Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.12 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.12 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28262 | + | 0.492351i | −0.906948 | + | 0.348145i | −0.766725 | − | 0.641975i | \(-0.778115\pi\) |
−0.140222 | + | 0.990120i | \(0.544782\pi\) | |||||||
\(3\) | 1.16310 | + | 0.122247i | 0.671516 | + | 0.0705791i | 0.434149 | − | 0.900841i | \(-0.357049\pi\) |
0.237367 | + | 0.971420i | \(0.423716\pi\) | |||||||
\(4\) | −0.0835907 | + | 0.0752654i | −0.0417954 | + | 0.0376327i | ||||
\(5\) | 2.24725 | − | 2.24725i | 1.00500 | − | 1.00500i | 0.00501424 | − | 0.999987i | \(-0.498404\pi\) |
0.999987 | − | 0.00501424i | \(-0.00159609\pi\) | |||||||
\(6\) | −1.55200 | + | 0.415857i | −0.633601 | + | 0.169773i | ||||
\(7\) | −0.137685 | + | 2.62719i | −0.0520401 | + | 0.992985i | 0.840442 | + | 0.541902i | \(0.182295\pi\) |
−0.892482 | + | 0.451083i | \(0.851038\pi\) | |||||||
\(8\) | 1.31761 | − | 2.58595i | 0.465844 | − | 0.914270i | ||||
\(9\) | −1.59659 | − | 0.339365i | −0.532196 | − | 0.113122i | ||||
\(10\) | −1.77593 | + | 3.98880i | −0.561598 | + | 1.26137i | ||||
\(11\) | 2.79169 | − | 4.29882i | 0.841725 | − | 1.29614i | −0.111464 | − | 0.993769i | \(-0.535554\pi\) |
0.953189 | − | 0.302375i | \(-0.0977795\pi\) | |||||||
\(12\) | −0.106425 | + | 0.0773225i | −0.0307223 | + | 0.0223211i | ||||
\(13\) | 3.11854 | + | 1.80961i | 0.864929 | + | 0.501895i | ||||
\(14\) | −1.11690 | − | 3.43747i | −0.298505 | − | 0.918703i | ||||
\(15\) | 2.88850 | − | 2.33906i | 0.745807 | − | 0.603942i | ||||
\(16\) | −0.393276 | + | 3.74177i | −0.0983190 | + | 0.935443i | ||||
\(17\) | 0.775745 | + | 0.164890i | 0.188146 | + | 0.0399916i | 0.301021 | − | 0.953618i | \(-0.402673\pi\) |
−0.112875 | + | 0.993609i | \(0.536006\pi\) | |||||||
\(18\) | 2.21490 | − | 0.350805i | 0.522056 | − | 0.0826856i | ||||
\(19\) | −2.37080 | − | 1.91983i | −0.543898 | − | 0.440440i | 0.317582 | − | 0.948231i | \(-0.397129\pi\) |
−0.861481 | + | 0.507791i | \(0.830462\pi\) | |||||||
\(20\) | −0.0187090 | + | 0.356990i | −0.00418347 | + | 0.0798253i | ||||
\(21\) | −0.481307 | + | 3.03885i | −0.105030 | + | 0.663132i | ||||
\(22\) | −1.46414 | + | 6.88824i | −0.312156 | + | 1.46858i | ||||
\(23\) | 1.61522 | − | 1.79388i | 0.336796 | − | 0.374050i | −0.550828 | − | 0.834619i | \(-0.685688\pi\) |
0.887624 | + | 0.460569i | \(0.152355\pi\) | |||||||
\(24\) | 1.84863 | − | 2.84664i | 0.377350 | − | 0.581068i | ||||
\(25\) | − | 5.10028i | − | 1.02006i | ||||||
\(26\) | −4.89086 | − | 0.785616i | −0.959177 | − | 0.154072i | ||||
\(27\) | −5.15230 | − | 1.67408i | −0.991561 | − | 0.322178i | ||||
\(28\) | −0.186227 | − | 0.229972i | −0.0351937 | − | 0.0434605i | ||||
\(29\) | 1.61437 | − | 3.62594i | 0.299781 | − | 0.673320i | −0.699359 | − | 0.714770i | \(-0.746531\pi\) |
0.999141 | + | 0.0414505i | \(0.0131979\pi\) | |||||||
\(30\) | −2.55320 | + | 4.42227i | −0.466148 | + | 0.807393i | ||||
\(31\) | 4.96900 | + | 2.51179i | 0.892458 | + | 0.451130i | ||||
\(32\) | 0.164487 | + | 0.613872i | 0.0290774 | + | 0.108518i | ||||
\(33\) | 3.77253 | − | 4.65868i | 0.656713 | − | 0.810973i | ||||
\(34\) | −1.07617 | + | 0.170448i | −0.184561 | + | 0.0292316i | ||||
\(35\) | 5.59455 | + | 6.21337i | 0.945651 | + | 1.05025i | ||||
\(36\) | 0.159002 | − | 0.0918000i | 0.0265004 | − | 0.0153000i | ||||
\(37\) | 9.16746 | + | 2.45641i | 1.50712 | + | 0.403832i | 0.915478 | − | 0.402369i | \(-0.131813\pi\) |
0.591643 | + | 0.806200i | \(0.298480\pi\) | |||||||
\(38\) | 3.98606 | + | 1.29515i | 0.646624 | + | 0.210101i | ||||
\(39\) | 3.40596 | + | 2.48598i | 0.545390 | + | 0.398076i | ||||
\(40\) | −2.85028 | − | 8.77226i | −0.450669 | − | 1.38702i | ||||
\(41\) | −6.60900 | + | 2.53696i | −1.03215 | + | 0.396206i | −0.814711 | − | 0.579867i | \(-0.803104\pi\) |
−0.217441 | + | 0.976073i | \(0.569771\pi\) | |||||||
\(42\) | −0.878849 | − | 4.13466i | −0.135609 | − | 0.637991i | ||||
\(43\) | 0.453013 | + | 4.31013i | 0.0690839 | + | 0.657289i | 0.973193 | + | 0.229988i | \(0.0738688\pi\) |
−0.904109 | + | 0.427301i | \(0.859464\pi\) | |||||||
\(44\) | 0.0901935 | + | 0.569459i | 0.0135972 | + | 0.0858492i | ||||
\(45\) | −4.35057 | + | 2.82529i | −0.648545 | + | 0.421170i | ||||
\(46\) | −1.18849 | + | 3.09612i | −0.175233 | + | 0.456498i | ||||
\(47\) | 1.13717 | + | 7.17981i | 0.165873 | + | 1.04728i | 0.920390 | + | 0.391002i | \(0.127871\pi\) |
−0.754517 | + | 0.656281i | \(0.772129\pi\) | |||||||
\(48\) | −0.914838 | + | 4.30398i | −0.132046 | + | 0.621225i | ||||
\(49\) | 0.0784817 | + | 0.00824876i | 0.0112117 | + | 0.00117839i | ||||
\(50\) | 2.51113 | + | 6.54171i | 0.355127 | + | 0.925138i | ||||
\(51\) | 0.882111 | + | 0.286615i | 0.123520 | + | 0.0401342i | ||||
\(52\) | −0.396882 | + | 0.0834522i | −0.0550377 | + | 0.0115727i | ||||
\(53\) | 8.63360 | − | 2.80523i | 1.18592 | − | 0.385328i | 0.351355 | − | 0.936242i | \(-0.385721\pi\) |
0.834562 | + | 0.550915i | \(0.185721\pi\) | |||||||
\(54\) | 7.43267 | − | 0.389530i | 1.01146 | − | 0.0530083i | ||||
\(55\) | −3.38691 | − | 15.9342i | −0.456691 | − | 2.14856i | ||||
\(56\) | 6.61236 | + | 3.81765i | 0.883614 | + | 0.510154i | ||||
\(57\) | −2.52278 | − | 2.52278i | −0.334150 | − | 0.334150i | ||||
\(58\) | −0.285388 | + | 5.44553i | −0.0374733 | + | 0.715033i | ||||
\(59\) | 1.92175 | + | 0.737689i | 0.250190 | + | 0.0960389i | 0.480231 | − | 0.877142i | \(-0.340553\pi\) |
−0.230041 | + | 0.973181i | \(0.573886\pi\) | |||||||
\(60\) | −0.0654013 | + | 0.412927i | −0.00844327 | + | 0.0533087i | ||||
\(61\) | −6.94030 | − | 4.00699i | −0.888615 | − | 0.513042i | −0.0151257 | − | 0.999886i | \(-0.504815\pi\) |
−0.873489 | + | 0.486844i | \(0.838148\pi\) | |||||||
\(62\) | −7.61000 | − | 0.775172i | −0.966471 | − | 0.0984470i | ||||
\(63\) | 1.11140 | − | 4.14781i | 0.140024 | − | 0.522575i | ||||
\(64\) | −4.93616 | − | 6.79404i | −0.617020 | − | 0.849255i | ||||
\(65\) | 11.0748 | − | 2.94151i | 1.37366 | − | 0.364850i | ||||
\(66\) | −2.54500 | + | 7.83272i | −0.313268 | + | 0.964141i | ||||
\(67\) | −9.60924 | − | 2.57479i | −1.17396 | − | 0.314560i | −0.381429 | − | 0.924398i | \(-0.624568\pi\) |
−0.792526 | + | 0.609838i | \(0.791235\pi\) | |||||||
\(68\) | −0.0772556 | + | 0.0446035i | −0.00936861 | + | 0.00540897i | ||||
\(69\) | 2.09796 | − | 1.88901i | 0.252564 | − | 0.227410i | ||||
\(70\) | −10.2348 | − | 5.21490i | −1.22330 | − | 0.623300i | ||||
\(71\) | −6.49625 | + | 4.21871i | −0.770963 | + | 0.500669i | −0.869180 | − | 0.494496i | \(-0.835353\pi\) |
0.0982169 | + | 0.995165i | \(0.468686\pi\) | |||||||
\(72\) | −2.98125 | + | 3.68154i | −0.351344 | + | 0.433873i | ||||
\(73\) | 2.31277 | + | 4.53908i | 0.270690 | + | 0.531259i | 0.985835 | − | 0.167717i | \(-0.0536395\pi\) |
−0.715145 | + | 0.698976i | \(0.753640\pi\) | |||||||
\(74\) | −12.9678 | + | 1.36297i | −1.50747 | + | 0.158442i | ||||
\(75\) | 0.623493 | − | 5.93214i | 0.0719947 | − | 0.684984i | ||||
\(76\) | 0.342674 | − | 0.0179588i | 0.0393074 | − | 0.00206001i | ||||
\(77\) | 10.9094 | + | 7.92618i | 1.24325 | + | 0.903272i | ||||
\(78\) | −5.59252 | − | 1.51164i | −0.633228 | − | 0.171160i | ||||
\(79\) | 0.435388 | − | 0.141466i | 0.0489849 | − | 0.0159162i | −0.284422 | − | 0.958699i | \(-0.591802\pi\) |
0.333407 | + | 0.942783i | \(0.391802\pi\) | |||||||
\(80\) | 7.52491 | + | 9.29250i | 0.841311 | + | 1.03893i | ||||
\(81\) | −1.31457 | − | 0.585284i | −0.146063 | − | 0.0650315i | ||||
\(82\) | 7.22775 | − | 6.50789i | 0.798171 | − | 0.718677i | ||||
\(83\) | −14.1855 | − | 2.24677i | −1.55706 | − | 0.246615i | −0.682267 | − | 0.731103i | \(-0.739006\pi\) |
−0.874798 | + | 0.484488i | \(0.839006\pi\) | |||||||
\(84\) | −0.188488 | − | 0.290246i | −0.0205657 | − | 0.0316684i | ||||
\(85\) | 2.11384 | − | 1.37275i | 0.229279 | − | 0.148895i | ||||
\(86\) | −2.70314 | − | 5.30521i | −0.291487 | − | 0.572076i | ||||
\(87\) | 2.32093 | − | 4.01998i | 0.248830 | − | 0.430987i | ||||
\(88\) | −7.43818 | − | 12.8833i | −0.792913 | − | 1.37336i | ||||
\(89\) | 0.811032 | − | 1.24888i | 0.0859692 | − | 0.132381i | −0.793070 | − | 0.609131i | \(-0.791519\pi\) |
0.879039 | + | 0.476750i | \(0.158185\pi\) | |||||||
\(90\) | 4.18908 | − | 5.76578i | 0.441568 | − | 0.607767i | ||||
\(91\) | −5.18356 | + | 7.94385i | −0.543385 | + | 0.832742i | ||||
\(92\) | 0.271522i | 0.0283081i | ||||||||
\(93\) | 5.47238 | + | 3.52890i | 0.567459 | + | 0.365930i | ||||
\(94\) | −4.99354 | − | 8.64907i | −0.515044 | − | 0.892083i | ||||
\(95\) | −9.64213 | + | 1.01343i | −0.989262 | + | 0.103976i | ||||
\(96\) | 0.116270 | + | 0.734102i | 0.0118668 | + | 0.0749240i | ||||
\(97\) | −2.20029 | − | 0.115312i | −0.223406 | − | 0.0117082i | −0.0596953 | − | 0.998217i | \(-0.519013\pi\) |
−0.163710 | + | 0.986508i | \(0.552346\pi\) | |||||||
\(98\) | −0.104723 | + | 0.0280605i | −0.0105787 | + | 0.00283454i | ||||
\(99\) | −5.91604 | + | 5.91604i | −0.594585 | + | 0.594585i | ||||
\(100\) | 0.383875 | + | 0.426336i | 0.0383875 | + | 0.0426336i | ||||
\(101\) | −8.99555 | − | 8.09963i | −0.895091 | − | 0.805943i | 0.0866359 | − | 0.996240i | \(-0.472388\pi\) |
−0.981727 | + | 0.190297i | \(0.939055\pi\) | |||||||
\(102\) | −1.27253 | + | 0.0666903i | −0.125999 | + | 0.00660333i | ||||
\(103\) | −9.11764 | − | 12.5494i | −0.898388 | − | 1.23653i | −0.970979 | − | 0.239163i | \(-0.923127\pi\) |
0.0725912 | − | 0.997362i | \(-0.476873\pi\) | |||||||
\(104\) | 8.78856 | − | 5.68004i | 0.861789 | − | 0.556974i | ||||
\(105\) | 5.74745 | + | 7.91068i | 0.560894 | + | 0.772004i | ||||
\(106\) | −9.69246 | + | 7.84880i | −0.941414 | + | 0.762342i | ||||
\(107\) | −11.9523 | + | 13.2744i | −1.15547 | + | 1.28328i | −0.202823 | + | 0.979215i | \(0.565012\pi\) |
−0.952650 | + | 0.304068i | \(0.901655\pi\) | |||||||
\(108\) | 0.556685 | − | 0.247852i | 0.0535671 | − | 0.0238496i | ||||
\(109\) | −2.77343 | + | 0.439268i | −0.265646 | + | 0.0420742i | −0.287837 | − | 0.957680i | \(-0.592936\pi\) |
0.0221904 | + | 0.999754i | \(0.492936\pi\) | |||||||
\(110\) | 12.1893 | + | 18.7699i | 1.16221 | + | 1.78964i | ||||
\(111\) | 10.3624 | + | 3.97774i | 0.983553 | + | 0.377551i | ||||
\(112\) | −9.77620 | − | 1.54840i | −0.923764 | − | 0.146310i | ||||
\(113\) | −7.95284 | − | 8.83252i | −0.748140 | − | 0.830893i | 0.242102 | − | 0.970251i | \(-0.422163\pi\) |
−0.990242 | + | 0.139357i | \(0.955496\pi\) | |||||||
\(114\) | 4.47785 | + | 1.99367i | 0.419390 | + | 0.186724i | ||||
\(115\) | −0.401502 | − | 7.66111i | −0.0374402 | − | 0.714402i | ||||
