Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.43 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.43 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.392465 | + | 1.35867i | −0.277515 | + | 0.960721i | ||||
\(3\) | −1.36990 | + | 1.05989i | −0.790914 | + | 0.611927i | ||||
\(4\) | −1.69194 | − | 1.06646i | −0.845971 | − | 0.533229i | ||||
\(5\) | −0.991758 | + | 0.652289i | −0.443527 | + | 0.291713i | −0.751562 | − | 0.659663i | \(-0.770699\pi\) |
0.308034 | + | 0.951375i | \(0.400329\pi\) | |||||||
\(6\) | −0.902395 | − | 2.27721i | −0.368401 | − | 0.929667i | ||||
\(7\) | −0.145385 | − | 0.137164i | −0.0549505 | − | 0.0518431i | 0.658277 | − | 0.752776i | \(-0.271286\pi\) |
−0.713227 | + | 0.700933i | \(0.752767\pi\) | |||||||
\(8\) | 2.11299 | − | 1.88023i | 0.747054 | − | 0.664763i | ||||
\(9\) | 0.753269 | − | 2.90389i | 0.251090 | − | 0.967964i | ||||
\(10\) | −0.497012 | − | 1.60347i | −0.157169 | − | 0.507061i | ||||
\(11\) | −0.414045 | − | 0.824431i | −0.124839 | − | 0.248575i | 0.822528 | − | 0.568725i | \(-0.192563\pi\) |
−0.947367 | + | 0.320150i | \(0.896267\pi\) | |||||||
\(12\) | 3.44812 | − | 0.332327i | 0.995388 | − | 0.0959345i | ||||
\(13\) | 5.37106 | − | 2.31685i | 1.48966 | − | 0.642578i | 0.513202 | − | 0.858268i | \(-0.328459\pi\) |
0.976462 | + | 0.215690i | \(0.0692000\pi\) | |||||||
\(14\) | 0.243419 | − | 0.143698i | 0.0650564 | − | 0.0384049i | ||||
\(15\) | 0.667257 | − | 1.94473i | 0.172285 | − | 0.502126i | ||||
\(16\) | 1.72533 | + | 3.60877i | 0.431333 | + | 0.902193i | ||||
\(17\) | −3.81791 | − | 4.55001i | −0.925979 | − | 1.10354i | −0.994379 | − | 0.105881i | \(-0.966234\pi\) |
0.0683994 | − | 0.997658i | \(-0.478211\pi\) | |||||||
\(18\) | 3.64978 | + | 2.16312i | 0.860262 | + | 0.509852i | ||||
\(19\) | 3.38690 | + | 2.84195i | 0.777008 | + | 0.651987i | 0.942493 | − | 0.334225i | \(-0.108475\pi\) |
−0.165485 | + | 0.986212i | \(0.552919\pi\) | |||||||
\(20\) | 2.37364 | − | 0.0459673i | 0.530761 | − | 0.0102786i | ||||
\(21\) | 0.344543 | + | 0.0338090i | 0.0751853 | + | 0.00737773i | ||||
\(22\) | 1.28262 | − | 0.238988i | 0.273456 | − | 0.0509523i | ||||
\(23\) | −2.12189 | − | 2.24907i | −0.442445 | − | 0.468964i | 0.467320 | − | 0.884088i | \(-0.345220\pi\) |
−0.909765 | + | 0.415124i | \(0.863738\pi\) | |||||||
\(24\) | −0.901749 | + | 4.81527i | −0.184069 | + | 0.982913i | ||||
\(25\) | −1.42230 | + | 3.29725i | −0.284459 | + | 0.659451i | ||||
\(26\) | 1.03987 | + | 8.20675i | 0.203935 | + | 1.60948i | ||||
\(27\) | 2.04590 | + | 4.77643i | 0.393733 | + | 0.919225i | ||||
\(28\) | 0.0997039 | + | 0.387121i | 0.0188423 | + | 0.0731590i | ||||
\(29\) | 4.36017 | − | 0.509631i | 0.809664 | − | 0.0946361i | 0.298820 | − | 0.954310i | \(-0.403407\pi\) |
0.510844 | + | 0.859673i | \(0.329333\pi\) | |||||||
\(30\) | 2.38036 | + | 1.66982i | 0.434592 | + | 0.304866i | ||||
\(31\) | 0.0796145 | + | 0.335920i | 0.0142992 | + | 0.0603330i | 0.979727 | − | 0.200339i | \(-0.0642042\pi\) |
−0.965428 | + | 0.260672i | \(0.916056\pi\) | |||||||
\(32\) | −5.58024 | + | 0.927833i | −0.986457 | + | 0.164019i | ||||
\(33\) | 1.44101 | + | 0.690549i | 0.250847 | + | 0.120209i | ||||
\(34\) | 7.68034 | − | 3.40154i | 1.31717 | − | 0.583359i | ||||
\(35\) | 0.233658 | + | 0.0412001i | 0.0394954 | + | 0.00696410i | ||||
\(36\) | −4.37137 | + | 4.10989i | −0.728561 | + | 0.684981i | ||||
\(37\) | 6.35133 | − | 1.11991i | 1.04415 | − | 0.184112i | 0.374837 | − | 0.927091i | \(-0.377699\pi\) |
0.669315 | + | 0.742979i | \(0.266588\pi\) | |||||||
\(38\) | −5.19049 | + | 3.48630i | −0.842009 | + | 0.565552i | ||||
\(39\) | −4.90223 | + | 8.86659i | −0.784984 | + | 1.41979i | ||||
\(40\) | −0.869116 | + | 3.24302i | −0.137419 | + | 0.512766i | ||||
\(41\) | −3.38407 | − | 2.51935i | −0.528504 | − | 0.393456i | 0.299571 | − | 0.954074i | \(-0.403156\pi\) |
−0.828075 | + | 0.560618i | \(0.810564\pi\) | |||||||
\(42\) | −0.181156 | + | 0.454849i | −0.0279530 | + | 0.0701847i | ||||
\(43\) | −0.194060 | + | 3.33187i | −0.0295938 | + | 0.508106i | 0.950644 | + | 0.310284i | \(0.100424\pi\) |
−0.980238 | + | 0.197823i | \(0.936613\pi\) | |||||||
\(44\) | −0.178682 | + | 1.83645i | −0.0269373 | + | 0.276855i | ||||
\(45\) | 1.14712 | + | 3.37131i | 0.171002 | + | 0.502565i | ||||
\(46\) | 3.88851 | − | 2.00026i | 0.573329 | − | 0.294922i | ||||
\(47\) | 9.46275 | + | 2.24271i | 1.38028 | + | 0.327133i | 0.852714 | − | 0.522378i | \(-0.174955\pi\) |
0.527570 | + | 0.849512i | \(0.323103\pi\) | |||||||
\(48\) | −6.18844 | − | 3.11500i | −0.893224 | − | 0.449612i | ||||
\(49\) | −0.404691 | − | 6.94827i | −0.0578130 | − | 0.992611i | ||||
\(50\) | −3.92166 | − | 3.22648i | −0.554607 | − | 0.456294i | ||||
\(51\) | 10.0527 | + | 2.18651i | 1.40766 | + | 0.306172i | ||||
\(52\) | −11.5583 | − | 1.80804i | −1.60285 | − | 0.250730i | ||||
\(53\) | 3.23995 | + | 5.61176i | 0.445042 | + | 0.770835i | 0.998055 | − | 0.0623373i | \(-0.0198555\pi\) |
−0.553013 | + | 0.833172i | \(0.686522\pi\) | |||||||
\(54\) | −7.29252 | + | 0.905107i | −0.992386 | + | 0.123169i | ||||
\(55\) | 0.948400 | + | 0.547559i | 0.127882 | + | 0.0738328i | ||||
\(56\) | −0.565098 | − | 0.0164674i | −0.0755144 | − | 0.00220055i | ||||
\(57\) | −7.65187 | − | 0.303452i | −1.01351 | − | 0.0401932i | ||||
\(58\) | −1.01880 | + | 6.12403i | −0.133775 | + | 0.804124i | ||||
\(59\) | −0.664016 | + | 1.32216i | −0.0864475 | + | 0.172131i | −0.932702 | − | 0.360647i | \(-0.882556\pi\) |
0.846255 | + | 0.532778i | \(0.178852\pi\) | |||||||
\(60\) | −3.20293 | + | 2.57876i | −0.413496 | + | 0.332917i | ||||
\(61\) | 4.70697 | − | 1.40917i | 0.602665 | − | 0.180426i | 0.0290870 | − | 0.999577i | \(-0.490740\pi\) |
0.573578 | + | 0.819151i | \(0.305555\pi\) | |||||||
\(62\) | −0.487649 | − | 0.0236675i | −0.0619314 | − | 0.00300578i | ||||
\(63\) | −0.507824 | + | 0.318862i | −0.0639798 | + | 0.0401728i | ||||
\(64\) | 0.929439 | − | 7.94583i | 0.116180 | − | 0.993228i | ||||
\(65\) | −3.81553 | + | 5.80124i | −0.473259 | + | 0.719555i | ||||
\(66\) | −1.50377 | + | 1.68683i | −0.185101 | + | 0.207634i | ||||
\(67\) | −7.00601 | − | 0.818885i | −0.855921 | − | 0.100043i | −0.323197 | − | 0.946332i | \(-0.604758\pi\) |
−0.532724 | + | 0.846289i | \(0.678832\pi\) | |||||||
\(68\) | 1.60729 | + | 11.7700i | 0.194912 | + | 1.42732i | ||||
\(69\) | 5.29056 | + | 0.832043i | 0.636908 | + | 0.100166i | ||||
\(70\) | −0.147680 | + | 0.301293i | −0.0176511 | + | 0.0360114i | ||||
\(71\) | 5.08106 | + | 1.84935i | 0.603011 | + | 0.219478i | 0.625442 | − | 0.780270i | \(-0.284919\pi\) |
−0.0224316 | + | 0.999748i | \(0.507141\pi\) | |||||||
\(72\) | −3.86835 | − | 7.55221i | −0.455889 | − | 0.890037i | ||||
\(73\) | 15.3616 | − | 5.59117i | 1.79794 | − | 0.654398i | 0.799378 | − | 0.600828i | \(-0.205162\pi\) |
0.998564 | − | 0.0535695i | \(-0.0170599\pi\) | |||||||
\(74\) | −0.971094 | + | 9.06886i | −0.112887 | + | 1.05423i | ||||
\(75\) | −1.54632 | − | 6.02440i | −0.178553 | − | 0.695637i | ||||
\(76\) | −2.69962 | − | 8.42039i | −0.309668 | − | 0.965885i | ||||
\(77\) | −0.0528862 | + | 0.176652i | −0.00602694 | + | 0.0201314i | ||||
\(78\) | −10.1228 | − | 10.1403i | −1.14618 | − | 1.14816i | ||||
\(79\) | 11.0516 | − | 8.22759i | 1.24340 | − | 0.925676i | 0.244367 | − | 0.969683i | \(-0.421420\pi\) |
0.999031 | + | 0.0440068i | \(0.0140123\pi\) | |||||||
\(80\) | −4.06507 | − | 2.45361i | −0.454489 | − | 0.274322i | ||||
\(81\) | −7.86517 | − | 4.37482i | −0.873908 | − | 0.486091i | ||||
\(82\) | 4.75108 | − | 3.60907i | 0.524670 | − | 0.398555i | ||||
\(83\) | −5.74970 | + | 4.28049i | −0.631112 | + | 0.469845i | −0.864564 | − | 0.502523i | \(-0.832405\pi\) |
0.233452 | + | 0.972368i | \(0.424998\pi\) | |||||||
\(84\) | −0.546890 | − | 0.424643i | −0.0596706 | − | 0.0463324i | ||||
\(85\) | 6.75436 | + | 2.02212i | 0.732614 | + | 0.219330i | ||||
\(86\) | −4.45074 | − | 1.57131i | −0.479936 | − | 0.169438i | ||||
\(87\) | −5.43286 | + | 5.31945i | −0.582464 | + | 0.570304i | ||||
\(88\) | −2.42500 | − | 0.963512i | −0.258505 | − | 0.102711i | ||||
\(89\) | −1.72077 | − | 4.72778i | −0.182402 | − | 0.501144i | 0.814468 | − | 0.580209i | \(-0.197029\pi\) |
−0.996870 | + | 0.0790644i | \(0.974807\pi\) | |||||||
\(90\) | −5.03068 | + | 0.235427i | −0.530280 | + | 0.0248162i | ||||
\(91\) | −1.09866 | − | 0.399880i | −0.115171 | − | 0.0419188i | ||||
\(92\) | 1.19157 | + | 6.06821i | 0.124230 | + | 0.632655i | ||||
\(93\) | −0.465102 | − | 0.375795i | −0.0482288 | − | 0.0389682i | ||||
\(94\) | −6.76090 | + | 11.9765i | −0.697333 | + | 1.23528i | ||||
\(95\) | −5.21275 | − | 0.609283i | −0.534817 | − | 0.0625112i | ||||
\(96\) | 6.66099 | − | 7.18548i | 0.679835 | − | 0.733365i | ||||
\(97\) | −6.92652 | − | 4.55564i | −0.703282 | − | 0.462556i | 0.146828 | − | 0.989162i | \(-0.453094\pi\) |
−0.850109 | + | 0.526607i | \(0.823464\pi\) | |||||||
\(98\) | 9.59920 | + | 2.17712i | 0.969666 | + | 0.219922i | ||||
\(99\) | −2.70595 | + | 0.581323i | −0.271958 | + | 0.0584252i | ||||
\(100\) | 5.92283 | − | 4.06194i | 0.592283 | − | 0.406194i | ||||
\(101\) | −2.46593 | − | 8.23679i | −0.245370 | − | 0.819592i | −0.988601 | − | 0.150557i | \(-0.951893\pi\) |
0.743232 | − | 0.669034i | \(-0.233292\pi\) | |||||||
\(102\) | −6.91606 | + | 12.8001i | −0.684792 | + | 1.26740i | ||||
\(103\) | −6.51287 | + | 12.9682i | −0.641732 | + | 1.27779i | 0.303946 | + | 0.952689i | \(0.401696\pi\) |
−0.945678 | + | 0.325104i | \(0.894601\pi\) | |||||||
\(104\) | 6.99277 | − | 14.9943i | 0.685697 | − | 1.47031i | ||||
\(105\) | −0.363756 | + | 0.191211i | −0.0354989 | + | 0.0186603i | ||||
\(106\) | −8.89608 | + | 2.19959i | −0.864063 | + | 0.213643i | ||||
\(107\) | 6.31380 | + | 3.64527i | 0.610378 | + | 0.352402i | 0.773113 | − | 0.634268i | \(-0.218698\pi\) |
−0.162736 | + | 0.986670i | \(0.552032\pi\) | |||||||
\(108\) | 1.63232 | − | 10.2633i | 0.157070 | − | 0.987587i | ||||
\(109\) | 7.27335 | − | 4.19927i | 0.696661 | − | 0.402217i | −0.109442 | − | 0.993993i | \(-0.534906\pi\) |
0.806103 | + | 0.591776i | \(0.201573\pi\) | |||||||
\(110\) | −1.11616 | + | 1.07366i | −0.106422 | + | 0.102369i | ||||
\(111\) | −7.51372 | + | 8.26588i | −0.713171 | + | 0.784562i | ||||
\(112\) | 0.244155 | − | 0.761316i | 0.0230705 | − | 0.0719376i | ||||
\(113\) | 3.08043 | − | 0.179415i | 0.289782 | − | 0.0168779i | 0.0873620 | − | 0.996177i | \(-0.472156\pi\) |
0.202420 | + | 0.979299i | \(0.435119\pi\) | |||||||
\(114\) | 3.41538 | − | 10.2772i | 0.319880 | − | 0.962551i | ||||
\(115\) | 3.57145 | + | 0.846449i | 0.333039 | + | 0.0789318i | ||||
