Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(35,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 11, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.x (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(920\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 35.1 | ||
Character | \(\chi\) | \(=\) | 552.35 |
Dual form | 552.2.x.a.347.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{10}{11}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41407 | + | 0.0201587i | −0.999898 | + | 0.0142543i | ||||
\(3\) | −0.595463 | + | 1.62648i | −0.343791 | + | 0.939046i | ||||
\(4\) | 1.99919 | − | 0.0570116i | 0.999594 | − | 0.0285058i | ||||
\(5\) | 0.0333805 | − | 0.00980139i | 0.0149282 | − | 0.00438332i | −0.274260 | − | 0.961656i | \(-0.588433\pi\) |
0.289188 | + | 0.957272i | \(0.406615\pi\) | |||||||
\(6\) | 0.809239 | − | 2.31195i | 0.330371 | − | 0.943851i | ||||
\(7\) | 0.316707 | − | 0.274428i | 0.119704 | − | 0.103724i | −0.592952 | − | 0.805238i | \(-0.702038\pi\) |
0.712656 | + | 0.701514i | \(0.247492\pi\) | |||||||
\(8\) | −2.82584 | + | 0.120919i | −0.999086 | + | 0.0427515i | ||||
\(9\) | −2.29085 | − | 1.93701i | −0.763616 | − | 0.645671i | ||||
\(10\) | −0.0470047 | + | 0.0145328i | −0.0148642 | + | 0.00459566i | ||||
\(11\) | 1.96884 | − | 3.06357i | 0.593627 | − | 0.923702i | −0.406323 | − | 0.913730i | \(-0.633189\pi\) |
0.999950 | − | 0.00997253i | \(-0.00317441\pi\) | |||||||
\(12\) | −1.09771 | + | 3.28558i | −0.316883 | + | 0.948465i | ||||
\(13\) | 4.34118 | + | 3.76166i | 1.20403 | + | 1.04330i | 0.997900 | + | 0.0647708i | \(0.0206316\pi\) |
0.206127 | + | 0.978525i | \(0.433914\pi\) | |||||||
\(14\) | −0.442314 | + | 0.394445i | −0.118213 | + | 0.105420i | ||||
\(15\) | −0.00393513 | + | 0.0601289i | −0.00101605 | + | 0.0155252i | ||||
\(16\) | 3.99350 | − | 0.227954i | 0.998375 | − | 0.0569884i | ||||
\(17\) | 3.25551 | − | 1.48674i | 0.789577 | − | 0.360588i | 0.0205373 | − | 0.999789i | \(-0.493462\pi\) |
0.769039 | + | 0.639202i | \(0.220735\pi\) | |||||||
\(18\) | 3.27846 | + | 2.69289i | 0.772742 | + | 0.634721i | ||||
\(19\) | 2.96468 | − | 6.49175i | 0.680145 | − | 1.48931i | −0.182345 | − | 0.983235i | \(-0.558369\pi\) |
0.862490 | − | 0.506074i | \(-0.168904\pi\) | |||||||
\(20\) | 0.0661750 | − | 0.0214979i | 0.0147972 | − | 0.00480707i | ||||
\(21\) | 0.257763 | + | 0.678528i | 0.0562486 | + | 0.148067i | ||||
\(22\) | −2.72232 | + | 4.37180i | −0.580400 | + | 0.932070i | ||||
\(23\) | −2.87743 | + | 3.83672i | −0.599985 | + | 0.800011i | ||||
\(24\) | 1.48601 | − | 4.66817i | 0.303331 | − | 0.952885i | ||||
\(25\) | −4.20525 | + | 2.70255i | −0.841050 | + | 0.540510i | ||||
\(26\) | −6.21457 | − | 5.23173i | −1.21878 | − | 1.02603i | ||||
\(27\) | 4.51462 | − | 2.57259i | 0.868839 | − | 0.495094i | ||||
\(28\) | 0.617511 | − | 0.566689i | 0.116699 | − | 0.107094i | ||||
\(29\) | 0.402280 | + | 0.880870i | 0.0747015 | + | 0.163574i | 0.943298 | − | 0.331946i | \(-0.107705\pi\) |
−0.868597 | + | 0.495519i | \(0.834978\pi\) | |||||||
\(30\) | 0.00435242 | − | 0.0851058i | 0.000794640 | − | 0.0155381i | ||||
\(31\) | 3.69568 | − | 0.531359i | 0.663764 | − | 0.0954349i | 0.197805 | − | 0.980241i | \(-0.436619\pi\) |
0.465959 | + | 0.884806i | \(0.345710\pi\) | |||||||
\(32\) | −5.64249 | + | 0.402846i | −0.997461 | + | 0.0712138i | ||||
\(33\) | 3.81046 | + | 5.02651i | 0.663315 | + | 0.875004i | ||||
\(34\) | −4.57354 | + | 2.16798i | −0.784356 | + | 0.371806i | ||||
\(35\) | 0.00788205 | − | 0.0122647i | 0.00133231 | − | 0.00207311i | ||||
\(36\) | −4.69026 | − | 3.74185i | −0.781711 | − | 0.623641i | ||||
\(37\) | −0.416186 | + | 1.41740i | −0.0684205 | + | 0.233019i | −0.986603 | − | 0.163138i | \(-0.947838\pi\) |
0.918183 | + | 0.396157i | \(0.129656\pi\) | |||||||
\(38\) | −4.06140 | + | 9.23955i | −0.658846 | + | 1.49885i | ||||
\(39\) | −8.70326 | + | 4.82090i | −1.39364 | + | 0.771962i | ||||
\(40\) | −0.0931427 | + | 0.0317335i | −0.0147272 | + | 0.00501751i | ||||
\(41\) | 1.60507 | + | 5.46635i | 0.250669 | + | 0.853701i | 0.984651 | + | 0.174532i | \(0.0558414\pi\) |
−0.733982 | + | 0.679169i | \(0.762340\pi\) | |||||||
\(42\) | −0.378174 | − | 0.954290i | −0.0583534 | − | 0.147250i | ||||
\(43\) | 0.371975 | − | 2.58714i | 0.0567257 | − | 0.394536i | −0.941602 | − | 0.336728i | \(-0.890680\pi\) |
0.998328 | − | 0.0578080i | \(-0.0184111\pi\) | |||||||
\(44\) | 3.76142 | − | 6.23690i | 0.567055 | − | 0.940248i | ||||
\(45\) | −0.0954550 | − | 0.0422049i | −0.0142296 | − | 0.00629154i | ||||
\(46\) | 3.99154 | − | 5.48340i | 0.588520 | − | 0.808483i | ||||
\(47\) | 9.72568 | 1.41864 | 0.709318 | − | 0.704889i | \(-0.249003\pi\) | ||||
0.709318 | + | 0.704889i | \(0.249003\pi\) | |||||||
\(48\) | −2.00722 | + | 6.63107i | −0.289717 | + | 0.957112i | ||||
\(49\) | −0.971211 | + | 6.75492i | −0.138744 | + | 0.964989i | ||||
\(50\) | 5.89204 | − | 3.90637i | 0.833260 | − | 0.552444i | ||||
\(51\) | 0.479612 | + | 6.18030i | 0.0671591 | + | 0.865416i | ||||
\(52\) | 8.89330 | + | 7.27276i | 1.23328 | + | 1.00855i | ||||
\(53\) | 5.80671 | + | 6.70131i | 0.797614 | + | 0.920495i | 0.998248 | − | 0.0591711i | \(-0.0188457\pi\) |
−0.200634 | + | 0.979666i | \(0.564300\pi\) | |||||||
\(54\) | −6.33213 | + | 3.72882i | −0.861694 | + | 0.507429i | ||||
\(55\) | 0.0356935 | − | 0.121561i | 0.00481291 | − | 0.0163913i | ||||
\(56\) | −0.861780 | + | 0.813786i | −0.115160 | + | 0.108747i | ||||
\(57\) | 8.79331 | + | 8.68758i | 1.16470 | + | 1.15070i | ||||
\(58\) | −0.586609 | − | 1.23750i | −0.0770256 | − | 0.162492i | ||||
\(59\) | −0.941538 | − | 0.815848i | −0.122578 | − | 0.106214i | 0.591415 | − | 0.806367i | \(-0.298570\pi\) |
−0.713993 | + | 0.700153i | \(0.753115\pi\) | |||||||
\(60\) | −0.00443901 | + | 0.120433i | −0.000573074 | + | 0.0155479i | ||||
\(61\) | 7.31859 | − | 1.05225i | 0.937050 | − | 0.134727i | 0.343163 | − | 0.939276i | \(-0.388502\pi\) |
0.593887 | + | 0.804549i | \(0.297593\pi\) | |||||||
\(62\) | −5.21524 | + | 0.825879i | −0.662336 | + | 0.104887i | ||||
\(63\) | −1.25710 | + | 0.0152071i | −0.158379 | + | 0.00191591i | ||||
\(64\) | 7.97076 | − | 0.683398i | 0.996345 | − | 0.0854247i | ||||
\(65\) | 0.181780 | + | 0.0830163i | 0.0225471 | + | 0.0102969i | ||||
\(66\) | −5.48958 | − | 7.03103i | −0.675720 | − | 0.865460i | ||||
\(67\) | 3.68454 | − | 2.36791i | 0.450138 | − | 0.289286i | −0.295864 | − | 0.955230i | \(-0.595607\pi\) |
0.746002 | + | 0.665944i | \(0.231971\pi\) | |||||||
\(68\) | 6.42361 | − | 3.15787i | 0.778977 | − | 0.382949i | ||||
\(69\) | −4.52693 | − | 6.96469i | −0.544978 | − | 0.838450i | ||||
\(70\) | −0.0108985 | + | 0.0175020i | −0.00130262 | + | 0.00209189i | ||||
\(71\) | −12.3195 | + | 7.91727i | −1.46206 | + | 0.939607i | −0.463490 | + | 0.886102i | \(0.653403\pi\) |
−0.998568 | + | 0.0535047i | \(0.982961\pi\) | |||||||
\(72\) | 6.70779 | + | 5.19669i | 0.790521 | + | 0.612435i | ||||
\(73\) | 0.695699 | − | 1.52337i | 0.0814255 | − | 0.178297i | −0.864540 | − | 0.502564i | \(-0.832390\pi\) |
0.945966 | + | 0.324267i | \(0.105118\pi\) | |||||||
\(74\) | 0.559943 | − | 2.01269i | 0.0650920 | − | 0.233970i | ||||
\(75\) | −1.89156 | − | 8.44901i | −0.218418 | − | 0.975607i | ||||
\(76\) | 5.55685 | − | 13.1472i | 0.637414 | − | 1.50809i | ||||
\(77\) | −0.217186 | − | 1.51056i | −0.0247506 | − | 0.172144i | ||||
\(78\) | 12.2098 | − | 6.99254i | 1.38249 | − | 0.791749i | ||||
\(79\) | −11.4947 | − | 9.96021i | −1.29325 | − | 1.12061i | −0.985596 | − | 0.169115i | \(-0.945909\pi\) |
−0.307658 | − | 0.951497i | \(-0.599545\pi\) | |||||||
\(80\) | 0.131071 | − | 0.0467511i | 0.0146541 | − | 0.00522693i | ||||
\(81\) | 1.49596 | + | 8.87480i | 0.166217 | + | 0.986089i | ||||
\(82\) | −2.37987 | − | 7.69745i | −0.262813 | − | 0.850041i | ||||
\(83\) | −2.26412 | + | 7.71087i | −0.248519 | + | 0.846378i | 0.736866 | + | 0.676038i | \(0.236305\pi\) |
−0.985385 | + | 0.170340i | \(0.945514\pi\) | |||||||
\(84\) | 0.554001 | + | 1.34181i | 0.0604465 | + | 0.146403i | ||||
\(85\) | 0.0940983 | − | 0.0815366i | 0.0102064 | − | 0.00884389i | ||||
\(86\) | −0.473845 | + | 3.66590i | −0.0510961 | + | 0.395304i | ||||
\(87\) | −1.67226 | + | 0.129773i | −0.179285 | + | 0.0139131i | ||||
\(88\) | −5.19318 | + | 8.89524i | −0.553595 | + | 0.948236i | ||||
\(89\) | 17.0741 | + | 2.45488i | 1.80985 | + | 0.260217i | 0.962590 | − | 0.270961i | \(-0.0873416\pi\) |
0.847260 | + | 0.531179i | \(0.178251\pi\) | |||||||
\(90\) | 0.135831 | + | 0.0577565i | 0.0143178 | + | 0.00608807i | ||||
\(91\) | 2.40719 | 0.252342 | ||||||||
\(92\) | −5.53378 | + | 7.83437i | −0.576936 | + | 0.816789i | ||||
\(93\) | −1.33640 | + | 6.32734i | −0.138578 | + | 0.656115i | ||||
\(94\) | −13.7528 | + | 0.196057i | −1.41849 | + | 0.0202217i | ||||
\(95\) | 0.0353343 | − | 0.245756i | 0.00362522 | − | 0.0252140i | ||||
\(96\) | 2.70468 | − | 9.41726i | 0.276045 | − | 0.961145i | ||||
\(97\) | −7.05650 | + | 2.07198i | −0.716479 | + | 0.210377i | −0.619599 | − | 0.784919i | \(-0.712705\pi\) |
−0.0968806 | + | 0.995296i | \(0.530886\pi\) | |||||||
\(98\) | 1.23719 | − | 9.57151i | 0.124975 | − | 0.966869i | ||||
\(99\) | −10.4445 | + | 3.20451i | −1.04971 | + | 0.322065i | ||||
\(100\) | −8.25300 | + | 5.64265i | −0.825300 | + | 0.564265i | ||||
\(101\) | −8.60186 | − | 2.52573i | −0.855917 | − | 0.251320i | −0.175802 | − | 0.984425i | \(-0.556252\pi\) |
−0.680115 | + | 0.733105i | \(0.738070\pi\) | |||||||
\(102\) | −0.802791 | − | 8.72971i | −0.0794882 | − | 0.864370i | ||||
\(103\) | 3.34943 | − | 5.21181i | 0.330029 | − | 0.513535i | −0.636096 | − | 0.771610i | \(-0.719452\pi\) |
0.966125 | + | 0.258075i | \(0.0830882\pi\) | |||||||
\(104\) | −12.7224 | − | 10.1049i | −1.24753 | − | 0.990868i | ||||
\(105\) | 0.0152548 | + | 0.0201231i | 0.00148871 | + | 0.00196382i | ||||
\(106\) | −8.34619 | − | 9.35906i | −0.810654 | − | 0.909032i | ||||
\(107\) | 9.70515 | − | 1.39539i | 0.938233 | − | 0.134898i | 0.343800 | − | 0.939043i | \(-0.388286\pi\) |
0.594433 | + | 0.804145i | \(0.297377\pi\) | |||||||
\(108\) | 8.87891 | − | 5.40047i | 0.854373 | − | 0.519660i | ||||
\(109\) | 14.4054 | − | 6.57871i | 1.37978 | − | 0.630126i | 0.419143 | − | 0.907920i | \(-0.362331\pi\) |
0.960640 | + | 0.277795i | \(0.0896035\pi\) | |||||||
\(110\) | −0.0480226 | + | 0.172615i | −0.00457877 | + | 0.0164582i | ||||
\(111\) | −2.05754 | − | 1.52092i | −0.195293 | − | 0.144360i | ||||
\(112\) | 1.20221 | − | 1.16812i | 0.113598 | − | 0.110377i | ||||
\(113\) | −7.06055 | − | 10.9864i | −0.664201 | − | 1.03352i | −0.995929 | − | 0.0901419i | \(-0.971268\pi\) |
0.331728 | − | 0.943375i | \(-0.392368\pi\) | |||||||
