Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [46,2,Mod(3,46)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(46, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("46.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 46 = 2 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 46.c (of order \(11\), degree \(10\), 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: | \(0.367311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Root | \(0.959493 + 0.281733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 46.41 |
Dual form | 46.2.c.a.9.1 |
$q$-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 \(\left(\mathbb{Z}/46\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | 0.712591 | − | 0.822373i | 0.411414 | − | 0.474797i | −0.511788 | − | 0.859112i | \(-0.671017\pi\) |
0.923202 | + | 0.384314i | \(0.125562\pi\) | |||||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | 0.174863 | − | 1.21620i | 0.0782012 | − | 0.543902i | −0.912629 | − | 0.408789i | \(-0.865951\pi\) |
0.990830 | − | 0.135113i | \(-0.0431397\pi\) | |||||||
\(6\) | −0.915415 | + | 0.588302i | −0.373717 | + | 0.240173i | ||||
\(7\) | 0.260554 | + | 0.570534i | 0.0984803 | + | 0.215642i | 0.952459 | − | 0.304666i | \(-0.0985447\pi\) |
−0.853979 | + | 0.520307i | \(0.825817\pi\) | |||||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | 0.258432 | + | 1.79743i | 0.0861440 | + | 0.599144i | ||||
\(10\) | −0.510424 | + | 1.11767i | −0.161410 | + | 0.353439i | ||||
\(11\) | −5.65177 | + | 1.65951i | −1.70407 | + | 0.500361i | −0.981585 | − | 0.191025i | \(-0.938819\pi\) |
−0.722486 | + | 0.691385i | \(0.757001\pi\) | |||||||
\(12\) | 1.04408 | − | 0.306569i | 0.301399 | − | 0.0884988i | ||||
\(13\) | −0.977031 | + | 2.13940i | −0.270980 | + | 0.593362i | −0.995380 | − | 0.0960174i | \(-0.969390\pi\) |
0.724400 | + | 0.689380i | \(0.242117\pi\) | |||||||
\(14\) | −0.0892619 | − | 0.620830i | −0.0238563 | − | 0.165924i | ||||
\(15\) | −0.875565 | − | 1.01046i | −0.226070 | − | 0.260899i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | 4.49223 | − | 2.88698i | 1.08953 | − | 0.700195i | 0.132787 | − | 0.991145i | \(-0.457607\pi\) |
0.956739 | + | 0.290949i | \(0.0939710\pi\) | |||||||
\(18\) | 0.258432 | − | 1.79743i | 0.0609130 | − | 0.423659i | ||||
\(19\) | −0.227916 | − | 0.146473i | −0.0522876 | − | 0.0336032i | 0.514236 | − | 0.857649i | \(-0.328076\pi\) |
−0.566523 | + | 0.824046i | \(0.691712\pi\) | |||||||
\(20\) | 0.804632 | − | 0.928595i | 0.179921 | − | 0.207640i | ||||
\(21\) | 0.654861 | + | 0.192284i | 0.142902 | + | 0.0419599i | ||||
\(22\) | 5.89037 | 1.25583 | ||||||||
\(23\) | −2.50079 | − | 4.09219i | −0.521451 | − | 0.853281i | ||||
\(24\) | −1.08816 | −0.222119 | ||||||||
\(25\) | 3.34890 | + | 0.983325i | 0.669779 | + | 0.196665i | ||||
\(26\) | 1.54019 | − | 1.77748i | 0.302057 | − | 0.348592i | ||||
\(27\) | 4.40856 | + | 2.83321i | 0.848428 | + | 0.545252i | ||||
\(28\) | −0.0892619 | + | 0.620830i | −0.0168689 | + | 0.117326i | ||||
\(29\) | −1.66810 | + | 1.07202i | −0.309758 | + | 0.199070i | −0.686279 | − | 0.727339i | \(-0.740757\pi\) |
0.376520 | + | 0.926408i | \(0.377121\pi\) | |||||||
\(30\) | 0.555420 | + | 1.21620i | 0.101405 | + | 0.222047i | ||||
\(31\) | −4.32439 | − | 4.99061i | −0.776683 | − | 0.896340i | 0.220182 | − | 0.975459i | \(-0.429335\pi\) |
−0.996865 | + | 0.0791185i | \(0.974789\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | −2.66266 | + | 5.83041i | −0.463510 | + | 1.01494i | ||||
\(34\) | −5.12362 | + | 1.50443i | −0.878693 | + | 0.258008i | ||||
\(35\) | 0.739446 | − | 0.217121i | 0.124989 | − | 0.0367001i | ||||
\(36\) | −0.754359 | + | 1.65182i | −0.125727 | + | 0.275303i | ||||
\(37\) | −1.43317 | − | 9.96790i | −0.235611 | − | 1.63871i | −0.673145 | − | 0.739510i | \(-0.735057\pi\) |
0.437534 | − | 0.899202i | \(-0.355852\pi\) | |||||||
\(38\) | 0.177418 | + | 0.204751i | 0.0287810 | + | 0.0332150i | ||||
\(39\) | 1.06316 | + | 2.32800i | 0.170242 | + | 0.372778i | ||||
\(40\) | −1.03365 | + | 0.664289i | −0.163435 | + | 0.105033i | ||||
\(41\) | −1.53880 | + | 10.7026i | −0.240320 | + | 1.67146i | 0.410219 | + | 0.911987i | \(0.365452\pi\) |
−0.650539 | + | 0.759473i | \(0.725457\pi\) | |||||||
\(42\) | −0.574161 | − | 0.368991i | −0.0885950 | − | 0.0569366i | ||||
\(43\) | −3.01056 | + | 3.47437i | −0.459106 | + | 0.529836i | −0.937349 | − | 0.348391i | \(-0.886728\pi\) |
0.478244 | + | 0.878227i | \(0.341274\pi\) | |||||||
\(44\) | −5.65177 | − | 1.65951i | −0.852036 | − | 0.250180i | ||||
\(45\) | 2.23123 | 0.332612 | ||||||||
\(46\) | 1.24659 | + | 4.63098i | 0.183799 | + | 0.682801i | ||||
\(47\) | 6.97259 | 1.01706 | 0.508528 | − | 0.861045i | \(-0.330190\pi\) | ||||
0.508528 | + | 0.861045i | \(0.330190\pi\) | |||||||
\(48\) | 1.04408 | + | 0.306569i | 0.150700 | + | 0.0442494i | ||||
\(49\) | 4.32640 | − | 4.99294i | 0.618058 | − | 0.713277i | ||||
\(50\) | −2.93621 | − | 1.88699i | −0.415243 | − | 0.266860i | ||||
\(51\) | 0.826944 | − | 5.75152i | 0.115795 | − | 0.805374i | ||||
\(52\) | −1.97858 | + | 1.27155i | −0.274379 | + | 0.176333i | ||||
\(53\) | −1.09543 | − | 2.39865i | −0.150468 | − | 0.329480i | 0.819356 | − | 0.573285i | \(-0.194331\pi\) |
−0.969824 | + | 0.243806i | \(0.921604\pi\) | |||||||
\(54\) | −3.43178 | − | 3.96048i | −0.467006 | − | 0.538953i | ||||
\(55\) | 1.03001 | + | 7.16387i | 0.138886 | + | 0.965976i | ||||
\(56\) | 0.260554 | − | 0.570534i | 0.0348180 | − | 0.0762409i | ||||
\(57\) | −0.282866 | + | 0.0830570i | −0.0374666 | + | 0.0110012i | ||||
\(58\) | 1.90255 | − | 0.558640i | 0.249818 | − | 0.0733531i | ||||
\(59\) | 0.685131 | − | 1.50023i | 0.0891965 | − | 0.195313i | −0.859776 | − | 0.510671i | \(-0.829397\pi\) |
0.948973 | + | 0.315358i | \(0.102124\pi\) | |||||||
\(60\) | −0.190279 | − | 1.32342i | −0.0245649 | − | 0.170852i | ||||
\(61\) | −5.98206 | − | 6.90366i | −0.765924 | − | 0.883923i | 0.230086 | − | 0.973170i | \(-0.426099\pi\) |
−0.996010 | + | 0.0892472i | \(0.971554\pi\) | |||||||
\(62\) | 2.74320 | + | 6.00678i | 0.348387 | + | 0.762862i | ||||
\(63\) | −0.958162 | + | 0.615773i | −0.120717 | + | 0.0775801i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 2.43109 | + | 1.56237i | 0.301540 | + | 0.193788i | ||||
\(66\) | 4.19742 | − | 4.84408i | 0.516667 | − | 0.596265i | ||||
\(67\) | 5.94311 | + | 1.74505i | 0.726066 | + | 0.213192i | 0.623821 | − | 0.781567i | \(-0.285579\pi\) |
0.102245 | + | 0.994759i | \(0.467398\pi\) | |||||||
\(68\) | 5.33992 | 0.647561 | ||||||||
\(69\) | −5.14735 | − | 0.859474i | −0.619668 | − | 0.103469i | ||||
\(70\) | −0.770663 | −0.0921118 | ||||||||
\(71\) | 8.69524 | + | 2.55315i | 1.03194 | + | 0.303003i | 0.753497 | − | 0.657451i | \(-0.228365\pi\) |
0.278438 | + | 0.960454i | \(0.410183\pi\) | |||||||
\(72\) | 1.18917 | − | 1.37238i | 0.140145 | − | 0.161736i | ||||
\(73\) | −4.99580 | − | 3.21061i | −0.584714 | − | 0.375773i | 0.214586 | − | 0.976705i | \(-0.431160\pi\) |
−0.799300 | + | 0.600932i | \(0.794796\pi\) | |||||||
\(74\) | −1.43317 | + | 9.96790i | −0.166602 | + | 1.15874i | ||||
\(75\) | 3.19505 | − | 2.05334i | 0.368933 | − | 0.237099i | ||||
\(76\) | −0.112546 | − | 0.246442i | −0.0129099 | − | 0.0282688i | ||||
\(77\) | −2.41940 | − | 2.79213i | −0.275716 | − | 0.318193i | ||||
\(78\) | −0.364223 | − | 2.53323i | −0.0412401 | − | 0.286831i | ||||
\(79\) | −2.49546 | + | 5.46429i | −0.280761 | + | 0.614780i | −0.996501 | − | 0.0835867i | \(-0.973362\pi\) |
0.715740 | + | 0.698367i | \(0.246090\pi\) | |||||||
\(80\) | 1.17894 | − | 0.346167i | 0.131809 | − | 0.0387026i | ||||
\(81\) | 0.244379 | − | 0.0717563i | 0.0271533 | − | 0.00797292i | ||||
\(82\) | 4.49173 | − | 9.83551i | 0.496028 | − | 1.08615i | ||||
\(83\) | 0.277948 | + | 1.93317i | 0.0305087 | + | 0.212193i | 0.999373 | − | 0.0353985i | \(-0.0112701\pi\) |
−0.968865 | + | 0.247591i | \(0.920361\pi\) | |||||||
\(84\) | 0.446947 | + | 0.515804i | 0.0487659 | + | 0.0562789i | ||||
\(85\) | −2.72562 | − | 5.96828i | −0.295635 | − | 0.647351i | ||||
\(86\) | 3.86745 | − | 2.48546i | 0.417038 | − | 0.268014i | ||||
\(87\) | −0.307069 | + | 2.13571i | −0.0329213 | + | 0.228973i | ||||
\(88\) | 4.95529 | + | 3.18457i | 0.528236 | + | 0.339477i | ||||
\(89\) | −3.00611 | + | 3.46923i | −0.318647 | + | 0.367738i | −0.892365 | − | 0.451315i | \(-0.850955\pi\) |
0.573718 | + | 0.819053i | \(0.305501\pi\) | |||||||
\(90\) | −2.14085 | − | 0.628610i | −0.225665 | − | 0.0662613i | ||||
\(91\) | −1.47517 | −0.154640 | ||||||||
\(92\) | 0.108607 | − | 4.79460i | 0.0113231 | − | 0.499872i | ||||
\(93\) | −7.18567 | −0.745119 | ||||||||
\(94\) | −6.69015 | − | 1.96441i | −0.690036 | − | 0.202613i | ||||
\(95\) | −0.217995 | + | 0.251579i | −0.0223658 | + | 0.0258115i | ||||
\(96\) | −0.915415 | − | 0.588302i | −0.0934292 | − | 0.0600433i | ||||
\(97\) | −1.44938 | + | 10.0807i | −0.147163 | + | 1.02354i | 0.773672 | + | 0.633586i | \(0.218418\pi\) |
−0.920835 | + | 0.389953i | \(0.872491\pi\) | |||||||
\(98\) | −5.55783 | + | 3.57180i | −0.561425 | + | 0.360806i | ||||
\(99\) | −4.44345 | − | 9.72980i | −0.446584 | − | 0.977882i | ||||
\(100\) | 2.28565 | + | 2.63778i | 0.228565 | + | 0.263778i | ||||
\(101\) | 2.02588 | + | 14.0903i | 0.201583 | + | 1.40204i | 0.799589 | + | 0.600548i | \(0.205051\pi\) |
−0.598006 | + | 0.801492i | \(0.704040\pi\) | |||||||
\(102\) | −2.41384 | + | 5.28557i | −0.239006 | + | 0.523349i | ||||
\(103\) | 0.723186 | − | 0.212347i | 0.0712576 | − | 0.0209231i | −0.245909 | − | 0.969293i | \(-0.579087\pi\) |
0.317167 | + | 0.948370i | \(0.397268\pi\) | |||||||
\(104\) | 2.25667 | − | 0.662618i | 0.221285 | − | 0.0649750i | ||||
\(105\) | 0.348368 | − | 0.762819i | 0.0339972 | − | 0.0744435i | ||||
\(106\) | 0.375276 | + | 2.61010i | 0.0364500 | + | 0.253516i | ||||
\(107\) | −0.388356 | − | 0.448187i | −0.0375438 | − | 0.0433279i | 0.736667 | − | 0.676256i | \(-0.236398\pi\) |
−0.774211 | + | 0.632928i | \(0.781853\pi\) | |||||||
\(108\) | 2.17697 | + | 4.76690i | 0.209479 | + | 0.458695i | ||||
\(109\) | −5.77288 | + | 3.71001i | −0.552942 | + | 0.355354i | −0.787082 | − | 0.616849i | \(-0.788409\pi\) |
0.234140 | + | 0.972203i | \(0.424773\pi\) | |||||||
\(110\) | 1.03001 | − | 7.16387i | 0.0982075 | − | 0.683048i | ||||
\(111\) | −9.21860 | − | 5.92443i | −0.874990 | − | 0.562322i | ||||
\(112\) | −0.410738 | + | 0.474017i | −0.0388111 | + | 0.0447904i | ||||
