Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(3,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.x (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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 227.10 | ||
Character | \(\chi\) | \(=\) | 350.227 |
Dual form | 350.2.x.a.313.10 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.358368 | − | 0.933580i | −0.253404 | − | 0.660141i | ||||
\(3\) | 0.171538 | − | 3.27314i | 0.0990376 | − | 1.88975i | −0.273703 | − | 0.961814i | \(-0.588248\pi\) |
0.372740 | − | 0.927936i | \(-0.378418\pi\) | |||||||
\(4\) | −0.743145 | + | 0.669131i | −0.371572 | + | 0.334565i | ||||
\(5\) | 1.02837 | − | 1.98556i | 0.459900 | − | 0.887971i | ||||
\(6\) | −3.11722 | + | 1.01284i | −1.27260 | + | 0.413492i | ||||
\(7\) | −2.48341 | + | 0.912521i | −0.938639 | + | 0.344901i | ||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | −7.70047 | − | 0.809352i | −2.56682 | − | 0.269784i | ||||
\(10\) | −2.22222 | − | 0.248502i | −0.702727 | − | 0.0785833i | ||||
\(11\) | 0.237923 | + | 2.26369i | 0.0717366 | + | 0.682528i | 0.970006 | + | 0.243082i | \(0.0781584\pi\) |
−0.898269 | + | 0.439446i | \(0.855175\pi\) | |||||||
\(12\) | 2.06268 | + | 2.54720i | 0.595445 | + | 0.735314i | ||||
\(13\) | −0.0777396 | − | 0.490829i | −0.0215611 | − | 0.136131i | 0.974560 | − | 0.224128i | \(-0.0719534\pi\) |
−0.996121 | + | 0.0879969i | \(0.971953\pi\) | |||||||
\(14\) | 1.74189 | + | 1.99144i | 0.465538 | + | 0.532235i | ||||
\(15\) | −6.32263 | − | 3.70659i | −1.63250 | − | 0.957039i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | 4.93295 | − | 3.20349i | 1.19642 | − | 0.776962i | 0.216482 | − | 0.976287i | \(-0.430542\pi\) |
0.979933 | + | 0.199325i | \(0.0638749\pi\) | |||||||
\(18\) | 2.00401 | + | 7.47906i | 0.472349 | + | 1.76283i | ||||
\(19\) | 0.929016 | − | 1.03178i | 0.213131 | − | 0.236706i | −0.627094 | − | 0.778943i | \(-0.715756\pi\) |
0.840225 | + | 0.542237i | \(0.182423\pi\) | |||||||
\(20\) | 0.564375 | + | 2.16367i | 0.126198 | + | 0.483812i | ||||
\(21\) | 2.56081 | + | 8.28507i | 0.558815 | + | 1.80795i | ||||
\(22\) | 2.02807 | − | 1.03335i | 0.432386 | − | 0.220312i | ||||
\(23\) | 4.72196 | − | 1.81259i | 0.984596 | − | 0.377951i | 0.187805 | − | 0.982206i | \(-0.439863\pi\) |
0.796791 | + | 0.604255i | \(0.206529\pi\) | |||||||
\(24\) | 1.63882 | − | 2.83852i | 0.334522 | − | 0.579409i | ||||
\(25\) | −2.88492 | − | 4.08378i | −0.576984 | − | 0.816756i | ||||
\(26\) | −0.430369 | + | 0.248473i | −0.0844022 | + | 0.0487296i | ||||
\(27\) | −2.43185 | + | 15.3541i | −0.468009 | + | 2.95489i | ||||
\(28\) | 1.23493 | − | 2.33986i | 0.233381 | − | 0.442192i | ||||
\(29\) | −7.08164 | − | 2.30096i | −1.31503 | − | 0.427278i | −0.434243 | − | 0.900796i | \(-0.642984\pi\) |
−0.880784 | + | 0.473518i | \(0.842984\pi\) | |||||||
\(30\) | −1.19458 | + | 7.23101i | −0.218099 | + | 1.32019i | ||||
\(31\) | 0.399620 | − | 1.88006i | 0.0717738 | − | 0.337669i | −0.927580 | − | 0.373626i | \(-0.878114\pi\) |
0.999353 | + | 0.0359565i | \(0.0114478\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 7.45019 | − | 0.390448i | 1.29691 | − | 0.0679682i | ||||
\(34\) | −4.75853 | − | 3.45727i | −0.816081 | − | 0.592918i | ||||
\(35\) | −0.741987 | + | 5.86937i | −0.125419 | + | 0.992104i | ||||
\(36\) | 6.26413 | − | 4.55116i | 1.04402 | − | 0.758526i | ||||
\(37\) | 3.14526 | − | 2.54698i | 0.517077 | − | 0.418721i | −0.334936 | − | 0.942241i | \(-0.608715\pi\) |
0.852013 | + | 0.523520i | \(0.175381\pi\) | |||||||
\(38\) | −1.29618 | − | 0.497556i | −0.210268 | − | 0.0807142i | ||||
\(39\) | −1.61989 | + | 0.170257i | −0.259390 | + | 0.0272629i | ||||
\(40\) | 1.81771 | − | 1.30228i | 0.287405 | − | 0.205909i | ||||
\(41\) | −2.24100 | + | 3.08447i | −0.349986 | + | 0.481714i | −0.947325 | − | 0.320275i | \(-0.896225\pi\) |
0.597339 | + | 0.801989i | \(0.296225\pi\) | |||||||
\(42\) | 6.81707 | − | 5.35983i | 1.05190 | − | 0.827040i | ||||
\(43\) | −5.89010 | + | 5.89010i | −0.898232 | + | 0.898232i | −0.995280 | − | 0.0970475i | \(-0.969060\pi\) |
0.0970475 | + | 0.995280i | \(0.469060\pi\) | |||||||
\(44\) | −1.69151 | − | 1.52305i | −0.255005 | − | 0.229608i | ||||
\(45\) | −9.52594 | + | 14.4575i | −1.42004 | + | 2.15519i | ||||
\(46\) | −3.38440 | − | 3.75875i | −0.499002 | − | 0.554198i | ||||
\(47\) | −1.07009 | + | 1.64779i | −0.156089 | + | 0.240355i | −0.908060 | − | 0.418841i | \(-0.862437\pi\) |
0.751971 | + | 0.659196i | \(0.229103\pi\) | |||||||
\(48\) | −3.23728 | − | 0.512735i | −0.467261 | − | 0.0740069i | ||||
\(49\) | 5.33461 | − | 4.53232i | 0.762087 | − | 0.647474i | ||||
\(50\) | −2.77867 | + | 4.15680i | −0.392964 | + | 0.587860i | ||||
\(51\) | −9.63931 | − | 16.6958i | −1.34977 | − | 2.33788i | ||||
\(52\) | 0.386200 | + | 0.312739i | 0.0535563 | + | 0.0433691i | ||||
\(53\) | 7.90722 | + | 0.414400i | 1.08614 | + | 0.0569222i | 0.586991 | − | 0.809594i | \(-0.300313\pi\) |
0.499149 | + | 0.866516i | \(0.333646\pi\) | |||||||
\(54\) | 15.2058 | − | 3.23208i | 2.06924 | − | 0.439831i | ||||
\(55\) | 4.73937 | + | 1.85549i | 0.639056 | + | 0.250195i | ||||
\(56\) | −2.62701 | − | 0.314380i | −0.351049 | − | 0.0420108i | ||||
\(57\) | −3.21779 | − | 3.21779i | −0.426207 | − | 0.426207i | ||||
\(58\) | 0.389697 | + | 7.43587i | 0.0511698 | + | 0.976377i | ||||
\(59\) | −5.31921 | + | 2.36827i | −0.692503 | + | 0.308322i | −0.722641 | − | 0.691224i | \(-0.757072\pi\) |
0.0301383 | + | 0.999546i | \(0.490405\pi\) | |||||||
\(60\) | 7.17882 | − | 1.47613i | 0.926782 | − | 0.190567i | ||||
\(61\) | 4.69087 | − | 10.5359i | 0.600604 | − | 1.34898i | −0.315839 | − | 0.948813i | \(-0.602286\pi\) |
0.916443 | − | 0.400166i | \(-0.131048\pi\) | |||||||
\(62\) | −1.89840 | + | 0.300677i | −0.241097 | + | 0.0381860i | ||||
\(63\) | 19.8620 | − | 5.01690i | 2.50237 | − | 0.632069i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −1.05452 | − | 0.350395i | −0.130797 | − | 0.0434612i | ||||
\(66\) | −3.03442 | − | 6.81543i | −0.373512 | − | 0.838921i | ||||
\(67\) | −7.06757 | − | 10.8831i | −0.863441 | − | 1.32958i | −0.943014 | − | 0.332754i | \(-0.892022\pi\) |
0.0795723 | − | 0.996829i | \(-0.474645\pi\) | |||||||
\(68\) | −1.52234 | + | 5.68145i | −0.184611 | + | 0.688977i | ||||
\(69\) | −5.12287 | − | 15.7666i | −0.616721 | − | 1.89807i | ||||
\(70\) | 5.74543 | − | 1.41069i | 0.686710 | − | 0.168610i | ||||
\(71\) | 0.335223 | − | 1.03171i | 0.0397837 | − | 0.122442i | −0.929192 | − | 0.369597i | \(-0.879496\pi\) |
0.968976 | + | 0.247155i | \(0.0794958\pi\) | |||||||
\(72\) | −6.49373 | − | 4.21708i | −0.765294 | − | 0.496988i | ||||
\(73\) | 9.07643 | − | 11.2085i | 1.06232 | − | 1.31185i | 0.114364 | − | 0.993439i | \(-0.463517\pi\) |
0.947952 | − | 0.318412i | \(-0.103150\pi\) | |||||||
\(74\) | −3.50497 | − | 2.02360i | −0.407445 | − | 0.235238i | ||||
\(75\) | −13.8617 | + | 8.74223i | −1.60061 | + | 1.00947i | ||||
\(76\) | 1.38839i | 0.159260i | ||||||||
\(77\) | −2.65652 | − | 5.40455i | −0.302739 | − | 0.615905i | ||||
\(78\) | 0.739464 | + | 1.45128i | 0.0837278 | + | 0.164325i | ||||
\(79\) | 3.56601 | + | 16.7767i | 0.401207 | + | 1.88753i | 0.457662 | + | 0.889126i | \(0.348687\pi\) |
−0.0564544 | + | 0.998405i | \(0.517980\pi\) | |||||||
\(80\) | −1.86719 | − | 1.23028i | −0.208758 | − | 0.137550i | ||||
\(81\) | 27.1179 | + | 5.76408i | 3.01309 | + | 0.640453i | ||||
\(82\) | 3.68271 | + | 0.986779i | 0.406687 | + | 0.108971i | ||||
\(83\) | −1.74630 | + | 3.42730i | −0.191681 | + | 0.376195i | −0.966766 | − | 0.255661i | \(-0.917707\pi\) |
0.775085 | + | 0.631856i | \(0.217707\pi\) | |||||||
\(84\) | −7.44685 | − | 4.44349i | −0.812518 | − | 0.484825i | ||||
\(85\) | −1.28785 | − | 13.0891i | −0.139687 | − | 1.41971i | ||||
\(86\) | 7.60971 | + | 3.38806i | 0.820576 | + | 0.365344i | ||||
\(87\) | −8.74615 | + | 22.7845i | −0.937686 | + | 2.44276i | ||||
\(88\) | −0.815702 | + | 2.12498i | −0.0869541 | + | 0.226523i | ||||
\(89\) | 0.0651150 | + | 0.0289910i | 0.00690217 | + | 0.00307304i | 0.410185 | − | 0.912002i | \(-0.365464\pi\) |
−0.403283 | + | 0.915075i | \(0.632131\pi\) | |||||||
\(90\) | 16.9110 | + | 3.71214i | 1.78258 | + | 0.391294i | ||||
\(91\) | 0.640950 | + | 1.14799i | 0.0671899 | + | 0.120342i | ||||
\(92\) | −2.29624 | + | 4.50662i | −0.239400 | + | 0.469848i | ||||
\(93\) | −6.08516 | − | 1.63052i | −0.631002 | − | 0.169077i | ||||
\(94\) | 1.92183 | + | 0.408498i | 0.198222 | + | 0.0421334i | ||||
\(95\) | −1.09329 | − | 2.90567i | −0.112169 | − | 0.298115i | ||||
\(96\) | 0.681459 | + | 3.20601i | 0.0695511 | + | 0.327212i | ||||
\(97\) | −5.00472 | − | 9.82231i | −0.508152 | − | 0.997304i | −0.992479 | − | 0.122417i | \(-0.960935\pi\) |
0.484327 | − | 0.874887i | \(-0.339065\pi\) | |||||||
\(98\) | −6.14304 | − | 3.35605i | −0.620541 | − | 0.339012i | ||||
\(99\) | − | 17.6240i | − | 1.77128i | ||||||
\(100\) | 4.87649 | + | 1.10445i | 0.487649 | + | 0.110445i | ||||
\(101\) | 10.9059 | + | 6.29651i | 1.08517 | + | 0.626526i | 0.932288 | − | 0.361718i | \(-0.117810\pi\) |
0.152887 | + | 0.988244i | \(0.451143\pi\) | |||||||
\(102\) | −12.1324 | + | 14.9823i | −1.20129 | + | 1.48347i | ||||
\(103\) | 2.89476 | + | 1.87988i | 0.285229 | + | 0.185230i | 0.679321 | − | 0.733841i | \(-0.262274\pi\) |
−0.394092 | + | 0.919071i | \(0.628941\pi\) | |||||||
\(104\) | 0.153565 | − | 0.472624i | 0.0150583 | − | 0.0463446i | ||||
\(105\) | 19.0840 | + | 3.43545i | 1.86241 | + | 0.335265i | ||||
\(106\) | −2.44682 | − | 7.53053i | −0.237656 | − | 0.731430i | ||||
\(107\) | 3.56912 | − | 13.3201i | 0.345040 | − | 1.28771i | −0.547526 | − | 0.836789i | \(-0.684430\pi\) |
0.892566 | − | 0.450918i | \(-0.148903\pi\) | |||||||
\(108\) | −8.46667 | − | 13.0375i | −0.814705 | − | 1.25454i | ||||
\(109\) | 4.42055 | + | 9.92872i | 0.423412 | + | 0.950999i | 0.991748 | + | 0.128202i | \(0.0409207\pi\) |
−0.568336 | + | 0.822796i | \(0.692413\pi\) | |||||||
\(110\) | 0.0338143 | − | 5.08953i | 0.00322407 | − | 0.485268i | ||||
\(111\) | −7.79710 | − | 10.7318i | −0.740068 | − | 1.01862i | ||||
\(112\) | 0.647936 | + | 2.56519i | 0.0612242 | + | 0.242387i | ||||
\(113\) | −1.09506 | + | 0.173440i | −0.103014 | + | 0.0163159i | −0.207729 | − | 0.978186i | \(-0.566607\pi\) |
0.104714 | + | 0.994502i | \(0.466607\pi\) | |||||||
\(114\) | −1.85091 | + | 4.15722i | −0.173354 | + | 0.389360i | ||||
\(115\) | 1.25690 | − | 11.2398i | 0.117206 | − | 1.04811i | ||||
\(116\) | 6.80233 | − | 3.02859i | 0.631580 | − | 0.281198i | ||||
