Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(155,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.cf (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 659.97 | ||
Character | \(\chi\) | \(=\) | 756.659 |
Dual form | 756.2.cf.a.491.97 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32034 | + | 0.506659i | 0.933621 | + | 0.358262i | ||||
\(3\) | −1.02352 | − | 1.39728i | −0.590932 | − | 0.806721i | ||||
\(4\) | 1.48659 | + | 1.33792i | 0.743297 | + | 0.668961i | ||||
\(5\) | −0.779214 | + | 2.14087i | −0.348475 | + | 0.957428i | 0.634375 | + | 0.773025i | \(0.281257\pi\) |
−0.982851 | + | 0.184403i | \(0.940965\pi\) | |||||||
\(6\) | −0.643455 | − | 2.36346i | −0.262689 | − | 0.964880i | ||||
\(7\) | −0.984808 | − | 0.173648i | −0.372222 | − | 0.0656328i | ||||
\(8\) | 1.28494 | + | 2.51971i | 0.454295 | + | 0.890852i | ||||
\(9\) | −0.904796 | + | 2.86030i | −0.301599 | + | 0.953435i | ||||
\(10\) | −2.11352 | + | 2.43189i | −0.668354 | + | 0.769030i | ||||
\(11\) | −5.69009 | + | 2.07102i | −1.71563 | + | 0.624437i | −0.997446 | − | 0.0714196i | \(-0.977247\pi\) |
−0.718181 | + | 0.695857i | \(0.755025\pi\) | |||||||
\(12\) | 0.347891 | − | 3.44659i | 0.100428 | − | 0.994944i | ||||
\(13\) | 2.72452 | − | 2.28615i | 0.755647 | − | 0.634063i | −0.181343 | − | 0.983420i | \(-0.558044\pi\) |
0.936990 | + | 0.349357i | \(0.113600\pi\) | |||||||
\(14\) | −1.21230 | − | 0.728236i | −0.324001 | − | 0.194629i | ||||
\(15\) | 3.78895 | − | 1.10245i | 0.978303 | − | 0.284652i | ||||
\(16\) | 0.419924 | + | 3.97790i | 0.104981 | + | 0.994474i | ||||
\(17\) | −5.84222 | + | 3.37301i | −1.41695 | + | 0.818075i | −0.996029 | − | 0.0890246i | \(-0.971625\pi\) |
−0.420917 | + | 0.907099i | \(0.638292\pi\) | |||||||
\(18\) | −2.64384 | + | 3.31815i | −0.623158 | + | 0.782096i | ||||
\(19\) | −1.21441 | − | 0.701137i | −0.278604 | − | 0.160852i | 0.354187 | − | 0.935174i | \(-0.384757\pi\) |
−0.632791 | + | 0.774323i | \(0.718091\pi\) | |||||||
\(20\) | −4.02270 | + | 2.14008i | −0.899503 | + | 0.478537i | ||||
\(21\) | 0.765339 | + | 1.55379i | 0.167011 | + | 0.339064i | ||||
\(22\) | −8.56216 | − | 0.148479i | −1.82546 | − | 0.0316557i | ||||
\(23\) | −0.430394 | − | 2.44088i | −0.0897433 | − | 0.508959i | −0.996232 | − | 0.0867292i | \(-0.972359\pi\) |
0.906489 | − | 0.422230i | \(-0.138753\pi\) | |||||||
\(24\) | 2.20558 | − | 4.37441i | 0.450212 | − | 0.892922i | ||||
\(25\) | −0.145945 | − | 0.122462i | −0.0291889 | − | 0.0244924i | ||||
\(26\) | 4.75559 | − | 1.63809i | 0.932649 | − | 0.321255i | ||||
\(27\) | 4.92273 | − | 1.66334i | 0.947381 | − | 0.320109i | ||||
\(28\) | −1.23168 | − | 1.57574i | −0.232766 | − | 0.297787i | ||||
\(29\) | −1.90412 | + | 2.26924i | −0.353586 | + | 0.421387i | −0.913293 | − | 0.407303i | \(-0.866469\pi\) |
0.559707 | + | 0.828690i | \(0.310914\pi\) | |||||||
\(30\) | 5.56127 | + | 0.464091i | 1.01534 | + | 0.0847310i | ||||
\(31\) | −1.27834 | + | 0.225405i | −0.229596 | + | 0.0404840i | −0.287262 | − | 0.957852i | \(-0.592745\pi\) |
0.0576664 | + | 0.998336i | \(0.481634\pi\) | |||||||
\(32\) | −1.46099 | + | 5.46493i | −0.258270 | + | 0.966073i | ||||
\(33\) | 8.71775 | + | 5.83092i | 1.51757 | + | 1.01503i | ||||
\(34\) | −9.42268 | + | 1.49350i | −1.61598 | + | 0.256134i | ||||
\(35\) | 1.13914 | − | 1.97304i | 0.192549 | − | 0.333505i | ||||
\(36\) | −5.17193 | + | 3.04156i | −0.861989 | + | 0.506927i | ||||
\(37\) | 4.61467 | + | 7.99284i | 0.758646 | + | 1.31401i | 0.943541 | + | 0.331256i | \(0.107472\pi\) |
−0.184895 | + | 0.982758i | \(0.559194\pi\) | |||||||
\(38\) | −1.24819 | − | 1.54103i | −0.202483 | − | 0.249988i | ||||
\(39\) | −5.98301 | − | 1.46700i | −0.958048 | − | 0.234908i | ||||
\(40\) | −6.39562 | + | 0.787500i | −1.01124 | + | 0.124515i | ||||
\(41\) | −1.27581 | − | 1.52045i | −0.199248 | − | 0.237455i | 0.657164 | − | 0.753748i | \(-0.271756\pi\) |
−0.856412 | + | 0.516293i | \(0.827312\pi\) | |||||||
\(42\) | 0.223268 | + | 2.43929i | 0.0344509 | + | 0.376391i | ||||
\(43\) | 2.91000 | + | 7.99516i | 0.443771 | + | 1.21925i | 0.936993 | + | 0.349347i | \(0.113597\pi\) |
−0.493223 | + | 0.869903i | \(0.664181\pi\) | |||||||
\(44\) | −11.2297 | − | 4.53413i | −1.69294 | − | 0.683546i | ||||
\(45\) | −5.41852 | − | 4.16585i | −0.807746 | − | 0.621008i | ||||
\(46\) | 0.668429 | − | 3.44086i | 0.0985544 | − | 0.507327i | ||||
\(47\) | 1.14774 | − | 6.50915i | 0.167415 | − | 0.949457i | −0.779124 | − | 0.626869i | \(-0.784336\pi\) |
0.946539 | − | 0.322588i | \(-0.104553\pi\) | |||||||
\(48\) | 5.12844 | − | 4.65823i | 0.740227 | − | 0.672357i | ||||
\(49\) | 0.939693 | + | 0.342020i | 0.134242 | + | 0.0488600i | ||||
\(50\) | −0.130650 | − | 0.235636i | −0.0184767 | − | 0.0333239i | ||||
\(51\) | 10.6927 | + | 4.71088i | 1.49728 | + | 0.659655i | ||||
\(52\) | 7.10895 | + | 0.246630i | 0.985834 | + | 0.0342015i | ||||
\(53\) | 5.43873i | 0.747067i | 0.927617 | + | 0.373533i | \(0.121854\pi\) | ||||
−0.927617 | + | 0.373533i | \(0.878146\pi\) | |||||||
\(54\) | 7.34243 | + | 0.297978i | 0.999178 | + | 0.0405497i | ||||
\(55\) | − | 13.7955i | − | 1.86019i | ||||||
\(56\) | −0.827875 | − | 2.70456i | −0.110629 | − | 0.361411i | ||||
\(57\) | 0.263287 | + | 2.41450i | 0.0348732 | + | 0.319808i | ||||
\(58\) | −3.66381 | + | 2.03143i | −0.481082 | + | 0.266740i | ||||
\(59\) | 12.9311 | + | 4.70652i | 1.68348 | + | 0.612737i | 0.993780 | − | 0.111359i | \(-0.0355203\pi\) |
0.689700 | + | 0.724095i | \(0.257743\pi\) | |||||||
\(60\) | 7.10763 | + | 3.43042i | 0.917591 | + | 0.442866i | ||||
\(61\) | 1.52395 | − | 8.64277i | 0.195122 | − | 1.10659i | −0.717122 | − | 0.696948i | \(-0.754541\pi\) |
0.912244 | − | 0.409646i | \(-0.134348\pi\) | |||||||
\(62\) | −1.80204 | − | 0.350069i | −0.228860 | − | 0.0444588i | ||||
\(63\) | 1.38774 | − | 2.65973i | 0.174838 | − | 0.335095i | ||||
\(64\) | −4.69786 | + | 6.47534i | −0.587233 | + | 0.809418i | ||||
\(65\) | 2.77137 | + | 7.61426i | 0.343746 | + | 0.944433i | ||||
\(66\) | 8.55611 | + | 12.1157i | 1.05318 | + | 1.49134i | ||||
\(67\) | −3.52162 | − | 4.19690i | −0.430234 | − | 0.512733i | 0.506756 | − | 0.862090i | \(-0.330845\pi\) |
−0.936990 | + | 0.349357i | \(0.886400\pi\) | |||||||
\(68\) | −13.1978 | − | 2.80215i | −1.60047 | − | 0.339810i | ||||
\(69\) | −2.97009 | + | 3.09968i | −0.357556 | + | 0.373158i | ||||
\(70\) | 2.50370 | − | 2.02793i | 0.299250 | − | 0.242384i | ||||
\(71\) | −1.92907 | − | 3.34126i | −0.228939 | − | 0.396534i | 0.728555 | − | 0.684987i | \(-0.240192\pi\) |
−0.957494 | + | 0.288453i | \(0.906859\pi\) | |||||||
\(72\) | −8.36974 | + | 1.39549i | −0.986384 | + | 0.164461i | ||||
\(73\) | −1.77613 | + | 3.07635i | −0.207880 | + | 0.360059i | −0.951047 | − | 0.309048i | \(-0.899990\pi\) |
0.743166 | + | 0.669107i | \(0.233323\pi\) | |||||||
\(74\) | 2.04329 | + | 12.8913i | 0.237527 | + | 1.49859i | ||||
\(75\) | −0.0217363 | + | 0.329269i | −0.00250989 | + | 0.0380207i | ||||
\(76\) | −0.867260 | − | 2.66709i | −0.0994816 | − | 0.305936i | ||||
\(77\) | 5.96328 | − | 1.05149i | 0.679578 | − | 0.119828i | ||||
\(78\) | −7.15634 | − | 4.96829i | −0.810296 | − | 0.562548i | ||||
\(79\) | −0.893600 | + | 1.06495i | −0.100538 | + | 0.119816i | −0.813967 | − | 0.580911i | \(-0.802697\pi\) |
0.713429 | + | 0.700727i | \(0.247141\pi\) | |||||||
\(80\) | −8.84339 | − | 2.20063i | −0.988721 | − | 0.246038i | ||||
\(81\) | −7.36269 | − | 5.17599i | −0.818076 | − | 0.575110i | ||||
\(82\) | −0.914155 | − | 2.65392i | −0.100951 | − | 0.293076i | ||||
\(83\) | 6.03060 | + | 5.06027i | 0.661944 | + | 0.555437i | 0.910669 | − | 0.413137i | \(-0.135567\pi\) |
−0.248725 | + | 0.968574i | \(0.580011\pi\) | |||||||
\(84\) | −0.941100 | + | 3.33382i | −0.102682 | + | 0.363749i | ||||
\(85\) | −2.66884 | − | 15.1358i | −0.289477 | − | 1.64170i | ||||
\(86\) | −0.208627 | + | 12.0307i | −0.0224969 | + | 1.29730i | ||||
\(87\) | 5.11968 | + | 0.337969i | 0.548887 | + | 0.0362341i | ||||
\(88\) | −12.5298 | − | 11.6762i | −1.33568 | − | 1.24469i | ||||
\(89\) | −11.5524 | − | 6.66980i | −1.22456 | − | 0.706998i | −0.258670 | − | 0.965966i | \(-0.583284\pi\) |
−0.965886 | + | 0.258968i | \(0.916618\pi\) | |||||||
\(90\) | −5.04363 | − | 8.24567i | −0.531645 | − | 0.869170i | ||||
\(91\) | −3.08012 | + | 1.77831i | −0.322884 | + | 0.186417i | ||||
\(92\) | 2.62589 | − | 4.20444i | 0.273768 | − | 0.438343i | ||||
\(93\) | 1.62336 | + | 1.55549i | 0.168335 | + | 0.161297i | ||||
\(94\) | 4.81332 | − | 8.01278i | 0.496456 | − | 0.826455i | ||||
\(95\) | 2.44733 | − | 2.05355i | 0.251091 | − | 0.210690i | ||||
\(96\) | 9.13142 | − | 3.55207i | 0.931971 | − | 0.362532i | ||||
\(97\) | 7.40896 | − | 2.69664i | 0.752265 | − | 0.273802i | 0.0627067 | − | 0.998032i | \(-0.480027\pi\) |
0.689559 | + | 0.724230i | \(0.257804\pi\) | |||||||
\(98\) | 1.06743 | + | 0.927686i | 0.107826 | + | 0.0937105i | ||||
\(99\) | −0.775385 | − | 18.1492i | −0.0779291 | − | 1.82407i | ||||
\(100\) | −0.0531156 | − | 0.377314i | −0.00531156 | − | 0.0377314i | ||||
\(101\) | 10.5210 | + | 1.85514i | 1.04688 | + | 0.184593i | 0.670528 | − | 0.741884i | \(-0.266068\pi\) |
0.376351 | + | 0.926477i | \(0.377179\pi\) | |||||||
\(102\) | 11.7312 | + | 11.6375i | 1.16156 | + | 1.15228i | ||||
\(103\) | −5.00230 | + | 13.7437i | −0.492892 | + | 1.35421i | 0.405131 | + | 0.914259i | \(0.367226\pi\) |
−0.898022 | + | 0.439950i | \(0.854996\pi\) | |||||||
\(104\) | 9.26127 | + | 3.92745i | 0.908143 | + | 0.385118i | ||||
\(105\) | −3.92283 | + | 0.427761i | −0.382829 | + | 0.0417452i | ||||
\(106\) | −2.75558 | + | 7.18097i | −0.267645 | + | 0.697477i | ||||
\(107\) | −16.1256 | −1.55892 | −0.779459 | − | 0.626453i | \(-0.784506\pi\) | ||||
−0.779459 | + | 0.626453i | \(0.784506\pi\) | |||||||
\(108\) | 9.54352 | + | 4.11354i | 0.918326 | + | 0.395825i | ||||
\(109\) | 8.43093 | 0.807537 | 0.403768 | − | 0.914861i | \(-0.367700\pi\) | ||||
0.403768 | + | 0.914861i | \(0.367700\pi\) | |||||||
\(110\) | 6.98963 | − | 18.2148i | 0.666435 | − | 1.73671i | ||||
\(111\) | 6.44503 | − | 14.6289i | 0.611735 | − | 1.38851i | ||||
\(112\) | 0.277210 | − | 3.99038i | 0.0261939 | − | 0.377056i | ||||
\(113\) | 1.72259 | − | 4.73279i | 0.162048 | − | 0.445223i | −0.831920 | − | 0.554896i | \(-0.812758\pi\) |
0.993968 | + | 0.109673i | \(0.0349803\pi\) | |||||||
\(114\) | −0.875699 | + | 3.32135i | −0.0820167 | + | 0.311073i | ||||
\(115\) | 5.56099 | + | 0.980553i | 0.518565 | + | 0.0914370i | ||||
