Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(20,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bh (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 20.2 | ||
Character | \(\chi\) | \(=\) | 441.20 |
Dual form | 441.2.bh.a.419.2 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53439 | − | 2.25054i | −1.08498 | − | 1.59137i | −0.765099 | − | 0.643913i | \(-0.777310\pi\) |
−0.319879 | − | 0.947458i | \(-0.603642\pi\) | |||||||
\(3\) | 1.47003 | + | 0.915972i | 0.848724 | + | 0.528837i | ||||
\(4\) | −1.97989 | + | 5.04466i | −0.989943 | + | 2.52233i | ||||
\(5\) | −0.202216 | + | 0.187629i | −0.0904338 | + | 0.0839103i | −0.724094 | − | 0.689701i | \(-0.757742\pi\) |
0.633661 | + | 0.773611i | \(0.281552\pi\) | |||||||
\(6\) | −0.194174 | − | 4.71382i | −0.0792710 | − | 1.92441i | ||||
\(7\) | −1.68008 | − | 2.04385i | −0.635011 | − | 0.772503i | ||||
\(8\) | 9.08004 | − | 2.07246i | 3.21028 | − | 0.732726i | ||||
\(9\) | 1.32199 | + | 2.69302i | 0.440663 | + | 0.897673i | ||||
\(10\) | 0.732545 | + | 0.167199i | 0.231651 | + | 0.0528729i | ||||
\(11\) | 2.99294 | + | 4.38983i | 0.902404 | + | 1.32358i | 0.945876 | + | 0.324529i | \(0.105206\pi\) |
−0.0434713 | + | 0.999055i | \(0.513842\pi\) | |||||||
\(12\) | −7.53127 | + | 5.60230i | −2.17409 | + | 1.61724i | ||||
\(13\) | −3.60651 | + | 0.270270i | −1.00026 | + | 0.0749595i | −0.564784 | − | 0.825239i | \(-0.691041\pi\) |
−0.435481 | + | 0.900198i | \(0.643422\pi\) | |||||||
\(14\) | −2.02186 | + | 6.91715i | −0.540366 | + | 1.84869i | ||||
\(15\) | −0.469127 | + | 0.0905965i | −0.121128 | + | 0.0233919i | ||||
\(16\) | −10.6513 | − | 9.88293i | −2.66282 | − | 2.47073i | ||||
\(17\) | −1.30876 | + | 1.64113i | −0.317420 | + | 0.398033i | −0.914788 | − | 0.403935i | \(-0.867642\pi\) |
0.597367 | + | 0.801968i | \(0.296214\pi\) | |||||||
\(18\) | 4.03229 | − | 7.10733i | 0.950420 | − | 1.67521i | ||||
\(19\) | 2.97408i | 0.682302i | 0.940009 | + | 0.341151i | \(0.110817\pi\) | ||||
−0.940009 | + | 0.341151i | \(0.889183\pi\) | |||||||
\(20\) | −0.546161 | − | 1.39160i | −0.122125 | − | 0.311170i | ||||
\(21\) | −0.597663 | − | 4.54343i | −0.130421 | − | 0.991459i | ||||
\(22\) | 5.28715 | − | 13.4714i | 1.12722 | − | 2.87212i | ||||
\(23\) | 6.71819 | + | 2.63670i | 1.40084 | + | 0.549789i | 0.941059 | − | 0.338243i | \(-0.109832\pi\) |
0.459781 | + | 0.888032i | \(0.347928\pi\) | |||||||
\(24\) | 15.2463 | + | 5.27048i | 3.11213 | + | 1.07583i | ||||
\(25\) | −0.367964 | + | 4.91014i | −0.0735928 | + | 0.982027i | ||||
\(26\) | 6.14204 | + | 7.70188i | 1.20455 | + | 1.51046i | ||||
\(27\) | −0.523362 | + | 5.16973i | −0.100721 | + | 0.994915i | ||||
\(28\) | 13.6369 | − | 4.42886i | 2.57713 | − | 0.836975i | ||||
\(29\) | 1.00644 | − | 0.394997i | 0.186890 | − | 0.0733491i | −0.270050 | − | 0.962846i | \(-0.587040\pi\) |
0.456941 | + | 0.889497i | \(0.348945\pi\) | |||||||
\(30\) | 0.923716 | + | 0.916778i | 0.168647 | + | 0.167380i | ||||
\(31\) | 1.04205 | − | 0.601630i | 0.187158 | − | 0.108056i | −0.403493 | − | 0.914983i | \(-0.632204\pi\) |
0.590652 | + | 0.806927i | \(0.298871\pi\) | |||||||
\(32\) | −3.12248 | + | 20.7163i | −0.551982 | + | 3.66216i | ||||
\(33\) | 0.378749 | + | 9.19464i | 0.0659318 | + | 1.60058i | ||||
\(34\) | 5.70157 | + | 0.427274i | 0.977812 | + | 0.0732769i | ||||
\(35\) | 0.723225 | + | 0.0980674i | 0.122247 | + | 0.0165764i | ||||
\(36\) | −16.2028 | + | 1.33713i | −2.70046 | + | 0.222855i | ||||
\(37\) | 1.31792 | − | 1.65261i | 0.216664 | − | 0.271688i | −0.661608 | − | 0.749850i | \(-0.730126\pi\) |
0.878271 | + | 0.478162i | \(0.158697\pi\) | |||||||
\(38\) | 6.69329 | − | 4.56341i | 1.08580 | − | 0.740283i | ||||
\(39\) | −5.54924 | − | 2.90615i | −0.888590 | − | 0.465357i | ||||
\(40\) | −1.44728 | + | 2.12277i | −0.228835 | + | 0.335639i | ||||
\(41\) | 6.90047 | − | 6.40270i | 1.07767 | − | 0.999934i | 0.0776769 | − | 0.996979i | \(-0.475250\pi\) |
0.999996 | − | 0.00295535i | \(-0.000940718\pi\) | |||||||
\(42\) | −9.30813 | + | 8.31647i | −1.43628 | + | 1.28326i | ||||
\(43\) | 3.53924 | + | 3.28394i | 0.539729 | + | 0.500795i | 0.902269 | − | 0.431173i | \(-0.141900\pi\) |
−0.362540 | + | 0.931968i | \(0.618090\pi\) | |||||||
\(44\) | −28.0709 | + | 6.40700i | −4.23185 | + | 0.965892i | ||||
\(45\) | −0.772616 | − | 0.296528i | −0.115175 | − | 0.0442038i | ||||
\(46\) | −4.37435 | − | 19.1653i | −0.644963 | − | 2.82577i | ||||
\(47\) | 4.29581 | − | 2.92883i | 0.626608 | − | 0.427214i | −0.207946 | − | 0.978140i | \(-0.566678\pi\) |
0.834554 | + | 0.550926i | \(0.185725\pi\) | |||||||
\(48\) | −6.60521 | − | 24.2845i | −0.953380 | − | 3.50516i | ||||
\(49\) | −1.35465 | + | 6.86767i | −0.193522 | + | 0.981096i | ||||
\(50\) | 11.6150 | − | 6.70595i | 1.64262 | − | 0.948365i | ||||
\(51\) | −3.42715 | + | 1.21373i | −0.479897 | + | 0.169956i | ||||
\(52\) | 5.77704 | − | 18.7287i | 0.801132 | − | 2.59721i | ||||
\(53\) | 3.11854 | − | 2.48695i | 0.428365 | − | 0.341609i | −0.385455 | − | 0.922726i | \(-0.625956\pi\) |
0.813820 | + | 0.581117i | \(0.197384\pi\) | |||||||
\(54\) | 12.4377 | − | 6.75454i | 1.69256 | − | 0.919176i | ||||
\(55\) | −1.42888 | − | 0.326133i | −0.192670 | − | 0.0439757i | ||||
\(56\) | −19.4910 | − | 15.0764i | −2.60460 | − | 2.01466i | ||||
\(57\) | −2.72418 | + | 4.37200i | −0.360826 | + | 0.579086i | ||||
\(58\) | −2.43322 | − | 1.65894i | −0.319498 | − | 0.217830i | ||||
\(59\) | −8.91122 | + | 2.74875i | −1.16014 | + | 0.357857i | −0.814305 | − | 0.580438i | \(-0.802881\pi\) |
−0.345838 | + | 0.938294i | \(0.612405\pi\) | |||||||
\(60\) | 0.471789 | − | 2.54596i | 0.0609077 | − | 0.328682i | ||||
\(61\) | −9.05325 | + | 3.55314i | −1.15915 | + | 0.454933i | −0.865465 | − | 0.500970i | \(-0.832977\pi\) |
−0.293685 | + | 0.955902i | \(0.594882\pi\) | |||||||
\(62\) | −2.95291 | − | 1.42205i | −0.375020 | − | 0.180600i | ||||
\(63\) | 3.28308 | − | 7.22644i | 0.413629 | − | 0.910446i | ||||
\(64\) | 25.2317 | − | 12.1510i | 3.15397 | − | 1.51887i | ||||
\(65\) | 0.678583 | − | 0.731339i | 0.0841679 | − | 0.0907114i | ||||
\(66\) | 20.1117 | − | 14.9606i | 2.47558 | − | 1.84152i | ||||
\(67\) | 0.798141 | + | 1.38242i | 0.0975085 | + | 0.168890i | 0.910653 | − | 0.413173i | \(-0.135579\pi\) |
−0.813144 | + | 0.582062i | \(0.802246\pi\) | |||||||
\(68\) | −5.68776 | − | 9.85150i | −0.689743 | − | 1.19467i | ||||
\(69\) | 7.46082 | + | 10.0297i | 0.898177 | + | 1.20744i | ||||
\(70\) | −0.889006 | − | 1.77812i | −0.106257 | − | 0.212526i | ||||
\(71\) | −11.0720 | + | 8.82960i | −1.31400 | + | 1.04788i | −0.319027 | + | 0.947746i | \(0.603356\pi\) |
−0.994974 | + | 0.100135i | \(0.968073\pi\) | |||||||
\(72\) | 17.5849 | + | 21.7129i | 2.07240 | + | 2.55890i | ||||
\(73\) | −2.53899 | − | 5.27227i | −0.297167 | − | 0.617073i | 0.697910 | − | 0.716186i | \(-0.254114\pi\) |
−0.995076 | + | 0.0991132i | \(0.968399\pi\) | |||||||
\(74\) | −5.74147 | − | 0.430263i | −0.667432 | − | 0.0500171i | ||||
\(75\) | −5.03847 | + | 6.88101i | −0.581792 | + | 0.794551i | ||||
\(76\) | −15.0033 | − | 5.88835i | −1.72099 | − | 0.675440i | ||||
\(77\) | 3.94379 | − | 13.4924i | 0.449436 | − | 1.53760i | ||||
\(78\) | 1.97429 | + | 16.9480i | 0.223545 | + | 1.91898i | ||||
\(79\) | 0.141308 | − | 0.244752i | 0.0158984 | − | 0.0275368i | −0.857967 | − | 0.513705i | \(-0.828273\pi\) |
0.873865 | + | 0.486168i | \(0.161606\pi\) | |||||||
\(80\) | 4.00818 | 0.448128 | ||||||||
\(81\) | −5.50469 | + | 7.12028i | −0.611632 | + | 0.791142i | ||||
\(82\) | −24.9975 | − | 5.70553i | −2.76052 | − | 0.630070i | ||||
\(83\) | 0.618725 | − | 8.25632i | 0.0679139 | − | 0.906248i | −0.854353 | − | 0.519694i | \(-0.826046\pi\) |
0.922267 | − | 0.386555i | \(-0.126335\pi\) | |||||||
\(84\) | 24.1034 | + | 5.98047i | 2.62990 | + | 0.652523i | ||||
\(85\) | −0.0432720 | − | 0.577424i | −0.00469350 | − | 0.0626304i | ||||
\(86\) | 1.96004 | − | 13.0040i | 0.211357 | − | 1.40226i | ||||
\(87\) | 1.84130 | + | 0.341209i | 0.197408 | + | 0.0365815i | ||||
\(88\) | 36.2737 | + | 33.6571i | 3.86679 | + | 3.58786i | ||||
\(89\) | 10.9955 | − | 5.29513i | 1.16552 | − | 0.561283i | 0.251857 | − | 0.967764i | \(-0.418959\pi\) |
0.913659 | + | 0.406481i | \(0.133244\pi\) | |||||||
\(90\) | 0.518148 | + | 2.19379i | 0.0546176 | + | 0.231246i | ||||
\(91\) | 6.61161 | + | 6.91708i | 0.693086 | + | 0.725108i | ||||
\(92\) | −26.6025 | + | 28.6707i | −2.77350 | + | 2.98913i | ||||
\(93\) | 2.08293 | + | 0.0700768i | 0.215990 | + | 0.00726663i | ||||
\(94\) | −13.1829 | − | 5.17390i | −1.35971 | − | 0.533648i | ||||
\(95\) | −0.558025 | − | 0.601408i | −0.0572521 | − | 0.0617031i | ||||
\(96\) | −23.5657 | + | 27.5935i | −2.40516 | + | 2.81625i | ||||
\(97\) | 11.1993 | + | 6.46591i | 1.13711 | + | 0.656513i | 0.945714 | − | 0.324999i | \(-0.105364\pi\) |
0.191400 | + | 0.981512i | \(0.438697\pi\) | |||||||
\(98\) | 17.5345 | − | 7.48899i | 1.77125 | − | 0.756503i | ||||
\(99\) | −7.86526 | + | 13.8633i | −0.790489 | + | 1.39332i | ||||
\(100\) | −24.0415 | − | 11.5778i | −2.40415 | − | 1.15778i | ||||
\(101\) | 5.06940 | + | 1.56370i | 0.504424 | + | 0.155594i | 0.536515 | − | 0.843891i | \(-0.319740\pi\) |
−0.0320909 | + | 0.999485i | \(0.510217\pi\) | |||||||
\(102\) | 7.99013 | + | 5.85059i | 0.791140 | + | 0.579295i | ||||
\(103\) | −10.0595 | − | 10.8415i | −0.991188 | − | 1.06825i | −0.997667 | − | 0.0682675i | \(-0.978253\pi\) |
0.00647909 | − | 0.999979i | \(-0.497938\pi\) | |||||||
\(104\) | −32.1871 | + | 9.92841i | −3.15621 | + | 0.973560i | ||||
\(105\) | 0.973338 | + | 0.806617i | 0.0949880 | + | 0.0787177i | ||||
\(106\) | −10.3820 | − | 3.20244i | −1.00839 | − | 0.311048i | ||||
\(107\) | −3.94800 | − | 8.19811i | −0.381668 | − | 0.792542i | −0.999978 | − | 0.00660747i | \(-0.997897\pi\) |
0.618310 | − | 0.785934i | \(-0.287818\pi\) | |||||||
\(108\) | −25.0434 | − | 12.8757i | −2.40980 | − | 1.23896i | ||||
\(109\) | 0.0383532 | + | 0.0184699i | 0.00367357 | + | 0.00176910i | 0.435720 | − | 0.900082i | \(-0.356494\pi\) |
−0.432046 | + | 0.901852i | \(0.642208\pi\) | |||||||
\(110\) | 1.45849 | + | 3.71617i | 0.139061 | + | 0.354322i | ||||
\(111\) | 3.45113 | − | 1.22222i | 0.327566 | − | 0.116008i | ||||
\(112\) | −2.30425 | + | 38.3737i | −0.217731 | + | 3.62598i | ||||
\(113\) | −8.30235 | + | 12.1773i | −0.781020 | + | 1.14555i | 0.204975 | + | 0.978767i | \(0.434289\pi\) |
−0.985994 | + | 0.166778i | \(0.946664\pi\) | |||||||
\(114\) | 14.0193 | − | 0.577489i | 1.31303 | − | 0.0540868i | ||||
