Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.10 | ||
Character | \(\chi\) | \(=\) | 483.121 |
Dual form | 483.2.y.a.4.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327609 | + | 0.460062i | 0.231654 | + | 0.325313i | 0.913998 | − | 0.405718i | \(-0.132979\pi\) |
−0.682344 | + | 0.731031i | \(0.739039\pi\) | |||||||
\(3\) | −0.235759 | − | 0.971812i | −0.136115 | − | 0.561076i | ||||
\(4\) | 0.549806 | − | 1.58856i | 0.274903 | − | 0.794280i | ||||
\(5\) | −0.198810 | − | 4.17354i | −0.0889105 | − | 1.86646i | −0.400567 | − | 0.916267i | \(-0.631187\pi\) |
0.311657 | − | 0.950195i | \(-0.399116\pi\) | |||||||
\(6\) | 0.369857 | − | 0.426838i | 0.150994 | − | 0.174256i | ||||
\(7\) | 2.54045 | − | 0.738979i | 0.960202 | − | 0.279308i | ||||
\(8\) | 1.99478 | − | 0.585719i | 0.705260 | − | 0.207083i | ||||
\(9\) | −0.888835 | + | 0.458227i | −0.296278 | + | 0.152742i | ||||
\(10\) | 1.85495 | − | 1.45875i | 0.586588 | − | 0.461298i | ||||
\(11\) | −3.13960 | + | 4.40895i | −0.946624 | + | 1.32935i | −0.00241619 | + | 0.999997i | \(0.500769\pi\) |
−0.944208 | + | 0.329350i | \(0.893170\pi\) | |||||||
\(12\) | −1.67340 | − | 0.159791i | −0.483070 | − | 0.0461276i | ||||
\(13\) | 0.0787052 | + | 0.547407i | 0.0218289 | + | 0.151823i | 0.997821 | − | 0.0659840i | \(-0.0210186\pi\) |
−0.975992 | + | 0.217807i | \(0.930110\pi\) | |||||||
\(14\) | 1.17225 | + | 0.926671i | 0.313297 | + | 0.247663i | ||||
\(15\) | −4.00902 | + | 1.17715i | −1.03512 | + | 0.303940i | ||||
\(16\) | −1.71976 | − | 1.35243i | −0.429940 | − | 0.338109i | ||||
\(17\) | −1.13830 | − | 0.219389i | −0.276078 | − | 0.0532097i | 0.0493327 | − | 0.998782i | \(-0.484291\pi\) |
−0.325411 | + | 0.945573i | \(0.605503\pi\) | |||||||
\(18\) | −0.502003 | − | 0.258801i | −0.118323 | − | 0.0609999i | ||||
\(19\) | 3.13924 | − | 0.605038i | 0.720191 | − | 0.138805i | 0.184029 | − | 0.982921i | \(-0.441086\pi\) |
0.536161 | + | 0.844115i | \(0.319874\pi\) | |||||||
\(20\) | −6.73922 | − | 1.97881i | −1.50694 | − | 0.442476i | ||||
\(21\) | −1.31708 | − | 2.29462i | −0.287411 | − | 0.500728i | ||||
\(22\) | −3.05695 | −0.651744 | ||||||||
\(23\) | 3.87686 | + | 2.82311i | 0.808382 | + | 0.588659i | ||||
\(24\) | −1.03950 | − | 1.80046i | −0.212186 | − | 0.367517i | ||||
\(25\) | −12.4015 | + | 1.18420i | −2.48030 | + | 0.236840i | ||||
\(26\) | −0.226057 | + | 0.215545i | −0.0443334 | + | 0.0422718i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | 0.222845 | − | 4.44196i | 0.0421137 | − | 0.839452i | ||||
\(29\) | −2.55233 | + | 2.94555i | −0.473956 | + | 0.546974i | −0.941508 | − | 0.336992i | \(-0.890591\pi\) |
0.467552 | + | 0.883966i | \(0.345136\pi\) | |||||||
\(30\) | −1.85495 | − | 1.45875i | −0.338667 | − | 0.266330i | ||||
\(31\) | 3.98940 | + | 3.80388i | 0.716517 | + | 0.683197i | 0.957858 | − | 0.287243i | \(-0.0927388\pi\) |
−0.241341 | + | 0.970440i | \(0.577587\pi\) | |||||||
\(32\) | 0.256640 | − | 5.38754i | 0.0453680 | − | 0.952391i | ||||
\(33\) | 5.02485 | + | 2.01165i | 0.874715 | + | 0.350183i | ||||
\(34\) | −0.271984 | − | 0.595563i | −0.0466449 | − | 0.102138i | ||||
\(35\) | −3.58922 | − | 10.4558i | −0.606689 | − | 1.76735i | ||||
\(36\) | 0.239233 | + | 1.66390i | 0.0398722 | + | 0.277317i | ||||
\(37\) | 8.01091 | − | 4.12991i | 1.31699 | − | 0.678953i | 0.350715 | − | 0.936482i | \(-0.385939\pi\) |
0.966271 | + | 0.257529i | \(0.0829082\pi\) | |||||||
\(38\) | 1.30680 | + | 1.24603i | 0.211990 | + | 0.202133i | ||||
\(39\) | 0.513421 | − | 0.205543i | 0.0822132 | − | 0.0329132i | ||||
\(40\) | −2.84110 | − | 8.20883i | −0.449218 | − | 1.29793i | ||||
\(41\) | 2.12944 | − | 1.36851i | 0.332563 | − | 0.213725i | −0.363693 | − | 0.931519i | \(-0.618484\pi\) |
0.696256 | + | 0.717794i | \(0.254848\pi\) | |||||||
\(42\) | 0.624181 | − | 1.35768i | 0.0963132 | − | 0.209494i | ||||
\(43\) | 0.539191 | + | 0.158321i | 0.0822258 | + | 0.0241437i | 0.322587 | − | 0.946540i | \(-0.395448\pi\) |
−0.240361 | + | 0.970684i | \(0.577266\pi\) | |||||||
\(44\) | 5.27771 | + | 7.41151i | 0.795645 | + | 1.11733i | ||||
\(45\) | 2.08913 | + | 3.61849i | 0.311430 | + | 0.539412i | ||||
\(46\) | −0.0287104 | + | 2.70847i | −0.00423312 | + | 0.399343i | ||||
\(47\) | 3.26385 | − | 5.65316i | 0.476082 | − | 0.824598i | −0.523543 | − | 0.852000i | \(-0.675390\pi\) |
0.999625 | + | 0.0274014i | \(0.00872323\pi\) | |||||||
\(48\) | −0.908863 | + | 1.99013i | −0.131183 | + | 0.287251i | ||||
\(49\) | 5.90782 | − | 3.75468i | 0.843974 | − | 0.536384i | ||||
\(50\) | −4.60765 | − | 5.31751i | −0.651620 | − | 0.752010i | ||||
\(51\) | 0.0551593 | + | 1.15794i | 0.00772385 | + | 0.162143i | ||||
\(52\) | 0.912862 | + | 0.175940i | 0.126591 | + | 0.0243985i | ||||
\(53\) | −12.0938 | + | 4.84162i | −1.66121 | + | 0.665047i | −0.996619 | − | 0.0821615i | \(-0.973818\pi\) |
−0.664589 | + | 0.747209i | \(0.731393\pi\) | |||||||
\(54\) | −0.133154 | + | 0.548867i | −0.0181199 | + | 0.0746913i | ||||
\(55\) | 19.0251 | + | 12.2267i | 2.56534 | + | 1.64864i | ||||
\(56\) | 4.63481 | − | 2.96209i | 0.619352 | − | 0.395826i | ||||
\(57\) | −1.32809 | − | 2.90810i | −0.175909 | − | 0.385188i | ||||
\(58\) | −2.19130 | − | 0.209244i | −0.287732 | − | 0.0274751i | ||||
\(59\) | −0.280999 | + | 0.220980i | −0.0365830 | + | 0.0287692i | −0.636283 | − | 0.771456i | \(-0.719529\pi\) |
0.599700 | + | 0.800225i | \(0.295287\pi\) | |||||||
\(60\) | −0.334203 | + | 7.01578i | −0.0431454 | + | 0.905733i | ||||
\(61\) | −2.36368 | + | 9.74321i | −0.302638 | + | 1.24749i | 0.593906 | + | 0.804535i | \(0.297585\pi\) |
−0.896543 | + | 0.442956i | \(0.853930\pi\) | |||||||
\(62\) | −0.443061 | + | 3.08155i | −0.0562688 | + | 0.391358i | ||||
\(63\) | −1.91943 | + | 1.82093i | −0.241825 | + | 0.229416i | ||||
\(64\) | −1.11838 | + | 0.718740i | −0.139798 | + | 0.0898425i | ||||
\(65\) | 2.26898 | − | 0.437309i | 0.281432 | − | 0.0542415i | ||||
\(66\) | 0.720703 | + | 2.97078i | 0.0887124 | + | 0.365678i | ||||
\(67\) | 5.66789 | − | 0.541218i | 0.692443 | − | 0.0661203i | 0.257100 | − | 0.966385i | \(-0.417233\pi\) |
0.435343 | + | 0.900265i | \(0.356627\pi\) | |||||||
\(68\) | −0.974358 | + | 1.68764i | −0.118158 | + | 0.204656i | ||||
\(69\) | 1.82952 | − | 4.43315i | 0.220249 | − | 0.533689i | ||||
\(70\) | 3.63444 | − | 5.07667i | 0.434399 | − | 0.606778i | ||||
\(71\) | 4.93700 | − | 10.8105i | 0.585914 | − | 1.28297i | −0.351965 | − | 0.936013i | \(-0.614487\pi\) |
0.937880 | − | 0.346960i | \(-0.112786\pi\) | |||||||
\(72\) | −1.50464 | + | 1.43467i | −0.177323 | + | 0.169077i | ||||
\(73\) | 2.79788 | − | 8.08395i | 0.327467 | − | 0.946155i | −0.654328 | − | 0.756211i | \(-0.727048\pi\) |
0.981795 | − | 0.189944i | \(-0.0608306\pi\) | |||||||
\(74\) | 4.52446 | + | 2.33252i | 0.525958 | + | 0.271150i | ||||
\(75\) | 4.07459 | + | 11.7728i | 0.470493 | + | 1.35940i | ||||
\(76\) | 0.764832 | − | 5.31952i | 0.0877323 | − | 0.610191i | ||||
\(77\) | −4.71788 | + | 13.5208i | −0.537653 | + | 1.54084i | ||||
\(78\) | 0.262764 | + | 0.168868i | 0.0297521 | + | 0.0191205i | ||||
\(79\) | −7.82987 | − | 3.13461i | −0.880929 | − | 0.352671i | −0.113297 | − | 0.993561i | \(-0.536141\pi\) |
−0.767633 | + | 0.640890i | \(0.778565\pi\) | |||||||
\(80\) | −5.30253 | + | 7.44636i | −0.592841 | + | 0.832528i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | 1.32722 | + | 0.531340i | 0.146567 | + | 0.0586767i | ||||
\(83\) | −12.0330 | − | 7.73311i | −1.32079 | − | 0.848820i | −0.325478 | − | 0.945549i | \(-0.605525\pi\) |
−0.995311 | + | 0.0967299i | \(0.969162\pi\) | |||||||
\(84\) | −4.36929 | + | 0.830669i | −0.476728 | + | 0.0906334i | ||||
\(85\) | −0.689324 | + | 4.79435i | −0.0747677 | + | 0.520021i | ||||
\(86\) | 0.103806 | + | 0.299928i | 0.0111937 | + | 0.0323421i | ||||
\(87\) | 3.46425 | + | 1.78594i | 0.371407 | + | 0.191473i | ||||
\(88\) | −3.68039 | + | 10.6338i | −0.392331 | + | 1.13357i | ||||
\(89\) | 1.39934 | − | 1.33426i | 0.148329 | − | 0.141432i | −0.612281 | − | 0.790640i | \(-0.709748\pi\) |
0.760611 | + | 0.649208i | \(0.224900\pi\) | |||||||
\(90\) | −0.980310 | + | 2.14658i | −0.103334 | + | 0.226269i | ||||
\(91\) | 0.604469 | + | 1.33250i | 0.0633656 | + | 0.139684i | ||||
\(92\) | 6.61620 | − | 4.60647i | 0.689787 | − | 0.480258i | ||||
\(93\) | 2.75612 | − | 4.77374i | 0.285796 | − | 0.495014i | ||||
\(94\) | 3.67007 | − | 0.350449i | 0.378539 | − | 0.0361461i | ||||
\(95\) | −3.14926 | − | 12.9814i | −0.323107 | − | 1.33187i | ||||
\(96\) | −5.29618 | + | 1.02075i | −0.540539 | + | 0.104180i | ||||
\(97\) | 8.34279 | − | 5.36158i | 0.847082 | − | 0.544386i | −0.0435816 | − | 0.999050i | \(-0.513877\pi\) |
0.890663 | + | 0.454664i | \(0.150240\pi\) | |||||||
\(98\) | 3.66284 | + | 1.48790i | 0.370003 | + | 0.150300i | ||||
\(99\) | 0.770289 | − | 5.35747i | 0.0774169 | − | 0.538446i | ||||
\(100\) | −4.93726 | + | 20.3516i | −0.493726 | + | 2.03516i | ||||
\(101\) | −0.392219 | + | 8.23368i | −0.0390272 | + | 0.819282i | 0.891491 | + | 0.453037i | \(0.149660\pi\) |
−0.930519 | + | 0.366244i | \(0.880643\pi\) | |||||||
\(102\) | −0.514652 | + | 0.404727i | −0.0509581 | + | 0.0400739i | ||||
\(103\) | −3.67115 | − | 0.350552i | −0.361729 | − | 0.0345409i | −0.0873906 | − | 0.996174i | \(-0.527853\pi\) |
−0.274338 | + | 0.961633i | \(0.588459\pi\) | |||||||
\(104\) | 0.477626 | + | 1.04586i | 0.0468351 | + | 0.102555i | ||||
\(105\) | −9.31484 | + | 5.95309i | −0.909035 | + | 0.580962i | ||||
\(106\) | −6.18947 | − | 3.97773i | −0.601175 | − | 0.386352i | ||||
\(107\) | −2.50468 | + | 10.3244i | −0.242136 | + | 0.998100i | 0.712818 | + | 0.701349i | \(0.247418\pi\) |
−0.954955 | + | 0.296751i | \(0.904097\pi\) | |||||||
\(108\) | 1.56060 | − | 0.624770i | 0.150169 | − | 0.0601185i | ||||
\(109\) | −3.57704 | − | 0.689419i | −0.342619 | − | 0.0660343i | 0.0150396 | − | 0.999887i | \(-0.495213\pi\) |
−0.357658 | + | 0.933853i | \(0.616425\pi\) | |||||||
\(110\) | 0.607752 | + | 12.7583i | 0.0579469 | + | 1.21645i | ||||
\(111\) | −5.90214 | − | 6.81143i | −0.560206 | − | 0.646513i | ||||
\(112\) | −5.36840 | − | 2.16493i | −0.507266 | − | 0.204567i | ||||
\(113\) | 1.57743 | − | 3.45409i | 0.148392 | − | 0.324934i | −0.820809 | − | 0.571202i | \(-0.806477\pi\) |
0.969202 | + | 0.246269i | \(0.0792045\pi\) | |||||||
\(114\) | 0.902816 | − | 1.56372i | 0.0845565 | − | 0.146456i | ||||
\(115\) | 11.0116 | − | 16.7415i | 1.02684 | − | 1.56115i | ||||
\(116\) | 3.27589 | + | 5.67401i | 0.304159 | + | 0.526819i | ||||
\(117\) | −0.320792 | − | 0.450490i | −0.0296573 | − | 0.0416478i | ||||
