Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(104,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.104");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.w (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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(304\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 104.3 | ||
Character | \(\chi\) | \(=\) | 525.104 |
Dual form | 525.2.w.a.419.3 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.825889 | + | 2.54182i | −0.583992 | + | 1.79734i | 0.0192915 | + | 0.999814i | \(0.493859\pi\) |
−0.603283 | + | 0.797527i | \(0.706141\pi\) | |||||||
\(3\) | −1.65709 | − | 0.504029i | −0.956723 | − | 0.291001i | ||||
\(4\) | −4.16074 | − | 3.02296i | −2.08037 | − | 1.51148i | ||||
\(5\) | −1.82317 | + | 1.29462i | −0.815348 | + | 0.578972i | ||||
\(6\) | 2.64973 | − | 3.79577i | 1.08175 | − | 1.54961i | ||||
\(7\) | 2.62130 | − | 0.358847i | 0.990759 | − | 0.135631i | ||||
\(8\) | 6.79573 | − | 4.93738i | 2.40265 | − | 1.74563i | ||||
\(9\) | 2.49191 | + | 1.67044i | 0.830637 | + | 0.556815i | ||||
\(10\) | −1.78496 | − | 5.70340i | −0.564454 | − | 1.80357i | ||||
\(11\) | 4.91118 | + | 1.59574i | 1.48078 | + | 0.481133i | 0.934345 | − | 0.356370i | \(-0.115986\pi\) |
0.546432 | + | 0.837504i | \(0.315986\pi\) | |||||||
\(12\) | 5.37108 | + | 7.10645i | 1.55050 | + | 2.05146i | ||||
\(13\) | −0.892552 | − | 2.74699i | −0.247549 | − | 0.761879i | −0.995207 | − | 0.0977941i | \(-0.968821\pi\) |
0.747657 | − | 0.664085i | \(-0.231179\pi\) | |||||||
\(14\) | −1.25278 | + | 6.95926i | −0.334819 | + | 1.85994i | ||||
\(15\) | 3.67369 | − | 1.22637i | 0.948543 | − | 0.316649i | ||||
\(16\) | 3.75892 | + | 11.5688i | 0.939731 | + | 2.89219i | ||||
\(17\) | −2.10823 | − | 2.90173i | −0.511321 | − | 0.703773i | 0.472820 | − | 0.881159i | \(-0.343236\pi\) |
−0.984141 | + | 0.177386i | \(0.943236\pi\) | |||||||
\(18\) | −6.30401 | + | 4.95440i | −1.48587 | + | 1.16776i | ||||
\(19\) | 1.65683 | + | 2.28042i | 0.380102 | + | 0.523165i | 0.955611 | − | 0.294630i | \(-0.0951963\pi\) |
−0.575510 | + | 0.817795i | \(0.695196\pi\) | |||||||
\(20\) | 11.4993 | + | 0.124789i | 2.57133 | + | 0.0279037i | ||||
\(21\) | −4.52461 | − | 0.726569i | −0.987351 | − | 0.158550i | ||||
\(22\) | −8.11218 | + | 11.1655i | −1.72952 | + | 2.38048i | ||||
\(23\) | 0.0415129 | − | 0.127763i | 0.00865603 | − | 0.0266405i | −0.946635 | − | 0.322307i | \(-0.895542\pi\) |
0.955291 | + | 0.295666i | \(0.0955417\pi\) | |||||||
\(24\) | −13.7497 | + | 4.75646i | −2.80665 | + | 0.970909i | ||||
\(25\) | 1.64792 | − | 4.72063i | 0.329583 | − | 0.944127i | ||||
\(26\) | 7.71952 | 1.51392 | ||||||||
\(27\) | −3.28737 | − | 4.02407i | −0.632656 | − | 0.774433i | ||||
\(28\) | −11.9913 | − | 6.43102i | −2.26615 | − | 1.21535i | ||||
\(29\) | −4.19982 | + | 5.78055i | −0.779887 | + | 1.07342i | 0.215408 | + | 0.976524i | \(0.430892\pi\) |
−0.995294 | + | 0.0968976i | \(0.969108\pi\) | |||||||
\(30\) | 0.0831689 | + | 10.3507i | 0.0151845 | + | 1.88978i | ||||
\(31\) | 0.637066 | + | 0.876845i | 0.114420 | + | 0.157486i | 0.862386 | − | 0.506251i | \(-0.168969\pi\) |
−0.747966 | + | 0.663737i | \(0.768969\pi\) | |||||||
\(32\) | −15.7103 | −2.77721 | ||||||||
\(33\) | −7.33398 | − | 5.11966i | −1.27668 | − | 0.891219i | ||||
\(34\) | 9.11686 | − | 2.96225i | 1.56353 | − | 0.508021i | ||||
\(35\) | −4.31452 | + | 4.04783i | −0.729286 | + | 0.684208i | ||||
\(36\) | −5.31852 | − | 14.4832i | −0.886420 | − | 2.41387i | ||||
\(37\) | 3.64053 | − | 1.18288i | 0.598500 | − | 0.194464i | 0.00592877 | − | 0.999982i | \(-0.498113\pi\) |
0.592571 | + | 0.805518i | \(0.298113\pi\) | |||||||
\(38\) | −7.16479 | + | 2.32798i | −1.16228 | + | 0.377648i | ||||
\(39\) | 0.0944786 | + | 5.00189i | 0.0151287 | + | 0.800944i | ||||
\(40\) | −5.99774 | + | 17.7996i | −0.948327 | + | 2.81436i | ||||
\(41\) | 2.41638 | + | 7.43686i | 0.377376 | + | 1.16144i | 0.941862 | + | 0.336001i | \(0.109074\pi\) |
−0.564486 | + | 0.825443i | \(0.690926\pi\) | |||||||
\(42\) | 5.58363 | − | 10.9007i | 0.861574 | − | 1.68201i | ||||
\(43\) | 9.29611i | 1.41764i | 0.705388 | + | 0.708822i | \(0.250773\pi\) | ||||
−0.705388 | + | 0.708822i | \(0.749227\pi\) | |||||||
\(44\) | −15.6103 | − | 21.4858i | −2.35334 | − | 3.23910i | ||||
\(45\) | −6.70577 | + | 0.180571i | −0.999638 | + | 0.0269180i | ||||
\(46\) | 0.290467 | + | 0.211037i | 0.0428271 | + | 0.0311157i | ||||
\(47\) | −0.582787 | + | 0.802138i | −0.0850083 | + | 0.117004i | −0.849403 | − | 0.527745i | \(-0.823038\pi\) |
0.764395 | + | 0.644748i | \(0.223038\pi\) | |||||||
\(48\) | −0.397890 | − | 21.0651i | −0.0574305 | − | 3.04049i | ||||
\(49\) | 6.74246 | − | 1.88129i | 0.963208 | − | 0.268756i | ||||
\(50\) | 10.6380 | + | 8.08743i | 1.50444 | + | 1.14374i | ||||
\(51\) | 2.03098 | + | 5.87105i | 0.284394 | + | 0.822111i | ||||
\(52\) | −4.59036 | + | 14.1277i | −0.636569 | + | 1.95916i | ||||
\(53\) | 6.05976 | + | 4.40267i | 0.832372 | + | 0.604754i | 0.920229 | − | 0.391379i | \(-0.128002\pi\) |
−0.0878575 | + | 0.996133i | \(0.528002\pi\) | |||||||
\(54\) | 12.9435 | − | 5.03249i | 1.76139 | − | 0.684835i | ||||
\(55\) | −11.0198 | + | 3.44881i | −1.48591 | + | 0.465037i | ||||
\(56\) | 16.0419 | − | 15.3810i | 2.14369 | − | 2.05537i | ||||
\(57\) | −1.59611 | − | 4.61396i | −0.211410 | − | 0.611134i | ||||
\(58\) | −11.2246 | − | 15.4493i | −1.47386 | − | 2.02859i | ||||
\(59\) | 1.62429 | + | 4.99904i | 0.211464 | + | 0.650820i | 0.999386 | + | 0.0350441i | \(0.0111572\pi\) |
−0.787922 | + | 0.615776i | \(0.788843\pi\) | |||||||
\(60\) | −18.9926 | − | 6.00278i | −2.45193 | − | 0.774956i | ||||
\(61\) | 10.9370 | + | 3.55366i | 1.40034 | + | 0.454999i | 0.909302 | − | 0.416137i | \(-0.136616\pi\) |
0.491041 | + | 0.871136i | \(0.336616\pi\) | |||||||
\(62\) | −2.75493 | + | 0.895132i | −0.349877 | + | 0.113682i | ||||
\(63\) | 7.13149 | + | 3.48452i | 0.898483 | + | 0.439009i | ||||
\(64\) | 5.45711 | − | 16.7952i | 0.682138 | − | 2.09941i | ||||
\(65\) | 5.18359 | + | 3.85273i | 0.642945 | + | 0.477872i | ||||
\(66\) | 19.0703 | − | 14.4134i | 2.34740 | − | 1.77417i | ||||
\(67\) | −1.37048 | − | 1.88630i | −0.167430 | − | 0.230448i | 0.717054 | − | 0.697017i | \(-0.245490\pi\) |
−0.884485 | + | 0.466569i | \(0.845490\pi\) | |||||||
\(68\) | 18.4465i | 2.23696i | ||||||||
\(69\) | −0.133187 | + | 0.190792i | −0.0160338 | + | 0.0229687i | ||||
\(70\) | −6.72557 | − | 14.3098i | −0.803859 | − | 1.71035i | ||||
\(71\) | 7.53120 | − | 10.3658i | 0.893789 | − | 1.23019i | −0.0786184 | − | 0.996905i | \(-0.525051\pi\) |
0.972407 | − | 0.233290i | \(-0.0749491\pi\) | |||||||
\(72\) | 25.1820 | − | 0.951642i | 2.96772 | − | 0.112152i | ||||
\(73\) | −1.24381 | + | 3.82806i | −0.145577 | + | 0.448040i | −0.997085 | − | 0.0763019i | \(-0.975689\pi\) |
0.851508 | + | 0.524342i | \(0.175689\pi\) | |||||||
\(74\) | 10.2305i | 1.18927i | ||||||||
\(75\) | −5.11008 | + | 6.99193i | −0.590062 | + | 0.807358i | ||||
\(76\) | − | 14.4968i | − | 1.66289i | ||||||
\(77\) | 13.4463 | + | 2.42055i | 1.53235 | + | 0.275848i | ||||
\(78\) | −12.7920 | − | 3.89086i | −1.44840 | − | 0.440553i | ||||
\(79\) | −12.0766 | − | 8.77413i | −1.35872 | − | 0.987166i | −0.998525 | − | 0.0542886i | \(-0.982711\pi\) |
−0.360193 | − | 0.932878i | \(-0.617289\pi\) | |||||||
\(80\) | −21.8303 | − | 16.2255i | −2.44071 | − | 1.81407i | ||||
\(81\) | 3.41924 | + | 8.32519i | 0.379915 | + | 0.925021i | ||||
\(82\) | −20.8989 | −2.30789 | ||||||||
\(83\) | 0.825199 | + | 1.13579i | 0.0905773 | + | 0.124669i | 0.851901 | − | 0.523703i | \(-0.175450\pi\) |
−0.761323 | + | 0.648372i | \(0.775450\pi\) | |||||||
\(84\) | 16.6294 | + | 16.7008i | 1.81441 | + | 1.82220i | ||||
\(85\) | 7.60031 | + | 2.56100i | 0.824369 | + | 0.277779i | ||||
\(86\) | −23.6291 | − | 7.67755i | −2.54799 | − | 0.827892i | ||||
\(87\) | 9.87305 | − | 7.46208i | 1.05850 | − | 0.800019i | ||||
\(88\) | 41.2538 | − | 13.4042i | 4.39767 | − | 1.42889i | ||||
\(89\) | 0.109938 | − | 0.338354i | 0.0116534 | − | 0.0358654i | −0.945061 | − | 0.326895i | \(-0.893998\pi\) |
0.956714 | + | 0.291029i | \(0.0939977\pi\) | |||||||
\(90\) | 5.07924 | − | 17.1940i | 0.535399 | − | 1.81241i | ||||
\(91\) | −3.32540 | − | 6.88041i | −0.348597 | − | 0.721263i | ||||
\(92\) | −0.558948 | + | 0.406099i | −0.0582743 | + | 0.0423388i | ||||
\(93\) | −0.613721 | − | 1.77411i | −0.0636399 | − | 0.183967i | ||||
\(94\) | −1.55758 | − | 2.14382i | −0.160652 | − | 0.221118i | ||||
\(95\) | −5.97296 | − | 2.01265i | −0.612813 | − | 0.206493i | ||||
\(96\) | 26.0334 | + | 7.91844i | 2.65702 | + | 0.808172i | ||||
\(97\) | −2.45844 | − | 1.78616i | −0.249617 | − | 0.181357i | 0.455940 | − | 0.890010i | \(-0.349303\pi\) |
−0.705557 | + | 0.708653i | \(0.749303\pi\) | |||||||
\(98\) | −0.786605 | + | 18.6919i | −0.0794591 | + | 1.88817i | ||||
\(99\) | 9.57263 | + | 12.1803i | 0.962085 | + | 1.22417i | ||||
\(100\) | −21.1268 | + | 14.6598i | −2.11268 | + | 1.46598i | ||||
\(101\) | −7.82720 | −0.778836 | −0.389418 | − | 0.921061i | \(-0.627324\pi\) | ||||
−0.389418 | + | 0.921061i | \(0.627324\pi\) | |||||||
\(102\) | −16.6005 | + | 0.313560i | −1.64370 | + | 0.0310471i | ||||
\(103\) | 4.70751 | + | 3.42020i | 0.463844 | + | 0.337003i | 0.795037 | − | 0.606560i | \(-0.207451\pi\) |
−0.331193 | + | 0.943563i | \(0.607451\pi\) | |||||||
\(104\) | −19.6285 | − | 14.2609i | −1.92473 | − | 1.39840i | ||||
\(105\) | 9.18978 | − | 4.53299i | 0.896830 | − | 0.442375i | ||||
\(106\) | −16.1955 | + | 11.7667i | −1.57305 | + | 1.14289i | ||||
\(107\) | −4.08050 | −0.394477 | −0.197239 | − | 0.980356i | \(-0.563197\pi\) | ||||
−0.197239 | + | 0.980356i | \(0.563197\pi\) | |||||||
\(108\) | 1.51332 | + | 26.6807i | 0.145620 | + | 2.56735i | ||||
\(109\) | 2.43326 | + | 7.48880i | 0.233064 | + | 0.717297i | 0.997372 | + | 0.0724462i | \(0.0230806\pi\) |
−0.764308 | + | 0.644851i | \(0.776919\pi\) | |||||||
\(110\) | 0.334874 | − | 30.8587i | 0.0319290 | − | 2.94227i | ||||
\(111\) | −6.62891 | + | 0.125211i | −0.629188 | + | 0.0118845i | ||||
\(112\) | 14.0047 | + | 28.9764i | 1.32332 | + | 2.73801i | ||||
\(113\) | 2.04165 | + | 6.28356i | 0.192062 | + | 0.591108i | 0.999998 | + | 0.00183707i | \(0.000584757\pi\) |
−0.807936 | + | 0.589270i | \(0.799415\pi\) | |||||||