\(115\) | −1.85325 | + | 0.727346i | −0.172816 | + | 0.0678254i | ||||
\(116\) | 5.85918i | 0.544011i | ||||||||
\(117\) | −5.49561 | − | 9.35509i | −0.508069 | − | 0.864878i | ||||
\(118\) | 19.8595 | + | 15.8374i | 1.82821 | + | 1.45795i | ||||
\(119\) | 5.55305 | − | 0.0823264i | 0.509047 | − | 0.00754685i | ||||
\(120\) | −4.07194 | + | 1.79487i | −0.371715 | + | 0.163848i | ||||
\(121\) | −6.29420 | + | 16.0374i | −0.572200 | + | 1.45794i | ||||
\(122\) | 21.8877 | + | 14.9228i | 1.98162 | + | 1.35105i | ||||
\(123\) | 16.0086 | − | 3.09154i | 1.44345 | − | 0.278755i | ||||
\(124\) | 0.971875 | + | 6.44797i | 0.0872770 | + | 0.579045i | ||||
\(125\) | −1.70684 | − | 2.14031i | −0.152664 | − | 0.191435i | ||||
\(126\) | −21.3009 | + | 3.69949i | −1.89764 | + | 0.329577i | ||||
\(127\) | 5.38458 | − | 6.75205i | 0.477804 | − | 0.599147i | −0.483259 | − | 0.875478i | \(-0.660547\pi\) |
0.961063 | + | 0.276330i | \(0.0891184\pi\) | |||||||
\(128\) | −29.7746 | − | 17.1904i | −2.63173 | − | 1.51943i | ||||
\(129\) | 2.19480 | + | 8.06934i | 0.193242 | + | 0.710466i | ||||
\(130\) | −2.68712 | − | 0.405018i | −0.235676 | − | 0.0355224i | ||||
\(131\) | −1.20328 | + | 0.371162i | −0.105131 | + | 0.0324286i | −0.346874 | − | 0.937912i | \(-0.612757\pi\) |
0.241743 | + | 0.970340i | \(0.422281\pi\) | |||||||
\(132\) | −47.1338 | − | 16.2937i | −4.10247 | − | 1.41818i | ||||
\(133\) | 6.07859 | − | 4.99670i | 0.527080 | − | 0.433269i | ||||
\(134\) | 1.88653 | − | 3.91742i | 0.162972 | − | 0.338414i | ||||
\(135\) | −0.864159 | − | 1.14360i | −0.0743750 | − | 0.0984254i | ||||
\(136\) | −8.48240 | + | 17.6139i | −0.727360 | + | 1.51038i | ||||
\(137\) | −2.22645 | + | 2.39955i | −0.190219 | + | 0.205007i | −0.820959 | − | 0.570987i | \(-0.806561\pi\) |
0.630740 | + | 0.775994i | \(0.282751\pi\) | |||||||
\(138\) | 11.1244 | − | 32.1804i | 0.946974 | − | 2.73937i | ||||
\(139\) | −5.27836 | − | 5.68872i | −0.447705 | − | 0.482511i | 0.468362 | − | 0.883537i | \(-0.344844\pi\) |
−0.916067 | + | 0.401026i | \(0.868654\pi\) | |||||||
\(140\) | −1.92662 | + | 3.45427i | −0.162829 | + | 0.291939i | ||||
\(141\) | 8.99770 | − | 0.370637i | 0.757743 | − | 0.0312132i | ||||
\(142\) | 36.8601 | + | 11.3698i | 3.09323 | + | 0.954135i | ||||
\(143\) | −11.9805 | − | 15.0231i | −1.00186 | − | 1.25629i | ||||
\(144\) | 12.5340 | − | 41.7492i | 1.04450 | − | 3.47910i | ||||
\(145\) | −0.129405 | + | 0.268711i | −0.0107465 | + | 0.0223153i | ||||
\(146\) | −7.96964 | + | 13.8038i | −0.659572 | + | 1.14241i | ||||
\(147\) | −8.28198 | + | 8.85487i | −0.683086 | + | 0.730338i | ||||
\(148\) | 5.72756 | + | 9.92042i | 0.470803 | + | 0.815454i | ||||
\(149\) | 0.332842 | − | 0.0249430i | 0.0272674 | − | 0.00204341i | −0.0610894 | − | 0.998132i | \(-0.519457\pi\) |
0.0883568 | + | 0.996089i | \(0.471838\pi\) | |||||||
\(150\) | 23.2170 | + | 0.781098i | 1.89566 | + | 0.0637764i | ||||
\(151\) | 9.34030 | − | 1.40782i | 0.760103 | − | 0.114567i | 0.242457 | − | 0.970162i | \(-0.422047\pi\) |
0.517646 | + | 0.855595i | \(0.326808\pi\) | |||||||
\(152\) | 6.16367 | + | 27.0048i | 0.499940 | + | 2.19038i | ||||
\(153\) | −6.14976 | − | 1.35495i | −0.497178 | − | 0.109541i | ||||
\(154\) | −36.4165 | + | 11.8270i | −2.93452 | + | 0.953044i | ||||
\(155\) | −0.0978367 | + | 0.317179i | −0.00785844 | + | 0.0254764i | ||||
\(156\) | 25.6474 | − | 22.2402i | 2.05344 | − | 1.78064i | ||||
\(157\) | −6.25057 | − | 20.2638i | −0.498850 | − | 1.61723i | −0.758601 | − | 0.651555i | \(-0.774117\pi\) |
0.259752 | − | 0.965675i | \(-0.416359\pi\) | |||||||
\(158\) | −0.767646 | + | 0.0575271i | −0.0610706 | + | 0.00457661i | ||||
\(159\) | 6.86234 | − | 0.799405i | 0.544219 | − | 0.0633969i | ||||
\(160\) | −3.25557 | − | 4.77504i | −0.257375 | − | 0.377500i | ||||
\(161\) | −5.89810 | − | 18.1609i | −0.464835 | − | 1.43128i | ||||
\(162\) | 24.4708 | + | 1.46321i | 1.92261 | + | 0.114961i | ||||
\(163\) | 4.58699 | − | 20.0969i | 0.359281 | − | 1.57411i | −0.395709 | − | 0.918376i | \(-0.629501\pi\) |
0.754990 | − | 0.655737i | \(-0.227642\pi\) | |||||||
\(164\) | 18.6373 | + | 47.4872i | 1.45533 | + | 3.70813i | ||||
\(165\) | −1.80177 | − | 1.78824i | −0.140268 | − | 0.139214i | ||||
\(166\) | −19.5305 | + | 11.2760i | −1.51586 | + | 0.875184i | ||||
\(167\) | 16.9733 | + | 2.55831i | 1.31343 | + | 0.197968i | 0.768142 | − | 0.640279i | \(-0.221181\pi\) |
0.545290 | + | 0.838247i | \(0.316419\pi\) | |||||||
\(168\) | −14.8429 | − | 40.0160i | −1.14515 | − | 3.08730i | ||||
\(169\) | 0.0790376 | − | 0.0119130i | 0.00607982 | − | 0.000916385i | ||||
\(170\) | −1.23312 | + | 0.983380i | −0.0945759 | + | 0.0754218i | ||||
\(171\) | −8.00926 | + | 3.93171i | −0.612484 | + | 0.300665i | ||||
\(172\) | −23.5736 | + | 11.3525i | −1.79747 | + | 0.865618i | ||||
\(173\) | −4.94743 | + | 0.745704i | −0.376146 | + | 0.0566949i | −0.334395 | − | 0.942433i | \(-0.608532\pi\) |
−0.0417512 | + | 0.999128i | \(0.513294\pi\) | |||||||
\(174\) | −2.05737 | − | 4.66746i | −0.155969 | − | 0.353839i | ||||
\(175\) | 10.6538 | − | 7.49736i | 0.805351 | − | 0.566747i | ||||
\(176\) | 11.5058 | − | 76.3362i | 0.867285 | − | 5.75406i | ||||
\(177\) | −15.6176 | − | 4.12169i | −1.17389 | − | 0.309805i | ||||
\(178\) | −28.7882 | − | 16.6209i | −2.15777 | − | 1.24579i | ||||
\(179\) | −0.191219 | − | 0.152492i | −0.0142924 | − | 0.0113978i | 0.616318 | − | 0.787498i | \(-0.288624\pi\) |
−0.630610 | + | 0.776100i | \(0.717195\pi\) | |||||||
\(180\) | 3.02557 | − | 3.31050i | 0.225513 | − | 0.246750i | ||||
\(181\) | 3.40660 | + | 7.07388i | 0.253211 | + | 0.525798i | 0.988365 | − | 0.152103i | \(-0.0486044\pi\) |
−0.735154 | + | 0.677900i | \(0.762890\pi\) | |||||||
\(182\) | 5.42236 | − | 25.4932i | 0.401932 | − | 1.88968i | ||||
\(183\) | −16.5631 | − | 3.06930i | −1.22438 | − | 0.226889i | ||||
\(184\) | 66.4660 | + | 10.0181i | 4.89993 | + | 0.738546i | ||||
\(185\) | 0.0435747 | + | 0.581464i | 0.00320368 | + | 0.0427501i | ||||
\(186\) | −3.03832 | − | 4.79524i | −0.222780 | − | 0.351604i | ||||
\(187\) | −11.1213 | − | 0.833427i | −0.813271 | − | 0.0609463i | ||||
\(188\) | 6.26977 | + | 27.4697i | 0.457270 | + | 2.00343i | ||||
\(189\) | 11.4454 | − | 7.61589i | 0.832534 | − | 0.553974i | ||||
\(190\) | −0.497263 | + | 2.17865i | −0.0360752 | + | 0.158056i | ||||
\(191\) | 0.924680 | − | 2.99774i | 0.0669075 | − | 0.216909i | −0.915945 | − | 0.401305i | \(-0.868557\pi\) |
0.982852 | + | 0.184396i | \(0.0590330\pi\) | |||||||
\(192\) | 48.2214 | + | 5.24926i | 3.48008 | + | 0.378833i | ||||
\(193\) | −7.57273 | + | 7.02646i | −0.545097 | + | 0.505776i | −0.903962 | − | 0.427614i | \(-0.859354\pi\) |
0.358865 | + | 0.933390i | \(0.383164\pi\) | |||||||
\(194\) | −2.63230 | − | 35.1256i | −0.188988 | − | 2.52187i | ||||
\(195\) | 1.66742 | − | 0.453528i | 0.119407 | − | 0.0324778i | ||||
\(196\) | −31.9630 | − | 20.4310i | −2.28307 | − | 1.45936i | ||||
\(197\) | − | 1.98483i | − | 0.141414i | −0.997497 | − | 0.0707068i | \(-0.977475\pi\) | ||
0.997497 | − | 0.0707068i | \(-0.0225255\pi\) | |||||||
\(198\) | 43.2684 | − | 3.57071i | 3.07495 | − | 0.253760i | ||||
\(199\) | −7.37074 | + | 1.68232i | −0.522498 | + | 0.119257i | −0.475632 | − | 0.879644i | \(-0.657781\pi\) |
−0.0468662 | + | 0.998901i | \(0.514923\pi\) | |||||||
\(200\) | 6.83494 | + | 45.3468i | 0.483303 | + | 3.20651i | ||||
\(201\) | −0.0929661 | + | 2.76328i | −0.00655733 | + | 0.194907i | ||||
\(202\) | −4.25927 | − | 13.8082i | −0.299681 | − | 0.971542i | ||||
\(203\) | −2.49821 | − | 1.39338i | −0.175340 | − | 0.0977960i | ||||
\(204\) | 0.662501 | − | 19.6918i | 0.0463843 | − | 1.37871i | ||||
\(205\) | −0.194053 | + | 2.58946i | −0.0135533 | + | 0.180856i | ||||
\(206\) | −8.96411 | + | 39.2743i | −0.624559 | + | 2.73637i | ||||
\(207\) | 1.78071 | + | 21.5779i | 0.123768 | + | 1.49977i | ||||
\(208\) | 41.0849 | + | 32.7641i | 2.84873 | + | 2.27178i | ||||
\(209\) | −13.0557 | + | 8.90125i | −0.903084 | + | 0.615712i | ||||
\(210\) | 0.321841 | − | 3.42820i | 0.0222092 | − | 0.236568i | ||||
\(211\) | −18.9325 | − | 12.9079i | −1.30336 | − | 0.888619i | −0.305389 | − | 0.952228i | \(-0.598787\pi\) |
−0.997975 | + | 0.0636090i | \(0.979739\pi\) | |||||||
\(212\) | 6.37149 | + | 20.6559i | 0.437596 | + | 1.41865i | ||||
\(213\) | −24.3638 | + | 2.83818i | −1.66938 | + | 0.194469i | ||||
\(214\) | −12.3924 | + | 21.4642i | −0.847126 | + | 1.46727i | ||||
\(215\) | −1.33185 | −0.0908317 | ||||||||
\(216\) | 5.96191 | + | 48.0260i | 0.405656 | + | 3.26776i | ||||
\(217\) | −2.98038 | − | 1.11902i | −0.202321 | − | 0.0759637i | ||||
\(218\) | −0.0172815 | − | 0.114655i | −0.00117045 | − | 0.00776544i | ||||
\(219\) | 1.09685 | − | 10.0761i | 0.0741185 | − | 0.680877i | ||||
\(220\) | 4.47425 | − | 6.56252i | 0.301654 | − | 0.442445i | ||||
\(221\) | 4.27649 | − | 6.27247i | 0.287668 | − | 0.421932i | ||||
\(222\) | −8.04603 | − | 5.89153i | −0.540014 | − | 0.395413i | ||||
\(223\) | 3.74997 | + | 24.8794i | 0.251116 | + | 1.66605i | 0.658341 | + | 0.752720i | \(0.271259\pi\) |
−0.407224 | + | 0.913328i | \(0.633503\pi\) | |||||||
\(224\) | 47.5871 | − | 28.4232i | 3.17954 | − | 1.89910i | ||||
\(225\) | −13.7095 | + | 5.50022i | −0.913968 | + | 0.366681i | ||||
\(226\) | 40.1446 | 2.67038 | ||||||||
\(227\) | 10.9691 | − | 18.9990i | 0.728042 | − | 1.26101i | −0.229667 | − | 0.973269i | \(-0.573764\pi\) |
0.957710 | − | 0.287737i | \(-0.0929028\pi\) | |||||||
\(228\) | −16.6617 | − | 22.3986i | −1.10345 | − | 1.48339i | ||||
\(229\) | −0.424460 | − | 1.37606i | −0.0280491 | − | 0.0909329i | 0.940466 | − | 0.339888i | \(-0.110389\pi\) |
−0.968515 | + | 0.248955i | \(0.919913\pi\) | |||||||
\(230\) | 4.48053 | + | 3.05477i | 0.295437 | + | 0.201426i | ||||
\(231\) | 18.1561 | − | 16.2219i | 1.19459 | − | 1.06732i | ||||
\(232\) | 8.31987 | − | 5.67239i | 0.546226 | − | 0.372411i | ||||
\(233\) | 11.0160 | + | 8.78495i | 0.721681 | + | 0.575522i | 0.913953 | − | 0.405820i | \(-0.133014\pi\) |
−0.192272 | + | 0.981342i | \(0.561586\pi\) | |||||||
\(234\) | −12.6216 | + | 26.7224i | −0.825098 | + | 1.74690i | ||||
\(235\) | −0.319147 | + | 1.39828i | −0.0208189 | + | 0.0912134i | ||||
\(236\) | 3.77668 | − | 50.3963i | 0.245841 | − | 3.28052i | ||||
\(237\) | 0.431913 | − | 0.230360i | 0.0280558 | − | 0.0149635i | ||||
\(238\) | −8.70582 | − | 12.3710i | −0.564315 | − | 0.801894i | ||||
\(239\) | −1.30403 | − | 4.22756i | −0.0843506 | − | 0.273458i | 0.903565 | − | 0.428451i | \(-0.140941\pi\) |
