) | |||||||
\(674\) | − | 641.200i | − | 0.951336i | ||||||
\(675\) | 44.7069 | − | 262.789i | 0.0662324 | − | 0.389318i | ||||
\(676\) | −1.73118 | −0.00256091 | ||||||||
\(677\) | 163.559 | + | 1032.67i | 0.241593 | + | 1.52536i | 0.748369 | + | 0.663282i | \(0.230837\pi\) |
−0.506776 | + | 0.862078i | \(0.669163\pi\) | |||||||
\(678\) | 359.097 | + | 182.969i | 0.529642 | + | 0.269866i | ||||
\(679\) | −14.7004 | + | 4.77643i | −0.0216500 | + | 0.00703451i | ||||
\(680\) | −559.507 | − | 565.939i | −0.822804 | − | 0.832264i | ||||
\(681\) | −588.147 | + | 1810.13i | −0.863652 | + | 2.65805i | ||||
\(682\) | −11.9808 | − | 11.9808i | −0.0175671 | − | 0.0175671i | ||||
\(683\) | −76.1595 | − | 149.471i | −0.111507 | − | 0.218845i | 0.828508 | − | 0.559977i | \(-0.189190\pi\) |
−0.940016 | + | 0.341131i | \(0.889190\pi\) | |||||||
\(684\) | −0.305979 | − | 0.421144i | −0.000447338 | − | 0.000615708i | ||||
\(685\) | 241.768 | + | 80.0858i | 0.352946 | + | 0.116914i | ||||
\(686\) | −602.712 | − | 437.896i | −0.878588 | − | 0.638332i | ||||
\(687\) | −1278.44 | − | 202.485i | −1.86091 | − | 0.294738i | ||||
\(688\) | −82.4447 | + | 520.535i | −0.119832 | + | 0.756592i | ||||
\(689\) | 972.756 | − | 1338.88i | 1.41184 | − | 1.94323i | ||||
\(690\) | 196.075 | − | 591.923i | 0.284166 | − | 0.857859i | ||||
\(691\) | −159.959 | + | 116.217i | −0.231489 | + | 0.168187i | −0.697483 | − | 0.716601i | \(-0.745697\pi\) |
0.465994 | + | 0.884788i | \(0.345697\pi\) | |||||||
\(692\) | 1.12801 | − | 0.574747i | 0.00163007 | − | 0.000830560i | ||||
\(693\) | 150.321 | − | 150.321i | 0.216914 | − | 0.216914i | ||||
\(694\) | −870.075 | − | 282.704i | −1.25371 | − | 0.407355i | ||||
\(695\) | −422.168 | + | 417.369i | −0.607436 | + | 0.600531i | ||||
\(696\) | −344.149 | − | 1059.18i | −0.494467 | − | 1.52181i | ||||
\(697\) | 323.871 | − | 635.633i | 0.464665 | − | 0.911956i | ||||
\(698\) | −543.217 | + | 86.0371i | −0.778248 | + | 0.123262i | ||||
\(699\) | − | 873.430i | − | 1.24954i | ||||||
\(700\) | 0.716418 | + | 0.732987i | 0.00102345 | + | 0.00104712i | ||||
\(701\) | 317.355 | 0.452718 | 0.226359 | − | 0.974044i | \(-0.427318\pi\) | ||||
0.226359 | + | 0.974044i | \(0.427318\pi\) | |||||||
\(702\) | −66.8748 | − | 422.231i | −0.0952633 | − | 0.601468i | ||||
\(703\) | 187.555 | + | 95.5642i | 0.266793 | + | 0.135938i | ||||
\(704\) | 206.220 | − | 67.0049i | 0.292926 | − | 0.0951774i | ||||
\(705\) | 852.969 | − | 428.486i | 1.20989 | − | 0.607782i | ||||
\(706\) | −253.584 | + | 780.453i | −0.359185 | + | 1.10546i | ||||
\(707\) | −210.316 | − | 210.316i | −0.297477 | − | 0.297477i | ||||
\(708\) | −0.0396564 | − | 0.0778301i | −5.60119e−5 | − | 0.000109930i | ||||
\(709\) | −600.695 | − | 826.785i | −0.847242 | − | 1.16613i | −0.984464 | − | 0.175588i | \(-0.943817\pi\) |
0.137221 | − | 0.990540i | \(-0.456183\pi\) | |||||||
\(710\) | 698.222 | − | 222.462i | 0.983412 | − | 0.313327i | ||||
\(711\) | −361.603 | − | 262.720i | −0.508583 | − | 0.369507i | ||||
\(712\) | 561.293 | + | 88.9001i | 0.788333 | + | 0.124860i | ||||
\(713\) | 5.42523 | − | 34.2536i | 0.00760902 | − | 0.0480415i | ||||
\(714\) | −582.807 | + | 802.165i | −0.816256 | + | 1.12348i | ||||
\(715\) | 275.615 | − | 197.849i | 0.385476 | − | 0.276712i | ||||
\(716\) | 1.57797 | − | 1.14646i | 0.00220387 | − | 0.00160121i | ||||
\(717\) | 239.403 | − | 121.982i | 0.333895 | − | 0.170128i | ||||
