Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(26,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.t (of order \(6\), degree \(2\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.4 | ||
Character | \(\chi\) | \(=\) | 525.101 |
Dual form | 525.2.t.j.26.4 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31176 | + | 0.757344i | −0.927553 | + | 0.535523i | −0.886037 | − | 0.463615i | \(-0.846552\pi\) |
−0.0415164 | + | 0.999138i | \(0.513219\pi\) | |||||||
\(3\) | 1.68045 | + | 0.419611i | 0.970211 | + | 0.242263i | ||||
\(4\) | 0.147140 | − | 0.254854i | 0.0735701 | − | 0.127427i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.52214 | + | 0.722254i | −1.02966 | + | 0.294859i | ||||
\(7\) | 2.64468 | − | 0.0753638i | 0.999594 | − | 0.0284849i | ||||
\(8\) | − | 2.58363i | − | 0.913452i | ||||||
\(9\) | 2.64785 | + | 1.41027i | 0.882618 | + | 0.470092i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.86048 | + | 1.07415i | 0.560957 | + | 0.323869i | 0.753529 | − | 0.657414i | \(-0.228350\pi\) |
−0.192573 | + | 0.981283i | \(0.561683\pi\) | |||||||
\(12\) | 0.354202 | − | 0.366529i | 0.102249 | − | 0.105808i | ||||
\(13\) | − | 3.48097i | − | 0.965448i | −0.875773 | − | 0.482724i | \(-0.839647\pi\) | ||
0.875773 | − | 0.482724i | \(-0.160353\pi\) | |||||||
\(14\) | −3.41210 | + | 2.10179i | −0.911923 | + | 0.561727i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.25098 | + | 3.89881i | 0.562745 | + | 0.974703i | ||||
\(17\) | 1.78859 | − | 3.09793i | 0.433797 | − | 0.751359i | −0.563399 | − | 0.826185i | \(-0.690507\pi\) |
0.997197 | + | 0.0748259i | \(0.0238401\pi\) | |||||||
\(18\) | −4.54141 | + | 0.155396i | −1.07042 | + | 0.0366272i | ||||
\(19\) | 1.05858 | − | 0.611171i | 0.242855 | − | 0.140212i | −0.373633 | − | 0.927576i | \(-0.621888\pi\) |
0.616488 | + | 0.787364i | \(0.288555\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.47588 | + | 0.983091i | 0.976718 | + | 0.214528i | ||||
\(22\) | −3.25401 | −0.693757 | ||||||||
\(23\) | −1.31176 | + | 0.757344i | −0.273521 | + | 0.157917i | −0.630486 | − | 0.776200i | \(-0.717145\pi\) |
0.356966 | + | 0.934117i | \(0.383811\pi\) | |||||||
\(24\) | 1.08412 | − | 4.34168i | 0.221295 | − | 0.886241i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.63629 | + | 4.56619i | 0.517020 | + | 0.895504i | ||||
\(27\) | 3.85783 | + | 3.48097i | 0.742439 | + | 0.669913i | ||||
\(28\) | 0.369932 | − | 0.685096i | 0.0699105 | − | 0.129471i | ||||
\(29\) | 5.95645i | 1.10608i | 0.833153 | + | 0.553042i | \(0.186533\pi\) | ||||
−0.833153 | + | 0.553042i | \(0.813467\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.75098 | + | 1.58828i | 0.494091 | + | 0.285263i | 0.726270 | − | 0.687410i | \(-0.241252\pi\) |
−0.232179 | + | 0.972673i | \(0.574586\pi\) | |||||||
\(32\) | −1.43050 | − | 0.825899i | −0.252879 | − | 0.146000i | ||||
\(33\) | 2.67573 | + | 2.58574i | 0.465785 | + | 0.450120i | ||||
\(34\) | 5.41832i | 0.929234i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.749020 | − | 0.467309i | 0.124837 | − | 0.0778848i | ||||
\(37\) | −3.90175 | − | 6.75803i | −0.641444 | − | 1.11101i | −0.985111 | − | 0.171921i | \(-0.945002\pi\) |
0.343667 | − | 0.939092i | \(-0.388331\pi\) | |||||||
\(38\) | −0.925734 | + | 1.60342i | −0.150174 | + | 0.260109i | ||||