\(114\) | −12.6095 | − | 12.1076i | −1.18099 | − | 1.13398i | ||||
\(115\) | −0.0584446 | + | 0.156274i | −0.00544999 | + | 0.0145727i | ||||
\(116\) | 0.854453 | + | 1.73809i | 0.0793340 | + | 0.161378i | ||||
\(117\) | −2.65860 | − | 17.0263i | −0.245788 | − | 1.57408i | ||||
\(118\) | 1.34785 | + | 1.13469i | 0.124079 | + | 0.104456i | ||||
\(119\) | 0.623038 | − | 1.36426i | 0.0571138 | − | 0.125062i | ||||
\(120\) | 0.00384929 | − | 0.170391i | 0.000351391 | − | 0.0155545i | ||||
\(121\) | −0.939588 | − | 2.05741i | −0.0854171 | − | 0.187037i | ||||
\(122\) | −10.3278 | + | 1.63550i | −0.935034 | + | 0.148071i | ||||
\(123\) | −9.84665 | − | 0.644412i | −0.887843 | − | 0.0581047i | ||||
\(124\) | 7.35807 | − | 1.27298i | 0.660774 | − | 0.114317i | ||||
\(125\) | −0.227797 | + | 0.262891i | −0.0203747 | + | 0.0235137i | ||||
\(126\) | 1.77732 | − | 0.0468453i | 0.158336 | − | 0.00417332i | ||||
\(127\) | −3.68266 | + | 5.73034i | −0.326784 | + | 0.508485i | −0.965307 | − | 0.261117i | \(-0.915909\pi\) |
0.638524 | + | 0.769602i | \(0.279545\pi\) | |||||||
\(128\) | −11.2574 | + | 1.12705i | −0.995026 | + | 0.0996183i | ||||
\(129\) | 3.98643 | + | 2.14556i | 0.350986 | + | 0.188906i | ||||
\(130\) | −0.258723 | − | 0.113726i | −0.0226915 | − | 0.00997446i | ||||
\(131\) | 6.24269 | − | 5.40932i | 0.545426 | − | 0.472614i | −0.338025 | − | 0.941137i | \(-0.609759\pi\) |
0.883452 | + | 0.468523i | \(0.155214\pi\) | |||||||
\(132\) | 7.90438 | + | 9.83170i | 0.687988 | + | 0.855740i | ||||
\(133\) | −0.842583 | − | 2.86957i | −0.0730612 | − | 0.248824i | ||||
\(134\) | −5.16246 | + | 3.42266i | −0.445968 | + | 0.295673i | ||||
\(135\) | 0.125485 | − | 0.130124i | 0.0108001 | − | 0.0111993i | ||||
\(136\) | −9.01977 | + | 4.59495i | −0.773439 | + | 0.394013i | ||||
\(137\) | − | 15.8498i | − | 1.35414i | −0.735919 | − | 0.677069i | \(-0.763250\pi\) | ||
0.735919 | − | 0.677069i | \(-0.236750\pi\) | |||||||
\(138\) | 6.54179 | + | 9.75730i | 0.556875 | + | 0.830597i | ||||
\(139\) | −4.46053 | −0.378337 | −0.189169 | − | 0.981945i | \(-0.560579\pi\) | ||||
−0.189169 | + | 0.981945i | \(0.560579\pi\) | |||||||
\(140\) | 0.0150585 | − | 0.0249688i | 0.00127267 | − | 0.00211025i | ||||
\(141\) | −5.79129 | + | 15.8186i | −0.487714 | + | 1.33216i | ||||
\(142\) | 17.2610 | − | 11.4439i | 1.44852 | − | 0.960352i | ||||
\(143\) | 20.0712 | − | 5.89344i | 1.67844 | − | 0.492834i | ||||
\(144\) | −9.59004 | − | 7.21326i | −0.799170 | − | 0.601105i | ||||
\(145\) | 0.0220621 | + | 0.0254610i | 0.00183215 | + | 0.00211442i | ||||
\(146\) | −0.953058 | + | 2.16817i | −0.0788757 | + | 0.179439i | ||||
\(147\) | −10.4084 | − | 5.60196i | −0.858470 | − | 0.462042i | ||||
\(148\) | −0.751225 | + | 2.85737i | −0.0617503 | + | 0.234874i | ||||
\(149\) | −11.1475 | − | 7.16407i | −0.913240 | − | 0.586904i | −0.00255120 | − | 0.999997i | \(-0.500812\pi\) |
−0.910689 | + | 0.413093i | \(0.864448\pi\) | |||||||
\(150\) | 2.84512 | + | 11.9094i | 0.232303 | + | 0.972395i | ||||
\(151\) | 3.46400 | + | 3.00158i | 0.281897 | + | 0.244265i | 0.784319 | − | 0.620357i | \(-0.213012\pi\) |
−0.502423 | + | 0.864622i | \(0.667558\pi\) | |||||||
\(152\) | −7.59274 | + | 18.7031i | −0.615853 | + | 1.51702i | ||||
\(153\) | −10.3377 | − | 2.90007i | −0.835754 | − | 0.234457i | ||||
\(154\) | 0.337567 | + | 2.13166i | 0.0272019 | + | 0.171774i | ||||
\(155\) | 0.118156 | − | 0.0539598i | 0.00949048 | − | 0.00433416i | ||||
\(156\) | −17.1246 | + | 10.1341i | −1.37107 | + | 0.811375i | ||||
\(157\) | −13.5958 | − | 6.20898i | −1.08506 | − | 0.495531i | −0.209091 | − | 0.977896i | \(-0.567050\pi\) |
−0.875970 | + | 0.482366i | \(0.839778\pi\) | |||||||
\(158\) | 16.4551 | + | 13.8527i | 1.30910 | + | 1.10206i | ||||
\(159\) | −14.3572 | + | 5.45410i | −1.13860 | + | 0.432538i | ||||
\(160\) | −0.184401 | + | 0.0687515i | −0.0145781 | + | 0.00543528i | ||||
\(161\) | 0.141603 | + | 2.00476i | 0.0111599 | + | 0.157997i | ||||
\(162\) | −2.29429 | − | 12.5194i | −0.180257 | − | 0.983620i | ||||
\(163\) | 1.71978 | − | 1.10524i | 0.134704 | − | 0.0865688i | −0.471553 | − | 0.881837i | \(-0.656307\pi\) |
0.606257 | + | 0.795269i | \(0.292670\pi\) | |||||||
\(164\) | 3.52047 | + | 10.8368i | 0.274903 | + | 0.846209i | ||||
\(165\) | 0.176462 | + | 0.130440i | 0.0137375 | + | 0.0101547i | ||||
\(166\) | 3.04618 | − | 10.9493i | 0.236429 | − | 0.849834i | ||||
\(167\) | 0.593176 | + | 1.29887i | 0.0459013 | + | 0.100510i | 0.931193 | − | 0.364526i | \(-0.118769\pi\) |
−0.885292 | + | 0.465035i | \(0.846042\pi\) | |||||||
\(168\) | −0.810445 | − | 1.88624i | −0.0625272 | − | 0.145527i | ||||
\(169\) | 2.84572 | + | 19.7924i | 0.218901 | + | 1.52249i | ||||
\(170\) | −0.131418 | + | 0.117195i | −0.0100793 | + | 0.00898847i | ||||
\(171\) | −19.3662 | + | 9.12897i | −1.48097 | + | 0.698110i | ||||
\(172\) | 0.596151 | − | 5.19339i | 0.0454561 | − | 0.395992i | ||||
\(173\) | 9.39169 | + | 6.03568i | 0.714037 | + | 0.458884i | 0.846558 | − | 0.532296i | \(-0.178671\pi\) |
−0.132521 | + | 0.991180i | \(0.542307\pi\) | |||||||
\(174\) | 2.36207 | − | 0.217218i | 0.179068 | − | 0.0164673i | ||||
\(175\) | −0.590176 | + | 2.00995i | −0.0446131 | + | 0.151938i | ||||
\(176\) | 7.16420 | − | 12.6832i | 0.540022 | − | 0.956031i | ||||
\(177\) | 1.88761 | − | 1.04558i | 0.141881 | − | 0.0785907i | ||||
\(178\) | −24.1934 | − | 3.12719i | −1.81338 | − | 0.234392i | ||||
\(179\) | −5.49769 | − | 18.7234i | −0.410916 | − | 1.39945i | −0.861972 | − | 0.506957i | \(-0.830770\pi\) |
0.451055 | − | 0.892496i | \(-0.351048\pi\) | |||||||
\(180\) | −0.193239 | − | 0.0789336i | −0.0144032 | − | 0.00588336i | ||||
\(181\) | 1.05453 | + | 0.151618i | 0.0783823 | + | 0.0112697i | 0.181394 | − | 0.983410i | \(-0.441939\pi\) |
−0.103012 | + | 0.994680i | \(0.532848\pi\) | |||||||
\(182\) | −3.40393 | + | 0.0485257i | −0.252316 | + | 0.00359697i | ||||
\(183\) | −2.64649 | + | 12.5301i | −0.195634 | + | 0.926251i | ||||
\(184\) | 7.66721 | − | 11.1899i | 0.565235 | − | 0.824930i | ||||
\(185\) | 0.0513926i | 0.00377846i | ||||||||
\(186\) | 1.76221 | − | 8.97424i | 0.129212 | − | 0.658023i | ||||
\(187\) | 1.85483 | − | 12.9006i | 0.135639 | − | 0.943388i | ||||
\(188\) | 19.4435 | − | 0.554477i | 1.41806 | − | 0.0404394i | ||||
\(189\) | 0.723822 | − | 2.05369i | 0.0526503 | − | 0.149384i | ||||
\(190\) | −0.0450111 | + | 0.348228i | −0.00326545 | + | 0.0252631i | ||||
\(191\) | −11.6074 | − | 13.3957i | −0.839883 | − | 0.969277i | 0.159958 | − | 0.987124i | \(-0.448864\pi\) |
−0.999841 | + | 0.0178471i | \(0.994319\pi\) | |||||||
\(192\) | −3.63476 | + | 13.3712i | −0.262316 | + | 0.964982i | ||||
\(193\) | 5.10023 | + | 1.49756i | 0.367123 | + | 0.107797i | 0.460090 | − | 0.887872i | \(-0.347817\pi\) |
−0.0929675 | + | 0.995669i | \(0.529635\pi\) | |||||||
\(194\) | 9.93662 | − | 3.07217i | 0.713408 | − | 0.220569i | ||||
\(195\) | −0.243267 | + | 0.246228i | −0.0174207 | + | 0.0176328i | ||||
\(196\) | −1.55652 | + | 13.5597i | −0.111180 | + | 0.968552i | ||||
\(197\) | 6.82962 | − | 7.88180i | 0.486590 | − | 0.561555i | −0.458361 | − | 0.888766i | \(-0.651563\pi\) |
0.944951 | + | 0.327211i | \(0.106109\pi\) | |||||||
\(198\) | 14.7046 | − | 4.74195i | 1.04501 | − | 0.336995i | ||||
\(199\) | −20.2588 | + | 2.91278i | −1.43611 | + | 0.206482i | −0.816009 | − | 0.578039i | \(-0.803818\pi\) |
−0.620102 | + | 0.784521i | \(0.712909\pi\) | |||||||
\(200\) | 11.5566 | − | 8.14547i | 0.817173 | − | 0.575972i | ||||
\(201\) | 1.65734 | + | 7.40281i | 0.116900 | + | 0.522154i | ||||
\(202\) | 12.2146 | + | 3.39816i | 0.859413 | + | 0.239094i | ||||
\(203\) | 0.369140 | + | 0.168581i | 0.0259086 | + | 0.0118321i | ||||
\(204\) | 1.31118 | + | 12.3282i | 0.0918011 | + | 0.863149i | ||||
\(205\) | 0.107156 | + | 0.166738i | 0.00748408 | + | 0.0116455i | ||||
\(206\) | −4.63126 | + | 7.43738i | −0.322675 | + | 0.518187i | ||||
\(207\) | 14.0235 | − | 3.21572i | 0.974702 | − | 0.223508i | ||||
\(208\) | 18.1940 | + | 14.0326i | 1.26153 | + | 0.972985i | ||||
\(209\) | −14.0510 | − | 21.8637i | −0.971925 | − | 1.51235i | ||||
\(210\) | −0.0219770 | − | 0.0281480i | −0.00151656 | − | 0.00194240i | ||||
\(211\) | 3.04253 | − | 6.66221i | 0.209456 | − | 0.458645i | −0.775523 | − | 0.631320i | \(-0.782514\pi\) |
0.984979 | + | 0.172674i | \(0.0552408\pi\) | |||||||
\(212\) | 11.9908 | + | 13.0661i | 0.823529 | + | 0.897384i | ||||
\(213\) | −5.54143 | − | 24.7518i | −0.379692 | − | 1.69597i | ||||
\(214\) | −13.6956 | + | 2.16882i | −0.936215 | + | 0.148258i | ||||
\(215\) | −0.0129409 | − | 0.0900060i | −0.000882562 | − | 0.00613836i | ||||
\(216\) | −12.4465 | + | 7.81562i | −0.846879 | + | 0.531786i | ||||
\(217\) | 1.02463 | − | 1.18248i | 0.0695563 | − | 0.0802722i | ||||
\(218\) | −20.2376 | + | 9.59314i | −1.37066 | + | 0.649730i | ||||
\(219\) | 2.06346 | + | 2.03865i | 0.139436 | + | 0.137759i | ||||
\(220\) | 0.0644276 | − | 0.245058i | 0.00434371 | − | 0.0165218i | ||||
\(221\) | 19.7254 | + | 5.79189i | 1.32687 | + | 0.389605i | ||||
\(222\) | 2.94016 | + | 2.10922i | 0.197331 | + | 0.141561i | ||||
\(223\) | −6.07060 | + | 5.26021i | −0.406518 | + | 0.352250i | −0.833991 | − | 0.551779i | \(-0.813949\pi\) |
0.427473 | + | 0.904028i | \(0.359404\pi\) | |||||||
\(224\) | −1.67646 | + | 1.67604i | −0.112013 | + | 0.111985i | ||||
\(225\) | 14.8685 | + | 1.95450i | 0.991230 | + | 0.130300i | ||||
\(226\) | 10.2056 | + | 15.3933i | 0.678866 | + | 1.02394i | ||||
\(227\) | 3.06342 | + | 0.440453i | 0.203326 | + | 0.0292339i | 0.243225 | − | 0.969970i | \(-0.421795\pi\) |
−0.0398991 | + | 0.999204i | \(0.512704\pi\) | |||||||
\(228\) | 18.0748 | + | 16.8668i | 1.19703 | + | 1.11703i | ||||
\(229\) | 12.6095i | 0.833259i | 0.909076 | + | 0.416630i | \(0.136789\pi\) | ||||
−0.909076 | + | 0.416630i | \(0.863211\pi\) | |||||||
\(230\) | 0.0794945 | − | 0.222161i | 0.00524171 | − | 0.0146489i | ||||
\(231\) | 2.58621 | + | 0.546236i | 0.170160 | + | 0.0359397i | ||||
\(232\) | −1.24329 | − | 2.44056i | −0.0816262 | − | 0.160230i | ||||
\(233\) | −9.80781 | − | 1.41015i | −0.642531 | − | 0.0923820i | −0.186655 | − | 0.982425i | \(-0.559765\pi\) |
−0.455876 | + | 0.890043i | \(0.650674\pi\) | |||||||
\(234\) | 4.10268 | + | 24.0228i | 0.268201 | + | 1.57042i | ||||
\(235\) | 0.324648 | − | 0.0953252i | 0.0211777 | − | 0.00621833i | ||||
\(236\) | −1.92882 | − | 1.57735i | −0.125556 | − | 0.102677i | ||||
\(237\) | 23.0447 | − | 12.7649i | 1.49692 | − | 0.829170i | ||||
\(238\) | −0.853518 | + | 1.94172i | −0.0553254 | + | 0.125863i | ||||
\(239\) | 29.3831 | + | 8.62765i | 1.90063 | + | 0.558076i | 0.989187 | + | 0.146657i | \(0.0468513\pi\) |
0.911446 | + | 0.411419i | \(0.134967\pi\) | |||||||