−0.987916 | + | 0.154993i | \(0.950464\pi\) | |||||||
\(240\) | 5.89216 | + | 3.67138i | 0.380337 | + | 0.236987i | ||||
\(241\) | 0.846583 | + | 5.61671i | 0.0545332 | + | 0.361804i | 0.999409 | + | 0.0343751i | \(0.0109441\pi\) |
−0.944876 | + | 0.327429i | \(0.893818\pi\) | |||||||
\(242\) | 45.7505 | − | 10.4422i | 2.94095 | − | 0.671253i | ||||
\(243\) | −14.6140 | + | 5.42490i | −0.937492 | + | 0.348008i | ||||
\(244\) | − | 52.7054i | − | 3.37412i | ||||||
\(245\) | −1.01464 | − | 1.64293i | −0.0648231 | − | 0.104963i | ||||
\(246\) | −31.5211 | − | 31.2844i | −2.00971 | − | 1.99462i | ||||
\(247\) | −0.803807 | − | 10.7261i | −0.0511450 | − | 0.682482i | ||||
\(248\) | 8.21504 | − | 7.62244i | 0.521655 | − | 0.484026i | ||||
\(249\) | 8.47210 | − | 11.5703i | 0.536898 | − | 0.733239i | ||||
\(250\) | −2.19789 | + | 7.12538i | −0.139007 | + | 0.450649i | ||||
\(251\) | 4.13377 | − | 18.1112i | 0.260921 | − | 1.14317i | −0.659334 | − | 0.751850i | \(-0.729162\pi\) |
0.920255 | − | 0.391320i | \(-0.127981\pi\) | |||||||
\(252\) | 29.9548 | + | 30.8695i | 1.88698 | + | 1.94460i | ||||
\(253\) | 8.53247 | + | 37.3832i | 0.536432 | + | 2.35026i | ||||
\(254\) | −23.4578 | − | 1.75792i | −1.47187 | − | 0.110302i | ||||
\(255\) | 0.465293 | − | 0.888468i | 0.0291378 | − | 0.0556380i | ||||
\(256\) | 2.81263 | + | 37.5319i | 0.175789 | + | 2.34575i | ||||
\(257\) | 16.4438 | + | 2.47851i | 1.02574 | + | 0.154605i | 0.640297 | − | 0.768128i | \(-0.278811\pi\) |
0.385440 | + | 0.922733i | \(0.374050\pi\) | |||||||
\(258\) | 14.7927 | − | 17.3210i | 0.920951 | − | 1.07836i | ||||
\(259\) | −5.59190 | + | 0.0829024i | −0.347464 | + | 0.00515130i | ||||
\(260\) | 2.34584 | + | 4.87119i | 0.145483 | + | 0.302098i | ||||
\(261\) | 2.39423 | + | 2.18817i | 0.148199 | + | 0.135444i | ||||
\(262\) | 2.68162 | + | 2.13852i | 0.165671 | + | 0.132118i | ||||
\(263\) | 13.9341 | + | 8.04487i | 0.859215 | + | 0.496068i | 0.863749 | − | 0.503922i | \(-0.168110\pi\) |
−0.00453424 | + | 0.999990i | \(0.501443\pi\) | |||||||
\(264\) | 22.4946 | + | 82.7028i | 1.38445 | + | 5.09001i | ||||
\(265\) | −0.163994 | + | 1.08803i | −0.0100741 | + | 0.0668372i | ||||
\(266\) | −20.5722 | − | 6.01319i | −1.26136 | − | 0.368693i | ||||
\(267\) | 21.0139 | + | 2.28752i | 1.28603 | + | 0.139994i | ||||
\(268\) | −8.55408 | + | 1.28932i | −0.522524 | + | 0.0787578i | ||||
\(269\) | 22.6960 | − | 10.9298i | 1.38380 | − | 0.666402i | 0.413993 | − | 0.910280i | \(-0.364134\pi\) |
0.969806 | + | 0.243878i | \(0.0784196\pi\) | |||||||
\(270\) | −1.24776 | + | 3.69955i | −0.0759361 | + | 0.225148i | ||||
\(271\) | 8.81854 | − | 7.03255i | 0.535688 | − | 0.427197i | −0.317916 | − | 0.948119i | \(-0.602983\pi\) |
0.853604 | + | 0.520922i | \(0.174412\pi\) | |||||||
\(272\) | 30.1591 | − | 4.54575i | 1.82866 | − | 0.275627i | ||||
\(273\) | 3.38343 | + | 16.2244i | 0.204774 | + | 0.981945i | ||||
\(274\) | 8.81653 | + | 1.32888i | 0.532626 | + | 0.0802804i | ||||
\(275\) | −22.6560 | + | 13.0804i | −1.36621 | + | 0.788779i | ||||
\(276\) | −65.3681 | + | 17.7797i | −3.93470 | + | 1.07021i | ||||
\(277\) | −10.2251 | − | 26.0531i | −0.614365 | − | 1.56538i | −0.811092 | − | 0.584919i | \(-0.801126\pi\) |
0.196727 | − | 0.980458i | \(-0.436969\pi\) | |||||||
\(278\) | −4.70361 | + | 20.6079i | −0.282104 | + | 1.23598i | ||||
\(279\) | 2.99778 | + | 2.01092i | 0.179473 | + | 0.120391i | ||||
\(280\) | 6.77016 | − | 0.608400i | 0.404594 | − | 0.0363588i | ||||
\(281\) | 0.0100297 | + | 0.0147108i | 0.000598321 | + | 0.000877575i | 0.826538 | − | 0.562881i | \(-0.190307\pi\) |
−0.825939 | + | 0.563759i | \(0.809355\pi\) | |||||||
\(282\) | −14.6401 | − | 19.6810i | −0.871807 | − | 1.17198i | ||||
\(283\) | 13.7148 | − | 1.02778i | 0.815258 | − | 0.0610952i | 0.339428 | − | 0.940632i | \(-0.389767\pi\) |
0.475831 | + | 0.879537i | \(0.342148\pi\) | |||||||
\(284\) | −22.6211 | − | 73.3359i | −1.34232 | − | 4.35169i | ||||
\(285\) | −0.269442 | − | 1.39522i | −0.0159604 | − | 0.0826460i | ||||
\(286\) | −15.4272 | + | 50.0138i | −0.912230 | + | 2.95738i | ||||
\(287\) | −24.6795 | − | 3.34648i | −1.45679 | − | 0.197536i | ||||
\(288\) | −59.9173 | + | 18.9778i | −3.53066 | + | 1.11828i | ||||
\(289\) | 2.80239 | + | 12.2781i | 0.164847 | + | 0.722241i | ||||
\(290\) | 0.803303 | − | 0.121078i | 0.0471716 | − | 0.00710997i | ||||
\(291\) | 10.5407 | + | 19.7633i | 0.617907 | + | 1.15855i | ||||
\(292\) | 31.6238 | − | 2.36987i | 1.85064 | − | 0.138686i | ||||
\(293\) | 7.32103 | + | 12.6804i | 0.427699 | + | 0.740797i | 0.996668 | − | 0.0815621i | \(-0.0259909\pi\) |
−0.568969 | + | 0.822359i | \(0.692658\pi\) | |||||||
\(294\) | 32.6360 | + | 5.05208i | 1.90337 | + | 0.294643i | ||||
\(295\) | 1.28625 | − | 2.22785i | 0.0748882 | − | 0.129710i | ||||
\(296\) | 8.54175 | − | 17.7371i | 0.496479 | − | 1.03095i | ||||
\(297\) | −24.2606 | + | 13.1752i | −1.40774 | + | 0.764503i | ||||
\(298\) | −0.566844 | − | 0.710800i | −0.0328364 | − | 0.0411756i | ||||
\(299\) | −24.9418 | − | 7.69354i | −1.44242 | − | 0.444929i | ||||
\(300\) | −24.7368 | − | 39.0410i | −1.42818 | − | 2.25403i | ||||
\(301\) | 0.765663 | − | 12.7510i | 0.0441321 | − | 0.734953i | ||||
\(302\) | −17.5000 | − | 18.8606i | −1.00701 | − | 1.08530i | ||||
\(303\) | 6.01987 | + | 6.94212i | 0.345833 | + | 0.398815i | ||||
\(304\) | 29.3927 | − | 31.6778i | 1.68579 | − | 1.81684i | ||||
\(305\) | 1.16404 | − | 2.41716i | 0.0666528 | − | 0.138406i | ||||
\(306\) | 6.38677 | + | 15.9193i | 0.365107 | + | 0.910045i | ||||
\(307\) | 0.734650 | − | 1.52552i | 0.0419287 | − | 0.0870658i | −0.878952 | − | 0.476910i | \(-0.841757\pi\) |
0.920881 | + | 0.389844i | \(0.127471\pi\) | |||||||
\(308\) | 60.2563 | + | 46.6085i | 3.43342 | + | 2.65576i | ||||
\(309\) | −4.85720 | − | 25.1516i | −0.276316 | − | 1.43082i | ||||
\(310\) | 0.863943 | − | 0.266491i | 0.0490687 | − | 0.0151357i | ||||
\(311\) | −28.7867 | − | 4.33890i | −1.63235 | − | 0.246037i | −0.732030 | − | 0.681273i | \(-0.761427\pi\) |
−0.900316 | + | 0.435236i | \(0.856665\pi\) | |||||||
\(312\) | −56.4102 | − | 14.8874i | −3.19360 | − | 0.842834i | ||||
\(313\) | 9.84851 | + | 5.68604i | 0.556671 | + | 0.321394i | 0.751808 | − | 0.659382i | \(-0.229182\pi\) |
−0.195137 | + | 0.980776i | \(0.562515\pi\) | |||||||
\(314\) | −36.0137 | + | 45.1598i | −2.03237 | + | 2.54851i | ||||
\(315\) | 0.691999 | + | 2.07730i | 0.0389897 | + | 0.117043i | ||||
\(316\) | 0.954920 | + | 1.19743i | 0.0537185 | + | 0.0673608i | ||||
\(317\) | 1.51172 | + | 10.0296i | 0.0849067 | + | 0.563319i | 0.990322 | + | 0.138791i | \(0.0443218\pi\) |
−0.905415 | + | 0.424528i | \(0.860440\pi\) | |||||||
\(318\) | −12.3286 | − | 14.2174i | −0.691353 | − | 0.797269i | ||||
\(319\) | 4.74617 | + | 3.23588i | 0.265734 | + | 0.181175i | ||||
\(320\) | −2.82239 | + | 7.19133i | −0.157776 | + | 0.402007i | ||||
\(321\) | 1.70555 | − | 15.6678i | 0.0951947 | − | 0.874489i | ||||
\(322\) | −31.8217 | + | 41.1397i | −1.77335 | + | 2.29263i | ||||
\(323\) | −4.88086 | − | 3.89236i | −0.271578 | − | 0.216577i | ||||
\(324\) | −25.0208 | − | 41.8666i | −1.39004 | − | 2.32592i | ||||
\(325\) | − | 17.8079i | − | 0.987804i | ||||||
\(326\) | −52.2672 | + | 20.5133i | −2.89481 | + | 1.13613i | ||||
\(327\) | 0.0394625 | + | 0.0622818i | 0.00218228 | + | 0.00344419i | ||||
\(328\) | 49.3872 | − | 72.4378i | 2.72695 | − | 3.99971i | ||||
\(329\) | −13.2034 | − | 3.85931i | −0.727927 | − | 0.212771i | ||||
\(330\) | −1.25988 | + | 6.79882i | −0.0693542 | + | 0.374263i | ||||
\(331\) | −12.6697 | − | 32.2819i | −0.696390 | − | 1.77437i | −0.630021 | − | 0.776578i | \(-0.716954\pi\) |
−0.0663694 | − | 0.997795i | \(-0.521142\pi\) | |||||||
\(332\) | 40.4253 | + | 19.4678i | 2.21863 | + | 1.06844i | ||||
\(333\) | 6.19279 | + | 1.36443i | 0.339363 | + | 0.0747704i | ||||
\(334\) | −20.2861 | − | 42.1245i | −1.11001 | − | 2.30495i | ||||
\(335\) | −0.420780 | − | 0.129793i | −0.0229896 | − | 0.00709137i | ||||
\(336\) | −38.5366 | + | 54.3000i | −2.10234 | + | 2.96231i | ||||
\(337\) | 7.38430 | − | 2.27776i | 0.402249 | − | 0.124077i | −0.0870281 | − | 0.996206i | \(-0.527737\pi\) |
0.489277 | + | 0.872129i | \(0.337261\pi\) | |||||||
\(338\) | −0.148085 | − | 0.159598i | −0.00805478 | − | 0.00868098i | ||||
\(339\) | −23.3588 | + | 10.2963i | −1.26868 | + | 0.559219i | ||||
\(340\) | 2.99858 | + | 0.924941i | 0.162621 | + | 0.0501620i | ||||
\(341\) | 5.75986 | + | 2.77380i | 0.311914 | + | 0.150210i | ||||
\(342\) | 21.1378 | + | 11.9924i | 1.14300 | + | 0.648473i | ||||
\(343\) | 16.3124 | − | 8.76953i | 0.880788 | − | 0.473510i | ||||
\(344\) | 38.9423 | + | 22.4833i | 2.09963 | + | 1.21222i | ||||
\(345\) | −3.39056 | − | 0.628301i | −0.182542 | − | 0.0338266i | ||||
\(346\) | 9.26952 | + | 9.99017i | 0.498333 | + | 0.537075i | ||||
\(347\) | 19.2427 | + | 7.55222i | 1.03300 | + | 0.405424i | 0.820446 | − | 0.571724i | \(-0.193725\pi\) |
0.212558 | + | 0.977148i | \(0.431821\pi\) | |||||||
\(348\) | −5.36685 | + | 8.61318i | −0.287693 | + | 0.461715i | ||||
\(349\) | 1.97491 | − | 2.12845i | 0.105714 | − | 0.113933i | −0.677978 | − | 0.735082i | \(-0.737143\pi\) |
0.783692 | + | 0.621149i | \(0.213334\pi\) | |||||||
\(350\) | −33.2202 | − | 12.4729i | −1.77569 | − | 0.666704i | ||||
\(351\) | 0.490285 | − | 18.7861i | 0.0261695 | − | 1.00273i | ||||
\(352\) | −100.286 | + | 48.2954i | −5.34529 | + | 2.57415i | ||||
\(353\) | 3.76327 | + | 3.49181i | 0.200299 | + | 0.185850i | 0.773945 | − | 0.633253i | \(-0.218281\pi\) |
−0.573646 | + | 0.819104i | \(0.694471\pi\) | |||||||
\(354\) | 14.6874 | + | 41.4722i | 0.780629 | + | 2.20422i | ||||
\(355\) | 0.582240 | − | 3.86291i | 0.0309021 | − | 0.205022i | ||||
\(356\) | 4.94243 | + | 65.9522i | 0.261948 | + | 3.49546i | ||||
\(357\) | 8.23857 | + | 4.96541i | 0.436031 | + | 0.262798i | ||||
\(358\) | −0.0497846 | + | 0.664329i | −0.00263120 | + | 0.0351109i | ||||
\(359\) | 4.34856 | + | 0.992531i | 0.229508 | + | 0.0523838i | 0.335728 | − | 0.941959i | \(-0.391018\pi\) |
−0.106220 | + | 0.994343i | \(0.533875\pi\) | |||||||
\(360\) | −7.62993 | − | 1.09127i | −0.402133 | − | 0.0575149i | ||||
\(361\) | 10.1548 | 0.534464 | ||||||||
\(362\) | 10.6930 | − | 18.5208i | 0.562011 | − | 0.973431i | ||||
\(363\) | −23.9425 | + | 17.8101i | −1.25665 | + | 0.934789i | ||||
\(364\) | −47.9846 | + | 19.6583i | −2.51508 | + | 1.03038i | ||||
\(365\) | 1.50266 | + | 0.589749i | 0.0786526 | + | 0.0308689i | ||||