\(116\) | 0.137961 | + | 0.424601i | 0.0128094 | + | 0.0394232i | ||||
\(117\) | −4.36491 | − | 3.94752i | −0.403536 | − | 0.364948i | ||||
\(118\) | −2.82807 | −0.260345 | ||||||||
\(119\) | −0.540005 | + | 2.01533i | −0.0495022 | + | 0.184745i | ||||
\(120\) | −2.24278 | − | 10.5515i | −0.204737 | − | 0.963211i | ||||
\(121\) | −6.21225 | − | 13.9529i | −0.564750 | − | 1.26845i | ||||
\(122\) | 10.8746 | + | 1.72237i | 0.984540 | + | 0.155936i | ||||
\(123\) | −7.99706 | + | 2.14281i | −0.721071 | + | 0.193210i | ||||
\(124\) | −0.604413 | + | 0.164032i | −0.0542778 | + | 0.0147305i | ||||
\(125\) | −0.225362 | − | 0.225362i | −0.0201570 | − | 0.0201570i | ||||
\(126\) | 0.616674 | + | 5.86726i | 0.0549376 | + | 0.522697i | ||||
\(127\) | −1.08020 | + | 10.2774i | −0.0958523 | + | 0.911974i | 0.835901 | + | 0.548881i | \(0.184946\pi\) |
−0.931753 | + | 0.363093i | \(0.881721\pi\) | |||||||
\(128\) | 8.61026 | + | 5.59157i | 0.761047 | + | 0.494230i | ||||
\(129\) | 5.06849i | 0.446256i | ||||||||
\(130\) | −12.7565 | + | 9.22552i | −1.11882 | + | 0.809132i | ||||
\(131\) | −2.45883 | + | 7.56750i | −0.214829 | + | 0.661176i | 0.784337 | + | 0.620335i | \(0.213004\pi\) |
−0.999166 | + | 0.0408405i | \(0.986996\pi\) | |||||||
\(132\) | 0.0352895 | + | 0.673363i | 0.00307155 | + | 0.0586088i | ||||
\(133\) | 5.37019 | − | 5.96420i | 0.465655 | − | 0.517162i | ||||
\(134\) | 13.5927 | − | 1.42865i | 1.17423 | − | 0.123416i | ||||
\(135\) | −15.3406 | + | 7.81643i | −1.32031 | + | 0.672731i | ||||
\(136\) | 1.44852 | − | 1.78878i | 0.124210 | − | 0.153386i | ||||
\(137\) | 6.10909 | − | 15.9147i | 0.521935 | − | 1.35969i | −0.378865 | − | 0.925452i | \(-0.623685\pi\) |
0.900800 | − | 0.434235i | \(-0.142981\pi\) | |||||||
\(138\) | −1.76082 | + | 3.45581i | −0.149891 | + | 0.294178i | ||||
\(139\) | 2.50392 | + | 5.62389i | 0.212379 | + | 0.477012i | 0.988051 | − | 0.154124i | \(-0.0492556\pi\) |
−0.775672 | + | 0.631136i | \(0.782589\pi\) | |||||||
\(140\) | −0.935304 | − | 0.0983044i | −0.0790476 | − | 0.00830824i | ||||
\(141\) | 0.444934 | + | 8.48985i | 0.0374702 | + | 0.714974i | ||||
\(142\) | 6.25512 | − | 8.60943i | 0.524918 | − | 0.722488i | ||||
\(143\) | 16.4852 | − | 8.35421i | 1.37856 | − | 0.698614i | ||||
\(144\) | 1.89773 | − | 5.84060i | 0.158144 | − | 0.486717i | ||||
\(145\) | −4.52050 | − | 11.7763i | −0.375407 | − | 0.977968i | ||||
\(146\) | −5.20122 | − | 4.68320i | −0.430456 | − | 0.387585i | ||||
\(147\) | 0.0902737 | + | 0.0191883i | 0.00744565 | + | 0.00158262i | ||||
\(148\) | −0.951197 | + | 0.484659i | −0.0781879 | + | 0.0398387i | ||||
\(149\) | 5.12179 | + | 19.1148i | 0.419594 | + | 1.56595i | 0.775453 | + | 0.631406i | \(0.217522\pi\) |
−0.355859 | + | 0.934540i | \(0.615812\pi\) | |||||||
\(150\) | 2.12099 | + | 7.91564i | 0.173178 | + | 0.646309i | ||||
\(151\) | 0.000803054 | 0.00157608i | 6.53516e−5 | 0.000128260i | 0.891039 | − | 0.453926i | \(-0.149977\pi\) | ||
−0.890974 | + | 0.454055i | \(0.849977\pi\) | |||||||
\(152\) | −8.08836 | + | 3.60117i | −0.656053 | + | 0.292094i | ||||
\(153\) | −1.18259 | − | 0.526522i | −0.0956065 | − | 0.0425667i | ||||
\(154\) | −17.8951 | − | 4.79498i | −1.44203 | − | 0.386391i | ||||
\(155\) | 16.8112 | − | 5.52197i | 1.35031 | − | 0.443535i | ||||
\(156\) | −0.471815 | + | 0.0485457i | −0.0377754 | + | 0.00388676i | ||||
\(157\) | −8.57285 | + | 6.22854i | −0.684188 | + | 0.497092i | −0.874744 | − | 0.484584i | \(-0.838971\pi\) |
0.190556 | + | 0.981676i | \(0.438971\pi\) | |||||||
\(158\) | −0.488785 | + | 0.395810i | −0.0388856 | + | 0.0314890i | ||||
\(159\) | 10.3847 | − | 2.20733i | 0.823558 | − | 0.175053i | ||||
\(160\) | 1.74917 | + | 1.00988i | 0.138284 | + | 0.0798382i | ||||
\(161\) | 4.49048 | + | 4.49048i | 0.353899 | + | 0.353899i | ||||
\(162\) | 1.97425 | + | 0.103466i | 0.155112 | + | 0.00812908i | ||||
\(163\) | 7.99540 | + | 12.3118i | 0.626248 | + | 0.964337i | 0.999332 | + | 0.0365398i | \(0.0116336\pi\) |
−0.373084 | + | 0.927797i | \(0.621700\pi\) | |||||||
\(164\) | 0.361506 | − | 0.709495i | 0.0282289 | − | 0.0554023i | ||||
\(165\) | −1.99142 | − | 18.9471i | −0.155031 | − | 1.47503i | ||||
\(166\) | 19.3008 | − | 4.10251i | 1.49803 | − | 0.318417i | ||||
\(167\) | −3.18857 | + | 1.22398i | −0.246739 | + | 0.0947143i | −0.478595 | − | 0.878036i | \(-0.658854\pi\) |
0.231856 | + | 0.972750i | \(0.425520\pi\) | |||||||
\(168\) | 7.22413 | + | 5.24864i | 0.557354 | + | 0.404941i | ||||
\(169\) | 6.45064 | + | 11.2867i | 0.496203 | + | 0.868206i | ||||
\(170\) | −2.03538 | + | 2.80146i | −0.156107 | + | 0.214862i | ||||
\(171\) | 3.13366 | + | 3.86975i | 0.239637 | + | 0.295927i | ||||
\(172\) | −0.362272 | − | 0.326191i | −0.0276230 | − | 0.0248718i | ||||
\(173\) | −5.61455 | − | 12.6105i | −0.426866 | − | 0.958758i | −0.991097 | − | 0.133141i | \(-0.957494\pi\) |
0.564231 | − | 0.825617i | \(-0.309173\pi\) | |||||||
\(174\) | −0.997633 | + | 6.29881i | −0.0756303 | + | 0.477511i | ||||
\(175\) | 13.3994 | + | 0.702234i | 1.01290 | + | 0.0530839i | ||||
\(176\) | 14.9873 | + | 12.1365i | 1.12971 | + | 0.914822i | ||||
\(177\) | 2.14500 | + | 1.09293i | 0.161228 | + | 0.0821499i | ||||
\(178\) | −0.425357 | + | 2.00115i | −0.0318819 | + | 0.149992i | ||||
\(179\) | −2.15653 | + | 0.458385i | −0.161187 | + | 0.0342613i | −0.287798 | − | 0.957691i | \(-0.592923\pi\) |
0.126611 | + | 0.991952i | \(0.459590\pi\) | |||||||
\(180\) | 0.151020 | − | 0.563616i | 0.0112564 | − | 0.0420094i | ||||
\(181\) | −17.3615 | −1.29047 | −0.645234 | − | 0.763985i | \(-0.723240\pi\) | ||||
−0.645234 | + | 0.763985i | \(0.723240\pi\) | |||||||
\(182\) | 2.73736 | − | 12.7411i | 0.202907 | − | 0.944430i | ||||
\(183\) | −7.58242 | − | 5.50895i | −0.560509 | − | 0.407234i | ||||
\(184\) | −2.51066 | − | 6.54050i | −0.185088 | − | 0.482172i | ||||
\(185\) | 26.1218 | − | 15.0814i | 1.92051 | − | 1.10881i | ||||
\(186\) | −8.75643 | − | 1.83190i | −0.642052 | − | 0.134321i | ||||
\(187\) | 2.87447 | − | 2.87447i | 0.210202 | − | 0.210202i | ||||
\(188\) | −0.635448 | − | 0.514576i | −0.0463448 | − | 0.0375293i | ||||
\(189\) | 5.10753 | − | 13.3056i | 0.371518 | − | 0.967839i | ||||
\(190\) | 11.8682 | − | 6.04715i | 0.861010 | − | 0.438707i | ||||
\(191\) | 5.35767 | − | 9.27976i | 0.387668 | − | 0.671460i | −0.604468 | − | 0.796630i | \(-0.706614\pi\) |
0.992135 | + | 0.125170i | \(0.0399475\pi\) | |||||||
\(192\) | −4.91070 | − | 8.50557i | −0.354399 | − | 0.613837i | ||||
\(193\) | 3.56446 | + | 2.31479i | 0.256576 | + | 0.166622i | 0.666517 | − | 0.745490i | \(-0.267784\pi\) |
−0.409942 | + | 0.912112i | \(0.634451\pi\) | |||||||
\(194\) | 2.87891 | − | 0.935413i | 0.206693 | − | 0.0671587i | ||||
\(195\) | 13.2407 | − | 2.06741i | 0.948185 | − | 0.148051i | ||||
\(196\) | −0.00718119 | + | 0.00521744i | −0.000512942 | + | 0.000372674i | ||||
\(197\) | 1.39800 | + | 0.907869i | 0.0996031 | + | 0.0646830i | 0.593479 | − | 0.804849i | \(-0.297754\pi\) |
−0.493876 | + | 0.869532i | \(0.664420\pi\) | |||||||
\(198\) | 4.67525 | − | 10.5008i | 0.332256 | − | 0.746258i | ||||
\(199\) | 4.43919 | − | 1.97646i | 0.314686 | − | 0.140107i | −0.243315 | − | 0.969947i | \(-0.578235\pi\) |
0.558002 | + | 0.829840i | \(0.311568\pi\) | |||||||
\(200\) | −13.1891 | − | 6.72016i | −0.932607 | − | 0.475187i | ||||
\(201\) | −10.8617 | − | 4.16943i | −0.766128 | − | 0.294089i | ||||
\(202\) | 15.5257 | + | 5.95976i | 1.09239 | + | 0.419327i | ||||
\(203\) | 9.30376 | + | 4.74050i | 0.652996 | + | 0.332718i | ||||
\(204\) | −0.0953085 | + | 0.0424341i | −0.00667293 | + | 0.00297098i | ||||
\(205\) | −9.15091 | + | 20.5533i | −0.639127 | + | 1.43550i | ||||
\(206\) | 17.8731 | + | 11.6070i | 1.24528 | + | 0.808695i | ||||
\(207\) | −3.18762 | + | 2.31594i | −0.221555 | + | 0.160969i | ||||
\(208\) | −7.99759 | + | 10.9572i | −0.554533 | + | 0.759746i | ||||
\(209\) | −14.8716 | + | 4.83206i | −1.02869 | + | 0.334241i | ||||
\(210\) | −11.2666 | − | 7.31662i | −0.777470 | − | 0.504895i | ||||
\(211\) | 8.73921 | + | 15.1368i | 0.601632 | + | 1.04206i | 0.992574 | + | 0.121642i | \(0.0388159\pi\) |
−0.390942 | + | 0.920415i | \(0.627851\pi\) | |||||||
\(212\) | −0.510552 | + | 0.884302i | −0.0350649 | + | 0.0607341i | ||||
\(213\) | −8.07151 | + | 4.11264i | −0.553051 | + | 0.281793i | ||||
\(214\) | 8.79459 | − | 22.9107i | 0.601186 | − | 1.56614i | ||||
\(215\) | 10.7040 | + | 8.66792i | 0.730006 | + | 0.591148i | ||||
\(216\) | −11.1178 | + | 11.1178i | −0.756470 | + | 0.756470i | ||||
\(217\) | −7.28310 | + | 12.7087i | −0.494409 | + | 0.862720i | ||||
\(218\) | 3.34097 | − | 1.92891i | 0.226279 | − | 0.130642i | ||||
\(219\) | 2.13510 | + | 5.56213i | 0.144277 | + | 0.375854i | ||||
\(220\) | 1.48241 | + | 1.07703i | 0.0999438 | + | 0.0726134i | ||||
\(221\) | 2.12081 | + | 1.91801i | 0.142661 | + | 0.129019i | ||||
\(222\) | −15.2494 | −1.02347 | ||||||||
\(223\) | 6.60188 | − | 24.6386i | 0.442095 | − | 1.64992i | −0.281400 | − | 0.959590i | \(-0.590799\pi\) |
0.723495 | − | 0.690329i | \(-0.242534\pi\) | |||||||
\(224\) | −1.63541 | + | 0.347616i | −0.109270 | + | 0.0232261i | ||||
\(225\) | −1.73086 | + | 8.14305i | −0.115391 | + | 0.542870i | ||||
\(226\) | 14.5491 | + | 7.41316i | 0.967795 | + | 0.493116i | ||||
\(227\) | 6.74580 | + | 5.46264i | 0.447734 | + | 0.362568i | 0.826512 | − | 0.562920i | \(-0.190322\pi\) |
−0.378777 | + | 0.925488i | \(0.623655\pi\) | |||||||
\(228\) | 0.400759 | + | 0.0210029i | 0.0265409 | + | 0.00139095i | ||||
\(229\) | −3.44373 | + | 21.7428i | −0.227568 | + | 1.43681i | 0.564025 | + | 0.825758i | \(0.309252\pi\) |
−0.791593 | + | 0.611049i | \(0.790748\pi\) | |||||||
\(230\) | 4.28693 | + | 9.62859i | 0.282672 | + | 0.634891i | ||||
\(231\) | 11.7198 | + | 10.5526i | 0.771108 | + | 0.694309i | ||||
\(232\) | −7.24938 | − | 8.95224i | −0.475945 | − | 0.587743i | ||||
\(233\) | 17.6586 | − | 24.3049i | 1.15685 | − | 1.59227i | 0.434623 | − | 0.900612i | \(-0.356882\pi\) |
0.722227 | − | 0.691656i | \(-0.243118\pi\) | |||||||
\(234\) | 7.54208 | + | 2.91409i | 0.493041 | + | 0.190500i | ||||
\(235\) | 18.6904 | + | 13.5793i | 1.21922 | + | 0.885818i | ||||
\(236\) | −0.216163 | + | 0.0829770i | −0.0140710 | + | 0.00540134i | ||||
\(237\) | 0.523693 | − | 0.111314i | 0.0340175 | − | 0.00723064i | ||||
\(238\) | −0.299628 | − | 2.85077i | −0.0194220 | − | 0.184788i | ||||
\(239\) | −0.379766 | + | 0.745332i | −0.0245650 | + | 0.0482115i | −0.902963 | − | 0.429719i | \(-0.858613\pi\) |
0.878398 | + | 0.477930i | \(0.158613\pi\) | |||||||