\(117\) | 0.201379 | + | 3.84253i | 0.0186175 | + | 0.355242i | ||||
\(118\) | 4.11720 | + | 4.11720i | 0.379019 | + | 0.379019i | ||||
\(119\) | −9.32726 | + | 12.4570i | −0.855028 | + | 1.14193i | ||||
\(120\) | −3.95074 | − | 6.17301i | −0.360652 | − | 0.563516i | ||||
\(121\) | 5.69195 | − | 1.20986i | 0.517450 | − | 0.109987i | ||||
\(122\) | −11.5171 | − | 0.603587i | −1.04271 | − | 0.0546462i | ||||
\(123\) | 9.71151 | + | 7.86422i | 0.875657 | + | 0.709093i | ||||
\(124\) | 0.961032 | + | 1.66456i | 0.0863033 | + | 0.149482i | ||||
\(125\) | −11.0754 | + | 1.52856i | −0.990610 | + | 0.136719i | ||||
\(126\) | −11.8016 | − | 16.7448i | −1.05137 | − | 1.49175i | ||||
\(127\) | 18.8176 | + | 2.98042i | 1.66979 | + | 0.264469i | 0.918478 | − | 0.395472i | \(-0.129419\pi\) |
0.751317 | + | 0.659942i | \(0.229419\pi\) | |||||||
\(128\) | 0.544639 | − | 0.838671i | 0.0481397 | − | 0.0741287i | ||||
\(129\) | 18.2688 | + | 20.2895i | 1.60848 | + | 1.78639i | ||||
\(130\) | 0.0507823 | + | 1.11005i | 0.00445390 | + | 0.0973575i | ||||
\(131\) | 1.13860 | + | 1.02520i | 0.0994799 | + | 0.0895721i | 0.717370 | − | 0.696692i | \(-0.245346\pi\) |
−0.617890 | + | 0.786264i | \(0.712012\pi\) | |||||||
\(132\) | −5.27531 | + | 5.27531i | −0.459157 | + | 0.459157i | ||||
\(133\) | −1.36561 | + | 3.41007i | −0.118413 | + | 0.295690i | ||||
\(134\) | −7.62746 | + | 10.4983i | −0.658913 | + | 0.906915i | ||||
\(135\) | 27.9856 | + | 20.6182i | 2.40862 | + | 1.77453i | ||||
\(136\) | 5.84965 | − | 0.614823i | 0.501603 | − | 0.0527206i | ||||
\(137\) | −7.65003 | − | 2.93657i | −0.653586 | − | 0.250888i | 0.00890220 | − | 0.999960i | \(-0.497166\pi\) |
−0.662488 | + | 0.749072i | \(0.730500\pi\) | |||||||
\(138\) | −12.8835 | + | 10.4328i | −1.09672 | + | 0.888103i | ||||
\(139\) | −5.94607 | + | 4.32007i | −0.504339 | + | 0.366424i | −0.810672 | − | 0.585501i | \(-0.800898\pi\) |
0.306333 | + | 0.951924i | \(0.400898\pi\) | |||||||
\(140\) | −3.37597 | − | 4.85827i | −0.285321 | − | 0.410599i | ||||
\(141\) | 5.20990 | + | 3.78522i | 0.438753 | + | 0.318773i | ||||
\(142\) | −1.08332 | + | 0.0567743i | −0.0909101 | + | 0.00476439i | ||||
\(143\) | 1.09259 | − | 0.292758i | 0.0913667 | − | 0.0244816i | ||||
\(144\) | −1.60984 | + | 7.57369i | −0.134153 | + | 0.631141i | ||||
\(145\) | −11.8512 | + | 11.6948i | −0.984191 | + | 0.971200i | ||||
\(146\) | −13.7167 | − | 4.45683i | −1.13520 | − | 0.368850i | ||||
\(147\) | −13.9198 | − | 18.2384i | −1.14809 | − | 1.50428i | ||||
\(148\) | −0.633120 | + | 3.99736i | −0.0520422 | + | 0.328581i | ||||
\(149\) | −1.75575 | + | 1.01368i | −0.143837 | + | 0.0830442i | −0.570191 | − | 0.821512i | \(-0.693131\pi\) |
0.426355 | + | 0.904556i | \(0.359798\pi\) | |||||||
\(150\) | 13.1291 | + | 9.80804i | 1.07199 | + | 0.800823i | ||||
\(151\) | 4.81556 | − | 8.34080i | 0.391885 | − | 0.678764i | −0.600813 | − | 0.799389i | \(-0.705157\pi\) |
0.992698 | + | 0.120625i | \(0.0384898\pi\) | |||||||
\(152\) | 1.29618 | − | 0.497556i | 0.105134 | − | 0.0403571i | ||||
\(153\) | −40.5788 | + | 20.6759i | −3.28060 | + | 1.67155i | ||||
\(154\) | −4.09357 | + | 4.41690i | −0.329869 | + | 0.355924i | ||||
\(155\) | −3.32203 | − | 2.72687i | −0.266832 | − | 0.219027i | ||||
\(156\) | 1.08989 | − | 1.21044i | 0.0872608 | − | 0.0969129i | ||||
\(157\) | 3.04735 | + | 11.3729i | 0.243205 | + | 0.907654i | 0.974277 | + | 0.225354i | \(0.0723537\pi\) |
−0.731072 | + | 0.682300i | \(0.760980\pi\) | |||||||
\(158\) | 14.3845 | − | 9.34140i | 1.14437 | − | 0.743162i | ||||
\(159\) | 2.71278 | − | 25.8104i | 0.215137 | − | 2.04690i | ||||
\(160\) | −0.479426 | + | 2.18407i | −0.0379019 | + | 0.172666i | ||||
\(161\) | −10.0725 | + | 8.81028i | −0.793825 | + | 0.694348i | ||||
\(162\) | −4.33694 | − | 27.3824i | −0.340742 | − | 2.15136i | ||||
\(163\) | −4.32822 | − | 5.34491i | −0.339013 | − | 0.418646i | 0.578919 | − | 0.815385i | \(-0.303475\pi\) |
−0.917931 | + | 0.396740i | \(0.870142\pi\) | |||||||
\(164\) | −0.398527 | − | 3.79173i | −0.0311198 | − | 0.296085i | ||||
\(165\) | 6.88628 | − | 15.1943i | 0.536096 | − | 1.18288i | ||||
\(166\) | 3.82548 | + | 0.402074i | 0.296915 | + | 0.0312070i | ||||
\(167\) | 7.15574 | + | 3.64603i | 0.553728 | + | 0.282138i | 0.708381 | − | 0.705831i | \(-0.249426\pi\) |
−0.154653 | + | 0.987969i | \(0.549426\pi\) | |||||||
\(168\) | −1.47964 | + | 8.54464i | −0.114157 | + | 0.659233i | ||||
\(169\) | 12.1289 | − | 3.94091i | 0.932990 | − | 0.303147i | ||||
\(170\) | −11.7582 | + | 5.89301i | −0.901809 | + | 0.451973i | ||||
\(171\) | −7.98894 | + | 7.19327i | −0.610929 | + | 0.550083i | ||||
\(172\) | 0.435951 | − | 8.31845i | 0.0332410 | − | 0.634276i | ||||
\(173\) | 4.05945 | + | 10.5752i | 0.308634 | + | 0.804019i | 0.996909 | + | 0.0785688i | \(0.0250350\pi\) |
−0.688275 | + | 0.725450i | \(0.741632\pi\) | |||||||
\(174\) | 24.4055 | 1.85018 | ||||||||
\(175\) | 10.8910 | + | 7.50913i | 0.823279 | + | 0.567637i | ||||
\(176\) | 2.27616 | 0.171572 | ||||||||
\(177\) | 6.83923 | + | 17.8168i | 0.514068 | + | 1.33919i | ||||
\(178\) | 0.00373036 | − | 0.0711795i | 0.000279602 | − | 0.00533513i | ||||
\(179\) | −0.849241 | + | 0.764660i | −0.0634753 | + | 0.0571534i | −0.700258 | − | 0.713890i | \(-0.746932\pi\) |
0.636782 | + | 0.771043i | \(0.280265\pi\) | |||||||
\(180\) | −2.59478 | − | 17.1181i | −0.193403 | − | 1.27591i | ||||
\(181\) | −1.46632 | + | 0.476438i | −0.108991 | + | 0.0354133i | −0.363005 | − | 0.931787i | \(-0.618249\pi\) |
0.254014 | + | 0.967201i | \(0.418249\pi\) | |||||||
\(182\) | 0.842042 | − | 1.00978i | 0.0624163 | − | 0.0748499i | ||||
\(183\) | −33.6807 | − | 17.1612i | −2.48975 | − | 1.26859i | ||||
\(184\) | 5.03019 | + | 0.528695i | 0.370831 | + | 0.0389759i | ||||
\(185\) | −1.82271 | − | 8.86434i | −0.134008 | − | 0.651719i | ||||
\(186\) | 0.658511 | + | 6.26532i | 0.0482844 | + | 0.459395i | ||||
\(187\) | 8.42538 | + | 10.4045i | 0.616125 | + | 0.760850i | ||||
\(188\) | −0.307358 | − | 1.94058i | −0.0224164 | − | 0.141531i | ||||
\(189\) | −7.97166 | − | 40.3495i | −0.579853 | − | 2.93499i | ||||
\(190\) | −2.32087 | + | 2.06197i | −0.168374 | + | 0.149591i | ||||
\(191\) | 0.416511 | − | 3.96284i | 0.0301377 | − | 0.286741i | −0.969065 | − | 0.246807i | \(-0.920619\pi\) |
0.999202 | − | 0.0399340i | \(-0.0127148\pi\) | |||||||
\(192\) | 2.74886 | − | 1.78513i | 0.198382 | − | 0.128831i | ||||
\(193\) | −4.51252 | − | 16.8409i | −0.324818 | − | 1.21224i | −0.914495 | − | 0.404598i | \(-0.867411\pi\) |
0.589677 | − | 0.807639i | \(-0.299255\pi\) | |||||||
\(194\) | −7.37638 | + | 8.19231i | −0.529594 | + | 0.588173i | ||||
\(195\) | −1.32778 | + | 3.39147i | −0.0950846 | + | 0.242869i | ||||
\(196\) | −0.931673 | + | 6.93772i | −0.0665481 | + | 0.495552i | ||||
\(197\) | −2.63638 | + | 1.34330i | −0.187834 | + | 0.0957062i | −0.545378 | − | 0.838190i | \(-0.683614\pi\) |
0.357544 | + | 0.933896i | \(0.383614\pi\) | |||||||
\(198\) | −16.4535 | + | 6.31589i | −1.16930 | + | 0.448851i | ||||
\(199\) | 1.06732 | − | 1.84866i | 0.0756607 | − | 0.131048i | −0.825713 | − | 0.564091i | \(-0.809227\pi\) |
0.901373 | + | 0.433043i | \(0.142560\pi\) | |||||||
\(200\) | −0.716485 | − | 4.94840i | −0.0506632 | − | 0.349905i | ||||
\(201\) | −36.8343 | + | 21.2663i | −2.59809 | + | 1.50001i | ||||
\(202\) | 1.96998 | − | 12.4380i | 0.138607 | − | 0.875133i | ||||
\(203\) | 19.6863 | − | 0.747918i | 1.38170 | − | 0.0524936i | ||||
\(204\) | 18.3351 | + | 5.95742i | 1.28371 | + | 0.417103i | ||||
\(205\) | 3.81984 | + | 7.62162i | 0.266789 | + | 0.532317i | ||||
\(206\) | 0.717628 | − | 3.37617i | 0.0499995 | − | 0.235229i | ||||
\(207\) | −37.8283 | + | 10.1361i | −2.62925 | + | 0.704506i | ||||
\(208\) | −0.496266 | + | 0.0260082i | −0.0344098 | + | 0.00180334i | ||||
\(209\) | 2.55666 | + | 1.85752i | 0.176848 | + | 0.128487i | ||||
\(210\) | −3.63182 | − | 19.0476i | −0.250620 | − | 1.31441i | ||||
\(211\) | −5.19727 | + | 3.77604i | −0.357795 | + | 0.259953i | −0.752132 | − | 0.659013i | \(-0.770974\pi\) |
0.394337 | + | 0.918966i | \(0.370974\pi\) | |||||||
\(212\) | −6.15350 | + | 4.98300i | −0.422624 | + | 0.342234i | ||||
\(213\) | −3.31943 | − | 1.27421i | −0.227444 | − | 0.0873075i | ||||
\(214\) | −13.7145 | + | 1.44145i | −0.937503 | + | 0.0985355i | ||||
\(215\) | 5.63798 | + | 17.7524i | 0.384507 | + | 1.21070i | ||||
\(216\) | −9.13739 | + | 12.5765i | −0.621721 | + | 0.855725i | ||||
\(217\) | 0.723179 | + | 5.03362i | 0.0490926 | + | 0.341704i | ||||
\(218\) | 7.68507 | − | 7.68507i | 0.520499 | − | 0.520499i | ||||
\(219\) | −35.1299 | − | 31.6311i | −2.37386 | − | 2.13743i | ||||
\(220\) | −4.76360 | + | 1.79236i | −0.321162 | + | 0.120841i | ||||
\(221\) | −1.95585 | − | 2.17219i | −0.131565 | − | 0.146118i | ||||
\(222\) | −7.22475 | + | 11.1251i | −0.484894 | + | 0.746671i | ||||
\(223\) | 5.74914 | + | 0.910575i | 0.384991 | + | 0.0609766i | 0.345930 | − | 0.938260i | \(-0.387563\pi\) |
0.0390608 | + | 0.999237i | \(0.487563\pi\) | |||||||
\(224\) | 2.16261 | − | 1.52418i | 0.144495 | − | 0.101839i | ||||
\(225\) | 18.9100 | + | 33.7819i | 1.26067 | + | 2.25213i | ||||
\(226\) | 0.554354 | + | 0.960169i | 0.0368751 | + | 0.0638695i | ||||
\(227\) | 9.78728 | + | 7.92559i | 0.649605 | + | 0.526040i | 0.896523 | − | 0.442997i | \(-0.146085\pi\) |
−0.246918 | + | 0.969036i | \(0.579418\pi\) | |||||||
\(228\) | 4.54441 | + | 0.238162i | 0.300961 | + | 0.0157727i | ||||
\(229\) | −13.0293 | + | 2.76945i | −0.860997 | + | 0.183011i | −0.617191 | − | 0.786813i | \(-0.711729\pi\) |
−0.243806 | + | 0.969824i | \(0.578396\pi\) | |||||||
\(230\) | −10.9436 | + | 2.85455i | −0.721603 | + | 0.188224i | ||||
\(231\) | −18.1456 | + | 7.76810i | −1.19389 | + | 0.511103i | ||||
\(232\) | −5.26517 | − | 5.26517i | −0.345675 | − | 0.345675i | ||||
\(233\) | 0.786677 | + | 15.0107i | 0.0515369 | + | 0.983383i | 0.894964 | + | 0.446139i | \(0.147201\pi\) |
−0.843427 | + | 0.537244i | \(0.819465\pi\) | |||||||
\(234\) | 3.51514 | − | 1.56504i | 0.229792 | − | 0.102310i | ||||
\(235\) | 2.17135 | + | 3.81927i | 0.141643 | + | 0.249142i | ||||
\(236\) | 2.36827 | − | 5.31921i | 0.154161 | − | 0.346251i | ||||
\(237\) | 55.5244 | − | 8.79420i | 3.60670 | − | 0.571245i | ||||
\(238\) | 14.9722 | + | 4.24356i | 0.970504 | + | 0.275069i | ||||
\(239\) | 15.3757 | + | 21.1628i | 0.994569 | + | 1.36891i | 0.928599 | + | 0.371085i | \(0.121014\pi\) |
0.0659702 | + | 0.997822i | \(0.478986\pi\) | |||||||