\(366\) | 18.5068 | + | 41.9855i | 0.967364 | + | 2.19462i | ||||
\(367\) | −9.93723 | − | 0.744692i | −0.518719 | − | 0.0388726i | −0.187201 | − | 0.982322i | \(-0.559942\pi\) |
−0.331518 | + | 0.943449i | \(0.607561\pi\) | |||||||
\(368\) | −45.4990 | − | 94.4796i | −2.37180 | − | 4.92509i | ||||
\(369\) | 26.3649 | + | 10.1188i | 1.37250 | + | 0.526763i | ||||
\(370\) | 1.24175 | − | 0.990260i | 0.0645554 | − | 0.0514812i | ||||
\(371\) | −10.3224 | − | 2.19555i | −0.535910 | − | 0.113987i | ||||
\(372\) | −4.47747 | + | 10.3689i | −0.232146 | + | 0.537604i | ||||
\(373\) | 2.97336 | + | 5.15001i | 0.153955 | + | 0.266658i | 0.932678 | − | 0.360710i | \(-0.117466\pi\) |
−0.778723 | + | 0.627368i | \(0.784132\pi\) | |||||||
\(374\) | 15.1888 | + | 26.3078i | 0.785394 | + | 1.36034i | ||||
\(375\) | −0.548646 | − | 4.70974i | −0.0283319 | − | 0.243210i | ||||
\(376\) | 32.9362 | − | 35.4968i | 1.69856 | − | 1.83061i | ||||
\(377\) | −3.52296 | + | 1.69657i | −0.181442 | + | 0.0873777i | ||||
\(378\) | −34.7016 | − | 14.0727i | −1.78486 | − | 0.723820i | ||||
\(379\) | 10.6024 | + | 5.10587i | 0.544611 | + | 0.262271i | 0.685898 | − | 0.727698i | \(-0.259410\pi\) |
−0.141287 | + | 0.989969i | \(0.545124\pi\) | |||||||
\(380\) | 4.13873 | − | 1.62433i | 0.212312 | − | 0.0833264i | ||||
\(381\) | 14.1002 | − | 4.99360i | 0.722375 | − | 0.255830i | ||||
\(382\) | −8.16535 | + | 2.51868i | −0.417775 | + | 0.128867i | ||||
\(383\) | −21.8282 | − | 14.8822i | −1.11537 | − | 0.760446i | −0.142040 | − | 0.989861i | \(-0.545366\pi\) |
−0.973329 | + | 0.229415i | \(0.926319\pi\) | |||||||
\(384\) | −28.0237 | − | 52.5431i | −1.43008 | − | 2.68133i | ||||
\(385\) | 1.73407 | + | 3.46835i | 0.0883763 | + | 0.176763i | ||||
\(386\) | 27.4328 | + | 6.26137i | 1.39630 | + | 0.318695i | ||||
\(387\) | −4.16486 | + | 13.8726i | −0.211712 | + | 0.705182i | ||||
\(388\) | −54.7916 | + | 43.6948i | −2.78162 | + | 2.21827i | ||||
\(389\) | −3.13547 | + | 10.1649i | −0.158975 | + | 0.515383i | −0.999658 | − | 0.0261435i | \(-0.991677\pi\) |
0.840683 | + | 0.541527i | \(0.182154\pi\) | |||||||
\(390\) | −3.57916 | − | 3.05671i | −0.181238 | − | 0.154783i | ||||
\(391\) | −13.1197 | + | 7.57464i | −0.663489 | + | 0.383066i | ||||
\(392\) | 1.93266 | + | 65.1662i | 0.0976141 | + | 3.29139i | ||||
\(393\) | −2.10883 | − | 0.556549i | −0.106377 | − | 0.0280742i | ||||
\(394\) | −4.46695 | + | 3.04551i | −0.225041 | + | 0.153431i | ||||
\(395\) | 0.0173480 | + | 0.0760063i | 0.000872870 | + | 0.00382429i | ||||
\(396\) | −54.3636 | − | 67.1254i | −2.73187 | − | 3.37318i | ||||
\(397\) | 24.2097 | − | 5.52571i | 1.21505 | − | 0.277328i | 0.433492 | − | 0.901158i | \(-0.357281\pi\) |
0.781560 | + | 0.623830i | \(0.214424\pi\) | |||||||
\(398\) | 15.0957 | + | 14.0068i | 0.756681 | + | 0.702097i | ||||
\(399\) | 13.5126 | − | 1.77750i | 0.676474 | − | 0.0889863i | ||||
\(400\) | 52.4458 | − | 48.6626i | 2.62229 | − | 2.43313i | ||||
\(401\) | 10.9635 | − | 16.0806i | 0.547493 | − | 0.803025i | −0.448374 | − | 0.893846i | \(-0.647997\pi\) |
0.995867 | + | 0.0908212i | \(0.0289492\pi\) | |||||||
\(402\) | 6.36151 | − | 4.03073i | 0.317283 | − | 0.201034i | ||||
\(403\) | −3.59557 | + | 2.45142i | −0.179108 | + | 0.122114i | ||||
\(404\) | −17.9252 | + | 22.4775i | −0.891811 | + | 1.11830i | ||||
\(405\) | −0.222836 | − | 2.47268i | −0.0110728 | − | 0.122868i | ||||
\(406\) | 0.697379 | + | 7.76030i | 0.0346103 | + | 0.385137i | ||||
\(407\) | 11.1991 | + | 0.839259i | 0.555120 | + | 0.0416005i | ||||
\(408\) | −28.6032 | + | 18.1233i | −1.41607 | + | 0.897239i | ||||
\(409\) | −3.65576 | + | 24.2544i | −0.180766 | + | 1.19930i | 0.695877 | + | 0.718161i | \(0.255016\pi\) |
−0.876643 | + | 0.481142i | \(0.840222\pi\) | |||||||
\(410\) | 6.12543 | − | 3.53652i | 0.302513 | − | 0.174656i | ||||
\(411\) | −5.47088 | + | 1.48804i | −0.269859 | + | 0.0733997i | ||||
\(412\) | 74.6084 | − | 29.2816i | 3.67569 | − | 1.44260i | ||||
\(413\) | 20.5896 | + | 13.5951i | 1.01315 | + | 0.668971i | ||||
\(414\) | 45.8296 | − | 37.1165i | 2.25240 | − | 1.82418i | ||||
\(415\) | 1.42401 | + | 1.78565i | 0.0699019 | + | 0.0876542i | ||||
\(416\) | 5.66224 | − | 75.5574i | 0.277614 | − | 3.70451i | ||||
\(417\) | −2.54865 | − | 13.1974i | −0.124808 | − | 0.646281i | ||||
\(418\) | 40.0652 | + | 15.7244i | 1.95965 | + | 0.769107i | ||||
\(419\) | −2.23929 | + | 5.70562i | −0.109396 | + | 0.278738i | −0.975080 | − | 0.221854i | \(-0.928789\pi\) |
0.865683 | + | 0.500592i | \(0.166884\pi\) | |||||||
\(420\) | −5.99621 | + | 3.31315i | −0.292585 | + | 0.161665i | ||||
\(421\) | 6.33556 | + | 16.1427i | 0.308776 | + | 0.786749i | 0.998060 | + | 0.0622576i | \(0.0198300\pi\) |
−0.689284 | + | 0.724491i | \(0.742075\pi\) | |||||||
\(422\) | 62.4140i | 3.03827i | ||||||||
\(423\) | 13.5664 | + | 7.69680i | 0.659621 | + | 0.374231i | ||||
\(424\) | 23.1624 | − | 29.0447i | 1.12486 | − | 1.41054i | ||||
\(425\) | −7.57660 | − | 7.03006i | −0.367519 | − | 0.341008i | ||||
\(426\) | 43.7711 | + | 50.4768i | 2.12071 | + | 2.44561i | ||||
\(427\) | 22.4723 | + | 12.5339i | 1.08751 | + | 0.606559i | ||||
\(428\) | 49.1733 | − | 3.68503i | 2.37688 | − | 0.178123i | ||||
\(429\) | −3.85100 | − | 33.0582i | −0.185928 | − | 1.59606i | ||||
\(430\) | 2.04358 | + | 2.99739i | 0.0985504 | + | 0.144547i | ||||
\(431\) | 26.3995 | + | 6.02552i | 1.27162 | + | 0.290239i | 0.804499 | − | 0.593954i | \(-0.202434\pi\) |
0.467121 | + | 0.884193i | \(0.345291\pi\) | |||||||
\(432\) | 56.6665 | − | 49.8918i | 2.72637 | − | 2.40042i | ||||
\(433\) | −9.05254 | + | 2.06618i | −0.435037 | + | 0.0992944i | −0.434430 | − | 0.900705i | \(-0.643050\pi\) |
−0.000606833 | 1.00000i | \(0.500193\pi\) | ||||||||
\(434\) | 2.05468 | + | 8.42446i | 0.0986277 | + | 0.404387i | ||||
\(435\) | −0.436361 | + | 0.276483i | −0.0209219 | + | 0.0132564i | ||||
\(436\) | −0.169109 | + | 0.156911i | −0.00809887 | + | 0.00751465i | ||||
\(437\) | −7.84176 | + | 19.9805i | −0.375122 | + | 0.955796i | ||||
\(438\) | −24.3596 | + | 12.9921i | −1.16394 | + | 0.620786i | ||||
\(439\) | 1.76275 | + | 2.58548i | 0.0841315 | + | 0.123398i | 0.865998 | − | 0.500048i | \(-0.166684\pi\) |
−0.781866 | + | 0.623446i | \(0.785732\pi\) | |||||||
\(440\) | −13.6502 | −0.650747 | ||||||||
\(441\) | −20.2856 | + | 5.43088i | −0.965981 | + | 0.258613i | ||||
\(442\) | −20.6782 | −0.983564 | ||||||||
\(443\) | −6.98743 | − | 10.2487i | −0.331983 | − | 0.486930i | 0.623562 | − | 0.781774i | \(-0.285685\pi\) |
−0.955545 | + | 0.294844i | \(0.904732\pi\) | |||||||
\(444\) | −0.667136 | + | 19.8296i | −0.0316609 | + | 0.941073i | ||||
\(445\) | −1.22994 | + | 3.13383i | −0.0583046 | + | 0.148558i | ||||
\(446\) | 50.2381 | − | 46.6142i | 2.37885 | − | 2.20725i | ||||
\(447\) | 0.512135 | + | 0.268207i | 0.0242231 | + | 0.0126857i | ||||
\(448\) | −67.2261 | − | 31.1553i | −3.17614 | − | 1.47195i | ||||
\(449\) | 27.1279 | − | 6.19177i | 1.28025 | − | 0.292208i | 0.472286 | − | 0.881445i | \(-0.343429\pi\) |
0.807960 | + | 0.589238i | \(0.200572\pi\) | |||||||
\(450\) | 33.4142 | + | 22.4143i | 1.57516 | + | 1.05662i | ||||
\(451\) | 48.7595 | + | 11.1290i | 2.29599 | + | 0.524045i | ||||
\(452\) | −44.9928 | − | 65.9923i | −2.11628 | − | 3.10402i | ||||
\(453\) | 15.0201 | + | 6.48591i | 0.705705 | + | 0.304735i | ||||
\(454\) | −59.5887 | + | 4.46556i | −2.79664 | + | 0.209579i | ||||
\(455\) | −2.63482 | − | 0.158214i | −0.123522 | − | 0.00741721i | ||||
\(456\) | −15.6749 | + | 45.3437i | −0.734043 | + | 2.12341i | ||||
\(457\) | 3.21654 | + | 2.98452i | 0.150464 | + | 0.139610i | 0.751813 | − | 0.659376i | \(-0.229180\pi\) |
−0.601349 | + | 0.798986i | \(0.705370\pi\) | |||||||
\(458\) | −2.44560 | + | 3.06668i | −0.114275 | + | 0.143297i | ||||
\(459\) | −7.79925 | − | 7.62483i | −0.364038 | − | 0.355897i | ||||
\(460\) | − | 10.7891i | − | 0.503043i | ||||||
\(461\) | −7.49813 | − | 19.1049i | −0.349223 | − | 0.889805i | −0.992283 | − | 0.123990i | \(-0.960431\pi\) |
0.643061 | − | 0.765815i | \(-0.277664\pi\) | |||||||
\(462\) | −64.3665 | − | 15.9704i | −2.99460 | − | 0.743012i | ||||
\(463\) | −8.59620 | + | 21.9028i | −0.399499 | + | 1.01791i | 0.579668 | + | 0.814853i | \(0.303182\pi\) |
−0.979167 | + | 0.203055i | \(0.934913\pi\) | |||||||
\(464\) | −14.6235 | − | 5.73932i | −0.678881 | − | 0.266441i | ||||
\(465\) | −0.434350 | + | 0.376647i | −0.0201425 | + | 0.0174666i | ||||
\(466\) | 2.86805 | − | 38.2715i | 0.132860 | − | 1.77289i | ||||
\(467\) | −8.21483 | − | 10.3011i | −0.380137 | − | 0.476677i | 0.554549 | − | 0.832151i | \(-0.312891\pi\) |
−0.934686 | + | 0.355474i | \(0.884319\pi\) | |||||||
\(468\) | 58.0740 | − | 9.20149i | 2.68447 | − | 0.425339i | ||||
\(469\) | 1.48452 | − | 3.95386i | 0.0685488 | − | 0.182572i | ||||
\(470\) | 3.63657 | − | 1.42725i | 0.167742 | − | 0.0658340i | ||||
\(471\) | 9.37258 | − | 35.5138i | 0.431866 | − | 1.63639i | ||||
\(472\) | −75.2176 | + | 43.4269i | −3.46217 | + | 1.99889i | ||||
\(473\) | −3.82320 | + | 25.3653i | −0.175791 | + | 1.16630i | ||||
\(474\) | −1.18116 | − | 0.618576i | −0.0542524 | − | 0.0284121i | ||||
\(475\) | −14.6032 | − | 1.09436i | −0.670039 | − | 0.0502125i | ||||
\(476\) | −10.5791 | + | 28.1763i | −0.484892 | + | 1.29146i | ||||
\(477\) | 10.8201 | + | 5.11056i | 0.495418 | + | 0.233996i | ||||
\(478\) | −7.51339 | + | 9.42149i | −0.343654 | + | 0.430929i | ||||
\(479\) | 4.38426 | − | 2.98914i | 0.200322 | − | 0.136577i | −0.459005 | − | 0.888434i | \(-0.651794\pi\) |
0.659327 | + | 0.751857i | \(0.270841\pi\) | |||||||
\(480\) | −0.411984 | − | 10.0015i | −0.0188044 | − | 0.456503i | ||||
\(481\) | −4.30642 | + | 6.31635i | −0.196356 | + | 0.288001i | ||||
\(482\) | 11.3416 | − | 10.5235i | 0.516597 | − | 0.479332i | ||||
\(483\) | 7.96445 | − | 32.0995i | 0.362395 | − | 1.46058i | ||||
\(484\) | −68.4413 | − | 63.5043i | −3.11097 | − | 2.88656i | ||||
\(485\) | −3.47787 | + | 0.793800i | −0.157922 | + | 0.0360446i | ||||
\(486\) | 34.6326 | + | 24.5656i | 1.57097 | + | 1.11432i | ||||
\(487\) | −4.12247 | − | 18.0617i | −0.186807 | − | 0.818455i | −0.978286 | − | 0.207259i | \(-0.933546\pi\) |
0.791479 | − | 0.611196i | \(-0.209311\pi\) | |||||||
\(488\) | −74.8402 | + | 51.0252i | −3.38785 | + | 2.30980i | ||||
\(489\) | 25.1513 | − | 25.3416i | 1.13738 | − | 1.14599i | ||||
\(490\) | −2.14061 | + | 4.80438i | −0.0967029 | + | 0.217040i | ||||
\(491\) | 0.142377 | − | 0.0822012i | 0.00642537 | − | 0.00370969i | −0.496784 | − | 0.867874i | \(-0.665486\pi\) |