\(116\) | −7.92066 | − | 3.78768i | −0.735415 | − | 0.351677i | ||||
\(117\) | −2.68203 | − | 17.3422i | −0.247953 | − | 1.60329i | ||||
\(118\) | −1.53577 | − | 1.42108i | −0.141380 | − | 0.130821i | ||||
\(119\) | −0.0690291 | + | 1.18518i | −0.00632789 | + | 0.108646i | ||||
\(120\) | −2.24663 | − | 5.36378i | −0.205089 | − | 0.489644i | ||||
\(121\) | 6.06049 | − | 8.14065i | 0.550954 | − | 0.740059i | ||||
\(122\) | 0.0672728 | + | 6.94824i | 0.00609059 | + | 0.629064i | ||||
\(123\) | 7.30609 | − | 0.135479i | 0.658768 | − | 0.0122158i | ||||
\(124\) | 0.223542 | − | 0.653263i | 0.0200746 | − | 0.0586647i | ||||
\(125\) | −1.77083 | − | 10.0429i | −0.158388 | − | 0.898261i | ||||
\(126\) | −0.233923 | − | 0.815105i | −0.0208395 | − | 0.0726153i | ||||
\(127\) | 14.6041 | + | 2.57509i | 1.29590 | + | 0.228502i | 0.778719 | − | 0.627373i | \(-0.215870\pi\) |
0.517182 | + | 0.855876i | \(0.326981\pi\) | |||||||
\(128\) | 10.4309 | + | 4.38126i | 0.921974 | + | 0.387252i | ||||
\(129\) | −3.26558 | − | 4.77003i | −0.287518 | − | 0.419977i | ||||
\(130\) | −6.38447 | − | 7.46082i | −0.559955 | − | 0.654357i | ||||
\(131\) | −2.51312 | − | 10.6037i | −0.219572 | − | 0.926448i | −0.965496 | − | 0.260417i | \(-0.916140\pi\) |
0.745924 | − | 0.666031i | \(-0.232008\pi\) | |||||||
\(132\) | −1.70166 | − | 2.70514i | −0.148110 | − | 0.235452i | ||||
\(133\) | −0.102593 | − | 0.877738i | −0.00889593 | − | 0.0761095i | ||||
\(134\) | 3.86221 | − | 9.19744i | 0.333644 | − | 0.794538i | ||||
\(135\) | −5.14465 | − | 3.40254i | −0.442781 | − | 0.292844i | ||||
\(136\) | −16.6223 | − | 2.43555i | −1.42535 | − | 0.208847i | ||||
\(137\) | 16.8631 | + | 7.27402i | 1.44071 | + | 0.621461i | 0.965967 | − | 0.258664i | \(-0.0832821\pi\) |
0.474742 | + | 0.880125i | \(0.342541\pi\) | |||||||
\(138\) | −3.20683 | + | 6.86155i | −0.272983 | + | 0.584094i | ||||
\(139\) | 10.4197 | + | 11.0442i | 0.883786 | + | 0.936759i | 0.998394 | − | 0.0566521i | \(-0.0180426\pi\) |
−0.114608 | + | 0.993411i | \(0.536561\pi\) | |||||||
\(140\) | −0.351397 | − | 0.318894i | −0.0296985 | − | 0.0269515i | ||||
\(141\) | −15.3401 | + | 6.95717i | −1.29187 | + | 0.585899i | ||||
\(142\) | −4.50679 | + | 6.17765i | −0.378202 | + | 0.518417i | ||||
\(143\) | −4.13394 | − | 3.46879i | −0.345697 | − | 0.290075i | ||||
\(144\) | 11.7791 | − | 2.29181i | 0.981593 | − | 0.190984i | ||||
\(145\) | −3.99181 | + | 3.34952i | −0.331502 | + | 0.278163i | ||||
\(146\) | 1.56763 | + | 23.0656i | 0.129738 | + | 1.90893i | ||||
\(147\) | 7.91879 | + | 9.08953i | 0.653131 | + | 0.749692i | ||||
\(148\) | −11.9404 | − | 4.87860i | −0.981496 | − | 0.401019i | ||||
\(149\) | −2.57862 | − | 5.97792i | −0.211249 | − | 0.489730i | 0.779340 | − | 0.626601i | \(-0.215555\pi\) |
−0.990589 | + | 0.136871i | \(0.956295\pi\) | |||||||
\(150\) | 8.79201 | + | 0.263441i | 0.717865 | + | 0.0215099i | ||||
\(151\) | −10.4777 | − | 20.8629i | −0.852665 | − | 1.69780i | −0.705531 | − | 0.708680i | \(-0.749291\pi\) |
−0.147135 | − | 0.989116i | \(-0.547005\pi\) | |||||||
\(152\) | 12.5000 | − | 0.363165i | 1.01388 | − | 0.0294566i | ||||
\(153\) | −16.0886 | + | 7.65942i | −1.30069 | + | 0.619227i | ||||
\(154\) | −0.219255 | − | 0.141185i | −0.0176681 | − | 0.0113770i | ||||
\(155\) | −0.298075 | − | 0.281219i | −0.0239420 | − | 0.0225881i | ||||
\(156\) | 17.7501 | − | 9.77373i | 1.42115 | − | 0.782524i | ||||
\(157\) | 1.47356 | + | 2.24043i | 0.117603 | + | 0.178806i | 0.889492 | − | 0.456951i | \(-0.151058\pi\) |
−0.771889 | + | 0.635757i | \(0.780688\pi\) | |||||||
\(158\) | 6.84118 | + | 18.2444i | 0.544255 | + | 1.45145i | ||||
\(159\) | −10.3863 | − | 4.25358i | −0.823685 | − | 0.337331i | ||||
\(160\) | 4.92903 | − | 4.56012i | 0.389674 | − | 0.360509i | ||||
\(161\) | 0.618030i | 0.0487076i | ||||||||
\(162\) | 9.03073 | − | 8.96917i | 0.709521 | − | 0.704684i | ||||
\(163\) | −0.288878 | −0.0226267 | −0.0113133 | − | 0.999936i | \(-0.503601\pi\) | ||||
−0.0113133 | + | 0.999936i | \(0.503601\pi\) | |||||||
\(164\) | 3.03887 | + | 7.87157i | 0.237296 | + | 0.614666i | ||||
\(165\) | −1.87957 | + | 0.255096i | −0.146324 | + | 0.0198592i | ||||
\(166\) | −3.55920 | − | 9.49187i | −0.276247 | − | 0.736712i | ||||
\(167\) | −0.00324810 | + | 0.00213631i | −0.000251346 | + | 0.000165313i | −0.549635 | − | 0.835405i | \(-0.685233\pi\) |
0.549383 | + | 0.835570i | \(0.314863\pi\) | |||||||
\(168\) | 0.791583 | − | 0.576383i | 0.0610720 | − | 0.0444689i | ||||
\(169\) | 14.5593 | − | 15.4320i | 1.11995 | − | 1.18708i | ||||
\(170\) | −5.39824 | + | 8.38330i | −0.414026 | + | 0.642970i | ||||
\(171\) | 10.8039 | − | 7.69444i | 0.826198 | − | 0.588408i | ||||
\(172\) | 3.88164 | − | 5.43038i | 0.295972 | − | 0.414063i | ||||
\(173\) | 5.19693 | − | 2.61000i | 0.395115 | − | 0.198434i | −0.240137 | − | 0.970739i | \(-0.577192\pi\) |
0.635252 | + | 0.772305i | \(0.280896\pi\) | |||||||
\(174\) | −5.09513 | − | 9.46914i | −0.386261 | − | 0.717853i | ||||
\(175\) | 0.659046 | − | 0.284285i | 0.0498192 | − | 0.0214899i | ||||
\(176\) | 2.26082 | − | 2.91661i | 0.170415 | − | 0.219848i | ||||
\(177\) | −0.491710 | − | 2.51502i | −0.0369592 | − | 0.189040i | ||||
\(178\) | 7.09882 | − | 0.482462i | 0.532079 | − | 0.0361620i | ||||
\(179\) | −5.19785 | − | 6.19456i | −0.388506 | − | 0.463003i | 0.535974 | − | 0.844235i | \(-0.319945\pi\) |
−0.924480 | + | 0.381231i | \(0.875500\pi\) | |||||||
\(180\) | 1.65450 | − | 6.92741i | 0.123319 | − | 0.516338i | ||||
\(181\) | −5.39071 | + | 6.42440i | −0.400689 | + | 0.477522i | −0.928230 | − | 0.372007i | \(-0.878670\pi\) |
0.527541 | + | 0.849529i | \(0.323114\pi\) | |||||||
\(182\) | 0.974490 | − | 1.33577i | 0.0722340 | − | 0.0990142i | ||||
\(183\) | −4.95452 | + | 6.91930i | −0.366249 | + | 0.511489i | ||||
\(184\) | −8.71232 | − | 0.762614i | −0.642281 | − | 0.0562206i | ||||
\(185\) | −5.56847 | + | 5.25358i | −0.409402 | + | 0.386251i | ||||
\(186\) | 0.693116 | − | 0.484431i | 0.0508218 | − | 0.0355202i | ||||
\(187\) | −2.17038 | + | 5.03151i | −0.158714 | + | 0.367941i | ||||
\(188\) | −13.6187 | − | 13.8862i | −0.993243 | − | 1.01275i | ||||
\(189\) | 0.357711 | − | 0.975047i | 0.0260196 | − | 0.0709242i | ||||
\(190\) | 2.87364 | − | 6.84326i | 0.208476 | − | 0.496462i | ||||
\(191\) | 11.9618 | − | 1.39814i | 0.865527 | − | 0.101166i | 0.328270 | − | 0.944584i | \(-0.393534\pi\) |
0.537257 | + | 0.843418i | \(0.319460\pi\) | |||||||
\(192\) | 7.14846 | + | 11.8701i | 0.515895 | + | 0.856652i | ||||
\(193\) | −20.0301 | + | 4.74722i | −1.44180 | + | 0.341713i | −0.875792 | − | 0.482688i | \(-0.839660\pi\) |
−0.566006 | + | 0.824401i | \(0.691512\pi\) | |||||||
\(194\) | 8.90801 | − | 7.62289i | 0.639558 | − | 0.547291i | ||||
\(195\) | −0.921758 | − | 11.9912i | −0.0660085 | − | 0.858706i | ||||
\(196\) | −6.72533 | + | 12.1877i | −0.480381 | + | 0.870547i | ||||
\(197\) | −0.895447 | + | 5.07833i | −0.0637979 | + | 0.361816i | 0.936150 | + | 0.351601i | \(0.114363\pi\) |
−0.999948 | + | 0.0102149i | \(0.996748\pi\) | |||||||
\(198\) | 0.272167 | − | 3.90462i | 0.0193420 | − | 0.277489i | ||||
\(199\) | −5.00691 | + | 0.882854i | −0.354931 | + | 0.0625838i | −0.348271 | − | 0.937394i | \(-0.613231\pi\) |
−0.00665984 | + | 0.999978i | \(0.502120\pi\) | |||||||
\(200\) | 3.19431 | + | 9.64131i | 0.225872 | + | 0.681744i | ||||
\(201\) | 10.4655 | − | 6.30380i | 0.738178 | − | 0.444636i | ||||
\(202\) | 12.1588 | − | 0.117722i | 0.855493 | − | 0.00828287i | ||||
\(203\) | −0.703808 | − | 0.523966i | −0.0493977 | − | 0.0367752i | ||||
\(204\) | −14.6767 | − | 14.4202i | −1.02758 | − | 1.00962i | ||||
\(205\) | 4.99953 | + | 0.291189i | 0.349182 | + | 0.0203375i | ||||
\(206\) | −15.0633 | − | 13.9384i | −1.04951 | − | 0.971133i | ||||
\(207\) | −8.12942 | + | 4.46759i | −0.565034 | + | 0.310519i | ||||
\(208\) | 17.6278 | + | 15.3856i | 1.22227 | + | 1.06680i | ||||
\(209\) | 0.940660 | − | 3.96896i | 0.0650668 | − | 0.274538i | ||||
\(210\) | −0.117030 | − | 0.569266i | −0.00807585 | − | 0.0392831i | ||||
\(211\) | −1.13332 | − | 19.4583i | −0.0780207 | − | 1.33956i | −0.779288 | − | 0.626665i | \(-0.784419\pi\) |
0.701268 | − | 0.712898i | \(-0.252618\pi\) | |||||||
\(212\) | 0.502900 | − | 12.9501i | 0.0345393 | − | 0.889413i | ||||
\(213\) | −8.92067 | + | 2.85192i | −0.611234 | + | 0.195411i | ||||
\(214\) | −7.43065 | + | 7.14769i | −0.507949 | + | 0.488606i | ||||
\(215\) | −1.98089 | − | 3.43099i | −0.135095 | − | 0.233992i | ||||
\(216\) | 13.3038 | + | 6.24578i | 0.905207 | + | 0.424971i | ||||
\(217\) | 0.0345014 | − | 0.0597581i | 0.00234210 | − | 0.00405664i | ||||
\(218\) | 2.85086 | + | 11.5301i | 0.193085 | + | 0.780918i | ||||
\(219\) | −15.1179 | + | 23.9410i | −1.02157 | + | 1.61778i | ||||
\(220\) | −1.02069 | − | 1.93787i | −0.0688148 | − | 0.130651i | ||||
\(221\) | −31.0479 | − | 15.5928i | −2.08851 | − | 1.04889i | ||||
\(222\) | −8.28168 | − | 13.4527i | −0.555830 | − | 0.902887i | ||||
\(223\) | −17.3230 | + | 5.18618i | −1.16004 | + | 0.347292i | −0.808280 | − | 0.588799i | \(-0.799601\pi\) |
−0.351757 | + | 0.936091i | \(0.614416\pi\) | |||||||
\(224\) | 0.938551 | + | 0.630515i | 0.0627096 | + | 0.0421281i | ||||
\(225\) | 8.50350 | + | 6.61392i | 0.566900 | + | 0.440928i | ||||
\(226\) | −0.965198 | + | 4.25569i | −0.0642040 | + | 0.283084i | ||||
\(227\) | 2.46549 | − | 3.74860i | 0.163640 | − | 0.248803i | −0.744354 | − | 0.667785i | \(-0.767243\pi\) |
0.907995 | + | 0.418982i | \(0.137613\pi\) | |||||||
\(228\) | 12.6229 | + | 8.67382i | 0.835972 | + | 0.574438i | ||||
\(229\) | −1.66251 | + | 14.2236i | −0.109861 | + | 0.939925i | 0.820088 | + | 0.572237i | \(0.193924\pi\) |
−0.929950 | + | 0.367687i | \(0.880150\pi\) | |||||||
\(230\) | −2.55171 | + | 4.52020i | −0.168255 | + | 0.298053i | ||||
\(231\) | −0.114783 | − | 0.298050i | −0.00755216 | − | 0.0196103i | ||||
\(232\) | 8.25477 | − | 9.27499i | 0.541952 | − | 0.608933i | ||||
\(233\) | −9.97479 | + | 27.4055i | −0.653470 | + | 1.79539i | −0.0489549 | + | 0.998801i | \(0.515589\pi\) |
−0.604515 | + | 0.796594i | \(0.706633\pi\) | |||||||
\(234\) | 24.6148 | + | 3.16223i | 1.60912 | + | 0.206722i | ||||
\(235\) | −10.8476 | + | 3.94822i | −0.707623 | + | 0.257554i | ||||
\(236\) | 2.53351 | − | 1.52888i | 0.164917 | − | 0.0995216i | ||||
\(237\) | −6.41924 | + | 22.9844i | −0.416975 | + | 1.49300i | ||||
\(238\) | −1.58318 | − | 0.558932i | −0.102622 | − | 0.0362302i | ||||
\(239\) | 4.57863 | − | 15.2937i | 0.296167 | − | 0.989267i | −0.672332 | − | 0.740250i | \(-0.734707\pi\) |
0.968499 | − | 0.249017i | \(-0.0801075\pi\) | |||||||
