Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.5 | ||
Character | \(\chi\) | \(=\) | 280.19 |
Dual form | 280.2.ba.b.59.5 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32026 | − | 0.506870i | −0.933564 | − | 0.358411i | ||||
\(3\) | 0.360276 | + | 0.624015i | 0.208005 | + | 0.360276i | 0.951086 | − | 0.308926i | \(-0.0999696\pi\) |
−0.743081 | + | 0.669202i | \(0.766636\pi\) | |||||||
\(4\) | 1.48617 | + | 1.33840i | 0.743083 | + | 0.669199i | ||||
\(5\) | −1.56432 | + | 1.59778i | −0.699587 | + | 0.714548i | ||||
\(6\) | −0.159362 | − | 1.00647i | −0.0650593 | − | 0.410892i | ||||
\(7\) | 1.35637 | − | 2.27162i | 0.512658 | − | 0.858593i | ||||
\(8\) | −1.28373 | − | 2.52033i | −0.453867 | − | 0.891070i | ||||
\(9\) | 1.24040 | − | 2.14844i | 0.413468 | − | 0.716147i | ||||
\(10\) | 2.87518 | − | 1.31657i | 0.909211 | − | 0.416336i | ||||
\(11\) | 1.95654 | + | 3.38883i | 0.589920 | + | 1.02177i | 0.994242 | + | 0.107155i | \(0.0341740\pi\) |
−0.404322 | + | 0.914616i | \(0.632493\pi\) | |||||||
\(12\) | −0.299752 | + | 1.40958i | −0.0865311 | + | 0.406911i | ||||
\(13\) | 2.55354i | 0.708224i | 0.935203 | + | 0.354112i | \(0.115217\pi\) | ||||
−0.935203 | + | 0.354112i | \(0.884783\pi\) | |||||||
\(14\) | −2.94217 | + | 2.31163i | −0.786328 | + | 0.617809i | ||||
\(15\) | −1.56063 | − | 0.400522i | −0.402952 | − | 0.103414i | ||||
\(16\) | 0.417377 | + | 3.97816i | 0.104344 | + | 0.994541i | ||||
\(17\) | 2.55984 | + | 4.43377i | 0.620852 | + | 1.07535i | 0.989327 | + | 0.145709i | \(0.0465464\pi\) |
−0.368476 | + | 0.929637i | \(0.620120\pi\) | |||||||
\(18\) | −2.72663 | + | 2.20778i | −0.642674 | + | 0.520378i | ||||
\(19\) | 3.25858 | + | 1.88134i | 0.747569 | + | 0.431609i | 0.824815 | − | 0.565403i | \(-0.191279\pi\) |
−0.0772457 | + | 0.997012i | \(0.524613\pi\) | |||||||
\(20\) | −4.46331 | + | 0.280873i | −0.998026 | + | 0.0628050i | ||||
\(21\) | 1.90619 | + | 0.0279831i | 0.415966 | + | 0.00610642i | ||||
\(22\) | −0.865446 | − | 5.46585i | −0.184514 | − | 1.16532i | ||||
\(23\) | −3.50209 | + | 6.06580i | −0.730237 | + | 1.26481i | 0.226545 | + | 0.974001i | \(0.427257\pi\) |
−0.956782 | + | 0.290807i | \(0.906076\pi\) | |||||||
\(24\) | 1.11023 | − | 1.70908i | 0.226624 | − | 0.348864i | ||||
\(25\) | −0.105783 | − | 4.99888i | −0.0211566 | − | 0.999776i | ||||
\(26\) | 1.29431 | − | 3.37133i | 0.253835 | − | 0.661172i | ||||
\(27\) | 3.94920 | 0.760024 | ||||||||
\(28\) | 5.05612 | − | 1.56065i | 0.955517 | − | 0.294935i | ||||
\(29\) | − | 3.39188i | − | 0.629856i | −0.949116 | − | 0.314928i | \(-0.898020\pi\) | ||
0.949116 | − | 0.314928i | \(-0.101980\pi\) | |||||||
\(30\) | 1.85742 | + | 1.31983i | 0.339116 | + | 0.240966i | ||||
\(31\) | 1.59267 | + | 2.75858i | 0.286052 | + | 0.495456i | 0.972864 | − | 0.231379i | \(-0.0743237\pi\) |
−0.686812 | + | 0.726835i | \(0.740990\pi\) | |||||||
\(32\) | 1.46537 | − | 5.46376i | 0.259043 | − | 0.965866i | ||||
\(33\) | −1.40979 | + | 2.44183i | −0.245413 | + | 0.425067i | ||||
\(34\) | −1.13230 | − | 7.15122i | −0.194188 | − | 1.22642i | ||||
\(35\) | 1.50775 | + | 5.72072i | 0.254857 | + | 0.966979i | ||||
\(36\) | 4.71892 | − | 1.53279i | 0.786486 | − | 0.255464i | ||||
\(37\) | 0.850773 | − | 1.47358i | 0.139866 | − | 0.242256i | −0.787580 | − | 0.616213i | \(-0.788666\pi\) |
0.927446 | + | 0.373957i | \(0.121999\pi\) | |||||||
\(38\) | −3.34857 | − | 4.13553i | −0.543210 | − | 0.670872i | ||||
\(39\) | −1.59345 | + | 0.919977i | −0.255156 | + | 0.147314i | ||||
\(40\) | 6.03509 | + | 1.89149i | 0.954231 | + | 0.299071i | ||||
\(41\) | − | 3.97345i | − | 0.620548i | −0.950647 | − | 0.310274i | \(-0.899579\pi\) | ||
0.950647 | − | 0.310274i | \(-0.100421\pi\) | |||||||
\(42\) | −2.50248 | − | 1.00314i | −0.386142 | − | 0.154787i | ||||
\(43\) | − | 0.898763i | − | 0.137060i | −0.997649 | − | 0.0685300i | \(-0.978169\pi\) | ||
0.997649 | − | 0.0685300i | \(-0.0218309\pi\) | |||||||
\(44\) | −1.62786 | + | 7.65500i | −0.245409 | + | 1.15403i | ||||
\(45\) | 1.49234 | + | 5.34275i | 0.222465 | + | 0.796449i | ||||
\(46\) | 7.69824 | − | 6.23332i | 1.13504 | − | 0.919053i | ||||
\(47\) | 5.64460 | + | 3.25891i | 0.823350 | + | 0.475361i | 0.851570 | − | 0.524240i | \(-0.175651\pi\) |
−0.0282202 | + | 0.999602i | \(0.508984\pi\) | |||||||
\(48\) | −2.33207 | + | 1.69369i | −0.336605 | + | 0.244462i | ||||
\(49\) | −3.32054 | − | 6.16230i | −0.474363 | − | 0.880329i | ||||
\(50\) | −2.39412 | + | 6.65343i | −0.338580 | + | 0.940938i | ||||
\(51\) | −1.84449 | + | 3.19476i | −0.258281 | + | 0.447355i | ||||
\(52\) | −3.41765 | + | 3.79498i | −0.473943 | + | 0.526269i | ||||
\(53\) | −2.92487 | − | 5.06602i | −0.401761 | − | 0.695871i | 0.592177 | − | 0.805808i | \(-0.298269\pi\) |
−0.993939 | + | 0.109937i | \(0.964935\pi\) | |||||||
\(54\) | −5.21397 | − | 2.00173i | −0.709531 | − | 0.272401i | ||||
\(55\) | −8.47526 | − | 2.17511i | −1.14280 | − | 0.293292i | ||||
\(56\) | −7.46644 | − | 0.502335i | −0.997744 | − | 0.0671273i | ||||
\(57\) | 2.71120i | 0.359108i | ||||||||
\(58\) | −1.71924 | + | 4.47815i | −0.225747 | + | 0.588010i | ||||
\(59\) | −10.2528 | + | 5.91946i | −1.33480 | + | 0.770648i | −0.986031 | − | 0.166560i | \(-0.946734\pi\) |
−0.348771 | + | 0.937208i | \(0.613401\pi\) | |||||||
\(60\) | −1.78329 | − | 2.68398i | −0.230222 | − | 0.346500i | ||||
\(61\) | 5.94508 | − | 10.2972i | 0.761190 | − | 1.31842i | −0.181048 | − | 0.983474i | \(-0.557949\pi\) |
0.942238 | − | 0.334945i | \(-0.108718\pi\) | |||||||
\(62\) | −0.704492 | − | 4.44932i | −0.0894705 | − | 0.565064i | ||||
\(63\) | −3.19801 | − | 5.73180i | −0.402911 | − | 0.722139i | ||||
\(64\) | −4.70408 | + | 6.47083i | −0.588010 | + | 0.808854i | ||||
\(65\) | −4.07998 | − | 3.99456i | −0.506060 | − | 0.495464i | ||||
\(66\) | 3.09897 | − | 2.50926i | 0.381457 | − | 0.308869i | ||||
\(67\) | −2.68095 | + | 1.54785i | −0.327530 | + | 0.189100i | −0.654744 | − | 0.755851i | \(-0.727224\pi\) |
0.327214 | + | 0.944950i | \(0.393890\pi\) | |||||||
\(68\) | −2.12981 | + | 10.0154i | −0.258277 | + | 1.21455i | ||||
\(69\) | −5.04687 | −0.607572 | ||||||||
\(70\) | 0.909040 | − | 8.31707i | 0.108651 | − | 0.994080i | ||||
\(71\) | − | 12.3374i | − | 1.46418i | −0.681207 | − | 0.732091i | \(-0.738544\pi\) | ||
0.681207 | − | 0.732091i | \(-0.261456\pi\) | |||||||
\(72\) | −7.00711 | − | 0.368203i | −0.825796 | − | 0.0433931i | ||||
\(73\) | −2.59351 | − | 4.49209i | −0.303547 | − | 0.525759i | 0.673390 | − | 0.739288i | \(-0.264838\pi\) |
−0.976937 | + | 0.213529i | \(0.931504\pi\) | |||||||
\(74\) | −1.87016 | + | 1.51428i | −0.217401 | + | 0.176031i | ||||
\(75\) | 3.08127 | − | 1.86698i | 0.355794 | − | 0.215581i | ||||
\(76\) | 2.32480 | + | 7.15726i | 0.266673 | + | 0.820994i | ||||
\(77\) | 10.3519 | + | 0.151968i | 1.17971 | + | 0.0173183i | ||||
\(78\) | 2.57007 | − | 0.406937i | 0.291003 | − | 0.0460766i | ||||
\(79\) | 8.84693 | + | 5.10778i | 0.995358 | + | 0.574670i | 0.906871 | − | 0.421407i | \(-0.138464\pi\) |
0.0884863 | + | 0.996077i | \(0.471797\pi\) | |||||||
\(80\) | −7.00913 | − | 5.55626i | −0.783645 | − | 0.621209i | ||||
\(81\) | −2.29841 | − | 3.98096i | −0.255379 | − | 0.442329i | ||||
\(82\) | −2.01402 | + | 5.24598i | −0.222411 | + | 0.579321i | ||||
\(83\) | 0.786461 | 0.0863253 | 0.0431626 | − | 0.999068i | \(-0.486257\pi\) | ||||
0.0431626 | + | 0.999068i | \(0.486257\pi\) | |||||||
\(84\) | 2.79547 | + | 2.59283i | 0.305010 | + | 0.282901i | ||||
\(85\) | −11.0886 | − | 2.84580i | −1.20273 | − | 0.308670i | ||||
\(86\) | −0.455556 | + | 1.18660i | −0.0491238 | + | 0.127954i | ||||
\(87\) | 2.11658 | − | 1.22201i | 0.226922 | − | 0.131013i | ||||
\(88\) | 6.02929 | − | 9.28147i | 0.642724 | − | 0.989408i | ||||
\(89\) | −0.679974 | − | 0.392583i | −0.0720771 | − | 0.0416137i | 0.463528 | − | 0.886082i | \(-0.346583\pi\) |
−0.535605 | + | 0.844468i | \(0.679917\pi\) | |||||||
\(90\) | 0.737804 | − | 7.81023i | 0.0777714 | − | 0.823270i | ||||
\(91\) | 5.80068 | + | 3.46353i | 0.608076 | + | 0.363077i | ||||
\(92\) | −13.3232 | + | 4.32759i | −1.38903 | + | 0.451183i | ||||
\(93\) | −1.14760 | + | 1.98770i | −0.119000 | + | 0.206115i | ||||
\(94\) | −5.80049 | − | 7.16369i | −0.598275 | − | 0.738878i | ||||
\(95\) | −8.10344 | + | 2.26346i | −0.831395 | + | 0.232226i | ||||
\(96\) | 3.93741 | − | 1.05405i | 0.401860 | − | 0.107578i | ||||
\(97\) | −16.5331 | −1.67868 | −0.839340 | − | 0.543607i | \(-0.817058\pi\) | ||||
−0.839340 | + | 0.543607i | \(0.817058\pi\) | |||||||
\(98\) | 1.26049 | + | 9.81892i | 0.127329 | + | 0.991861i | ||||
\(99\) | 9.70761 | 0.975651 | ||||||||
\(100\) | 6.53328 | − | 7.57075i | 0.653328 | − | 0.757075i | ||||
\(101\) | 6.01482 | + | 10.4180i | 0.598497 | + | 1.03663i | 0.993043 | + | 0.117751i | \(0.0375684\pi\) |
−0.394547 | + | 0.918876i | \(0.629098\pi\) | |||||||
\(102\) | 4.05453 | − | 3.28299i | 0.401459 | − | 0.325064i | ||||
\(103\) | 0.132170 | + | 0.0763082i | 0.0130231 | + | 0.00751887i | 0.506497 | − | 0.862241i | \(-0.330940\pi\) |
−0.493474 | + | 0.869760i | \(0.664273\pi\) | |||||||
\(104\) | 6.43575 | − | 3.27805i | 0.631077 | − | 0.321439i | ||||
\(105\) | −3.02661 | + | 3.00190i | −0.295367 | + | 0.292955i | ||||
\(106\) | 1.29377 | + | 8.17098i | 0.125662 | + | 0.793636i | ||||
\(107\) | −1.38413 | − | 0.799129i | −0.133809 | − | 0.0772548i | 0.431601 | − | 0.902065i | \(-0.357949\pi\) |
−0.565410 | + | 0.824810i | \(0.691282\pi\) | |||||||
\(108\) | 5.86917 | + | 5.28561i | 0.564761 | + | 0.508608i | ||||
\(109\) | −13.5710 | + | 7.83523i | −1.29987 | + | 0.750479i | −0.980381 | − | 0.197112i | \(-0.936844\pi\) |
−0.319486 | + | 0.947591i | \(0.603510\pi\) | |||||||
\(110\) | 10.0870 | + | 7.16756i | 0.961762 | + | 0.683400i | ||||
\(111\) | 1.22605 | 0.116372 | ||||||||
\(112\) | 9.60301 | + | 4.44772i | 0.907399 | + | 0.420270i | ||||
\(113\) | − | 8.17675i | − | 0.769204i | −0.923082 | − | 0.384602i | \(-0.874339\pi\) | ||
0.923082 | − | 0.384602i | \(-0.125661\pi\) | |||||||
\(114\) | 1.37423 | − | 3.57949i | 0.128708 | − | 0.335250i | ||||
\(115\) | −4.21339 | − | 15.0844i | −0.392901 | − | 1.40663i | ||||
\(116\) | 4.53968 | − | 5.04089i | 0.421499 | − | 0.468035i | ||||
\(117\) | 5.48613 | + | 3.16742i | 0.507193 | + | 0.292828i | ||||
\(118\) | 16.5368 | − | 2.61838i | 1.52233 | − | 0.241041i | ||||
\(119\) | 13.5439 | + | 0.198826i | 1.24157 | + | 0.0182264i | ||||