\(118\) | −0.193722 | − | 0.0568820i | −0.0178336 | − | 0.00523642i | ||||
\(119\) | −3.05392 | + | 0.283831i | −0.279953 | + | 0.0260187i | ||||
\(120\) | −7.30762 | + | 4.69632i | −0.667091 | + | 0.428713i | ||||
\(121\) | −5.98399 | − | 17.2896i | −0.544000 | − | 1.57178i | ||||
\(122\) | −5.25685 | + | 2.10452i | −0.475932 | + | 0.190535i | ||||
\(123\) | −1.83197 | − | 1.74678i | −0.165183 | − | 0.157502i | ||||
\(124\) | 8.23609 | − | 4.24600i | 0.739623 | − | 0.381302i | ||||
\(125\) | 4.43471 | + | 30.8441i | 0.396652 | + | 2.75878i | ||||
\(126\) | −1.46656 | − | 0.286501i | −0.130652 | − | 0.0255236i | ||||
\(127\) | 6.97307 | + | 15.2689i | 0.618760 | + | 1.35490i | 0.916418 | + | 0.400222i | \(0.131067\pi\) |
−0.297658 | + | 0.954673i | \(0.596206\pi\) | |||||||
\(128\) | −10.7116 | − | 4.28829i | −0.946784 | − | 0.379035i | ||||
\(129\) | 0.0267388 | − | 0.561317i | 0.00235422 | − | 0.0494212i | ||||
\(130\) | 0.944526 | + | 0.900603i | 0.0828404 | + | 0.0789881i | ||||
\(131\) | 11.7663 | + | 9.25308i | 1.02802 | + | 0.808446i | 0.981691 | − | 0.190480i | \(-0.0610045\pi\) |
0.0463314 | + | 0.998926i | \(0.485247\pi\) | |||||||
\(132\) | 5.95832 | − | 6.87627i | 0.518605 | − | 0.598502i | ||||
\(133\) | 7.52798 | − | 3.85690i | 0.652759 | − | 0.334436i | ||||
\(134\) | 2.10584 | + | 2.43027i | 0.181917 | + | 0.209944i | ||||
\(135\) | 3.02396 | − | 2.88334i | 0.260261 | − | 0.248158i | ||||
\(136\) | −2.39916 | + | 0.229092i | −0.205726 | + | 0.0196444i | ||||
\(137\) | 11.4279 | + | 19.7938i | 0.976355 | + | 1.69110i | 0.675390 | + | 0.737461i | \(0.263975\pi\) |
0.300965 | + | 0.953635i | \(0.402691\pi\) | |||||||
\(138\) | 2.63889 | − | 0.610645i | 0.224638 | − | 0.0519816i | ||||
\(139\) | −4.17807 | −0.354380 | −0.177190 | − | 0.984177i | \(-0.556701\pi\) | ||||
−0.177190 | + | 0.984177i | \(0.556701\pi\) | |||||||
\(140\) | −18.5830 | − | 0.0469448i | −1.57055 | − | 0.00396756i | ||||
\(141\) | −6.26329 | − | 1.83907i | −0.527464 | − | 0.154877i | ||||
\(142\) | 6.59092 | − | 1.27030i | 0.553098 | − | 0.106601i | ||||
\(143\) | −2.66059 | − | 1.37163i | −0.222490 | − | 0.114701i | ||||
\(144\) | 2.14831 | + | 0.414052i | 0.179025 | + | 0.0345043i | ||||
\(145\) | 12.8008 | + | 10.0666i | 1.06305 | + | 0.835989i | ||||
\(146\) | 4.63573 | − | 1.36117i | 0.383656 | − | 0.112652i | ||||
\(147\) | −5.04167 | − | 4.85609i | −0.415830 | − | 0.400523i | ||||
\(148\) | −2.15617 | − | 14.9965i | −0.177236 | − | 1.23270i | ||||
\(149\) | −2.56804 | − | 0.245218i | −0.210382 | − | 0.0200891i | −0.0106673 | − | 0.999943i | \(-0.503396\pi\) |
−0.199715 | + | 0.979854i | \(0.564002\pi\) | |||||||
\(150\) | −4.08133 | + | 5.73142i | −0.333239 | + | 0.467969i | ||||
\(151\) | −9.95558 | + | 7.82916i | −0.810174 | + | 0.637128i | −0.934839 | − | 0.355071i | \(-0.884457\pi\) |
0.124665 | + | 0.992199i | \(0.460214\pi\) | |||||||
\(152\) | 5.90770 | − | 3.04563i | 0.479177 | − | 0.247033i | ||||
\(153\) | 1.11229 | − | 0.326598i | 0.0899234 | − | 0.0264039i | ||||
\(154\) | −7.76604 | + | 2.25902i | −0.625805 | + | 0.182037i | ||||
\(155\) | 15.0825 | − | 17.4061i | 1.21146 | − | 1.39809i | ||||
\(156\) | −0.0442351 | − | 0.928609i | −0.00354164 | − | 0.0743482i | ||||
\(157\) | −1.90970 | + | 5.51771i | −0.152410 | + | 0.440361i | −0.995198 | − | 0.0978859i | \(-0.968792\pi\) |
0.842787 | + | 0.538247i | \(0.180913\pi\) | |||||||
\(158\) | −1.12302 | − | 4.62915i | −0.0893427 | − | 0.368276i | ||||
\(159\) | 7.55636 | + | 10.6114i | 0.599258 | + | 0.841540i | ||||
\(160\) | −22.5361 | −1.78164 | ||||||||
\(161\) | 11.9352 | + | 4.30706i | 0.940626 | + | 0.339444i | ||||
\(162\) | 0.564787 | 0.0443739 | ||||||||
\(163\) | 8.99895 | + | 12.6373i | 0.704852 | + | 0.989827i | 0.999415 | + | 0.0341946i | \(0.0108866\pi\) |
−0.294563 | + | 0.955632i | \(0.595174\pi\) | |||||||
\(164\) | −1.00318 | − | 4.13516i | −0.0783352 | − | 0.322902i | ||||
\(165\) | 7.39669 | − | 21.3713i | 0.575832 | − | 1.66376i | ||||
\(166\) | −0.384390 | − | 8.06935i | −0.0298345 | − | 0.626303i | ||||
\(167\) | 2.43149 | − | 2.80609i | 0.188155 | − | 0.217142i | −0.653833 | − | 0.756639i | \(-0.726840\pi\) |
0.841988 | + | 0.539497i | \(0.181386\pi\) | |||||||
\(168\) | −3.97129 | − | 3.80582i | −0.306392 | − | 0.293625i | ||||
\(169\) | 12.1799 | − | 3.57636i | 0.936919 | − | 0.275104i | ||||
\(170\) | −2.43153 | + | 1.25354i | −0.186490 | + | 0.0961422i | ||||
\(171\) | −2.51302 | + | 1.97626i | −0.192176 | + | 0.151128i | ||||
\(172\) | 0.547952 | − | 0.769491i | 0.0417810 | − | 0.0586732i | ||||
\(173\) | 6.13135 | + | 0.585473i | 0.466158 | + | 0.0445127i | 0.325493 | − | 0.945545i | \(-0.394470\pi\) |
0.140665 | + | 0.990057i | \(0.455076\pi\) | |||||||
\(174\) | 0.313273 | + | 2.17886i | 0.0237492 | + | 0.165179i | ||||
\(175\) | −30.6304 | + | 12.1729i | −2.31544 | + | 0.920183i | ||||
\(176\) | 11.3622 | − | 3.33623i | 0.856456 | − | 0.251478i | ||||
\(177\) | 0.280999 | + | 0.220980i | 0.0211212 | + | 0.0166099i | ||||
\(178\) | 1.07228 | + | 0.206665i | 0.0803708 | + | 0.0154902i | ||||
\(179\) | 1.08671 | + | 0.560240i | 0.0812248 | + | 0.0418743i | 0.498360 | − | 0.866970i | \(-0.333936\pi\) |
−0.417136 | + | 0.908844i | \(0.636966\pi\) | |||||||
\(180\) | 6.89681 | − | 1.32925i | 0.514058 | − | 0.0990765i | ||||
\(181\) | −5.47772 | − | 1.60840i | −0.407156 | − | 0.119552i | 0.0717402 | − | 0.997423i | \(-0.477145\pi\) |
−0.478896 | + | 0.877872i | \(0.658963\pi\) | |||||||
\(182\) | −0.415004 | + | 0.714633i | −0.0307621 | + | 0.0529721i | ||||
\(183\) | 10.0258 | 0.741130 | ||||||||
\(184\) | 9.38703 | + | 3.36072i | 0.692021 | + | 0.247755i | ||||
\(185\) | −18.8290 | − | 32.6128i | −1.38433 | − | 2.39774i | ||||
\(186\) | 3.09915 | − | 0.295933i | 0.227240 | − | 0.0216988i | ||||
\(187\) | 4.54108 | − | 4.32991i | 0.332077 | − | 0.316634i | ||||
\(188\) | −7.18590 | − | 8.29297i | −0.524086 | − | 0.604827i | ||||
\(189\) | 2.22213 | + | 1.43602i | 0.161636 | + | 0.104455i | ||||
\(190\) | 4.94054 | − | 5.70169i | 0.358424 | − | 0.413644i | ||||
\(191\) | −4.37849 | − | 3.44328i | −0.316816 | − | 0.249147i | 0.447068 | − | 0.894500i | \(-0.352468\pi\) |
−0.763885 | + | 0.645353i | \(0.776710\pi\) | |||||||
\(192\) | 0.962148 | + | 0.917407i | 0.0694371 | + | 0.0662081i | ||||
\(193\) | −0.112692 | + | 2.36570i | −0.00811177 | + | 0.170287i | 0.991176 | + | 0.132552i | \(0.0423172\pi\) |
−0.999288 | + | 0.0377348i | \(0.987986\pi\) | |||||||
\(194\) | 5.19983 | + | 2.08170i | 0.373326 | + | 0.149457i | ||||
\(195\) | −0.959913 | − | 2.10192i | −0.0687408 | − | 0.150521i | ||||
\(196\) | −2.71639 | − | 11.4493i | −0.194028 | − | 0.817806i | ||||
\(197\) | −0.514461 | − | 3.57816i | −0.0366539 | − | 0.254933i | 0.963253 | − | 0.268596i | \(-0.0865598\pi\) |
−0.999907 | + | 0.0136633i | \(0.995651\pi\) | |||||||
\(198\) | 2.71712 | − | 1.40078i | 0.193098 | − | 0.0995487i | ||||
\(199\) | 8.25781 | + | 7.87381i | 0.585381 | + | 0.558160i | 0.923819 | − | 0.382829i | \(-0.125050\pi\) |
−0.338438 | + | 0.940989i | \(0.609899\pi\) | |||||||
\(200\) | −24.0447 | + | 9.62603i | −1.70021 | + | 0.680663i | ||||
\(201\) | −1.86222 | − | 5.38052i | −0.131351 | − | 0.379513i | ||||
\(202\) | −3.91650 | + | 2.51698i | −0.275564 | + | 0.177094i | ||||
\(203\) | −4.30738 | + | 9.36914i | −0.302319 | + | 0.657585i | ||||
\(204\) | 1.86978 | + | 0.549017i | 0.130911 | + | 0.0384389i | ||||
\(205\) | −6.13488 | − | 8.61523i | −0.428479 | − | 0.601714i | ||||
\(206\) | −1.04142 | − | 1.80380i | −0.0725595 | − | 0.125677i | ||||
\(207\) | −4.73952 | − | 0.732796i | −0.329419 | − | 0.0509329i | ||||
\(208\) | 0.604978 | − | 1.04785i | 0.0419477 | − | 0.0726555i | ||||
\(209\) | −7.18836 | + | 15.7403i | −0.497229 | + | 1.08878i | ||||
\(210\) | −5.79041 | − | 2.33512i | −0.399577 | − | 0.161139i | ||||
\(211\) | −5.59818 | − | 6.46065i | −0.385395 | − | 0.444769i | 0.529592 | − | 0.848252i | \(-0.322345\pi\) |
−0.914987 | + | 0.403483i | \(0.867799\pi\) | |||||||
\(212\) | 1.04197 | + | 21.8737i | 0.0715628 | + | 1.50229i | ||||
\(213\) | −11.6697 | − | 2.24916i | −0.799597 | − | 0.154110i | ||||
\(214\) | −5.57043 | + | 2.23006i | −0.380787 | + | 0.152444i | ||||
\(215\) | 0.553560 | − | 2.28181i | 0.0377525 | − | 0.155618i | ||||
\(216\) | 1.74896 | + | 1.12399i | 0.119002 | + | 0.0764776i | ||||
\(217\) | 12.9459 | + | 6.71551i | 0.878823 | + | 0.455878i | ||||
\(218\) | −0.854695 | − | 1.87152i | −0.0578873 | − | 0.126755i | ||||
\(219\) | −8.51570 | − | 0.813151i | −0.575438 | − | 0.0549477i | ||||
\(220\) | 29.8829 | − | 23.5002i | 2.01471 | − | 1.58438i | ||||
\(221\) | 0.0305051 | − | 0.640381i | 0.00205199 | − | 0.0430767i | ||||
\(222\) | 1.20009 | − | 4.94684i | 0.0805447 | − | 0.332010i | ||||
\(223\) | −0.0559965 | + | 0.389464i | −0.00374980 | + | 0.0260805i | −0.991610 | − | 0.129262i | \(-0.958739\pi\) |
0.987861 | + | 0.155343i | \(0.0496482\pi\) | |||||||
\(224\) | −3.32929 | − | 13.8764i | −0.222448 | − | 0.927159i | ||||
\(225\) | 10.4803 | − | 6.73526i | 0.698685 | − | 0.449018i | ||||
\(226\) | 2.10588 | − | 0.405874i | 0.140081 | − | 0.0269984i | ||||
\(227\) | −2.18061 | − | 8.98862i | −0.144732 | − | 0.596595i | −0.997264 | − | 0.0739199i | \(-0.976449\pi\) |
0.852532 | − | 0.522676i | \(-0.175066\pi\) | |||||||
\(228\) | −5.34989 | + | 0.510853i | −0.354305 | + | 0.0338320i | ||||
\(229\) | −7.29204 | + | 12.6302i | −0.481872 | + | 0.834626i | −0.999783 | − | 0.0208076i | \(-0.993376\pi\) |
0.517912 | + | 0.855434i | \(0.326710\pi\) | |||||||
\(230\) | 11.3096 | − | 0.418647i | 0.745734 | − | 0.0276048i | ||||
\(231\) | 14.2520 | + | 1.39724i | 0.937711 | + | 0.0919316i | ||||
\(232\) | −3.36607 | + | 7.37066i | −0.220993 | + | 0.483907i | ||||
\(233\) | −9.53511 | + | 9.09171i | −0.624666 | + | 0.595617i | −0.934843 | − | 0.355061i | \(-0.884460\pi\) |
0.310177 | + | 0.950679i | \(0.399612\pi\) | |||||||
\(234\) | 0.102159 | − | 0.295169i | 0.00667834 | − | 0.0192958i | ||||
\(235\) | −24.2426 | − | 12.4979i | −1.58141 | − | 0.815273i | ||||
\(236\) | 0.196545 | + | 0.567880i | 0.0127940 | + | 0.0369659i | ||||
\(237\) | −1.20029 | + | 8.34817i | −0.0779670 | + | 0.542272i | ||||
\(238\) | −1.13107 | − | 1.31201i | −0.0733165 | − | 0.0850449i | ||||
\(239\) | −3.08131 | − | 1.98024i | −0.199313 | − | 0.128091i | 0.437177 | − | 0.899375i | \(-0.355978\pi\) |
−0.636491 | + | 0.771284i | \(0.719615\pi\) | |||||||
\(240\) | 8.48658 | + | 3.39751i | 0.547806 | + | 0.219309i | ||||