\(240\) | 8.16931 | − | 0.947323i | 0.527327 | − | 0.0611495i | ||||
\(241\) | 1.25657 | + | 1.68787i | 0.0809431 | + | 0.108725i | 0.840750 | − | 0.541423i | \(-0.182114\pi\) |
−0.759807 | + | 0.650148i | \(0.774707\pi\) | |||||||
\(242\) | 8.68189 | + | 11.4291i | 0.558093 | + | 0.734691i | ||||
\(243\) | 15.4114 | − | 2.34313i | 0.988639 | − | 0.150312i | ||||
\(244\) | −9.46674 | − | 2.63554i | −0.606046 | − | 0.168723i | ||||
\(245\) | 4.93364 | + | 6.62703i | 0.315199 | + | 0.423385i | ||||
\(246\) | −2.68332 | + | 9.97969i | −0.171082 | + | 0.636282i | ||||
\(247\) | 24.7756 | + | 7.41732i | 1.57643 | + | 0.471953i | ||||
\(248\) | 0.799833 | + | 0.560101i | 0.0507894 | + | 0.0355665i | ||||
\(249\) | 3.33968 | − | 11.9579i | 0.211644 | − | 0.757802i | ||||
\(250\) | 14.3399 | + | 1.53551i | 0.906933 | + | 0.0971145i | ||||
\(251\) | 5.02625 | + | 13.8095i | 0.317254 | + | 0.871648i | 0.991141 | + | 0.132814i | \(0.0424012\pi\) |
−0.673887 | + | 0.738834i | \(0.735377\pi\) | |||||||
\(252\) | 1.19926 | + | 0.00207692i | 0.0755463 | + | 0.000130834i | ||||
\(253\) | −0.975648 | + | 2.68057i | −0.0613385 | + | 0.168526i | ||||
\(254\) | −9.23027 | + | 18.8314i | −0.579159 | + | 1.18159i | ||||
\(255\) | −11.3961 | + | 4.38877i | −0.713648 | + | 0.274835i | ||||
\(256\) | −10.0464 | + | 12.4527i | −0.627903 | + | 0.778292i | ||||
\(257\) | −2.57267 | + | 22.0106i | −0.160479 | + | 1.37298i | 0.637571 | + | 0.770392i | \(0.279939\pi\) |
−0.798050 | + | 0.602592i | \(0.794135\pi\) | |||||||
\(258\) | 7.76249 | − | 2.56475i | 0.483272 | − | 0.159675i | ||||
\(259\) | −1.07700 | − | 0.708355i | −0.0669216 | − | 0.0440151i | ||||
\(260\) | 12.6424 | − | 5.74625i | 0.784050 | − | 0.356367i | ||||
\(261\) | 1.80447 | − | 13.0454i | 0.111694 | − | 0.807487i | ||||
\(262\) | 15.3932 | + | 0.747092i | 0.950993 | + | 0.0461555i | ||||
\(263\) | −6.84239 | − | 22.8552i | −0.421920 | − | 1.40931i | −0.859963 | − | 0.510357i | \(-0.829513\pi\) |
0.438043 | − | 0.898954i | \(-0.355672\pi\) | |||||||
\(264\) | 4.34322 | − | 1.25031i | 0.267307 | − | 0.0769512i | ||||
\(265\) | −6.87374 | − | 3.45212i | −0.422251 | − | 0.212062i | ||||
\(266\) | 1.23282 | + | 0.205092i | 0.0755888 | + | 0.0125750i | ||||
\(267\) | 7.36822 | + | 4.65278i | 0.450928 | + | 0.284745i | ||||
\(268\) | 10.9805 | + | 8.85712i | 0.670738 | + | 0.541035i | ||||
\(269\) | 3.16204 | − | 5.47681i | 0.192793 | − | 0.333927i | −0.753382 | − | 0.657583i | \(-0.771579\pi\) |
0.946175 | + | 0.323656i | \(0.104912\pi\) | |||||||
\(270\) | 6.64202 | − | 5.65448i | 0.404220 | − | 0.344120i | ||||
\(271\) | −11.4412 | + | 6.60560i | −0.695006 | + | 0.401262i | −0.805485 | − | 0.592617i | \(-0.798095\pi\) |
0.110479 | + | 0.993878i | \(0.464762\pi\) | |||||||
\(272\) | 9.83277 | − | 21.6282i | 0.596199 | − | 1.31141i | ||||
\(273\) | 1.92889 | − | 0.616663i | 0.116742 | − | 0.0373221i | ||||
\(274\) | −16.5011 | + | 20.0565i | −0.996870 | + | 1.21166i | ||||
\(275\) | 3.30725 | − | 0.192626i | 0.199435 | − | 0.0116158i | ||||
\(276\) | −8.06398 | − | 7.04993i | −0.485394 | − | 0.424356i | ||||
\(277\) | 2.16428 | − | 9.13180i | 0.130039 | − | 0.548677i | −0.868552 | − | 0.495599i | \(-0.834949\pi\) |
0.998590 | − | 0.0530779i | \(-0.0169032\pi\) | |||||||
\(278\) | −19.0948 | + | 9.82239i | −1.14523 | + | 0.589108i | ||||
\(279\) | 1.03545 | + | 0.0218462i | 0.0619905 | + | 0.00130790i | ||||
\(280\) | 0.571182 | − | 0.352276i | 0.0341346 | − | 0.0210525i | ||||
\(281\) | −13.2889 | − | 0.773989i | −0.792748 | − | 0.0461723i | −0.343009 | − | 0.939332i | \(-0.611446\pi\) |
−0.449739 | + | 0.893160i | \(0.648483\pi\) | |||||||
\(282\) | −3.43201 | − | 23.5725i | −0.204373 | − | 1.40372i | ||||
\(283\) | −8.26403 | + | 11.1005i | −0.491246 | + | 0.659857i | −0.976751 | − | 0.214376i | \(-0.931228\pi\) |
0.485505 | + | 0.874234i | \(0.338636\pi\) | |||||||
\(284\) | −6.62460 | − | 8.54774i | −0.393097 | − | 0.507215i | ||||
\(285\) | 7.78674 | − | 4.69028i | 0.461247 | − | 0.277828i | ||||
\(286\) | 6.33535 | − | 4.25526i | 0.374617 | − | 0.251619i | ||||
\(287\) | 0.146431 | + | 0.830450i | 0.00864353 | + | 0.0490199i | ||||
\(288\) | −1.50910 | + | 16.9033i | −0.0889245 | + | 0.996038i | ||||
\(289\) | −3.17412 | + | 18.0013i | −0.186713 | + | 1.05890i | ||||
\(290\) | −2.98423 | − | 6.73810i | −0.175240 | − | 0.395675i | ||||
\(291\) | 14.3171 | − | 1.10055i | 0.839286 | − | 0.0645157i | ||||
\(292\) | −31.9537 | − | 6.92259i | −1.86995 | − | 0.405114i | ||||
\(293\) | −28.2998 | + | 6.70718i | −1.65329 | + | 0.391838i | −0.948300 | − | 0.317377i | \(-0.897198\pi\) |
−0.704993 | + | 0.709214i | \(0.749050\pi\) | |||||||
\(294\) | −15.4575 | + | 7.19165i | −0.901499 | + | 0.419426i | ||||
\(295\) | −0.203891 | − | 1.74440i | −0.0118710 | − | 0.101563i | ||||
\(296\) | 11.3146 | − | 14.3083i | 0.657647 | − | 0.831656i | ||||
\(297\) | 3.09074 | − | 3.66436i | 0.179343 | − | 0.212628i | ||||
\(298\) | 9.13401 | − | 1.15736i | 0.529119 | − | 0.0670439i | ||||
\(299\) | −16.6076 | − | 7.16381i | −0.960441 | − | 0.414294i | ||||
\(300\) | −3.80849 | + | 11.8420i | −0.219883 | + | 0.683699i | ||||
\(301\) | 0.485227 | − | 0.457788i | 0.0279680 | − | 0.0263865i | ||||
\(302\) | 32.4578 | − | 6.04777i | 1.86774 | − | 0.348010i | ||||
\(303\) | 12.1082 | + | 8.66999i | 0.695597 | + | 0.498078i | ||||
\(304\) | −4.41240 | + | 17.1258i | −0.253068 | + | 0.982234i | ||||
\(305\) | −3.74898 | + | 4.46786i | −0.214666 | + | 0.255829i | ||||
\(306\) | −4.09235 | − | 24.8651i | −0.233944 | − | 1.42145i | ||||
\(307\) | −2.92274 | + | 2.45247i | −0.166809 | + | 0.139970i | −0.722371 | − | 0.691506i | \(-0.756948\pi\) |
0.555562 | + | 0.831475i | \(0.312503\pi\) | |||||||
\(308\) | 0.277873 | − | 0.242484i | 0.0158333 | − | 0.0138168i | ||||
\(309\) | −4.82285 | − | 24.6681i | −0.274362 | − | 1.40332i | ||||
\(310\) | 0.499067 | − | 0.294616i | 0.0283451 | − | 0.0167330i | ||||
\(311\) | 7.65351 | + | 17.7428i | 0.433991 | + | 1.00610i | 0.985149 | + | 0.171703i | \(0.0549270\pi\) |
−0.551158 | + | 0.834401i | \(0.685814\pi\) | |||||||
\(312\) | 6.31291 | + | 27.9523i | 0.357398 | + | 1.58249i | ||||
\(313\) | 17.7325 | − | 8.90562i | 1.00230 | − | 0.503375i | 0.129568 | − | 0.991571i | \(-0.458641\pi\) |
0.872735 | + | 0.488195i | \(0.162345\pi\) | |||||||
\(314\) | −3.62232 | + | 1.12278i | −0.204419 | + | 0.0633620i | ||||
\(315\) | 0.295648 | − | 0.647482i | 0.0166579 | − | 0.0364815i | ||||
\(316\) | −27.4730 | + | 2.13456i | −1.54548 | + | 0.120079i | ||||
\(317\) | 6.36884 | − | 6.75057i | 0.357709 | − | 0.379150i | −0.523380 | − | 0.852099i | \(-0.675329\pi\) |
0.881090 | + | 0.472949i | \(0.156811\pi\) | |||||||
\(318\) | 9.85544 | − | 12.4421i | 0.552666 | − | 0.697717i | ||||
\(319\) | −2.22546 | − | 3.38365i | −0.124602 | − | 0.189448i | ||||
\(320\) | 4.26120 | + | 8.48660i | 0.238208 | + | 0.474415i | ||||
\(321\) | −12.5129 | + | 1.69826i | −0.698400 | + | 0.0947874i | ||||
\(322\) | −0.839696 | − | 0.242555i | −0.0467944 | − | 0.0135171i | ||||
\(323\) | − | 26.2607i | − | 1.46118i | ||||||
\(324\) | 8.64185 | + | 15.7898i | 0.480103 | + | 0.877212i | ||||
\(325\) | 21.0050i | 1.16515i | ||||||||
\(326\) | 0.113375 | − | 0.392488i | 0.00627924 | − | 0.0217379i | ||||
\(327\) | −5.51302 | + | 13.4615i | −0.304871 | + | 0.744425i | ||||
\(328\) | −11.8875 | + | 1.03950i | −0.656376 | + | 0.0573965i | ||||
\(329\) | −1.06813 | − | 1.62401i | −0.0588877 | − | 0.0895344i | ||||
\(330\) | 0.391075 | − | 2.65382i | 0.0215280 | − | 0.146088i | ||||
\(331\) | −21.6557 | + | 22.9537i | −1.19030 | + | 1.26165i | −0.233030 | + | 0.972470i | \(0.574864\pi\) |
−0.957275 | + | 0.289179i | \(0.906618\pi\) | |||||||
\(332\) | 14.2931 | − | 1.11053i | 0.784437 | − | 0.0609483i | ||||
\(333\) | 1.53216 | − | 19.2872i | 0.0839618 | − | 1.05693i | ||||
\(334\) | −0.00162776 | − | 0.00525151i | −8.90673e−5 | − | 0.000287350i | ||||
\(335\) | 7.48241 | − | 3.75781i | 0.408808 | − | 0.205311i | ||||
\(336\) | 0.472442 | + | 1.30171i | 0.0257738 | + | 0.0710139i | ||||
\(337\) | −3.75786 | − | 8.71169i | −0.204703 | − | 0.474556i | 0.784677 | − | 0.619905i | \(-0.212829\pi\) |
−0.989380 | + | 0.145349i | \(0.953570\pi\) | |||||||
\(338\) | 15.2529 | + | 25.8378i | 0.829647 | + | 1.40539i | ||||
\(339\) | −4.02973 | + | 3.51069i | −0.218865 | + | 0.190675i | ||||
\(340\) | −9.27148 | − | 10.6246i | −0.502817 | − | 0.576198i | ||||
\(341\) | 0.243979 | − | 0.204723i | 0.0132122 | − | 0.0110863i | ||||
\(342\) | 6.21399 | + | 17.6987i | 0.336014 | + | 0.957038i | ||||
\(343\) | −1.79357 | + | 2.13749i | −0.0968435 | + | 0.115414i | ||||
\(344\) | 5.85466 | + | 7.40509i | 0.315662 | + | 0.399256i | ||||
\(345\) | −5.78968 | + | 2.62579i | −0.311706 | + | 0.141368i | ||||
\(346\) | 1.50650 | + | 8.08523i | 0.0809897 | + | 0.434664i | ||||
\(347\) | 18.9455 | − | 17.8741i | 1.01705 | − | 0.959534i | 0.0178592 | − | 0.999841i | \(-0.494315\pi\) |
0.999187 | + | 0.0403066i | \(0.0128335\pi\) | |||||||
\(348\) | 14.8650 | − | 3.20627i | 0.796850 | − | 0.171874i | ||||
\(349\) | 17.1615 | + | 7.40275i | 0.918634 | + | 0.396260i | 0.802280 | − | 0.596948i | \(-0.203620\pi\) |
0.116354 | + | 0.993208i | \(0.462879\pi\) | |||||||
\(350\) | 0.127595 | + | 1.00699i | 0.00682023 | + | 0.0538261i | ||||
\(351\) | 22.0549 | + | 20.9145i | 1.17720 | + | 1.11633i | ||||
\(352\) | 3.07541 | + | 4.21636i | 0.163920 | + | 0.224733i | ||||
\(353\) | 0.225940 | + | 1.93304i | 0.0120256 | + | 0.102886i | 0.997918 | − | 0.0644943i | \(-0.0205434\pi\) |
−0.985892 | + | 0.167380i | \(0.946469\pi\) | |||||||
\(354\) | 3.61005 | + | 0.318989i | 0.191872 | + | 0.0169540i | ||||
\(355\) | −6.24549 | + | 1.48021i | −0.331476 | + | 0.0785613i | ||||
\(356\) | −2.13054 | + | 9.83427i | −0.112918 | + | 0.521215i | ||||
\(357\) | −1.16160 | − | 1.69675i | −0.0614785 | − | 0.0898016i | ||||
\(358\) | 10.4563 | − | 4.63099i | 0.552633 | − | 0.244755i | ||||
\(359\) | 3.29090 | − | 18.6636i | 0.173687 | − | 0.985029i | −0.765961 | − | 0.642887i | \(-0.777736\pi\) |
0.939648 | − | 0.342142i | \(-0.111152\pi\) | |||||||
\(360\) | 8.76269 | + | 4.96668i | 0.461834 | + | 0.261767i | ||||
\(361\) | 0.0951128 | + | 0.539411i | 0.00500593 | + | 0.0283901i | ||||
\(362\) | −6.61294 | − | 9.84553i | −0.347568 | − | 0.517470i | ||||
\(363\) | 0.325906 | + | 17.5754i | 0.0171056 | + | 0.922467i | ||||
\(364\) | 1.43242 | + | 1.84825i | 0.0750790 | + | 0.0968746i | ||||
\(365\) | −11.5879 | + | 15.5653i | −0.606541 | + | 0.814726i | ||||
\(366\) | −7.45653 | − | 9.44712i | −0.389759 | − | 0.493809i | ||||