\(39\) | 1.46065 | − | 5.84961i | 0.233892 | − | 0.936688i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.8685 | −1.85355 | −0.926773 | − | 0.375622i | \(-0.877429\pi\) | ||||
−0.926773 | + | 0.375622i | \(0.877429\pi\) | |||||||
\(42\) | −6.61582 | + | 2.10021i | −1.02084 | + | 0.324069i | ||||
\(43\) | −2.99294 | −0.456419 | −0.228209 | − | 0.973612i | \(-0.573287\pi\) | ||||
−0.228209 | + | 0.973612i | \(0.573287\pi\) | |||||||
\(44\) | 0.547504 | − | 0.316101i | 0.0825393 | − | 0.0476541i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.14714 | − | 1.98691i | 0.169137 | − | 0.292953i | ||||
\(47\) | 3.05084 | + | 5.28420i | 0.445010 | + | 0.770780i | 0.998053 | − | 0.0623727i | \(-0.0198667\pi\) |
−0.553043 | + | 0.833153i | \(0.686533\pi\) | |||||||
\(48\) | 2.14668 | + | 7.49631i | 0.309847 | + | 1.08200i | ||||
\(49\) | 6.98864 | − | 0.398626i | 0.998377 | − | 0.0569466i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.30557 | − | 4.45542i | 0.602901 | − | 0.623883i | ||||
\(52\) | −0.887140 | − | 0.512191i | −0.123024 | − | 0.0710281i | ||||
\(53\) | 9.72202 | + | 5.61301i | 1.33542 | + | 0.771006i | 0.986125 | − | 0.166006i | \(-0.0530871\pi\) |
0.349297 | + | 0.937012i | \(0.386420\pi\) | |||||||
\(54\) | −7.69683 | − | 1.64449i | −1.04741 | − | 0.223787i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.194713 | − | 6.83288i | −0.0260196 | − | 0.913082i | ||||
\(57\) | 2.03535 | − | 0.582853i | 0.269589 | − | 0.0772008i | ||||
\(58\) | −4.51108 | − | 7.81342i | −0.592334 | − | 1.02595i | ||||
\(59\) | 1.08467 | − | 1.87871i | 0.141213 | − | 0.244587i | −0.786741 | − | 0.617283i | \(-0.788233\pi\) |
0.927954 | + | 0.372696i | \(0.121567\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.94338 | + | 1.69936i | −0.376861 | + | 0.217581i | −0.676452 | − | 0.736487i | \(-0.736483\pi\) |
0.299591 | + | 0.954068i | \(0.403150\pi\) | |||||||
\(62\) | −4.81149 | −0.611060 | ||||||||
\(63\) | 7.10900 | + | 3.53017i | 0.895650 | + | 0.444760i | ||||
\(64\) | −6.50196 | −0.812745 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −5.46821 | − | 1.36542i | −0.673090 | − | 0.168071i | ||||
\(67\) | −5.15882 | + | 8.93534i | −0.630250 | + | 1.09163i | 0.357250 | + | 0.934009i | \(0.383714\pi\) |
−0.987500 | + | 0.157617i | \(0.949619\pi\) | |||||||
\(68\) | −0.526347 | − | 0.911660i | −0.0638290 | − | 0.110555i | ||||
\(69\) | −2.52214 | + | 0.722254i | −0.303630 | + | 0.0869491i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.3968i | 1.23387i | 0.787013 | + | 0.616936i | \(0.211626\pi\) | ||||
−0.787013 | + | 0.616936i | \(0.788374\pi\) | |||||||
\(72\) | 3.64363 | − | 6.84108i | 0.429406 | − | 0.806229i | ||||
\(73\) | −5.93710 | − | 3.42779i | −0.694885 | − | 0.401192i | 0.110555 | − | 0.993870i | \(-0.464737\pi\) |
−0.805439 | + | 0.592678i | \(0.798071\pi\) | |||||||
\(74\) | 10.2363 | + | 5.90993i | 1.18995 | + | 0.687016i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 0.359711i | − | 0.0412617i | ||||||
\(77\) | 5.00133 | + | 2.70057i | 0.569955 | + | 0.307758i | ||||
\(78\) | 2.51414 | + | 8.77950i | 0.284671 | + | 0.994082i | ||||
\(79\) | −0.941421 | − | 1.63059i | −0.105918 | − | 0.183456i | 0.808195 | − | 0.588915i | \(-0.200445\pi\) |
