Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), not 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + x^{14} + 4x^{12} + 12x^{10} + 16x^{8} + 48x^{6} + 64x^{4} + 64x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{11} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.12 | ||
Root | \(0.842022 + 1.13622i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.d.299.11 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.842022 | + | 1.13622i | 0.595399 | + | 0.803430i | ||||
\(3\) | −0.218455 | − | 1.71822i | −0.126125 | − | 0.992014i | ||||
\(4\) | −0.581998 | + | 1.91345i | −0.290999 | + | 0.956723i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.76833 | − | 1.69499i | 0.721919 | − | 0.691977i | ||||
\(7\) | −3.64426 | −1.37740 | −0.688701 | − | 0.725045i | \(-0.741819\pi\) | ||||
−0.688701 | + | 0.725045i | \(0.741819\pi\) | |||||||
\(8\) | −2.66415 | + | 0.949886i | −0.941921 | + | 0.335835i | ||||
\(9\) | −2.90455 | + | 0.750707i | −0.968185 | + | 0.250236i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 5.07403i | − | 1.52988i | −0.644103 | − | 0.764938i | \(-0.722769\pi\) | ||
0.644103 | − | 0.764938i | \(-0.277231\pi\) | |||||||
\(12\) | 3.41486 | + | 0.581998i | 0.985786 | + | 0.168008i | ||||
\(13\) | −1.70594 | −0.473142 | −0.236571 | − | 0.971614i | \(-0.576024\pi\) | ||||
−0.236571 | + | 0.971614i | \(0.576024\pi\) | |||||||
\(14\) | −3.06855 | − | 4.14069i | −0.820105 | − | 1.10665i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.32256 | − | 2.22724i | −0.830639 | − | 0.556811i | ||||
\(17\) | −4.08117 | −0.989830 | −0.494915 | − | 0.868941i | \(-0.664801\pi\) | ||||
−0.494915 | + | 0.868941i | \(0.664801\pi\) | |||||||
\(18\) | −3.29867 | − | 2.66811i | −0.777504 | − | 0.628878i | ||||
\(19\) | 1.26422 | 0.290033 | 0.145016 | − | 0.989429i | \(-0.453676\pi\) | ||||
0.145016 | + | 0.989429i | \(0.453676\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.796108 | + | 6.26164i | 0.173725 | + | 1.36640i | ||||
\(22\) | 5.76522 | − | 4.27244i | 1.22915 | − | 0.910888i | ||||
\(23\) | − | 4.70066i | − | 0.980156i | −0.871679 | − | 0.490078i | \(-0.836968\pi\) | ||
0.871679 | − | 0.490078i | \(-0.163032\pi\) | |||||||
\(24\) | 2.21411 | + | 4.37009i | 0.451953 | + | 0.892042i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.43644 | − | 1.93832i | −0.281709 | − | 0.380137i | ||||
\(27\) | 1.92439 | + | 4.82667i | 0.370350 | + | 0.928892i | ||||
\(28\) | 2.12095 | − | 6.97311i | 0.400823 | − | 1.31779i | ||||
\(29\) | 1.06377 | 0.197537 | 0.0987683 | − | 0.995110i | \(-0.468510\pi\) | ||||
0.0987683 | + | 0.995110i | \(0.468510\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.86950i | 0.874588i | 0.899318 | + | 0.437294i | \(0.144063\pi\) | ||||
−0.899318 | + | 0.437294i | \(0.855937\pi\) | |||||||
\(32\) | −0.267024 | − | 5.65055i | −0.0472036 | − | 0.998885i | ||||
\(33\) | −8.71829 | + | 1.10845i | −1.51766 | + | 0.192956i | ||||
\(34\) | −3.43644 | − | 4.63712i | −0.589344 | − | 0.795259i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.254006 | − | 5.99462i | 0.0423344 | − | 0.999103i | ||||
\(37\) | −7.56830 | −1.24422 | −0.622110 | − | 0.782930i | \(-0.713724\pi\) | ||||
−0.622110 | + | 0.782930i | \(0.713724\pi\) | |||||||
\(38\) | 1.06450 | + | 1.43644i | 0.172685 | + | 0.233021i | ||||
\(39\) | 0.372671 | + | 2.93118i | 0.0596751 | + | 0.469364i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.50141i | 0.234482i | 0.993104 | + | 0.117241i | \(0.0374049\pi\) | ||||
−0.993104 | + | 0.117241i | \(0.962595\pi\) | |||||||
\(42\) | −6.44427 | + | 6.17700i | −0.994373 | + | 0.953131i | ||||
\(43\) | 3.43644i | 0.524052i | 0.965061 | + | 0.262026i | \(0.0843906\pi\) | ||||
−0.965061 | + | 0.262026i | \(0.915609\pi\) | |||||||
\(44\) | 9.70888 | + | 2.95307i | 1.46367 | + | 0.445193i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.34099 | − | 3.95806i | 0.787486 | − | 0.583584i | ||||
\(47\) | − | 10.9176i | − | 1.59249i | −0.604975 | − | 0.796245i | \(-0.706817\pi\) | ||
0.604975 | − | 0.796245i | \(-0.293183\pi\) | |||||||
\(48\) | −3.10106 | + | 6.19543i | −0.447600 | + | 0.894234i | ||||
\(49\) | 6.28066 | 0.897237 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.891553 | + | 7.01235i | 0.124842 | + | 0.981926i | ||||
\(52\) | 0.992853 | − | 3.26422i | 0.137684 | − | 0.452666i | ||||
\(53\) | 8.87288i | 1.21878i | 0.792869 | + | 0.609392i | \(0.208586\pi\) | ||||
−0.792869 | + | 0.609392i | \(0.791414\pi\) | |||||||
\(54\) | −3.86378 | + | 6.25070i | −0.525794 | + | 0.850612i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 9.70888 | − | 3.46163i | 1.29740 | − | 0.462580i | ||||
\(57\) | −0.276176 | − | 2.17221i | −0.0365804 | − | 0.287717i | ||||
\(58\) | 0.895716 | + | 1.20868i | 0.117613 | + | 0.158707i | ||||
\(59\) | − | 0.788328i | − | 0.102632i | −0.998682 | − | 0.0513158i | \(-0.983658\pi\) | ||
0.998682 | − | 0.0513158i | \(-0.0163415\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.627594i | 0.0803552i | 0.999193 | + | 0.0401776i | \(0.0127924\pi\) | ||||
−0.999193 | + | 0.0401776i | \(0.987208\pi\) | |||||||
\(62\) | −5.53283 | + | 4.10023i | −0.702670 | + | 0.520730i | ||||
\(63\) | 10.5850 | − | 2.73578i | 1.33358 | − | 0.344675i | ||||
\(64\) | 6.19543 | − | 5.06128i | 0.774429 | − | 0.632661i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.60043 | − | 8.97257i | −1.05864 | − | 1.10445i | ||||
\(67\) | − | 4.18178i | − | 0.510886i | −0.966824 | − | 0.255443i | \(-0.917779\pi\) | ||
0.966824 | − | 0.255443i | \(-0.0822213\pi\) | |||||||
\(68\) | 2.37523 | − | 7.80911i | 0.288040 | − | 0.946994i | ||||
\(69\) | −8.07677 | + | 1.02688i | −0.972329 | + | 0.123622i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.21689 | −0.737810 | −0.368905 | − | 0.929467i | \(-0.620267\pi\) | ||||
−0.368905 | + | 0.929467i | \(0.620267\pi\) | |||||||
\(72\) | 7.02510 | − | 4.75900i | 0.827915 | − | 0.560853i | ||||
\(73\) | − | 4.21689i | − | 0.493550i | −0.969073 | − | 0.246775i | \(-0.920629\pi\) | ||
0.969073 | − | 0.246775i | \(-0.0793709\pi\) | |||||||
\(74\) | −6.37267 | − | 8.59926i | −0.740808 | − | 0.999644i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.735776 | + | 2.41903i | −0.0843993 | + | 0.277481i | ||||
\(77\) | 18.4911i | 2.10726i | ||||||||
\(78\) | −3.01667 | + | 2.89155i | −0.341571 | + | 0.327404i | ||||
\(79\) | 0.992853i | 0.111705i | 0.998439 | + | 0.0558524i | \(0.0177876\pi\) | ||||
−0.998439 | + | 0.0558524i | \(0.982212\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.87288 | − | 4.36094i | 0.874764 | − | 0.484549i | ||||
\(82\) | −1.70594 | + | 1.26422i | −0.188389 | + | 0.139610i | ||||
\(83\) | 7.72544 | 0.847977 | 0.423989 | − | 0.905668i | \(-0.360630\pi\) | ||||
0.423989 | + | 0.905668i | \(0.360630\pi\) | |||||||
\(84\) | −12.4447 | − | 2.12095i | −1.35782 | − | 0.231415i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.90455 | + | 2.89356i | −0.421039 | + | 0.312020i | ||||
\(87\) | −0.232385 | − | 1.82779i | −0.0249143 | − | 0.195959i | ||||
\(88\) | 4.81975 | + | 13.5180i | 0.513787 | + | 1.44102i | ||||
\(89\) | − | 11.5742i | − | 1.22687i | −0.789747 | − | 0.613433i | \(-0.789788\pi\) | ||
0.789747 | − | 0.613433i | \(-0.210212\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.21689 | 0.651708 | ||||||||
\(92\) | 8.99447 | + | 2.73578i | 0.937738 | + | 0.285224i | ||||
\(93\) | 8.36687 | − | 1.06377i | 0.867604 | − | 0.110308i | ||||
\(94\) | 12.4048 | − | 9.19282i | 1.27945 | − | 0.948167i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −9.65055 | + | 1.69320i | −0.984955 | + | 0.172811i | ||||
\(97\) | 7.40133i | 0.751491i | 0.926723 | + | 0.375745i | \(0.122613\pi\) | ||||
−0.926723 | + | 0.375745i | \(0.877387\pi\) | |||||||
\(98\) | 5.28845 | + | 7.13622i | 0.534215 | + | 0.720867i | ||||
\(99\) | 3.80911 | + | 14.7378i | 0.382830 | + | 1.48120i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 10.1535 | 1.01031 | 0.505157 | − | 0.863027i | \(-0.331434\pi\) | ||||
0.505157 | + | 0.863027i | \(0.331434\pi\) | |||||||
\(102\) | −7.21688 | + | 6.91756i | −0.714577 | + | 0.684940i | ||||
\(103\) | −15.5400 | −1.53120 | −0.765599 | − | 0.643318i | \(-0.777557\pi\) | ||||
−0.765599 | + | 0.643318i | \(0.777557\pi\) | |||||||
\(104\) | 4.54489 | − | 1.62045i | 0.445663 | − | 0.158898i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.0816 | + | 7.47116i | −0.979207 | + | 0.725663i | ||||
\(107\) | 14.8707 | 1.43760 | 0.718801 | − | 0.695216i | \(-0.244691\pi\) | ||||
0.718801 | + | 0.695216i | \(0.244691\pi\) | |||||||
\(108\) | −10.3556 | + | 0.873117i | −0.996464 | + | 0.0840157i | ||||
\(109\) | 10.5376i | 1.00932i | 0.863319 | + | 0.504659i | \(0.168382\pi\) | ||||
−0.863319 | + | 0.504659i | \(0.831618\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.65333 | + | 13.0040i | 0.156927 | + | 1.23428i | ||||