\(367\) | −31.9911 | − | 1.86327i | −1.66992 | − | 0.0972620i | −0.803089 | − | 0.595859i | \(-0.796812\pi\) |
−0.866834 | + | 0.498597i | \(0.833849\pi\) | |||||||
\(368\) | 4.45542 | − | 11.5378i | 0.232255 | − | 0.601451i | ||||
\(369\) | −9.86504 | + | 7.92924i | −0.513553 | + | 0.412780i | ||||
\(370\) | −4.95243 | − | 9.62754i | −0.257464 | − | 0.500512i | ||||
\(371\) | 0.298690 | − | 1.26027i | 0.0155072 | − | 0.0654301i | ||||
\(372\) | 0.386156 | + | 1.13184i | 0.0200212 | + | 0.0586829i | ||||
\(373\) | 5.01685 | − | 0.292198i | 0.259763 | − | 0.0151295i | 0.0722308 | − | 0.997388i | \(-0.476988\pi\) |
0.187532 | + | 0.982258i | \(0.439951\pi\) | |||||||
\(374\) | −5.98434 | − | 4.92352i | −0.309443 | − | 0.254589i | ||||
\(375\) | 13.0702 | + | 11.8809i | 0.674941 | + | 0.613525i | ||||
\(376\) | 24.2115 | − | 13.0534i | 1.24861 | − | 0.673175i | ||||
\(377\) | 22.2380 | − | 12.8391i | 1.14532 | − | 0.661248i | ||||
\(378\) | 1.18437 | + | 0.868681i | 0.0609176 | + | 0.0446802i | ||||
\(379\) | 10.0296 | − | 17.3718i | 0.515186 | − | 0.892329i | −0.484658 | − | 0.874704i | \(-0.661056\pi\) |
0.999845 | − | 0.0176255i | \(-0.00561065\pi\) | |||||||
\(380\) | 8.16990 | + | 6.59005i | 0.419107 | + | 0.338063i | ||||
\(381\) | −22.7354 | + | 11.9511i | −1.16477 | + | 0.612271i | ||||
\(382\) | −2.79500 | + | 16.8008i | −0.143005 | + | 0.859606i | ||||
\(383\) | −18.8476 | − | 9.46564i | −0.963069 | − | 0.483671i | −0.103466 | − | 0.994633i | \(-0.532993\pi\) |
−0.859604 | + | 0.510962i | \(0.829289\pi\) | |||||||
\(384\) | −18.9330 | + | 5.05375i | −0.966172 | + | 0.257898i | ||||
\(385\) | −0.0627781 | − | 0.209693i | −0.00319947 | − | 0.0106870i | ||||
\(386\) | 1.41124 | − | 29.0773i | 0.0718302 | − | 1.48000i | ||||
\(387\) | 9.52922 | + | 3.07333i | 0.484398 | + | 0.156226i | ||||
\(388\) | 6.86086 | + | 15.0947i | 0.348308 | + | 0.766319i | ||||
\(389\) | 26.8432 | + | 17.6550i | 1.36100 | + | 0.895146i | 0.999310 | − | 0.0371516i | \(-0.0118284\pi\) |
0.361693 | + | 0.932297i | \(0.382199\pi\) | |||||||
\(390\) | 16.6537 | + | 3.45376i | 0.843295 | + | 0.174888i | ||||
\(391\) | −2.13211 | + | 18.2414i | −0.107826 | + | 0.922507i | ||||
\(392\) | −13.9195 | − | 13.9207i | −0.703040 | − | 0.703102i | ||||
\(393\) | 14.6815 | + | 11.8624i | 0.740582 | + | 0.598379i | ||||
\(394\) | −6.54832 | − | 3.20968i | −0.329899 | − | 0.161701i | ||||
\(395\) | −5.59371 | + | 15.3686i | −0.281450 | + | 0.773278i | ||||
\(396\) | 5.19826 | + | 1.90221i | 0.261222 | + | 0.0955898i | ||||
\(397\) | 10.4674 | + | 28.7589i | 0.525344 | + | 1.44337i | 0.864497 | + | 0.502639i | \(0.167637\pi\) |
−0.339153 | + | 0.940731i | \(0.610140\pi\) | |||||||
\(398\) | 0.765538 | − | 7.14921i | 0.0383729 | − | 0.358357i | ||||
\(399\) | 1.07085 | + | 1.09368i | 0.0536094 | + | 0.0547524i | ||||
\(400\) | −14.3530 | + | 0.556122i | −0.717649 | + | 0.0278061i | ||||
\(401\) | 0.236379 | + | 0.0707673i | 0.0118042 | + | 0.00353395i | 0.292700 | − | 0.956204i | \(-0.405446\pi\) |
−0.280896 | + | 0.959738i | \(0.590631\pi\) | |||||||
\(402\) | 4.45742 | + | 16.6931i | 0.222316 | + | 0.832577i | ||||
\(403\) | 1.20589 | + | 1.61979i | 0.0600696 | + | 0.0806875i | ||||
\(404\) | −4.61198 | + | 16.5660i | −0.229455 | + | 0.824189i | ||||
\(405\) | 10.6540 | − | 0.791604i | 0.529401 | − | 0.0393351i | ||||
\(406\) | 0.988114 | − | 0.750601i | 0.0490393 | − | 0.0372517i | ||||
\(407\) | −3.55302 | − | 4.77254i | −0.176117 | − | 0.236566i | ||||
\(408\) | 25.3523 | − | 14.2813i | 1.25513 | − | 0.707030i | ||||
\(409\) | 4.29854 | − | 14.3581i | 0.212549 | − | 0.709963i | −0.783519 | − | 0.621368i | \(-0.786577\pi\) |
0.996068 | − | 0.0885947i | \(-0.0282376\pi\) | |||||||
\(410\) | −2.35777 | + | 6.67840i | −0.116442 | + | 0.329823i | ||||
\(411\) | −30.8104 | + | 7.90829i | −1.51977 | + | 0.390087i | ||||
\(412\) | 24.8494 | − | 14.9957i | 1.22424 | − | 0.738786i | ||||
\(413\) | 0.277892 | − | 0.101144i | 0.0136741 | − | 0.00497698i | ||||
\(414\) | −2.87944 | − | 12.7985i | −0.141517 | − | 0.629014i | ||||
\(415\) | 2.91019 | − | 7.99568i | 0.142856 | − | 0.392493i | ||||
\(416\) | −27.8222 | + | 17.9120i | −1.36409 | + | 0.878209i | ||||
\(417\) | −25.9796 | − | 4.08580i | −1.27223 | − | 0.200082i | ||||
\(418\) | 5.02331 | + | 2.83572i | 0.245698 | + | 0.138700i | ||||
\(419\) | −0.467733 | + | 4.00171i | −0.0228503 | + | 0.195497i | −0.999842 | − | 0.0177811i | \(-0.994340\pi\) |
0.976992 | + | 0.213278i | \(0.0684139\pi\) | |||||||
\(420\) | 0.819372 | + | 0.0644125i | 0.0399813 | + | 0.00314301i | ||||
\(421\) | −15.7036 | + | 23.8762i | −0.765347 | + | 1.16365i | 0.216924 | + | 0.976188i | \(0.430398\pi\) |
−0.982271 | + | 0.187465i | \(0.939973\pi\) | |||||||
\(422\) | 26.8821 | + | 6.09691i | 1.30860 | + | 0.296793i | ||||
\(423\) | 13.6406 | − | 25.7894i | 0.663228 | − | 1.25392i | ||||
\(424\) | 17.3974 | + | 5.76572i | 0.844893 | + | 0.280008i | ||||
\(425\) | 20.4327 | − | 6.11716i | 0.991134 | − | 0.296726i | ||||
\(426\) | −0.373756 | − | 13.2395i | −0.0181085 | − | 0.641455i | ||||
\(427\) | −0.877612 | − | 0.440753i | −0.0424706 | − | 0.0213295i | ||||
\(428\) | −6.79504 | − | 12.9010i | −0.328451 | − | 0.623593i | ||||
\(429\) | 9.33963 | + | 0.370383i | 0.450922 | + | 0.0178823i | ||||
\(430\) | 5.43900 | − | 1.34481i | 0.262292 | − | 0.0648527i | ||||
\(431\) | −19.7689 | + | 34.2407i | −0.952233 | + | 1.64932i | −0.211658 | + | 0.977344i | \(0.567886\pi\) |
−0.740576 | + | 0.671973i | \(0.765447\pi\) | |||||||
\(432\) | −13.7072 | + | 15.6241i | −0.659487 | + | 0.751716i | ||||
\(433\) | 10.5262 | + | 18.2318i | 0.505855 | + | 0.876166i | 0.999977 | + | 0.00677350i | \(0.00215609\pi\) |
−0.494123 | + | 0.869392i | \(0.664511\pi\) | |||||||
\(434\) | 0.0676506 | + | 0.0703288i | 0.00324733 | + | 0.00337589i | ||||
\(435\) | 1.91826 | − | 8.81940i | 0.0919737 | − | 0.422858i | ||||
\(436\) | −16.7844 | − | 0.651803i | −0.803829 | − | 0.0312157i | ||||
\(437\) | −0.794887 | − | 13.6477i | −0.0380246 | − | 0.652857i | ||||
\(438\) | −26.5945 | − | 29.9362i | −1.27074 | − | 1.43041i | ||||
\(439\) | 8.96346 | − | 37.8198i | 0.427803 | − | 1.80504i | −0.149792 | − | 0.988718i | \(-0.547860\pi\) |
0.577594 | − | 0.816324i | \(-0.303992\pi\) | |||||||
\(440\) | 3.03350 | − | 0.626228i | 0.144616 | − | 0.0298543i | ||||
\(441\) | −20.4819 | − | 4.05874i | −0.975327 | − | 0.193273i | ||||
\(442\) | 33.3707 | − | 36.0640i | 1.58728 | − | 1.71539i | ||||
\(443\) | −26.4456 | − | 1.54028i | −1.25647 | − | 0.0731809i | −0.583045 | − | 0.812440i | \(-0.698139\pi\) |
−0.673422 | + | 0.739259i | \(0.735176\pi\) | |||||||
\(444\) | 21.5280 | − | 5.97231i | 1.02167 | − | 0.283433i | ||||
\(445\) | 4.79047 | + | 3.56637i | 0.227090 | + | 0.169062i | ||||
\(446\) | −0.247584 | − | 25.5716i | −0.0117234 | − | 1.21085i | ||||
\(447\) | 9.86840 | + | 5.45612i | 0.466759 | + | 0.258065i | ||||
\(448\) | −1.22501 | + | 1.02772i | −0.0578762 | + | 0.0485553i | ||||
\(449\) | 29.8509 | − | 5.26352i | 1.40875 | − | 0.248401i | 0.583017 | − | 0.812460i | \(-0.301872\pi\) |
0.825735 | + | 0.564059i | \(0.190761\pi\) | |||||||
\(450\) | −12.3234 | + | 8.95767i | −0.580932 | + | 0.422269i | ||||
\(451\) | −0.675872 | + | 3.83306i | −0.0318256 | + | 0.180492i | ||||
\(452\) | −5.40324 | − | 2.98159i | −0.254147 | − | 0.140242i | ||||
\(453\) | 36.4658 | + | 17.4749i | 1.71331 | + | 0.821041i | ||||
\(454\) | 4.12547 | + | 4.82097i | 0.193618 | + | 0.226259i | ||||
\(455\) | 1.35044 | − | 0.320061i | 0.0633098 | − | 0.0150047i | ||||
\(456\) | −16.7389 | + | 13.7461i | −0.783869 | + | 0.643721i | ||||
\(457\) | 14.1756 | − | 1.65689i | 0.663107 | − | 0.0775061i | 0.222120 | − | 0.975019i | \(-0.428702\pi\) |
0.440987 | + | 0.897513i | \(0.354628\pi\) | |||||||
\(458\) | −18.6727 | − | 7.84107i | −0.872517 | − | 0.366389i | ||||
\(459\) | 13.9217 | − | 27.5448i | 0.649812 | − | 1.28568i | ||||
\(460\) | −5.13998 | − | 5.24094i | −0.239653 | − | 0.244360i | ||||
\(461\) | −6.16845 | + | 14.3001i | −0.287293 | + | 0.666021i | −0.999348 | − | 0.0361031i | \(-0.988506\pi\) |
0.712055 | + | 0.702124i | \(0.247765\pi\) | |||||||
\(462\) | 0.449998 | − | 0.0389772i | 0.0209358 | − | 0.00181338i | ||||
\(463\) | 15.8415 | − | 14.9457i | 0.736219 | − | 0.694587i | −0.223764 | − | 0.974643i | \(-0.571835\pi\) |
0.959984 | + | 0.280056i | \(0.0903531\pi\) | |||||||
\(464\) | 9.36189 | + | 14.8556i | 0.434615 | + | 0.689653i | ||||
\(465\) | 0.706396 | + | 0.0693166i | 0.0327583 | + | 0.00321448i | ||||
\(466\) | −33.3201 | − | 24.3081i | −1.54353 | − | 1.12605i | ||||
\(467\) | 8.71110 | − | 10.3815i | 0.403102 | − | 0.480398i | −0.525861 | − | 0.850570i | \(-0.676257\pi\) |
0.928963 | + | 0.370173i | \(0.120701\pi\) | |||||||
\(468\) | −13.9569 | + | 32.2022i | −0.645157 | + | 1.48855i | ||||
\(469\) | 0.906250 | + | 1.08003i | 0.0418467 | + | 0.0498710i | ||||
\(470\) | −1.10698 | − | 16.2879i | −0.0510613 | − | 0.751303i | ||||
\(471\) | −4.39324 | − | 1.50737i | −0.202430 | − | 0.0694559i | ||||
\(472\) | 1.08292 | + | 4.04222i | 0.0498455 | + | 0.186058i | ||||
\(473\) | 2.82725 | − | 1.21956i | 0.129997 | − | 0.0560753i | ||||
\(474\) | −28.7088 | − | 17.7422i | −1.31864 | − | 0.814926i | ||||
\(475\) | −14.1878 | + | 7.12538i | −0.650981 | + | 0.326935i | ||||
\(476\) | 1.38074 | − | 1.93165i | 0.0632863 | − | 0.0885369i | ||||
\(477\) | 18.7365 | − | 5.18131i | 0.857886 | − | 0.237236i | ||||
\(478\) | 18.9821 | + | 12.2231i | 0.868219 | + | 0.559070i | ||||
\(479\) | 23.9722 | − | 25.4091i | 1.09532 | − | 1.16097i | 0.109357 | − | 0.994003i | \(-0.465121\pi\) |
0.985962 | − | 0.166968i | \(-0.0533977\pi\) | |||||||
\(480\) | −1.91908 | + | 11.4712i | −0.0875935 | + | 0.523584i | ||||
\(481\) | 31.5187 | − | 20.7302i | 1.43713 | − | 0.945215i | ||||
\(482\) | −2.78642 | + | 1.04483i | −0.126918 | + | 0.0475908i | ||||
\(483\) | −0.655043 | − | 0.846641i | −0.0298055 | − | 0.0385235i | ||||
\(484\) | −18.9357 | + | 7.31025i | −0.860712 | + | 0.332284i | ||||
\(485\) | 9.84103 | 0.446858 | ||||||||
\(486\) | −2.86489 | + | 21.8585i | −0.129954 | + | 0.991520i | ||||
\(487\) | 4.62492i | 0.209575i | 0.994495 | + | 0.104788i | \(0.0334163\pi\) | ||||
−0.994495 | + | 0.104788i | \(0.966584\pi\) | |||||||
\(488\) | 7.29619 | − | 11.8278i | 0.330283 | − | 0.535418i | ||||
\(489\) | 0.395735 | − | 0.306179i | 0.0178957 | − | 0.0138459i | ||||
\(490\) | −10.9402 | + | 4.10228i | −0.494228 | + | 0.185322i | ||||
\(491\) | −15.3075 | − | 23.2739i | −0.690816 | − | 1.05033i | −0.995207 | − | 0.0977873i | \(-0.968824\pi\) |
0.304392 | − | 0.952547i | \(-0.401547\pi\) | |||||||