\(114\) | 13.0461 | − | 0.246422i | 1.22188 | − | 0.0230795i | ||||
\(115\) | 0.0897201 | + | 0.286678i | 0.00836644 | + | 0.0267329i | ||||
\(116\) | 34.9487 | − | 11.3555i | 3.24491 | − | 1.05433i | ||||
\(117\) | 2.36454 | − | 8.33622i | 0.218602 | − | 0.770684i | ||||
\(118\) | −14.0482 | −1.29324 | ||||||||
\(119\) | −6.56759 | − | 6.84978i | −0.602050 | − | 0.627919i | ||||
\(120\) | 18.9103 | − | 26.4725i | 1.72627 | − | 2.41660i | ||||
\(121\) | 12.6741 | + | 9.20829i | 1.15219 | + | 0.837117i | ||||
\(122\) | −18.0655 | + | 24.8651i | −1.63558 | + | 2.25118i | ||||
\(123\) | −0.255780 | − | 13.5415i | −0.0230629 | − | 1.22100i | ||||
\(124\) | − | 5.57415i | − | 0.500574i | ||||||
\(125\) | 3.10699 | + | 10.7400i | 0.277898 | + | 0.960611i | ||||
\(126\) | −14.7469 | + | 15.2492i | −1.31375 | + | 1.35850i | ||||
\(127\) | −4.72566 | − | 1.53546i | −0.419335 | − | 0.136250i | 0.0917468 | − | 0.995782i | \(-0.470755\pi\) |
−0.511081 | + | 0.859532i | \(0.670755\pi\) | |||||||
\(128\) | 12.7638 | + | 9.27345i | 1.12817 | + | 0.819665i | ||||
\(129\) | 4.68551 | − | 15.4045i | 0.412536 | − | 1.35629i | ||||
\(130\) | −14.0740 | + | 9.99385i | −1.23437 | + | 0.876519i | ||||
\(131\) | −11.0796 | + | 8.04982i | −0.968032 | + | 0.703316i | −0.955002 | − | 0.296599i | \(-0.904148\pi\) |
−0.0130296 | + | 0.999915i | \(0.504148\pi\) | |||||||
\(132\) | 15.0383 | + | 43.4719i | 1.30892 | + | 3.78374i | ||||
\(133\) | 5.16136 | + | 5.38314i | 0.447547 | + | 0.466777i | ||||
\(134\) | 5.92650 | − | 1.92564i | 0.511972 | − | 0.166350i | ||||
\(135\) | 11.2031 | + | 3.08068i | 0.964209 | + | 0.265143i | ||||
\(136\) | −28.6539 | − | 9.31023i | −2.45705 | − | 0.798345i | ||||
\(137\) | 1.51841 | + | 4.67318i | 0.129726 | + | 0.399256i | 0.994733 | − | 0.102505i | \(-0.0326857\pi\) |
−0.865006 | + | 0.501761i | \(0.832686\pi\) | |||||||
\(138\) | −0.374962 | − | 0.496111i | −0.0319189 | − | 0.0422318i | ||||
\(139\) | 19.9413 | + | 6.47933i | 1.69140 | + | 0.549570i | 0.987068 | − | 0.160300i | \(-0.0512462\pi\) |
0.704333 | + | 0.709870i | \(0.251246\pi\) | |||||||
\(140\) | 30.1880 | − | 3.79939i | 2.55135 | − | 0.321107i | ||||
\(141\) | 1.37003 | − | 1.03548i | 0.115378 | − | 0.0872027i | ||||
\(142\) | 20.1281 | + | 27.7040i | 1.68911 | + | 2.32487i | ||||
\(143\) | − | 14.9153i | − | 1.24728i | ||||||
\(144\) | −9.95809 | + | 35.1074i | −0.829841 | + | 2.92562i | ||||
\(145\) | 0.173370 | − | 15.9761i | 0.0143976 | − | 1.32674i | ||||
\(146\) | −8.70300 | − | 6.32310i | −0.720265 | − | 0.523303i | ||||
\(147\) | −12.1211 | − | 0.280915i | −0.999732 | − | 0.0231695i | ||||
\(148\) | −18.7231 | − | 6.08351i | −1.53903 | − | 0.500062i | ||||
\(149\) | − | 7.33093i | − | 0.600573i | −0.953849 | − | 0.300287i | \(-0.902918\pi\) | ||
0.953849 | − | 0.300287i | \(-0.0970823\pi\) | |||||||
\(150\) | −13.5519 | − | 18.7635i | −1.10651 | − | 1.53203i | ||||
\(151\) | −8.03176 | −0.653615 | −0.326808 | − | 0.945091i | \(-0.605973\pi\) | ||||
−0.326808 | + | 0.945091i | \(0.605973\pi\) | |||||||
\(152\) | 22.5187 | + | 7.31676i | 1.82650 | + | 0.593467i | ||||
\(153\) | −0.406345 | − | 10.7525i | −0.0328510 | − | 0.869291i | ||||
\(154\) | −17.2578 | + | 32.1791i | −1.39067 | + | 2.59306i | ||||
\(155\) | −2.29666 | − | 0.773883i | −0.184472 | − | 0.0621597i | ||||
\(156\) | 14.7274 | − | 21.0972i | 1.17914 | − | 1.68913i | ||||
\(157\) | 7.12103 | 0.568320 | 0.284160 | − | 0.958777i | \(-0.408285\pi\) | ||||
0.284160 | + | 0.958777i | \(0.408285\pi\) | |||||||
\(158\) | 32.2762 | − | 23.4500i | 2.56775 | − | 1.86558i | ||||
\(159\) | −7.82251 | − | 10.3499i | −0.620365 | − | 0.820803i | ||||
\(160\) | 28.6426 | − | 20.3389i | 2.26439 | − | 1.60793i | ||||
\(161\) | 0.0629703 | − | 0.349803i | 0.00496275 | − | 0.0275684i | ||||
\(162\) | −23.9851 | + | 1.81541i | −1.88445 | + | 0.142632i | ||||
\(163\) | 7.15707 | − | 2.32547i | 0.560585 | − | 0.182145i | −0.0149995 | − | 0.999888i | \(-0.504775\pi\) |
0.575584 | + | 0.817742i | \(0.304775\pi\) | |||||||
\(164\) | 12.4274 | − | 38.2475i | 0.970415 | − | 2.98663i | ||||
\(165\) | 19.9991 | − | 0.160695i | 1.55693 | − | 0.0125101i | ||||
\(166\) | −3.56850 | + | 1.15947i | −0.276969 | + | 0.0899927i | ||||
\(167\) | 1.51807 | + | 2.08945i | 0.117472 | + | 0.161686i | 0.863704 | − | 0.504000i | \(-0.168139\pi\) |
−0.746232 | + | 0.665686i | \(0.768139\pi\) | |||||||
\(168\) | −34.3354 | + | 17.4022i | −2.64903 | + | 1.34261i | ||||
\(169\) | 3.76790 | − | 2.73754i | 0.289838 | − | 0.210580i | ||||
\(170\) | −12.7866 | + | 17.2036i | −0.980689 | + | 1.31945i | ||||
\(171\) | 0.319340 | + | 8.45025i | 0.0244205 | + | 0.646207i | ||||
\(172\) | 28.1017 | − | 38.6787i | 2.14274 | − | 2.94923i | ||||
\(173\) | 8.78774 | + | 2.85531i | 0.668120 | + | 0.217085i | 0.623387 | − | 0.781914i | \(-0.285756\pi\) |
0.0447330 | + | 0.998999i | \(0.485756\pi\) | |||||||
\(174\) | 10.8133 | + | 31.2584i | 0.819751 | + | 2.36969i | ||||
\(175\) | 2.62570 | − | 12.9656i | 0.198484 | − | 0.980104i | ||||
\(176\) | 62.8146i | 4.73483i | ||||||||
\(177\) | −0.171934 | − | 9.10256i | −0.0129234 | − | 0.684190i | ||||
\(178\) | 0.769239 | + | 0.558885i | 0.0576569 | + | 0.0418902i | ||||
\(179\) | −3.54867 | + | 4.88433i | −0.265240 | + | 0.365072i | −0.920776 | − | 0.390093i | \(-0.872443\pi\) |
0.655535 | + | 0.755164i | \(0.272443\pi\) | |||||||
\(180\) | 28.4469 | + | 19.5200i | 2.12030 | + | 1.45493i | ||||
\(181\) | 11.7846 | + | 16.2201i | 0.875942 | + | 1.20563i | 0.977528 | + | 0.210804i | \(0.0676082\pi\) |
−0.101586 | + | 0.994827i | \(0.532392\pi\) | |||||||
\(182\) | 20.2352 | − | 2.77013i | 1.49993 | − | 0.205335i | ||||
\(183\) | −16.3325 | − | 11.4013i | −1.20733 | − | 0.842809i | ||||
\(184\) | −0.348707 | − | 1.07321i | −0.0257070 | − | 0.0791181i | ||||
\(185\) | −5.10594 | + | 6.86971i | −0.375396 | + | 0.505071i | ||||
\(186\) | 5.01635 | − | 0.0947517i | 0.367817 | − | 0.00694753i | ||||
\(187\) | −5.72350 | − | 17.6151i | −0.418544 | − | 1.28814i | ||||
\(188\) | 4.84966 | − | 1.57575i | 0.353698 | − | 0.114923i | ||||
\(189\) | −10.0612 | − | 9.36865i | −0.731847 | − | 0.681469i | ||||
\(190\) | 10.0488 | − | 13.5200i | 0.729016 | − | 0.980844i | ||||
\(191\) | −6.33023 | + | 2.05682i | −0.458039 | + | 0.148826i | −0.528943 | − | 0.848657i | \(-0.677412\pi\) |
0.0709040 | + | 0.997483i | \(0.477412\pi\) | |||||||
\(192\) | −17.5082 | + | 25.0807i | −1.26355 | + | 1.81005i | ||||
\(193\) | 10.0244i | 0.721570i | 0.932649 | + | 0.360785i | \(0.117491\pi\) | ||||
−0.932649 | + | 0.360785i | \(0.882509\pi\) | |||||||
\(194\) | 6.57051 | − | 4.77376i | 0.471735 | − | 0.342736i | ||||
\(195\) | −6.64781 | − | 8.99700i | −0.476059 | − | 0.644289i | ||||
\(196\) | −33.7407 | − | 12.5546i | −2.41005 | − | 0.896756i | ||||
\(197\) | −17.3158 | − | 12.5807i | −1.23370 | − | 0.896334i | −0.236537 | − | 0.971623i | \(-0.576012\pi\) |
−0.997162 | + | 0.0752881i | \(0.976012\pi\) | |||||||
\(198\) | −38.8661 | + | 14.2724i | −2.76209 | + | 1.01429i | ||||
\(199\) | 0.284386i | 0.0201596i | 0.999949 | + | 0.0100798i | \(0.00320855\pi\) | ||||
−0.999949 | + | 0.0100798i | \(0.996791\pi\) | |||||||
\(200\) | −12.1088 | − | 40.2165i | −0.856221 | − | 2.84374i | ||||
\(201\) | 1.32026 | + | 3.81653i | 0.0931238 | + | 0.269197i | ||||
\(202\) | 6.46440 | − | 19.8954i | 0.454834 | − | 1.39983i | ||||
\(203\) | −8.93466 | + | 16.6597i | −0.627090 | + | 1.16928i | ||||
\(204\) | 9.29754 | − | 30.5675i | 0.650958 | − | 2.14015i | ||||
\(205\) | −14.0334 | − | 10.4304i | −0.980135 | − | 0.728490i | ||||
\(206\) | −12.5814 | + | 9.14095i | −0.876590 | + | 0.636880i | ||||
\(207\) | 0.316868 | − | 0.249030i | 0.0220238 | − | 0.0173088i | ||||
\(208\) | 28.4243 | − | 20.6515i | 1.97087 | − | 1.43192i | ||||
\(209\) | 4.49801 | + | 13.8434i | 0.311134 | + | 0.957571i | ||||
\(210\) | 3.93234 | + | 27.1025i | 0.271357 | + | 1.87025i | ||||
\(211\) | 2.85557 | − | 8.78855i | 0.196586 | − | 0.605029i | −0.803369 | − | 0.595482i | \(-0.796961\pi\) |
0.999954 | − | 0.00954673i | \(-0.00303886\pi\) | |||||||
\(212\) | −11.9040 | − | 36.6368i | −0.817571 | − | 2.51622i | ||||
\(213\) | −17.7046 | + | 13.3812i | −1.21310 | + | 0.916862i | ||||
\(214\) | 3.37004 | − | 10.3719i | 0.230371 | − | 0.709010i | ||||
\(215\) | −12.0349 | − | 16.9484i | −0.820776 | − | 1.15587i | ||||
\(216\) | −42.2085 | − | 11.1155i | −2.87192 | − | 0.756312i | ||||
\(217\) | 1.98459 | + | 2.06987i | 0.134723 | + | 0.140512i | ||||
\(218\) | −21.0448 | −1.42534 | ||||||||
\(219\) | 3.99056 | − | 5.71653i | 0.269657 | − | 0.386287i | ||||
\(220\) | 56.2762 | + | 18.9628i | 3.79414 | + | 1.27847i | ||||
\(221\) | −6.08933 | + | 8.38125i | −0.409613 | + | 0.563784i | ||||
\(222\) | 5.15648 | − | 16.9529i | 0.346080 | − | 1.13781i | ||||
\(223\) | −7.63141 | + | 23.4871i | −0.511037 | + | 1.57281i | 0.279341 | + | 0.960192i | \(0.409884\pi\) |
−0.790378 | + | 0.612619i | \(0.790116\pi\) | |||||||
\(224\) | −41.1814 | + | 5.63759i | −2.75155 | + | 0.376677i | ||||
\(225\) | 11.9920 | − | 9.01064i | 0.799467 | − | 0.600710i | ||||
\(226\) | −17.6579 | −1.17458 | ||||||||
\(227\) | 7.56273 | + | 2.45728i | 0.501956 | + | 0.163095i | 0.549041 | − | 0.835795i | \(-0.314993\pi\) |
−0.0470848 | + | 0.998891i | \(0.514993\pi\) | |||||||
\(228\) | −7.30679 | + | 24.0225i | −0.483904 | + | 1.59093i | ||||
\(229\) | 16.0699 | − | 22.1183i | 1.06193 | − | 1.46162i | 0.183939 | − | 0.982938i | \(-0.441115\pi\) |
0.877989 | − | 0.478681i | \(-0.158885\pi\) | |||||||
\(230\) | −0.802784 | − | 0.00871169i | −0.0529340 | − | 0.000574432i | ||||
\(231\) | −21.0618 | − | 10.7884i | −1.38576 | − | 0.709825i | ||||
\(232\) | 60.0192i | 3.94045i | ||||||||
\(233\) | −3.14439 | + | 2.28453i | −0.205996 | + | 0.149665i | −0.686000 | − | 0.727601i | \(-0.740635\pi\) |
0.480004 | + | 0.877266i | \(0.340635\pi\) | |||||||
\(234\) | 19.2364 | + | 12.8950i | 1.25752 | + | 0.842974i | ||||
\(235\) | 0.0240577 | − | 2.21692i | 0.00156935 | − | 0.144616i | ||||
\(236\) | 8.35365 | − | 25.7099i | 0.543776 | − | 1.67357i | ||||
\(237\) | 15.5895 | + | 20.6265i | 1.01265 | + | 1.33983i | ||||
\(238\) | 22.8350 | − | 11.0365i | 1.48018 | − | 0.715390i | ||||
\(239\) | 11.8426 | + | 3.84789i | 0.766033 | + | 0.248899i | 0.665866 | − | 0.746071i | \(-0.268062\pi\) |
0.100167 | + | 0.994971i | \(0.468062\pi\) | |||||||