\(112\) | 12.1083 | + | 8.11667i | 1.14412 | + | 0.766953i | ||||
\(113\) | 9.94353 | 0.935409 | 0.467704 | − | 0.883885i | \(-0.345081\pi\) | ||||
0.467704 | + | 0.883885i | \(0.345081\pi\) | |||||||
\(114\) | 2.23557 | − | 2.14285i | 0.209380 | − | 0.200696i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.619110 | + | 2.03546i | −0.0574830 | + | 0.188988i | ||||
\(117\) | 4.95499 | − | 1.28066i | 0.458089 | − | 0.118397i | ||||
\(118\) | 0.895716 | − | 0.663790i | 0.0824573 | − | 0.0611068i | ||||
\(119\) | 14.8729 | 1.36339 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.7458 | −1.34052 | ||||||||
\(122\) | −0.713086 | + | 0.528448i | −0.0645598 | + | 0.0478435i | ||||
\(123\) | 2.57976 | − | 0.327992i | 0.232609 | − | 0.0295740i | ||||
\(124\) | −9.31753 | − | 2.83404i | −0.836739 | − | 0.254504i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 12.0212 | + | 9.72328i | 1.07094 | + | 0.866219i | ||||
\(127\) | 5.62997 | 0.499579 | 0.249790 | − | 0.968300i | \(-0.419639\pi\) | ||||
0.249790 | + | 0.968300i | \(0.419639\pi\) | |||||||
\(128\) | 10.9674 | + | 2.77767i | 0.969393 | + | 0.245514i | ||||
\(129\) | 5.90455 | − | 0.750707i | 0.519867 | − | 0.0660961i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 1.66215i | − | 0.145223i | −0.997360 | − | 0.0726113i | \(-0.976867\pi\) | ||
0.997360 | − | 0.0726113i | \(-0.0231333\pi\) | |||||||
\(132\) | 2.95307 | − | 17.3271i | 0.257032 | − | 1.50813i | ||||
\(133\) | −4.60717 | −0.399492 | ||||||||
\(134\) | 4.75143 | − | 3.52115i | 0.410461 | − | 0.304181i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 10.8729 | − | 3.87665i | 0.932342 | − | 0.332420i | ||||
\(137\) | −13.3554 | −1.14103 | −0.570515 | − | 0.821287i | \(-0.693256\pi\) | ||||
−0.570515 | + | 0.821287i | \(0.693256\pi\) | |||||||
\(138\) | −7.96758 | − | 8.31234i | −0.678246 | − | 0.707593i | ||||
\(139\) | −14.3540 | −1.21749 | −0.608745 | − | 0.793366i | \(-0.708327\pi\) | ||||
−0.608745 | + | 0.793366i | \(0.708327\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −18.7588 | + | 2.38500i | −1.57977 | + | 0.200853i | ||||
\(142\) | −5.23476 | − | 7.06377i | −0.439291 | − | 0.592778i | ||||
\(143\) | 8.65598i | 0.723850i | ||||||||
\(144\) | 11.3226 | + | 3.97488i | 0.943546 | + | 0.331240i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.79132 | − | 3.55072i | 0.396533 | − | 0.293859i | ||||
\(147\) | −1.37204 | − | 10.7916i | −0.113164 | − | 0.890072i | ||||
\(148\) | 4.40473 | − | 14.4815i | 0.362067 | − | 1.19037i | ||||
\(149\) | −18.2742 | −1.49708 | −0.748540 | − | 0.663089i | \(-0.769245\pi\) | ||||
−0.748540 | + | 0.663089i | \(0.769245\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 16.7652i | − | 1.36433i | −0.731197 | − | 0.682166i | \(-0.761038\pi\) | ||
0.731197 | − | 0.682166i | \(-0.238962\pi\) | |||||||
\(152\) | −3.36809 | + | 1.20087i | −0.273188 | + | 0.0974033i | ||||
\(153\) | 11.8540 | − | 3.06377i | 0.958339 | − | 0.247691i | ||||
\(154\) | −21.0100 | + | 15.5699i | −1.69303 | + | 1.25466i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −5.82555 | − | 0.992853i | −0.466417 | − | 0.0794919i | ||||
\(157\) | −6.31311 | −0.503841 | −0.251920 | − | 0.967748i | \(-0.581062\pi\) | ||||
−0.251920 | + | 0.967748i | \(0.581062\pi\) | |||||||
\(158\) | −1.12810 | + | 0.836004i | −0.0897469 | + | 0.0665089i | ||||
\(159\) | 15.2455 | − | 1.93832i | 1.20905 | − | 0.153719i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 17.1305i | 1.35007i | ||||||||
\(162\) | 11.5841 | + | 5.27332i | 0.910135 | + | 0.414311i | ||||
\(163\) | 2.69110i | 0.210783i | 0.994431 | + | 0.105391i | \(0.0336096\pi\) | ||||
−0.994431 | + | 0.105391i | \(0.966390\pi\) | |||||||
\(164\) | −2.87288 | − | 0.873820i | −0.224334 | − | 0.0682339i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.50499 | + | 8.77781i | 0.504885 | + | 0.681290i | ||||
\(167\) | − | 16.6633i | − | 1.28945i | −0.764416 | − | 0.644723i | \(-0.776973\pi\) | ||
0.764416 | − | 0.644723i | \(-0.223027\pi\) | |||||||
\(168\) | −8.06880 | − | 15.9258i | −0.622522 | − | 1.22870i | ||||
\(169\) | −10.0898 | −0.776136 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.67201 | + | 0.949062i | −0.280805 | + | 0.0725766i | ||||
\(172\) | −6.57544 | − | 2.00000i | −0.501373 | − | 0.152499i | ||||
\(173\) | − | 11.7458i | − | 0.893013i | −0.894780 | − | 0.446507i | \(-0.852668\pi\) | ||
0.894780 | − | 0.446507i | \(-0.147332\pi\) | |||||||
\(174\) | 1.88110 | − | 1.80308i | 0.142605 | − | 0.136691i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.3011 | + | 16.8587i | −0.851852 | + | 1.27078i | ||||
\(177\) | −1.35452 | + | 0.172214i | −0.101812 | + | 0.0129444i | ||||
\(178\) | 13.1509 | − | 9.74575i | 0.985700 | − | 0.730475i | ||||
\(179\) | 0.466861i | 0.0348948i | 0.999848 | + | 0.0174474i | \(0.00555396\pi\) | ||||
−0.999848 | + | 0.0174474i | \(0.994446\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 16.5628i | − | 1.23110i | −0.788098 | − | 0.615550i | \(-0.788934\pi\) | ||
0.788098 | − | 0.615550i | \(-0.211066\pi\) | |||||||
\(182\) | 5.23476 | + | 7.06377i | 0.388026 | + | 0.523601i | ||||
\(183\) | 1.07834 | − | 0.137101i | 0.0797135 | − | 0.0101348i | ||||
\(184\) | 4.46509 | + | 12.5233i | 0.329171 | + | 0.923229i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 8.25377 | + | 8.61090i | 0.605196 | + | 0.631382i | ||||
\(187\) | 20.7080i | 1.51432i | ||||||||
\(188\) | 20.8902 | + | 6.35399i | 1.52357 | + | 0.463413i | ||||
\(189\) | −7.01300 | − | 17.5896i | −0.510121 | − | 1.27946i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.49110 | −0.469679 | −0.234840 | − | 0.972034i | \(-0.575456\pi\) | ||||
−0.234840 | + | 0.972034i | \(0.575456\pi\) | |||||||
\(192\) | −10.0498 | − | 9.53945i | −0.725283 | − | 0.688451i | ||||
\(193\) | 11.4013i | 0.820685i | 0.911931 | + | 0.410343i | \(0.134591\pi\) | ||||
−0.911931 | + | 0.410343i | \(0.865409\pi\) | |||||||
\(194\) | −8.40954 | + | 6.23208i | −0.603770 | + | 0.447437i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.65533 | + | 12.0177i | −0.261095 | + | 0.858408i | ||||
\(197\) | 3.56091i | 0.253704i | 0.991922 | + | 0.126852i | \(0.0404874\pi\) | ||||
−0.991922 | + | 0.126852i | \(0.959513\pi\) | |||||||
\(198\) | −13.5380 | + | 16.7375i | −0.962106 | + | 1.18948i | ||||
\(199\) | 4.40473i | 0.312243i | 0.987738 | + | 0.156122i | \(0.0498992\pi\) | ||||
−0.987738 | + | 0.156122i | \(0.950101\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.18522 | + | 0.913531i | −0.506806 | + | 0.0644355i | ||||
\(202\) | 8.54950 | + | 11.5367i | 0.601541 | + | 0.811717i | ||||
\(203\) | −3.87665 | −0.272087 | ||||||||
\(204\) | −13.9366 | − | 2.37523i | −0.975760 | − | 0.166300i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −13.0850 | − | 17.6568i | −0.911674 | − | 1.23021i | ||||
\(207\) | 3.52882 | + | 13.6533i | 0.245270 | + | 0.948972i | ||||
\(208\) | 5.66808 | + | 3.79954i | 0.393011 | + | 0.263451i | ||||
\(209\) | − | 6.41471i | − | 0.443715i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.1371 | −1.11092 | −0.555462 | − | 0.831542i | \(-0.687459\pi\) | ||||
−0.555462 | + | 0.831542i | \(0.687459\pi\) | |||||||
\(212\) | −16.9778 | − | 5.16400i | −1.16604 | − | 0.354665i | ||||
\(213\) | 1.35811 | + | 10.6820i | 0.0930563 | + | 0.731918i | ||||
\(214\) | 12.5214 | + | 16.8964i | 0.855947 | + | 1.15501i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −9.71166 | − | 11.0310i | −0.660795 | − | 0.750566i | ||||
\(217\) | − | 17.7458i | − | 1.20466i | ||||||
\(218\) | −11.9730 | + | 8.87288i | −0.810916 | + | 0.600947i | ||||
\(219\) | −7.24555 | + | 0.921202i | −0.489609 | + | 0.0622490i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.96224 | 0.468331 | ||||||||
\(222\) | −13.3833 | + | 12.8282i | −0.898226 | + | 0.860972i | ||||
\(223\) | 6.09474 | 0.408134 | 0.204067 | − | 0.978957i | \(-0.434584\pi\) | ||||
0.204067 | + | 0.978957i | \(0.434584\pi\) | |||||||
\(224\) | 0.973105 | + | 20.5921i | 0.0650183 | + | 1.37587i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.37267 | + | 11.2981i | 0.556942 | + | 0.751535i | ||||
\(227\) | 20.4673 | 1.35846 | 0.679230 | − | 0.733925i | \(-0.262314\pi\) | ||||
0.679230 | + | 0.733925i | \(0.262314\pi\) | |||||||
\(228\) | 4.31715 | + | 0.735776i | 0.285910 | + | 0.0487279i | ||||
\(229\) | − | 26.4728i | − | 1.74937i | −0.484693 | − | 0.874684i | \(-0.661069\pi\) | ||
0.484693 | − | 0.874684i | \(-0.338931\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 31.7718 | − | 4.03947i | 2.09043 | − | 0.265778i | ||||
\(232\) | −2.83404 | + | 1.01046i | −0.186064 | + | 0.0663398i | ||||
\(233\) | −24.3773 | −1.59701 | −0.798504 | − | 0.601989i | \(-0.794375\pi\) | ||||
−0.798504 | + | 0.601989i | \(0.794375\pi\) | |||||||