\(240\) | 7.61625 | + | 11.7280i | 0.491627 | + | 0.757039i | ||||
\(241\) | 10.9275 | + | 0.572686i | 0.703902 | + | 0.0368900i | 0.400929 | − | 0.916109i | \(-0.368687\pi\) |
0.302973 | + | 0.952999i | \(0.402021\pi\) | |||||||
\(242\) | 14.8377 | + | 14.8377i | 0.953802 | + | 0.953802i | ||||
\(243\) | 12.6175 | + | 7.28473i | 0.809415 | + | 0.467316i | ||||
\(244\) | 0.881732 | − | 0.187418i | 0.0564471 | − | 0.0119982i | ||||
\(245\) | 0.194905 | − | 0.157831i | 0.0124520 | − | 0.0100835i | ||||
\(246\) | 9.20216 | − | 6.68576i | 0.586708 | − | 0.426268i | ||||
\(247\) | −3.91929 | − | 10.2773i | −0.249379 | − | 0.653929i | ||||
\(248\) | 13.0425 | − | 9.54001i | 0.828201 | − | 0.605792i | ||||
\(249\) | −16.2245 | − | 4.34735i | −1.02819 | − | 0.275502i | ||||
\(250\) | 0.400011 | + | 0.178096i | 0.0252989 | + | 0.0112638i | ||||
\(251\) | −17.3119 | + | 7.70776i | −1.09272 | + | 0.486510i | −0.872338 | − | 0.488904i | \(-0.837397\pi\) |
−0.220381 | + | 0.975414i | \(0.570730\pi\) | |||||||
\(252\) | 0.219284 | + | 0.430369i | 0.0138136 | + | 0.0271107i | ||||
\(253\) | −3.20239 | − | 11.9515i | −0.201333 | − | 0.751384i | ||||
\(254\) | −3.67461 | − | 13.7138i | −0.230566 | − | 0.860483i | ||||
\(255\) | 2.62642 | − | 1.33823i | 0.164473 | − | 0.0838032i | ||||
\(256\) | 2.63208 | + | 0.559465i | 0.164505 | + | 0.0349666i | ||||
\(257\) | 15.9112 | + | 14.3265i | 0.992514 | + | 0.893664i | 0.994330 | − | 0.106335i | \(-0.0339115\pi\) |
−0.00181628 | + | 0.999998i | \(0.500578\pi\) | |||||||
\(258\) | −2.49548 | − | 6.50094i | −0.155362 | − | 0.404731i | ||||
\(259\) | −7.71569 | + | 23.7464i | −0.479429 | + | 1.47553i | ||||
\(260\) | −0.704356 | + | 1.07943i | −0.0436823 | + | 0.0669436i | ||||
\(261\) | −3.80800 | + | 5.24126i | −0.235709 | + | 0.324426i | ||||
\(262\) | −0.572126 | − | 10.9168i | −0.0353461 | − | 0.674444i | ||||
\(263\) | −24.1625 | − | 2.53958i | −1.48992 | − | 0.156597i | −0.675712 | − | 0.737166i | \(-0.736164\pi\) |
−0.814211 | + | 0.580569i | \(0.802830\pi\) | |||||||
\(264\) | −7.07640 | − | 15.8939i | −0.435522 | − | 0.978199i | ||||
\(265\) | 13.0978 | − | 25.7059i | 0.804593 | − | 1.57910i | ||||
\(266\) | −3.95142 | + | 10.2938i | −0.242277 | + | 0.631154i | ||||
\(267\) | 1.09598 | − | 1.35343i | 0.0670730 | − | 0.0828283i | ||||
\(268\) | 0.997035 | − | 0.508015i | 0.0609036 | − | 0.0310319i | ||||
\(269\) | −15.4947 | + | 1.62856i | −0.944730 | + | 0.0992951i | −0.564350 | − | 0.825535i | \(-0.690873\pi\) |
−0.380380 | + | 0.924830i | \(0.624207\pi\) | |||||||
\(270\) | 15.8277 | − | 17.5785i | 0.963244 | − | 1.06979i | ||||
\(271\) | 1.21416 | + | 23.1675i | 0.0737548 | + | 1.40732i | 0.745482 | + | 0.666526i | \(0.232219\pi\) |
−0.671727 | + | 0.740799i | \(0.734447\pi\) | |||||||
\(272\) | −0.922062 | + | 2.83781i | −0.0559082 | + | 0.172068i | ||||
\(273\) | −7.00011 | + | 8.60582i | −0.423666 | + | 0.520848i | ||||
\(274\) | 23.4203i | 1.41487i | ||||||||
\(275\) | −21.9252 | − | 14.2384i | −1.32214 | − | 0.858608i | ||||
\(276\) | −0.0331927 | + | 0.315807i | −0.00199796 | + | 0.0190093i | ||||
\(277\) | 1.10008 | + | 10.4666i | 0.0660973 | + | 0.628874i | 0.976554 | + | 0.215271i | \(0.0690633\pi\) |
−0.910457 | + | 0.413603i | \(0.864270\pi\) | |||||||
\(278\) | −5.98049 | − | 5.98049i | −0.358686 | − | 0.358686i | ||||
\(279\) | −7.08102 | − | 5.69659i | −0.423930 | − | 0.341046i | ||||
\(280\) | 23.4388 | − | 6.28042i | 1.40074 | − | 0.375327i | ||||
\(281\) | −8.59400 | − | 1.36116i | −0.512675 | − | 0.0811997i | −0.105263 | − | 0.994444i | \(-0.533569\pi\) |
−0.407412 | + | 0.913245i | \(0.633569\pi\) | |||||||
\(282\) | −4.75066 | − | 10.6702i | −0.282898 | − | 0.635399i | ||||
\(283\) | 2.38226 | + | 11.2076i | 0.141611 | + | 0.666225i | 0.990484 | + | 0.137629i | \(0.0439481\pi\) |
−0.848873 | + | 0.528596i | \(0.822719\pi\) | |||||||
\(284\) | 0.225503 | − | 0.841588i | 0.0133811 | − | 0.0499391i | ||||
\(285\) | −11.3386 | −0.671643 | ||||||||
\(286\) | −17.0310 | + | 18.8318i | −1.00706 | + | 1.11354i | ||||
\(287\) | −5.75511 | − | 17.7124i | −0.339713 | − | 1.04553i | ||||
\(288\) | −0.0542903 | − | 1.03592i | −0.00319909 | − | 0.0610422i | ||||
\(289\) | −14.9557 | − | 6.65870i | −0.879746 | − | 0.391688i | ||||
\(290\) | 11.5961 | + | 12.8788i | 0.680949 | + | 0.756270i | ||||
\(291\) | −2.54506 | − | 0.403098i | −0.149194 | − | 0.0236300i | ||||
\(292\) | −0.534962 | − | 0.205353i | −0.0313063 | − | 0.0120174i | ||||
\(293\) | 4.03876 | + | 6.21914i | 0.235947 | + | 0.363326i | 0.936733 | − | 0.350046i | \(-0.113834\pi\) |
−0.700786 | + | 0.713372i | \(0.747167\pi\) | |||||||
\(294\) | −0.125234 | + | 0.0198351i | −0.00730379 | + | 0.00115681i | ||||
\(295\) | 5.97642 | − | 2.66087i | 0.347961 | − | 0.154922i | ||||
\(296\) | 18.4312 | − | 20.4700i | 1.07129 | − | 1.18979i | ||||
\(297\) | −21.5802 | + | 17.4753i | −1.25221 | + | 1.01402i | ||||
\(298\) | −15.9805 | − | 21.9953i | −0.925725 | − | 1.27415i | ||||
\(299\) | 8.28335 | − | 2.67139i | 0.479039 | − | 0.154490i | ||||
\(300\) | 0.394366 | + | 0.542799i | 0.0227688 | + | 0.0313385i | ||||
\(301\) | −11.3859 | + | 0.596711i | −0.656273 | + | 0.0343938i | ||||
\(302\) | −0.00180600 | − | 0.00162613i | −0.000103923 | − | 9.35731e-5i | ||||
\(303\) | −9.47257 | − | 10.5204i | −0.544185 | − | 0.604378i | ||||
\(304\) | 8.11596 | − | 8.11596i | 0.465482 | − | 0.465482i | ||||
\(305\) | −24.6013 | + | 6.59190i | −1.40867 | + | 0.377451i | ||||
\(306\) | 1.77604 | + | 0.0930783i | 0.101529 | + | 0.00532093i | ||||
\(307\) | −3.40129 | − | 21.4749i | −0.194122 | − | 1.22564i | −0.871646 | − | 0.490136i | \(-0.836947\pi\) |
0.677524 | − | 0.735500i | \(-0.263053\pi\) | |||||||
\(308\) | −1.50850 | + | 0.158549i | −0.0859545 | + | 0.00903418i | ||||
\(309\) | −9.07061 | − | 15.7108i | −0.516009 | − | 0.893754i | ||||
\(310\) | −18.8436 | + | 15.3596i | −1.07024 | + | 0.872366i | ||||
\(311\) | 13.4533i | 0.762867i | 0.924396 | + | 0.381433i | \(0.124569\pi\) | ||||
−0.924396 | + | 0.381433i | \(0.875431\pi\) | |||||||
\(312\) | 10.9163 | − | 5.53208i | 0.618016 | − | 0.313192i | ||||
\(313\) | 19.9973 | − | 27.5239i | 1.13031 | − | 1.55574i | 0.342836 | − | 0.939395i | \(-0.388613\pi\) |
0.787476 | − | 0.616345i | \(-0.211387\pi\) | |||||||
\(314\) | 7.92907 | − | 12.2097i | 0.447463 | − | 0.689033i | ||||
\(315\) | −6.82358 | − | 11.8188i | −0.384465 | − | 0.665913i | ||||
\(316\) | −0.0257469 | + | 0.0445949i | −0.00144837 | + | 0.00250866i | ||||
\(317\) | −7.53771 | − | 14.7936i | −0.423360 | − | 0.830891i | −0.999904 | − | 0.0138249i | \(-0.995599\pi\) |
0.576545 | − | 0.817066i | \(-0.304401\pi\) | |||||||
\(318\) | −12.2328 | + | 7.94406i | −0.685980 | + | 0.445481i | ||||
\(319\) | −11.0804 | − | 17.0624i | −0.620386 | − | 0.955310i | ||||
\(320\) | −26.3607 | − | 4.17513i | −1.47361 | − | 0.233397i | ||||
\(321\) | −15.5245 | + | 13.9783i | −0.866492 | + | 0.780193i | ||||
\(322\) | −7.97046 | − | 3.54868i | −0.444176 | − | 0.197760i | ||||
\(323\) | −1.52257 | − | 1.88022i | −0.0847183 | − | 0.104618i | ||||
\(324\) | 0.153937 | − | 0.0500173i | 0.00855208 | − | 0.00277874i | ||||
\(325\) | 9.22951 | − | 15.9055i | 0.511961 | − | 0.882276i | ||||
\(326\) | −16.3168 | − | 11.8548i | −0.903703 | − | 0.656579i | ||||
\(327\) | −3.27947 | + | 0.171870i | −0.181355 | + | 0.00950442i | ||||
\(328\) | −2.14762 | + | 20.4332i | −0.118582 | + | 1.12824i | ||||
\(329\) | −19.0193 | + | 1.99901i | −1.04857 | + | 0.110209i | ||||
\(330\) | 11.8828 | + | 23.3214i | 0.654128 | + | 1.28380i | ||||
\(331\) | 2.93066 | − | 3.61906i | 0.161084 | − | 0.198922i | −0.690213 | − | 0.723606i | \(-0.742483\pi\) |
0.851297 | + | 0.524684i | \(0.175817\pi\) | |||||||
\(332\) | 1.35488 | − | 0.879871i | 0.0743588 | − | 0.0482892i | ||||
\(333\) | −13.8030 | − | 7.03299i | −0.756401 | − | 0.385405i | ||||
\(334\) | 3.48709 | − | 3.13979i | 0.190805 | − | 0.171802i | ||||
\(335\) | −27.3806 | + | 15.8082i | −1.49596 | + | 0.863693i | ||||
\(336\) | −11.1814 | − | 2.99605i | −0.609996 | − | 0.163448i | ||||
\(337\) | 6.19649 | − | 19.0708i | 0.337544 | − | 1.03885i | −0.627911 | − | 0.778285i | \(-0.716090\pi\) |
0.965455 | − | 0.260569i | \(-0.0839103\pi\) | |||||||
\(338\) | −13.8307 | − | 11.3005i | −0.752292 | − | 0.614667i | ||||
\(339\) | −8.17019 | − | 11.2453i | −0.443744 | − | 0.610761i | ||||
\(340\) | −0.0733774 | + | 0.273848i | −0.00397945 | + | 0.0148515i | ||||
\(341\) | 24.6696 | − | 14.3487i | 1.33593 | − | 0.777026i | ||||
\(342\) | −5.92456 | − | 3.42055i | −0.320364 | − | 0.184962i | ||||
\(343\) | −2.91331 | + | 18.3939i | −0.157304 | + | 0.993177i | ||||
\(344\) | 11.7427 | + | 4.50759i | 0.633122 | + | 0.243033i | ||||
\(345\) | 0.469559 | − | 8.95971i | 0.0252802 | − | 0.482375i | ||||
\(346\) | 13.4101 | + | 13.4101i | 0.720932 | + | 0.720932i | ||||
\(347\) | 22.0083 | + | 12.7065i | 1.18147 | + | 0.682119i | 0.956353 | − | 0.292213i | \(-0.0943918\pi\) |
0.225112 | + | 0.974333i | \(0.427725\pi\) | |||||||
\(348\) | 0.108557 | + | 0.510719i | 0.00581924 | + | 0.0273774i | ||||
\(349\) | −6.94668 | + | 0.364060i | −0.371847 | + | 0.0194877i | −0.237345 | − | 0.971426i | \(-0.576277\pi\) |
−0.134503 | + | 0.990913i | \(0.542944\pi\) | |||||||
\(350\) | −17.5321 | + | 5.69652i | −0.937129 | + | 0.304492i | ||||
\(351\) | −13.0382 | − | 14.5444i | −0.695930 | − | 0.776320i | ||||
\(352\) | 3.09812 | + | 1.00664i | 0.165130 | + | 0.0536541i | ||||
\(353\) | 4.11347 | + | 10.7160i | 0.218938 | + | 0.570353i | 0.998427 | − | 0.0560627i | \(-0.0178547\pi\) |
−0.779489 | + | 0.626415i | \(0.784521\pi\) | |||||||
\(354\) | −3.28932 | − | 0.345722i | −0.174826 | − | 0.0183749i | ||||
\(355\) | −5.11820 | + | 24.0792i | −0.271646 | + | 1.27799i | ||||
\(356\) | 0.0262027 | + | 0.165437i | 0.00138874 | + | 0.00876816i | ||||
\(357\) | −0.874447 | + | 2.27801i | −0.0462806 | + | 0.120565i | ||||
\(358\) | 2.54032 | − | 1.64970i | 0.134260 | − | 0.0871895i | ||||
\(359\) | −0.392714 | − | 2.47950i | −0.0207266 | − | 0.130863i | 0.975155 | − | 0.221522i | \(-0.0711025\pi\) |
−0.995882 | + | 0.0906594i | \(0.971103\pi\) | |||||||
\(360\) | 1.57372 | + | 14.9730i | 0.0829424 | + | 0.789145i | ||||
\(361\) | −2.01540 | − | 9.48173i | −0.106074 | − | 0.499038i | ||||
\(362\) | 22.2681 | − | 8.54793i | 1.17039 | − | 0.449269i | ||||
\(363\) | −5.51976 | − | 16.9881i | −0.289712 | − | 0.891643i | ||||
\(364\) | −0.164600 | − | 1.05418i | −0.00862738 | − | 0.0552538i | ||||
\(365\) | 15.3978 | + | 5.00306i | 0.805959 | + | 0.261872i | ||||