\(241\) | −1.00013 | + | 1.40449i | −0.0644240 | + | 0.0904709i | −0.845531 | − | 0.533926i | \(-0.820716\pi\) |
0.781107 | + | 0.624397i | \(0.214655\pi\) | |||||||
\(242\) | 5.99389 | − | 8.41724i | 0.385302 | − | 0.541081i | ||||
\(243\) | −0.928368 | − | 0.371662i | −0.0595548 | − | 0.0238422i | ||||
\(244\) | 14.1781 | + | 9.11173i | 0.907661 | + | 0.583318i | ||||
\(245\) | −16.8448 | − | 23.9100i | −1.07618 | − | 1.52756i | ||||
\(246\) | 0.203458 | − | 1.41508i | 0.0129720 | − | 0.0902222i | ||||
\(247\) | 0.578277 | + | 1.67082i | 0.0367949 | + | 0.106312i | ||||
\(248\) | 10.1860 | + | 5.25123i | 0.646809 | + | 0.333453i | ||||
\(249\) | −4.67825 | + | 13.5169i | −0.296472 | + | 0.856600i | ||||
\(250\) | −12.7373 | + | 12.1450i | −0.805580 | + | 0.768119i | ||||
\(251\) | 12.6237 | − | 27.6421i | 0.796802 | − | 1.74475i | 0.140739 | − | 0.990047i | \(-0.455052\pi\) |
0.656063 | − | 0.754706i | \(-0.272221\pi\) | |||||||
\(252\) | 1.83735 | + | 4.05029i | 0.115742 | + | 0.255144i | ||||
\(253\) | −24.6187 | + | 8.22946i | −1.54777 | + | 0.517382i | ||||
\(254\) | −4.74020 | + | 8.21027i | −0.297427 | + | 0.515158i | ||||
\(255\) | 4.82172 | − | 0.460419i | 0.301948 | − | 0.0288325i | ||||
\(256\) | −0.909499 | − | 3.74900i | −0.0568437 | − | 0.234313i | ||||
\(257\) | 17.4924 | − | 3.37139i | 1.09115 | − | 0.210302i | 0.388224 | − | 0.921565i | \(-0.373089\pi\) |
0.702925 | + | 0.711263i | \(0.251877\pi\) | |||||||
\(258\) | 0.267001 | − | 0.171591i | 0.0166227 | − | 0.0106828i | ||||
\(259\) | 17.2994 | − | 16.4117i | 1.07493 | − | 1.01978i | ||||
\(260\) | 0.552805 | − | 3.84484i | 0.0342835 | − | 0.238447i | ||||
\(261\) | 0.918874 | − | 3.78765i | 0.0568769 | − | 0.234450i | ||||
\(262\) | −0.402266 | + | 8.44460i | −0.0248521 | + | 0.521709i | ||||
\(263\) | −5.79566 | + | 4.55776i | −0.357376 | + | 0.281044i | −0.780663 | − | 0.624952i | \(-0.785119\pi\) |
0.423287 | + | 0.905996i | \(0.360876\pi\) | |||||||
\(264\) | 11.2017 | + | 1.06963i | 0.689418 | + | 0.0658315i | ||||
\(265\) | 22.6110 | + | 49.5113i | 1.38898 | + | 3.04145i | ||||
\(266\) | 4.24065 | + | 2.19978i | 0.260011 | + | 0.134877i | ||||
\(267\) | −1.62656 | − | 1.04533i | −0.0995439 | − | 0.0639730i | ||||
\(268\) | 2.25648 | − | 9.30135i | 0.137837 | − | 0.568170i | ||||
\(269\) | 14.1629 | − | 5.66995i | 0.863525 | − | 0.345703i | 0.102741 | − | 0.994708i | \(-0.467239\pi\) |
0.760784 | + | 0.649005i | \(0.224815\pi\) | |||||||
\(270\) | 2.31719 | + | 0.446601i | 0.141020 | + | 0.0271793i | ||||
\(271\) | −1.37432 | − | 28.8506i | −0.0834842 | − | 1.75255i | −0.521200 | − | 0.853435i | \(-0.674515\pi\) |
0.437715 | − | 0.899114i | \(-0.355788\pi\) | |||||||
\(272\) | 1.66089 | + | 1.91677i | 0.100706 | + | 0.116221i | ||||
\(273\) | 1.15243 | − | 0.901579i | 0.0697483 | − | 0.0545661i | ||||
\(274\) | −5.36247 | + | 11.7422i | −0.323959 | + | 0.709371i | ||||
\(275\) | 33.7147 | − | 58.3955i | 2.03307 | − | 3.52138i | ||||
\(276\) | −6.03645 | − | 5.34368i | −0.363352 | − | 0.321652i | ||||
\(277\) | 11.0569 | + | 19.1511i | 0.664346 | + | 1.15068i | 0.979462 | + | 0.201627i | \(0.0646230\pi\) |
−0.315117 | + | 0.949053i | \(0.602044\pi\) | |||||||
\(278\) | −1.36877 | − | 1.92217i | −0.0820936 | − | 0.115284i | ||||
\(279\) | −5.28895 | − | 1.55298i | −0.316641 | − | 0.0929743i | ||||
\(280\) | −13.2838 | − | 18.7546i | −0.793861 | − | 1.12080i | ||||
\(281\) | −9.33002 | + | 5.99604i | −0.556582 | + | 0.357694i | −0.788493 | − | 0.615043i | \(-0.789139\pi\) |
0.231911 | + | 0.972737i | \(0.425502\pi\) | |||||||
\(282\) | −1.20582 | − | 3.48400i | −0.0718057 | − | 0.207469i | ||||
\(283\) | −18.4872 | + | 7.40115i | −1.09895 | + | 0.439953i | −0.849046 | − | 0.528319i | \(-0.822823\pi\) |
−0.249902 | + | 0.968271i | \(0.580398\pi\) | |||||||
\(284\) | −14.4588 | − | 13.7864i | −0.857971 | − | 0.818074i | ||||
\(285\) | −11.8730 | + | 6.12098i | −0.703298 | + | 0.362575i | ||||
\(286\) | −0.240598 | − | 1.67340i | −0.0142269 | − | 0.0989499i | ||||
\(287\) | 4.39845 | − | 5.05025i | 0.259632 | − | 0.298107i | ||||
\(288\) | 2.24060 | + | 4.90623i | 0.132029 | + | 0.289103i | ||||
\(289\) | −14.5347 | − | 5.81880i | −0.854980 | − | 0.342282i | ||||
\(290\) | −0.437634 | + | 9.18707i | −0.0256988 | + | 0.539483i | ||||
\(291\) | −7.17734 | − | 6.84358i | −0.420743 | − | 0.401178i | ||||
\(292\) | −11.3036 | − | 8.88921i | −0.661491 | − | 0.520202i | ||||
\(293\) | −18.9507 | + | 21.8703i | −1.10711 | + | 1.27768i | −0.149773 | + | 0.988720i | \(0.547854\pi\) |
−0.957342 | + | 0.288958i | \(0.906691\pi\) | |||||||
\(294\) | 0.582408 | − | 3.91038i | 0.0339667 | − | 0.228058i | ||||
\(295\) | 0.978134 | + | 1.12883i | 0.0569492 | + | 0.0657228i | ||||
\(296\) | 13.5610 | − | 12.9304i | 0.788218 | − | 0.751564i | ||||
\(297\) | −5.38806 | + | 0.514497i | −0.312647 | + | 0.0298542i | ||||
\(298\) | −0.728498 | − | 1.26180i | −0.0422008 | − | 0.0730938i | ||||
\(299\) | −1.24026 | + | 2.34442i | −0.0717260 | + | 0.135581i | ||||
\(300\) | 20.9420 | 1.20909 | ||||||||
\(301\) | 1.48678 | + | 0.00375595i | 0.0856968 | + | 0.000216489i | ||||
\(302\) | −6.86344 | − | 2.01529i | −0.394946 | − | 0.115967i | ||||
\(303\) | 8.09405 | − | 1.56000i | 0.464991 | − | 0.0896197i | ||||
\(304\) | −6.21701 | − | 3.20509i | −0.356570 | − | 0.183825i | ||||
\(305\) | 41.1336 | + | 7.92785i | 2.35530 | + | 0.453947i | ||||
\(306\) | 0.514652 | + | 0.404727i | 0.0294207 | + | 0.0231367i | ||||
\(307\) | −19.2638 | + | 5.65635i | −1.09944 | + | 0.322825i | −0.780630 | − | 0.624993i | \(-0.785102\pi\) |
−0.318811 | + | 0.947818i | \(0.603284\pi\) | |||||||
\(308\) | 18.8847 | + | 14.9285i | 1.07606 | + | 0.850629i | ||||
\(309\) | 0.524835 | + | 3.65031i | 0.0298568 | + | 0.207659i | ||||
\(310\) | 12.9491 | + | 1.23649i | 0.735457 | + | 0.0702277i | ||||
\(311\) | 14.9303 | − | 20.9666i | 0.846617 | − | 1.18891i | −0.133611 | − | 0.991034i | \(-0.542657\pi\) |
0.980228 | − | 0.197873i | \(-0.0634035\pi\) | |||||||
\(312\) | 0.903770 | − | 0.710733i | 0.0511659 | − | 0.0402373i | ||||
\(313\) | −18.0124 | + | 9.28601i | −1.01812 | + | 0.524877i | −0.884689 | − | 0.466182i | \(-0.845629\pi\) |
−0.133429 | + | 0.991058i | \(0.542599\pi\) | |||||||
\(314\) | −3.16412 | + | 0.929070i | −0.178562 | + | 0.0524305i | ||||
\(315\) | 7.98134 | + | 7.64878i | 0.449697 | + | 0.430960i | ||||
\(316\) | −9.28443 | + | 10.7148i | −0.522290 | + | 0.602755i | ||||
\(317\) | 0.0899720 | + | 1.88874i | 0.00505333 | + | 0.106082i | 0.999985 | + | 0.00552643i | \(0.00175913\pi\) |
−0.994931 | + | 0.100556i | \(0.967938\pi\) | |||||||
\(318\) | −2.40638 | + | 6.95279i | −0.134943 | + | 0.389893i | ||||
\(319\) | −4.97347 | − | 20.5009i | −0.278461 | − | 1.14783i | ||||
\(320\) | 3.22203 | + | 4.52471i | 0.180117 | + | 0.252939i | ||||
\(321\) | 10.6239 | 0.592968 | ||||||||
\(322\) | 1.92857 | + | 6.90197i | 0.107475 | + | 0.384632i | ||||
\(323\) | −3.70613 | −0.206215 | ||||||||
\(324\) | −0.975085 | − | 1.36931i | −0.0541714 | − | 0.0760730i | ||||
\(325\) | −1.62430 | − | 6.69548i | −0.0901002 | − | 0.371398i | ||||
\(326\) | −2.86579 | + | 8.28016i | −0.158721 | + | 0.458595i | ||||
\(327\) | 0.173335 | + | 3.63875i | 0.00958544 | + | 0.201223i | ||||
\(328\) | 3.44620 | − | 3.97713i | 0.190285 | − | 0.219600i | ||||
\(329\) | 4.11411 | − | 16.7735i | 0.226818 | − | 0.924754i | ||||
\(330\) | 12.2554 | − | 3.59850i | 0.674636 | − | 0.198091i | ||||
\(331\) | 6.30610 | − | 3.25102i | 0.346614 | − | 0.178692i | −0.276124 | − | 0.961122i | \(-0.589050\pi\) |
0.622739 | + | 0.782430i | \(0.286020\pi\) | |||||||
\(332\) | −18.9003 | + | 14.8634i | −1.03729 | + | 0.815734i | ||||
\(333\) | −5.22795 | + | 7.34162i | −0.286490 | + | 0.402319i | ||||
\(334\) | 2.08755 | + | 0.199337i | 0.114226 | + | 0.0109073i | ||||
\(335\) | −3.38562 | − | 23.5475i | −0.184976 | − | 1.28654i | ||||
\(336\) | −0.838259 | + | 5.72747i | −0.0457308 | + | 0.312459i | ||||
\(337\) | −28.3822 | + | 8.33378i | −1.54608 | + | 0.453970i | −0.939926 | − | 0.341378i | \(-0.889106\pi\) |
−0.606153 | + | 0.795348i | \(0.707288\pi\) | |||||||
\(338\) | 5.63560 | + | 4.43189i | 0.306536 | + | 0.241063i | ||||
\(339\) | −3.72862 | − | 0.718632i | −0.202511 | − | 0.0390308i | ||||
\(340\) | 7.23713 | + | 3.73100i | 0.392488 | + | 0.202342i | ||||
\(341\) | −29.2962 | + | 5.64638i | −1.58648 | + | 0.305769i | ||||
\(342\) | −1.73249 | − | 0.508705i | −0.0936824 | − | 0.0275076i | ||||
\(343\) | 12.2339 | − | 13.9044i | 0.660569 | − | 0.750765i | ||||
\(344\) | 1.16830 | 0.0629903 | ||||||||
\(345\) | −18.8657 | − | 6.75423i | −1.01569 | − | 0.363635i | ||||
\(346\) | 1.73933 | + | 3.01261i | 0.0935070 | + | 0.161959i | ||||
\(347\) | 8.00193 | − | 0.764092i | 0.429566 | − | 0.0410186i | 0.121966 | − | 0.992534i | \(-0.461080\pi\) |
0.307600 | + | 0.951516i | \(0.400474\pi\) | |||||||
\(348\) | 4.74175 | − | 4.52125i | 0.254184 | − | 0.242364i | ||||
\(349\) | −14.5262 | − | 16.7642i | −0.777572 | − | 0.897366i | 0.219359 | − | 0.975644i | \(-0.429603\pi\) |
−0.996932 | + | 0.0782781i | \(0.975058\pi\) | |||||||
\(350\) | −15.6351 | − | 10.1039i | −0.835729 | − | 0.540079i | ||||
\(351\) | −0.362162 | + | 0.417957i | −0.0193308 | + | 0.0223089i | ||||
\(352\) | 22.9476 | + | 18.0462i | 1.22311 | + | 0.961866i | ||||
\(353\) | 25.0162 | + | 23.8529i | 1.33148 | + | 1.26956i | 0.936410 | + | 0.350907i | \(0.114127\pi\) |
0.395065 | + | 0.918653i | \(0.370722\pi\) | |||||||
\(354\) | −0.00960683 | + | 0.201672i | −0.000510597 | + | 0.0107188i | ||||
\(355\) | −46.0996 | − | 18.4555i | −2.44672 | − | 0.979517i | ||||
\(356\) | −1.35020 | − | 2.95652i | −0.0715603 | − | 0.156695i | ||||
\(357\) | 0.995820 | + | 2.90092i | 0.0527044 | + | 0.153533i | ||||
\(358\) | 0.0982718 | + | 0.683495i | 0.00519382 | + | 0.0361238i | ||||
\(359\) | 0.0750755 | − | 0.0387041i | 0.00396233 | − | 0.00204272i | −0.456244 | − | 0.889855i | \(-0.650806\pi\) |
0.460207 | + | 0.887812i | \(0.347775\pi\) | |||||||
\(360\) | 6.28677 | + | 5.99443i | 0.331342 | + | 0.315934i | ||||
\(361\) | −8.15025 | + | 3.26287i | −0.428960 | + | 0.171730i | ||||
\(362\) | −1.05458 | − | 3.04702i | −0.0554277 | − | 0.160148i | ||||
\(363\) | −15.3915 | + | 9.89150i | −0.807843 | + | 0.519169i | ||||
\(364\) | 2.44910 | − | 0.227619i | 0.128368 | − | 0.0119305i | ||||
\(365\) | −34.2949 | − | 10.0699i | −1.79508 | − | 0.527082i | ||||
\(366\) | 3.28455 | + | 4.61250i | 0.171686 | + | 0.241099i | ||||
\(367\) | 0.875413 | + | 1.51626i | 0.0456962 | + | 0.0791481i | 0.887969 | − | 0.459904i | \(-0.152116\pi\) |