\(240\) | 27.9968 | + | 37.8903i | 1.80718 | + | 2.44581i | ||||
\(241\) | −5.68929 | + | 1.84856i | −0.366480 | + | 0.119076i | −0.486467 | − | 0.873699i | \(-0.661715\pi\) |
0.119987 | + | 0.992775i | \(0.461715\pi\) | |||||||
\(242\) | −33.8733 | + | 24.6104i | −2.17746 | + | 1.58201i | ||||
\(243\) | −1.46986 | − | 15.5190i | −0.0942913 | − | 0.995545i | ||||
\(244\) | −34.7636 | − | 47.8480i | −2.22551 | − | 3.06316i | ||||
\(245\) | −9.85710 | + | 12.1588i | −0.629747 | + | 0.776800i | ||||
\(246\) | 34.6314 | + | 10.5336i | 2.20801 | + | 0.671599i | ||||
\(247\) | 4.78551 | − | 6.58669i | 0.304495 | − | 0.419101i | ||||
\(248\) | 8.65865 | + | 2.81337i | 0.549825 | + | 0.178649i | ||||
\(249\) | −0.794961 | − | 2.29803i | −0.0503786 | − | 0.145632i | ||||
\(250\) | −29.8651 | − | 0.972579i | −1.88883 | − | 0.0615113i | ||||
\(251\) | 19.7143 | 1.24435 | 0.622177 | − | 0.782877i | \(-0.286248\pi\) | ||||
0.622177 | + | 0.782877i | \(0.286248\pi\) | |||||||
\(252\) | −19.1387 | − | 36.0564i | −1.20563 | − | 2.27134i | ||||
\(253\) | 0.407754 | − | 0.561226i | 0.0256353 | − | 0.0352840i | ||||
\(254\) | 7.80574 | − | 10.7437i | 0.489776 | − | 0.674119i | ||||
\(255\) | −11.3036 | − | 8.07458i | −0.707859 | − | 0.505650i | ||||
\(256\) | −5.53918 | + | 4.02445i | −0.346199 | + | 0.251528i | ||||
\(257\) | − | 22.7268i | − | 1.41766i | −0.705380 | − | 0.708830i | \(-0.749223\pi\) | ||
0.705380 | − | 0.708830i | \(-0.250777\pi\) | |||||||
\(258\) | 35.2859 | + | 24.6321i | 2.19680 | + | 1.53353i | ||||
\(259\) | 9.11847 | − | 4.40708i | 0.566594 | − | 0.273843i | ||||
\(260\) | −9.92096 | − | 31.7000i | −0.615272 | − | 1.96595i | ||||
\(261\) | −20.1217 | + | 7.38906i | −1.24550 | + | 0.457371i | ||||
\(262\) | −11.3107 | − | 34.8107i | −0.698777 | − | 2.15061i | ||||
\(263\) | −9.98243 | − | 30.7228i | −0.615543 | − | 1.89445i | −0.393073 | − | 0.919507i | \(-0.628588\pi\) |
−0.222470 | − | 0.974939i | \(-0.571412\pi\) | |||||||
\(264\) | −75.1175 | + | 1.41886i | −4.62316 | + | 0.0873249i | ||||
\(265\) | −16.7478 | − | 0.181744i | −1.02881 | − | 0.0111645i | ||||
\(266\) | −17.9457 | + | 8.67341i | −1.10032 | + | 0.531801i | ||||
\(267\) | −0.352717 | + | 0.505271i | −0.0215859 | + | 0.0309221i | ||||
\(268\) | 11.9913i | 0.732485i | ||||||||
\(269\) | −7.53735 | + | 5.47620i | −0.459560 | + | 0.333890i | −0.793359 | − | 0.608754i | \(-0.791669\pi\) |
0.333799 | + | 0.942644i | \(0.391669\pi\) | |||||||
\(270\) | −17.0831 | + | 25.9320i | −1.03964 | + | 1.57817i | ||||
\(271\) | 10.0272 | − | 13.8013i | 0.609110 | − | 0.838369i | −0.387394 | − | 0.921914i | \(-0.626625\pi\) |
0.996504 | + | 0.0835459i | \(0.0266245\pi\) | |||||||
\(272\) | 25.6448 | − | 35.2971i | 1.55494 | − | 2.14020i | ||||
\(273\) | 2.04257 | + | 13.0776i | 0.123622 | + | 0.791491i | ||||
\(274\) | −13.1324 | −0.793359 | ||||||||
\(275\) | 15.6261 | − | 20.5542i | 0.942290 | − | 1.23947i | ||||
\(276\) | 1.13091 | − | 0.391219i | 0.0680730 | − | 0.0235486i | ||||
\(277\) | 12.2919 | + | 3.99388i | 0.738549 | + | 0.239969i | 0.654047 | − | 0.756454i | \(-0.273070\pi\) |
0.0845023 | + | 0.996423i | \(0.473070\pi\) | |||||||
\(278\) | −32.9386 | + | 45.3361i | −1.97553 | + | 2.71908i | ||||
\(279\) | 0.122789 | + | 3.24920i | 0.00735121 | + | 0.194525i | ||||
\(280\) | −9.33458 | + | 48.8104i | −0.557848 | + | 2.91698i | ||||
\(281\) | 6.70687 | + | 9.23121i | 0.400098 | + | 0.550688i | 0.960769 | − | 0.277351i | \(-0.0894565\pi\) |
−0.560670 | + | 0.828039i | \(0.689457\pi\) | |||||||
\(282\) | 1.50050 | + | 4.33757i | 0.0893535 | + | 0.258298i | ||||
\(283\) | −12.7196 | + | 9.24136i | −0.756104 | + | 0.549342i | −0.897713 | − | 0.440581i | \(-0.854772\pi\) |
0.141609 | + | 0.989923i | \(0.454772\pi\) | |||||||
\(284\) | −62.6708 | + | 20.3630i | −3.71883 | + | 1.20832i | ||||
\(285\) | 8.88332 | + | 6.34569i | 0.526202 | + | 0.375886i | ||||
\(286\) | 37.9120 | + | 12.3183i | 2.24178 | + | 0.728399i | ||||
\(287\) | 9.00277 | + | 18.6272i | 0.531417 | + | 1.09953i | ||||
\(288\) | −39.1486 | − | 26.2432i | −2.30686 | − | 1.54639i | ||||
\(289\) | 1.27788 | − | 3.93292i | 0.0751696 | − | 0.231348i | ||||
\(290\) | 40.4653 | + | 13.6352i | 2.37620 | + | 0.800685i | ||||
\(291\) | 3.17359 | + | 4.19896i | 0.186039 | + | 0.246148i | ||||
\(292\) | 16.7472 | − | 12.1676i | 0.980058 | − | 0.712054i | ||||
\(293\) | − | 10.9949i | − | 0.642329i | −0.947023 | − | 0.321165i | \(-0.895926\pi\) | ||
0.947023 | − | 0.321165i | \(-0.104074\pi\) | |||||||
\(294\) | 10.7247 | − | 30.5777i | 0.625478 | − | 1.78333i | ||||
\(295\) | −9.43322 | − | 7.01128i | −0.549223 | − | 0.408212i | ||||
\(296\) | 18.8997 | − | 26.0133i | 1.09853 | − | 1.51199i | ||||
\(297\) | −9.72352 | − | 25.0087i | −0.564216 | − | 1.45115i | ||||
\(298\) | 18.6339 | + | 6.05453i | 1.07944 | + | 0.350730i | ||||
\(299\) | −0.388018 | −0.0224396 | ||||||||
\(300\) | 42.3980 | − | 13.6441i | 2.44785 | − | 0.787740i | ||||
\(301\) | 3.33588 | + | 24.3679i | 0.192277 | + | 1.40454i | ||||
\(302\) | 6.63334 | − | 20.4153i | 0.381706 | − | 1.17477i | ||||
\(303\) | 12.9704 | + | 3.94513i | 0.745130 | + | 0.226642i | ||||
\(304\) | −20.1538 | + | 27.7394i | −1.15590 | + | 1.59096i | ||||
\(305\) | −24.5407 | + | 7.68037i | −1.40520 | + | 0.439777i | ||||
\(306\) | 27.6667 | + | 7.84754i | 1.58160 | + | 0.448614i | ||||
\(307\) | −11.6700 | −0.666043 | −0.333022 | − | 0.942919i | \(-0.608068\pi\) | ||||
−0.333022 | + | 0.942919i | \(0.608068\pi\) | |||||||
\(308\) | −48.6294 | − | 50.7189i | −2.77092 | − | 2.88998i | ||||
\(309\) | −6.07689 | − | 8.04031i | −0.345702 | − | 0.457397i | ||||
\(310\) | 3.86386 | − | 5.19857i | 0.219453 | − | 0.295259i | ||||
\(311\) | 1.26988 | − | 3.90830i | 0.0720085 | − | 0.221619i | −0.908575 | − | 0.417722i | \(-0.862829\pi\) |
0.980583 | + | 0.196103i | \(0.0628286\pi\) | |||||||
\(312\) | 25.3383 | + | 33.5250i | 1.43450 | + | 1.89798i | ||||
\(313\) | 3.25065 | + | 10.0045i | 0.183737 | + | 0.565486i | 0.999924 | − | 0.0123024i | \(-0.00391607\pi\) |
−0.816187 | + | 0.577788i | \(0.803916\pi\) | |||||||
\(314\) | −5.88118 | + | 18.1004i | −0.331894 | + | 1.02146i | ||||
\(315\) | −17.5131 | + | 2.87968i | −0.986749 | + | 0.162251i | ||||
\(316\) | 23.7236 | + | 73.0138i | 1.33456 | + | 4.10735i | ||||
\(317\) | −0.931973 | + | 0.677118i | −0.0523448 | + | 0.0380307i | −0.613650 | − | 0.789578i | \(-0.710299\pi\) |
0.561305 | + | 0.827609i | \(0.310299\pi\) | |||||||
\(318\) | 32.7682 | − | 11.3356i | 1.83755 | − | 0.635666i | ||||
\(319\) | −29.8503 | + | 21.6875i | −1.67130 | + | 1.21427i | ||||
\(320\) | 11.7942 | + | 37.6855i | 0.659317 | + | 2.10668i | ||||
\(321\) | 6.76177 | + | 2.05669i | 0.377405 | + | 0.114793i | ||||
\(322\) | 0.837132 | + | 0.448958i | 0.0466516 | + | 0.0250195i | ||||
\(323\) | 3.12421 | − | 9.61532i | 0.173836 | − | 0.535011i | ||||
\(324\) | 10.9401 | − | 44.9752i | 0.607785 | − | 2.49862i | ||||
\(325\) | −14.4384 | − | 0.313403i | −0.800898 | − | 0.0173845i | ||||
\(326\) | 20.1126i | 1.11393i | ||||||||
\(327\) | −0.257566 | − | 13.6361i | −0.0142434 | − | 0.754076i | ||||
\(328\) | 53.1397 | + | 38.6083i | 2.93415 | + | 2.13179i | ||||
\(329\) | −1.23982 | + | 2.31178i | −0.0683533 | + | 0.127452i | ||||
\(330\) | −16.1086 | + | 50.9670i | −0.886749 | + | 2.80564i | ||||
\(331\) | −7.85939 | + | 5.71018i | −0.431991 | + | 0.313860i | −0.782444 | − | 0.622720i | \(-0.786027\pi\) |
0.350454 | + | 0.936580i | \(0.386027\pi\) | |||||||
\(332\) | − | 7.22026i | − | 0.396264i | ||||||
\(333\) | 11.0478 | + | 3.13367i | 0.605417 | + | 0.171724i | ||||
\(334\) | −6.56476 | + | 2.13302i | −0.359208 | + | 0.116714i | ||||
\(335\) | 4.94065 | + | 1.66480i | 0.269937 | + | 0.0909578i | ||||
\(336\) | −8.60215 | − | 55.0753i | −0.469286 | − | 3.00461i | ||||
\(337\) | 29.8202 | − | 9.68918i | 1.62441 | − | 0.527803i | 0.651434 | − | 0.758705i | \(-0.274168\pi\) |
0.972977 | + | 0.230902i | \(0.0741678\pi\) | |||||||
\(338\) | 3.84647 | + | 11.8382i | 0.209221 | + | 0.643915i | ||||
\(339\) | −0.216113 | − | 11.4415i | −0.0117377 | − | 0.621416i | ||||
\(340\) | −23.8812 | − | 33.6311i | −1.29514 | − | 1.82390i | ||||
\(341\) | 1.72953 | + | 5.32294i | 0.0936591 | + | 0.288253i | ||||
\(342\) | −21.7428 | − | 6.16726i | −1.17571 | − | 0.333487i | ||||
\(343\) | 16.9989 | − | 7.35095i | 0.917856 | − | 0.396914i | ||||
\(344\) | 45.8985 | + | 63.1738i | 2.47468 | + | 3.40611i | ||||
\(345\) | −0.00418044 | − | 0.520274i | −0.000225067 | − | 0.0280106i | ||||
\(346\) | −14.5154 | + | 19.9787i | −0.780352 | + | 1.07406i | ||||
\(347\) | −4.42584 | − | 3.21556i | −0.237591 | − | 0.172620i | 0.462618 | − | 0.886558i | \(-0.346910\pi\) |
−0.700210 | + | 0.713937i | \(0.746910\pi\) | |||||||
\(348\) | −63.6368 | + | 1.20201i | −3.41129 | + | 0.0644344i | ||||
\(349\) | − | 23.3526i | − | 1.25004i | −0.780610 | − | 0.625018i | \(-0.785092\pi\) | ||
0.780610 | − | 0.625018i | \(-0.214908\pi\) | |||||||
\(350\) | 30.7876 | + | 17.3822i | 1.64567 | + | 0.929117i | ||||
\(351\) | −8.11995 | + | 12.6221i | −0.433411 | + | 0.673718i | ||||
\(352\) | −77.1561 | − | 25.0695i | −4.11243 | − | 1.33621i | ||||
\(353\) | 7.16551 | − | 9.86248i | 0.381382 | − | 0.524927i | −0.574568 | − | 0.818457i | \(-0.694830\pi\) |
0.955950 | + | 0.293530i | \(0.0948300\pi\) | |||||||
\(354\) | 23.2791 | + | 7.08067i | 1.23727 | + | 0.376334i | ||||
\(355\) | −0.310891 | + | 28.6487i | −0.0165004 | + | 1.52051i | ||||
\(356\) | −1.48025 | + | 1.07547i | −0.0784532 | + | 0.0569996i | ||||
\(357\) | 7.43062 | + | 14.6610i | 0.393270 | + | 0.775941i | ||||
\(358\) | −9.48429 | − | 13.0540i | −0.501260 | − | 0.689926i | ||||
\(359\) | 18.4881 | − | 6.00716i | 0.975767 | − | 0.317046i | 0.222625 | − | 0.974904i | \(-0.428537\pi\) |
0.753142 | + | 0.657858i | \(0.228537\pi\) | |||||||
\(360\) | −44.6791 | + | 34.3361i | −2.35479 | + | 1.80967i | ||||
\(361\) | 3.41606 | − | 10.5135i | 0.179793 | − | 0.553344i | ||||
\(362\) | −50.9614 | + | 16.5584i | −2.67847 | + | 0.870288i | ||||
\(363\) | −16.3610 | − | 21.6471i | −0.858727 | − | 1.13618i | ||||
\(364\) | −6.96306 | + | 38.6802i | −0.364963 | + | 2.02739i | ||||
\(365\) | −2.68820 | − | 8.58947i | −0.140707 | − | 0.449594i | ||||
\(366\) | 42.4690 | − | 32.0982i | 2.21989 | − | 1.67780i | ||||