\(240\) | −4.34718 | + | 5.90055i | −0.280610 | + | 0.380879i | ||||
\(241\) | 1.32435 | + | 2.97454i | 0.0853090 | + | 0.191607i | 0.951163 | − | 0.308690i | \(-0.0998907\pi\) |
−0.865854 | + | 0.500297i | \(0.833224\pi\) | |||||||
\(242\) | −3.16931 | − | 4.88031i | −0.203731 | − | 0.313718i | ||||
\(243\) | 11.4480 | − | 42.7246i | 0.734390 | − | 2.74078i | ||||
\(244\) | 3.56387 | + | 10.9685i | 0.228154 | + | 0.702185i | ||||
\(245\) | −3.51327 | − | 15.2531i | −0.224454 | − | 0.974485i | ||||
\(246\) | 3.86159 | − | 11.8848i | 0.246206 | − | 0.757745i | ||||
\(247\) | −0.578647 | − | 0.375778i | −0.0368184 | − | 0.0239102i | ||||
\(248\) | 1.20959 | − | 1.49372i | 0.0768093 | − | 0.0948516i | ||||
\(249\) | 10.9185 | + | 6.30379i | 0.691931 | + | 0.399487i | ||||
\(250\) | 5.39609 | + | 9.79195i | 0.341279 | + | 0.619297i | ||||
\(251\) | 6.03275i | 0.380784i | 0.981708 | + | 0.190392i | \(0.0609758\pi\) | ||||
−0.981708 | + | 0.190392i | \(0.939024\pi\) | |||||||
\(252\) | −11.4034 | + | 17.0185i | −0.718344 | + | 1.07207i | ||||
\(253\) | 5.22660 | + | 10.2578i | 0.328594 | + | 0.644901i | ||||
\(254\) | −3.96117 | − | 18.6359i | −0.248546 | − | 1.16932i | ||||
\(255\) | −43.0632 | + | 1.97006i | −2.69673 | + | 0.123370i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 2.73014 | + | 0.731539i | 0.170301 | + | 0.0456321i | 0.342962 | − | 0.939349i | \(-0.388570\pi\) |
−0.172661 | + | 0.984981i | \(0.555236\pi\) | |||||||
\(258\) | 12.3950 | − | 24.3265i | 0.771677 | − | 1.51450i | ||||
\(259\) | −5.48678 | + | 9.19530i | −0.340932 | + | 0.571368i | ||||
\(260\) | 1.01812 | − | 0.445214i | 0.0631410 | − | 0.0276110i | ||||
\(261\) | 52.6697 | + | 23.4500i | 3.26017 | + | 1.45152i | ||||
\(262\) | 0.549069 | − | 1.43037i | 0.0339216 | − | 0.0883688i | ||||
\(263\) | −1.09790 | + | 2.86013i | −0.0676994 | + | 0.176363i | −0.963256 | − | 0.268584i | \(-0.913444\pi\) |
0.895557 | + | 0.444947i | \(0.146778\pi\) | |||||||
\(264\) | 6.81543 | + | 3.03442i | 0.419461 | + | 0.186756i | ||||
\(265\) | 8.95435 | − | 15.2741i | 0.550061 | − | 0.938282i | ||||
\(266\) | 3.67296 | + | 0.0528438i | 0.225204 | + | 0.00324006i | ||||
\(267\) | 0.106062 | − | 0.208157i | 0.00649086 | − | 0.0127390i | ||||
\(268\) | 12.5344 | + | 3.35860i | 0.765663 | + | 0.205159i | ||||
\(269\) | 6.34090 | + | 1.34780i | 0.386611 | + | 0.0821768i | 0.397117 | − | 0.917768i | \(-0.370011\pi\) |
−0.0105055 | + | 0.999945i | \(0.503344\pi\) | |||||||
\(270\) | 9.21961 | − | 33.5158i | 0.561087 | − | 2.03970i | ||||
\(271\) | −3.85489 | − | 18.1358i | −0.234168 | − | 1.10167i | −0.925386 | − | 0.379026i | \(-0.876259\pi\) |
0.691218 | − | 0.722646i | \(-0.257074\pi\) | |||||||
\(272\) | −2.67031 | − | 5.24078i | −0.161911 | − | 0.317769i | ||||
\(273\) | 3.86747 | − | 1.90100i | 0.234070 | − | 0.115054i | ||||
\(274\) | 8.19429i | 0.495035i | ||||||||
\(275\) | 8.55801 | − | 7.50218i | 0.516068 | − | 0.452399i | ||||
\(276\) | 14.3569 | + | 8.28898i | 0.864186 | + | 0.498938i | ||||
\(277\) | 13.0545 | − | 16.1210i | 0.784369 | − | 0.968615i | −0.215600 | − | 0.976482i | \(-0.569171\pi\) |
0.999969 | + | 0.00786712i | \(0.00250421\pi\) | |||||||
\(278\) | 6.16402 | + | 4.00296i | 0.369693 | + | 0.240081i | ||||
\(279\) | −4.59889 | + | 14.1539i | −0.275329 | + | 0.847374i | ||||
\(280\) | −3.32575 | + | 4.89279i | −0.198752 | + | 0.292400i | ||||
\(281\) | 8.47361 | + | 26.0791i | 0.505493 | + | 1.55575i | 0.799940 | + | 0.600080i | \(0.204864\pi\) |
−0.294447 | + | 0.955668i | \(0.595136\pi\) | |||||||
\(282\) | 1.66674 | − | 6.22036i | 0.0992530 | − | 0.370417i | ||||
\(283\) | −6.58662 | − | 10.1425i | −0.391534 | − | 0.602909i | 0.586853 | − | 0.809694i | \(-0.300367\pi\) |
−0.978387 | + | 0.206784i | \(0.933700\pi\) | |||||||
\(284\) | 0.441230 | + | 0.991019i | 0.0261822 | + | 0.0588061i | ||||
\(285\) | −9.69820 | + | 3.08005i | −0.574472 | + | 0.182447i | ||||
\(286\) | −0.664861 | − | 0.915103i | −0.0393141 | − | 0.0541112i | ||||
\(287\) | 2.75067 | − | 9.70496i | 0.162367 | − | 0.572866i | ||||
\(288\) | 7.64756 | − | 1.21125i | 0.450637 | − | 0.0713739i | ||||
\(289\) | 7.15708 | − | 16.0751i | 0.421005 | − | 0.945593i | ||||
\(290\) | 15.1651 | + | 6.87304i | 0.890527 | + | 0.403599i | ||||
\(291\) | −33.0083 | + | 14.6963i | −1.93498 | + | 0.861509i | ||||
\(292\) | 0.754820 | + | 14.4028i | 0.0441725 | + | 0.842862i | ||||
\(293\) | 19.8507 | + | 19.8507i | 1.15969 | + | 1.15969i | 0.984542 | + | 0.175146i | \(0.0560397\pi\) |
0.175146 | + | 0.984542i | \(0.443960\pi\) | |||||||
\(294\) | −12.0386 | + | 19.5314i | −0.702105 | + | 1.13909i | ||||
\(295\) | −0.767767 | + | 12.9971i | −0.0447011 | + | 0.756719i | ||||
\(296\) | 3.95875 | − | 0.841458i | 0.230098 | − | 0.0489088i | ||||
\(297\) | −35.3354 | − | 1.85185i | −2.05037 | − | 0.107455i | ||||
\(298\) | 1.57556 | + | 1.27586i | 0.0912697 | + | 0.0739088i | ||||
\(299\) | −1.25675 | − | 2.17676i | −0.0726800 | − | 0.125885i | ||||
\(300\) | 4.45153 | − | 15.7720i | 0.257009 | − | 0.910597i | ||||
\(301\) | 9.25267 | − | 20.0024i | 0.533315 | − | 1.15292i | ||||
\(302\) | −9.51255 | − | 1.50664i | −0.547386 | − | 0.0866974i | ||||
\(303\) | 22.4801 | − | 34.6164i | 1.29145 | − | 1.98866i | ||||
\(304\) | −0.929016 | − | 1.03178i | −0.0532827 | − | 0.0591765i | ||||
\(305\) | −16.0957 | − | 20.1488i | −0.921636 | − | 1.15371i | ||||
\(306\) | 33.8448 | + | 30.4740i | 1.93478 | + | 1.74208i | ||||
\(307\) | 13.2073 | − | 13.2073i | 0.753781 | − | 0.753781i | −0.221402 | − | 0.975183i | \(-0.571063\pi\) |
0.975183 | + | 0.221402i | \(0.0710632\pi\) | |||||||
\(308\) | 5.59053 | + | 2.23880i | 0.318550 | + | 0.127567i | ||||
\(309\) | 6.64966 | − | 9.15248i | 0.378286 | − | 0.520666i | ||||
\(310\) | −1.35524 | + | 4.07860i | −0.0769725 | + | 0.231649i | ||||
\(311\) | 24.4917 | − | 2.57418i | 1.38880 | − | 0.145969i | 0.619569 | − | 0.784942i | \(-0.287307\pi\) |
0.769229 | + | 0.638974i | \(0.220641\pi\) | |||||||
\(312\) | −1.52063 | − | 0.583713i | −0.0860884 | − | 0.0330463i | ||||
\(313\) | 0.474973 | − | 0.384625i | 0.0268470 | − | 0.0217403i | −0.615803 | − | 0.787900i | \(-0.711168\pi\) |
0.642650 | + | 0.766160i | \(0.277835\pi\) | |||||||
\(314\) | 9.52542 | − | 6.92062i | 0.537550 | − | 0.390553i | ||||
\(315\) | 10.4640 | − | 44.5964i | 0.589582 | − | 2.51272i | ||||
\(316\) | −13.8759 | − | 10.0814i | −0.780580 | − | 0.567125i | ||||
\(317\) | −5.33047 | + | 0.279358i | −0.299389 | + | 0.0156903i | −0.201439 | − | 0.979501i | \(-0.564562\pi\) |
−0.0979498 | + | 0.995191i | \(0.531228\pi\) | |||||||
\(318\) | −25.0682 | + | 6.71701i | −1.40576 | + | 0.376671i | ||||
\(319\) | 3.52378 | − | 16.5781i | 0.197294 | − | 0.928194i | ||||
\(320\) | 2.21081 | − | 0.335117i | 0.123588 | − | 0.0187336i | ||||
\(321\) | −42.9865 | − | 13.9672i | −2.39927 | − | 0.779571i | ||||
\(322\) | 11.8348 | + | 6.24618i | 0.659526 | + | 0.348086i | ||||
\(323\) | 1.27750 | − | 8.06580i | 0.0710819 | − | 0.448793i | ||||
\(324\) | −24.0094 | + | 13.8618i | −1.33386 | + | 0.770102i | ||||
\(325\) | −1.78016 | + | 1.73347i | −0.0987456 | + | 0.0961557i | ||||
\(326\) | −3.43881 | + | 5.95619i | −0.190458 | + | 0.329883i | ||||
\(327\) | 33.2564 | − | 12.7659i | 1.83908 | − | 0.705958i | ||||
\(328\) | −3.39707 | + | 1.73089i | −0.187572 | + | 0.0955726i | ||||
\(329\) | 1.15382 | − | 5.06862i | 0.0636122 | − | 0.279442i | ||||
\(330\) | −16.6530 | − | 0.983728i | −0.916715 | − | 0.0541524i | ||||
\(331\) | −23.8612 | + | 26.5005i | −1.31153 | + | 1.45660i | −0.507972 | + | 0.861373i | \(0.669605\pi\) |
−0.803557 | + | 0.595228i | \(0.797062\pi\) | |||||||
\(332\) | −0.995560 | − | 3.71548i | −0.0546385 | − | 0.203913i | ||||
\(333\) | −26.2814 | + | 17.0673i | −1.44021 | + | 0.935284i | ||||
\(334\) | 0.839476 | − | 7.98708i | 0.0459341 | − | 0.437033i | ||||
\(335\) | −28.8772 | + | 2.84127i | −1.57773 | + | 0.155235i | ||||
\(336\) | 8.50737 | − | 1.68076i | 0.464115 | − | 0.0916929i | ||||
\(337\) | −2.02291 | − | 12.7722i | −0.110195 | − | 0.695744i | −0.979496 | − | 0.201461i | \(-0.935431\pi\) |
0.869302 | − | 0.494282i | \(-0.164569\pi\) | |||||||
\(338\) | −8.02575 | − | 9.91098i | −0.436543 | − | 0.539086i | ||||
\(339\) | 0.379850 | + | 3.61403i | 0.0206306 | + | 0.196287i | ||||
\(340\) | 9.71535 | + | 8.86532i | 0.526889 | + | 0.480789i | ||||
\(341\) | 4.35096 | + | 0.457304i | 0.235617 | + | 0.0247644i | ||||
\(342\) | 9.57848 | + | 4.88048i | 0.517945 | + | 0.263906i | ||||
\(343\) | −9.11216 | + | 16.1235i | −0.492011 | + | 0.870589i | ||||
\(344\) | −7.92217 | + | 2.57407i | −0.427135 | + | 0.138785i | ||||
\(345\) | −36.5737 | − | 6.04206i | −1.96906 | − | 0.325293i | ||||
\(346\) | 8.41804 | − | 7.57964i | 0.452557 | − | 0.407484i | ||||
\(347\) | −0.505120 | + | 9.63827i | −0.0271163 | + | 0.517409i | 0.950979 | + | 0.309254i | \(0.100079\pi\) |
−0.978096 | + | 0.208155i | \(0.933254\pi\) | |||||||
\(348\) | −8.74615 | − | 22.7845i | −0.468843 | − | 1.22138i | ||||
\(349\) | 2.92228 | 0.156426 | 0.0782132 | − | 0.996937i | \(-0.475079\pi\) | ||||
0.0782132 | + | 0.996937i | \(0.475079\pi\) | |||||||
\(350\) | 3.10740 | − | 12.8586i | 0.166098 | − | 0.687322i | ||||
\(351\) | 7.72527 | 0.412344 | ||||||||
\(352\) | −0.815702 | − | 2.12498i | −0.0434771 | − | 0.113262i | ||||
\(353\) | −0.465956 | + | 8.89097i | −0.0248003 | + | 0.473219i | 0.957794 | + | 0.287455i | \(0.0928092\pi\) |
−0.982594 | + | 0.185764i | \(0.940524\pi\) | |||||||
\(354\) | 14.1824 | − | 12.7699i | 0.753789 | − | 0.678714i | ||||
\(355\) | −1.70379 | − | 1.72659i | −0.0904280 | − | 0.0916376i | ||||
\(356\) | −0.0677886 | + | 0.0220259i | −0.00359279 | + | 0.00116737i | ||||
\(357\) | 39.1736 | + | 32.6663i | 2.07328 | + | 1.72888i | ||||
\(358\) | 1.01821 | + | 0.518805i | 0.0538142 | + | 0.0274197i | ||||
\(359\) | 2.72338 | + | 0.286239i | 0.143734 | + | 0.0151071i | 0.176122 | − | 0.984368i | \(-0.443645\pi\) |
−0.0323880 | + | 0.999475i | \(0.510311\pi\) | |||||||
\(360\) | −15.0512 | + | 8.55701i | −0.793269 | + | 0.450994i | ||||
\(361\) | 1.78455 | + | 16.9788i | 0.0939236 | + | 0.893623i | ||||
\(362\) | 0.970277 | + | 1.19819i | 0.0509966 | + | 0.0629756i | ||||
\(363\) | −2.98366 | − | 18.8381i | −0.156602 | − | 0.988743i | ||||
\(364\) | −1.24447 | − | 0.424241i | −0.0652281 | − | 0.0222363i | ||||
\(365\) | −12.9212 | − | 29.5483i | −0.676326 | − | 1.54663i | ||||
\(366\) | −3.95126 | + | 37.5937i | −0.206535 | + | 1.96505i | ||||
\(367\) | 1.84351 | − | 1.19719i | 0.0962304 | − | 0.0624927i | −0.495627 | − | 0.868536i | \(-0.665062\pi\) |