\(366\) | 12.4377 | + | 3.33267i | 0.650128 | + | 0.174201i | ||||
\(367\) | 8.04168 | − | 4.64286i | 0.419772 | − | 0.242355i | −0.275208 | − | 0.961385i | \(-0.588747\pi\) |
0.694980 | + | 0.719029i | \(0.255413\pi\) | |||||||
\(368\) | 6.07707 | + | 6.74927i | 0.316789 | + | 0.351830i | ||||
\(369\) | 11.4128 | − | 1.80761i | 0.594127 | − | 0.0941004i | ||||
\(370\) | −26.0789 | + | 32.2048i | −1.35578 | + | 1.67425i | ||||
\(371\) | 6.18115 | + | 23.0684i | 0.320909 | + | 1.19765i | ||||
\(372\) | −0.723044 | + | 0.116898i | −0.0374881 | + | 0.00606086i | ||||
\(373\) | −14.0012 | + | 24.2507i | −0.724952 | + | 1.25565i | 0.234041 | + | 0.972227i | \(0.424805\pi\) |
−0.958994 | + | 0.283428i | \(0.908528\pi\) | |||||||
\(374\) | −2.27160 | + | 5.10209i | −0.117462 | + | 0.263823i | ||||
\(375\) | −0.234569 | − | 0.289669i | −0.0121131 | − | 0.0149584i | ||||
\(376\) | 20.0649 | + | 6.51950i | 1.03477 | + | 0.336217i | ||||
\(377\) | 11.5960 | − | 8.38627i | 0.597225 | − | 0.431915i | ||||
\(378\) | 19.5807i | 1.00712i | ||||||||
\(379\) | −9.70801 | + | 14.9490i | −0.498667 | + | 0.767880i | −0.994960 | − | 0.100276i | \(-0.968028\pi\) |
0.496293 | + | 0.868155i | \(0.334694\pi\) | |||||||
\(380\) | 0.729716 | − | 0.810432i | 0.0374337 | − | 0.0415743i | ||||
\(381\) | −2.51276 | + | 11.8216i | −0.128733 | + | 0.605640i | ||||
\(382\) | −2.30295 | + | 14.5402i | −0.117829 | + | 0.743943i | ||||
\(383\) | −1.80313 | + | 34.4058i | −0.0921357 | + | 1.75805i | 0.427823 | + | 0.903862i | \(0.359281\pi\) |
−0.519959 | + | 0.854191i | \(0.674053\pi\) | |||||||
\(384\) | 9.33104 | + | 7.55613i | 0.476173 | + | 0.385597i | ||||
\(385\) | 42.3284 | − | 6.70416i | 2.15726 | − | 0.341676i | ||||
\(386\) | −5.71153 | − | 1.21402i | −0.290709 | − | 0.0617922i | ||||
\(387\) | 0.739434 | − | 7.03524i | 0.0375875 | − | 0.357621i | ||||
\(388\) | 0.192603 | − | 0.155967i | 0.00977793 | − | 0.00791801i | ||||
\(389\) | −0.674402 | − | 2.07560i | −0.0341935 | − | 0.105237i | 0.932503 | − | 0.361162i | \(-0.117620\pi\) |
−0.966697 | + | 0.255925i | \(0.917620\pi\) | |||||||
\(390\) | −15.9648 | + | 9.17076i | −0.808411 | + | 0.464380i | ||||
\(391\) | 1.54879 | − | 1.12526i | 0.0783257 | − | 0.0569070i | ||||
\(392\) | 0.124739 | − | 0.192081i | 0.00630026 | − | 0.00970155i | ||||
\(393\) | −3.78497 | + | 8.50118i | −0.190926 | + | 0.428828i | ||||
\(394\) | −2.24008 | − | 0.476145i | −0.112854 | − | 0.0239878i | ||||
\(395\) | 0.660516 | − | 1.29634i | 0.0332342 | − | 0.0652257i | ||||
\(396\) | 0.0492528 | − | 0.939799i | 0.00247505 | − | 0.0472267i | ||||
\(397\) | −10.9538 | + | 2.93507i | −0.549757 | + | 0.147307i | −0.522997 | − | 0.852335i | \(-0.675186\pi\) |
−0.0267609 | + | 0.999642i | \(0.508519\pi\) | |||||||
\(398\) | −4.72068 | + | 4.72068i | −0.236626 | + | 0.236626i | ||||
\(399\) | 6.97517 | − | 6.28047i | 0.349195 | − | 0.314417i | ||||
\(400\) | 19.0841 | + | 2.00582i | 0.954205 | + | 0.100291i | ||||
\(401\) | −14.6771 | + | 5.63403i | −0.732942 | + | 0.281350i | −0.696074 | − | 0.717970i | \(-0.745071\pi\) |
−0.0368679 | + | 0.999320i | \(0.511738\pi\) | |||||||
\(402\) | 15.9843 | 0.797224 | ||||||||
\(403\) | 10.9507 | + | 16.8251i | 0.545493 | + | 0.838116i | ||||
\(404\) | 1.36157 | 0.0677405 | ||||||||
\(405\) | −4.26945 | + | 1.63889i | −0.212151 | + | 0.0814370i | ||||
\(406\) | −14.2672 | − | 1.49954i | −0.708067 | − | 0.0744208i | ||||
\(407\) | 36.1524 | − | 32.5517i | 1.79201 | − | 1.61353i | ||||
\(408\) | 1.90345 | − | 1.90345i | 0.0942347 | − | 0.0942347i | ||||
\(409\) | 18.3760 | − | 4.92385i | 0.908637 | − | 0.243469i | 0.225915 | − | 0.974147i | \(-0.427463\pi\) |
0.682722 | + | 0.730678i | \(0.260796\pi\) | |||||||
\(410\) | 1.61769 | − | 30.8675i | 0.0798922 | − | 1.52443i | ||||
\(411\) | 9.05100 | − | 17.7636i | 0.446453 | − | 0.876214i | ||||
\(412\) | 1.70668 | + | 0.362767i | 0.0840822 | + | 0.0178722i | ||||
\(413\) | −2.20265 | + | 4.94722i | −0.108385 | + | 0.243437i | ||||
\(414\) | 2.94824 | − | 4.53989i | 0.144898 | − | 0.223123i | ||||
\(415\) | −36.9275 | + | 26.8294i | −1.81270 | + | 1.31700i | ||||
\(416\) | −0.597909 | + | 2.21204i | −0.0293149 | + | 0.108454i | ||||
\(417\) | 2.22480 | + | 6.84724i | 0.108949 | + | 0.335311i | ||||
\(418\) | 16.6954 | − | 13.5197i | 0.816601 | − | 0.661270i | ||||
\(419\) | 1.25243 | − | 11.9161i | 0.0611851 | − | 0.582137i | −0.920382 | − | 0.391020i | \(-0.872122\pi\) |
0.981567 | − | 0.191117i | \(-0.0612111\pi\) | |||||||
\(420\) | −1.07583 | − | 0.228676i | −0.0524953 | − | 0.0111582i | ||||
\(421\) | −8.56745 | + | 1.35695i | −0.417552 | + | 0.0661337i | −0.361676 | − | 0.932304i | \(-0.617795\pi\) |
−0.0558763 | + | 0.998438i | \(0.517795\pi\) | |||||||
\(422\) | −18.6617 | − | 15.1119i | −0.908435 | − | 0.735636i | ||||
\(423\) | 0.620985 | − | 11.8491i | 0.0301933 | − | 0.576123i | ||||
\(424\) | 4.12151 | − | 26.0222i | 0.200158 | − | 1.26375i | ||||
\(425\) | 0.840984 | − | 3.95652i | 0.0407937 | − | 0.191919i | ||||
\(426\) | 8.32780 | − | 9.24896i | 0.403483 | − | 0.448114i | ||||
\(427\) | 11.4827 | − | 17.6818i | 0.555686 | − | 0.855682i | ||||
\(428\) | − | 2.00921i | − | 0.0971189i | ||||||
\(429\) | 20.1952 | − | 7.70152i | 0.975032 | − | 0.371833i | ||||
\(430\) | −17.9968 | − | 5.84751i | −0.867882 | − | 0.281992i | ||||
\(431\) | 22.0074 | + | 27.1769i | 1.06006 | + | 1.30907i | 0.949008 | + | 0.315252i | \(0.102089\pi\) |
0.111053 | + | 0.993815i | \(0.464578\pi\) | |||||||
\(432\) | 8.29032 | − | 18.6204i | 0.398868 | − | 0.895873i | ||||
\(433\) | 2.67184 | − | 4.62777i | 0.128401 | − | 0.222396i | −0.794656 | − | 0.607059i | \(-0.792349\pi\) |
0.923057 | + | 0.384663i | \(0.125682\pi\) | |||||||
\(434\) | 3.08431 | − | 19.8862i | 0.148052 | − | 0.954568i | ||||
\(435\) | −3.81817 | − | 14.2496i | −0.183067 | − | 0.683217i | ||||
\(436\) | 0.198771 | − | 0.245462i | 0.00951941 | − | 0.0117555i | ||||
\(437\) | −7.27331 | + | 1.15198i | −0.347930 | + | 0.0551066i | ||||
\(438\) | −5.47703 | − | 6.08286i | −0.261703 | − | 0.290650i | ||||
\(439\) | −1.82073 | + | 1.05120i | −0.0868987 | + | 0.0501710i | −0.542820 | − | 0.839849i | \(-0.682643\pi\) |
0.455921 | + | 0.890020i | \(0.349310\pi\) | |||||||
\(440\) | −45.6675 | − | 12.2366i | −2.17711 | − | 0.583356i | ||||
\(441\) | −0.122504 | − | 0.0398038i | −0.00583350 | − | 0.00189542i | ||||
\(442\) | −3.66452 | − | 1.41589i | −0.174304 | − | 0.0673471i | ||||
\(443\) | −6.65340 | − | 20.4771i | −0.316113 | − | 0.972894i | −0.975294 | − | 0.220911i | \(-0.929097\pi\) |
0.659182 | − | 0.751984i | \(-0.270903\pi\) | |||||||
\(444\) | −1.16558 | + | 0.447426i | −0.0553162 | + | 0.0212339i | ||||
\(445\) | −0.983954 | − | 4.62914i | −0.0466439 | − | 0.219442i | ||||
\(446\) | 3.66312 | + | 34.8523i | 0.173454 | + | 1.65030i | ||||
\(447\) | 3.62044 | + | 22.8585i | 0.171241 | + | 1.08117i | ||||
\(448\) | 18.5289 | − | 12.0328i | 0.875407 | − | 0.568496i | ||||
\(449\) | −10.9103 | + | 28.4224i | −0.514890 | + | 1.34133i | 0.392000 | + | 0.919965i | \(0.371783\pi\) |
−0.906889 | + | 0.421369i | \(0.861550\pi\) | |||||||
\(450\) | −1.78921 | − | 11.2966i | −0.0843440 | − | 0.532527i | ||||
\(451\) | −7.54434 | + | 35.4933i | −0.355249 | + | 1.67131i | ||||
\(452\) | 1.32957 | + | 0.139743i | 0.0625375 | + | 0.00657296i | ||||
\(453\) | 0.000741361 | 0.00193131i | 3.48322e−5 | 9.07409e-5i | ||||||
\(454\) | −11.3418 | − | 3.68518i | −0.532298 | − | 0.172954i | ||||
\(455\) | 6.20308 | + | 29.5006i | 0.290805 | + | 1.38301i | ||||
\(456\) | −9.84780 | + | 3.19974i | −0.461166 | + | 0.149842i | ||||
\(457\) | 25.1030 | − | 1.31559i | 1.17427 | − | 0.0615409i | 0.544800 | − | 0.838566i | \(-0.316605\pi\) |
0.629470 | + | 0.777025i | \(0.283272\pi\) | |||||||
\(458\) | −6.28812 | − | 29.5833i | −0.293825 | − | 1.38234i | ||||
\(459\) | −3.72083 | − | 2.14822i | −0.173674 | − | 0.100271i | ||||
\(460\) | 0.610178 | + | 0.610178i | 0.0284497 | + | 0.0284497i | ||||
\(461\) | 1.57414 | − | 30.0364i | 0.0733150 | − | 1.39893i | −0.676089 | − | 0.736820i | \(-0.736326\pi\) |
0.749404 | − | 0.662113i | \(-0.230340\pi\) | |||||||
\(462\) | −20.2276 | − | 7.76466i | −0.941074 | − | 0.361245i | ||||
\(463\) | 5.83843 | − | 36.8624i | 0.271335 | − | 1.71314i | −0.356080 | − | 0.934455i | \(-0.615887\pi\) |
0.627415 | − | 0.778685i | \(-0.284113\pi\) | |||||||
\(464\) | 12.9325 | + | 7.46661i | 0.600378 | + | 0.346629i | ||||
\(465\) | 20.2281 | − | 4.36749i | 0.938058 | − | 0.202537i | ||||
\(466\) | −10.6826 | + | 39.8681i | −0.494863 | + | 1.84686i | ||||
\(467\) | 6.23866 | + | 8.58678i | 0.288691 | + | 0.397349i | 0.928588 | − | 0.371111i | \(-0.121023\pi\) |
−0.639897 | + | 0.768460i | \(0.721023\pi\) | |||||||
\(468\) | 0.661978 | + | 0.00144926i | 0.0305999 | + | 6.69922e-5i | ||||
\(469\) | 8.08751 | − | 24.8908i | 0.373446 | − | 1.14935i | ||||
\(470\) | −30.6584 | − | 8.21489i | −1.41417 | − | 0.378924i | ||||
\(471\) | −10.7325 | + | 6.19641i | −0.494527 | + | 0.285516i | ||||
\(472\) | 4.43973 | − | 3.99755i | 0.204355 | − | 0.184002i | ||||
\(473\) | 19.7932 | + | 10.0851i | 0.910091 | + | 0.463715i | ||||
\(474\) | −0.616892 | + | 0.400614i | −0.0283348 | + | 0.0184008i | ||||
\(475\) | −9.79170 | + | 12.0917i | −0.449274 | + | 0.554807i | ||||
\(476\) | −0.106545 | − | 0.209106i | −0.00488348 | − | 0.00958437i | ||||
\(477\) | −14.7363 | + | 1.54885i | −0.674728 | + | 0.0709168i | ||||
\(478\) | 0.120129 | − | 1.14295i | 0.00549459 | − | 0.0522775i | ||||
\(479\) | 5.40045 | − | 0.283026i | 0.246753 | − | 0.0129318i | 0.0714415 | − | 0.997445i | \(-0.477240\pi\) |
0.175311 | + | 0.984513i | \(0.443907\pi\) | |||||||
\(480\) | 1.91100 | + | 1.38842i | 0.0872249 | + | 0.0633726i | ||||
\(481\) | 24.1440 | + | 24.2499i | 1.10087 | + | 1.10570i | ||||
\(482\) | −14.2978 | + | 4.64563i | −0.651246 | + | 0.211603i | ||||
\(483\) | 4.67393 | + | 5.77182i | 0.212671 | + | 0.262627i | ||||
\(484\) | 1.56946 | + | 0.698768i | 0.0713391 | + | 0.0317622i | ||||
\(485\) | −5.20374 | + | 4.68547i | −0.236290 | + | 0.212756i | ||||
\(486\) | −19.7701 | − | 3.13128i | −0.896790 | − | 0.142038i | ||||
\(487\) | 4.82962 | + | 7.43696i | 0.218851 | + | 0.337001i | 0.930995 | − | 0.365033i | \(-0.118942\pi\) |
−0.712144 | + | 0.702034i | \(0.752276\pi\) | |||||||
\(488\) | −19.5064 | + | 12.6676i | −0.883015 | + | 0.573437i | ||||
\(489\) | 7.79436 | + | 15.2973i | 0.352473 | + | 0.691768i | ||||
\(490\) | −0.172281 | + | 0.298399i | −0.00778285 | + | 0.0134803i | ||||
\(491\) | 3.97341 | + | 6.88215i | 0.179317 | + | 0.310587i | 0.941647 | − | 0.336602i | \(-0.109278\pi\) |