−0.914113 | + | 0.405460i | \(0.867111\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.02225 | + | 7.46840i | 0.558028 | + | 0.829822i | ||||
\(82\) | 15.5686 | − | 8.98853i | 1.71926 | − | 0.992617i | ||||
\(83\) | −9.10486 | −0.999388 | −0.499694 | − | 0.866202i | \(-0.666554\pi\) | ||||
−0.499694 | + | 0.866202i | \(0.666554\pi\) | |||||||
\(84\) | 0.909127 | − | 0.996046i | 0.0991939 | − | 0.108678i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.92601 | − | 2.26668i | 0.423353 | − | 0.244423i | ||||
\(87\) | −2.49939 | + | 10.0095i | −0.267963 | + | 1.07313i | ||||
\(88\) | 2.77521 | − | 4.80681i | 0.295839 | − | 0.512407i | ||||
\(89\) | −0.889962 | − | 1.54146i | −0.0943358 | − | 0.163394i | 0.814995 | − | 0.579467i | \(-0.196739\pi\) |
−0.909331 | + | 0.416073i | \(0.863406\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.262339 | − | 9.20605i | −0.0275006 | − | 0.965056i | ||||
\(92\) | 0.445743i | 0.0464719i | ||||||||
\(93\) | 3.95644 | + | 3.82337i | 0.410263 | + | 0.396465i | ||||
\(94\) | −8.00392 | − | 4.62107i | −0.825541 | − | 0.476626i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.05733 | − | 1.98814i | −0.209976 | − | 0.202914i | ||||
\(97\) | − | 1.32584i | − | 0.134618i | −0.997732 | − | 0.0673092i | \(-0.978559\pi\) | ||
0.997732 | − | 0.0673092i | \(-0.0214414\pi\) | |||||||
\(98\) | −8.86551 | + | 5.81571i | −0.895552 | + | 0.587475i | ||||
\(99\) | 3.41144 | + | 5.46799i | 0.342863 | + | 0.549553i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.71005 | − | 11.6221i | 0.667675 | − | 1.15645i | −0.310878 | − | 0.950450i | \(-0.600623\pi\) |
0.978553 | − | 0.205997i | \(-0.0660438\pi\) | |||||||
\(102\) | −2.27359 | + | 9.10523i | −0.225119 | + | 0.901553i | ||||
\(103\) | 5.01154 | − | 2.89342i | 0.493802 | − | 0.285097i | −0.232348 | − | 0.972633i | \(-0.574641\pi\) |
0.726150 | + | 0.687536i | \(0.241308\pi\) | |||||||
\(104\) | −8.99355 | −0.881890 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.0039 | −1.65157 | ||||||||
\(107\) | 3.36576 | − | 1.94323i | 0.325381 | − | 0.187859i | −0.328408 | − | 0.944536i | \(-0.606512\pi\) |
0.653788 | + | 0.756677i | \(0.273179\pi\) | |||||||
\(108\) | 1.45478 | − | 0.470993i | 0.139986 | − | 0.0453214i | ||||
\(109\) | 2.60384 | − | 4.50998i | 0.249403 | − | 0.431978i | −0.713958 | − | 0.700189i | \(-0.753099\pi\) |
0.963360 | + | 0.268211i | \(0.0864324\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.72097 | − | 12.9938i | −0.353179 | − | 1.23331i | ||||
\(112\) | 6.24695 | + | 10.1415i | 0.590281 | + | 0.958278i | ||||
\(113\) | − | 9.36235i | − | 0.880736i | −0.897817 | − | 0.440368i | \(-0.854848\pi\) | ||
0.897817 | − | 0.440368i | \(-0.145152\pi\) | |||||||
\(114\) | −2.22847 | + | 2.30602i | −0.208715 | + | 0.215979i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.51803 | + | 0.876432i | 0.140945 | + | 0.0813747i | ||||
\(117\) | 4.90913 | − | 9.21710i | 0.453849 | − | 0.852121i | ||||
\(118\) | 3.28589i | 0.302490i | ||||||||
\(119\) | 4.49678 | − | 8.32783i | 0.412219 | − | 0.763411i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.19240 | − | 5.52940i | −0.290218 | − | 0.502673i | ||||
\(122\) | 2.57400 | − | 4.45830i | 0.233039 | − | 0.403636i | ||||
\(123\) | −19.9444 | − | 4.98015i | −1.79833 | − | 0.449045i | ||||