0.591857 | + | 0.806043i | \(0.298395\pi\) | |||||||
\(368\) | −1.30908 | − | 4.88556i | −0.0682406 | − | 0.254677i | ||||
\(369\) | 19.7532 | − | 21.9382i | 1.02831 | − | 1.14205i | ||||
\(370\) | −7.62237 | + | 4.87834i | −0.396268 | + | 0.253613i | ||||
\(371\) | −20.0150 | + | 6.18638i | −1.03913 | + | 0.321181i | ||||
\(372\) | 5.61319 | − | 2.86006i | 0.291030 | − | 0.148287i | ||||
\(373\) | −24.3042 | + | 9.32952i | −1.25843 | + | 0.483064i | −0.893957 | − | 0.448152i | \(-0.852082\pi\) |
−0.364468 | + | 0.931216i | \(0.618749\pi\) | |||||||
\(374\) | 6.69403 | − | 11.5944i | 0.346140 | − | 0.599532i | ||||
\(375\) | 3.10335 | + | 36.5134i | 0.160257 | + | 1.88555i | ||||
\(376\) | −1.70154 | + | 0.982384i | −0.0877502 | + | 0.0506626i | ||||
\(377\) | −0.578855 | + | 3.65475i | −0.0298125 | + | 0.188229i | ||||
\(378\) | −34.8127 | + | 21.9022i | −1.79057 | + | 1.12653i | ||||
\(379\) | −23.7782 | − | 7.72599i | −1.22140 | − | 0.396858i | −0.373810 | − | 0.927505i | \(-0.621949\pi\) |
−0.847592 | + | 0.530648i | \(0.821949\pi\) | |||||||
\(380\) | 2.75674 | + | 1.42778i | 0.141418 | + | 0.0732435i | ||||
\(381\) | 12.9833 | − | 61.0815i | 0.665154 | − | 3.12930i | ||||
\(382\) | −3.84889 | + | 1.03131i | −0.196927 | + | 0.0527663i | ||||
\(383\) | 27.1005 | − | 1.42027i | 1.38477 | − | 0.0725727i | 0.654670 | − | 0.755915i | \(-0.272807\pi\) |
0.730098 | + | 0.683342i | \(0.239474\pi\) | |||||||
\(384\) | −2.65166 | − | 1.92655i | −0.135317 | − | 0.0983136i | ||||
\(385\) | −13.4630 | − | 0.283168i | −0.686136 | − | 0.0144316i | ||||
\(386\) | −14.1052 | + | 10.2481i | −0.717937 | + | 0.521612i | ||||
\(387\) | 50.1238 | − | 40.5894i | 2.54793 | − | 2.06328i | ||||
\(388\) | 10.2916 | + | 3.95059i | 0.522479 | + | 0.200561i | ||||
\(389\) | −18.6548 | + | 1.96069i | −0.945834 | + | 0.0994112i | −0.564871 | − | 0.825179i | \(-0.691074\pi\) |
−0.380963 | + | 0.924590i | \(0.624407\pi\) | |||||||
\(390\) | 3.64205 | + | 0.0241974i | 0.184422 | + | 0.00122528i | ||||
\(391\) | 17.4866 | − | 24.0682i | 0.884333 | − | 1.21718i | ||||
\(392\) | 6.81080 | − | 1.61647i | 0.343998 | − | 0.0816438i | ||||
\(393\) | 3.55094 | − | 3.55094i | 0.179121 | − | 0.179121i | ||||
\(394\) | 2.19887 | + | 1.97987i | 0.110778 | + | 0.0997446i | ||||
\(395\) | 36.9785 | + | 10.1721i | 1.86059 | + | 0.511816i | ||||
\(396\) | 11.7928 | + | 13.0972i | 0.592610 | + | 0.658160i | ||||
\(397\) | 9.13448 | − | 14.0659i | 0.458446 | − | 0.705945i | −0.531552 | − | 0.847026i | \(-0.678391\pi\) |
0.989998 | + | 0.141080i | \(0.0450576\pi\) | |||||||
\(398\) | −2.10837 | − | 0.333933i | −0.105683 | − | 0.0167385i | ||||
\(399\) | 10.9274 | + | 5.05478i | 0.547054 | + | 0.253056i | ||||
\(400\) | −4.36296 | + | 2.44224i | −0.218148 | + | 0.122112i | ||||
\(401\) | −12.8739 | − | 22.2983i | −0.642894 | − | 1.11353i | −0.984784 | − | 0.173785i | \(-0.944400\pi\) |
0.341890 | − | 0.939740i | \(-0.388933\pi\) | |||||||
\(402\) | 33.0540 | + | 26.7666i | 1.64859 | + | 1.33500i | ||||
\(403\) | −0.953855 | − | 0.0499894i | −0.0475149 | − | 0.00249015i | ||||
\(404\) | −12.3178 | + | 2.61824i | −0.612835 | + | 0.130262i | ||||
\(405\) | 39.3321 | − | 47.9166i | 1.95443 | − | 2.38100i | ||||
\(406\) | −7.75316 | − | 18.1107i | −0.384783 | − | 0.898818i | ||||
\(407\) | 6.51390 | + | 6.51390i | 0.322882 | + | 0.322882i | ||||
\(408\) | −1.00896 | − | 19.2522i | −0.0499512 | − | 0.953126i | ||||
\(409\) | −8.98643 | + | 4.00102i | −0.444351 | + | 0.197838i | −0.616700 | − | 0.787198i | \(-0.711531\pi\) |
0.172349 | + | 0.985036i | \(0.444864\pi\) | |||||||
\(410\) | 5.74649 | − | 6.29748i | 0.283799 | − | 0.311010i | ||||
\(411\) | −10.9241 | + | 24.5359i | −0.538846 | + | 1.21027i | ||||
\(412\) | −3.40910 | + | 0.539949i | −0.167955 | + | 0.0266014i | ||||
\(413\) | 11.0487 | − | 10.7353i | 0.543670 | − | 0.528248i | ||||
\(414\) | 23.0193 | + | 31.6834i | 1.13134 | + | 1.55715i | ||||
\(415\) | 5.00928 | + | 6.99191i | 0.245896 | + | 0.343219i | ||||
\(416\) | 0.202126 | + | 0.453983i | 0.00991006 | + | 0.0222584i | ||||
\(417\) | 13.1202 | + | 20.2034i | 0.642501 | + | 0.989364i | ||||
\(418\) | 0.817920 | − | 3.05252i | 0.0400058 | − | 0.149304i | ||||
\(419\) | 9.93392 | + | 30.5734i | 0.485304 | + | 1.49361i | 0.831541 | + | 0.555464i | \(0.187459\pi\) |
−0.346237 | + | 0.938147i | \(0.612541\pi\) | |||||||
\(420\) | −16.4809 | + | 10.2166i | −0.804187 | + | 0.498521i | ||||
\(421\) | −1.11907 | + | 3.44414i | −0.0545401 | + | 0.167857i | −0.974616 | − | 0.223883i | \(-0.928127\pi\) |
0.920076 | + | 0.391740i | \(0.128127\pi\) | |||||||
\(422\) | 5.38777 | + | 3.49886i | 0.262273 | + | 0.170322i | ||||
\(423\) | 9.57384 | − | 11.8227i | 0.465496 | − | 0.574840i | ||||
\(424\) | 6.85725 | + | 3.95903i | 0.333017 | + | 0.192268i | ||||
\(425\) | −27.3135 | − | 10.9032i | −1.32490 | − | 0.528885i | ||||
\(426\) | 3.55560i | 0.172269i | ||||||||
\(427\) | −2.03513 | + | 30.4453i | −0.0984869 | + | 1.47335i | ||||
\(428\) | 6.26054 | + | 12.2870i | 0.302615 | + | 0.593915i | ||||
\(429\) | −0.770818 | − | 3.62641i | −0.0372154 | − | 0.175085i | ||||
\(430\) | 14.5528 | − | 11.6254i | 0.701798 | − | 0.560626i | ||||
\(431\) | −9.46819 | − | 2.01253i | −0.456067 | − | 0.0969400i | −0.0258505 | − | 0.999666i | \(-0.508229\pi\) |
−0.430216 | + | 0.902726i | \(0.641563\pi\) | |||||||
\(432\) | 15.0158 | + | 4.02346i | 0.722446 | + | 0.193579i | ||||
\(433\) | −14.4093 | + | 28.2798i | −0.692465 | + | 1.35904i | 0.230088 | + | 0.973170i | \(0.426098\pi\) |
−0.922553 | + | 0.385869i | \(0.873902\pi\) | |||||||
\(434\) | 4.44013 | − | 2.47903i | 0.213133 | − | 0.118997i | ||||
\(435\) | 36.2458 | + | 40.7969i | 1.73785 | + | 1.95606i | ||||
\(436\) | −9.92872 | − | 4.42055i | −0.475499 | − | 0.211706i | ||||
\(437\) | 2.51659 | − | 6.55593i | 0.120385 | − | 0.313613i | ||||
\(438\) | −16.9408 | + | 44.1322i | −0.809461 | + | 2.10872i | ||||
\(439\) | 14.7956 | + | 6.58745i | 0.706158 | + | 0.314402i | 0.728209 | − | 0.685355i | \(-0.240353\pi\) |
−0.0220513 | + | 0.999757i | \(0.507020\pi\) | |||||||
\(440\) | 3.38043 | + | 3.80488i | 0.161156 | + | 0.181391i | ||||
\(441\) | −44.7473 | + | 30.5834i | −2.13082 | + | 1.45635i | ||||
\(442\) | −1.32700 | + | 2.60439i | −0.0631191 | + | 0.123878i | ||||
\(443\) | −32.8207 | − | 8.79428i | −1.55936 | − | 0.417829i | −0.626898 | − | 0.779101i | \(-0.715676\pi\) |
−0.932460 | + | 0.361272i | \(0.882342\pi\) | |||||||
\(444\) | 12.9753 | + | 2.75799i | 0.615782 | + | 0.130889i | ||||
\(445\) | 0.124526 | − | 0.0994764i | 0.00590308 | − | 0.00471563i | ||||
\(446\) | −1.21021 | − | 5.69361i | −0.0573053 | − | 0.269600i | ||||
\(447\) | 3.01675 | + | 5.92071i | 0.142687 | + | 0.280040i | ||||
\(448\) | −2.19795 | − | 1.47275i | −0.103844 | − | 0.0695809i | ||||
\(449\) | 7.55233i | 0.356416i | 0.983993 | + | 0.178208i | \(0.0570301\pi\) | ||||
−0.983993 | + | 0.178208i | \(0.942970\pi\) | |||||||
\(450\) | 24.7614 | − | 29.7604i | 1.16726 | − | 1.40292i | ||||
\(451\) | −7.51547 | − | 4.33906i | −0.353890 | − | 0.204318i | ||||
\(452\) | 0.697733 | − | 0.861628i | 0.0328186 | − | 0.0405276i | ||||
\(453\) | −26.4746 | − | 17.1928i | −1.24388 | − | 0.807788i | ||||
\(454\) | 3.89172 | − | 11.9775i | 0.182648 | − | 0.562132i | ||||
\(455\) | 2.93853 | − | 0.0920939i | 0.137761 | − | 0.00431743i | ||||
\(456\) | −1.40623 | − | 4.32792i | −0.0658526 | − | 0.202673i | ||||
\(457\) | −4.51669 | + | 16.8565i | −0.211282 | + | 0.788515i | 0.776161 | + | 0.630535i | \(0.217165\pi\) |
−0.987442 | + | 0.157979i | \(0.949502\pi\) | |||||||
\(458\) | 7.25477 | + | 11.1714i | 0.338993 | + | 0.522004i | ||||
\(459\) | 37.1905 | + | 83.5313i | 1.73590 | + | 3.89891i | ||||
\(460\) | 6.58681 | + | 9.19379i | 0.307111 | + | 0.428663i | ||||
\(461\) | −0.0539469 | − | 0.0742515i | −0.00251256 | − | 0.00345824i | 0.807759 | − | 0.589513i | \(-0.200680\pi\) |
−0.810271 | + | 0.586055i | \(0.800680\pi\) | |||||||
\(462\) | 13.7549 | + | 14.1565i | 0.639937 | + | 0.658620i | ||||
\(463\) | −41.5122 | + | 6.57489i | −1.92924 | + | 0.305561i | −0.998232 | − | 0.0594461i | \(-0.981067\pi\) |
−0.931005 | + | 0.365007i | \(0.881067\pi\) | |||||||
\(464\) | −3.02859 | + | 6.80233i | −0.140599 | + | 0.315790i | ||||
\(465\) | −9.49528 | + | 10.4057i | −0.440333 | + | 0.482553i | ||||
\(466\) | 13.7318 | − | 6.11377i | 0.636112 | − | 0.283215i | ||||
\(467\) | −1.38568 | − | 26.4404i | −0.0641216 | − | 1.22351i | −0.821374 | − | 0.570391i | \(-0.806792\pi\) |
0.757252 | − | 0.653123i | \(-0.226542\pi\) | |||||||
\(468\) | −2.72081 | − | 2.72081i | −0.125769 | − | 0.125769i | ||||
\(469\) | 27.4827 | + | 20.5779i | 1.26903 | + | 0.950197i | ||||
\(470\) | 2.78745 | − | 3.39583i | 0.128576 | − | 0.156638i | ||||
\(471\) | 37.7478 | − | 8.02354i | 1.73933 | − | 0.369705i | ||||
\(472\) | −5.81462 | − | 0.304732i | −0.267640 | − | 0.0140264i | ||||
\(473\) | −14.7348 | − | 11.9320i | −0.677505 | − | 0.548632i | ||||
\(474\) | −28.1083 | − | 48.6849i | −1.29106 | − | 2.23617i | ||||
\(475\) | −6.89369 | − | 0.817303i | −0.316304 | − | 0.0375004i | ||||
\(476\) | −1.40386 | − | 15.4985i | −0.0643456 | − | 0.710373i | ||||
\(477\) | −60.5539 | − | 9.59080i | −2.77257 | − | 0.439133i | ||||
\(478\) | 14.2470 | − | 21.9385i | 0.651643 | − | 1.00344i | ||||
\(479\) | −14.9175 | − | 16.5676i | −0.681600 | − | 0.756994i | 0.298734 | − | 0.954336i | \(-0.403436\pi\) |
−0.980335 | + | 0.197343i | \(0.936769\pi\) | |||||||
\(480\) | 7.06653 | + | 1.94388i | 0.322541 | + | 0.0887256i | ||||
\(481\) | −1.49464 | − | 1.34578i | −0.0681498 | − | 0.0613623i | ||||
\(482\) | 2.30237 | − | 2.30237i | 0.104870 | − | 0.104870i | ||||
\(483\) | 27.1095 | + | 34.4801i | 1.23352 | + | 1.56890i | ||||
\(484\) | −3.42039 | + | 4.70776i | −0.155472 | + | 0.213989i | ||||
\(485\) | −24.6495 | − | 0.163769i | −1.11928 | − | 0.00743635i | ||||
\(486\) | −43.9894 | + | 4.62347i | −1.99540 | + | 0.209725i | ||||
\(487\) | −18.6392 | − | 7.15493i | −0.844624 | − | 0.324221i | −0.102706 | − | 0.994712i | \(-0.532750\pi\) |
−0.741918 | + | 0.670491i | \(0.766084\pi\) | |||||||
\(488\) | 8.96278 | − | 7.25791i | 0.405726 | − | 0.328550i | ||||
\(489\) | −18.2371 | + | 13.2500i | −0.824710 | + | 0.599187i | ||||
\(490\) | −12.9810 | + | 8.74614i | −0.586420 | + | 0.395110i | ||||
\(491\) | 7.44616 | + | 5.40995i | 0.336040 | + | 0.244148i | 0.742989 | − | 0.669303i | \(-0.233407\pi\) |
−0.406949 | + | 0.913451i | \(0.633407\pi\) | |||||||