\(234\) | 5.62733 | + | 4.55163i | 0.367870 | + | 0.297549i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.50842 | + | 0.458805i | 0.0981901 | + | 0.0298657i | ||||
\(237\) | 1.70594 | − | 0.216894i | 0.110813 | − | 0.0140888i | ||||
\(238\) | 12.5233 | + | 16.8989i | 0.811764 | + | 1.09539i | ||||
\(239\) | −5.47155 | −0.353925 | −0.176963 | − | 0.984218i | \(-0.556627\pi\) | ||||
−0.176963 | + | 0.984218i | \(0.556627\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 24.6446 | 1.58750 | 0.793750 | − | 0.608244i | \(-0.208126\pi\) | ||||
0.793750 | + | 0.608244i | \(0.208126\pi\) | |||||||
\(242\) | −12.4162 | − | 16.7544i | −0.798147 | − | 1.07702i | ||||
\(243\) | −9.21292 | − | 12.5747i | −0.591009 | − | 0.806665i | ||||
\(244\) | −1.20087 | − | 0.365259i | −0.0768777 | − | 0.0233833i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 2.54489 | + | 2.65500i | 0.162256 | + | 0.169277i | ||||
\(247\) | −2.15669 | −0.137227 | ||||||||
\(248\) | −4.62547 | − | 12.9731i | −0.293718 | − | 0.823793i | ||||
\(249\) | −1.68766 | − | 13.2740i | −0.106951 | − | 0.841205i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.74973i | 0.110442i | 0.998474 | + | 0.0552210i | \(0.0175863\pi\) | ||||
−0.998474 | + | 0.0552210i | \(0.982414\pi\) | |||||||
\(252\) | −0.925666 | + | 21.8460i | −0.0583115 | + | 1.37617i | ||||
\(253\) | −23.8513 | −1.49952 | ||||||||
\(254\) | 4.74056 | + | 6.39689i | 0.297449 | + | 0.401377i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.07877 | + | 14.8003i | 0.379923 | + | 0.925018i | ||||
\(257\) | −5.27646 | −0.329137 | −0.164568 | − | 0.986366i | \(-0.552623\pi\) | ||||
−0.164568 | + | 0.986366i | \(0.552623\pi\) | |||||||
\(258\) | 5.82473 | + | 6.07677i | 0.362632 | + | 0.378323i | ||||
\(259\) | 27.5809 | 1.71379 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.08977 | + | 0.798578i | −0.191252 | + | 0.0494307i | ||||
\(262\) | 1.88857 | − | 1.39957i | 0.116676 | − | 0.0864655i | ||||
\(263\) | 1.79043i | 0.110403i | 0.998475 | + | 0.0552014i | \(0.0175801\pi\) | ||||
−0.998475 | + | 0.0552014i | \(0.982420\pi\) | |||||||
\(264\) | 22.1740 | − | 11.2345i | 1.36471 | − | 0.691433i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.87934 | − | 5.23476i | −0.237857 | − | 0.320964i | ||||
\(267\) | −19.8871 | + | 2.52845i | −1.21707 | + | 0.154739i | ||||
\(268\) | 8.00161 | + | 2.43379i | 0.488776 | + | 0.148667i | ||||
\(269\) | 18.7080 | 1.14065 | 0.570323 | − | 0.821420i | \(-0.306818\pi\) | ||||
0.570323 | + | 0.821420i | \(0.306818\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 24.8441i | − | 1.50917i | −0.656200 | − | 0.754587i | \(-0.727837\pi\) | ||
0.656200 | − | 0.754587i | \(-0.272163\pi\) | |||||||
\(272\) | 13.5599 | + | 9.08977i | 0.822192 | + | 0.551148i | ||||
\(273\) | −1.35811 | − | 10.6820i | −0.0821967 | − | 0.646503i | ||||
\(274\) | −11.2455 | − | 15.1747i | −0.679368 | − | 0.916737i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.73578 | − | 16.0521i | 0.164674 | − | 0.966224i | ||||
\(277\) | 29.2030 | 1.75464 | 0.877319 | − | 0.479908i | \(-0.159330\pi\) | ||||
0.877319 | + | 0.479908i | \(0.159330\pi\) | |||||||
\(278\) | −12.0864 | − | 16.3093i | −0.724893 | − | 0.978168i | ||||
\(279\) | −3.65557 | − | 14.1437i | −0.218853 | − | 0.846763i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 22.9856i | − | 1.37121i | −0.727975 | − | 0.685604i | \(-0.759538\pi\) | ||
0.727975 | − | 0.685604i | \(-0.240462\pi\) | |||||||
\(282\) | −18.5052 | − | 19.3059i | −1.10197 | − | 1.14965i | ||||
\(283\) | − | 2.03511i | − | 0.120975i | −0.998169 | − | 0.0604875i | \(-0.980734\pi\) | ||
0.998169 | − | 0.0604875i | \(-0.0192655\pi\) | |||||||
\(284\) | 3.61822 | − | 11.8957i | 0.214702 | − | 0.705880i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.83511 | + | 7.28853i | −0.581562 | + | 0.430980i | ||||
\(287\) | − | 5.47155i | − | 0.322975i | ||||||
\(288\) | 5.01749 | + | 16.2119i | 0.295659 | + | 0.955294i | ||||
\(289\) | −0.344017 | −0.0202363 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.7171 | − | 1.61686i | 0.745490 | − | 0.0947818i | ||||
\(292\) | 8.06880 | + | 2.45422i | 0.472191 | + | 0.143623i | ||||
\(293\) | − | 6.00000i | − | 0.350524i | −0.984522 | − | 0.175262i | \(-0.943923\pi\) | ||
0.984522 | − | 0.175262i | \(-0.0560772\pi\) | |||||||
\(294\) | 11.1063 | − | 10.6457i | 0.647733 | − | 0.620868i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 20.1631 | − | 7.18902i | 1.17196 | − | 0.417853i | ||||
\(297\) | 24.4906 | − | 9.76443i | 1.42109 | − | 0.566590i | ||||
\(298\) | −15.3873 | − | 20.7635i | −0.891361 | − | 1.20280i | ||||
\(299\) | 8.01905i | 0.463753i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 12.5233i | − | 0.721830i | ||||||
\(302\) | 19.0490 | − | 14.1167i | 1.09615 | − | 0.812323i | ||||
\(303\) | −2.21809 | − | 17.4460i | −0.127426 | − | 1.00225i | ||||
\(304\) | −4.20046 | − | 2.81574i | −0.240913 | − | 0.161494i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 13.4624 | + | 10.8890i | 0.769597 | + | 0.622483i | ||||
\(307\) | − | 19.0547i | − | 1.08751i | −0.839245 | − | 0.543753i | \(-0.817003\pi\) | ||
0.839245 | − | 0.543753i | \(-0.182997\pi\) | |||||||
\(308\) | −35.3817 | − | 10.7618i | −2.01606 | − | 0.613209i | ||||
\(309\) | 3.39478 | + | 26.7011i | 0.193122 | + | 1.51897i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −26.0902 | −1.47944 | −0.739719 | − | 0.672916i | \(-0.765042\pi\) | ||||
−0.739719 | + | 0.672916i | \(0.765042\pi\) | |||||||
\(312\) | −3.77714 | − | 7.45511i | −0.213838 | − | 0.422063i | ||||
\(313\) | 20.1795i | 1.14062i | 0.821431 | + | 0.570308i | \(0.193176\pi\) | ||||
−0.821431 | + | 0.570308i | \(0.806824\pi\) | |||||||
\(314\) | −5.31577 | − | 7.17309i | −0.299987 | − | 0.404801i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.89977 | − | 0.577838i | −0.106871 | − | 0.0325060i | ||||
\(317\) | 7.81598i | 0.438989i | 0.975614 | + | 0.219495i | \(0.0704408\pi\) | ||||
−0.975614 | + | 0.219495i | \(0.929559\pi\) | |||||||
\(318\) | 15.0395 | + | 15.6902i | 0.843371 | + | 0.879863i | ||||
\(319\) | − | 5.39759i | − | 0.302207i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.24857 | − | 25.5511i | −0.181318 | − | 1.42612i | ||||
\(322\) | −19.4640 | + | 14.4242i | −1.08469 | + | 0.803830i | ||||
\(323\) | −5.15952 | −0.287083 | ||||||||
\(324\) | 3.76243 | + | 17.6024i | 0.209024 | + | 0.977911i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.05768 | + | 2.26596i | −0.169349 | + | 0.125500i | ||||
\(327\) | 18.1059 | − | 2.30199i | 1.00126 | − | 0.127300i | ||||
\(328\) | −1.42617 | − | 4.00000i | −0.0787472 | − | 0.220863i | ||||
\(329\) | 39.7865i | 2.19350i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0424 | −0.551982 | −0.275991 | − | 0.961160i | \(-0.589006\pi\) | ||||
−0.275991 | + | 0.961160i | \(0.589006\pi\) | |||||||
\(332\) | −4.49619 | + | 14.7822i | −0.246760 | + | 0.811279i | ||||
\(333\) | 21.9825 | − | 5.68157i | 1.20464 | − | 0.311348i | ||||
\(334\) | 18.9332 | − | 14.0309i | 1.03598 | − | 0.767735i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 11.3011 | − | 22.5778i | 0.616525 | − | 1.23172i | ||||
\(337\) | 17.8733i | 0.973620i | 0.873508 | + | 0.486810i | \(0.161840\pi\) | ||||
−0.873508 | + | 0.486810i | \(0.838160\pi\) | |||||||
\(338\) | −8.49581 | − | 11.4642i | −0.462111 | − | 0.623571i | ||||
\(339\) | −2.17221 | − | 17.0852i | −0.117978 | − | 0.927939i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 24.7080 | 1.33801 | ||||||||
\(342\) | −4.17026 | − | 3.37308i | −0.225502 | − | 0.182395i | ||||
\(343\) | 2.62146 | 0.141546 | ||||||||
\(344\) | −3.26422 | − | 9.15520i | −0.175995 | − | 0.493615i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.3458 | − | 9.89018i | 0.717473 | − | 0.531700i | ||||
\(347\) | −34.9886 | −1.87829 | −0.939143 | − | 0.343525i | \(-0.888379\pi\) | ||||
−0.939143 | + | 0.343525i | \(0.888379\pi\) | |||||||
\(348\) | 3.63262 | + | 0.619110i | 0.194729 | + | 0.0331878i | ||||
\(349\) | 8.24993i | 0.441609i | 0.975318 | + | 0.220804i | \(0.0708682\pi\) | ||||
−0.975318 | + | 0.220804i | \(0.929132\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.28290 | − | 8.23400i | −0.175228 | − | 0.439498i | ||||
\(352\) | −28.6710 | + | 1.35489i | −1.52817 | + | 0.0722157i | ||||
\(353\) | 0.935042 | 0.0497673 | 0.0248836 | − | 0.999690i | \(-0.492078\pi\) | ||||
0.0248836 | + | 0.999690i | \(0.492078\pi\) | |||||||
\(354\) | −1.33621 | − | 1.39403i | −0.0710188 | − | 0.0740917i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 22.1467 | + | 6.73618i | 1.17377 | + | 0.357017i | ||||
\(357\) | −3.24906 | − | 25.5549i | −0.171958 | − | 1.35251i | ||||
\(358\) | −0.530457 | + | 0.393107i | −0.0280355 | + | 0.0207763i | ||||
\(359\) | −32.5813 | −1.71957 | −0.859787 | − | 0.510653i | \(-0.829404\pi\) | ||||