\(240\) | −0.00200831 | + | 0.241022i | −0.000129636 | + | 0.0155579i | ||||
\(241\) | −19.2134 | − | 12.3477i | −1.23765 | − | 0.795388i | −0.252583 | − | 0.967575i | \(-0.581280\pi\) |
−0.985064 | + | 0.172188i | \(0.944916\pi\) | |||||||
\(242\) | 1.37012 | + | 2.89038i | 0.0880745 | + | 0.185801i | ||||
\(243\) | −15.3254 | − | 2.85148i | −0.983127 | − | 0.182923i | ||||
\(244\) | 14.5712 | − | 2.52090i | 0.932828 | − | 0.161384i | ||||
\(245\) | 0.0337882 | + | 0.235002i | 0.00215865 | + | 0.0150137i | ||||
\(246\) | 13.9368 | + | 0.712749i | 0.888581 | + | 0.0454432i | ||||
\(247\) | 37.2899 | − | 17.0297i | 2.37270 | − | 1.08358i | ||||
\(248\) | −10.3792 | + | 1.94842i | −0.659077 | + | 0.123724i | ||||
\(249\) | −11.1933 | − | 8.27407i | −0.709349 | − | 0.524348i | ||||
\(250\) | 0.316821 | − | 0.376339i | 0.0200375 | − | 0.0238017i | ||||
\(251\) | −2.62720 | − | 4.08800i | −0.165827 | − | 0.258032i | 0.748388 | − | 0.663261i | \(-0.230828\pi\) |
−0.914215 | + | 0.405229i | \(0.867192\pi\) | |||||||
\(252\) | −2.51231 | + | 0.102071i | −0.158260 | + | 0.00642987i | ||||
\(253\) | 6.08888 | + | 16.3691i | 0.382805 | + | 1.02912i | ||||
\(254\) | 5.09203 | − | 8.17734i | 0.319502 | − | 0.513092i | ||||
\(255\) | 0.0765852 | + | 0.201601i | 0.00479595 | + | 0.0126247i | ||||
\(256\) | 15.8961 | − | 1.82067i | 0.993505 | − | 0.113792i | ||||
\(257\) | 21.6869 | + | 9.90408i | 1.35279 | + | 0.617799i | 0.954156 | − | 0.299310i | \(-0.0967564\pi\) |
0.398636 | + | 0.917109i | \(0.369484\pi\) | |||||||
\(258\) | −5.68034 | − | 2.95361i | −0.353643 | − | 0.183884i | ||||
\(259\) | 0.257165 | + | 0.563113i | 0.0159795 | + | 0.0349901i | ||||
\(260\) | 0.368146 | + | 0.155601i | 0.0228314 | + | 0.00964999i | ||||
\(261\) | 0.784696 | − | 2.79716i | 0.0485715 | − | 0.173140i | ||||
\(262\) | −8.71855 | + | 7.77500i | −0.538634 | + | 0.480341i | ||||
\(263\) | −6.48970 | + | 7.48951i | −0.400172 | + | 0.461823i | −0.919695 | − | 0.392633i | \(-0.871564\pi\) |
0.519523 | + | 0.854456i | \(0.326110\pi\) | |||||||
\(264\) | −11.3755 | − | 13.7434i | −0.700116 | − | 0.845846i | ||||
\(265\) | 0.259513 | + | 0.166779i | 0.0159418 | + | 0.0102451i | ||||
\(266\) | 1.24932 | + | 4.04079i | 0.0766006 | + | 0.247757i | ||||
\(267\) | −14.1598 | + | 26.3088i | −0.866566 | + | 1.61007i | ||||
\(268\) | 7.23108 | − | 4.94395i | 0.441708 | − | 0.302000i | ||||
\(269\) | 5.72608 | + | 6.60824i | 0.349125 | + | 0.402912i | 0.902967 | − | 0.429710i | \(-0.141384\pi\) |
−0.553842 | + | 0.832622i | \(0.686839\pi\) | |||||||
\(270\) | −0.174822 | + | 0.186534i | −0.0106393 | + | 0.0113521i | ||||
\(271\) | −4.16286 | − | 14.1774i | −0.252876 | − | 0.861215i | −0.983878 | − | 0.178840i | \(-0.942765\pi\) |
0.731003 | − | 0.682375i | \(-0.239053\pi\) | |||||||
\(272\) | 12.6620 | − | 6.67940i | 0.767744 | − | 0.404998i | ||||
\(273\) | −1.43339 | + | 3.91523i | −0.0867528 | + | 0.236961i | ||||
\(274\) | 0.319511 | + | 22.4127i | 0.0193024 | + | 1.35400i | ||||
\(275\) | 18.2040i | 1.09774i | ||||||||
\(276\) | −9.44725 | − | 13.6656i | −0.568658 | − | 0.822574i | ||||
\(277\) | 25.6551i | 1.54146i | 0.637160 | + | 0.770732i | \(0.280109\pi\) | ||||
−0.637160 | + | 0.770732i | \(0.719891\pi\) | |||||||
\(278\) | 6.30750 | − | 0.0899185i | 0.378299 | − | 0.00539295i | ||||
\(279\) | −9.49549 | − | 5.94132i | −0.568480 | − | 0.355698i | ||||
\(280\) | −0.0207904 | + | 0.0356112i | −0.00124246 | + | 0.00212818i | ||||
\(281\) | 4.11862 | + | 14.0267i | 0.245696 | + | 0.836764i | 0.986320 | + | 0.164844i | \(0.0527121\pi\) |
−0.740623 | + | 0.671920i | \(0.765470\pi\) | |||||||
\(282\) | 7.87040 | − | 22.4853i | 0.468676 | − | 1.33898i | ||||
\(283\) | 8.66353 | + | 9.99824i | 0.514993 | + | 0.594334i | 0.952370 | − | 0.304944i | \(-0.0986379\pi\) |
−0.437377 | + | 0.899278i | \(0.644092\pi\) | |||||||
\(284\) | −24.1776 | + | 16.5305i | −1.43468 | + | 0.980902i | ||||
\(285\) | 0.378675 | + | 0.203809i | 0.0224308 | + | 0.0120726i | ||||
\(286\) | −28.2633 | + | 8.73834i | −1.67124 | + | 0.516709i | ||||
\(287\) | 2.00846 | + | 1.29076i | 0.118555 | + | 0.0761910i | ||||
\(288\) | 13.7064 | + | 10.0067i | 0.807657 | + | 0.589652i | ||||
\(289\) | −2.74470 | + | 3.16755i | −0.161453 | + | 0.186327i | ||||
\(290\) | −0.0317105 | − | 0.0355588i | −0.00186211 | − | 0.00208809i | ||||
\(291\) | 0.831870 | − | 12.7110i | 0.0487651 | − | 0.745133i | ||||
\(292\) | 1.30398 | − | 3.08516i | 0.0763099 | − | 0.180546i | ||||
\(293\) | −7.11200 | − | 15.5731i | −0.415487 | − | 0.909790i | −0.995462 | − | 0.0951561i | \(-0.969665\pi\) |
0.579975 | − | 0.814634i | \(-0.303062\pi\) | |||||||
\(294\) | 14.8311 | + | 7.71175i | 0.864969 | + | 0.449758i | ||||
\(295\) | −0.0394254 | − | 0.0180050i | −0.00229544 | − | 0.00104829i | ||||
\(296\) | 1.00468 | − | 4.05567i | 0.0583960 | − | 0.235731i | ||||
\(297\) | 1.00726 | − | 18.8959i | 0.0584470 | − | 1.09645i | ||||
\(298\) | 15.9078 | + | 9.90578i | 0.921513 | + | 0.573826i | ||||
\(299\) | −26.9239 | + | 5.83202i | −1.55705 | + | 0.337274i | ||||
\(300\) | −4.26327 | − | 16.7833i | −0.246140 | − | 0.968984i | ||||
\(301\) | −0.592178 | − | 0.921447i | −0.0341326 | − | 0.0531113i | ||||
\(302\) | −4.95885 | − | 4.17461i | −0.285350 | − | 0.240222i | ||||
\(303\) | 9.23014 | − | 12.4867i | 0.530258 | − | 0.717344i | ||||
\(304\) | 10.3596 | − | 26.6006i | 0.594166 | − | 1.52565i | ||||
\(305\) | 0.233985 | − | 0.106857i | 0.0133979 | − | 0.00611862i | ||||
\(306\) | 14.6767 | + | 3.89250i | 0.839011 | + | 0.222520i | ||||
\(307\) | 3.69932 | + | 25.7293i | 0.211131 | + | 1.46845i | 0.769388 | + | 0.638782i | \(0.220562\pi\) |
−0.558256 | + | 0.829669i | \(0.688529\pi\) | |||||||
\(308\) | −0.520314 | − | 3.00751i | −0.0296477 | − | 0.171369i | ||||
\(309\) | 6.48242 | + | 8.55120i | 0.368772 | + | 0.486461i | ||||
\(310\) | −0.165992 | + | 0.0786848i | −0.00942774 | + | 0.00446900i | ||||
\(311\) | −15.8905 | − | 10.2122i | −0.901070 | − | 0.579082i | 0.00603772 | − | 0.999982i | \(-0.498078\pi\) |
−0.907107 | + | 0.420900i | \(0.861714\pi\) | |||||||
\(312\) | 24.0111 | − | 14.6755i | 1.35936 | − | 0.830836i | ||||
\(313\) | −14.0182 | − | 4.11612i | −0.792357 | − | 0.232657i | −0.139584 | − | 0.990210i | \(-0.544576\pi\) |
−0.652773 | + | 0.757553i | \(0.726395\pi\) | |||||||
\(314\) | 19.3505 | + | 8.50586i | 1.09201 | + | 0.480013i | ||||
\(315\) | −0.0418135 | + | 0.0128289i | −0.00235592 | + | 0.000722828i | ||||
\(316\) | −23.5479 | − | 19.2570i | −1.32467 | − | 1.08329i | ||||
\(317\) | −14.7088 | + | 4.31890i | −0.826130 | + | 0.242574i | −0.667354 | − | 0.744741i | \(-0.732573\pi\) |
−0.158776 | + | 0.987315i | \(0.550755\pi\) | |||||||
\(318\) | 20.1921 | − | 8.00190i | 1.13232 | − | 0.448724i | ||||
\(319\) | 3.49064 | + | 0.501878i | 0.195438 | + | 0.0280998i | ||||
\(320\) | 0.259369 | − | 0.100937i | 0.0144992 | − | 0.00564253i | ||||
\(321\) | −3.50950 | + | 16.6161i | −0.195881 | + | 0.927420i | ||||
\(322\) | −0.240650 | − | 2.83202i | −0.0134109 | − | 0.157822i | ||||
\(323\) | − | 25.5416i | − | 1.42117i | ||||||
\(324\) | 3.49666 | + | 17.6571i | 0.194259 | + | 0.980950i | ||||
\(325\) | −28.4218 | − | 4.08644i | −1.57656 | − | 0.226675i | ||||
\(326\) | −2.40961 | + | 1.59755i | −0.133456 | + | 0.0884801i | ||||
\(327\) | 2.12224 | + | 27.3473i | 0.117360 | + | 1.51231i | ||||
\(328\) | −5.19665 | − | 15.2530i | −0.286937 | − | 0.842204i | ||||
\(329\) | 3.08019 | − | 2.66900i | 0.169816 | − | 0.147147i | ||||
\(330\) | −0.252159 | − | 0.180894i | −0.0138809 | − | 0.00995786i | ||||
\(331\) | 29.5627 | + | 8.68039i | 1.62491 | + | 0.477117i | 0.962333 | − | 0.271874i | \(-0.0876435\pi\) |
0.662580 | + | 0.748992i | \(0.269462\pi\) | |||||||
\(332\) | −4.08678 | + | 15.5446i | −0.224291 | + | 0.853118i | ||||
\(333\) | 3.69894 | − | 2.44088i | 0.202700 | − | 0.133760i | ||||
\(334\) | −0.864976 | − | 1.82474i | −0.0473294 | − | 0.0998454i | ||||
\(335\) | 0.0997828 | − | 0.115155i | 0.00545171 | − | 0.00629161i | ||||
\(336\) | 1.18405 | + | 2.65094i | 0.0645952 | + | 0.144621i | ||||
\(337\) | −0.476004 | − | 3.31068i | −0.0259296 | − | 0.180344i | 0.972741 | − | 0.231895i | \(-0.0744926\pi\) |
−0.998670 | + | 0.0515510i | \(0.983584\pi\) | |||||||
\(338\) | −4.42303 | − | 27.9305i | −0.240581 | − | 1.51922i | ||||
\(339\) | 22.0735 | − | 4.94180i | 1.19887 | − | 0.268402i | ||||
\(340\) | 0.183472 | − | 0.168372i | 0.00995014 | − | 0.00913123i | ||||
\(341\) | 5.64835 | − | 12.3682i | 0.305875 | − | 0.669773i | ||||
\(342\) | 27.2012 | − | 13.2994i | 1.47087 | − | 0.719149i | ||||
\(343\) | 3.13209 | + | 4.87363i | 0.169117 | + | 0.263151i | ||||
\(344\) | −0.738307 | + | 7.35584i | −0.0398068 | + | 0.396600i | ||||
\(345\) | −0.219375 | − | 0.188114i | −0.0118107 | − | 0.0101277i | ||||
\(346\) | −13.4022 | − | 8.34554i | −0.720506 | − | 0.448659i | ||||
\(347\) | −4.24367 | − | 6.60327i | −0.227812 | − | 0.354482i | 0.708464 | − | 0.705747i | \(-0.249388\pi\) |
−0.936276 | + | 0.351264i | \(0.885752\pi\) | |||||||
\(348\) | −3.33576 | + | 0.354778i | −0.178815 | + | 0.0190181i | ||||
\(349\) | −15.0987 | − | 6.89533i | −0.808213 | − | 0.369099i | −0.0319358 | − | 0.999490i | \(-0.510167\pi\) |
−0.776278 | + | 0.630391i | \(0.782894\pi\) | |||||||
\(350\) | 0.794032 | − | 2.85411i | 0.0424428 | − | 0.152559i | ||||
\(351\) | 29.2760 | + | 5.81439i | 1.56264 | + | 0.310349i | ||||
\(352\) | −9.87501 | + | 18.0793i | −0.526340 | + | 0.963631i | ||||
\(353\) | −32.7449 | + | 4.70800i | −1.74283 | + | 0.250582i | −0.938913 | − | 0.344154i | \(-0.888166\pi\) |
−0.803921 | + | 0.594736i | \(0.797257\pi\) | |||||||
\(354\) | −2.64813 | + | 1.51658i | −0.140747 | + | 0.0806052i | ||||
\(355\) | −0.333631 | + | 0.385031i | −0.0177073 | + | 0.0204353i | ||||
\(356\) | 34.2743 | + | 3.93435i | 1.81653 | + | 0.208520i | ||||
\(357\) | 1.84795 | + | 1.82573i | 0.0978036 | + | 0.0966277i | ||||
\(358\) | 8.15155 | + | 26.3654i | 0.430823 | + | 1.39345i | ||||
\(359\) | −20.2083 | − | 5.93370i | −1.06655 | − | 0.313169i | −0.299067 | − | 0.954232i | \(-0.596675\pi\) |
−0.767488 | + | 0.641064i | \(0.778494\pi\) | |||||||
\(360\) | 0.274844 | + | 0.107722i | 0.0144856 | + | 0.00567745i | ||||
\(361\) | −20.9111 | − | 24.1327i | −1.10058 | − | 1.27014i | ||||
\(362\) | −1.49423 | − | 0.193140i | −0.0785350 | − | 0.0101512i | ||||
\(363\) | 3.90582 | − | 0.303104i | 0.205002 | − | 0.0159089i | ||||
\(364\) | 4.81242 | − | 0.137238i | 0.252239 | − | 0.00719320i | ||||
\(365\) | 0.00829164 | − | 0.0576696i | 0.000434004 | − | 0.00301857i | ||||
\(366\) | 3.48973 | − | 17.7718i | 0.182411 | − | 0.928946i | ||||
\(367\) | − | 0.174760i | − | 0.00912240i | −0.999990 | − | 0.00456120i | \(-0.998548\pi\) | ||