\(492\) | −12.5060 | − | 7.56241i | −0.563812 | − | 0.340940i | ||||
\(493\) | −18.9656 | − | 17.8931i | −0.854166 | − | 0.805864i | ||||
\(494\) | −19.8012 | + | 30.7507i | −0.890899 | + | 1.38354i | ||||
\(495\) | 2.30445 | − | 2.34159i | 0.103577 | − | 0.105247i | ||||
\(496\) | −1.07490 | + | 0.866884i | −0.0482643 | + | 0.0389243i | ||||
\(497\) | −0.485047 | − | 0.965807i | −0.0217573 | − | 0.0433224i | ||||
\(498\) | 14.9361 | + | 9.23058i | 0.669302 | + | 0.413632i | ||||
\(499\) | 10.8495 | + | 25.1520i | 0.485691 | + | 1.12596i | 0.968225 | + | 0.250081i | \(0.0804574\pi\) |
−0.482534 | + | 0.875877i | \(0.660283\pi\) | |||||||
\(500\) | −7.71415 | + | 18.8804i | −0.344987 | + | 0.844359i | ||||
\(501\) | 0.00218533 | − | 0.00636917i | 9.76335e−5 | − | 0.000284554i | ||||
\(502\) | −20.7351 | + | 1.40924i | −0.925454 | + | 0.0628972i | ||||
\(503\) | −11.2789 | + | 9.46413i | −0.502902 | + | 0.421985i | −0.858623 | − | 0.512607i | \(-0.828680\pi\) |
0.355721 | + | 0.934592i | \(0.384235\pi\) | |||||||
\(504\) | −0.473490 | + | 1.62858i | −0.0210909 | + | 0.0725427i | ||||
\(505\) | 7.81838 | + | 6.56040i | 0.347913 | + | 0.291934i | ||||
\(506\) | −3.25909 | − | 2.37761i | −0.144884 | − | 0.105698i | ||||
\(507\) | −3.58867 | + | 36.5716i | −0.159379 | + | 1.62420i | ||||
\(508\) | −21.9630 | − | 19.9315i | −0.974450 | − | 0.884318i | ||||
\(509\) | −26.7246 | − | 28.3264i | −1.18455 | − | 1.25555i | −0.959661 | − | 0.281161i | \(-0.909281\pi\) |
−0.224886 | − | 0.974385i | \(-0.572201\pi\) | |||||||
\(510\) | −1.49031 | − | 17.2059i | −0.0659918 | − | 0.761888i | ||||
\(511\) | −3.00026 | − | 1.29419i | −0.132724 | − | 0.0572515i | ||||
\(512\) | −12.9761 | − | 18.5370i | −0.573469 | − | 0.819227i | ||||
\(513\) | −6.64511 | + | 21.9916i | −0.293389 | + | 0.970954i | ||||
\(514\) | −28.8953 | − | 12.1338i | −1.27452 | − | 0.535199i | ||||
\(515\) | −1.99982 | − | 17.1096i | −0.0881227 | − | 0.753938i | ||||
\(516\) | 0.438129 | + | 11.5532i | 0.0192876 | + | 0.508602i | ||||
\(517\) | −2.06904 | − | 8.72997i | −0.0909963 | − | 0.383943i | ||||
\(518\) | 1.38510 | − | 1.18528i | 0.0608580 | − | 0.0520782i | ||||
\(519\) | −4.35299 | + | 9.08362i | −0.191075 | + | 0.398727i | ||||
\(520\) | 2.84551 | + | 19.4320i | 0.124784 | + | 0.852151i | ||||
\(521\) | −8.73098 | − | 1.53951i | −0.382511 | − | 0.0674470i | −0.0209135 | − | 0.999781i | \(-0.506657\pi\) |
−0.361598 | + | 0.932334i | \(0.617769\pi\) | |||||||
\(522\) | 17.0161 | + | 7.57152i | 0.744773 | + | 0.331396i | ||||
\(523\) | −1.62160 | − | 9.19658i | −0.0709078 | − | 0.402138i | −0.999517 | − | 0.0310788i | \(-0.990106\pi\) |
0.928609 | − | 0.371059i | \(-0.121005\pi\) | |||||||
\(524\) | −7.05634 | + | 20.6210i | −0.308257 | + | 0.900831i | ||||
\(525\) | −0.601519 | + | 1.08796i | −0.0262524 | + | 0.0474824i | ||||
\(526\) | 33.7379 | − | 0.326650i | 1.47104 | − | 0.0142426i | ||||
\(527\) | 1.22448 | − | 1.64476i | 0.0533391 | − | 0.0716468i | ||||
\(528\) | −0.00581447 | + | 6.39169i | −0.000253042 | + | 0.278163i | ||||
\(529\) | 0.781422 | − | 13.4165i | 0.0339749 | − | 0.583326i | ||||
\(530\) | 7.38799 | − | 7.98427i | 0.320914 | − | 0.346815i | ||||
\(531\) | 3.33924 | + | 2.92417i | 0.144911 | + | 0.126898i | ||||
\(532\) | −0.762490 | + | 1.59449i | −0.0330581 | + | 0.0691300i | ||||
\(533\) | −24.0130 | − | 5.69119i | −1.04012 | − | 0.246513i | ||||
\(534\) | −9.21334 | + | 8.18489i | −0.398700 | + | 0.354195i | ||||
\(535\) | −8.63953 | + | 0.503195i | −0.373519 | + | 0.0217550i | ||||
\(536\) | −16.3433 | + | 11.4426i | −0.705924 | + | 0.494247i | ||||
\(537\) | 13.6861 | + | 2.97680i | 0.590599 | + | 0.128458i | ||||
\(538\) | 6.20016 | + | 6.44561i | 0.267308 | + | 0.277890i | ||||
\(539\) | −5.56081 | + | 3.21054i | −0.239521 | + | 0.138288i | ||||
\(540\) | 5.07578 | + | 11.2435i | 0.218427 | + | 0.483842i | ||||
\(541\) | −12.1513 | − | 7.01554i | −0.522424 | − | 0.301621i | 0.215502 | − | 0.976503i | \(-0.430861\pi\) |
−0.737926 | + | 0.674882i | \(0.764195\pi\) | |||||||
\(542\) | −4.48451 | − | 18.1373i | −0.192626 | − | 0.779063i | ||||
\(543\) | 0.575599 | − | 14.5144i | 0.0247013 | − | 0.622871i | ||||
\(544\) | 25.5265 | + | 21.8478i | 1.09444 | + | 0.936716i | ||||
\(545\) | −4.47426 | + | 8.90899i | −0.191656 | + | 0.381619i | ||||
\(546\) | 0.0808161 | + | 2.86273i | 0.00345861 | + | 0.122514i | ||||
\(547\) | −4.05603 | − | 13.5481i | −0.173423 | − | 0.579274i | −0.999868 | − | 0.0162560i | \(-0.994825\pi\) |
0.826445 | − | 0.563018i | \(-0.190360\pi\) | |||||||
\(548\) | −20.7739 | − | 30.2910i | −0.887417 | − | 1.29397i | ||||
\(549\) | −0.546475 | − | 14.7300i | −0.0233230 | − | 0.628661i | ||||
\(550\) | −1.03627 | + | 4.56905i | −0.0441867 | + | 0.194825i | ||||
\(551\) | 16.2158 | + | 10.6653i | 0.690816 | + | 0.454357i | ||||
\(552\) | 12.7433 | − | 8.18939i | 0.542392 | − | 0.348564i | ||||
\(553\) | −2.73527 | − | 0.319707i | −0.116315 | − | 0.0135953i | ||||
\(554\) | 11.5577 | + | 6.52444i | 0.491038 | + | 0.277197i | ||||
\(555\) | 2.06005 | − | 13.0989i | 0.0874443 | − | 0.556016i | ||||
\(556\) | −5.85130 | − | 29.7983i | −0.248150 | − | 1.26373i | ||||
\(557\) | 11.0789 | + | 4.03241i | 0.469430 | + | 0.170858i | 0.565894 | − | 0.824478i | \(-0.308531\pi\) |
−0.0964642 | + | 0.995336i | \(0.530753\pi\) | |||||||
\(558\) | −0.436059 | + | 1.39825i | −0.0184598 | + | 0.0591927i | ||||
\(559\) | 6.67714 | + | 18.3453i | 0.282413 | + | 0.775923i | ||||
\(560\) | 0.254456 | + | 0.914301i | 0.0107527 | + | 0.0386363i | ||||
\(561\) | −2.35963 | − | 9.19305i | −0.0996238 | − | 0.388131i | ||||
\(562\) | 6.26701 | − | 17.7514i | 0.264358 | − | 0.748796i | ||||
\(563\) | 3.51376 | + | 1.05195i | 0.148087 | + | 0.0443345i | 0.359989 | − | 0.932957i | \(-0.382780\pi\) |
−0.211902 | + | 0.977291i | \(0.567966\pi\) | |||||||
\(564\) | 33.3740 | + | 4.58843i | 1.40530 | + | 0.193208i | ||||
\(565\) | −2.93801 | + | 2.18727i | −0.123603 | + | 0.0920190i | ||||
\(566\) | −11.8385 | − | 15.5846i | −0.497611 | − | 0.655071i | ||||
\(567\) | 0.543413 | + | 1.71485i | 0.0228212 | + | 0.0720171i | ||||
\(568\) | 14.2134 | − | 5.64592i | 0.596383 | − | 0.236897i | ||||
\(569\) | −11.1808 | + | 8.32379i | −0.468723 | + | 0.348951i | −0.805463 | − | 0.592646i | \(-0.798083\pi\) |
0.336740 | + | 0.941598i | \(0.390676\pi\) | |||||||
\(570\) | 3.31650 | + | 12.4203i | 0.138913 | + | 0.520231i | ||||
\(571\) | 2.99782 | − | 10.0134i | 0.125455 | − | 0.419049i | −0.872069 | − | 0.489384i | \(-0.837222\pi\) |
0.997523 | + | 0.0703353i | \(0.0224069\pi\) | |||||||
\(572\) | 3.29507 | + | 10.2777i | 0.137774 | + | 0.429731i | ||||
\(573\) | −14.9047 | + | 14.5935i | −0.622652 | + | 0.609653i | ||||
\(574\) | −1.18577 | − | 0.126973i | −0.0494932 | − | 0.00529973i | ||||
\(575\) | 10.4337 | − | 3.79757i | 0.435117 | − | 0.158370i | ||||
\(576\) | −22.3737 | − | 8.68433i | −0.932237 | − | 0.361847i | ||||
\(577\) | −11.3074 | − | 4.11555i | −0.470732 | − | 0.171332i | 0.0957519 | − | 0.995405i | \(-0.469474\pi\) |
−0.566484 | + | 0.824073i | \(0.691697\pi\) | |||||||
\(578\) | −23.2120 | − | 11.3775i | −0.965493 | − | 0.473240i | ||||
\(579\) | 22.4078 | − | 27.7329i | 0.931235 | − | 1.15254i | ||||
\(580\) | 10.3260 | − | 1.41010i | 0.428765 | − | 0.0585514i | ||||
\(581\) | 1.42305 | + | 0.166331i | 0.0590382 | + | 0.00690057i | ||||
\(582\) | −4.12370 | + | 19.8841i | −0.170933 | + | 0.824224i | ||||
\(583\) | 3.28503 | − | 4.99464i | 0.136052 | − | 0.206857i | ||||
\(584\) | 21.9462 | − | 40.6975i | 0.908141 | − | 1.68408i | ||||
\(585\) | 13.9720 | + | 15.4498i | 0.577673 | + | 0.638770i | ||||
\(586\) | 1.99389 | − | 41.0823i | 0.0823668 | − | 1.69709i | ||||
\(587\) | −12.6673 | + | 3.79234i | −0.522835 | + | 0.156527i | −0.537336 | − | 0.843368i | \(-0.680569\pi\) |
0.0145008 | + | 0.999895i | \(0.495384\pi\) | |||||||
\(588\) | −3.70452 | − | 23.8240i | −0.152772 | − | 0.982486i | ||||
\(589\) | −0.685020 | + | 1.36399i | −0.0282258 | + | 0.0562021i | ||||
\(590\) | 2.45007 | + | 0.407596i | 0.100868 | + | 0.0167805i | ||||
\(591\) | −4.15579 | − | 7.90589i | −0.170946 | − | 0.325205i | ||||
\(592\) | 14.9997 | + | 20.9883i | 0.616482 | + | 0.862613i | ||||
\(593\) | −12.2671 | − | 7.08240i | −0.503748 | − | 0.290839i | 0.226512 | − | 0.974008i | \(-0.427268\pi\) |
−0.730260 | + | 0.683169i | \(0.760601\pi\) | |||||||
\(594\) | 3.76563 | + | 5.63742i | 0.154506 | + | 0.231306i | ||||
\(595\) | −0.704623 | − | 1.22044i | −0.0288867 | − | 0.0500333i | ||||
\(596\) | −2.01232 | + | 12.8643i | −0.0824279 | + | 0.526942i | ||||
\(597\) | 5.92326 | − | 6.51620i | 0.242423 | − | 0.266690i | ||||
\(598\) | 16.2511 | − | 19.7526i | 0.664557 | − | 0.807743i | ||||
\(599\) | 0.618793 | + | 10.6243i | 0.0252832 | + | 0.434096i | 0.987069 | + | 0.160294i | \(0.0512442\pi\) |
−0.961786 | + | 0.273802i | \(0.911719\pi\) | |||||||
\(600\) | −14.5946 | − | 9.82204i | −0.595823 | − | 0.400983i | ||||
\(601\) | −6.82093 | − | 1.61659i | −0.278232 | − | 0.0659421i | 0.0891309 | − | 0.996020i | \(-0.471591\pi\) |
−0.367363 | + | 0.930078i | \(0.619739\pi\) | |||||||
\(602\) | 0.431546 | + | 0.838927i | 0.0175885 | + | 0.0341921i | ||||
\(603\) | −7.65536 | + | 19.7279i | −0.311751 | + | 0.803380i | ||||
\(604\) | −4.52168 | + | 46.4728i | −0.183984 | + | 1.89095i | ||||
\(605\) | −0.700478 | + | 12.0267i | −0.0284785 | + | 0.488957i | ||||
\(606\) | −16.5317 | + | 13.0483i | −0.671553 | + | 0.530051i | ||||
\(607\) | −10.4820 | − | 7.80356i | −0.425451 | − | 0.316737i | 0.363050 | − | 0.931770i | \(-0.381735\pi\) |
−0.788501 | + | 0.615033i | \(0.789143\pi\) | |||||||
\(608\) | −21.5366 | − | 12.7163i | −0.873423 | − | 0.515713i | ||||
\(609\) | 1.51949 | − | 0.0281765i | 0.0615730 | − | 0.00114177i | ||||
\(610\) | −4.59898 | − | 6.84709i | −0.186207 | − | 0.277231i | ||||
\(611\) | 56.0210 | − | 9.87801i | 2.26637 | − | 0.399622i | ||||
\(612\) | 35.3895 | + | 4.19858i | 1.43054 | + | 0.169717i | ||||
\(613\) | −12.1167 | − | 2.13650i | −0.489389 | − | 0.0862926i | −0.0764922 | − | 0.997070i | \(-0.524372\pi\) |
−0.412897 | + | 0.910778i | \(0.635483\pi\) | |||||||
\(614\) | −2.18501 | − | 4.93353i | −0.0881798 | − | 0.199101i | ||||
\(615\) | −7.15749 | + | 4.90004i | −0.288618 | + | 0.197589i | ||||
\(616\) | 0.220400 | + | 0.472703i | 0.00888016 | + | 0.0190457i | ||||
\(617\) | 2.94057 | + | 12.4072i | 0.118383 | + | 0.499497i | 0.999639 | + | 0.0268581i | \(0.00855022\pi\) |
−0.881256 | + | 0.472639i | \(0.843302\pi\) | |||||||
\(618\) | 35.4085 | + | 3.12874i | 1.42434 | + | 0.125856i | ||||