−0.859787 | + | 0.510653i | \(0.829404\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.4017 | −0.915881 | ||||||||
\(362\) | 18.8190 | − | 13.9462i | 0.989103 | − | 0.732997i | ||||
\(363\) | 3.22128 | + | 25.3364i | 0.169074 | + | 1.32982i | ||||
\(364\) | −3.61822 | + | 11.8957i | −0.189646 | + | 0.623504i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.06377 | + | 1.10980i | 0.0556040 | + | 0.0580100i | ||||
\(367\) | −0.791919 | −0.0413378 | −0.0206689 | − | 0.999786i | \(-0.506580\pi\) | ||||
−0.0206689 | + | 0.999786i | \(0.506580\pi\) | |||||||
\(368\) | −10.4695 | + | 15.6182i | −0.545762 | + | 0.814156i | ||||
\(369\) | −1.12712 | − | 4.36094i | −0.0586757 | − | 0.227022i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 32.3351i | − | 1.67876i | ||||||
\(372\) | −2.83404 | + | 16.6287i | −0.146938 | + | 0.862157i | ||||
\(373\) | 18.7335 | 0.969982 | 0.484991 | − | 0.874519i | \(-0.338823\pi\) | ||||
0.484991 | + | 0.874519i | \(0.338823\pi\) | |||||||
\(374\) | −23.5289 | + | 17.4366i | −1.21665 | + | 0.901624i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.3704 | + | 29.0861i | 0.534814 | + | 1.50000i | ||||
\(377\) | −1.81472 | −0.0934630 | ||||||||
\(378\) | 14.0806 | − | 22.7792i | 0.724229 | − | 1.17164i | ||||
\(379\) | −8.88244 | −0.456260 | −0.228130 | − | 0.973631i | \(-0.573261\pi\) | ||||
−0.228130 | + | 0.973631i | \(0.573261\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.22990 | − | 9.67352i | −0.0630095 | − | 0.495590i | ||||
\(382\) | −5.46565 | − | 7.37532i | −0.279647 | − | 0.377354i | ||||
\(383\) | − | 3.48418i | − | 0.178033i | −0.996030 | − | 0.0890167i | \(-0.971628\pi\) | ||
0.996030 | − | 0.0890167i | \(-0.0283724\pi\) | |||||||
\(384\) | 2.37676 | − | 19.4512i | 0.121288 | − | 0.992617i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −12.9544 | + | 9.60017i | −0.659363 | + | 0.488636i | ||||
\(387\) | −2.57976 | − | 9.98132i | −0.131137 | − | 0.507379i | ||||
\(388\) | −14.1620 | − | 4.30756i | −0.718969 | − | 0.218683i | ||||
\(389\) | 24.8027 | 1.25754 | 0.628772 | − | 0.777590i | \(-0.283558\pi\) | ||||
0.628772 | + | 0.777590i | \(0.283558\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.1842i | 0.970188i | ||||||||
\(392\) | −16.7326 | + | 5.96591i | −0.845126 | + | 0.301324i | ||||
\(393\) | −2.85594 | + | 0.363105i | −0.144063 | + | 0.0183162i | ||||
\(394\) | −4.04598 | + | 2.99837i | −0.203834 | + | 0.151055i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −30.4169 | − | 1.28883i | −1.52851 | − | 0.0647664i | ||||
\(397\) | 15.5873 | 0.782306 | 0.391153 | − | 0.920326i | \(-0.372076\pi\) | ||||
0.391153 | + | 0.920326i | \(0.372076\pi\) | |||||||
\(398\) | −5.00475 | + | 3.70888i | −0.250865 | + | 0.185909i | ||||
\(399\) | 1.00646 | + | 7.91612i | 0.0503860 | + | 0.396302i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 26.3852i | 1.31761i | 0.752313 | + | 0.658806i | \(0.228938\pi\) | ||||
−0.752313 | + | 0.658806i | \(0.771062\pi\) | |||||||
\(402\) | −7.08808 | − | 7.39478i | −0.353521 | − | 0.368818i | ||||
\(403\) | − | 8.30708i | − | 0.413805i | ||||||
\(404\) | −5.90934 | + | 19.4283i | −0.294001 | + | 0.966592i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.26422 | − | 4.40473i | −0.162001 | − | 0.218603i | ||||
\(407\) | 38.4017i | 1.90350i | ||||||||
\(408\) | −9.03617 | − | 17.8351i | −0.447357 | − | 0.882970i | ||||
\(409\) | 0.497143 | 0.0245821 | 0.0122911 | − | 0.999924i | \(-0.496088\pi\) | ||||
0.0122911 | + | 0.999924i | \(0.496088\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 2.91756 | + | 22.9475i | 0.143912 | + | 1.13192i | ||||
\(412\) | 9.04422 | − | 29.7349i | 0.445577 | − | 1.46493i | ||||
\(413\) | 2.87288i | 0.141365i | ||||||||
\(414\) | −12.5419 | + | 15.5059i | −0.616399 | + | 0.762075i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.455526 | + | 9.63949i | 0.0223340 | + | 0.472615i | ||||
\(417\) | 3.13570 | + | 24.6633i | 0.153556 | + | 1.20777i | ||||
\(418\) | 7.28853 | − | 5.40133i | 0.356494 | − | 0.264187i | ||||
\(419\) | − | 11.0240i | − | 0.538556i | −0.963063 | − | 0.269278i | \(-0.913215\pi\) | ||
0.963063 | − | 0.269278i | \(-0.0867850\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.0971i | 0.540840i | 0.962742 | + | 0.270420i | \(0.0871626\pi\) | ||||
−0.962742 | + | 0.270420i | \(0.912837\pi\) | |||||||
\(422\) | −13.5878 | − | 18.3353i | −0.661443 | − | 0.892549i | ||||
\(423\) | 8.19589 | + | 31.7106i | 0.398498 | + | 1.54182i | ||||
\(424\) | −8.42822 | − | 23.6387i | −0.409311 | − | 1.14800i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −10.9935 | + | 10.5376i | −0.532639 | + | 0.510548i | ||||
\(427\) | − | 2.28712i | − | 0.110681i | ||||||
\(428\) | −8.65470 | + | 28.4542i | −0.418340 | + | 1.37539i | ||||
\(429\) | 14.8729 | − | 1.89094i | 0.718069 | − | 0.0912956i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.84000 | 0.329471 | 0.164736 | − | 0.986338i | \(-0.447323\pi\) | ||||
0.164736 | + | 0.986338i | \(0.447323\pi\) | |||||||
\(432\) | 4.35625 | − | 20.3230i | 0.209590 | − | 0.977789i | ||||
\(433\) | − | 38.6378i | − | 1.85681i | −0.371567 | − | 0.928406i | \(-0.621179\pi\) | ||
0.371567 | − | 0.928406i | \(-0.378821\pi\) | |||||||
\(434\) | 20.1631 | − | 14.9423i | 0.967860 | − | 0.717254i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −20.1631 | − | 6.13285i | −0.965638 | − | 0.293710i | ||||
\(437\) | − | 5.94269i | − | 0.284277i | ||||||
\(438\) | −7.14760 | − | 7.45687i | −0.341526 | − | 0.356303i | ||||
\(439\) | 4.07908i | 0.194684i | 0.995251 | + | 0.0973420i | \(0.0310341\pi\) | ||||
−0.995251 | + | 0.0973420i | \(0.968966\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −18.2425 | + | 4.71494i | −0.868692 | + | 0.224521i | ||||
\(442\) | 5.86236 | + | 7.91064i | 0.278844 | + | 0.376271i | ||||
\(443\) | −12.7140 | −0.604059 | −0.302030 | − | 0.953299i | \(-0.597664\pi\) | ||||
−0.302030 | + | 0.953299i | \(0.597664\pi\) | |||||||
\(444\) | −25.8447 | − | 4.40473i | −1.22653 | − | 0.209039i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 5.13191 | + | 6.92498i | 0.243003 | + | 0.327907i | ||||
\(447\) | 3.99209 | + | 31.3991i | 0.188819 | + | 1.48513i | ||||
\(448\) | −22.5778 | + | 18.4447i | −1.06670 | + | 0.871428i | ||||
\(449\) | 31.2985i | 1.47707i | 0.674217 | + | 0.738533i | \(0.264481\pi\) | ||||
−0.674217 | + | 0.738533i | \(0.735519\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.61822 | 0.358728 | ||||||||
\(452\) | −5.78711 | + | 19.0264i | −0.272203 | + | 0.894927i | ||||
\(453\) | −28.8063 | + | 3.66244i | −1.35344 | + | 0.172077i | ||||
\(454\) | 17.2339 | + | 23.2554i | 0.808827 | + | 1.09143i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.79913 | + | 5.52478i | 0.131081 | + | 0.258721i | ||||
\(457\) | − | 29.1097i | − | 1.36170i | −0.732425 | − | 0.680848i | \(-0.761612\pi\) | ||
0.732425 | − | 0.680848i | \(-0.238388\pi\) | |||||||
\(458\) | 30.0789 | − | 22.2906i | 1.40549 | − | 1.04157i | ||||
\(459\) | −7.85379 | − | 19.6985i | −0.366583 | − | 0.919446i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.00687071 | 0.000320001 | 0.000160001 | − | 1.00000i | \(-0.499949\pi\) | ||||
0.000160001 | 1.00000i | \(0.499949\pi\) | ||||||||
\(462\) | 31.3423 | + | 32.6984i | 1.45817 | + | 1.52127i | ||||
\(463\) | −17.9904 | −0.836086 | −0.418043 | − | 0.908427i | \(-0.637284\pi\) | ||||
−0.418043 | + | 0.908427i | \(0.637284\pi\) | |||||||
\(464\) | −3.53443 | − | 2.36927i | −0.164082 | − | 0.109991i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.5262 | − | 27.6980i | −0.950858 | − | 1.28308i | ||||
\(467\) | 3.99927 | 0.185064 | 0.0925321 | − | 0.995710i | \(-0.470504\pi\) | ||||
0.0925321 | + | 0.995710i | \(0.470504\pi\) | |||||||
\(468\) | −0.433319 | + | 10.2265i | −0.0200302 | + | 0.472718i | ||||
\(469\) | 15.2395i | 0.703695i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.37913 | + | 10.8473i | 0.0635470 | + | 0.499817i | ||||
\(472\) | 0.748822 | + | 2.10023i | 0.0344673 | + | 0.0966708i | ||||
\(473\) | 17.4366 | 0.801735 | ||||||||
\(474\) | 1.68288 | + | 1.75570i | 0.0772971 | + | 0.0806418i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.65598 | + | 28.4585i | −0.396746 | + | 1.30439i | ||||
\(477\) | −6.66093 | − | 25.7718i | −0.304983 | − | 1.18001i | ||||
\(478\) | −4.60717 | − | 6.21689i | −0.210727 | − | 0.284354i | ||||
\(479\) | −34.1467 | −1.56020 | −0.780101 | − | 0.625654i | \(-0.784832\pi\) | ||||
−0.780101 | + | 0.625654i | \(0.784832\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.9111 | 0.588693 | ||||||||
\(482\) | 20.7513 | + | 28.0018i | 0.945197 | + | 1.27545i | ||||
\(483\) | 29.4339 | − | 3.74223i | 1.33929 | − | 0.170278i | ||||
\(484\) | 8.58200 | − | 28.2152i | 0.390091 | − | 1.28251i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 6.53011 | − | 21.0561i | 0.296212 | − | 0.955122i | ||||