\(116\) | −5.86672 | + | 0.825875i | −0.544711 | + | 0.0766806i | ||||
\(117\) | 4.07394 | + | 9.86147i | 0.376636 | + | 0.911693i | ||||
\(118\) | 14.6888 | + | 12.7658i | 1.35221 | + | 1.17519i | ||||
\(119\) | 6.33918 | − | 2.30727i | 0.581112 | − | 0.211507i | ||||
\(120\) | 7.64643 | + | 8.13047i | 0.698021 | + | 0.742207i | ||||
\(121\) | 19.6615 | − | 16.4980i | 1.78741 | − | 1.49981i | ||||
\(122\) | 6.39107 | − | 10.6393i | 0.578621 | − | 0.963235i | ||||
\(123\) | −0.818679 | + | 3.33889i | −0.0738178 | + | 0.301058i | ||||
\(124\) | −2.20194 | − | 1.37523i | −0.197740 | − | 0.123499i | ||||
\(125\) | −9.48930 | + | 5.47865i | −0.848749 | + | 0.490026i | ||||
\(126\) | 3.17986 | − | 2.80864i | 0.283285 | − | 0.250214i | ||||
\(127\) | 4.27128 | + | 2.46602i | 0.379015 | + | 0.218824i | 0.677390 | − | 0.735625i | \(-0.263111\pi\) |
−0.298375 | + | 0.954449i | \(0.596445\pi\) | |||||||
\(128\) | −9.48356 | + | 6.16944i | −0.838237 | + | 0.545307i | ||||
\(129\) | 8.19304 | − | 12.2493i | 0.721357 | − | 1.07849i | ||||
\(130\) | −0.198688 | + | 11.4576i | −0.0174261 | + | 1.00489i | ||||
\(131\) | −1.33228 | − | 7.55576i | −0.116402 | − | 0.660150i | −0.986046 | − | 0.166471i | \(-0.946763\pi\) |
0.869644 | − | 0.493679i | \(-0.164348\pi\) | |||||||
\(132\) | 5.15843 | + | 20.3319i | 0.448984 | + | 1.76966i | ||||
\(133\) | 1.07420 | + | 0.901365i | 0.0931454 | + | 0.0781582i | ||||
\(134\) | −2.52333 | − | 7.32559i | −0.217983 | − | 0.632834i | ||||
\(135\) | −0.274875 | + | 11.8351i | −0.0236575 | + | 1.01860i | ||||
\(136\) | −16.0059 | − | 10.3866i | −1.37249 | − | 0.890642i | ||||
\(137\) | 12.3409 | − | 14.7074i | 1.05436 | − | 1.25654i | 0.0888824 | − | 0.996042i | \(-0.471670\pi\) |
0.965476 | − | 0.260493i | \(-0.0838851\pi\) | |||||||
\(138\) | −5.49200 | + | 2.58782i | −0.467510 | + | 0.220290i | ||||
\(139\) | 3.75304 | − | 0.661762i | 0.318328 | − | 0.0561299i | −0.0122010 | − | 0.999926i | \(-0.503884\pi\) |
0.330529 | + | 0.943796i | \(0.392773\pi\) | |||||||
\(140\) | 4.33321 | − | 1.40903i | 0.366223 | − | 0.119085i | ||||
\(141\) | −10.2699 | + | 5.05856i | −0.864879 | + | 0.426008i | ||||
\(142\) | −0.854158 | − | 5.38897i | −0.0716794 | − | 0.452233i | ||||
\(143\) | −10.7681 | + | 18.6509i | −0.900476 | + | 1.55967i | ||||
\(144\) | −11.7579 | − | 2.39808i | −0.979829 | − | 0.199840i | ||||
\(145\) | −3.37444 | − | 5.84470i | −0.280232 | − | 0.485376i | ||||
\(146\) | −3.90375 | + | 3.16193i | −0.323077 | + | 0.261683i | ||||
\(147\) | −0.483899 | − | 1.66308i | −0.0399113 | − | 0.137169i | ||||
\(148\) | −3.83366 | + | 18.0562i | −0.315125 | + | 1.48421i | ||||
\(149\) | 8.04043 | + | 9.58222i | 0.658698 | + | 0.785006i | 0.987198 | − | 0.159498i | \(-0.0509876\pi\) |
−0.328500 | + | 0.944504i | \(0.606543\pi\) | |||||||
\(150\) | −0.195526 | + | 0.423734i | −0.0159646 | + | 0.0345977i | ||||
\(151\) | −5.06142 | − | 13.9061i | −0.411893 | − | 1.13167i | −0.956183 | − | 0.292769i | \(-0.905423\pi\) |
0.544291 | − | 0.838897i | \(-0.316799\pi\) | |||||||
\(152\) | 0.206225 | − | 3.96087i | 0.0167270 | − | 0.321269i | ||||
\(153\) | −4.36181 | − | 19.7624i | −0.352631 | − | 1.59770i | ||||
\(154\) | 8.40629 | + | 1.63303i | 0.677398 | + | 0.131593i | ||||
\(155\) | 0.513534 | − | 2.91240i | 0.0412480 | − | 0.233929i | ||||
\(156\) | −6.93157 | − | 10.1856i | −0.554970 | − | 0.815504i | ||||
\(157\) | −16.5005 | − | 6.00570i | −1.31689 | − | 0.479307i | −0.414427 | − | 0.910083i | \(-0.636018\pi\) |
−0.902459 | + | 0.430775i | \(0.858240\pi\) | |||||||
\(158\) | −1.71942 | + | 0.953347i | −0.136790 | + | 0.0758442i | ||||
\(159\) | 7.59944 | − | 5.56667i | 0.602675 | − | 0.441466i | ||||
\(160\) | −10.5613 | − | 7.38616i | −0.834945 | − | 0.583927i | ||||
\(161\) | 2.47854i | 0.195336i | ||||||||
\(162\) | −7.09879 | − | 10.5644i | −0.557734 | − | 0.830020i | ||||
\(163\) | 6.04241i | 0.473278i | 0.971598 | + | 0.236639i | \(0.0760459\pi\) | ||||
−0.971598 | + | 0.236639i | \(0.923954\pi\) | |||||||
\(164\) | 0.137635 | − | 3.96724i | 0.0107475 | − | 0.309789i | ||||
\(165\) | −19.2763 | + | 14.1201i | −1.50066 | + | 1.09925i | ||||
\(166\) | 5.39861 | + | 9.73673i | 0.419013 | + | 0.755717i | ||||
\(167\) | 4.43746 | + | 1.61510i | 0.343381 | + | 0.124980i | 0.507953 | − | 0.861385i | \(-0.330402\pi\) |
−0.164573 | + | 0.986365i | \(0.552624\pi\) | |||||||
\(168\) | −2.93168 | + | 3.92495i | −0.226184 | + | 0.302817i | ||||
\(169\) | −0.0608627 | + | 0.345169i | −0.00468174 | + | 0.0265515i | ||||
\(170\) | 4.14488 | − | 21.3365i | 0.317898 | − | 1.63644i | ||||
\(171\) | 3.10426 | − | 2.83918i | 0.237388 | − | 0.217118i | ||||
\(172\) | −6.37092 | + | 15.7789i | −0.485778 | + | 1.20313i | ||||
\(173\) | 4.33247 | + | 11.9034i | 0.329392 | + | 0.904996i | 0.988266 | + | 0.152743i | \(0.0488107\pi\) |
−0.658874 | + | 0.752253i | \(0.728967\pi\) | |||||||
\(174\) | 6.58848 | + | 3.04016i | 0.499471 | + | 0.230474i | ||||
\(175\) | 0.122462 | + | 0.145945i | 0.00925727 | + | 0.0110324i | ||||
\(176\) | −10.6277 | − | 21.7649i | −0.801095 | − | 1.64059i | ||||
\(177\) | −6.65891 | − | 22.8856i | −0.500514 | − | 1.72018i | ||||
\(178\) | −11.8738 | − | 14.6595i | −0.889981 | − | 1.09878i | ||||
\(179\) | 6.45560 | + | 11.1814i | 0.482514 | + | 0.835740i | 0.999798 | − | 0.0200742i | \(-0.00639024\pi\) |
−0.517284 | + | 0.855814i | \(0.673057\pi\) | |||||||
\(180\) | −2.48156 | − | 13.4425i | −0.184965 | − | 1.00194i | ||||
\(181\) | 6.81385 | − | 11.8019i | 0.506469 | − | 0.877230i | −0.493503 | − | 0.869744i | \(-0.664284\pi\) |
0.999972 | − | 0.00748622i | \(-0.00238296\pi\) | |||||||
\(182\) | −4.96780 | + | 0.787401i | −0.368238 | + | 0.0583661i | ||||
\(183\) | −13.6362 | + | 6.71669i | −1.00802 | + | 0.496512i | ||||
\(184\) | 5.59729 | − | 4.22085i | 0.412637 | − | 0.311165i | ||||
\(185\) | −20.7075 | + | 3.65129i | −1.52244 | + | 0.268448i | ||||
\(186\) | 1.35529 | + | 2.87627i | 0.0993746 | + | 0.210898i | ||||
\(187\) | 26.2572 | − | 31.2921i | 1.92012 | − | 2.28830i | ||||
\(188\) | 10.4150 | − | 8.14088i | 0.759590 | − | 0.593735i | ||||
\(189\) | −5.13678 | + | 0.783241i | −0.373646 | + | 0.0569724i | ||||
\(190\) | 4.27176 | − | 1.47143i | 0.309906 | − | 0.106749i | ||||
\(191\) | 5.76830 | + | 4.84018i | 0.417379 | + | 0.350223i | 0.827165 | − | 0.561959i | \(-0.189952\pi\) |
−0.409786 | + | 0.912182i | \(0.634397\pi\) | |||||||
\(192\) | 13.8563 | − | 0.0634309i | 0.999990 | − | 0.00457773i | ||||
\(193\) | 3.45024 | + | 19.5673i | 0.248354 | + | 1.40849i | 0.812572 | + | 0.582860i | \(0.198066\pi\) |
−0.564218 | + | 0.825626i | \(0.690822\pi\) | |||||||
\(194\) | 11.1486 | + | 0.193331i | 0.800424 | + | 0.0138804i | ||||
\(195\) | 7.80272 | − | 11.6658i | 0.558764 | − | 0.835403i | ||||
\(196\) | 0.939345 | + | 1.76568i | 0.0670961 | + | 0.126120i | ||||
\(197\) | −5.24404 | − | 3.02765i | −0.373622 | − | 0.215711i | 0.301417 | − | 0.953492i | \(-0.402540\pi\) |
−0.675040 | + | 0.737781i | \(0.735874\pi\) | |||||||
\(198\) | 8.17170 | − | 24.3560i | 0.580737 | − | 1.73091i | ||||
\(199\) | −8.36058 | + | 4.82698i | −0.592666 | + | 0.342176i | −0.766151 | − | 0.642661i | \(-0.777830\pi\) |
0.173485 | + | 0.984836i | \(0.444497\pi\) | |||||||
\(200\) | 0.121039 | − | 0.525094i | 0.00855874 | − | 0.0371298i | ||||
\(201\) | −2.25979 | + | 9.21632i | −0.159393 | + | 0.650069i | ||||
\(202\) | 12.9514 | + | 7.77997i | 0.911256 | + | 0.547397i | ||||
\(203\) | 2.26924 | − | 1.90412i | 0.159269 | − | 0.133643i | ||||
\(204\) | 9.59291 | + | 21.3092i | 0.671638 | + | 1.49194i | ||||
\(205\) | 4.24923 | − | 1.54659i | 0.296779 | − | 0.108019i | ||||
\(206\) | −13.5681 | + | 15.6119i | −0.945335 | + | 1.08773i | ||||
\(207\) | 7.37109 | + | 0.977446i | 0.512326 | + | 0.0679372i | ||||
\(208\) | 10.2382 | + | 9.87787i | 0.709888 | + | 0.684907i | ||||
\(209\) | 8.36215 | + | 1.47447i | 0.578422 | + | 0.101991i | ||||
\(210\) | −5.39619 | − | 1.42274i | −0.372373 | − | 0.0981787i | ||||
\(211\) | 1.80117 | − | 4.94867i | 0.123997 | − | 0.340680i | −0.862126 | − | 0.506694i | \(-0.830867\pi\) |
0.986123 | + | 0.166014i | \(0.0530896\pi\) | |||||||
\(212\) | −7.27660 | + | 8.08518i | −0.499759 | + | 0.555293i | ||||
\(213\) | −2.69422 | + | 6.11532i | −0.184605 | + | 0.419015i | ||||
\(214\) | −21.2912 | − | 8.17016i | −1.45544 | − | 0.558501i | ||||
\(215\) | −19.3841 | −1.32199 | ||||||||
\(216\) | 10.5165 | + | 10.2666i | 0.715560 | + | 0.698552i | ||||
\(217\) | 1.29806 | 0.0881178 | ||||||||
\(218\) | 11.1317 | + | 4.27160i | 0.753933 | + | 0.289310i | ||||
\(219\) | 6.11644 | − | 0.666960i | 0.413310 | − | 0.0450690i | ||||
\(220\) | 18.4574 | − | 20.5084i | 1.24440 | − | 1.38267i | ||||
\(221\) | −8.20608 | + | 22.5460i | −0.552001 | + | 1.51661i | ||||
\(222\) | 15.9215 | − | 16.0496i | 1.06858 | − | 1.07718i | ||||
\(223\) | −1.26305 | − | 0.222710i | −0.0845800 | − | 0.0149137i | 0.131198 | − | 0.991356i | \(-0.458118\pi\) |
−0.215778 | + | 0.976442i | \(0.569229\pi\) | |||||||
\(224\) | 2.38777 | − | 5.12821i | 0.159540 | − | 0.342643i | ||||
\(225\) | 0.482329 | − | 0.306643i | 0.0321553 | − | 0.0204429i | ||||
\(226\) | 4.67232 | − | 5.37612i | 0.310798 | − | 0.357614i | ||||
\(227\) | −14.1237 | + | 5.14062i | −0.937426 | + | 0.341195i | −0.765149 | − | 0.643853i | \(-0.777335\pi\) |
−0.172277 | + | 0.985049i | \(0.555112\pi\) | |||||||
\(228\) | −2.83901 | + | 3.94164i | −0.188018 | + | 0.261041i | ||||
\(229\) | −6.83139 | + | 5.73222i | −0.451431 | + | 0.378796i | −0.839967 | − | 0.542638i | \(-0.817425\pi\) |
0.388536 | + | 0.921434i | \(0.372981\pi\) | |||||||
\(230\) | 6.84559 | + | 4.11219i | 0.451385 | + | 0.271150i | ||||
\(231\) | −7.57278 | − | 7.25616i | −0.498252 | − | 0.477420i | ||||
\(232\) | −8.16450 | − | 1.88199i | −0.536026 | − | 0.123559i | ||||
\(233\) | 19.2267 | − | 11.1005i | 1.25958 | − | 0.727220i | 0.286588 | − | 0.958054i | \(-0.407479\pi\) |
0.972993 | + | 0.230834i | \(0.0741455\pi\) | |||||||
\(234\) | 0.382585 | + | 15.0846i | 0.0250104 | + | 0.986110i | ||||
\(235\) | 13.0409 | + | 7.52919i | 0.850697 | + | 0.491150i | ||||
\(236\) | 12.9263 | + | 24.2974i | 0.841429 | + | 1.58163i | ||||
\(237\) | 2.40266 | + | 0.158608i | 0.156069 | + | 0.0103027i | ||||
\(238\) | 9.53887 | + | 0.165416i | 0.618313 | + | 0.0107223i | ||||
\(239\) | 4.69404 | + | 26.6212i | 0.303632 | + | 1.72198i | 0.629875 | + | 0.776696i | \(0.283106\pi\) |
−0.326243 | + | 0.945286i | \(0.605783\pi\) | |||||||