\(113\) | 1.19580 | + | 0.351119i | 0.112491 | + | 0.0330305i | 0.337494 | − | 0.941328i | \(-0.390421\pi\) |
−0.225002 | + | 0.974358i | \(0.572239\pi\) | |||||||
\(114\) | 0.294808 | 0.0276113 | ||||||||
\(115\) | −5.41423 | + | 2.32589i | −0.504879 | + | 0.216890i | ||||
\(116\) | −1.98287 | −0.184105 | ||||||||
\(117\) | −4.09792 | − | 1.20326i | −0.378853 | − | 0.111241i | ||||
\(118\) | −1.08004 | + | 1.24643i | −0.0994259 | + | 0.114744i | ||||
\(119\) | 2.81759 | + | 1.81076i | 0.258288 | + | 0.165992i | ||||
\(120\) | −0.190279 | + | 1.32342i | −0.0173700 | + | 0.120811i | ||||
\(121\) | 19.9347 | − | 12.8113i | 1.81225 | − | 1.16466i | ||||
\(122\) | 3.79475 | + | 8.30935i | 0.343561 | + | 0.752294i | ||||
\(123\) | 7.70497 | + | 8.89201i | 0.694734 | + | 0.801766i | ||||
\(124\) | −0.939780 | − | 6.53631i | −0.0843947 | − | 0.586978i | ||||
\(125\) | 4.33364 | − | 9.48934i | 0.387612 | − | 0.848753i | ||||
\(126\) | 1.09283 | − | 0.320885i | 0.0973573 | − | 0.0285867i | ||||
\(127\) | 6.89460 | − | 2.02444i | 0.611796 | − | 0.179640i | 0.0388671 | − | 0.999244i | \(-0.487625\pi\) |
0.572929 | + | 0.819605i | \(0.305807\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | 0.711933 | + | 4.95160i | 0.0626822 | + | 0.435964i | ||||
\(130\) | −1.89245 | − | 2.18400i | −0.165978 | − | 0.191549i | ||||
\(131\) | −0.273443 | − | 0.598756i | −0.0238908 | − | 0.0523136i | 0.897310 | − | 0.441400i | \(-0.145518\pi\) |
−0.921201 | + | 0.389086i | \(0.872791\pi\) | |||||||
\(132\) | −5.39213 | + | 3.46531i | −0.469325 | + | 0.301617i | ||||
\(133\) | 0.0241832 | − | 0.168198i | 0.00209695 | − | 0.0145846i | ||||
\(134\) | −5.21073 | − | 3.34873i | −0.450138 | − | 0.289286i | ||||
\(135\) | 4.21665 | − | 4.86627i | 0.362911 | − | 0.418822i | ||||
\(136\) | −5.12362 | − | 1.50443i | −0.439347 | − | 0.129004i | ||||
\(137\) | −12.5241 | −1.07001 | −0.535003 | − | 0.844850i | \(-0.679689\pi\) | ||||
−0.535003 | + | 0.844850i | \(0.679689\pi\) | |||||||
\(138\) | 4.69671 | + | 2.27484i | 0.399810 | + | 0.193647i | ||||
\(139\) | 17.0602 | 1.44703 | 0.723515 | − | 0.690309i | \(-0.242525\pi\) | ||||
0.723515 | + | 0.690309i | \(0.242525\pi\) | |||||||
\(140\) | 0.739446 | + | 0.217121i | 0.0624946 | + | 0.0183501i | ||||
\(141\) | 4.96860 | − | 5.73407i | 0.418432 | − | 0.482896i | ||||
\(142\) | −7.62372 | − | 4.89946i | −0.639768 | − | 0.411154i | ||||
\(143\) | 1.97160 | − | 13.7128i | 0.164873 | − | 1.14672i | ||||
\(144\) | −1.52765 | + | 0.981759i | −0.127304 | + | 0.0818132i | ||||
\(145\) | 1.01211 | + | 2.21620i | 0.0840508 | + | 0.184046i | ||||
\(146\) | 3.88890 | + | 4.48803i | 0.321848 | + | 0.371432i | ||||
\(147\) | −1.02310 | − | 7.11584i | −0.0843841 | − | 0.586905i | ||||
\(148\) | 4.18340 | − | 9.16036i | 0.343873 | − | 0.752977i | ||||
\(149\) | 17.6680 | − | 5.18781i | 1.44742 | − | 0.425002i | 0.538734 | − | 0.842476i | \(-0.318903\pi\) |
0.908689 | + | 0.417474i | \(0.137085\pi\) | |||||||
\(150\) | −3.64412 | + | 1.07001i | −0.297541 | + | 0.0873660i | ||||
\(151\) | −4.77740 | + | 10.4611i | −0.388780 | + | 0.851309i | 0.609506 | + | 0.792781i | \(0.291368\pi\) |
−0.998286 | + | 0.0585274i | \(0.981360\pi\) | |||||||
\(152\) | 0.0385566 | + | 0.268167i | 0.00312735 | + | 0.0217512i | ||||
\(153\) | 6.35009 | + | 7.32839i | 0.513374 | + | 0.592465i | ||||
\(154\) | 1.53476 | + | 3.36066i | 0.123675 | + | 0.270809i | ||||
\(155\) | −6.82576 | + | 4.38665i | −0.548259 | + | 0.352344i | ||||
\(156\) | −0.364223 | + | 2.53323i | −0.0291612 | + | 0.202820i | ||||
\(157\) | 2.71568 | + | 1.74526i | 0.216735 | + | 0.139287i | 0.644504 | − | 0.764601i | \(-0.277064\pi\) |
−0.427769 | + | 0.903888i | \(0.640700\pi\) | |||||||
\(158\) | 3.93384 | − | 4.53989i | 0.312960 | − | 0.361175i | ||||
\(159\) | −2.75317 | − | 0.808405i | −0.218341 | − | 0.0641107i | ||||
\(160\) | −1.22871 | −0.0971379 | ||||||||
\(161\) | 1.68314 | − | 2.49303i | 0.132650 | − | 0.196478i | ||||
\(162\) | −0.254696 | −0.0200108 | ||||||||
\(163\) | −10.6155 | − | 3.11700i | −0.831473 | − | 0.244143i | −0.161824 | − | 0.986820i | \(-0.551738\pi\) |
−0.669650 | + | 0.742677i | \(0.733556\pi\) | |||||||
\(164\) | −7.08076 | + | 8.17164i | −0.552915 | + | 0.638098i | ||||
\(165\) | 6.62535 | + | 4.25785i | 0.515783 | + | 0.331474i | ||||
\(166\) | 0.277948 | − | 1.93317i | 0.0215729 | − | 0.150043i | ||||
\(167\) | −18.4501 | + | 11.8572i | −1.42771 | + | 0.917536i | −0.427807 | + | 0.903870i | \(0.640714\pi\) |
−0.999907 | + | 0.0136652i | \(0.995650\pi\) | |||||||
\(168\) | −0.283524 | − | 0.620830i | −0.0218743 | − | 0.0478981i | ||||
\(169\) | 4.89075 | + | 5.64423i | 0.376212 | + | 0.434171i | ||||
\(170\) | 0.933756 | + | 6.49442i | 0.0716158 | + | 0.498099i | ||||
\(171\) | 0.204374 | − | 0.447517i | 0.0156289 | − | 0.0342225i | ||||
\(172\) | −4.41103 | + | 1.29519i | −0.336338 | + | 0.0987577i | ||||
\(173\) | −10.6459 | + | 3.12591i | −0.809391 | + | 0.237659i | −0.660142 | − | 0.751141i | \(-0.729504\pi\) |
−0.149249 | + | 0.988800i | \(0.547686\pi\) | |||||||
\(174\) | 0.896331 | − | 1.96269i | 0.0679507 | − | 0.148791i | ||||
\(175\) | 0.311549 | + | 2.16687i | 0.0235509 | + | 0.163800i | ||||
\(176\) | −3.85737 | − | 4.45164i | −0.290760 | − | 0.335555i | ||||
\(177\) | −0.745530 | − | 1.63248i | −0.0560374 | − | 0.122705i | ||||
\(178\) | 3.86173 | − | 2.48178i | 0.289449 | − | 0.186018i | ||||
\(179\) | 2.49587 | − | 17.3592i | 0.186550 | − | 1.29749i | −0.654307 | − | 0.756229i | \(-0.727039\pi\) |
0.840857 | − | 0.541257i | \(-0.182051\pi\) | |||||||
\(180\) | 1.87703 | + | 1.20629i | 0.139906 | + | 0.0899119i | ||||
\(181\) | −13.3631 | + | 15.4218i | −0.993269 | + | 1.14629i | −0.00402916 | + | 0.999992i | \(0.501283\pi\) |
−0.989240 | + | 0.146302i | \(0.953263\pi\) | |||||||
\(182\) | 1.41542 | + | 0.415603i | 0.104918 | + | 0.0308066i | ||||
\(183\) | −9.94014 | −0.734797 | ||||||||
\(184\) | −1.45500 | + | 4.56979i | −0.107264 | + | 0.336889i | ||||
\(185\) | −12.3736 | −0.909723 | ||||||||
\(186\) | 6.89460 | + | 2.02444i | 0.505536 | + | 0.148439i | ||||
\(187\) | −20.5981 | + | 23.7714i | −1.50628 | + | 1.73834i | ||||
\(188\) | 5.86572 | + | 3.76967i | 0.427801 | + | 0.274931i | ||||
\(189\) | −0.467774 | + | 3.25344i | −0.0340256 | + | 0.236653i | ||||
\(190\) | 0.280042 | − | 0.179972i | 0.0203164 | − | 0.0130566i | ||||
\(191\) | −3.93085 | − | 8.60736i | −0.284426 | − | 0.622807i | 0.712455 | − | 0.701718i | \(-0.247583\pi\) |
−0.996882 | + | 0.0789105i | \(0.974856\pi\) | |||||||
\(192\) | 0.712591 | + | 0.822373i | 0.0514268 | + | 0.0593497i | ||||
\(193\) | −3.63769 | − | 25.3007i | −0.261847 | − | 1.82118i | −0.518955 | − | 0.854801i | \(-0.673679\pi\) |
0.257108 | − | 0.966383i | \(-0.417230\pi\) | |||||||
\(194\) | 4.23073 | − | 9.26401i | 0.303749 | − | 0.665117i | ||||
\(195\) | 3.01722 | − | 0.885937i | 0.216068 | − | 0.0634432i | ||||
\(196\) | 6.33899 | − | 1.86129i | 0.452785 | − | 0.132950i | ||||
\(197\) | 2.18904 | − | 4.79334i | 0.155963 | − | 0.341511i | −0.815480 | − | 0.578786i | \(-0.803527\pi\) |
0.971443 | + | 0.237274i | \(0.0762540\pi\) | |||||||
\(198\) | 1.52226 | + | 10.5875i | 0.108182 | + | 0.752424i | ||||
\(199\) | 16.3820 | + | 18.9058i | 1.16129 | + | 1.34020i | 0.930108 | + | 0.367285i | \(0.119713\pi\) |
0.231178 | + | 0.972911i | \(0.425742\pi\) | |||||||
\(200\) | −1.44991 | − | 3.17487i | −0.102524 | − | 0.224497i | ||||
\(201\) | 5.67009 | − | 3.64394i | 0.399937 | − | 0.257024i | ||||
\(202\) | 2.02588 | − | 14.0903i | 0.142541 | − | 0.991392i | ||||
\(203\) | −1.04626 | − | 0.672388i | −0.0734328 | − | 0.0471924i | ||||
\(204\) | 3.80518 | − | 4.39141i | 0.266416 | − | 0.307460i | ||||
\(205\) | 12.7474 | + | 3.74297i | 0.890317 | + | 0.261421i | ||||
\(206\) | −0.753717 | −0.0525139 | ||||||||
\(207\) | 6.70916 | − | 5.55256i | 0.466319 | − | 0.385929i | ||||
\(208\) | −2.35194 | −0.163078 | ||||||||
\(209\) | 1.53120 | + | 0.449602i | 0.105915 | + | 0.0310996i | ||||
\(210\) | −0.549167 | + | 0.633773i | −0.0378961 | + | 0.0437345i | ||||
\(211\) | −7.45882 | − | 4.79349i | −0.513487 | − | 0.329998i | 0.258104 | − | 0.966117i | \(-0.416902\pi\) |
−0.771591 | + | 0.636119i | \(0.780539\pi\) | |||||||
\(212\) | 0.375276 | − | 2.61010i | 0.0257741 | − | 0.179263i | ||||
\(213\) | 8.29579 | − | 5.33138i | 0.568418 | − | 0.365300i | ||||
\(214\) | 0.246356 | + | 0.539445i | 0.0168406 | + | 0.0368757i | ||||
\(215\) | 3.69909 | + | 4.26898i | 0.252276 | + | 0.291142i | ||||
\(216\) | −0.745796 | − | 5.18713i | −0.0507450 | − | 0.352939i | ||||
\(217\) | 1.72058 | − | 3.76754i | 0.116800 | − | 0.255757i | ||||
\(218\) | 6.58427 | − | 1.93332i | 0.445943 | − | 0.130941i | ||||
\(219\) | −6.20028 | + | 1.82057i | −0.418976 | + | 0.123022i | ||||
\(220\) | −3.00658 | + | 6.58350i | −0.202704 | + | 0.443859i | ||||
\(221\) | 1.78736 | + | 12.4313i | 0.120231 | + | 0.836222i | ||||
\(222\) | 7.17607 | + | 8.28163i | 0.481626 | + | 0.555827i | ||||
\(223\) | −7.05499 | − | 15.4483i | −0.472437 | − | 1.03449i | −0.984474 | − | 0.175530i | \(-0.943836\pi\) |
0.512037 | − | 0.858963i | \(-0.328891\pi\) | |||||||
\(224\) | 0.527646 | − | 0.339098i | 0.0352549 | − | 0.0226569i | ||||
\(225\) | −0.901999 | + | 6.27354i | −0.0601333 | + | 0.418236i | ||||
\(226\) | −1.04844 | − | 0.673792i | −0.0697412 | − | 0.0448199i | ||||
\(227\) | 11.7844 | − | 13.5999i | 0.782155 | − | 0.902655i | −0.215108 | − | 0.976590i | \(-0.569010\pi\) |
0.997263 | + | 0.0739349i | \(0.0235557\pi\) | |||||||
\(228\) | −0.282866 | − | 0.0830570i | −0.0187333 | − | 0.00550059i | ||||
\(229\) | 7.49653 | 0.495385 | 0.247692 | − | 0.968839i | \(-0.420328\pi\) | ||||
0.247692 | + | 0.968839i | \(0.420328\pi\) | |||||||
\(230\) | 5.85019 | − | 0.706312i | 0.385750 | − | 0.0465728i | ||||
\(231\) | −4.02022 | −0.264511 | ||||||||
\(232\) | 1.90255 | + | 0.558640i | 0.124909 | + | 0.0366765i | ||||
\(233\) | −3.61684 | + | 4.17406i | −0.236947 | + | 0.273452i | −0.861753 | − | 0.507329i | \(-0.830633\pi\) |
0.624805 | + | 0.780781i | \(0.285178\pi\) | |||||||
\(234\) | 3.59293 | + | 2.30904i | 0.234877 | + | 0.150946i | ||||
\(235\) | 1.21925 | − | 8.48007i | 0.0795351 | − | 0.553179i | ||||
\(236\) | 1.38745 | − | 0.891662i | 0.0903156 | − | 0.0580423i | ||||
\(237\) | 2.71545 | + | 5.94600i | 0.176387 | + | 0.386234i | ||||
\(238\) | −2.19331 | − | 2.53121i | −0.142171 | − | 0.164074i | ||||
\(239\) | −0.742743 | − | 5.16589i | −0.0480440 | − | 0.334153i | −0.999641 | − | 0.0268040i | \(-0.991467\pi\) |