\(487\) | −0.851820 | −0.0385997 | −0.0192998 | − | 0.999814i | \(-0.506144\pi\) | ||||
−0.0192998 | + | 0.999814i | \(0.506144\pi\) | |||||||
\(488\) | −0.596143 | − | 1.67201i | −0.0269861 | − | 0.0756883i | ||||
\(489\) | 4.62389 | − | 0.587884i | 0.209100 | − | 0.0265850i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.09115i | 0.274890i | 0.990509 | + | 0.137445i | \(0.0438890\pi\) | ||||
−0.990509 | + | 0.137445i | \(0.956111\pi\) | |||||||
\(492\) | −0.873820 | + | 5.12712i | −0.0393949 | + | 0.231149i | ||||
\(493\) | −4.34142 | −0.195528 | ||||||||
\(494\) | −1.81598 | − | 2.45048i | −0.0817048 | − | 0.110252i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.8456 | − | 16.1792i | 0.486980 | − | 0.726468i | ||||
\(497\) | 22.6560 | 1.01626 | ||||||||
\(498\) | 13.6612 | − | 13.0946i | 0.612171 | − | 0.586781i | ||||
\(499\) | −13.1375 | −0.588116 | −0.294058 | − | 0.955788i | \(-0.595006\pi\) | ||||
−0.294058 | + | 0.955788i | \(0.595006\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −28.6312 | + | 3.64018i | −1.27915 | + | 0.162631i | ||||
\(502\) | −1.98808 | + | 1.47331i | −0.0887324 | + | 0.0657571i | ||||
\(503\) | − | 27.6064i | − | 1.23091i | −0.788172 | − | 0.615455i | \(-0.788972\pi\) | ||
0.788172 | − | 0.615455i | \(-0.211028\pi\) | |||||||
\(504\) | −25.6013 | + | 17.3430i | −1.14037 | + | 0.772520i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −20.0833 | − | 27.1003i | −0.892812 | − | 1.20476i | ||||
\(507\) | 2.20416 | + | 17.3364i | 0.0978902 | + | 0.769938i | ||||
\(508\) | −3.27663 | + | 10.7726i | −0.145377 | + | 0.477959i | ||||
\(509\) | 5.46468 | 0.242218 | 0.121109 | − | 0.992639i | \(-0.461355\pi\) | ||||
0.121109 | + | 0.992639i | \(0.461355\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 15.3675i | 0.679817i | ||||||||
\(512\) | −11.6979 | + | 19.3690i | −0.516981 | + | 0.855997i | ||||
\(513\) | 2.43287 | + | 6.10199i | 0.107414 | + | 0.269409i | ||||
\(514\) | −4.44290 | − | 5.99523i | −0.195968 | − | 0.264438i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.00000 | + | 11.7350i | −0.0880451 | + | 0.516603i | ||||
\(517\) | −55.3960 | −2.43631 | ||||||||
\(518\) | 23.2237 | + | 31.3380i | 1.02039 | + | 1.37691i | ||||
\(519\) | −20.1818 | + | 2.56592i | −0.885882 | + | 0.112631i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 39.1312i | 1.71437i | 0.515010 | + | 0.857184i | \(0.327788\pi\) | ||||
−0.515010 | + | 0.857184i | \(0.672212\pi\) | |||||||
\(522\) | −3.50902 | − | 2.83824i | −0.153585 | − | 0.124227i | ||||
\(523\) | − | 14.3467i | − | 0.627336i | −0.949533 | − | 0.313668i | \(-0.898442\pi\) | ||
0.949533 | − | 0.313668i | \(-0.101558\pi\) | |||||||
\(524\) | 3.18043 | + | 0.967367i | 0.138938 | + | 0.0422596i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.03433 | + | 1.50758i | −0.0887009 | + | 0.0657338i | ||||
\(527\) | − | 19.8733i | − | 0.865694i | ||||||
\(528\) | 31.4358 | + | 15.7349i | 1.36807 | + | 0.684773i | ||||
\(529\) | 0.903770 | 0.0392944 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.591804 | + | 2.28974i | 0.0256821 | + | 0.0993664i | ||||
\(532\) | 2.68136 | − | 8.81557i | 0.116252 | − | 0.382203i | ||||
\(533\) | − | 2.56132i | − | 0.110943i | ||||||
\(534\) | −19.6182 | − | 20.4671i | −0.848963 | − | 0.885698i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.97221 | + | 11.1409i | 0.171574 | + | 0.481214i | ||||
\(537\) | 0.802169 | − | 0.101988i | 0.0346161 | − | 0.00440111i | ||||
\(538\) | 15.7525 | + | 21.2564i | 0.679140 | + | 0.916429i | ||||
\(539\) | − | 31.8682i | − | 1.37266i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.8846i | 1.28484i | 0.766352 | + | 0.642420i | \(0.222070\pi\) | ||||
−0.766352 | + | 0.642420i | \(0.777930\pi\) | |||||||
\(542\) | 28.2284 | − | 20.9193i | 1.21252 | − | 0.898562i | ||||
\(543\) | −28.4585 | + | 3.61822i | −1.22127 | + | 0.155273i | ||||
\(544\) | 1.08977 | + | 23.0609i | 0.0467235 | + | 0.988727i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 10.9935 | − | 10.5376i | 0.470480 | − | 0.450967i | ||||
\(547\) | 2.78046i | 0.118884i | 0.998232 | + | 0.0594418i | \(0.0189321\pi\) | ||||
−0.998232 | + | 0.0594418i | \(0.981068\pi\) | |||||||
\(548\) | 7.77282 | − | 25.5549i | 0.332038 | − | 1.09165i | ||||
\(549\) | −0.471140 | − | 1.82288i | −0.0201078 | − | 0.0777987i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.34484 | 0.0572921 | ||||||||
\(552\) | 20.5423 | − | 10.4078i | 0.874340 | − | 0.442985i | ||||
\(553\) | − | 3.61822i | − | 0.153862i | ||||||
\(554\) | 24.5896 | + | 33.1811i | 1.04471 | + | 1.40973i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.35399 | − | 27.4656i | 0.354288 | − | 1.16480i | ||||
\(557\) | − | 39.3640i | − | 1.66791i | −0.551836 | − | 0.833953i | \(-0.686073\pi\) | ||
0.551836 | − | 0.833953i | \(-0.313927\pi\) | |||||||
\(558\) | 12.9923 | − | 16.0629i | 0.550010 | − | 0.679996i | ||||
\(559\) | − | 5.86236i | − | 0.247951i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 35.5809 | − | 4.52376i | 1.50223 | − | 0.190994i | ||||
\(562\) | 26.1168 | − | 19.3544i | 1.10167 | − | 0.816416i | ||||
\(563\) | −16.1259 | −0.679624 | −0.339812 | − | 0.940493i | \(-0.610363\pi\) | ||||
−0.339812 | + | 0.940493i | \(0.610363\pi\) | |||||||
\(564\) | 6.35399 | − | 37.2819i | 0.267551 | − | 1.56985i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.31234 | − | 1.71361i | 0.0971949 | − | 0.0720284i | ||||
\(567\) | −28.6908 | + | 15.8924i | −1.20490 | + | 0.667419i | ||||
\(568\) | 16.5628 | − | 5.90534i | 0.694958 | − | 0.247783i | ||||
\(569\) | − | 8.55906i | − | 0.358814i | −0.983775 | − | 0.179407i | \(-0.942582\pi\) | ||
0.983775 | − | 0.179407i | \(-0.0574180\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.6984 | 1.45208 | 0.726042 | − | 0.687650i | \(-0.241358\pi\) | ||||
0.726042 | + | 0.687650i | \(0.241358\pi\) | |||||||
\(572\) | −16.5628 | − | 5.03776i | −0.692524 | − | 0.210639i | ||||
\(573\) | 1.41801 | + | 11.1531i | 0.0592383 | + | 0.465929i | ||||
\(574\) | 6.21689 | − | 4.60717i | 0.259488 | − | 0.192299i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −14.1954 | + | 19.3517i | −0.591476 | + | 0.806322i | ||||
\(577\) | 32.8684i | 1.36833i | 0.729328 | + | 0.684165i | \(0.239833\pi\) | ||||
−0.729328 | + | 0.684165i | \(0.760167\pi\) | |||||||
\(578\) | −0.289670 | − | 0.390879i | −0.0120487 | − | 0.0162584i | ||||
\(579\) | 19.5900 | − | 2.49068i | 0.814132 | − | 0.103509i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −28.1535 | −1.16801 | ||||||||
\(582\) | 12.5452 | + | 13.0880i | 0.520015 | + | 0.542516i | ||||
\(583\) | 45.0212 | 1.86459 | ||||||||
\(584\) | 4.00557 | + | 11.2345i | 0.165752 | + | 0.464885i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.81733 | − | 5.05213i | 0.281621 | − | 0.208702i | ||||
\(587\) | 15.4302 | 0.636872 | 0.318436 | − | 0.947944i | \(-0.396842\pi\) | ||||
0.318436 | + | 0.947944i | \(0.396842\pi\) | |||||||
\(588\) | 21.4476 | + | 3.65533i | 0.884484 | + | 0.150743i | ||||
\(589\) | 6.15614i | 0.253659i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.11843 | − | 0.777899i | 0.251678 | − | 0.0319985i | ||||
\(592\) | 25.1461 | + | 16.8564i | 1.03350 | + | 0.692795i | ||||
\(593\) | 14.0511 | 0.577008 | 0.288504 | − | 0.957479i | \(-0.406842\pi\) | ||||
0.288504 | + | 0.957479i | \(0.406842\pi\) | |||||||
\(594\) | 31.7162 | + | 19.6049i | 1.30133 | + | 0.804400i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 10.6355 | − | 34.9667i | 0.435649 | − | 1.43229i | ||||
\(597\) | 7.56830 | − | 0.962236i | 0.309750 | − | 0.0393817i | ||||
\(598\) | −9.11141 | + | 6.75221i | −0.372593 | + | 0.276119i | ||||
\(599\) | 30.0200 | 1.22658 | 0.613291 | − | 0.789857i | \(-0.289845\pi\) | ||||
0.613291 | + | 0.789857i | \(0.289845\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −29.3006 | −1.19520 | −0.597599 | − | 0.801795i | \(-0.703878\pi\) | ||||
−0.597599 | + | 0.801795i | \(0.703878\pi\) | |||||||
\(602\) | 14.2292 | − | 10.5449i | 0.579940 | − | 0.429777i | ||||
\(603\) | 3.13929 | + | 12.1462i | 0.127842 | + | 0.494632i | ||||
\(604\) | 32.0793 | + | 9.75731i | 1.30529 | + | 0.397019i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 17.9548 | − | 17.2102i | 0.729366 | − | 0.699115i | ||||
\(607\) | −38.9265 | −1.57998 | −0.789989 | − | 0.613122i | \(-0.789914\pi\) | ||||
−0.789989 | + | 0.613122i | \(0.789914\pi\) | |||||||
\(608\) | −0.337578 | − | 7.14356i | −0.0136906 | − | 0.289710i | ||||
\(609\) | 0.846874 | + | 6.66093i | 0.0343171 | + | 0.269915i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.6247i | 0.753474i | ||||||||
\(612\) | −1.03664 | + | 24.4651i | −0.0419038 | + | 0.988943i | ||||
\(613\) | 28.9092 | 1.16763 | 0.583816 | − | 0.811886i | \(-0.301559\pi\) | ||||