\(718\) | −193.882 | + | 193.882i | −0.270031 | + | 0.270031i | ||||
\(719\) | 1129.58 | + | 367.024i | 1.57105 | + | 0.510464i | 0.959730 | − | 0.280923i | \(-0.0906405\pi\) |
0.611316 | + | 0.791387i | \(0.290640\pi\) | |||||||
\(720\) | −806.082 | − | 416.540i | −1.11956 | − | 0.578527i | ||||
\(721\) | 201.046 | + | 618.755i | 0.278843 | + | 0.858190i | ||||
\(722\) | −292.810 | + | 574.672i | −0.405554 | + | 0.795944i | ||||
\(723\) | −1988.95 | + | 315.018i | −2.75096 | + | 0.435710i | ||||
\(724\) | 1.01805i | 0.00140614i | ||||||||
\(725\) | −770.486 | − | 8.80813i | −1.06274 | − | 0.0121491i | ||||
\(726\) | 987.901 | 1.36075 | ||||||||
\(727\) | 39.2430 | + | 247.771i | 0.0539794 | + | 0.340813i | 0.999867 | + | 0.0163178i | \(0.00519433\pi\) |
−0.945887 | + | 0.324495i | \(0.894806\pi\) | |||||||
\(728\) | 791.981 | + | 403.535i | 1.08789 | + | 0.554306i | ||||
\(729\) | 997.037 | − | 323.957i | 1.36768 | − | 0.444385i | ||||
\(730\) | −78.7940 | − | 516.578i | −0.107937 | − | 0.707641i | ||||
\(731\) | 202.701 | − | 623.848i | 0.277292 | − | 0.853417i | ||||
\(732\) | −0.638489 | − | 0.638489i | −0.000872253 | − | 0.000872253i | ||||
\(733\) | −119.145 | − | 233.835i | −0.162544 | − | 0.319011i | 0.795341 | − | 0.606162i | \(-0.207292\pi\) |
−0.957885 | + | 0.287151i | \(0.907292\pi\) | |||||||
\(734\) | 617.060 | + | 849.311i | 0.840682 | + | 1.15710i | ||||
\(735\) | −245.856 | + | 334.356i | −0.334497 | + | 0.454906i | ||||
\(736\) | 1.32676 | + | 0.963949i | 0.00180267 | + | 0.00130971i | ||||
\(737\) | −254.324 | − | 40.2810i | −0.345080 | − | 0.0546553i | ||||
\(738\) | 127.473 | − | 804.834i | 0.172728 | − | 1.09056i | ||||
\(739\) | −419.335 | + | 577.165i | −0.567435 | + | 0.781008i | −0.992248 | − | 0.124273i | \(-0.960340\pi\) |
0.424813 | + | 0.905281i | \(0.360340\pi\) | |||||||
\(740\) | −1.26167 | − | 0.00721142i | −0.00170496 | − | 9.74516e-6i | ||||
\(741\) | −452.837 | + | 329.005i | −0.611116 | + | 0.444002i | ||||
\(742\) | −812.376 | + | 413.926i | −1.09485 | + | 0.557852i | ||||
\(743\) | −9.34501 | + | 9.34501i | −0.0125774 | + | 0.0125774i | −0.713368 | − | 0.700790i | \(-0.752831\pi\) |
0.700790 | + | 0.713368i | \(0.252831\pi\) | |||||||
\(744\) | −86.1682 | − | 27.9977i | −0.115817 | − | 0.0376314i | ||||
\(745\) | 51.9131 | − | 316.064i | 0.0696820 | − | 0.424246i | ||||
\(746\) | −107.051 | − | 329.468i | −0.143500 | − | 0.441647i | ||||
\(747\) | 259.246 | − | 508.799i | 0.347050 | − | 0.681123i | ||||
\(748\) | −0.492015 | + | 0.0779276i | −0.000657774 | + | 0.000104181i | ||||
\(749\) | 14.5714i | 0.0194545i | ||||||||
\(750\) | −810.518 | + | 783.188i | −1.08069 | + | 1.04425i | ||||
\(751\) | −175.040 | −0.233076 | −0.116538 | − | 0.993186i | \(-0.537180\pi\) | ||||
−0.116538 | + | 0.993186i | \(0.537180\pi\) | |||||||
\(752\) | −105.694 | − | 667.329i | −0.140551 | − | 0.887405i | ||||
\(753\) | 1105.41 | + | 563.234i | 1.46801 | + | 0.747986i | ||||
\(754\) | −1175.24 | + | 381.858i | −1.55867 | + | 0.506443i | ||||
\(755\) | 1122.69 | + | 184.401i | 1.48701 | + | 0.244240i | ||||
\(756\) | 0.135086 | − | 0.415751i | 0.000178685 | − | 0.000549935i | ||||
\(757\) | −331.826 | − | 331.826i | −0.438343 | − | 0.438343i | 0.453111 | − | 0.891454i | \(-0.350314\pi\) |
−0.891454 | + | 0.453111i | \(0.850314\pi\) | |||||||
\(758\) | −452.296 | − | 887.680i | −0.596696 | − | 1.17108i | ||||