0.503209 | + | 0.864165i | \(0.332152\pi\) | |||||||
\(492\) | −16.0994 | + | 86.8790i | −0.725819 | + | 3.91681i | ||||
\(493\) | −0.668939 | + | 2.16865i | −0.0301275 | + | 0.0976710i | ||||
\(494\) | −22.9060 | + | 18.2670i | −1.03059 | + | 0.821869i | ||||
\(495\) | −1.01068 | − | 4.27914i | −0.0454269 | − | 0.192333i | ||||
\(496\) | −17.0451 | − | 3.89042i | −0.765346 | − | 0.174685i | ||||
\(497\) | 36.6482 | + | 7.79501i | 1.64390 | + | 0.349654i | ||||
\(498\) | −39.0390 | − | 1.31340i | −1.74938 | − | 0.0588550i | ||||
\(499\) | −3.01490 | − | 2.05553i | −0.134966 | − | 0.0920180i | 0.493955 | − | 0.869487i | \(-0.335551\pi\) |
−0.628921 | + | 0.777469i | \(0.716503\pi\) | |||||||
\(500\) | 14.1765 | − | 4.37287i | 0.633992 | − | 0.195561i | ||||
\(501\) | 22.6079 | + | 19.3079i | 1.01005 | + | 0.862612i | ||||
\(502\) | −47.1028 | + | 18.4865i | −2.10230 | + | 0.825093i | ||||
\(503\) | −32.6586 | − | 15.7276i | −1.45617 | − | 0.701257i | −0.472520 | − | 0.881320i | \(-0.656656\pi\) |
−0.983655 | + | 0.180063i | \(0.942370\pi\) | |||||||
\(504\) | 14.8340 | − | 72.4204i | 0.660758 | − | 3.22586i | ||||
\(505\) | −1.31851 | + | 0.634961i | −0.0586730 | + | 0.0282554i | ||||
\(506\) | 71.0402 | − | 76.5631i | 3.15812 | − | 3.40365i | ||||
\(507\) | 0.127100 | + | 0.0548838i | 0.00564470 | + | 0.00243747i | ||||
\(508\) | 23.4010 | + | 40.5317i | 1.03825 | + | 1.79830i | ||||
\(509\) | 10.3897 | + | 17.9955i | 0.460516 | + | 0.797637i | 0.998987 | − | 0.0450075i | \(-0.0143312\pi\) |
−0.538471 | + | 0.842644i | \(0.680998\pi\) | |||||||
\(510\) | −2.71347 | + | 0.316097i | −0.120155 | + | 0.0139970i | ||||
\(511\) | −6.51002 | + | 14.0472i | −0.287987 | + | 0.621410i | ||||
\(512\) | 26.3915 | − | 21.0466i | 1.16635 | − | 0.930135i | ||||
\(513\) | −15.3752 | − | 1.55652i | −0.678832 | − | 0.0687222i | ||||
\(514\) | −19.6533 | − | 40.8104i | −0.866869 | − | 1.80007i | ||||
\(515\) | 4.06837 | + | 0.304882i | 0.179274 | + | 0.0134347i | ||||
\(516\) | −45.0526 | − | 4.90431i | −1.98333 | − | 0.215900i | ||||
\(517\) | 25.7142 | + | 10.0921i | 1.13091 | + | 0.443848i | ||||
\(518\) | 8.76674 | + | 12.4576i | 0.385188 | + | 0.547355i | ||||
\(519\) | −7.95592 | − | 3.43549i | −0.349226 | − | 0.150801i | ||||
\(520\) | 4.64589 | − | 8.04692i | 0.203736 | − | 0.352881i | ||||
\(521\) | 42.0022 | 1.84015 | 0.920076 | − | 0.391740i | \(-0.128127\pi\) | ||||
0.920076 | + | 0.391740i | \(0.128127\pi\) | |||||||
\(522\) | 1.25087 | − | 8.74581i | 0.0547490 | − | 0.382794i | ||||
\(523\) | −31.6246 | − | 7.21811i | −1.38285 | − | 0.315626i | −0.534546 | − | 0.845139i | \(-0.679518\pi\) |
−0.848302 | + | 0.529513i | \(0.822375\pi\) | |||||||
\(524\) | 0.509964 | − | 6.80500i | 0.0222779 | − | 0.297278i | ||||
\(525\) | 22.5288 | − | 1.26279i | 0.983237 | − | 0.0551125i | ||||
\(526\) | −3.27511 | − | 43.7033i | −0.142801 | − | 1.90555i | ||||
\(527\) | −0.376443 | + | 2.49753i | −0.0163981 | + | 0.108794i | ||||
\(528\) | 86.8358 | − | 101.678i | 3.77904 | − | 4.42495i | ||||
\(529\) | 21.3218 | + | 19.7837i | 0.927034 | + | 0.860161i | ||||
\(530\) | 2.70029 | − | 1.30039i | 0.117293 | − | 0.0564853i | ||||
\(531\) | −19.1830 | − | 20.3643i | −0.832470 | − | 0.883734i | ||||
\(532\) | 13.1718 | + | 40.5573i | 0.571070 | + | 1.75838i | ||||
\(533\) | −23.1561 | + | 24.9564i | −1.00300 | + | 1.08098i | ||||
\(534\) | −27.0954 | − | 50.8025i | −1.17253 | − | 2.19844i | ||||
\(535\) | 2.33655 | + | 0.917030i | 0.101018 | + | 0.0396467i | ||||
\(536\) | 10.1122 | + | 10.8983i | 0.436779 | + | 0.470736i | ||||
\(537\) | −0.141420 | − | 0.399320i | −0.00610271 | − | 0.0172319i | ||||
\(538\) | −59.4225 | − | 34.3076i | −2.56189 | − | 1.47911i | ||||
\(539\) | −34.2023 | + | 14.6078i | −1.47320 | + | 0.629203i | ||||
\(540\) | 7.48002 | − | 2.09520i | 0.321889 | − | 0.0901629i | ||||
\(541\) | 23.3825 | + | 11.2604i | 1.00529 | + | 0.484122i | 0.862731 | − | 0.505664i | \(-0.168752\pi\) |
0.142560 | + | 0.989786i | \(0.454467\pi\) | |||||||
\(542\) | −29.3581 | − | 9.05578i | −1.26104 | − | 0.388979i | ||||
\(543\) | −1.47167 | + | 13.5192i | −0.0631552 | + | 0.580164i | ||||
\(544\) | −29.9116 | − | 32.2370i | −1.28245 | − | 1.38215i | ||||
\(545\) | −0.0112211 | + | 0.00346126i | −0.000480660 | + | 0.000148264i | ||||
\(546\) | 31.3221 | − | 32.5091i | 1.34046 | − | 1.39126i | ||||
\(547\) | 29.1142 | + | 8.98053i | 1.24483 | + | 0.383980i | 0.846068 | − | 0.533074i | \(-0.178963\pi\) |
0.398763 | + | 0.917054i | \(0.369440\pi\) | |||||||
\(548\) | −7.69679 | − | 15.9825i | −0.328790 | − | 0.682740i | ||||
\(549\) | −21.5370 | − | 19.6833i | −0.919175 | − | 0.840065i | ||||
\(550\) | 64.2011 | + | 30.9176i | 2.73754 | + | 1.31833i | ||||
\(551\) | 1.17475 | + | 2.99323i | 0.0500462 | + | 0.127516i | ||||
\(552\) | 88.5308 | + | 75.6079i | 3.76812 | + | 3.21809i | ||||
\(553\) | −0.737646 | + | 0.122392i | −0.0313679 | + | 0.00520462i | ||||
\(554\) | −42.9442 | + | 62.9875i | −1.82452 | + | 2.67608i | ||||
\(555\) | −0.468549 | + | 0.894685i | −0.0198888 | + | 0.0379772i | ||||
\(556\) | 39.1482 | − | 15.3645i | 1.66025 | − | 0.651602i | ||||
\(557\) | − | 17.3412i | − | 0.734772i | −0.930069 | − | 0.367386i | \(-0.880253\pi\) | ||
0.930069 | − | 0.367386i | \(-0.119747\pi\) | |||||||
\(558\) | −0.0741201 | − | 9.83217i | −0.00313775 | − | 0.416229i | ||||
\(559\) | −13.6518 | − | 10.8870i | −0.577411 | − | 0.460470i | ||||
\(560\) | −6.73407 | − | 8.19213i | −0.284567 | − | 0.346181i | ||||
\(561\) | −15.5853 | − | 11.4120i | −0.658012 | − | 0.481814i | ||||
\(562\) | 0.0177179 | − | 0.0451444i | 0.000747383 | − | 0.00190430i | ||||
\(563\) | −8.63055 | − | 5.88421i | −0.363734 | − | 0.247990i | 0.367637 | − | 0.929969i | \(-0.380167\pi\) |
−0.731371 | + | 0.681979i | \(0.761119\pi\) | |||||||
\(564\) | −15.9447 | + | 46.1242i | −0.671392 | + | 1.94218i | ||||
\(565\) | −0.605950 | − | 4.02021i | −0.0254925 | − | 0.169132i | ||||
\(566\) | −23.3569 | − | 29.2886i | −0.981763 | − | 1.23109i | ||||
\(567\) | 23.8011 | − | 0.711892i | 0.999553 | − | 0.0298967i | ||||
\(568\) | −82.2349 | + | 103.119i | −3.45050 | + | 4.32679i | ||||
\(569\) | 20.7003 | + | 11.9513i | 0.867801 | + | 0.501025i | 0.866617 | − | 0.498974i | \(-0.166290\pi\) |
0.00118441 | + | 0.999999i | \(0.499623\pi\) | |||||||
\(570\) | −2.72658 | + | 2.74721i | −0.114204 | + | 0.115068i | ||||
\(571\) | 18.5534 | + | 2.79648i | 0.776437 | + | 0.117029i | 0.525294 | − | 0.850921i | \(-0.323955\pi\) |
0.251143 | + | 0.967950i | \(0.419193\pi\) | |||||||
\(572\) | 99.5062 | − | 30.6936i | 4.16057 | − | 1.28336i | ||||
\(573\) | 4.10515 | − | 3.55979i | 0.171495 | − | 0.148712i | ||||
\(574\) | 30.3367 | + | 60.6770i | 1.26623 | + | 2.53261i | ||||
\(575\) | −15.4186 | + | 32.0170i | −0.643000 | + | 1.33520i | ||||
\(576\) | 66.0788 | + | 51.8861i | 2.75329 | + | 2.16192i | ||||
\(577\) | 9.88102 | − | 20.5182i | 0.411352 | − | 0.854182i | −0.587632 | − | 0.809128i | \(-0.699940\pi\) |
0.998985 | − | 0.0450537i | \(-0.0143459\pi\) | |||||||
\(578\) | 23.3323 | − | 25.1463i | 0.970498 | − | 1.04595i | ||||
\(579\) | −17.5682 | + | 3.39272i | −0.730109 | + | 0.140997i | ||||
\(580\) | −1.09935 | − | 1.18482i | −0.0456481 | − | 0.0491970i | ||||
\(581\) | −17.9142 | + | 12.6067i | −0.743206 | + | 0.523014i | ||||
\(582\) | 28.3045 | − | 54.0469i | 1.17326 | − | 2.24032i | ||||
\(583\) | 20.2509 | + | 6.24658i | 0.838707 | + | 0.258707i | ||||
\(584\) | −33.9807 | − | 42.6105i | −1.40613 | − | 1.76323i | ||||
\(585\) | 2.86659 | + | 0.860614i | 0.118519 | + | 0.0355820i | ||||
\(586\) | 17.3044 | − | 35.9330i | 0.714838 | − | 1.48438i | ||||
\(587\) | 2.64388 | − | 4.57934i | 0.109125 | − | 0.189009i | −0.806291 | − | 0.591519i | \(-0.798529\pi\) |
0.915416 | + | 0.402509i | \(0.131862\pi\) | |||||||
\(588\) | −28.2725 | − | 59.3115i | −1.16594 | − | 2.44596i | ||||
\(589\) | 1.78930 | + | 3.09916i | 0.0737268 | + | 0.127698i | ||||
\(590\) | −6.98746 | + | 0.523638i | −0.287669 | + | 0.0215578i | ||||
\(591\) | 1.81805 | − | 2.91777i | 0.0747847 | − | 0.120021i | ||||
\(592\) | −30.3701 | + | 4.57756i | −1.24820 | + | 0.188137i | ||||
\(593\) | −8.16709 | − | 35.7824i | −0.335382 | − | 1.46941i | −0.808547 | − | 0.588432i | \(-0.799745\pi\) |
0.473164 | − | 0.880974i | \(-0.343112\pi\) | |||||||
\(594\) | 66.8766 | + | 34.3836i | 2.74398 | + | 1.41077i | ||||
\(595\) | −1.10747 | + | 1.05856i | −0.0454018 | + | 0.0433968i | ||||
\(596\) | −0.533159 | + | 1.72846i | −0.0218390 | + | 0.0708004i | ||||
\(597\) | −12.3762 | − | 4.27833i | −0.506524 | − | 0.175100i | ||||
\(598\) | 20.9559 | + | 67.9374i | 0.856951 | + | 2.77817i | ||||
\(599\) | −5.61489 | + | 0.420778i | −0.229418 | + | 0.0171925i | −0.188943 | − | 0.981988i | \(-0.560506\pi\) |
−0.0404751 | + | 0.999181i | \(0.512887\pi\) | |||||||
\(600\) | −31.4889 | + | 72.9219i | −1.28553 | + | 2.97703i | ||||
\(601\) | 7.46542 | + | 10.9498i | 0.304521 | + | 0.446650i | 0.947745 | − | 0.319027i | \(-0.103356\pi\) |
−0.643225 | + | 0.765678i | \(0.722404\pi\) | |||||||
\(602\) | −29.8713 | + | 17.8418i | −1.21747 | + | 0.727178i | ||||
\(603\) | −2.66775 | + | 3.97696i | −0.108639 | + | 0.161954i | ||||
\(604\) | −11.3907 | + | 49.9060i | −0.463482 | + | 2.03065i | ||||
\(605\) | −1.73629 | − | 4.42399i | −0.0705901 | − | 0.179861i | ||||
\(606\) | 6.38668 | − | 24.1999i | 0.259441 | − | 0.983053i | ||||
\(607\) | −13.2755 | + | 7.66462i | −0.538836 | + | 0.311097i | −0.744607 | − | 0.667503i | \(-0.767363\pi\) |
0.205771 | + | 0.978600i | \(0.434030\pi\) | |||||||
\(608\) | −61.6120 | − | 9.28652i | −2.49870 | − | 0.376618i | ||||
\(609\) | −2.39615 | − | 4.33660i | −0.0970970 | − | 0.175728i | ||||
\(610\) | −7.22599 | + | 1.08914i | −0.292572 | + | 0.0440981i | ||||
\(611\) | −14.7013 | + | 11.7239i | −0.594750 | + | 0.474297i | ||||
\(612\) | 19.0111 | − | 28.3408i | 0.768478 | − | 1.14561i | ||||
\(613\) | −1.92727 | + | 0.928124i | −0.0778417 | + | 0.0374866i | −0.472400 | − | 0.881385i | \(-0.656612\pi\) |
0.394558 | + | 0.918871i | \(0.370898\pi\) | |||||||
\(614\) | −4.56047 | + | 0.687381i | −0.184046 | + | 0.0277404i | ||||
\(615\) | −2.65714 | + | 3.62884i | −0.107146 | + | 0.146329i | ||||
\(616\) | 7.84730 | − | 130.685i | 0.316177 | − | 5.26544i | ||||
\(617\) | −0.460719 | + | 3.05667i | −0.0185479 | + | 0.123057i | −0.996189 | − | 0.0872250i | \(-0.972200\pi\) |
0.977641 | + | 0.210282i | \(0.0674382\pi\) | |||||||
\(618\) | −49.1517 | + | 49.5237i | −1.97717 | + | 1.99213i | ||||