0.583816 | + | 0.811886i | \(0.301559\pi\) | |||||||
\(614\) | 21.6503 | − | 16.0444i | 0.873735 | − | 0.647501i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −17.5644 | − | 49.2631i | −0.707691 | − | 1.98487i | ||||
\(617\) | 26.5340 | 1.06822 | 0.534109 | − | 0.845416i | \(-0.320647\pi\) | ||||
0.534109 | + | 0.845416i | \(0.320647\pi\) | |||||||
\(618\) | −27.4798 | + | 26.3401i | −1.10540 | + | 1.05955i | ||||
\(619\) | 17.9531 | 0.721595 | 0.360798 | − | 0.932644i | \(-0.382505\pi\) | ||||
0.360798 | + | 0.932644i | \(0.382505\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 22.6885 | − | 9.04593i | 0.910459 | − | 0.363001i | ||||
\(622\) | −21.9685 | − | 29.6442i | −0.880857 | − | 1.18863i | ||||
\(623\) | 42.1795i | 1.68989i | ||||||||
\(624\) | 5.29023 | − | 10.5690i | 0.211779 | − | 0.423100i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −22.9284 | + | 16.9916i | −0.916404 | + | 0.679122i | ||||
\(627\) | −11.0219 | + | 1.40133i | −0.440171 | + | 0.0559635i | ||||
\(628\) | 3.67421 | − | 12.0798i | 0.146617 | − | 0.482036i | ||||
\(629\) | 30.8875 | 1.23157 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.8875i | 1.34904i | 0.738257 | + | 0.674520i | \(0.235649\pi\) | ||||
−0.738257 | + | 0.674520i | \(0.764351\pi\) | |||||||
\(632\) | −0.943097 | − | 2.64511i | −0.0375144 | − | 0.105217i | ||||
\(633\) | 3.52523 | + | 27.7271i | 0.140115 | + | 1.10205i | ||||
\(634\) | −8.88068 | + | 6.58123i | −0.352697 | + | 0.261374i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.16400 | + | 30.2996i | −0.204766 | + | 1.20146i | ||||
\(637\) | −10.7144 | −0.424521 | ||||||||
\(638\) | 6.13285 | − | 4.54489i | 0.242802 | − | 0.179934i | ||||
\(639\) | 18.0573 | − | 4.66707i | 0.714336 | − | 0.184626i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 16.1456i | − | 0.637711i | −0.947803 | − | 0.318856i | \(-0.896702\pi\) | ||
0.947803 | − | 0.318856i | \(-0.103298\pi\) | |||||||
\(642\) | 26.2963 | − | 25.2057i | 1.03783 | − | 0.994788i | ||||
\(643\) | 41.9604i | 1.65476i | 0.561645 | + | 0.827378i | \(0.310169\pi\) | ||||
−0.561645 | + | 0.827378i | \(0.689831\pi\) | |||||||
\(644\) | −32.7782 | − | 9.96989i | −1.29164 | − | 0.392869i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.34443 | − | 5.86236i | −0.170929 | − | 0.230651i | ||||
\(647\) | 9.10158i | 0.357820i | 0.983865 | + | 0.178910i | \(0.0572571\pi\) | ||||
−0.983865 | + | 0.178910i | \(0.942743\pi\) | |||||||
\(648\) | −16.8322 | + | 19.0966i | −0.661230 | + | 0.750183i | ||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −30.4911 | + | 3.87665i | −1.19504 | + | 0.151938i | ||||
\(652\) | −5.14927 | − | 1.56621i | −0.201661 | − | 0.0613376i | ||||
\(653\) | 12.0573i | 0.471839i | 0.971773 | + | 0.235919i | \(0.0758102\pi\) | ||||
−0.971773 | + | 0.235919i | \(0.924190\pi\) | |||||||
\(654\) | 17.8611 | + | 18.6340i | 0.698425 | + | 0.728646i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3.34402 | − | 4.98854i | 0.130562 | − | 0.194770i | ||||
\(657\) | 3.16565 | + | 12.2482i | 0.123504 | + | 0.477848i | ||||
\(658\) | −45.2062 | + | 33.5011i | −1.76232 | + | 1.30601i | ||||
\(659\) | 12.1916i | 0.474916i | 0.971398 | + | 0.237458i | \(0.0763142\pi\) | ||||
−0.971398 | + | 0.237458i | \(0.923686\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.0284i | 0.856806i | 0.903588 | + | 0.428403i | \(0.140924\pi\) | ||||
−0.903588 | + | 0.428403i | \(0.859076\pi\) | |||||||
\(662\) | −8.45596 | − | 11.4104i | −0.328650 | − | 0.443479i | ||||
\(663\) | −1.52094 | − | 11.9626i | −0.0590682 | − | 0.464591i | ||||
\(664\) | −20.5818 | + | 7.33828i | −0.798727 | + | 0.284781i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 24.9653 | + | 20.1930i | 0.967386 | + | 0.782463i | ||||
\(667\) | − | 5.00041i | − | 0.193617i | ||||||
\(668\) | 31.8844 | + | 9.69801i | 1.23364 | + | 0.375227i | ||||
\(669\) | −1.33143 | − | 10.4721i | −0.0514759 | − | 0.404875i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.18443 | 0.122934 | ||||||||
\(672\) | 35.1691 | − | 6.17045i | 1.35668 | − | 0.238030i | ||||
\(673\) | 25.3258i | 0.976238i | 0.872777 | + | 0.488119i | \(0.162317\pi\) | ||||
−0.872777 | + | 0.488119i | \(0.837683\pi\) | |||||||
\(674\) | −20.3080 | + | 15.0497i | −0.782235 | + | 0.579693i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.87223 | − | 19.3062i | 0.225855 | − | 0.742548i | ||||
\(677\) | 21.9435i | 0.843358i | 0.906745 | + | 0.421679i | \(0.138559\pi\) | ||||
−0.906745 | + | 0.421679i | \(0.861441\pi\) | |||||||
\(678\) | 17.5835 | − | 16.8542i | 0.675289 | − | 0.647282i | ||||
\(679\) | − | 26.9724i | − | 1.03511i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.47118 | − | 35.1673i | −0.171336 | − | 1.34761i | ||||
\(682\) | 20.8047 | + | 28.0737i | 0.796652 | + | 1.07500i | ||||
\(683\) | 16.0383 | 0.613687 | 0.306844 | − | 0.951760i | \(-0.400727\pi\) | ||||
0.306844 | + | 0.951760i | \(0.400727\pi\) | |||||||
\(684\) | 0.321121 | − | 7.57854i | 0.0122784 | − | 0.289773i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 2.20733 | + | 2.97856i | 0.0842762 | + | 0.113722i | ||||
\(687\) | −45.4860 | + | 5.78311i | −1.73540 | + | 0.220639i | ||||
\(688\) | 7.65379 | − | 11.4178i | 0.291798 | − | 0.435298i | ||||
\(689\) | − | 15.1366i | − | 0.576658i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.0993 | −0.878740 | −0.439370 | − | 0.898306i | \(-0.644798\pi\) | ||||
−0.439370 | + | 0.898306i | \(0.644798\pi\) | |||||||
\(692\) | 22.4749 | + | 6.83600i | 0.854367 | + | 0.259866i | ||||
\(693\) | −13.8814 | − | 53.7084i | −0.527311 | − | 2.04021i | ||||
\(694\) | −29.4612 | − | 39.7548i | −1.11833 | − | 1.50907i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.35530 | + | 4.64876i | 0.0892773 | + | 0.176211i | ||||
\(697\) | − | 6.12753i | − | 0.232097i | ||||||
\(698\) | −9.37375 | + | 6.94662i | −0.354802 | + | 0.262934i | ||||
\(699\) | 5.32534 | + | 41.8855i | 0.201423 | + | 1.58426i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.254246 | −0.00960274 | −0.00480137 | − | 0.999988i | \(-0.501528\pi\) | ||||
−0.00480137 | + | 0.999988i | \(0.501528\pi\) | |||||||
\(702\) | 6.59137 | − | 10.6633i | 0.248775 | − | 0.402461i | ||||
\(703\) | −9.56802 | −0.360865 | ||||||||
\(704\) | −25.6811 | − | 31.4358i | −0.967893 | − | 1.18478i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.787326 | + | 1.06241i | 0.0296314 | + | 0.0399845i | ||||
\(707\) | −37.0022 | −1.39161 | ||||||||
\(708\) | 0.458805 | − | 2.69203i | 0.0172430 | − | 0.101173i | ||||
\(709\) | − | 19.9746i | − | 0.750163i | −0.926992 | − | 0.375082i | \(-0.877615\pi\) | ||
0.926992 | − | 0.375082i | \(-0.122385\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.745342 | − | 2.88380i | −0.0279525 | − | 0.108151i | ||||
\(712\) | 10.9942 | + | 30.8355i | 0.412025 | + | 1.15561i | ||||
\(713\) | 22.8899 | 0.857233 | ||||||||
\(714\) | 26.3002 | − | 25.2094i | 0.984260 | − | 0.943438i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.893313 | − | 0.271712i | −0.0333847 | − | 0.0101543i | ||||
\(717\) | 1.19529 | + | 9.40133i | 0.0446389 | + | 0.351099i | ||||
\(718\) | −27.4342 | − | 37.0195i | −1.02383 | − | 1.38156i | ||||
\(719\) | −33.7978 | −1.26044 | −0.630222 | − | 0.776415i | \(-0.717036\pi\) | ||||
−0.630222 | + | 0.776415i | \(0.717036\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 56.6317 | 2.10908 | ||||||||
\(722\) | −14.6526 | − | 19.7722i | −0.545315 | − | 0.735846i | ||||
\(723\) | −5.38374 | − | 42.3449i | −0.200224 | − | 1.57482i | ||||
\(724\) | 31.6920 | + | 9.63949i | 1.17782 | + | 0.358249i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −26.0754 | + | 24.9939i | −0.967749 | + | 0.927612i | ||||
\(727\) | 27.0308 | 1.00252 | 0.501258 | − | 0.865298i | \(-0.332871\pi\) | ||||
0.501258 | + | 0.865298i | \(0.332871\pi\) | |||||||
\(728\) | −16.5628 | + | 5.90534i | −0.613857 | + | 0.218866i | ||||
\(729\) | −19.5934 | + | 18.5768i | −0.725682 | + | 0.688030i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 14.0247i | − | 0.518722i | ||||||
\(732\) | −0.365259 | + | 2.14315i | −0.0135003 | + | 0.0792130i | ||||
\(733\) | 15.8811 | 0.586583 | 0.293291 | − | 0.956023i | \(-0.405249\pi\) | ||||
0.293291 | + | 0.956023i | \(0.405249\pi\) | |||||||
\(734\) | −0.666813 | − | 0.899795i | −0.0246125 | − | 0.0332121i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −26.5613 | + | 1.25519i | −0.979063 | + | 0.0462669i | ||||
\(737\) | −21.2185 | −0.781592 | ||||||||
\(738\) | 4.00593 | − | 4.95267i | 0.147460 | − | 0.182310i | ||||
\(739\) | 14.1753 | 0.521446 | 0.260723 | − | 0.965414i | \(-0.416039\pi\) | ||||
0.260723 | + | 0.965414i | \(0.416039\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.471140 | + | 3.70567i | 0.0173078 | + | 0.136131i | ||||
\(742\) | 36.7398 | − | 27.2269i | 1.34876 | − | 0.999530i | ||||