−0.842273 | + | 0.539052i | \(0.818783\pi\) | |||||||
\(368\) | −2.84921 | − | 10.0983i | −0.148525 | − | 0.526409i | ||||
\(369\) | −1.26564 | + | 2.19215i | −0.0658864 | + | 0.114119i | ||||
\(370\) | 8.83536 | − | 19.3467i | 0.459328 | − | 1.00579i | ||||
\(371\) | −27.1458 | + | 21.2370i | −1.40934 | + | 1.10257i | ||||
\(372\) | −6.06804 | − | 7.00290i | −0.314613 | − | 0.363083i | ||||
\(373\) | 1.18457 | + | 24.8672i | 0.0613347 | + | 1.28757i | 0.794392 | + | 0.607406i | \(0.207790\pi\) |
−0.733057 | + | 0.680167i | \(0.761907\pi\) | |||||||
\(374\) | 3.47973 | + | 0.670662i | 0.179932 | + | 0.0346791i | ||||
\(375\) | 28.9291 | − | 11.5815i | 1.49389 | − | 0.598064i | ||||
\(376\) | 3.19949 | − | 13.1885i | 0.165001 | − | 0.680145i | ||||
\(377\) | −1.81329 | − | 1.16533i | −0.0933894 | − | 0.0600177i | ||||
\(378\) | 0.0673302 | + | 1.49277i | 0.00346309 | + | 0.0767798i | ||||
\(379\) | −6.83963 | − | 14.9767i | −0.351328 | − | 0.769301i | −0.999966 | − | 0.00820436i | \(-0.997388\pi\) |
0.648638 | − | 0.761097i | \(-0.275339\pi\) | |||||||
\(380\) | −22.3533 | − | 2.13448i | −1.14670 | − | 0.109496i | ||||
\(381\) | 13.1945 | − | 10.3763i | 0.675976 | − | 0.531593i | ||||
\(382\) | 0.149692 | − | 3.14243i | 0.00765892 | − | 0.160781i | ||||
\(383\) | 3.54316 | − | 14.6051i | 0.181047 | − | 0.746286i | −0.806796 | − | 0.590830i | \(-0.798800\pi\) |
0.987843 | − | 0.155456i | \(-0.0496846\pi\) | |||||||
\(384\) | −1.64205 | + | 11.4207i | −0.0837954 | + | 0.582810i | ||||
\(385\) | 57.3676 | + | 17.0022i | 2.92372 | + | 0.866512i | ||||
\(386\) | −1.12529 | + | 0.723180i | −0.0572757 | + | 0.0368089i | ||||
\(387\) | −0.551798 | + | 0.106350i | −0.0280495 | + | 0.00540610i | ||||
\(388\) | −3.93029 | − | 16.2009i | −0.199530 | − | 0.822474i | ||||
\(389\) | 2.20522 | − | 0.210573i | 0.111809 | − | 0.0106765i | −0.0390015 | − | 0.999239i | \(-0.512418\pi\) |
0.150811 | + | 0.988563i | \(0.451812\pi\) | |||||||
\(390\) | 0.652536 | − | 1.13023i | 0.0330425 | − | 0.0572312i | ||||
\(391\) | −3.79367 | − | 4.06409i | −0.191854 | − | 0.205530i | ||||
\(392\) | 9.58559 | − | 10.9501i | 0.484146 | − | 0.553063i | ||||
\(393\) | 6.21826 | − | 13.6161i | 0.313669 | − | 0.686840i | ||||
\(394\) | 1.47763 | − | 1.40892i | 0.0744421 | − | 0.0709804i | ||||
\(395\) | −11.5257 | + | 33.3014i | −0.579923 | + | 1.67558i | ||||
\(396\) | −8.08716 | − | 4.16922i | −0.406395 | − | 0.209511i | ||||
\(397\) | −0.667288 | − | 1.92800i | −0.0334902 | − | 0.0967636i | 0.927016 | − | 0.375021i | \(-0.122364\pi\) |
−0.960507 | + | 0.278257i | \(0.910243\pi\) | |||||||
\(398\) | −0.917110 | + | 6.37864i | −0.0459705 | + | 0.319732i | ||||
\(399\) | −5.52297 | − | 6.40648i | −0.276494 | − | 0.320725i | ||||
\(400\) | 22.9292 | + | 14.7357i | 1.14646 | + | 0.736785i | ||||
\(401\) | −20.3039 | − | 8.12845i | −1.01393 | − | 0.405916i | −0.195610 | − | 0.980682i | \(-0.562669\pi\) |
−0.818318 | + | 0.574766i | \(0.805093\pi\) | |||||||
\(402\) | 1.86530 | − | 2.61944i | 0.0930325 | − | 0.130646i | ||||
\(403\) | −1.76828 | + | 2.48321i | −0.0880845 | + | 0.123697i | ||||
\(404\) | 12.8641 | + | 5.14999i | 0.640011 | + | 0.256222i | ||||
\(405\) | −3.51498 | − | 2.25894i | −0.174661 | − | 0.112248i | ||||
\(406\) | −5.72152 | + | 1.08775i | −0.283954 | + | 0.0539841i | ||||
\(407\) | −6.94247 | + | 48.2859i | −0.344125 | + | 2.39345i | ||||
\(408\) | 0.788256 | + | 2.27752i | 0.0390245 | + | 0.112754i | ||||
\(409\) | −2.19568 | − | 1.13195i | −0.108570 | − | 0.0559715i | 0.403086 | − | 0.915162i | \(-0.367937\pi\) |
−0.511656 | + | 0.859190i | \(0.670968\pi\) | |||||||
\(410\) | 1.95370 | − | 5.64485i | 0.0964865 | − | 0.278779i | ||||
\(411\) | 16.5416 | − | 15.7724i | 0.815936 | − | 0.777993i | ||||
\(412\) | −2.57529 | + | 5.63911i | −0.126876 | + | 0.277819i | ||||
\(413\) | −0.550566 | + | 0.769043i | −0.0270916 | + | 0.0378421i | ||||
\(414\) | −1.21558 | − | 2.42054i | −0.0597423 | − | 0.118963i | ||||
\(415\) | −29.8822 | + | 51.7574i | −1.46686 | + | 2.54067i | ||||
\(416\) | 2.96938 | − | 0.283541i | 0.145586 | − | 0.0139017i | ||||
\(417\) | 0.985018 | + | 4.06030i | 0.0482365 | + | 0.198834i | ||||
\(418\) | −9.59649 | + | 1.84957i | −0.469380 | + | 0.0904655i | ||||
\(419\) | −7.42577 | + | 4.77225i | −0.362773 | + | 0.233140i | −0.709311 | − | 0.704896i | \(-0.750994\pi\) |
0.346538 | + | 0.938036i | \(0.387357\pi\) | |||||||
\(420\) | 4.33549 | + | 18.0702i | 0.211550 | + | 0.881737i | ||||
\(421\) | −3.51479 | + | 24.4459i | −0.171300 | + | 1.19142i | 0.704841 | + | 0.709365i | \(0.251018\pi\) |
−0.876141 | + | 0.482055i | \(0.839891\pi\) | |||||||
\(422\) | 1.13829 | − | 4.69208i | 0.0554109 | − | 0.228407i | ||||
\(423\) | −0.310601 | + | 6.52031i | −0.0151019 | + | 0.317028i | ||||
\(424\) | −21.2886 | + | 16.7415i | −1.03386 | + | 0.813040i | ||||
\(425\) | 14.3765 | + | 1.37278i | 0.697360 | + | 0.0665898i | ||||
\(426\) | −2.78836 | − | 6.10565i | −0.135096 | − | 0.295820i | ||||
\(427\) | 1.19521 | + | 26.4989i | 0.0578404 | + | 1.28237i | ||||
\(428\) | 15.0239 | + | 9.65527i | 0.726207 | + | 0.466705i | ||||
\(429\) | −0.705708 | + | 2.90897i | −0.0340719 | + | 0.140446i | ||||
\(430\) | 1.23112 | − | 0.492868i | 0.0593701 | − | 0.0237682i | ||||
\(431\) | 37.3221 | + | 7.19325i | 1.79774 | + | 0.346487i | 0.975048 | − | 0.221995i | \(-0.0712568\pi\) |
0.822696 | + | 0.568482i | \(0.192469\pi\) | |||||||
\(432\) | −0.104102 | − | 2.18536i | −0.00500860 | − | 0.105143i | ||||
\(433\) | −15.2902 | − | 17.6458i | −0.734799 | − | 0.848003i | 0.258204 | − | 0.966090i | \(-0.416869\pi\) |
−0.993003 | + | 0.118087i | \(0.962324\pi\) | |||||||
\(434\) | 1.15163 | + | 8.15596i | 0.0552799 | + | 0.391499i | ||||
\(435\) | 6.76498 | − | 14.8132i | 0.324356 | − | 0.710240i | ||||
\(436\) | −3.06186 | + | 5.30330i | −0.146637 | + | 0.253982i | ||||
\(437\) | 13.8785 | + | 6.51675i | 0.663898 | + | 0.311739i | ||||
\(438\) | −2.41572 | − | 4.18415i | −0.115428 | − | 0.199926i | ||||
\(439\) | 2.58728 | + | 3.63333i | 0.123484 | + | 0.173409i | 0.871690 | − | 0.490057i | \(-0.163024\pi\) |
−0.748206 | + | 0.663466i | \(0.769085\pi\) | |||||||
\(440\) | 45.1122 | + | 13.2461i | 2.15064 | + | 0.631485i | ||||
\(441\) | −3.53058 | + | 6.04442i | −0.168123 | + | 0.287829i | ||||
\(442\) | 0.304609 | − | 0.195760i | 0.0144888 | − | 0.00931136i | ||||
\(443\) | 2.33634 | + | 6.75041i | 0.111003 | + | 0.320722i | 0.986797 | − | 0.161964i | \(-0.0517827\pi\) |
−0.875794 | + | 0.482685i | \(0.839662\pi\) | |||||||
\(444\) | −14.0654 | + | 5.63094i | −0.667515 | + | 0.267233i | ||||
\(445\) | −5.84680 | − | 5.57492i | −0.277165 | − | 0.264276i | ||||
\(446\) | −0.197523 | + | 0.101830i | −0.00935297 | + | 0.00482179i | ||||
\(447\) | 0.367133 | + | 2.55347i | 0.0173648 | + | 0.120775i | ||||
\(448\) | −2.31006 | + | 2.65239i | −0.109140 | + | 0.125313i | ||||
\(449\) | 4.02863 | + | 8.82147i | 0.190123 | + | 0.416311i | 0.980557 | − | 0.196237i | \(-0.0628721\pi\) |
−0.790434 | + | 0.612548i | \(0.790145\pi\) | |||||||
\(450\) | 6.53207 | + | 2.61505i | 0.307925 | + | 0.123274i | ||||
\(451\) | −0.651905 | + | 13.6852i | −0.0306970 | + | 0.644409i | ||||
\(452\) | −4.61975 | − | 4.40493i | −0.217295 | − | 0.207190i | ||||
\(453\) | 9.95558 | + | 7.82916i | 0.467754 | + | 0.367846i | ||||
\(454\) | 3.42093 | − | 3.94797i | 0.160552 | − | 0.185287i | ||||
\(455\) | 5.44107 | − | 2.78769i | 0.255081 | − | 0.130689i | ||||
\(456\) | −4.35257 | − | 5.02313i | −0.203828 | − | 0.235230i | ||||
\(457\) | 11.8397 | − | 11.2891i | 0.553838 | − | 0.528083i | −0.360648 | − | 0.932702i | \(-0.617444\pi\) |
0.914485 | + | 0.404619i | \(0.132596\pi\) | |||||||
\(458\) | −8.19961 | + | 0.782968i | −0.383143 | + | 0.0365857i | ||||
\(459\) | −0.579625 | − | 1.00394i | −0.0270546 | − | 0.0468599i | ||||
\(460\) | −20.5406 | − | 26.6971i | −0.957712 | − | 1.24476i | ||||
\(461\) | 16.2960 | 0.758979 | 0.379489 | − | 0.925196i | \(-0.376100\pi\) | ||||
0.379489 | + | 0.925196i | \(0.376100\pi\) | |||||||
\(462\) | 4.02626 | + | 7.01454i | 0.187318 | + | 0.326346i | ||||
\(463\) | 34.2652 | + | 10.0612i | 1.59244 | + | 0.467582i | 0.953429 | − | 0.301617i | \(-0.0975263\pi\) |
0.639009 | + | 0.769199i | \(0.279344\pi\) | |||||||
\(464\) | 8.37306 | − | 1.61377i | 0.388709 | − | 0.0749176i | ||||
\(465\) | −20.4713 | − | 10.5537i | −0.949335 | − | 0.489416i | ||||
\(466\) | −7.30653 | − | 1.40822i | −0.338469 | − | 0.0652345i | ||||
\(467\) | 8.87999 | + | 6.98330i | 0.410917 | + | 0.323149i | 0.802128 | − | 0.597152i | \(-0.203701\pi\) |
−0.391211 | + | 0.920301i | \(0.627944\pi\) | |||||||
\(468\) | −0.892004 | + | 0.261916i | −0.0412329 | + | 0.0121071i | ||||
\(469\) | 13.9991 | − | 5.56339i | 0.646417 | − | 0.256893i | ||||
\(470\) | −2.19226 | − | 15.2475i | −0.101121 | − | 0.703315i | ||||
\(471\) | 5.81240 | + | 0.555017i | 0.267821 | + | 0.0255738i | ||||
\(472\) | −0.431098 | + | 0.605393i | −0.0198429 | + | 0.0278655i | ||||
\(473\) | −2.39087 | + | 1.88020i | −0.109932 | + | 0.0864517i | ||||
\(474\) | −4.23390 | + | 2.18273i | −0.194470 | + | 0.100256i | ||||
\(475\) | −38.2148 | + | 11.2209i | −1.75342 | + | 0.514850i | ||||
\(476\) | −1.22818 | + | 5.00740i | −0.0562937 | + | 0.229514i | ||||
\(477\) | 8.53082 | − | 9.84509i | 0.390599 | − | 0.450776i | ||||
\(478\) | −0.0984318 | − | 2.06634i | −0.00450216 | − | 0.0945121i | ||||
\(479\) | −5.54891 | + | 16.0325i | −0.253536 | + | 0.732544i | 0.744364 | + | 0.667774i | \(0.232753\pi\) |
−0.997900 | + | 0.0647704i | \(0.979368\pi\) | |||||||
\(480\) | 5.31309 | + | 21.9009i | 0.242508 | + | 0.999632i | ||||
\(481\) | 2.89124 | + | 4.06018i | 0.131829 | + | 0.185128i | ||||
\(482\) | −0.973802 | −0.0443555 | ||||||||
\(483\) | 1.37181 | − | 12.6142i | 0.0624197 | − | 0.573966i | ||||
\(484\) | −30.7556 | −1.39798 | ||||||||
\(485\) | −24.0354 | − | 33.7530i | −1.09139 | − | 1.53264i | ||||
\(486\) | −0.133154 | − | 0.548867i | −0.00603997 | − | 0.0248971i | ||||
\(487\) | 1.79879 | − | 5.19727i | 0.0815111 | − | 0.235511i | −0.896880 | − | 0.442274i | \(-0.854172\pi\) |
0.978391 | + | 0.206763i | \(0.0662930\pi\) | |||||||
\(488\) | 0.991778 | + | 20.8200i | 0.0448957 | + | 0.942477i | ||||
\(489\) | 10.1595 | − | 11.7246i | 0.459426 | − | 0.530206i | ||||
\(490\) | 5.48158 | − | 15.5828i | 0.247633 | − | 0.703960i | ||||
\(491\) | 38.4507 | − | 11.2902i | 1.73526 | − | 0.509518i | 0.747333 | − | 0.664450i | \(-0.231334\pi\) |
0.987925 | + | 0.154932i | \(0.0495159\pi\) | |||||||