\(367\) | 6.64005 | − | 4.82428i | 0.346608 | − | 0.251825i | −0.400837 | − | 0.916149i | \(-0.631281\pi\) |
0.747445 | + | 0.664324i | \(0.231281\pi\) | |||||||
\(368\) | 1.63411 | 0.0851839 | ||||||||
\(369\) | −6.40145 | + | 22.5684i | −0.333246 | + | 1.17487i | ||||
\(370\) | −13.2446 | − | 18.6520i | −0.688556 | − | 0.969672i | ||||
\(371\) | 17.4643 | + | 9.36621i | 0.906704 | + | 0.486270i | ||||
\(372\) | −2.80953 | + | 9.23688i | −0.145667 | + | 0.478910i | ||||
\(373\) | 3.74076 | + | 1.21545i | 0.193689 | + | 0.0629335i | 0.404255 | − | 0.914646i | \(-0.367531\pi\) |
−0.210566 | + | 0.977580i | \(0.567531\pi\) | |||||||
\(374\) | 49.5015 | 2.55966 | ||||||||
\(375\) | 0.264670 | − | 19.3631i | 0.0136675 | − | 0.999907i | ||||
\(376\) | 8.32855i | 0.429512i | ||||||||
\(377\) | 19.6277 | + | 6.37743i | 1.01088 | + | 0.328454i | ||||
\(378\) | 32.1229 | − | 17.8364i | 1.65222 | − | 0.917406i | ||||
\(379\) | −15.2627 | − | 11.0890i | −0.783990 | − | 0.569602i | 0.122184 | − | 0.992507i | \(-0.461010\pi\) |
−0.906174 | + | 0.422905i | \(0.861010\pi\) | |||||||
\(380\) | 18.7678 | + | 26.4301i | 0.962769 | + | 1.35584i | ||||
\(381\) | 7.05694 | + | 4.92627i | 0.361538 | + | 0.252380i | ||||
\(382\) | − | 17.7890i | − | 0.910166i | ||||||
\(383\) | −13.5050 | − | 18.5881i | −0.690075 | − | 0.949807i | 0.309924 | − | 0.950761i | \(-0.399696\pi\) |
−1.00000 | 0.000954319i | \(0.999696\pi\) | ||||||||
\(384\) | −16.4767 | − | 21.8003i | −0.840824 | − | 1.11249i | ||||
\(385\) | −27.6487 | + | 12.9948i | −1.40911 | + | 0.662276i | ||||
\(386\) | −25.4802 | − | 8.27901i | −1.29691 | − | 0.421391i | ||||
\(387\) | −15.5286 | + | 23.1651i | −0.789365 | + | 1.17755i | ||||
\(388\) | 4.82945 | + | 14.8635i | 0.245178 | + | 0.754582i | ||||
\(389\) | 9.03650 | + | 2.93614i | 0.458169 | + | 0.148868i | 0.529003 | − | 0.848620i | \(-0.322566\pi\) |
−0.0708340 | + | 0.997488i | \(0.522566\pi\) | |||||||
\(390\) | 28.3591 | − | 9.46703i | 1.43602 | − | 0.479382i | ||||
\(391\) | −0.458254 | + | 0.148896i | −0.0231749 | + | 0.00752998i | ||||
\(392\) | 36.5312 | − | 46.0749i | 1.84511 | − | 2.32713i | ||||
\(393\) | 22.4173 | − | 7.75485i | 1.13080 | − | 0.391180i | ||||
\(394\) | 46.2787 | − | 33.6235i | 2.33149 | − | 1.69393i | ||||
\(395\) | 33.3768 | + | 0.362200i | 1.67937 | + | 0.0182242i | ||||
\(396\) | −3.00876 | − | 79.6167i | −0.151196 | − | 4.00089i | ||||
\(397\) | 22.4386 | + | 16.3026i | 1.12616 | + | 0.818203i | 0.985131 | − | 0.171802i | \(-0.0549589\pi\) |
0.141029 | + | 0.990005i | \(0.454959\pi\) | |||||||
\(398\) | −0.722859 | − | 0.234871i | −0.0362336 | − | 0.0117730i | ||||
\(399\) | −5.83960 | − | 11.5218i | −0.292346 | − | 0.576813i | ||||
\(400\) | 60.8063 | + | 1.31988i | 3.04032 | + | 0.0659938i | ||||
\(401\) | 7.67254i | 0.383148i | 0.981478 | + | 0.191574i | \(0.0613592\pi\) | ||||
−0.981478 | + | 0.191574i | \(0.938641\pi\) | |||||||
\(402\) | −10.7913 | + | 0.203833i | −0.538223 | + | 0.0101663i | ||||
\(403\) | 1.84007 | − | 2.53265i | 0.0916607 | − | 0.126160i | ||||
\(404\) | 32.5670 | + | 23.6613i | 1.62027 | + | 1.17719i | ||||
\(405\) | −17.0118 | − | 10.7516i | −0.845324 | − | 0.534254i | ||||
\(406\) | −34.9669 | − | 36.4694i | −1.73538 | − | 1.80994i | ||||
\(407\) | 19.7669 | 0.979808 | ||||||||
\(408\) | 42.7896 | + | 29.8703i | 2.11840 | + | 1.47880i | ||||
\(409\) | −31.1297 | + | 10.1147i | −1.53927 | + | 0.500138i | −0.951174 | − | 0.308655i | \(-0.900121\pi\) |
−0.588093 | + | 0.808793i | \(0.700121\pi\) | |||||||
\(410\) | 38.1022 | − | 27.0561i | 1.88174 | − | 1.33621i | ||||
\(411\) | −0.160727 | − | 8.50920i | −0.00792806 | − | 0.419728i | ||||
\(412\) | −9.24760 | − | 28.4612i | −0.455597 | − | 1.40218i | ||||
\(413\) | 6.05164 | + | 12.5211i | 0.297782 | + | 0.616125i | ||||
\(414\) | 0.371293 | + | 1.01109i | 0.0182481 | + | 0.0496926i | ||||
\(415\) | −2.97489 | − | 1.00242i | −0.146032 | − | 0.0492068i | ||||
\(416\) | 14.0223 | + | 43.1561i | 0.687498 | + | 2.11590i | ||||
\(417\) | −29.7789 | − | 20.7878i | −1.45828 | − | 1.01799i | ||||
\(418\) | −38.9024 | −1.90278 | ||||||||
\(419\) | −24.6420 | + | 17.9034i | −1.20384 | + | 0.874640i | −0.994657 | − | 0.103237i | \(-0.967080\pi\) |
−0.209181 | + | 0.977877i | \(0.567080\pi\) | |||||||
\(420\) | −51.9393 | − | 8.91968i | −2.53438 | − | 0.435236i | ||||
\(421\) | −4.23993 | − | 3.08049i | −0.206641 | − | 0.150134i | 0.479651 | − | 0.877459i | \(-0.340763\pi\) |
−0.686293 | + | 0.727325i | \(0.740763\pi\) | |||||||
\(422\) | 19.9806 | + | 14.5167i | 0.972638 | + | 0.706663i | ||||
\(423\) | −2.79218 | + | 1.02534i | −0.135760 | + | 0.0498539i | ||||
\(424\) | 62.9182 | 3.05558 | ||||||||
\(425\) | −17.1722 | + | 5.17038i | −0.832974 | + | 0.250800i | ||||
\(426\) | −19.3906 | − | 56.0532i | −0.939476 | − | 2.71579i | ||||
\(427\) | 29.9445 | + | 5.39049i | 1.44912 | + | 0.260864i | ||||
\(428\) | 16.9779 | + | 12.3352i | 0.820659 | + | 0.596244i | ||||
\(429\) | −7.51772 | + | 24.7160i | −0.362959 | + | 1.19330i | ||||
\(430\) | 53.0194 | − | 16.5932i | 2.55682 | − | 0.800194i | ||||
\(431\) | −4.20080 | − | 5.78191i | −0.202346 | − | 0.278505i | 0.695770 | − | 0.718265i | \(-0.255063\pi\) |
−0.898115 | + | 0.439760i | \(0.855063\pi\) | |||||||
\(432\) | 34.1966 | − | 53.1571i | 1.64529 | − | 2.55752i | ||||
\(433\) | −13.1786 | + | 9.57479i | −0.633321 | + | 0.460135i | −0.857549 | − | 0.514402i | \(-0.828014\pi\) |
0.224228 | + | 0.974537i | \(0.428014\pi\) | |||||||
\(434\) | −6.90030 | + | 3.33501i | −0.331225 | + | 0.160086i | ||||
\(435\) | −8.33971 | + | 26.3865i | −0.399858 | + | 1.26514i | ||||
\(436\) | 12.5142 | − | 38.5146i | 0.599320 | − | 1.84452i | ||||
\(437\) | 0.360134 | − | 0.117015i | 0.0172276 | − | 0.00559758i | ||||
\(438\) | 11.2347 | + | 14.8645i | 0.536812 | + | 0.710254i | ||||
\(439\) | 14.5351 | + | 4.72275i | 0.693725 | + | 0.225405i | 0.634594 | − | 0.772845i | \(-0.281167\pi\) |
0.0591304 | + | 0.998250i | \(0.481167\pi\) | |||||||
\(440\) | −57.8595 | + | 77.8462i | −2.75834 | + | 3.71117i | ||||
\(441\) | 19.9442 | + | 6.57488i | 0.949724 | + | 0.313090i | ||||
\(442\) | −16.2745 | − | 22.4000i | −0.774101 | − | 1.06546i | ||||
\(443\) | −15.2591 | −0.724980 | −0.362490 | − | 0.931988i | \(-0.618073\pi\) | ||||
−0.362490 | + | 0.931988i | \(0.618073\pi\) | |||||||
\(444\) | 27.9597 | + | 19.5179i | 1.32691 | + | 0.926280i | ||||
\(445\) | 0.237604 | + | 0.759205i | 0.0112635 | + | 0.0359898i | ||||
\(446\) | −53.3973 | − | 38.7954i | −2.52844 | − | 1.83702i | ||||
\(447\) | −3.69500 | + | 12.1480i | −0.174767 | + | 0.574582i | ||||
\(448\) | 8.27781 | − | 45.9837i | 0.391090 | − | 2.17252i | ||||
\(449\) | − | 26.2787i | − | 1.24017i | −0.784534 | − | 0.620085i | \(-0.787098\pi\) | ||
0.784534 | − | 0.620085i | \(-0.212902\pi\) | |||||||
\(450\) | 12.9994 | + | 37.9234i | 0.612798 | + | 1.78772i | ||||
\(451\) | 40.3797i | 1.90141i | ||||||||
\(452\) | 10.5001 | − | 32.3161i | 0.493885 | − | 1.52002i | ||||
\(453\) | 13.3094 | + | 4.04824i | 0.625329 | + | 0.190203i | ||||
\(454\) | −12.4919 | + | 17.1937i | −0.586276 | + | 0.806940i | ||||
\(455\) | 14.9703 | + | 8.23905i | 0.701819 | + | 0.386253i | ||||
\(456\) | −33.6277 | − | 23.4746i | −1.57476 | − | 1.09930i | ||||
\(457\) | 33.8353i | 1.58275i | 0.611331 | + | 0.791375i | \(0.290634\pi\) | ||||
−0.611331 | + | 0.791375i | \(0.709366\pi\) | |||||||
\(458\) | 42.9489 | + | 59.1141i | 2.00687 | + | 2.76222i | ||||
\(459\) | −4.74623 | + | 18.0228i | −0.221535 | + | 0.841230i | ||||
\(460\) | 0.493314 | − | 1.46401i | 0.0230009 | − | 0.0682600i | ||||
\(461\) | −4.20166 | + | 12.9314i | −0.195691 | + | 0.602275i | 0.804277 | + | 0.594255i | \(0.202553\pi\) |
−0.999968 | + | 0.00802015i | \(0.997447\pi\) | |||||||
\(462\) | 44.8169 | − | 44.6253i | 2.08507 | − | 2.07616i | ||||
\(463\) | −19.4483 | + | 6.31913i | −0.903838 | + | 0.293675i | −0.723820 | − | 0.689989i | \(-0.757616\pi\) |
−0.180018 | + | 0.983663i | \(0.557616\pi\) | |||||||
\(464\) | −82.6607 | − | 26.8581i | −3.83743 | − | 1.24686i | ||||
\(465\) | 3.41572 | + | 2.43998i | 0.158400 | + | 0.113151i | ||||
\(466\) | −3.20996 | − | 9.87924i | −0.148699 | − | 0.457647i | ||||
\(467\) | 7.69411 | + | 10.5900i | 0.356041 | + | 0.490049i | 0.949040 | − | 0.315154i | \(-0.102056\pi\) |
−0.592999 | + | 0.805203i | \(0.702056\pi\) | |||||||
\(468\) | −35.0383 | + | 27.5370i | −1.61964 | + | 1.27290i | ||||
\(469\) | −4.26932 | − | 4.45277i | −0.197139 | − | 0.205610i | ||||
\(470\) | 5.61516 | + | 1.89208i | 0.259008 | + | 0.0872753i | ||||
\(471\) | −11.8002 | − | 3.58920i | −0.543725 | − | 0.165382i | ||||
\(472\) | 35.7204 | + | 25.9524i | 1.64416 | + | 1.19456i | ||||
\(473\) | −14.8342 | + | 45.6549i | −0.682076 | + | 2.09921i | ||||
\(474\) | −65.3041 | + | 22.5907i | −2.99952 | + | 1.03763i | ||||
\(475\) | 13.4954 | − | 4.06332i | 0.619209 | − | 0.186438i | ||||
\(476\) | 6.61945 | + | 48.3537i | 0.303402 | + | 2.21629i | ||||
\(477\) | 7.74596 | + | 21.0936i | 0.354663 | + | 0.965807i | ||||
\(478\) | −19.5613 | + | 26.9238i | −0.894713 | + | 1.23147i | ||||
\(479\) | −33.9559 | − | 24.6704i | −1.55148 | − | 1.12722i | −0.942582 | − | 0.333975i | \(-0.891610\pi\) |
−0.608903 | − | 0.793245i | \(-0.708390\pi\) | |||||||
\(480\) | −57.7148 | + | 19.2667i | −2.63431 | + | 0.879401i | ||||
\(481\) | −6.49874 | − | 8.94474i | −0.296317 | − | 0.407845i | ||||
\(482\) | − | 15.9879i | − | 0.728229i | ||||||
\(483\) | −0.280658 | + | 0.547918i | −0.0127704 | + | 0.0249311i | ||||
\(484\) | −24.8975 | − | 76.6267i | −1.13171 | − | 3.48303i | ||||
\(485\) | 6.79457 | + | 0.0737335i | 0.308525 | + | 0.00334807i | ||||
\(486\) | 40.6605 | + | 9.08086i | 1.84440 | + | 0.411916i | ||||
\(487\) | −21.4968 | + | 6.98474i | −0.974113 | + | 0.316509i | −0.752475 | − | 0.658620i | \(-0.771140\pi\) |
−0.221638 | + | 0.975129i | \(0.571140\pi\) | |||||||
\(488\) | 91.8708 | − | 29.8506i | 4.15880 | − | 1.35128i | ||||
\(489\) | −13.0320 | + | 0.246156i | −0.589329 | + | 0.0111316i | ||||
\(490\) | −22.7648 | − | 35.0969i | −1.02841 | − | 1.58552i | ||||
\(491\) | −22.9353 | + | 7.45214i | −1.03506 | + | 0.336311i | −0.776788 | − | 0.629762i | \(-0.783152\pi\) |
−0.258270 | + | 0.966073i | \(0.583152\pi\) | |||||||
\(492\) | −39.8711 | + | 57.1159i | −1.79753 | + | 2.57498i | ||||
\(493\) | 25.6278 | 1.15422 | ||||||||