0.951597 | − | 0.307350i | \(-0.0994421\pi\) | |||||||
\(240\) | 0.555420 | − | 1.21620i | 0.0358522 | − | 0.0785054i | ||||
\(241\) | 1.49095 | − | 0.437783i | 0.0960407 | − | 0.0282001i | −0.233359 | − | 0.972391i | \(-0.574972\pi\) |
0.329400 | + | 0.944191i | \(0.393154\pi\) | |||||||
\(242\) | −22.7366 | + | 6.67606i | −1.46156 | + | 0.429153i | ||||
\(243\) | −6.41578 | + | 14.0486i | −0.411572 | + | 0.901217i | ||||
\(244\) | −1.30003 | − | 9.04187i | −0.0832256 | − | 0.578847i | ||||
\(245\) | −5.31589 | − | 6.13486i | −0.339619 | − | 0.391942i | ||||
\(246\) | −4.88770 | − | 10.7026i | −0.311628 | − | 0.682371i | ||||
\(247\) | 0.536045 | − | 0.344495i | 0.0341077 | − | 0.0219197i | ||||
\(248\) | −0.939780 | + | 6.53631i | −0.0596761 | + | 0.415056i | ||||
\(249\) | 1.78785 | + | 1.14898i | 0.113300 | + | 0.0728137i | ||||
\(250\) | −6.83155 | + | 7.88403i | −0.432065 | + | 0.498630i | ||||
\(251\) | 8.56499 | + | 2.51491i | 0.540617 | + | 0.158740i | 0.540630 | − | 0.841260i | \(-0.318186\pi\) |
−1.28787e−5 | 1.00000i | \(0.500004\pi\) | ||||||||
\(252\) | −1.13897 | −0.0717483 | ||||||||
\(253\) | 20.9249 | + | 18.9780i | 1.31554 | + | 1.19314i | ||||
\(254\) | −7.18567 | −0.450869 | ||||||||
\(255\) | −6.85041 | − | 2.01146i | −0.428989 | − | 0.125963i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −3.06431 | − | 1.96932i | −0.191147 | − | 0.122843i | 0.441567 | − | 0.897228i | \(-0.354423\pi\) |
−0.632714 | + | 0.774386i | \(0.718059\pi\) | |||||||
\(258\) | 0.711933 | − | 4.95160i | 0.0443230 | − | 0.308273i | ||||
\(259\) | 5.31361 | − | 3.41485i | 0.330172 | − | 0.212188i | ||||
\(260\) | 1.20048 | + | 2.62869i | 0.0744509 | + | 0.163025i | ||||
\(261\) | −2.35798 | − | 2.72125i | −0.145955 | − | 0.168441i | ||||
\(262\) | 0.0936773 | + | 0.651540i | 0.00578740 | + | 0.0402523i | ||||
\(263\) | 6.70351 | − | 14.6786i | 0.413356 | − | 0.905124i | −0.582384 | − | 0.812914i | \(-0.697880\pi\) |
0.995740 | − | 0.0922095i | \(-0.0293929\pi\) | |||||||
\(264\) | 6.15000 | − | 1.80580i | 0.378507 | − | 0.111140i | ||||
\(265\) | −3.10879 | + | 0.912822i | −0.190971 | + | 0.0560742i | ||||
\(266\) | −0.0705905 | + | 0.154572i | −0.00432818 | + | 0.00947740i | ||||
\(267\) | 0.710880 | + | 4.94428i | 0.0435052 | + | 0.302585i | ||||
\(268\) | 4.05621 | + | 4.68112i | 0.247773 | + | 0.285945i | ||||
\(269\) | −1.86684 | − | 4.08782i | −0.113823 | − | 0.249239i | 0.844143 | − | 0.536117i | \(-0.180110\pi\) |
−0.957967 | + | 0.286879i | \(0.907382\pi\) | |||||||
\(270\) | −5.41683 | + | 3.48119i | −0.329658 | + | 0.211858i | ||||
\(271\) | 0.498456 | − | 3.46684i | 0.0302791 | − | 0.210595i | −0.969065 | − | 0.246805i | \(-0.920619\pi\) |
0.999344 | + | 0.0362095i | \(0.0115284\pi\) | |||||||
\(272\) | 4.49223 | + | 2.88698i | 0.272381 | + | 0.175049i | ||||
\(273\) | −1.05119 | + | 1.21314i | −0.0636210 | + | 0.0734226i | ||||
\(274\) | 12.0168 | + | 3.52845i | 0.725960 | + | 0.213161i | ||||
\(275\) | −20.5590 | −1.23976 | ||||||||
\(276\) | −3.86556 | − | 3.50590i | −0.232679 | − | 0.211031i | ||||
\(277\) | −12.0692 | −0.725166 | −0.362583 | − | 0.931951i | \(-0.618105\pi\) | ||||
−0.362583 | + | 0.931951i | \(0.618105\pi\) | |||||||
\(278\) | −16.3692 | − | 4.80642i | −0.981758 | − | 0.288270i | ||||
\(279\) | 7.85273 | − | 9.06254i | 0.470131 | − | 0.542560i | ||||
\(280\) | −0.648323 | − | 0.416652i | −0.0387447 | − | 0.0248997i | ||||
\(281\) | 0.891748 | − | 6.20224i | 0.0531972 | − | 0.369995i | −0.945781 | − | 0.324804i | \(-0.894702\pi\) |
0.998978 | − | 0.0451902i | \(-0.0143894\pi\) | |||||||
\(282\) | −6.38281 | + | 4.10199i | −0.380091 | + | 0.244270i | ||||
\(283\) | 13.1398 | + | 28.7722i | 0.781080 | + | 1.71033i | 0.700581 | + | 0.713573i | \(0.252924\pi\) |
0.0804995 | + | 0.996755i | \(0.474348\pi\) | |||||||
\(284\) | 5.93456 | + | 6.84885i | 0.352152 | + | 0.406405i | ||||
\(285\) | 0.0515511 | + | 0.358546i | 0.00305362 | + | 0.0212384i | ||||
\(286\) | −5.75507 | + | 12.6018i | −0.340304 | + | 0.745163i | ||||
\(287\) | −6.50712 | + | 1.91066i | −0.384103 | + | 0.112783i | ||||
\(288\) | 1.74236 | − | 0.511603i | 0.102670 | − | 0.0301465i | ||||
\(289\) | 4.78341 | − | 10.4742i | 0.281377 | − | 0.616130i | ||||
\(290\) | −0.346732 | − | 2.41157i | −0.0203608 | − | 0.141613i | ||||
\(291\) | 7.25727 | + | 8.37534i | 0.425429 | + | 0.490971i | ||||
\(292\) | −2.46695 | − | 5.40187i | −0.144367 | − | 0.316120i | ||||
\(293\) | 5.70182 | − | 3.66434i | 0.333104 | − | 0.214073i | −0.363387 | − | 0.931638i | \(-0.618380\pi\) |
0.696491 | + | 0.717565i | \(0.254744\pi\) | |||||||
\(294\) | −1.02310 | + | 7.11584i | −0.0596686 | + | 0.415004i | ||||
\(295\) | −1.70477 | − | 1.09559i | −0.0992558 | − | 0.0637878i | ||||
\(296\) | −6.59471 | + | 7.61070i | −0.383310 | + | 0.442363i | ||||
\(297\) | −29.6179 | − | 8.69660i | −1.71860 | − | 0.504628i | ||||
\(298\) | −18.4139 | −1.06669 | ||||||||
\(299\) | 11.1982 | − | 1.35199i | 0.647608 | − | 0.0781877i | ||||
\(300\) | 3.79797 | 0.219276 | ||||||||
\(301\) | −2.76666 | − | 0.812365i | −0.159468 | − | 0.0468239i | ||||
\(302\) | 7.53111 | − | 8.69136i | 0.433366 | − | 0.500132i | ||||
\(303\) | 13.0311 | + | 8.37460i | 0.748619 | + | 0.481108i | ||||
\(304\) | 0.0385566 | − | 0.268167i | 0.00221137 | − | 0.0153804i | ||||
\(305\) | −9.44228 | + | 6.06819i | −0.540663 | + | 0.347463i | ||||
\(306\) | −4.02822 | − | 8.82057i | −0.230278 | − | 0.504238i | ||||
\(307\) | 3.97728 | + | 4.59002i | 0.226995 | + | 0.261966i | 0.857810 | − | 0.513967i | \(-0.171825\pi\) |
−0.630815 | + | 0.775933i | \(0.717279\pi\) | |||||||
\(308\) | −0.525785 | − | 3.65692i | −0.0299594 | − | 0.208372i | ||||
\(309\) | 0.340707 | − | 0.746045i | 0.0193822 | − | 0.0424410i | ||||
\(310\) | 7.78514 | − | 2.28592i | 0.442166 | − | 0.129832i | ||||
\(311\) | −9.81498 | + | 2.88194i | −0.556556 | + | 0.163420i | −0.547901 | − | 0.836543i | \(-0.684573\pi\) |
−0.00865482 | + | 0.999963i | \(0.502755\pi\) | |||||||
\(312\) | 1.06316 | − | 2.32800i | 0.0601897 | − | 0.131797i | ||||
\(313\) | −0.572129 | − | 3.97924i | −0.0323386 | − | 0.224920i | 0.967243 | − | 0.253853i | \(-0.0816981\pi\) |
−0.999581 | + | 0.0289333i | \(0.990789\pi\) | |||||||
\(314\) | −2.11398 | − | 2.43966i | −0.119299 | − | 0.137678i | ||||
\(315\) | 0.581357 | + | 1.27299i | 0.0327557 | + | 0.0717251i | ||||
\(316\) | −5.05353 | + | 3.24771i | −0.284283 | + | 0.182698i | ||||
\(317\) | −0.710583 | + | 4.94221i | −0.0399103 | + | 0.277582i | −0.999998 | − | 0.00211768i | \(-0.999326\pi\) |
0.960087 | + | 0.279700i | \(0.0902350\pi\) | |||||||
\(318\) | 2.41390 | + | 1.55132i | 0.135365 | + | 0.0869936i | ||||
\(319\) | 7.64868 | − | 8.82705i | 0.428244 | − | 0.494220i | ||||
\(320\) | 1.17894 | + | 0.346167i | 0.0659045 | + | 0.0193513i | ||||
\(321\) | −0.645316 | −0.0360180 | ||||||||
\(322\) | −2.31733 | + | 1.91784i | −0.129140 | + | 0.106877i | ||||
\(323\) | −1.44672 | −0.0804974 | ||||||||
\(324\) | 0.244379 | + | 0.0717563i | 0.0135766 | + | 0.00398646i | ||||
\(325\) | −5.37570 | + | 6.20389i | −0.298190 | + | 0.344130i | ||||
\(326\) | 9.30738 | + | 5.98149i | 0.515488 | + | 0.331284i | ||||
\(327\) | −1.06269 | + | 7.39118i | −0.0587670 | + | 0.408733i | ||||
\(328\) | 9.09616 | − | 5.84575i | 0.502251 | − | 0.322777i | ||||
\(329\) | 1.81674 | + | 3.97810i | 0.100160 | + | 0.219320i | ||||
\(330\) | −5.15740 | − | 5.95196i | −0.283906 | − | 0.327645i | ||||
\(331\) | −0.698720 | − | 4.85970i | −0.0384051 | − | 0.267113i | 0.961567 | − | 0.274570i | \(-0.0885355\pi\) |
−0.999972 | + | 0.00745672i | \(0.997626\pi\) | |||||||
\(332\) | −0.811325 | + | 1.77655i | −0.0445273 | + | 0.0975011i | ||||
\(333\) | 17.5463 | − | 5.15205i | 0.961529 | − | 0.282330i | ||||
\(334\) | 21.0433 | − | 6.17887i | 1.15144 | − | 0.338093i | ||||
\(335\) | 3.16157 | − | 6.92286i | 0.172735 | − | 0.378237i | ||||
\(336\) | 0.0971309 | + | 0.675560i | 0.00529892 | + | 0.0368548i | ||||
\(337\) | −19.4055 | − | 22.3951i | −1.05708 | − | 1.21994i | −0.974742 | − | 0.223334i | \(-0.928306\pi\) |
−0.0823405 | − | 0.996604i | \(-0.526239\pi\) | |||||||
\(338\) | −3.10248 | − | 6.79348i | −0.168753 | − | 0.369517i | ||||
\(339\) | 1.14087 | − | 0.733190i | 0.0619634 | − | 0.0398214i | ||||
\(340\) | 0.933756 | − | 6.49442i | 0.0506401 | − | 0.352209i | ||||
\(341\) | 32.7224 | + | 21.0294i | 1.77202 | + | 1.13881i | ||||
\(342\) | −0.322176 | + | 0.371811i | −0.0174213 | + | 0.0201052i | ||||
\(343\) | 8.18856 | + | 2.40438i | 0.442141 | + | 0.129824i | ||||
\(344\) | 4.59725 | 0.247867 | ||||||||
\(345\) | −1.94538 | + | 6.10992i | −0.104736 | + | 0.328947i | ||||
\(346\) | 11.0953 | 0.596488 | ||||||||
\(347\) | 12.3371 | + | 3.62249i | 0.662288 | + | 0.194465i | 0.595566 | − | 0.803306i | \(-0.296928\pi\) |
0.0667221 | + | 0.997772i | \(0.478746\pi\) | |||||||
\(348\) | −1.41298 | + | 1.63066i | −0.0757436 | + | 0.0874127i | ||||
\(349\) | −19.8005 | − | 12.7250i | −1.05990 | − | 0.681156i | −0.110070 | − | 0.993924i | \(-0.535107\pi\) |
−0.949830 | + | 0.312768i | \(0.898744\pi\) | |||||||
\(350\) | 0.311549 | − | 2.16687i | 0.0166530 | − | 0.115824i | ||||
\(351\) | −10.3687 | + | 6.66354i | −0.553439 | + | 0.355673i | ||||
\(352\) | 2.44695 | + | 5.35807i | 0.130423 | + | 0.285586i | ||||
\(353\) | −5.44378 | − | 6.28246i | −0.289743 | − | 0.334382i | 0.592153 | − | 0.805826i | \(-0.298278\pi\) |
−0.881896 | + | 0.471444i | \(0.843733\pi\) | |||||||
\(354\) | 0.255407 | + | 1.77640i | 0.0135747 | + | 0.0944144i | ||||
\(355\) | 4.62563 | − | 10.1287i | 0.245503 | − | 0.537576i | ||||
\(356\) | −4.40450 | + | 1.29328i | −0.233438 | + | 0.0685437i | ||||
\(357\) | 3.49691 | − | 1.02678i | 0.185076 | − | 0.0543432i | ||||
\(358\) | −7.28542 | + | 15.9528i | −0.385046 | + | 0.843134i | ||||
\(359\) | 2.75167 | + | 19.1383i | 0.145228 | + | 1.01008i | 0.923896 | + | 0.382645i | \(0.124987\pi\) |
−0.778668 | + | 0.627436i | \(0.784104\pi\) | |||||||
\(360\) | −1.46115 | − | 1.68625i | −0.0770091 | − | 0.0888732i | ||||
\(361\) | −7.86239 | − | 17.2162i | −0.413810 | − | 0.906118i | ||||
\(362\) | 17.1666 | − | 11.0323i | 0.902256 | − | 0.579845i | ||||
\(363\) | 3.66965 | − | 25.5230i | 0.192606 | − | 1.33961i | ||||
\(364\) | −1.24099 | − | 0.797537i | −0.0650456 | − | 0.0418023i | ||||
\(365\) | −4.77832 | + | 5.51448i | −0.250109 | + | 0.288641i | ||||
\(366\) | 9.53750 | + | 2.80046i | 0.498533 | + | 0.146383i | ||||
\(367\) | 30.4419 | 1.58906 | 0.794528 | − | 0.607228i | \(-0.207718\pi\) | ||||