\(743\) | 29.5744i | 1.08498i | 0.840063 | + | 0.542489i | \(0.182518\pi\) | ||||
−0.840063 | + | 0.542489i | \(0.817482\pi\) | |||||||
\(744\) | −21.2802 | + | 10.7816i | −0.780169 | + | 0.395273i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 15.7740 | + | 21.2854i | 0.577527 | + | 0.779313i | ||||
\(747\) | −22.4390 | + | 5.79954i | −0.820999 | + | 0.212194i | ||||
\(748\) | −39.6236 | − | 12.0520i | −1.44878 | − | 0.440665i | ||||
\(749\) | −54.1926 | −1.98016 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.58573i | 0.276807i | 0.990376 | + | 0.138404i | \(0.0441971\pi\) | ||||
−0.990376 | + | 0.138404i | \(0.955803\pi\) | |||||||
\(752\) | −24.3161 | + | 36.2742i | −0.886716 | + | 1.32278i | ||||
\(753\) | 3.00642 | − | 0.382237i | 0.109560 | − | 0.0139295i | ||||
\(754\) | −1.52804 | − | 2.06193i | −0.0556478 | − | 0.0750909i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 37.7384 | − | 3.18187i | 1.37253 | − | 0.115723i | ||||
\(757\) | 31.1258 | 1.13129 | 0.565643 | − | 0.824650i | \(-0.308628\pi\) | ||||
0.565643 | + | 0.824650i | \(0.308628\pi\) | |||||||
\(758\) | −7.47921 | − | 10.0924i | −0.271657 | − | 0.366573i | ||||
\(759\) | 5.21043 | + | 40.9817i | 0.189127 | + | 1.48754i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 8.24575i | − | 0.298908i | −0.988769 | − | 0.149454i | \(-0.952248\pi\) | ||
0.988769 | − | 0.149454i | \(-0.0477516\pi\) | |||||||
\(762\) | 9.95567 | − | 9.54275i | 0.360656 | − | 0.345697i | ||||
\(763\) | − | 38.4017i | − | 1.39024i | ||||||
\(764\) | 3.77780 | − | 12.4204i | 0.136676 | − | 0.449353i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.95880 | − | 2.93376i | 0.143037 | − | 0.106001i | ||||
\(767\) | 1.34484i | 0.0485594i | ||||||||
\(768\) | 24.1022 | − | 13.6779i | 0.869713 | − | 0.493557i | ||||
\(769\) | 26.3262 | 0.949347 | 0.474674 | − | 0.880162i | \(-0.342566\pi\) | ||||
0.474674 | + | 0.880162i | \(0.342566\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.15267 | + | 9.06612i | 0.0415124 | + | 0.326508i | ||||
\(772\) | −21.8158 | − | 6.63555i | −0.785169 | − | 0.238819i | ||||
\(773\) | − | 27.2417i | − | 0.979817i | −0.871774 | − | 0.489909i | \(-0.837030\pi\) | ||
0.871774 | − | 0.489909i | \(-0.162970\pi\) | |||||||
\(774\) | 9.16878 | − | 11.3357i | 0.329565 | − | 0.407452i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −7.03041 | − | 19.7183i | −0.252377 | − | 0.707845i | ||||
\(777\) | −6.02518 | − | 47.3900i | −0.216152 | − | 1.70011i | ||||
\(778\) | 20.8844 | + | 28.1813i | 0.748741 | + | 1.01035i | ||||
\(779\) | 1.89812i | 0.0680074i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.5447i | 1.12876i | ||||||||
\(782\) | −21.7975 | + | 16.1535i | −0.779478 | + | 0.577649i | ||||
\(783\) | 2.04711 | + | 5.13445i | 0.0731577 | + | 0.183490i | ||||
\(784\) | −20.8679 | − | 13.9886i | −0.745281 | − | 0.499592i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −2.81733 | − | 2.93923i | −0.100491 | − | 0.104839i | ||||
\(787\) | 26.9324i | 0.960037i | 0.877258 | + | 0.480019i | \(0.159370\pi\) | ||||
−0.877258 | + | 0.480019i | \(0.840630\pi\) | |||||||
\(788\) | −6.81361 | − | 2.07244i | −0.242725 | − | 0.0738277i | ||||
\(789\) | 3.07636 | − | 0.391129i | 0.109521 | − | 0.0139246i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −36.2369 | −1.28843 | ||||||||
\(792\) | −24.1473 | − | 35.6455i | −0.858036 | − | 1.26661i | ||||
\(793\) | − | 1.07064i | − | 0.0380195i | ||||||
\(794\) | 13.1249 | + | 17.7107i | 0.465785 | + | 0.628528i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −8.42822 | − | 2.56354i | −0.298730 | − | 0.0908624i | ||||
\(797\) | − | 13.1279i | − | 0.465016i | −0.972595 | − | 0.232508i | \(-0.925307\pi\) | ||
0.972595 | − | 0.232508i | \(-0.0746931\pi\) | |||||||
\(798\) | −8.14701 | + | 7.80911i | −0.288401 | + | 0.276439i | ||||
\(799\) | 44.5565i | 1.57629i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.68886 | + | 33.6180i | 0.307006 | + | 1.18783i | ||||
\(802\) | −29.9794 | + | 22.2169i | −1.05861 | + | 0.784506i | ||||
\(803\) | −21.3966 | −0.755071 | ||||||||
\(804\) | 2.43379 | − | 14.2802i | 0.0858331 | − | 0.503624i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 9.43868 | − | 6.99474i | 0.332463 | − | 0.246379i | ||||
\(807\) | −4.08685 | − | 32.1444i | −0.143864 | − | 1.13154i | ||||
\(808\) | −27.0506 | + | 9.64470i | −0.951636 | + | 0.339299i | ||||
\(809\) | − | 29.5632i | − | 1.03939i | −0.854353 | − | 0.519693i | \(-0.826046\pi\) | ||
0.854353 | − | 0.519693i | \(-0.173954\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.2269 | 1.02629 | 0.513147 | − | 0.858301i | \(-0.328480\pi\) | ||||
0.513147 | + | 0.858301i | \(0.328480\pi\) | |||||||
\(812\) | 2.25620 | − | 7.41776i | 0.0791772 | − | 0.260312i | ||||
\(813\) | −42.6877 | + | 5.42733i | −1.49712 | + | 0.190345i | ||||
\(814\) | −43.6329 | + | 32.3351i | −1.52933 | + | 1.13334i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 12.6560 | − | 25.2846i | 0.443048 | − | 0.885140i | ||||
\(817\) | 4.34443i | 0.151992i | ||||||||
\(818\) | 0.418605 | + | 0.564865i | 0.0146362 | + | 0.0197500i | ||||
\(819\) | −18.0573 | + | 4.66707i | −0.630973 | + | 0.163081i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 5.29201 | 0.184692 | 0.0923462 | − | 0.995727i | \(-0.470563\pi\) | ||||
0.0923462 | + | 0.995727i | \(0.470563\pi\) | |||||||
\(822\) | −23.6168 | + | 22.6373i | −0.823731 | + | 0.789567i | ||||
\(823\) | 16.0047 | 0.557890 | 0.278945 | − | 0.960307i | \(-0.410015\pi\) | ||||
0.278945 | + | 0.960307i | \(0.410015\pi\) | |||||||
\(824\) | 41.4008 | − | 14.7612i | 1.44227 | − | 0.514230i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.26422 | + | 2.41903i | −0.113577 | + | 0.0841687i | ||||
\(827\) | 4.13539 | 0.143802 | 0.0719009 | − | 0.997412i | \(-0.477093\pi\) | ||||
0.0719009 | + | 0.997412i | \(0.477093\pi\) | |||||||
\(828\) | −28.1787 | − | 1.19400i | −0.979277 | − | 0.0414943i | ||||
\(829\) | 22.5879i | 0.784512i | 0.919856 | + | 0.392256i | \(0.128305\pi\) | ||||
−0.919856 | + | 0.392256i | \(0.871695\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.37954 | − | 50.1771i | −0.221304 | − | 1.74063i | ||||
\(832\) | −10.5690 | + | 8.63424i | −0.366415 | + | 0.299339i | ||||
\(833\) | −25.6325 | −0.888113 | ||||||||
\(834\) | −25.3826 | + | 24.3299i | −0.878929 | + | 0.842476i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 12.2742 | + | 3.73335i | 0.424512 | + | 0.129120i | ||||
\(837\) | −23.5035 | + | 9.37084i | −0.812399 | + | 0.323904i | ||||
\(838\) | 12.5257 | − | 9.28242i | 0.432692 | − | 0.320656i | ||||
\(839\) | 32.0329 | 1.10590 | 0.552949 | − | 0.833215i | \(-0.313502\pi\) | ||||
0.552949 | + | 0.833215i | \(0.313502\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.8684 | −0.960979 | ||||||||
\(842\) | −12.6088 | + | 9.34402i | −0.434527 | + | 0.322016i | ||||
\(843\) | −39.4944 | + | 5.02133i | −1.36026 | + | 0.172944i | ||||
\(844\) | 9.39176 | − | 30.8775i | 0.323278 | − | 1.06285i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −29.1292 | + | 36.0134i | −1.00148 | + | 1.23817i | ||||
\(847\) | 53.7374 | 1.84644 | ||||||||
\(848\) | 19.7621 | − | 29.4806i | 0.678632 | − | 1.01237i | ||||
\(849\) | −3.49677 | + | 0.444581i | −0.120009 | + | 0.0152580i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 35.5760i | 1.21953i | ||||||||
\(852\) | −21.2298 | − | 3.61822i | −0.727322 | − | 0.123958i | ||||
\(853\) | 10.3607 | 0.354745 | 0.177372 | − | 0.984144i | \(-0.443240\pi\) | ||||
0.177372 | + | 0.984144i | \(0.443240\pi\) | |||||||
\(854\) | 2.59867 | − | 1.92581i | 0.0889248 | − | 0.0658997i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −39.6177 | + | 14.1254i | −1.35411 | + | 0.482797i | ||||
\(857\) | 18.1893 | 0.621334 | 0.310667 | − | 0.950519i | \(-0.399448\pi\) | ||||
0.310667 | + | 0.950519i | \(0.399448\pi\) | |||||||
\(858\) | 14.6718 | + | 15.3067i | 0.500888 | + | 0.522561i | ||||
\(859\) | −27.2650 | −0.930271 | −0.465136 | − | 0.885239i | \(-0.653994\pi\) | ||||
−0.465136 | + | 0.885239i | \(0.653994\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.40133 | + | 1.19529i | −0.320396 | + | 0.0407353i | ||||
\(862\) | 5.75943 | + | 7.77176i | 0.196167 | + | 0.264707i | ||||
\(863\) | − | 12.4082i | − | 0.422381i | −0.977445 | − | 0.211191i | \(-0.932266\pi\) | ||
0.977445 | − | 0.211191i | \(-0.0677341\pi\) | |||||||
\(864\) | 26.7595 | − | 12.1627i | 0.910375 | − | 0.413784i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 43.9011 | − | 32.5338i | 1.49182 | − | 1.10555i | ||||
\(867\) | 0.0751522 | + | 0.591096i | 0.00255230 | + | 0.0200747i | ||||
\(868\) | 33.9556 | + | 10.3280i | 1.15253 | + | 0.350555i | ||||
\(869\) | 5.03776 | 0.170894 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.13386i | 0.241722i | ||||||||