\(124\) | 0.809559 | − | 0.467399i | 0.0727006 | − | 0.0419737i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −11.9988 | + | 0.753230i | −1.06894 | + | 0.0671030i | ||||
\(127\) | −9.57778 | −0.849891 | −0.424945 | − | 0.905219i | \(-0.639707\pi\) | ||||
−0.424945 | + | 0.905219i | \(0.639707\pi\) | |||||||
\(128\) | 11.3900 | − | 6.57602i | 1.00674 | − | 0.581243i | ||||
\(129\) | −5.02950 | − | 1.25587i | −0.442823 | − | 0.110573i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.72508 | − | 8.18408i | −0.412832 | − | 0.715047i | 0.582366 | − | 0.812927i | \(-0.302127\pi\) |
−0.995198 | + | 0.0978802i | \(0.968794\pi\) | |||||||
\(132\) | 1.05269 | − | 0.301455i | 0.0916253 | − | 0.0262383i | ||||
\(133\) | 2.75354 | − | 1.69613i | 0.238762 | − | 0.147073i | ||||
\(134\) | − | 15.6280i | − | 1.35005i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.00392 | − | 4.62107i | −0.686330 | − | 0.396253i | ||||
\(137\) | −9.27125 | − | 5.35276i | −0.792096 | − | 0.457317i | 0.0486038 | − | 0.998818i | \(-0.484523\pi\) |
−0.840700 | + | 0.541501i | \(0.817856\pi\) | |||||||
\(138\) | 2.76144 | − | 2.85755i | 0.235070 | − | 0.243251i | ||||
\(139\) | − | 4.11136i | − | 0.348721i | −0.984682 | − | 0.174360i | \(-0.944214\pi\) | ||
0.984682 | − | 0.174360i | \(-0.0557858\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.90948 | + | 10.1600i | 0.245022 | + | 0.855629i | ||||
\(142\) | −7.87395 | − | 13.6381i | −0.660767 | − | 1.14448i | ||||
\(143\) | 3.73909 | − | 6.47629i | 0.312678 | − | 0.541575i | ||||
\(144\) | 0.461868 | + | 13.4980i | 0.0384890 | + | 1.12483i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 10.3841 | 0.859390 | ||||||||
\(147\) | 11.9114 | + | 2.26264i | 0.982432 | + | 0.186619i | ||||
\(148\) | −2.29642 | −0.188764 | ||||||||
\(149\) | 2.20294 | − | 1.27187i | 0.180472 | − | 0.104196i | −0.407042 | − | 0.913409i | \(-0.633440\pi\) |
0.587514 | + | 0.809214i | \(0.300107\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.80956 | − | 4.86630i | 0.228639 | − | 0.396014i | −0.728766 | − | 0.684763i | \(-0.759906\pi\) |
0.957405 | + | 0.288749i | \(0.0932392\pi\) | |||||||
\(152\) | −1.57904 | − | 2.73498i | −0.128077 | − | 0.221836i | ||||
\(153\) | 9.10486 | − | 5.68046i | 0.736084 | − | 0.459238i | ||||
\(154\) | −8.60580 | + | 0.245234i | −0.693475 | + | 0.0197616i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.27588 | − | 1.23297i | −0.102152 | − | 0.0987164i | ||||
\(157\) | −12.0584 | − | 6.96194i | −0.962368 | − | 0.555623i | −0.0654670 | − | 0.997855i | \(-0.520854\pi\) |
−0.896901 | + | 0.442231i | \(0.854187\pi\) | |||||||
\(158\) | 2.46983 | + | 1.42596i | 0.196489 | + | 0.113443i | ||||
\(159\) | 13.9821 | + | 13.5119i | 1.10885 | + | 1.07156i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.41210 | + | 2.10179i | −0.268911 | + | 0.165644i | ||||
\(162\) | −12.2441 | − | 5.99317i | −0.961990 | − | 0.470868i | ||||
\(163\) | −2.03535 | − | 3.52533i | −0.159421 | − | 0.276125i | 0.775239 | − | 0.631668i | \(-0.217629\pi\) |
−0.934660 | + | 0.355543i | \(0.884296\pi\) | |||||||
\(164\) | −1.74633 | + | 3.02473i | −0.136366 | + | 0.236192i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.9434 | − | 6.89551i | 0.926986 | − | 0.535196i | ||||