0.794528 | + | 0.607228i | \(0.207718\pi\) | |||||||
\(368\) | 2.68352 | − | 3.97476i | 0.139888 | − | 0.207199i | ||||
\(369\) | −19.6348 | −1.02215 | ||||||||
\(370\) | 11.8724 | + | 3.48604i | 0.617215 | + | 0.181231i | ||||
\(371\) | 1.08309 | − | 1.24996i | 0.0562314 | − | 0.0648945i | ||||
\(372\) | −6.04497 | − | 3.88486i | −0.313417 | − | 0.201421i | ||||
\(373\) | −2.74614 | + | 19.0998i | −0.142190 | + | 0.988951i | 0.786367 | + | 0.617760i | \(0.211960\pi\) |
−0.928557 | + | 0.371191i | \(0.878949\pi\) | |||||||
\(374\) | 26.4609 | − | 17.0054i | 1.36826 | − | 0.879327i | ||||
\(375\) | −4.71567 | − | 10.3259i | −0.243516 | − | 0.533226i | ||||
\(376\) | −4.56608 | − | 5.26953i | −0.235477 | − | 0.271755i | ||||
\(377\) | −0.663699 | − | 4.61613i | −0.0341823 | − | 0.237743i | ||||
\(378\) | 1.36543 | − | 2.98987i | 0.0702300 | − | 0.153782i | ||||
\(379\) | −31.0238 | + | 9.10940i | −1.59358 | + | 0.467918i | −0.953751 | − | 0.300596i | \(-0.902814\pi\) |
−0.639832 | + | 0.768515i | \(0.720996\pi\) | |||||||
\(380\) | −0.319403 | + | 0.0937851i | −0.0163850 | + | 0.00481107i | ||||
\(381\) | 3.24818 | − | 7.11253i | 0.166409 | − | 0.364386i | ||||
\(382\) | 1.34665 | + | 9.36615i | 0.0689006 | + | 0.479214i | ||||
\(383\) | 4.70842 | + | 5.43380i | 0.240589 | + | 0.277654i | 0.863184 | − | 0.504890i | \(-0.168467\pi\) |
−0.622595 | + | 0.782544i | \(0.713922\pi\) | |||||||
\(384\) | −0.452036 | − | 0.989821i | −0.0230679 | − | 0.0505116i | ||||
\(385\) | −3.81886 | + | 2.45423i | −0.194627 | + | 0.125079i | ||||
\(386\) | −3.63769 | + | 25.3007i | −0.185154 | + | 1.28777i | ||||
\(387\) | −7.02297 | − | 4.51339i | −0.356998 | − | 0.229428i | ||||
\(388\) | −6.66933 | + | 7.69682i | −0.338584 | + | 0.390747i | ||||
\(389\) | −25.2205 | − | 7.40541i | −1.27873 | − | 0.375469i | −0.429296 | − | 0.903164i | \(-0.641238\pi\) |
−0.849434 | + | 0.527695i | \(0.823056\pi\) | |||||||
\(390\) | −3.14460 | −0.159233 | ||||||||
\(391\) | −23.0482 | − | 11.1633i | −1.16560 | − | 0.564554i | ||||
\(392\) | −6.60660 | −0.333684 | ||||||||
\(393\) | −0.687254 | − | 0.201796i | −0.0346674 | − | 0.0101793i | ||||
\(394\) | −3.45081 | + | 3.98245i | −0.173849 | + | 0.200633i | ||||
\(395\) | 6.20931 | + | 3.99048i | 0.312424 | + | 0.200783i | ||||
\(396\) | 1.52226 | − | 10.5875i | 0.0764964 | − | 0.532044i | ||||
\(397\) | −7.79986 | + | 5.01267i | −0.391464 | + | 0.251579i | −0.721536 | − | 0.692377i | \(-0.756563\pi\) |
0.330072 | + | 0.943956i | \(0.392927\pi\) | |||||||
\(398\) | −10.3920 | − | 22.7553i | −0.520904 | − | 1.14062i | ||||
\(399\) | −0.121089 | − | 0.139744i | −0.00606203 | − | 0.00699595i | ||||
\(400\) | 0.496718 | + | 3.45475i | 0.0248359 | + | 0.172738i | ||||
\(401\) | −11.6450 | + | 25.4989i | −0.581522 | + | 1.27336i | 0.358910 | + | 0.933372i | \(0.383149\pi\) |
−0.940432 | + | 0.339983i | \(0.889579\pi\) | |||||||
\(402\) | −6.46703 | + | 1.89889i | −0.322546 | + | 0.0947080i | ||||
\(403\) | 14.9020 | − | 4.37561i | 0.742320 | − | 0.217965i | ||||
\(404\) | −5.91352 | + | 12.9488i | −0.294209 | + | 0.644227i | ||||
\(405\) | −0.0445371 | − | 0.309762i | −0.00221306 | − | 0.0153922i | ||||
\(406\) | 0.814442 | + | 0.939916i | 0.0404201 | + | 0.0466473i | ||||
\(407\) | 24.6417 | + | 53.9579i | 1.22145 | + | 2.67459i | ||||
\(408\) | −4.88825 | + | 3.14148i | −0.242004 | + | 0.155527i | ||||
\(409\) | −0.00630601 | + | 0.0438593i | −0.000311812 | + | 0.00216870i | −0.989977 | − | 0.141230i | \(-0.954894\pi\) |
0.989665 | + | 0.143399i | \(0.0458033\pi\) | |||||||
\(410\) | −11.1765 | − | 7.18271i | −0.551969 | − | 0.354729i | ||||
\(411\) | −8.92455 | + | 10.2995i | −0.440216 | + | 0.508036i | ||||
\(412\) | 0.723186 | + | 0.212347i | 0.0356288 | + | 0.0104616i | ||||
\(413\) | 1.03445 | 0.0509017 | ||||||||
\(414\) | −8.00173 | + | 3.43745i | −0.393263 | + | 0.168942i | ||||
\(415\) | 2.39972 | 0.117798 | ||||||||
\(416\) | 2.25667 | + | 0.662618i | 0.110642 | + | 0.0324875i | ||||
\(417\) | 12.1570 | − | 14.0299i | 0.595329 | − | 0.687046i | ||||
\(418\) | −1.34251 | − | 0.862779i | −0.0656643 | − | 0.0421999i | ||||
\(419\) | −1.75577 | + | 12.2117i | −0.0857752 | + | 0.596579i | 0.900918 | + | 0.433989i | \(0.142894\pi\) |
−0.986694 | + | 0.162591i | \(0.948015\pi\) | |||||||
\(420\) | 0.705476 | − | 0.453382i | 0.0344237 | − | 0.0221228i | ||||
\(421\) | 1.15963 | + | 2.53923i | 0.0565167 | + | 0.123754i | 0.935783 | − | 0.352576i | \(-0.114694\pi\) |
−0.879267 | + | 0.476330i | \(0.841967\pi\) | |||||||
\(422\) | 5.80620 | + | 6.70072i | 0.282642 | + | 0.326186i | ||||
\(423\) | 1.80194 | + | 12.5328i | 0.0876133 | + | 0.609364i | ||||
\(424\) | −1.09543 | + | 2.39865i | −0.0531986 | + | 0.116489i | ||||
\(425\) | 17.8829 | − | 5.25088i | 0.867446 | − | 0.254705i | ||||
\(426\) | −9.46178 | + | 2.77823i | −0.458425 | + | 0.134606i | ||||
\(427\) | 2.38012 | − | 5.21175i | 0.115182 | − | 0.252214i | ||||
\(428\) | −0.0843979 | − | 0.587000i | −0.00407953 | − | 0.0283737i | ||||
\(429\) | −9.87207 | − | 11.3930i | −0.476628 | − | 0.550058i | ||||
\(430\) | −2.34654 | − | 5.13821i | −0.113160 | − | 0.247787i | ||||
\(431\) | 2.94160 | − | 1.89045i | 0.141692 | − | 0.0910597i | −0.467874 | − | 0.883795i | \(-0.654980\pi\) |
0.609566 | + | 0.792735i | \(0.291344\pi\) | |||||||
\(432\) | −0.745796 | + | 5.18713i | −0.0358821 | + | 0.249566i | ||||
\(433\) | −7.93237 | − | 5.09782i | −0.381205 | − | 0.244986i | 0.335979 | − | 0.941870i | \(-0.390933\pi\) |
−0.717184 | + | 0.696884i | \(0.754569\pi\) | |||||||
\(434\) | −2.71232 | + | 3.13018i | −0.130196 | + | 0.150254i | ||||
\(435\) | 2.54376 | + | 0.746916i | 0.121964 | + | 0.0358119i | ||||
\(436\) | −6.86224 | −0.328642 | ||||||||
\(437\) | −0.0294243 | + | 1.29898i | −0.00140756 | + | 0.0621384i | ||||
\(438\) | 6.46203 | 0.308768 | ||||||||
\(439\) | −21.6681 | − | 6.36232i | −1.03416 | − | 0.303657i | −0.279759 | − | 0.960070i | \(-0.590255\pi\) |
−0.754402 | + | 0.656413i | \(0.772073\pi\) | |||||||
\(440\) | 4.73958 | − | 5.46977i | 0.225951 | − | 0.260761i | ||||
\(441\) | 10.0926 | + | 6.48609i | 0.480598 | + | 0.308861i | ||||
\(442\) | 1.78736 | − | 12.4313i | 0.0850159 | − | 0.591298i | ||||
\(443\) | −5.11530 | + | 3.28740i | −0.243035 | + | 0.156189i | −0.656488 | − | 0.754336i | \(-0.727959\pi\) |
0.413453 | + | 0.910525i | \(0.364323\pi\) | |||||||
\(444\) | −4.55219 | − | 9.96790i | −0.216037 | − | 0.473056i | ||||
\(445\) | 3.69362 | + | 4.26267i | 0.175095 | + | 0.202070i | ||||
\(446\) | 2.41693 | + | 16.8101i | 0.114445 | + | 0.795983i | ||||
\(447\) | 8.32377 | − | 18.2265i | 0.393701 | − | 0.862084i | ||||
\(448\) | −0.601808 | + | 0.176707i | −0.0284327 | + | 0.00834861i | ||||
\(449\) | 11.5754 | − | 3.39884i | 0.546276 | − | 0.160401i | 0.00306173 | − | 0.999995i | \(-0.499025\pi\) |
0.543214 | + | 0.839594i | \(0.317207\pi\) | |||||||
\(450\) | 2.63292 | − | 5.76530i | 0.124117 | − | 0.271779i | ||||
\(451\) | −9.06408 | − | 63.0421i | −0.426811 | − | 2.96853i | ||||
\(452\) | 0.816142 | + | 0.941878i | 0.0383881 | + | 0.0443022i | ||||
\(453\) | 5.19856 | + | 11.3833i | 0.244250 | + | 0.534832i | ||||
\(454\) | −15.1385 | + | 9.72895i | −0.710487 | + | 0.456602i | ||||
\(455\) | −0.257953 | + | 1.79410i | −0.0120930 | + | 0.0841088i | ||||
\(456\) | 0.248008 | + | 0.159385i | 0.0116141 | + | 0.00746390i | ||||
\(457\) | 13.2021 | − | 15.2360i | 0.617566 | − | 0.712709i | −0.357677 | − | 0.933845i | \(-0.616431\pi\) |
0.975243 | + | 0.221136i | \(0.0709765\pi\) | |||||||
\(458\) | −7.19287 | − | 2.11202i | −0.336101 | − | 0.0986881i | ||||
\(459\) | 27.9837 | 1.30617 | ||||||||
\(460\) | −5.81221 | − | 0.970488i | −0.270996 | − | 0.0452492i | ||||
\(461\) | 34.1368 | 1.58991 | 0.794954 | − | 0.606670i | \(-0.207495\pi\) | ||||
0.794954 | + | 0.606670i | \(0.207495\pi\) | |||||||
\(462\) | 3.85737 | + | 1.13263i | 0.179461 | + | 0.0526945i | ||||
\(463\) | −7.64326 | + | 8.82079i | −0.355212 | + | 0.409937i | −0.905030 | − | 0.425348i | \(-0.860152\pi\) |
0.549818 | + | 0.835285i | \(0.314697\pi\) | |||||||
\(464\) | −1.66810 | − | 1.07202i | −0.0774396 | − | 0.0497674i | ||||
\(465\) | −1.25651 | + | 8.73921i | −0.0582692 | + | 0.405271i | ||||
\(466\) | 4.64631 | − | 2.98600i | 0.215236 | − | 0.138324i | ||||
\(467\) | 1.97120 | + | 4.31632i | 0.0912162 | + | 0.199736i | 0.949741 | − | 0.313036i | \(-0.101346\pi\) |
−0.858525 | + | 0.512772i | \(0.828619\pi\) | |||||||
\(468\) | −2.79686 | − | 3.22775i | −0.129285 | − | 0.149203i | ||||
\(469\) | 0.552889 | + | 3.84543i | 0.0255300 | + | 0.177565i | ||||
\(470\) | −3.55897 | + | 7.79307i | −0.164163 | + | 0.359467i | ||||
\(471\) | 3.37043 | − | 0.989647i | 0.155301 | − | 0.0456005i | ||||
\(472\) | −1.58246 | + | 0.464653i | −0.0728387 | + | 0.0213874i | ||||
\(473\) | 11.2492 | − | 24.6324i | 0.517240 | − | 1.13260i | ||||
\(474\) | −0.930270 | − | 6.47017i | −0.0427287 | − | 0.297185i | ||||
\(475\) | −0.619238 | − | 0.714638i | −0.0284126 | − | 0.0327899i | ||||
\(476\) | 1.39134 | + | 3.04661i | 0.0637719 | + | 0.139641i | ||||
\(477\) | 4.02832 | − | 2.58884i | 0.184444 | − | 0.118535i | ||||
\(478\) | −0.742743 | + | 5.16589i | −0.0339723 | + | 0.236282i | ||||
\(479\) | −25.0307 | − | 16.0862i | −1.14368 | − | 0.734999i | −0.175310 | − | 0.984513i | \(-0.556093\pi\) |
−0.968371 | + | 0.249514i | \(0.919729\pi\) | |||||||
\(480\) | −0.875565 | + | 1.01046i | −0.0399639 | + | 0.0461208i | ||||
\(481\) | 22.7256 | + | 6.67283i | 1.03620 | + | 0.304255i | ||||
\(482\) | −1.55390 | −0.0707780 | ||||||||
\(483\) | −0.850805 | − | 3.16068i | −0.0387130 | − | 0.143816i | ||||
\(484\) | 23.6964 | 1.07711 | ||||||||
\(485\) | 12.0067 | + | 3.52549i | 0.545196 | + | 0.160084i | ||||
\(486\) | 10.1138 | − | 11.6720i | 0.458773 | − | 0.529452i | ||||
\(487\) | −7.33075 | − | 4.71119i | −0.332188 | − | 0.213484i | 0.363905 | − | 0.931436i | \(-0.381443\pi\) |
−0.696093 | + | 0.717952i | \(0.745080\pi\) | |||||||
\(488\) | −1.30003 | + | 9.04187i | −0.0588494 | + | 0.409306i | ||||
\(489\) | −10.1279 | + | 6.50879i | −0.457998 | + | 0.294338i | ||||
\(490\) | 3.37217 | + | 7.38401i | 0.152339 | + | 0.333576i | ||||
\(491\) | −9.86350 | − | 11.3831i | −0.445134 | − | 0.513712i | 0.488195 | − | 0.872735i | \(-0.337655\pi\) |
−0.933329 | + | 0.359023i | \(0.883110\pi\) | |||||||
\(492\) | 1.67445 | + | 11.6461i | 0.0754901 | + | 0.525045i | ||||
\(493\) | −4.39858 | + | 9.63154i | −0.198102 | + | 0.433783i | ||||