\(872\) | −10.0095 | − | 28.0737i | −0.338964 | − | 0.950697i | ||||
\(873\) | −5.55623 | − | 21.4976i | −0.188050 | − | 0.727582i | ||||
\(874\) | 6.75221 | − | 5.00388i | 0.228397 | − | 0.169259i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.45422 | − | 14.4001i | 0.0829205 | − | 0.486535i | ||||
\(877\) | 9.19349 | 0.310442 | 0.155221 | − | 0.987880i | \(-0.450391\pi\) | ||||
0.155221 | + | 0.987880i | \(0.450391\pi\) | |||||||
\(878\) | −4.63474 | + | 3.43468i | −0.156415 | + | 0.115915i | ||||
\(879\) | −10.3093 | + | 1.31073i | −0.347725 | + | 0.0442098i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 38.4479i | − | 1.29534i | −0.761920 | − | 0.647671i | \(-0.775743\pi\) | ||
0.761920 | − | 0.647671i | \(-0.224257\pi\) | |||||||
\(882\) | −20.7178 | − | 16.7575i | −0.697605 | − | 0.564253i | ||||
\(883\) | 5.12406i | 0.172438i | 0.996276 | + | 0.0862192i | \(0.0274785\pi\) | ||||
−0.996276 | + | 0.0862192i | \(0.972521\pi\) | |||||||
\(884\) | −4.05201 | + | 13.3219i | −0.136284 | + | 0.448063i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.7054 | − | 14.4459i | −0.359656 | − | 0.485319i | ||||
\(887\) | 1.79043i | 0.0601169i | 0.999548 | + | 0.0300584i | \(0.00956934\pi\) | ||||
−0.999548 | + | 0.0300584i | \(0.990431\pi\) | |||||||
\(888\) | −16.7570 | − | 33.0742i | −0.562329 | − | 1.10990i | ||||
\(889\) | −20.5171 | −0.688121 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −22.1275 | − | 39.9472i | −0.741300 | − | 1.33828i | ||||
\(892\) | −3.54713 | + | 11.6620i | −0.118767 | + | 0.390471i | ||||
\(893\) | − | 13.8022i | − | 0.461874i | ||||||
\(894\) | −32.3149 | + | 30.9746i | −1.08077 | + | 1.03595i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −39.9682 | − | 10.1226i | −1.33524 | − | 0.338171i | ||||
\(897\) | 13.7785 | − | 1.75180i | 0.460050 | − | 0.0584909i | ||||
\(898\) | −35.5620 | + | 26.3540i | −1.18672 | + | 0.879444i | ||||
\(899\) | 5.18002i | 0.172763i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 36.2118i | − | 1.20639i | ||||||
\(902\) | 6.41471 | + | 8.65598i | 0.213586 | + | 0.288213i | ||||
\(903\) | −21.5178 | + | 2.73578i | −0.716066 | + | 0.0910409i | ||||
\(904\) | −26.4911 | + | 9.44522i | −0.881081 | + | 0.314143i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −28.4169 | − | 29.6465i | −0.944087 | − | 0.984938i | ||||
\(907\) | − | 34.5506i | − | 1.14724i | −0.819123 | − | 0.573618i | \(-0.805540\pi\) | ||
0.819123 | − | 0.573618i | \(-0.194460\pi\) | |||||||
\(908\) | −11.9119 | + | 39.1630i | −0.395311 | + | 1.29967i | ||||
\(909\) | −29.4915 | + | 7.62234i | −0.978172 | + | 0.252817i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 52.6515 | 1.74442 | 0.872211 | − | 0.489130i | \(-0.162686\pi\) | ||||
0.872211 | + | 0.489130i | \(0.162686\pi\) | |||||||
\(912\) | −3.92044 | + | 7.83242i | −0.129819 | + | 0.259357i | ||||
\(913\) | − | 39.1991i | − | 1.29730i | ||||||
\(914\) | 33.0751 | − | 24.5110i | 1.09403 | − | 0.810753i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 50.6542 | + | 15.4071i | 1.67366 | + | 0.509064i | ||||
\(917\) | 6.05731i | 0.200030i | ||||||||
\(918\) | 15.7688 | − | 25.5102i | 0.520446 | − | 0.841962i | ||||
\(919\) | 13.0595i | 0.430794i | 0.976527 | + | 0.215397i | \(0.0691046\pi\) | ||||
−0.976527 | + | 0.215397i | \(0.930895\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −32.7401 | + | 4.16259i | −1.07882 | + | 0.137162i | ||||
\(922\) | 0.00578529 | + | 0.00780665i | 0.000190528 | + | 0.000257098i | ||||
\(923\) | 10.6056 | 0.349089 | ||||||||
\(924\) | −10.7618 | + | 63.1445i | −0.354037 | + | 2.07730i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −15.1483 | − | 20.4411i | −0.497805 | − | 0.671737i | ||||
\(927\) | 45.1367 | − | 11.6660i | 1.48248 | − | 0.383160i | ||||
\(928\) | −0.284051 | − | 6.01087i | −0.00932444 | − | 0.197316i | ||||
\(929\) | − | 20.9794i | − | 0.688313i | −0.938912 | − | 0.344156i | \(-0.888165\pi\) | ||
0.938912 | − | 0.344156i | \(-0.111835\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.94016 | 0.260228 | ||||||||
\(932\) | 14.1875 | − | 46.6446i | 0.464728 | − | 1.52790i | ||||
\(933\) | 5.69953 | + | 44.8287i | 0.186594 | + | 1.46762i | ||||
\(934\) | 3.36748 | + | 4.54406i | 0.110187 | + | 0.148686i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −11.9844 | + | 8.11856i | −0.391722 | + | 0.265363i | ||||
\(937\) | − | 5.78393i | − | 0.188953i | −0.995527 | − | 0.0944764i | \(-0.969882\pi\) | ||
0.995527 | − | 0.0944764i | \(-0.0301177\pi\) | |||||||
\(938\) | −17.3155 | + | 12.8320i | −0.565370 | + | 0.418980i | ||||
\(939\) | 34.6729 | − | 4.40832i | 1.13151 | − | 0.143860i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 42.0131 | 1.36959 | 0.684794 | − | 0.728737i | \(-0.259892\pi\) | ||||
0.684794 | + | 0.728737i | \(0.259892\pi\) | |||||||
\(942\) | −11.1637 | + | 10.7007i | −0.363732 | + | 0.348646i | ||||
\(943\) | 7.05764 | 0.229829 | ||||||||
\(944\) | −1.75580 | + | 2.61927i | −0.0571464 | + | 0.0852498i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.6820 | + | 19.8118i | 0.477353 | + | 0.644138i | ||||
\(947\) | 23.5854 | 0.766421 | 0.383211 | − | 0.923661i | \(-0.374818\pi\) | ||||
0.383211 | + | 0.923661i | \(0.374818\pi\) | |||||||
\(948\) | −0.577838 | + | 3.39046i | −0.0187673 | + | 0.110117i | ||||
\(949\) | 7.19377i | 0.233520i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 13.4296 | − | 1.70744i | 0.435484 | − | 0.0553675i | ||||
\(952\) | −39.6236 | + | 14.1275i | −1.28421 | + | 0.457876i | ||||
\(953\) | −31.8648 | −1.03220 | −0.516102 | − | 0.856527i | \(-0.672617\pi\) | ||||
−0.516102 | + | 0.856527i | \(0.672617\pi\) | |||||||
\(954\) | 23.6738 | − | 29.2687i | 0.766467 | − | 0.947609i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 3.18443 | − | 10.4695i | 0.102992 | − | 0.338609i | ||||
\(957\) | −9.27423 | + | 1.17913i | −0.299793 | + | 0.0381159i | ||||
\(958\) | −28.7522 | − | 38.7982i | −0.928943 | − | 1.25351i | ||||
\(959\) | 48.6706 | 1.57166 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.28794 | 0.235095 | ||||||||
\(962\) | 10.8714 | + | 14.6698i | 0.350508 | + | 0.472974i | ||||
\(963\) | −43.1927 | + | 11.1635i | −1.39186 | + | 0.359739i | ||||
\(964\) | −14.3431 | + | 47.1562i | −0.461961 | + | 1.51880i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 29.0360 | + | 30.2924i | 0.934217 | + | 0.974641i | ||||
\(967\) | −11.1038 | −0.357073 | −0.178537 | − | 0.983933i | \(-0.557136\pi\) | ||||
−0.178537 | + | 0.983933i | \(0.557136\pi\) | |||||||
\(968\) | 39.2850 | − | 14.0068i | 1.26267 | − | 0.450195i | ||||
\(969\) | 1.12712 | + | 8.86519i | 0.0362084 | + | 0.284791i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 47.5500i | − | 1.52595i | −0.646427 | − | 0.762976i | \(-0.723737\pi\) | ||
0.646427 | − | 0.762976i | \(-0.276263\pi\) | |||||||
\(972\) | 29.4228 | − | 10.3100i | 0.943738 | − | 0.330694i | ||||
\(973\) | 52.3097 | 1.67697 | ||||||||
\(974\) | −0.717251 | − | 0.967856i | −0.0229822 | − | 0.0310121i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.39781 | − | 2.08522i | 0.0447427 | − | 0.0667462i | ||||
\(977\) | −51.9896 | −1.66329 | −0.831647 | − | 0.555304i | \(-0.812602\pi\) | ||||
−0.831647 | + | 0.555304i | \(0.812602\pi\) | |||||||
\(978\) | 4.56139 | + | 4.75876i | 0.145857 | + | 0.152168i | ||||
\(979\) | −58.7279 | −1.87695 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.91064 | − | 30.6070i | −0.252567 | − | 0.977206i | ||||
\(982\) | −6.92090 | + | 5.12888i | −0.220855 | + | 0.163669i | ||||
\(983\) | − | 27.4842i | − | 0.876609i | −0.898826 | − | 0.438305i | \(-0.855579\pi\) | ||
0.898826 | − | 0.438305i | \(-0.144421\pi\) | |||||||
\(984\) | −6.56132 | + | 3.32430i | −0.209167 | + | 0.105975i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −3.65557 | − | 4.93281i | −0.116417 | − | 0.157093i | ||||
\(987\) | 68.3619 | − | 8.69155i | 2.17598 | − | 0.276655i | ||||
\(988\) | 1.25519 | − | 4.12671i | 0.0399329 | − | 0.131288i | ||||
\(989\) | 16.1535 | 0.513653 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 24.4556i | 0.776858i | 0.921479 | + | 0.388429i | \(0.126982\pi\) | ||||
−0.921479 | + | 0.388429i | \(0.873018\pi\) | |||||||
\(992\) | 27.5154 | − | 1.30027i | 0.873614 | − | 0.0412837i | ||||
\(993\) | 2.19382 | + | 17.2551i | 0.0696188 | + | 0.547575i | ||||
\(994\) | 19.0769 | + | 25.7422i | 0.605081 | + | 0.816494i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 26.3813 | + | 4.49619i | 0.835924 | + | 0.142467i | ||||
\(997\) | 39.1729 | 1.24062 | 0.620309 | − | 0.784358i | \(-0.287007\pi\) | ||||
0.620309 | + | 0.784358i | \(0.287007\pi\) | |||||||
\(998\) | −11.0621 | − | 14.9271i | −0.350164 | − | 0.472510i | ||||
\(999\) | −14.5644 | − | 36.5296i | −0.460797 | − | 1.15575i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))