\(494\) | 12.7899 | + | 17.6038i | 0.575445 | + | 0.792032i | ||||
\(495\) | −33.2214 | − | 9.81385i | −1.49319 | − | 0.441100i | ||||
\(496\) | −7.74935 | + | 10.6661i | −0.347956 | + | 0.478920i | ||||
\(497\) | 16.0218 | − | 29.8745i | 0.718677 | − | 1.34005i | ||||
\(498\) | 6.49774 | − | 0.122733i | 0.291171 | − | 0.00549980i | ||||
\(499\) | −27.7320 | −1.24146 | −0.620728 | − | 0.784026i | \(-0.713163\pi\) | ||||
−0.620728 | + | 0.784026i | \(0.713163\pi\) | |||||||
\(500\) | 19.5390 | − | 54.0785i | 0.873812 | − | 2.41846i | ||||
\(501\) | −1.46244 | − | 4.22756i | −0.0653372 | − | 0.188873i | ||||
\(502\) | −16.2818 | + | 50.1102i | −0.726692 | + | 2.23653i | ||||
\(503\) | 11.1370 | − | 15.3288i | 0.496576 | − | 0.683479i | −0.485008 | − | 0.874510i | \(-0.661183\pi\) |
0.981584 | + | 0.191031i | \(0.0611832\pi\) | |||||||
\(504\) | 65.6681 | − | 11.5310i | 2.92509 | − | 0.513632i | ||||
\(505\) | 14.2703 | − | 10.1333i | 0.635022 | − | 0.450924i | ||||
\(506\) | 1.08978 | + | 1.49995i | 0.0484465 | + | 0.0666809i | ||||
\(507\) | −7.62355 | + | 2.63722i | −0.338574 | + | 0.117123i | ||||
\(508\) | 15.0206 | + | 20.6741i | 0.666433 | + | 0.917266i | ||||
\(509\) | −0.636297 | − | 1.95832i | −0.0282034 | − | 0.0868011i | 0.935964 | − | 0.352096i | \(-0.114531\pi\) |
−0.964167 | + | 0.265295i | \(0.914531\pi\) | |||||||
\(510\) | 29.8597 | − | 22.0631i | 1.32221 | − | 0.976969i | ||||
\(511\) | −1.88672 | + | 10.4808i | −0.0834636 | + | 0.463645i | ||||
\(512\) | 4.09598 | + | 12.6061i | 0.181019 | + | 0.557118i | ||||
\(513\) | 3.72999 | − | 14.1638i | 0.164683 | − | 0.625347i | ||||
\(514\) | 57.7675 | + | 18.7698i | 2.54802 | + | 0.827901i | ||||
\(515\) | −13.0105 | − | 0.141187i | −0.573310 | − | 0.00622146i | ||||
\(516\) | −66.0624 | + | 49.9302i | −2.90823 | + | 2.19805i | ||||
\(517\) | −4.14218 | + | 3.00947i | −0.182173 | + | 0.132356i | ||||
\(518\) | 3.67119 | + | 26.8173i | 0.161303 | + | 1.17828i | ||||
\(519\) | −13.1229 | − | 9.16079i | −0.576033 | − | 0.402114i | ||||
\(520\) | 54.2487 | + | 0.588698i | 2.37896 | + | 0.0258161i | ||||
\(521\) | −20.6922 | − | 15.0337i | −0.906540 | − | 0.658640i | 0.0335974 | − | 0.999435i | \(-0.489304\pi\) |
−0.940137 | + | 0.340796i | \(0.889304\pi\) | |||||||
\(522\) | −2.16345 | − | 57.2483i | −0.0946915 | − | 2.50569i | ||||
\(523\) | 10.6260 | − | 32.7035i | 0.464643 | − | 1.43002i | −0.394788 | − | 0.918772i | \(-0.629182\pi\) |
0.859431 | − | 0.511252i | \(-0.170818\pi\) | |||||||
\(524\) | 70.4338 | 3.07691 | ||||||||
\(525\) | −10.8860 | + | 20.1617i | −0.475106 | + | 0.879929i | ||||
\(526\) | 86.3362 | 3.76444 | ||||||||
\(527\) | 1.20129 | − | 3.69719i | 0.0523290 | − | 0.161052i | ||||
\(528\) | 31.6604 | − | 104.090i | 1.37784 | − | 4.52992i | ||||
\(529\) | 18.5928 | + | 13.5085i | 0.808382 | + | 0.587324i | ||||
\(530\) | 14.2938 | − | 42.4198i | 0.620881 | − | 1.84260i | ||||
\(531\) | −4.30304 | + | 15.1704i | −0.186736 | + | 0.658341i | ||||
\(532\) | −5.20212 | − | 38.0004i | −0.225541 | − | 1.64753i | ||||
\(533\) | 18.2723 | − | 13.2756i | 0.791460 | − | 0.575029i | ||||
\(534\) | −0.993006 | − | 1.31384i | −0.0429716 | − | 0.0568555i | ||||
\(535\) | 7.43946 | − | 5.28270i | 0.321636 | − | 0.228391i | ||||
\(536\) | −18.6268 | − | 6.05220i | −0.804554 | − | 0.261415i | ||||
\(537\) | 8.34232 | − | 6.30515i | 0.359998 | − | 0.272087i | ||||
\(538\) | −7.69453 | − | 23.6813i | −0.331735 | − | 1.02098i | ||||
\(539\) | 36.1155 | + | 1.51984i | 1.55560 | + | 0.0654640i | ||||
\(540\) | −37.3005 | − | 46.6844i | −1.60516 | − | 2.00898i | ||||
\(541\) | 0.236536 | + | 0.727984i | 0.0101695 | + | 0.0312985i | 0.956013 | − | 0.293326i | \(-0.0947621\pi\) |
−0.945843 | + | 0.324624i | \(0.894762\pi\) | |||||||
\(542\) | 26.7991 | + | 36.8858i | 1.15112 | + | 1.58438i | ||||
\(543\) | −11.3528 | − | 32.8180i | −0.487194 | − | 1.40835i | ||||
\(544\) | 33.1209 | + | 45.5871i | 1.42005 | + | 1.95453i | ||||
\(545\) | −14.1314 | − | 10.5032i | −0.605323 | − | 0.449909i | ||||
\(546\) | −34.9278 | − | 5.60877i | −1.49477 | − | 0.240033i | ||||
\(547\) | −12.3896 | + | 17.0528i | −0.529742 | + | 0.729127i | −0.987091 | − | 0.160160i | \(-0.948799\pi\) |
0.457349 | + | 0.889287i | \(0.348799\pi\) | |||||||
\(548\) | 7.80911 | − | 24.0340i | 0.333589 | − | 1.02668i | ||||
\(549\) | 21.3179 | + | 27.1251i | 0.909827 | + | 1.15767i | ||||
\(550\) | 39.3398 | + | 56.6943i | 1.67746 | + | 2.41745i | ||||
\(551\) | −20.1405 | −0.858013 | ||||||||
\(552\) | 0.0369114 | + | 1.95417i | 0.00157105 | + | 0.0831749i | ||||
\(553\) | −34.8049 | − | 18.6660i | −1.48005 | − | 0.793760i | ||||
\(554\) | −20.3035 | + | 27.9454i | −0.862613 | + | 1.18728i | ||||
\(555\) | 11.9235 | − | 8.81020i | 0.506126 | − | 0.373972i | ||||
\(556\) | −63.3840 | − | 87.2406i | −2.68808 | − | 3.69983i | ||||
\(557\) | 31.8703 | 1.35039 | 0.675193 | − | 0.737641i | \(-0.264060\pi\) | ||||
0.675193 | + | 0.737641i | \(0.264060\pi\) | |||||||
\(558\) | −8.36031 | − | 2.37137i | −0.353920 | − | 0.100388i | ||||
\(559\) | 25.5364 | − | 8.29727i | 1.08007 | − | 0.350937i | ||||
\(560\) | −63.0464 | − | 34.6982i | −2.66420 | − | 1.46627i | ||||
\(561\) | 0.605845 | + | 32.0747i | 0.0255788 | + | 1.35419i | ||||
\(562\) | −29.0032 | + | 9.42373i | −1.22343 | + | 0.397516i | ||||
\(563\) | −28.3068 | + | 9.19743i | −1.19299 | + | 0.387626i | −0.837177 | − | 0.546932i | \(-0.815796\pi\) |
−0.355812 | + | 0.934558i | \(0.615796\pi\) | |||||||
\(564\) | −8.83055 | + | 0.166796i | −0.371833 | + | 0.00702340i | ||||
\(565\) | −11.8571 | − | 8.81285i | −0.498832 | − | 0.370759i | ||||
\(566\) | −12.9849 | − | 39.9634i | −0.545796 | − | 1.67979i | ||||
\(567\) | 11.9503 | + | 20.5959i | 0.501866 | + | 0.864945i | ||||
\(568\) | − | 107.628i | − | 4.51595i | ||||||
\(569\) | −12.0733 | − | 16.6175i | −0.506139 | − | 0.696640i | 0.477124 | − | 0.878836i | \(-0.341679\pi\) |
−0.983262 | + | 0.182196i | \(0.941679\pi\) | |||||||
\(570\) | −23.4662 | + | 17.3390i | −0.982893 | + | 0.726251i | ||||
\(571\) | −9.56464 | − | 6.94912i | −0.400268 | − | 0.290812i | 0.369382 | − | 0.929278i | \(-0.379569\pi\) |
−0.769650 | + | 0.638466i | \(0.779569\pi\) | |||||||
\(572\) | −45.0882 | + | 62.0586i | −1.88523 | + | 2.59480i | ||||
\(573\) | 11.5265 | − | 0.217718i | 0.481525 | − | 0.00909532i | ||||
\(574\) | −54.7823 | + | 7.49949i | −2.28657 | + | 0.313023i | ||||
\(575\) | −0.534715 | − | 0.406510i | −0.0222991 | − | 0.0169527i | ||||
\(576\) | 41.6541 | − | 32.7365i | 1.73559 | − | 1.36402i | ||||
\(577\) | 5.47010 | − | 16.8352i | 0.227723 | − | 0.700860i | −0.770280 | − | 0.637705i | \(-0.779884\pi\) |
0.998004 | − | 0.0631550i | \(-0.0201162\pi\) | |||||||
\(578\) | 8.94140 | + | 6.49631i | 0.371913 | + | 0.270211i | ||||
\(579\) | 5.05257 | − | 16.6113i | 0.209978 | − | 0.690342i | ||||
\(580\) | −49.0165 | + | 65.9484i | −2.03530 | + | 2.73836i | ||||
\(581\) | 2.57067 | + | 2.68113i | 0.106649 | + | 0.111232i | ||||
\(582\) | −13.2941 | + | 4.59883i | −0.551056 | + | 0.190628i | ||||
\(583\) | 22.7351 | + | 31.2921i | 0.941590 | + | 1.29599i | ||||
\(584\) | 10.4480 | + | 32.1556i | 0.432341 | + | 1.33061i | ||||
\(585\) | 6.48128 | + | 18.2595i | 0.267968 | + | 0.754939i | ||||
\(586\) | 27.9471 | + | 9.08057i | 1.15448 | + | 0.375115i | ||||
\(587\) | −15.8963 | + | 5.16501i | −0.656110 | + | 0.213183i | −0.618106 | − | 0.786095i | \(-0.712100\pi\) |
−0.0380034 | + | 0.999278i | \(0.512100\pi\) | |||||||
\(588\) | 49.5836 | + | 37.8104i | 2.04479 | + | 1.55927i | ||||
\(589\) | −0.944074 | + | 2.90556i | −0.0388999 | + | 0.119721i | ||||
\(590\) | 25.6122 | − | 18.1870i | 1.05444 | − | 0.748748i | ||||
\(591\) | 22.3528 | + | 29.5750i | 0.919473 | + | 1.21655i | ||||
\(592\) | 27.3690 | + | 37.6702i | 1.12486 | + | 1.54823i | ||||
\(593\) | − | 21.2580i | − | 0.872963i | −0.899713 | − | 0.436482i | \(-0.856224\pi\) | ||
0.899713 | − | 0.436482i | \(-0.143776\pi\) | |||||||
\(594\) | 71.5984 | − | 4.06104i | 2.93772 | − | 0.166626i | ||||
\(595\) | 20.8417 | + | 3.98580i | 0.854427 | + | 0.163402i | ||||
\(596\) | −22.1611 | + | 30.5021i | −0.907754 | + | 1.24942i | ||||
\(597\) | 0.143339 | − | 0.471254i | 0.00586646 | − | 0.0192871i | ||||
\(598\) | 0.320460 | − | 0.986273i | 0.0131046 | − | 0.0403317i | ||||
\(599\) | 1.77189i | 0.0723976i | 0.999345 | + | 0.0361988i | \(0.0115250\pi\) | ||||
−0.999345 | + | 0.0361988i | \(0.988475\pi\) | |||||||
\(600\) | −0.204889 | + | 72.7457i | −0.00836455 | + | 2.96983i | ||||
\(601\) | − | 43.1204i | − | 1.75892i | −0.475974 | − | 0.879459i | \(-0.657905\pi\) | ||
0.475974 | − | 0.879459i | \(-0.342095\pi\) | |||||||
\(602\) | −64.6940 | − | 11.6460i | −2.63673 | − | 0.474654i | ||||
\(603\) | −0.264148 | − | 6.98979i | −0.0107570 | − | 0.284646i | ||||
\(604\) | 33.4181 | + | 24.2797i | 1.35976 | + | 0.987926i | ||||
\(605\) | −35.0283 | − | 0.380122i | −1.42410 | − | 0.0154542i | ||||
\(606\) | −20.7399 | + | 29.7102i | −0.842503 | + | 1.20690i | ||||
\(607\) | 9.88379 | 0.401171 | 0.200585 | − | 0.979676i | \(-0.435716\pi\) | ||||
0.200585 | + | 0.979676i | \(0.435716\pi\) | |||||||
\(608\) | −26.0292 | − | 35.8261i | −1.05562 | − | 1.45294i | ||||
\(609\) | 23.2025 | − | 23.1033i | 0.940213 | − | 0.936193i | ||||
\(610\) | 0.745753 | − | 68.7213i | 0.0301947 | − | 2.78245i | ||||
\(611\) | 2.72364 | + | 0.884963i | 0.110187 | + | 0.0358018i | ||||
\(612\) | −30.8138 | + | 45.9669i | −1.24557 | + | 1.85810i | ||||
\(613\) | −37.2992 | + | 12.1192i | −1.50650 | + | 0.489491i | −0.941906 | − | 0.335878i | \(-0.890967\pi\) |
−0.564594 | + | 0.825369i | \(0.690967\pi\) | |||||||
\(614\) | 9.63814 | − | 29.6631i | 0.388964 | − | 1.19711i | ||||
\(615\) | 17.9974 | + | 24.3574i | 0.725726 | + | 0.982183i | ||||
\(616\) | 103.329 | − | 49.9402i | 4.16323 | − | 2.01215i | ||||
\(617\) | −15.2962 | + | 11.1133i | −0.615802 | + | 0.447406i | −0.851453 | − | 0.524432i | \(-0.824278\pi\) |
0.235651 | + | 0.971838i | \(0.424278\pi\) | |||||||
\(618\) | 25.4559 | − | 8.80599i | 1.02399 | − | 0.354229i | ||||
\(619\) | −24.0767 | − | 33.1387i | −0.967724 | − | 1.33196i | −0.943188 | − | 0.332259i | \(-0.892189\pi\) |
−0.0245362 | − | 0.999699i | \(-0.507811\pi\) | |||||||
\(620\) | 7.21641 | + | 10.1626i | 0.289818 | + | 0.408141i | ||||