\(759\) | −124.062 | − | 170.756i | −0.163454 | − | 0.224975i | ||||
\(760\) | −1.41466 | + | 247.502i | −0.00186140 | + | 0.325661i | ||||
\(761\) | 854.871 | + | 621.100i | 1.12335 | + | 0.816163i | 0.984714 | − | 0.174180i | \(-0.0557274\pi\) |
0.138638 | + | 0.990343i | \(0.455727\pi\) | |||||||
\(762\) | 1516.30 | + | 240.159i | 1.98990 | + | 0.315169i | ||||
\(763\) | 114.415 | − | 722.386i | 0.149954 | − | 0.946770i | ||||
\(764\) | −0.826459 | + | 1.13752i | −0.00108175 | + | 0.00148891i | ||||
\(765\) | 909.825 | + | 669.005i | 1.18931 | + | 0.874516i | ||||
\(766\) | 164.030 | − | 119.175i | 0.214138 | − | 0.155581i | ||||
\(767\) | −46.6990 | + | 23.7943i | −0.0608853 | + | 0.0310226i | ||||
\(768\) | 4.54009 | − | 4.54009i | 0.00591157 | − | 0.00591157i | ||||
\(769\) | −407.934 | − | 132.546i | −0.530474 | − | 0.172361i | 0.0315195 | − | 0.999503i | \(-0.489965\pi\) |
−0.561993 | + | 0.827142i | \(0.689965\pi\) | |||||||
\(770\) | −184.778 | + | 28.1843i | −0.239971 | + | 0.0366030i | ||||
\(771\) | −315.808 | − | 971.956i | −0.409608 | − | 1.26064i | ||||
\(772\) | 0.220416 | − | 0.432590i | 0.000285512 | − | 0.000560350i | ||||
\(773\) | 209.109 | − | 33.1196i | 0.270516 | − | 0.0428456i | −0.0197025 | − | 0.999806i | \(-0.506272\pi\) |
0.290219 | + | 0.956960i | \(0.406272\pi\) | |||||||
\(774\) | − | 749.261i | − | 0.968037i | ||||||
\(775\) | −37.4231 | + | 50.2894i | −0.0482879 | + | 0.0648896i | ||||
\(776\) | 22.3722 | 0.0288302 | ||||||||
\(777\) | 132.978 | + | 839.589i | 0.171143 | + | 1.08055i | ||||
\(778\) | 121.851 | + | 62.0859i | 0.156620 | + | 0.0798020i | ||||
\(779\) | −211.009 | + | 68.5610i | −0.270872 | + | 0.0880116i | ||||
\(780\) | 1.54019 | − | 2.98055i | 0.00197460 | − | 0.00382121i | ||||
\(781\) | 76.6509 | − | 235.907i | 0.0981445 | − | 0.302058i | ||||
\(782\) | 388.440 | + | 388.440i | 0.496727 | + | 0.496727i | ||||
\(783\) | 149.198 | + | 292.818i | 0.190547 | + | 0.373969i | ||||
\(784\) | 172.666 | + | 237.655i | 0.220238 | + | 0.303131i | ||||
\(785\) | −271.067 | − | 377.611i | −0.345308 | − | 0.481034i | ||||
\(786\) | 382.484 | + | 277.891i | 0.486620 | + | 0.353550i | ||||
\(787\) | −506.378 | − | 80.2023i | −0.643428 | − | 0.101909i | −0.173811 | − | 0.984779i | \(-0.555608\pi\) |
−0.469617 | + | 0.882870i | \(0.655608\pi\) | |||||||
\(788\) | −0.317178 | + | 2.00258i | −0.000402510 | + | 0.00254135i | ||||
\(789\) | −1110.84 | + | 1528.94i | −1.40791 | + | 1.93782i | ||||
\(790\) | 119.303 | + | 374.445i | 0.151016 | + | 0.473980i | ||||
\(791\) | 200.053 | − | 145.347i | 0.252911 | − | 0.183751i | ||||
\(792\) | −274.160 | + | 139.692i | −0.346162 | + | 0.176378i | ||||
\(793\) | −383.101 | + | 383.101i | −0.483104 | + | 0.483104i | ||||
\(794\) | 185.309 | + | 60.2105i | 0.233386 | + | 0.0758318i | ||||
\(795\) | 835.364 | + | 1662.92i | 1.05077 | + | 2.09173i | ||||
\(796\) | 0.453984 | + | 1.39722i | 0.000570332 | + | 0.00175530i | ||||
\(797\) | 607.216 | − | 1191.73i | 0.761878 | − | 1.49527i | −0.103762 | − | 0.994602i | \(-0.533088\pi\) |
0.865640 | − | 0.500667i | \(-0.166912\pi\) | |||||||
\(798\) | 304.576 | − | 48.2401i | 0.381674 | − | 0.0604512i | ||||
\(799\) | 840.935i | 1.05248i | ||||||||
\(800\) | −1.31547 | − | 2.65640i | −0.00164434 | − | 0.00332050i | ||||
\(801\) | −806.431 | −1.00678 | ||||||||
\(802\) | −45.5544 | − | 287.619i | −0.0568010 | − | 0.358628i | ||||