\(240\) | 5.97652 | + | 14.6091i | 0.385783 | + | 0.943014i | ||||
\(241\) | −9.96396 | − | 8.36075i | −0.641835 | − | 0.538563i | 0.262746 | − | 0.964865i | \(-0.415372\pi\) |
−0.904581 | + | 0.426302i | \(0.859816\pi\) | |||||||
\(242\) | 34.3187 | − | 11.8212i | 2.20609 | − | 0.759898i | ||||
\(243\) | 0.303573 | + | 15.5855i | 0.0194742 | + | 0.999810i | ||||
\(244\) | 13.8289 | − | 10.8094i | 0.885303 | − | 0.691999i | ||||
\(245\) | −1.46444 | + | 1.74526i | −0.0935599 | + | 0.111500i | ||||
\(246\) | −2.77261 | + | 3.99368i | −0.176775 | + | 0.254628i | ||||
\(247\) | −4.91158 | + | 0.866044i | −0.312516 | + | 0.0551051i | ||||
\(248\) | −2.21054 | − | 2.93140i | −0.140369 | − | 0.186144i | ||||
\(249\) | 0.898167 | − | 13.6058i | 0.0569190 | − | 0.862230i | ||||
\(250\) | −15.3049 | + | 2.42584i | −0.967968 | + | 0.153424i | ||||
\(251\) | −15.1098 | + | 26.1710i | −0.953723 | + | 1.65190i | −0.216458 | + | 0.976292i | \(0.569450\pi\) |
−0.737265 | + | 0.675604i | \(0.763883\pi\) | |||||||
\(252\) | 5.62152 | − | 2.09726i | 0.354123 | − | 0.132115i | ||||
\(253\) | 7.50411 | + | 12.9975i | 0.471779 | + | 0.817145i | ||||
\(254\) | 4.39011 | + | 5.42007i | 0.275460 | + | 0.340085i | ||||
\(255\) | −18.4173 | + | 19.2209i | −1.15334 | + | 1.20366i | ||||
\(256\) | −15.6473 | + | 3.34083i | −0.977958 | + | 0.208802i | ||||
\(257\) | −0.786645 | − | 0.937486i | −0.0490695 | − | 0.0584788i | 0.740951 | − | 0.671559i | \(-0.234375\pi\) |
−0.790021 | + | 0.613080i | \(0.789930\pi\) | |||||||
\(258\) | 17.0238 | − | 12.0222i | 1.05986 | − | 0.748470i | ||||
\(259\) | −3.15662 | − | 8.67273i | −0.196143 | − | 0.538897i | ||||
\(260\) | −6.06740 | + | 15.0272i | −0.376284 | + | 0.931947i | ||||
\(261\) | −4.76788 | − | 7.49956i | −0.295124 | − | 0.464211i | ||||
\(262\) | 2.06912 | − | 10.6512i | 0.127831 | − | 0.658032i | ||||
\(263\) | −0.474462 | + | 2.69081i | −0.0292566 | + | 0.165922i | −0.995935 | − | 0.0900698i | \(-0.971291\pi\) |
0.966679 | + | 0.255992i | \(0.0824021\pi\) | |||||||
\(264\) | −3.49044 | + | 29.4586i | −0.214822 | + | 1.81305i | ||||
\(265\) | −11.6436 | − | 4.23794i | −0.715263 | − | 0.260334i | ||||
\(266\) | 0.961631 | + | 1.73436i | 0.0589614 | + | 0.106341i | ||||
\(267\) | 2.50460 | + | 22.9687i | 0.153279 | + | 1.40566i | ||||
\(268\) | 0.379913 | − | 10.9507i | 0.0232069 | − | 0.668922i | ||||
\(269\) | 23.4383i | 1.42906i | 0.699607 | + | 0.714528i | \(0.253359\pi\) | ||||
−0.699607 | + | 0.714528i | \(0.746641\pi\) | |||||||
\(270\) | −6.35926 | + | 15.4870i | −0.387012 | + | 0.942510i | ||||
\(271\) | 24.3450i | 1.47885i | 0.673239 | + | 0.739425i | \(0.264903\pi\) | ||||
−0.673239 | + | 0.739425i | \(0.735097\pi\) | |||||||
\(272\) | −15.8708 | − | 21.8233i | −0.962307 | − | 1.32323i | ||||
\(273\) | 5.63737 | + | 2.48365i | 0.341189 | + | 0.150318i | ||||
\(274\) | 23.7459 | − | 13.1661i | 1.43454 | − | 0.795392i | ||||
\(275\) | 1.08406 | + | 0.394566i | 0.0653713 | + | 0.0237932i | ||||
\(276\) | −8.56245 | + | 0.634228i | −0.515399 | + | 0.0381760i | ||||
\(277\) | −2.00863 | + | 11.3915i | −0.120687 | + | 0.684450i | 0.863090 | + | 0.505051i | \(0.168526\pi\) |
−0.983776 | + | 0.179399i | \(0.942585\pi\) | |||||||
\(278\) | 5.29057 | + | 1.02776i | 0.317307 | + | 0.0616408i | ||||
\(279\) | 0.511907 | − | 3.86038i | 0.0306470 | − | 0.231115i | ||||
\(280\) | 6.43521 | + | 0.335052i | 0.384577 | + | 0.0200232i | ||||
\(281\) | −1.42918 | − | 3.92665i | −0.0852580 | − | 0.234244i | 0.889736 | − | 0.456475i | \(-0.150888\pi\) |
−0.974994 | + | 0.222231i | \(0.928666\pi\) | |||||||
\(282\) | −16.1227 | + | 1.47570i | −0.960091 | + | 0.0878768i | ||||
\(283\) | −9.09125 | − | 10.8345i | −0.540419 | − | 0.644046i | 0.424863 | − | 0.905258i | \(-0.360322\pi\) |
−0.965282 | + | 0.261212i | \(0.915878\pi\) | |||||||
\(284\) | 1.60259 | − | 7.54804i | 0.0950963 | − | 0.447894i | ||||
\(285\) | −5.37429 | − | 1.31775i | −0.318346 | − | 0.0780567i | ||||
\(286\) | −23.6672 | + | 19.1698i | −1.39947 | + | 1.13354i | ||||
\(287\) | 0.992406 | + | 1.71890i | 0.0585799 | + | 0.101463i | ||||
\(288\) | −14.3095 | − | 9.12354i | −0.843194 | − | 0.537610i | ||||
\(289\) | 14.2544 | − | 24.6893i | 0.838492 | − | 1.45231i | ||||
\(290\) | −1.49414 | − | 9.42668i | −0.0877389 | − | 0.553554i | ||||
\(291\) | −11.3512 | − | 7.59233i | −0.665420 | − | 0.445070i | ||||
\(292\) | −6.75630 | + | 2.19695i | −0.395382 | + | 0.128567i | ||||
\(293\) | 24.3673 | − | 4.29661i | 1.42355 | − | 0.251011i | 0.591768 | − | 0.806108i | \(-0.298430\pi\) |
0.831785 | + | 0.555097i | \(0.187319\pi\) | |||||||
\(294\) | 0.203703 | − | 2.44100i | 0.0118802 | − | 0.142362i | ||||
\(295\) | −20.1521 | + | 24.0164i | −1.17330 | + | 1.39829i | ||||
\(296\) | −14.2101 | + | 21.8979i | −0.825942 | + | 1.27279i | ||||
\(297\) | −24.5660 | + | 19.6596i | −1.42546 | + | 1.14077i | ||||
\(298\) | 5.76119 | + | 16.7255i | 0.333737 | + | 0.968884i | ||||
\(299\) | −6.75284 | − | 5.66630i | −0.390527 | − | 0.327691i | ||||
\(300\) | −0.472849 | + | 0.460408i | −0.0273000 | + | 0.0265817i | ||||
\(301\) | −1.47745 | − | 8.37901i | −0.0851586 | − | 0.482958i | ||||
\(302\) | 0.362870 | − | 20.9252i | 0.0208808 | − | 1.20411i | ||||
\(303\) | −8.17635 | − | 16.5996i | −0.469719 | − | 0.953621i | ||||
\(304\) | 2.27909 | − | 5.12520i | 0.130715 | − | 0.293951i | ||||
\(305\) | 17.3156 | + | 9.99717i | 0.991489 | + | 0.572436i | ||||
\(306\) | 4.25373 | − | 28.3031i | 0.243169 | − | 1.61798i | ||||
\(307\) | −15.1924 | + | 8.77136i | −0.867078 | + | 0.500608i | −0.866376 | − | 0.499392i | \(-0.833557\pi\) |
−0.000702163 | 1.00000i | \(0.500224\pi\) | ||||||||
\(308\) | 10.2718 | + | 6.41527i | 0.585289 | + | 0.365544i | ||||
\(309\) | 24.3238 | − | 7.07739i | 1.38373 | − | 0.402619i | ||||
\(310\) | 2.15363 | − | 3.58517i | 0.122318 | − | 0.203624i | ||||
\(311\) | 0.390222 | − | 0.327435i | 0.0221274 | − | 0.0185671i | −0.631657 | − | 0.775248i | \(-0.717625\pi\) |
0.653784 | + | 0.756681i | \(0.273180\pi\) | |||||||
\(312\) | −3.99139 | − | 16.9605i | −0.225968 | − | 0.960197i | ||||
\(313\) | −19.9950 | + | 7.27757i | −1.13018 | + | 0.411353i | −0.838358 | − | 0.545120i | \(-0.816484\pi\) |
−0.291824 | + | 0.956472i | \(0.594262\pi\) | |||||||
\(314\) | −18.7435 | − | 16.2897i | −1.05776 | − | 0.919282i | ||||
\(315\) | 4.61281 | + | 5.04347i | 0.259902 | + | 0.284168i | ||||
\(316\) | −2.75324 | + | 0.387582i | −0.154882 | + | 0.0218032i | ||||
\(317\) | 13.8528 | + | 2.44262i | 0.778049 | + | 0.137191i | 0.548550 | − | 0.836118i | \(-0.315180\pi\) |
0.229499 | + | 0.973309i | \(0.426291\pi\) | |||||||
\(318\) | 12.8542 | − | 3.49957i | 0.720830 | − | 0.196246i | ||||
\(319\) | 6.13496 | − | 16.8557i | 0.343492 | − | 0.943735i | ||||
\(320\) | −10.2023 | − | 15.1032i | −0.570323 | − | 0.844295i | ||||
\(321\) | 16.5049 | + | 22.5320i | 0.921215 | + | 1.25761i | ||||
\(322\) | −1.25577 | + | 3.27251i | −0.0699815 | + | 0.182370i | ||||
\(323\) | 9.45977 | 0.526356 | ||||||||
\(324\) | −4.02026 | − | 17.5453i | −0.223348 | − | 0.974739i | ||||
\(325\) | −0.677596 | −0.0375863 | ||||||||
\(326\) | −3.06144 | + | 7.97804i | −0.169557 | + | 0.441863i | ||||
\(327\) | −8.62926 | − | 11.7804i | −0.477199 | − | 0.651457i | ||||
\(328\) | 2.19176 | − | 5.16837i | 0.121020 | − | 0.285375i | ||||
\(329\) | −2.26060 | + | 6.21096i | −0.124631 | + | 0.342421i | ||||
\(330\) | −32.6053 | + | 8.87680i | −1.79486 | + | 0.488652i | ||||
\(331\) | 29.1384 | + | 5.13789i | 1.60159 | + | 0.282404i | 0.901869 | − | 0.432009i | \(-0.142195\pi\) |
0.699724 | + | 0.714413i | \(0.253306\pi\) | |||||||
\(332\) | 2.19480 | + | 15.5910i | 0.120455 | + | 0.855670i | ||||
\(333\) | −27.0373 | + | 5.96746i | −1.48163 | + | 0.327015i | ||||
\(334\) | 5.04065 | + | 4.38076i | 0.275812 | + | 0.239705i | ||||
\(335\) | 11.7291 | − | 4.26905i | 0.640830 | − | 0.233243i | ||||
\(336\) | −5.85942 | + | 3.69691i | −0.319658 | + | 0.201683i | ||||
\(337\) | 16.0120 | − | 13.4356i | 0.872228 | − | 0.731886i | −0.0923382 | − | 0.995728i | \(-0.529434\pi\) |
0.964566 | + | 0.263842i | \(0.0849896\pi\) | |||||||
\(338\) | −0.255242 | + | 0.424904i | −0.0138834 | + | 0.0231117i | ||||
\(339\) | −8.37616 | + | 2.43717i | −0.454931 | + | 0.132369i | ||||
\(340\) | 16.2830 | − | 26.0714i | 0.883069 | − | 1.41392i | ||||
\(341\) | 6.80703 | − | 3.93004i | 0.368621 | − | 0.212824i | ||||
\(342\) | 5.53717 | − | 2.17589i | 0.299416 | − | 0.117659i | ||||
\(343\) | −0.866025 | − | 0.500000i | −0.0467610 | − | 0.0269975i | ||||
\(344\) | −16.4063 | + | 17.6056i | −0.884568 | + | 0.949233i | ||||
\(345\) | −4.32170 | − | 8.77390i | −0.232673 | − | 0.472371i | ||||
\(346\) | −0.310609 | + | 17.9116i | −0.0166984 | + | 0.962932i | ||||
\(347\) | −0.284950 | − | 1.61603i | −0.0152969 | − | 0.0867532i | 0.976204 | − | 0.216856i | \(-0.0695803\pi\) |
−0.991500 | + | 0.130103i | \(0.958469\pi\) | |||||||
\(348\) | 7.15871 | + | 7.35216i | 0.383747 | + | 0.394117i | ||||
\(349\) | 8.43231 | + | 7.07555i | 0.451371 | + | 0.378745i | 0.839944 | − | 0.542672i | \(-0.182587\pi\) |
−0.388573 | + | 0.921418i | \(0.627032\pi\) | |||||||
\(350\) | 0.0877475 | + | 0.254743i | 0.00469030 | + | 0.0136166i | ||||
\(351\) | 9.60948 | − | 15.7859i | 0.512916 | − | 0.842589i | ||||
\(352\) | −3.00482 | − | 34.1217i | −0.160158 | − | 1.81869i | ||||
\(353\) | −10.4682 | + | 12.4756i | −0.557168 | + | 0.664007i | −0.968945 | − | 0.247278i | \(-0.920464\pi\) |
0.411777 | + | 0.911285i | \(0.364908\pi\) | |||||||
\(354\) | 2.80315 | − | 33.5905i | 0.148986 | − | 1.78532i | ||||
\(355\) | 8.65637 | − | 1.52635i | 0.459432 | − | 0.0810103i | ||||
\(356\) | −8.25010 | − | 25.3716i | −0.437255 | − | 1.34469i | ||||
\(357\) | −9.71222 | − | 6.49608i | −0.514025 | − | 0.343809i | ||||
\(358\) | 2.85842 | + | 18.0341i | 0.151072 | + | 0.953131i | ||||
\(359\) | 14.2663 | − | 24.7099i | 0.752944 | − | 1.30414i | −0.193446 | − | 0.981111i | \(-0.561966\pi\) |
0.946390 | − | 0.323026i | \(-0.104700\pi\) | |||||||
\(360\) | 3.53425 | − | 19.0060i | 0.186271 | − | 1.00170i | ||||
\(361\) | −8.51681 | − | 14.7516i | −0.448253 | − | 0.776397i | ||||
\(362\) | 14.9761 | − | 12.1303i | 0.787129 | − | 0.637552i | ||||
\(363\) | −43.1763 | − | 10.5866i | −2.26617 | − | 0.555653i | ||||
\(364\) | −6.95812 | − | 1.47734i | −0.364705 | − | 0.0774337i | ||||
\(365\) | −5.20208 | − | 6.19960i | −0.272290 | − | 0.324502i | ||||
\(366\) | −21.4075 | + | 1.95942i | −1.11899 | + | 0.102421i | ||||