\(120\) | 0.993974 | + | 4.44745i | 0.0907370 | + | 0.405994i | ||||
\(121\) | −2.15612 | + | 3.73451i | −0.196011 | + | 0.339501i | ||||
\(122\) | −13.0684 | + | 10.5816i | −1.18316 | + | 0.958010i | ||||
\(123\) | 2.47949 | − | 1.43154i | 0.223568 | − | 0.129077i | ||||
\(124\) | −1.32511 | + | 6.23134i | −0.118999 | + | 0.559591i | ||||
\(125\) | 8.15258 | + | 7.65085i | 0.729189 | + | 0.684313i | ||||
\(126\) | 1.31692 | + | 9.18843i | 0.117321 | + | 0.818571i | ||||
\(127\) | 13.7657 | 1.22151 | 0.610756 | − | 0.791819i | \(-0.290866\pi\) | ||||
0.610756 | + | 0.791819i | \(0.290866\pi\) | |||||||
\(128\) | 9.49047 | − | 6.15881i | 0.838847 | − | 0.544367i | ||||
\(129\) | 0.560842 | − | 0.323802i | 0.0493794 | − | 0.0285092i | ||||
\(130\) | 3.36191 | + | 7.34187i | 0.294859 | + | 0.643925i | ||||
\(131\) | −8.10845 | − | 4.68141i | −0.708438 | − | 0.409017i | 0.102044 | − | 0.994780i | \(-0.467462\pi\) |
−0.810483 | + | 0.585763i | \(0.800795\pi\) | |||||||
\(132\) | −5.36332 | + | 1.74210i | −0.466817 | + | 0.151630i | ||||
\(133\) | 8.69352 | − | 4.85048i | 0.753824 | − | 0.420590i | ||||
\(134\) | 4.32411 | − | 0.684666i | 0.373546 | − | 0.0591462i | ||||
\(135\) | −6.17783 | + | 6.30994i | −0.531703 | + | 0.543073i | ||||
\(136\) | 7.88840 | − | 12.1434i | 0.676425 | − | 1.04129i | ||||
\(137\) | 16.1440 | − | 9.32074i | 1.37927 | − | 0.796325i | 0.387202 | − | 0.921995i | \(-0.373441\pi\) |
0.992072 | + | 0.125670i | \(0.0401081\pi\) | |||||||
\(138\) | 6.66318 | + | 2.55811i | 0.567207 | + | 0.217761i | ||||
\(139\) | 4.50951i | 0.382491i | 0.981542 | + | 0.191246i | \(0.0612527\pi\) | ||||
−0.981542 | + | 0.191246i | \(0.938747\pi\) | |||||||
\(140\) | −5.41584 | + | 10.5199i | −0.457722 | + | 0.889095i | ||||
\(141\) | 4.69643i | 0.395511i | ||||||||
\(142\) | −6.25347 | + | 16.2886i | −0.524779 | + | 1.36691i | ||||
\(143\) | −8.65351 | + | 4.99611i | −0.723643 | + | 0.417795i | ||||
\(144\) | 9.06457 | + | 4.03782i | 0.755381 | + | 0.336485i | ||||
\(145\) | 5.41946 | + | 5.30599i | 0.450062 | + | 0.440639i | ||||
\(146\) | 1.14720 | + | 7.24529i | 0.0949427 | + | 0.599624i | ||||
\(147\) | 2.64906 | − | 4.29220i | 0.218491 | − | 0.354015i | ||||
\(148\) | 3.23663 | − | 1.05131i | 0.266049 | − | 0.0864175i | ||||
\(149\) | −20.1713 | − | 11.6459i | −1.65249 | − | 0.954067i | −0.976043 | − | 0.217579i | \(-0.930184\pi\) |
−0.676451 | − | 0.736488i | \(-0.736483\pi\) | |||||||
\(150\) | −5.01439 | + | 0.903101i | −0.409423 | + | 0.0737378i | ||||
\(151\) | −8.61940 | + | 4.97642i | −0.701437 | + | 0.404975i | −0.807882 | − | 0.589344i | \(-0.799386\pi\) |
0.106445 | + | 0.994319i | \(0.466053\pi\) | |||||||
\(152\) | 0.558460 | − | 10.6278i | 0.0452971 | − | 0.862029i | ||||
\(153\) | 12.7009 | 1.02681 | ||||||||
\(154\) | −13.5902 | − | 5.44772i | −1.09513 | − | 0.438990i | ||||
\(155\) | −6.89905 | − | 1.77059i | −0.554145 | − | 0.142217i | ||||
\(156\) | −3.59942 | − | 0.765429i | −0.288185 | − | 0.0612834i | ||||
\(157\) | 9.97707 | − | 5.76026i | 0.796257 | − | 0.459719i | −0.0459037 | − | 0.998946i | \(-0.514617\pi\) |
0.842161 | + | 0.539227i | \(0.181283\pi\) | |||||||
\(158\) | −9.09126 | − | 11.2278i | −0.723262 | − | 0.893239i | ||||
\(159\) | 2.10752 | − | 3.65033i | 0.167137 | − | 0.289490i | ||||
\(160\) | 6.43757 | + | 10.8884i | 0.508934 | + | 0.860805i | ||||
\(161\) | 9.02910 | + | 16.1829i | 0.711593 | + | 1.27539i | ||||
\(162\) | 1.01666 | + | 6.42089i | 0.0798767 | + | 0.504473i | ||||
\(163\) | −6.80019 | − | 3.92609i | −0.532632 | − | 0.307515i | 0.209456 | − | 0.977818i | \(-0.432831\pi\) |
−0.742087 | + | 0.670303i | \(0.766164\pi\) | |||||||
\(164\) | 5.31806 | − | 5.90520i | 0.415270 | − | 0.461119i | ||||
\(165\) | −1.69613 | − | 6.07233i | −0.132043 | − | 0.472731i | ||||
\(166\) | −1.03833 | − | 0.398633i | −0.0805901 | − | 0.0309399i | ||||
\(167\) | − | 17.7066i | − | 1.37018i | −0.728459 | − | 0.685090i | \(-0.759763\pi\) | ||
0.728459 | − | 0.685090i | \(-0.240237\pi\) | |||||||
\(168\) | −2.37651 | − | 4.84015i | −0.183352 | − | 0.373426i | ||||
\(169\) | 6.47944 | 0.498419 | ||||||||
\(170\) | 13.1974 | + | 9.37766i | 1.01219 | + | 0.719234i | ||||
\(171\) | 8.08390 | − | 4.66724i | 0.618191 | − | 0.356913i | ||||
\(172\) | 1.20290 | − | 1.33571i | 0.0917205 | − | 0.101847i | ||||
\(173\) | −3.71071 | − | 2.14238i | −0.282120 | − | 0.162882i | 0.352263 | − | 0.935901i | \(-0.385412\pi\) |
−0.634383 | + | 0.773019i | \(0.718746\pi\) | |||||||
\(174\) | −3.41384 | + | 0.540537i | −0.258802 | + | 0.0409780i | ||||
\(175\) | −11.4991 | − | 6.54001i | −0.869247 | − | 0.494378i | ||||
\(176\) | −12.6647 | + | 9.19787i | −0.954639 | + | 0.693316i | ||||
\(177\) | −7.38767 | − | 4.26527i | −0.555291 | − | 0.320598i | ||||
\(178\) | 0.698752 | + | 0.862969i | 0.0523737 | + | 0.0646823i | ||||
\(179\) | −6.86299 | − | 11.8870i | −0.512964 | − | 0.888479i | −0.999887 | − | 0.0150343i | \(-0.995214\pi\) |
0.486923 | − | 0.873445i | \(-0.338119\pi\) | |||||||
\(180\) | −4.93286 | + | 9.93755i | −0.367674 | + | 0.740701i | ||||
\(181\) | 9.40055 | 0.698738 | 0.349369 | − | 0.936985i | \(-0.386396\pi\) | ||||
0.349369 | + | 0.936985i | \(0.386396\pi\) | |||||||
\(182\) | −5.90283 | − | 7.51295i | −0.437547 | − | 0.556897i | ||||
\(183\) | 8.56747 | 0.633326 | ||||||||
\(184\) | 19.7835 | + | 1.03957i | 1.45846 | + | 0.0766378i | ||||
\(185\) | 1.02357 | + | 3.66451i | 0.0752545 | + | 0.269420i | ||||
\(186\) | 2.52263 | − | 2.04259i | 0.184968 | − | 0.149770i | ||||
\(187\) | −10.0169 | + | 17.3497i | −0.732505 | + | 1.26874i | ||||
\(188\) | 4.02709 | + | 12.3980i | 0.293706 | + | 0.904218i | ||||
\(189\) | 5.35656 | − | 8.97110i | 0.389632 | − | 0.652551i | ||||
\(190\) | 11.8459 | + | 1.11904i | 0.859393 | + | 0.0811838i | ||||
\(191\) | −15.4640 | − | 8.92815i | −1.11894 | − | 0.646019i | −0.177808 | − | 0.984065i | \(-0.556900\pi\) |
−0.941129 | + | 0.338047i | \(0.890234\pi\) | |||||||
\(192\) | −5.73266 | − | 0.604137i | −0.413719 | − | 0.0435998i | ||||
\(193\) | −19.8035 | + | 11.4335i | −1.42548 | + | 0.823004i | −0.996760 | − | 0.0804313i | \(-0.974370\pi\) |
−0.428725 | + | 0.903435i | \(0.641037\pi\) | |||||||
\(194\) | 21.8279 | + | 8.38012i | 1.56716 | + | 0.601658i | ||||
\(195\) | 1.02275 | − | 3.98512i | 0.0732406 | − | 0.285380i | ||||
\(196\) | 3.31274 | − | 13.6024i | 0.236624 | − | 0.971601i | ||||
\(197\) | −13.6688 | −0.973859 | −0.486929 | − | 0.873441i | \(-0.661883\pi\) | ||||
−0.486929 | + | 0.873441i | \(0.661883\pi\) | |||||||
\(198\) | −12.8166 | − | 4.92049i | −0.910833 | − | 0.349684i | ||||
\(199\) | 11.4509 | + | 19.8335i | 0.811732 | + | 1.40596i | 0.911651 | + | 0.410966i | \(0.134809\pi\) |
−0.0999183 | + | 0.994996i | \(0.531858\pi\) | |||||||
\(200\) | −12.4630 | + | 6.68382i | −0.881268 | + | 0.472617i | ||||
\(201\) | −1.93176 | − | 1.11530i | −0.136256 | − | 0.0786675i | ||||
\(202\) | −2.66056 | − | 16.8031i | −0.187196 | − | 1.18227i | ||||
\(203\) | −7.70507 | − | 4.60063i | −0.540790 | − | 0.322901i | ||||
\(204\) | −7.01708 | + | 2.27927i | −0.491294 | + | 0.159581i | ||||
\(205\) | 6.34868 | + | 6.21576i | 0.443411 | + | 0.434127i | ||||
\(206\) | −0.135820 | − | 0.167739i | −0.00946302 | − | 0.0116870i | ||||
\(207\) | 8.68801 | + | 15.0481i | 0.603859 | + | 1.04591i | ||||
\(208\) | −10.1584 | + | 1.06579i | −0.704358 | + | 0.0738992i | ||||
\(209\) | 14.7237i | 1.01846i | ||||||||
\(210\) | 5.51749 | − | 2.42918i | 0.380743 | − | 0.167629i | ||||
\(211\) | −3.80653 | −0.262052 | −0.131026 | − | 0.991379i | \(-0.541827\pi\) | ||||
−0.131026 | + | 0.991379i | \(0.541827\pi\) | |||||||
\(212\) | 2.43352 | − | 11.4436i | 0.167135 | − | 0.785949i | ||||
\(213\) | 7.69874 | − | 4.44487i | 0.527509 | − | 0.304558i | ||||
\(214\) | 1.42236 | + | 1.75663i | 0.0972304 | + | 0.120081i | ||||
\(215\) | 1.43602 | + | 1.40596i | 0.0979359 | + | 0.0958854i | ||||
\(216\) | −5.06970 | − | 9.95327i | −0.344950 | − | 0.677234i | ||||
\(217\) | 8.42670 | + | 0.123705i | 0.572042 | + | 0.00839763i | ||||
\(218\) | 21.8887 | − | 3.46579i | 1.48249 | − | 0.234733i | ||||
\(219\) | 1.86876 | − | 3.23678i | 0.126279 | − | 0.218721i | ||||
\(220\) | −9.68448 | − | 14.5759i | −0.652928 | − | 0.982704i | ||||
\(221\) | −11.3218 | + | 6.53664i | −0.761586 | + | 0.439702i | ||||
\(222\) | −1.61870 | − | 0.621449i | −0.108640 | − | 0.0417089i | ||||
\(223\) | − | 15.1551i | − | 1.01486i | −0.861693 | − | 0.507430i | \(-0.830595\pi\) | ||
0.861693 | − | 0.507430i | \(-0.169405\pi\) | |||||||
\(224\) | −10.4240 | − | 10.7396i | −0.696485 | − | 0.717571i | ||||
\(225\) | −10.8710 | − | 5.97336i | −0.724734 | − | 0.398224i | ||||
\(226\) | −4.14455 | + | 10.7954i | −0.275691 | + | 0.718101i | ||||
\(227\) | 5.92282 | + | 10.2586i | 0.393111 | + | 0.680888i | 0.992858 | − | 0.119301i | \(-0.0380655\pi\) |
−0.599747 | + | 0.800190i | \(0.704732\pi\) | |||||||
\(228\) | −3.62867 | + | 4.02930i | −0.240315 | + | 0.266847i | ||||
\(229\) | −0.242540 | + | 0.420091i | −0.0160275 | + | 0.0277604i | −0.873928 | − | 0.486056i | \(-0.838435\pi\) |
0.857900 | + | 0.513816i | \(0.171769\pi\) | |||||||
\(230\) | −2.08308 | + | 22.0510i | −0.137354 | + | 1.45400i | ||||
\(231\) | 3.63472 | + | 6.51452i | 0.239147 | + | 0.428624i | ||||
\(232\) | −8.54863 | + | 4.35425i | −0.561245 | + | 0.285871i | ||||
\(233\) | 22.8163 | + | 13.1730i | 1.49475 | + | 0.862992i | 0.999982 | − | 0.00603553i | \(-0.00192118\pi\) |
0.494764 | + | 0.869027i | \(0.335255\pi\) | |||||||
\(234\) | −5.63764 | − | 6.96256i | −0.368544 | − | 0.455157i | ||||
\(235\) | −14.0370 | + | 3.92082i | −0.915673 | + | 0.255766i | ||||
\(236\) | −23.1600 | − | 4.92505i | −1.50759 | − | 0.320593i | ||||
\(237\) | 7.36083i | 0.478137i | ||||||||
\(238\) | −17.7807 | − | 7.12751i | −1.15255 | − | 0.462008i | ||||
\(239\) | 1.78403i | 0.115399i | 0.998334 | + | 0.0576997i | \(0.0183766\pi\) | ||||
−0.998334 | + | 0.0576997i | \(0.981623\pi\) | |||||||
\(240\) | 0.941974 | − | 6.37559i | 0.0608042 | − | 0.411543i | ||||
\(241\) | −7.29829 | + | 4.21367i | −0.470124 | + | 0.271426i | −0.716292 | − | 0.697801i | \(-0.754162\pi\) |
0.246167 | + | 0.969227i | \(0.420829\pi\) | |||||||
\(242\) | 4.73955 | − | 3.83765i | 0.304670 | − | 0.246693i | ||||
\(243\) | 7.57992 | − | 13.1288i | 0.486252 | − | 0.842214i | ||||
\(244\) | 22.6171 | − | 7.34643i | 1.44791 | − | 0.470307i | ||||