\(621\) | −0.650598 | + | 0.252956i | −0.0261076 | + | 0.0101508i | ||||
\(622\) | 8.88542 | + | 6.45564i | 0.356273 | + | 0.258847i | ||||
\(623\) | 0.166763 | − | 0.926378i | 0.00668122 | − | 0.0371146i | ||||
\(624\) | −57.5107 | + | 19.8947i | −2.30227 | + | 0.796427i | ||||
\(625\) | −19.5687 | − | 15.5584i | −0.782750 | − | 0.622337i | ||||
\(626\) | −28.1142 | −1.12367 | ||||||||
\(627\) | −0.476124 | − | 25.2070i | −0.0190145 | − | 1.00667i | ||||
\(628\) | −29.6288 | − | 21.5266i | −1.18232 | − | 0.859003i | ||||
\(629\) | −11.1075 | − | 8.07007i | −0.442885 | − | 0.321775i | ||||
\(630\) | 7.14421 | − | 46.8934i | 0.284632 | − | 1.86828i | ||||
\(631\) | 19.9639 | − | 14.5046i | 0.794751 | − | 0.577420i | −0.114619 | − | 0.993410i | \(-0.536565\pi\) |
0.909369 | + | 0.415989i | \(0.136565\pi\) | |||||||
\(632\) | −125.390 | −4.98775 | ||||||||
\(633\) | −9.16163 | + | 13.1241i | −0.364142 | + | 0.521638i | ||||
\(634\) | −0.951409 | − | 2.92814i | −0.0377853 | − | 0.116291i | ||||
\(635\) | 10.6035 | − | 3.31853i | 0.420788 | − | 0.131692i | ||||
\(636\) | 1.26007 | + | 66.7105i | 0.0499649 | + | 2.64524i | ||||
\(637\) | −11.1859 | − | 16.8423i | −0.443201 | − | 0.667318i | ||||
\(638\) | −30.4728 | − | 93.7857i | −1.20643 | − | 3.71301i | ||||
\(639\) | 36.0826 | − | 13.2502i | 1.42740 | − | 0.524170i | ||||
\(640\) | −35.2762 | − | 0.382812i | −1.39441 | − | 0.0151320i | ||||
\(641\) | 34.1211 | − | 11.0866i | 1.34770 | − | 0.437895i | 0.455784 | − | 0.890090i | \(-0.349359\pi\) |
0.891919 | + | 0.452195i | \(0.149359\pi\) | |||||||
\(642\) | −10.8122 | + | 15.4886i | −0.426724 | + | 0.611288i | ||||
\(643\) | 3.70545 | 0.146129 | 0.0730644 | − | 0.997327i | \(-0.476722\pi\) | ||||
0.0730644 | + | 0.997327i | \(0.476722\pi\) | |||||||
\(644\) | −1.31944 | + | 1.26509i | −0.0519934 | + | 0.0498514i | ||||
\(645\) | 11.4005 | + | 34.1510i | 0.448895 | + | 1.34470i | ||||
\(646\) | 21.8602 | + | 15.8824i | 0.860079 | + | 0.624884i | ||||
\(647\) | 6.83318 | − | 9.40507i | 0.268640 | − | 0.369751i | −0.653290 | − | 0.757108i | \(-0.726612\pi\) |
0.921930 | + | 0.387356i | \(0.126612\pi\) | |||||||
\(648\) | 64.3409 | + | 39.6936i | 2.52755 | + | 1.55931i | ||||
\(649\) | 27.1431i | 1.06546i | ||||||||
\(650\) | 12.7211 | − | 36.4410i | 0.498964 | − | 1.42934i | ||||
\(651\) | −2.24538 | − | 4.43026i | −0.0880036 | − | 0.173635i | ||||
\(652\) | −36.8085 | − | 11.9598i | −1.44153 | − | 0.468382i | ||||
\(653\) | 25.5185 | + | 18.5403i | 0.998617 | + | 0.725538i | 0.961791 | − | 0.273784i | \(-0.0882753\pi\) |
0.0368259 | + | 0.999322i | \(0.488275\pi\) | |||||||
\(654\) | 34.8732 | + | 10.6072i | 1.36365 | + | 0.414774i | ||||
\(655\) | 9.77861 | − | 29.0201i | 0.382082 | − | 1.13391i | ||||
\(656\) | −76.9524 | + | 55.9092i | −3.00449 | + | 2.18289i | ||||
\(657\) | −9.49402 | + | 7.46146i | −0.370397 | + | 0.291099i | ||||
\(658\) | −4.85218 | − | 5.06067i | −0.189158 | − | 0.197285i | ||||
\(659\) | −0.512658 | + | 0.166573i | −0.0199703 | + | 0.00648875i | −0.318985 | − | 0.947760i | \(-0.603342\pi\) |
0.299015 | + | 0.954248i | \(0.403342\pi\) | |||||||
\(660\) | −83.6970 | − | 59.7879i | −3.25790 | − | 2.32724i | ||||
\(661\) | −37.9795 | − | 12.3403i | −1.47723 | − | 0.479982i | −0.543948 | − | 0.839119i | \(-0.683071\pi\) |
−0.933285 | + | 0.359137i | \(0.883071\pi\) | |||||||
\(662\) | −8.02329 | − | 24.6931i | −0.311834 | − | 0.959726i | ||||
\(663\) | 14.3150 | − | 10.8193i | 0.555947 | − | 0.420187i | ||||
\(664\) | 11.2156 | + | 3.64419i | 0.435252 | + | 0.141422i | ||||
\(665\) | −16.3792 | − | 3.13238i | −0.635157 | − | 0.121468i | ||||
\(666\) | −17.0895 | + | 25.4936i | −0.662205 | + | 0.987855i | ||||
\(667\) | 0.564197 | + | 0.776550i | 0.0218458 | + | 0.0300682i | ||||
\(668\) | − | 13.2827i | − | 0.513924i | ||||||
\(669\) | 24.4841 | − | 35.0738i | 0.946610 | − | 1.35603i | ||||
\(670\) | −8.31206 | + | 11.1833i | −0.321123 | + | 0.432050i | ||||
\(671\) | 48.0430 | + | 34.9053i | 1.85468 | + | 1.34750i | ||||
\(672\) | 71.0830 | + | 11.4146i | 2.74208 | + | 0.440328i | ||||
\(673\) | −13.3340 | − | 4.33248i | −0.513988 | − | 0.167005i | 0.0405270 | − | 0.999178i | \(-0.487096\pi\) |
−0.554515 | + | 0.832173i | \(0.687096\pi\) | |||||||
\(674\) | 83.7999i | 3.22785i | ||||||||
\(675\) | −24.4135 | + | 8.88715i | −0.939676 | + | 0.342067i | ||||
\(676\) | −23.9527 | −0.921258 | ||||||||
\(677\) | −6.78909 | − | 2.20591i | −0.260926 | − | 0.0847799i | 0.175633 | − | 0.984456i | \(-0.443803\pi\) |
−0.436559 | + | 0.899676i | \(0.643803\pi\) | |||||||
\(678\) | 29.2607 | + | 8.90007i | 1.12375 | + | 0.341805i | ||||
\(679\) | −7.08528 | − | 3.79987i | −0.271908 | − | 0.145826i | ||||
\(680\) | 64.2943 | − | 20.1218i | 2.46557 | − | 0.771636i | ||||
\(681\) | −11.2936 | − | 7.88377i | −0.432772 | − | 0.302107i | ||||
\(682\) | −14.9584 | −0.572785 | ||||||||
\(683\) | −24.9902 | + | 18.1564i | −0.956222 | + | 0.694736i | −0.952270 | − | 0.305256i | \(-0.901258\pi\) |
−0.00395199 | + | 0.999992i | \(0.501258\pi\) | |||||||
\(684\) | 24.2160 | − | 36.1247i | 0.925924 | − | 1.38126i | ||||
\(685\) | −8.81831 | − | 6.55425i | −0.336930 | − | 0.250425i | ||||
\(686\) | 4.64559 | + | 49.2794i | 0.177370 | + | 1.88149i | ||||
\(687\) | −37.7775 | + | 28.5524i | −1.44130 | + | 1.08934i | ||||
\(688\) | −107.545 | + | 34.9434i | −4.10010 | + | 1.33220i | ||||
\(689\) | 6.68546 | − | 20.5757i | 0.254696 | − | 0.783873i | ||||
\(690\) | 1.32590 | + | 0.419062i | 0.0504760 | + | 0.0159534i | ||||
\(691\) | 3.98588 | − | 1.29509i | 0.151630 | − | 0.0492676i | −0.232219 | − | 0.972664i | \(-0.574598\pi\) |
0.383849 | + | 0.923396i | \(0.374598\pi\) | |||||||
\(692\) | −27.9321 | − | 38.4452i | −1.06182 | − | 1.46147i | ||||
\(693\) | 29.4636 | + | 28.4931i | 1.11923 | + | 1.08236i | ||||
\(694\) | 11.8286 | − | 8.59401i | 0.449009 | − | 0.326224i | ||||
\(695\) | −44.7447 | + | 14.0035i | −1.69727 | + | 0.531183i | ||||
\(696\) | 30.2514 | − | 99.4573i | 1.14668 | − | 3.76992i | ||||
\(697\) | 16.4855 | − | 22.6903i | 0.624432 | − | 0.859457i | ||||
\(698\) | 59.3582 | + | 19.2866i | 2.24674 | + | 0.730010i | ||||
\(699\) | 6.36201 | − | 2.20082i | 0.240633 | − | 0.0832426i | ||||
\(700\) | −50.1192 | + | 46.0090i | −1.89433 | + | 1.73898i | ||||
\(701\) | − | 19.4866i | − | 0.735999i | −0.929826 | − | 0.368000i | \(-0.880043\pi\) | ||
0.929826 | − | 0.368000i | \(-0.119957\pi\) | |||||||
\(702\) | −25.3770 | − | 31.0639i | −0.957792 | − | 1.17243i | ||||
\(703\) | 8.72920 | + | 6.34214i | 0.329228 | + | 0.239198i | ||||
\(704\) | 53.6017 | − | 73.7764i | 2.02019 | − | 2.78055i | ||||
\(705\) | −1.15726 | + | 3.66152i | −0.0435849 | + | 0.137901i | ||||
\(706\) | 19.1508 | + | 26.3588i | 0.720749 | + | 0.992026i | ||||
\(707\) | −20.5175 | + | 2.80877i | −0.771639 | + | 0.105635i | ||||
\(708\) | −26.8013 | + | 38.3932i | −1.00725 | + | 1.44290i | ||||
\(709\) | 3.22079 | + | 9.91257i | 0.120959 | + | 0.372274i | 0.993143 | − | 0.116904i | \(-0.0372969\pi\) |
−0.872184 | + | 0.489178i | \(0.837297\pi\) | |||||||
\(710\) | −72.5632 | − | 24.4509i | −2.72325 | − | 0.917625i | ||||
\(711\) | −15.4370 | − | 42.0375i | −0.578933 | − | 1.57653i | ||||
\(712\) | −0.923475 | − | 2.84216i | −0.0346087 | − | 0.106515i | ||||
\(713\) | 0.138475 | − | 0.0449933i | 0.00518594 | − | 0.00168501i | ||||
\(714\) | −43.4025 | + | 6.77898i | −1.62430 | + | 0.253697i | ||||
\(715\) | 19.3096 | + | 27.1931i | 0.722138 | + | 1.01696i | ||||
\(716\) | 29.5302 | − | 9.59495i | 1.10360 | − | 0.358580i | ||||
\(717\) | −17.6848 | − | 12.3453i | −0.660451 | − | 0.461044i | ||||
\(718\) | 51.9548i | 1.93894i | ||||||||
\(719\) | 40.4973 | − | 29.4230i | 1.51029 | − | 1.09729i | 0.544247 | − | 0.838925i | \(-0.316815\pi\) |
0.966047 | − | 0.258368i | \(-0.0831847\pi\) | |||||||
\(720\) | −27.2955 | − | 76.8989i | −1.01724 | − | 2.86585i | ||||
\(721\) | 13.5671 | + | 7.27612i | 0.505266 | + | 0.270977i | ||||
\(722\) | 23.9023 | + | 17.3660i | 0.889551 | + | 0.646297i | ||||
\(723\) | 10.3594 | − | 0.195675i | 0.385271 | − | 0.00727721i | ||||
\(724\) | − | 103.112i | − | 3.83213i | ||||||
\(725\) | 20.3669 | + | 29.3517i | 0.756408 | + | 1.09009i | ||||
\(726\) | 68.5355 | − | 23.7086i | 2.54359 | − | 0.879907i | ||||
\(727\) | −9.79540 | + | 30.1471i | −0.363291 | + | 1.11810i | 0.587753 | + | 0.809041i | \(0.300013\pi\) |
−0.951044 | + | 0.309055i | \(0.899987\pi\) | |||||||
\(728\) | −56.5698 | − | 30.3386i | −2.09661 | − | 1.12442i | ||||
\(729\) | −5.38633 | + | 26.4573i | −0.199494 | + | 0.979899i | ||||
\(730\) | 24.0531 | + | 0.261020i | 0.890245 | + | 0.00966079i | ||||
\(731\) | 26.9748 | − | 19.5984i | 0.997700 | − | 0.724871i | ||||
\(732\) | 33.4898 | + | 96.8105i | 1.23782 | + | 3.57822i | ||||
\(733\) | 11.3912 | − | 8.27618i | 0.420743 | − | 0.305688i | −0.357194 | − | 0.934030i | \(-0.616266\pi\) |
0.777937 | + | 0.628343i | \(0.216266\pi\) | |||||||
\(734\) | 6.77853 | + | 20.8622i | 0.250200 | + | 0.770036i | ||||
\(735\) | 22.4625 | − | 15.1801i | 0.828543 | − | 0.559925i | ||||
\(736\) | −0.652179 | + | 2.00720i | −0.0240396 | + | 0.0739864i | ||||
\(737\) | −3.72061 | − | 11.4509i | −0.137051 | − | 0.421798i | ||||
\(738\) | −52.0781 | − | 34.9104i | −1.91702 | − | 1.28507i | ||||
\(739\) | −13.1013 | + | 40.3215i | −0.481938 | + | 1.48325i | 0.354430 | + | 0.935082i | \(0.384675\pi\) |
−0.836368 | + | 0.548169i | \(0.815325\pi\) | |||||||
\(740\) | 42.0113 | − | 13.1481i | 1.54437 | − | 0.483332i | ||||
\(741\) | −11.2499 | + | 8.50272i | −0.413276 | + | 0.312355i | ||||
\(742\) | −38.2309 | + | 36.6559i | −1.40350 | + | 1.34568i | ||||
\(743\) | 17.3685 | 0.637188 | 0.318594 | − | 0.947891i | \(-0.396789\pi\) | ||||
0.318594 | + | 0.947891i | \(0.396789\pi\) | |||||||
\(744\) | −12.9302 | − | 9.02621i | −0.474043 | − | 0.330917i | ||||
\(745\) | 9.49077 | + | 13.3656i | 0.347715 | + | 0.489676i | ||||
\(746\) | −6.17891 | + | 8.50454i | −0.226226 | + | 0.311373i | ||||
\(747\) | 0.159051 | + | 4.20873i | 0.00581936 | + | 0.153989i | ||||
\(748\) | −29.4357 | + | 90.5939i | −1.07628 | + | 3.31244i | ||||
\(749\) | −10.6962 | + | 1.46428i | −0.390832 | + | 0.0535035i | ||||
\(750\) | 48.9990 | + | 16.6645i | 1.78919 | + | 0.608502i | ||||
\(751\) | −31.7620 | −1.15901 | −0.579506 | − | 0.814968i | \(-0.696754\pi\) | ||||