\(367\) | 0.151591 | + | 0.416493i | 0.00791300 | + | 0.0217408i | 0.943586 | − | 0.331127i | \(-0.107429\pi\) |
−0.935673 | + | 0.352868i | \(0.885207\pi\) | |||||||
\(368\) | 9.52885 | − | 2.73705i | 0.496726 | − | 0.142678i | ||||
\(369\) | 5.50331 | − | 2.27351i | 0.286491 | − | 0.118354i | ||||
\(370\) | −29.1908 | − | 5.67068i | −1.51756 | − | 0.294805i | ||||
\(371\) | 0.944425 | − | 5.35610i | 0.0490321 | − | 0.278075i | ||||
\(372\) | 0.332157 | + | 4.48432i | 0.0172215 | + | 0.232501i | ||||
\(373\) | −15.9303 | − | 5.79817i | −0.824841 | − | 0.300218i | −0.105101 | − | 0.994462i | \(-0.533517\pi\) |
−0.719740 | + | 0.694244i | \(0.755739\pi\) | |||||||
\(374\) | 50.5228 | − | 28.0128i | 2.61247 | − | 1.44851i | ||||
\(375\) | 17.3678 | + | 7.65170i | 0.896867 | + | 0.395132i | ||||
\(376\) | 17.8759 | − | 5.47190i | 0.921881 | − | 0.282192i | ||||
\(377\) | 10.5357i | 0.542616i | ||||||||
\(378\) | −7.17913 | − | 1.56845i | −0.369255 | − | 0.0806724i | ||||
\(379\) | 26.9722i | 1.38547i | 0.721192 | + | 0.692735i | \(0.243594\pi\) | ||||
−0.721192 | + | 0.692735i | \(0.756406\pi\) | |||||||
\(380\) | 6.38568 | + | 0.221538i | 0.327579 | + | 0.0113647i | ||||
\(381\) | −0.926025 | − | 8.49222i | −0.0474417 | − | 0.435070i | ||||
\(382\) | 5.16380 | + | 9.31324i | 0.264203 | + | 0.476507i | ||||
\(383\) | −17.5691 | − | 6.39462i | −0.897738 | − | 0.326750i | −0.148392 | − | 0.988929i | \(-0.547410\pi\) |
−0.749346 | + | 0.662179i | \(0.769632\pi\) | |||||||
\(384\) | 18.3271 | + | 6.93664i | 0.935251 | + | 0.353984i | ||||
\(385\) | −2.39557 | + | 13.5860i | −0.122090 | + | 0.692404i | ||||
\(386\) | −5.35845 | + | 27.5836i | −0.272738 | + | 1.40397i | ||||
\(387\) | −25.5015 | + | 1.08950i | −1.29632 | + | 0.0553822i | ||||
\(388\) | 14.6220 | + | 5.90380i | 0.742320 | + | 0.299720i | ||||
\(389\) | −1.00215 | − | 2.75337i | −0.0508108 | − | 0.139601i | 0.911691 | − | 0.410876i | \(-0.134777\pi\) |
−0.962502 | + | 0.271275i | \(0.912555\pi\) | |||||||
\(390\) | 16.2128 | − | 11.4495i | 0.820967 | − | 0.579766i | ||||
\(391\) | 10.7476 | + | 12.8085i | 0.543528 | + | 0.647752i | ||||
\(392\) | 0.345657 | + | 2.80723i | 0.0174583 | + | 0.141786i | ||||
\(393\) | −9.19391 | + | 9.59508i | −0.463771 | + | 0.484008i | ||||
\(394\) | −5.38993 | − | 6.65446i | −0.271541 | − | 0.335247i | ||||
\(395\) | −1.58362 | − | 2.74291i | −0.0796806 | − | 0.138011i | ||||
\(396\) | 23.1296 | − | 28.0180i | 1.16231 | − | 1.40796i | ||||
\(397\) | −11.0426 | + | 19.1264i | −0.554214 | + | 0.959927i | 0.443750 | + | 0.896150i | \(0.353648\pi\) |
−0.997964 | + | 0.0637762i | \(0.979686\pi\) | |||||||
\(398\) | −13.4844 | + | 2.13730i | −0.675914 | + | 0.107133i | ||||
\(399\) | 0.159987 | − | 2.42354i | 0.00800935 | − | 0.121329i | ||||
\(400\) | 0.425856 | − | 0.631978i | 0.0212928 | − | 0.0315989i | ||||
\(401\) | −24.3165 | + | 4.28765i | −1.21431 | + | 0.214115i | −0.743873 | − | 0.668321i | \(-0.767013\pi\) |
−0.470433 | + | 0.882436i | \(0.655902\pi\) | |||||||
\(402\) | −7.65322 | + | 11.0237i | −0.381708 | + | 0.549813i | ||||
\(403\) | −2.96755 | + | 3.53659i | −0.147824 | + | 0.176170i | ||||
\(404\) | 13.1584 | + | 16.8341i | 0.654656 | + | 0.837529i | ||||
\(405\) | 16.8182 | − | 11.7294i | 0.835706 | − | 0.582838i | ||||
\(406\) | 3.96090 | − | 1.36435i | 0.196576 | − | 0.0677117i | ||||
\(407\) | −42.8112 | − | 35.9229i | −2.12207 | − | 1.78063i | ||||
\(408\) | 1.86943 | + | 32.9957i | 0.0925505 | + | 1.63353i | ||||
\(409\) | −3.16163 | − | 17.9305i | −0.156333 | − | 0.886606i | −0.957557 | − | 0.288242i | \(-0.906929\pi\) |
0.801225 | − | 0.598363i | \(-0.204182\pi\) | |||||||
\(410\) | 6.39402 | + | 0.110880i | 0.315778 | + | 0.00547599i | ||||
\(411\) | −33.1816 | − | 2.19044i | −1.63673 | − | 0.108046i | ||||
\(412\) | −25.8244 | + | 13.7386i | −1.27228 | + | 0.676854i | ||||
\(413\) | −11.9173 | − | 6.88047i | −0.586413 | − | 0.338566i | ||||
\(414\) | 9.23711 | + | 5.02519i | 0.453979 | + | 0.246974i | ||||
\(415\) | −15.5325 | + | 8.96771i | −0.762462 | + | 0.440208i | ||||
\(416\) | 8.51313 | + | 18.2294i | 0.417391 | + | 0.893769i | ||||
\(417\) | −4.76599 | − | 4.56672i | −0.233392 | − | 0.223633i | ||||
\(418\) | 10.2938 | + | 6.18356i | 0.503487 | + | 0.302448i | ||||
\(419\) | 16.2384 | − | 13.6257i | 0.793299 | − | 0.665657i | −0.153260 | − | 0.988186i | \(-0.548977\pi\) |
0.946560 | + | 0.322529i | \(0.104533\pi\) | |||||||
\(420\) | −6.40396 | − | 4.61253i | −0.312481 | − | 0.225069i | ||||
\(421\) | −10.9774 | + | 3.99545i | −0.535006 | + | 0.194726i | −0.595372 | − | 0.803450i | \(-0.702995\pi\) |
0.0603662 | + | 0.998176i | \(0.480773\pi\) | |||||||
\(422\) | 4.88544 | − | 5.62135i | 0.237819 | − | 0.273643i | ||||
\(423\) | 17.5797 | + | 9.17234i | 0.854754 | + | 0.445975i | ||||
\(424\) | −13.7040 | + | 6.98844i | −0.665526 | + | 0.339388i | ||||
\(425\) | 1.26571 | + | 0.223178i | 0.0613958 | + | 0.0108257i | ||||
\(426\) | −6.65567 | + | 6.70925i | −0.322468 | + | 0.325064i | ||||
\(427\) | −3.00160 | + | 8.24684i | −0.145258 | + | 0.399093i | ||||
\(428\) | −23.9722 | − | 21.5748i | −1.15874 | − | 1.04286i | ||||
\(429\) | 37.0821 | − | 4.04358i | 1.79034 | − | 0.195226i | ||||
\(430\) | −25.5937 | − | 9.82114i | −1.23424 | − | 0.473618i | ||||
\(431\) | −30.9380 | −1.49023 | −0.745115 | − | 0.666936i | \(-0.767606\pi\) | ||||
−0.745115 | + | 0.666936i | \(0.767606\pi\) | |||||||
\(432\) | 8.68375 | + | 18.8837i | 0.417797 | + | 0.908540i | ||||
\(433\) | 13.5467 | 0.651012 | 0.325506 | − | 0.945540i | \(-0.394465\pi\) | ||||
0.325506 | + | 0.945540i | \(0.394465\pi\) | |||||||
\(434\) | 1.71388 | + | 0.657672i | 0.0822687 | + | 0.0315692i | ||||
\(435\) | −4.71288 | + | 10.6972i | −0.225965 | + | 0.512893i | ||||
\(436\) | 12.5334 | + | 11.2799i | 0.600240 | + | 0.540211i | ||||
\(437\) | −1.18872 | + | 3.26599i | −0.0568643 | + | 0.156233i | ||||
\(438\) | 8.41369 | + | 2.21833i | 0.402022 | + | 0.105996i | ||||
\(439\) | −17.4324 | − | 3.07380i | −0.832002 | − | 0.146704i | −0.258606 | − | 0.965983i | \(-0.583263\pi\) |
−0.573396 | + | 0.819278i | \(0.694374\pi\) | |||||||
\(440\) | 34.7607 | − | 17.7264i | 1.65715 | − | 0.845074i | ||||
\(441\) | −1.82851 | + | 2.37835i | −0.0870720 | + | 0.113255i | ||||
\(442\) | −22.2579 | + | 25.6107i | −1.05870 | + | 1.21818i | ||||
\(443\) | 13.5604 | − | 4.93559i | 0.644275 | − | 0.234497i | 0.000842533 | − | 1.00000i | \(-0.499732\pi\) |
0.643433 | + | 0.765503i | \(0.277510\pi\) | |||||||
\(444\) | 29.1534 | − | 13.1242i | 1.38356 | − | 0.622848i | ||||
\(445\) | 23.2810 | − | 19.5351i | 1.10363 | − | 0.926053i | ||||
\(446\) | −1.55482 | − | 0.933987i | −0.0736227 | − | 0.0442256i | ||||
\(447\) | 5.15948 | − | 21.0424i | 0.244035 | − | 0.995271i | ||||
\(448\) | 5.75092 | − | 5.56119i | 0.271706 | − | 0.262742i | ||||
\(449\) | 10.6917 | − | 6.17285i | 0.504572 | − | 0.291315i | −0.226028 | − | 0.974121i | \(-0.572574\pi\) |
0.730600 | + | 0.682806i | \(0.239241\pi\) | |||||||
\(450\) | 0.792202 | − | 0.160497i | 0.0373447 | − | 0.00756588i | ||||
\(451\) | 10.4084 | + | 6.00928i | 0.490112 | + | 0.282966i | ||||
\(452\) | 8.89291 | − | 4.73104i | 0.418287 | − | 0.222529i | ||||
\(453\) | −14.2503 | + | 21.3055i | −0.669538 | + | 1.00102i | ||||
\(454\) | −21.2527 | − | 0.368548i | −0.997438 | − | 0.0172968i | ||||
\(455\) | −1.40706 | − | 7.97983i | −0.0659639 | − | 0.374100i | ||||
\(456\) | −5.74553 | + | 3.76589i | −0.269059 | + | 0.176354i | ||||
\(457\) | −14.6036 | − | 12.2539i | −0.683128 | − | 0.573213i | 0.233790 | − | 0.972287i | \(-0.424887\pi\) |
−0.916919 | + | 0.399074i | \(0.869331\pi\) | |||||||
\(458\) | −11.9240 | + | 4.10729i | −0.557173 | + | 0.191921i | ||||
\(459\) | −23.1493 | + | 26.3220i | −1.08051 | + | 1.22861i | ||||
\(460\) | 6.95503 | + | 8.89786i | 0.324280 | + | 0.414865i | ||||
\(461\) | 26.4157 | − | 31.4810i | 1.23030 | − | 1.46622i | 0.392946 | − | 0.919561i | \(-0.371456\pi\) |
0.837357 | − | 0.546657i | \(-0.184100\pi\) | |||||||
\(462\) | −6.32225 | − | 13.4174i | −0.294138 | − | 0.624234i | ||||
\(463\) | −33.2614 | + | 5.86489i | −1.54579 | + | 0.272564i | −0.880509 | − | 0.474029i | \(-0.842799\pi\) |
−0.665280 | + | 0.746594i | \(0.731688\pi\) | |||||||
\(464\) | −9.82639 | − | 6.62148i | −0.456179 | − | 0.307394i | ||||
\(465\) | −4.59505 | + | 2.26336i | −0.213091 | + | 0.104961i | ||||
\(466\) | 31.0099 | − | 4.91510i | 1.43651 | − | 0.227688i | ||||
\(467\) | −0.744255 | + | 1.28909i | −0.0344400 | + | 0.0596518i | −0.882732 | − | 0.469877i | \(-0.844298\pi\) |
0.848292 | + | 0.529529i | \(0.177631\pi\) | |||||||
\(468\) | −7.13759 | + | 20.1106i | −0.329935 | + | 0.929614i | ||||
\(469\) | 2.73933 | + | 4.74466i | 0.126491 | + | 0.219088i | ||||
\(470\) | 13.4037 | + | 16.5484i | 0.618269 | + | 0.763321i | ||||
\(471\) | 8.49703 | + | 29.2029i | 0.391523 | + | 1.34560i | ||||
\(472\) | 4.75656 | + | 38.6301i | 0.218939 | + | 1.77809i | ||||
\(473\) | −33.1163 | − | 39.4665i | −1.52269 | − | 1.81467i | ||||
\(474\) | 3.09197 | + | 1.42674i | 0.142019 | + | 0.0655326i | ||||
\(475\) | 0.0913733 | + | 0.251046i | 0.00419249 | + | 0.0115188i | ||||
\(476\) | 12.5107 | + | 5.05136i | 0.573429 | + | 0.231529i | ||||
\(477\) | −15.5564 | − | 4.92094i | −0.712280 | − | 0.225314i | ||||
\(478\) | −7.29014 | + | 37.5273i | −0.333443 | + | 1.71646i | ||||
\(479\) | 0.545454 | − | 3.09343i | 0.0249224 | − | 0.141342i | −0.969808 | − | 0.243872i | \(-0.921582\pi\) |
0.994730 | + | 0.102529i | \(0.0326936\pi\) | |||||||
\(480\) | 0.489207 | + | 22.3170i | 0.0223291 | + | 1.01863i | ||||
\(481\) | 30.8456 | + | 11.2269i | 1.40644 | + | 0.511901i | ||||
\(482\) | −8.91976 | − | 16.0874i | −0.406284 | − | 0.732759i | ||||
\(483\) | 3.46322 | − | 2.53684i | 0.157582 | − | 0.115430i | ||||
\(484\) | 51.3017 | + | 1.77981i | 2.33189 | + | 0.0809003i | ||||
\(485\) | 17.9629i | 0.815653i | ||||||||
\(486\) | −7.49571 | + | 20.7320i | −0.340012 | + | 0.940421i | ||||
\(487\) | 1.73181i | 0.0784756i | 0.999230 | + | 0.0392378i | \(0.0124930\pi\) | ||||
−0.999230 | + | 0.0392378i | \(0.987507\pi\) | |||||||
\(488\) | 23.7355 | − | 7.26552i | 1.07445 | − | 0.328895i | ||||
\(489\) | 8.44296 | − | 6.18455i | 0.381804 | − | 0.279675i | ||||
\(490\) | −2.81781 | + | 1.56236i | −0.127296 | + | 0.0705802i | ||||
\(491\) | 37.6125 | + | 13.6898i | 1.69743 | + | 0.617813i | 0.995528 | − | 0.0944623i | \(-0.0301132\pi\) |
0.701900 | + | 0.712276i | \(0.252335\pi\) | |||||||