\(492\) | −12.4792 | + | 0.654010i | −0.562608 | + | 0.0294850i | ||||
\(493\) | −42.3045 | + | 11.3354i | −1.90530 | + | 0.510523i | ||||
\(494\) | −0.143450 | + | 0.674880i | −0.00645413 | + | 0.0303643i | ||||
\(495\) | −34.9936 | − | 18.1240i | −1.57285 | − | 0.814613i | ||||
\(496\) | −1.82799 | − | 0.593951i | −0.0820793 | − | 0.0266692i | ||||
\(497\) | 0.108963 | + | 2.86806i | 0.00488765 | + | 0.128650i | ||||
\(498\) | 1.97226 | − | 12.4524i | 0.0883791 | − | 0.558004i | ||||
\(499\) | −6.67796 | + | 3.85552i | −0.298946 | + | 0.172597i | −0.641969 | − | 0.766730i | \(-0.721882\pi\) |
0.343023 | + | 0.939327i | \(0.388549\pi\) | |||||||
\(500\) | 7.20779 | − | 8.54680i | 0.322342 | − | 0.382225i | ||||
\(501\) | 13.1615 | − | 22.7963i | 0.588011 | − | 1.01846i | ||||
\(502\) | 5.63206 | − | 2.16194i | 0.251371 | − | 0.0964923i | ||||
\(503\) | −7.18077 | + | 3.65878i | −0.320175 | + | 0.163137i | −0.606690 | − | 0.794939i | \(-0.707503\pi\) |
0.286515 | + | 0.958076i | \(0.407503\pi\) | |||||||
\(504\) | 19.9748 | + | 4.54705i | 0.889746 | + | 0.202542i | ||||
\(505\) | 23.7174 | − | 15.1792i | 1.05541 | − | 0.675464i | ||||
\(506\) | 7.70342 | − | 8.55552i | 0.342459 | − | 0.380339i | ||||
\(507\) | −10.8186 | − | 40.3755i | −0.480470 | − | 1.79314i | ||||
\(508\) | −15.9785 | + | 10.3766i | −0.708932 | + | 0.460386i | ||||
\(509\) | −2.10328 | + | 20.0114i | −0.0932263 | + | 0.886989i | 0.843548 | + | 0.537054i | \(0.180463\pi\) |
−0.936774 | + | 0.349935i | \(0.886204\pi\) | |||||||
\(510\) | 17.2717 | + | 39.4970i | 0.764803 | + | 1.74896i | ||||
\(511\) | −12.3125 | + | 36.1176i | −0.544673 | + | 1.59775i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | 13.5828 | + | 16.7733i | 0.599693 | + | 0.740560i | ||||
\(514\) | −0.295444 | − | 2.81097i | −0.0130315 | − | 0.123986i | ||||
\(515\) | 6.70949 | − | 3.81451i | 0.295655 | − | 0.168088i | ||||
\(516\) | −27.1527 | − | 2.85386i | −1.19533 | − | 0.125634i | ||||
\(517\) | −3.98469 | − | 2.03030i | −0.175246 | − | 0.0892925i | ||||
\(518\) | 10.5508 | + | 1.82705i | 0.463577 | + | 0.0802759i | ||||
\(519\) | 35.3105 | − | 11.4731i | 1.54996 | − | 0.503613i | ||||
\(520\) | −0.780504 | − | 0.790945i | −0.0342274 | − | 0.0346852i | ||||
\(521\) | −5.31296 | + | 4.78381i | −0.232765 | + | 0.209583i | −0.777257 | − | 0.629184i | \(-0.783389\pi\) |
0.544492 | + | 0.838766i | \(0.316723\pi\) | |||||||
\(522\) | 3.01738 | − | 57.5751i | 0.132067 | − | 2.51999i | ||||
\(523\) | 3.09462 | + | 8.06175i | 0.135318 | + | 0.352516i | 0.984450 | − | 0.175665i | \(-0.0562076\pi\) |
−0.849132 | + | 0.528181i | \(0.822874\pi\) | |||||||
\(524\) | −1.53214 | −0.0669317 | ||||||||
\(525\) | 26.4467 | − | 34.3596i | 1.15423 | − | 1.49957i | ||||
\(526\) | 3.06361 | 0.133580 | ||||||||
\(527\) | −4.05147 | − | 10.5544i | −0.176485 | − | 0.459758i | ||||
\(528\) | 0.390448 | − | 7.45019i | 0.0169921 | − | 0.324228i | ||||
\(529\) | 1.91908 | − | 1.72794i | 0.0834381 | − | 0.0751280i | ||||
\(530\) | −17.4686 | − | 2.88585i | −0.758786 | − | 0.125353i | ||||
\(531\) | 42.8772 | − | 13.9317i | 1.86071 | − | 0.604582i | ||||
\(532\) | −1.26694 | − | 3.44794i | −0.0549287 | − | 0.149487i | ||||
\(533\) | 1.68816 | + | 0.860162i | 0.0731224 | + | 0.0372577i | ||||
\(534\) | −0.232341 | − | 0.0244200i | −0.0100544 | − | 0.00105676i | ||||
\(535\) | −22.7776 | − | 20.7847i | −0.984762 | − | 0.898602i | ||||
\(536\) | −1.35643 | − | 12.9055i | −0.0585887 | − | 0.557434i | ||||
\(537\) | 2.35716 | + | 2.91086i | 0.101719 | + | 0.125613i | ||||
\(538\) | −1.01410 | − | 6.40275i | −0.0437208 | − | 0.276042i | ||||
\(539\) | 11.5290 | + | 10.9976i | 0.496589 | + | 0.473698i | ||||
\(540\) | −34.5937 | + | 3.40373i | −1.48867 | + | 0.146473i | ||||
\(541\) | 1.62352 | − | 15.4468i | 0.0698006 | − | 0.664108i | −0.902550 | − | 0.430584i | \(-0.858308\pi\) |
0.972351 | − | 0.233524i | \(-0.0750257\pi\) | |||||||
\(542\) | −15.5498 | + | 10.0981i | −0.667920 | + | 0.433752i | ||||
\(543\) | 1.30792 | + | 4.88122i | 0.0561281 | + | 0.209473i | ||||
\(544\) | −3.93574 | + | 4.37108i | −0.168743 | + | 0.187408i | ||||
\(545\) | 24.2600 | + | 1.43310i | 1.03919 | + | 0.0613871i | ||||
\(546\) | −3.16071 | − | 2.92934i | −0.135266 | − | 0.125364i | ||||
\(547\) | 1.80173 | − | 0.918029i | 0.0770366 | − | 0.0392521i | −0.415048 | − | 0.909800i | \(-0.636235\pi\) |
0.492084 | + | 0.870548i | \(0.336235\pi\) | |||||||
\(548\) | 7.65003 | − | 2.93657i | 0.326793 | − | 0.125444i | ||||
\(549\) | −44.6491 | + | 77.3346i | −1.90558 | + | 3.30056i | ||||
\(550\) | −10.0708 | − | 5.30105i | −0.429421 | − | 0.226038i | ||||
\(551\) | −8.95304 | + | 5.16904i | −0.381412 | + | 0.220208i | ||||
\(552\) | 2.59336 | − | 16.3739i | 0.110381 | − | 0.696917i | ||||
\(553\) | −24.1650 | − | 38.4094i | −1.02760 | − | 1.63333i | ||||
\(554\) | −19.7285 | − | 6.41019i | −0.838185 | − | 0.272343i | ||||
\(555\) | −29.3269 | + | 4.44540i | −1.24486 | + | 0.188697i | ||||
\(556\) | 1.52810 | − | 7.18914i | 0.0648058 | − | 0.304887i | ||||
\(557\) | −31.5159 | + | 8.44467i | −1.33537 | + | 0.357812i | −0.854716 | − | 0.519097i | \(-0.826268\pi\) |
−0.480657 | + | 0.876909i | \(0.659602\pi\) | |||||||
\(558\) | 14.8619 | − | 0.778881i | 0.629156 | − | 0.0329727i | ||||
\(559\) | 3.34892 | + | 2.43314i | 0.141644 | + | 0.102911i | ||||
\(560\) | 5.75965 | + | 1.35144i | 0.243390 | + | 0.0571087i | ||||
\(561\) | 35.5006 | − | 25.7927i | 1.49884 | − | 1.08897i | ||||
\(562\) | 21.3102 | − | 17.2567i | 0.898919 | − | 0.727930i | ||||
\(563\) | 36.7559 | + | 14.1092i | 1.54907 | + | 0.594634i | 0.974613 | − | 0.223897i | \(-0.0718781\pi\) |
0.574462 | + | 0.818531i | \(0.305211\pi\) | |||||||
\(564\) | −6.40452 | + | 0.673142i | −0.269679 | + | 0.0283444i | ||||
\(565\) | −0.781746 | + | 2.35267i | −0.0328883 | + | 0.0989774i | ||||
\(566\) | −7.10841 | + | 9.78389i | −0.298789 | + | 0.411248i | ||||
\(567\) | −72.6045 | + | 10.4311i | −3.04910 | + | 0.438064i | ||||
\(568\) | 0.767073 | − | 0.767073i | 0.0321857 | − | 0.0321857i | ||||
\(569\) | 11.9330 | + | 10.7445i | 0.500257 | + | 0.450434i | 0.880218 | − | 0.474569i | \(-0.157396\pi\) |
−0.379961 | + | 0.925002i | \(0.624063\pi\) | |||||||
\(570\) | 6.35100 | + | 7.95026i | 0.266014 | + | 0.333000i | ||||
\(571\) | −25.5403 | − | 28.3654i | −1.06883 | − | 1.18706i | −0.981616 | − | 0.190866i | \(-0.938871\pi\) |
−0.0872132 | − | 0.996190i | \(-0.527796\pi\) | |||||||
\(572\) | −0.616057 | + | 0.948645i | −0.0257586 | + | 0.0396648i | ||||
\(573\) | −12.8995 | − | 2.04308i | −0.538884 | − | 0.0853509i | ||||
\(574\) | −10.0461 | + | 0.909977i | −0.419317 | + | 0.0379817i | ||||
\(575\) | −21.0247 | − | 14.0543i | −0.876790 | − | 0.586103i | ||||
\(576\) | −3.87145 | − | 6.70554i | −0.161310 | − | 0.279397i | ||||
\(577\) | −22.4962 | − | 18.2171i | −0.936529 | − | 0.758386i | 0.0339875 | − | 0.999422i | \(-0.489179\pi\) |
−0.970516 | + | 0.241036i | \(0.922513\pi\) | |||||||
\(578\) | −17.5722 | − | 0.920922i | −0.730909 | − | 0.0383053i | ||||
\(579\) | −55.8969 | + | 11.8812i | −2.32299 | + | 0.493768i | ||||
\(580\) | 0.981837 | − | 16.6210i | 0.0407686 | − | 0.690147i | ||||
\(581\) | 1.20928 | − | 10.1049i | 0.0501694 | − | 0.419222i | ||||
\(582\) | 25.5493 | + | 25.5493i | 1.05905 | + | 1.05905i | ||||
\(583\) | 0.943239 | + | 17.9981i | 0.0390650 | + | 0.745404i | ||||
\(584\) | 13.1757 | − | 5.86620i | 0.545214 | − | 0.242745i | ||||
\(585\) | 7.83668 | + | 3.55169i | 0.324007 | + | 0.146844i | ||||
\(586\) | 11.4184 | − | 25.6460i | 0.471688 | − | 1.05943i | ||||
\(587\) | 8.46432 | − | 1.34062i | 0.349360 | − | 0.0553332i | 0.0207114 | − | 0.999785i | \(-0.493407\pi\) |
0.328648 | + | 0.944452i | \(0.393407\pi\) | |||||||
\(588\) | 22.5483 | + | 4.23958i | 0.929878 | + | 0.174837i | ||||
\(589\) | −1.56855 | − | 2.15893i | −0.0646311 | − | 0.0889571i | ||||
\(590\) | 12.4090 | − | 3.94097i | 0.510869 | − | 0.162247i | ||||
\(591\) | 3.94458 | + | 8.85966i | 0.162258 | + | 0.364438i | ||||
\(592\) | −2.20426 | − | 3.39426i | −0.0905945 | − | 0.139503i | ||||
\(593\) | 9.02332 | − | 33.6755i | 0.370543 | − | 1.38289i | −0.489205 | − | 0.872169i | \(-0.662713\pi\) |
0.859748 | − | 0.510718i | \(-0.170620\pi\) | |||||||
\(594\) | 10.9342 | + | 33.6521i | 0.448637 | + | 1.38076i | ||||
\(595\) | 15.1423 | + | 31.3302i | 0.620774 | + | 1.28441i | ||||
\(596\) | 0.626491 | − | 1.92814i | 0.0256621 | − | 0.0789797i | ||||
\(597\) | −5.86784 | − | 3.81062i | −0.240155 | − | 0.155958i | ||||
\(598\) | −1.58180 | + | 1.95336i | −0.0646847 | + | 0.0798789i | ||||
\(599\) | 1.10997 | + | 0.640843i | 0.0453522 | + | 0.0261841i | 0.522505 | − | 0.852636i | \(-0.324998\pi\) |
−0.477152 | + | 0.878821i | \(0.658331\pi\) | |||||||
\(600\) | −16.3197 | + | 1.49632i | −0.666250 | + | 0.0610870i | ||||
\(601\) | 17.4316i | 0.711050i | 0.934667 | + | 0.355525i | \(0.115698\pi\) | ||||
−0.934667 | + | 0.355525i | \(0.884302\pi\) | |||||||
\(602\) | −21.9897 | − | 1.46991i | −0.896232 | − | 0.0599090i | ||||
\(603\) | 45.6154 | + | 89.5252i | 1.85760 | + | 3.64575i | ||||
\(604\) | 2.00242 | + | 9.42066i | 0.0814774 | + | 0.383321i | ||||
\(605\) | 3.45116 | − | 12.5459i | 0.140310 | − | 0.510063i | ||||
\(606\) | −40.3733 | − | 8.58162i | −1.64006 | − | 0.348604i | ||||
\(607\) | 18.0946 | + | 4.84844i | 0.734439 | + | 0.196792i | 0.606605 | − | 0.795003i | \(-0.292531\pi\) |
0.127834 | + | 0.991796i | \(0.459198\pi\) | |||||||
\(608\) | −0.630317 | + | 1.23707i | −0.0255627 | + | 0.0501697i | ||||
\(609\) | 0.928901 | − | 64.5642i | 0.0376410 | − | 2.61627i | ||||
\(610\) | −13.0423 | + | 22.2473i | −0.528068 | + | 0.900766i | ||||
\(611\) | 0.891972 | + | 0.397132i | 0.0360853 | + | 0.0160662i | ||||
\(612\) | 16.3210 | − | 42.5177i | 0.659738 | − | 1.71868i | ||||
\(613\) | 13.0701 | − | 34.0487i | 0.527895 | − | 1.37521i | −0.367535 | − | 0.930010i | \(-0.619798\pi\) |
0.895430 | − | 0.445203i | \(-0.146868\pi\) | |||||||
\(614\) | −17.0632 | − | 7.59701i | −0.688613 | − | 0.306590i | ||||
\(615\) | 25.6019 | − | 11.1955i | 1.03237 | − | 0.451446i | ||||
\(616\) | 0.0866331 | − | 6.02152i | 0.00349055 | − | 0.242614i | ||||
\(617\) | 12.2764 | − | 24.0938i | 0.494229 | − | 0.969979i | −0.500333 | − | 0.865833i | \(-0.666789\pi\) |
0.994562 | − | 0.104146i | \(-0.0332109\pi\) | |||||||
\(618\) | −10.9276 | − | 2.92804i | −0.439573 | − | 0.117783i | ||||
\(619\) | −4.16763 | − | 0.885857i | −0.167511 | − | 0.0356056i | 0.123392 | − | 0.992358i | \(-0.460623\pi\) |