−0.762330 | + | 0.647189i | \(0.775944\pi\) | |||||||
\(492\) | 0.507201 | − | 0.781021i | 0.0228664 | − | 0.0352111i | ||||
\(493\) | 1.85022 | − | 2.54661i | 0.0833298 | − | 0.114694i | ||||
\(494\) | 10.0870 | + | 11.2522i | 0.453835 | + | 0.506260i | ||||
\(495\) | 26.5897i | 1.19512i | ||||||||
\(496\) | −11.3527 | + | 17.6050i | −0.509752 | + | 0.790489i | ||||
\(497\) | −10.1889 | − | 17.6477i | −0.457036 | − | 0.791609i | ||||
\(498\) | 22.9503 | − | 2.41217i | 1.02843 | − | 0.108092i | ||||
\(499\) | 3.00986 | + | 19.0035i | 0.134740 | + | 0.850714i | 0.958773 | + | 0.284172i | \(0.0917188\pi\) |
−0.824033 | + | 0.566541i | \(0.808281\pi\) | |||||||
\(500\) | 0.0358002 | + | 0.00187621i | 0.00160103 | + | 8.39066e-5i | ||||
\(501\) | −3.85825 | + | 1.03382i | −0.172374 | + | 0.0461875i | ||||
\(502\) | 18.4097 | − | 18.4097i | 0.821663 | − | 0.821663i | ||||
\(503\) | −11.4807 | − | 12.7506i | −0.511900 | − | 0.568522i | 0.430679 | − | 0.902505i | \(-0.358274\pi\) |
−0.942579 | + | 0.333983i | \(0.891607\pi\) | |||||||
\(504\) | −9.26163 | − | 8.33921i | −0.412546 | − | 0.371458i | ||||
\(505\) | −38.4172 | + | 2.01336i | −1.70954 | + | 0.0895933i | ||||
\(506\) | 9.99177 | + | 13.7525i | 0.444189 | + | 0.611373i | ||||
\(507\) | 6.12298 | + | 13.9161i | 0.271931 | + | 0.618036i | ||||
\(508\) | −0.683240 | − | 0.940399i | −0.0303139 | − | 0.0417234i | ||||
\(509\) | 33.4846 | − | 27.1153i | 1.48418 | − | 1.20187i | 0.555212 | − | 0.831709i | \(-0.312637\pi\) |
0.928969 | − | 0.370157i | \(-0.120696\pi\) | |||||||
\(510\) | −2.70982 | + | 3.00956i | −0.119993 | + | 0.133266i | ||||
\(511\) | −12.2435 | + | 5.45114i | −0.541618 | + | 0.241144i | ||||
\(512\) | −23.9317 | + | 3.79041i | −1.05764 | + | 0.167514i | ||||
\(513\) | 9.00110 | + | 13.8605i | 0.397408 | + | 0.611955i | ||||
\(514\) | −27.4617 | − | 10.5415i | −1.21128 | − | 0.464968i | ||||
\(515\) | −48.6912 | − | 7.71193i | −2.14559 | − | 0.339828i | ||||
\(516\) | −0.381482 | − | 0.423679i | −0.0167938 | − | 0.0186514i | ||||
\(517\) | 34.0393 | + | 15.1553i | 1.49705 | + | 0.666529i | ||||
\(518\) | −1.79530 | − | 34.2564i | −0.0788811 | − | 1.50514i | ||||
\(519\) | −4.98869 | − | 15.3536i | −0.218979 | − | 0.673949i | ||||
\(520\) | 6.98562 | − | 32.5146i | 0.306340 | − | 1.42586i | ||||
\(521\) | 4.32967 | 0.189686 | 0.0948432 | − | 0.995492i | \(-0.469765\pi\) | ||||
0.0948432 | + | 0.995492i | \(0.469765\pi\) | |||||||
\(522\) | 2.30367 | − | 8.59741i | 0.100829 | − | 0.376298i | ||||
\(523\) | 1.00777 | + | 4.74120i | 0.0440668 | + | 0.207318i | 0.994673 | − | 0.103082i | \(-0.0328704\pi\) |
−0.950606 | + | 0.310400i | \(0.899537\pi\) | |||||||
\(524\) | −0.364036 | − | 0.817638i | −0.0159030 | − | 0.0357187i | ||||
\(525\) | 15.4990 | + | 2.45480i | 0.676432 | + | 0.107136i | ||||
\(526\) | 32.2416 | − | 8.63911i | 1.40580 | − | 0.376683i | ||||
\(527\) | 3.44051 | + | 2.76784i | 0.149871 | + | 0.120569i | ||||
\(528\) | 15.9481 | + | 15.9481i | 0.694051 | + | 0.694051i | ||||
\(529\) | 1.79507 | + | 17.0790i | 0.0780467 | + | 0.742564i | ||||
\(530\) | −4.14317 | + | 39.4196i | −0.179968 | + | 1.71228i | ||||
\(531\) | −2.81789 | − | 1.82996i | −0.122286 | − | 0.0794134i | ||||
\(532\) | 0.902742i | 0.0391388i | ||||||||
\(533\) | −25.2014 | − | 4.04808i | −1.09159 | − | 0.175342i | ||||
\(534\) | −0.739366 | + | 2.27554i | −0.0319955 | + | 0.0984720i | ||||
\(535\) | 2.97104 | + | 56.6907i | 0.128449 | + | 2.45095i | ||||
\(536\) | −19.3194 | + | 21.4564i | −0.834473 | + | 0.926776i | ||||
\(537\) | −2.56430 | + | 0.269518i | −0.110658 | + | 0.0116306i | ||||
\(538\) | 19.0720 | − | 9.71766i | 0.822252 | − | 0.418958i | ||||
\(539\) | 0.254556 | − | 0.314351i | 0.0109645 | − | 0.0135401i | ||||
\(540\) | 0.694026 | − | 1.80800i | 0.0298661 | − | 0.0778039i | ||||
\(541\) | 19.9917 | − | 39.2359i | 0.859510 | − | 1.68688i | 0.142528 | − | 0.989791i | \(-0.454477\pi\) |
0.716982 | − | 0.697092i | \(-0.245523\pi\) | |||||||
\(542\) | −12.9638 | − | 29.1172i | −0.556844 | − | 1.25069i | ||||
\(543\) | −20.1931 | − | 2.12238i | −0.866569 | − | 0.0910801i | ||||
\(544\) | 0.0263784 | + | 0.503330i | 0.00113097 | + | 0.0215801i | ||||
\(545\) | −5.24544 | + | 7.21973i | −0.224690 | + | 0.309259i | ||||
\(546\) | 4.74138 | − | 14.4845i | 0.202912 | − | 0.619879i | ||||
\(547\) | 8.76497 | − | 26.9758i | 0.374763 | − | 1.15340i | −0.568875 | − | 0.822424i | \(-0.692621\pi\) |
0.943638 | − | 0.330978i | \(-0.107379\pi\) | |||||||
\(548\) | 0.687165 | + | 1.79013i | 0.0293542 | + | 0.0764704i | ||||
\(549\) | 9.72097 | + | 8.75280i | 0.414881 | + | 0.373560i | ||||
\(550\) | 35.1320 | + | 7.46753i | 1.49803 | + | 0.318416i | ||||
\(551\) | −10.7885 | + | 5.49704i | −0.459608 | + | 0.234182i | ||||
\(552\) | −2.12059 | − | 7.91417i | −0.0902585 | − | 0.336849i | ||||
\(553\) | 0.311712 | + | 1.16332i | 0.0132553 | + | 0.0494696i | ||||
\(554\) | −6.56420 | − | 12.8830i | −0.278886 | − | 0.547344i | ||||
\(555\) | 32.2259 | − | 14.3479i | 1.36791 | − | 0.609033i | ||||
\(556\) | −0.632588 | − | 0.281646i | −0.0268277 | − | 0.0119445i | ||||
\(557\) | 19.1733 | + | 5.13747i | 0.812399 | + | 0.217682i | 0.641021 | − | 0.767524i | \(-0.278511\pi\) |
0.171378 | + | 0.985205i | \(0.445178\pi\) | |||||||
\(558\) | 11.8870 | + | 3.82020i | 0.503215 | + | 0.161722i | ||||
\(559\) | −6.38691 | + | 14.2611i | −0.270137 | + | 0.603181i | ||||
\(560\) | −25.4492 | + | 18.4899i | −1.07543 | + | 0.781343i | ||||
\(561\) | 3.69469 | − | 2.99190i | 0.155990 | − | 0.126318i | ||||
\(562\) | 11.6930 | − | 2.48542i | 0.493239 | − | 0.104841i | ||||
\(563\) | −1.46219 | − | 0.844199i | −0.0616242 | − | 0.0355787i | 0.468871 | − | 0.883266i | \(-0.344661\pi\) |
−0.530496 | + | 0.847688i | \(0.677994\pi\) | |||||||
\(564\) | −0.676184 | − | 0.676184i | −0.0284725 | − | 0.0284725i | ||||
\(565\) | −37.7209 | − | 1.97687i | −1.58693 | − | 0.0831675i | ||||
\(566\) | −8.57362 | − | 13.2022i | −0.360376 | − | 0.554930i | ||||
\(567\) | 1.71865 | − | 3.37304i | 0.0721765 | − | 0.141654i | ||||
\(568\) | 2.34987 | + | 22.3576i | 0.0985985 | + | 0.938102i | ||||
\(569\) | 18.8715 | − | 4.01127i | 0.791136 | − | 0.168161i | 0.205416 | − | 0.978675i | \(-0.434145\pi\) |
0.585720 | + | 0.810514i | \(0.300812\pi\) | |||||||
\(570\) | 14.5431 | − | 5.58259i | 0.609145 | − | 0.233829i | ||||
\(571\) | −24.0950 | − | 17.5061i | −1.00835 | − | 0.732606i | −0.0444840 | − | 0.999010i | \(-0.514164\pi\) |
−0.963861 | + | 0.266404i | \(0.914164\pi\) | |||||||
\(572\) | −0.749225 | + | 1.93910i | −0.0313267 | + | 0.0810778i | ||||
\(573\) | 7.36592 | − | 10.1383i | 0.307716 | − | 0.423535i | ||||
\(574\) | 16.1023 | + | 19.8847i | 0.672098 | + | 0.829972i | ||||
\(575\) | −9.14931 | − | 8.23807i | −0.381552 | − | 0.343551i | ||||
\(576\) | 5.57535 | + | 12.5224i | 0.232306 | + | 0.521768i | ||||
\(577\) | 3.91389 | − | 24.7114i | 0.162938 | − | 1.02875i | −0.761709 | − | 0.647920i | \(-0.775639\pi\) |
0.924646 | − | 0.380827i | \(-0.124361\pi\) | |||||||
\(578\) | 22.4608 | + | 1.17712i | 0.934248 | + | 0.0489618i | ||||
\(579\) | 3.86285 | + | 3.12807i | 0.160535 | + | 0.129998i | ||||
\(580\) | 1.26422 | + | 0.644152i | 0.0524939 | + | 0.0267470i | ||||
\(581\) | 7.85582 | − | 36.9587i | 0.325915 | − | 1.53331i | ||||
\(582\) | 3.46280 | − | 0.736042i | 0.143538 | − | 0.0305099i | ||||
\(583\) | 12.0431 | − | 44.9456i | 0.498776 | − | 1.86146i | ||||
\(584\) | 14.7851 | 0.611813 | ||||||||
\(585\) | −18.6801 | + | 0.937980i | −0.772328 | + | 0.0387807i | ||||
\(586\) | −8.24218 | − | 5.98829i | −0.340481 | − | 0.247374i | ||||
\(587\) | −12.8894 | − | 33.5782i | −0.532004 | − | 1.38592i | −0.891606 | − | 0.452813i | \(-0.850421\pi\) |
0.359601 | − | 0.933106i | \(-0.382913\pi\) | |||||||
\(588\) | −0.00899025 | + | 0.00519052i | −0.000370752 | + | 0.000214054i | ||||
\(589\) | −6.95827 | − | 15.4946i | −0.286711 | − | 0.638443i | ||||
\(590\) | −6.35538 | + | 6.35538i | −0.261647 | + | 0.261647i | ||||
\(591\) | 1.51502 | + | 1.22684i | 0.0623198 | + | 0.0504655i | ||||
\(592\) | −12.7967 | + | 33.3365i | −0.525940 | + | 1.37012i | ||||
\(593\) | −9.26508 | + | 4.72079i | −0.380471 | + | 0.193860i | −0.633758 | − | 0.773532i | \(-0.718488\pi\) |
0.253287 | + | 0.967391i | \(0.418488\pi\) | |||||||
\(594\) | 19.0752 | − | 33.0392i | 0.782664 | − | 1.35561i | ||||
\(595\) | 3.31542 | + | 5.74248i | 0.135919 | + | 0.235419i | ||||
\(596\) | −1.86682 | − | 1.21233i | −0.0764678 | − | 0.0496588i | ||||
\(597\) | 5.40484 | − | 1.75614i | 0.221205 | − | 0.0718740i | ||||
\(598\) | −9.30911 | + | 7.50469i | −0.380678 | + | 0.306889i | ||||
\(599\) | 16.1923 | − | 11.7644i | 0.661598 | − | 0.480679i | −0.205604 | − | 0.978635i | \(-0.565916\pi\) |
0.867202 | + | 0.497956i | \(0.165916\pi\) | |||||||
\(600\) | −14.5187 | − | 9.42853i | −0.592722 | − | 0.384918i | ||||
\(601\) | −17.1004 | + | 38.4081i | −0.697539 | + | 1.56670i | 0.121261 | + | 0.992621i | \(0.461306\pi\) |
−0.818801 | + | 0.574078i | \(0.805361\pi\) | |||||||
\(602\) | 14.3100 | − | 6.37122i | 0.583232 | − | 0.259671i | ||||
\(603\) | 14.4682 | + | 7.37191i | 0.589190 | + | 0.300207i | ||||
\(604\) | −0.000185752 | 0 | 7.13036e-5i | −7.55815e−6 | 0 | 2.90130e-6i | ||||
\(605\) | −45.3163 | − | 17.3953i | −1.84237 | − | 0.707219i | ||||
\(606\) | 17.3294 | + | 8.82976i | 0.703958 | + | 0.358685i | ||||
\(607\) | −16.5356 | + | 7.36213i | −0.671160 | + | 0.298820i | −0.713881 | − | 0.700268i | \(-0.753064\pi\) |
0.0427209 | + | 0.999087i | \(0.486397\pi\) | |||||||
\(608\) | 0.788568 | − | 1.77115i | 0.0319807 | − | 0.0718297i | ||||
\(609\) | 10.2417 | + | 6.65103i | 0.415014 | + | 0.269513i | ||||
\(610\) | 28.3086 | − | 20.5674i | 1.14618 | − | 0.832749i | ||||
\(611\) | −9.44632 | + | 24.4484i | −0.382157 | + | 0.989076i | ||||
\(612\) | 0.138482 | − | 0.0449956i | 0.00559781 | − | 0.00181884i | ||||
\(613\) | −23.8992 | − | 15.5203i | −0.965278 | − | 0.626859i | −0.0372252 | − | 0.999307i | \(-0.511852\pi\) |
−0.928053 | + | 0.372448i | \(0.878519\pi\) | |||||||
\(614\) | 14.9357 | + | 25.8694i | 0.602757 | + | 1.04401i | ||||
\(615\) | −13.1560 | + | 22.7868i | −0.530500 | + | 0.918854i | ||||
\(616\) | 34.8710 | − | 17.7677i | 1.40499 | − | 0.715880i | ||||
\(617\) | 17.0120 | − | 44.3179i | 0.684879 | − | 1.78417i | 0.0671998 | − | 0.997740i | \(-0.478594\pi\) |
0.617679 | − | 0.786430i | \(-0.288073\pi\) | |||||||
\(618\) | 19.3693 | + | 15.6850i | 0.779149 | + | 0.630942i | ||||
\(619\) | −18.7439 | + | 18.7439i | −0.753379 | + | 0.753379i | −0.975108 | − | 0.221729i | \(-0.928830\pi\) |