\(803\) | −157.600 | − | 80.3014i | −0.196264 | − | 0.100002i | ||||
\(804\) | −2.42164 | + | 0.786839i | −0.00301199 | + | 0.000978656i | ||||
\(805\) | −268.979 | − | 272.071i | −0.334135 | − | 0.337977i | ||||
\(806\) | −31.0655 | + | 95.6099i | −0.0385428 | + | 0.118623i | ||||
\(807\) | 39.0255 | + | 39.0255i | 0.0483587 | + | 0.0483587i | ||||
\(808\) | 195.444 | + | 383.580i | 0.241886 | + | 0.474728i | ||||
\(809\) | −82.9765 | − | 114.207i | −0.102567 | − | 0.141171i | 0.754649 | − | 0.656129i | \(-0.227807\pi\) |
−0.857215 | + | 0.514958i | \(0.827807\pi\) | |||||||
\(810\) | −513.563 | − | 170.118i | −0.634028 | − | 0.210022i | ||||
\(811\) | 105.885 | + | 76.9299i | 0.130561 | + | 0.0948581i | 0.651149 | − | 0.758950i | \(-0.274287\pi\) |
−0.520588 | + | 0.853808i | \(0.674287\pi\) | |||||||
\(812\) | −1.24806 | − | 0.197674i | −0.00153702 | − | 0.000243440i | ||||
\(813\) | −369.739 | + | 2334.44i | −0.454784 | + | 2.87139i | ||||
\(814\) | 135.242 | − | 186.145i | 0.166145 | − | 0.228680i | ||||
\(815\) | −200.223 | + | 604.447i | −0.245673 | + | 0.741652i | ||||
\(816\) | 1158.90 | − | 841.990i | 1.42022 | − | 1.03185i | ||||
\(817\) | −181.770 | + | 92.6165i | −0.222485 | + | 0.113362i | ||||
\(818\) | 142.203 | − | 142.203i | 0.173843 | − | 0.173843i | ||||
\(819\) | −1199.60 | − | 389.775i | −1.46472 | − | 0.475916i | ||||
\(820\) | 0.945699 | − | 0.934950i | 0.00115329 | − | 0.00114018i | ||||
\(821\) | −223.412 | − | 687.591i | −0.272122 | − | 0.837504i | −0.989967 | − | 0.141301i | \(-0.954871\pi\) |
0.717845 | − | 0.696203i | \(-0.245129\pi\) | |||||||
\(822\) | −208.512 | + | 409.228i | −0.253664 | + | 0.497844i | ||||
\(823\) | 1267.47 | − | 200.748i | 1.54006 | − | 0.243922i | 0.672065 | − | 0.740492i | \(-0.265408\pi\) |
0.867996 | + | 0.496571i | \(0.165408\pi\) | |||||||
\(824\) | − | 941.672i | − | 1.14281i | ||||||
\(825\) | 55.3696 | + | 377.468i | 0.0671147 | + | 0.457537i | ||||
\(826\) | 28.8747 | 0.0349573 | ||||||||
\(827\) | −26.4921 | − | 167.265i | −0.0320340 | − | 0.202255i | 0.966481 | − | 0.256740i | \(-0.0826483\pi\) |
−0.998515 | + | 0.0544850i | \(0.982648\pi\) | |||||||
\(828\) | −1.03773 | − | 0.528751i | −0.00125330 | − | 0.000638589i | ||||
\(829\) | 1291.17 | − | 419.527i | 1.55751 | − | 0.506064i | 0.601366 | − | 0.798974i | \(-0.294624\pi\) |
0.956140 | + | 0.292910i | \(0.0946235\pi\) | |||||||
\(830\) | −448.653 | + | 225.379i | −0.540546 | + | 0.271541i | ||||
\(831\) | 608.724 | − | 1873.46i | 0.732519 | − | 2.25446i | ||||
\(832\) | −909.715 | − | 909.715i | −1.09341 | − | 1.09341i | ||||
\(833\) | −165.988 | − | 325.771i | −0.199266 | − | 0.391081i | ||||
\(834\) | −629.257 | − | 866.097i | −0.754504 | − | 1.03849i | ||||
\(835\) | −383.239 | + | 122.105i | −0.458969 | + | 0.146233i | ||||
\(836\) | 0.125339 | + | 0.0910640i | 0.000149927 | + | 0.000108928i | ||||
\(837\) | 26.4066 | + | 4.18240i | 0.0315491 | + | 0.00499689i | ||||
\(838\) | 108.523 | − | 685.190i | 0.129503 | − | 0.817649i | ||||
\(839\) | −678.477 | + | 933.843i | −0.808673 | + | 1.11304i | 0.182853 | + | 0.983140i | \(0.441467\pi\) |
−0.991527 | + | 0.129903i | \(0.958533\pi\) | |||||||
\(840\) | −811.960 | + | 582.862i | −0.966619 | + | 0.693883i | ||||
\(841\) | 88.1522 | − | 64.0464i | 0.104818 | − | 0.0761550i | ||||
\(842\) | −454.827 | + | 231.746i | −0.540175 | + | 0.275233i | ||||
\(843\) | −328.629 | + | 328.629i | −0.389833 | + | 0.389833i | ||||