\(492\) | −3.78209 | + | 1.94980i | −0.170510 | + | 0.0879039i | ||||
\(493\) | 3.55154 | − | 2.79296i | 0.159953 | − | 0.125789i | ||||
\(494\) | −0.579233 | + | 0.813419i | −0.0260609 | + | 0.0365974i | ||||
\(495\) | −22.5128 | − | 2.14971i | −1.01187 | − | 0.0966222i | ||||
\(496\) | −1.71630 | − | 11.9372i | −0.0770644 | − | 0.535994i | ||||
\(497\) | 4.55348 | − | 31.1120i | 0.204251 | − | 1.39556i | ||||
\(498\) | −7.75126 | + | 2.27598i | −0.347342 | + | 0.101989i | ||||
\(499\) | 14.7693 | + | 11.6147i | 0.661164 | + | 0.519945i | 0.891416 | − | 0.453186i | \(-0.149713\pi\) |
−0.230252 | + | 0.973131i | \(0.573955\pi\) | |||||||
\(500\) | 51.4359 | + | 9.91345i | 2.30028 | + | 0.443343i | ||||
\(501\) | −3.30024 | − | 1.70139i | −0.147444 | − | 0.0760126i | ||||
\(502\) | 16.8527 | − | 3.24810i | 0.752174 | − | 0.144970i | ||||
\(503\) | −34.3900 | − | 10.0978i | −1.53337 | − | 0.450239i | −0.597293 | − | 0.802023i | \(-0.703757\pi\) |
−0.936081 | + | 0.351784i | \(0.885575\pi\) | |||||||
\(504\) | −2.76227 | + | 4.75660i | −0.123041 | + | 0.211876i | ||||
\(505\) | 34.4415 | 1.53263 | ||||||||
\(506\) | −11.8514 | − | 8.63009i | −0.526858 | − | 0.383654i | ||||
\(507\) | −6.34708 | − | 10.9935i | −0.281884 | − | 0.488237i | ||||
\(508\) | 28.0894 | − | 2.68221i | 1.24627 | − | 0.119004i | ||||
\(509\) | −1.23871 | + | 1.18110i | −0.0549047 | + | 0.0523515i | −0.717035 | − | 0.697037i | \(-0.754501\pi\) |
0.662130 | + | 0.749389i | \(0.269653\pi\) | |||||||
\(510\) | 1.79146 | + | 2.06745i | 0.0793272 | + | 0.0915484i | ||||
\(511\) | 1.13403 | − | 22.6045i | 0.0501663 | − | 0.999964i | ||||
\(512\) | −13.6849 | + | 15.7932i | −0.604794 | + | 0.697970i | ||||
\(513\) | 2.51302 | + | 1.97626i | 0.110953 | + | 0.0872541i | ||||
\(514\) | 7.28173 | + | 6.94312i | 0.321183 | + | 0.306248i | ||||
\(515\) | −0.733181 | + | 15.3914i | −0.0323078 | + | 0.678225i | ||||
\(516\) | −0.876985 | − | 0.351092i | −0.0386071 | − | 0.0154560i | ||||
\(517\) | 14.6773 | + | 32.1388i | 0.645507 | + | 1.41346i | ||||
\(518\) | 13.2179 | + | 2.58218i | 0.580760 | + | 0.113455i | ||||
\(519\) | −0.876551 | − | 6.09655i | −0.0384763 | − | 0.267609i | ||||
\(520\) | 4.26996 | − | 2.20132i | 0.187250 | − | 0.0965341i | ||||
\(521\) | −21.3141 | − | 20.3229i | −0.933786 | − | 0.890363i | 0.0603853 | − | 0.998175i | \(-0.480767\pi\) |
−0.994171 | + | 0.107812i | \(0.965616\pi\) | |||||||
\(522\) | 2.04359 | − | 0.818128i | 0.0894453 | − | 0.0358085i | ||||
\(523\) | 7.90525 | + | 22.8407i | 0.345672 | + | 0.998755i | 0.975113 | + | 0.221707i | \(0.0711628\pi\) |
−0.629441 | + | 0.777048i | \(0.716716\pi\) | |||||||
\(524\) | 21.1682 | − | 13.6040i | 0.924739 | − | 0.594294i | ||||
\(525\) | 19.0511 | + | 26.8971i | 0.831459 | + | 1.17389i | ||||
\(526\) | −3.99556 | − | 1.17320i | −0.174215 | − | 0.0511541i | ||||
\(527\) | −3.70660 | − | 5.20519i | −0.161462 | − | 0.226742i | ||||
\(528\) | −5.92092 | − | 10.2553i | −0.257675 | − | 0.446306i | ||||
\(529\) | 7.06013 | + | 21.8896i | 0.306962 | + | 0.951722i | ||||
\(530\) | −15.3707 | + | 26.6228i | −0.667660 | + | 1.15642i | ||||
\(531\) | 0.148503 | − | 0.325176i | 0.00644448 | − | 0.0141114i | ||||
\(532\) | −1.98799 | − | 14.0792i | −0.0861905 | − | 0.610411i | ||||
\(533\) | 0.916730 | + | 1.05796i | 0.0397080 | + | 0.0458255i | ||||
\(534\) | −0.0519601 | − | 1.09078i | −0.00224853 | − | 0.0472025i | ||||
\(535\) | 43.5873 | + | 8.40077i | 1.88444 | + | 0.363197i | ||||
\(536\) | 10.9892 | − | 4.39940i | 0.474660 | − | 0.190025i | ||||
\(537\) | 0.288245 | − | 1.18816i | 0.0124387 | − | 0.0512730i | ||||
\(538\) | 7.24841 | + | 4.65827i | 0.312501 | + | 0.200832i | ||||
\(539\) | −1.99397 | + | 37.8355i | −0.0858863 | + | 1.62969i | ||||
\(540\) | −2.91776 | − | 6.38901i | −0.125561 | − | 0.274939i | ||||
\(541\) | −36.6576 | − | 3.50038i | −1.57604 | − | 0.150493i | −0.729935 | − | 0.683517i | \(-0.760450\pi\) |
−0.846100 | + | 0.533024i | \(0.821056\pi\) | |||||||
\(542\) | 12.8228 | − | 10.0840i | 0.550787 | − | 0.433144i | ||||
\(543\) | −0.271644 | + | 5.70251i | −0.0116574 | + | 0.244718i | ||||
\(544\) | −1.47410 | + | 6.07633i | −0.0632016 | + | 0.260521i | ||||
\(545\) | −2.16616 | + | 15.0660i | −0.0927881 | + | 0.645356i | ||||
\(546\) | 0.792329 | + | 0.234825i | 0.0339086 | + | 0.0100496i | ||||
\(547\) | −9.13058 | + | 5.86787i | −0.390395 | + | 0.250892i | −0.721083 | − | 0.692848i | \(-0.756356\pi\) |
0.330688 | + | 0.943740i | \(0.392719\pi\) | |||||||
\(548\) | 37.7268 | − | 7.27124i | 1.61161 | − | 0.310612i | ||||
\(549\) | −2.36368 | − | 9.74321i | −0.100879 | − | 0.415830i | ||||
\(550\) | 37.9108 | − | 3.62004i | 1.61652 | − | 0.154359i | ||||
\(551\) | −6.23020 | + | 10.7910i | −0.265416 | + | 0.459713i | ||||
\(552\) | 1.05291 | − | 9.91474i | 0.0448147 | − | 0.421999i | ||||
\(553\) | −22.2078 | − | 2.17722i | −0.944374 | − | 0.0925848i | ||||
\(554\) | −5.18837 | + | 11.3609i | −0.220433 | + | 0.482680i | ||||
\(555\) | −27.2544 | + | 25.9870i | −1.15688 | + | 1.10309i | ||||
\(556\) | −2.29713 | + | 6.63712i | −0.0974200 | + | 0.281477i | ||||
\(557\) | 15.4207 | + | 7.94993i | 0.653397 | + | 0.336850i | 0.752849 | − | 0.658193i | \(-0.228679\pi\) |
−0.0994525 | + | 0.995042i | \(0.531709\pi\) | |||||||
\(558\) | −1.01824 | − | 2.94202i | −0.0431056 | − | 0.124546i | ||||
\(559\) | −0.0442287 | + | 0.307617i | −0.00187067 | + | 0.0130108i | ||||
\(560\) | −7.96813 | + | 22.8356i | −0.336715 | + | 0.964980i | ||||
\(561\) | −5.27846 | − | 3.39226i | −0.222857 | − | 0.143221i | ||||
\(562\) | −5.81515 | − | 2.32803i | −0.245297 | − | 0.0982022i | ||||
\(563\) | −2.43901 | + | 3.42511i | −0.102792 | + | 0.144351i | −0.862768 | − | 0.505600i | \(-0.831271\pi\) |
0.759976 | + | 0.649951i | \(0.225211\pi\) | |||||||
\(564\) | −6.36507 | + | 8.93848i | −0.268018 | + | 0.376378i | ||||
\(565\) | −14.7294 | − | 5.89676i | −0.619670 | − | 0.248078i | ||||
\(566\) | −9.46155 | − | 6.08057i | −0.397698 | − | 0.255585i | ||||
\(567\) | 0.871654 | − | 2.49804i | 0.0366060 | − | 0.104908i | ||||
\(568\) | 3.51628 | − | 24.4563i | 0.147540 | − | 1.02616i | ||||
\(569\) | 2.09936 | + | 6.06570i | 0.0880097 | + | 0.254287i | 0.980413 | − | 0.196950i | \(-0.0631038\pi\) |
−0.892404 | + | 0.451238i | \(0.850983\pi\) | |||||||
\(570\) | −6.70574 | − | 3.45705i | −0.280873 | − | 0.144800i | ||||
\(571\) | −3.45192 | + | 9.97367i | −0.144458 | + | 0.417385i | −0.993898 | − | 0.110300i | \(-0.964819\pi\) |
0.849440 | + | 0.527685i | \(0.176940\pi\) | |||||||
\(572\) | −3.64173 | + | 3.47238i | −0.152268 | + | 0.145187i | ||||
\(573\) | −2.31395 | + | 5.06685i | −0.0966668 | + | 0.211671i | ||||
\(574\) | 3.76440 | + | 0.369055i | 0.157123 | + | 0.0154041i | ||||
\(575\) | −51.4221 | − | 30.4198i | −2.14445 | − | 1.26859i | ||||
\(576\) | 0.664711 | − | 1.15131i | 0.0276963 | − | 0.0479714i | ||||
\(577\) | 7.31189 | − | 0.698201i | 0.304398 | − | 0.0290665i | 0.0582606 | − | 0.998301i | \(-0.481445\pi\) |
0.246138 | + | 0.969235i | \(0.420839\pi\) | |||||||
\(578\) | −2.08467 | − | 8.59314i | −0.0867109 | − | 0.357427i | ||||
\(579\) | 2.32559 | − | 0.448220i | 0.0966481 | − | 0.0186274i | ||||
\(580\) | 23.0294 | − | 14.8001i | 0.956244 | − | 0.614541i | ||||
\(581\) | −36.2838 | − | 10.7535i | −1.50531 | − | 0.446131i | ||||
\(582\) | 0.797112 | − | 5.54404i | 0.0330414 | − | 0.229808i | ||||
\(583\) | 16.6231 | − | 68.5216i | 0.688460 | − | 2.83787i | ||||
\(584\) | 0.846225 | − | 17.7645i | 0.0350171 | − | 0.735098i | ||||
\(585\) | −1.81636 | + | 1.42840i | −0.0750972 | + | 0.0590571i | ||||
\(586\) | −16.2701 | − | 1.55361i | −0.672113 | − | 0.0641790i | ||||
\(587\) | −13.0340 | − | 28.5405i | −0.537971 | − | 1.17799i | −0.962177 | − | 0.272427i | \(-0.912174\pi\) |
0.424205 | − | 0.905566i | \(-0.360553\pi\) | |||||||
\(588\) | −10.4861 | + | 5.33909i | −0.432441 | + | 0.220180i | ||||
\(589\) | 14.8252 | + | 9.52755i | 0.610860 | + | 0.392576i | ||||
\(590\) | −0.198885 | + | 0.819816i | −0.00818798 | + | 0.0337513i | ||||
\(591\) | −3.35601 | + | 1.34354i | −0.138048 | + | 0.0552659i | ||||
\(592\) | −19.3623 | − | 3.73178i | −0.795785 | − | 0.153375i | ||||
\(593\) | 0.534952 | + | 11.2300i | 0.0219679 | + | 0.461162i | 0.982873 | + | 0.184284i | \(0.0589967\pi\) |
−0.960905 | + | 0.276878i | \(0.910700\pi\) | |||||||
\(594\) | −2.00188 | − | 2.31029i | −0.0821380 | − | 0.0947923i | ||||
\(595\) | 1.79173 | + | 12.6892i | 0.0734538 | + | 0.520208i | ||||
\(596\) | −1.80147 | + | 3.94467i | −0.0737911 | + | 0.161580i | ||||
\(597\) | 5.70501 | − | 9.88136i | 0.233490 | − | 0.404417i | ||||
\(598\) | −1.48490 | + | 0.197455i | −0.0607219 | + | 0.00807452i | ||||
\(599\) | 7.09052 | + | 12.2811i | 0.289711 | + | 0.501794i | 0.973741 | − | 0.227660i | \(-0.0731075\pi\) |
−0.684030 | + | 0.729454i | \(0.739774\pi\) | |||||||
\(600\) | 15.0234 | + | 21.0975i | 0.613329 | + | 0.861300i | ||||
\(601\) | −42.9852 | − | 12.6216i | −1.75340 | − | 0.514845i | −0.762216 | − | 0.647322i | \(-0.775889\pi\) |
−0.991186 | + | 0.132477i | \(0.957707\pi\) | |||||||
\(602\) | 0.485356 | + | 0.685244i | 0.0197816 | + | 0.0279285i | ||||
\(603\) | −4.78982 | + | 3.07823i | −0.195057 | + | 0.125355i | ||||
\(604\) | 6.96345 | + | 20.1196i | 0.283339 | + | 0.818654i | ||||
\(605\) | −70.9692 | + | 28.4118i | −2.88531 | + | 1.15510i | ||||
\(606\) | 3.36938 | + | 3.21270i | 0.136872 | + | 0.130507i | ||||
\(607\) | −4.01114 | + | 2.06789i | −0.162807 | + | 0.0839329i | −0.537704 | − | 0.843133i | \(-0.680708\pi\) |
0.374897 | + | 0.927066i | \(0.377678\pi\) | |||||||
\(608\) | −2.45401 | − | 17.0680i | −0.0995234 | − | 0.692200i | ||||
\(609\) | 10.1205 | + | 1.97710i | 0.410105 | + | 0.0801163i | ||||
\(610\) | 9.82842 | + | 21.5212i | 0.397941 | + | 0.871369i | ||||
\(611\) | 3.35146 | + | 1.34172i | 0.135586 | + | 0.0542803i | ||||
\(612\) | 0.0927236 | − | 1.94651i | 0.00374813 | − | 0.0786829i | ||||
\(613\) | −19.6639 | − | 18.7495i | −0.794218 | − | 0.757285i | 0.179813 | − | 0.983701i | \(-0.442451\pi\) |
−0.974031 | + | 0.226415i | \(0.927299\pi\) | |||||||
\(614\) | −8.91326 | − | 7.00946i | −0.359710 | − | 0.282879i | ||||
\(615\) | −6.92603 | + | 7.99306i | −0.279284 | + | 0.322311i | ||||
\(616\) | −1.49172 | + | 29.7344i | −0.0601031 | + | 1.19803i | ||||
\(617\) | 5.17793 | + | 5.97565i | 0.208456 | + | 0.240571i | 0.850344 | − | 0.526228i | \(-0.176394\pi\) |
−0.641888 | + | 0.766798i | \(0.721849\pi\) | |||||||
\(618\) | −1.50743 | + | 1.43733i | −0.0606377 | + | 0.0578179i | ||||