\(245\) | 15.0404 | + | 4.33435i | 0.960895 | + | 0.276911i | ||||
\(246\) | −3.99917 | + | 0.633217i | −0.254978 | + | 0.0403724i | ||||
\(247\) | −4.80408 | + | 8.32091i | −0.305676 | + | 0.529447i | ||||
\(248\) | 4.90797 | − | 7.55532i | 0.311656 | − | 0.479763i | ||||
\(249\) | 0.283342 | + | 0.490764i | 0.0179561 | + | 0.0311009i | ||||
\(250\) | −6.88552 | − | 14.2334i | −0.435479 | − | 0.900199i | ||||
\(251\) | − | 19.9871i | − | 1.26157i | −0.775956 | − | 0.630787i | \(-0.782732\pi\) | ||
0.775956 | − | 0.630787i | \(-0.217268\pi\) | |||||||
\(252\) | 2.91866 | − | 12.7986i | 0.183859 | − | 0.806237i | ||||
\(253\) | −27.4080 | −1.72312 | ||||||||
\(254\) | −18.1743 | − | 6.97744i | −1.14036 | − | 0.437804i | ||||
\(255\) | −2.21912 | − | 7.94472i | −0.138967 | − | 0.497518i | ||||
\(256\) | −15.6516 | + | 3.32079i | −0.978225 | + | 0.207549i | ||||
\(257\) | −0.516455 | + | 0.894526i | −0.0322156 | + | 0.0557990i | −0.881684 | − | 0.471841i | \(-0.843590\pi\) |
0.849468 | + | 0.527640i | \(0.176923\pi\) | |||||||
\(258\) | −0.904582 | + | 0.143229i | −0.0563168 | + | 0.00891703i | ||||
\(259\) | −2.19346 | − | 3.93135i | −0.136295 | − | 0.244282i | ||||
\(260\) | −0.717219 | − | 11.3972i | −0.0444800 | − | 0.706826i | ||||
\(261\) | −7.28725 | − | 4.20729i | −0.451069 | − | 0.260425i | ||||
\(262\) | 8.33238 | + | 10.2906i | 0.514776 | + | 0.635756i | ||||
\(263\) | 3.33070 | + | 5.76894i | 0.205380 | + | 0.355728i | 0.950254 | − | 0.311477i | \(-0.100824\pi\) |
−0.744874 | + | 0.667205i | \(0.767490\pi\) | |||||||
\(264\) | 7.96398 | + | 0.418484i | 0.490149 | + | 0.0257559i | ||||
\(265\) | 12.6698 | + | 3.25161i | 0.778300 | + | 0.199745i | ||||
\(266\) | −13.9363 | + | 1.99740i | −0.854487 | + | 0.122468i | ||||
\(267\) | − | 0.565752i | − | 0.0346235i | ||||||
\(268\) | −6.05598 | − | 1.28782i | −0.369928 | − | 0.0786664i | ||||
\(269\) | −3.75055 | − | 6.49615i | −0.228675 | − | 0.396077i | 0.728740 | − | 0.684790i | \(-0.240106\pi\) |
−0.957416 | + | 0.288713i | \(0.906773\pi\) | |||||||
\(270\) | 11.3547 | − | 5.19940i | 0.691022 | − | 0.316425i | ||||
\(271\) | 1.07782 | − | 1.86684i | 0.0654730 | − | 0.113402i | −0.831431 | − | 0.555628i | \(-0.812478\pi\) |
0.896904 | + | 0.442226i | \(0.145811\pi\) | |||||||
\(272\) | −16.5698 | + | 12.0340i | −1.00469 | + | 0.729669i | ||||
\(273\) | −0.0714560 | + | 4.86754i | −0.00432471 | + | 0.294597i | ||||
\(274\) | −26.0387 | + | 4.12288i | −1.57305 | + | 0.249072i | ||||
\(275\) | 16.7334 | − | 10.1390i | 1.00906 | − | 0.611405i | ||||
\(276\) | −7.50049 | − | 6.75473i | −0.451476 | − | 0.406587i | ||||
\(277\) | 5.98545 | + | 10.3671i | 0.359631 | + | 0.622899i | 0.987899 | − | 0.155098i | \(-0.0495692\pi\) |
−0.628268 | + | 0.777997i | \(0.716236\pi\) | |||||||
\(278\) | 2.28573 | − | 5.95372i | 0.137089 | − | 0.357080i | ||||
\(279\) | 7.90220 | 0.473093 | ||||||||
\(280\) | 12.4825 | − | 11.1439i | 0.745974 | − | 0.665975i | ||||
\(281\) | 3.06151 | 0.182634 | 0.0913171 | − | 0.995822i | \(-0.470892\pi\) | ||||
0.0913171 | + | 0.995822i | \(0.470892\pi\) | |||||||
\(282\) | 2.38048 | − | 6.20050i | 0.141755 | − | 0.369234i | ||||
\(283\) | 10.3523 | + | 17.9308i | 0.615383 | + | 1.06587i | 0.990317 | + | 0.138823i | \(0.0443320\pi\) |
−0.374934 | + | 0.927051i | \(0.622335\pi\) | |||||||
\(284\) | 16.5124 | − | 18.3355i | 0.979830 | − | 1.08801i | ||||
\(285\) | −4.33190 | − | 4.24120i | −0.256600 | − | 0.251227i | ||||
\(286\) | 13.9572 | − | 2.20995i | 0.825309 | − | 0.130677i | ||||
\(287\) | −9.02617 | − | 5.38945i | −0.532798 | − | 0.318129i | ||||
\(288\) | −9.92093 | − | 9.92552i | −0.584596 | − | 0.584867i | ||||
\(289\) | −4.60553 | + | 7.97701i | −0.270913 | + | 0.469236i | ||||
\(290\) | −4.46564 | − | 9.75225i | −0.262232 | − | 0.572672i | ||||
\(291\) | −5.95647 | − | 10.3169i | −0.349174 | − | 0.604787i | ||||
\(292\) | 2.15782 | − | 10.1471i | 0.126277 | − | 0.593816i | ||||
\(293\) | 30.5374i | 1.78402i | 0.452020 | + | 0.892008i | \(0.350704\pi\) | ||||
−0.452020 | + | 0.892008i | \(0.649296\pi\) | |||||||
\(294\) | −5.67303 | + | 4.32408i | −0.330858 | + | 0.252186i | ||||
\(295\) | 6.58073 | − | 25.6417i | 0.383145 | − | 1.49291i | ||||
\(296\) | −4.80607 | − | 0.252545i | −0.279347 | − | 0.0146789i | ||||
\(297\) | 7.72678 | + | 13.3832i | 0.448353 | + | 0.776571i | ||||
\(298\) | 20.7283 | + | 25.5998i | 1.20076 | + | 1.48295i | ||||
\(299\) | −15.4893 | − | 8.94273i | −0.895767 | − | 0.517171i | ||||
\(300\) | 7.07805 | + | 1.34932i | 0.408651 | + | 0.0779028i | ||||
\(301\) | −2.04165 | − | 1.21905i | −0.117679 | − | 0.0702649i | ||||
\(302\) | 13.9022 | − | 2.20124i | 0.799984 | − | 0.126667i | ||||
\(303\) | −4.33398 | + | 7.50668i | −0.248981 | + | 0.431247i | ||||
\(304\) | −6.12423 | + | 13.7484i | −0.351249 | + | 0.788524i | ||||
\(305\) | 7.15257 | + | 25.6070i | 0.409555 | + | 1.46625i | ||||
\(306\) | −16.7685 | − | 6.43771i | −0.958591 | − | 0.368020i | ||||
\(307\) | −7.15470 | −0.408340 | −0.204170 | − | 0.978935i | \(-0.565450\pi\) | ||||
−0.204170 | + | 0.978935i | \(0.565450\pi\) | |||||||
\(308\) | 15.1813 | + | 14.0809i | 0.865035 | + | 0.802332i | ||||
\(309\) | 0.109968i | 0.00625586i | ||||||||
\(310\) | 8.21107 | + | 5.83455i | 0.466358 | + | 0.331380i | ||||
\(311\) | 4.60675 | + | 7.97912i | 0.261225 | + | 0.452454i | 0.966568 | − | 0.256412i | \(-0.0825403\pi\) |
−0.705343 | + | 0.708866i | \(0.749207\pi\) | |||||||
\(312\) | 4.36420 | + | 2.83500i | 0.247074 | + | 0.160501i | ||||
\(313\) | 5.15408 | − | 8.92713i | 0.291326 | − | 0.504591i | −0.682798 | − | 0.730608i | \(-0.739237\pi\) |
0.974124 | + | 0.226016i | \(0.0725702\pi\) | |||||||
\(314\) | −16.0920 | + | 2.54796i | −0.908125 | + | 0.143790i | ||||
\(315\) | 14.1609 | + | 3.85669i | 0.797874 | + | 0.217300i | ||||
\(316\) | 6.31176 | + | 19.4317i | 0.355064 | + | 1.09312i | ||||
\(317\) | 16.7268 | − | 28.9716i | 0.939469 | − | 1.62721i | 0.173004 | − | 0.984921i | \(-0.444653\pi\) |
0.766464 | − | 0.642287i | \(-0.222014\pi\) | |||||||
\(318\) | −4.63271 | + | 3.75114i | −0.259789 | + | 0.210353i | ||||
\(319\) | 11.4945 | − | 6.63635i | 0.643568 | − | 0.371564i | ||||
\(320\) | −2.98024 | − | 17.6385i | −0.166601 | − | 0.986024i | ||||
\(321\) | − | 1.15163i | − | 0.0642776i | ||||||
\(322\) | −3.71813 | − | 25.9422i | −0.207203 | − | 1.44570i | ||||
\(323\) | 19.2637i | 1.07186i | ||||||||
\(324\) | 1.91230 | − | 8.99256i | 0.106239 | − | 0.499586i | ||||
\(325\) | 12.7648 | − | 0.270121i | 0.708066 | − | 0.0149836i | ||||
\(326\) | 6.98799 | + | 8.63026i | 0.387029 | + | 0.477986i | ||||
\(327\) | −9.77861 | − | 5.64568i | −0.540758 | − | 0.312207i | ||||
\(328\) | −10.0144 | + | 5.10083i | −0.552951 | + | 0.281646i | ||||
\(329\) | 15.0592 | − | 8.40213i | 0.830239 | − | 0.463225i | ||||
\(330\) | −0.838557 | + | 8.87677i | −0.0461610 | + | 0.488650i | ||||
\(331\) | 0.130885 | − | 0.226700i | 0.00719411 | − | 0.0124606i | −0.862406 | − | 0.506217i | \(-0.831043\pi\) |
0.869600 | + | 0.493757i | \(0.164377\pi\) | |||||||
\(332\) | 1.16881 | + | 1.05260i | 0.0641468 | + | 0.0577688i | ||||
\(333\) | −2.11060 | − | 3.65567i | −0.115660 | − | 0.200330i | ||||
\(334\) | −8.97496 | + | 23.3773i | −0.491088 | + | 1.27915i | ||||
\(335\) | 1.72076 | − | 6.70490i | 0.0940152 | − | 0.366328i | ||||
\(336\) | 0.684280 | + | 7.59483i | 0.0373306 | + | 0.414332i | ||||
\(337\) | 13.7546i | 0.749262i | 0.927174 | + | 0.374631i | \(0.122231\pi\) | ||||
−0.927174 | + | 0.374631i | \(0.877769\pi\) | |||||||
\(338\) | −8.55454 | − | 3.28423i | −0.465306 | − | 0.178639i | ||||
\(339\) | 5.10242 | − | 2.94588i | 0.277125 | − | 0.159998i | ||||
\(340\) | −12.6707 | − | 19.0703i | −0.687163 | − | 1.03423i | ||||
\(341\) | −6.23225 | + | 10.7946i | −0.337495 | + | 0.584559i | ||||
\(342\) | −13.0385 | + | 2.06448i | −0.705043 | + | 0.111634i | ||||
\(343\) | −18.5023 | − | 0.815316i | −0.999031 | − | 0.0440229i | ||||
\(344\) | −2.26517 | + | 1.15377i | −0.122130 | + | 0.0622070i | ||||
\(345\) | 7.89494 | − | 8.06378i | 0.425049 | − | 0.434139i | ||||
\(346\) | 3.81319 | + | 4.70934i | 0.204998 | + | 0.253176i | ||||
\(347\) | 24.9110 | − | 14.3824i | 1.33729 | − | 0.772086i | 0.350887 | − | 0.936418i | \(-0.385880\pi\) |
0.986405 | + | 0.164332i | \(0.0525467\pi\) | |||||||
\(348\) | 4.78113 | + | 1.01672i | 0.256296 | + | 0.0545021i | ||||
\(349\) | −23.9493 | −1.28197 | −0.640987 | − | 0.767551i | \(-0.721475\pi\) | ||||
−0.640987 | + | 0.767551i | \(0.721475\pi\) | |||||||
\(350\) | 11.8668 | + | 14.4630i | 0.634307 | + | 0.773082i | ||||
\(351\) | 10.0844i | 0.538267i | ||||||||
\(352\) | 21.3828 | − | 5.72421i | 1.13971 | − | 0.305101i | ||||
\(353\) | −11.9932 | − | 20.7729i | −0.638336 | − | 1.10563i | −0.985798 | − | 0.167937i | \(-0.946290\pi\) |
0.347462 | − | 0.937694i | \(-0.387044\pi\) | |||||||
\(354\) | 7.59170 | + | 9.37585i | 0.403494 | + | 0.498321i | ||||
\(355\) | 19.7124 | + | 19.2997i | 1.04623 | + | 1.02432i | ||||
\(356\) | −0.485121 | − | 1.49352i | −0.0257114 | − | 0.0791564i | ||||
\(357\) | 4.75547 | + | 8.52325i | 0.251686 | + | 0.451098i | ||||
\(358\) | 3.03573 | + | 19.1726i | 0.160443 | + | 1.01330i | ||||
\(359\) | 15.3298 | + | 8.85066i | 0.809075 | + | 0.467120i | 0.846635 | − | 0.532175i | \(-0.178625\pi\) |
−0.0375594 | + | 0.999294i | \(0.511958\pi\) | |||||||
\(360\) | 11.5497 | − | 10.6198i | 0.608723 | − | 0.559713i | ||||
\(361\) | −2.42111 | − | 4.19349i | −0.127427 | − | 0.220710i | ||||
\(362\) | −12.4112 | − | 4.76486i | −0.652316 | − | 0.250435i | ||||
\(363\) | −3.10719 | −0.163085 | ||||||||
\(364\) | 3.98518 | + | 12.9110i | 0.208880 | + | 0.676720i | ||||
\(365\) | 11.2344 | + | 2.88323i | 0.588038 | + | 0.150915i | ||||
\(366\) | −11.3113 | − | 4.34259i | −0.591250 | − | 0.226991i | ||||
\(367\) | −11.3340 | + | 6.54368i | −0.591629 | + | 0.341577i | −0.765742 | − | 0.643148i | \(-0.777628\pi\) |
0.174112 | + | 0.984726i | \(0.444294\pi\) | |||||||
\(368\) | −25.5925 | − | 11.4002i | −1.33410 | − | 0.594275i | ||||
\(369\) | −8.53672 | − | 4.92868i | −0.444404 | − | 0.256577i | ||||
\(370\) | 0.506049 | − | 5.35691i | 0.0263082 | − | 0.278493i | ||||
\(371\) | −15.4753 | − | 0.227179i | −0.803436 | − | 0.0117945i | ||||
\(372\) | −4.36586 | + | 1.41811i | −0.226359 | + | 0.0735254i | ||||
\(373\) | 11.0243 | − | 19.0947i | 0.570817 | − | 0.988684i | −0.425665 | − | 0.904881i | \(-0.639960\pi\) |