0.221729 | + | 0.975108i | \(0.428830\pi\) | |||||||
\(620\) | −0.989647 | + | 1.72689i | −0.0397452 | + | 0.0693535i | ||||
\(621\) | −11.3252 | + | 6.53861i | −0.454465 | + | 0.262385i | ||||
\(622\) | −6.62374 | − | 17.2554i | −0.265588 | − | 0.691880i | ||||
\(623\) | 3.16938 | + | 2.30269i | 0.126978 | + | 0.0922552i | ||||
\(624\) | −10.6415 | + | 11.7666i | −0.426000 | + | 0.471043i | ||||
\(625\) | 24.4885 | 0.979541 | ||||||||
\(626\) | −12.0974 | + | 45.1483i | −0.483511 | + | 1.80449i | ||||
\(627\) | −17.8878 | + | 3.80217i | −0.714370 | + | 0.151844i | ||||
\(628\) | 0.247817 | − | 1.16589i | 0.00988898 | − | 0.0465240i | ||||
\(629\) | 6.70657 | + | 3.41717i | 0.267409 | + | 0.136251i | ||||
\(630\) | 14.5710 | + | 11.7994i | 0.580524 | + | 0.470099i | ||||
\(631\) | −12.7069 | − | 0.665942i | −0.505855 | − | 0.0265107i | −0.202298 | − | 0.979324i | \(-0.564841\pi\) |
−0.303557 | + | 0.952813i | \(0.598174\pi\) | |||||||
\(632\) | 0.207846 | − | 1.31229i | 0.00826765 | − | 0.0521999i | ||||
\(633\) | 8.31415 | + | 18.6739i | 0.330458 | + | 0.742220i | ||||
\(634\) | 16.9516 | + | 15.2633i | 0.673235 | + | 0.606184i | ||||
\(635\) | 20.6685 | + | 25.5234i | 0.820204 | + | 1.01287i | ||||
\(636\) | −0.701926 | + | 0.966118i | −0.0278332 | + | 0.0383091i | ||||
\(637\) | 0.229822 | + | 0.167745i | 0.00910587 | + | 0.00664631i | ||||
\(638\) | 22.6127 | + | 16.4291i | 0.895243 | + | 0.650432i | ||||
\(639\) | 11.8035 | − | 4.53094i | 0.466940 | − | 0.179241i | ||||
\(640\) | 31.9151 | − | 6.78376i | 1.26156 | − | 0.268152i | ||||
\(641\) | −0.224234 | − | 2.13344i | −0.00885671 | − | 0.0842659i | 0.989201 | − | 0.146568i | \(-0.0468226\pi\) |
−0.998057 | + | 0.0623017i | \(0.980156\pi\) | |||||||
\(642\) | 13.0297 | − | 25.5723i | 0.514243 | − | 1.00926i | ||||
\(643\) | 0.377288 | + | 0.580973i | 0.0148788 | + | 0.0229113i | 0.846032 | − | 0.533133i | \(-0.178985\pi\) |
−0.831153 | + | 0.556044i | \(0.812319\pi\) | |||||||
\(644\) | −0.713340 | − | 0.0373846i | −0.0281095 | − | 0.00147316i | ||||
\(645\) | 11.3902 | + | 11.3902i | 0.448488 | + | 0.448488i | ||||
\(646\) | 2.87861 | + | 1.66197i | 0.113257 | + | 0.0653892i | ||||
\(647\) | −9.01959 | + | 1.91717i | −0.354597 | + | 0.0753719i | −0.381766 | − | 0.924259i | \(-0.624684\pi\) |
0.0271693 | + | 0.999631i | \(0.491351\pi\) | |||||||
\(648\) | −3.24560 | + | 2.62823i | −0.127499 | + | 0.103247i | ||||
\(649\) | 8.53611 | − | 6.20185i | 0.335072 | − | 0.243444i | ||||
\(650\) | −4.00687 | + | 24.9448i | −0.157162 | + | 0.978415i | ||||
\(651\) | −10.0246 | + | 13.8911i | −0.392893 | + | 0.544435i | ||||
\(652\) | −1.59500 | − | 0.427378i | −0.0624649 | − | 0.0167374i | ||||
\(653\) | 33.3244 | + | 14.8370i | 1.30409 | + | 0.580617i | 0.936922 | − | 0.349539i | \(-0.113662\pi\) |
0.367165 | + | 0.930156i | \(0.380329\pi\) | |||||||
\(654\) | 4.12169 | − | 1.83509i | 0.161171 | − | 0.0717578i | ||||
\(655\) | 11.4805 | + | 22.5317i | 0.448579 | + | 0.880386i | ||||
\(656\) | −6.89356 | − | 25.7271i | −0.269148 | − | 1.00447i | ||||
\(657\) | −2.15214 | − | 8.03190i | −0.0839631 | − | 0.313354i | ||||
\(658\) | 23.4103 | − | 11.9281i | 0.912628 | − | 0.465007i | ||||
\(659\) | −40.8467 | − | 8.68223i | −1.59116 | − | 0.338212i | −0.674624 | − | 0.738161i | \(-0.735694\pi\) |
−0.916537 | + | 0.399950i | \(0.869028\pi\) | |||||||
\(660\) | 1.59252 | + | 1.43391i | 0.0619888 | + | 0.0558150i | ||||
\(661\) | −9.56992 | − | 24.9305i | −0.372227 | − | 0.969683i | −0.983923 | − | 0.178591i | \(-0.942846\pi\) |
0.611697 | − | 0.791092i | \(-0.290487\pi\) | |||||||
\(662\) | −1.97707 | + | 6.08479i | −0.0768409 | + | 0.236492i | ||||
\(663\) | 2.23224 | + | 2.49010i | 0.0866931 | + | 0.0967074i | ||||
\(664\) | −24.5010 | + | 33.7227i | −0.950821 | + | 1.30869i | ||||
\(665\) | −1.33489 | − | 25.4712i | −0.0517649 | − | 0.987733i | ||||
\(666\) | 21.1667 | + | 2.22471i | 0.820193 | + | 0.0862057i | ||||
\(667\) | −3.89694 | − | 8.75268i | −0.150890 | − | 0.338905i | ||||
\(668\) | 0.174412 | − | 0.342302i | 0.00674820 | − | 0.0132441i | ||||
\(669\) | 10.6906 | − | 27.8500i | 0.413324 | − | 1.07674i | ||||
\(670\) | 27.3356 | − | 33.7567i | 1.05607 | − | 1.30414i | ||||
\(671\) | −36.6005 | + | 18.6489i | −1.41295 | + | 0.719932i | ||||
\(672\) | −1.94463 | + | 0.204389i | −0.0750159 | + | 0.00788449i | ||||
\(673\) | −27.6773 | + | 30.7387i | −1.06688 | + | 1.18489i | −0.0848062 | + | 0.996397i | \(0.527027\pi\) |
−0.982074 | + | 0.188493i | \(0.939640\pi\) | |||||||
\(674\) | 1.44181 | + | 27.5114i | 0.0555366 | + | 1.05970i | ||||
\(675\) | −8.53831 | + | 26.2782i | −0.328640 | + | 1.01145i | ||||
\(676\) | −1.38871 | − | 0.457952i | −0.0534119 | − | 0.0176135i | ||||
\(677\) | − | 7.27353i | − | 0.279545i | −0.990184 | − | 0.139772i | \(-0.955363\pi\) | ||
0.990184 | − | 0.139772i | \(-0.0446371\pi\) | |||||||
\(678\) | 16.0159 | + | 10.4008i | 0.615086 | + | 0.399441i | ||||
\(679\) | 0.605895 | − | 5.76470i | 0.0232521 | − | 0.221229i | ||||
\(680\) | −0.764636 | − | 7.27502i | −0.0293224 | − | 0.278984i | ||||
\(681\) | 7.17825 | + | 7.17825i | 0.275071 | + | 0.275071i | ||||
\(682\) | −24.5771 | + | 30.5500i | −0.941105 | + | 1.16982i | ||||
\(683\) | 11.4977 | − | 3.08079i | 0.439946 | − | 0.117883i | −0.0320451 | − | 0.999486i | \(-0.510202\pi\) |
0.471991 | + | 0.881603i | \(0.343535\pi\) | |||||||
\(684\) | −0.553203 | − | 0.0876187i | −0.0211522 | − | 0.00335019i | ||||
\(685\) | −22.0357 | − | 49.4931i | −0.841942 | − | 1.89103i | ||||
\(686\) | −5.31959 | − | 25.0267i | −0.203103 | − | 0.955524i | ||||
\(687\) | −6.66339 | + | 24.8681i | −0.254224 | + | 0.948777i | ||||
\(688\) | −16.3057 | −0.621649 | ||||||||
\(689\) | 32.0006 | + | 6.87520i | 1.21913 | + | 0.261924i | ||||
\(690\) | 3.80906 | + | 11.7231i | 0.145008 | + | 0.446290i | ||||
\(691\) | −1.74153 | − | 33.2304i | −0.0662511 | − | 1.26415i | −0.806265 | − | 0.591554i | \(-0.798515\pi\) |
0.740014 | − | 0.672591i | \(-0.234819\pi\) | |||||||
\(692\) | 1.41846 | + | 0.631538i | 0.0539217 | + | 0.0240075i | ||||
\(693\) | −14.7280 | − | 16.3571i | −0.559471 | − | 0.621356i | ||||
\(694\) | −34.4842 | − | 5.46177i | −1.30900 | − | 0.207326i | ||||
\(695\) | 18.2652 | + | 7.01136i | 0.692839 | + | 0.265956i | ||||
\(696\) | −7.33737 | − | 11.2986i | −0.278122 | − | 0.428270i | ||||
\(697\) | −5.54522 | + | 0.878276i | −0.210040 | + | 0.0332671i | ||||
\(698\) | 8.73069 | − | 3.88715i | 0.330461 | − | 0.147131i | ||||
\(699\) | 23.5099 | − | 26.1103i | 0.889224 | − | 0.987584i | ||||
\(700\) | −1.17292 | + | 0.949812i | −0.0443322 | + | 0.0358995i | ||||
\(701\) | 6.86034 | + | 9.44245i | 0.259112 | + | 0.356636i | 0.918676 | − | 0.395011i | \(-0.129259\pi\) |
−0.659565 | + | 0.751648i | \(0.729259\pi\) | |||||||
\(702\) | 23.8840 | + | 12.2354i | 0.901444 | + | 0.461797i | ||||
\(703\) | −17.0183 | − | 23.4236i | −0.641856 | − | 0.883440i | ||||
\(704\) | −42.9866 | + | 2.25283i | −1.62012 | + | 0.0849068i | ||||
\(705\) | 20.0787 | + | 18.0789i | 0.756208 | + | 0.680893i | ||||
\(706\) | −10.5520 | − | 11.7192i | −0.397130 | − | 0.441058i | ||||
\(707\) | 22.5178 | − | 22.5178i | 0.846870 | − | 0.846870i | ||||
\(708\) | −0.261562 | + | 0.0700854i | −0.00983011 | + | 0.00263397i | ||||
\(709\) | 8.59906 | + | 0.450658i | 0.322945 | + | 0.0169248i | 0.213120 | − | 0.977026i | \(-0.431638\pi\) |
0.109825 | + | 0.993951i | \(0.464971\pi\) | |||||||
\(710\) | −5.29074 | − | 33.4044i | −0.198558 | − | 1.25364i | ||||
\(711\) | −0.743143 | + | 0.0781074i | −0.0278700 | + | 0.00292926i | ||||
\(712\) | −2.16092 | − | 3.74282i | −0.0809837 | − | 0.140268i | ||||
\(713\) | 12.5319 | − | 4.85671i | 0.469322 | − | 0.181885i | ||||
\(714\) | − | 3.35235i | − | 0.125459i | ||||||
\(715\) | 18.2723 | − | 55.8204i | 0.683347 | − | 2.08756i | ||||
\(716\) | 0.145765 | − | 0.200629i | 0.00544751 | − | 0.00749786i | ||||
\(717\) | −0.532819 | + | 0.820470i | −0.0198985 | + | 0.0306410i | ||||
\(718\) | 1.72448 | + | 2.98689i | 0.0643572 | + | 0.111470i | ||||
\(719\) | 2.24504 | − | 3.88852i | 0.0837257 | − | 0.145017i | −0.821122 | − | 0.570753i | \(-0.806651\pi\) |
0.904848 | + | 0.425736i | \(0.139985\pi\) | |||||||
\(720\) | −8.86063 | − | 17.3900i | −0.330216 | − | 0.648086i | ||||
\(721\) | 34.2249 | − | 22.2259i | 1.27460 | − | 0.827737i | ||||
\(722\) | 7.25333 | + | 11.1691i | 0.269941 | + | 0.415673i | ||||
\(723\) | 12.6398 | + | 2.00194i | 0.470078 | + | 0.0744530i | ||||
\(724\) | 1.45126 | − | 1.30672i | 0.0539355 | − | 0.0485638i | ||||
\(725\) | −18.4933 | − | 8.23375i | −0.686824 | − | 0.305794i | ||||
\(726\) | 15.4438 | + | 19.0716i | 0.573175 | + | 0.707812i | ||||
\(727\) | −48.4966 | + | 15.7575i | −1.79864 | + | 0.584414i | −0.999852 | − | 0.0171977i | \(-0.994526\pi\) |
−0.798789 | + | 0.601612i | \(0.794526\pi\) | |||||||
\(728\) | 13.7125 | + | 23.8713i | 0.508219 | + | 0.884728i | ||||
\(729\) | 17.2774 | + | 12.5527i | 0.639902 | + | 0.464916i | ||||
\(730\) | −22.2128 | + | 1.16412i | −0.822132 | + | 0.0430861i | ||||
\(731\) | −0.359274 | + | 3.41826i | −0.0132882 | + | 0.126429i | ||||
\(732\) | 1.04845 | − | 0.110197i | 0.0387520 | − | 0.00407300i | ||||
\(733\) | 12.8098 | + | 25.1407i | 0.473142 | + | 0.928594i | 0.997045 | + | 0.0768158i | \(0.0244754\pi\) |
−0.523903 | + | 0.851778i | \(0.675525\pi\) | |||||||
\(734\) | −8.02848 | + | 9.91434i | −0.296337 | + | 0.365945i | ||||
\(735\) | 0.245989 | − | 0.159747i | 0.00907342 | − | 0.00589235i | ||||
\(736\) | 1.36690 | + | 0.696468i | 0.0503844 | + | 0.0256722i | ||||
\(737\) | −37.8945 | + | 34.1204i | −1.39586 | + | 1.25684i | ||||
\(738\) | −13.7483 | + | 7.93757i | −0.506081 | + | 0.292186i | ||||
\(739\) | 22.4000 | + | 6.00207i | 0.823999 | + | 0.220790i | 0.646094 | − | 0.763258i | \(-0.276401\pi\) |
0.177905 | + | 0.984048i | \(0.443068\pi\) | |||||||
\(740\) | −1.04843 | + | 3.22673i | −0.0385410 | + | 0.118617i | ||||
\(741\) | −3.30216 | − | 12.4326i | −0.121308 | − | 0.456725i | ||||
\(742\) | −19.2858 | − | 26.5446i | −0.708003 | − | 0.974482i | ||||
\(743\) | −5.98881 | + | 22.3505i | −0.219708 | + | 0.819962i | 0.764748 | + | 0.644330i | \(0.222864\pi\) |
−0.984456 | + | 0.175632i | \(0.943803\pi\) | |||||||
\(744\) | 16.3360 | − | 9.50158i | 0.598906 | − | 0.348345i | ||||
\(745\) | 54.4657 | + | 31.4458i | 1.99547 | + | 1.15209i | ||||
\(746\) | 6.01827 | − | 37.9979i | 0.220345 | − | 1.39120i | ||||
\(747\) | 21.8860 | + | 8.40123i | 0.800765 | + | 0.307385i | ||||