\(619\) | −39.8224 | + | 3.80258i | −1.60060 | + | 0.152838i | −0.856830 | − | 0.515600i | \(-0.827569\pi\) |
−0.743768 | + | 0.668438i | \(0.766963\pi\) | |||||||
\(620\) | −19.3582 | − | 33.5295i | −0.777446 | − | 1.34658i | ||||
\(621\) | 0.405243 | + | 4.77868i | 0.0162619 | + | 0.191762i | ||||
\(622\) | 14.5372 | 0.582890 | ||||||||
\(623\) | 2.56896 | − | 4.42372i | 0.102923 | − | 0.177233i | ||||
\(624\) | −1.16094 | − | 0.340884i | −0.0464750 | − | 0.0136463i | ||||
\(625\) | 66.6831 | − | 12.8521i | 2.66732 | − | 0.514085i | ||||
\(626\) | −10.1731 | − | 5.24462i | −0.406601 | − | 0.209617i | ||||
\(627\) | 16.9913 | + | 3.27481i | 0.678568 | + | 0.130783i | ||||
\(628\) | 7.71525 | + | 6.06734i | 0.307872 | + | 0.242113i | ||||
\(629\) | −10.0249 | + | 2.94357i | −0.399718 | + | 0.117368i | ||||
\(630\) | −0.904156 | + | 6.17772i | −0.0360224 | + | 0.246126i | ||||
\(631\) | 3.90069 | + | 27.1299i | 0.155284 | + | 1.08002i | 0.907180 | + | 0.420743i | \(0.138231\pi\) |
−0.751896 | + | 0.659282i | \(0.770860\pi\) | |||||||
\(632\) | −17.4548 | − | 1.66674i | −0.694317 | − | 0.0662992i | ||||
\(633\) | −4.95871 | + | 6.96353i | −0.197091 | + | 0.276776i | ||||
\(634\) | −0.839464 | + | 0.660162i | −0.0333394 | + | 0.0262184i | ||||
\(635\) | 62.3390 | − | 32.1380i | 2.47385 | − | 1.27536i | ||||
\(636\) | 21.0114 | − | 6.16951i | 0.833157 | − | 0.244637i | ||||
\(637\) | 2.52032 | + | 2.93847i | 0.0998586 | + | 0.116426i | ||||
\(638\) | 7.80234 | − | 9.00438i | 0.308898 | − | 0.356487i | ||||
\(639\) | 0.565488 | + | 11.8710i | 0.0223703 | + | 0.469611i | ||||
\(640\) | −15.7678 | + | 45.5580i | −0.623275 | + | 1.80084i | ||||
\(641\) | 1.63578 | + | 6.74278i | 0.0646095 | + | 0.266324i | 0.994950 | − | 0.100373i | \(-0.0320037\pi\) |
−0.930340 | + | 0.366697i | \(0.880489\pi\) | |||||||
\(642\) | 3.48048 | + | 4.88765i | 0.137364 | + | 0.192900i | ||||
\(643\) | −21.0858 | −0.831543 | −0.415772 | − | 0.909469i | \(-0.636488\pi\) | ||||
−0.415772 | + | 0.909469i | \(0.636488\pi\) | |||||||
\(644\) | 13.4041 | − | 16.5918i | 0.528195 | − | 0.653807i | ||||
\(645\) | −2.34799 | −0.0924521 | ||||||||
\(646\) | −1.21416 | − | 1.70505i | −0.0477706 | − | 0.0670844i | ||||
\(647\) | 2.43271 | + | 10.0278i | 0.0956398 | + | 0.394233i | 0.999431 | − | 0.0337418i | \(-0.0107424\pi\) |
−0.903791 | + | 0.427975i | \(0.859227\pi\) | |||||||
\(648\) | 0.679971 | − | 1.96465i | 0.0267118 | − | 0.0771787i | ||||
\(649\) | −0.0920658 | − | 1.93270i | −0.00361390 | − | 0.0758651i | ||||
\(650\) | 2.54820 | − | 2.94078i | 0.0999486 | − | 0.115347i | ||||
\(651\) | 3.47410 | − | 14.1642i | 0.136161 | − | 0.555138i | ||||
\(652\) | 25.0227 | − | 7.34734i | 0.979966 | − | 0.287744i | ||||
\(653\) | −15.8036 | + | 8.14734i | −0.618444 | + | 0.318830i | −0.738825 | − | 0.673898i | \(-0.764619\pi\) |
0.120380 | + | 0.992728i | \(0.461589\pi\) | |||||||
\(654\) | −1.61726 | + | 1.27183i | −0.0632400 | + | 0.0497325i | ||||
\(655\) | 36.2788 | − | 50.9465i | 1.41753 | − | 1.99064i | ||||
\(656\) | −5.51295 | − | 0.526423i | −0.215245 | − | 0.0205534i | ||||
\(657\) | 1.21742 | + | 8.46737i | 0.0474962 | + | 0.330343i | ||||
\(658\) | 9.06468 | − | 3.60241i | 0.353378 | − | 0.140436i | ||||
\(659\) | 2.38642 | − | 0.700717i | 0.0929618 | − | 0.0272960i | −0.234921 | − | 0.972014i | \(-0.575483\pi\) |
0.327883 | + | 0.944718i | \(0.393665\pi\) | |||||||
\(660\) | −29.8829 | − | 23.5002i | −1.16319 | − | 0.914744i | ||||
\(661\) | −17.0839 | − | 3.29266i | −0.664488 | − | 0.128070i | −0.154155 | − | 0.988047i | \(-0.549266\pi\) |
−0.510333 | + | 0.859977i | \(0.670478\pi\) | |||||||
\(662\) | 3.56160 | + | 1.83613i | 0.138426 | + | 0.0713634i | ||||
\(663\) | −0.629521 | + | 0.121330i | −0.0244486 | + | 0.00471208i | ||||
\(664\) | −28.5325 | − | 8.37790i | −1.10728 | − | 0.325126i | ||||
\(665\) | −17.5936 | − | 30.6515i | −0.682249 | − | 1.18861i | ||||
\(666\) | −5.09032 | −0.197246 | ||||||||
\(667\) | −18.2106 | + | 4.21398i | −0.705118 | + | 0.163166i | ||||
\(668\) | −3.12080 | − | 5.40538i | −0.120747 | − | 0.209140i | ||||
\(669\) | 0.391688 | − | 0.0374016i | 0.0151435 | − | 0.00144603i | ||||
\(670\) | 9.72417 | − | 9.27198i | 0.375677 | − | 0.358208i | ||||
\(671\) | −35.5363 | − | 41.0111i | −1.37186 | − | 1.58322i | ||||
\(672\) | −12.7004 | + | 6.50694i | −0.489928 | + | 0.251011i | ||||
\(673\) | 23.4965 | − | 27.1164i | 0.905723 | − | 1.04526i | −0.0930459 | − | 0.995662i | \(-0.529660\pi\) |
0.998769 | − | 0.0495986i | \(-0.0157942\pi\) | |||||||
\(674\) | −13.1323 | − | 10.3274i | −0.505838 | − | 0.397796i | ||||
\(675\) | −9.01623 | − | 8.59696i | −0.347035 | − | 0.330897i | ||||
\(676\) | 1.01535 | − | 21.3149i | 0.0390521 | − | 0.819804i | ||||
\(677\) | −21.8216 | − | 8.73606i | −0.838673 | − | 0.335754i | −0.0877489 | − | 0.996143i | \(-0.527967\pi\) |
−0.750924 | + | 0.660389i | \(0.770392\pi\) | |||||||
\(678\) | −0.890913 | − | 1.95083i | −0.0342153 | − | 0.0749211i | ||||
\(679\) | 17.2324 | − | 19.7860i | 0.661318 | − | 0.759317i | ||||
\(680\) | 1.43310 | + | 9.96742i | 0.0549568 | + | 0.382233i | ||||
\(681\) | −8.22114 | + | 4.23829i | −0.315035 | + | 0.162412i | ||||
\(682\) | −12.1954 | − | 11.6283i | −0.466985 | − | 0.445269i | ||||
\(683\) | −17.5834 | + | 7.03935i | −0.672812 | + | 0.269353i | −0.682809 | − | 0.730597i | \(-0.739242\pi\) |
0.00999736 | + | 0.999950i | \(0.496818\pi\) | |||||||
\(684\) | 1.75774 | + | 5.07865i | 0.0672088 | + | 0.194187i | ||||
\(685\) | 80.3380 | − | 51.6301i | 3.06956 | − | 1.97269i | ||||
\(686\) | 10.4048 | + | 1.07317i | 0.397257 | + | 0.0409739i | ||||
\(687\) | 13.9933 | + | 4.10881i | 0.533879 | + | 0.156761i | ||||
\(688\) | −0.713160 | − | 1.00149i | −0.0271890 | − | 0.0381816i | ||||
\(689\) | −3.60218 | − | 6.23916i | −0.137232 | − | 0.237693i | ||||
\(690\) | −3.07319 | − | 10.8921i | −0.116994 | − | 0.414656i | ||||
\(691\) | 12.9270 | − | 22.3902i | 0.491765 | − | 0.851762i | −0.508190 | − | 0.861245i | \(-0.669685\pi\) |
0.999955 | + | 0.00948306i | \(0.00301860\pi\) | |||||||
\(692\) | 4.30111 | − | 9.41813i | 0.163504 | − | 0.358023i | ||||
\(693\) | −2.00218 | − | 14.1796i | −0.0760564 | − | 0.538640i | ||||
\(694\) | 2.97303 | + | 3.43106i | 0.112855 | + | 0.130241i | ||||
\(695\) | 0.830643 | + | 17.4373i | 0.0315081 | + | 0.661436i | ||||
\(696\) | 7.95647 | + | 1.53348i | 0.301589 | + | 0.0581265i | ||||
\(697\) | −2.72418 | + | 1.09060i | −0.103186 | + | 0.0413093i | ||||
\(698\) | 2.95364 | − | 12.1751i | 0.111797 | − | 0.460833i | ||||
\(699\) | 11.0834 | + | 7.12288i | 0.419213 | + | 0.269412i | ||||
\(700\) | 2.49656 | + | 55.3510i | 0.0943612 | + | 2.09207i | ||||
\(701\) | −11.0343 | − | 24.1618i | −0.416762 | − | 0.912580i | −0.995292 | − | 0.0969198i | \(-0.969101\pi\) |
0.578531 | − | 0.815661i | \(-0.303626\pi\) | |||||||
\(702\) | −0.310933 | − | 0.0296905i | −0.0117354 | − | 0.00112060i | ||||
\(703\) | 22.6494 | − | 17.8117i | 0.854238 | − | 0.671780i | ||||
\(704\) | 0.342380 | − | 7.18744i | 0.0129039 | − | 0.270887i | ||||
\(705\) | −6.43021 | + | 26.5057i | −0.242176 | + | 0.998262i | ||||
\(706\) | −2.77828 | + | 19.3234i | −0.104562 | + | 0.727246i | ||||
\(707\) | 5.08810 | + | 21.2071i | 0.191358 | + | 0.797576i | ||||
\(708\) | 0.505536 | − | 0.324888i | 0.0189992 | − | 0.0122100i | ||||
\(709\) | 9.57805 | − | 1.84602i | 0.359711 | − | 0.0693286i | −0.00619396 | − | 0.999981i | \(-0.501972\pi\) |
0.365905 | + | 0.930652i | \(0.380759\pi\) | |||||||
\(710\) | −6.61197 | − | 27.2549i | −0.248143 | − | 1.02286i | ||||
\(711\) | 8.39583 | − | 0.801704i | 0.314868 | − | 0.0300663i | ||||
\(712\) | 2.00986 | − | 3.48118i | 0.0753227 | − | 0.130463i | ||||
\(713\) | 4.72758 | + | 26.0096i | 0.177049 | + | 0.974068i | ||||
\(714\) | −1.00837 | + | 1.40851i | −0.0377371 | + | 0.0527120i | ||||
\(715\) | −5.19560 | + | 11.3768i | −0.194304 | + | 0.425467i | ||||
\(716\) | 1.48746 | − | 1.41829i | 0.0555889 | − | 0.0530039i | ||||
\(717\) | −1.19797 | + | 3.46131i | −0.0447391 | + | 0.129265i | ||||
\(718\) | 0.0424017 | + | 0.0218596i | 0.00158242 | + | 0.000815793i | ||||
\(719\) | 2.70476 | + | 7.81488i | 0.100870 | + | 0.291446i | 0.984133 | − | 0.177433i | \(-0.0567793\pi\) |
−0.883262 | + | 0.468879i | \(0.844658\pi\) | |||||||
\(720\) | 1.30096 | − | 9.04835i | 0.0484838 | − | 0.337212i | ||||
\(721\) | −9.58544 | + | 1.82234i | −0.356980 | + | 0.0678675i | ||||
\(722\) | −4.17122 | − | 2.68068i | −0.155237 | − | 0.0997645i | ||||
\(723\) | 1.60068 | + | 0.640818i | 0.0595301 | + | 0.0238323i | ||||
\(724\) | −5.56673 | + | 7.81738i | −0.206886 | + | 0.290531i | ||||
\(725\) | 28.1646 | − | 39.5517i | 1.04601 | − | 1.46891i | ||||
\(726\) | −9.59308 | − | 3.84049i | −0.356033 | − | 0.142534i | ||||
\(727\) | 15.4268 | + | 9.91419i | 0.572148 | + | 0.367697i | 0.794495 | − | 0.607271i | \(-0.207736\pi\) |
−0.222348 | + | 0.974967i | \(0.571372\pi\) | |||||||
\(728\) | 1.98625 | + | 2.30399i | 0.0736154 | + | 0.0853917i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −6.60254 | − | 19.0768i | −0.244371 | − | 0.706063i | ||||
\(731\) | −0.579027 | − | 0.298509i | −0.0214161 | − | 0.0110408i | ||||
\(732\) | 5.51226 | − | 15.9266i | 0.203739 | − | 0.588665i | ||||
\(733\) | 17.9134 | − | 17.0804i | 0.661647 | − | 0.630879i | −0.282941 | − | 0.959137i | \(-0.591310\pi\) |
0.944588 | + | 0.328258i | \(0.106462\pi\) | |||||||
\(734\) | −0.410781 | + | 0.899484i | −0.0151622 | + | 0.0332006i | ||||
\(735\) | −19.2647 | + | 22.0070i | −0.710590 | + | 0.811741i | ||||
\(736\) | 16.2046 | − | 20.1622i | 0.597308 | − | 0.743189i | ||||
\(737\) | −15.4087 | + | 26.6886i | −0.567586 | + | 0.983088i | ||||
\(738\) | −1.42316 | + | 0.135895i | −0.0523872 | + | 0.00500237i | ||||
\(739\) | 2.61515 | + | 10.7798i | 0.0961997 | + | 0.396541i | 0.999471 | − | 0.0325298i | \(-0.0103564\pi\) |
−0.903271 | + | 0.429070i | \(0.858841\pi\) | |||||||
\(740\) | −62.1596 | + | 11.9803i | −2.28503 | + | 0.440404i | ||||
\(741\) | 1.48739 | − | 0.955887i | 0.0546406 | − | 0.0351154i | ||||
\(742\) | −18.6635 | − | 5.53136i | −0.685160 | − | 0.203063i | ||||
\(743\) | −6.16045 | + | 42.8468i | −0.226005 | + | 1.57190i | 0.488687 | + | 0.872459i | \(0.337476\pi\) |
−0.714692 | + | 0.699439i | \(0.753433\pi\) | |||||||
\(744\) | 2.70177 | − | 11.1369i | 0.0990518 | − | 0.408297i | ||||
\(745\) | −0.512875 | + | 10.7666i | −0.0187903 | + | 0.394457i | ||||
\(746\) | −11.0524 | + | 8.69168i | −0.404656 | + | 0.318225i | ||||
\(747\) | 14.2388 | + | 1.35964i | 0.520972 | + | 0.0497468i | ||||