\(844\) | 2.65076 | + | 0.861285i | 0.00314071 | + | 0.00102048i | ||||
\(845\) | −1037.67 | − | 536.211i | −1.22801 | − | 0.634569i | ||||
\(846\) | 296.828 | + | 913.544i | 0.350861 | + | 1.07984i | ||||
\(847\) | 275.180 | − | 540.071i | 0.324888 | − | 0.637628i | ||||
\(848\) | 1301.00 | − | 206.059i | 1.53420 | − | 0.242994i | ||||
\(849\) | − | 954.736i | − | 1.12454i | ||||||
\(850\) | −296.020 | − | 947.788i | −0.348259 | − | 1.11504i | ||||
\(851\) | 470.955 | 0.553414 | ||||||||
\(852\) | −0.383710 | − | 2.42265i | −0.000450364 | − | 0.00284349i | ||||
\(853\) | 83.5286 | + | 42.5599i | 0.0979233 | + | 0.0498944i | 0.502266 | − | 0.864713i | \(-0.332500\pi\) |
−0.404343 | + | 0.914607i | \(0.632500\pi\) | |||||||
\(854\) | 283.874 | − | 92.2364i | 0.332406 | − | 0.108005i | ||||
\(855\) | −52.9598 | − | 347.208i | −0.0619413 | − | 0.406091i | ||||
\(856\) | 6.51737 | − | 20.0584i | 0.00761374 | − | 0.0234327i | ||||
\(857\) | 178.447 | + | 178.447i | 0.208223 | + | 0.208223i | 0.803512 | − | 0.595289i | \(-0.202962\pi\) |
−0.595289 | + | 0.803512i | \(0.702962\pi\) | |||||||
\(858\) | 277.764 | + | 545.143i | 0.323735 | + | 0.635365i | ||||
\(859\) | −192.730 | − | 265.270i | −0.224366 | − | 0.308813i | 0.681963 | − | 0.731387i | \(-0.261127\pi\) |
−0.906328 | + | 0.422574i | \(0.861127\pi\) | |||||||
\(860\) | 0.724372 | − | 0.985122i | 0.000842293 | − | 0.00114549i | ||||
\(861\) | −724.855 | − | 526.638i | −0.841875 | − | 0.611658i | ||||
\(862\) | −444.028 | − | 70.3271i | −0.515113 | − | 0.0815860i | ||||
\(863\) | 18.8095 | − | 118.758i | 0.0217954 | − | 0.137611i | −0.974391 | − | 0.224860i | \(-0.927808\pi\) |
0.996187 | + | 0.0872489i | \(0.0278075\pi\) | |||||||
\(864\) | −0.743124 | + | 1.02282i | −0.000860097 | + | 0.00118382i | ||||
\(865\) | 854.148 | + | 4.88211i | 0.987455 | + | 0.00564406i | ||||
\(866\) | 63.0351 | − | 45.7977i | 0.0727888 | − | 0.0528842i | ||||
\(867\) | −426.611 | + | 217.369i | −0.492054 | + | 0.250714i | ||||
\(868\) | −0.0726905 | + | 0.0726905i | −8.37449e−5 | + | 8.37449e-5i | ||||
\(869\) | 126.513 | + | 41.1065i | 0.145584 | + | 0.0473033i | ||||
\(870\) | 225.212 | − | 1371.16i | 0.258865 | − | 1.57605i | ||||
\(871\) | 472.113 | + | 1453.01i | 0.542036 | + | 1.66821i | ||||
\(872\) | −480.600 | + | 943.230i | −0.551147 | + | 1.08169i | ||||
\(873\) | −31.3564 | + | 4.96637i | −0.0359180 | + | 0.00568886i | ||||
\(874\) | − | 170.847i | − | 0.195478i | ||||||
\(875\) | 202.387 | + | 661.255i | 0.231300 | + | 0.755720i | ||||
\(876\) | −1.74909 | −0.00199668 | ||||||||
\(877\) | 142.712 | + | 901.047i | 0.162727 | + | 1.02742i | 0.924945 | + | 0.380100i | \(0.124110\pi\) |
−0.762218 | + | 0.647320i | \(0.775890\pi\) | |||||||
\(878\) | −408.822 | − | 208.305i | −0.465628 | − | 0.237249i | ||||
\(879\) | 1166.08 | − | 378.883i | 1.32660 | − | 0.431039i | ||||
\(880\) | 266.469 | + | 43.7672i | 0.302805 | + | 0.0497354i | ||||
\(881\) | 422.625 | − | 1300.71i | 0.479710 | − | 1.47640i | −0.359788 | − | 0.933034i | \(-0.617151\pi\) |
0.839498 | − | 0.543363i | \(-0.182849\pi\) | |||||||
\(882\) | −295.309 | − | 295.309i | −0.334817 | − | 0.334817i | ||||
\(883\) | 700.304 | + | 1374.42i | 0.793096 | + | 1.55654i | 0.830357 | + | 0.557232i | \(0.188137\pi\) |
−0.0372608 | + | 0.999306i | \(0.511863\pi\) | |||||||
\(884\) | 1.73729 | + | 2.39118i | 0.00196527 | + | 0.00270496i | ||||