\(494\) | −0.611387 | + | 0.179519i | −0.0275076 | + | 0.00807696i | ||||
\(495\) | −12.6104 | + | 3.70275i | −0.566795 | + | 0.166426i | ||||
\(496\) | 2.74320 | − | 6.00678i | 0.123173 | − | 0.269712i | ||||
\(497\) | 0.808921 | + | 5.62617i | 0.0362851 | + | 0.252368i | ||||
\(498\) | −1.39172 | − | 1.60613i | −0.0623646 | − | 0.0719726i | ||||
\(499\) | 13.1268 | + | 28.7438i | 0.587638 | + | 1.28675i | 0.936859 | + | 0.349707i | \(0.113719\pi\) |
−0.349221 | + | 0.937040i | \(0.613554\pi\) | |||||||
\(500\) | 8.77601 | − | 5.64000i | 0.392475 | − | 0.252229i | ||||
\(501\) | −3.39636 | + | 23.6222i | −0.151738 | + | 1.05536i | ||||
\(502\) | −7.50951 | − | 4.82607i | −0.335166 | − | 0.215398i | ||||
\(503\) | 21.8882 | − | 25.2604i | 0.975947 | − | 1.12630i | −0.0160278 | − | 0.999872i | \(-0.505102\pi\) |
0.991975 | − | 0.126432i | \(-0.0403525\pi\) | |||||||
\(504\) | 1.09283 | + | 0.320885i | 0.0486786 | + | 0.0142933i | ||||
\(505\) | 17.4909 | 0.778336 | ||||||||
\(506\) | −14.7306 | − | 24.1045i | −0.654854 | − | 1.07158i | ||||
\(507\) | 8.12677 | 0.360922 | ||||||||
\(508\) | 6.89460 | + | 2.02444i | 0.305898 | + | 0.0898198i | ||||
\(509\) | 11.7336 | − | 13.5414i | 0.520085 | − | 0.600210i | −0.433567 | − | 0.901121i | \(-0.642745\pi\) |
0.953652 | + | 0.300911i | \(0.0972908\pi\) | |||||||
\(510\) | 6.00622 | + | 3.85997i | 0.265960 | + | 0.170922i | ||||
\(511\) | 0.530084 | − | 3.68681i | 0.0234495 | − | 0.163095i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | −0.589794 | − | 1.29147i | −0.0260401 | − | 0.0570198i | ||||
\(514\) | 2.38537 | + | 2.75286i | 0.105214 | + | 0.121424i | ||||
\(515\) | −0.131797 | − | 0.916671i | −0.00580769 | − | 0.0403934i | ||||
\(516\) | −2.07812 | + | 4.55045i | −0.0914843 | + | 0.200323i | ||||
\(517\) | −39.4074 | + | 11.5711i | −1.73314 | + | 0.508895i | ||||
\(518\) | −6.06045 | + | 1.77951i | −0.266281 | + | 0.0781871i | ||||
\(519\) | −5.01548 | + | 10.9824i | −0.220155 | + | 0.482073i | ||||
\(520\) | −0.411268 | − | 2.86043i | −0.0180353 | − | 0.125438i | ||||
\(521\) | −5.37419 | − | 6.20215i | −0.235448 | − | 0.271721i | 0.625714 | − | 0.780053i | \(-0.284808\pi\) |
−0.861161 | + | 0.508332i | \(0.830262\pi\) | |||||||
\(522\) | 1.49580 | + | 3.27534i | 0.0654694 | + | 0.143358i | ||||
\(523\) | −5.46786 | + | 3.51398i | −0.239093 | + | 0.153656i | −0.654701 | − | 0.755888i | \(-0.727205\pi\) |
0.415608 | + | 0.909544i | \(0.363569\pi\) | |||||||
\(524\) | 0.0936773 | − | 0.651540i | 0.00409231 | − | 0.0284627i | ||||
\(525\) | 2.00398 | + | 1.28788i | 0.0874610 | + | 0.0562078i | ||||
\(526\) | −10.5674 | + | 12.1955i | −0.460761 | + | 0.531747i | ||||
\(527\) | −33.8339 | − | 9.93454i | −1.47383 | − | 0.432755i | ||||
\(528\) | −6.40964 | −0.278944 | ||||||||
\(529\) | −10.4921 | + | 20.4674i | −0.456178 | + | 0.889889i | ||||
\(530\) | 3.24003 | 0.140738 | ||||||||
\(531\) | 2.87362 | + | 0.843771i | 0.124704 | + | 0.0366165i | ||||
\(532\) | 0.111279 | − | 0.128423i | 0.00482456 | − | 0.00556784i | ||||
\(533\) | −21.3936 | − | 13.7488i | −0.926660 | − | 0.595528i | ||||
\(534\) | 0.710880 | − | 4.94428i | 0.0307628 | − | 0.213960i | ||||
\(535\) | −0.612995 | + | 0.393948i | −0.0265021 | + | 0.0170318i | ||||
\(536\) | −2.57308 | − | 5.63427i | −0.111140 | − | 0.243363i | ||||
\(537\) | −12.4972 | − | 14.4225i | −0.539294 | − | 0.622378i | ||||
\(538\) | 0.639552 | + | 4.44818i | 0.0275730 | + | 0.191775i | ||||
\(539\) | −16.1660 | + | 35.3986i | −0.696319 | + | 1.52473i | ||||
\(540\) | 6.17818 | − | 1.81408i | 0.265866 | − | 0.0780654i | ||||
\(541\) | 25.2892 | − | 7.42559i | 1.08727 | − | 0.319251i | 0.311486 | − | 0.950251i | \(-0.399173\pi\) |
0.775783 | + | 0.631000i | \(0.217355\pi\) | |||||||
\(542\) | −1.45499 | + | 3.18598i | −0.0624970 | + | 0.136849i | ||||
\(543\) | 3.16008 | + | 21.9789i | 0.135612 | + | 0.943203i | ||||
\(544\) | −3.49691 | − | 4.03564i | −0.149929 | − | 0.173027i | ||||
\(545\) | 3.50265 | + | 7.66973i | 0.150037 | + | 0.328535i | ||||
\(546\) | 1.35039 | − | 0.867845i | 0.0577915 | − | 0.0371403i | ||||
\(547\) | 2.88152 | − | 20.0414i | 0.123205 | − | 0.856910i | −0.830683 | − | 0.556746i | \(-0.812050\pi\) |
0.953888 | − | 0.300164i | \(-0.0970413\pi\) | |||||||
\(548\) | −10.5359 | − | 6.77104i | −0.450073 | − | 0.289244i | ||||
\(549\) | 10.8629 | − | 12.5365i | 0.463618 | − | 0.535044i | ||||
\(550\) | 19.7262 | + | 5.79215i | 0.841130 | + | 0.246978i | ||||
\(551\) | 0.537209 | 0.0228859 | ||||||||
\(552\) | 2.72125 | + | 4.45294i | 0.115824 | + | 0.189530i | ||||
\(553\) | −3.76777 | −0.160222 | ||||||||
\(554\) | 11.5803 | + | 3.40028i | 0.491999 | + | 0.144464i | ||||
\(555\) | −8.81729 | + | 10.1757i | −0.374273 | + | 0.431934i | ||||
\(556\) | 14.3520 | + | 9.22346i | 0.608660 | + | 0.391162i | ||||
\(557\) | −1.16082 | + | 8.07369i | −0.0491856 | + | 0.342093i | 0.950338 | + | 0.311220i | \(0.100738\pi\) |
−0.999523 | + | 0.0308728i | \(0.990171\pi\) | |||||||
\(558\) | −10.0879 | + | 6.48307i | −0.427053 | + | 0.274450i | ||||
\(559\) | −4.49165 | − | 9.83535i | −0.189977 | − | 0.415991i | ||||
\(560\) | 0.504677 | + | 0.582428i | 0.0213265 | + | 0.0246121i | ||||
\(561\) | 4.87101 | + | 33.8786i | 0.205654 | + | 1.43036i | ||||
\(562\) | −2.60300 | + | 5.69977i | −0.109801 | + | 0.240430i | ||||
\(563\) | −30.1773 | + | 8.86085i | −1.27182 | + | 0.373440i | −0.846882 | − | 0.531781i | \(-0.821523\pi\) |
−0.424940 | + | 0.905222i | \(0.639705\pi\) | |||||||
\(564\) | 7.27993 | − | 2.13758i | 0.306540 | − | 0.0900083i | ||||
\(565\) | 0.636132 | − | 1.39294i | 0.0267623 | − | 0.0586012i | ||||
\(566\) | −4.50150 | − | 31.3086i | −0.189212 | − | 1.31600i | ||||
\(567\) | 0.104614 | + | 0.120730i | 0.00439336 | + | 0.00507020i | ||||
\(568\) | −3.76463 | − | 8.24338i | −0.157960 | − | 0.345885i | ||||
\(569\) | −22.4600 | + | 14.4342i | −0.941573 | + | 0.605112i | −0.918840 | − | 0.394629i | \(-0.870873\pi\) |
−0.0227328 | + | 0.999742i | \(0.507237\pi\) | |||||||
\(570\) | 0.0515511 | − | 0.358546i | 0.00215924 | − | 0.0150178i | ||||
\(571\) | −24.2752 | − | 15.6007i | −1.01589 | − | 0.652870i | −0.0769759 | − | 0.997033i | \(-0.524526\pi\) |
−0.938910 | + | 0.344163i | \(0.888163\pi\) | |||||||
\(572\) | 9.07230 | − | 10.4700i | 0.379332 | − | 0.437772i | ||||
\(573\) | −9.87955 | − | 2.90090i | −0.412724 | − | 0.121187i | ||||
\(574\) | 6.78183 | 0.283068 | ||||||||
\(575\) | −4.35094 | − | 16.1634i | −0.181447 | − | 0.674061i | ||||
\(576\) | −1.81592 | −0.0756632 | ||||||||
\(577\) | 26.9449 | + | 7.91174i | 1.12173 | + | 0.329370i | 0.789453 | − | 0.613811i | \(-0.210364\pi\) |
0.332278 | + | 0.943181i | \(0.392183\pi\) | |||||||
\(578\) | −7.54057 | + | 8.70228i | −0.313646 | + | 0.361967i | ||||
\(579\) | −23.3988 | − | 15.0375i | −0.972421 | − | 0.624937i | ||||
\(580\) | −0.346732 | + | 2.41157i | −0.0143973 | + | 0.100135i | ||||
\(581\) | −1.03052 | + | 0.662274i | −0.0427531 | + | 0.0274758i | ||||
\(582\) | −4.60370 | − | 10.0807i | −0.190829 | − | 0.417858i | ||||
\(583\) | 10.1717 | + | 11.7387i | 0.421267 | + | 0.486168i | ||||
\(584\) | 0.845139 | + | 5.87807i | 0.0349721 | + | 0.243236i | ||||
\(585\) | −2.17998 | + | 4.77349i | −0.0901311 | + | 0.197360i | ||||
\(586\) | −6.50322 | + | 1.90952i | −0.268645 | + | 0.0788814i | ||||
\(587\) | 26.9043 | − | 7.89980i | 1.11046 | − | 0.326060i | 0.325458 | − | 0.945556i | \(-0.394481\pi\) |
0.784999 | + | 0.619497i | \(0.212663\pi\) | |||||||
\(588\) | 2.98642 | − | 6.53936i | 0.123158 | − | 0.269679i | ||||
\(589\) | 0.254609 | + | 1.77085i | 0.0104910 | + | 0.0729665i | ||||
\(590\) | 1.32706 | + | 1.53150i | 0.0546340 | + | 0.0630510i | ||||
\(591\) | −2.38202 | − | 5.21590i | −0.0979833 | − | 0.214553i | ||||
\(592\) | 8.47176 | − | 5.44447i | 0.348187 | − | 0.223766i | ||||
\(593\) | 1.07775 | − | 7.49592i | 0.0442579 | − | 0.307821i | −0.955653 | − | 0.294494i | \(-0.904849\pi\) |
0.999911 | − | 0.0133265i | \(-0.00424207\pi\) | |||||||
\(594\) | 25.9681 | + | 16.6887i | 1.06548 | + | 0.684744i | ||||
\(595\) | 2.69494 | − | 3.11012i | 0.110482 | − | 0.127503i | ||||
\(596\) | 17.6680 | + | 5.18781i | 0.723711 | + | 0.212501i | ||||
\(597\) | 27.2213 | 1.11409 | ||||||||
\(598\) | −11.1255 | − | 1.85767i | −0.454955 | − | 0.0759656i | ||||
\(599\) | −12.5238 | −0.511708 | −0.255854 | − | 0.966715i | \(-0.582357\pi\) | ||||
−0.255854 | + | 0.966715i | \(0.582357\pi\) | |||||||
\(600\) | −3.64412 | − | 1.07001i | −0.148771 | − | 0.0436830i | ||||
\(601\) | 11.9356 | − | 13.7745i | 0.486865 | − | 0.561872i | −0.458160 | − | 0.888870i | \(-0.651491\pi\) |
0.945025 | + | 0.326997i | \(0.106037\pi\) | |||||||
\(602\) | 2.42572 | + | 1.55892i | 0.0988650 | + | 0.0635367i | ||||
\(603\) | −1.60073 | + | 11.1333i | −0.0651867 | + | 0.453384i | ||||
\(604\) | −9.67468 | + | 6.21754i | −0.393657 | + | 0.252988i | ||||
\(605\) | −12.0952 | − | 26.4848i | −0.491740 | − | 1.07676i | ||||
\(606\) | −10.1439 | − | 11.7067i | −0.412067 | − | 0.475551i | ||||
\(607\) | 1.26113 | + | 8.77135i | 0.0511877 | + | 0.356018i | 0.999277 | + | 0.0380146i | \(0.0121033\pi\) |
−0.948089 | + | 0.318004i | \(0.896988\pi\) | |||||||
\(608\) | −0.112546 | + | 0.246442i | −0.00456435 | + | 0.00999453i | ||||
\(609\) | −1.29851 | + | 0.381276i | −0.0526181 | + | 0.0154501i | ||||
\(610\) | 10.7694 | − | 3.16218i | 0.436041 | − | 0.128033i | ||||
\(611\) | −6.81243 | + | 14.9171i | −0.275602 | + | 0.603483i | ||||
\(612\) | 1.38001 | + | 9.59815i | 0.0557834 | + | 0.387982i | ||||
\(613\) | 13.9575 | + | 16.1078i | 0.563736 | + | 0.650586i | 0.964028 | − | 0.265802i | \(-0.0856366\pi\) |
−0.400292 | + | 0.916388i | \(0.631091\pi\) | |||||||
\(614\) | −2.52301 | − | 5.52462i | −0.101820 | − | 0.222956i | ||||
\(615\) | 12.1618 | − | 7.81591i | 0.490411 | − | 0.315168i | ||||
\(616\) | −0.525785 | + | 3.65692i | −0.0211845 | + | 0.147341i | ||||
\(617\) | 30.0653 | + | 19.3218i | 1.21038 | + | 0.777866i | 0.980723 | − | 0.195404i | \(-0.0626020\pi\) |
0.229661 | + | 0.973271i | \(0.426238\pi\) | |||||||
\(618\) | −0.537092 | + | 0.619837i | −0.0216050 | + | 0.0249335i | ||||
\(619\) | 7.07491 | + | 2.07738i | 0.284365 | + | 0.0834970i | 0.420804 | − | 0.907151i | \(-0.361748\pi\) |
−0.136440 | + | 0.990648i | \(0.543566\pi\) | |||||||
\(620\) | −8.11380 | −0.325858 | ||||||||
\(621\) | 0.569152 | − | 25.1260i | 0.0228393 | − | 1.00827i | ||||
\(622\) | 10.2293 | 0.410159 | ||||||||