0.996482 | − | 0.0838033i | \(-0.0267067\pi\) | |||||||
\(374\) | 22.0189 | − | 17.8289i | 1.13857 | − | 0.921908i | ||||
\(375\) | −1.83708 | + | 7.84375i | −0.0948662 | + | 0.405049i | ||||
\(376\) | 0.967380 | − | 18.4098i | 0.0498888 | − | 0.949413i | ||||
\(377\) | 8.66129 | 0.446079 | ||||||||
\(378\) | −11.6192 | + | 9.12909i | −0.597628 | + | 0.469550i | ||||
\(379\) | 18.8729 | 0.969437 | 0.484719 | − | 0.874670i | \(-0.338922\pi\) | ||||
0.484719 | + | 0.874670i | \(0.338922\pi\) | |||||||
\(380\) | −15.0725 | − | 7.48176i | −0.773201 | − | 0.383806i | ||||
\(381\) | 4.95946 | + | 8.59004i | 0.254081 | + | 0.440081i | ||||
\(382\) | 15.8911 | + | 19.6257i | 0.813059 | + | 1.00414i | ||||
\(383\) | 14.2851 | + | 8.24751i | 0.729935 | + | 0.421428i | 0.818398 | − | 0.574651i | \(-0.194862\pi\) |
−0.0884637 | + | 0.996079i | \(0.528196\pi\) | |||||||
\(384\) | 7.26238 | + | 3.70333i | 0.370607 | + | 0.188985i | ||||
\(385\) | −16.4366 | + | 16.3024i | −0.837686 | + | 0.830845i | ||||
\(386\) | 31.9410 | − | 5.05744i | 1.62575 | − | 0.257417i | ||||
\(387\) | −1.93094 | − | 1.11483i | −0.0981551 | − | 0.0566699i | ||||
\(388\) | −24.5709 | − | 22.1279i | −1.24740 | − | 1.12337i | ||||
\(389\) | 1.28484 | − | 0.741804i | 0.0651441 | − | 0.0376110i | −0.467074 | − | 0.884218i | \(-0.654692\pi\) |
0.532218 | + | 0.846607i | \(0.321359\pi\) | |||||||
\(390\) | −3.37023 | + | 4.74298i | −0.170658 | + | 0.240170i | ||||
\(391\) | −35.8591 | −1.81347 | ||||||||
\(392\) | −11.2683 | + | 16.2796i | −0.569137 | + | 0.822243i | ||||
\(393\) | − | 6.74639i | − | 0.340311i | ||||||
\(394\) | 18.0463 | + | 6.92828i | 0.909159 | + | 0.349042i | ||||
\(395\) | −22.0006 | + | 6.14521i | −1.10697 | + | 0.309199i | ||||
\(396\) | 14.4271 | + | 12.9927i | 0.724990 | + | 0.652905i | ||||
\(397\) | −23.3671 | − | 13.4910i | −1.17276 | − | 0.677093i | −0.218431 | − | 0.975852i | \(-0.570094\pi\) |
−0.954329 | + | 0.298759i | \(0.903427\pi\) | |||||||
\(398\) | −5.06512 | − | 31.9895i | −0.253892 | − | 1.60349i | ||||
\(399\) | 6.15884 | + | 3.67739i | 0.308327 | + | 0.184100i | ||||
\(400\) | 19.8422 | − | 2.50724i | 0.992111 | − | 0.125362i | ||||
\(401\) | 4.72660 | − | 8.18671i | 0.236035 | − | 0.408825i | −0.723538 | − | 0.690285i | \(-0.757485\pi\) |
0.959573 | + | 0.281460i | \(0.0908186\pi\) | |||||||
\(402\) | 1.98511 | + | 2.45164i | 0.0990084 | + | 0.122277i | ||||
\(403\) | −7.04415 | + | 4.06694i | −0.350894 | + | 0.202589i | ||||
\(404\) | −5.00438 | + | 23.5331i | −0.248977 | + | 1.17081i | ||||
\(405\) | 9.95614 | + | 2.55517i | 0.494725 | + | 0.126967i | ||||
\(406\) | 7.84076 | + | 9.97948i | 0.389130 | + | 0.495273i | ||||
\(407\) | 6.65830 | 0.330040 | ||||||||
\(408\) | 10.4197 | + | 0.547522i | 0.515850 | + | 0.0271064i | ||||
\(409\) | −18.4734 | + | 10.6656i | −0.913451 | + | 0.527381i | −0.881540 | − | 0.472110i | \(-0.843493\pi\) |
−0.0319110 | + | 0.999491i | \(0.510159\pi\) | |||||||
\(410\) | −5.23132 | − | 11.4244i | −0.258357 | − | 0.564209i | ||||
\(411\) | 11.6326 | + | 6.71607i | 0.573792 | + | 0.331279i | ||||
\(412\) | 0.0942953 | + | 0.290302i | 0.00464559 | + | 0.0143022i | ||||
\(413\) | −0.459773 | + | 31.3195i | −0.0226240 | + | 1.54113i | ||||
\(414\) | −3.84301 | − | 24.2711i | −0.188873 | − | 1.19286i | ||||
\(415\) | −1.23028 | + | 1.25659i | −0.0603920 | + | 0.0616835i | ||||
\(416\) | 13.9519 | + | 3.74187i | 0.684049 | + | 0.183460i | ||||
\(417\) | −2.81400 | + | 1.62466i | −0.137802 | + | 0.0795602i | ||||
\(418\) | 7.46300 | − | 19.4391i | 0.365027 | − | 0.950797i | ||||
\(419\) | 27.0871i | 1.32329i | 0.749816 | + | 0.661646i | \(0.230142\pi\) | ||||
−0.749816 | + | 0.661646i | \(0.769858\pi\) | |||||||
\(420\) | −8.51579 | + | 0.410500i | −0.415528 | + | 0.0200304i | ||||
\(421\) | − | 10.8575i | − | 0.529163i | −0.964363 | − | 0.264581i | \(-0.914766\pi\) | ||
0.964363 | − | 0.264581i | \(-0.0852338\pi\) | |||||||
\(422\) | 5.02560 | + | 1.92941i | 0.244642 | + | 0.0939224i | ||||
\(423\) | 14.0032 | − | 8.08473i | 0.680857 | − | 0.393093i | ||||
\(424\) | −9.01328 | + | 13.8750i | −0.437724 | + | 0.673830i | ||||
\(425\) | 21.8931 | − | 13.2653i | 1.06197 | − | 0.643463i | ||||
\(426\) | −12.4173 | + | 1.96612i | −0.601620 | + | 0.0952587i | ||||
\(427\) | −15.3276 | − | 27.4717i | −0.741755 | − | 1.32945i | ||||
\(428\) | −0.987497 | − | 3.04016i | −0.0477325 | − | 0.146952i | ||||
\(429\) | −6.23530 | − | 3.59995i | −0.301043 | − | 0.173807i | ||||
\(430\) | −1.18328 | − | 2.58410i | −0.0570630 | − | 0.124616i | ||||
\(431\) | 1.43863 | − | 0.830592i | 0.0692963 | − | 0.0400082i | −0.464952 | − | 0.885336i | \(-0.653928\pi\) |
0.534248 | + | 0.845328i | \(0.320595\pi\) | |||||||
\(432\) | 1.64831 | + | 15.7106i | 0.0793042 | + | 0.755875i | ||||
\(433\) | −30.7666 | −1.47855 | −0.739274 | − | 0.673405i | \(-0.764831\pi\) | ||||
−0.739274 | + | 0.673405i | \(0.764831\pi\) | |||||||
\(434\) | −11.0627 | − | 4.43456i | −0.531028 | − | 0.212866i | ||||
\(435\) | −1.35852 | + | 5.29345i | −0.0651361 | + | 0.253801i | ||||
\(436\) | −30.6554 | − | 6.51898i | −1.46813 | − | 0.312203i | ||||
\(437\) | −22.8237 | + | 13.1773i | −1.09181 | + | 0.630354i | ||||
\(438\) | −4.10787 | + | 3.32617i | −0.196281 | + | 0.158931i | ||||
\(439\) | 5.33622 | − | 9.24260i | 0.254684 | − | 0.441125i | −0.710126 | − | 0.704075i | \(-0.751362\pi\) |
0.964810 | + | 0.262950i | \(0.0846953\pi\) | |||||||
\(440\) | 5.39796 | + | 24.1527i | 0.257338 | + | 1.15143i | ||||
\(441\) | −17.3582 | − | 0.509749i | −0.826579 | − | 0.0242738i | ||||
\(442\) | 18.2609 | − | 2.89138i | 0.868584 | − | 0.137529i | ||||
\(443\) | −10.4954 | − | 6.05950i | −0.498650 | − | 0.287896i | 0.229506 | − | 0.973307i | \(-0.426289\pi\) |
−0.728156 | + | 0.685412i | \(0.759622\pi\) | |||||||
\(444\) | 1.82212 | + | 1.64095i | 0.0864738 | + | 0.0778758i | ||||
\(445\) | 1.69096 | − | 0.472319i | 0.0801591 | − | 0.0223901i | ||||
\(446\) | −7.68167 | + | 20.0087i | −0.363737 | + | 0.947437i | ||||
\(447\) | − | 16.7829i | − | 0.793804i | ||||||
\(448\) | 8.31883 | + | 19.4627i | 0.393028 | + | 0.919527i | ||||
\(449\) | 32.0498 | 1.51252 | 0.756261 | − | 0.654270i | \(-0.227024\pi\) | ||||
0.756261 | + | 0.654270i | \(0.227024\pi\) | |||||||
\(450\) | 11.3248 | + | 13.3966i | 0.533858 | + | 0.631520i | ||||
\(451\) | 13.4653 | − | 7.77422i | 0.634058 | − | 0.366074i | ||||
\(452\) | 10.9438 | − | 12.1520i | 0.514751 | − | 0.571582i | ||||
\(453\) | −6.21072 | − | 3.58576i | −0.291805 | − | 0.168474i | ||||
\(454\) | −2.61986 | − | 16.5461i | −0.122956 | − | 0.776548i | ||||
\(455\) | −14.6081 | + | 3.85010i | −0.684838 | + | 0.180496i | ||||
\(456\) | 6.83312 | − | 3.48045i | 0.319990 | − | 0.162987i | ||||
\(457\) | −5.80174 | − | 3.34963i | −0.271394 | − | 0.156689i | 0.358127 | − | 0.933673i | \(-0.383415\pi\) |
−0.629521 | + | 0.776984i | \(0.716749\pi\) | |||||||
\(458\) | 0.533147 | − | 0.431693i | 0.0249123 | − | 0.0201717i | ||||
\(459\) | 10.1093 | + | 17.5098i | 0.471862 | + | 0.817289i | ||||
\(460\) | 13.9272 | − | 28.0572i | 0.649359 | − | 1.30817i | ||||
\(461\) | 15.4768 | 0.720828 | 0.360414 | − | 0.932792i | \(-0.382635\pi\) | ||||
0.360414 | + | 0.932792i | \(0.382635\pi\) | |||||||
\(462\) | −1.49676 | − | 10.4432i | −0.0696354 | − | 0.485861i | ||||
\(463\) | 14.8717 | 0.691145 | 0.345572 | − | 0.938392i | \(-0.387685\pi\) | ||||
0.345572 | + | 0.938392i | \(0.387685\pi\) | |||||||
\(464\) | 13.4934 | − | 1.41569i | 0.626417 | − | 0.0657219i | ||||
\(465\) | −1.38068 | − | 4.94301i | −0.0640277 | − | 0.229227i | ||||
\(466\) | −23.4464 | − | 28.9567i | −1.08613 | − | 1.34139i | ||||
\(467\) | 0.0443182 | − | 0.0767615i | 0.00205080 | − | 0.00355210i | −0.864998 | − | 0.501775i | \(-0.832681\pi\) |
0.867049 | + | 0.498223i | \(0.166014\pi\) | |||||||
\(468\) | 3.91403 | + | 12.0499i | 0.180926 | + | 0.557008i | ||||
\(469\) | −0.120224 | + | 8.18956i | −0.00555141 | + | 0.378159i | ||||
\(470\) | 20.5198 | + | 1.93844i | 0.946509 | + | 0.0894133i | ||||
\(471\) | 7.18899 | + | 4.15056i | 0.331251 | + | 0.191248i | ||||
\(472\) | 28.0808 | + | 18.2414i | 1.29252 | + | 0.839630i | ||||
\(473\) | 3.04576 | − | 1.75847i | 0.140044 | − | 0.0808544i | ||||
\(474\) | 3.73098 | − | 9.71820i | 0.171370 | − | 0.446372i | ||||
\(475\) | 9.05990 | − | 16.4883i | 0.415697 | − | 0.756533i | ||||
\(476\) | 19.8624 | + | 18.4227i | 0.910392 | + | 0.844401i | ||||
\(477\) | −14.5121 | −0.664462 | ||||||||
\(478\) | 0.904272 | − | 2.35538i | 0.0413604 | − | 0.107733i | ||||
\(479\) | −4.36928 | − | 7.56782i | −0.199638 | − | 0.345783i | 0.748773 | − | 0.662826i | \(-0.230643\pi\) |
−0.948411 | + | 0.317044i | \(0.897310\pi\) | |||||||
\(480\) | −4.47525 | + | 7.93997i | −0.204266 | + | 0.362409i | ||||
\(481\) | 3.76285 | + | 2.17248i | 0.171571 | + | 0.0990567i | ||||
\(482\) | 11.7714 | − | 1.86385i | 0.536173 | − | 0.0848961i | ||||
\(483\) | −6.84541 | + | 11.4646i | −0.311477 | + | 0.521657i | ||||
\(484\) | −8.20262 | + | 2.66435i | −0.372846 | + | 0.121107i | ||||
\(485\) | 25.8631 | − | 26.4162i | 1.17438 | − | 1.19950i | ||||
\(486\) | −16.6621 | + | 13.4914i | −0.755806 | + | 0.611982i | ||||
\(487\) | 8.60661 | + | 14.9071i | 0.390003 | + | 0.675504i | 0.992449 | − | 0.122655i | \(-0.0391408\pi\) |
−0.602447 | + | 0.798159i | \(0.705807\pi\) | |||||||
\(488\) | −33.5841 | − | 1.76475i | −1.52028 | − | 0.0798863i | ||||
\(489\) | − | 5.65789i | − | 0.255859i | ||||||
\(490\) | −17.6603 | − | 13.3460i | −0.797809 | − | 0.602910i | ||||
\(491\) | −15.0849 | −0.680770 | −0.340385 | − | 0.940286i | \(-0.610557\pi\) | ||||
−0.340385 | + | 0.940286i | \(0.610557\pi\) | |||||||
\(492\) | 5.60090 | + | 1.19105i | 0.252508 | + | 0.0536967i | ||||
\(493\) | 15.0388 | − | 8.68265i | 0.677313 | − | 0.391047i | ||||
\(494\) | 10.5602 | − | 8.55070i | 0.475128 | − | 0.384714i | ||||
\(495\) | −15.1858 | + | 15.5106i | −0.682553 | + | 0.697149i | ||||
\(496\) | −10.3094 | + | 7.48727i | −0.462904 | + | 0.336188i | ||||
\(497\) | −28.0260 | − | 16.7341i | −1.25714 | − | 0.750625i | ||||
\(498\) | −0.125332 | − | 0.791553i | −0.00561626 | − | 0.0354703i | ||||
\(499\) | −12.9769 | + | 22.4766i | −0.580925 | + | 1.00619i | 0.414445 | + | 0.910074i | \(0.363976\pi\) |
−0.995370 | + | 0.0961171i | \(0.969358\pi\) | |||||||