\(885\) | 0.336856 | − | 58.9345i | 0.000380628 | − | 0.0665927i | ||||
\(886\) | −1177.20 | − | 855.287i | −1.32867 | − | 0.965335i | ||||
\(887\) | 359.608 | + | 56.9563i | 0.405421 | + | 0.0642123i | 0.355815 | − | 0.934557i | \(-0.384203\pi\) |
0.0496060 | + | 0.998769i | \(0.484203\pi\) | |||||||
\(888\) | 192.472 | − | 1215.22i | 0.216747 | − | 1.36849i | ||||
\(889\) | 553.658 | − | 762.045i | 0.622787 | − | 0.857193i | ||||
\(890\) | 571.241 | + | 420.040i | 0.641843 | + | 0.471955i | ||||
\(891\) | −148.151 | + | 107.638i | −0.166275 | + | 0.120806i | ||||
\(892\) | −2.57591 | + | 1.31249i | −0.00288779 | + | 0.00147140i | ||||
\(893\) | 184.934 | − | 184.934i | 0.207093 | − | 0.207093i | ||||
\(894\) | 549.336 | + | 178.490i | 0.614470 | + | 0.199653i | ||||
\(895\) | 1300.94 | − | 198.434i | 1.45357 | − | 0.221713i | ||||
\(896\) | 218.214 | + | 671.595i | 0.243543 | + | 0.749548i | ||||
\(897\) | −568.541 | + | 1115.83i | −0.633825 | + | 1.24395i | ||||
\(898\) | 1475.29 | − | 233.662i | 1.64286 | − | 0.260203i | ||||
\(899\) | − | 77.2828i | − | 0.0859653i | ||||||
\(900\) | 1.21784 | + | 1.71716i | 0.00135316 | + | 0.00190795i | ||||
\(901\) | −1639.46 | −1.81960 | ||||||||
\(902\) | 37.9379 | + | 239.530i | 0.0420597 | + | 0.265555i | ||||
\(903\) | −734.042 | − | 374.013i | −0.812893 | − | 0.414190i | ||||
\(904\) | −340.394 | + | 110.601i | −0.376542 | + | 0.122346i | ||||
\(905\) | −315.327 | + | 610.217i | −0.348428 | + | 0.674273i | ||||
\(906\) | −634.017 | + | 1951.30i | −0.699798 | + | 2.15376i | ||||
\(907\) | 45.1187 | + | 45.1187i | 0.0497450 | + | 0.0497450i | 0.731542 | − | 0.681797i | \(-0.238801\pi\) |
−0.681797 | + | 0.731542i | \(0.738801\pi\) | |||||||
\(908\) | −1.41903 | − | 2.78500i | −0.00156280 | − | 0.00306718i | ||||
\(909\) | −359.080 | − | 494.232i | −0.395028 | − | 0.543709i | ||||
\(910\) | 646.728 | + | 900.929i | 0.710690 | + | 0.990032i | ||||
\(911\) | −274.452 | − | 199.401i | −0.301265 | − | 0.218882i | 0.426874 | − | 0.904311i | \(-0.359615\pi\) |
−0.728139 | + | 0.685429i | \(0.759615\pi\) | |||||||
\(912\) | −440.025 | − | 69.6932i | −0.482484 | − | 0.0764179i | ||||
\(913\) | −26.5860 | + | 167.857i | −0.0291193 | + | 0.183852i | ||||
\(914\) | −219.027 | + | 301.465i | −0.239636 | + | 0.329830i | ||||
\(915\) | −184.947 | − | 580.476i | −0.202127 | − | 0.634400i | ||||
\(916\) | 1.71972 | − | 1.24945i | 0.00187743 | − | 0.00136403i | ||||
\(917\) | 258.460 | − | 131.692i | 0.281853 | − | 0.143611i | ||||
\(918\) | −299.455 | + | 299.455i | −0.326204 | + | 0.326204i | ||||
\(919\) | −240.689 | − | 78.2047i | −0.261903 | − | 0.0850976i | 0.175122 | − | 0.984547i | \(-0.443968\pi\) |
−0.437025 | + | 0.899449i | \(0.643968\pi\) | |||||||
\(920\) | 248.575 | + | 494.828i | 0.270190 | + | 0.537856i | ||||
\(921\) | 74.5209 | + | 229.352i | 0.0809130 | + | 0.249025i | ||||
\(922\) | −164.823 | + | 323.484i | −0.178767 | + | 0.350851i | ||||
\(923\) | −1453.62 | + | 230.231i | −1.57489 | + | 0.249437i | ||||
\(924\) | 0.625642i | 0.000677102i | ||||||||
\(925\) | −754.013 | − | 395.110i | −0.815150 | − | 0.427146i | ||||
\(926\) | −900.972 | −0.972972 | ||||||||
\(927\) | 209.040 | + | 1319.83i | 0.225502 | + | 1.42376i | ||||
\(928\) | 3.25622 | + | 1.65912i | 0.00350885 | + | 0.00178785i | ||||
\(929\) | −658.494 | + | 213.958i | −0.708820 | + | 0.230310i | −0.641169 | − | 0.767399i | \(-0.721550\pi\) |