\(623\) | −2.76257 | − | 0.811163i | −0.110680 | − | 0.0324986i | ||||
\(624\) | −1.67597 | + | 1.93417i | −0.0670925 | + | 0.0774288i | ||||
\(625\) | 3.89789 | + | 2.50502i | 0.155916 | + | 0.100201i | ||||
\(626\) | −0.572129 | + | 3.97924i | −0.0228669 | + | 0.159043i | ||||
\(627\) | 1.46086 | − | 0.938838i | 0.0583411 | − | 0.0374936i | ||||
\(628\) | 1.34102 | + | 2.93642i | 0.0535124 | + | 0.117176i | ||||
\(629\) | −35.2152 | − | 40.6406i | −1.40412 | − | 1.62044i | ||||
\(630\) | −0.199164 | − | 1.38522i | −0.00793488 | − | 0.0551883i | ||||
\(631\) | −7.98638 | + | 17.4877i | −0.317933 | + | 0.696176i | −0.999362 | − | 0.0357081i | \(-0.988631\pi\) |
0.681429 | + | 0.731884i | \(0.261359\pi\) | |||||||
\(632\) | 5.76381 | − | 1.69241i | 0.229272 | − | 0.0673204i | ||||
\(633\) | −9.25713 | + | 2.71814i | −0.367938 | + | 0.108036i | ||||
\(634\) | 2.07418 | − | 4.54182i | 0.0823763 | − | 0.180379i | ||||
\(635\) | −1.25651 | − | 8.73921i | −0.0498630 | − | 0.346805i | ||||
\(636\) | −1.87906 | − | 2.16855i | −0.0745096 | − | 0.0859887i | ||||
\(637\) | 6.45485 | + | 14.1342i | 0.255751 | + | 0.560016i | ||||
\(638\) | −9.82572 | + | 6.31461i | −0.389004 | + | 0.249998i | ||||
\(639\) | −2.34199 | + | 16.2889i | −0.0926479 | + | 0.644380i | ||||
\(640\) | −1.03365 | − | 0.664289i | −0.0408588 | − | 0.0262583i | ||||
\(641\) | −10.1695 | + | 11.7363i | −0.401673 | + | 0.463555i | −0.920167 | − | 0.391526i | \(-0.871947\pi\) |
0.518494 | + | 0.855081i | \(0.326493\pi\) | |||||||
\(642\) | 0.619176 | + | 0.181807i | 0.0244369 | + | 0.00717533i | ||||
\(643\) | 12.8573 | 0.507043 | 0.253522 | − | 0.967330i | \(-0.418411\pi\) | ||||
0.253522 | + | 0.967330i | \(0.418411\pi\) | |||||||
\(644\) | 2.76378 | − | 1.18729i | 0.108908 | − | 0.0467858i | ||||
\(645\) | 6.14664 | 0.242024 | ||||||||
\(646\) | 1.38811 | + | 0.407587i | 0.0546146 | + | 0.0160363i | ||||
\(647\) | 23.0648 | − | 26.6182i | 0.906771 | − | 1.04647i | −0.0919425 | − | 0.995764i | \(-0.529308\pi\) |
0.998714 | − | 0.0507053i | \(-0.0161469\pi\) | |||||||
\(648\) | −0.214264 | − | 0.137699i | −0.00841710 | − | 0.00540934i | ||||
\(649\) | −1.38256 | + | 9.61592i | −0.0542703 | + | 0.377458i | ||||
\(650\) | 6.90578 | − | 4.43808i | 0.270867 | − | 0.174076i | ||||
\(651\) | −1.87226 | − | 4.09967i | −0.0733795 | − | 0.160679i | ||||
\(652\) | −7.24518 | − | 8.36139i | −0.283743 | − | 0.327457i | ||||
\(653\) | −4.09454 | − | 28.4782i | −0.160232 | − | 1.11444i | −0.898196 | − | 0.439596i | \(-0.855122\pi\) |
0.737964 | − | 0.674840i | \(-0.235787\pi\) | |||||||
\(654\) | 3.10198 | − | 6.79239i | 0.121297 | − | 0.265604i | ||||
\(655\) | −0.776023 | + | 0.227861i | −0.0303217 | + | 0.00890326i | ||||
\(656\) | −10.3746 | + | 3.04627i | −0.405062 | + | 0.118937i | ||||
\(657\) | 4.47978 | − | 9.80934i | 0.174773 | − | 0.382699i | ||||
\(658\) | −0.622387 | − | 4.32879i | −0.0242632 | − | 0.168754i | ||||
\(659\) | −1.97220 | − | 2.27605i | −0.0768262 | − | 0.0886621i | 0.716035 | − | 0.698064i | \(-0.245955\pi\) |
−0.792861 | + | 0.609402i | \(0.791410\pi\) | |||||||
\(660\) | 3.27163 | + | 7.16387i | 0.127348 | + | 0.278853i | ||||
\(661\) | 8.06392 | − | 5.18236i | 0.313650 | − | 0.201571i | −0.374339 | − | 0.927292i | \(-0.622130\pi\) |
0.687989 | + | 0.725721i | \(0.258494\pi\) | |||||||
\(662\) | −0.698720 | + | 4.85970i | −0.0271565 | + | 0.188878i | ||||
\(663\) | 11.4969 | + | 7.38858i | 0.446501 | + | 0.286949i | ||||
\(664\) | 1.27897 | − | 1.47602i | 0.0496338 | − | 0.0572805i | ||||
\(665\) | −0.200334 | − | 0.0588234i | −0.00776862 | − | 0.00228107i | ||||
\(666\) | −18.2870 | −0.708607 | ||||||||
\(667\) | 8.55850 | + | 4.14528i | 0.331386 | + | 0.160506i | ||||
\(668\) | −21.9317 | −0.848563 | ||||||||
\(669\) | −17.7316 | − | 5.20646i | −0.685542 | − | 0.201293i | ||||
\(670\) | −4.98390 | + | 5.75172i | −0.192545 | + | 0.222208i | ||||
\(671\) | 45.2659 | + | 29.0906i | 1.74747 | + | 1.12303i | ||||
\(672\) | 0.0971309 | − | 0.675560i | 0.00374691 | − | 0.0260603i | ||||
\(673\) | 13.4283 | − | 8.62986i | 0.517624 | − | 0.332657i | −0.255607 | − | 0.966781i | \(-0.582275\pi\) |
0.773231 | + | 0.634124i | \(0.218639\pi\) | |||||||
\(674\) | 12.3100 | + | 26.9551i | 0.474162 | + | 1.03827i | ||||
\(675\) | 11.9779 | + | 13.8232i | 0.461028 | + | 0.532055i | ||||
\(676\) | 1.06286 | + | 7.39237i | 0.0408793 | + | 0.284322i | ||||
\(677\) | 10.8453 | − | 23.7479i | 0.416819 | − | 0.912706i | −0.578466 | − | 0.815707i | \(-0.696348\pi\) |
0.995284 | − | 0.0969993i | \(-0.0309244\pi\) | |||||||
\(678\) | −1.30122 | + | 0.382072i | −0.0499729 | + | 0.0146734i | ||||
\(679\) | −6.12902 | + | 1.79964i | −0.235210 | + | 0.0690640i | ||||
\(680\) | −2.72562 | + | 5.96828i | −0.104523 | + | 0.228873i | ||||
\(681\) | −2.78675 | − | 19.3823i | −0.106789 | − | 0.742731i | ||||
\(682\) | −25.4722 | − | 29.3965i | −0.975383 | − | 1.12565i | ||||
\(683\) | −17.1908 | − | 37.6427i | −0.657789 | − | 1.44036i | −0.884568 | − | 0.466411i | \(-0.845547\pi\) |
0.226779 | − | 0.973946i | \(-0.427181\pi\) | |||||||
\(684\) | 0.413877 | − | 0.265983i | 0.0158250 | − | 0.0101701i | ||||
\(685\) | −2.19000 | + | 15.2318i | −0.0836758 | + | 0.581978i | ||||
\(686\) | −7.17947 | − | 4.61397i | −0.274114 | − | 0.176162i | ||||
\(687\) | 5.34196 | − | 6.16495i | 0.203808 | − | 0.235207i | ||||
\(688\) | −4.41103 | − | 1.29519i | −0.168169 | − | 0.0493788i | ||||
\(689\) | 6.20193 | 0.236275 | ||||||||
\(690\) | 3.58794 | − | 5.31435i | 0.136590 | − | 0.202314i | ||||
\(691\) | 40.6203 | 1.54527 | 0.772635 | − | 0.634850i | \(-0.218938\pi\) | ||||
0.772635 | + | 0.634850i | \(0.218938\pi\) | |||||||
\(692\) | −10.6459 | − | 3.12591i | −0.404695 | − | 0.118829i | ||||
\(693\) | 4.39343 | − | 5.07028i | 0.166892 | − | 0.192604i | ||||
\(694\) | −10.8168 | − | 6.95151i | −0.410598 | − | 0.263876i | ||||
\(695\) | 2.98321 | − | 20.7487i | 0.113160 | − | 0.787042i | ||||
\(696\) | 1.81515 | − | 1.16653i | 0.0688032 | − | 0.0442171i | ||||
\(697\) | 23.9855 | + | 52.5209i | 0.908515 | + | 1.98937i | ||||
\(698\) | 15.4134 | + | 17.7880i | 0.583407 | + | 0.673287i | ||||
\(699\) | 0.855307 | + | 5.94879i | 0.0323507 | + | 0.225004i | ||||
\(700\) | −0.909407 | + | 1.99132i | −0.0343723 | + | 0.0752649i | ||||
\(701\) | −1.52463 | + | 0.447673i | −0.0575846 | + | 0.0169084i | −0.310398 | − | 0.950607i | \(-0.600462\pi\) |
0.252813 | + | 0.967515i | \(0.418644\pi\) | |||||||
\(702\) | 11.8260 | − | 3.47243i | 0.446344 | − | 0.131058i | ||||
\(703\) | −1.13338 | + | 2.48177i | −0.0427464 | + | 0.0936016i | ||||
\(704\) | −0.838287 | − | 5.83041i | −0.0315941 | − | 0.219742i | ||||
\(705\) | −6.10496 | − | 7.04550i | −0.229926 | − | 0.265349i | ||||
\(706\) | 3.45330 | + | 7.56167i | 0.129967 | + | 0.284587i | ||||
\(707\) | −7.51116 | + | 4.82713i | −0.282486 | + | 0.181543i | ||||
\(708\) | 0.255407 | − | 1.77640i | 0.00959879 | − | 0.0667610i | ||||
\(709\) | −3.64246 | − | 2.34087i | −0.136796 | − | 0.0879131i | 0.470453 | − | 0.882425i | \(-0.344090\pi\) |
−0.607249 | + | 0.794512i | \(0.707727\pi\) | |||||||
\(710\) | −7.29184 | + | 8.41523i | −0.273658 | + | 0.315818i | ||||
\(711\) | −10.4666 | − | 3.07327i | −0.392528 | − | 0.115257i | ||||
\(712\) | 4.59045 | 0.172034 | ||||||||
\(713\) | −9.60815 | + | 30.1767i | −0.359828 | + | 1.13013i | ||||
\(714\) | −3.64453 | −0.136393 | ||||||||
\(715\) | −16.3327 | − | 4.79572i | −0.610809 | − | 0.179350i | ||||
\(716\) | 11.4847 | − | 13.2541i | 0.429205 | − | 0.495329i | ||||
\(717\) | −4.77756 | − | 3.07035i | −0.178421 | − | 0.114664i | ||||
\(718\) | 2.75167 | − | 19.1383i | 0.102691 | − | 0.714235i | ||||
\(719\) | −21.8293 | + | 14.0289i | −0.814096 | + | 0.523188i | −0.880188 | − | 0.474626i | \(-0.842583\pi\) |
0.0660915 | + | 0.997814i | \(0.478947\pi\) | |||||||
\(720\) | 0.926887 | + | 2.02960i | 0.0345430 | + | 0.0756387i | ||||
\(721\) | 0.309580 | + | 0.357275i | 0.0115294 | + | 0.0133056i | ||||
\(722\) | 2.69354 | + | 18.7340i | 0.100243 | + | 0.697206i | ||||
\(723\) | 0.702417 | − | 1.53808i | 0.0261232 | − | 0.0572018i | ||||
\(724\) | −19.5794 | + | 5.74903i | −0.727662 | + | 0.213661i | ||||
\(725\) | −6.64044 | + | 1.94981i | −0.246620 | + | 0.0724141i | ||||
\(726\) | −10.7116 | + | 23.4552i | −0.397546 | + | 0.870505i | ||||
\(727\) | −2.47161 | − | 17.1904i | −0.0916670 | − | 0.637558i | −0.982918 | − | 0.184047i | \(-0.941080\pi\) |
0.891251 | − | 0.453511i | \(-0.149829\pi\) | |||||||
\(728\) | 0.966031 | + | 1.11486i | 0.0358035 | + | 0.0413194i | ||||
\(729\) | 7.29878 | + | 15.9821i | 0.270325 | + | 0.591929i | ||||
\(730\) | 6.13838 | − | 3.94489i | 0.227191 | − | 0.146007i | ||||
\(731\) | −3.49368 | + | 24.2991i | −0.129218 | + | 0.898734i | ||||
\(732\) | −8.36218 | − | 5.37405i | −0.309075 | − | 0.198631i | ||||
\(733\) | −30.9021 | + | 35.6630i | −1.14140 | + | 1.31724i | −0.200055 | + | 0.979785i | \(0.564112\pi\) |
−0.941341 | + | 0.337457i | \(0.890433\pi\) | |||||||
\(734\) | −29.2088 | − | 8.57648i | −1.07812 | − | 0.316564i | ||||
\(735\) | −8.83319 | −0.325817 | ||||||||
\(736\) | −3.69464 | + | 3.05772i | −0.136186 | + | 0.112709i | ||||
\(737\) | −36.4850 | −1.34394 | ||||||||
\(738\) | 18.8395 | + | 5.53177i | 0.693491 | + | 0.203627i | ||||
\(739\) | −9.88757 | + | 11.4109i | −0.363720 | + | 0.419755i | −0.907883 | − | 0.419224i | \(-0.862302\pi\) |
0.544163 | + | 0.838980i | \(0.316847\pi\) | |||||||
\(740\) | −10.4093 | − | 6.68966i | −0.382654 | − | 0.245917i | ||||
\(741\) | 0.0986769 | − | 0.686313i | 0.00362499 | − | 0.0252123i | ||||
\(742\) | −1.39137 | + | 0.894181i | −0.0510789 | + | 0.0328264i | ||||
\(743\) | −4.94255 | − | 10.8227i | −0.181324 | − | 0.397045i | 0.797042 | − | 0.603924i | \(-0.206397\pi\) |
−0.978367 | + | 0.206878i | \(0.933670\pi\) | |||||||
\(744\) | 4.70561 | + | 5.43056i | 0.172516 | + | 0.199094i | ||||
\(745\) | −3.21992 | − | 22.3950i | −0.117969 | − | 0.820491i | ||||
\(746\) | 8.01594 | − | 17.5525i | 0.293484 | − | 0.642641i | ||||
\(747\) | −3.40291 | + | 0.999185i | −0.124506 | + | 0.0365583i | ||||
\(748\) | −30.1800 | + | 8.86165i | −1.10349 | + | 0.324014i | ||||
\(749\) | 0.154518 | − | 0.338348i | 0.00564597 | − | 0.0123630i | ||||
\(750\) | 1.61552 | + | 11.2362i | 0.0589904 | + | 0.410287i | ||||
\(751\) | −5.20597 | − | 6.00801i | −0.189969 | − | 0.219235i | 0.652773 | − | 0.757553i | \(-0.273605\pi\) |
−0.842742 | + | 0.538318i | \(0.819060\pi\) | |||||||
\(752\) | 2.89652 | + | 6.34249i | 0.105625 | + | 0.231287i | ||||