\(500\) | 1.87619 | + | 22.2818i | 0.0839058 | + | 0.996474i | ||||
\(501\) | 11.0492 | − | 6.37926i | 0.493642 | − | 0.285004i | ||||
\(502\) | −10.1309 | + | 26.3881i | −0.452162 | + | 1.17776i | ||||
\(503\) | − | 6.00776i | − | 0.267873i | −0.990990 | − | 0.133936i | \(-0.957238\pi\) | ||
0.990990 | − | 0.133936i | \(-0.0427618\pi\) | |||||||
\(504\) | −10.3406 | + | 15.4181i | −0.460608 | + | 0.686777i | ||||
\(505\) | −26.0547 | − | 6.68674i | −1.15942 | − | 0.297556i | ||||
\(506\) | 36.1856 | + | 13.8923i | 1.60865 | + | 0.617587i | ||||
\(507\) | 2.33438 | + | 4.04327i | 0.103674 | + | 0.179568i | ||||
\(508\) | 20.4582 | + | 18.4241i | 0.907685 | + | 0.817435i | ||||
\(509\) | 4.28454 | − | 7.42104i | 0.189909 | − | 0.328932i | −0.755311 | − | 0.655367i | \(-0.772514\pi\) |
0.945220 | + | 0.326435i | \(0.105847\pi\) | |||||||
\(510\) | −1.09712 | + | 11.6139i | −0.0485814 | + | 0.514272i | ||||
\(511\) | −13.7221 | − | 0.201442i | −0.607029 | − | 0.00891125i | ||||
\(512\) | 22.3474 | + | 3.54902i | 0.987623 | + | 0.156846i | ||||
\(513\) | 12.8688 | + | 7.42979i | 0.568171 | + | 0.328033i | ||||
\(514\) | 1.13526 | − | 0.919230i | 0.0500743 | − | 0.0405455i | ||||
\(515\) | −0.328680 | + | 0.0918070i | −0.0144834 | + | 0.00404550i | ||||
\(516\) | 1.26688 | + | 0.269406i | 0.0557713 | + | 0.0118600i | ||||
\(517\) | 25.5048i | 1.12170i | ||||||||
\(518\) | 0.903256 | + | 6.30220i | 0.0396868 | + | 0.276903i | ||||
\(519\) | − | 3.08739i | − | 0.135521i | ||||||
\(520\) | −4.83000 | + | 15.4108i | −0.211809 | + | 0.675809i | ||||
\(521\) | 16.4208 | − | 9.48055i | 0.719408 | − | 0.415350i | −0.0951267 | − | 0.995465i | \(-0.530326\pi\) |
0.814535 | + | 0.580115i | \(0.196992\pi\) | |||||||
\(522\) | 7.48850 | + | 9.24840i | 0.327763 | + | 0.404792i | ||||
\(523\) | 18.0605 | − | 31.2816i | 0.789729 | − | 1.36785i | −0.136404 | − | 0.990653i | \(-0.543555\pi\) |
0.926133 | − | 0.377197i | \(-0.123112\pi\) | |||||||
\(524\) | −5.78490 | − | 17.8097i | −0.252714 | − | 0.778020i | ||||
\(525\) | −0.0617588 | − | 9.53179i | −0.00269538 | − | 0.416002i | ||||
\(526\) | −1.47328 | − | 9.30473i | −0.0642382 | − | 0.405705i | ||||
\(527\) | −8.15394 | + | 14.1230i | −0.355191 | + | 0.615209i | ||||
\(528\) | −10.3024 | − | 4.58921i | −0.448354 | − | 0.199720i | ||||
\(529\) | −13.0293 | − | 22.5674i | −0.566492 | − | 0.981192i | ||||
\(530\) | −15.0793 | − | 10.7149i | −0.655002 | − | 0.465426i | ||||
\(531\) | 29.3701i | 1.27455i | ||||||||
\(532\) | 19.4119 | + | 4.42679i | 0.841612 | + | 0.191926i | ||||
\(533\) | 10.1463 | 0.439487 | ||||||||
\(534\) | −0.286763 | + | 0.746939i | −0.0124094 | + | 0.0323232i | ||||
\(535\) | 3.44206 | − | 0.961439i | 0.148813 | − | 0.0415666i | ||||
\(536\) | 7.34270 | + | 4.76985i | 0.317156 | + | 0.206026i | ||||
\(537\) | 4.94513 | − | 8.56522i | 0.213398 | − | 0.369616i | ||||
\(538\) | 1.65900 | + | 10.4776i | 0.0715245 | + | 0.451723i | ||||
\(539\) | 14.3862 | − | 23.3096i | 0.619659 | − | 1.00401i | ||||
\(540\) | −17.6265 | + | 1.10922i | −0.758524 | + | 0.0477333i | ||||
\(541\) | 12.3425 | + | 7.12594i | 0.530645 | + | 0.306368i | 0.741279 | − | 0.671197i | \(-0.234219\pi\) |
−0.210634 | + | 0.977565i | \(0.567553\pi\) | |||||||
\(542\) | −2.36925 | + | 1.91840i | −0.101768 | + | 0.0824022i | ||||
\(543\) | 3.38679 | + | 5.86609i | 0.145341 | + | 0.251738i | ||||
\(544\) | 27.9762 | − | 7.48925i | 1.19947 | − | 0.321099i | ||||
\(545\) | 8.71051 | − | 33.9403i | 0.373117 | − | 1.45384i | ||||
\(546\) | 2.56155 | − | 6.39019i | 0.109624 | − | 0.273475i | ||||
\(547\) | − | 22.3957i | − | 0.957570i | −0.877932 | − | 0.478785i | \(-0.841077\pi\) | ||
0.877932 | − | 0.478785i | \(-0.158923\pi\) | |||||||
\(548\) | 36.4675 | + | 7.75494i | 1.55782 | + | 0.331275i | ||||
\(549\) | −14.7486 | − | 25.5453i | −0.629455 | − | 1.09025i | ||||
\(550\) | −27.2316 | + | 4.90445i | −1.16116 | + | 0.209127i | ||||
\(551\) | 6.38128 | − | 11.0527i | 0.271852 | − | 0.470861i | ||||
\(552\) | 6.47882 | + | 12.7198i | 0.275757 | + | 0.541389i | ||||
\(553\) | 23.6026 | − | 13.1689i | 1.00369 | − | 0.559998i | ||||
\(554\) | −2.64757 | − | 16.7211i | −0.112485 | − | 0.710412i | ||||
\(555\) | −1.91794 | + | 1.95896i | −0.0814121 | + | 0.0831531i | ||||
\(556\) | −6.03552 | + | 6.70188i | −0.255963 | + | 0.284223i | ||||
\(557\) | −10.3454 | − | 17.9188i | −0.438350 | − | 0.759244i | 0.559213 | − | 0.829024i | \(-0.311103\pi\) |
−0.997562 | + | 0.0697803i | \(0.977770\pi\) | |||||||
\(558\) | −10.4330 | − | 4.00539i | −0.441662 | − | 0.169562i | ||||
\(559\) | 2.29502 | 0.0970692 | ||||||||
\(560\) | −22.1287 | + | 8.38579i | −0.935107 | + | 0.354364i | ||||
\(561\) | −14.4353 | −0.609460 | ||||||||
\(562\) | −4.04198 | − | 1.55179i | −0.170501 | − | 0.0654581i | ||||
\(563\) | −8.03504 | − | 13.9171i | −0.338636 | − | 0.586536i | 0.645540 | − | 0.763726i | \(-0.276632\pi\) |
−0.984177 | + | 0.177191i | \(0.943299\pi\) | |||||||
\(564\) | −6.28569 | + | 6.97967i | −0.264675 | + | 0.293897i | ||||
\(565\) | 13.0646 | + | 12.7911i | 0.549633 | + | 0.538125i | ||||
\(566\) | −4.57920 | − | 28.9206i | −0.192478 | − | 1.21562i | ||||
\(567\) | −12.1607 | − | 0.178521i | −0.510703 | − | 0.00749717i | ||||
\(568\) | −31.0943 | + | 15.8379i | −1.30469 | + | 0.664544i | ||||
\(569\) | 8.09523 | − | 14.0213i | 0.339370 | − | 0.587805i | −0.644945 | − | 0.764229i | \(-0.723120\pi\) |
0.984314 | + | 0.176424i | \(0.0564530\pi\) | |||||||
\(570\) | 3.56949 | + | 7.79519i | 0.149510 | + | 0.326505i | ||||
\(571\) | 15.6257 | + | 27.0645i | 0.653914 | + | 1.13261i | 0.982165 | + | 0.188022i | \(0.0602076\pi\) |
−0.328251 | + | 0.944591i | \(0.606459\pi\) | |||||||
\(572\) | −19.5473 | − | 4.15681i | −0.817315 | − | 0.173805i | ||||
\(573\) | − | 12.8664i | − | 0.537501i | ||||||
\(574\) | 9.18513 | + | 11.6906i | 0.383380 | + | 0.487955i | ||||
\(575\) | 30.6927 | + | 16.8649i | 1.27997 | + | 0.703314i | ||||
\(576\) | 8.06724 | + | 18.1329i | 0.336135 | + | 0.755536i | ||||
\(577\) | 1.08399 | + | 1.87753i | 0.0451271 | + | 0.0781625i | 0.887707 | − | 0.460409i | \(-0.152297\pi\) |
−0.842580 | + | 0.538572i | \(0.818964\pi\) | |||||||
\(578\) | 10.1238 | − | 8.19731i | 0.421094 | − | 0.340963i | ||||
\(579\) | −14.2694 | − | 8.23845i | −0.593016 | − | 0.342378i | ||||
\(580\) | 0.952685 | + | 15.1390i | 0.0395581 | + | 0.628612i | ||||
\(581\) | 1.06673 | − | 1.78654i | 0.0442553 | − | 0.0741183i | ||||
\(582\) | 2.63475 | + | 16.6401i | 0.109214 | + | 0.689756i | ||||
\(583\) | 11.4453 | − | 19.8238i | 0.474014 | − | 0.821017i | ||||
\(584\) | −7.99216 | + | 12.3031i | −0.330718 | + | 0.509106i | ||||
\(585\) | −13.6429 | + | 3.81074i | −0.564065 | + | 0.157555i | ||||
\(586\) | 15.4785 | − | 40.3173i | 0.639411 | − | 1.66549i | ||||
\(587\) | −30.3449 | −1.25247 | −0.626235 | − | 0.779634i | \(-0.715405\pi\) | ||||
−0.626235 | + | 0.779634i | \(0.715405\pi\) | |||||||
\(588\) | 9.68162 | − | 2.83341i | 0.399263 | − | 0.116848i | ||||
\(589\) | 11.9854i | 0.493850i | ||||||||
\(590\) | −21.6853 | + | 30.5180i | −0.892768 | + | 1.25641i | ||||
\(591\) | −4.92452 | − | 8.52952i | −0.202568 | − | 0.350857i | ||||
\(592\) | 6.21725 | + | 2.76948i | 0.255527 | + | 0.113825i | ||||
\(593\) | −18.6695 | + | 32.3365i | −0.766664 | + | 1.32790i | 0.172699 | + | 0.984975i | \(0.444751\pi\) |
−0.939363 | + | 0.342926i | \(0.888582\pi\) | |||||||
\(594\) | −3.41782 | − | 21.5857i | −0.140235 | − | 0.885673i | ||||
\(595\) | −21.5048 | + | 21.3291i | −0.881609 | + | 0.874410i | ||||
\(596\) | −14.3910 | − | 44.3049i | −0.589478 | − | 1.81480i | ||||
\(597\) | −8.25095 | + | 14.2911i | −0.337689 | + | 0.584895i | ||||
\(598\) | 15.9170 | + | 19.6578i | 0.650896 | + | 0.803865i | ||||
\(599\) | 12.2174 | − | 7.05370i | 0.499188 | − | 0.288206i | −0.229190 | − | 0.973382i | \(-0.573608\pi\) |
0.728378 | + | 0.685175i | \(0.240274\pi\) | |||||||
\(600\) | −8.66092 | − | 5.36910i | −0.353581 | − | 0.219192i | ||||
\(601\) | − | 19.7058i | − | 0.803815i | −0.915680 | − | 0.401907i | \(-0.868347\pi\) | ||
0.915680 | − | 0.401907i | \(-0.131653\pi\) | |||||||
\(602\) | 2.07761 | + | 2.64431i | 0.0846769 | + | 0.107774i | ||||
\(603\) | 7.67982i | 0.312747i | ||||||||
\(604\) | −19.4703 | − | 4.14042i | −0.792235 | − | 0.168471i | ||||
\(605\) | −2.59404 | − | 9.28698i | −0.105463 | − | 0.377569i | ||||
\(606\) | 9.52689 | − | 7.71399i | 0.387003 | − | 0.313359i | ||||
\(607\) | −28.1585 | − | 16.2573i | −1.14292 | − | 0.659865i | −0.195768 | − | 0.980650i | \(-0.562720\pi\) |
−0.947152 | + | 0.320785i | \(0.896053\pi\) | |||||||
\(608\) | 15.0542 | − | 15.0472i | 0.610529 | − | 0.610246i | ||||
\(609\) | 0.0949153 | − | 6.46557i | 0.00384616 | − | 0.261998i | ||||
\(610\) | 3.53619 | − | 37.4333i | 0.143176 | − | 1.51563i | ||||
\(611\) | −8.32176 | + | 14.4137i | −0.336662 | + | 0.583116i | ||||
\(612\) | 18.8757 | + | 16.9989i | 0.763004 | + | 0.687140i | ||||
\(613\) | −6.14971 | − | 10.6516i | −0.248384 | − | 0.430214i | 0.714693 | − | 0.699438i | \(-0.246566\pi\) |
−0.963078 | + | 0.269224i | \(0.913233\pi\) | |||||||
\(614\) | 9.44605 | + | 3.62650i | 0.381212 | + | 0.146354i | ||||
\(615\) | −1.59145 | + | 6.20106i | −0.0641736 | + | 0.250051i | ||||
\(616\) | −12.9061 | − | 26.2853i | −0.520001 | − | 1.05907i | ||||
\(617\) | − | 16.0440i | − | 0.645909i | −0.946415 | − | 0.322954i | \(-0.895324\pi\) | ||
0.946415 | − | 0.322954i | \(-0.104676\pi\) | |||||||
\(618\) | 0.0557394 | − | 0.145186i | 0.00224217 | − | 0.00584024i | ||||
\(619\) | −20.5927 | + | 11.8892i | −0.827691 | + | 0.477868i | −0.853061 | − | 0.521810i | \(-0.825257\pi\) |
0.0253703 | + | 0.999678i | \(0.491924\pi\) | |||||||
\(620\) | −7.88338 | − | 11.8651i | −0.316604 | − | 0.476513i | ||||
\(621\) | −13.8305 | + | 23.9551i | −0.554997 | + | 0.961284i | ||||
\(622\) | −2.03772 | − | 12.8695i | −0.0817052 | − | 0.516021i | ||||
\(623\) | −1.81409 | + | 1.01216i | −0.0726801 | + | 0.0405512i | ||||
\(624\) | −4.32489 | − | 5.95502i | −0.173134 | − | 0.238392i | ||||
\(625\) | −24.9776 | + | 1.05759i | −0.999105 | + | 0.0423038i | ||||
\(626\) | −11.3296 | + | 9.17367i | −0.452823 | + | 0.366654i | ||||
\(627\) | −9.18782 | + | 5.30459i | −0.366926 | + | 0.211845i | ||||
\(628\) | 22.5371 | + | 4.79259i | 0.899329 | + | 0.191245i | ||||
\(629\) | 8.71136 | 0.347345 | ||||||||
\(630\) | −16.7412 | − | 12.2695i | −0.666984 | − | 0.488830i | ||||