\(748\) | −4.38161 | − | 9.59439i | −0.160208 | − | 0.350806i | ||||
\(749\) | 1.26651 | + | 28.0796i | 0.0462773 | + | 1.02601i | ||||
\(750\) | 14.8056 | + | 9.51499i | 0.540625 | + | 0.347438i | ||||
\(751\) | 9.54861 | − | 39.3599i | 0.348434 | − | 1.43626i | −0.480538 | − | 0.876974i | \(-0.659559\pi\) |
0.828972 | − | 0.559290i | \(-0.188926\pi\) | |||||||
\(752\) | −13.2586 | + | 5.30793i | −0.483491 | + | 0.193560i | ||||
\(753\) | −29.8391 | − | 5.75101i | −1.08740 | − | 0.209578i | ||||
\(754\) | −0.0579253 | − | 1.21600i | −0.00210951 | − | 0.0442842i | ||||
\(755\) | 34.6545 | + | 39.9935i | 1.26121 | + | 1.45551i | ||||
\(756\) | 3.50294 | − | 2.74045i | 0.127401 | − | 0.0996693i | ||||
\(757\) | −12.5499 | + | 27.4805i | −0.456135 | + | 0.998796i | 0.532217 | + | 0.846608i | \(0.321359\pi\) |
−0.988352 | + | 0.152188i | \(0.951368\pi\) | |||||||
\(758\) | 4.64949 | − | 8.05315i | 0.168877 | − | 0.292504i | ||||
\(759\) | 13.8016 | + | 21.9846i | 0.500965 | + | 0.797990i | ||||
\(760\) | −13.8856 | − | 24.0505i | −0.503682 | − | 0.872403i | ||||
\(761\) | 1.60149 | + | 2.24897i | 0.0580538 | + | 0.0815251i | 0.842582 | − | 0.538568i | \(-0.181034\pi\) |
−0.784529 | + | 0.620093i | \(0.787095\pi\) | |||||||
\(762\) | 9.09638 | + | 2.67094i | 0.329527 | + | 0.0967579i | ||||
\(763\) | −9.59678 | + | 0.891923i | −0.347427 | + | 0.0322898i | ||||
\(764\) | −7.87719 | + | 5.06236i | −0.284987 | + | 0.183150i | ||||
\(765\) | −1.58420 | − | 4.57726i | −0.0572770 | − | 0.165491i | ||||
\(766\) | 7.88003 | − | 3.15469i | 0.284717 | − | 0.113984i | ||||
\(767\) | −0.143082 | − | 0.136429i | −0.00516640 | − | 0.00492615i | ||||
\(768\) | −3.42890 | + | 1.76772i | −0.123730 | + | 0.0637872i | ||||
\(769\) | −0.281013 | − | 1.95449i | −0.0101336 | − | 0.0704807i | 0.984127 | − | 0.177465i | \(-0.0567896\pi\) |
−0.994261 | + | 0.106984i | \(0.965881\pi\) | |||||||
\(770\) | 10.9721 | + | 31.9627i | 0.395406 | + | 1.15186i | ||||
\(771\) | −7.40036 | − | 16.2045i | −0.266517 | − | 0.583592i | ||||
\(772\) | 3.69610 | + | 1.47970i | 0.133026 | + | 0.0532555i | ||||
\(773\) | 0.243258 | − | 5.10662i | 0.00874940 | − | 0.183673i | −0.990262 | − | 0.139217i | \(-0.955542\pi\) |
0.999011 | − | 0.0444559i | \(-0.0141554\pi\) | |||||||
\(774\) | −0.229702 | − | 0.219020i | −0.00825646 | − | 0.00787252i | ||||
\(775\) | −53.9791 | − | 42.4496i | −1.93899 | − | 1.52484i | ||||
\(776\) | 13.5016 | − | 15.5817i | 0.484680 | − | 0.559350i | ||||
\(777\) | −20.0276 | − | 12.9426i | −0.718487 | − | 0.464312i | ||||
\(778\) | 0.819326 | + | 0.945553i | 0.0293743 | + | 0.0338997i | ||||
\(779\) | 5.85683 | − | 5.58447i | 0.209843 | − | 0.200084i | ||||
\(780\) | −3.86679 | + | 0.369234i | −0.138453 | + | 0.0132207i | ||||
\(781\) | 32.1628 | + | 55.7077i | 1.15088 | + | 1.99338i | ||||
\(782\) | 0.626891 | − | 3.07676i | 0.0224176 | − | 0.110025i | ||||
\(783\) | −3.89752 | −0.139286 | ||||||||
\(784\) | −15.2380 | − | 1.53278i | −0.544214 | − | 0.0547422i | ||||
\(785\) | 23.4080 | + | 6.87321i | 0.835468 | + | 0.245316i | ||||
\(786\) | 8.30140 | − | 1.59996i | 0.296101 | − | 0.0570688i | ||||
\(787\) | −44.8869 | − | 23.1408i | −1.60005 | − | 0.824881i | −0.999684 | − | 0.0251519i | \(-0.991993\pi\) |
−0.600362 | − | 0.799729i | \(-0.704977\pi\) | |||||||
\(788\) | −5.96697 | − | 1.15004i | −0.212565 | − | 0.0409685i | ||||
\(789\) | 5.79566 | + | 4.55776i | 0.206331 | + | 0.162261i | ||||
\(790\) | −19.0967 | + | 5.60729i | −0.679429 | + | 0.199498i | ||||
\(791\) | 1.45489 | − | 9.94065i | 0.0517299 | − | 0.353449i | ||||
\(792\) | −1.60142 | − | 11.1381i | −0.0569041 | − | 0.395777i | ||||
\(793\) | −5.51954 | − | 0.527052i | −0.196004 | − | 0.0187162i | ||||
\(794\) | 0.668391 | − | 0.938624i | 0.0237203 | − | 0.0333105i | ||||
\(795\) | 42.7849 | − | 33.6464i | 1.51742 | − | 1.19331i | ||||
\(796\) | 17.0482 | − | 8.78897i | 0.604258 | − | 0.311517i | ||||
\(797\) | 27.5238 | − | 8.08173i | 0.974945 | − | 0.286270i | 0.244809 | − | 0.969571i | \(-0.421275\pi\) |
0.730136 | + | 0.683302i | \(0.239457\pi\) | |||||||
\(798\) | 1.13800 | − | 4.63973i | 0.0402849 | − | 0.164245i | ||||
\(799\) | −4.95549 | + | 5.71894i | −0.175313 | + | 0.202321i | ||||
\(800\) | 3.19720 | + | 67.1176i | 0.113038 | + | 2.37296i | ||||
\(801\) | −0.632384 | + | 1.82715i | −0.0223442 | + | 0.0645593i | ||||
\(802\) | −2.91214 | − | 12.0040i | −0.102831 | − | 0.423876i | ||||
\(803\) | 26.8575 | + | 37.7161i | 0.947780 | + | 1.33097i | ||||
\(804\) | −9.57114 | −0.337548 | ||||||||
\(805\) | 15.6028 | − | 50.6683i | 0.549927 | − | 1.78582i | ||||
\(806\) | −1.72174 | −0.0606456 | ||||||||
\(807\) | −8.84915 | − | 12.4269i | −0.311505 | − | 0.437447i | ||||
\(808\) | 4.04024 | + | 16.6541i | 0.142135 | + | 0.585889i | ||||
\(809\) | 4.07848 | − | 11.7840i | 0.143392 | − | 0.414303i | −0.850321 | − | 0.526265i | \(-0.823592\pi\) |
0.993713 | + | 0.111961i | \(0.0357133\pi\) | |||||||
\(810\) | −0.112285 | − | 2.35716i | −0.00394531 | − | 0.0828222i | ||||
\(811\) | 20.0162 | − | 23.0999i | 0.702862 | − | 0.811146i | −0.286274 | − | 0.958148i | \(-0.592417\pi\) |
0.989136 | + | 0.147001i | \(0.0469622\pi\) | |||||||
\(812\) | 12.5152 | + | 11.9938i | 0.439198 | + | 0.420898i | ||||
\(813\) | −27.7133 | + | 8.13737i | −0.971949 | + | 0.285390i | ||||
\(814\) | −24.4889 | + | 12.6249i | −0.858337 | + | 0.442504i | ||||
\(815\) | 50.9530 | − | 40.0699i | 1.78481 | − | 1.40359i | ||||
\(816\) | 1.47117 | − | 2.06597i | 0.0515013 | − | 0.0723235i | ||||
\(817\) | 1.78844 | + | 0.170775i | 0.0625695 | + | 0.00597466i | ||||
\(818\) | −0.198556 | − | 1.38099i | −0.00694236 | − | 0.0482852i | ||||
\(819\) | −1.14786 | − | 0.907390i | −0.0401095 | − | 0.0317068i | ||||
\(820\) | −17.0588 | + | 5.00892i | −0.595720 | + | 0.174919i | ||||
\(821\) | −36.9504 | − | 29.0581i | −1.28958 | − | 1.01414i | −0.998347 | − | 0.0574824i | \(-0.981693\pi\) |
−0.291231 | − | 0.956653i | \(-0.594065\pi\) | |||||||
\(822\) | 12.6754 | + | 2.44299i | 0.442107 | + | 0.0852090i | ||||
\(823\) | −13.7363 | − | 7.08157i | −0.478818 | − | 0.246848i | 0.201882 | − | 0.979410i | \(-0.435294\pi\) |
−0.680700 | + | 0.732562i | \(0.738324\pi\) | |||||||
\(824\) | −7.52845 | + | 1.45099i | −0.262266 | + | 0.0505476i | ||||
\(825\) | −64.6980 | − | 18.9970i | −2.25250 | − | 0.661392i | ||||
\(826\) | −0.534178 | − | 0.00134945i | −0.0185864 | − | 4.69534e-5i | ||||
\(827\) | −7.92805 | −0.275685 | −0.137843 | − | 0.990454i | \(-0.544017\pi\) | ||||
−0.137843 | + | 0.990454i | \(0.544017\pi\) | |||||||
\(828\) | −3.76991 | + | 7.12611i | −0.131013 | + | 0.247650i | ||||
\(829\) | −19.0548 | − | 33.0038i | −0.661800 | − | 1.14627i | −0.980142 | − | 0.198295i | \(-0.936460\pi\) |
0.318343 | − | 0.947976i | \(-0.396874\pi\) | |||||||
\(830\) | −33.6013 | + | 3.20853i | −1.16632 | + | 0.111370i | ||||
\(831\) | 16.0045 | − | 15.2603i | 0.555191 | − | 0.529374i | ||||
\(832\) | −0.481466 | − | 0.555641i | −0.0166918 | − | 0.0192634i | ||||
\(833\) | −7.54861 | + | 2.97785i | −0.261544 | + | 0.103176i | ||||
\(834\) | −1.54529 | + | 1.78336i | −0.0535090 | + | 0.0617527i | ||||
\(835\) | −12.1947 | − | 9.59004i | −0.422016 | − | 0.331877i | ||||
\(836\) | 21.0522 | + | 20.0733i | 0.728107 | + | 0.694248i | ||||
\(837\) | −0.262283 | + | 5.50600i | −0.00906582 | + | 0.190315i | ||||
\(838\) | −4.62828 | − | 1.85288i | −0.159881 | − | 0.0640068i | ||||
\(839\) | 1.77867 | + | 3.89475i | 0.0614066 | + | 0.134462i | 0.937847 | − | 0.347048i | \(-0.112816\pi\) |
−0.876441 | + | 0.481510i | \(0.840089\pi\) | |||||||
\(840\) | −15.0942 | + | 17.3310i | −0.520799 | + | 0.597975i | ||||
\(841\) | 1.96528 | + | 13.6688i | 0.0677682 | + | 0.471338i | ||||
\(842\) | −12.3981 | + | 6.39167i | −0.427267 | + | 0.220271i | ||||
\(843\) | 8.02666 | + | 7.65340i | 0.276453 | + | 0.263597i | ||||
\(844\) | −13.3410 | + | 5.34095i | −0.459218 | + | 0.183843i | ||||
\(845\) | −17.3475 | − | 50.1224i | −0.596774 | − | 1.72426i | ||||
\(846\) | −3.10150 | + | 1.99322i | −0.106632 | + | 0.0685282i | ||||
\(847\) | −27.9787 | − | 39.5014i | −0.961361 | − | 1.35729i | ||||
\(848\) | 27.3464 | + | 8.02962i | 0.939079 | + | 0.275738i | ||||
\(849\) | 11.5510 | + | 16.2212i | 0.396431 | + | 0.556709i | ||||
\(850\) | 4.07829 | + | 7.06380i | 0.139884 | + | 0.242286i | ||||
\(851\) | 42.7164 | + | 6.60456i | 1.46430 | + | 0.226401i | ||||
\(852\) | −9.98902 | + | 17.3015i | −0.342218 | + | 0.592739i | ||||
\(853\) | 9.40660 | − | 20.5976i | 0.322076 | − | 0.705248i | −0.677465 | − | 0.735555i | \(-0.736921\pi\) |
0.999541 | + | 0.0303073i | \(0.00964858\pi\) | |||||||
\(854\) | −11.7996 | + | 9.23114i | −0.403773 | + | 0.315883i | ||||
\(855\) | 8.74761 | + | 10.0953i | 0.299162 | + | 0.345251i | ||||
\(856\) | 1.05094 | + | 22.0620i | 0.0359204 | + | 0.754062i | ||||
\(857\) | 7.77438 | + | 1.49839i | 0.265568 | + | 0.0511840i | 0.320297 | − | 0.947317i | \(-0.396217\pi\) |
−0.0547289 | + | 0.998501i | \(0.517429\pi\) | |||||||
\(858\) | −1.56950 | + | 0.628334i | −0.0535819 | + | 0.0214510i | ||||
\(859\) | −5.70353 | + | 23.5103i | −0.194602 | + | 0.802160i | 0.787884 | + | 0.615824i | \(0.211177\pi\) |
−0.982486 | + | 0.186336i | \(0.940339\pi\) | |||||||
\(860\) | −3.32044 | − | 2.13392i | −0.113226 | − | 0.0727659i | ||||
\(861\) | −5.94487 | − | 3.08383i | −0.202600 | − | 0.105096i | ||||
\(862\) | 8.91772 | + | 19.5271i | 0.303739 | + | 0.665095i | ||||
\(863\) | 44.7327 | + | 4.27146i | 1.52272 | + | 0.145402i | 0.822599 | − | 0.568622i | \(-0.192523\pi\) |
0.700121 | + | 0.714024i | \(0.253129\pi\) | |||||||
\(864\) | 4.23969 | − | 3.33413i | 0.144237 | − | 0.113429i | ||||
\(865\) | 1.22452 | − | 25.7058i | 0.0416349 | − | 0.874024i | ||||
\(866\) | 3.10897 | − | 12.8154i | 0.105647 | − | 0.435483i | ||||
\(867\) | −2.22810 | + | 15.4968i | −0.0756703 | + | 0.526298i | ||||
\(868\) | 17.7857 | − | 16.8731i | 0.603686 | − | 0.572709i | ||||
\(869\) | 38.4030 | − | 24.6801i | 1.30273 | − | 0.837214i | ||||
\(870\) | 9.03128 | − | 1.74064i | 0.306189 | − | 0.0590131i | ||||
\(871\) | 0.742359 | + | 3.06004i | 0.0251539 | + | 0.103686i | ||||
\(872\) | −7.53921 | + | 0.719907i | −0.255310 | + | 0.0243791i | ||||
\(873\) | −4.95854 | + | 8.58845i | −0.167821 | + | 0.290675i | ||||
\(874\) | 1.54860 | + | 8.51991i | 0.0523822 | + | 0.288190i | ||||
\(875\) | 34.0593 | + | 75.0808i | 1.15141 | + | 2.53819i | ||||
\(876\) | −5.97373 | + | 13.0806i | −0.201834 | + | 0.441954i | ||||
\(877\) | 1.77417 | − | 1.69166i | 0.0599093 | − | 0.0571234i | −0.659533 | − | 0.751676i | \(-0.729246\pi\) |