\(619\) | −4.19274 | − | 2.42068i | −0.168521 | − | 0.0972954i | 0.413368 | − | 0.910564i | \(-0.364352\pi\) |
−0.581888 | + | 0.813269i | \(0.697686\pi\) | |||||||
\(620\) | −1.40636 | − | 1.12153i | −0.0564806 | − | 0.0450418i | ||||
\(621\) | −17.1471 | + | 33.3513i | −0.688088 | + | 1.33834i | ||||
\(622\) | 34.4052 | + | 71.4432i | 1.37952 | + | 2.86461i | ||||
\(623\) | −29.2957 | − | 13.5768i | −1.17371 | − | 0.543944i | ||||
\(624\) | 30.3851 | + | 85.7970i | 1.21638 | + | 3.43463i | ||||
\(625\) | −23.5978 | − | 3.55680i | −0.943912 | − | 0.142272i | ||||
\(626\) | −2.31482 | − | 30.8891i | −0.0925186 | − | 1.23458i | ||||
\(627\) | −27.3456 | + | 1.12643i | −1.09208 | + | 0.0449854i | ||||
\(628\) | 114.600 | + | 8.58806i | 4.57303 | + | 0.342701i | ||||
\(629\) | 0.987322 | + | 4.32574i | 0.0393671 | + | 0.172479i | ||||
\(630\) | 3.61325 | − | 4.74477i | 0.143955 | − | 0.189036i | ||||
\(631\) | 1.01169 | − | 4.43252i | 0.0402749 | − | 0.176456i | −0.950790 | − | 0.309836i | \(-0.899726\pi\) |
0.991065 | + | 0.133380i | \(0.0425831\pi\) | |||||||
\(632\) | 0.775842 | − | 2.51522i | 0.0308613 | − | 0.100050i | ||||
\(633\) | −16.0080 | − | 36.3167i | −0.636262 | − | 1.44346i | ||||
\(634\) | 20.2525 | − | 18.7915i | 0.804328 | − | 0.746307i | ||||
\(635\) | 0.178032 | + | 2.37568i | 0.00706500 | + | 0.0942758i | ||||
\(636\) | −9.55391 | + | 36.2009i | −0.378837 | + | 1.43546i | ||||
\(637\) | 3.02944 | − | 25.1344i | 0.120031 | − | 0.995862i | ||||
\(638\) | − | 15.6465i | − | 0.619453i | ||||||
\(639\) | −38.4153 | − | 18.1444i | −1.51969 | − | 0.717780i | ||||
\(640\) | 9.24631 | − | 2.11041i | 0.365492 | − | 0.0834213i | ||||
\(641\) | −1.12856 | − | 7.48750i | −0.0445754 | − | 0.295739i | −1.00000 | 0.000502869i | \(-0.999840\pi\) | |
0.955424 | − | 0.295236i | \(-0.0953982\pi\) | |||||||
\(642\) | −37.8779 | + | 20.2021i | −1.49492 | + | 0.797311i | ||||
\(643\) | −2.74653 | − | 8.90402i | −0.108312 | − | 0.351140i | 0.885149 | − | 0.465308i | \(-0.154056\pi\) |
−0.993462 | + | 0.114167i | \(0.963580\pi\) | |||||||
\(644\) | 103.293 | + | 6.20248i | 4.07031 | + | 0.244412i | ||||
\(645\) | −1.95787 | − | 1.21994i | −0.0770910 | − | 0.0480351i | ||||
\(646\) | −1.27075 | + | 16.9570i | −0.0499969 | + | 0.667163i | ||||
\(647\) | −7.06998 | + | 30.9756i | −0.277950 | + | 1.21778i | 0.622431 | + | 0.782675i | \(0.286145\pi\) |
−0.900381 | + | 0.435103i | \(0.856712\pi\) | |||||||
\(648\) | −35.2263 | + | 76.0607i | −1.38382 | + | 2.98795i | ||||
\(649\) | −38.7373 | − | 30.8919i | −1.52057 | − | 1.21261i | ||||
\(650\) | −40.0773 | + | 27.3243i | −1.57196 | + | 1.07175i | ||||
\(651\) | −3.35626 | − | 4.37493i | −0.131542 | − | 0.171467i | ||||
\(652\) | 92.3006 | + | 62.9295i | 3.61477 | + | 2.46451i | ||||
\(653\) | 2.10713 | + | 6.83116i | 0.0824585 | + | 0.267324i | 0.987408 | − | 0.158196i | \(-0.0505676\pi\) |
−0.904949 | + | 0.425519i | \(0.860091\pi\) | |||||||
\(654\) | 0.0796167 | − | 0.184376i | 0.00311326 | − | 0.00720969i | ||||
\(655\) | 0.173682 | − | 0.300825i | 0.00678630 | − | 0.0117542i | ||||
\(656\) | −136.776 | −5.34021 | ||||||||
\(657\) | 10.8418 | − | 13.8074i | 0.422979 | − | 0.538679i | ||||
\(658\) | 11.5736 | + | 35.6365i | 0.451188 | + | 1.38925i | ||||
\(659\) | 2.57192 | + | 17.0636i | 0.100188 | + | 0.664703i | 0.981399 | + | 0.191980i | \(0.0614908\pi\) |
−0.881211 | + | 0.472723i | \(0.843271\pi\) | |||||||
\(660\) | 12.5884 | − | 5.54882i | 0.490002 | − | 0.215988i | ||||
\(661\) | 8.20350 | − | 12.0323i | 0.319079 | − | 0.468003i | −0.632870 | − | 0.774258i | \(-0.718123\pi\) |
0.951950 | + | 0.306254i | \(0.0990758\pi\) | |||||||
\(662\) | −53.2114 | + | 78.0467i | −2.06812 | + | 3.03337i | ||||
\(663\) | 12.0320 | − | 5.30358i | 0.467284 | − | 0.205974i | ||||
\(664\) | −11.4928 | − | 76.2500i | −0.446009 | − | 2.95907i | ||||
\(665\) | −0.291661 | + | 2.15093i | −0.0113101 | + | 0.0834096i | ||||
\(666\) | −6.43145 | − | 16.0307i | −0.249214 | − | 0.621176i | ||||
\(667\) | 7.80292 | 0.302130 | ||||||||
\(668\) | −46.5110 | + | 80.5594i | −1.79956 | + | 3.11694i | ||||
\(669\) | −17.2763 | + | 40.0084i | −0.667939 | + | 1.54681i | ||||
\(670\) | 0.353536 | + | 1.14613i | 0.0136583 | + | 0.0442790i | ||||
\(671\) | −42.6935 | − | 29.1079i | −1.64816 | − | 1.12370i | ||||
\(672\) | 95.9894 | + | 1.80542i | 3.70287 | + | 0.0696457i | ||||
\(673\) | 33.9138 | − | 23.1220i | 1.30728 | − | 0.891288i | 0.309067 | − | 0.951040i | \(-0.399983\pi\) |
0.998213 | + | 0.0597522i | \(0.0190310\pi\) | |||||||
\(674\) | −16.4566 | − | 13.1237i | −0.633884 | − | 0.505506i | ||||
\(675\) | −25.1915 | − | 4.47205i | −0.969621 | − | 0.172129i | ||||
\(676\) | −0.0963883 | + | 0.422305i | −0.00370724 | + | 0.0162425i | ||||
\(677\) | −1.28278 | + | 17.1175i | −0.0493012 | + | 0.657879i | 0.916739 | + | 0.399487i | \(0.130812\pi\) |
−0.966040 | + | 0.258392i | \(0.916807\pi\) | |||||||
\(678\) | 59.0138 | + | 36.7713i | 2.26641 | + | 1.41219i | ||||
\(679\) | −5.60035 | − | 33.7529i | −0.214922 | − | 1.29532i | ||||
\(680\) | −1.58960 | − | 5.15336i | −0.0609584 | − | 0.197622i | ||||
\(681\) | 33.5274 | − | 17.8817i | 1.28477 | − | 0.685230i | ||||
\(682\) | −2.59533 | − | 17.2189i | −0.0993802 | − | 0.659345i | ||||
\(683\) | 22.7776 | − | 5.19883i | 0.871559 | − | 0.198928i | 0.236726 | − | 0.971577i | \(-0.423926\pi\) |
0.634834 | + | 0.772649i | \(0.281069\pi\) | |||||||
\(684\) | −3.97674 | − | 48.1884i | −0.152054 | − | 1.84253i | ||||
\(685\) | − | 0.902975i | − | 0.0345009i | ||||||
\(686\) | −44.7658 | − | 23.2558i | −1.70917 | − | 0.887912i | ||||
\(687\) | 0.636467 | − | 2.41165i | 0.0242827 | − | 0.0920103i | ||||
\(688\) | −5.24249 | − | 69.9561i | −0.199868 | − | 2.66705i | ||||
\(689\) | −10.5749 | + | 9.81206i | −0.402871 | + | 0.373810i | ||||
\(690\) | 3.78843 | + | 8.59465i | 0.144223 | + | 0.327193i | ||||
\(691\) | −6.70674 | + | 21.7427i | −0.255136 | + | 0.827131i | 0.733874 | + | 0.679285i | \(0.237710\pi\) |
−0.989010 | + | 0.147846i | \(0.952766\pi\) | |||||||
\(692\) | 6.03350 | − | 26.4345i | 0.229359 | − | 1.00489i | ||||
\(693\) | 41.5489 | − | 7.21612i | 1.57831 | − | 0.274118i | ||||
\(694\) | −12.5293 | − | 54.8946i | −0.475607 | − | 2.08377i | ||||
\(695\) | 2.13474 | + | 0.159977i | 0.0809753 | + | 0.00606826i | ||||
\(696\) | 17.4262 | − | 0.717828i | 0.660539 | − | 0.0272092i | ||||
\(697\) | 1.47662 | + | 19.7042i | 0.0559311 | + | 0.746348i | ||||
\(698\) | −7.82043 | − | 1.17874i | −0.296008 | − | 0.0446160i | ||||
\(699\) | 8.14708 | + | 23.0045i | 0.308151 | + | 0.870110i | ||||
\(700\) | 16.7284 | + | 68.5887i | 0.632274 | + | 2.59241i | ||||
\(701\) | −0.447358 | − | 0.928948i | −0.0168965 | − | 0.0350859i | 0.892350 | − | 0.451344i | \(-0.149055\pi\) |
−0.909246 | + | 0.416259i | \(0.863341\pi\) | |||||||
\(702\) | −43.0311 | + | 27.7218i | −1.62411 | + | 1.04629i | ||||
\(703\) | 4.91501 | + | 3.91959i | 0.185373 | + | 0.147830i | ||||
\(704\) | 128.858 | + | 74.3960i | 4.85651 | + | 2.80390i | ||||
\(705\) | −1.74994 | + | 1.76318i | −0.0659065 | + | 0.0664052i | ||||
\(706\) | 2.08411 | − | 13.8272i | 0.0784367 | − | 0.520393i | ||||
\(707\) | −5.32103 | − | 12.9882i | −0.200118 | − | 0.488473i | ||||
\(708\) | 51.7135 | − | 70.6249i | 1.94351 | − | 2.65425i | ||||
\(709\) | −1.82936 | + | 0.275731i | −0.0687029 | + | 0.0103553i | −0.183304 | − | 0.983056i | \(-0.558679\pi\) |
0.114601 | + | 0.993412i | \(0.463441\pi\) | |||||||
\(710\) | −9.58701 | + | 4.61686i | −0.359794 | + | 0.173268i | ||||
\(711\) | 0.845930 | + | 0.0569844i | 0.0317249 | + | 0.00213708i | ||||
\(712\) | 88.8653 | − | 70.8677i | 3.33037 | − | 2.65588i | ||||
\(713\) | 8.58704 | − | 1.29429i | 0.321587 | − | 0.0484714i | ||||
\(714\) | −1.46633 | − | 26.1601i | −0.0548759 | − | 0.979017i | ||||
\(715\) | 5.24141 | + | 0.790015i | 0.196018 | + | 0.0295449i | ||||
\(716\) | 1.14786 | − | 0.662720i | 0.0428977 | − | 0.0247670i | ||||
\(717\) | 1.95536 | − | 7.40910i | 0.0730243 | − | 0.276698i | ||||
\(718\) | −4.43867 | − | 11.3095i | −0.165650 | − | 0.422068i | ||||
\(719\) | 7.02287 | − | 30.7692i | 0.261909 | − | 1.14750i | −0.657270 | − | 0.753656i | \(-0.728289\pi\) |
0.919178 | − | 0.393842i | \(-0.128854\pi\) | |||||||
\(720\) | 5.29878 | + | 10.7941i | 0.197474 | + | 0.402273i | ||||
\(721\) | −5.25774 | + | 38.7747i | −0.195808 | + | 1.44404i | ||||
\(722\) | −15.5815 | − | 22.8538i | −0.579882 | − | 0.850531i | ||||
\(723\) | −3.90025 | + | 9.03219i | −0.145052 | + | 0.335911i | ||||
\(724\) | −42.4301 | + | 3.17969i | −1.57690 | + | 0.118172i | ||||
\(725\) | 1.56916 | + | 5.08708i | 0.0582770 | + | 0.188929i | ||||
\(726\) | 76.8195 | + | 26.5557i | 2.85104 | + | 0.985575i | ||||
\(727\) | −15.7139 | + | 50.9433i | −0.582797 | + | 1.88938i | −0.147597 | + | 0.989048i | \(0.547154\pi\) |
−0.435200 | + | 0.900334i | \(0.643322\pi\) | |||||||
\(728\) | 74.3691 | + | 49.1051i | 2.75630 | + | 1.81996i | ||||
\(729\) | −26.4522 | − | 5.41128i | −0.979711 | − | 0.200418i | ||||
\(730\) | −0.978410 | − | 4.28669i | −0.0362126 | − | 0.158658i | ||||
\(731\) | −10.0214 | + | 1.51048i | −0.370654 | + | 0.0558671i | ||||
\(732\) | 48.2767 | − | 77.4787i | 1.78436 | − | 2.86369i | ||||
\(733\) | −50.8734 | + | 3.81244i | −1.87905 | + | 0.140816i | −0.964573 | − | 0.263816i | \(-0.915019\pi\) |
−0.914480 | + | 0.404631i | \(0.867400\pi\) | |||||||
\(734\) | 13.5716 | + | 23.5068i | 0.500938 | + | 0.867650i | ||||
\(735\) | 0.0133181 | − | 3.34454i | 0.000491244 | − | 0.123365i | ||||
\(736\) | −75.6000 | + | 130.943i | −2.78665 | + | 4.82663i | ||||
\(737\) | −3.67981 | + | 7.64121i | −0.135548 | + | 0.281467i | ||||
\(738\) | −17.6814 | − | 74.8615i | −0.650862 | − | 2.75569i | ||||
\(739\) | −14.4004 | − | 18.0575i | −0.529725 | − | 0.664255i | 0.442917 | − | 0.896563i | \(-0.353944\pi\) |
−0.972642 | + | 0.232308i | \(0.925372\pi\) | |||||||
\(740\) | −3.01957 | − | 0.931413i | −0.111001 | − | 0.0342394i | ||||
\(741\) | 8.64315 | − | 16.5039i | 0.317514 | − | 0.606286i | ||||
\(742\) | 10.8974 | + | 26.5997i | 0.400055 | + | 0.976506i | ||||
\(743\) | −31.4411 | − | 33.8854i | −1.15346 | − | 1.24314i | −0.965342 | − | 0.260990i | \(-0.915951\pi\) |
−0.188120 | − | 0.982146i | \(-0.560239\pi\) | |||||||
\(744\) | 19.0583 | − | 3.68049i | 0.698712 | − | 0.134933i | ||||
\(745\) | −0.0626259 | + | 0.0674946i | −0.00229443 | + | 0.00247281i | ||||
\(746\) | 7.02800 | − | 14.5938i | 0.257313 | − | 0.534317i | ||||