\(631\) | − | 20.0177i | − | 0.796893i | −0.917192 | − | 0.398447i | \(-0.869549\pi\) | ||
0.917192 | − | 0.398447i | \(-0.130451\pi\) | |||||||
\(632\) | 1.51620 | − | 28.8542i | 0.0603112 | − | 1.14776i | ||||
\(633\) | −1.37140 | − | 2.37533i | −0.0545082 | − | 0.0944109i | ||||
\(634\) | −36.7685 | + | 29.7717i | −1.46026 | + | 1.18239i | ||||
\(635\) | −21.5341 | + | 21.9946i | −0.854554 | + | 0.872829i | ||||
\(636\) | 8.01771 | − | 2.60429i | 0.317923 | − | 0.103267i | ||||
\(637\) | 15.7357 | − | 8.47913i | 0.623470 | − | 0.335956i | ||||
\(638\) | −18.5395 | + | 2.93549i | −0.733985 | + | 0.116217i | ||||
\(639\) | −26.5062 | − | 15.3034i | −1.04857 | − | 0.605392i | ||||
\(640\) | −5.00576 | + | 24.7980i | −0.197870 | + | 0.980228i | ||||
\(641\) | −0.346690 | − | 0.600484i | −0.0136934 | − | 0.0237177i | 0.859097 | − | 0.511812i | \(-0.171026\pi\) |
−0.872791 | + | 0.488094i | \(0.837692\pi\) | |||||||
\(642\) | −0.583725 | + | 1.52045i | −0.0230378 | + | 0.0600072i | ||||
\(643\) | 42.2717 | 1.66703 | 0.833516 | − | 0.552495i | \(-0.186324\pi\) | ||||
0.833516 | + | 0.552495i | \(0.186324\pi\) | |||||||
\(644\) | −8.24041 | + | 36.1350i | −0.324718 | + | 1.42392i | ||||
\(645\) | −0.359974 | + | 1.40263i | −0.0141740 | + | 0.0552286i | ||||
\(646\) | 9.76419 | − | 25.4331i | 0.384167 | − | 1.00065i | ||||
\(647\) | −30.8701 | + | 17.8229i | −1.21363 | + | 0.700690i | −0.963548 | − | 0.267535i | \(-0.913791\pi\) |
−0.250082 | + | 0.968225i | \(0.580458\pi\) | |||||||
\(648\) | −7.08278 | + | 10.9032i | −0.278238 | + | 0.428319i | ||||
\(649\) | −40.1201 | − | 23.1634i | −1.57485 | − | 0.909242i | ||||
\(650\) | −16.9898 | − | 6.11348i | −0.666395 | − | 0.239790i | ||||
\(651\) | 2.95874 | + | 5.30296i | 0.115962 | + | 0.207839i | ||||
\(652\) | −4.85153 | − | 14.9362i | −0.190001 | − | 0.584946i | ||||
\(653\) | −1.40762 | + | 2.43807i | −0.0550845 | + | 0.0954091i | −0.892253 | − | 0.451536i | \(-0.850876\pi\) |
0.837168 | + | 0.546945i | \(0.184209\pi\) | |||||||
\(654\) | 10.0487 | + | 12.4102i | 0.392934 | + | 0.485279i | ||||
\(655\) | 20.1641 | − | 5.63224i | 0.787876 | − | 0.220070i | ||||
\(656\) | 15.8070 | − | 1.65843i | 0.617161 | − | 0.0647507i | ||||
\(657\) | −12.8680 | −0.502028 | ||||||||
\(658\) | −24.1408 | + | 3.45995i | −0.941106 | + | 0.134883i | ||||
\(659\) | 8.69907 | 0.338868 | 0.169434 | − | 0.985542i | \(-0.445806\pi\) | ||||
0.169434 | + | 0.985542i | \(0.445806\pi\) | |||||||
\(660\) | 5.60648 | − | 11.2946i | 0.218232 | − | 0.439641i | ||||
\(661\) | −13.7443 | − | 23.8058i | −0.534591 | − | 0.925939i | −0.999183 | − | 0.0404142i | \(-0.987132\pi\) |
0.464592 | − | 0.885525i | \(-0.346201\pi\) | |||||||
\(662\) | −0.287710 | + | 0.232961i | −0.0111822 | + | 0.00905428i | ||||
\(663\) | −8.15793 | − | 4.70998i | −0.316828 | − | 0.182921i | ||||
\(664\) | −1.00960 | − | 1.98214i | −0.0391802 | − | 0.0769218i | ||||
\(665\) | −5.84951 | + | 21.4780i | −0.226834 | + | 0.832882i | ||||
\(666\) | 0.933592 | + | 5.89624i | 0.0361760 | + | 0.228474i | ||||
\(667\) | 20.5745 | + | 11.8787i | 0.796646 | + | 0.459944i | ||||
\(668\) | 23.6985 | − | 26.3150i | 0.916924 | − | 1.01816i | ||||
\(669\) | 9.45702 | − | 5.46001i | 0.365630 | − | 0.211096i | ||||
\(670\) | −5.67036 | + | 7.98000i | −0.219065 | + | 0.308294i | ||||
\(671\) | 46.5272 | 1.79616 | ||||||||
\(672\) | 2.94616 | − | 10.3740i | 0.113651 | − | 0.400185i | ||||
\(673\) | 12.1015i | 0.466480i | 0.972419 | + | 0.233240i | \(0.0749328\pi\) | ||||
−0.972419 | + | 0.233240i | \(0.925067\pi\) | |||||||
\(674\) | 6.97181 | − | 18.1597i | 0.268544 | − | 0.699484i | ||||
\(675\) | −0.417759 | − | 19.7416i | −0.0160795 | − | 0.759854i | ||||
\(676\) | 9.62953 | + | 8.67208i | 0.370366 | + | 0.333541i | ||||
\(677\) | −5.13926 | − | 2.96715i | −0.197518 | − | 0.114037i | 0.397979 | − | 0.917394i | \(-0.369712\pi\) |
−0.595497 | + | 0.803357i | \(0.703045\pi\) | |||||||
\(678\) | −8.22969 | + | 1.30306i | −0.316059 | + | 0.0500439i | ||||
\(679\) | −22.4249 | + | 37.5569i | −0.860589 | + | 1.44130i | ||||
\(680\) | 7.06240 | + | 31.6001i | 0.270831 | + | 1.21181i | ||||
\(681\) | −4.26769 | + | 7.39186i | −0.163538 | + | 0.283257i | ||||
\(682\) | 13.6996 | − | 11.0927i | 0.524586 | − | 0.424761i | ||||
\(683\) | −15.2951 | + | 8.83063i | −0.585250 | + | 0.337894i | −0.763217 | − | 0.646142i | \(-0.776381\pi\) |
0.177967 | + | 0.984036i | \(0.443048\pi\) | |||||||
\(684\) | 18.2607 | + | 3.88319i | 0.698213 | + | 0.148477i | ||||
\(685\) | −10.3620 | + | 40.3752i | −0.395910 | + | 1.54266i | ||||
\(686\) | 24.0146 | + | 10.4547i | 0.916880 | + | 0.399162i | ||||
\(687\) | −0.349524 | −0.0133352 | ||||||||
\(688\) | 3.57543 | − | 0.375123i | 0.136312 | − | 0.0143014i | ||||
\(689\) | 12.9363 | − | 7.46876i | 0.492833 | − | 0.284537i | ||||
\(690\) | −14.5107 | + | 6.64456i | −0.552411 | + | 0.252954i | ||||
\(691\) | 11.4396 | + | 6.60468i | 0.435184 | + | 0.251254i | 0.701553 | − | 0.712617i | \(-0.252490\pi\) |
−0.266368 | + | 0.963871i | \(0.585824\pi\) | |||||||
\(692\) | −2.64737 | − | 8.15034i | −0.100638 | − | 0.309830i | ||||
\(693\) | 13.1671 | − | 22.0520i | 0.500176 | − | 0.837687i | ||||
\(694\) | −40.1790 | + | 6.36181i | −1.52517 | + | 0.241491i | ||||
\(695\) | −7.20519 | − | 7.05433i | −0.273308 | − | 0.267586i | ||||
\(696\) | −5.79698 | − | 3.76575i | −0.219734 | − | 0.142740i | ||||
\(697\) | 17.6173 | − | 10.1714i | 0.667304 | − | 0.385268i | ||||
\(698\) | 31.6192 | + | 12.1392i | 1.19681 | + | 0.459474i | ||||
\(699\) | 18.9836i | 0.718027i | ||||||||
\(700\) | −8.33636 | − | 25.1099i | −0.315085 | − | 0.949064i | ||||
\(701\) | 6.75429i | 0.255106i | 0.991832 | + | 0.127553i | \(0.0407123\pi\) | ||||
−0.991832 | + | 0.127553i | \(0.959288\pi\) | |||||||
\(702\) | 5.11150 | − | 13.3141i | 0.192921 | − | 0.502507i | ||||
\(703\) | 5.54462 | − | 3.20119i | 0.209119 | − | 0.120735i | ||||
\(704\) | −31.1323 | − | 3.28088i | −1.17334 | − | 0.123653i | ||||
\(705\) | −7.50384 | − | 7.34673i | −0.282611 | − | 0.276694i | ||||
\(706\) | 5.30502 | + | 33.5046i | 0.199657 | + | 1.26096i | ||||
\(707\) | 31.8240 | + | 0.467180i | 1.19686 | + | 0.0175701i | ||||
\(708\) | −5.27067 | − | 16.2266i | −0.198084 | − | 0.609831i | ||||
\(709\) | 34.2027 | + | 19.7470i | 1.28451 | + | 0.741612i | 0.977669 | − | 0.210148i | \(-0.0673947\pi\) |
0.306841 | + | 0.951761i | \(0.400728\pi\) | |||||||
\(710\) | −16.2431 | − | 35.4723i | −0.609592 | − | 1.33125i | ||||
\(711\) | 21.9475 | − | 12.6714i | 0.823097 | − | 0.475215i | ||||
\(712\) | −0.116535 | + | 2.21772i | −0.00436733 | + | 0.0831127i | ||||
\(713\) | −22.3107 | −0.835542 | ||||||||
\(714\) | −1.95828 | − | 13.6633i | −0.0732866 | − | 0.511336i | ||||
\(715\) | 5.55423 | − | 21.6419i | 0.207716 | − | 0.809362i | ||||
\(716\) | 5.71007 | − | 26.8515i | 0.213395 | − | 1.00349i | ||||
\(717\) | −1.11326 | + | 0.642743i | −0.0415756 | + | 0.0240037i | ||||
\(718\) | −15.7532 | − | 19.4554i | −0.587902 | − | 0.726068i | ||||
\(719\) | −4.16021 | + | 7.20569i | −0.155150 | + | 0.268727i | −0.933113 | − | 0.359582i | \(-0.882919\pi\) |
0.777964 | + | 0.628309i | \(0.216253\pi\) | |||||||
\(720\) | −20.6315 | + | 8.16671i | −0.768889 | + | 0.304355i | ||||
\(721\) | 0.352614 | − | 0.196738i | 0.0131320 | − | 0.00732690i | ||||
\(722\) | 1.07094 | + | 6.76367i | 0.0398562 | + | 0.251718i | ||||
\(723\) | −5.25879 | − | 3.03616i | −0.195577 | − | 0.112916i | ||||
\(724\) | 13.9708 | + | 12.5817i | 0.519220 | + | 0.467595i | ||||
\(725\) | −16.9556 | + | 0.358803i | −0.629715 | + | 0.0133256i | ||||
\(726\) | 4.10229 | + | 1.57494i | 0.152250 | + | 0.0584515i | ||||
\(727\) | 12.2319i | 0.453654i | 0.973935 | + | 0.226827i | \(0.0728353\pi\) | ||||
−0.973935 | + | 0.226827i | \(0.927165\pi\) | |||||||
\(728\) | 1.28273 | − | 19.0658i | 0.0475412 | − | 0.706627i | ||||
\(729\) | −2.86701 | −0.106186 | ||||||||
\(730\) | −13.3709 | − | 9.50101i | −0.494881 | − | 0.351648i | ||||
\(731\) | 3.98490 | − | 2.30069i | 0.147387 | − | 0.0850939i | ||||
\(732\) | 12.7327 | + | 11.4667i | 0.470613 | + | 0.423821i | ||||
\(733\) | 18.7710 | + | 10.8375i | 0.693324 | + | 0.400291i | 0.804856 | − | 0.593470i | \(-0.202242\pi\) |
−0.111532 | + | 0.993761i | \(0.535576\pi\) | |||||||
\(734\) | 18.2806 | − | 2.89449i | 0.674749 | − | 0.106838i | ||||
\(735\) | 2.71398 | + | 10.9470i | 0.100107 | + | 0.403786i | ||||
\(736\) | 28.0103 | + | 28.0232i | 1.03247 | + | 1.03295i | ||||
\(737\) | −10.4908 | − | 6.05686i | −0.386433 | − | 0.223107i | ||||
\(738\) | 8.77248 | + | 10.8341i | 0.322919 | + | 0.398810i | ||||
\(739\) | −4.41640 | − | 7.64942i | −0.162460 | − | 0.281389i | 0.773291 | − | 0.634052i | \(-0.218609\pi\) |
−0.935750 | + | 0.352663i | \(0.885276\pi\) | |||||||
\(740\) | −3.38337 | + | 6.81601i | −0.124375 | + | 0.250562i | ||||
\(741\) | −6.92316 | −0.254329 | ||||||||
\(742\) | 20.3162 | + | 8.14389i | 0.745832 | + | 0.298972i | ||||
\(743\) | 10.8875 | 0.399425 | 0.199712 | − | 0.979855i | \(-0.435999\pi\) | ||||
0.199712 | + | 0.979855i | \(0.435999\pi\) | |||||||
\(744\) | 6.48286 | + | 0.340655i | 0.237673 | + | 0.0124890i | ||||
\(745\) | 50.1619 | − | 14.0112i | 1.83779 | − | 0.513332i | ||||
\(746\) | −24.2334 | + | 19.6220i | −0.887249 | + | 0.718412i | ||||
\(747\) | 0.975528 | − | 1.68966i | 0.0356927 | − | 0.0618216i | ||||
\(748\) | −38.1075 | + | 12.3780i | −1.39335 | + | 0.452584i | ||||
\(749\) | −3.69271 | + | 2.06032i | −0.134929 | + | 0.0752823i | ||||
\(750\) | 6.40117 | − | 9.42462i | 0.233738 | − | 0.344138i | ||||
\(751\) | 16.9728 | + | 9.79926i | 0.619347 | + | 0.357580i | 0.776615 | − | 0.629976i | \(-0.216935\pi\) |
−0.157268 | + | 0.987556i | \(0.550269\pi\) | |||||||
\(752\) | −10.6086 | + | 23.8154i | −0.386855 | + | 0.868457i | ||||
\(753\) | 12.4723 | − | 7.20086i | 0.454514 | − | 0.262414i | ||||
\(754\) | −11.4351 | − | 4.39015i | −0.416443 | − | 0.159880i | ||||
\(755\) | 5.53234 | − | 21.5566i | 0.201342 | − | 0.784525i | ||||
\(756\) | 19.9676 | − | 6.16332i | 0.726216 | − | 0.224158i | ||||
\(757\) | −29.5411 | −1.07369 | −0.536845 | − | 0.843681i | \(-0.680384\pi\) | ||||
−0.536845 | + | 0.843681i | \(0.680384\pi\) | |||||||
\(758\) | −24.9171 | − | 9.56612i | −0.905032 | − | 0.347457i | ||||
\(759\) | −9.87442 | − | 17.1030i | −0.358419 | − | 0.620800i | ||||
\(760\) | 16.1073 | + | 17.5176i | 0.584272 | + | 0.635431i | ||||