0.719442 | + | 0.694552i | \(0.244397\pi\) | |||||||
\(878\) | −0.823941 | + | 2.38062i | −0.0278067 | + | 0.0803421i | ||||
\(879\) | 25.7216 | + | 13.2604i | 0.867570 | + | 0.447263i | ||||
\(880\) | −16.1828 | − | 46.7571i | −0.545522 | − | 1.57618i | ||||
\(881\) | −1.64197 | + | 11.4202i | −0.0553194 | + | 0.384755i | 0.943287 | + | 0.331979i | \(0.107716\pi\) |
−0.998606 | + | 0.0527764i | \(0.983193\pi\) | |||||||
\(882\) | −3.93746 | + | 0.355916i | −0.132581 | + | 0.0119843i | ||||
\(883\) | 12.0975 | + | 7.77460i | 0.407114 | + | 0.261636i | 0.728132 | − | 0.685437i | \(-0.240389\pi\) |
−0.321018 | + | 0.947073i | \(0.604025\pi\) | |||||||
\(884\) | −1.00051 | − | 0.400544i | −0.0336508 | − | 0.0134718i | ||||
\(885\) | 0.866403 | − | 1.21669i | 0.0291238 | − | 0.0408987i | ||||
\(886\) | −2.34020 | + | 3.28636i | −0.0786207 | + | 0.110407i | ||||
\(887\) | −38.5075 | − | 15.4161i | −1.29296 | − | 0.517621i | −0.379738 | − | 0.925094i | \(-0.623986\pi\) |
−0.913218 | + | 0.407472i | \(0.866410\pi\) | |||||||
\(888\) | −15.7630 | − | 10.1303i | −0.528973 | − | 0.339950i | ||||
\(889\) | 28.9982 | + | 33.6370i | 0.972567 | + | 1.12815i | ||||
\(890\) | 0.649344 | − | 4.51629i | 0.0217661 | − | 0.151386i | ||||
\(891\) | 1.77028 | + | 5.11488i | 0.0593065 | + | 0.171355i | ||||
\(892\) | 0.587901 | + | 0.303084i | 0.0196844 | + | 0.0101480i | ||||
\(893\) | 6.82563 | − | 19.7214i | 0.228411 | − | 0.659950i | ||||
\(894\) | −1.05448 | + | 1.00544i | −0.0352670 | + | 0.0336270i | ||||
\(895\) | 2.12213 | − | 4.64682i | 0.0709350 | − | 0.155326i | ||||
\(896\) | −30.3814 | − | 2.97854i | −1.01497 | − | 0.0995060i | ||||
\(897\) | 2.57073 | + | 0.652581i | 0.0858342 | + | 0.0217891i | ||||
\(898\) | −2.73861 | + | 4.74341i | −0.0913886 | + | 0.158290i | ||||
\(899\) | −21.3868 | + | 2.04219i | −0.713288 | + | 0.0681108i | ||||
\(900\) | −4.93726 | − | 20.3516i | −0.164575 | − | 0.678388i | ||||
\(901\) | 14.8285 | − | 2.85797i | 0.494011 | − | 0.0952127i | ||||
\(902\) | −6.50960 | + | 4.18346i | −0.216746 | + | 0.139294i | ||||
\(903\) | −0.346873 | − | 1.44576i | −0.0115432 | − | 0.0481119i | ||||
\(904\) | 1.12349 | − | 7.81407i | 0.0373669 | − | 0.259892i | ||||
\(905\) | −5.62371 | + | 23.1812i | −0.186938 | + | 0.770570i | ||||
\(906\) | −0.340363 | + | 7.14509i | −0.0113078 | + | 0.237380i | ||||
\(907\) | 21.3780 | − | 16.8119i | 0.709846 | − | 0.558229i | −0.196634 | − | 0.980477i | \(-0.563001\pi\) |
0.906480 | + | 0.422248i | \(0.138759\pi\) | |||||||
\(908\) | −15.4779 | − | 1.47796i | −0.513651 | − | 0.0490478i | ||||
\(909\) | −3.42427 | − | 7.49811i | −0.113576 | − | 0.248697i | ||||
\(910\) | 3.06505 | + | 1.58996i | 0.101605 | + | 0.0527066i | ||||
\(911\) | −9.50818 | − | 6.11054i | −0.315020 | − | 0.202451i | 0.373570 | − | 0.927602i | \(-0.378134\pi\) |
−0.688590 | + | 0.725151i | \(0.741770\pi\) | |||||||
\(912\) | −1.64903 | + | 6.79739i | −0.0546048 | + | 0.225084i | ||||
\(913\) | 71.8735 | − | 28.7738i | 2.37867 | − | 0.952274i | ||||
\(914\) | 9.07249 | + | 1.74858i | 0.300091 | + | 0.0578378i | ||||
\(915\) | −1.99323 | − | 41.8431i | −0.0658943 | − | 1.38329i | ||||
\(916\) | 16.0546 | + | 18.5280i | 0.530459 | + | 0.612183i | ||||
\(917\) | 36.7295 | + | 14.8120i | 1.21291 | + | 0.489136i | ||||
\(918\) | 0.271984 | − | 0.595563i | 0.00897682 | − | 0.0196565i | ||||
\(919\) | −1.90481 | + | 3.29922i | −0.0628338 | + | 0.108831i | −0.895731 | − | 0.444596i | \(-0.853347\pi\) |
0.832897 | + | 0.553428i | \(0.186680\pi\) | |||||||
\(920\) | 12.1598 | − | 39.8452i | 0.400898 | − | 1.31366i | ||||
\(921\) | 10.0385 | + | 17.3872i | 0.330780 | + | 0.572929i | ||||
\(922\) | 5.33870 | + | 7.49716i | 0.175821 | + | 0.246906i | ||||
\(923\) | 6.30633 | + | 1.85170i | 0.207575 | + | 0.0609496i | ||||
\(924\) | 10.0554 | − | 21.8719i | 0.330799 | − | 0.719533i | ||||
\(925\) | −94.4568 | + | 60.7037i | −3.10572 | + | 1.99593i | ||||
\(926\) | 6.59682 | + | 19.0602i | 0.216785 | + | 0.626359i | ||||
\(927\) | 3.42368 | − | 1.37063i | 0.112448 | − | 0.0450175i | ||||
\(928\) | 15.2142 | + | 14.5067i | 0.499431 | + | 0.476206i | ||||
\(929\) | 18.1297 | − | 9.34650i | 0.594815 | − | 0.306649i | −0.134406 | − | 0.990926i | \(-0.542913\pi\) |
0.729221 | + | 0.684278i | \(0.239882\pi\) | |||||||
\(930\) | −1.85123 | − | 12.8756i | −0.0607041 | − | 0.422206i | ||||
\(931\) | 16.2743 | − | 15.3613i | 0.533369 | − | 0.503446i | ||||
\(932\) | 9.20027 | + | 20.1458i | 0.301365 | + | 0.659897i | ||||
\(933\) | −23.8955 | − | 9.56633i | −0.782305 | − | 0.313188i | ||||
\(934\) | −0.303590 | + | 6.37314i | −0.00993377 | + | 0.208536i | ||||
\(935\) | −18.9738 | − | 18.0915i | −0.620511 | − | 0.591656i | ||||
\(936\) | −0.903770 | − | 0.710733i | −0.0295406 | − | 0.0232310i | ||||
\(937\) | −5.31803 | + | 6.13733i | −0.173732 | + | 0.200498i | −0.835937 | − | 0.548825i | \(-0.815075\pi\) |
0.662205 | + | 0.749323i | \(0.269621\pi\) | |||||||
\(938\) | 7.14572 | + | 4.61782i | 0.233316 | + | 0.150777i | ||||
\(939\) | 13.2708 | + | 15.3154i | 0.433077 | + | 0.499798i | ||||
\(940\) | −33.1824 | + | 31.6393i | −1.08229 | + | 1.03196i | ||||
\(941\) | −18.1241 | + | 1.73064i | −0.590828 | + | 0.0564172i | −0.386188 | − | 0.922420i | \(-0.626208\pi\) |
−0.204640 | + | 0.978837i | \(0.565602\pi\) | |||||||
\(942\) | 1.64885 | + | 2.85589i | 0.0537225 | + | 0.0930500i | ||||
\(943\) | 12.1190 | + | 0.706120i | 0.394649 | + | 0.0229944i | ||||
\(944\) | 0.782113 | 0.0254556 | ||||||||
\(945\) | 5.55150 | − | 9.55962i | 0.180590 | − | 0.310975i | ||||
\(946\) | −1.64828 | − | 0.483978i | −0.0535901 | − | 0.0157355i | ||||
\(947\) | −15.8826 | + | 3.06112i | −0.516115 | + | 0.0994729i | −0.440656 | − | 0.897676i | \(-0.645254\pi\) |
−0.0754585 | + | 0.997149i | \(0.524042\pi\) | |||||||
\(948\) | 12.6017 | + | 6.49660i | 0.409283 | + | 0.211000i | ||||
\(949\) | 4.64542 | + | 0.895331i | 0.150797 | + | 0.0290637i | ||||
\(950\) | −17.6818 | − | 13.9051i | −0.573674 | − | 0.451142i | ||||
\(951\) | 1.81429 | − | 0.532724i | 0.0588324 | − | 0.0172748i | ||||
\(952\) | −5.92565 | + | 2.35492i | −0.192051 | + | 0.0763235i | ||||
\(953\) | 1.84862 | + | 12.8574i | 0.0598826 | + | 0.416493i | 0.997609 | + | 0.0691168i | \(0.0220181\pi\) |
−0.937726 | + | 0.347376i | \(0.887073\pi\) | |||||||
\(954\) | 7.32413 | + | 0.699369i | 0.237127 | + | 0.0226429i | ||||
\(955\) | −13.5002 | + | 18.9583i | −0.436856 | + | 0.613478i | ||||
\(956\) | −4.83985 | + | 3.80610i | −0.156532 | + | 0.123098i | ||||
\(957\) | −18.7505 | + | 9.66655i | −0.606117 | + | 0.312475i | ||||
\(958\) | −9.19382 | + | 2.69955i | −0.297039 | + | 0.0872185i | ||||
\(959\) | 43.6593 | + | 41.8402i | 1.40983 | + | 1.35109i | ||||
\(960\) | 3.63754 | − | 4.19795i | 0.117401 | − | 0.135488i | ||||
\(961\) | −0.0292733 | − | 0.614523i | −0.000944301 | − | 0.0198233i | ||||
\(962\) | −0.920740 | + | 2.66030i | −0.0296858 | + | 0.0857716i | ||||
\(963\) | −2.50468 | − | 10.3244i | −0.0807121 | − | 0.332700i | ||||
\(964\) | 1.68123 | + | 2.36096i | 0.0541489 | + | 0.0760415i | ||||
\(965\) | 9.89575 | 0.318556 | ||||||||
\(966\) | 6.25274 | − | 3.50140i | 0.201178 | − | 0.112656i | ||||
\(967\) | 45.8813 | 1.47544 | 0.737722 | − | 0.675105i | \(-0.235902\pi\) | ||||
0.737722 | + | 0.675105i | \(0.235902\pi\) | |||||||
\(968\) | −22.0636 | − | 30.9840i | −0.709151 | − | 0.995863i | ||||
\(969\) | 0.873754 | + | 3.60166i | 0.0280690 | + | 0.115702i | ||||
\(970\) | 7.65427 | − | 22.1155i | 0.245764 | − | 0.710087i | ||||
\(971\) | 1.16477 | + | 24.4515i | 0.0373792 | + | 0.784685i | 0.937277 | + | 0.348585i | \(0.113338\pi\) |
−0.899898 | + | 0.436100i | \(0.856359\pi\) | |||||||
\(972\) | −1.10083 | + | 1.27043i | −0.0353092 | + | 0.0407490i | ||||
\(973\) | −10.6142 | + | 3.08751i | −0.340276 | + | 0.0989810i | ||||
\(974\) | 2.98037 | − | 0.875115i | 0.0954972 | − | 0.0280405i | ||||
\(975\) | −6.12380 | + | 3.15704i | −0.196118 | + | 0.101106i | ||||
\(976\) | 17.2420 | − | 13.5593i | 0.551904 | − | 0.434022i | ||||
\(977\) | −21.5735 | + | 30.2957i | −0.690196 | + | 0.969245i | 0.309635 | + | 0.950856i | \(0.399793\pi\) |
−0.999831 | + | 0.0183893i | \(0.994146\pi\) | |||||||
\(978\) | 8.72239 | + | 0.832887i | 0.278911 | + | 0.0266328i | ||||
\(979\) | 1.48935 | + | 10.3587i | 0.0475998 | + | 0.331064i | ||||
\(980\) | −47.2439 | + | 13.6132i | −1.50915 | + | 0.434857i | ||||
\(981\) | 3.49531 | − | 1.02632i | 0.111597 | − | 0.0327678i | ||||
\(982\) | 17.7910 | + | 13.9910i | 0.567733 | + | 0.446470i | ||||
\(983\) | −38.5001 | − | 7.42028i | −1.22796 | − | 0.236670i | −0.466289 | − | 0.884633i | \(-0.654409\pi\) |
−0.761672 | + | 0.647962i | \(0.775621\pi\) | |||||||
\(984\) | −4.67749 | − | 2.41141i | −0.149113 | − | 0.0768731i | ||||
\(985\) | −14.8313 | + | 2.85850i | −0.472564 | + | 0.0910793i | ||||
\(986\) | 2.44845 | + | 0.718930i | 0.0779746 | + | 0.0228954i | ||||
\(987\) | −17.2706 | − | 0.0436295i | −0.549730 | − | 0.00138874i | ||||
\(988\) | 2.97214 | 0.0945564 | ||||||||
\(989\) | 1.64341 | + | 2.13598i | 0.0522575 | + | 0.0679202i | ||||
\(990\) | −6.38638 | − | 11.0615i | −0.202972 | − | 0.351558i | ||||
\(991\) | −37.1785 | + | 3.55011i | −1.18101 | + | 0.112773i | −0.667033 | − | 0.745029i | \(-0.732436\pi\) |
−0.513981 | + | 0.857802i | \(0.671830\pi\) | |||||||
\(992\) | 21.5174 | − | 20.5168i | 0.683178 | − | 0.651409i | ||||
\(993\) | −4.64610 | − | 5.36188i | −0.147439 | − | 0.170154i | ||||
\(994\) | 15.8052 | − | 8.09768i | 0.501311 | − | 0.256843i | ||||
\(995\) | 31.2199 | − | 36.0297i | 0.989737 | − | 1.14222i | ||||
\(996\) | 18.9003 | + | 14.8634i | 0.598880 | + | 0.470964i | ||||
\(997\) | 3.36476 | + | 3.20830i | 0.106563 | + | 0.101608i | 0.741488 | − | 0.670966i | \(-0.234120\pi\) |
−0.634925 | + | 0.772574i | \(0.718969\pi\) | |||||||
\(998\) | −0.504934 | + | 10.5999i | −0.0159834 | + | 0.335533i | ||||
\(999\) | 8.36721 | + | 3.34973i | 0.264727 | + | 0.105981i |
(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 | 483.2.y.a.121.10 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.a.466.7 | yes | 320 | |
23.4 | even | 11 | inner | 483.2.y.a.142.7 | yes | 320 | |
161.4 | even | 33 | inner | 483.2.y.a.4.10 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.4.10 | ✓ | 320 | 161.4 | even | 33 | inner | |
483.2.y.a.121.10 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.142.7 | yes | 320 | 23.4 | even | 11 | inner | |
483.2.y.a.466.7 | yes | 320 | 7.4 | even | 3 | inner |