\(748\) | −0.0239308 | + | 0.456627i | −0.000874997 | + | 0.0166959i | ||||
\(749\) | −33.2287 | − | 33.2287i | −1.21415 | − | 1.21415i | ||||
\(750\) | 0.443481 | + | 0.256044i | 0.0161936 | + | 0.00934940i | ||||
\(751\) | 2.94831 | + | 13.8707i | 0.107585 | + | 0.506149i | 0.998634 | + | 0.0522423i | \(0.0166368\pi\) |
−0.891049 | + | 0.453907i | \(0.850030\pi\) | |||||||
\(752\) | −27.3124 | + | 1.43138i | −0.995982 | + | 0.0521972i | ||||
\(753\) | −21.0777 | + | 6.84857i | −0.768115 | + | 0.249576i | ||||
\(754\) | −10.7443 | + | 16.4657i | −0.391283 | + | 0.599645i | ||||
\(755\) | 0.00534652 | + | 0.00173719i | 0.000194580 | + | 6.32228e-5i | ||||
\(756\) | 0.574508 | + | 1.49664i | 0.0208946 | + | 0.0544324i | ||||
\(757\) | −35.0938 | − | 3.68851i | −1.27551 | − | 0.134061i | −0.557546 | − | 0.830146i | \(-0.688257\pi\) |
−0.717960 | + | 0.696085i | \(0.754924\pi\) | |||||||
\(758\) | 5.09150 | − | 23.9536i | 0.184932 | − | 0.870035i | ||||
\(759\) | −2.26367 | − | 14.2923i | −0.0821661 | − | 0.518776i | ||||
\(760\) | −10.0839 | + | 26.2693i | −0.365780 | + | 0.952889i | ||||
\(761\) | 13.8066 | − | 8.96611i | 0.500489 | − | 0.325021i | −0.269584 | − | 0.962977i | \(-0.586886\pi\) |
0.770073 | + | 0.637955i | \(0.220220\pi\) | |||||||
\(762\) | −2.59747 | − | 16.3998i | −0.0940964 | − | 0.594101i | ||||
\(763\) | −0.772180 | − | 7.34680i | −0.0279548 | − | 0.265972i | ||||
\(764\) | 0.250593 | + | 1.17895i | 0.00906615 | + | 0.0426529i | ||||
\(765\) | −3.84080 | + | 1.47434i | −0.138864 | + | 0.0533050i | ||||
\(766\) | −14.6270 | − | 45.0172i | −0.528495 | − | 1.62654i | ||||
\(767\) | 4.65812 | + | 5.77812i | 0.168195 | + | 0.208636i | ||||
\(768\) | 2.99297 | + | 0.972476i | 0.108000 | + | 0.0350912i | ||||
\(769\) | 29.1160 | + | 7.80160i | 1.04995 | + | 0.281333i | 0.742231 | − | 0.670145i | \(-0.233768\pi\) |
0.307718 | + | 0.951478i | \(0.400435\pi\) | |||||||
\(770\) | −50.9904 | + | 29.4393i | −1.83757 | + | 1.06092i | ||||
\(771\) | 16.7550 | + | 18.6083i | 0.603415 | + | 0.670160i | ||||
\(772\) | −0.472179 | + | 0.0747859i | −0.0169941 | + | 0.00269160i | ||||
\(773\) | 18.4353 | − | 22.7657i | 0.663073 | − | 0.818827i | −0.329021 | − | 0.944322i | \(-0.606719\pi\) |
0.992094 | + | 0.125496i | \(0.0400521\pi\) | |||||||
\(774\) | 2.51540 | + | 9.38759i | 0.0904140 | + | 0.337430i | ||||
\(775\) | 12.8108 | − | 25.3433i | 0.460178 | − | 0.910358i | ||||
\(776\) | −3.19731 | + | 5.53790i | −0.114777 | + | 0.198799i | ||||
\(777\) | −11.8770 | + | 26.6763i | −0.426086 | + | 0.957005i | ||||
\(778\) | 1.88692 | + | 2.33015i | 0.0676494 | + | 0.0835401i | ||||
\(779\) | 20.5391 | + | 6.67357i | 0.735891 | + | 0.239105i | ||||
\(780\) | −0.951193 | + | 1.16938i | −0.0340582 | + | 0.0418706i | ||||
\(781\) | 39.7036i | 1.42071i | ||||||||
\(782\) | −1.43248 | + | 2.20583i | −0.0512255 | + | 0.0788803i | ||||
\(783\) | −14.3879 | + | 15.9793i | −0.514180 | + | 0.571055i | ||||
\(784\) | −0.0617300 | + | 0.290417i | −0.00220464 | + | 0.0103720i | ||||
\(785\) | −5.26826 | + | 33.2625i | −0.188032 | + | 1.18719i | ||||
\(786\) | 0.669105 | − | 12.7673i | 0.0238662 | − | 0.455394i | ||||
\(787\) | −6.21980 | − | 5.03669i | −0.221712 | − | 0.179539i | 0.512029 | − | 0.858968i | \(-0.328894\pi\) |
−0.733741 | + | 0.679429i | \(0.762227\pi\) | |||||||
\(788\) | −0.185191 | + | 0.0293313i | −0.00659714 | + | 0.00104488i | ||||
\(789\) | −27.7929 | − | 5.90757i | −0.989454 | − | 0.210315i | ||||
\(790\) | −0.208938 | + | 1.98791i | −0.00743367 | + | 0.0707266i | ||||
\(791\) | 24.2997 | − | 19.6775i | 0.863998 | − | 0.699652i | ||||
\(792\) | 7.50356 | + | 23.0936i | 0.266627 | + | 0.820594i | ||||
\(793\) | −14.3926 | − | 25.0552i | −0.511095 | − | 0.889736i | ||||
\(794\) | 12.6045 | − | 9.15771i | 0.447317 | − | 0.324995i | ||||
\(795\) | 18.3765 | − | 28.2974i | 0.651749 | − | 1.00360i | ||||
\(796\) | −0.222317 | + | 0.499331i | −0.00787980 | + | 0.0176983i | ||||
\(797\) | −3.55373 | − | 0.755368i | −0.125880 | − | 0.0267565i | 0.144541 | − | 0.989499i | \(-0.453829\pi\) |
−0.270421 | + | 0.962742i | \(0.587163\pi\) | |||||||
\(798\) | −5.85428 | + | 11.4897i | −0.207239 | + | 0.406730i | ||||
\(799\) | −0.301723 | + | 5.75721i | −0.0106742 | + | 0.203675i | ||||
\(800\) | 3.13092 | − | 0.838928i | 0.110695 | − | 0.0296606i | ||||
\(801\) | −1.71871 | + | 1.71871i | −0.0607276 | + | 0.0607276i | ||||
\(802\) | 16.0513 | − | 14.4526i | 0.566789 | − | 0.510339i | ||||
\(803\) | 25.9692 | + | 2.72948i | 0.916434 | + | 0.0963211i | ||||
\(804\) | 1.22175 | − | 0.468988i | 0.0430880 | − | 0.0165399i | ||||
\(805\) | 20.1825 | 0.711339 | ||||||||
\(806\) | −22.3294 | − | 16.1885i | −0.786519 | − | 0.570217i | ||||
\(807\) | −18.2210 | −0.641409 | ||||||||
\(808\) | −32.7978 | + | 12.5899i | −1.15382 | + | 0.442911i | ||||
\(809\) | −6.95841 | − | 0.731358i | −0.244644 | − | 0.0257132i | −0.0185875 | − | 0.999827i | \(-0.505917\pi\) |
−0.226057 | + | 0.974114i | \(0.572584\pi\) | |||||||
\(810\) | 4.66916 | − | 4.20413i | 0.164058 | − | 0.147718i | ||||
\(811\) | 9.07330 | − | 9.07330i | 0.318607 | − | 0.318607i | −0.529625 | − | 0.848232i | \(-0.677667\pi\) |
0.848232 | + | 0.529625i | \(0.177667\pi\) | |||||||
\(812\) | −1.13450 | + | 0.303989i | −0.0398133 | + | 0.0106679i | ||||
\(813\) | −1.41996 | + | 27.0945i | −0.0498003 | + | 0.950246i | ||||
\(814\) | −30.3428 | + | 59.5511i | −1.06351 | + | 2.08726i | ||||
\(815\) | 45.6355 | + | 9.70012i | 1.59854 | + | 0.339780i | ||||
\(816\) | −1.41936 | + | 3.18794i | −0.0496876 | + | 0.111600i | ||||
\(817\) | 7.20074 | − | 11.0882i | 0.251922 | − | 0.387926i | ||||
\(818\) | −21.1452 | + | 15.3629i | −0.739324 | + | 0.537150i | ||||
\(819\) | 10.9719 | − | 10.9239i | 0.383388 | − | 0.381713i | ||||
\(820\) | −0.782020 | − | 2.40681i | −0.0273093 | − | 0.0840494i | ||||
\(821\) | −4.29437 | + | 3.47751i | −0.149875 | + | 0.121366i | −0.701325 | − | 0.712842i | \(-0.747408\pi\) |
0.551451 | + | 0.834208i | \(0.314075\pi\) | |||||||
\(822\) | −2.86306 | + | 27.2402i | −0.0998606 | + | 0.950110i | ||||
\(823\) | −49.6023 | − | 10.5433i | −1.72903 | − | 0.367516i | −0.767250 | − | 0.641348i | \(-0.778375\pi\) |
−0.961777 | + | 0.273832i | \(0.911709\pi\) | |||||||
\(824\) | −44.4654 | + | 7.04263i | −1.54903 | + | 0.245342i | ||||
\(825\) | −23.7606 | − | 19.2410i | −0.827238 | − | 0.669884i | ||||
\(826\) | 0.389383 | − | 7.42987i | 0.0135484 | − | 0.258518i | ||||
\(827\) | −5.93333 | + | 37.4616i | −0.206322 | + | 1.30267i | 0.639331 | + | 0.768932i | \(0.279212\pi\) |
−0.845653 | + | 0.533734i | \(0.820788\pi\) | |||||||
\(828\) | 0.0921450 | − | 0.433508i | 0.00320226 | − | 0.0150655i | ||||
\(829\) | −3.38041 | + | 3.75433i | −0.117407 | + | 0.130393i | −0.798983 | − | 0.601354i | \(-0.794628\pi\) |
0.681576 | + | 0.731747i | \(0.261295\pi\) | |||||||
\(830\) | 34.1544 | − | 52.5932i | 1.18552 | − | 1.82554i | ||||
\(831\) | 12.3081i | 0.426964i | ||||||||
\(832\) | −3.09909 | − | 30.1200i | −0.107442 | − | 1.04422i | ||||
\(833\) | 0.0595217 | + | 0.0193398i | 0.00206230 | + | 0.000670083i | ||||
\(834\) | −6.22481 | − | 7.68700i | −0.215548 | − | 0.266179i | ||||
\(835\) | −4.41494 | + | 9.91612i | −0.152785 | + | 0.343161i | ||||
\(836\) | 0.879436 | − | 1.52323i | 0.0304159 | − | 0.0526820i | ||||
\(837\) | −21.3968 | − | 21.2600i | −0.739583 | − | 0.734853i | ||||
\(838\) | 4.26049 | + | 15.9004i | 0.147176 | + | 0.549269i | ||||
\(839\) | 34.8156 | − | 42.9937i | 1.20197 | − | 1.48431i | 0.370409 | − | 0.928869i | \(-0.379217\pi\) |
0.831558 | − | 0.555438i | \(-0.187449\pi\) | |||||||
\(840\) | 28.0295 | − | 4.43943i | 0.967109 | − | 0.153175i | ||||
\(841\) | 8.86355 | + | 9.84397i | 0.305640 | + | 0.339447i | ||||
\(842\) | 10.3207 | − | 5.95864i | 0.355674 | − | 0.205348i | ||||
\(843\) | −9.82928 | − | 2.63375i | −0.338538 | − | 0.0907110i | ||||
\(844\) | −1.86979 | − | 0.607532i | −0.0643608 | − | 0.0209121i | ||||
\(845\) | 39.8602 | + | 10.8678i | 1.37123 | + | 0.373864i | ||||
\(846\) | 5.03743 | + | 15.5036i | 0.173190 | + | 0.533025i | ||||
\(847\) | 37.5124 | − | 14.3996i | 1.28894 | − | 0.494778i | ||||
\(848\) | 7.10113 | + | 33.4082i | 0.243854 | + | 1.14724i | ||||
\(849\) | 1.40071 | + | 13.3268i | 0.0480721 | + | 0.457375i | ||||
\(850\) | 0.869335 | + | 5.48876i | 0.0298179 | + | 0.188263i | ||||
\(851\) | 19.2140 | − | 12.4777i | 0.658646 | − | 0.427730i | ||||
\(852\) | 0.365164 | − | 0.951284i | 0.0125103 | − | 0.0325904i | ||||
\(853\) | 8.30307 | + | 52.4235i | 0.284292 | + | 1.79495i | 0.554541 | + | 0.832156i | \(0.312894\pi\) |
−0.270250 | + | 0.962790i | \(0.587106\pi\) | |||||||
\(854\) | −6.02226 | + | 28.3325i | −0.206077 | + | 0.969518i | ||||
\(855\) | 15.7384 | + | 1.65417i | 0.538243 | + | 0.0565716i | ||||
\(856\) | 18.5784 | + | 48.3984i | 0.634997 | + | 1.65422i | ||||
\(857\) | −33.3279 | − | 10.8289i | −1.13846 | − | 0.369908i | −0.321675 | − | 0.946850i | \(-0.604246\pi\) |
−0.816785 | + | 0.576942i | \(0.804246\pi\) | |||||||
\(858\) | −22.1108 | + | 19.8212i | −0.754852 | + | 0.676685i | ||||
\(859\) | −4.81236 | + | 1.56363i | −0.164195 | + | 0.0533504i | −0.389961 | − | 0.920831i | \(-0.627512\pi\) |
0.225766 | + | 0.974182i | \(0.427512\pi\) | |||||||
\(860\) | −1.54715 | + | 0.0810827i | −0.0527574 | + | 0.00276490i | ||||
\(861\) | −4.52848 | − | 21.3048i | −0.154330 | − | 0.726067i | ||||
\(862\) | −41.6077 | − | 24.0222i | −1.41716 | − | 0.818200i | ||||
\(863\) | 22.0083 | + | 22.0083i | 0.749171 | + | 0.749171i | 0.974324 | − | 0.225152i | \(-0.0722879\pi\) |
−0.225152 | + | 0.974324i | \(0.572288\pi\) | |||||||
\(864\) | 0.180189 | − | 3.43822i | 0.00613017 | − | 0.116971i | ||||
\(865\) | −40.9563 | − | 15.7216i | −1.39255 | − | 0.534552i | ||||
\(866\) | −1.14847 | + | 7.25114i | −0.0390265 | + | 0.246404i | ||||
\(867\) | −16.5809 | − | 9.57301i | −0.563118 | − | 0.325116i | ||||
\(868\) | −0.347723 | − | 1.61049i | −0.0118025 | − | 0.0546636i | ||||
\(869\) | 0.607329 | − | 2.26658i | 0.0206022 | − | 0.0768886i | ||||
\(870\) | 11.9131 | + | 16.3969i | 0.403891 | + | 0.555908i | ||||
\(871\) | −25.3075 | − | 25.4185i | −0.857511 | − | 0.861274i | ||||
\(872\) | −2.51836 | + | 7.75071i | −0.0852824 | + | 0.262472i | ||||
\(873\) | 3.47382 | + | 0.930808i | 0.117571 | + | 0.0315031i | ||||
\(874\) | 8.76170 | − | 5.05857i | 0.296369 | − | 0.171109i | ||||
\(875\) | 0.623099 | − | 0.561041i | 0.0210646 | − | 0.0189666i | ||||
\(876\) | −0.597110 | − | 0.304243i | −0.0201745 | − | 0.0102794i | ||||
\(877\) | 8.26451 | − | 5.36704i | 0.279073 | − | 0.181232i | −0.397512 | − | 0.917597i | \(-0.630126\pi\) |