\(747\) | 23.0523 | − | 9.24852i | 0.843441 | − | 0.338386i | ||||
\(748\) | 26.2233 | − | 54.4532i | 0.958818 | − | 1.99101i | ||||
\(749\) | −10.1228 | + | 21.8426i | −0.369877 | + | 0.798112i | ||||
\(750\) | −9.75762 | + | 8.46134i | −0.356298 | + | 0.308964i | ||||
\(751\) | 33.3882 | − | 10.2989i | 1.21835 | − | 0.375812i | 0.382082 | − | 0.924128i | \(-0.375207\pi\) |
0.836271 | + | 0.548316i | \(0.184731\pi\) | |||||||
\(752\) | −74.7012 | − | 11.2594i | −2.72407 | − | 0.410588i | ||||
\(753\) | 22.6662 | − | 22.8377i | 0.826000 | − | 0.832251i | ||||
\(754\) | 9.22379 | + | 5.32536i | 0.335911 | + | 0.193938i | ||||
\(755\) | −1.62461 | + | 2.03720i | −0.0591257 | + | 0.0741412i | ||||
\(756\) | 15.7589 | + | 72.8170i | 0.573147 | + | 2.64833i | ||||
\(757\) | 2.04176 | + | 2.56029i | 0.0742091 | + | 0.0930553i | 0.817550 | − | 0.575857i | \(-0.195332\pi\) |
−0.743341 | + | 0.668912i | \(0.766760\pi\) | |||||||
\(758\) | −4.77734 | − | 31.6956i | −0.173521 | − | 1.15124i | ||||
\(759\) | −21.6990 | + | 62.7700i | −0.787623 | + | 2.27841i | ||||
\(760\) | −6.31328 | − | 4.30432i | −0.229007 | − | 0.156134i | ||||
\(761\) | −13.9715 | + | 35.5987i | −0.506465 | + | 1.29045i | 0.417744 | + | 0.908565i | \(0.362821\pi\) |
−0.924209 | + | 0.381887i | \(0.875274\pi\) | |||||||
\(762\) | −32.8735 | − | 24.0709i | −1.19088 | − | 0.871996i | ||||
\(763\) | −0.0266867 | − | 0.109419i | −0.000966123 | − | 0.00396124i | ||||
\(764\) | 13.2918 | + | 10.5999i | 0.480881 | + | 0.383490i | ||||
\(765\) | 1.49781 | − | 0.879881i | 0.0541534 | − | 0.0318122i | ||||
\(766\) | 71.9604i | 2.60003i | ||||||||
\(767\) | 31.3955 | − | 12.3218i | 1.13362 | − | 0.444915i | ||||
\(768\) | −30.2436 | + | 57.7494i | −1.09132 | + | 2.08385i | ||||
\(769\) | 5.39629 | − | 7.91491i | 0.194595 | − | 0.285419i | −0.716523 | − | 0.697563i | \(-0.754268\pi\) |
0.911119 | + | 0.412144i | \(0.135220\pi\) | |||||||
\(770\) | 5.14491 | − | 9.22439i | 0.185410 | − | 0.332424i | ||||
\(771\) | 21.9027 | + | 18.7056i | 0.788806 | + | 0.673664i | ||||
\(772\) | −20.4530 | − | 52.1135i | −0.736120 | − | 1.87560i | ||||
\(773\) | −22.8282 | − | 10.9935i | −0.821075 | − | 0.395409i | −0.0243147 | − | 0.999704i | \(-0.507740\pi\) |
−0.796760 | + | 0.604296i | \(0.793455\pi\) | |||||||
\(774\) | 37.6113 | − | 11.9128i | 1.35191 | − | 0.428196i | ||||
\(775\) | 2.57065 | + | 5.33800i | 0.0923404 | + | 0.191747i | ||||
\(776\) | 115.090 | + | 35.5006i | 4.13150 | + | 1.27440i | ||||
\(777\) | −8.29621 | − | 5.00016i | −0.297625 | − | 0.179380i | ||||
\(778\) | 27.6876 | − | 8.54051i | 0.992650 | − | 0.306192i | ||||
\(779\) | 19.0422 | + | 20.5226i | 0.682257 | + | 0.735298i | ||||
\(780\) | −1.01341 | + | 9.30953i | −0.0362860 | + | 0.333335i | ||||
\(781\) | −71.8981 | − | 22.1776i | −2.57272 | − | 0.793578i | ||||
\(782\) | 37.1777 | + | 17.9038i | 1.32947 | + | 0.640240i | ||||
\(783\) | 1.51530 | + | 5.40973i | 0.0541523 | + | 0.193328i | ||||
\(784\) | 82.3015 | − | 59.7614i | 2.93934 | − | 2.13434i | ||||
\(785\) | 5.06605 | + | 2.92489i | 0.180815 | + | 0.104394i | ||||
\(786\) | 1.98324 | + | 5.59997i | 0.0707398 | + | 0.199744i | ||||
\(787\) | −27.5097 | − | 29.6484i | −0.980613 | − | 1.05685i | −0.998374 | − | 0.0570077i | \(-0.981844\pi\) |
0.0177603 | − | 0.999842i | \(-0.494346\pi\) | |||||||
\(788\) | 10.0128 | + | 3.92974i | 0.356692 | + | 0.139991i | ||||
\(789\) | 13.1147 | + | 24.5895i | 0.466897 | + | 0.875409i | ||||
\(790\) | 0.144437 | − | 0.155666i | 0.00513883 | − | 0.00553834i | ||||
\(791\) | 38.8372 | − | 3.49011i | 1.38089 | − | 0.124094i | ||||
\(792\) | −42.6857 | + | 142.180i | −1.51677 | + | 5.05215i | ||||
\(793\) | 31.6903 | − | 15.2612i | 1.12536 | − | 0.541942i | ||||
\(794\) | −49.5830 | − | 46.0063i | −1.75964 | − | 1.63270i | ||||
\(795\) | −1.23768 | + | 1.44923i | −0.0438961 | + | 0.0513988i | ||||
\(796\) | 6.10646 | − | 40.5137i | 0.216438 | − | 1.43597i | ||||
\(797\) | −2.33783 | − | 31.1961i | −0.0828100 | − | 1.10502i | −0.871554 | − | 0.490300i | \(-0.836887\pi\) |
0.788744 | − | 0.614722i | \(-0.210732\pi\) | |||||||
\(798\) | −24.7339 | − | 27.6832i | −0.875570 | − | 0.979973i | ||||
\(799\) | −0.815576 | + | 10.8831i | −0.0288530 | + | 0.385017i | ||||
\(800\) | −100.571 | − | 22.9547i | −3.55572 | − | 0.811569i | ||||
\(801\) | 28.7958 | + | 22.6109i | 1.01745 | + | 0.798915i | ||||
\(802\) | −53.0123 | −1.87193 | ||||||||
\(803\) | 15.5453 | − | 26.9253i | 0.548583 | − | 0.950174i | ||||
\(804\) | −13.7558 | − | 5.93996i | −0.485128 | − | 0.209486i | ||||
\(805\) | 4.60020 | + | 2.56576i | 0.162136 | + | 0.0904312i | ||||
\(806\) | 11.0340 | + | 4.33053i | 0.388657 | + | 0.152537i | ||||
\(807\) | 43.3752 | + | 4.72172i | 1.52688 | + | 0.166212i | ||||
\(808\) | 49.2711 | + | 3.69236i | 1.73335 | + | 0.129897i | ||||
\(809\) | −13.2344 | − | 27.4815i | −0.465296 | − | 0.966198i | −0.993148 | − | 0.116861i | \(-0.962717\pi\) |
0.527852 | − | 0.849336i | \(-0.322998\pi\) | |||||||
\(810\) | −5.22293 | + | 4.29555i | −0.183515 | + | 0.150930i | ||||
\(811\) | −17.3439 | + | 13.8313i | −0.609028 | + | 0.485684i | −0.878768 | − | 0.477250i | \(-0.841634\pi\) |
0.269740 | + | 0.962933i | \(0.413062\pi\) | |||||||
\(812\) | 11.9753 | − | 9.84390i | 0.420250 | − | 0.345453i | ||||
\(813\) | 19.4052 | − | 2.26054i | 0.680569 | − | 0.0792806i | ||||
\(814\) | −15.2951 | − | 26.4918i | −0.536092 | − | 0.928538i | ||||
\(815\) | 2.84321 | + | 4.92458i | 0.0995931 | + | 0.172500i | ||||
\(816\) | 48.4986 | + | 20.9425i | 1.69779 | + | 0.733134i | ||||
\(817\) | −9.76670 | + | 10.5260i | −0.341694 | + | 0.368258i | ||||
\(818\) | 60.1949 | − | 28.9883i | 2.10466 | − | 1.01355i | ||||
\(819\) | −9.88734 | + | 26.9495i | −0.345492 | + | 0.941692i | ||||
\(820\) | −12.6787 | − | 6.10576i | −0.442761 | − | 0.213223i | ||||
\(821\) | −28.3700 | + | 11.1344i | −0.990121 | + | 0.388594i | −0.804451 | − | 0.594019i | \(-0.797541\pi\) |
−0.185669 | + | 0.982612i | \(0.559445\pi\) | |||||||
\(822\) | 11.7434 | + | 10.0292i | 0.409597 | + | 0.349808i | ||||
\(823\) | 47.4464 | − | 14.6353i | 1.65388 | − | 0.510154i | 0.679235 | − | 0.733921i | \(-0.262312\pi\) |
0.974643 | + | 0.223767i | \(0.0718356\pi\) | |||||||
\(824\) | −113.809 | − | 77.5936i | −3.96472 | − | 2.70310i | ||||
\(825\) | −45.2863 | − | 1.52359i | −1.57667 | − | 0.0530444i | ||||
\(826\) | −0.996239 | − | 67.1979i | −0.0346636 | − | 2.33811i | ||||
\(827\) | −1.99796 | − | 0.456020i | −0.0694757 | − | 0.0158574i | 0.187642 | − | 0.982238i | \(-0.439916\pi\) |
−0.257117 | + | 0.966380i | \(0.582773\pi\) | |||||||
\(828\) | −112.379 | − | 33.7387i | −3.90544 | − | 1.17250i | ||||
\(829\) | 17.8283 | − | 14.2176i | 0.619204 | − | 0.493799i | −0.262919 | − | 0.964818i | \(-0.584685\pi\) |
0.882123 | + | 0.471019i | \(0.156114\pi\) | |||||||
\(830\) | 1.83369 | − | 5.94467i | 0.0636483 | − | 0.206343i | ||||
\(831\) | 8.83270 | − | 47.6647i | 0.306403 | − | 1.65347i | ||||
\(832\) | −87.7143 | + | 50.6419i | −3.04095 | + | 1.75569i | ||||
\(833\) | −9.49783 | − | 11.2113i | −0.329080 | − | 0.388448i | ||||
\(834\) | −25.7907 | + | 25.9859i | −0.893059 | + | 0.899817i | ||||
\(835\) | −3.91229 | + | 2.66735i | −0.135390 | + | 0.0923075i | ||||
\(836\) | −19.0550 | − | 83.4852i | −0.659030 | − | 2.88740i | ||||
\(837\) | 2.56489 | + | 5.70201i | 0.0886556 | + | 0.197090i | ||||
\(838\) | 16.2767 | − | 3.71504i | 0.562268 | − | 0.128334i | ||||
\(839\) | 28.6938 | + | 26.6240i | 0.990622 | + | 0.919163i | 0.996729 | − | 0.0808187i | \(-0.0257535\pi\) |
−0.00610711 | + | 0.999981i | \(0.501944\pi\) | |||||||
\(840\) | 10.5096 | + | 5.30691i | 0.362617 | + | 0.183106i | ||||
\(841\) | −20.4016 | + | 18.9299i | −0.703504 | + | 0.652756i | ||||
\(842\) | 26.6086 | − | 39.0277i | 0.916994 | − | 1.34498i | ||||
\(843\) | 0.00126923 | + | 0.0308123i | 4.37147e−5 | + | 0.00106123i | ||||
\(844\) | 102.600 | − | 69.9517i | 3.53165 | − | 2.40784i | ||||
\(845\) | −0.0137474 | + | 0.0172388i | −0.000472927 | + | 0.000593031i | ||||
\(846\) | −3.49423 | − | 42.3416i | −0.120134 | − | 1.45573i | ||||
\(847\) | 43.3528 | − | 14.0797i | 1.48962 | − | 0.483783i | ||||
\(848\) | −57.7948 | − | 4.33112i | −1.98468 | − | 0.148731i | ||||
\(849\) | 21.1026 | + | 11.0515i | 0.724238 | + | 0.379286i | ||||
\(850\) | −4.19595 | + | 27.8383i | −0.143920 | + | 0.954845i | ||||
\(851\) | 13.2115 | − | 7.62763i | 0.452883 | − | 0.261472i | ||||
\(852\) | 33.9199 | − | 128.527i | 1.16208 | − | 4.40325i | ||||
\(853\) | −46.4083 | + | 18.2139i | −1.58899 | + | 0.623632i | −0.984875 | − | 0.173266i | \(-0.944568\pi\) |
−0.604114 | + | 0.796898i | \(0.706473\pi\) | |||||||
\(854\) | −6.27317 | − | 69.8067i | −0.214664 | − | 2.38874i | ||||
\(855\) | 0.881899 | − | 2.29783i | 0.0301603 | − | 0.0785840i | ||||
\(856\) | −52.8383 | − | 66.2571i | −1.80598 | − | 2.26462i | ||||
\(857\) | 3.58754 | − | 47.8724i | 0.122548 | − | 1.63529i | −0.509578 | − | 0.860424i | \(-0.670199\pi\) |
0.632126 | − | 0.774865i | \(-0.282182\pi\) | |||||||
\(858\) | −68.4897 | + | 59.3910i | −2.33820 | + | 2.02757i | ||||
\(859\) | 4.56689 | + | 1.79237i | 0.155820 | + | 0.0611549i | 0.441969 | − | 0.897030i | \(-0.354280\pi\) |
−0.286149 | + | 0.958185i | \(0.592375\pi\) | |||||||
\(860\) | 2.63692 | − | 6.71875i | 0.0899181 | − | 0.229108i | ||||
\(861\) | −33.2144 | − | 27.5252i | −1.13194 | − | 0.938056i | ||||
\(862\) | −26.9465 | − | 68.6586i | −0.917802 | − | 2.33852i | ||||
\(863\) | 30.7572i | 1.04699i | 0.852030 | + | 0.523494i | \(0.175372\pi\) | ||||
−0.852030 | + | 0.523494i | \(0.824628\pi\) | |||||||
\(864\) | −105.463 | − | 26.9845i | −3.58794 | − | 0.918031i | ||||
\(865\) | 0.860533 | − | 1.07907i | 0.0292590 | − | 0.0366896i | ||||
\(866\) | 18.5402 | + | 17.2028i | 0.630020 | + | 0.584573i | ||||
\(867\) | −7.12678 | + | 20.6161i | −0.242038 | + | 0.700160i | ||||
\(868\) | 11.5459 | − | 12.8195i | 0.391892 | − | 0.435122i | ||||
\(869\) | 1.49735 | − | 0.112211i | 0.0507940 | − | 0.00380649i | ||||
\(870\) | 1.29179 | + | 0.557814i | 0.0437956 | + | 0.0189117i | ||||
\(871\) | −3.25213 | − | 4.77000i | −0.110194 | − | 0.161625i | ||||
\(872\) | 0.386527 | + | 0.0882222i | 0.0130894 | + | 0.00298758i | ||||
\(873\) | −2.60747 | + | 38.7077i | −0.0882495 | + | 1.31006i | ||||
\(874\) | 56.9992 | − | 13.0097i | 1.92803 | − | 0.440059i | ||||
\(875\) | −1.50684 | + | 7.08442i | −0.0509407 | + | 0.239497i | ||||
\(876\) | 48.6587 | + | 25.4827i | 1.64402 | + | 0.860980i | ||||