\(619\) | −22.2986 | + | 2.60633i | −0.896255 | + | 0.104757i | −0.551733 | − | 0.834021i | \(-0.686033\pi\) |
−0.344522 | + | 0.938778i | \(0.611959\pi\) | |||||||
\(620\) | 0.204417 | + | 0.793692i | 0.00820959 | + | 0.0318754i | ||||
\(621\) | 6.40137 | − | 14.7365i | 0.256878 | − | 0.591353i | ||||
\(622\) | −27.1103 | + | 3.43511i | −1.08702 | + | 0.137735i | ||||
\(623\) | −0.398307 | + | 0.923379i | −0.0159578 | + | 0.0369944i | ||||
\(624\) | −40.4554 | − | 2.39319i | −1.61951 | − | 0.0958043i | ||||
\(625\) | −4.01417 | − | 4.25477i | −0.160567 | − | 0.170191i | ||||
\(626\) | 5.14034 | + | 27.5877i | 0.205449 | + | 1.10263i | ||||
\(627\) | 2.91804 | + | 6.43408i | 0.116535 | + | 0.256952i | ||||
\(628\) | −0.103843 | − | 5.36217i | −0.00414377 | − | 0.213974i | ||||
\(629\) | −29.3444 | − | 24.6229i | −1.17004 | − | 0.981779i | ||||
\(630\) | 0.763679 | + | 0.655801i | 0.0304257 | + | 0.0261277i | ||||
\(631\) | −18.6905 | − | 22.2744i | −0.744055 | − | 0.886731i | 0.252673 | − | 0.967552i | \(-0.418690\pi\) |
−0.996729 | + | 0.0808209i | \(0.974246\pi\) | |||||||
\(632\) | 7.88204 | − | 38.1643i | 0.313531 | − | 1.51810i | ||||
\(633\) | 22.1762 | + | 25.4548i | 0.881423 | + | 1.01174i | ||||
\(634\) | 6.67222 | + | 11.3025i | 0.264988 | + | 0.448879i | ||||
\(635\) | −16.1634 | + | 6.97220i | −0.641424 | + | 0.276683i | ||||
\(636\) | 13.0367 | + | 18.2733i | 0.516939 | + | 0.724585i | ||||
\(637\) | −18.2717 | − | 36.3820i | −0.723952 | − | 1.44151i | ||||
\(638\) | 5.47067 | − | 1.69569i | 0.216586 | − | 0.0671331i | ||||
\(639\) | 9.19773 | − | 13.3618i | 0.363856 | − | 0.528584i | ||||
\(640\) | −13.2028 | + | 2.45885i | −0.521887 | + | 0.0971944i | ||||
\(641\) | 25.6182 | + | 24.1695i | 1.01186 | + | 0.954637i | 0.998974 | − | 0.0452800i | \(-0.0144180\pi\) |
0.0128818 | + | 0.999917i | \(0.495899\pi\) | |||||||
\(642\) | 2.60351 | − | 17.6673i | 0.102752 | − | 0.697273i | ||||
\(643\) | 21.7031 | − | 14.2743i | 0.855885 | − | 0.562925i | −0.0440096 | − | 0.999031i | \(-0.514013\pi\) |
0.899895 | + | 0.436106i | \(0.143643\pi\) | |||||||
\(644\) | 0.659103 | − | 1.04567i | 0.0259723 | − | 0.0412052i | ||||
\(645\) | 6.35010 | + | 2.60061i | 0.250035 | + | 0.102399i | ||||
\(646\) | 35.6795 | + | 10.3064i | 1.40379 | + | 0.405501i | ||||
\(647\) | 13.3917 | 0.526483 | 0.263242 | − | 0.964730i | \(-0.415208\pi\) | ||||
0.263242 | + | 0.964730i | \(0.415208\pi\) | |||||||
\(648\) | −24.8447 | + | 5.54442i | −0.975992 | + | 0.217805i | ||||
\(649\) | 1.36497 | 0.0535796 | ||||||||
\(650\) | −28.5388 | − | 8.24374i | −1.11938 | − | 0.323346i | ||||
\(651\) | 0.0160735 | + | 0.118430i | 0.000629969 | + | 0.00464165i | ||||
\(652\) | 0.488764 | + | 0.308076i | 0.0191415 | + | 0.0120652i | ||||
\(653\) | 9.49533 | − | 6.24518i | 0.371581 | − | 0.244393i | −0.349960 | − | 0.936765i | \(-0.613805\pi\) |
0.721541 | + | 0.692372i | \(0.243434\pi\) | |||||||
\(654\) | −16.1261 | − | 12.7735i | −0.630579 | − | 0.499485i | ||||
\(655\) | 9.40908 | + | 8.87701i | 0.367643 | + | 0.346853i | ||||
\(656\) | 3.25310 | − | 16.5591i | 0.127012 | − | 0.646523i | ||||
\(657\) | −4.66473 | − | 48.8202i | −0.181988 | − | 1.90466i | ||||
\(658\) | 2.62568 | − | 0.813859i | 0.102360 | − | 0.0317275i | ||||
\(659\) | −11.2407 | − | 22.3820i | −0.437874 | − | 0.871880i | −0.999024 | − | 0.0441654i | \(-0.985937\pi\) |
0.561150 | − | 0.827714i | \(-0.310359\pi\) | |||||||
\(660\) | 3.45217 | + | 1.57287i | 0.134375 | + | 0.0612240i | ||||
\(661\) | 10.2529 | − | 4.42268i | 0.398793 | − | 0.172022i | −0.187232 | − | 0.982316i | \(-0.559951\pi\) |
0.586025 | + | 0.810293i | \(0.300692\pi\) | |||||||
\(662\) | −22.6873 | − | 38.4314i | −0.881766 | − | 1.49368i | ||||
\(663\) | 59.0593 | − | 11.5467i | 2.29367 | − | 0.448435i | ||||
\(664\) | −4.10072 | + | 19.8554i | −0.159139 | + | 0.770540i | ||||
\(665\) | 0.674286 | + | 0.803583i | 0.0261477 | + | 0.0311616i | ||||
\(666\) | 25.6035 | + | 9.65124i | 0.992115 | + | 0.373978i | ||||
\(667\) | −10.3980 | − | 8.72497i | −0.402613 | − | 0.337832i | ||||
\(668\) | 0.00777389 | 0.000150547i | 0.000300781 | 5.82486e-6i | ||||||
\(669\) | 18.2341 | − | 25.4651i | 0.704972 | − | 0.984537i | ||||
\(670\) | 2.16902 | + | 11.6409i | 0.0837964 | + | 0.449727i | ||||
\(671\) | −3.11066 | − | 3.29711i | −0.120086 | − | 0.127283i | ||||
\(672\) | −1.95400 | + | 0.131015i | −0.0753772 | + | 0.00505403i | ||||
\(673\) | −4.02103 | + | 9.32180i | −0.154999 | + | 0.359329i | −0.977967 | − | 0.208759i | \(-0.933058\pi\) |
0.822968 | + | 0.568088i | \(0.192317\pi\) | |||||||
\(674\) | 13.3111 | − | 1.68663i | 0.512724 | − | 0.0649666i | ||||
\(675\) | −18.6590 | − | 0.0476546i | −0.718185 | − | 0.00183423i | ||||
\(676\) | −41.0911 | + | 10.5831i | −1.58043 | + | 0.407043i | ||||
\(677\) | −22.3542 | + | 2.61283i | −0.859140 | + | 0.100419i | −0.534244 | − | 0.845330i | \(-0.679404\pi\) |
−0.324897 | + | 0.945750i | \(0.605329\pi\) | |||||||
\(678\) | −3.18833 | − | 6.85288i | −0.122447 | − | 0.263183i | ||||
\(679\) | 0.382144 | + | 1.61239i | 0.0146653 | + | 0.0618780i | ||||
\(680\) | 18.0740 | − | 8.42706i | 0.693105 | − | 0.323163i | ||||
\(681\) | 0.595615 | + | 7.74836i | 0.0228240 | + | 0.296918i | ||||
\(682\) | 0.182396 | + | 0.411832i | 0.00698431 | + | 0.0157699i | ||||
\(683\) | −35.0009 | − | 6.17161i | −1.33927 | − | 0.236150i | −0.542310 | − | 0.840178i | \(-0.682450\pi\) |
−0.796963 | + | 0.604028i | \(0.793561\pi\) | |||||||
\(684\) | −26.4854 | + | 1.49658i | −1.01270 | + | 0.0572232i | ||||
\(685\) | −21.4688 | + | 3.78554i | −0.820282 | + | 0.144638i | ||||
\(686\) | −2.20022 | − | 3.27575i | −0.0840048 | − | 0.125069i | ||||
\(687\) | −12.7980 | − | 21.2471i | −0.488275 | − | 0.810627i | ||||
\(688\) | −12.3588 | + | 5.04828i | −0.471174 | + | 0.192464i | ||||
\(689\) | 30.4036 | + | 22.6346i | 1.15828 | + | 0.862311i | ||||
\(690\) | −1.29532 | − | 8.89677i | −0.0493119 | − | 0.338694i | ||||
\(691\) | 0.198750 | − | 3.41241i | 0.00756082 | − | 0.129814i | −0.992415 | − | 0.122929i | \(-0.960771\pi\) |
0.999976 | − | 0.00688531i | \(-0.00219168\pi\) | |||||||
\(692\) | −11.5764 | − | 1.12635i | −0.440067 | − | 0.0428173i | ||||
\(693\) | 0.473141 | + | 0.286642i | 0.0179732 | + | 0.0108886i | ||||
\(694\) | 16.8495 | + | 32.7555i | 0.639599 | + | 1.24338i | ||||
\(695\) | −17.5378 | − | 4.15654i | −0.665248 | − | 0.157667i | ||||
\(696\) | −1.47777 | + | 21.4550i | −0.0560146 | + | 0.813249i | ||||
\(697\) | 1.45703 | + | 25.0162i | 0.0551889 | + | 0.947557i | ||||
\(698\) | −16.7931 | + | 20.4114i | −0.635630 | + | 0.772583i | ||||
\(699\) | −15.3823 | − | 48.1151i | −0.581813 | − | 1.81988i | ||||
\(700\) | −1.41824 | − | 0.221852i | −0.0536046 | − | 0.00838521i | ||||
\(701\) | 20.0809 | + | 34.7812i | 0.758446 | + | 1.31367i | 0.943643 | + | 0.330965i | \(0.107374\pi\) |
−0.185197 | + | 0.982701i | \(0.559292\pi\) | |||||||
\(702\) | −37.0715 | + | 21.7570i | −1.39917 | + | 0.821166i | ||||
\(703\) | 24.6940 | + | 14.2571i | 0.931353 | + | 0.537717i | ||||
\(704\) | −6.93561 | + | 2.52367i | −0.261396 | + | 0.0951144i | ||||
\(705\) | 10.6755 | − | 16.9060i | 0.402064 | − | 0.636716i | ||||
\(706\) | −2.71503 | − | 0.451676i | −0.102182 | − | 0.0169990i | ||||
\(707\) | −0.771281 | + | 1.53575i | −0.0290070 | + | 0.0577577i | ||||
\(708\) | −1.85022 | + | 4.77966i | −0.0695355 | + | 0.179630i | ||||
\(709\) | 23.7692 | − | 7.11602i | 0.892670 | − | 0.267248i | 0.192562 | − | 0.981285i | \(-0.438320\pi\) |
0.700108 | + | 0.714037i | \(0.253135\pi\) | |||||||
\(710\) | 0.440032 | − | 9.06646i | 0.0165141 | − | 0.340258i | ||||
\(711\) | −15.5672 | − | 38.2901i | −0.583816 | − | 1.43599i | ||||
\(712\) | −12.5253 | − | 6.75430i | −0.469406 | − | 0.253128i | ||||
\(713\) | 0.586576 | − | 0.891845i | 0.0219674 | − | 0.0333999i | ||||
\(714\) | 2.76121 | − | 0.912311i | 0.103336 | − | 0.0341424i | ||||
\(715\) | 6.36252 | + | 0.743672i | 0.237945 | + | 0.0278118i | ||||
\(716\) | 2.18822 | + | 16.0241i | 0.0817778 | + | 0.598850i | ||||
\(717\) | 9.93734 | + | 25.8037i | 0.371117 | + | 0.963658i | ||||
\(718\) | 24.0661 | + | 11.7961i | 0.898138 | + | 0.440225i | ||||
\(719\) | 20.3552 | + | 7.40869i | 0.759121 | + | 0.276297i | 0.692439 | − | 0.721477i | \(-0.256536\pi\) |
0.0666824 | + | 0.997774i | \(0.478759\pi\) | |||||||
\(720\) | −10.1871 | + | 9.95631i | −0.379651 | + | 0.371050i | ||||
\(721\) | 2.72564 | − | 0.992054i | 0.101508 | − | 0.0369460i | ||||
\(722\) | −0.770208 | − | 0.0824739i | −0.0286642 | − | 0.00306936i | ||||
\(723\) | −3.51034 | − | 0.980392i | −0.130551 | − | 0.0364612i | ||||
\(724\) | 15.9721 | − | 5.12074i | 0.593599 | − | 0.190311i | ||||
\(725\) | −4.52108 | + | 15.1014i | −0.167909 | + | 0.560854i | ||||
\(726\) | −24.0069 | − | 6.45492i | −0.890981 | − | 0.239565i | ||||
\(727\) | 2.91188 | − | 2.16781i | 0.107995 | − | 0.0803997i | −0.541806 | − | 0.840503i | \(-0.682259\pi\) |
0.649802 | + | 0.760104i | \(0.274852\pi\) | |||||||
\(728\) | −3.07333 | + | 1.22080i | −0.113905 | + | 0.0452458i | ||||
\(729\) | −18.6286 | + | 19.5442i | −0.689948 | + | 0.723859i | ||||
\(730\) | −16.6002 | − | 21.8530i | −0.614400 | − | 0.808815i | ||||
\(731\) | 15.9010 | − | 11.8378i | 0.588118 | − | 0.437838i | ||||
\(732\) | 15.7619 | − | 6.42326i | 0.582577 | − | 0.237410i | ||||
\(733\) | 33.1132 | + | 9.91344i | 1.22306 | + | 0.366161i | 0.832298 | − | 0.554329i | \(-0.187025\pi\) |
0.390766 | + | 0.920490i | \(0.372210\pi\) | |||||||
\(734\) | 15.0870 | − | 42.7340i | 0.556870 | − | 1.57734i | ||||
\(735\) | −13.7825 | − | 3.84927i | −0.508376 | − | 0.141983i | ||||
\(736\) | 13.9274 | + | 10.5816i | 0.513372 | + | 0.390044i | ||||
\(737\) | 2.22569 | + | 6.11503i | 0.0819843 | + | 0.225250i | ||||
\(738\) | −6.90149 | − | 16.5152i | −0.254047 | − | 0.607934i | ||||
\(739\) | −21.0137 | − | 7.64836i | −0.773001 | − | 0.281349i | −0.0747499 | − | 0.997202i | \(-0.523816\pi\) |
−0.698251 | + | 0.715853i | \(0.746038\pi\) | |||||||
\(740\) | 15.0243 | − | 2.95021i | 0.552303 | − | 0.108452i | ||||
\(741\) | −41.8017 | + | 16.0984i | −1.53562 | + | 0.591388i | ||||
\(742\) | 1.59506 | + | 0.900434i | 0.0585566 | + | 0.0330560i | ||||
\(743\) | 46.4250 | + | 5.42631i | 1.70317 | + | 0.199072i | 0.911335 | − | 0.411665i | \(-0.135052\pi\) |
0.791834 | + | 0.610737i | \(0.209127\pi\) | |||||||
\(744\) | −1.68934 | + | 0.0804500i | −0.0619342 | + | 0.00294944i | ||||
\(745\) | 6.45670 | + | 4.24664i | 0.236555 | + | 0.155585i | ||||
\(746\) | −1.57194 | + | 6.93090i | −0.0575529 | + | 0.253758i | ||||
\(747\) | 8.09902 | + | 19.9209i | 0.296328 | + | 0.728867i | ||||