\(753\) | 8.17152 | − | 5.25152i | 0.297787 | − | 0.191376i | ||||
\(754\) | −0.663699 | + | 4.61613i | −0.0241705 | + | 0.168110i | ||||
\(755\) | 11.8874 | + | 7.63954i | 0.432625 | + | 0.278031i | ||||
\(756\) | −2.15246 | + | 2.48407i | −0.0782842 | + | 0.0903448i | ||||
\(757\) | −21.3067 | − | 6.25622i | −0.774406 | − | 0.227386i | −0.129430 | − | 0.991589i | \(-0.541315\pi\) |
−0.644977 | + | 0.764202i | \(0.723133\pi\) | |||||||
\(758\) | 32.3335 | 1.17441 | ||||||||
\(759\) | 30.5179 | − | 3.68452i | 1.10773 | − | 0.133740i | ||||
\(760\) | 0.332887 | 0.0120751 | ||||||||
\(761\) | −3.25541 | − | 0.955875i | −0.118009 | − | 0.0346504i | 0.222195 | − | 0.975002i | \(-0.428678\pi\) |
−0.340204 | + | 0.940352i | \(0.610496\pi\) | |||||||
\(762\) | −5.12044 | + | 5.90930i | −0.185494 | + | 0.214071i | ||||
\(763\) | −3.62084 | − | 2.32697i | −0.131083 | − | 0.0842420i | ||||
\(764\) | 1.34665 | − | 9.36615i | 0.0487201 | − | 0.338856i | ||||
\(765\) | 10.0232 | − | 6.44152i | 0.362389 | − | 0.232894i | ||||
\(766\) | −2.98681 | − | 6.54021i | −0.107918 | − | 0.236307i | ||||
\(767\) | 2.54019 | + | 2.93154i | 0.0917210 | + | 0.105852i | ||||
\(768\) | 0.154861 | + | 1.07708i | 0.00558806 | + | 0.0388658i | ||||
\(769\) | 1.72530 | − | 3.77789i | 0.0622160 | − | 0.136234i | −0.875970 | − | 0.482366i | \(-0.839778\pi\) |
0.938186 | + | 0.346132i | \(0.112505\pi\) | |||||||
\(770\) | 4.35561 | − | 1.27892i | 0.156965 | − | 0.0460891i | ||||
\(771\) | −3.80311 | + | 1.11670i | −0.136966 | + | 0.0402168i | ||||
\(772\) | 10.6184 | − | 23.2510i | 0.382163 | − | 0.836821i | ||||
\(773\) | 4.01918 | + | 27.9540i | 0.144560 | + | 1.00544i | 0.924935 | + | 0.380125i | \(0.124119\pi\) |
−0.780375 | + | 0.625311i | \(0.784972\pi\) | |||||||
\(774\) | 5.46692 | + | 6.30916i | 0.196504 | + | 0.226778i | ||||
\(775\) | −9.57454 | − | 20.9653i | −0.343928 | − | 0.753097i | ||||
\(776\) | 8.56762 | − | 5.50608i | 0.307560 | − | 0.197657i | ||||
\(777\) | 0.978147 | − | 6.80316i | 0.0350908 | − | 0.244062i | ||||
\(778\) | 22.1125 | + | 14.2109i | 0.792773 | + | 0.509484i | ||||
\(779\) | 1.91835 | − | 2.21390i | 0.0687321 | − | 0.0793211i | ||||
\(780\) | 3.01722 | + | 0.885937i | 0.108034 | + | 0.0317216i | ||||
\(781\) | −53.3804 | −1.91010 | ||||||||
\(782\) | 18.9695 | + | 17.2046i | 0.678349 | + | 0.615234i | ||||
\(783\) | −10.3912 | −0.371351 | ||||||||
\(784\) | 6.33899 | + | 1.86129i | 0.226392 | + | 0.0664748i | ||||
\(785\) | 2.59746 | − | 2.99763i | 0.0927075 | − | 0.106990i | ||||
\(786\) | 0.602563 | + | 0.387244i | 0.0214927 | + | 0.0138125i | ||||
\(787\) | −3.11544 | + | 21.6684i | −0.111053 | + | 0.772393i | 0.855845 | + | 0.517232i | \(0.173038\pi\) |
−0.966899 | + | 0.255161i | \(0.917871\pi\) | |||||||
\(788\) | 4.43302 | − | 2.84893i | 0.157920 | − | 0.101489i | ||||
\(789\) | −7.29446 | − | 15.9726i | −0.259690 | − | 0.568641i | ||||
\(790\) | −4.83354 | − | 5.57820i | −0.171970 | − | 0.198464i | ||||
\(791\) | 0.111246 | + | 0.773730i | 0.00395544 | + | 0.0275107i | ||||
\(792\) | −4.44345 | + | 9.72980i | −0.157891 | + | 0.345733i | ||||
\(793\) | 20.6143 | − | 6.05291i | 0.732036 | − | 0.214945i | ||||
\(794\) | 8.89615 | − | 2.61214i | 0.315712 | − | 0.0927015i | ||||
\(795\) | −1.46461 | + | 3.20705i | −0.0519444 | + | 0.113742i | ||||
\(796\) | 3.56014 | + | 24.7613i | 0.126186 | + | 0.877642i | ||||
\(797\) | 7.02444 | + | 8.10663i | 0.248818 | + | 0.287152i | 0.866395 | − | 0.499359i | \(-0.166431\pi\) |
−0.617577 | + | 0.786510i | \(0.711886\pi\) | |||||||
\(798\) | 0.0768135 | + | 0.168198i | 0.00271917 | + | 0.00595415i | ||||
\(799\) | 31.3225 | − | 20.1297i | 1.10811 | − | 0.712139i | ||||
\(800\) | 0.496718 | − | 3.45475i | 0.0175616 | − | 0.122144i | ||||
\(801\) | −7.01258 | − | 4.50671i | −0.247777 | − | 0.159237i | ||||
\(802\) | 18.3571 | − | 21.1853i | 0.648213 | − | 0.748078i | ||||
\(803\) | 33.5631 | + | 9.85502i | 1.18442 | + | 0.347776i | ||||
\(804\) | 6.74004 | 0.237703 | ||||||||
\(805\) | −2.73770 | − | 2.48298i | −0.0964912 | − | 0.0875136i | ||||
\(806\) | −15.5311 | −0.547059 | ||||||||
\(807\) | −4.69201 | − | 1.37770i | −0.165166 | − | 0.0484972i | ||||
\(808\) | 9.32209 | − | 10.7583i | 0.327950 | − | 0.378474i | ||||
\(809\) | 28.3453 | + | 18.2164i | 0.996568 | + | 0.640456i | 0.933883 | − | 0.357578i | \(-0.116397\pi\) |
0.0626850 | + | 0.998033i | \(0.480034\pi\) | |||||||
\(810\) | −0.0445371 | + | 0.309762i | −0.00156487 | + | 0.0108839i | ||||
\(811\) | 29.2735 | − | 18.8129i | 1.02793 | − | 0.660611i | 0.0859572 | − | 0.996299i | \(-0.472605\pi\) |
0.941973 | + | 0.335688i | \(0.108969\pi\) | |||||||
\(812\) | −0.516646 | − | 1.13130i | −0.0181307 | − | 0.0397008i | ||||
\(813\) | −2.49584 | − | 2.88035i | −0.0875330 | − | 0.101018i | ||||
\(814\) | −8.44188 | − | 58.7146i | −0.295888 | − | 2.05795i | ||||
\(815\) | −5.64717 | + | 12.3656i | −0.197812 | + | 0.433147i | ||||
\(816\) | 5.57530 | − | 1.63705i | 0.195174 | − | 0.0573084i | ||||
\(817\) | 1.19506 | − | 0.350900i | 0.0418097 | − | 0.0122764i | ||||
\(818\) | 0.0184072 | − | 0.0403061i | 0.000643591 | − | 0.00140927i | ||||
\(819\) | −0.381231 | − | 2.65152i | −0.0133213 | − | 0.0926516i | ||||
\(820\) | 8.70019 | + | 10.0406i | 0.303824 | + | 0.350631i | ||||
\(821\) | −9.90154 | − | 21.6813i | −0.345566 | − | 0.756684i | −1.00000 | 0.000564668i | \(-0.999820\pi\) | |
0.654434 | − | 0.756119i | \(-0.272907\pi\) | |||||||
\(822\) | 11.4647 | − | 7.36794i | 0.399879 | − | 0.256987i | ||||
\(823\) | 3.38486 | − | 23.5422i | 0.117989 | − | 0.820630i | −0.841776 | − | 0.539826i | \(-0.818490\pi\) |
0.959765 | − | 0.280804i | \(-0.0906010\pi\) | |||||||
\(824\) | −0.634067 | − | 0.407490i | −0.0220888 | − | 0.0141956i | ||||
\(825\) | −14.6502 | + | 16.9072i | −0.510053 | + | 0.588633i | ||||
\(826\) | −0.992543 | − | 0.291437i | −0.0345350 | − | 0.0101404i | ||||
\(827\) | 30.8236 | 1.07184 | 0.535921 | − | 0.844268i | \(-0.319965\pi\) | ||||
0.535921 | + | 0.844268i | \(0.319965\pi\) | |||||||
\(828\) | 8.64604 | − | 1.04386i | 0.300471 | − | 0.0362768i | ||||
\(829\) | −30.9416 | −1.07465 | −0.537324 | − | 0.843376i | \(-0.680565\pi\) | ||||
−0.537324 | + | 0.843376i | \(0.680565\pi\) | |||||||
\(830\) | −2.30252 | − | 0.676081i | −0.0799216 | − | 0.0234671i | ||||
\(831\) | −8.60038 | + | 9.92537i | −0.298344 | + | 0.344307i | ||||
\(832\) | −1.97858 | − | 1.27155i | −0.0685948 | − | 0.0440832i | ||||
\(833\) | 5.02069 | − | 34.9197i | 0.173957 | − | 1.20989i | ||||
\(834\) | −15.6172 | + | 10.0366i | −0.540779 | + | 0.347538i | ||||
\(835\) | 11.1945 | + | 24.5124i | 0.387400 | + | 0.848288i | ||||
\(836\) | 1.04506 | + | 1.20606i | 0.0361440 | + | 0.0417124i | ||||
\(837\) | −4.92489 | − | 34.2533i | −0.170229 | − | 1.18397i | ||||
\(838\) | 5.12508 | − | 11.2224i | 0.177043 | − | 0.387670i | ||||
\(839\) | 37.7321 | − | 11.0791i | 1.30266 | − | 0.382494i | 0.444452 | − | 0.895803i | \(-0.353398\pi\) |
0.858204 | + | 0.513308i | \(0.171580\pi\) | |||||||
\(840\) | −0.804632 | + | 0.236261i | −0.0277624 | + | 0.00815179i | ||||
\(841\) | −10.4137 | + | 22.8028i | −0.359093 | + | 0.786305i | ||||
\(842\) | −0.397270 | − | 2.76307i | −0.0136908 | − | 0.0952218i | ||||
\(843\) | −4.46511 | − | 5.15301i | −0.153786 | − | 0.177479i | ||||
\(844\) | −3.68320 | − | 8.06509i | −0.126781 | − | 0.277612i | ||||
\(845\) | 7.71973 | − | 4.96117i | 0.265567 | − | 0.170669i | ||||
\(846\) | 1.80194 | − | 12.5328i | 0.0619520 | − | 0.430885i | ||||
\(847\) | 12.5033 | + | 8.03540i | 0.429620 | + | 0.276100i | ||||
\(848\) | 1.72683 | − | 1.99287i | 0.0592996 | − | 0.0684354i | ||||
\(849\) | 33.0248 | + | 9.69695i | 1.13341 | + | 0.332798i | ||||
\(850\) | −18.6378 | −0.639272 | ||||||||
\(851\) | −37.2065 | + | 30.7924i | −1.27542 | + | 1.05555i | ||||
\(852\) | 9.86123 | 0.337840 | ||||||||
\(853\) | 5.57235 | + | 1.63619i | 0.190794 | + | 0.0560220i | 0.375733 | − | 0.926728i | \(-0.377391\pi\) |
−0.184940 | + | 0.982750i | \(0.559209\pi\) | |||||||
\(854\) | −3.75203 | + | 4.33008i | −0.128392 | + | 0.148172i | ||||
\(855\) | −0.508534 | − | 0.326815i | −0.0173915 | − | 0.0111768i | ||||
\(856\) | −0.0843979 | + | 0.587000i | −0.00288466 | + | 0.0200633i | ||||
\(857\) | −17.8082 | + | 11.4446i | −0.608316 | + | 0.390941i | −0.808225 | − | 0.588873i | \(-0.799572\pi\) |
0.199909 | + | 0.979814i | \(0.435935\pi\) | |||||||
\(858\) | 6.26241 | + | 13.7128i | 0.213795 | + | 0.468146i | ||||
\(859\) | −1.76327 | − | 2.03492i | −0.0601620 | − | 0.0694306i | 0.724871 | − | 0.688885i | \(-0.241899\pi\) |
−0.785033 | + | 0.619454i | \(0.787354\pi\) | |||||||
\(860\) | 0.803890 | + | 5.59118i | 0.0274124 | + | 0.190658i | ||||
\(861\) | −3.06564 | + | 6.71280i | −0.104477 | + | 0.228772i | ||||
\(862\) | −3.35504 | + | 0.985129i | −0.114273 | + | 0.0335536i | ||||
\(863\) | −19.3770 | + | 5.68960i | −0.659601 | + | 0.193676i | −0.594367 | − | 0.804194i | \(-0.702597\pi\) |
−0.0652336 | + | 0.997870i | \(0.520779\pi\) | |||||||
\(864\) | 2.17697 | − | 4.76690i | 0.0740620 | − | 0.162173i | ||||
\(865\) | 1.94016 | + | 13.4941i | 0.0659675 | + | 0.458814i | ||||
\(866\) | 6.17483 | + | 7.12613i | 0.209829 | + | 0.242156i | ||||
\(867\) | −5.20509 | − | 11.3976i | −0.176774 | − | 0.387082i | ||||
\(868\) | 3.48433 | − | 2.23924i | 0.118266 | − | 0.0760048i | ||||
\(869\) | 5.03571 | − | 35.0241i | 0.170825 | − | 1.18811i | ||||
\(870\) | −2.23029 | − | 1.43332i | −0.0756140 | − | 0.0485942i | ||||
\(871\) | −9.53996 | + | 11.0097i | −0.323249 | + | 0.373049i | ||||
\(872\) | 6.58427 | + | 1.93332i | 0.222972 | + | 0.0654703i | ||||
\(873\) | −18.4939 | −0.625925 | ||||||||
\(874\) | 0.394196 | − | 1.23807i | 0.0133339 | − | 0.0418783i | ||||
\(875\) | 6.54314 | 0.221199 | ||||||||
\(876\) | −6.20028 | − | 1.82057i | −0.209488 | − | 0.0615112i | ||||
\(877\) | −13.7744 | + | 15.8966i | −0.465130 | + | 0.536789i | −0.939051 | − | 0.343779i | \(-0.888293\pi\) |
0.473921 | + | 0.880568i | \(0.342838\pi\) | |||||||
\(878\) | 18.9979 | + | 12.2092i | 0.641148 | + | 0.412041i | ||||
\(879\) | 1.04961 | − | 7.30020i | 0.0354025 | − | 0.246229i | ||||
\(880\) | −6.08860 | + | 3.91291i | −0.205247 | + | 0.131904i | ||||
\(881\) | −10.2339 | − | 22.4090i | −0.344787 | − | 0.754979i | 0.655212 | − | 0.755445i | \(-0.272579\pi\) |
−1.00000 | 0.000465480i | \(0.999852\pi\) | ||||||||
\(882\) | −7.85639 | − | 9.06676i | −0.264538 | − | 0.305294i | ||||