−0.0676508 | + | 0.997709i | \(0.521550\pi\) | |||||||
\(930\) | −79.4759 | − | 80.3896i | −0.0854579 | − | 0.0864404i | ||||
\(931\) | −35.1385 | + | 108.145i | −0.0377427 | + | 0.116160i | ||||
\(932\) | 1.01427 | + | 1.01427i | 0.00108827 | + | 0.00108827i | ||||
\(933\) | −527.172 | − | 1034.63i | −0.565029 | − | 1.10893i | ||||
\(934\) | 448.768 | + | 617.676i | 0.480480 | + | 0.661324i | ||||
\(935\) | −319.052 | − | 105.686i | −0.341232 | − | 0.113033i | ||||
\(936\) | 1476.99 | + | 1073.09i | 1.57798 | + | 1.14647i | ||||
\(937\) | 218.653 | + | 34.6312i | 0.233354 | + | 0.0369596i | 0.272016 | − | 0.962293i | \(-0.412310\pi\) |
−0.0386622 | + | 0.999252i | \(0.512310\pi\) | |||||||
\(938\) | 131.670 | − | 831.333i | 0.140373 | − | 0.886282i | ||||
\(939\) | 1271.80 | − | 1750.48i | 1.35442 | − | 1.86419i | ||||
\(940\) | −0.492930 | + | 1.48809i | −0.000524394 | + | 0.00158307i | ||||
\(941\) | 164.559 | − | 119.559i | 0.174876 | − | 0.127055i | −0.496904 | − | 0.867805i | \(-0.665530\pi\) |
0.671780 | + | 0.740750i | \(0.265530\pi\) | |||||||
\(942\) | 746.883 | − | 380.556i | 0.792869 | − | 0.403987i | ||||
\(943\) | −351.003 | + | 351.003i | −0.372220 | + | 0.372220i | ||||
\(944\) | −39.6741 | − | 12.8909i | −0.0420276 | − | 0.0136556i | ||||
\(945\) | 209.744 | − | 207.360i | 0.221952 | − | 0.219429i | ||||
\(946\) | 68.9080 | + | 212.077i | 0.0728415 | + | 0.224183i | ||||
\(947\) | 544.018 | − | 1067.69i | 0.574464 | − | 1.12745i | −0.402773 | − | 0.915300i | \(-0.631954\pi\) |
0.977237 | − | 0.212150i | \(-0.0680464\pi\) | |||||||
\(948\) | 1.29923 | − | 0.205777i | 0.00137049 | − | 0.000217064i | ||||
\(949\) | 1049.48i | 1.10588i | ||||||||
\(950\) | −143.333 | + | 273.532i | −0.150877 | + | 0.287928i | ||||
\(951\) | 891.112 | 0.937026 | ||||||||
\(952\) | −137.747 | − | 869.701i | −0.144692 | − | 0.913552i | ||||
\(953\) | −863.782 | − | 440.119i | −0.906382 | − | 0.461825i | −0.0623115 | − | 0.998057i | \(-0.519847\pi\) |
−0.844071 | + | 0.536232i | \(0.819847\pi\) | |||||||
\(954\) | −1781.02 | + | 578.688i | −1.86689 | + | 0.606591i | ||||
\(955\) | −847.715 | + | 425.847i | −0.887660 | + | 0.445913i | ||||
\(956\) | −0.136355 | + | 0.419657i | −0.000142631 | + | 0.000438972i | ||||
\(957\) | −332.584 | − | 332.584i | −0.347528 | − | 0.347528i | ||||
\(958\) | 317.691 | + | 623.504i | 0.331619 | + | 0.650839i | ||||
\(959\) | 165.638 | + | 227.981i | 0.172719 | + | 0.237728i | ||||
\(960\) | 1378.40 | − | 439.175i | 1.43583 | − | 0.457474i | ||||
\(961\) | 772.379 | + | 561.166i | 0.803724 | + | 0.583940i | ||||
\(962\) | −1348.37 | − | 213.561i | −1.40164 | − | 0.221997i | ||||
\(963\) | −4.68187 | + | 29.5602i | −0.00486176 | + | 0.0306959i | ||||
\(964\) | 1.94385 | − | 2.67547i | 0.00201644 | − | 0.00277539i | ||||
\(965\) | 266.107 | − | 191.024i | 0.275758 | − | 0.197952i | ||||
\(966\) | 558.167 | − | 405.532i | 0.577813 | − | 0.419806i | ||||
\(967\) | 394.896 | − | 201.209i | 0.408372 | − | 0.208076i | −0.237723 | − | 0.971333i | \(-0.576401\pi\) |
0.646095 | + | 0.763257i | \(0.276401\pi\) | |||||||
\(968\) | −620.359 | + | 620.359i | −0.640866 | + | 0.640866i | ||||
\(969\) | 527.359 | + | 171.349i | 0.544230 | + | 0.176831i | ||||
\(970\) | 24.7983 | + | 12.8144i | 0.0255653 | + | 0.0132108i | ||||
\(971\) | 53.8408 | + | 165.705i | 0.0554488 | + | 0.170654i | 0.974946 | − | 0.222444i | \(-0.0714034\pi\) |
−0.919497 | + | 0.393098i | \(0.871403\pi\) | |||||||