\(877\) | −30.7601 | + | 28.5412i | −1.03869 | + | 0.963768i | −0.999371 | − | 0.0354589i | \(-0.988711\pi\) |
−0.0393233 | + | 0.999227i | \(0.512520\pi\) | |||||||
\(878\) | 3.11397 | − | 7.93427i | 0.105092 | − | 0.267769i | ||||
\(879\) | −0.852741 | + | 25.3465i | −0.0287622 | + | 0.854915i | ||||
\(880\) | 11.9962 | + | 17.5952i | 0.404393 | + | 0.593136i | ||||
\(881\) | 4.31610 | 0.145413 | 0.0727065 | − | 0.997353i | \(-0.476836\pi\) | ||||
0.0727065 | + | 0.997353i | \(0.476836\pi\) | |||||||
\(882\) | 43.3485 | + | 37.3204i | 1.45962 | + | 1.25664i | ||||
\(883\) | −6.90351 | −0.232322 | −0.116161 | − | 0.993230i | \(-0.537059\pi\) | ||||
−0.116161 | + | 0.993230i | \(0.537059\pi\) | |||||||
\(884\) | 23.1755 | + | 33.9922i | 0.779477 | + | 1.14328i | ||||
\(885\) | 3.93147 | − | 2.09684i | 0.132155 | − | 0.0704845i | ||||
\(886\) | −12.3436 | + | 31.4510i | −0.414691 | + | 1.05662i | ||||
\(887\) | −23.7906 | + | 22.0744i | −0.798810 | + | 0.741187i | −0.969752 | − | 0.244094i | \(-0.921509\pi\) |
0.170942 | + | 0.985281i | \(0.445319\pi\) | |||||||
\(888\) | 28.8034 | − | 18.2501i | 0.966578 | − | 0.612435i | ||||
\(889\) | −22.8467 | + | 0.338712i | −0.766254 | + | 0.0113601i | ||||
\(890\) | 8.94001 | − | 2.04050i | 0.299670 | − | 0.0683977i | ||||
\(891\) | −47.7320 | − | 2.85410i | −1.59908 | − | 0.0956158i | ||||
\(892\) | −132.933 | − | 30.3410i | −4.45092 | − | 1.01589i | ||||
\(893\) | 8.71059 | + | 12.7761i | 0.291489 | + | 0.427536i | ||||
\(894\) | −0.182206 | − | 1.56411i | −0.00609388 | − | 0.0523118i | ||||
\(895\) | 0.0672796 | − | 0.00504191i | 0.00224891 | − | 0.000168532i | ||||
\(896\) | 14.8892 | + | 89.7360i | 0.497412 | + | 2.99787i | ||||
\(897\) | −29.6182 | − | 34.1558i | −0.988924 | − | 1.14043i | ||||
\(898\) | −55.5597 | − | 51.5518i | −1.85405 | − | 1.72031i | ||||
\(899\) | 0.811118 | − | 1.01711i | 0.0270523 | − | 0.0339225i | ||||
\(900\) | −0.603457 | − | 80.0498i | −0.0201152 | − | 2.66833i | ||||
\(901\) | 8.37275i | 0.278937i | ||||||||
\(902\) | −49.7698 | − | 126.811i | −1.65715 | − | 4.22235i | ||||
\(903\) | 12.8051 | − | 18.0430i | 0.426126 | − | 0.600433i | ||||
\(904\) | −50.1487 | + | 127.777i | −1.66792 | + | 4.24979i | ||||
\(905\) | −2.01614 | − | 0.791275i | −0.0670186 | − | 0.0263029i | ||||
\(906\) | −8.44988 | − | 43.7552i | −0.280728 | − | 1.45367i | ||||
\(907\) | 0.0732061 | − | 0.976868i | 0.00243077 | − | 0.0324364i | −0.995857 | − | 0.0909384i | \(-0.971013\pi\) |
0.998287 | + | 0.0585020i | \(0.0186324\pi\) | |||||||
\(908\) | 74.1260 | + | 92.9510i | 2.45996 | + | 3.08469i | ||||
\(909\) | 2.49062 | + | 15.7192i | 0.0826085 | + | 0.521372i | ||||
\(910\) | 3.68678 | + | 6.17253i | 0.122216 | + | 0.204617i | ||||
\(911\) | 14.3803 | − | 5.64384i | 0.476440 | − | 0.186989i | −0.114956 | − | 0.993371i | \(-0.536673\pi\) |
0.591395 | + | 0.806382i | \(0.298577\pi\) | |||||||
\(912\) | 72.2241 | − | 19.6445i | 2.39158 | − | 0.650493i | ||||
\(913\) | 38.0956 | − | 21.9945i | 1.26078 | − | 0.727913i | ||||
\(914\) | 1.78133 | − | 11.8184i | 0.0589213 | − | 0.390917i | ||||
\(915\) | 3.92522 | − | 2.48707i | 0.129764 | − | 0.0822199i | ||||
\(916\) | 7.78217 | + | 0.583193i | 0.257130 | + | 0.0192692i | ||||
\(917\) | 2.78021 | + | 1.83574i | 0.0918105 | + | 0.0606215i | ||||
\(918\) | −5.19288 | + | 29.2520i | −0.171391 | + | 0.965459i | ||||
\(919\) | −22.0251 | + | 27.6186i | −0.726540 | + | 0.911052i | −0.998688 | − | 0.0512030i | \(-0.983694\pi\) |
0.272148 | + | 0.962255i | \(0.412266\pi\) | |||||||
\(920\) | −15.3202 | + | 10.4451i | −0.505091 | + | 0.344365i | ||||
\(921\) | 2.47729 | − | 1.56964i | 0.0816295 | − | 0.0517214i | ||||
\(922\) | −31.4913 | + | 46.1893i | −1.03711 | + | 1.52116i | ||||
\(923\) | 37.5447 | − | 34.8364i | 1.23580 | − | 1.14665i | ||||
\(924\) | 45.8867 | + | 123.709i | 1.50956 | + | 4.06973i | ||||
\(925\) | 7.62961 | + | 7.07924i | 0.250860 | + | 0.232764i | ||||
\(926\) | 62.4830 | − | 14.2613i | 2.05332 | − | 0.468656i | ||||
\(927\) | 15.8979 | − | 41.4227i | 0.522156 | − | 1.36050i | ||||
\(928\) | 5.04030 | + | 22.0830i | 0.165456 | + | 0.724910i | ||||
\(929\) | −24.6663 | + | 16.8172i | −0.809276 | + | 0.551755i | −0.895781 | − | 0.444496i | \(-0.853383\pi\) |
0.0865047 | + | 0.996251i | \(0.472430\pi\) | |||||||
\(930\) | 1.51412 | + | 0.399597i | 0.0496500 | + | 0.0131033i | ||||
\(931\) | −20.4250 | − | 4.02886i | −0.669404 | − | 0.132040i | ||||
\(932\) | −66.1275 | + | 38.1788i | −2.16608 | + | 1.25059i | ||||
\(933\) | −38.3431 | − | 32.7462i | −1.25530 | − | 1.07206i | ||||
\(934\) | −10.5782 | + | 34.2937i | −0.346129 | + | 1.12212i | ||||
\(935\) | 2.40528 | − | 1.91815i | 0.0786612 | − | 0.0627302i | ||||
\(936\) | −69.2884 | − | 73.5552i | −2.26476 | − | 2.40423i | ||||
\(937\) | −0.340078 | − | 0.0776205i | −0.0111099 | − | 0.00253575i | 0.216962 | − | 0.976180i | \(-0.430385\pi\) |
−0.228072 | + | 0.973644i | \(0.573242\pi\) | |||||||
\(938\) | −11.1762 | + | 2.72580i | −0.364914 | + | 0.0890005i | ||||
\(939\) | 9.26938 | + | 17.3796i | 0.302495 | + | 0.567163i | ||||
\(940\) | −6.42196 | − | 4.37841i | −0.209461 | − | 0.142808i | ||||
\(941\) | 27.8511 | − | 8.59093i | 0.907920 | − | 0.280056i | 0.194590 | − | 0.980885i | \(-0.437662\pi\) |
0.713330 | + | 0.700828i | \(0.247186\pi\) | |||||||
\(942\) | −94.3065 | + | 33.3988i | −3.07267 | + | 1.08819i | ||||
\(943\) | 63.2407 | − | 24.8201i | 2.05940 | − | 0.808255i | ||||
\(944\) | 122.081 | + | 58.7914i | 3.97341 | + | 1.91350i | ||||
\(945\) | −0.885491 | + | 3.68755i | −0.0288050 | + | 0.119956i | ||||
\(946\) | 62.9518 | − | 30.3160i | 2.04674 | − | 0.985658i | ||||
\(947\) | −35.8827 | + | 38.6724i | −1.16603 | + | 1.25668i | −0.205456 | + | 0.978666i | \(0.565868\pi\) |
−0.960576 | + | 0.278018i | \(0.910323\pi\) | |||||||
\(948\) | 0.306949 | + | 2.63494i | 0.00996924 | + | 0.0855790i | ||||
\(949\) | 10.5818 | + | 18.3283i | 0.343501 | + | 0.594961i | ||||
\(950\) | 19.9441 | + | 34.5441i | 0.647071 | + | 1.12076i | ||||
\(951\) | −6.96457 | + | 16.1286i | −0.225842 | + | 0.523004i | ||||
\(952\) | 50.2513 | − | 12.2560i | 1.62865 | − | 0.397219i | ||||
\(953\) | −29.8484 | + | 23.8033i | −0.966886 | + | 0.771066i | −0.973447 | − | 0.228913i | \(-0.926483\pi\) |
0.00656131 | + | 0.999978i | \(0.497911\pi\) | |||||||
\(954\) | −5.10074 | − | 32.1926i | −0.165142 | − | 1.04227i | ||||
\(955\) | 0.375478 | + | 0.779688i | 0.0121502 | + | 0.0252301i | ||||
\(956\) | 23.9084 | + | 1.79169i | 0.773254 | + | 0.0579474i | ||||
\(957\) | 4.01304 | + | 9.10421i | 0.129723 | + | 0.294297i | ||||
\(958\) | −13.4544 | − | 5.28044i | −0.434690 | − | 0.170603i | ||||
\(959\) | 8.64494 | + | 0.519107i | 0.279160 | + | 0.0167628i | ||||
\(960\) | −10.7361 | + | 7.98626i | −0.346505 | + | 0.257755i | ||||
\(961\) | −14.7761 | + | 25.5929i | −0.476648 | + | 0.825578i | ||||
\(962\) | 20.8229 | 0.671358 | ||||||||
\(963\) | 16.8584 | − | 21.4699i | 0.543256 | − | 0.691857i | ||||
\(964\) | −30.0106 | − | 6.84971i | −0.966575 | − | 0.220614i | ||||
\(965\) | 0.212958 | − | 2.84173i | 0.00685536 | − | 0.0914785i | ||||
\(966\) | −84.4618 | + | 31.3289i | −2.71751 | + | 1.00799i | ||||
\(967\) | 0.609217 | + | 8.12944i | 0.0195911 | + | 0.261425i | 0.998395 | + | 0.0566273i | \(0.0180347\pi\) |
−0.978804 | + | 0.204798i | \(0.934346\pi\) | |||||||
\(968\) | −23.9148 | + | 158.664i | −0.768651 | + | 5.09967i | ||||
\(969\) | −3.60973 | − | 10.1926i | −0.115961 | − | 0.327434i | ||||
\(970\) | 7.12289 | + | 6.60907i | 0.228702 | + | 0.212205i | ||||
\(971\) | −10.8616 | + | 5.23068i | −0.348566 | + | 0.167861i | −0.599972 | − | 0.800021i | \(-0.704821\pi\) |
0.251406 | + | 0.967882i | \(0.419107\pi\) | |||||||
\(972\) | 1.56731 | − | 84.4637i | 0.0502716 | − | 2.70917i | ||||
\(973\) | −2.75882 | + | 20.3457i | −0.0884437 | + | 0.652253i | ||||
\(974\) | −34.3231 | + | 36.9916i | −1.09978 | + | 1.18529i | ||||
\(975\) | 16.3115 | − | 26.1782i | 0.522387 | − | 0.838372i | ||||
\(976\) | 131.544 | + | 51.6272i | 4.21062 | + | 1.65255i | ||||
\(977\) | 0.858277 | + | 0.925002i | 0.0274587 | + | 0.0295934i | 0.746632 | − | 0.665237i | \(-0.231670\pi\) |
−0.719173 | + | 0.694831i | \(0.755479\pi\) | |||||||
\(978\) | −95.6241 | − | 17.7200i | −3.05772 | − | 0.566623i | ||||
\(979\) | 56.1535 | + | 32.4202i | 1.79467 | + | 1.03615i | ||||
\(980\) | 10.2969 | − | 1.86573i | 0.328922 | − | 0.0595984i | ||||
\(981\) | 0.000962691 | 0.127703i | 3.07364e−5 | 0.00407724i | ||||||
\(982\) | −0.403459 | − | 0.194295i | −0.0128749 | − | 0.00620021i | ||||
\(983\) | 50.3131 | + | 15.5196i | 1.60474 | + | 0.494997i | 0.962449 | − | 0.271464i | \(-0.0875077\pi\) |
0.642291 | + | 0.766460i | \(0.277984\pi\) | |||||||
\(984\) | 138.952 | − | 61.2485i | 4.42962 | − | 1.95253i | ||||
\(985\) | 0.372413 | + | 0.401365i | 0.0118661 | + | 0.0127886i | ||||
\(986\) | 5.90704 | − | 1.82208i | 0.188118 | − | 0.0580269i | ||||
\(987\) | −15.8744 | − | 17.7673i | −0.505288 | − | 0.565538i | ||||
\(988\) | 55.7008 | + | 17.1814i | 1.77208 | + | 0.546614i | ||||
\(989\) | 15.1186 | + | 31.3940i | 0.480742 | + | 0.998272i | ||||
\(990\) | −8.07959 | + | 8.84046i | −0.256786 | + | 0.280968i | ||||
\(991\) | −39.3569 | − | 18.9533i | −1.25021 | − | 0.602071i | −0.312644 | − | 0.949870i | \(-0.601215\pi\) |
−0.937569 | + | 0.347800i | \(0.886929\pi\) | |||||||
\(992\) | 9.20976 | + | 23.4661i | 0.292410 | + | 0.745049i | ||||
\(993\) | 10.9444 | − | 59.0605i | 0.347311 | − | 1.87423i | ||||
\(994\) | −38.6897 | − | 94.4387i | −1.22716 | − | 2.99541i | ||||
\(995\) | 1.17483 | − | 1.72316i | 0.0372446 | − | 0.0546278i | ||||
\(996\) | 41.5946 | + | 65.6468i | 1.31797 | + | 2.08010i | ||||
\(997\) | 29.9912 | − | 11.7707i | 0.949831 | − | 0.372781i | 0.160698 | − | 0.987004i | \(-0.448625\pi\) |
0.789133 | + | 0.614222i | \(0.210530\pi\) | |||||||
\(998\) | 9.93914i | 0.314618i | ||||||||
\(999\) | 7.85382 | + | 7.67818i | 0.248484 | + | 0.242927i |
(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 | 441.2.bh.a.20.2 | ✓ | 648 | |
9.5 | odd | 6 | inner | 441.2.bh.a.167.2 | yes | 648 | |
49.27 | odd | 14 | inner | 441.2.bh.a.272.2 | yes | 648 | |
441.419 | even | 42 | inner | 441.2.bh.a.419.2 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bh.a.20.2 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.bh.a.167.2 | yes | 648 | 9.5 | odd | 6 | inner | |
441.2.bh.a.272.2 | yes | 648 | 49.27 | odd | 14 | inner | |
441.2.bh.a.419.2 | yes | 648 | 441.419 | even | 42 | inner |