0.676584 | + | 0.736365i | \(0.263459\pi\) | |||||||
\(878\) | 1.81774 | − | 2.24472i | 0.0613458 | − | 0.0757558i | ||||
\(879\) | 3.93721 | + | 7.72720i | 0.132799 | + | 0.260632i | ||||
\(880\) | 60.9540 | − | 6.40652i | 2.05476 | − | 0.215964i | ||||
\(881\) | 3.03953 | − | 28.9192i | 0.102404 | − | 0.974313i | −0.815834 | − | 0.578286i | \(-0.803722\pi\) |
0.918239 | − | 0.396027i | \(-0.129611\pi\) | |||||||
\(882\) | 0.176723 | − | 0.00926164i | 0.00595056 | − | 0.000311856i | ||||
\(883\) | 9.67007 | + | 7.02572i | 0.325424 | + | 0.236434i | 0.738486 | − | 0.674268i | \(-0.235541\pi\) |
−0.413063 | + | 0.910703i | \(0.635541\pi\) | |||||||
\(884\) | −0.321640 | 0.000704163i | −0.0108179 | 2.36836e-5i | ||||||
\(885\) | 7.27645 | − | 2.36426i | 0.244595 | − | 0.0794738i | ||||
\(886\) | 18.6157 | + | 22.9884i | 0.625405 | + | 0.772311i | ||||
\(887\) | −34.7337 | − | 15.4644i | −1.16624 | − | 0.519245i | −0.270022 | − | 0.962854i | \(-0.587031\pi\) |
−0.896220 | + | 0.443609i | \(0.853698\pi\) | |||||||
\(888\) | 23.9397 | − | 21.5554i | 0.803365 | − | 0.723353i | ||||
\(889\) | −26.8520 | − | 4.25294i | −0.900588 | − | 0.142639i | ||||
\(890\) | 3.54120 | + | 5.45297i | 0.118701 | + | 0.182784i | ||||
\(891\) | −6.18590 | + | 4.01717i | −0.207235 | + | 0.134580i | ||||
\(892\) | 1.30258 | + | 2.55645i | 0.0436134 | + | 0.0855962i | ||||
\(893\) | 11.0880 | − | 19.2051i | 0.371047 | − | 0.642673i | ||||
\(894\) | −15.8981 | − | 27.5362i | −0.531710 | − | 0.920949i | ||||
\(895\) | −3.81616 | + | 5.87638i | −0.127560 | + | 0.196426i | ||||
\(896\) | −15.8756 | + | 21.8509i | −0.530367 | + | 0.729988i | ||||
\(897\) | 9.96093 | − | 2.09448i | 0.332586 | − | 0.0699326i | ||||
\(898\) | − | 41.8267i | − | 1.39578i | ||||||
\(899\) | 17.1294 | − | 13.9623i | 0.571297 | − | 0.465669i | ||||
\(900\) | −0.468206 | − | 0.810957i | −0.0156069 | − | 0.0270319i | ||||
\(901\) | 7.16003 | − | 0.752549i | 0.238535 | − | 0.0250711i | ||||
\(902\) | −7.79866 | − | 49.2388i | −0.259667 | − | 1.63947i | ||||
\(903\) | −13.3159 | − | 0.697857i | −0.443125 | − | 0.0232232i | ||||
\(904\) | −33.3191 | + | 8.92783i | −1.10818 | + | 0.296935i | ||||
\(905\) | −39.0156 | + | 39.0156i | −1.29692 | + | 1.29692i | ||||
\(906\) | −0.00190176 | − | 0.00211212i | −6.31819e−5 | − | 7.01706e-5i | ||||
\(907\) | 10.4489 | + | 9.40821i | 0.346949 | + | 0.312395i | 0.824119 | − | 0.566417i | \(-0.191671\pi\) |
−0.477170 | + | 0.878811i | \(0.658337\pi\) | |||||||
\(908\) | −0.975034 | + | 0.0510994i | −0.0323576 | + | 0.00169579i | ||||
\(909\) | 11.6134 | + | 15.9845i | 0.385194 | + | 0.530174i | ||||
\(910\) | −22.4808 | − | 34.7839i | −0.745232 | − | 1.15308i | ||||
\(911\) | −23.2507 | − | 32.0019i | −0.770331 | − | 1.06027i | −0.996284 | − | 0.0861314i | \(-0.972549\pi\) |
0.225953 | − | 0.974138i | \(-0.427451\pi\) | |||||||
\(912\) | 10.4318 | − | 8.44752i | 0.345432 | − | 0.279725i | ||||
\(913\) | −49.2600 | + | 54.7088i | −1.63027 | + | 1.81060i | ||||
\(914\) | −31.5498 | + | 14.0469i | −1.04358 | + | 0.464630i | ||||
\(915\) | −29.4196 | + | 4.65961i | −0.972583 | + | 0.154042i | ||||
\(916\) | −1.34862 | − | 2.07669i | −0.0445597 | − | 0.0686159i | ||||
\(917\) | −19.5427 | − | 7.50175i | −0.645358 | − | 0.247730i | ||||
\(918\) | 5.83009 | + | 0.923395i | 0.192422 | + | 0.0304766i | ||||
\(919\) | 28.0849 | + | 31.1915i | 0.926437 | + | 1.02891i | 0.999501 | + | 0.0315850i | \(0.0100555\pi\) |
−0.0730644 | + | 0.997327i | \(0.523278\pi\) | |||||||
\(920\) | −20.3402 | − | 9.05606i | −0.670598 | − | 0.298569i | ||||
\(921\) | −1.33080 | − | 25.3932i | −0.0438514 | − | 0.836735i | ||||
\(922\) | 12.7694 | + | 39.3002i | 0.420538 | + | 1.29428i | ||||
\(923\) | −27.8931 | + | 1.40059i | −0.918111 | + | 0.0461009i | ||||
\(924\) | −1.77391 | −0.0583574 | ||||||||
\(925\) | 12.5284 | − | 46.7566i | 0.411931 | − | 1.53735i | ||||
\(926\) | 10.6608 | + | 50.1549i | 0.350334 | + | 1.64819i | ||||
\(927\) | 10.2983 | + | 23.1304i | 0.338240 | + | 0.759700i | ||||
\(928\) | 2.49140 | + | 0.394600i | 0.0817844 | + | 0.0129534i | ||||
\(929\) | −44.3685 | + | 11.8885i | −1.45568 | + | 0.390050i | −0.897997 | − | 0.440001i | \(-0.854978\pi\) |
−0.557688 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(930\) | −23.7946 | + | 15.5612i | −0.780257 | + | 0.510271i | ||||
\(931\) | −0.170228 | − | 0.170228i | −0.00557900 | − | 0.00557900i | ||||
\(932\) | 0.353228 | + | 3.36074i | 0.0115704 | + | 0.110085i | ||||
\(933\) | −1.64462 | + | 15.6475i | −0.0538425 | + | 0.512277i | ||||
\(934\) | −12.2295 | − | 7.94195i | −0.400163 | − | 0.259869i | ||||
\(935\) | − | 12.9193i | − | 0.422507i | ||||||
\(936\) | −15.9593 | + | 6.08615i | −0.521646 | + | 0.198932i | ||||
\(937\) | 5.09159 | − | 15.6703i | 0.166335 | − | 0.511927i | −0.832797 | − | 0.553578i | \(-0.813262\pi\) |
0.999132 | + | 0.0416517i | \(0.0132620\pi\) | |||||||
\(938\) | 1.88182 | + | 35.9073i | 0.0614436 | + | 1.17241i | ||||
\(939\) | 26.6235 | − | 29.5684i | 0.868825 | − | 0.964928i | ||||
\(940\) | −2.58439 | + | 0.271631i | −0.0842936 | + | 0.00885962i | ||||
\(941\) | −10.0911 | + | 5.14166i | −0.328960 | + | 0.167613i | −0.610668 | − | 0.791887i | \(-0.709099\pi\) |
0.281708 | + | 0.959500i | \(0.409099\pi\) | |||||||
\(942\) | 10.7149 | − | 13.2318i | 0.349110 | − | 0.431115i | ||||
\(943\) | −6.12398 | + | 15.9535i | −0.199424 | + | 0.519518i | ||||
\(944\) | −3.51604 | + | 6.90062i | −0.114437 | + | 0.224596i | ||||
\(945\) | −18.4231 | − | 41.3789i | −0.599303 | − | 1.34606i | ||||
\(946\) | −30.3525 | − | 3.19018i | −0.986845 | − | 0.103722i | ||||
\(947\) | 2.50354 | + | 47.7704i | 0.0813542 | + | 1.55233i | 0.669031 | + | 0.743234i | \(0.266709\pi\) |
−0.587677 | + | 0.809096i | \(0.699957\pi\) | |||||||
\(948\) | −0.0353977 | + | 0.0487208i | −0.00114966 | + | 0.00158238i | ||||
\(949\) | −1.00145 | + | 18.3405i | −0.0325086 | + | 0.595359i | ||||
\(950\) | 6.60563 | − | 20.3300i | 0.214315 | − | 0.659593i | ||||
\(951\) | −6.95864 | − | 18.1279i | −0.225649 | − | 0.587837i | ||||
\(952\) | 4.50001 | + | 4.05183i | 0.145846 | + | 0.131321i | ||||
\(953\) | −13.4559 | − | 2.86014i | −0.435879 | − | 0.0926489i | −0.0152540 | − | 0.999884i | \(-0.504856\pi\) |
−0.420625 | + | 0.907235i | \(0.638189\pi\) | |||||||
\(954\) | 18.1385 | − | 9.24200i | 0.587254 | − | 0.299221i | ||||
\(955\) | −8.81392 | − | 32.8940i | −0.285212 | − | 1.06442i | ||||
\(956\) | −0.0243528 | − | 0.0908860i | −0.000787627 | − | 0.00293946i | ||||
\(957\) | −10.8018 | − | 21.1998i | −0.349174 | − | 0.685292i | ||||
\(958\) | −6.78737 | + | 3.02193i | −0.219290 | + | 0.0976342i | ||||
\(959\) | 40.9699 | + | 18.2410i | 1.32299 | + | 0.589032i | ||||
\(960\) | −30.1497 | − | 8.07860i | −0.973079 | − | 0.260736i | ||||
\(961\) | 18.3819 | + | 24.9621i | 0.592963 | + | 0.805230i | ||||
\(962\) | −42.9070 | − | 19.2161i | −1.38338 | − | 0.619551i | ||||
\(963\) | 23.5878 | − | 17.1375i | 0.760105 | − | 0.552249i | ||||
\(964\) | −0.956541 | + | 0.774592i | −0.0308081 | + | 0.0249479i | ||||
\(965\) | 13.2122 | − | 2.80833i | 0.425315 | − | 0.0904034i | ||||
\(966\) | −8.83662 | − | 5.10182i | −0.284314 | − | 0.164149i | ||||
\(967\) | −28.3858 | − | 28.3858i | −0.912827 | − | 0.912827i | 0.0836668 | − | 0.996494i | \(-0.473337\pi\) |
−0.996494 | + | 0.0836668i | \(0.973337\pi\) | |||||||
\(968\) | −44.2668 | − | 2.31993i | −1.42279 | − | 0.0745653i | ||||
\(969\) | −1.54105 | − | 2.37301i | −0.0495058 | − | 0.0762322i | ||||
\(970\) | 4.36752 | − | 8.57174i | 0.140233 | − | 0.275222i | ||||
\(971\) | −3.10931 | − | 29.5831i | −0.0997824 | − | 0.949367i | −0.923819 | − | 0.382830i | \(-0.874950\pi\) |
0.824036 | − | 0.566537i | \(-0.191717\pi\) | |||||||
\(972\) | −1.60300 | + | 0.340727i | −0.0514161 | + | 0.0109288i | ||||
\(973\) | −15.1198 | + | 5.80394i | −0.484718 | + | 0.186066i | ||||
\(974\) | −9.85614 | − | 7.16091i | −0.315811 | − | 0.229450i | ||||
\(975\) | 12.6792 | − | 17.3714i | 0.406060 | − | 0.556329i | ||||
\(976\) | 17.7227 | − | 24.3932i | 0.567289 | − | 0.780807i | ||||
\(977\) | 37.6166 | + | 46.4527i | 1.20346 | + | 1.48615i | 0.829313 | + | 0.558784i | \(0.188732\pi\) |
0.374149 | + | 0.927368i | \(0.377935\pi\) | |||||||
\(978\) | −17.5288 | − | 15.7830i | −0.560510 | − | 0.504685i | ||||
\(979\) | −3.10456 | − | 6.97297i | −0.0992223 | − | 0.222857i | ||||
\(980\) | −0.00441304 | + | 0.0278628i | −0.000140969 | + | 0.000890046i | ||||
\(981\) | 4.57709 | + | 0.239875i | 0.146135 | + | 0.00765862i | ||||
\(982\) | −8.48479 | − | 6.87085i | −0.270761 | − | 0.219258i | ||||
\(983\) | 5.30456 | + | 2.70281i | 0.169189 | + | 0.0862061i | 0.536534 | − | 0.843879i | \(-0.319733\pi\) |
−0.367345 | + | 0.930085i | \(0.619733\pi\) | |||||||
\(984\) | −4.99579 | + | 23.5033i | −0.159260 | + | 0.749259i | ||||
\(985\) | 5.18186 | − | 1.10144i | 0.165108 | − | 0.0350947i | ||||
\(986\) | −1.11930 | + | 4.17729i | −0.0356458 | + | 0.133032i | ||||
\(987\) | −22.3657 | −0.711908 | ||||||||
\(988\) | 1.10114 | + | 0.564100i | 0.0350320 | + | 0.0179464i | ||||
\(989\) | 8.46359 | + | 6.14916i | 0.269126 | + | 0.195532i | ||||
\(990\) | −13.0914 | − | 34.1044i | −0.416074 | − | 1.08391i | ||||
\(991\) | 20.6846 | − | 11.9422i | 0.657067 | − | 0.379358i | −0.134092 | − | 0.990969i | \(-0.542812\pi\) |
0.791158 | + | 0.611611i | \(0.209478\pi\) | |||||||
\(992\) | −0.724582 | + | 3.46348i | −0.0230055 | + | 0.109966i | ||||
\(993\) | 3.85107 | − | 3.85107i | 0.122210 | − | 0.122210i | ||||
\(994\) | 21.7574 | + | 17.6188i | 0.690102 | + | 0.558834i | ||||
\(995\) | 5.53439 | − | 14.4176i | 0.175452 | − | 0.457068i | ||||
\(996\) | 1.68342 | − | 0.857748i | 0.0533413 | − | 0.0271788i | ||||
\(997\) | 13.5673 | − | 23.4992i | 0.429680 | − | 0.744227i | −0.567165 | − | 0.823604i | \(-0.691960\pi\) |
0.996845 | + | 0.0793772i | \(0.0252931\pi\) | |||||||
\(998\) | −13.2169 | − | 22.8923i | −0.418373 | − | 0.724644i | ||||
\(999\) | −43.1213 | − | 28.0033i | −1.36430 | − | 0.885984i |
(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 | 403.2.cb.a.15.12 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.12 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.12 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.12 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.12 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.12 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.12 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.12 | yes | 576 | 403.215 | even | 60 | inner |