\(492\) | −5.68422 | + | 3.86825i | −0.256265 | + | 0.174394i | ||||
\(493\) | 3.47012 | − | 19.6800i | 0.156286 | − | 0.886343i | ||||
\(494\) | −6.92375 | − | 1.34502i | −0.311514 | − | 0.0605154i | ||||
\(495\) | 39.4594 | + | 12.4822i | 1.77357 | + | 0.561031i | ||||
\(496\) | −1.43344 | − | 4.99044i | −0.0643635 | − | 0.224077i | ||||
\(497\) | 1.31956 | + | 3.62547i | 0.0591906 | + | 0.162625i | ||||
\(498\) | 8.07936 | − | 17.5092i | 0.362045 | − | 0.784604i | ||||
\(499\) | 7.28944 | + | 8.68722i | 0.326320 | + | 0.388893i | 0.904115 | − | 0.427289i | \(-0.140531\pi\) |
−0.577795 | + | 0.816182i | \(0.696087\pi\) | |||||||
\(500\) | −21.4368 | − | 4.55143i | −0.958681 | − | 0.203546i | ||||
\(501\) | −2.28509 | − | 7.85348i | −0.102090 | − | 0.350868i | ||||
\(502\) | −33.2098 | + | 26.8990i | −1.48223 | + | 1.20056i | ||||
\(503\) | −0.813920 | − | 1.40975i | −0.0362909 | − | 0.0628577i | 0.847309 | − | 0.531099i | \(-0.178221\pi\) |
−0.883600 | + | 0.468242i | \(0.844888\pi\) | |||||||
\(504\) | 8.48491 | + | 0.0790969i | 0.377948 | + | 0.00352326i | ||||
\(505\) | −12.1697 | + | 21.0786i | −0.541546 | + | 0.937985i | ||||
\(506\) | 3.32268 | + | 20.9631i | 0.147711 | + | 0.931925i | ||||
\(507\) | 0.544593 | − | 0.268247i | 0.0241862 | − | 0.0119133i | ||||
\(508\) | 3.05031 | + | 9.38062i | 0.135336 | + | 0.416198i | ||||
\(509\) | 17.3963 | − | 3.06744i | 0.771078 | − | 0.135962i | 0.225751 | − | 0.974185i | \(-0.427516\pi\) |
0.545327 | + | 0.838223i | \(0.316405\pi\) | |||||||
\(510\) | −34.0555 | + | 16.0469i | −1.50800 | + | 0.710568i | ||||
\(511\) | 2.28335 | − | 2.72119i | 0.101009 | − | 0.120378i | ||||
\(512\) | −22.3524 | − | 3.51682i | −0.987848 | − | 0.155423i | ||||
\(513\) | −7.14442 | − | 1.43155i | −0.315434 | − | 0.0632045i | ||||
\(514\) | −0.563652 | − | 1.63636i | −0.0248616 | − | 0.0721768i | ||||
\(515\) | −25.5257 | − | 21.4186i | −1.12480 | − | 0.943816i | ||||
\(516\) | 28.5684 | − | 7.24813i | 1.25765 | − | 0.319081i | ||||
\(517\) | 6.94987 | + | 39.4147i | 0.305655 | + | 1.73345i | ||||
\(518\) | 0.226308 | − | 13.0503i | 0.00994341 | − | 0.573397i | ||||
\(519\) | 12.1980 | − | 18.2371i | 0.535432 | − | 0.800518i | ||||
\(520\) | −15.6247 | + | 16.7669i | −0.685188 | + | 0.735277i | ||||
\(521\) | −8.11328 | − | 4.68421i | −0.355449 | − | 0.205219i | 0.311633 | − | 0.950202i | \(-0.399124\pi\) |
−0.667083 | + | 0.744984i | \(0.732457\pi\) | |||||||
\(522\) | −2.49550 | − | 12.3176i | −0.109225 | − | 0.539129i | ||||
\(523\) | −5.35242 | + | 3.09022i | −0.234045 | + | 0.135126i | −0.612437 | − | 0.790520i | \(-0.709811\pi\) |
0.378392 | + | 0.925646i | \(0.376477\pi\) | |||||||
\(524\) | 8.12846 | − | 13.0148i | 0.355093 | − | 0.568556i | ||||
\(525\) | 0.0785830 | − | 0.320492i | 0.00342964 | − | 0.0139874i | ||||
\(526\) | −1.98977 | + | 3.31239i | −0.0867582 | + | 0.144427i | ||||
\(527\) | 6.70803 | − | 5.62871i | 0.292206 | − | 0.245190i | ||||
\(528\) | −19.5340 | + | 37.1269i | −0.850109 | + | 1.61574i | ||||
\(529\) | 15.8403 | − | 5.76538i | 0.688707 | − | 0.250669i | ||||
\(530\) | −13.2264 | − | 11.4949i | −0.574517 | − | 0.499305i | ||||
\(531\) | −25.1621 | + | 32.7283i | −1.09194 | + | 1.42029i | ||||
\(532\) | 0.390950 | + | 2.77717i | 0.0169498 | + | 0.120405i | ||||
\(533\) | −6.95196 | − | 1.22582i | −0.301123 | − | 0.0530961i | ||||
\(534\) | −8.33038 | + | 31.5955i | −0.360491 | + | 1.36727i | ||||
\(535\) | 12.5653 | − | 34.5228i | 0.543245 | − | 1.49255i | ||||
\(536\) | 6.04990 | − | 14.2662i | 0.261316 | − | 0.616206i | ||||
\(537\) | 9.01615 | − | 20.4648i | 0.389076 | − | 0.883120i | ||||
\(538\) | −11.8752 | + | 30.9465i | −0.511976 | + | 1.33420i | ||||
\(539\) | −6.05527 | −0.260819 | ||||||||
\(540\) | −16.2430 | + | 17.2262i | −0.698988 | + | 0.741296i | ||||
\(541\) | 15.2284 | 0.654720 | 0.327360 | − | 0.944900i | \(-0.393841\pi\) | ||||
0.327360 | + | 0.944900i | \(0.393841\pi\) | |||||||
\(542\) | −12.3346 | + | 32.1436i | −0.529816 | + | 1.38069i | ||||
\(543\) | −23.4648 | + | 2.55869i | −1.00697 | + | 0.109804i | ||||
\(544\) | −9.89782 | − | 36.8553i | −0.424366 | − | 1.58016i | ||||
\(545\) | −6.56950 | + | 18.0496i | −0.281407 | + | 0.773158i | ||||
\(546\) | 6.18488 | + | 6.13549i | 0.264689 | + | 0.262575i | ||||
\(547\) | 27.3638 | + | 4.82498i | 1.16999 | + | 0.206301i | 0.724688 | − | 0.689077i | \(-0.241984\pi\) |
0.445305 | + | 0.895379i | \(0.353095\pi\) | |||||||
\(548\) | 38.0233 | − | 5.35265i | 1.62427 | − | 0.228654i | ||||
\(549\) | 23.3421 | + | 12.1789i | 0.996217 | + | 0.519784i | ||||
\(550\) | 1.23142 | + | 1.07021i | 0.0525078 | + | 0.0456339i | ||||
\(551\) | 3.90342 | − | 1.42073i | 0.166291 | − | 0.0605251i | ||||
\(552\) | −11.6267 | − | 3.50084i | −0.494864 | − | 0.149006i | ||||
\(553\) | 1.06495 | − | 0.893600i | 0.0452863 | − | 0.0379997i | ||||
\(554\) | −8.42368 | + | 14.0230i | −0.357888 | + | 0.595779i | ||||
\(555\) | 26.2965 | + | 25.1970i | 1.11622 | + | 1.06955i | ||||
\(556\) | 6.46463 | + | 4.03750i | 0.274161 | + | 0.171228i | ||||
\(557\) | −12.1349 | + | 7.00606i | −0.514170 | + | 0.296856i | −0.734546 | − | 0.678559i | \(-0.762605\pi\) |
0.220376 | + | 0.975415i | \(0.429272\pi\) | |||||||
\(558\) | 2.63178 | − | 4.83765i | 0.111412 | − | 0.204794i | ||||
\(559\) | 26.2065 | + | 15.1303i | 1.10842 | + | 0.639944i | ||||
\(560\) | 8.32690 | + | 3.70284i | 0.351876 | + | 0.156473i | ||||
\(561\) | −70.5988 | − | 4.66049i | −2.98068 | − | 0.196766i | ||||
\(562\) | 0.102463 | − | 5.90862i | 0.00432214 | − | 0.249240i | ||||
\(563\) | −3.86253 | − | 21.9055i | −0.162786 | − | 0.923206i | −0.951318 | − | 0.308212i | \(-0.900269\pi\) |
0.788532 | − | 0.614994i | \(-0.210842\pi\) | |||||||
\(564\) | −22.0351 | − | 6.22026i | −0.927844 | − | 0.261920i | ||||
\(565\) | 8.79003 | + | 7.37571i | 0.369800 | + | 0.310299i | ||||
\(566\) | −6.51413 | − | 18.9114i | −0.273809 | − | 0.794907i | ||||
\(567\) | 6.35203 | + | 6.37587i | 0.266760 | + | 0.267761i | ||||
\(568\) | 5.94025 | − | 9.15402i | 0.249247 | − | 0.384094i | ||||
\(569\) | 13.2740 | − | 15.8194i | 0.556477 | − | 0.663183i | −0.412320 | − | 0.911039i | \(-0.635281\pi\) |
0.968797 | + | 0.247856i | \(0.0797259\pi\) | |||||||
\(570\) | −6.42825 | − | 4.46281i | −0.269250 | − | 0.186926i | ||||
\(571\) | 26.2761 | − | 4.63319i | 1.09962 | − | 0.193893i | 0.405744 | − | 0.913987i | \(-0.367012\pi\) |
0.693877 | + | 0.720094i | \(0.255901\pi\) | |||||||
\(572\) | −40.9614 | + | 13.3195i | −1.71268 | + | 0.556915i | ||||
\(573\) | 0.859101 | − | 13.0140i | 0.0358895 | − | 0.543667i | ||||
\(574\) | 0.439419 | + | 2.77234i | 0.0183410 | + | 0.115715i | ||||
\(575\) | −0.236102 | + | 0.408941i | −0.00984614 | + | 0.0170540i | ||||
\(576\) | −14.2708 | − | 19.2962i | −0.594619 | − | 0.804008i | ||||
\(577\) | 10.8158 | + | 18.7334i | 0.450266 | + | 0.779883i | 0.998402 | − | 0.0565059i | \(-0.0179960\pi\) |
−0.548137 | + | 0.836389i | \(0.684663\pi\) | |||||||
\(578\) | 31.3296 | − | 25.3761i | 1.30314 | − | 1.05551i | ||||
\(579\) | 23.8096 | − | 24.8486i | 0.989495 | − | 1.03267i | ||||
\(580\) | 2.80334 | − | 13.2034i | 0.116402 | − | 0.548243i | ||||
\(581\) | −5.06027 | − | 6.03060i | −0.209935 | − | 0.250191i | ||||
\(582\) | −11.1407 | − | 15.7756i | −0.461798 | − | 0.653921i | ||||
\(583\) | −11.2637 | − | 30.9469i | −0.466496 | − | 1.28169i | ||||
\(584\) | −10.0337 | − | 0.522410i | −0.415198 | − | 0.0216175i | ||||
\(585\) | −24.2866 | + | 1.03759i | −1.00413 | + | 0.0428991i | ||||
\(586\) | 34.3500 | + | 6.67292i | 1.41899 | + | 0.275656i | ||||
\(587\) | −7.32631 | + | 41.5496i | −0.302389 | + | 1.71493i | 0.333157 | + | 0.942871i | \(0.391886\pi\) |
−0.635546 | + | 0.772063i | \(0.719225\pi\) | |||||||
\(588\) | 1.50571 | − | 3.11975i | 0.0620946 | − | 0.128656i | ||||
\(589\) | 1.71046 | + | 0.622556i | 0.0704782 | + | 0.0256520i | ||||
\(590\) | −38.7758 | + | 21.4995i | −1.59637 | + | 0.885121i | ||||
\(591\) | 1.13692 | + | 10.4263i | 0.0467667 | + | 0.428880i | ||||
\(592\) | −29.8569 | + | 21.7130i | −1.22711 | + | 0.892401i | ||||
\(593\) | − | 18.5331i | − | 0.761065i | −0.924768 | − | 0.380532i | \(-0.875741\pi\) | ||
0.924768 | − | 0.380532i | \(-0.124259\pi\) | |||||||
\(594\) | −42.3962 | + | 13.5108i | −1.73954 | + | 0.554355i | ||||
\(595\) | 15.3692i | 0.630078i | ||||||||
\(596\) | −0.867405 | + | 25.0024i | −0.0355303 | + | 1.02414i | ||||
\(597\) | 15.3019 | + | 6.74156i | 0.626266 | + | 0.275914i | ||||
\(598\) | −6.04516 | − | 10.9028i | −0.247205 | − | 0.445850i | ||||
\(599\) | 42.9662 | + | 15.6384i | 1.75555 | + | 0.638969i | 0.999872 | − | 0.0159723i | \(-0.00508435\pi\) |
0.755680 | + | 0.654941i | \(0.227307\pi\) | |||||||
\(600\) | −0.857591 | + | 0.368321i | −0.0350110 | + | 0.0150367i | ||||
\(601\) | −4.25720 | + | 24.1438i | −0.173655 | + | 0.984846i | 0.766030 | + | 0.642805i | \(0.222229\pi\) |
−0.939685 | + | 0.342041i | \(0.888882\pi\) | |||||||
\(602\) | 2.29457 | − | 11.8117i | 0.0935196 | − | 0.481409i | ||||
\(603\) | 15.1908 | − | 6.27555i | 0.618615 | − | 0.255560i | ||||
\(604\) | 11.0811 | − | 27.4446i | 0.450882 | − | 1.11670i | ||||
\(605\) | 19.9995 | + | 54.9483i | 0.813097 | + | 2.23396i | ||||
\(606\) | −2.38524 | − | 26.0597i | −0.0968936 | − | 1.05860i | ||||
\(607\) | 3.74817 | + | 4.46689i | 0.152133 | + | 0.181305i | 0.836728 | − | 0.547618i | \(-0.184465\pi\) |
−0.684595 | + | 0.728924i | \(0.740021\pi\) | |||||||
\(608\) | 5.60591 | − | 5.61229i | 0.227350 | − | 0.227608i | ||||
\(609\) | −4.98321 | − | 1.22186i | −0.201930 | − | 0.0495122i | ||||
\(610\) | 17.7973 | + | 21.9728i | 0.720593 | + | 0.889651i | ||||
\(611\) | −11.7538 | − | 20.3582i | −0.475509 | − | 0.823607i | ||||
\(612\) | 19.9564 | − | 35.2145i | 0.806688 | − | 1.42346i | ||||
\(613\) | −5.50511 | + | 9.53514i | −0.222349 | + | 0.385121i | −0.955521 | − | 0.294923i | \(-0.904706\pi\) |
0.733171 | + | 0.680044i | \(0.238039\pi\) | |||||||
\(614\) | −24.5033 | + | 3.88379i | −0.988871 | + | 0.156737i | ||||
\(615\) | −6.51022 | − | 4.35440i | −0.262517 | − | 0.175586i | ||||
\(616\) | 10.3119 | + | 13.6746i | 0.415478 | + | 0.550966i | ||||
\(617\) | 32.1330 | − | 5.66592i | 1.29363 | − | 0.228101i | 0.515870 | − | 0.856667i | \(-0.327469\pi\) |
0.777756 | + | 0.628566i | \(0.216358\pi\) | |||||||
\(618\) | 35.7015 | + | 2.97931i | 1.43613 | + | 0.119845i | ||||
\(619\) | 17.8581 | − | 21.2824i | 0.717776 | − | 0.855412i | −0.276637 | − | 0.960975i | \(-0.589220\pi\) |