0.999990 | − | 0.00456120i | \(-0.00145188\pi\) | |||||||
\(368\) | −10.6164 | + | 15.9779i | −0.553418 | + | 0.832903i | ||||
\(369\) | 6.91144 | − | 15.6316i | 0.359795 | − | 0.813749i | ||||
\(370\) | −0.00103601 | − | 0.0726727i | −5.38595e−5 | − | 0.00377808i | ||||
\(371\) | 3.67805 | + | 0.528824i | 0.190955 | + | 0.0274552i | ||||
\(372\) | −2.31098 | + | 12.7257i | −0.119819 | + | 0.659798i | ||||
\(373\) | 5.67303 | + | 19.3206i | 0.293738 | + | 1.00038i | 0.965671 | + | 0.259769i | \(0.0836463\pi\) |
−0.671933 | + | 0.740612i | \(0.734536\pi\) | |||||||
\(374\) | −2.36280 | + | 18.2798i | −0.122178 | + | 0.945226i | ||||
\(375\) | −0.291942 | − | 0.527048i | −0.0150758 | − | 0.0272166i | ||||
\(376\) | −27.4832 | + | 1.17602i | −1.41734 | + | 0.0606488i | ||||
\(377\) | −1.56716 | + | 5.33726i | −0.0807129 | + | 0.274883i | ||||
\(378\) | −0.982135 | + | 2.91866i | −0.0505156 | + | 0.150120i | ||||
\(379\) | −6.25506 | − | 4.01988i | −0.321301 | − | 0.206488i | 0.370041 | − | 0.929015i | \(-0.379344\pi\) |
−0.691342 | + | 0.722528i | \(0.742980\pi\) | |||||||
\(380\) | 0.0566290 | − | 0.493326i | 0.00290501 | − | 0.0253071i | ||||
\(381\) | −7.12736 | − | 9.40197i | −0.365146 | − | 0.481678i | ||||
\(382\) | 16.6837 | + | 18.7084i | 0.853614 | + | 0.957206i | ||||
\(383\) | −2.44359 | − | 16.9955i | −0.124861 | − | 0.868430i | −0.951927 | − | 0.306325i | \(-0.900901\pi\) |
0.827066 | − | 0.562105i | \(-0.190008\pi\) | |||||||
\(384\) | 4.87026 | − | 18.9811i | 0.248535 | − | 0.968623i | ||||
\(385\) | −0.0220553 | − | 0.0482945i | −0.00112404 | − | 0.00246131i | ||||
\(386\) | −7.24227 | − | 2.01484i | −0.368622 | − | 0.102553i | ||||
\(387\) | −5.86347 | + | 5.20623i | −0.298057 | + | 0.264648i | ||||
\(388\) | −13.9891 | + | 4.54457i | −0.710191 | + | 0.230716i | ||||
\(389\) | 1.08484 | − | 0.697186i | 0.0550037 | − | 0.0353487i | −0.512850 | − | 0.858478i | \(-0.671410\pi\) |
0.567854 | + | 0.823130i | \(0.307774\pi\) | |||||||
\(390\) | 0.339033 | − | 0.353088i | 0.0171676 | − | 0.0178793i | ||||
\(391\) | −3.66327 | + | 16.7685i | −0.185260 | + | 0.848017i | ||||
\(392\) | 1.92769 | − | 19.2058i | 0.0973629 | − | 0.970038i | ||||
\(393\) | 5.08083 | + | 13.3746i | 0.256294 | + | 0.674661i | ||||
\(394\) | −9.49867 | + | 11.2831i | −0.478536 | + | 0.568434i | ||||
\(395\) | −0.481323 | − | 0.219813i | −0.0242180 | − | 0.0110600i | ||||
\(396\) | −20.6978 | + | 7.00187i | −1.04010 | + | 0.351857i | ||||
\(397\) | −21.7927 | + | 9.95238i | −1.09374 | + | 0.499496i | −0.878829 | − | 0.477137i | \(-0.841675\pi\) |
−0.214914 | + | 0.976633i | \(0.568947\pi\) | |||||||
\(398\) | 28.5887 | − | 4.52727i | 1.43302 | − | 0.226931i | ||||
\(399\) | 5.16902 | + | 0.338285i | 0.258775 | + | 0.0169355i | ||||
\(400\) | −16.1776 | + | 11.7512i | −0.808880 | + | 0.587562i | ||||
\(401\) | 7.03602 | + | 6.09675i | 0.351362 | + | 0.304457i | 0.812603 | − | 0.582818i | \(-0.198050\pi\) |
−0.461240 | + | 0.887275i | \(0.652595\pi\) | |||||||
\(402\) | −2.49282 | − | 10.4347i | −0.124331 | − | 0.520435i | ||||
\(403\) | 18.0424 | + | 11.5952i | 0.898757 | + | 0.577596i | ||||
\(404\) | −17.3407 | − | 4.55901i | −0.862734 | − | 0.226819i | ||||
\(405\) | 0.136921 | + | 0.281583i | 0.00680367 | + | 0.0139920i | ||||
\(406\) | −0.525389 | − | 0.230944i | −0.0260746 | − | 0.0114615i | ||||
\(407\) | 3.52290 | + | 4.06564i | 0.174624 | + | 0.201526i | ||||
\(408\) | −2.10262 | − | 17.4066i | −0.104095 | − | 0.861753i | ||||
\(409\) | −8.06772 | + | 2.36890i | −0.398923 | + | 0.117134i | −0.475039 | − | 0.879965i | \(-0.657566\pi\) |
0.0761163 | + | 0.997099i | \(0.475748\pi\) | |||||||
\(410\) | −0.154887 | − | 0.233619i | −0.00764932 | − | 0.0115376i | ||||
\(411\) | 25.7793 | + | 9.43797i | 1.27160 | + | 0.465541i | ||||
\(412\) | 6.39900 | − | 10.6103i | 0.315256 | − | 0.522734i | ||||
\(413\) | −0.522083 | −0.0256900 | ||||||||
\(414\) | −19.7654 | + | 4.82996i | −0.971417 | + | 0.237379i | ||||
\(415\) | 0.279584i | 0.0137242i | ||||||||
\(416\) | −26.0105 | − | 19.4763i | −1.27527 | − | 0.954904i | ||||
\(417\) | 2.65608 | − | 7.25494i | 0.130069 | − | 0.355276i | ||||
\(418\) | 20.3098 | + | 30.6336i | 0.993384 | + | 1.49834i | ||||
\(419\) | 1.70978 | + | 5.82298i | 0.0835283 | + | 0.284471i | 0.990656 | − | 0.136384i | \(-0.0435481\pi\) |
−0.907128 | + | 0.420855i | \(0.861730\pi\) | |||||||
\(420\) | 0.0316444 | + | 0.0393602i | 0.00154409 | + | 0.00192058i | ||||
\(421\) | −0.583870 | + | 0.505926i | −0.0284561 | + | 0.0246573i | −0.668973 | − | 0.743287i | \(-0.733266\pi\) |
0.640517 | + | 0.767944i | \(0.278720\pi\) | |||||||
\(422\) | −4.16805 | + | 9.48216i | −0.202897 | + | 0.461584i | ||||
\(423\) | −22.2800 | − | 18.8388i | −1.08329 | − | 0.915973i | ||||
\(424\) | −17.2192 | − | 18.2347i | −0.836237 | − | 0.885554i | ||||
\(425\) | −9.67223 | + | 15.0503i | −0.469172 | + | 0.730046i | ||||
\(426\) | 8.33493 | + | 34.8891i | 0.403829 | + | 1.69038i | ||||
\(427\) | 2.02908 | − | 2.34168i | 0.0981941 | − | 0.113322i | ||||
\(428\) | 19.3229 | − | 3.34295i | 0.934006 | − | 0.161588i | ||||
\(429\) | −2.36613 | + | 36.1546i | −0.114238 | + | 1.74556i | ||||
\(430\) | 0.0201137 | + | 0.127014i | 0.000969971 | + | 0.00612515i | ||||
\(431\) | 6.06538 | + | 13.2813i | 0.292159 | + | 0.639739i | 0.997616 | − | 0.0690138i | \(-0.0219852\pi\) |
−0.705456 | + | 0.708753i | \(0.749258\pi\) | |||||||
\(432\) | 17.4427 | − | 11.3027i | 0.839213 | − | 0.543804i | ||||
\(433\) | −4.38501 | + | 9.60184i | −0.210730 | + | 0.461435i | −0.985251 | − | 0.171113i | \(-0.945264\pi\) |
0.774521 | + | 0.632548i | \(0.217991\pi\) | |||||||
\(434\) | −1.42506 | + | 1.69277i | −0.0684050 | + | 0.0812556i | ||||
\(435\) | −0.0545488 | + | 0.0207223i | −0.00261541 | + | 0.000993559i | ||||
\(436\) | 28.4239 | − | 13.9733i | 1.36126 | − | 0.669202i | ||||
\(437\) | 16.3764 | + | 30.0542i | 0.783388 | + | 1.43769i | ||||
\(438\) | −2.95897 | − | 2.84120i | −0.141385 | − | 0.135758i | ||||
\(439\) | −15.5453 | − | 24.1890i | −0.741937 | − | 1.15448i | −0.982935 | − | 0.183951i | \(-0.941111\pi\) |
0.240998 | − | 0.970525i | \(-0.422525\pi\) | |||||||
\(440\) | −0.0861651 | + | 0.347828i | −0.00410776 | + | 0.0165820i | ||||
\(441\) | 15.3093 | − | 13.5932i | 0.729013 | − | 0.647297i | ||||
\(442\) | −28.0098 | − | 7.79250i | −1.33229 | − | 0.370651i | ||||
\(443\) | 7.81667 | − | 3.56976i | 0.371381 | − | 0.169604i | −0.220977 | − | 0.975279i | \(-0.570924\pi\) |
0.592358 | + | 0.805675i | \(0.298197\pi\) | |||||||
\(444\) | −4.20012 | − | 2.92331i | −0.199329 | − | 0.138734i | ||||
\(445\) | 0.594003 | − | 0.0854047i | 0.0281584 | − | 0.00404857i | ||||
\(446\) | 8.47822 | − | 7.56068i | 0.401455 | − | 0.358008i | ||||
\(447\) | 18.2901 | − | 13.8652i | 0.865093 | − | 0.655802i | ||||
\(448\) | 2.33685 | − | 2.40384i | 0.110406 | − | 0.113571i | ||||
\(449\) | 3.65768 | − | 5.69146i | 0.172617 | − | 0.268597i | −0.744156 | − | 0.668006i | \(-0.767148\pi\) |
0.916773 | + | 0.399409i | \(0.130785\pi\) | |||||||
\(450\) | −21.0644 | − | 2.46407i | −0.992987 | − | 0.116157i | ||||
\(451\) | 19.9067 | + | 5.84513i | 0.937370 | + | 0.275237i | ||||
\(452\) | −14.7417 | − | 21.5614i | −0.693392 | − | 1.01416i | ||||
\(453\) | −6.94468 | + | 3.84679i | −0.326290 | + | 0.180738i | ||||
\(454\) | −4.34076 | − | 0.561077i | −0.203722 | − | 0.0263326i | ||||
\(455\) | 0.0803530 | − | 0.0235938i | 0.00376701 | − | 0.00110609i | ||||
\(456\) | −25.8990 | − | 23.4864i | −1.21283 | − | 1.09985i | ||||
\(457\) | 2.56275 | − | 17.8243i | 0.119881 | − | 0.833787i | −0.837805 | − | 0.545970i | \(-0.816161\pi\) |
0.957685 | − | 0.287817i | \(-0.0929296\pi\) | |||||||
\(458\) | −0.254191 | − | 17.8307i | −0.0118776 | − | 0.833174i | ||||
\(459\) | 10.8726 | − | 15.0871i | 0.507490 | − | 0.704207i | ||||
\(460\) | −0.107932 | + | 0.315754i | −0.00503237 | + | 0.0147221i | ||||
\(461\) | −19.5237 | −0.909309 | −0.454654 | − | 0.890668i | \(-0.650237\pi\) | ||||
−0.454654 | + | 0.890668i | \(0.650237\pi\) | |||||||
\(462\) | −3.66810 | − | 0.720281i | −0.170655 | − | 0.0335105i | ||||
\(463\) | 5.73935 | + | 0.825193i | 0.266730 | + | 0.0383500i | 0.274382 | − | 0.961621i | \(-0.411527\pi\) |
−0.00765212 | + | 0.999971i | \(0.502436\pi\) | |||||||
\(464\) | 1.80730 | + | 3.42605i | 0.0839019 | + | 0.159051i | ||||
\(465\) | 0.0174071 | + | 0.224308i | 0.000807233 | + | 0.0104020i | ||||
\(466\) | 13.8974 | + | 1.79634i | 0.643782 | + | 0.0832137i | ||||
\(467\) | 5.74534 | − | 4.97836i | 0.265863 | − | 0.230371i | −0.511720 | − | 0.859152i | \(-0.670991\pi\) |
0.777582 | + | 0.628781i | \(0.216446\pi\) | |||||||
\(468\) | −6.28575 | − | 33.8872i | −0.290559 | − | 1.56644i | ||||
\(469\) | 0.517098 | − | 1.76107i | 0.0238773 | − | 0.0813188i | ||||
\(470\) | −0.457153 | + | 0.141341i | −0.0210869 | + | 0.00651957i | ||||
\(471\) | 18.1945 | − | 18.4160i | 0.838360 | − | 0.848563i | ||||
\(472\) | 2.75929 | + | 2.19161i | 0.127007 | + | 0.100877i | ||||
\(473\) | −7.19355 | − | 6.23324i | −0.330760 | − | 0.286605i | ||||
\(474\) | −32.3295 | + | 18.5150i | −1.48494 | + | 0.850423i | ||||
\(475\) | 5.07704 | + | 35.3116i | 0.232951 | + | 1.62021i | ||||
\(476\) | 1.16779 | − | 2.76294i | 0.0535256 | − | 0.126639i | ||||
\(477\) | −0.321772 | − | 26.5993i | −0.0147329 | − | 1.21790i | ||||
\(478\) | −41.7237 | − | 11.6078i | −1.90840 | − | 0.530927i | ||||
\(479\) | −16.9402 | + | 37.0939i | −0.774018 | + | 1.69486i | −0.0564190 | + | 0.998407i | \(0.517968\pi\) |
−0.717599 | + | 0.696456i | \(0.754759\pi\) | |||||||
\(480\) | −0.00201879 | − | 0.340862i | −9.21446e−5 | − | 0.0155582i | ||||
\(481\) | −7.13850 | + | 4.58764i | −0.325488 | + | 0.209178i | ||||
\(482\) | 27.4181 | + | 17.0732i | 1.24886 | + | 0.777665i | ||||
\(483\) | −3.34502 | − | 0.963448i | −0.152204 | − | 0.0438384i | ||||
\(484\) | −1.99571 | − | 4.05958i | −0.0907141 | − | 0.184527i | ||||
\(485\) | −0.215241 | + | 0.138327i | −0.00977360 | + | 0.00628111i | ||||
\(486\) | 21.7287 | + | 3.72326i | 0.985635 | + | 0.168890i | ||||
\(487\) | −31.0203 | − | 14.1665i | −1.40567 | − | 0.641946i | −0.439117 | − | 0.898430i | \(-0.644709\pi\) |
−0.966548 | + | 0.256484i | \(0.917436\pi\) | |||||||
\(488\) | −20.5539 | + | 3.85846i | −0.930433 | + | 0.174664i | ||||
\(489\) | 0.773573 | + | 3.45531i | 0.0349822 | + | 0.156255i | ||||
\(490\) | −0.0525161 | − | 0.331628i | −0.00237244 | − | 0.0149814i | ||||
\(491\) | 18.0951 | − | 2.60168i | 0.816618 | − | 0.117412i | 0.278667 | − | 0.960388i | \(-0.410107\pi\) |
0.537952 | + | 0.842976i | \(0.319198\pi\) | |||||||
\(492\) | −19.7220 | − | 0.726928i | −0.889138 | − | 0.0327724i | ||||