\(748\) | 9.03806 | − | 6.19840i | 0.330464 | − | 0.226636i | ||||
\(749\) | −0.417933 | − | 1.39599i | −0.0152710 | − | 0.0510085i | ||||
\(750\) | −21.2717 | + | 13.0952i | −0.776733 | + | 0.478168i | ||||
\(751\) | −1.59373 | + | 3.17337i | −0.0581560 | + | 0.115798i | −0.920833 | − | 0.389957i | \(-0.872490\pi\) |
0.862677 | + | 0.505755i | \(0.168786\pi\) | |||||||
\(752\) | 8.23296 | + | 38.0183i | 0.300225 | + | 1.38639i | ||||
\(753\) | −21.5220 | − | 13.5904i | −0.784306 | − | 0.495262i | ||||
\(754\) | 8.71641 | + | 35.2529i | 0.317433 | + | 1.28384i | ||||
\(755\) | 24.0000 | + | 13.8564i | 0.873449 | + | 0.504286i | ||||
\(756\) | −1.64507 | + | 1.26824i | −0.0598307 | + | 0.0461254i | ||||
\(757\) | −42.6228 | + | 24.6083i | −1.54915 | + | 0.894404i | −0.550946 | + | 0.834541i | \(0.685733\pi\) |
−0.998207 | + | 0.0598633i | \(0.980934\pi\) | |||||||
\(758\) | 19.6662 | + | 20.4447i | 0.714308 | + | 0.742585i | ||||
\(759\) | −1.50457 | − | 4.70620i | −0.0546123 | − | 0.170824i | ||||
\(760\) | −12.1601 | + | 8.51379i | −0.441092 | + | 0.308827i | ||||
\(761\) | −39.4109 | + | 2.29542i | −1.42864 | + | 0.0832091i | −0.754941 | − | 0.655793i | \(-0.772335\pi\) |
−0.673704 | + | 0.739002i | \(0.735298\pi\) | |||||||
\(762\) | −7.31461 | − | 35.5802i | −0.264980 | − | 1.28894i | ||||
\(763\) | −1.63343 | − | 0.387130i | −0.0591341 | − | 0.0140150i | ||||
\(764\) | −21.7298 | − | 10.3912i | −0.786155 | − | 0.375941i | ||||
\(765\) | 10.9599 | − | 18.0907i | 0.396255 | − | 0.654072i | ||||
\(766\) | 20.2577 | − | 21.8927i | 0.731940 | − | 0.791015i | ||||
\(767\) | −0.503214 | + | 8.63984i | −0.0181700 | + | 0.311967i | ||||
\(768\) | 0.564211 | − | 27.7071i | 0.0203592 | − | 0.999793i | ||||
\(769\) | −22.2589 | + | 29.8988i | −0.802675 | + | 1.07818i | 0.192619 | + | 0.981274i | \(0.438302\pi\) |
−0.995294 | + | 0.0969058i | \(0.969105\pi\) | |||||||
\(770\) | 0.309541 | − | 0.00299697i | 0.0111551 | − | 0.000108003i | ||||
\(771\) | −19.8045 | − | 32.8791i | −0.713241 | − | 1.18411i | ||||
\(772\) | 38.9525 | + | 13.3292i | 1.40193 | + | 0.479730i | ||||
\(773\) | 4.56439 | + | 25.8859i | 0.164170 | + | 0.931053i | 0.949916 | + | 0.312504i | \(0.101168\pi\) |
−0.785747 | + | 0.618548i | \(0.787721\pi\) | |||||||
\(774\) | −7.91551 | + | 11.7408i | −0.284517 | + | 0.422016i | ||||
\(775\) | −1.22085 | − | 0.215269i | −0.0438542 | − | 0.00773268i | ||||
\(776\) | −23.2013 | + | 3.39746i | −0.832879 | + | 0.121962i | ||||
\(777\) | 2.22617 | − | 0.171125i | 0.0798633 | − | 0.00613907i | ||||
\(778\) | −34.5223 | + | 29.5419i | −1.23768 | + | 1.05913i | ||||
\(779\) | −4.30166 | − | 18.1501i | −0.154123 | − | 0.650296i | ||||
\(780\) | −11.2285 | + | 21.2714i | −0.402046 | + | 0.761638i | ||||
\(781\) | −0.579121 | − | 4.95470i | −0.0207226 | − | 0.177293i | ||||
\(782\) | −23.9472 | − | 10.0559i | −0.856349 | − | 0.359600i | ||||
\(783\) | 11.3547 | + | 19.7834i | 0.405783 | + | 0.707001i | ||||
\(784\) | 24.3765 | − | 13.4485i | 0.870589 | − | 0.480305i | ||||
\(785\) | −2.92282 | − | 1.26078i | −0.104320 | − | 0.0449992i | ||||
\(786\) | −21.8790 | + | 15.2916i | −0.780398 | + | 0.545434i | ||||
\(787\) | 14.0858 | + | 14.9301i | 0.502106 | + | 0.532201i | 0.928004 | − | 0.372570i | \(-0.121523\pi\) |
−0.425898 | + | 0.904771i | \(0.640042\pi\) | |||||||
\(788\) | 6.93087 | − | 7.63728i | 0.246902 | − | 0.272067i | ||||
\(789\) | 33.5974 | + | 24.0572i | 1.19610 | + | 0.856459i | ||||
\(790\) | −18.6854 | − | 13.6316i | −0.664798 | − | 0.484991i | ||||
\(791\) | −0.472459 | − | 0.396440i | −0.0167987 | − | 0.0140958i | ||||
\(792\) | −4.62461 | + | 6.31614i | −0.164328 | + | 0.224434i | ||||
\(793\) | 22.0166 | − | 18.4741i | 0.781831 | − | 0.656034i | ||||
\(794\) | −43.1819 | + | 2.93480i | −1.53247 | + | 0.104152i | ||||
\(795\) | 13.0752 | − | 2.55633i | 0.463731 | − | 0.0906638i | ||||
\(796\) | 9.41293 | + | 3.84593i | 0.333632 | + | 0.136315i | ||||
\(797\) | 20.2129 | + | 46.8587i | 0.715977 | + | 1.65982i | 0.750888 | + | 0.660430i | \(0.229626\pi\) |
−0.0349112 | + | 0.999390i | \(0.511115\pi\) | |||||||
\(798\) | −1.90621 | + | 1.02569i | −0.0674792 | + | 0.0363091i | ||||
\(799\) | −25.9236 | − | 51.6181i | −0.917110 | − | 1.82612i | ||||
\(800\) | 4.87746 | − | 19.7191i | 0.172444 | − | 0.697177i | ||||
\(801\) | −15.0252 | + | 1.43564i | −0.530889 | + | 0.0507260i | ||||
\(802\) | −0.188920 | + | 0.293387i | −0.00667099 | + | 0.0103598i | ||||
\(803\) | −10.9699 | − | 10.3496i | −0.387121 | − | 0.365230i | ||||
\(804\) | −24.4297 | − | 0.495333i | −0.861570 | − | 0.0174691i | ||||
\(805\) | −0.403134 | − | 0.612936i | −0.0142086 | − | 0.0216031i | ||||
\(806\) | −2.67402 | + | 1.00269i | −0.0941885 | + | 0.0353182i | ||||
\(807\) | 1.47313 | + | 10.8541i | 0.0518565 | + | 0.382083i | ||||
\(808\) | −20.6976 | − | 12.7677i | −0.728139 | − | 0.449167i | ||||
\(809\) | − | 26.6021i | − | 0.935280i | −0.883919 | − | 0.467640i | \(-0.845104\pi\) | ||
0.883919 | − | 0.467640i | \(-0.154896\pi\) | |||||||
\(810\) | −3.10580 | + | 14.7859i | −0.109127 | + | 0.519523i | ||||
\(811\) | −6.70344 | −0.235390 | −0.117695 | − | 0.993050i | \(-0.537550\pi\) | ||||
−0.117695 | + | 0.993050i | \(0.537550\pi\) | |||||||
\(812\) | 0.632015 | + | 1.63710i | 0.0221794 | + | 0.0574510i | ||||
\(813\) | 8.67218 | − | 21.1755i | 0.304147 | − | 0.742657i | ||||
\(814\) | 7.87872 | − | 2.95431i | 0.276149 | − | 0.103549i | ||||
\(815\) | 0.286497 | − | 0.188432i | 0.0100355 | − | 0.00660048i | ||||
\(816\) | 9.45361 | + | 40.0502i | 0.330943 | + | 1.40204i | ||||
\(817\) | −10.1263 | + | 10.7332i | −0.354273 | + | 0.375508i | ||||
\(818\) | 17.8208 | + | 11.4753i | 0.623091 | + | 0.401226i | ||||
\(819\) | −1.98880 | + | 2.88918i | −0.0694942 | + | 0.100956i | ||||
\(820\) | −8.14836 | − | 5.82446i | −0.284553 | − | 0.203399i | ||||
\(821\) | 6.85979 | − | 3.44512i | 0.239408 | − | 0.120235i | −0.325050 | − | 0.945697i | \(-0.605381\pi\) |
0.564459 | + | 0.825461i | \(0.309085\pi\) | |||||||
\(822\) | 1.34731 | − | 44.9648i | 0.0469929 | − | 1.56833i | ||||
\(823\) | −13.0939 | + | 5.64815i | −0.456424 | + | 0.196882i | −0.611864 | − | 0.790963i | \(-0.709580\pi\) |
0.155439 | + | 0.987845i | \(0.450321\pi\) | |||||||
\(824\) | 10.6216 | + | 39.6474i | 0.370021 | + | 1.38118i | ||||
\(825\) | −4.32646 | + | 3.76920i | −0.150628 | + | 0.131227i | ||||
\(826\) | 0.0283583 | + | 0.417257i | 0.000986712 | + | 0.0145182i | ||||
\(827\) | 29.4111 | + | 35.0508i | 1.02273 | + | 1.21884i | 0.975511 | + | 0.219952i | \(0.0705900\pi\) |
0.0472146 | + | 0.998885i | \(0.484966\pi\) | |||||||
\(828\) | 18.5190 | + | 1.11079i | 0.643580 | + | 0.0386027i | ||||
\(829\) | −24.2841 | + | 28.9406i | −0.843421 | + | 1.00515i | 0.156426 | + | 0.987690i | \(0.450003\pi\) |
−0.999848 | + | 0.0174606i | \(0.994442\pi\) | |||||||
\(830\) | 9.72131 | + | 7.09200i | 0.337431 | + | 0.246167i | ||||
\(831\) | 6.71385 | + | 14.8036i | 0.232901 | + | 0.513530i | ||||
\(832\) | −13.4172 | − | 44.8309i | −0.465158 | − | 1.55423i | ||||
\(833\) | −30.0696 | + | 28.3692i | −1.04185 | + | 0.982936i | ||||
\(834\) | 15.7473 | − | 33.6941i | 0.545286 | − | 1.16673i | ||||
\(835\) | 0.00182784 | − | 0.00423741i | 6.32550e−5 | − | 0.000146642i | ||||
\(836\) | −5.82427 | + | 5.71207i | −0.201437 | + | 0.197556i | ||||
\(837\) | −1.44162 | + | 1.06753i | −0.0498295 | + | 0.0368993i | ||||
\(838\) | −5.25342 | − | 2.20603i | −0.181476 | − | 0.0762059i | ||||
\(839\) | 47.0161 | − | 5.49539i | 1.62318 | − | 0.189722i | 0.744663 | − | 0.667440i | \(-0.232610\pi\) |
0.878513 | + | 0.477718i | \(0.158536\pi\) | |||||||
\(840\) | −0.409090 | + | 1.08797i | −0.0141150 | + | 0.0375386i | ||||
\(841\) | −9.46693 | + | 2.24370i | −0.326446 | + | 0.0773691i | ||||
\(842\) | −26.2766 | − | 30.7065i | −0.905552 | − | 1.05822i | ||||
\(843\) | 19.0248 | − | 13.0244i | 0.655249 | − | 0.448586i | ||||
\(844\) | −18.8339 | + | 34.1309i | −0.648291 | + | 1.17483i | ||||
\(845\) | −4.37321 | + | 24.8017i | −0.150443 | + | 0.853205i | ||||
\(846\) | 29.6857 | + | 28.6544i | 1.02062 | + | 0.985160i | ||||
\(847\) | −1.99771 | + | 0.352250i | −0.0686422 | + | 0.0121035i | ||||
\(848\) | −14.6616 | + | 21.3744i | −0.503480 | + | 0.734000i | ||||
\(849\) | −0.444402 | − | 23.9656i | −0.0152519 | − | 0.822497i | ||||
\(850\) | 0.292028 | + | 30.1620i | 0.0100165 | + | 1.03455i | ||||
\(851\) | −15.9956 | − | 11.9083i | −0.548322 | − | 0.408211i | ||||
\(852\) | 18.1347 | + | 4.68823i | 0.621285 | + | 0.160616i | ||||
\(853\) | −13.1418 | − | 0.765425i | −0.449968 | − | 0.0262077i | −0.168335 | − | 0.985730i | \(-0.553839\pi\) |
−0.281633 | + | 0.959522i | \(0.590876\pi\) | |||||||
\(854\) | 0.943269 | − | 1.01940i | 0.0322780 | − | 0.0348832i | ||||
\(855\) | −5.69590 | + | 14.6783i | −0.194796 | + | 0.501988i | ||||
\(856\) | 20.1949 | − | 4.16900i | 0.690249 | − | 0.142493i | ||||
\(857\) | 6.85998 | − | 28.9445i | 0.234333 | − | 0.988727i | −0.720939 | − | 0.692998i | \(-0.756289\pi\) |
0.955272 | − | 0.295729i | \(-0.0955624\pi\) | |||||||
\(858\) | −4.16871 | + | 12.5441i | −0.142317 | + | 0.428247i | ||||
\(859\) | 2.01568 | + | 34.6078i | 0.0687740 | + | 1.18080i | 0.839399 | + | 0.543515i | \(0.182907\pi\) |
−0.770625 | + | 0.637288i | \(0.780056\pi\) | |||||||
\(860\) | −0.307469 | + | 7.91758i | −0.0104846 | + | 0.269987i | ||||
\(861\) | −1.08078 | − | 0.982435i | −0.0368329 | − | 0.0334813i | ||||
\(862\) | −38.7630 | − | 40.2976i | −1.32027 | − | 1.37254i | ||||
\(863\) | 23.8075 | + | 41.2358i | 0.810417 | + | 1.40368i | 0.912572 | + | 0.408915i | \(0.134093\pi\) |
−0.102155 | + | 0.994768i | \(0.532574\pi\) | |||||||
\(864\) | −15.8483 | − | 24.7554i | −0.539172 | − | 0.842196i | ||||
\(865\) | −3.45162 | + | 5.97839i | −0.117359 | + | 0.203271i | ||||
\(866\) | −28.9021 | + | 7.14615i | −0.982133 | + | 0.242836i | ||||
\(867\) | −14.7312 | − | 28.0243i | −0.500297 | − | 0.951754i | ||||
\(868\) | −0.122104 | + | 0.0643130i | −0.00414447 | + | 0.00218292i | ||||
\(869\) | −11.3589 | − | 5.70467i | −0.385325 | − | 0.193518i | ||||
\(870\) | 11.2298 | + | 6.06759i | 0.380724 | + | 0.205710i | ||||
\(871\) | −39.5269 | + | 11.8336i | −1.33932 | + | 0.400966i | ||||
\(872\) | 7.47289 | − | 22.5486i | 0.253064 | − | 0.763593i | ||||
\(873\) | −18.4466 | + | 16.6822i | −0.624324 | + | 0.564608i | ||||
\(874\) | 18.8546 | + | 4.27626i | 0.637766 | + | 0.144647i | ||||
\(875\) | −1.12007 | + | 1.70298i | −0.0378652 | + | 0.0575712i | ||||
\(876\) | 51.1107 | − | 24.3841i | 1.72687 | − | 0.823864i | ||||