0.994413 | + | 0.105562i | \(0.0336643\pi\) | |||||||
\(620\) | 4.65998 | − | 3.64248i | 0.187149 | − | 0.146286i | ||||
\(621\) | −6.17872 | − | 11.2999i | −0.247943 | − | 0.453451i | ||||
\(622\) | 0.681123 | − | 0.234616i | 0.0273105 | − | 0.00940725i | ||||
\(623\) | 10.2187 | + | 8.57453i | 0.409405 | + | 0.343531i | ||||
\(624\) | 3.32318 | − | 24.4158i | 0.133033 | − | 0.977415i | ||||
\(625\) | −4.50032 | − | 25.5226i | −0.180013 | − | 1.02090i | ||||
\(626\) | −30.0874 | − | 0.521753i | −1.20253 | − | 0.0208534i | ||||
\(627\) | −6.49861 | − | 13.1934i | −0.259529 | − | 0.526895i | ||||
\(628\) | −16.4944 | − | 31.0045i | −0.658200 | − | 1.23721i | ||||
\(629\) | −53.9198 | − | 31.1306i | −2.14992 | − | 1.24126i | ||||
\(630\) | 3.53516 | + | 8.99622i | 0.140844 | + | 0.358418i | ||||
\(631\) | −36.3520 | + | 20.9878i | −1.44715 | + | 0.835512i | −0.998311 | − | 0.0581005i | \(-0.981496\pi\) |
−0.448839 | + | 0.893613i | \(0.648162\pi\) | |||||||
\(632\) | −3.83159 | − | 0.883214i | −0.152412 | − | 0.0351324i | ||||
\(633\) | −8.75823 | + | 2.54834i | −0.348108 | + | 0.101287i | ||||
\(634\) | 17.0528 | + | 10.2437i | 0.677253 | + | 0.406830i | ||||
\(635\) | −8.60769 | + | 7.22271i | −0.341586 | + | 0.286624i | ||||
\(636\) | 18.7451 | + | 1.89209i | 0.743290 | + | 0.0750261i | ||||
\(637\) | 3.34212 | − | 1.21643i | 0.132420 | − | 0.0481969i | ||||
\(638\) | 16.6403 | − | 19.1469i | 0.658795 | − | 0.758031i | ||||
\(639\) | 11.3024 | − | 2.49459i | 0.447117 | − | 0.0986843i | ||||
\(640\) | −5.81827 | − | 25.1104i | −0.229987 | − | 0.992577i | ||||
\(641\) | −31.6848 | − | 5.58689i | −1.25148 | − | 0.220669i | −0.491649 | − | 0.870794i | \(-0.663606\pi\) |
−0.759828 | + | 0.650125i | \(0.774717\pi\) | |||||||
\(642\) | 10.3761 | + | 38.1122i | 0.409511 | + | 1.50417i | ||||
\(643\) | 3.95104 | − | 10.8554i | 0.155814 | − | 0.428095i | −0.837083 | − | 0.547076i | \(-0.815741\pi\) |
0.992896 | + | 0.118982i | \(0.0379630\pi\) | |||||||
\(644\) | −3.31609 | + | 3.68458i | −0.130672 | + | 0.145193i | ||||
\(645\) | 19.8401 | + | 27.0851i | 0.781205 | + | 1.06648i | ||||
\(646\) | 12.4901 | + | 4.79287i | 0.491417 | + | 0.188573i | ||||
\(647\) | 2.43008 | 0.0955362 | 0.0477681 | − | 0.998858i | \(-0.484789\pi\) | ||||
0.0477681 | + | 0.998858i | \(0.484789\pi\) | |||||||
\(648\) | 3.58137 | − | 25.2027i | 0.140690 | − | 0.990054i | ||||
\(649\) | −83.3262 | −3.27084 | ||||||||
\(650\) | −0.894657 | − | 0.343310i | −0.0350914 | − | 0.0134657i | ||||
\(651\) | −1.32859 | − | 1.81375i | −0.0520716 | − | 0.0710865i | ||||
\(652\) | −8.08428 | + | 8.98261i | −0.316605 | + | 0.351786i | ||||
\(653\) | 7.04172 | − | 19.3470i | 0.275564 | − | 0.757105i | −0.722288 | − | 0.691593i | \(-0.756909\pi\) |
0.997852 | − | 0.0655129i | \(-0.0208684\pi\) | |||||||
\(654\) | −5.42492 | − | 19.9262i | −0.212131 | − | 0.779176i | ||||
\(655\) | 17.2141 | + | 3.03530i | 0.672609 | + | 0.118599i | ||||
\(656\) | 5.51246 | − | 5.71353i | 0.215226 | − | 0.223076i | ||||
\(657\) | −7.19225 | − | 7.86374i | −0.280596 | − | 0.306794i | ||||
\(658\) | −6.13160 | + | 7.05522i | −0.239035 | + | 0.275041i | ||||
\(659\) | 24.4864 | − | 8.91231i | 0.953853 | − | 0.347174i | 0.182231 | − | 0.983256i | \(-0.441668\pi\) |
0.771622 | + | 0.636082i | \(0.219446\pi\) | |||||||
\(660\) | −47.5475 | − | 4.79935i | −1.85079 | − | 0.186814i | ||||
\(661\) | −13.2329 | + | 11.1038i | −0.514702 | + | 0.431886i | −0.862780 | − | 0.505579i | \(-0.831279\pi\) |
0.348078 | + | 0.937465i | \(0.386834\pi\) | |||||||
\(662\) | 35.8695 | + | 21.5470i | 1.39411 | + | 0.837448i | ||||
\(663\) | 39.9023 | − | 11.6102i | 1.54968 | − | 0.450902i | ||||
\(664\) | −5.00146 | + | 21.6975i | −0.194094 | + | 0.842026i | ||||
\(665\) | −2.76674 | + | 1.59738i | −0.107290 | + | 0.0619438i | ||||
\(666\) | −38.7219 | − | 5.81959i | −1.50044 | − | 0.225505i | ||||
\(667\) | 6.35847 | + | 3.67106i | 0.246201 | + | 0.142144i | ||||
\(668\) | 4.43582 | + | 8.33798i | 0.171627 | + | 0.322606i | ||||
\(669\) | 0.981573 | + | 1.99278i | 0.0379498 | + | 0.0770455i | ||||
\(670\) | 17.6494 | + | 0.306062i | 0.681855 | + | 0.0118242i | ||||
\(671\) | 9.22795 | + | 52.3343i | 0.356241 | + | 2.02034i | ||||
\(672\) | −9.60950 | + | 1.91245i | −0.370695 | + | 0.0737745i | ||||
\(673\) | 4.24883 | + | 3.56519i | 0.163780 | + | 0.137428i | 0.720995 | − | 0.692941i | \(-0.243685\pi\) |
−0.557214 | + | 0.830369i | \(0.688130\pi\) | |||||||
\(674\) | 27.9485 | − | 9.62701i | 1.07654 | − | 0.370818i | ||||
\(675\) | −0.922142 | − | 0.360094i | −0.0354933 | − | 0.0138600i | ||||
\(676\) | −0.552288 | + | 0.431697i | −0.0212418 | + | 0.0166037i | ||||
\(677\) | −13.7983 | + | 16.4441i | −0.530311 | + | 0.632000i | −0.962986 | − | 0.269550i | \(-0.913125\pi\) |
0.432676 | + | 0.901550i | \(0.357569\pi\) | |||||||
\(678\) | −12.2942 | − | 1.02596i | −0.472156 | − | 0.0394016i | ||||
\(679\) | −7.76466 | + | 1.36912i | −0.297980 | + | 0.0525420i | ||||
\(680\) | 34.7084 | − | 26.1732i | 1.33101 | − | 1.00370i | ||||
\(681\) | 21.6389 | + | 14.4733i | 0.829204 | + | 0.554618i | ||||
\(682\) | 10.9788 | − | 1.74015i | 0.420399 | − | 0.0666337i | ||||
\(683\) | 11.3102 | − | 19.5899i | 0.432773 | − | 0.749586i | −0.564338 | − | 0.825544i | \(-0.690868\pi\) |
0.997111 | + | 0.0759586i | \(0.0242017\pi\) | |||||||
\(684\) | 8.41338 | − | 0.0674576i | 0.321694 | − | 0.00257930i | ||||
\(685\) | 21.8704 | + | 37.8806i | 0.835624 | + | 1.44734i | ||||
\(686\) | −0.890118 | − | 1.09895i | −0.0339849 | − | 0.0419581i | ||||
\(687\) | 15.0016 | + | 3.67832i | 0.572347 | + | 0.140337i | ||||
\(688\) | −30.5819 | + | 14.9330i | −1.16593 | + | 0.569317i | ||||
\(689\) | 12.4337 | + | 14.8180i | 0.473688 | + | 0.564519i | ||||
\(690\) | −1.26074 | − | 13.7742i | −0.0479957 | − | 0.524373i | ||||
\(691\) | 0.518076 | + | 1.42340i | 0.0197085 | + | 0.0541487i | 0.949157 | − | 0.314804i | \(-0.101939\pi\) |
−0.929448 | + | 0.368953i | \(0.879716\pi\) | |||||||
\(692\) | −9.48516 | + | 23.4920i | −0.360572 | + | 0.893031i | ||||
\(693\) | −2.38798 | + | 18.0082i | −0.0907118 | + | 0.684074i | ||||
\(694\) | 0.442546 | − | 2.27809i | 0.0167988 | − | 0.0864750i | ||||
\(695\) | −1.50767 | + | 8.55043i | −0.0571893 | + | 0.324336i | ||||
\(696\) | 5.72689 | + | 13.3344i | 0.217077 | + | 0.505438i | ||||
\(697\) | 12.5821 | + | 4.57950i | 0.476580 | + | 0.173461i | ||||
\(698\) | 7.54863 | + | 13.6144i | 0.285720 | + | 0.515314i | ||||
\(699\) | −35.1895 | − | 15.5034i | −1.33099 | − | 0.586394i | ||||
\(700\) | −0.0132113 | + | 0.380805i | −0.000499339 | + | 0.0143931i | ||||
\(701\) | − | 42.3855i | − | 1.60088i | −0.599415 | − | 0.800438i | \(-0.704600\pi\) | ||
0.599415 | − | 0.800438i | \(-0.295400\pi\) | |||||||
\(702\) | 20.6858 | − | 15.9740i | 0.780737 | − | 0.602900i | ||||
\(703\) | − | 12.9421i | − | 0.488119i | ||||||
\(704\) | 13.3207 | − | 46.5747i | 0.502042 | − | 1.75535i | ||||
\(705\) | −2.82731 | − | 25.9282i | −0.106483 | − | 0.976512i | ||||
\(706\) | −20.1425 | + | 11.1682i | −0.758072 | + | 0.420319i | ||||
\(707\) | −10.0390 | − | 3.65391i | −0.377556 | − | 0.137419i | ||||
\(708\) | 20.7200 | − | 42.9307i | 0.778707 | − | 1.61343i | ||||
\(709\) | −4.06312 | + | 23.0431i | −0.152594 | + | 0.865401i | 0.808359 | + | 0.588689i | \(0.200356\pi\) |
−0.960953 | + | 0.276712i | \(0.910755\pi\) | |||||||
\(710\) | 12.2027 | + | 2.37052i | 0.457959 | + | 0.0889641i | ||||
\(711\) | −2.23756 | − | 3.51953i | −0.0839150 | − | 0.131993i | ||||
\(712\) | 1.96178 | − | 37.6791i | 0.0735208 | − | 1.41208i | ||||
\(713\) | 1.10038 | + | 3.02326i | 0.0412094 | + | 0.113222i | ||||
\(714\) | −9.53213 | − | 13.4978i | −0.356731 | − | 0.505143i | ||||
\(715\) | −31.5386 | − | 37.5863i | −1.17948 | − | 1.40565i | ||||
\(716\) | −5.36303 | + | 25.2594i | −0.200426 | + | 0.943986i | ||||
\(717\) | 32.3929 | − | 33.8063i | 1.20973 | − | 1.26252i | ||||
\(718\) | 31.3558 | − | 25.3973i | 1.17019 | − | 0.947819i | ||||
\(719\) | −10.7937 | − | 18.6953i | −0.402538 | − | 0.697216i | 0.591493 | − | 0.806310i | \(-0.298539\pi\) |
−0.994031 | + | 0.109093i | \(0.965205\pi\) | |||||||
\(720\) | 14.2959 | − | 23.3037i | 0.532778 | − | 0.868476i | ||||
\(721\) | 7.31288 | − | 12.6663i | 0.272346 | − | 0.471717i | ||||
\(722\) | −3.77109 | − | 23.7922i | −0.140345 | − | 0.885453i | ||||
\(723\) | −1.48398 | + | 22.4799i | −0.0551899 | + | 0.836036i | ||||
\(724\) | 25.9195 | − | 8.42828i | 0.963290 | − | 0.313234i | ||||
\(725\) | 0.555792 | − | 0.0980011i | 0.0206416 | − | 0.00363967i | ||||
\(726\) | −51.6436 | − | 35.8536i | −1.91668 | − | 1.33065i | ||||
\(727\) | 26.2393 | − | 31.2708i | 0.973162 | − | 1.15977i | −0.0139771 | − | 0.999902i | \(-0.504449\pi\) |
0.987139 | − | 0.159866i | \(-0.0511064\pi\) | |||||||
\(728\) | −8.43858 | − | 5.47598i | −0.312755 | − | 0.202953i | ||||
\(729\) | 21.4666 | − | 16.3763i | 0.795060 | − | 0.606530i | ||||
\(730\) | −3.72744 | − | 10.8213i | −0.137959 | − | 0.400513i | ||||
\(731\) | −43.9686 | − | 36.8940i | −1.62624 | − | 1.36458i | ||||
\(732\) | −29.2579 | − | 8.25919i | −1.08140 | − | 0.305268i | ||||
\(733\) | 6.59792 | + | 37.4186i | 0.243700 | + | 1.38209i | 0.823493 | + | 0.567326i | \(0.192022\pi\) |
−0.579794 | + | 0.814763i | \(0.696867\pi\) | |||||||
\(734\) | −0.0108681 | + | 0.626718i | −0.000401148 | + | 0.0231326i | ||||
\(735\) | 3.93751 | + | 0.259930i | 0.145237 | + | 0.00958765i | ||||
\(736\) | 13.9681 | + | 1.21404i | 0.514870 | + | 0.0447501i | ||||
\(737\) | 28.7302 | + | 16.5874i | 1.05829 | + | 0.611004i | ||||
\(738\) | 8.41814 | − | 0.213506i | 0.309876 | − | 0.00785928i | ||||
\(739\) | −9.56106 | + | 5.52008i | −0.351709 | + | 0.203059i | −0.665438 | − | 0.746453i | \(-0.731755\pi\) |
0.313729 | + | 0.949513i | \(0.398422\pi\) | |||||||
\(740\) | −35.6687 | − | 22.2770i | −1.31121 | − | 0.818919i | ||||
\(741\) | 6.23723 | + | 5.97645i | 0.229130 | + | 0.219550i | ||||
\(742\) | 3.96068 | − | 6.59337i | 0.145401 | − | 0.242050i | ||||
\(743\) | 23.6802 | − | 19.8700i | 0.868740 | − | 0.728960i | −0.0950920 | − | 0.995468i | \(-0.530315\pi\) |
0.963833 | + | 0.266509i | \(0.0858701\pi\) | |||||||
\(744\) | −1.83346 | + | 6.08911i | −0.0672178 | + | 0.223238i | ||||
\(745\) | −26.7795 | + | 9.74696i | −0.981127 | + | 0.357101i | ||||
\(746\) | −18.0958 | − | 15.7268i | −0.662533 | − | 0.575799i | ||||
\(747\) | −19.9304 | + | 12.6708i | −0.729215 | + | 0.463602i | ||||