−0.290904 | + | 0.956752i | \(0.593956\pi\) | |||||||
\(620\) | 4.29338 | − | 0.196413i | 0.172426 | − | 0.00788815i | ||||
\(621\) | 16.3476 | + | 76.9092i | 0.656005 | + | 3.08626i | ||||
\(622\) | −11.1803 | − | 21.9425i | −0.448287 | − | 0.879813i | ||||
\(623\) | −0.188162 | − | 0.0125778i | −0.00753854 | − | 0.000503917i | ||||
\(624\) | 1.62881i | 0.0652046i | ||||||||
\(625\) | −8.35448 | + | 23.5627i | −0.334179 | + | 0.942509i | ||||
\(626\) | −0.529293 | − | 0.305588i | −0.0211548 | − | 0.0122137i | ||||
\(627\) | 6.51849 | − | 8.04967i | 0.260324 | − | 0.321473i | ||||
\(628\) | −9.87456 | − | 6.41262i | −0.394038 | − | 0.255891i | ||||
\(629\) | 7.35616 | − | 22.6399i | 0.293309 | − | 0.902713i | ||||
\(630\) | −45.3843 | + | 6.21289i | −1.80815 | + | 0.247528i | ||||
\(631\) | 1.42544 | + | 4.38707i | 0.0567461 | + | 0.174646i | 0.975412 | − | 0.220388i | \(-0.0707325\pi\) |
−0.918666 | + | 0.395035i | \(0.870733\pi\) | |||||||
\(632\) | −4.43915 | + | 16.5671i | −0.176580 | + | 0.659005i | ||||
\(633\) | 11.4680 | + | 17.6592i | 0.455812 | + | 0.701888i | ||||
\(634\) | 2.17107 | + | 4.87631i | 0.0862243 | + | 0.193663i | ||||
\(635\) | 25.2693 | − | 34.2986i | 1.00278 | − | 1.36110i | ||||
\(636\) | 15.2545 | + | 20.9960i | 0.604881 | + | 0.832547i | ||||
\(637\) | −2.63930 | − | 2.26604i | −0.104573 | − | 0.0897837i | ||||
\(638\) | −16.7398 | + | 2.65132i | −0.662734 | + | 0.104967i | ||||
\(639\) | −3.41640 | + | 7.67335i | −0.135151 | + | 0.303553i | ||||
\(640\) | −1.10514 | − | 1.94388i | −0.0436846 | − | 0.0768385i | ||||
\(641\) | 40.5690 | − | 18.0625i | 1.60238 | − | 0.713426i | 0.605766 | − | 0.795643i | \(-0.292867\pi\) |
0.996614 | + | 0.0822176i | \(0.0262002\pi\) | |||||||
\(642\) | 2.36552 | + | 45.1367i | 0.0933594 | + | 1.78140i | ||||
\(643\) | 0.647773 | + | 0.647773i | 0.0255457 | + | 0.0255457i | 0.719764 | − | 0.694219i | \(-0.244250\pi\) |
−0.694219 | + | 0.719764i | \(0.744250\pi\) | |||||||
\(644\) | 1.59010 | − | 13.2871i | 0.0626589 | − | 0.523587i | ||||
\(645\) | 59.0731 | − | 15.4087i | 2.32600 | − | 0.606717i | ||||
\(646\) | −7.98789 | + | 1.69788i | −0.314279 | + | 0.0668021i | ||||
\(647\) | −4.00850 | − | 0.210077i | −0.157591 | − | 0.00825897i | −0.0266225 | − | 0.999646i | \(-0.508475\pi\) |
−0.130968 | + | 0.991387i | \(0.541809\pi\) | |||||||
\(648\) | 21.5453 | + | 17.4471i | 0.846381 | + | 0.685386i | ||||
\(649\) | −6.62658 | − | 11.4776i | −0.260116 | − | 0.450534i | ||||
\(650\) | 2.25629 | + | 1.04070i | 0.0884989 | + | 0.0408198i | ||||
\(651\) | 16.5998 | − | 1.50361i | 0.650598 | − | 0.0589312i | ||||
\(652\) | 6.79294 | + | 1.07590i | 0.266032 | + | 0.0421353i | ||||
\(653\) | 20.0851 | − | 30.9283i | 0.785991 | − | 1.21032i | −0.187651 | − | 0.982236i | \(-0.560087\pi\) |
0.973641 | − | 0.228084i | \(-0.0732461\pi\) | |||||||
\(654\) | −23.8361 | − | 26.4726i | −0.932064 | − | 1.03516i | ||||
\(655\) | 3.20650 | − | 1.20648i | 0.125288 | − | 0.0471410i | ||||
\(656\) | 2.83333 | + | 2.55114i | 0.110623 | + | 0.0996053i | ||||
\(657\) | −78.9644 | + | 78.9644i | −3.08070 | + | 3.08070i | ||||
\(658\) | −5.14546 | + | 0.739247i | −0.200591 | + | 0.0288188i | ||||
\(659\) | 4.41840 | − | 6.08141i | 0.172117 | − | 0.236898i | −0.714241 | − | 0.699900i | \(-0.753228\pi\) |
0.886357 | + | 0.463002i | \(0.153228\pi\) | |||||||
\(660\) | 5.04950 | + | 15.8994i | 0.196551 | + | 0.618884i | ||||
\(661\) | 16.0065 | − | 1.68235i | 0.622580 | − | 0.0654358i | 0.212014 | − | 0.977267i | \(-0.431998\pi\) |
0.410566 | + | 0.911831i | \(0.365331\pi\) | |||||||
\(662\) | 33.2915 | + | 12.7794i | 1.29391 | + | 0.496685i | ||||
\(663\) | −7.44540 | + | 6.02917i | −0.289156 | + | 0.234154i | ||||
\(664\) | −3.11192 | + | 2.26094i | −0.120766 | + | 0.0877417i | ||||
\(665\) | 5.36656 | + | 6.21830i | 0.208106 | + | 0.241135i | ||||
\(666\) | 25.3521 | + | 18.4194i | 0.982375 | + | 0.713737i | ||||
\(667\) | −37.6099 | + | 1.97105i | −1.45626 | + | 0.0763194i | ||||
\(668\) | −7.75742 | + | 2.07859i | −0.300144 | + | 0.0804232i | ||||
\(669\) | 3.96664 | − | 18.6616i | 0.153359 | − | 0.721498i | ||||
\(670\) | 13.0012 | + | 25.9409i | 0.502280 | + | 1.00219i | ||||
\(671\) | 24.9660 | + | 8.11194i | 0.963801 | + | 0.313158i | ||||
\(672\) | −4.61789 | − | 7.33998i | −0.178139 | − | 0.283146i | ||||
\(673\) | −0.886383 | + | 5.59640i | −0.0341676 | + | 0.215725i | −0.998865 | − | 0.0476361i | \(-0.984831\pi\) |
0.964697 | + | 0.263362i | \(0.0848312\pi\) | |||||||
\(674\) | −11.1989 | + | 6.46568i | −0.431365 | + | 0.249049i | ||||
\(675\) | 69.7183 | − | 34.3641i | 2.68346 | − | 1.32268i | ||||
\(676\) | −6.37652 | + | 11.0445i | −0.245251 | + | 0.424787i | ||||
\(677\) | −36.3085 | + | 13.9375i | −1.39545 | + | 0.535663i | −0.935830 | − | 0.352452i | \(-0.885348\pi\) |
−0.459620 | + | 0.888115i | \(0.652015\pi\) | |||||||
\(678\) | 3.23786 | − | 1.64977i | 0.124349 | − | 0.0633592i | ||||
\(679\) | 21.3918 | + | 19.8259i | 0.820942 | + | 0.760847i | ||||
\(680\) | 4.79482 | − | 12.2471i | 0.183873 | − | 0.469655i | ||||
\(681\) | 27.6205 | − | 30.6756i | 1.05842 | − | 1.17549i | ||||
\(682\) | −1.13231 | − | 4.22585i | −0.0433585 | − | 0.161816i | ||||
\(683\) | −12.9304 | + | 8.39711i | −0.494769 | + | 0.321307i | −0.767790 | − | 0.640701i | \(-0.778644\pi\) |
0.273021 | + | 0.962008i | \(0.411977\pi\) | |||||||
\(684\) | 1.12370 | − | 10.6913i | 0.0429657 | − | 0.408792i | ||||
\(685\) | −13.6978 | + | 12.1697i | −0.523366 | + | 0.464982i | ||||
\(686\) | 18.3181 | + | 2.72878i | 0.699389 | + | 0.104185i | ||||
\(687\) | 6.82980 | + | 43.1217i | 0.260573 | + | 1.64519i | ||||
\(688\) | 5.24215 | + | 6.47352i | 0.199855 | + | 0.246801i | ||||
\(689\) | −0.411305 | − | 3.91330i | −0.0156695 | − | 0.149085i | ||||
\(690\) | 7.46610 | + | 36.3098i | 0.284230 | + | 1.38229i | ||||
\(691\) | −7.59918 | − | 0.798706i | −0.289086 | − | 0.0303842i | −0.0411246 | − | 0.999154i | \(-0.513094\pi\) |
−0.247962 | + | 0.968770i | \(0.579761\pi\) | |||||||
\(692\) | −10.0930 | − | 5.14262i | −0.383677 | − | 0.195493i | ||||
\(693\) | 16.0823 | + | 43.7676i | 0.610916 | + | 1.66260i | ||||
\(694\) | 9.17912 | − | 2.98248i | 0.348435 | − | 0.113213i | ||||
\(695\) | 2.46303 | + | 16.2489i | 0.0934280 | + | 0.616357i | ||||
\(696\) | −18.1368 | + | 16.3305i | −0.687475 | + | 0.619005i | ||||
\(697\) | −1.17365 | + | 22.3946i | −0.0444552 | + | 0.848256i | ||||
\(698\) | −1.04725 | − | 2.72819i | −0.0396391 | − | 0.103263i | ||||
\(699\) | 49.2671 | 1.86345 | ||||||||
\(700\) | −13.1181 | + | 1.70710i | −0.495819 | + | 0.0645225i | ||||
\(701\) | −16.9486 | −0.640141 | −0.320070 | − | 0.947394i | \(-0.603707\pi\) | ||||
−0.320070 | + | 0.947394i | \(0.603707\pi\) | |||||||
\(702\) | −2.76849 | − | 7.21216i | −0.104490 | − | 0.272205i | ||||
\(703\) | 0.294081 | − | 5.61139i | 0.0110915 | − | 0.211638i | ||||
\(704\) | −1.69151 | + | 1.52305i | −0.0637514 | + | 0.0574020i | ||||
\(705\) | 12.8735 | − | 6.45199i | 0.484843 | − | 0.242996i | ||||
\(706\) | 8.46742 | − | 2.75123i | 0.318676 | − | 0.103544i | ||||
\(707\) | −32.8294 | − | 5.68495i | −1.23468 | − | 0.213804i | ||||
\(708\) | −17.0043 | − | 8.66412i | −0.639061 | − | 0.325618i | ||||
\(709\) | 14.8119 | + | 1.55679i | 0.556273 | + | 0.0584666i | 0.378494 | − | 0.925604i | \(-0.376442\pi\) |
0.177779 | + | 0.984070i | \(0.443109\pi\) | |||||||
\(710\) | −1.00132 | + | 2.20938i | −0.0375789 | + | 0.0829166i | ||||
\(711\) | −13.8816 | − | 132.075i | −0.520603 | − | 4.95320i | ||||
\(712\) | 0.0448562 | + | 0.0553928i | 0.00168106 | + | 0.00207593i | ||||
\(713\) | −1.52080 | − | 9.60193i | −0.0569542 | − | 0.359595i | ||||
\(714\) | 16.4581 | − | 48.2782i | 0.615928 | − | 1.80677i | ||||
\(715\) | 0.542292 | − | 2.47046i | 0.0202806 | − | 0.0923901i | ||||
\(716\) | 0.119452 | − | 1.13651i | 0.00446412 | − | 0.0424732i | ||||
\(717\) | 71.9063 | − | 46.6965i | 2.68539 | − | 1.74391i | ||||
\(718\) | −0.708745 | − | 2.64507i | −0.0264501 | − | 0.0987132i | ||||
\(719\) | −5.00566 | + | 5.55935i | −0.186680 | + | 0.207329i | −0.829219 | − | 0.558924i | \(-0.811214\pi\) |
0.642539 | + | 0.766253i | \(0.277881\pi\) | |||||||
\(720\) | 13.3825 | + | 10.9850i | 0.498738 | + | 0.409386i | ||||
\(721\) | −8.90428 | − | 2.02697i | −0.331613 | − | 0.0754883i | ||||
\(722\) | 15.2116 | − | 7.75069i | 0.566117 | − | 0.288451i | ||||
\(723\) | 9.96328 | − | 3.82455i | 0.370538 | − | 0.142236i | ||||
\(724\) | 0.770892 | − | 1.33522i | 0.0286500 | − | 0.0496232i | ||||
\(725\) | 11.0333 | + | 35.5579i | 0.409767 | + | 1.32059i | ||||
\(726\) | −16.5176 | + | 9.53645i | −0.613026 | + | 0.353931i | ||||
\(727\) | 2.41577 | − | 15.2526i | 0.0895959 | − | 0.565687i | −0.901525 | − | 0.432726i | \(-0.857552\pi\) |
0.991121 | − | 0.132960i | \(-0.0424483\pi\) | |||||||
\(728\) | 0.0499156 | + | 1.31385i | 0.00185000 | + | 0.0486945i | ||||
\(729\) | −58.7795 | − | 19.0986i | −2.17702 | − | 0.707356i | ||||
\(730\) | −22.9551 | + | 22.6521i | −0.849607 | + | 0.838393i | ||||
\(731\) | −10.1867 | + | 47.9245i | −0.376767 | + | 1.77255i | ||||
\(732\) | 36.5127 | − | 9.78356i | 1.34955 | − | 0.361611i | ||||
\(733\) | −25.9632 | + | 1.36067i | −0.958971 | + | 0.0502575i | −0.525394 | − | 0.850859i | \(-0.676082\pi\) |
−0.433577 | + | 0.901117i | \(0.642749\pi\) | |||||||
\(734\) | −1.77833 | − | 1.29203i | −0.0656392 | − | 0.0476897i | ||||
\(735\) | −50.5282 | + | 8.88294i | −1.86376 | + | 0.327652i | ||||
\(736\) | −4.09193 | + | 2.97296i | −0.150830 | + | 0.109585i | ||||
\(737\) | 22.9544 | − | 18.5881i | 0.845537 | − | 0.684702i | ||||
\(738\) | −27.5599 | − | 10.5793i | −1.01450 | − | 0.389428i | ||||
\(739\) | 44.4223 | − | 4.66897i | 1.63410 | − | 0.171751i | 0.757455 | − | 0.652887i | \(-0.226442\pi\) |
0.876646 | + | 0.481136i | \(0.159776\pi\) | |||||||
\(740\) | 7.28594 | + | 5.36786i | 0.267836 | + | 0.197326i | ||||
\(741\) | −1.32923 | + | 1.82953i | −0.0488306 | + | 0.0672096i | ||||
\(742\) | 12.9482 | + | 16.4686i | 0.475344 | + | 0.604581i | ||||
\(743\) | −7.07858 | + | 7.07858i | −0.259688 | + | 0.259688i | −0.824927 | − | 0.565239i | \(-0.808784\pi\) |
0.565239 | + | 0.824927i | \(0.308784\pi\) | |||||||
\(744\) | −4.68168 | − | 4.21541i | −0.171639 | − | 0.154544i | ||||
\(745\) | 0.207174 | + | 4.52859i | 0.00759026 | + | 0.165915i | ||||
\(746\) | 17.4197 | + | 19.3466i | 0.637781 | + | 0.708328i | ||||
\(747\) | 16.2212 | − | 24.9785i | 0.593503 | − | 0.913914i | ||||