\(972\) | −1.14497 | + | 2.24713i | −0.00117795 | + | 0.00231186i | ||||
\(973\) | −648.762 | + | 102.754i | −0.666765 | + | 0.105605i | ||||
\(974\) | 1614.83i | 1.65793i | ||||||||
\(975\) | 1846.38 | − | 1309.49i | 1.89372 | − | 1.34306i | ||||
\(976\) | −431.223 | −0.441827 | ||||||||
\(977\) | −257.214 | − | 1623.99i | −0.263269 | − | 1.66222i | −0.665289 | − | 0.746586i | \(-0.731692\pi\) |
0.402020 | − | 0.915631i | \(-0.368308\pi\) | |||||||
\(978\) | −1023.11 | − | 521.302i | −1.04613 | − | 0.533029i | ||||
\(979\) | 228.259 | − | 74.1659i | 0.233155 | − | 0.0757568i | ||||
\(980\) | −0.102770 | − | 0.673769i | −0.000104868 | − | 0.000687520i | ||||
\(981\) | 464.213 | − | 1428.70i | 0.473203 | − | 1.45637i | ||||
\(982\) | 744.456 | + | 744.456i | 0.758102 | + | 0.758102i | ||||
\(983\) | 378.134 | + | 742.129i | 0.384673 | + | 0.754964i | 0.999430 | − | 0.0337529i | \(-0.0107459\pi\) |
−0.614757 | + | 0.788717i | \(0.710746\pi\) | |||||||
\(984\) | 762.254 | + | 1049.15i | 0.774648 | + | 1.06621i | ||||
\(985\) | −810.392 | + | 1102.11i | −0.822733 | + | 1.11889i | ||||
\(986\) | 990.361 | + | 719.540i | 1.00442 | + | 0.729756i | ||||
\(987\) | 1043.16 | + | 165.220i | 1.05690 | + | 0.167396i | ||||
\(988\) | 0.143799 | − | 0.907912i | 0.000145546 | − | 0.000918940i | ||||
\(989\) | −268.282 | + | 369.259i | −0.271266 | + | 0.373366i | ||||
\(990\) | −383.904 | − | 2.19430i | −0.387782 | − | 0.00221647i | ||||
\(991\) | −238.832 | + | 173.522i | −0.241001 | + | 0.175098i | −0.701729 | − | 0.712444i | \(-0.747588\pi\) |
0.460728 | + | 0.887541i | \(0.347588\pi\) | |||||||
\(992\) | 0.264905 | − | 0.134976i | 0.000267041 | − | 0.000136064i | ||||
\(993\) | 948.303 | − | 948.303i | 0.954988 | − | 0.954988i | ||||
\(994\) | 771.132 | + | 250.556i | 0.775786 | + | 0.252068i | ||||
\(995\) | −160.654 | + | 978.111i | −0.161461 | + | 0.983026i | ||||
\(996\) | 0.519324 | + | 1.59831i | 0.000521410 | + | 0.00160473i | ||||
\(997\) | 410.202 | − | 805.068i | 0.411437 | − | 0.807490i | −0.588563 | − | 0.808451i | \(-0.700306\pi\) |
1.00000 | 0.000961470i | \(0.000306045\pi\) | ||||||||
\(998\) | −1122.42 | + | 177.774i | −1.12467 | + | 0.178131i | ||||
\(999\) | 363.067i | 0.363431i |
(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 | 25.3.f.a.12.2 | ✓ | 32 | |
3.2 | odd | 2 | 225.3.r.a.37.3 | 32 | |||
4.3 | odd | 2 | 400.3.bg.c.337.4 | 32 | |||
5.2 | odd | 4 | 125.3.f.b.43.3 | 32 | |||
5.3 | odd | 4 | 125.3.f.a.43.2 | 32 | |||
5.4 | even | 2 | 125.3.f.c.82.3 | 32 | |||
25.2 | odd | 20 | 125.3.f.c.93.3 | 32 | |||
25.11 | even | 5 | 125.3.f.a.32.2 | 32 | |||
25.14 | even | 10 | 125.3.f.b.32.3 | 32 | |||
25.23 | odd | 20 | inner | 25.3.f.a.23.2 | yes | 32 | |
75.23 | even | 20 | 225.3.r.a.73.3 | 32 | |||
100.23 | even | 20 | 400.3.bg.c.273.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.3.f.a.12.2 | ✓ | 32 | 1.1 | even | 1 | trivial | |
25.3.f.a.23.2 | yes | 32 | 25.23 | odd | 20 | inner | |
125.3.f.a.32.2 | 32 | 25.11 | even | 5 | |||
125.3.f.a.43.2 | 32 | 5.3 | odd | 4 | |||
125.3.f.b.32.3 | 32 | 25.14 | even | 10 | |||
125.3.f.b.43.3 | 32 | 5.2 | odd | 4 | |||
125.3.f.c.82.3 | 32 | 5.4 | even | 2 | |||
125.3.f.c.93.3 | 32 | 25.2 | odd | 20 | |||
225.3.r.a.37.3 | 32 | 3.2 | odd | 2 | |||
225.3.r.a.73.3 | 32 | 75.23 | even | 20 | |||
400.3.bg.c.273.4 | 32 | 100.23 | even | 20 | |||
400.3.bg.c.337.4 | 32 | 4.3 | odd | 2 |