\(748\) | 80.9002 | − | 11.3886i | 2.95800 | − | 0.416407i | ||||
\(749\) | 15.8806 | + | 2.80018i | 0.580264 | + | 0.102316i | ||||
\(750\) | 19.0545 | + | 18.9024i | 0.695773 | + | 0.690217i | ||||
\(751\) | 4.97526 | − | 13.6694i | 0.181550 | − | 0.498804i | −0.815217 | − | 0.579156i | \(-0.803382\pi\) |
0.996767 | + | 0.0803518i | \(0.0256044\pi\) | |||||||
\(752\) | 26.3747 | + | 1.83224i | 0.961786 | + | 0.0668148i | ||||
\(753\) | 52.0335 | − | 5.67394i | 1.89620 | − | 0.206770i | ||||
\(754\) | −5.33800 | + | 13.9107i | −0.194398 | + | 0.506598i | ||||
\(755\) | 33.7152 | 1.22702 | ||||||||
\(756\) | −8.68423 | − | 5.70826i | −0.315842 | − | 0.207607i | ||||
\(757\) | −34.0273 | −1.23674 | −0.618371 | − | 0.785886i | \(-0.712207\pi\) | ||||
−0.618371 | + | 0.785886i | \(0.712207\pi\) | |||||||
\(758\) | −13.6657 | + | 35.6125i | −0.496361 | + | 1.29350i | ||||
\(759\) | 10.4805 | − | 23.7886i | 0.380419 | − | 0.863472i | ||||
\(760\) | 8.31902 | + | 3.52787i | 0.301763 | + | 0.127969i | ||||
\(761\) | 10.0634 | − | 27.6490i | 0.364799 | − | 1.00228i | −0.612511 | − | 0.790462i | \(-0.709841\pi\) |
0.977310 | − | 0.211814i | \(-0.0679372\pi\) | |||||||
\(762\) | 3.07999 | − | 11.6818i | 0.111576 | − | 0.423187i | ||||
\(763\) | −8.30285 | − | 1.46402i | −0.300583 | − | 0.0530009i | ||||
\(764\) | 2.09933 | + | 14.9129i | 0.0759513 | + | 0.539530i | ||||
\(765\) | 45.7076 | + | 6.06108i | 1.65256 | + | 0.219139i | ||||
\(766\) | −19.9573 | − | 17.3446i | −0.721085 | − | 0.626686i | ||||
\(767\) | 45.9908 | − | 16.7393i | 1.66063 | − | 0.604420i | ||||
\(768\) | 20.6835 | + | 18.4443i | 0.746352 | + | 0.665552i | ||||
\(769\) | 34.8854 | − | 29.2723i | 1.25800 | − | 1.05559i | 0.262106 | − | 0.965039i | \(-0.415583\pi\) |
0.995892 | − | 0.0905471i | \(-0.0288616\pi\) | |||||||
\(770\) | −10.0464 | + | 16.7243i | −0.362047 | + | 0.602703i | ||||
\(771\) | −0.504784 | + | 2.05870i | −0.0181793 | + | 0.0741424i | ||||
\(772\) | −21.0504 | + | 33.7048i | −0.757622 | + | 1.21306i | ||||
\(773\) | −15.8438 | + | 9.14742i | −0.569862 | + | 0.329010i | −0.757094 | − | 0.653306i | \(-0.773382\pi\) |
0.187233 | + | 0.982316i | \(0.440048\pi\) | |||||||
\(774\) | −34.2227 | − | 11.4821i | −1.23011 | − | 0.412715i | ||||
\(775\) | 0.214170 | + | 0.123651i | 0.00769321 | + | 0.00444168i | ||||
\(776\) | 16.3148 | + | 15.2034i | 0.585667 | + | 0.545770i | ||||
\(777\) | −8.88739 | + | 13.2874i | −0.318833 | + | 0.476684i | ||||
\(778\) | 0.0718471 | − | 4.14313i | 0.00257584 | − | 0.148538i | ||||
\(779\) | 0.483306 | + | 2.74097i | 0.0173163 | + | 0.0982053i | ||||
\(780\) | 27.2074 | − | 6.90282i | 0.974180 | − | 0.247161i | ||||
\(781\) | 17.8964 | + | 15.0169i | 0.640385 | + | 0.537346i | ||||
\(782\) | 7.70093 | + | 22.3569i | 0.275385 | + | 0.799480i | ||||
\(783\) | −5.59896 | + | 14.3380i | −0.200091 | + | 0.512400i | ||||
\(784\) | −0.965921 | + | 3.88162i | −0.0344972 | + | 0.138629i | ||||
\(785\) | 25.7149 | − | 30.6458i | 0.917805 | − | 1.09380i | ||||
\(786\) | −17.0005 | + | 8.01060i | −0.606388 | + | 0.285728i | ||||
\(787\) | 29.9595 | − | 5.28267i | 1.06794 | − | 0.188307i | 0.388063 | − | 0.921633i | \(-0.373144\pi\) |
0.679877 | + | 0.733326i | \(0.262033\pi\) | |||||||
\(788\) | −3.74500 | − | 11.5170i | −0.133410 | − | 0.410276i | ||||
\(789\) | 4.24544 | − | 2.09115i | 0.151142 | − | 0.0744469i | ||||
\(790\) | −0.701198 | − | 4.42393i | −0.0249475 | − | 0.157396i | ||||
\(791\) | −2.51826 | + | 4.36176i | −0.0895392 | + | 0.155086i | ||||
\(792\) | 44.7345 | − | 25.2744i | 1.58957 | − | 0.898088i | ||||
\(793\) | −15.6066 | − | 27.0314i | −0.554207 | − | 0.959915i | ||||
\(794\) | −24.2706 | + | 19.6585i | −0.861331 | + | 0.697654i | ||||
\(795\) | 5.99595 | + | 20.6071i | 0.212654 | + | 0.730858i | ||||
\(796\) | −18.8869 | − | 4.01005i | −0.669429 | − | 0.142132i | ||||
\(797\) | 5.70277 | + | 6.79630i | 0.202002 | + | 0.240737i | 0.857530 | − | 0.514434i | \(-0.171998\pi\) |
−0.655527 | + | 0.755171i | \(0.727554\pi\) | |||||||
\(798\) | 1.43914 | − | 3.11883i | 0.0509451 | − | 0.110405i | ||||
\(799\) | 15.2501 | + | 41.8992i | 0.539509 | + | 1.48229i | ||||
\(800\) | 0.882472 | − | 0.618662i | 0.0312001 | − | 0.0218730i | ||||
\(801\) | 29.5303 | − | 27.0087i | 1.04340 | − | 0.954305i | ||||
\(802\) | −34.2784 | − | 6.65899i | −1.21041 | − | 0.235137i | ||||
\(803\) | 3.73515 | − | 21.1831i | 0.131811 | − | 0.747535i | ||||
\(804\) | −15.6901 | + | 10.6775i | −0.553348 | + | 0.376566i | ||||
\(805\) | −5.30624 | − | 1.93131i | −0.187020 | − | 0.0680698i | ||||
\(806\) | −5.71002 | + | 3.16596i | −0.201127 | + | 0.111516i | ||||
\(807\) | 32.7499 | − | 23.9896i | 1.15285 | − | 0.844475i | ||||
\(808\) | 8.84444 | + | 28.8936i | 0.311146 | + | 1.01647i | ||||
\(809\) | 36.7465i | 1.29194i | 0.763363 | + | 0.645969i | \(0.223547\pi\) | ||||
−0.763363 | + | 0.645969i | \(0.776453\pi\) | |||||||
\(810\) | 28.1486 | − | 6.96566i | 0.989041 | − | 0.244748i | ||||
\(811\) | − | 18.6477i | − | 0.654811i | −0.944884 | − | 0.327405i | \(-0.893826\pi\) | ||
0.944884 | − | 0.327405i | \(-0.106174\pi\) | |||||||
\(812\) | 5.92100 | + | 0.205417i | 0.207786 | + | 0.00720872i | ||||
\(813\) | 34.0168 | − | 24.9177i | 1.19302 | − | 0.873900i | ||||
\(814\) | −38.3247 | − | 69.1211i | −1.34328 | − | 2.42269i | ||||
\(815\) | −12.9360 | − | 4.70833i | −0.453130 | − | 0.164926i | ||||
\(816\) | −14.2493 | + | 44.5127i | −0.498824 | + | 1.55825i | ||||
\(817\) | 2.07178 | − | 11.7497i | 0.0724826 | − | 0.411069i | ||||
\(818\) | 4.91021 | − | 25.2762i | 0.171682 | − | 0.883762i | ||||
\(819\) | −2.29962 | − | 10.4191i | −0.0803552 | − | 0.364072i | ||||
\(820\) | 8.38611 | + | 3.38599i | 0.292856 | + | 0.118244i | ||||
\(821\) | −13.9500 | − | 38.3274i | −0.486860 | − | 1.33764i | −0.903509 | − | 0.428569i | \(-0.859018\pi\) |
0.416649 | − | 0.909067i | \(-0.363204\pi\) | |||||||
\(822\) | −42.7012 | − | 19.7039i | −1.48937 | − | 0.687251i | ||||
\(823\) | 8.17259 | + | 9.73972i | 0.284879 | + | 0.339505i | 0.889439 | − | 0.457054i | \(-0.151096\pi\) |
−0.604560 | + | 0.796560i | \(0.706651\pi\) | |||||||
\(824\) | −41.0578 | + | 5.05549i | −1.43032 | + | 0.176116i | ||||
\(825\) | −0.558242 | − | 1.91859i | −0.0194355 | − | 0.0667966i | ||||
\(826\) | −12.2489 | − | 15.1226i | −0.426193 | − | 0.526182i | ||||
\(827\) | −18.1354 | − | 31.4114i | −0.630629 | − | 1.09228i | −0.987423 | − | 0.158099i | \(-0.949463\pi\) |
0.356794 | − | 0.934183i | \(-0.383870\pi\) | |||||||
\(828\) | 9.65007 | + | 11.3150i | 0.335363 | + | 0.393224i | ||||
\(829\) | 11.5503 | − | 20.0057i | 0.401157 | − | 0.694825i | −0.592708 | − | 0.805417i | \(-0.701941\pi\) |
0.993866 | + | 0.110592i | \(0.0352747\pi\) | |||||||
\(830\) | −25.0518 | + | 3.97074i | −0.869561 | + | 0.137826i | ||||
\(831\) | 17.9730 | − | 8.85286i | 0.623478 | − | 0.307102i | ||||
\(832\) | 2.00415 | + | 28.3822i | 0.0694814 | + | 0.983977i | ||||
\(833\) | −6.64353 | + | 1.17143i | −0.230185 | + | 0.0405878i | ||||
\(834\) | −3.97896 | − | 8.44436i | −0.137780 | − | 0.292404i | ||||
\(835\) | −6.91546 | + | 8.24153i | −0.239319 | + | 0.285210i | ||||
\(836\) | 10.4584 | + | 13.3799i | 0.361711 | + | 0.462752i | ||||
\(837\) | −5.91799 | + | 3.23591i | −0.204556 | + | 0.111849i | ||||
\(838\) | 28.3438 | − | 9.76316i | 0.979120 | − | 0.337263i | ||||
\(839\) | 20.1520 | + | 16.9095i | 0.695724 | + | 0.583782i | 0.920554 | − | 0.390616i | \(-0.127738\pi\) |
−0.224830 | + | 0.974398i | \(0.572183\pi\) | |||||||
\(840\) | −6.11843 | − | 9.33473i | −0.211106 | − | 0.322079i | ||||
\(841\) | 3.51201 | + | 19.9176i | 0.121104 | + | 0.686815i | ||||
\(842\) | −16.5182 | − | 0.286447i | −0.569256 | − | 0.00987161i | ||||
\(843\) | −4.02384 | + | 6.01600i | −0.138588 | + | 0.207202i | ||||
\(844\) | 9.29854 | − | 4.94684i | 0.320069 | − | 0.170277i | ||||
\(845\) | −0.691539 | − | 0.399260i | −0.0237897 | − | 0.0137350i | ||||
\(846\) | 18.5639 | + | 21.0175i | 0.638241 | + | 0.722597i | ||||
\(847\) | −22.2276 | + | 12.8331i | −0.763751 | + | 0.440952i | ||||
\(848\) | −21.6347 | + | 2.28385i | −0.742939 | + | 0.0784279i | ||||
\(849\) | −5.83379 | + | 23.7925i | −0.200215 | + | 0.816555i | ||||
\(850\) | 1.55809 | + | 0.935952i | 0.0534420 | + | 0.0321029i | ||||
\(851\) | 17.5235 | − | 14.7039i | 0.600696 | − | 0.504044i | ||||
\(852\) | −12.1870 | + | 5.48633i | −0.417521 | + | 0.187959i | ||||
\(853\) | −20.2535 | + | 7.37168i | −0.693467 | + | 0.252401i | −0.664619 | − | 0.747182i | \(-0.731406\pi\) |
−0.0288482 | + | 0.999584i | \(0.509184\pi\) | |||||||
\(854\) | −8.14147 | + | 9.36784i | −0.278595 | + | 0.320561i | ||||
\(855\) | 3.65945 | + | 8.85816i | 0.125151 | + | 0.302943i | ||||
\(856\) | −20.7204 | − | 40.6318i | −0.708208 | − | 1.38877i | ||||
\(857\) | −22.6849 | − | 3.99996i | −0.774901 | − | 0.136636i | −0.227806 | − | 0.973706i | \(-0.573155\pi\) |
−0.547095 | + | 0.837070i | \(0.684266\pi\) | |||||||
\(858\) | 51.0096 | + | 13.4491i | 1.74144 | + | 0.459143i | ||||
\(859\) | 4.78354 | − | 13.1427i | 0.163212 | − | 0.448422i | −0.830946 | − | 0.556353i | \(-0.812200\pi\) |
0.994158 | + | 0.107931i | \(0.0344225\pi\) | |||||||
\(860\) | −28.8164 | − | 25.9345i | −0.982630 | − | 0.884359i | ||||
\(861\) | 1.38603 | − | 3.14600i | 0.0472359 | − | 0.107216i | ||||
\(862\) | −40.8487 | − | 15.6750i | −1.39131 | − | 0.533893i | ||||
\(863\) | −48.4593 | −1.64957 | −0.824787 | − | 0.565444i | \(-0.808705\pi\) | ||||
−0.824787 | + | 0.565444i | \(0.808705\pi\) | |||||||
\(864\) | 1.89794 | + | 29.3325i | 0.0645691 | + | 0.997913i | ||||
\(865\) | −28.8595 | −0.981253 | ||||||||
\(866\) | 17.8862 | + | 6.86354i | 0.607799 | + | 0.233233i | ||||
\(867\) | −49.0876 | + | 5.35270i | −1.66710 | + | 0.181787i | ||||
\(868\) | 1.92968 | + | 1.73670i | 0.0654977 | + | 0.0589474i | ||||
\(869\) | 2.87913 | − | 7.91034i | 0.0976677 | − | 0.268340i | ||||
\(870\) | −11.6424 | + | 11.7362i | −0.394716 | + | 0.397893i | ||||
\(871\) | −19.1895 | − | 3.38362i | −0.650210 | − | 0.114650i | ||||
\(872\) | 10.8332 | + | 21.2435i | 0.366860 | + | 0.719395i | ||||
\(873\) | 1.00961 | + | 23.6318i | 0.0341703 | + | 0.799815i | ||||
\(874\) | −3.22426 | + | 3.70994i | −0.109062 | + | 0.125490i | ||||
\(875\) | 10.2965 | − | 3.74762i | 0.348085 | − | 0.126693i | ||||
\(876\) | 9.98500 | + | 7.19182i | 0.337362 | + | 0.242989i | ||||
\(877\) | 1.60776 | − | 1.34907i | 0.0542903 | − | 0.0455550i | −0.615239 | − | 0.788341i | \(-0.710940\pi\) |