\(748\) | −13.2232 | − | 2.09435i | −0.483489 | − | 0.0765771i | ||||
\(749\) | 3.29133 | + | 36.3362i | 0.120263 | + | 1.32770i | ||||
\(750\) | 32.9761 | − | 15.9825i | 1.20412 | − | 0.583597i | ||||
\(751\) | 6.24837 | + | 10.8225i | 0.228006 | + | 0.394918i | 0.957217 | − | 0.289371i | \(-0.0934460\pi\) |
−0.729211 | + | 0.684289i | \(0.760113\pi\) | |||||||
\(752\) | 1.52691 | + | 1.23647i | 0.0556807 | + | 0.0450894i | ||||
\(753\) | 19.7460 | + | 1.03485i | 0.719586 | + | 0.0377119i | ||||
\(754\) | 3.61944 | − | 0.769336i | 0.131812 | − | 0.0280176i | ||||
\(755\) | −11.6090 | − | 18.1390i | −0.422495 | − | 0.660146i | ||||
\(756\) | 32.9232 | + | 24.6514i | 1.19740 | + | 0.896565i | ||||
\(757\) | 17.2713 | + | 17.2713i | 0.627736 | + | 0.627736i | 0.947498 | − | 0.319762i | \(-0.103603\pi\) |
−0.319762 | + | 0.947498i | \(0.603603\pi\) | |||||||
\(758\) | 1.30850 | + | 24.9676i | 0.0475267 | + | 0.906863i | ||||
\(759\) | 34.4718 | − | 15.3478i | 1.25125 | − | 0.557090i | ||||
\(760\) | 0.345019 | − | 3.08531i | 0.0125151 | − | 0.111916i | ||||
\(761\) | −10.5374 | + | 23.6674i | −0.381981 | + | 0.857943i | 0.615575 | + | 0.788078i | \(0.288924\pi\) |
−0.997556 | + | 0.0698653i | \(0.977743\pi\) | |||||||
\(762\) | −61.6773 | + | 9.76873i | −2.23433 | + | 0.353884i | ||||
\(763\) | −20.0382 | − | 20.6232i | −0.725431 | − | 0.746610i | ||||
\(764\) | 2.34213 | + | 3.22367i | 0.0847353 | + | 0.116628i | ||||
\(765\) | −0.676575 | + | 101.834i | −0.0244616 | + | 3.68182i | ||||
\(766\) | −11.0379 | − | 24.7915i | −0.398815 | − | 0.895752i | ||||
\(767\) | 1.57593 | + | 2.42671i | 0.0569034 | + | 0.0876235i | ||||
\(768\) | −0.848314 | + | 3.16595i | −0.0306109 | + | 0.114241i | ||||
\(769\) | −6.30891 | − | 19.4168i | −0.227505 | − | 0.700189i | −0.998028 | − | 0.0627761i | \(-0.980005\pi\) |
0.770522 | − | 0.637413i | \(-0.219995\pi\) | |||||||
\(770\) | 4.56033 | + | 12.6702i | 0.164343 | + | 0.456603i | ||||
\(771\) | 2.86275 | − | 8.81065i | 0.103100 | − | 0.317308i | ||||
\(772\) | 14.6222 | + | 9.49579i | 0.526266 | + | 0.341761i | ||||
\(773\) | −1.66856 | + | 2.06051i | −0.0600141 | + | 0.0741112i | −0.806269 | − | 0.591549i | \(-0.798517\pi\) |
0.746255 | + | 0.665660i | \(0.231850\pi\) | |||||||
\(774\) | −55.8562 | − | 32.2486i | −2.00771 | − | 1.15915i | ||||
\(775\) | −8.83063 | + | 3.79187i | −0.317206 | + | 0.136208i | ||||
\(776\) | − | 11.0238i | − | 0.395733i | ||||||
\(777\) | 29.1563 | + | 19.5364i | 1.04598 | + | 0.700863i | ||||
\(778\) | 8.51574 | + | 16.7131i | 0.305304 | + | 0.599193i | ||||
\(779\) | 1.10056 | + | 5.17774i | 0.0394318 | + | 0.185512i | ||||
\(780\) | −1.28260 | − | 3.40882i | −0.0459246 | − | 0.122055i | ||||
\(781\) | 2.41523 | + | 0.513373i | 0.0864237 | + | 0.0183699i | ||||
\(782\) | −28.7362 | − | 7.69984i | −1.02760 | − | 0.275346i | ||||
\(783\) | 52.5506 | − | 103.136i | 1.87801 | − | 3.68579i | ||||
\(784\) | −3.94987 | − | 5.77914i | −0.141067 | − | 0.206398i | ||||
\(785\) | 25.7154 | + | 5.64479i | 0.917820 | + | 0.201471i | ||||
\(786\) | −4.58763 | − | 2.04254i | −0.163635 | − | 0.0728552i | ||||
\(787\) | 0.666193 | − | 1.73549i | 0.0237472 | − | 0.0618636i | −0.921194 | − | 0.389103i | \(-0.872785\pi\) |
0.944941 | + | 0.327239i | \(0.106118\pi\) | |||||||
\(788\) | 1.06037 | − | 2.76235i | 0.0377740 | − | 0.0984045i | ||||
\(789\) | 9.17327 | + | 4.08420i | 0.326577 | + | 0.145401i | ||||
\(790\) | −3.75539 | − | 38.1677i | −0.133611 | − | 1.35795i | ||||
\(791\) | 2.56121 | − | 1.42999i | 0.0910660 | − | 0.0508445i | ||||
\(792\) | 8.00115 | − | 15.7031i | 0.284308 | − | 0.557987i | ||||
\(793\) | −5.53597 | − | 1.48336i | −0.196588 | − | 0.0526756i | ||||
\(794\) | −16.4051 | − | 3.48702i | −0.582196 | − | 0.123750i | ||||
\(795\) | −48.4584 | − | 31.9290i | −1.71864 | − | 1.13240i | ||||
\(796\) | 0.443819 | + | 2.08800i | 0.0157307 | + | 0.0740073i | ||||
\(797\) | 16.5694 | + | 32.5192i | 0.586917 | + | 1.15189i | 0.973297 | + | 0.229549i | \(0.0737252\pi\) |
−0.386380 | + | 0.922340i | \(0.626275\pi\) | |||||||
\(798\) | 0.803019 | − | 12.0131i | 0.0284266 | − | 0.425258i | ||||
\(799\) | 11.5565i | 0.408840i | ||||||||
\(800\) | 3.84358 | + | 3.19795i | 0.135891 | + | 0.113065i | ||||
\(801\) | −0.477952 | − | 0.275946i | −0.0168876 | − | 0.00975006i | ||||
\(802\) | −16.2037 | + | 20.0099i | −0.572171 | + | 0.706573i | ||||
\(803\) | 27.5320 | + | 17.8795i | 0.971582 | + | 0.630953i | ||||
\(804\) | 13.1433 | − | 40.4509i | 0.463528 | − | 1.42659i | ||||
\(805\) | 7.13512 | + | 29.0598i | 0.251480 | + | 1.02422i | ||||
\(806\) | 0.295162 | + | 0.908415i | 0.0103966 | + | 0.0319975i | ||||
\(807\) | 5.49925 | − | 20.5235i | 0.193583 | − | 0.722460i | ||||
\(808\) | 6.85865 | + | 10.5614i | 0.241286 | + | 0.371548i | ||||
\(809\) | 3.25720 | + | 7.31580i | 0.114517 | + | 0.257210i | 0.961707 | − | 0.274081i | \(-0.0883737\pi\) |
−0.847189 | + | 0.531291i | \(0.821707\pi\) | |||||||
\(810\) | −58.8294 | − | 19.5479i | −2.06705 | − | 0.686842i | ||||
\(811\) | 11.9374 | + | 16.4304i | 0.419179 | + | 0.576950i | 0.965427 | − | 0.260673i | \(-0.0839445\pi\) |
−0.546248 | + | 0.837623i | \(0.683945\pi\) | |||||||
\(812\) | −14.1293 | + | 13.7285i | −0.495841 | + | 0.481775i | ||||
\(813\) | −60.0224 | + | 9.50661i | −2.10508 | + | 0.333411i | ||||
\(814\) | 3.74688 | − | 8.41562i | 0.131328 | − | 0.294967i | ||||
\(815\) | −15.0637 | + | 3.09742i | −0.527657 | + | 0.108498i | ||||
\(816\) | −17.6119 | + | 7.84132i | −0.616539 | + | 0.274501i | ||||
\(817\) | 0.605272 | + | 11.5493i | 0.0211758 | + | 0.404058i | ||||
\(818\) | 6.95572 | + | 6.95572i | 0.243201 | + | 0.243201i | ||||
\(819\) | −4.00650 | − | 9.35880i | −0.139998 | − | 0.327023i | ||||
\(820\) | −7.93856 | − | 3.10800i | −0.277226 | − | 0.108536i | ||||
\(821\) | −36.5778 | + | 7.77486i | −1.27658 | + | 0.271344i | −0.795832 | − | 0.605517i | \(-0.792966\pi\) |
−0.480743 | + | 0.876861i | \(0.659633\pi\) | |||||||
\(822\) | 26.8211 | + | 1.40563i | 0.935493 | + | 0.0490271i | ||||
\(823\) | 20.2432 | + | 16.3926i | 0.705632 | + | 0.571409i | 0.913545 | − | 0.406738i | \(-0.133334\pi\) |
−0.207913 | + | 0.978147i | \(0.566667\pi\) | |||||||
\(824\) | 1.72580 | + | 2.98917i | 0.0601211 | + | 0.104133i | ||||
\(825\) | −23.0877 | − | 29.2985i | −0.803810 | − | 1.02004i | ||||
\(826\) | −13.9817 | − | 6.46765i | −0.486486 | − | 0.225038i | ||||
\(827\) | 2.16353 | + | 0.342670i | 0.0752333 | + | 0.0119158i | 0.193938 | − | 0.981014i | \(-0.437874\pi\) |
−0.118704 | + | 0.992930i | \(0.537874\pi\) | |||||||
\(828\) | 21.3296 | − | 32.8447i | 0.741254 | − | 1.14143i | ||||
\(829\) | −23.2737 | − | 25.8481i | −0.808330 | − | 0.897742i | 0.188101 | − | 0.982150i | \(-0.439767\pi\) |
−0.996431 | + | 0.0844080i | \(0.973100\pi\) | |||||||
\(830\) | 4.73234 | − | 7.18224i | 0.164262 | − | 0.249299i | ||||
\(831\) | −50.5269 | − | 45.4946i | −1.75276 | − | 1.57819i | ||||
\(832\) | 0.351394 | − | 0.351394i | 0.0121824 | − | 0.0121824i | ||||
\(833\) | 11.7961 | − | 39.4471i | 0.408710 | − | 1.36676i | ||||
\(834\) | 14.1596 | − | 19.4890i | 0.490308 | − | 0.674850i | ||||
\(835\) | 14.5982 | − | 10.4587i | 0.505190 | − | 0.361938i | ||||
\(836\) | −3.14289 | + | 0.330331i | −0.108699 | + | 0.0114247i | ||||
\(837\) | 27.8948 | + | 10.7078i | 0.964186 | + | 0.370116i | ||||
\(838\) | 24.9828 | − | 20.2307i | 0.863016 | − | 0.698856i | ||||
\(839\) | −6.31225 | + | 4.58612i | −0.217923 | + | 0.158330i | −0.691391 | − | 0.722480i | \(-0.743002\pi\) |
0.473468 | + | 0.880811i | \(0.343002\pi\) | |||||||
\(840\) | 15.4443 | + | 11.7250i | 0.532879 | + | 0.404550i | ||||
\(841\) | 21.3937 | + | 15.5434i | 0.737712 | + | 0.535979i | ||||
\(842\) | 3.61642 | − | 0.189529i | 0.124630 | − | 0.00653159i | ||||
\(843\) | 86.8141 | − | 23.2618i | 2.99004 | − | 0.801178i | ||||
\(844\) | 1.33566 | − | 6.28380i | 0.0459754 | − | 0.216297i | ||||
\(845\) | 4.64802 | − | 28.1353i | 0.159897 | − | 0.967885i | ||||
\(846\) | −14.4684 | − | 4.70107i | −0.497434 | − | 0.161626i | ||||
\(847\) | −13.0314 | + | 8.19860i | −0.447764 | + | 0.281707i | ||||
\(848\) | 1.23866 | − | 7.82059i | 0.0425357 | − | 0.268560i | ||||
\(849\) | −34.3277 | + | 19.8191i | −1.17812 | + | 0.680191i | ||||
\(850\) | −0.390768 | + | 29.4067i | −0.0134032 | + | 1.00864i | ||||
\(851\) | 10.2351 | − | 17.7278i | 0.350856 | − | 0.607701i | ||||
\(852\) | 3.31943 | − | 1.27421i | 0.113722 | − | 0.0436538i | ||||
\(853\) | 24.6814 | − | 12.5758i | 0.845076 | − | 0.430588i | 0.0228431 | − | 0.999739i | \(-0.492728\pi\) |
0.822233 | + | 0.569151i | \(0.192728\pi\) | |||||||
\(854\) | 29.1525 | − | 9.01067i | 0.997578 | − | 0.308339i | ||||
\(855\) | 6.06713 | + | 23.2599i | 0.207491 | + | 0.795471i | ||||
\(856\) | 9.22733 | − | 10.2480i | 0.315384 | − | 0.350269i | ||||
\(857\) | 4.06202 | + | 15.1597i | 0.138756 | + | 0.517844i | 0.999954 | + | 0.00957488i | \(0.00304782\pi\) |
−0.861198 | + | 0.508269i | \(0.830286\pi\) | |||||||
\(858\) | −3.10931 | + | 2.01921i | −0.106150 | + | 0.0689347i | ||||
\(859\) | 5.05731 | − | 48.1171i | 0.172553 | − | 1.64174i | −0.475195 | − | 0.879881i | \(-0.657622\pi\) |
0.647748 | − | 0.761855i | \(-0.275711\pi\) | |||||||
\(860\) | −16.0685 | − | 9.42003i | −0.547931 | − | 0.321220i | ||||
\(861\) | −31.2939 | − | 10.6681i | −1.06649 | − | 0.363568i | ||||
\(862\) | 1.51424 | + | 9.56055i | 0.0515753 | + | 0.325634i | ||||
\(863\) | 5.13880 | + | 6.34588i | 0.174927 | + | 0.216016i | 0.857067 | − | 0.515205i | \(-0.172284\pi\) |
−0.682141 | + | 0.731221i | \(0.738951\pi\) | |||||||
\(864\) | −1.62494 | − | 15.4603i | −0.0552817 | − | 0.525970i | ||||
\(865\) | 25.1724 | + | 2.81493i | 0.855886 | + | 0.0957105i | ||||
\(866\) | 31.5653 | + | 3.31764i | 1.07263 | + | 0.112738i | ||||
\(867\) | −51.3883 | − | 26.1836i | −1.74524 | − | 0.889243i | ||||
\(868\) | −3.90558 | − | 3.25681i | −0.132564 | − | 0.110543i | ||||
\(869\) | −37.1289 | + | 12.0639i | −1.25951 | + | 0.409240i | ||||
\(870\) | 25.0978 | − | 48.4587i | 0.850897 | − | 1.64290i | ||||
\(871\) | −4.79231 | + | 4.31501i | −0.162381 | + | 0.146209i | ||||
\(872\) | −0.568805 | + | 10.8534i | −0.0192622 | + | 0.367544i | ||||
\(873\) | 30.5890 | + | 79.6870i | 1.03528 | + | 2.69700i | ||||
\(874\) | −7.02236 | −0.237535 | ||||||||
\(875\) | 26.1098 | − | 13.9025i | 0.882671 | − | 0.469992i | ||||
\(876\) | 47.2720 | 1.59717 | ||||||||
\(877\) | 7.17601 | + | 18.6942i | 0.242317 | + | 0.631257i | 0.999766 | − | 0.0216374i | \(-0.00688793\pi\) |