\(493\) | 2.61925 | + | 2.26959i | 0.117965 | + | 0.102217i | ||||
\(494\) | −52.3873 | + | 24.8330i | −2.35702 | + | 1.11729i | ||||
\(495\) | −0.317233 | + | 0.209339i | −0.0142586 | + | 0.00940907i | ||||
\(496\) | 14.6376 | − | 2.96443i | 0.657247 | − | 0.133107i | ||||
\(497\) | −1.72895 | + | 5.88827i | −0.0775542 | + | 0.264125i | ||||
\(498\) | 15.9950 | + | 11.4745i | 0.716752 | + | 0.514183i | ||||
\(499\) | −17.3231 | − | 19.9919i | −0.775489 | − | 0.894962i | 0.221286 | − | 0.975209i | \(-0.428975\pi\) |
−0.996775 | + | 0.0802467i | \(0.974429\pi\) | |||||||
\(500\) | −0.440420 | + | 0.538556i | −0.0196962 | + | 0.0240849i | ||||
\(501\) | −2.46580 | + | 0.191354i | −0.110164 | + | 0.00854908i | ||||
\(502\) | 3.79745 | + | 5.72776i | 0.169489 | + | 0.255642i | ||||
\(503\) | −0.675361 | + | 4.69724i | −0.0301128 | + | 0.209439i | −0.999323 | − | 0.0367964i | \(-0.988285\pi\) |
0.969210 | + | 0.246236i | \(0.0791938\pi\) | |||||||
\(504\) | 3.55052 | − | 0.194980i | 0.158153 | − | 0.00868512i | ||||
\(505\) | −0.311890 | −0.0138789 | ||||||||
\(506\) | −8.94009 | − | 23.0243i | −0.397435 | − | 1.02355i | ||||
\(507\) | −33.8864 | − | 7.15716i | −1.50495 | − | 0.317861i | ||||
\(508\) | −7.03564 | + | 11.6660i | −0.312156 | + | 0.517594i | ||||
\(509\) | 2.62510 | − | 18.2580i | 0.116356 | − | 0.809270i | −0.845159 | − | 0.534515i | \(-0.820494\pi\) |
0.961514 | − | 0.274755i | \(-0.0885967\pi\) | |||||||
\(510\) | −0.112361 | − | 0.283533i | −0.00497542 | − | 0.0125551i | ||||
\(511\) | −0.197723 | − | 0.673381i | −0.00874673 | − | 0.0297886i | ||||
\(512\) | −22.4415 | + | 2.89499i | −0.991782 | + | 0.127942i | ||||
\(513\) | −3.31616 | − | 36.9347i | −0.146412 | − | 1.63071i | ||||
\(514\) | −30.8665 | − | 13.5679i | −1.36146 | − | 0.598454i | ||||
\(515\) | 0.0607225 | − | 0.206802i | 0.00267575 | − | 0.00911277i | ||||
\(516\) | 8.09194 | + | 4.06210i | 0.356228 | + | 0.178824i | ||||
\(517\) | 19.1483 | − | 29.7953i | 0.842141 | − | 1.31040i | ||||
\(518\) | −0.375001 | − | 0.791096i | −0.0164766 | − | 0.0347588i | ||||
\(519\) | −15.4093 | + | 11.6813i | −0.676393 | + | 0.512754i | ||||
\(520\) | −0.523720 | − | 0.212610i | −0.0229667 | − | 0.00932357i | ||||
\(521\) | 31.7686 | − | 4.56763i | 1.39181 | − | 0.200112i | 0.594699 | − | 0.803948i | \(-0.297271\pi\) |
0.797108 | + | 0.603837i | \(0.206362\pi\) | |||||||
\(522\) | −1.05323 | + | 3.97120i | −0.0460985 | + | 0.173815i | ||||
\(523\) | 1.26286 | + | 2.76527i | 0.0552209 | + | 0.120917i | 0.935231 | − | 0.354038i | \(-0.115192\pi\) |
−0.880010 | + | 0.474955i | \(0.842464\pi\) | |||||||
\(524\) | 12.1719 | − | 11.1701i | 0.531732 | − | 0.487970i | ||||
\(525\) | −2.91771 | − | 2.15676i | −0.127339 | − | 0.0941288i | ||||
\(526\) | 9.02591 | − | 10.7215i | 0.393548 | − | 0.467480i | ||||
\(527\) | 11.2413 | − | 7.22436i | 0.489680 | − | 0.314698i | ||||
\(528\) | 16.3629 | + | 19.2048i | 0.712102 | + | 0.835781i | ||||
\(529\) | −6.44084 | − | 22.0798i | −0.280037 | − | 0.959989i | ||||
\(530\) | −0.370332 | − | 0.230606i | −0.0160862 | − | 0.0100169i | ||||
\(531\) | 0.576612 | + | 3.69275i | 0.0250228 | + | 0.160252i | ||||
\(532\) | −1.84808 | − | 5.68878i | −0.0801244 | − | 0.246640i | ||||
\(533\) | −13.5947 | + | 29.7682i | −0.588850 | + | 1.28940i | ||||
\(534\) | 19.4926 | − | 37.4879i | 0.843527 | − | 1.62226i | ||||
\(535\) | 0.310286 | − | 0.141703i | 0.0134148 | − | 0.00612635i | ||||
\(536\) | −10.1256 | + | 7.13686i | −0.437359 | + | 0.308265i | ||||
\(537\) | 33.7268 | + | 2.20725i | 1.45542 | + | 0.0952497i | ||||
\(538\) | −8.23028 | − | 9.22909i | −0.354833 | − | 0.397894i | ||||
\(539\) | 18.7820 | + | 16.2747i | 0.809000 | + | 0.701002i | ||||
\(540\) | 0.243450 | − | 0.267296i | 0.0104764 | − | 0.0115026i | ||||
\(541\) | 0.588608 | − | 0.915892i | 0.0253062 | − | 0.0393773i | −0.828370 | − | 0.560181i | \(-0.810731\pi\) |
0.853676 | + | 0.520804i | \(0.174368\pi\) | |||||||
\(542\) | 6.17237 | + | 19.9639i | 0.265126 | + | 0.857523i | ||||
\(543\) | −0.874534 | + | 1.62488i | −0.0375299 | + | 0.0697302i | ||||
\(544\) | −17.7702 | + | 9.70039i | −0.761893 | + | 0.415901i | ||||
\(545\) | 0.416377 | − | 0.360793i | 0.0178356 | − | 0.0154547i | ||||
\(546\) | 1.94799 | − | 5.56531i | 0.0833663 | − | 0.238173i | ||||
\(547\) | −11.6159 | + | 3.41074i | −0.496660 | + | 0.145833i | −0.520463 | − | 0.853884i | \(-0.674241\pi\) |
0.0238032 | + | 0.999717i | \(0.492422\pi\) | |||||||
\(548\) | −0.903622 | − | 31.6867i | −0.0386008 | − | 1.35359i | ||||
\(549\) | −18.8040 | − | 11.7657i | −0.802535 | − | 0.502146i | ||||
\(550\) | −0.366968 | − | 25.7417i | −0.0156476 | − | 1.09763i | ||||
\(551\) | 6.91102 | 0.294419 | ||||||||
\(552\) | 13.6346 | + | 19.1337i | 0.580325 | + | 0.814385i | ||||
\(553\) | −6.37381 | −0.271042 | ||||||||
\(554\) | −0.517173 | − | 36.2781i | −0.0219726 | − | 1.54131i | ||||
\(555\) | −0.0835888 | − | 0.0306024i | −0.00354815 | − | 0.00129900i | ||||
\(556\) | −8.91743 | + | 0.254302i | −0.378183 | + | 0.0107848i | ||||
\(557\) | −17.6060 | + | 5.16959i | −0.745990 | + | 0.219042i | −0.632568 | − | 0.774505i | \(-0.717999\pi\) |
−0.113422 | + | 0.993547i | \(0.536181\pi\) | |||||||
\(558\) | 13.5471 | + | 8.21003i | 0.573493 | + | 0.347558i | ||||
\(559\) | 11.3468 | − | 9.83202i | 0.479917 | − | 0.415850i | ||||
\(560\) | 0.0286812 | − | 0.0507758i | 0.00121200 | − | 0.00214567i | ||||
\(561\) | 19.8781 | + | 10.6987i | 0.839254 | + | 0.451699i | ||||
\(562\) | −6.10677 | − | 19.7517i | −0.257599 | − | 0.833177i | ||||
\(563\) | −18.9215 | + | 29.4424i | −0.797446 | + | 1.24085i | 0.169415 | + | 0.985545i | \(0.445812\pi\) |
−0.966861 | + | 0.255305i | \(0.917824\pi\) | |||||||
\(564\) | −10.6760 | + | 31.9545i | −0.449542 | + | 1.34553i | ||||
\(565\) | −0.343367 | − | 0.297529i | −0.0144456 | − | 0.0125171i | ||||
\(566\) | −12.4524 | − | 13.9636i | −0.523413 | − | 0.586933i | ||||
\(567\) | 2.90927 | + | 2.40018i | 0.122178 | + | 0.100798i | ||||
\(568\) | 33.8556 | − | 23.8626i | 1.42055 | − | 1.00125i | ||||
\(569\) | −4.25076 | + | 1.94126i | −0.178201 | + | 0.0813818i | −0.502518 | − | 0.864567i | \(-0.667593\pi\) |
0.324317 | + | 0.945949i | \(0.394866\pi\) | |||||||
\(570\) | −0.539582 | − | 0.280566i | −0.0226006 | − | 0.0117516i | ||||
\(571\) | 2.75263 | − | 6.02743i | 0.115194 | − | 0.252240i | −0.843249 | − | 0.537523i | \(-0.819360\pi\) |
0.958443 | + | 0.285283i | \(0.0920875\pi\) | |||||||
\(572\) | 39.7901 | − | 12.9264i | 1.66371 | − | 0.540479i | ||||
\(573\) | 28.6995 | − | 10.9025i | 1.19894 | − | 0.455460i | ||||
\(574\) | −2.86612 | − | 1.78473i | −0.119629 | − | 0.0744933i | ||||
\(575\) | 1.73137 | − | 23.9108i | 0.0722030 | − | 0.997147i | ||||
\(576\) | −19.5835 | − | 13.8739i | −0.815981 | − | 0.578079i | ||||
\(577\) | 20.9780 | − | 13.4817i | 0.873325 | − | 0.561252i | −0.0254430 | − | 0.999676i | \(-0.508100\pi\) |
0.898768 | + | 0.438424i | \(0.144463\pi\) | |||||||
\(578\) | 3.81734 | − | 4.53447i | 0.158781 | − | 0.188609i | ||||
\(579\) | −5.47275 | + | 7.40366i | −0.227440 | + | 0.307685i | ||||
\(580\) | 0.0455578 | + | 0.0496435i | 0.00189168 | + | 0.00206133i | ||||
\(581\) | 1.39902 | + | 3.06342i | 0.0580411 | + | 0.127092i | ||||
\(582\) | −0.920085 | + | 17.9910i | −0.0381388 | + | 0.745752i | ||||
\(583\) | 31.9624 | − | 4.59550i | 1.32375 | − | 0.190326i | ||||
\(584\) | −1.78173 | + | 4.38892i | −0.0737286 | + | 0.181615i | ||||
\(585\) | −0.255627 | − | 0.542288i | −0.0105689 | − | 0.0224209i | ||||
\(586\) | 10.3708 | + | 21.8781i | 0.428414 | + | 0.903775i | ||||
\(587\) | −11.6851 | + | 18.1823i | −0.482294 | + | 0.750464i | −0.994080 | − | 0.108649i | \(-0.965348\pi\) |
0.511786 | + | 0.859113i | \(0.328984\pi\) | |||||||
\(588\) | −21.1277 | − | 10.6060i | −0.871292 | − | 0.437383i | ||||
\(589\) | 7.50707 | − | 25.5667i | 0.309324 | − | 1.05346i | ||||
\(590\) | 0.0561133 | + | 0.0246656i | 0.00231015 | + | 0.00101546i | ||||
\(591\) | 8.75277 | + | 15.8015i | 0.360041 | + | 0.649988i | ||||
\(592\) | −1.33894 | + | 5.75525i | −0.0550299 | + | 0.236539i | ||||
\(593\) | 0.229852 | + | 0.782805i | 0.00943891 | + | 0.0321460i | 0.964078 | − | 0.265620i | \(-0.0855767\pi\) |
−0.954639 | + | 0.297766i | \(0.903758\pi\) | |||||||
\(594\) | −1.04342 | + | 26.7404i | −0.0428119 | + | 1.09717i | ||||
\(595\) | 0.00742563 | − | 0.0516464i | 0.000304421 | − | 0.00211730i | ||||
\(596\) | −22.6944 | − | 13.6868i | −0.929599 | − | 0.560633i | ||||
\(597\) | 7.32583 | − | 34.6850i | 0.299826 | − | 1.41956i | ||||
\(598\) | 37.9546 | − | 8.78963i | 1.55208 | − | 0.359435i | ||||
\(599\) | −11.4359 | −0.467259 | −0.233629 | − | 0.972326i | \(-0.575060\pi\) | ||||
−0.233629 | + | 0.972326i | \(0.575060\pi\) | |||||||
\(600\) | 6.36689 | + | 23.6468i | 0.259927 | + | 0.965377i | ||||
\(601\) | 2.82643 | − | 19.6583i | 0.115293 | − | 0.801878i | −0.847337 | − | 0.531056i | \(-0.821795\pi\) |
0.962629 | − | 0.270822i | \(-0.0872955\pi\) | |||||||
\(602\) | 0.855956 | + | 1.29105i | 0.0348862 | + | 0.0526194i | ||||
\(603\) | −13.0274 | − | 1.71248i | −0.530516 | − | 0.0697377i | ||||
\(604\) | 7.09632 | + | 5.80323i | 0.288745 | + | 0.236130i | ||||
\(605\) | −0.0515294 | − | 0.0594681i | −0.00209497 | − | 0.00241772i | ||||
\(606\) | −12.8003 | + | 17.8432i | −0.519979 | + | 0.724830i | ||||
\(607\) | 1.12466 | − | 3.83023i | 0.0456484 | − | 0.155464i | −0.933515 | − | 0.358539i | \(-0.883275\pi\) |
0.979163 | + | 0.203074i | \(0.0650933\pi\) | |||||||
\(608\) | −14.1130 | + | 37.8239i | −0.572358 | + | 1.53396i | ||||
\(609\) | −0.494002 | + | 0.500014i | −0.0200180 | + | 0.0202616i | ||||
\(610\) | −0.328716 | + | 0.155820i | −0.0133093 | + | 0.00630898i | ||||
\(611\) | 42.2210 | + | 36.5847i | 1.70808 | + | 1.48006i | ||||
\(612\) | −20.8323 | − | 5.20841i | −0.842098 | − | 0.210537i | ||||
\(613\) | −18.8502 | + | 2.71026i | −0.761354 | + | 0.109466i | −0.512046 | − | 0.858958i | \(-0.671112\pi\) |
−0.249308 | + | 0.968424i | \(0.580203\pi\) | |||||||
\(614\) | −5.74977 | − | 36.3085i | −0.232042 | − | 1.46529i | ||||
\(615\) | −0.335002 | + | 0.0750001i | −0.0135086 | + | 0.00302430i | ||||
\(616\) | 0.796388 | + | 4.24234i | 0.0320874 | + | 0.170929i | ||||
\(617\) | −34.3637 | − | 15.6934i | −1.38343 | − | 0.631792i | −0.421940 | − | 0.906624i | \(-0.638651\pi\) |
−0.961492 | + | 0.274831i | \(0.911378\pi\) | |||||||
\(618\) | −9.33898 | − | 11.9613i | −0.375669 | − | 0.481155i | ||||
\(619\) | −2.30721 | + | 1.48275i | −0.0927346 | + | 0.0595969i | −0.586186 | − | 0.810176i | \(-0.699371\pi\) |
0.493452 | + | 0.869773i | \(0.335735\pi\) | |||||||
\(620\) | 0.233139 | − | 0.114612i | 0.00936308 | − | 0.00460293i | ||||