0.669529 | + | 0.742786i | \(0.266496\pi\) | |||||||
\(878\) | −21.4593 | − | 12.8907i | −0.724216 | − | 0.435041i | ||||
\(879\) | −30.9441 | − | 29.6503i | −1.04372 | − | 1.00008i | ||||
\(880\) | 54.8772 | − | 5.79308i | 1.84991 | − | 0.195285i | ||||
\(881\) | 24.9798 | − | 14.4221i | 0.841590 | − | 0.485892i | −0.0162141 | − | 0.999869i | \(-0.505161\pi\) |
0.857804 | + | 0.513976i | \(0.171828\pi\) | |||||||
\(882\) | −3.61927 | + | 2.21380i | −0.121867 | + | 0.0745424i | ||||
\(883\) | −19.1823 | − | 11.0749i | −0.645536 | − | 0.372700i | 0.141208 | − | 0.989980i | \(-0.454901\pi\) |
−0.786744 | + | 0.617280i | \(0.788235\pi\) | |||||||
\(884\) | −42.3640 | + | 22.5377i | −1.42485 | + | 0.758024i | ||||
\(885\) | 54.1839 | + | 3.57688i | 1.82137 | + | 0.120235i | ||||
\(886\) | 20.4050 | + | 0.353849i | 0.685520 | + | 0.0118878i | ||||
\(887\) | −0.247787 | − | 1.40527i | −0.00831989 | − | 0.0471844i | 0.980365 | − | 0.197191i | \(-0.0631818\pi\) |
−0.988685 | + | 0.150006i | \(0.952071\pi\) | |||||||
\(888\) | 45.1419 | − | 2.55760i | 1.51486 | − | 0.0858273i | ||||
\(889\) | −3.77817 | − | 3.17026i | −0.126716 | − | 0.106327i | ||||
\(890\) | 40.6365 | − | 13.9974i | 1.36214 | − | 0.469195i | ||||
\(891\) | 52.6139 | + | 14.2035i | 1.76263 | + | 0.475836i | ||||
\(892\) | −1.57967 | − | 2.02094i | −0.0528914 | − | 0.0676661i | ||||
\(893\) | −5.95763 | + | 7.10003i | −0.199365 | + | 0.237593i | ||||
\(894\) | 17.4736 | − | 25.1690i | 0.584404 | − | 0.841777i | ||||
\(895\) | −28.9683 | + | 5.10790i | −0.968305 | + | 0.170738i | ||||
\(896\) | 10.4108 | − | 4.42891i | 0.347800 | − | 0.147960i | ||||
\(897\) | −1.00573 | + | 15.2352i | −0.0335805 | + | 0.508689i | ||||
\(898\) | 17.2442 | − | 2.73322i | 0.575446 | − | 0.0912088i | ||||
\(899\) | 1.92260 | − | 3.33005i | 0.0641225 | − | 0.111063i | ||||
\(900\) | 1.12729 | + | 0.189466i | 0.0375764 | + | 0.00631552i | ||||
\(901\) | −18.3449 | − | 31.7743i | −0.611156 | − | 1.05855i | ||||
\(902\) | 10.6979 | + | 13.2078i | 0.356203 | + | 0.439771i | ||||
\(903\) | −10.1956 | + | 10.6405i | −0.339290 | + | 0.354095i | ||||
\(904\) | 14.1387 | − | 1.74091i | 0.470245 | − | 0.0579018i | ||||
\(905\) | 19.9570 | + | 23.7838i | 0.663393 | + | 0.790601i | ||||
\(906\) | −29.6099 | + | 20.9105i | −0.983722 | + | 0.694704i | ||||
\(907\) | −0.0568160 | − | 0.156101i | −0.00188654 | − | 0.00518324i | 0.938746 | − | 0.344610i | \(-0.111989\pi\) |
−0.940632 | + | 0.339427i | \(0.889767\pi\) | |||||||
\(908\) | −27.8740 | − | 11.2545i | −0.925032 | − | 0.373492i | ||||
\(909\) | −14.8256 | + | 28.4148i | −0.491735 | + | 0.942458i | ||||
\(910\) | 2.18525 | − | 11.2490i | 0.0724404 | − | 0.372900i | ||||
\(911\) | −7.38604 | + | 41.8883i | −0.244710 | + | 1.38782i | 0.576454 | + | 0.817130i | \(0.304436\pi\) |
−0.821164 | + | 0.570692i | \(0.806675\pi\) | |||||||
\(912\) | −9.49407 | + | 2.06123i | −0.314380 | + | 0.0682543i | ||||
\(913\) | −44.7946 | − | 16.3039i | −1.48248 | − | 0.539580i | ||||
\(914\) | −13.0732 | − | 23.5783i | −0.432423 | − | 0.779902i | ||||
\(915\) | −3.75407 | − | 34.4271i | −0.124106 | − | 1.13813i | ||||
\(916\) | −17.8248 | − | 0.618394i | −0.588947 | − | 0.0204323i | ||||
\(917\) | 7.67232i | 0.253362i | ||||||||
\(918\) | −43.9012 | + | 23.0252i | −1.44895 | + | 0.759945i | ||||
\(919\) | − | 12.6284i | − | 0.416573i | −0.978068 | − | 0.208287i | \(-0.933211\pi\) | ||
0.978068 | − | 0.208287i | \(-0.0667887\pi\) | |||||||
\(920\) | 4.67483 | + | 15.2720i | 0.154125 | + | 0.503504i | ||||
\(921\) | 27.8059 | + | 12.2504i | 0.916236 | + | 0.403665i | ||||
\(922\) | 50.8279 | − | 28.1819i | 1.67393 | − | 0.928122i | ||||
\(923\) | −12.8944 | − | 4.69318i | −0.424425 | − | 0.154478i | ||||
\(924\) | −1.54947 | − | 20.9188i | −0.0509738 | − | 0.688177i | ||||
\(925\) | 0.305334 | − | 1.73163i | 0.0100393 | − | 0.0569358i | ||||
\(926\) | −46.8879 | − | 9.10854i | −1.54083 | − | 0.299325i | ||||
\(927\) | −34.7851 | − | 26.7434i | −1.14249 | − | 0.878368i | ||||
\(928\) | −9.61934 | − | 13.7212i | −0.315770 | − | 0.450421i | ||||
\(929\) | −3.67645 | − | 10.1010i | −0.120621 | − | 0.331402i | 0.864658 | − | 0.502362i | \(-0.167535\pi\) |
−0.985278 | + | 0.170960i | \(0.945313\pi\) | |||||||
\(930\) | −7.21378 | + | 0.660275i | −0.236549 | + | 0.0216513i | ||||
\(931\) | −0.901365 | − | 1.07420i | −0.0295410 | − | 0.0352056i | ||||
\(932\) | 43.4339 | + | 9.22183i | 1.42272 | + | 0.302071i | ||||
\(933\) | −0.856920 | − | 0.210112i | −0.0280543 | − | 0.00687877i | ||||
\(934\) | −1.63580 | + | 1.32495i | −0.0535249 | + | 0.0433537i | ||||
\(935\) | 46.5325 | + | 80.5966i | 1.52177 | + | 2.63579i | ||||
\(936\) | −19.6133 | + | 22.9365i | −0.641080 | + | 0.749704i | ||||
\(937\) | 7.51375 | − | 13.0142i | 0.245463 | − | 0.425155i | −0.716798 | − | 0.697280i | \(-0.754393\pi\) |
0.962262 | + | 0.272125i | \(0.0877266\pi\) | |||||||
\(938\) | 1.21292 | + | 7.65247i | 0.0396034 | + | 0.249862i | ||||
\(939\) | 30.6341 | + | 20.4898i | 0.999708 | + | 0.668661i | ||||
\(940\) | 9.31311 | + | 28.6406i | 0.303760 | + | 0.934154i | ||||
\(941\) | −40.1411 | + | 7.07797i | −1.30856 | + | 0.230735i | −0.784066 | − | 0.620677i | \(-0.786858\pi\) |
−0.524497 | + | 0.851412i | \(0.675747\pi\) | |||||||
\(942\) | −3.57693 | + | 42.8628i | −0.116543 | + | 1.39655i | ||||
\(943\) | −3.16215 | + | 3.76850i | −0.102974 | + | 0.122719i | ||||
\(944\) | −13.2920 | + | 53.4148i | −0.432617 | + | 1.73850i | ||||
\(945\) | 2.32583 | − | 11.6075i | 0.0756594 | − | 0.377593i | ||||
\(946\) | −23.7288 | − | 68.8879i | −0.771489 | − | 2.23974i | ||||
\(947\) | −22.9338 | − | 19.2438i | −0.745249 | − | 0.625339i | 0.188992 | − | 0.981979i | \(-0.439478\pi\) |
−0.934242 | + | 0.356640i | \(0.883922\pi\) | |||||||
\(948\) | 3.35957 | + | 3.45036i | 0.109114 | + | 0.112062i | ||||
\(949\) | 2.19387 | + | 12.4421i | 0.0712161 | + | 0.403887i | ||||
\(950\) | −0.00655085 | + | 0.377761i | −0.000212538 | + | 0.0122562i | ||||
\(951\) | −10.7656 | − | 21.8563i | −0.349099 | − | 0.708739i | ||||
\(952\) | 13.9591 | + | 13.0082i | 0.452418 | + | 0.421598i | ||||
\(953\) | 19.0568 | + | 11.0024i | 0.617309 | + | 0.356404i | 0.775821 | − | 0.630953i | \(-0.217336\pi\) |
−0.158511 | + | 0.987357i | \(0.550669\pi\) | |||||||
\(954\) | −18.0465 | − | 14.3791i | −0.584278 | − | 0.465541i | ||||
\(955\) | −14.8570 | + | 8.57767i | −0.480760 | + | 0.277567i | ||||
\(956\) | −28.6390 | + | 45.8552i | −0.926251 | + | 1.48306i | ||||
\(957\) | −29.8314 | + | 8.67990i | −0.964312 | + | 0.280581i | ||||
\(958\) | 2.28750 | − | 3.80801i | 0.0739056 | − | 0.123031i | ||||
\(959\) | −14.7074 | + | 12.3409i | −0.474926 | + | 0.398510i | ||||
\(960\) | −10.6612 | + | 29.7139i | −0.344089 | + | 0.959013i | ||||
\(961\) | −27.5471 | + | 10.0263i | −0.888617 | + | 0.323430i | ||||
\(962\) | 35.0384 | + | 30.4515i | 1.12968 | + | 0.981794i | ||||
\(963\) | 14.5904 | − | 46.1241i | 0.470168 | − | 1.48633i | ||||
\(964\) | −3.62632 | − | 25.7601i | −0.116796 | − | 0.829676i | ||||
\(965\) | −44.5796 | − | 7.86059i | −1.43507 | − | 0.253041i | ||||
\(966\) | 5.85794 | − | 1.59483i | 0.188476 | − | 0.0513127i | ||||
\(967\) | 6.36631 | − | 17.4913i | 0.204727 | − | 0.562482i | −0.794256 | − | 0.607584i | \(-0.792139\pi\) |
0.998982 | + | 0.0451016i | \(0.0143612\pi\) | |||||||
\(968\) | 66.8339 | + | 28.3424i | 2.14812 | + | 0.910959i | ||||
\(969\) | −9.68230 | − | 13.2180i | −0.311040 | − | 0.424622i | ||||
\(970\) | −9.10106 | + | 23.7171i | −0.292217 | + | 0.761511i | ||||
\(971\) | 18.6457 | 0.598371 | 0.299185 | − | 0.954195i | \(-0.403285\pi\) | ||||
0.299185 | + | 0.954195i | \(0.403285\pi\) | |||||||
\(972\) | −20.4009 | + | 23.5755i | −0.654360 | + | 0.756184i | ||||
\(973\) | −3.81093 | −0.122173 | ||||||||
\(974\) | −0.877434 | + | 2.28657i | −0.0281148 | + | 0.0732665i | ||||
\(975\) | 0.693536 | + | 0.946794i | 0.0222109 | + | 0.0303217i | ||||
\(976\) | 35.0200 | + | 2.43282i | 1.12096 | + | 0.0778728i | ||||
\(977\) | 11.4307 | − | 31.4057i | 0.365702 | − | 1.00476i | −0.611276 | − | 0.791417i | \(-0.709344\pi\) |
0.976978 | − | 0.213340i | \(-0.0684343\pi\) | |||||||
\(978\) | 14.2810 | − | 3.88802i | 0.456657 | − | 0.124325i | ||||
\(979\) | 79.5477 | + | 14.0264i | 2.54236 | + | 0.448286i | ||||
\(980\) | −4.51205 | + | 0.635175i | −0.144132 | + | 0.0202899i | ||||
\(981\) | −7.62828 | + | 24.1150i | −0.243552 | + | 0.769934i | ||||
\(982\) | 42.7252 | + | 37.1319i | 1.36342 | + | 1.18493i | ||||
\(983\) | 51.5691 | − | 18.7696i | 1.64480 | − | 0.598658i | 0.656931 | − | 0.753951i | \(-0.271854\pi\) |
0.987869 | + | 0.155292i | \(0.0496320\pi\) | |||||||
\(984\) | −9.46499 | + | 2.22744i | −0.301733 | + | 0.0710082i | ||||
\(985\) | 10.5680 | − | 8.86764i | 0.336726 | − | 0.282547i | ||||
\(986\) | 14.5528 | − | 24.2261i | 0.463455 | − | 0.771517i | ||||
\(987\) | 10.9923 | − | 3.19837i | 0.349887 | − | 0.101805i | ||||
\(988\) | −8.46023 | − | 5.28386i | −0.269156 | − | 0.168102i | ||||
\(989\) | 18.2628 | − | 10.5440i | 0.580723 | − | 0.335281i | ||||
\(990\) | 45.7757 | + | 36.4732i | 1.45485 | + | 1.15919i | ||||
\(991\) | −18.9035 | − | 10.9140i | −0.600490 | − | 0.346693i | 0.168744 | − | 0.985660i | \(-0.446029\pi\) |
−0.769234 | + | 0.638967i | \(0.779362\pi\) | |||||||
\(992\) | 0.635816 | − | 7.31534i | 0.0201872 | − | 0.232262i | ||||
\(993\) | −22.6448 | − | 45.9734i | −0.718611 | − | 1.45892i | ||||
\(994\) | −0.0946039 | + | 5.45543i | −0.00300065 | + | 0.173036i | ||||
\(995\) | −3.81928 | − | 21.6602i | −0.121079 | − | 0.686675i | ||||
\(996\) | 19.5387 | − | 19.0246i | 0.619106 | − | 0.602816i | ||||
\(997\) | 35.3258 | + | 29.6419i | 1.11878 | + | 0.938768i | 0.998542 | − | 0.0539767i | \(-0.0171897\pi\) |
0.120238 | + | 0.992745i | \(0.461634\pi\) | |||||||
\(998\) | 5.22308 | + | 15.1633i | 0.165334 | + | 0.479987i | ||||
\(999\) | 36.0115 | + | 31.6709i | 1.13935 | + | 1.00202i |
(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 | 756.2.cf.a.659.97 | yes | 648 | |
4.3 | odd | 2 | inner | 756.2.cf.a.659.36 | yes | 648 | |
27.5 | odd | 18 | inner | 756.2.cf.a.491.36 | ✓ | 648 | |
108.59 | even | 18 | inner | 756.2.cf.a.491.97 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.cf.a.491.36 | ✓ | 648 | 27.5 | odd | 18 | inner | |
756.2.cf.a.491.97 | yes | 648 | 108.59 | even | 18 | inner | |
756.2.cf.a.659.36 | yes | 648 | 4.3 | odd | 2 | inner | |
756.2.cf.a.659.97 | yes | 648 | 1.1 | even | 1 | trivial |