−0.579506 | + | 0.814968i | \(0.696754\pi\) | |||||||
\(752\) | −11.4704 | − | 3.72696i | −0.418283 | − | 0.135908i | ||||
\(753\) | −32.6684 | − | 9.93655i | −1.19050 | − | 0.362108i | ||||
\(754\) | −32.4206 | + | 44.6231i | −1.18069 | + | 1.62508i | ||||
\(755\) | 14.6433 | − | 10.3981i | 0.532924 | − | 0.378425i | ||||
\(756\) | 13.5412 | + | 69.3952i | 0.492488 | + | 2.52388i | ||||
\(757\) | 13.1944i | 0.479560i | 0.970827 | + | 0.239780i | \(0.0770754\pi\) | ||||
−0.970827 | + | 0.239780i | \(0.922925\pi\) | |||||||
\(758\) | 40.7915 | − | 29.6367i | 1.48161 | − | 1.07645i | ||||
\(759\) | −0.958560 | + | 0.724483i | −0.0347935 | + | 0.0262971i | ||||
\(760\) | −50.5278 | + | 15.8134i | −1.83284 | + | 0.573613i | ||||
\(761\) | 1.37350 | − | 4.22720i | 0.0497894 | − | 0.153236i | −0.923071 | − | 0.384631i | \(-0.874329\pi\) |
0.972860 | + | 0.231395i | \(0.0743288\pi\) | |||||||
\(762\) | −18.3500 | + | 13.8690i | −0.664749 | + | 0.502419i | ||||
\(763\) | 9.06564 | + | 18.7573i | 0.328198 | + | 0.679058i | ||||
\(764\) | 32.5561 | + | 10.5781i | 1.17784 | + | 0.382703i | ||||
\(765\) | 14.6613 | + | 19.0777i | 0.530080 | + | 0.689755i | ||||
\(766\) | 58.4013 | − | 18.9757i | 2.11012 | − | 0.685621i | ||||
\(767\) | 12.2826 | − | 8.92381i | 0.443498 | − | 0.322220i | ||||
\(768\) | 11.2074 | − | 3.87698i | 0.404411 | − | 0.139898i | ||||
\(769\) | 25.3914 | + | 34.9483i | 0.915638 | + | 1.26027i | 0.965204 | + | 0.261497i | \(0.0842161\pi\) |
−0.0495664 | + | 0.998771i | \(0.515784\pi\) | |||||||
\(770\) | −10.1958 | − | 81.0103i | −0.367430 | − | 2.91941i | ||||
\(771\) | −11.4550 | + | 37.6604i | −0.412540 | + | 1.35631i | ||||
\(772\) | 30.3032 | − | 41.7088i | 1.09064 | − | 1.50113i | ||||
\(773\) | 39.9911 | + | 12.9939i | 1.43838 | + | 0.467358i | 0.921392 | − | 0.388634i | \(-0.127053\pi\) |
0.516988 | + | 0.855992i | \(0.327053\pi\) | |||||||
\(774\) | −46.0566 | − | 58.6028i | −1.65547 | − | 2.10644i | ||||
\(775\) | 5.18910 | − | 1.56238i | 0.186398 | − | 0.0561225i | ||||
\(776\) | −25.5259 | −0.916326 | ||||||||
\(777\) | −17.3314 | + | 2.70698i | −0.621762 | + | 0.0971123i | ||||
\(778\) | −14.9263 | + | 20.5443i | −0.535133 | + | 0.736548i | ||||
\(779\) | −12.9557 | + | 17.8320i | −0.464185 | + | 0.638896i | ||||
\(780\) | 0.462260 | + | 57.5303i | 0.0165516 | + | 2.05991i | ||||
\(781\) | 53.5282 | − | 38.8905i | 1.91539 | − | 1.39161i | ||||
\(782\) | − | 1.28777i | − | 0.0460506i | ||||||
\(783\) | 37.0677 | − | 2.10247i | 1.32469 | − | 0.0751362i | ||||
\(784\) | 47.1086 | + | 70.9304i | 1.68245 | + | 2.53323i | ||||
\(785\) | −12.9829 | + | 9.21903i | −0.463378 | + | 0.329041i | ||||
\(786\) | 1.19726 | + | 63.3855i | 0.0427049 | + | 2.26089i | ||||
\(787\) | 9.46805 | + | 29.1397i | 0.337499 | + | 1.03872i | 0.965478 | + | 0.260486i | \(0.0838827\pi\) |
−0.627978 | + | 0.778231i | \(0.716117\pi\) | |||||||
\(788\) | 34.0158 | + | 104.690i | 1.21176 | + | 3.72942i | ||||
\(789\) | 1.05666 | + | 55.9419i | 0.0376182 | + | 1.99158i | ||||
\(790\) | −28.4862 | + | 84.5388i | −1.01349 | + | 3.00776i | ||||
\(791\) | 7.60662 | + | 15.7385i | 0.270460 | + | 0.559596i | ||||
\(792\) | 125.192 | + | 35.5102i | 4.44850 | + | 1.26180i | ||||
\(793\) | − | 33.2158i | − | 1.17953i | ||||||
\(794\) | −59.9701 | + | 43.5708i | −2.12826 | + | 1.54627i | ||||
\(795\) | 27.6610 | + | 8.74252i | 0.981035 | + | 0.310065i | ||||
\(796\) | 0.859686 | − | 1.18326i | 0.0304708 | − | 0.0419394i | ||||
\(797\) | 14.5470 | − | 20.0222i | 0.515280 | − | 0.709223i | −0.469518 | − | 0.882923i | \(-0.655572\pi\) |
0.984799 | + | 0.173700i | \(0.0555724\pi\) | |||||||
\(798\) | 34.1093 | − | 5.32750i | 1.20746 | − | 0.188591i | ||||
\(799\) | 3.55624 | 0.125811 | ||||||||
\(800\) | −25.8892 | + | 74.1625i | −0.915323 | + | 2.62204i | ||||
\(801\) | 0.839156 | − | 0.659502i | 0.0296501 | − | 0.0233024i | ||||
\(802\) | −19.5022 | − | 6.33666i | −0.688648 | − | 0.223755i | ||||
\(803\) | −12.2172 | + | 16.8155i | −0.431134 | + | 0.593406i | ||||
\(804\) | 6.04395 | − | 19.8707i | 0.213154 | − | 0.700785i | ||||
\(805\) | 0.338057 | + | 0.719275i | 0.0119149 | + | 0.0253511i | ||||
\(806\) | 4.91784 | + | 6.76883i | 0.173224 | + | 0.238422i | ||||
\(807\) | 15.2502 | − | 5.27554i | 0.536834 | − | 0.185708i | ||||
\(808\) | −53.1915 | + | 38.6459i | −1.87127 | + | 1.35956i | ||||
\(809\) | 28.8811 | − | 9.38405i | 1.01541 | − | 0.329926i | 0.246401 | − | 0.969168i | \(-0.420752\pi\) |
0.769005 | + | 0.639242i | \(0.220752\pi\) | |||||||
\(810\) | 41.3787 | − | 34.3614i | 1.45390 | − | 1.20734i | ||||
\(811\) | 0.475614 | + | 0.154536i | 0.0167011 | + | 0.00542650i | 0.317356 | − | 0.948307i | \(-0.397205\pi\) |
−0.300655 | + | 0.953733i | \(0.597205\pi\) | |||||||
\(812\) | 87.5363 | − | 42.3075i | 3.07192 | − | 1.48470i | ||||
\(813\) | −23.5723 | + | 17.8160i | −0.826716 | + | 0.624835i | ||||
\(814\) | −16.3253 | + | 50.2440i | −0.572200 | + | 1.76105i | ||||
\(815\) | −10.0380 | + | 13.5054i | −0.351615 | + | 0.473074i | ||||
\(816\) | −60.2865 | + | 45.5648i | −2.11045 | + | 1.59509i | ||||
\(817\) | −21.1991 | + | 15.4020i | −0.741662 | + | 0.538849i | ||||
\(818\) | − | 87.4799i | − | 3.05866i | ||||||
\(819\) | 3.20674 | − | 22.7003i | 0.112053 | − | 0.793212i | ||||
\(820\) | 26.8588 | + | 85.8205i | 0.937949 | + | 2.99698i | ||||
\(821\) | 13.1264 | − | 18.0669i | 0.458115 | − | 0.630541i | −0.516002 | − | 0.856587i | \(-0.672580\pi\) |
0.974116 | + | 0.226047i | \(0.0725802\pi\) | |||||||
\(822\) | 21.7616 | + | 6.61912i | 0.759024 | + | 0.230868i | ||||
\(823\) | −41.9328 | − | 13.6248i | −1.46169 | − | 0.474931i | −0.533101 | − | 0.846051i | \(-0.678974\pi\) |
−0.928585 | + | 0.371121i | \(0.878974\pi\) | |||||||
\(824\) | 48.8778 | 1.70274 | ||||||||
\(825\) | −36.2538 | + | 26.1843i | −1.26220 | + | 0.911619i | ||||
\(826\) | −36.8245 | + | 5.04114i | −1.28129 | + | 0.175404i | ||||
\(827\) | 11.7426 | − | 36.1400i | 0.408330 | − | 1.25671i | −0.509752 | − | 0.860321i | \(-0.670263\pi\) |
0.918082 | − | 0.396389i | \(-0.129737\pi\) | |||||||
\(828\) | −2.07121 | + | 0.0782725i | −0.0719797 | + | 0.00272016i | ||||
\(829\) | −7.15740 | + | 9.85131i | −0.248587 | + | 0.342150i | −0.915016 | − | 0.403418i | \(-0.867822\pi\) |
0.666429 | + | 0.745568i | \(0.267822\pi\) | |||||||
\(830\) | 5.00491 | − | 6.73377i | 0.173723 | − | 0.233733i | ||||
\(831\) | −18.3558 | − | 12.8137i | −0.636755 | − | 0.444502i | ||||
\(832\) | −51.0072 | −1.76836 | ||||||||
\(833\) | −19.6737 | − | 15.5986i | −0.681652 | − | 0.540460i | ||||
\(834\) | 77.4331 | − | 58.5242i | 2.68129 | − | 2.02653i | ||||
\(835\) | −5.47275 | − | 1.84409i | −0.189392 | − | 0.0638175i | ||||
\(836\) | 23.1331 | − | 71.1963i | 0.800074 | − | 2.46237i | ||||
\(837\) | 1.43422 | − | 5.44612i | 0.0495738 | − | 0.188245i | ||||
\(838\) | −25.1559 | − | 77.4217i | −0.868994 | − | 2.67449i | ||||
\(839\) | −0.544478 | + | 1.67573i | −0.0187975 | + | 0.0578526i | −0.960015 | − | 0.279948i | \(-0.909683\pi\) |
0.941218 | + | 0.337800i | \(0.109683\pi\) | |||||||
\(840\) | 40.0701 | − | 76.1784i | 1.38255 | − | 2.62841i | ||||
\(841\) | −6.81483 | − | 20.9739i | −0.234994 | − | 0.723238i | ||||
\(842\) | 11.3318 | − | 8.23301i | 0.390518 | − | 0.283728i | ||||
\(843\) | −6.46111 | − | 18.6774i | −0.222532 | − | 0.643285i | ||||
\(844\) | −38.4487 | + | 27.9346i | −1.32346 | + | 0.961549i | ||||
\(845\) | −3.32545 | + | 9.86900i | −0.114399 | + | 0.339504i | ||||
\(846\) | −0.300211 | − | 7.94405i | −0.0103214 | − | 0.273122i | ||||
\(847\) | 36.5271 | + | 19.5896i | 1.25509 | + | 0.673108i | ||||
\(848\) | −28.1554 | + | 86.6533i | −0.966859 | + | 2.97569i | ||||
\(849\) | 25.7355 | − | 8.90273i | 0.883241 | − | 0.305541i | ||||
\(850\) | 1.04014 | − | 47.9189i | 0.0356764 | − | 1.64360i | ||||
\(851\) | − | 0.514232i | − | 0.0176276i | ||||||
\(852\) | 114.115 | − | 2.15546i | 3.90951 | − | 0.0738450i | ||||
\(853\) | −28.0737 | − | 20.3968i | −0.961227 | − | 0.698372i | −0.00779149 | − | 0.999970i | \(-0.502480\pi\) |
−0.953435 | + | 0.301597i | \(0.902480\pi\) | |||||||
\(854\) | −38.4325 | + | 71.6617i | −1.31513 | + | 2.45221i | ||||
\(855\) | −11.5221 | − | 14.9928i | −0.394047 | − | 0.512744i | ||||
\(856\) | −27.7300 | + | 20.1470i | −0.947792 | + | 0.688611i | ||||
\(857\) | 9.55489i | 0.326389i | 0.986594 | + | 0.163194i | \(0.0521798\pi\) | ||||
−0.986594 | + | 0.163194i | \(0.947820\pi\) | |||||||
\(858\) | −56.6148 | − | 39.5214i | −1.93280 | − | 1.34924i | ||||
\(859\) | −19.6846 | + | 6.39590i | −0.671629 | + | 0.218225i | −0.624927 | − | 0.780683i | \(-0.714871\pi\) |
−0.0467020 | + | 0.998909i | \(0.514871\pi\) | |||||||
\(860\) | −1.16005 | + | 106.899i | −0.0395574 | + | 3.64523i | ||||
\(861\) | −5.52980 | − | 35.4046i | −0.188455 | − | 1.20658i | ||||
\(862\) | 18.1660 | − | 5.90249i | 0.618736 | − | 0.201040i | ||||
\(863\) | −3.12957 | − | 9.63181i | −0.106532 | − | 0.327871i | 0.883555 | − | 0.468327i | \(-0.155143\pi\) |
−0.990087 | + | 0.140456i | \(0.955143\pi\) | |||||||
\(864\) | 51.6456 | + | 63.2194i | 1.75702 | + | 2.15077i | ||||
\(865\) | −19.7181 | + | 6.17107i | −0.670436 | + | 0.209823i | ||||
\(866\) | −13.4534 | − | 41.4053i | −0.457165 | − | 1.40701i | ||||
\(867\) | −4.09987 | + | 5.87312i | −0.139239 | + | 0.199462i | ||||
\(868\) | −2.00027 | − | 14.6115i | −0.0678935 | − | 0.495948i | ||||
\(869\) | −45.3089 | − | 62.3623i | −1.53700 | − | 2.11550i | ||||
\(870\) | −60.1822 | − | 42.9904i | −2.04037 | − | 1.45751i | ||||
\(871\) | −3.95843 | + | 5.44831i | −0.134126 | + | 0.184609i | ||||
\(872\) | 53.5109 | + | 38.8779i | 1.81211 | + | 1.31657i | ||||
\(873\) | −3.14253 | − | 8.55765i | −0.106359 | − | 0.289632i | ||||
\(874\) | 1.01204i | 0.0342327i | ||||||||
\(875\) | 11.9984 | + | 27.0377i | 0.405619 | + | 0.914042i | ||||
\(876\) | −33.8845 | + | 11.7217i | −1.14485 | + | 0.396040i | ||||
\(877\) | 3.73429 | + | 1.21334i | 0.126098 | + | 0.0409717i | 0.371386 | − | 0.928478i | \(-0.378883\pi\) |
−0.245288 | + | 0.969450i | \(0.578883\pi\) | |||||||
\(878\) | −24.0088 | + | 33.0453i | −0.810259 | + | 1.11523i | ||||
\(879\) | −5.54174 | + | 18.2196i | −0.186918 | + | 0.614531i | ||||
\(880\) | −81.3211 | − | 114.522i | −2.74133 | − | 3.86053i | ||||
\(881\) | 29.2690 | − | 21.2652i | 0.986097 | − | 0.716441i | 0.0270339 | − | 0.999635i | \(-0.491394\pi\) |