−0.757449 | + | 0.652894i | \(0.773555\pi\) | |||||||
\(878\) | 0.847625 | − | 16.1737i | 0.0286060 | − | 0.545834i | ||||
\(879\) | 68.3792 | − | 61.5689i | 2.30637 | − | 2.07667i | ||||
\(880\) | 2.34073 | − | 4.51945i | 0.0789059 | − | 0.152351i | ||||
\(881\) | 3.33402 | − | 1.08329i | 0.112326 | − | 0.0364969i | −0.252315 | − | 0.967645i | \(-0.581192\pi\) |
0.364641 | + | 0.931148i | \(0.381192\pi\) | |||||||
\(882\) | 44.5881 | + | 30.8151i | 1.50136 | + | 1.03760i | ||||
\(883\) | −44.5117 | − | 22.6798i | −1.49794 | − | 0.763237i | −0.503052 | − | 0.864256i | \(-0.667790\pi\) |
−0.994884 | + | 0.101019i | \(0.967790\pi\) | |||||||
\(884\) | 2.90696 | + | 0.305534i | 0.0977717 | + | 0.0102762i | ||||
\(885\) | 42.4096 | + | 4.74251i | 1.42558 | + | 0.159418i | ||||
\(886\) | 3.55172 | + | 33.7924i | 0.119322 | + | 1.13528i | ||||
\(887\) | 7.89247 | + | 9.74639i | 0.265003 | + | 0.327252i | 0.892227 | − | 0.451587i | \(-0.149142\pi\) |
−0.627224 | + | 0.778839i | \(0.715809\pi\) | |||||||
\(888\) | −2.07514 | − | 13.1019i | −0.0696370 | − | 0.439671i | ||||
\(889\) | −49.4515 | + | 9.76989i | −1.65855 | + | 0.327672i | ||||
\(890\) | −0.137495 | − | 0.0806056i | −0.00460885 | − | 0.00270191i | ||||
\(891\) | −6.59611 | + | 62.7578i | −0.220978 | + | 2.10246i | ||||
\(892\) | −4.88174 | + | 3.17024i | −0.163453 | + | 0.106147i | ||||
\(893\) | 0.706025 | + | 2.63492i | 0.0236262 | + | 0.0881743i | ||||
\(894\) | 4.44635 | − | 4.93817i | 0.148708 | − | 0.165157i | ||||
\(895\) | 0.644948 | + | 2.47257i | 0.0215582 | + | 0.0826490i | ||||
\(896\) | −0.587255 | + | 2.57975i | −0.0196188 | + | 0.0861835i | ||||
\(897\) | −7.34043 | + | 3.74014i | −0.245090 | + | 0.124880i | ||||
\(898\) | 7.05071 | − | 2.70651i | 0.235285 | − | 0.0903175i | ||||
\(899\) | −7.15592 | + | 12.3944i | −0.238663 | + | 0.413377i | ||||
\(900\) | −36.6574 | − | 12.4516i | −1.22191 | − | 0.415053i | ||||
\(901\) | 40.3334 | − | 23.2865i | 1.34370 | − | 0.775786i | ||||
\(902\) | −1.35756 | + | 8.57128i | −0.0452017 | + | 0.285392i | ||||
\(903\) | −63.8834 | − | 33.7165i | −2.12591 | − | 1.12201i | ||||
\(904\) | −1.05444 | − | 0.342610i | −0.0350703 | − | 0.0113950i | ||||
\(905\) | −0.561924 | + | 3.40143i | −0.0186790 | + | 0.113067i | ||||
\(906\) | −6.56321 | + | 30.8775i | −0.218048 | + | 1.02584i | ||||
\(907\) | 27.0557 | − | 7.24955i | 0.898369 | − | 0.240717i | 0.220053 | − | 0.975488i | \(-0.429377\pi\) |
0.678316 | + | 0.734771i | \(0.262710\pi\) | |||||||
\(908\) | −12.5766 | + | 0.659113i | −0.417370 | + | 0.0218734i | ||||
\(909\) | −78.8843 | − | 57.3128i | −2.61643 | − | 1.90095i | ||||
\(910\) | −1.13905 | − | 2.71035i | −0.0377593 | − | 0.0898474i | ||||
\(911\) | −25.6386 | + | 18.6275i | −0.849445 | + | 0.617158i | −0.924993 | − | 0.379984i | \(-0.875929\pi\) |
0.0755477 | + | 0.997142i | \(0.475929\pi\) | |||||||
\(912\) | −3.53652 | + | 2.86381i | −0.117106 | + | 0.0948304i | ||||
\(913\) | −8.17382 | − | 3.13764i | −0.270514 | − | 0.103841i | ||||
\(914\) | 17.3556 | − | 1.82414i | 0.574071 | − | 0.0603373i | ||||
\(915\) | −68.7108 | + | 49.2272i | −2.27151 | + | 1.62740i | ||||
\(916\) | 7.82949 | − | 10.7764i | 0.258694 | − | 0.356061i | ||||
\(917\) | −3.76312 | − | 1.50699i | −0.124269 | − | 0.0497652i | ||||
\(918\) | 64.6553 | − | 64.6553i | 2.13394 | − | 2.13394i | ||||
\(919\) | −6.53071 | − | 5.88028i | −0.215428 | − | 0.193972i | 0.554350 | − | 0.832283i | \(-0.312967\pi\) |
−0.769779 | + | 0.638311i | \(0.779633\pi\) | |||||||
\(920\) | 6.22265 | − | 9.44407i | 0.205155 | − | 0.311362i | ||||
\(921\) | −40.9639 | − | 45.4950i | −1.34981 | − | 1.49911i | ||||
\(922\) | −0.0499869 | + | 0.0769731i | −0.00164623 | + | 0.00253497i | ||||
\(923\) | −0.532453 | − | 0.0843323i | −0.0175259 | − | 0.00277583i | ||||
\(924\) | 8.28690 | − | 17.9146i | 0.272619 | − | 0.589346i | ||||
\(925\) | −19.4751 | − | 5.49671i | −0.640338 | − | 0.180731i | ||||
\(926\) | 21.0148 | + | 36.3988i | 0.690590 | + | 1.19614i | ||||
\(927\) | −20.7695 | − | 16.8188i | −0.682160 | − | 0.552402i | ||||
\(928\) | 7.43587 | + | 0.389697i | 0.244094 | + | 0.0127924i | ||||
\(929\) | 23.8655 | − | 5.07277i | 0.783002 | − | 0.166432i | 0.200969 | − | 0.979598i | \(-0.435591\pi\) |
0.582033 | + | 0.813165i | \(0.302257\pi\) | |||||||
\(930\) | 13.1174 | + | 5.13553i | 0.430135 | + | 0.168401i | ||||
\(931\) | 0.279594 | − | 9.71473i | 0.00916333 | − | 0.318387i | ||||
\(932\) | −10.6287 | − | 10.6287i | −0.348155 | − | 0.348155i | ||||
\(933\) | −4.22441 | − | 80.6065i | −0.138301 | − | 2.63894i | ||||
\(934\) | −24.1876 | + | 10.7690i | −0.791443 | + | 0.352373i | ||||
\(935\) | 29.3231 | − | 6.02949i | 0.958969 | − | 0.197185i | ||||
\(936\) | −1.56504 | + | 3.51514i | −0.0511550 | + | 0.114896i | ||||
\(937\) | −19.5884 | + | 3.10250i | −0.639926 | + | 0.101354i | −0.467962 | − | 0.883749i | \(-0.655011\pi\) |
−0.171965 | + | 0.985103i | \(0.555011\pi\) | |||||||
\(938\) | 9.36216 | − | 33.0318i | 0.305686 | − | 1.07853i | ||||
\(939\) | −1.17746 | − | 1.62063i | −0.0384249 | − | 0.0528873i | ||||
\(940\) | −4.16922 | − | 1.38535i | −0.135985 | − | 0.0451852i | ||||
\(941\) | 12.1208 | + | 27.2237i | 0.395126 | + | 0.887467i | 0.996103 | + | 0.0882009i | \(0.0281117\pi\) |
−0.600977 | + | 0.799266i | \(0.705222\pi\) | |||||||
\(942\) | −21.0182 | − | 32.3652i | −0.684810 | − | 1.05452i | ||||
\(943\) | −4.99103 | + | 18.6268i | −0.162530 | + | 0.606571i | ||||
\(944\) | 1.79928 | + | 5.53762i | 0.0585617 | + | 0.180234i | ||||
\(945\) | −88.3143 | − | 25.6659i | −2.87286 | − | 0.834912i | ||||
\(946\) | −5.85899 | + | 18.0321i | −0.190492 | + | 0.586274i | ||||
\(947\) | −0.206239 | − | 0.133933i | −0.00670185 | − | 0.00435223i | 0.541284 | − | 0.840840i | \(-0.317938\pi\) |
−0.547986 | + | 0.836488i | \(0.684605\pi\) | |||||||
\(948\) | −35.3782 | + | 43.6884i | −1.14903 | + | 1.41893i | ||||
\(949\) | −6.20703 | − | 3.58363i | −0.201489 | − | 0.116330i | ||||
\(950\) | 1.70746 | + | 6.72871i | 0.0553973 | + | 0.218308i | ||||
\(951\) | 17.4953i | 0.567324i | ||||||||
\(952\) | −13.9660 | + | 6.86478i | −0.452641 | + | 0.222489i | ||||
\(953\) | −8.27253 | − | 16.2358i | −0.267974 | − | 0.525928i | 0.717331 | − | 0.696732i | \(-0.245363\pi\) |
−0.985305 | + | 0.170804i | \(0.945363\pi\) | |||||||
\(954\) | 12.7468 | + | 59.9690i | 0.412693 | + | 1.94157i | ||||
\(955\) | −7.44014 | − | 4.90227i | −0.240757 | − | 0.158634i | ||||
\(956\) | −25.5870 | − | 5.43869i | −0.827543 | − | 0.175900i | ||||
\(957\) | −53.6579 | − | 14.3776i | −1.73451 | − | 0.464762i | ||||
\(958\) | −10.1212 | + | 19.8640i | −0.327002 | + | 0.641778i | ||||
\(959\) | 21.6778 | + | 0.311884i | 0.700013 | + | 0.0100713i | ||||
\(960\) | −0.717648 | − | 7.29379i | −0.0231620 | − | 0.235406i | ||||
\(961\) | 24.9450 | + | 11.1062i | 0.804676 | + | 0.358265i | ||||
\(962\) | −0.720763 | + | 1.87765i | −0.0232383 | + | 0.0605380i | ||||
\(963\) | −38.2646 | + | 99.6827i | −1.23306 | + | 3.21223i | ||||
\(964\) | −2.97454 | − | 1.32435i | −0.0958036 | − | 0.0426545i | ||||
\(965\) | −38.0793 | − | 8.35880i | −1.22582 | − | 0.269079i | ||||
\(966\) | 22.4747 | − | 37.6655i | 0.723113 | − | 1.21187i | ||||
\(967\) | −7.65618 | + | 15.0261i | −0.246206 | + | 0.483207i | −0.980728 | − | 0.195378i | \(-0.937407\pi\) |
0.734522 | + | 0.678585i | \(0.237407\pi\) | |||||||
\(968\) | 5.62083 | + | 1.50610i | 0.180660 | + | 0.0484077i | ||||
\(969\) | −26.1814 | − | 5.56503i | −0.841067 | − | 0.178774i | ||||
\(970\) | 8.68070 | + | 23.0710i | 0.278720 | + | 0.740764i | ||||
\(971\) | 5.67208 | + | 26.6850i | 0.182026 | + | 0.856363i | 0.970463 | + | 0.241249i | \(0.0775570\pi\) |
−0.788438 | + | 0.615115i | \(0.789110\pi\) | |||||||
\(972\) | 20.0808 | + | 39.4108i | 0.644091 | + | 1.26410i | ||||
\(973\) | 10.8243 | − | 16.1544i | 0.347013 | − | 0.517887i | ||||
\(974\) | 19.9653i | 0.639730i | ||||||||
\(975\) | 5.36854 | + | 6.12408i | 0.171931 | + | 0.196128i | ||||
\(976\) | −9.98782 | − | 5.76647i | −0.319702 | − | 0.184580i | ||||
\(977\) | −20.1091 | + | 24.8327i | −0.643347 | + | 0.794467i | −0.989626 | − | 0.143664i | \(-0.954111\pi\) |
0.346280 | + | 0.938131i | \(0.387445\pi\) | |||||||
\(978\) | 18.9056 | + | 12.2774i | 0.604533 | + | 0.392589i | ||||
\(979\) | −0.0501343 | + | 0.154298i | −0.00160230 | + | 0.00493137i | ||||
\(980\) | 12.8172 | + | 8.98443i | 0.409430 | + | 0.286997i | ||||
\(981\) | −26.0045 | − | 80.0336i | −0.830260 | − | 2.55528i | ||||
\(982\) | 2.38216 | − | 8.89034i | 0.0760177 | − | 0.283702i | ||||
\(983\) | 12.3792 | + | 19.0622i | 0.394834 | + | 0.607991i | 0.979053 | − | 0.203605i | \(-0.0652659\pi\) |
−0.584219 | + | 0.811596i | \(0.698599\pi\) | |||||||
\(984\) | 5.08273 | + | 11.4160i | 0.162032 | + | 0.363929i | ||||
\(985\) | −0.0439566 | + | 6.61610i | −0.00140057 | + | 0.210806i | ||||
\(986\) | 25.7431 | + | 35.4324i | 0.819828 | + | 1.12840i | ||||
\(987\) | −16.3924 | − | 4.64608i | −0.521776 | − | 0.147886i | ||||
\(988\) | 0.681463 | − | 0.107933i | 0.0216802 | − | 0.00343381i | ||||
\(989\) | −17.1365 | + | 38.4892i | −0.544908 | + | 1.22388i | ||||
\(990\) | −4.37961 | + | 39.1644i | −0.139193 | + | 1.24473i | ||||
\(991\) | −32.9709 | + | 14.6796i | −1.04735 | + | 0.466312i | −0.856953 | − | 0.515394i | \(-0.827646\pi\) |
−0.190401 | + | 0.981706i | \(0.560979\pi\) | |||||||
\(992\) | 0.100593 | + | 1.91943i | 0.00319383 | + | 0.0609420i | ||||
\(993\) | 82.6469 | + | 82.6469i | 2.62272 | + | 2.62272i | ||||
\(994\) | 2.63851 | − | 1.12954i | 0.0836885 | − | 0.0358270i | ||||
\(995\) | −2.57303 | − | 4.02034i | −0.0815705 | − | 0.127453i | ||||
\(996\) | −12.3321 | + | 2.62126i | −0.390757 | + | 0.0830579i | ||||
\(997\) | −14.2649 | − | 0.747591i | −0.451774 | − | 0.0236765i | −0.174907 | − | 0.984585i | \(-0.555963\pi\) |
−0.276866 | + | 0.960908i | \(0.589296\pi\) | |||||||
\(998\) | 5.99260 | + | 4.85271i | 0.189693 | + | 0.153610i | ||||
\(999\) | 31.4577 | + | 54.4864i | 0.995279 | + | 1.72387i |
(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 | 350.2.x.a.227.10 | yes | 320 | |
7.5 | odd | 6 | inner | 350.2.x.a.327.1 | yes | 320 | |
25.13 | odd | 20 | inner | 350.2.x.a.213.1 | ✓ | 320 | |
175.138 | even | 60 | inner | 350.2.x.a.313.10 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.x.a.213.1 | ✓ | 320 | 25.13 | odd | 20 | inner | |
350.2.x.a.227.10 | yes | 320 | 1.1 | even | 1 | trivial | |
350.2.x.a.313.10 | yes | 320 | 175.138 | even | 60 | inner | |
350.2.x.a.327.1 | yes | 320 | 7.5 | odd | 6 | inner |