\(877\) | 4.73026 | − | 40.4699i | 0.159729 | − | 1.36657i | −0.640998 | − | 0.767543i | \(-0.721479\pi\) |
0.800727 | − | 0.599029i | \(-0.204447\pi\) | |||||||
\(878\) | 47.8666 | + | 27.0213i | 1.61542 | + | 0.911925i | ||||
\(879\) | 31.6591 | − | 39.1829i | 1.06784 | − | 1.32160i | ||||
\(880\) | −0.339708 | + | 4.36728i | −0.0114516 | + | 0.147221i | ||||
\(881\) | −2.78857 | + | 7.66154i | −0.0939494 | + | 0.258124i | −0.977762 | − | 0.209717i | \(-0.932746\pi\) |
0.883813 | + | 0.467841i | \(0.154968\pi\) | |||||||
\(882\) | 13.5529 | − | 26.2351i | 0.456350 | − | 0.883382i | ||||
\(883\) | −23.0417 | + | 8.38649i | −0.775414 | + | 0.282228i | −0.699259 | − | 0.714868i | \(-0.746487\pi\) |
−0.0761552 | + | 0.997096i | \(0.524264\pi\) | |||||||
\(884\) | 35.9021 | + | 59.4935i | 1.20752 | + | 2.00098i | ||||
\(885\) | 2.12818 | + | 2.17355i | 0.0715379 | + | 0.0730632i | ||||
\(886\) | 12.4717 | − | 35.3262i | 0.418995 | − | 1.18681i | ||||
\(887\) | −5.88078 | + | 19.6432i | −0.197457 | + | 0.659553i | 0.800711 | + | 0.599051i | \(0.204455\pi\) |
−0.998168 | + | 0.0605022i | \(0.980730\pi\) | |||||||
\(888\) | −0.334629 | + | 31.5933i | −0.0112294 | + | 1.06020i | ||||
\(889\) | −1.77001 | − | 2.37753i | −0.0593641 | − | 0.0797398i | ||||
\(890\) | −6.72560 | + | 5.10897i | −0.225443 | + | 0.171253i | ||||
\(891\) | −0.350205 | + | 8.29566i | −0.0117323 | + | 0.277915i | ||||
\(892\) | 34.8404 | + | 9.69959i | 1.16654 | + | 0.324766i | ||||
\(893\) | 25.6757 | + | 34.4884i | 0.859205 | + | 1.15411i | ||||
\(894\) | −11.2860 | + | 11.2665i | −0.377462 | + | 0.376808i | ||||
\(895\) | 9.19565 | + | 2.75300i | 0.307377 | + | 0.0920226i | ||||
\(896\) | −0.915555 | − | 2.06772i | −0.0305866 | − | 0.0690777i | ||||
\(897\) | 30.3436 | − | 7.78847i | 1.01314 | − | 0.260049i | ||||
\(898\) | −4.56409 | + | 42.6232i | −0.152306 | + | 1.42235i | ||||
\(899\) | 0.518328 | + | 1.42409i | 0.0172872 | + | 0.0474962i | ||||
\(900\) | −7.33396 | − | 20.2590i | −0.244465 | − | 0.675300i | ||||
\(901\) | 13.1637 | − | 36.1670i | 0.438547 | − | 1.20490i | ||||
\(902\) | −4.94259 | − | 2.42263i | −0.164570 | − | 0.0806646i | ||||
\(903\) | −0.179509 | + | 1.14141i | −0.00597369 | + | 0.0379838i | ||||
\(904\) | 6.17157 | − | 6.17103i | 0.205263 | − | 0.205245i | ||||
\(905\) | 1.15571 | − | 9.88775i | 0.0384172 | − | 0.328680i | ||||
\(906\) | −38.0541 | + | 42.6865i | −1.26426 | + | 1.41816i | ||||
\(907\) | −12.2884 | − | 8.08218i | −0.408028 | − | 0.268365i | 0.328860 | − | 0.944379i | \(-0.393335\pi\) |
−0.736889 | + | 0.676014i | \(0.763706\pi\) | |||||||
\(908\) | −8.16919 | + | 3.71307i | −0.271104 | + | 0.123222i | ||||
\(909\) | −25.7763 | + | 0.956286i | −0.854945 | + | 0.0317180i | ||||
\(910\) | −0.0951467 | + | 1.96041i | −0.00315408 | + | 0.0649871i | ||||
\(911\) | −10.2450 | − | 34.2208i | −0.339433 | − | 1.13379i | −0.941970 | − | 0.335696i | \(-0.891029\pi\) |
0.602537 | − | 0.798091i | \(-0.294157\pi\) | |||||||
\(912\) | −12.1069 | − | 28.1374i | −0.400901 | − | 0.931722i | ||||
\(913\) | 5.90961 | + | 2.96792i | 0.195579 | + | 0.0982237i | ||||
\(914\) | −3.31228 | + | 19.9102i | −0.109560 | + | 0.658570i | ||||
\(915\) | 0.400301 | − | 10.0940i | 0.0132336 | − | 0.333699i | ||||
\(916\) | 17.9818 | − | 22.2926i | 0.594135 | − | 0.736567i | ||||
\(917\) | −1.08907 | + | 1.88633i | −0.0359644 | + | 0.0622921i | ||||
\(918\) | 31.9604 | + | 29.7254i | 1.05485 | + | 0.981084i | ||||
\(919\) | 29.5480 | − | 17.0595i | 0.974698 | − | 0.562742i | 0.0740330 | − | 0.997256i | \(-0.476413\pi\) |
0.900665 | + | 0.434513i | \(0.143080\pi\) | |||||||
\(920\) | 9.13795 | − | 4.92662i | 0.301269 | − | 0.162426i | ||||
\(921\) | 1.40452 | − | 6.45742i | 0.0462806 | − | 0.212779i | ||||
\(922\) | −17.0081 | − | 13.9931i | −0.560132 | − | 0.460840i | ||||
\(923\) | 31.5753 | − | 1.83905i | 1.03931 | − | 0.0605332i | ||||
\(924\) | −0.123652 | + | 0.626694i | −0.00406785 | + | 0.0206167i | ||||
\(925\) | −5.34085 | + | 22.5348i | −0.175606 | + | 0.740940i | ||||
\(926\) | 14.0890 | + | 27.3890i | 0.462993 | + | 0.900060i | ||||
\(927\) | 32.7523 | + | 28.6812i | 1.07573 | + | 0.942014i | ||||
\(928\) | −23.8580 | + | 6.88938i | −0.783176 | + | 0.226155i | ||||
\(929\) | 20.0642 | + | 1.16861i | 0.658287 | + | 0.0383408i | 0.384037 | − | 0.923318i | \(-0.374534\pi\) |
0.274250 | + | 0.961659i | \(0.411571\pi\) | |||||||
\(930\) | −0.371414 | + | 0.932551i | −0.0121791 | + | 0.0305795i | ||||
\(931\) | 18.3760 | − | 24.6832i | 0.602248 | − | 0.808959i | ||||
\(932\) | 46.1036 | − | 35.7308i | 1.51017 | − | 1.17040i | ||||
\(933\) | −29.2900 | − | 16.1941i | −0.958912 | − | 0.530171i | ||||
\(934\) | 10.6862 | + | 15.9098i | 0.349662 | + | 0.520586i | ||||
\(935\) | −1.12951 | − | 6.40576i | −0.0369389 | − | 0.209491i | ||||
\(936\) | −38.2744 | − | 31.6010i | −1.25104 | − | 1.03291i | ||||
\(937\) | −5.10356 | + | 28.9437i | −0.166726 | + | 0.945550i | 0.780541 | + | 0.625105i | \(0.214944\pi\) |
−0.947267 | + | 0.320445i | \(0.896167\pi\) | |||||||
\(938\) | −1.82307 | + | 0.807417i | −0.0595252 | + | 0.0263631i | ||||
\(939\) | −14.8529 | + | 30.9944i | −0.484706 | + | 1.01146i | ||||
\(940\) | 22.5642 | + | 4.88840i | 0.735963 | + | 0.159442i | ||||
\(941\) | 53.3784 | − | 12.6509i | 1.74009 | − | 0.412408i | 0.766779 | − | 0.641911i | \(-0.221858\pi\) |
0.973308 | + | 0.229503i | \(0.0737100\pi\) | |||||||
\(942\) | 3.77221 | − | 5.37735i | 0.122905 | − | 0.175204i | ||||
\(943\) | 1.51444 | + | 12.9568i | 0.0493168 | + | 0.421932i | ||||
\(944\) | −5.91704 | − | 0.115106i | −0.192583 | − | 0.00374639i | ||||
\(945\) | 0.281250 | + | 1.20034i | 0.00914907 | + | 0.0390471i | ||||
\(946\) | 0.547371 | + | 4.31992i | 0.0177966 | + | 0.140453i | ||||
\(947\) | −4.82609 | − | 2.08177i | −0.156827 | − | 0.0676485i | 0.316219 | − | 0.948686i | \(-0.397586\pi\) |
−0.473046 | + | 0.881038i | \(0.656846\pi\) | |||||||
\(948\) | 35.3729 | − | 32.0425i | 1.14886 | − | 1.04069i | ||||
\(949\) | 69.5543 | − | 65.6211i | 2.25783 | − | 2.13015i | ||||
\(950\) | −4.11278 | − | 22.0729i | −0.133436 | − | 0.716140i | ||||
\(951\) | −1.56983 | + | 15.9979i | −0.0509052 | + | 0.518767i | ||||
\(952\) | 2.08257 | + | 2.63407i | 0.0674964 | + | 0.0853708i | ||||
\(953\) | 25.4868 | − | 30.3739i | 0.825597 | − | 0.983908i | −0.174403 | − | 0.984674i | \(-0.555799\pi\) |
1.00000 | 0.000766292i | \(0.000243918\pi\) | ||||||||
\(954\) | −0.313773 | + | 27.4901i | −0.0101588 | + | 0.890026i | ||||
\(955\) | −10.9512 | + | 9.18918i | −0.354374 | + | 0.297355i | ||||
\(956\) | −24.0569 | + | 20.9931i | −0.778055 | + | 0.678966i | ||||
\(957\) | 6.63496 | + | 2.27653i | 0.214478 | + | 0.0735898i | ||||
\(958\) | 25.1142 | + | 42.5424i | 0.811402 | + | 1.37448i | ||||
\(959\) | −1.45391 | − | 3.37054i | −0.0469492 | − | 0.108841i | ||||
\(960\) | −14.8323 | − | 7.10941i | −0.478710 | − | 0.229455i | ||||
\(961\) | 27.5961 | − | 13.8593i | 0.890197 | − | 0.447074i | ||||
\(962\) | 15.7954 | + | 50.9592i | 0.509263 | + | 1.64299i | ||||
\(963\) | 15.3415 | − | 15.5887i | 0.494372 | − | 0.502339i | ||||
\(964\) | −0.326005 | − | 4.19587i | −0.0104999 | − | 0.135140i | ||||
\(965\) | 16.7684 | − | 17.7735i | 0.539795 | − | 0.572150i | ||||
\(966\) | 1.40738 | − | 0.557707i | 0.0452818 | − | 0.0179439i | ||||
\(967\) | 16.7221 | + | 25.4247i | 0.537745 | + | 0.817602i | 0.997516 | − | 0.0704355i | \(-0.0224389\pi\) |
−0.459771 | + | 0.888037i | \(0.652069\pi\) | |||||||
\(968\) | −2.50059 | − | 28.5962i | −0.0803719 | − | 0.919118i | ||||
\(969\) | 27.8334 | + | 35.9746i | 0.894139 | + | 1.15567i | ||||
\(970\) | −3.86226 | + | 13.3707i | −0.124010 | + | 0.429306i | ||||
\(971\) | 56.2300i | 1.80451i | 0.431206 | + | 0.902254i | \(0.358088\pi\) | ||||
−0.431206 | + | 0.902254i | \(0.641912\pi\) | |||||||
\(972\) | −28.5740 | − | 12.4711i | −0.916510 | − | 0.400011i | ||||
\(973\) | − | 3.03487i | − | 0.0972936i | ||||||
\(974\) | −6.28372 | − | 1.81512i | −0.201343 | − | 0.0581603i | ||||
\(975\) | −22.2630 | − | 28.7748i | −0.712986 | − | 0.921531i | ||||
\(976\) | 13.2065 | + | 14.5551i | 0.422729 | + | 0.465896i | ||||
\(977\) | 12.1900 | + | 18.5339i | 0.389991 | + | 0.592953i | 0.976111 | − | 0.217271i | \(-0.0697156\pi\) |
−0.586120 | + | 0.810224i | \(0.699345\pi\) | |||||||
\(978\) | 0.260682 | + | 0.657835i | 0.00833569 | + | 0.0210353i | ||||
\(979\) | −3.18526 | + | 3.37617i | −0.101801 | + | 0.107903i | ||||
\(980\) | −1.27998 | − | 16.4741i | −0.0408875 | − | 0.526245i | ||||
\(981\) | −6.71544 | − | 24.2842i | −0.214408 | − | 0.775335i | ||||
\(982\) | 37.6290 | − | 11.6635i | 1.20079 | − | 0.372198i | ||||
\(983\) | −9.57304 | + | 4.80776i | −0.305333 | + | 0.153344i | −0.594868 | − | 0.803824i | \(-0.702796\pi\) |
0.289535 | + | 0.957167i | \(0.406499\pi\) | |||||||
\(984\) | 15.1829 | − | 14.0234i | 0.484014 | − | 0.447050i | ||||
\(985\) | −2.42447 | − | 5.62056i | −0.0772502 | − | 0.179086i | ||||
\(986\) | 31.7541 | − | 18.7454i | 1.01126 | − | 0.596976i | ||||
\(987\) | 3.18450 | + | 1.09264i | 0.101364 | + | 0.0347790i | ||||
\(988\) | −34.0086 | − | 38.9718i | −1.08196 | − | 1.23986i | ||||
\(989\) | 7.90541 | − | 6.63342i | 0.251377 | − | 0.210931i | ||||
\(990\) | 2.27702 | + | 4.04997i | 0.0723684 | + | 0.128717i | ||||
\(991\) | −20.5537 | + | 24.4950i | −0.652911 | + | 0.778109i | −0.986350 | − | 0.164662i | \(-0.947347\pi\) |
0.333439 | + | 0.942772i | \(0.391791\pi\) | |||||||
\(992\) | −0.755946 | − | 1.80065i | −0.0240013 | − | 0.0571706i | ||||
\(993\) | 5.33782 | − | 54.3970i | 0.169391 | − | 1.72624i | ||||
\(994\) | 1.50257 | − | 0.279970i | 0.0476587 | − | 0.00888011i | ||||
\(995\) | 4.38977 | − | 4.14153i | 0.139165 | − | 0.131295i | ||||
\(996\) | −18.4032 | + | 16.6705i | −0.583127 | + | 0.528224i | ||||
\(997\) | 55.2769 | + | 23.8441i | 1.75064 | + | 0.755151i | 0.994968 | + | 0.100197i | \(0.0319474\pi\) |
0.755669 | + | 0.654954i | \(0.227312\pi\) | |||||||
\(998\) | −38.4312 | + | 4.86957i | −1.21652 | + | 0.154143i | ||||
\(999\) | 18.3434 | + | 28.0455i | 0.580358 | + | 0.887319i |
(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 | 648.2.bb.b.155.43 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.2 | ✓ | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.2 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.43 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.2 | ✓ | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.155.43 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.347.2 | yes | 1872 | 81.23 | odd | 54 | inner | |
648.2.bb.b.347.43 | yes | 1872 | 648.347 | even | 54 | inner |