\(883\) | 0.165923 | + | 1.15402i | 0.00558376 | + | 0.0388359i | 0.992423 | − | 0.122870i | \(-0.0392097\pi\) |
−0.986839 | + | 0.161705i | \(0.948301\pi\) | |||||||
\(884\) | −5.21727 | + | 11.4242i | −0.175476 | + | 0.384238i | ||||
\(885\) | −2.11579 | + | 0.621253i | −0.0711216 | + | 0.0208832i | ||||
\(886\) | 5.83426 | − | 1.71309i | 0.196006 | − | 0.0575525i | ||||
\(887\) | −4.22870 | + | 9.25957i | −0.141986 | + | 0.310906i | −0.967243 | − | 0.253851i | \(-0.918303\pi\) |
0.825257 | + | 0.564757i | \(0.191030\pi\) | |||||||
\(888\) | 1.55951 | + | 10.8466i | 0.0523337 | + | 0.363989i | ||||
\(889\) | 2.95143 | + | 3.40613i | 0.0989877 | + | 0.114238i | ||||
\(890\) | −2.34307 | − | 5.13062i | −0.0785400 | − | 0.171979i | ||||
\(891\) | −1.26210 | + | 0.811100i | −0.0422818 | + | 0.0271729i | ||||
\(892\) | 2.41693 | − | 16.8101i | 0.0809249 | − | 0.562845i | ||||
\(893\) | −1.58917 | − | 1.02130i | −0.0531794 | − | 0.0341763i | ||||
\(894\) | −13.1216 | + | 15.1431i | −0.438852 | + | 0.506462i | ||||
\(895\) | −20.6758 | − | 6.07097i | −0.691116 | − | 0.202930i | ||||
\(896\) | 0.627214 | 0.0209538 | ||||||||
\(897\) | 6.86788 | − | 10.1725i | 0.229312 | − | 0.339650i | ||||
\(898\) | −12.0641 | −0.402583 | ||||||||
\(899\) | 12.5636 | + | 3.68900i | 0.419018 | + | 0.123035i | ||||
\(900\) | −4.15054 | + | 4.78998i | −0.138351 | + | 0.159666i | ||||
\(901\) | −11.8457 | − | 7.61280i | −0.394639 | − | 0.253619i | ||||
\(902\) | −9.06408 | + | 63.0421i | −0.301801 | + | 2.09907i | ||||
\(903\) | −2.63956 | + | 1.69634i | −0.0878392 | + | 0.0564508i | ||||
\(904\) | −0.517725 | − | 1.13366i | −0.0172193 | − | 0.0377049i | ||||
\(905\) | 16.4193 | + | 18.9489i | 0.545796 | + | 0.629882i | ||||
\(906\) | −1.78095 | − | 12.3868i | −0.0591680 | − | 0.411523i | ||||
\(907\) | 8.16401 | − | 17.8767i | 0.271082 | − | 0.593586i | −0.724311 | − | 0.689474i | \(-0.757842\pi\) |
0.995392 | + | 0.0958881i | \(0.0305691\pi\) | |||||||
\(908\) | 17.2663 | − | 5.06984i | 0.573002 | − | 0.168248i | ||||
\(909\) | −24.8029 | + | 7.28278i | −0.822659 | + | 0.241555i | ||||
\(910\) | 0.752961 | − | 1.64876i | 0.0249604 | − | 0.0546557i | ||||
\(911\) | 6.81180 | + | 47.3771i | 0.225685 | + | 1.56967i | 0.715983 | + | 0.698118i | \(0.245979\pi\) |
−0.490298 | + | 0.871555i | \(0.663112\pi\) | |||||||
\(912\) | −0.193058 | − | 0.222801i | −0.00639280 | − | 0.00737768i | ||||
\(913\) | −4.77901 | − | 10.4646i | −0.158162 | − | 0.346326i | ||||
\(914\) | −16.9598 | + | 10.8994i | −0.560979 | + | 0.360519i | ||||
\(915\) | −1.73817 | + | 12.0892i | −0.0574620 | + | 0.399657i | ||||
\(916\) | 6.30648 | + | 4.05293i | 0.208372 | + | 0.133913i | ||||
\(917\) | 0.270364 | − | 0.312017i | 0.00892821 | − | 0.0103037i | ||||
\(918\) | −26.8502 | − | 7.88392i | −0.886187 | − | 0.260208i | ||||
\(919\) | −35.7413 | −1.17900 | −0.589499 | − | 0.807769i | \(-0.700675\pi\) | ||||
−0.589499 | + | 0.807769i | \(0.700675\pi\) | |||||||
\(920\) | 5.30335 | + | 2.56866i | 0.174846 | + | 0.0846864i | ||||
\(921\) | 6.60888 | 0.217770 | ||||||||
\(922\) | −32.7540 | − | 9.61744i | −1.07870 | − | 0.316733i | ||||
\(923\) | −13.9577 | + | 16.1081i | −0.459424 | + | 0.530204i | ||||
\(924\) | −3.38202 | − | 2.17349i | −0.111260 | − | 0.0715027i | ||||
\(925\) | 5.00215 | − | 34.7907i | 0.164470 | − | 1.14391i | ||||
\(926\) | 9.81876 | − | 6.31013i | 0.322664 | − | 0.207364i | ||||
\(927\) | 0.568573 | + | 1.24500i | 0.0186744 | + | 0.0408912i | ||||
\(928\) | 1.29851 | + | 1.49856i | 0.0426256 | + | 0.0491925i | ||||
\(929\) | 3.26383 | + | 22.7004i | 0.107083 | + | 0.744777i | 0.970642 | + | 0.240529i | \(0.0773210\pi\) |
−0.863559 | + | 0.504247i | \(0.831770\pi\) | |||||||
\(930\) | 3.66773 | − | 8.03121i | 0.120270 | − | 0.263354i | ||||
\(931\) | −1.71739 | + | 0.504270i | −0.0562851 | + | 0.0165268i | ||||
\(932\) | −5.29935 | + | 1.55603i | −0.173586 | + | 0.0509695i | ||||
\(933\) | −4.62403 | + | 10.1252i | −0.151384 | + | 0.331485i | ||||
\(934\) | −0.675303 | − | 4.69683i | −0.0220966 | − | 0.153685i | ||||
\(935\) | 25.3090 | + | 29.2081i | 0.827692 | + | 0.955208i | ||||
\(936\) | 1.77421 | + | 3.88497i | 0.0579917 | + | 0.126984i | ||||
\(937\) | −16.5521 | + | 10.6374i | −0.540735 | + | 0.347509i | −0.782326 | − | 0.622869i | \(-0.785967\pi\) |
0.241591 | + | 0.970378i | \(0.422331\pi\) | |||||||
\(938\) | 0.552889 | − | 3.84543i | 0.0180525 | − | 0.125558i | ||||
\(939\) | −3.68012 | − | 2.36507i | −0.120096 | − | 0.0771811i | ||||
\(940\) | 5.61037 | − | 6.47471i | 0.182990 | − | 0.211182i | ||||
\(941\) | 50.1716 | + | 14.7317i | 1.63555 | + | 0.480240i | 0.965136 | − | 0.261748i | \(-0.0842989\pi\) |
0.670413 | + | 0.741989i | \(0.266117\pi\) | |||||||
\(942\) | −3.51272 | −0.114451 | ||||||||
\(943\) | 47.6452 | − | 20.4678i | 1.55154 | − | 0.666524i | ||||
\(944\) | 1.64927 | 0.0536792 | ||||||||
\(945\) | 3.87504 | + | 1.13781i | 0.126055 | + | 0.0370131i | ||||
\(946\) | −17.7333 | + | 20.4653i | −0.576559 | + | 0.665385i | ||||
\(947\) | −22.1851 | − | 14.2575i | −0.720917 | − | 0.463305i | 0.128038 | − | 0.991769i | \(-0.459132\pi\) |
−0.848956 | + | 0.528464i | \(0.822768\pi\) | |||||||
\(948\) | −0.930270 | + | 6.47017i | −0.0302138 | + | 0.210141i | ||||
\(949\) | 11.7498 | − | 7.55115i | 0.381415 | − | 0.245121i | ||||
\(950\) | 0.392817 | + | 0.860150i | 0.0127447 | + | 0.0279069i | ||||
\(951\) | 3.55799 | + | 4.10614i | 0.115376 | + | 0.133151i | ||||
\(952\) | −0.476652 | − | 3.31519i | −0.0154484 | − | 0.107446i | ||||
\(953\) | 17.2026 | − | 37.6685i | 0.557247 | − | 1.22020i | −0.396067 | − | 0.918222i | \(-0.629625\pi\) |
0.953314 | − | 0.301980i | \(-0.0976474\pi\) | |||||||
\(954\) | −4.59450 | + | 1.34907i | −0.148752 | + | 0.0436777i | ||||
\(955\) | −11.1556 | + | 3.27559i | −0.360988 | + | 0.105996i | ||||
\(956\) | 2.16805 | − | 4.74738i | 0.0701199 | − | 0.153541i | ||||
\(957\) | −1.80875 | − | 12.5801i | −0.0584686 | − | 0.406658i | ||||
\(958\) | 19.4848 | + | 22.4866i | 0.629524 | + | 0.726509i | ||||
\(959\) | −3.26321 | − | 7.14543i | −0.105374 | − | 0.230738i | ||||
\(960\) | 1.12478 | − | 0.722850i | 0.0363020 | − | 0.0233299i | ||||
\(961\) | −1.79410 | + | 12.4782i | −0.0578742 | + | 0.402524i | ||||
\(962\) | −19.9251 | − | 12.8051i | −0.642410 | − | 0.412852i | ||||
\(963\) | 0.705223 | − | 0.813870i | 0.0227255 | − | 0.0262266i | ||||
\(964\) | 1.49095 | + | 0.437783i | 0.0480203 | + | 0.0141000i | ||||
\(965\) | −31.4068 | −1.01102 | ||||||||
\(966\) | −0.0741251 | + | 3.27235i | −0.00238494 | + | 0.105286i | ||||
\(967\) | −24.8632 | −0.799546 | −0.399773 | − | 0.916614i | \(-0.630911\pi\) | ||||
−0.399773 | + | 0.916614i | \(0.630911\pi\) | |||||||
\(968\) | −22.7366 | − | 6.67606i | −0.730781 | − | 0.214577i | ||||
\(969\) | −1.03092 | + | 1.18974i | −0.0331178 | + | 0.0382200i | ||||
\(970\) | −10.5271 | − | 6.76536i | −0.338005 | − | 0.217222i | ||||
\(971\) | 7.51378 | − | 52.2595i | 0.241129 | − | 1.67709i | −0.405355 | − | 0.914159i | \(-0.632852\pi\) |
0.646484 | − | 0.762928i | \(-0.276239\pi\) | |||||||
\(972\) | −12.9925 | + | 8.34979i | −0.416736 | + | 0.267820i | ||||
\(973\) | 4.44512 | + | 9.73345i | 0.142504 | + | 0.312040i | ||||
\(974\) | 5.70651 | + | 6.58566i | 0.182848 | + | 0.211018i | ||||
\(975\) | 1.27124 | + | 8.84166i | 0.0407122 | + | 0.283160i | ||||
\(976\) | 3.79475 | − | 8.30935i | 0.121467 | − | 0.265976i | ||||
\(977\) | 12.6033 | − | 3.70065i | 0.403214 | − | 0.118394i | −0.0738363 | − | 0.997270i | \(-0.523524\pi\) |
0.477050 | + | 0.878876i | \(0.341706\pi\) | |||||||
\(978\) | 11.5514 | − | 3.39179i | 0.369372 | − | 0.108457i | ||||
\(979\) | 11.2326 | − | 24.5959i | 0.358995 | − | 0.786090i | ||||
\(980\) | −1.15525 | − | 8.03496i | −0.0369032 | − | 0.256667i | ||||
\(981\) | −8.16039 | − | 9.41759i | −0.260541 | − | 0.300680i | ||||
\(982\) | 6.25698 | + | 13.7009i | 0.199668 | + | 0.437212i | ||||
\(983\) | −45.2576 | + | 29.0853i | −1.44349 | + | 0.927677i | −0.443995 | + | 0.896029i | \(0.646439\pi\) |
−0.999499 | + | 0.0316476i | \(0.989925\pi\) | |||||||
\(984\) | 1.67445 | − | 11.6461i | 0.0533795 | − | 0.371263i | ||||
\(985\) | −5.44688 | − | 3.50050i | −0.173552 | − | 0.111535i | ||||
\(986\) | 6.93393 | − | 8.00218i | 0.220821 | − | 0.254841i | ||||
\(987\) | 4.56608 | + | 1.34072i | 0.145340 | + | 0.0426756i | ||||
\(988\) | 0.637198 | 0.0202720 | ||||||||
\(989\) | 21.7466 | + | 3.63111i | 0.691500 | + | 0.115463i | ||||
\(990\) | 13.1428 | 0.417705 | ||||||||
\(991\) | 41.8902 | + | 12.3001i | 1.33069 | + | 0.390725i | 0.868337 | − | 0.495974i | \(-0.165189\pi\) |
0.462348 | + | 0.886698i | \(0.347007\pi\) | |||||||
\(992\) | −4.32439 | + | 4.99061i | −0.137300 | + | 0.158452i | ||||
\(993\) | −4.49439 | − | 2.88837i | −0.142625 | − | 0.0916596i | ||||
\(994\) | 0.808921 | − | 5.62617i | 0.0256574 | − | 0.178451i | ||||
\(995\) | 25.8579 | − | 16.6178i | 0.819749 | − | 0.526821i | ||||
\(996\) | 0.882849 | + | 1.93317i | 0.0279741 | + | 0.0612548i | ||||
\(997\) | 34.9557 | + | 40.3411i | 1.10706 | + | 1.27761i | 0.957365 | + | 0.288882i | \(0.0932836\pi\) |
0.149695 | + | 0.988732i | \(0.452171\pi\) | |||||||
\(998\) | −4.49705 | − | 31.2777i | −0.142352 | − | 0.990078i | ||||
\(999\) | 21.9230 | − | 48.0046i | 0.693612 | − | 1.51880i |
(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 | 46.2.c.a.41.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.f.271.1 | 10 | |||
4.3 | odd | 2 | 368.2.m.b.225.1 | 10 | |||
23.3 | even | 11 | 1058.2.a.m.1.2 | 5 | |||
23.9 | even | 11 | inner | 46.2.c.a.9.1 | ✓ | 10 | |
23.20 | odd | 22 | 1058.2.a.l.1.2 | 5 | |||
69.20 | even | 22 | 9522.2.a.bu.1.1 | 5 | |||
69.26 | odd | 22 | 9522.2.a.bp.1.5 | 5 | |||
69.32 | odd | 22 | 414.2.i.f.55.1 | 10 | |||
92.3 | odd | 22 | 8464.2.a.bx.1.4 | 5 | |||
92.43 | even | 22 | 8464.2.a.bw.1.4 | 5 | |||
92.55 | odd | 22 | 368.2.m.b.193.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
46.2.c.a.9.1 | ✓ | 10 | 23.9 | even | 11 | inner | |
46.2.c.a.41.1 | yes | 10 | 1.1 | even | 1 | trivial | |
368.2.m.b.193.1 | 10 | 92.55 | odd | 22 | |||
368.2.m.b.225.1 | 10 | 4.3 | odd | 2 | |||
414.2.i.f.55.1 | 10 | 69.32 | odd | 22 | |||
414.2.i.f.271.1 | 10 | 3.2 | odd | 2 | |||
1058.2.a.l.1.2 | 5 | 23.20 | odd | 22 | |||
1058.2.a.m.1.2 | 5 | 23.3 | even | 11 | |||
8464.2.a.bw.1.4 | 5 | 92.43 | even | 22 | |||
8464.2.a.bx.1.4 | 5 | 92.3 | odd | 22 | |||
9522.2.a.bp.1.5 | 5 | 69.26 | odd | 22 | |||
9522.2.a.bu.1.1 | 5 | 69.20 | even | 22 |