\(621\) | −3.12020 | + | 24.7238i | −0.125209 | + | 0.992130i | ||||
\(622\) | 22.6762 | + | 14.1205i | 0.909232 | + | 0.566179i | ||||
\(623\) | 6.08117 | − | 3.90813i | 0.243637 | − | 0.156576i | ||||
\(624\) | −33.6575 | + | 21.2362i | −1.34738 | + | 0.850129i | ||||
\(625\) | 10.3778 | − | 22.7243i | 0.415113 | − | 0.908971i | ||||
\(626\) | 19.9057 | + | 5.53789i | 0.795593 | + | 0.221339i | ||||
\(627\) | 43.9276 | − | 9.83450i | 1.75430 | − | 0.392752i | ||||
\(628\) | −27.5345 | − | 11.6378i | −1.09875 | − | 0.464399i | ||||
\(629\) | 0.752407 | + | 5.23311i | 0.0300004 | + | 0.208658i | ||||
\(630\) | 0.0588686 | − | 0.0189839i | 0.00234538 | − | 0.000756337i | ||||
\(631\) | 20.1946 | + | 17.4987i | 0.803934 | + | 0.696613i | 0.956517 | − | 0.291678i | \(-0.0942136\pi\) |
−0.152583 | + | 0.988291i | \(0.548759\pi\) | |||||||
\(632\) | 33.6866 | + | 26.7561i | 1.33998 | + | 1.06430i | ||||
\(633\) | 9.02420 | + | 8.91570i | 0.358680 | + | 0.354367i | ||||
\(634\) | 20.7122 | − | 6.40374i | 0.822588 | − | 0.254325i | ||||
\(635\) | −0.0667638 | + | 0.227377i | −0.00264944 | + | 0.00902317i | ||||
\(636\) | −28.3918 | + | 11.7223i | −1.12581 | + | 0.464819i | ||||
\(637\) | −29.6259 | + | 25.6710i | −1.17382 | + | 1.01712i | ||||
\(638\) | −4.94612 | − | 0.639323i | −0.195819 | − | 0.0253111i | ||||
\(639\) | 43.5580 | + | 5.72581i | 1.72313 | + | 0.226510i | ||||
\(640\) | −0.364732 | + | 0.147960i | −0.0144173 | + | 0.00584863i | ||||
\(641\) | 30.9646 | + | 4.45204i | 1.22303 | + | 0.175845i | 0.723421 | − | 0.690407i | \(-0.242568\pi\) |
0.499608 | + | 0.866252i | \(0.333478\pi\) | |||||||
\(642\) | 4.62771 | − | 23.5671i | 0.182641 | − | 0.930118i | ||||
\(643\) | −17.8357 | −0.703370 | −0.351685 | − | 0.936118i | \(-0.614391\pi\) | ||||
−0.351685 | + | 0.936118i | \(0.614391\pi\) | |||||||
\(644\) | 0.397386 | + | 3.99982i | 0.0156592 | + | 0.157615i | ||||
\(645\) | 0.154098 | + | 0.0325472i | 0.00606762 | + | 0.00128154i | ||||
\(646\) | 0.514886 | + | 36.1177i | 0.0202579 | + | 1.42103i | ||||
\(647\) | −2.74415 | + | 19.0860i | −0.107884 | + | 0.750347i | 0.862023 | + | 0.506869i | \(0.169197\pi\) |
−0.969906 | + | 0.243478i | \(0.921712\pi\) | |||||||
\(648\) | −5.30047 | − | 24.8979i | −0.208222 | − | 0.978082i | ||||
\(649\) | −4.35315 | + | 1.27820i | −0.170876 | + | 0.0501737i | ||||
\(650\) | 40.2728 | + | 5.20557i | 1.57963 | + | 0.204179i | ||||
\(651\) | 1.31315 | + | 2.37066i | 0.0514665 | + | 0.0929134i | ||||
\(652\) | 3.37515 | − | 2.30762i | 0.132181 | − | 0.0903735i | ||||
\(653\) | −13.3487 | − | 3.91954i | −0.522376 | − | 0.153383i | 0.00990550 | − | 0.999951i | \(-0.496847\pi\) |
−0.532281 | + | 0.846568i | \(0.678665\pi\) | |||||||
\(654\) | −3.55229 | − | 38.6283i | −0.138905 | − | 1.51049i | ||||
\(655\) | 0.155365 | − | 0.241753i | 0.00607061 | − | 0.00944606i | ||||
\(656\) | 7.65591 | + | 21.4640i | 0.298913 | + | 0.838029i | ||||
\(657\) | −4.54453 | + | 2.14223i | −0.177299 | + | 0.0835762i | ||||
\(658\) | −4.30180 | + | 3.83624i | −0.167702 | + | 0.149552i | ||||
\(659\) | −40.8995 | + | 5.88046i | −1.59322 | + | 0.229070i | −0.881079 | − | 0.472969i | \(-0.843182\pi\) |
−0.712139 | + | 0.702039i | \(0.752273\pi\) | |||||||
\(660\) | 0.360216 | + | 0.250713i | 0.0140214 | + | 0.00975899i | ||||
\(661\) | 14.0232 | − | 6.40416i | 0.545438 | − | 0.249093i | −0.123586 | − | 0.992334i | \(-0.539440\pi\) |
0.669024 | + | 0.743241i | \(0.266712\pi\) | |||||||
\(662\) | −41.9787 | − | 11.6787i | −1.63155 | − | 0.453907i | ||||
\(663\) | −21.1661 | + | 28.6340i | −0.822023 | + | 1.11205i | ||||
\(664\) | 5.46564 | − | 22.0635i | 0.212108 | − | 0.856229i | ||||
\(665\) | −0.0562516 | − | 0.0875292i | −0.00218134 | − | 0.00339424i | ||||
\(666\) | −5.18135 | + | 3.52615i | −0.200773 | + | 0.136635i | ||||
\(667\) | −4.53718 | − | 0.991203i | −0.175680 | − | 0.0383795i | ||||
\(668\) | 1.25992 | + | 2.56287i | 0.0487478 | + | 0.0991606i | ||||
\(669\) | −4.94078 | − | 13.0060i | −0.191022 | − | 0.502839i | ||||
\(670\) | −0.138778 | + | 0.164849i | −0.00536148 | + | 0.00636869i | ||||
\(671\) | 11.1855 | − | 24.4928i | 0.431810 | − | 0.945533i | ||||
\(672\) | −1.72777 | − | 3.72475i | −0.0666502 | − | 0.143685i | ||||
\(673\) | 4.16668 | + | 9.12375i | 0.160614 | + | 0.351695i | 0.972780 | − | 0.231731i | \(-0.0744391\pi\) |
−0.812166 | + | 0.583426i | \(0.801712\pi\) | |||||||
\(674\) | 0.739841 | + | 4.67193i | 0.0284976 | + | 0.179956i | ||||
\(675\) | −12.0326 | + | 23.0194i | −0.463134 | + | 0.886015i | ||||
\(676\) | 6.81752 | + | 39.4065i | 0.262212 | + | 1.51563i | ||||
\(677\) | 4.72384 | − | 5.45160i | 0.181552 | − | 0.209522i | −0.657678 | − | 0.753300i | \(-0.728461\pi\) |
0.839229 | + | 0.543778i | \(0.183007\pi\) | |||||||
\(678\) | −31.1138 | + | 7.43302i | −1.19492 | + | 0.285463i | ||||
\(679\) | −1.66623 | + | 2.59271i | −0.0639442 | + | 0.0994992i | ||||
\(680\) | −0.256047 | + | 0.241788i | −0.00981897 | + | 0.00927214i | ||||
\(681\) | −2.54054 | + | 4.72030i | −0.0973537 | + | 0.180882i | ||||
\(682\) | −7.73783 | + | 17.6033i | −0.296297 | + | 0.674065i | ||||
\(683\) | 17.6066 | − | 15.2562i | 0.673696 | − | 0.583761i | −0.249367 | − | 0.968409i | \(-0.580223\pi\) |
0.923063 | + | 0.384648i | \(0.125677\pi\) | |||||||
\(684\) | −38.1963 | + | 19.3546i | −1.46047 | + | 0.740042i | ||||
\(685\) | −0.155350 | − | 0.529073i | −0.00593562 | − | 0.0202149i | ||||
\(686\) | −4.52724 | − | 6.82851i | −0.172851 | − | 0.260714i | ||||
\(687\) | −20.5090 | − | 7.50850i | −0.782469 | − | 0.286467i | ||||
\(688\) | 0.895733 | − | 10.4166i | 0.0341495 | − | 0.397127i | ||||
\(689\) | 50.9345i | 1.94045i | ||||||||
\(690\) | 0.314003 | + | 0.261585i | 0.0119539 | + | 0.00995836i | ||||
\(691\) | 32.1209 | 1.22194 | 0.610968 | − | 0.791655i | \(-0.290780\pi\) | ||||
0.610968 | + | 0.791655i | \(0.290780\pi\) | |||||||
\(692\) | 19.1199 | + | 11.5310i | 0.726828 | + | 0.438343i | ||||
\(693\) | −2.42844 | + | 3.88115i | −0.0922486 | + | 0.147433i | ||||
\(694\) | 6.13396 | + | 9.25195i | 0.232842 | + | 0.351199i | ||||
\(695\) | −0.148895 | + | 0.0437194i | −0.00564789 | + | 0.00165837i | ||||
\(696\) | 4.70984 | − | 0.568925i | 0.178526 | − | 0.0215651i | ||||
\(697\) | 13.3524 | + | 15.4094i | 0.505757 | + | 0.583674i | ||||
\(698\) | 21.4896 | + | 9.44611i | 0.813392 | + | 0.357541i | ||||
\(699\) | 8.13377 | − | 15.1125i | 0.307647 | − | 0.571606i | ||||
\(700\) | −1.06528 | + | 4.05192i | −0.0402639 | + | 0.153148i | ||||
\(701\) | 2.18615 | + | 1.40495i | 0.0825696 | + | 0.0530643i | 0.581274 | − | 0.813708i | \(-0.302554\pi\) |
−0.498705 | + | 0.866772i | \(0.666191\pi\) | |||||||
\(702\) | −41.5155 | − | 7.63179i | −1.56690 | − | 0.288043i | ||||
\(703\) | 7.96753 | + | 6.90390i | 0.300501 | + | 0.260386i | ||||
\(704\) | 13.5995 | − | 25.7645i | 0.512550 | − | 0.971036i | ||||
\(705\) | −0.0382718 | + | 0.584794i | −0.00144140 | + | 0.0220246i | ||||
\(706\) | 46.2086 | − | 7.31754i | 1.73909 | − | 0.275399i | ||||
\(707\) | −3.41740 | + | 1.56068i | −0.128525 | + | 0.0586952i | ||||
\(708\) | 3.71407 | − | 2.19793i | 0.139583 | − | 0.0826032i | ||||
\(709\) | −33.6074 | − | 15.3480i | −1.26215 | − | 0.576405i | −0.331895 | − | 0.943316i | \(-0.607688\pi\) |
−0.930256 | + | 0.366911i | \(0.880415\pi\) | |||||||
\(710\) | 0.464016 | − | 0.551186i | 0.0174142 | − | 0.0206856i | ||||
\(711\) | 7.03952 | + | 45.0827i | 0.264003 | + | 1.69073i | ||||
\(712\) | −48.5455 | − | 4.87252i | −1.81932 | − | 0.182606i | ||||
\(713\) | −8.59538 | + | 15.7082i | −0.321899 | + | 0.588278i | ||||
\(714\) | −2.64993 | − | 2.54445i | −0.0991711 | − | 0.0952237i | ||||
\(715\) | 0.612222 | − | 0.393451i | 0.0228958 | − | 0.0147142i | ||||
\(716\) | −12.0584 | − | 37.1182i | −0.450642 | − | 1.38717i | ||||
\(717\) | −31.5292 | + | 42.6534i | −1.17748 | + | 1.59292i | ||||
\(718\) | 28.6956 | + | 7.98329i | 1.07091 | + | 0.297934i | ||||
\(719\) | 5.26497 | + | 11.5287i | 0.196350 | + | 0.429947i | 0.982040 | − | 0.188674i | \(-0.0604190\pi\) |
−0.785690 | + | 0.618621i | \(0.787692\pi\) | |||||||
\(720\) | −0.390820 | − | 0.146786i | −0.0145650 | − | 0.00547040i | ||||
\(721\) | −0.369481 | − | 2.56979i | −0.0137602 | − | 0.0957041i | ||||
\(722\) | 30.0562 | + | 33.7037i | 1.11858 | + | 1.25432i | ||||
\(723\) | 31.5242 | − | 23.8976i | 1.17240 | − | 0.888761i | ||||
\(724\) | 2.11684 | + | 0.242992i | 0.0786717 | + | 0.00903074i | ||||
\(725\) | −4.07228 | − | 2.61710i | −0.151241 | − | 0.0971966i | ||||
\(726\) | −5.51699 | + | 0.507347i | −0.204755 | + | 0.0188294i | ||||
\(727\) | −4.97440 | + | 16.9413i | −0.184490 | + | 0.628316i | 0.814359 | + | 0.580361i | \(0.197089\pi\) |
−0.998849 | + | 0.0479551i | \(0.984730\pi\) | |||||||
\(728\) | −6.80233 | + | 0.291076i | −0.252111 | + | 0.0107880i | ||||
\(729\) | 13.7636 | − | 23.2285i | 0.509763 | − | 0.860315i | ||||
\(730\) | −0.0105624 | + | 0.0817160i | −0.000390932 | + | 0.00302445i | ||||
\(731\) | −2.63544 | − | 8.97550i | −0.0974754 | − | 0.331971i | ||||
\(732\) | −4.57646 | + | 25.2009i | −0.169151 | + | 0.931451i | ||||
\(733\) | 38.5658 | + | 5.54493i | 1.42446 | + | 0.204807i | 0.811059 | − | 0.584965i | \(-0.198892\pi\) |
0.613402 | + | 0.789771i | \(0.289801\pi\) | |||||||
\(734\) | 0.00352293 | + | 0.247123i | 0.000130034 | + | 0.00912147i | ||||
\(735\) | −0.402344 | − | 0.0849793i | −0.0148407 | − | 0.00313451i | ||||
\(736\) | 14.6902 | − | 22.8078i | 0.541490 | − | 0.840707i | ||||
\(737\) | − | 15.9499i | − | 0.587521i | ||||||
\(738\) | −9.45815 | + | 22.2435i | −0.348159 | + | 0.818795i | ||||
\(739\) | −4.22640 | + | 29.3953i | −0.155471 | + | 1.08132i | 0.751380 | + | 0.659870i | \(0.229389\pi\) |
−0.906851 | + | 0.421452i | \(0.861520\pi\) | |||||||
\(740\) | 0.00292997 | + | 0.102743i | 0.000107708 | + | 0.00377692i | ||||
\(741\) | 5.49367 | + | 70.7918i | 0.201815 | + | 2.60060i | ||||
\(742\) | −5.21168 | − | 0.673650i | −0.191327 | − | 0.0247305i | ||||
\(743\) | −30.7178 | − | 35.4502i | −1.12693 | − | 1.30054i | −0.948567 | − | 0.316578i | \(-0.897466\pi\) |
−0.178360 | − | 0.983965i | \(-0.557079\pi\) | |||||||
\(744\) | 3.01136 | − | 18.0417i | 0.110402 | − | 0.661439i | ||||
\(745\) | −0.442327 | − | 0.129879i | −0.0162056 | − | 0.00475840i | ||||
\(746\) | −8.41154 | − | 27.2063i | −0.307968 | − | 0.996092i | ||||
\(747\) | 20.1228 | − | 13.2788i | 0.736255 | − | 0.485846i | ||||
\(748\) | 2.97267 | − | 25.8965i | 0.108692 | − | 0.946871i | ||||
\(749\) | 2.69076 | − | 3.10530i | 0.0983181 | − | 0.113465i | ||||
\(750\) | 0.423451 | + | 0.739397i | 0.0154622 | + | 0.0269990i | ||||
\(751\) | 22.0158 | − | 3.16539i | 0.803366 | − | 0.115507i | 0.271614 | − | 0.962406i | \(-0.412443\pi\) |