0.959063 | + | 0.283193i | \(0.0913938\pi\) | |||||||
\(882\) | −33.1839 | + | 45.2645i | −1.11736 | + | 1.52414i | ||||
\(883\) | 29.8514 | + | 41.0869i | 1.00458 | + | 1.38269i | 0.922473 | + | 0.386062i | \(0.126165\pi\) |
0.0821070 | + | 0.996624i | \(0.473835\pi\) | |||||||
\(884\) | 50.6723 | − | 16.4644i | 1.70429 | − | 0.553759i | ||||
\(885\) | 12.0978 | + | 16.3729i | 0.406664 | + | 0.550371i | ||||
\(886\) | 12.6023 | − | 38.7859i | 0.423382 | − | 1.30304i | ||||
\(887\) | −32.8801 | + | 10.6834i | −1.10401 | + | 0.358713i | −0.803643 | − | 0.595112i | \(-0.797108\pi\) |
−0.300363 | + | 0.953825i | \(0.597108\pi\) | |||||||
\(888\) | −44.4300 | + | 33.5804i | −1.49097 | + | 1.12688i | ||||
\(889\) | −12.9384 | − | 2.32912i | −0.433940 | − | 0.0781161i | ||||
\(890\) | −2.12600 | − | 0.0230710i | −0.0712637 | − | 0.000773342i | ||||
\(891\) | 3.50765 | + | 46.3427i | 0.117511 | + | 1.55254i | ||||
\(892\) | 102.753 | − | 74.6543i | 3.44042 | − | 2.49961i | ||||
\(893\) | −2.79479 | −0.0935241 | ||||||||
\(894\) | −27.8265 | − | 19.4250i | −0.930657 | − | 0.649668i | ||||
\(895\) | 0.146491 | − | 13.4992i | 0.00489664 | − | 0.451227i | ||||
\(896\) | 36.7855 | + | 19.7283i | 1.22892 | + | 0.659075i | ||||
\(897\) | 0.642981 | + | 0.195572i | 0.0214685 | + | 0.00652996i | ||||
\(898\) | 66.7959 | + | 21.7033i | 2.22901 | + | 0.724249i | ||||
\(899\) | −7.74421 | −0.258284 | ||||||||
\(900\) | −77.1345 | + | 1.23964i | −2.57115 | + | 0.0413215i | ||||
\(901\) | − | 26.8656i | − | 0.895024i | ||||||
\(902\) | −102.638 | − | 33.3491i | −3.41747 | − | 1.11040i | ||||
\(903\) | 6.75427 | − | 42.0613i | 0.224768 | − | 1.39971i | ||||
\(904\) | 44.8989 | + | 32.6209i | 1.49331 | + | 1.08496i | ||||
\(905\) | −42.4842 | − | 14.3155i | −1.41222 | − | 0.475862i | ||||
\(906\) | −21.2820 | + | 30.4867i | −0.707046 | + | 1.01285i | ||||
\(907\) | − | 27.3297i | − | 0.907469i | −0.891137 | − | 0.453734i | \(-0.850092\pi\) | ||
0.891137 | − | 0.453734i | \(-0.149908\pi\) | |||||||
\(908\) | −24.0383 | − | 33.0859i | −0.797740 | − | 1.09800i | ||||
\(909\) | −19.5047 | − | 13.0749i | −0.646930 | − | 0.433667i | ||||
\(910\) | −33.3060 | + | 31.2473i | −1.10408 | + | 1.03584i | ||||
\(911\) | 28.8612 | + | 9.37756i | 0.956213 | + | 0.310692i | 0.745238 | − | 0.666799i | \(-0.232336\pi\) |
0.210975 | + | 0.977491i | \(0.432336\pi\) | |||||||
\(912\) | 47.3782 | − | 35.8086i | 1.56885 | − | 1.18574i | ||||
\(913\) | 2.24028 | + | 6.89486i | 0.0741423 | + | 0.228187i | ||||
\(914\) | −86.0035 | − | 27.9442i | −2.84474 | − | 0.924313i | ||||
\(915\) | 44.5374 | − | 0.357862i | 1.47236 | − | 0.0118305i | ||||
\(916\) | −133.725 | + | 43.4500i | −4.41841 | + | 1.43563i | ||||
\(917\) | −26.1544 | + | 25.0769i | −0.863695 | + | 0.828113i | ||||
\(918\) | −41.8908 | − | 26.9489i | −1.38260 | − | 0.889446i | ||||
\(919\) | 22.9280 | − | 16.6582i | 0.756326 | − | 0.549503i | −0.141455 | − | 0.989945i | \(-0.545178\pi\) |
0.897781 | + | 0.440442i | \(0.145178\pi\) | |||||||
\(920\) | 2.02515 | + | 1.50520i | 0.0667673 | + | 0.0496251i | ||||
\(921\) | 19.3383 | + | 5.88202i | 0.637219 | + | 0.193819i | ||||
\(922\) | −29.3992 | − | 21.3598i | −0.968212 | − | 0.703447i | ||||
\(923\) | −35.1968 | − | 11.4361i | −1.15852 | − | 0.376425i | ||||
\(924\) | 55.0197 | + | 108.557i | 1.81002 | + | 3.57125i | ||||
\(925\) | 0.415347 | − | 19.1349i | 0.0136565 | − | 0.629152i | ||||
\(926\) | − | 54.6530i | − | 1.79601i | ||||||
\(927\) | 6.01743 | + | 16.3865i | 0.197638 | + | 0.538202i | ||||
\(928\) | 65.9804 | − | 90.8142i | 2.16591 | − | 2.98112i | ||||
\(929\) | 7.67581 | + | 5.57680i | 0.251835 | + | 0.182969i | 0.706540 | − | 0.707673i | \(-0.250255\pi\) |
−0.454705 | + | 0.890642i | \(0.650255\pi\) | |||||||
\(930\) | −9.02300 | + | 6.66702i | −0.295876 | + | 0.218620i | ||||
\(931\) | 15.4612 | + | 12.2587i | 0.506721 | + | 0.401762i | ||||
\(932\) | 19.9890 | 0.654762 | ||||||||
\(933\) | −4.07421 | + | 5.83635i | −0.133384 | + | 0.191074i | ||||
\(934\) | −33.2725 | + | 10.8109i | −1.08871 | + | 0.353743i | ||||
\(935\) | 33.2398 | + | 24.7056i | 1.08706 | + | 0.807961i | ||||
\(936\) | −25.0904 | − | 68.3253i | −0.820105 | − | 2.23328i | ||||
\(937\) | 3.91008 | + | 12.0340i | 0.127737 | + | 0.393133i | 0.994390 | − | 0.105778i | \(-0.0337334\pi\) |
−0.866653 | + | 0.498911i | \(0.833733\pi\) | |||||||
\(938\) | 14.8441 | − | 7.17438i | 0.484678 | − | 0.234252i | ||||
\(939\) | −0.344088 | − | 18.2167i | −0.0112289 | − | 0.594481i | ||||
\(940\) | −6.80176 | + | 9.15133i | −0.221849 | + | 0.298483i | ||||
\(941\) | −12.2379 | − | 37.6644i | −0.398944 | − | 1.22782i | −0.925847 | − | 0.377898i | \(-0.876647\pi\) |
0.526904 | − | 0.849925i | \(-0.323353\pi\) | |||||||
\(942\) | 18.8688 | − | 27.0298i | 0.614778 | − | 0.880677i | ||||
\(943\) | 1.05047 | 0.0342080 | ||||||||
\(944\) | −51.7272 | + | 37.5820i | −1.68358 | + | 1.22319i | ||||
\(945\) | 30.4722 | + | 4.05519i | 0.991261 | + | 0.131915i | ||||
\(946\) | −103.795 | − | 75.4117i | −3.37468 | − | 2.45185i | ||||
\(947\) | −1.80800 | − | 1.31359i | −0.0587520 | − | 0.0426859i | 0.558022 | − | 0.829826i | \(-0.311561\pi\) |
−0.616774 | + | 0.787141i | \(0.711561\pi\) | |||||||
\(948\) | −2.51120 | − | 132.948i | −0.0815599 | − | 4.31795i | ||||
\(949\) | 11.6258 | 0.377390 | ||||||||
\(950\) | −0.817428 | + | 37.6587i | −0.0265209 | + | 1.22181i | ||||
\(951\) | 1.88565 | − | 0.652306i | 0.0611465 | − | 0.0211525i | ||||
\(952\) | −78.4516 | − | 14.1225i | −2.54263 | − | 0.457714i | ||||
\(953\) | −14.5158 | − | 10.5464i | −0.470214 | − | 0.341631i | 0.327311 | − | 0.944917i | \(-0.393858\pi\) |
−0.797525 | + | 0.603286i | \(0.793858\pi\) | |||||||
\(954\) | −60.0134 | + | 2.26794i | −1.94301 | + | 0.0734274i | ||||
\(955\) | 8.87830 | − | 11.9452i | 0.287295 | − | 0.386537i | ||||
\(956\) | −37.6419 | − | 51.8097i | −1.21743 | − | 1.67565i | ||||
\(957\) | 60.3959 | − | 20.8928i | 1.95232 | − | 0.675369i | ||||
\(958\) | 90.7516 | − | 65.9349i | 2.93205 | − | 2.13026i | ||||
\(959\) | 5.65716 | + | 11.7049i | 0.182679 | + | 0.377972i | ||||
\(960\) | −0.549543 | − | 68.3930i | −0.0177364 | − | 2.20737i | ||||
\(961\) | 9.21652 | − | 28.3655i | 0.297307 | − | 0.915017i | ||||
\(962\) | 28.1032 | − | 9.13128i | 0.906083 | − | 0.294404i | ||||
\(963\) | −10.1683 | − | 6.81625i | −0.327667 | − | 0.219651i | ||||
\(964\) | 29.2598 | + | 9.50709i | 0.942395 | + | 0.306203i | ||||
\(965\) | −12.9778 | − | 18.2762i | −0.417769 | − | 0.588330i | ||||
\(966\) | −1.16092 | − | 1.16590i | −0.0373519 | − | 0.0375123i | ||||
\(967\) | 0.183580 | + | 0.252676i | 0.00590352 | + | 0.00812550i | 0.811959 | − | 0.583715i | \(-0.198401\pi\) |
−0.806055 | + | 0.591841i | \(0.798401\pi\) | |||||||
\(968\) | 131.595 | 4.22962 | ||||||||
\(969\) | −10.0235 | + | 14.3588i | −0.322001 | + | 0.461271i | ||||
\(970\) | −5.79897 | + | 17.2097i | −0.186194 | + | 0.552570i | ||||
\(971\) | 34.6426 | + | 25.1694i | 1.11174 | + | 0.807723i | 0.982936 | − | 0.183948i | \(-0.0588877\pi\) |
0.128799 | + | 0.991671i | \(0.458888\pi\) | |||||||
\(972\) | −40.7976 | + | 69.0139i | −1.30858 | + | 2.21362i | ||||
\(973\) | 54.5973 | + | 9.82840i | 1.75031 | + | 0.315084i | ||||
\(974\) | − | 60.4097i | − | 1.93565i | ||||||
\(975\) | 23.7678 | + | 7.79670i | 0.761179 | + | 0.249694i | ||||
\(976\) | 139.886i | 4.47764i | ||||||||
\(977\) | 3.55904 | − | 10.9536i | 0.113864 | − | 0.350437i | −0.877845 | − | 0.478946i | \(-0.841019\pi\) |
0.991708 | + | 0.128509i | \(0.0410191\pi\) | |||||||
\(978\) | 10.1373 | − | 33.3284i | 0.324156 | − | 1.06573i | ||||
\(979\) | 1.07985 | − | 1.48628i | 0.0345121 | − | 0.0475018i | ||||
\(980\) | 77.7685 | − | 20.7922i | 2.48423 | − | 0.664184i | ||||
\(981\) | −6.44616 | + | 22.7260i | −0.205810 | + | 0.725587i | ||||
\(982\) | − | 64.4522i | − | 2.05675i | ||||||
\(983\) | −31.2586 | − | 43.0238i | −0.996995 | − | 1.37225i | −0.927151 | − | 0.374688i | \(-0.877750\pi\) |
−0.0698441 | − | 0.997558i | \(-0.522250\pi\) | |||||||
\(984\) | −68.5978 | − | 90.7614i | −2.18682 | − | 2.89337i | ||||
\(985\) | 47.8568 | + | 0.519335i | 1.52485 | + | 0.0165474i | ||||
\(986\) | −21.1657 | + | 65.1414i | −0.674054 | + | 2.07452i | ||||
\(987\) | 3.21969 | − | 3.20593i | 0.102484 | − | 0.102046i | ||||
\(988\) | −39.8225 | + | 12.9391i | −1.26692 | + | 0.411649i | ||||
\(989\) | 1.18770 | + | 0.385908i | 0.0377668 | + | 0.0122712i | ||||
\(990\) | 52.3823 | − | 76.3378i | 1.66482 | − | 2.42618i | ||||
\(991\) | −15.1162 | − | 46.5229i | −0.480183 | − | 1.47785i | −0.838839 | − | 0.544380i | \(-0.816765\pi\) |
0.358656 | − | 0.933470i | \(-0.383235\pi\) | |||||||
\(992\) | −10.0085 | − | 13.7755i | −0.317770 | − | 0.437373i | ||||
\(993\) | 15.9018 | − | 5.50094i | 0.504629 | − | 0.174567i | ||||
\(994\) | 62.7034 | + | 65.3976i | 1.98883 | + | 2.07429i | ||||
\(995\) | −0.368172 | − | 0.518485i | −0.0116718 | − | 0.0164371i | ||||
\(996\) | −3.63922 | + | 11.9646i | −0.115313 | + | 0.379114i | ||||
\(997\) | −22.2732 | − | 16.1824i | −0.705400 | − | 0.512503i | 0.176287 | − | 0.984339i | \(-0.443591\pi\) |
−0.881686 | + | 0.471836i | \(0.843591\pi\) | |||||||
\(998\) | 22.9036 | − | 70.4899i | 0.725000 | − | 2.23132i | ||||
\(999\) | −16.7278 | − | 10.7612i | −0.529244 | − | 0.340469i |
(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 | 525.2.w.a.104.3 | ✓ | 304 | |
3.2 | odd | 2 | inner | 525.2.w.a.104.73 | yes | 304 | |
7.6 | odd | 2 | inner | 525.2.w.a.104.4 | yes | 304 | |
21.20 | even | 2 | inner | 525.2.w.a.104.74 | yes | 304 | |
25.19 | even | 10 | inner | 525.2.w.a.419.74 | yes | 304 | |
75.44 | odd | 10 | inner | 525.2.w.a.419.4 | yes | 304 | |
175.69 | odd | 10 | inner | 525.2.w.a.419.73 | yes | 304 | |
525.419 | even | 10 | inner | 525.2.w.a.419.3 | yes | 304 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.w.a.104.3 | ✓ | 304 | 1.1 | even | 1 | trivial | |
525.2.w.a.104.4 | yes | 304 | 7.6 | odd | 2 | inner | |
525.2.w.a.104.73 | yes | 304 | 3.2 | odd | 2 | inner | |
525.2.w.a.104.74 | yes | 304 | 21.20 | even | 2 | inner | |
525.2.w.a.419.3 | yes | 304 | 525.419 | even | 10 | inner | |
525.2.w.a.419.4 | yes | 304 | 75.44 | odd | 10 | inner | |
525.2.w.a.419.73 | yes | 304 | 175.69 | odd | 10 | inner | |
525.2.w.a.419.74 | yes | 304 | 25.19 | even | 10 | inner |