\(761\) | 19.6992 | + | 11.3734i | 0.714097 | + | 0.412284i | 0.812576 | − | 0.582855i | \(-0.198064\pi\) |
−0.0984792 | + | 0.995139i | \(0.531398\pi\) | |||||||
\(762\) | −2.19374 | − | 13.8549i | −0.0794708 | − | 0.501909i | ||||
\(763\) | −0.608573 | + | 41.4557i | −0.0220318 | + | 1.50080i | ||||
\(764\) | −11.0327 | − | 33.9657i | −0.399148 | − | 1.22884i | ||||
\(765\) | −19.8683 | + | 20.2932i | −0.718342 | + | 0.733703i | ||||
\(766\) | −14.6796 | − | 18.1295i | −0.530396 | − | 0.655047i | ||||
\(767\) | −15.1156 | − | 26.1809i | −0.545792 | − | 0.945339i | ||||
\(768\) | −7.71111 | − | 8.57044i | −0.278251 | − | 0.309259i | ||||
\(769\) | 49.3053i | 1.77799i | 0.457913 | + | 0.888997i | \(0.348597\pi\) | ||||
−0.457913 | + | 0.888997i | \(0.651403\pi\) | |||||||
\(770\) | 29.9637 | − | 13.1921i | 1.07982 | − | 0.475411i | ||||
\(771\) | −0.744264 | −0.0268040 | ||||||||
\(772\) | −44.7339 | − | 9.51281i | −1.61001 | − | 0.342373i | ||||
\(773\) | −17.7806 | + | 10.2656i | −0.639522 | + | 0.369228i | −0.784430 | − | 0.620217i | \(-0.787045\pi\) |
0.144908 | + | 0.989445i | \(0.453711\pi\) | |||||||
\(774\) | 1.98427 | + | 2.45060i | 0.0713230 | + | 0.0880849i | ||||
\(775\) | 13.6213 | − | 8.25337i | 0.489293 | − | 0.296470i | ||||
\(776\) | 21.2240 | + | 41.6688i | 0.761897 | + | 1.49582i | ||||
\(777\) | 1.66297 | − | 2.78513i | 0.0596589 | − | 0.0999159i | ||||
\(778\) | −2.07232 | + | 0.328125i | −0.0742964 | + | 0.0117639i | ||||
\(779\) | 7.47541 | − | 12.9478i | 0.267834 | − | 0.463903i | ||||
\(780\) | 6.85365 | − | 4.55370i | 0.245400 | − | 0.163049i | ||||
\(781\) | 41.8094 | − | 24.1387i | 1.49606 | − | 0.863750i | ||||
\(782\) | 47.3433 | + | 18.1759i | 1.69299 | + | 0.649970i | ||||
\(783\) | − | 13.3952i | − | 0.478705i | ||||||
\(784\) | 23.1287 | − | 15.7817i | 0.826027 | − | 0.563631i | ||||
\(785\) | −6.40375 | + | 24.9521i | −0.228560 | + | 0.890577i | ||||
\(786\) | −3.41954 | + | 8.90699i | −0.121971 | + | 0.317702i | ||||
\(787\) | 1.52258 | + | 2.63719i | 0.0542741 | + | 0.0940056i | 0.891886 | − | 0.452260i | \(-0.149382\pi\) |
−0.837612 | + | 0.546266i | \(0.816049\pi\) | |||||||
\(788\) | −20.3140 | − | 18.2942i | −0.723658 | − | 0.651706i | ||||
\(789\) | −2.39994 | + | 4.15682i | −0.0854401 | + | 0.147987i | ||||
\(790\) | 32.1612 | + | 3.03816i | 1.14425 | + | 0.108093i | ||||
\(791\) | −18.5745 | − | 11.0907i | −0.660433 | − | 0.394339i | ||||
\(792\) | −12.4619 | − | 24.4663i | −0.442816 | − | 0.869373i | ||||
\(793\) | 26.2942 | + | 15.1810i | 0.933736 | + | 0.539093i | ||||
\(794\) | 24.0124 | + | 29.6557i | 0.852168 | + | 1.05244i | ||||
\(795\) | 2.53557 | + | 9.07763i | 0.0899273 | + | 0.321950i | ||||
\(796\) | −9.52725 | + | 44.8018i | −0.337684 | + | 1.58796i | ||||
\(797\) | − | 24.2059i | − | 0.857418i | −0.903443 | − | 0.428709i | \(-0.858969\pi\) | ||
0.903443 | − | 0.428709i | \(-0.141031\pi\) | |||||||
\(798\) | −6.26730 | − | 7.97683i | −0.221860 | − | 0.282377i | ||||
\(799\) | 33.3692i | 1.18052i | ||||||||
\(800\) | −27.4677 | − | 6.74722i | −0.971130 | − | 0.238550i | ||||
\(801\) | −1.68688 | + | 0.973922i | −0.0596031 | + | 0.0344118i | ||||
\(802\) | −10.3899 | + | 8.41281i | −0.366881 | + | 0.297066i | ||||
\(803\) | 10.1486 | − | 17.5779i | 0.358137 | − | 0.620312i | ||||
\(804\) | −1.37820 | − | 4.24300i | −0.0486053 | − | 0.149639i | ||||
\(805\) | −39.9811 | − | 10.8888i | −1.40915 | − | 0.383779i | ||||
\(806\) | 11.3615 | − | 1.79895i | 0.400192 | − | 0.0633652i | ||||
\(807\) | 2.70246 | − | 4.68081i | 0.0951313 | − | 0.164772i | ||||
\(808\) | 18.5353 | − | 28.5331i | 0.652069 | − | 1.00379i | ||||
\(809\) | 7.22922 | + | 12.5214i | 0.254166 | + | 0.440228i | 0.964669 | − | 0.263466i | \(-0.0848657\pi\) |
−0.710503 | + | 0.703694i | \(0.751532\pi\) | |||||||
\(810\) | −11.8495 | − | 8.41995i | −0.416351 | − | 0.295847i | ||||
\(811\) | − | 30.5466i | − | 1.07264i | −0.844016 | − | 0.536318i | \(-0.819815\pi\) | ||
0.844016 | − | 0.536318i | \(-0.180185\pi\) | |||||||
\(812\) | −5.29353 | − | 17.1497i | −0.185767 | − | 0.601838i | ||||
\(813\) | 1.55325 | 0.0544749 | ||||||||
\(814\) | −8.79068 | − | 3.37489i | −0.308113 | − | 0.118290i | ||||
\(815\) | 16.9107 | − | 4.72351i | 0.592356 | − | 0.165457i | ||||
\(816\) | −13.4791 | − | 6.00428i | −0.471863 | − | 0.210192i | ||||
\(817\) | 1.69088 | − | 2.92869i | 0.0591564 | − | 0.102462i | ||||
\(818\) | 29.7957 | − | 4.71777i | 1.04178 | − | 0.164953i | ||||
\(819\) | 14.6364 | − | 8.16624i | 0.511436 | − | 0.285351i | ||||
\(820\) | 1.11603 | + | 17.7347i | 0.0389735 | + | 0.619323i | ||||
\(821\) | −4.87448 | − | 2.81428i | −0.170120 | − | 0.0982191i | 0.412522 | − | 0.910948i | \(-0.364648\pi\) |
−0.582643 | + | 0.812728i | \(0.697981\pi\) | |||||||
\(822\) | −11.9538 | − | 14.7631i | −0.416938 | − | 0.514924i | ||||
\(823\) | −0.359886 | − | 0.623340i | −0.0125448 | − | 0.0217283i | 0.859685 | − | 0.510825i | \(-0.170660\pi\) |
−0.872230 | + | 0.489097i | \(0.837327\pi\) | |||||||
\(824\) | 0.0226514 | − | 0.431070i | 0.000789100 | − | 0.0150170i | ||||
\(825\) | 12.3555 | + | 6.78906i | 0.430164 | + | 0.236365i | ||||
\(826\) | 16.4819 | − | 41.1168i | 0.573479 | − | 1.43064i | ||||
\(827\) | 54.5578i | 1.89716i | 0.316536 | + | 0.948580i | \(0.397480\pi\) | ||||
−0.316536 | + | 0.948580i | \(0.602520\pi\) | |||||||
\(828\) | −7.22851 | + | 33.9920i | −0.251208 | + | 1.18130i | ||||
\(829\) | 7.08127 | + | 12.2651i | 0.245943 | + | 0.425985i | 0.962396 | − | 0.271650i | \(-0.0875692\pi\) |
−0.716454 | + | 0.697635i | \(0.754236\pi\) | |||||||
\(830\) | 2.26121 | − | 1.03543i | 0.0784879 | − | 0.0359403i | ||||
\(831\) | −4.31283 | + | 7.47003i | −0.149610 | + | 0.259133i | ||||
\(832\) | −16.5235 | − | 12.0120i | −0.572850 | − | 0.416443i | ||||
\(833\) | 18.8222 | − | 30.4970i | 0.652150 | − | 1.05666i | ||||
\(834\) | 4.53870 | − | 0.718645i | 0.157162 | − | 0.0248846i | ||||
\(835\) | 28.2912 | + | 27.6989i | 0.979059 | + | 0.958560i | ||||
\(836\) | −19.7062 | + | 21.8819i | −0.681553 | + | 0.756800i | ||||
\(837\) | 6.28977 | + | 10.8942i | 0.217406 | + | 0.376559i | ||||
\(838\) | 13.7297 | − | 35.7620i | 0.474283 | − | 1.23538i | ||||
\(839\) | −56.3376 | −1.94499 | −0.972495 | − | 0.232923i | \(-0.925171\pi\) | ||||
−0.972495 | + | 0.232923i | \(0.925171\pi\) | |||||||
\(840\) | 11.4511 | + | 3.77443i | 0.395101 | + | 0.130230i | ||||
\(841\) | 17.4952 | 0.603282 | ||||||||
\(842\) | −5.50335 | + | 14.3347i | −0.189658 | + | 0.494007i | ||||
\(843\) | 1.10299 | + | 1.91043i | 0.0379888 | + | 0.0657986i | ||||
\(844\) | −5.65713 | − | 5.09465i | −0.194726 | − | 0.175365i | ||||
\(845\) | −10.1359 | + | 10.3527i | −0.348687 | + | 0.356144i | ||||
\(846\) | −22.5857 | + | 3.57615i | −0.776513 | + | 0.122951i | ||||
\(847\) | 5.55891 | + | 9.96325i | 0.191006 | + | 0.342341i | ||||
\(848\) | 18.9327 | − | 13.7500i | 0.650151 | − | 0.472179i | ||||
\(849\) | −7.45939 | + | 12.9200i | −0.256006 | + | 0.443415i | ||||
\(850\) | −35.6283 | + | 6.41673i | −1.22204 | + | 0.220092i | ||||
\(851\) | 5.95897 | + | 10.3212i | 0.204271 | + | 0.353808i | ||||
\(852\) | 17.3906 | + | 3.69817i | 0.595793 | + | 0.126697i | ||||
\(853\) | − | 17.4627i | − | 0.597912i | −0.954267 | − | 0.298956i | \(-0.903362\pi\) | ||
0.954267 | − | 0.298956i | \(-0.0966384\pi\) | |||||||
\(854\) | 6.31182 | + | 44.0389i | 0.215986 | + | 1.50698i | ||||
\(855\) | −5.18863 | + | 20.2174i | −0.177447 | + | 0.691419i | ||||
\(856\) | −0.237215 | + | 4.51433i | −0.00810783 | + | 0.154297i | ||||
\(857\) | 15.2887 | + | 26.4809i | 0.522253 | + | 0.904569i | 0.999665 | + | 0.0258890i | \(0.00824165\pi\) |
−0.477412 | + | 0.878680i | \(0.658425\pi\) | |||||||
\(858\) | 6.40750 | + | 7.91335i | 0.218748 | + | 0.270157i | ||||
\(859\) | −9.81716 | − | 5.66794i | −0.334957 | − | 0.193388i | 0.323083 | − | 0.946371i | \(-0.395281\pi\) |
−0.658040 | + | 0.752983i | \(0.728614\pi\) | |||||||
\(860\) | 0.252438 | + | 4.01145i | 0.00860806 | + | 0.136789i | ||||
\(861\) | 0.111189 | − | 7.57416i | 0.00378933 | − | 0.258127i | ||||
\(862\) | −2.32036 | + | 0.367399i | −0.0790319 | + | 0.0125137i | ||||
\(863\) | −23.1411 | + | 40.0815i | −0.787731 | + | 1.36439i | 0.139623 | + | 0.990205i | \(0.455411\pi\) |
−0.927354 | + | 0.374186i | \(0.877922\pi\) | |||||||
\(864\) | 5.78703 | − | 21.5775i | 0.196879 | − | 0.734081i | ||||
\(865\) | 9.22780 | − | 2.57751i | 0.313755 | − | 0.0876381i | ||||
\(866\) | 40.6199 | + | 15.5947i | 1.38032 | + | 0.529928i | ||||
\(867\) | −6.63704 | −0.225406 | ||||||||
\(868\) | 12.3579 | + | 11.4621i | 0.419455 | + | 0.389050i | ||||
\(869\) | 39.9744i | 1.35604i | ||||||||
\(870\) | 4.47669 | − | 6.30013i | 0.151774 | − | 0.213594i | ||||
\(871\) | −3.95249 | − | 6.84591i | −0.133925 | − | 0.231965i | ||||
\(872\) | 37.1688 | + | 24.1451i | 1.25870 | + | 0.817655i | ||||
\(873\) | −20.5077 | + | 35.5204i | −0.694080 | + | 1.20218i | ||||
\(874\) | 36.8123 | − | 5.82875i | 1.24520 | − | 0.197161i | ||||
\(875\) | 28.4377 | − | 8.14223i | 0.961371 | − | 0.275258i | ||||
\(876\) | 7.10938 | − | 2.30925i | 0.240204 | − | 0.0780223i | ||||
\(877\) | −6.36155 | + | 11.0185i | −0.214814 | + | 0.372069i | −0.953215 | − | 0.302293i | \(-0.902248\pi\) |
0.738401 | + | 0.674362i | \(0.235581\pi\) | |||||||
\(878\) | −11.7300 | + | 9.49785i | −0.395868 | + | 0.320537i | ||||
\(879\) | −19.0558 | + | 11.0019i | −0.642737 | + | 0.371084i | ||||
\(880\) | 5.11556 | − | 34.6238i | 0.172446 | − | 1.16717i | ||||
\(881\) | 12.0552i | 0.406152i | 0.979163 | + | 0.203076i | \(0.0650938\pi\) | ||||
−0.979163 | + | 0.203076i | \(0.934906\pi\) | |||||||
\(882\) | 22.6589 | + | 9.47133i | 0.762964 | + | 0.318916i | ||||
\(883\) | − | 3.49917i | − | 0.117757i | −0.998265 | − | 0.0588783i | \(-0.981248\pi\) | ||
0.998265 | − | 0.0588783i | \(-0.0187524\pi\) | |||||||
\(884\) | −25.5747 | − | 5.43854i | −0.860170 | − | 0.182918i | ||||
\(885\) | 18.3717 | − | 5.13158i | 0.617557 | − | 0.172496i | ||||
\(886\) | 10.7852 | + | 13.3199i | 0.362336 | + | 0.447491i | ||||
\(887\) | 41.9355 | + | 24.2115i | 1.40806 | + | 0.812941i | 0.995201 | − | 0.0978559i | \(-0.0311984\pi\) |
0.412855 | + | 0.910797i | \(0.364532\pi\) | |||||||
\(888\) | −1.57392 | − | 3.09005i | −0.0528172 | − | 0.103695i | ||||
\(889\) | 18.6714 | − | 31.2706i | 0.626218 | − | 1.04878i | ||||