0.531753 | + | 0.846900i | \(0.321534\pi\) | |||||||
\(752\) | 38.8395 | − | 2.21701i | 1.41633 | − | 0.0808459i | ||||
\(753\) | 8.21344 | − | 1.83882i | 0.299314 | − | 0.0670104i | ||||
\(754\) | 2.10848 | − | 7.57885i | 0.0767864 | − | 0.276005i | ||||
\(755\) | 0.145050 | + | 0.0662420i | 0.00527890 | + | 0.00241079i | ||||
\(756\) | 1.32997 | − | 4.14699i | 0.0483706 | − | 0.150824i | ||||
\(757\) | 1.32948 | + | 2.06871i | 0.0483207 | + | 0.0751885i | 0.864573 | − | 0.502506i | \(-0.167589\pi\) |
−0.816253 | + | 0.577695i | \(0.803952\pi\) | |||||||
\(758\) | 8.92613 | + | 5.55830i | 0.324212 | + | 0.201887i | ||||
\(759\) | −30.2496 | + | 0.156231i | −1.09799 | + | 0.00567081i | ||||
\(760\) | −0.0701326 | + | 0.698739i | −0.00254398 | + | 0.0253459i | ||||
\(761\) | −10.1103 | − | 15.7319i | −0.366498 | − | 0.570282i | 0.608207 | − | 0.793779i | \(-0.291889\pi\) |
−0.974705 | + | 0.223497i | \(0.928253\pi\) | |||||||
\(762\) | 10.2681 | + | 13.1514i | 0.371975 | + | 0.476424i | ||||
\(763\) | 2.75689 | − | 6.03676i | 0.0998063 | − | 0.218545i | ||||
\(764\) | −23.9691 | − | 26.1187i | −0.867172 | − | 0.944941i | ||||
\(765\) | −0.373502 | + | 0.00451825i | −0.0135040 | + | 0.000163358i | ||||
\(766\) | 3.79801 | + | 23.9836i | 0.137228 | + | 0.866562i | ||||
\(767\) | −1.01845 | − | 7.08349i | −0.0367742 | − | 0.255770i | ||||
\(768\) | −6.50426 | + | 26.9387i | −0.234702 | + | 0.972067i | ||||
\(769\) | −8.68071 | + | 10.0181i | −0.313034 | + | 0.361261i | −0.890363 | − | 0.455251i | \(-0.849550\pi\) |
0.577329 | + | 0.816512i | \(0.304095\pi\) | |||||||
\(770\) | 0.0321614 | + | 0.0678471i | 0.00115901 | + | 0.00244504i | ||||
\(771\) | −29.0225 | + | 29.3757i | −1.04522 | + | 1.05794i | ||||
\(772\) | 10.2817 | + | 2.70314i | 0.370046 | + | 0.0972880i | ||||
\(773\) | 22.8547 | + | 6.71073i | 0.822025 | + | 0.241368i | 0.665588 | − | 0.746320i | \(-0.268181\pi\) |
0.156437 | + | 0.987688i | \(0.449999\pi\) | |||||||
\(774\) | 8.18641 | − | 7.48017i | 0.294254 | − | 0.268869i | ||||
\(775\) | −14.1052 | + | 12.2223i | −0.506675 | + | 0.439037i | ||||
\(776\) | 19.6900 | − | 6.70834i | 0.706830 | − | 0.240816i | ||||
\(777\) | −1.06902 | + | 0.0829595i | −0.0383509 | + | 0.00297616i | ||||
\(778\) | −1.51999 | + | 1.00774i | −0.0544943 | + | 0.0361292i | ||||
\(779\) | 40.2447 | + | 5.78631i | 1.44192 | + | 0.207316i | ||||
\(780\) | −0.472299 | + | 0.506125i | −0.0169110 | + | 0.0181222i | ||||
\(781\) | 53.3296i | 1.90828i | ||||||||
\(782\) | 4.84210 | − | 23.7856i | 0.173153 | − | 0.850572i | ||||
\(783\) | 4.08226 | + | 2.94190i | 0.145888 | + | 0.105135i | ||||
\(784\) | −2.33872 | + | 27.1972i | −0.0835258 | + | 0.971328i | ||||
\(785\) | −0.514690 | − | 0.0740012i | −0.0183701 | − | 0.00264122i | ||||
\(786\) | −7.45427 | − | 18.8102i | −0.265885 | − | 0.670939i | ||||
\(787\) | −44.4245 | + | 13.0442i | −1.58356 | + | 0.464976i | −0.950912 | − | 0.309461i | \(-0.899852\pi\) |
−0.632651 | + | 0.774437i | \(0.718033\pi\) | |||||||
\(788\) | 13.2043 | − | 16.1466i | 0.470385 | − | 0.575197i | ||||
\(789\) | −8.31713 | − | 15.0151i | −0.296098 | − | 0.534551i | ||||
\(790\) | 0.685055 | + | 0.301128i | 0.0243732 | + | 0.0107136i | ||||
\(791\) | −5.25111 | − | 1.54187i | −0.186708 | − | 0.0548224i | ||||
\(792\) | 29.1270 | − | 10.3184i | 1.03498 | − | 0.366647i | ||||
\(793\) | 35.7296 | + | 22.9620i | 1.26879 | + | 0.815405i | ||||
\(794\) | 30.6157 | − | 14.5127i | 1.08651 | − | 0.515036i | ||||
\(795\) | −0.425792 | + | 0.322781i | −0.0151013 | + | 0.0114479i | ||||
\(796\) | −40.3352 | + | 6.97818i | −1.42964 | + | 0.247335i | ||||
\(797\) | −6.20689 | − | 43.1699i | −0.219859 | − | 1.52916i | −0.738553 | − | 0.674195i | \(-0.764491\pi\) |
0.518694 | − | 0.854960i | \(-0.326418\pi\) | |||||||
\(798\) | −7.31617 | − | 0.374159i | −0.258990 | − | 0.0132451i | ||||
\(799\) | 31.6620 | − | 14.4596i | 1.12012 | − | 0.511543i | ||||
\(800\) | 22.6394 | − | 16.9432i | 0.800423 | − | 0.599032i | ||||
\(801\) | −34.3590 | − | 38.6965i | −1.21401 | − | 1.36727i | ||||
\(802\) | −10.0723 | − | 8.47939i | −0.355666 | − | 0.299418i | ||||
\(803\) | −3.29723 | − | 5.13059i | −0.116357 | − | 0.181055i | ||||
\(804\) | 3.73537 | + | 14.7051i | 0.131736 | + | 0.518609i | ||||
\(805\) | 0.0243762 | + | 0.0655320i | 0.000859150 | + | 0.00230970i | ||||
\(806\) | −25.7470 | − | 16.0327i | −0.906899 | − | 0.564726i | ||||
\(807\) | −14.1578 | + | 5.37836i | −0.498379 | + | 0.189327i | ||||
\(808\) | 24.6129 | + | 6.09719i | 0.865879 | + | 0.214499i | ||||
\(809\) | 16.7910 | + | 7.66819i | 0.590340 | + | 0.269599i | 0.688106 | − | 0.725610i | \(-0.258442\pi\) |
−0.0977663 | + | 0.995209i | \(0.531170\pi\) | |||||||
\(810\) | −0.199292 | − | 0.395417i | −0.00700242 | − | 0.0138936i | ||||
\(811\) | −11.0534 | − | 24.2036i | −0.388138 | − | 0.849903i | −0.998337 | − | 0.0576550i | \(-0.981638\pi\) |
0.610199 | − | 0.792248i | \(-0.291090\pi\) | |||||||
\(812\) | 0.747592 | + | 0.315979i | 0.0262353 | + | 0.0110887i | ||||
\(813\) | 25.5380 | + | 1.67133i | 0.895657 | + | 0.0586161i | ||||
\(814\) | −5.06358 | − | 5.67809i | −0.177479 | − | 0.199017i | ||||
\(815\) | 0.0465743 | − | 0.0537496i | 0.00163143 | − | 0.00188277i | ||||
\(816\) | 3.32415 | + | 24.5717i | 0.116369 | + | 0.860182i | ||||
\(817\) | −15.6923 | − | 10.0848i | −0.549004 | − | 0.352823i | ||||
\(818\) | 11.3606 | − | 3.51242i | 0.397213 | − | 0.122809i | ||||
\(819\) | −5.51450 | − | 4.66275i | −0.192692 | − | 0.162930i | ||||
\(820\) | 0.223730 | + | 0.327231i | 0.00781301 | + | 0.0114274i | ||||
\(821\) | −1.03189 | − | 1.19087i | −0.0360133 | − | 0.0415615i | 0.737457 | − | 0.675394i | \(-0.236026\pi\) |
−0.773470 | + | 0.633832i | \(0.781481\pi\) | |||||||
\(822\) | −36.6440 | − | 12.8263i | −1.27811 | − | 0.447368i | ||||
\(823\) | −0.589858 | − | 2.00887i | −0.0205611 | − | 0.0700248i | 0.948573 | − | 0.316557i | \(-0.102527\pi\) |
−0.969135 | + | 0.246532i | \(0.920709\pi\) | |||||||
\(824\) | −8.83474 | + | 15.1328i | −0.307773 | + | 0.527175i | ||||
\(825\) | −29.6083 | − | 10.8398i | −1.03083 | − | 0.377393i | ||||
\(826\) | 0.738262 | − | 0.0105245i | 0.0256874 | − | 0.000366195i | ||||
\(827\) | 26.1524i | 0.909407i | 0.890643 | + | 0.454704i | \(0.150255\pi\) | ||||
−0.890643 | + | 0.454704i | \(0.849745\pi\) | |||||||
\(828\) | 27.8523 | − | 7.22834i | 0.967935 | − | 0.251202i | ||||
\(829\) | − | 20.2281i | − | 0.702552i | −0.936272 | − | 0.351276i | \(-0.885748\pi\) | ||
0.936272 | − | 0.351276i | \(-0.114252\pi\) | |||||||
\(830\) | −0.00563605 | − | 0.395351i | −0.000195630 | − | 0.0137228i | ||||
\(831\) | −41.7273 | − | 15.2767i | −1.44751 | − | 0.529941i | ||||
\(832\) | 37.1732 | + | 27.0165i | 1.28875 | + | 0.936629i | ||||
\(833\) | 6.88103 | + | 23.4346i | 0.238414 | + | 0.811962i | ||||
\(834\) | −3.60964 | + | 10.3125i | −0.124991 | + | 0.357094i | ||||
\(835\) | 0.0325313 | + | 0.0375431i | 0.00112579 | + | 0.00129923i | ||||
\(836\) | −29.3370 | − | 42.9086i | −1.01464 | − | 1.48403i | ||||
\(837\) | 15.3176 | − | 11.9063i | 0.529455 | − | 0.411543i | ||||
\(838\) | −2.53513 | − | 8.19964i | −0.0875748 | − | 0.283252i | ||||
\(839\) | −4.93667 | − | 3.17260i | −0.170433 | − | 0.109530i | 0.452644 | − | 0.891692i | \(-0.350481\pi\) |
−0.623076 | + | 0.782161i | \(0.714117\pi\) | |||||||
\(840\) | −0.0455409 | − | 0.0550202i | −0.00157131 | − | 0.00189838i | ||||
\(841\) | 18.3769 | − | 21.2080i | 0.633685 | − | 0.731311i | ||||
\(842\) | 0.815434 | − | 0.727185i | 0.0281017 | − | 0.0250604i | ||||
\(843\) | −25.2666 | − | 1.65357i | −0.870228 | − | 0.0569520i | ||||
\(844\) | 5.70276 | − | 13.4925i | 0.196297 | − | 0.464430i | ||||
\(845\) | 0.288985 | + | 0.632788i | 0.00994137 | + | 0.0217686i | ||||
\(846\) | 31.8853 | + | 26.1902i | 1.09624 | + | 0.900438i | ||||
\(847\) | −0.862186 | − | 0.393747i | −0.0296250 | − | 0.0135293i | ||||
\(848\) | 24.7167 | + | 25.4380i | 0.848775 | + | 0.873544i | ||||
\(849\) | −21.4207 | + | 8.13743i | −0.735157 | + | 0.279276i | ||||
\(850\) | 13.3738 | − | 21.4771i | 0.458718 | − | 0.736660i | ||||
\(851\) | −4.24062 | − | 5.67524i | −0.145366 | − | 0.194545i | ||||
\(852\) | −12.4895 | − | 49.1676i | −0.427883 | − | 1.68446i | ||||
\(853\) | −19.5385 | − | 30.4026i | −0.668987 | − | 1.04096i | −0.995406 | − | 0.0957388i | \(-0.969479\pi\) |
0.326420 | − | 0.945225i | \(-0.394158\pi\) | |||||||
\(854\) | −2.82206 | + | 3.35221i | −0.0965688 | + | 0.114710i | ||||
\(855\) | −0.556977 | + | 0.494545i | −0.0190482 | + | 0.0169131i | ||||
\(856\) | −27.2565 | + | 5.11669i | −0.931608 | + | 0.174885i | ||||
\(857\) | −31.8497 | + | 14.5453i | −1.08797 | + | 0.496857i | −0.876929 | − | 0.480621i | \(-0.840411\pi\) |
−0.211037 | + | 0.977478i | \(0.567684\pi\) | |||||||
\(858\) | 2.61705 | − | 51.1729i | 0.0893446 | − | 1.74701i | ||||
\(859\) | −5.77904 | − | 40.1941i | −0.197178 | − | 1.37141i | −0.812423 | − | 0.583069i | \(-0.801852\pi\) |
0.615244 | − | 0.788337i | \(-0.289057\pi\) | |||||||
\(860\) | −0.0310027 | − | 0.179201i | −0.00105718 | − | 0.00611070i | ||||
\(861\) | −3.29535 | + | 2.49811i | −0.112305 | + | 0.0851353i | ||||
\(862\) | −8.84461 | − | 18.6585i | −0.301249 | − | 0.635510i | ||||
\(863\) | 21.0443 | + | 13.5243i | 0.716355 | + | 0.460374i | 0.847367 | − | 0.531007i | \(-0.178186\pi\) |
−0.131012 | + | 0.991381i | \(0.541823\pi\) | |||||||
\(864\) | −24.4374 | + | 16.3345i | −0.831376 | + | 0.555711i | ||||
\(865\) | 0.372657 | + | 0.109422i | 0.0126707 | + | 0.00372046i | ||||
\(866\) | 6.00716 | − | 13.6661i | 0.204131 | − | 0.464392i | ||||
\(867\) | −3.51758 | − | 6.35035i | −0.119463 | − | 0.215669i | ||||
\(868\) | 1.98101 | − | 2.42242i | 0.0672398 | − | 0.0822224i | ||||
\(869\) | −53.1451 | + | 15.6048i | −1.80282 | + | 0.529356i | ||||
\(870\) | 0.0767181 | − | 0.0304024i | 0.00260099 | − | 0.00103074i | ||||
\(871\) | 24.9025 | + | 3.58044i | 0.843789 | + | 0.121319i | ||||
\(872\) | −39.9118 | + | 20.3323i | −1.35158 | + | 0.688537i | ||||
\(873\) | 20.1788 | + | 8.92196i | 0.682949 | + | 0.301963i | ||||
\(874\) | −23.7632 | − | 42.1686i | −0.803801 | − | 1.42637i | ||||
\(875\) | 0.145773i | 0.00492803i | ||||||||
\(876\) | 4.24147 | + | 3.95800i | 0.143306 | + | 0.133728i | ||||
\(877\) | 58.2966 | + | 8.38179i | 1.96854 | + | 0.283033i | 0.999322 | + | 0.0368182i | \(0.0117222\pi\) |
0.969215 | + | 0.246215i | \(0.0791868\pi\) | |||||||
\(878\) | 22.4698 | + | 33.8915i | 0.758318 | + | 1.14378i | ||||
\(879\) | 29.5642 | − | 2.29428i | 0.997176 | − | 0.0773841i | ||||
\(880\) | 0.114832 | − | 0.493590i | 0.00387098 | − | 0.0166389i | ||||
\(881\) | 27.5661 | − | 23.8862i | 0.928725 | − | 0.804745i | −0.0522987 | − | 0.998631i | \(-0.516655\pi\) |
0.981024 | + | 0.193886i | \(0.0621094\pi\) | |||||||
\(882\) | −21.3744 | + | 19.5304i | −0.719712 | + | 0.657623i | ||||
\(883\) | −28.4322 | − | 8.34846i | −0.956821 | − | 0.280948i | −0.234197 | − | 0.972189i | \(-0.575246\pi\) |
−0.722624 | + | 0.691241i | \(0.757064\pi\) | |||||||
\(884\) | 39.7649 | + | 10.4545i | 1.33744 | + | 0.351623i | ||||
\(885\) | 0.0527611 | − | 0.0534032i | 0.00177354 | − | 0.00179513i | ||||
\(886\) | −10.9814 | + | 5.20546i | −0.368926 | + | 0.174881i | ||||
\(887\) | −16.1533 | + | 18.6419i | −0.542375 | + | 0.625934i | −0.959089 | − | 0.283103i | \(-0.908636\pi\) |
0.416714 | + | 0.909037i | \(0.363181\pi\) | |||||||
\(888\) | 5.99819 | + | 4.04909i | 0.201286 | + | 0.135879i | ||||
\(889\) | 0.406240 | + | 2.82546i | 0.0136249 | + | 0.0947630i | ||||
\(890\) | −0.838240 | + | 0.132742i | −0.0280979 | + | 0.00444954i | ||||
\(891\) | 30.1339 | + | 12.8901i | 1.00952 | + | 0.431834i | ||||
\(892\) | −11.8364 | + | 10.8622i | −0.396311 | + | 0.363695i | ||||
\(893\) | 28.8335 | − | 63.1366i | 0.964878 | − | 2.11279i | ||||
\(894\) | −25.5840 | + | 19.9751i | −0.855657 | + | 0.668067i | ||||
\(895\) | −0.367031 | − | 0.571111i | −0.0122685 | − | 0.0190901i | ||||
\(896\) | −3.25601 | + | 3.44630i | −0.108776 | + | 0.115133i | ||||
\(897\) | 6.54654 | − | 47.2638i | 0.218583 | − | 1.57809i | ||||
\(898\) | −5.05748 | + | 8.12186i | −0.168770 | + | 0.271030i | ||||
\(899\) | 1.95476 | + | 3.04166i | 0.0651948 | + | 0.101445i | ||||
\(900\) | 29.8363 | + | 3.05973i | 0.994542 | + | 0.101991i | ||||
\(901\) | 28.8669 | + | 13.1831i | 0.961696 | + | 0.439192i | ||||
\(902\) | −28.2673 | − | 7.86413i | −0.941198 | − | 0.261847i | ||||
\(903\) | 1.85133 | − | 0.414475i | 0.0616084 | − | 0.0137929i | ||||
\(904\) | 21.2805 | + | 30.1922i | 0.707778 | + | 1.00418i | ||||
\(905\) | 0.0366866 | − | 0.00527474i | 0.00121950 | − | 0.000175338i | ||||
\(906\) | 9.74272 | − | 5.57963i | 0.323680 | − | 0.185371i | ||||
\(907\) | −23.7623 | + | 27.4232i | −0.789014 | + | 0.910571i | −0.997726 | − | 0.0674062i | \(-0.978528\pi\) |
0.208711 | + | 0.977977i | \(0.433073\pi\) | |||||||
\(908\) | 6.14946 | + | 0.705898i | 0.204077 | + | 0.0234260i | ||||
\(909\) | 14.8132 | + | 22.4480i | 0.491322 | + | 0.744553i | ||||
\(910\) | −0.113149 | + | 0.0349831i | −0.00375086 | + | 0.00115968i | ||||
\(911\) | −6.09585 | − | 1.78990i | −0.201965 | − | 0.0593022i | 0.179186 | − | 0.983815i | \(-0.442654\pi\) |
−0.381150 | + | 0.924513i | \(0.624472\pi\) | |||||||
\(912\) | 37.0964 | + | 32.6894i | 1.22839 | + | 1.08245i | ||||
\(913\) | 19.1651 | + | 22.1177i | 0.634273 | + | 0.731990i | ||||
\(914\) | −3.26460 | + | 25.2565i | −0.107983 | + | 0.835411i | ||||
\(915\) | 0.0344713 | + | 0.444200i | 0.00113959 | + | 0.0146848i | ||||
\(916\) | 0.718888 | + | 25.2087i | 0.0237527 | + | 0.832921i | ||||
\(917\) | 0.492633 | − | 3.42634i | 0.0162682 | − | 0.113148i | ||||
\(918\) | −15.0705 | + | 21.5535i | −0.497401 | + | 0.711370i | ||||
\(919\) | 18.2011i | 0.600400i | 0.953876 | + | 0.300200i | \(0.0970535\pi\) | ||||
−0.953876 | + | 0.300200i | \(0.902947\pi\) | |||||||
\(920\) | 0.146259 | − | 0.448673i | 0.00482201 | − | 0.0147923i | ||||
\(921\) | −44.0510 | − | 9.30402i | −1.45153 | − | 0.306578i | ||||
\(922\) | 27.6079 | − | 0.393572i | 0.909216 | − | 0.0129616i | ||||
\(923\) | −83.2633 | − | 11.9715i | −2.74065 | − | 0.394045i | ||||
\(924\) | 5.20147 | + | 0.944583i | 0.171116 | + | 0.0310745i | ||||
\(925\) | −2.08042 | − | 7.08527i | −0.0684039 | − | 0.232962i | ||||
\(926\) | −8.13247 | − | 1.05118i | −0.267250 | − | 0.0345440i | ||||
\(927\) | −17.7684 | + | 5.45157i | −0.583590 | + | 0.179053i | ||||
\(928\) | −2.62472 | − | 4.80825i | −0.0861606 | − | 0.157838i | ||||
\(929\) | −8.31411 | + | 28.3153i | −0.272777 | + | 0.928994i | 0.703176 | + | 0.711015i | \(0.251764\pi\) |
−0.975954 | + | 0.217978i | \(0.930054\pi\) | |||||||
\(930\) | −0.0291365 | − | 0.316837i | −0.000955425 | − | 0.0103895i | ||||
\(931\) | 40.9719 | + | 26.3311i | 1.34280 | + | 0.862965i | ||||
\(932\) | −19.6880 | − | 2.25999i | −0.644903 | − | 0.0740286i | ||||
\(933\) | 26.0722 | − | 19.7646i | 0.853565 | − | 0.647063i | ||||
\(934\) | −8.02395 | + | 7.15557i | −0.262552 | + | 0.234138i | ||||
\(935\) | −0.0645290 | − | 0.448809i | −0.00211033 | − | 0.0146776i | ||||
\(936\) | 9.57161 | + | 47.7922i | 0.312858 | + | 1.56214i | ||||
\(937\) | 16.5717 | + | 36.2870i | 0.541374 | + | 1.18544i | 0.960695 | + | 0.277606i | \(0.0895411\pi\) |
−0.419321 | + | 0.907838i | \(0.637732\pi\) | |||||||
\(938\) | −0.695711 | + | 2.50070i | −0.0227158 | + | 0.0816509i | ||||
\(939\) | 15.0421 | − | 20.3493i | 0.490881 | − | 0.664074i | ||||
\(940\) | 0.643597 | − | 0.209082i | 0.0209918 | − | 0.00681949i | ||||
\(941\) | 3.44915 | − | 2.21663i | 0.112439 | − | 0.0722602i | −0.483213 | − | 0.875503i | \(-0.660530\pi\) |
0.595652 | + | 0.803243i | \(0.296894\pi\) | |||||||
\(942\) | −25.3571 | + | 26.4083i | −0.826179 | + | 0.860427i | ||||
\(943\) | −25.5913 | − | 9.57084i | −0.833368 | − | 0.311669i | ||||
\(944\) | −3.94601 | − | 3.04346i | −0.128432 | − | 0.0990562i | ||||
\(945\) | 0.00403245 | − | 0.0756478i | 0.000131176 | − | 0.00246082i | ||||
\(946\) | 10.2978 | + | 8.66923i | 0.334811 | + | 0.281861i | ||||
\(947\) | −35.9273 | − | 16.4074i | −1.16748 | − | 0.533170i | −0.265146 | − | 0.964208i | \(-0.585420\pi\) |
−0.902334 | + | 0.431038i | \(0.858148\pi\) | |||||||
\(948\) | 45.3430 | − | 26.8333i | 1.47267 | − | 0.871504i | ||||
\(949\) | 8.75055 | − | 3.99624i | 0.284055 | − | 0.129724i | ||||
\(950\) | −7.89113 | − | 49.8307i | −0.256022 | − | 1.61672i | ||||
\(951\) | 1.73398 | − | 26.4953i | 0.0562281 | − | 0.859168i | ||||
\(952\) | −1.59564 | + | 3.93053i | −0.0517150 | + | 0.127389i | ||||
\(953\) | −11.8886 | − | 10.3015i | −0.385109 | − | 0.333699i | 0.440694 | − | 0.897657i | \(-0.354732\pi\) |
−0.825803 | + | 0.563958i | \(0.809278\pi\) | |||||||
\(954\) | 0.991216 | + | 37.6069i | 0.0320918 | + | 1.21757i | ||||
\(955\) | −0.518757 | − | 0.333385i | −0.0167866 | − | 0.0107881i | ||||
\(956\) | 59.2342 | + | 15.5731i | 1.91577 | + | 0.503670i | ||||
\(957\) | −2.89484 | + | 5.37858i | −0.0935768 | + | 0.173865i | ||||
\(958\) | 23.2069 | − | 52.7949i | 0.749780 | − | 1.70572i | ||||
\(959\) | −4.34963 | − | 5.01974i | −0.140457 | − | 0.162096i | ||||
\(960\) | 0.00972604 | + | 0.481962i | 0.000313907 | + | 0.0155553i | ||||
\(961\) | −16.3686 | + | 4.80624i | −0.528018 | + | 0.155040i | ||||
\(962\) | 10.0019 | − | 6.63114i | 0.322473 | − | 0.213797i | ||||
\(963\) | −24.9359 | − | 15.6024i | −0.803549 | − | 0.502780i | ||||
\(964\) | −39.1152 | − | 23.5900i | −1.25982 | − | 0.759784i | ||||
\(965\) | 0.184926 | 0.00595299 | ||||||||
\(966\) | 4.74951 | + | 1.29495i | 0.152813 | + | 0.0416644i | ||||
\(967\) | 50.8737i | 1.63599i | 0.575227 | + | 0.817994i | \(0.304914\pi\) | ||||
−0.575227 | + | 0.817994i | \(0.695086\pi\) | |||||||
\(968\) | 2.90391 | + | 5.70030i | 0.0933351 | + | 0.183215i | ||||
\(969\) | 41.5429 | + | 15.2091i | 1.33455 | + | 0.488587i | ||||
\(970\) | 0.301578 | − | 0.199943i | 0.00968307 | − | 0.00641979i | ||||
\(971\) | −14.3773 | − | 48.9647i | −0.461391 | − | 1.57135i | −0.781458 | − | 0.623957i | \(-0.785524\pi\) |
0.320068 | − | 0.947395i | \(-0.396294\pi\) | |||||||
\(972\) | −30.8010 | − | 4.82692i | −0.987942 | − | 0.154824i | ||||
\(973\) | −1.41268 | + | 1.22409i | −0.0452885 | + | 0.0392427i | ||||
\(974\) | 44.1505 | + | 19.4071i | 1.41467 | + | 0.621844i | ||||
\(975\) | 23.5707 | − | 43.7941i | 0.754865 | − | 1.40253i | ||||
\(976\) | 28.9869 | − | 5.87048i | 0.927849 | − | 0.187909i | ||||
\(977\) | −10.5388 | + | 16.3988i | −0.337168 | + | 0.524643i | −0.967893 | − | 0.251363i | \(-0.919121\pi\) |
0.630725 | + | 0.776006i | \(0.282757\pi\) | |||||||
\(978\) | −1.16354 | − | 4.87046i | −0.0372060 | − | 0.155740i | ||||
\(979\) | 41.1369 | − | 47.4745i | 1.31474 | − | 1.51729i | ||||
\(980\) | 0.0809467 | + | 0.467886i | 0.00258575 | + | 0.0149461i | ||||
\(981\) | −45.7435 | − | 12.8326i | −1.46048 | − | 0.409712i | ||||
\(982\) | −25.5352 | + | 4.04373i | −0.814862 | + | 0.129040i | ||||
\(983\) | −12.2590 | − | 26.8436i | −0.391003 | − | 0.856177i | −0.998104 | − | 0.0615520i | \(-0.980395\pi\) |
0.607101 | − | 0.794625i | \(-0.292332\pi\) | |||||||
\(984\) | 27.9030 | + | 0.630356i | 0.889515 | + | 0.0200950i | ||||
\(985\) | 0.150723 | − | 0.330038i | 0.00480244 | − | 0.0105159i | ||||
\(986\) | −3.74956 | − | 3.15656i | −0.119410 | − | 0.100525i | ||||
\(987\) | 2.50692 | + | 6.59915i | 0.0797962 | + | 0.210053i | ||||
\(988\) | 73.5787 | − | 36.1716i | 2.34085 | − | 1.15077i | ||||
\(989\) | 8.85582 | + | 8.87148i | 0.281599 | + | 0.282097i | ||||
\(990\) | 0.444370 | − | 0.302414i | 0.0141230 | − | 0.00961136i | ||||
\(991\) | −16.9719 | − | 26.4087i | −0.539129 | − | 0.838901i | 0.459660 | − | 0.888095i | \(-0.347971\pi\) |
−0.998789 | + | 0.0491936i | \(0.984335\pi\) | |||||||
\(992\) | −20.6388 | + | 4.48698i | −0.655283 | + | 0.142462i | ||||
\(993\) | −31.7219 | + | 42.9141i | −1.00667 | + | 1.36184i | ||||
\(994\) | 2.32616 | − | 8.36129i | 0.0737813 | − | 0.265204i | ||||
\(995\) | −0.647700 | + | 0.295795i | −0.0205335 | + | 0.00937733i | ||||
\(996\) | −22.8493 | − | 15.9033i | −0.724008 | − | 0.503914i | ||||
\(997\) | 40.3969 | − | 5.80820i | 1.27938 | − | 0.183948i | 0.531090 | − | 0.847315i | \(-0.321782\pi\) |
0.748294 | + | 0.663367i | \(0.230873\pi\) | |||||||
\(998\) | 24.8991 | + | 27.9208i | 0.788168 | + | 0.883817i | ||||
\(999\) | 1.76746 | + | 7.46969i | 0.0559199 | + | 0.236330i |
(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 | 552.2.x.a.35.1 | ✓ | 920 | |
3.2 | odd | 2 | inner | 552.2.x.a.35.92 | yes | 920 | |
8.3 | odd | 2 | inner | 552.2.x.a.35.60 | yes | 920 | |
23.2 | even | 11 | inner | 552.2.x.a.347.33 | yes | 920 | |
24.11 | even | 2 | inner | 552.2.x.a.35.33 | yes | 920 | |
69.2 | odd | 22 | inner | 552.2.x.a.347.60 | yes | 920 | |
184.163 | odd | 22 | inner | 552.2.x.a.347.92 | yes | 920 | |
552.347 | even | 22 | inner | 552.2.x.a.347.1 | yes | 920 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.x.a.35.1 | ✓ | 920 | 1.1 | even | 1 | trivial | |
552.2.x.a.35.33 | yes | 920 | 24.11 | even | 2 | inner | |
552.2.x.a.35.60 | yes | 920 | 8.3 | odd | 2 | inner | |
552.2.x.a.35.92 | yes | 920 | 3.2 | odd | 2 | inner | |
552.2.x.a.347.1 | yes | 920 | 552.347 | even | 22 | inner | |
552.2.x.a.347.33 | yes | 920 | 23.2 | even | 11 | inner | |
552.2.x.a.347.60 | yes | 920 | 69.2 | odd | 22 | inner | |
552.2.x.a.347.92 | yes | 920 | 184.163 | odd | 22 | inner |