\(890\) | −2.47191 | − | 0.233512i | −0.0828585 | − | 0.00782735i | ||||
\(891\) | 8.99387 | − | 15.5778i | 0.301306 | − | 0.521877i | ||||
\(892\) | 20.2836 | − | 22.5230i | 0.679144 | − | 0.754126i | ||||
\(893\) | 12.2623 | + | 21.2389i | 0.410341 | + | 0.710731i | ||||
\(894\) | −8.50675 | + | 22.1578i | −0.284508 | + | 0.741067i | ||||
\(895\) | 29.7288 | + | 7.62966i | 0.993723 | + | 0.255031i | ||||
\(896\) | −1.11795 | − | 29.9124i | −0.0373481 | − | 0.999302i | ||||
\(897\) | − | 12.8874i | − | 0.430297i | ||||||
\(898\) | −42.3140 | − | 16.2451i | −1.41204 | − | 0.542105i | ||||
\(899\) | 9.35677 | − | 5.40214i | 0.312066 | − | 0.180171i | ||||
\(900\) | −8.16139 | − | 23.4272i | −0.272046 | − | 0.780905i | ||||
\(901\) | 14.9744 | − | 25.9364i | 0.498868 | − | 0.864066i | ||||
\(902\) | −21.7183 | + | 3.43880i | −0.723139 | + | 0.114500i | ||||
\(903\) | 0.0251502 | − | 1.71322i | 0.000836946 | − | 0.0570122i | ||||
\(904\) | −20.6081 | + | 10.4967i | −0.685414 | + | 0.349116i | ||||
\(905\) | −14.7055 | + | 15.0200i | −0.488828 | + | 0.499281i | ||||
\(906\) | 6.38224 | + | 7.88216i | 0.212036 | + | 0.261867i | ||||
\(907\) | 22.7875 | − | 13.1563i | 0.756645 | − | 0.436849i | −0.0714447 | − | 0.997445i | \(-0.522761\pi\) |
0.828090 | + | 0.560595i | \(0.189428\pi\) | |||||||
\(908\) | −4.92784 | + | 23.1731i | −0.163536 | + | 0.769026i | ||||
\(909\) | 29.8432 | 0.989836 | ||||||||
\(910\) | 21.2380 | + | 2.32127i | 0.704031 | + | 0.0769493i | ||||
\(911\) | 33.1244i | 1.09746i | 0.836000 | + | 0.548730i | \(0.184889\pi\) | ||||
−0.836000 | + | 0.548730i | \(0.815111\pi\) | |||||||
\(912\) | −10.7856 | + | 1.13160i | −0.357148 | + | 0.0374709i | ||||
\(913\) | 1.53874 | + | 2.66518i | 0.0509250 | + | 0.0882047i | ||||
\(914\) | 5.96197 | + | 7.36311i | 0.197204 | + | 0.243550i | ||||
\(915\) | −13.4023 | + | 13.6889i | −0.443066 | + | 0.452541i | ||||
\(916\) | −0.922704 | + | 0.299710i | −0.0304870 | + | 0.00990270i | ||||
\(917\) | −21.6324 | + | 12.0696i | −0.714366 | + | 0.398574i | ||||
\(918\) | −4.47169 | − | 28.2416i | −0.147588 | − | 0.932112i | ||||
\(919\) | 13.7579 | + | 7.94310i | 0.453830 | + | 0.262019i | 0.709446 | − | 0.704759i | \(-0.248945\pi\) |
−0.255616 | + | 0.966778i | \(0.582278\pi\) | |||||||
\(920\) | −32.6088 | + | 29.9835i | −1.07508 | + | 0.988525i | ||||
\(921\) | −2.57766 | − | 4.46464i | −0.0849368 | − | 0.147115i | ||||
\(922\) | −20.4334 | − | 7.84474i | −0.672939 | − | 0.258353i | ||||
\(923\) | 31.5041 | 1.03697 | ||||||||
\(924\) | −3.31723 | + | 14.5464i | −0.109129 | + | 0.478540i | ||||
\(925\) | −7.45626 | − | 4.09703i | −0.245160 | − | 0.134710i | ||||
\(926\) | −19.6344 | − | 7.53800i | −0.645228 | − | 0.247714i | ||||
\(927\) | 0.327887 | − | 0.189306i | 0.0107692 | − | 0.00621762i | ||||
\(928\) | −18.5324 | − | 4.97034i | −0.608356 | − | 0.163159i | ||||
\(929\) | 11.4594 | + | 6.61609i | 0.375971 | + | 0.217067i | 0.676064 | − | 0.736843i | \(-0.263684\pi\) |
−0.300093 | + | 0.953910i | \(0.597018\pi\) | |||||||
\(930\) | −0.682604 | + | 7.22588i | −0.0223835 | + | 0.236946i | ||||
\(931\) | 0.773145 | − | 26.3274i | 0.0253388 | − | 0.862847i | ||||
\(932\) | 16.2781 | + | 50.1146i | 0.533206 | + | 1.64156i | ||||
\(933\) | −3.31940 | + | 5.74936i | −0.108672 | + | 0.188226i | ||||
\(934\) | −0.0974196 | + | 0.0788814i | −0.00318767 | + | 0.00258108i | ||||
\(935\) | −12.0514 | − | 43.1453i | −0.394122 | − | 1.41100i | ||||
\(936\) | 0.940220 | − | 17.8929i | 0.0307321 | − | 0.584849i | ||||
\(937\) | 11.6731 | 0.381345 | 0.190672 | − | 0.981654i | \(-0.438933\pi\) | ||||
0.190672 | + | 0.981654i | \(0.438933\pi\) | |||||||
\(938\) | 4.30977 | − | 10.7514i | 0.140719 | − | 0.351046i | ||||
\(939\) | 7.42756 | 0.242389 | ||||||||
\(940\) | −26.1089 | − | 12.9601i | −0.851580 | − | 0.422712i | ||||
\(941\) | −25.6649 | − | 44.4529i | −0.836652 | − | 1.44912i | −0.892679 | − | 0.450694i | \(-0.851177\pi\) |
0.0560269 | − | 0.998429i | \(-0.482157\pi\) | |||||||
\(942\) | −7.38753 | − | 9.12370i | −0.240699 | − | 0.297266i | ||||
\(943\) | 24.1021 | + | 13.9154i | 0.784874 | + | 0.453147i | ||||
\(944\) | −27.8279 | − | 38.3167i | −0.905721 | − | 1.24710i | ||||
\(945\) | 5.95442 | + | 22.5923i | 0.193697 | + | 0.734927i | ||||
\(946\) | −4.91250 | + | 0.777830i | −0.159719 | + | 0.0252894i | ||||
\(947\) | −16.0314 | − | 9.25574i | −0.520951 | − | 0.300771i | 0.216373 | − | 0.976311i | \(-0.430577\pi\) |
−0.737324 | + | 0.675540i | \(0.763911\pi\) | |||||||
\(948\) | −9.85173 | + | 10.9394i | −0.319969 | + | 0.355296i | ||||
\(949\) | 11.4707 | − | 6.62262i | 0.372355 | − | 0.214979i | ||||
\(950\) | −20.3188 | + | 17.1766i | −0.659229 | + | 0.557282i | ||||
\(951\) | 24.1050 | 0.781657 | ||||||||
\(952\) | −16.8856 | − | 34.3903i | −0.547266 | − | 1.11460i | ||||
\(953\) | 3.91838i | 0.126929i | 0.997984 | + | 0.0634643i | \(0.0202149\pi\) | ||||
−0.997984 | + | 0.0634643i | \(0.979785\pi\) | |||||||
\(954\) | 19.1597 | + | 7.35573i | 0.620317 | + | 0.238150i | ||||
\(955\) | 38.4559 | − | 10.7415i | 1.24440 | − | 0.347588i | ||||
\(956\) | −2.38775 | + | 2.65137i | −0.0772252 | + | 0.0857513i | ||||
\(957\) | 8.28237 | + | 4.78183i | 0.267731 | + | 0.154575i | ||||
\(958\) | 1.93268 | + | 12.2061i | 0.0624422 | + | 0.394362i | ||||
\(959\) | 0.723955 | − | 49.3154i | 0.0233777 | − | 1.59248i | ||||
\(960\) | 9.93302 | − | 8.21445i | 0.320587 | − | 0.265120i | ||||
\(961\) | 10.4268 | − | 18.0598i | 0.336349 | − | 0.582573i | ||||
\(962\) | −3.86677 | − | 4.77551i | −0.124670 | − | 0.153969i | ||||
\(963\) | −3.43377 | + | 1.98249i | −0.110652 | + | 0.0638847i | ||||
\(964\) | −16.4860 | − | 3.50581i | −0.530980 | − | 0.112915i | ||||
\(965\) | 12.7108 | − | 49.5273i | 0.409175 | − | 1.59434i | ||||
\(966\) | 14.8488 | − | 11.6665i | 0.477751 | − | 0.375363i | ||||
\(967\) | −25.1423 | −0.808522 | −0.404261 | − | 0.914644i | \(-0.632471\pi\) | ||||
−0.404261 | + | 0.914644i | \(0.632471\pi\) | |||||||
\(968\) | 12.1801 | + | 0.640026i | 0.391482 | + | 0.0205712i | ||||
\(969\) | −12.0209 | + | 6.94024i | −0.386165 | + | 0.222953i | ||||
\(970\) | −47.5355 | + | 21.7670i | −1.52627 | + | 0.698895i | ||||
\(971\) | −4.10368 | − | 2.36926i | −0.131693 | − | 0.0760332i | 0.432706 | − | 0.901535i | \(-0.357559\pi\) |
−0.564399 | + | 0.825502i | \(0.690892\pi\) | |||||||
\(972\) | 28.8366 | − | 9.36663i | 0.924934 | − | 0.300435i | ||||
\(973\) | 10.2439 | + | 6.11654i | 0.328404 | + | 0.196087i | ||||
\(974\) | −3.80700 | − | 24.0436i | −0.121984 | − | 0.770408i | ||||
\(975\) | 4.76742 | + | 7.86814i | 0.152680 | + | 0.251982i | ||||
\(976\) | 43.4452 | + | 19.3527i | 1.39065 | + | 0.619465i | ||||
\(977\) | 3.73355 | − | 2.15557i | 0.119447 | − | 0.0689628i | −0.439086 | − | 0.898445i | \(-0.644698\pi\) |
0.558533 | + | 0.829482i | \(0.311364\pi\) | |||||||
\(978\) | −2.86782 | + | 7.46988i | −0.0917027 | + | 0.238861i | ||||
\(979\) | − | 3.07242i | − | 0.0981950i | ||||||
\(980\) | 16.5514 | + | 26.5716i | 0.528716 | + | 0.848799i | ||||
\(981\) | 38.8754i | 1.24119i | ||||||||
\(982\) | 19.9159 | + | 7.64606i | 0.635542 | + | 0.243996i | ||||
\(983\) | −44.5474 | + | 25.7195i | −1.42084 | + | 0.820324i | −0.996371 | − | 0.0851174i | \(-0.972873\pi\) |
−0.424472 | + | 0.905441i | \(0.639540\pi\) | |||||||
\(984\) | −6.79093 | − | 4.41142i | −0.216487 | − | 0.140631i | ||||
\(985\) | 21.3824 | − | 21.8396i | 0.681299 | − | 0.695868i | ||||
\(986\) | −24.2561 | + | 3.84063i | −0.772471 | + | 0.122311i | ||||
\(987\) | 10.6685 | + | 6.37007i | 0.339583 | + | 0.202762i | ||||
\(988\) | −18.2763 | + | 5.93647i | −0.581448 | + | 0.188864i | ||||
\(989\) | 5.45172 | + | 3.14755i | 0.173355 | + | 0.100086i | ||||
\(990\) | 27.9111 | − | 12.7807i | 0.887073 | − | 0.406199i | ||||
\(991\) | −15.3827 | + | 8.88120i | −0.488647 | + | 0.282120i | −0.724013 | − | 0.689786i | \(-0.757704\pi\) |
0.235366 | + | 0.971907i | \(0.424371\pi\) | |||||||
\(992\) | 17.4061 | − | 4.65963i | 0.552644 | − | 0.147943i | ||||
\(993\) | 0.188619 | 0.00598565 | ||||||||
\(994\) | 28.5195 | + | 36.2988i | 0.904585 | + | 1.15133i | ||||
\(995\) | −49.6025 | − | 12.7301i | −1.57250 | − | 0.403571i | ||||
\(996\) | −0.235743 | + | 1.10858i | −0.00746982 | + | 0.0351267i | ||||
\(997\) | −24.1923 | + | 13.9674i | −0.766177 | + | 0.442353i | −0.831509 | − | 0.555511i | \(-0.812523\pi\) |
0.0653318 | + | 0.997864i | \(0.479189\pi\) | |||||||
\(998\) | 28.5256 | − | 23.0974i | 0.902961 | − | 0.731134i | ||||
\(999\) | 3.35987 | − | 5.81947i | 0.106302 | − | 0.184120i |
(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 | 280.2.ba.b.19.5 | ✓ | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.719.17 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.19.36 | yes | 80 | |
7.3 | odd | 6 | inner | 280.2.ba.b.59.31 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.19.10 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.719.18 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.719.23 | 80 | |||
28.3 | even | 6 | 1120.2.bq.b.1039.24 | 80 | |||
35.24 | odd | 6 | inner | 280.2.ba.b.59.10 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.19.31 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.719.24 | 80 | |||
56.3 | even | 6 | inner | 280.2.ba.b.59.36 | yes | 80 | |
56.45 | odd | 6 | 1120.2.bq.b.1039.23 | 80 | |||
140.59 | even | 6 | 1120.2.bq.b.1039.18 | 80 | |||
280.59 | even | 6 | inner | 280.2.ba.b.59.5 | yes | 80 | |
280.269 | odd | 6 | 1120.2.bq.b.1039.17 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.19.10 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.19.31 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.19.36 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.59.5 | yes | 80 | 280.59 | even | 6 | inner | |
280.2.ba.b.59.10 | yes | 80 | 35.24 | odd | 6 | inner | |
280.2.ba.b.59.31 | yes | 80 | 7.3 | odd | 6 | inner | |
280.2.ba.b.59.36 | yes | 80 | 56.3 | even | 6 | inner | |
1120.2.bq.b.719.17 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.719.18 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.719.23 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.719.24 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.1039.17 | 80 | 280.269 | odd | 6 | |||
1120.2.bq.b.1039.18 | 80 | 140.59 | even | 6 | |||
1120.2.bq.b.1039.23 | 80 | 56.45 | odd | 6 | |||
1120.2.bq.b.1039.24 | 80 | 28.3 | even | 6 |