\(167\) | −13.9722 | −1.08120 | −0.540602 | − | 0.841279i | \(-0.681803\pi\) | ||||
−0.540602 | + | 0.841279i | \(0.681803\pi\) | |||||||
\(168\) | 2.53995 | − | 11.5640i | 0.195961 | − | 0.892185i | ||||
\(169\) | 0.882841 | 0.0679109 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.66488 | − | 0.125403i | 0.280261 | − | 0.00958983i | ||||
\(172\) | −0.440382 | + | 0.762763i | −0.0335788 | + | 0.0581602i | ||||
\(173\) | −5.00133 | − | 8.66256i | −0.380244 | − | 0.658602i | 0.610853 | − | 0.791744i | \(-0.290827\pi\) |
−0.991097 | + | 0.133142i | \(0.957493\pi\) | |||||||
\(174\) | −4.30206 | − | 15.0230i | −0.326139 | − | 1.13889i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 9.67157i | 0.729022i | ||||||||
\(177\) | 2.61107 | − | 2.70195i | 0.196260 | − | 0.203091i | ||||
\(178\) | 2.33483 | + | 1.34801i | 0.175003 | + | 0.101038i | ||||
\(179\) | −14.0378 | − | 8.10475i | −1.04924 | − | 0.605777i | −0.126801 | − | 0.991928i | \(-0.540471\pi\) |
−0.922436 | + | 0.386151i | \(0.873804\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.4123i | 1.44290i | 0.692465 | + | 0.721451i | \(0.256525\pi\) | ||||
−0.692465 | + | 0.721451i | \(0.743475\pi\) | |||||||
\(182\) | 7.31627 | + | 11.8774i | 0.542318 | + | 0.880414i | ||||
\(183\) | −5.65929 | + | 1.62062i | −0.418347 | + | 0.119800i | ||||
\(184\) | 1.95670 | + | 3.38910i | 0.144250 | + | 0.249848i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −8.08550 | − | 2.01896i | −0.592857 | − | 0.148037i | ||||
\(187\) | 6.65529 | − | 3.84243i | 0.486683 | − | 0.280987i | ||||
\(188\) | 1.79560 | 0.130958 | ||||||||
\(189\) | 10.4651 | + | 8.91531i | 0.761221 | + | 0.648493i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 11.0018 | − | 6.35188i | 0.796061 | − | 0.459606i | −0.0460309 | − | 0.998940i | \(-0.514657\pi\) |
0.842092 | + | 0.539334i | \(0.181324\pi\) | |||||||
\(192\) | −10.9262 | − | 2.72830i | −0.788534 | − | 0.196898i | ||||
\(193\) | −10.4098 | + | 18.0302i | −0.749311 | + | 1.29785i | 0.198842 | + | 0.980032i | \(0.436282\pi\) |
−0.948153 | + | 0.317813i | \(0.897051\pi\) | |||||||
\(194\) | 1.00411 | + | 1.73918i | 0.0720912 | + | 0.124866i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.926718 | − | 1.83974i | 0.0661942 | − | 0.131410i | ||||
\(197\) | − | 2.23465i | − | 0.159212i | −0.996826 | − | 0.0796062i | \(-0.974634\pi\) | ||
0.996826 | − | 0.0796062i | \(-0.0253663\pi\) | |||||||
\(198\) | −8.61613 | − | 4.58904i | −0.612322 | − | 0.326129i | ||||
\(199\) | 21.5831 | + | 12.4610i | 1.52998 | + | 0.883337i | 0.999362 | + | 0.0357284i | \(0.0113751\pi\) |
0.530622 | + | 0.847608i | \(0.321958\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.4185 | + | 12.8507i | −0.875936 | + | 0.906421i | ||||
\(202\) | 20.3273i | 1.43022i | ||||||||
\(203\) | 0.448901 | + | 15.7529i | 0.0315066 | + | 1.10564i | ||||
\(204\) | −0.501960 | − | 1.75286i | −0.0351442 | − | 0.122725i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −4.38262 | + | 7.59093i | −0.305352 | + | 0.528885i | ||||
\(207\) | −4.54141 | + | 0.155396i | −0.315650 | + | 0.0108008i | ||||
\(208\) | 13.5716 | − | 7.83560i | 0.941025 | − | 0.543301i | ||||
\(209\) | 2.62596 | 0.181641 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.61520 | −0.455409 | −0.227705 | − | 0.973730i | \(-0.573122\pi\) | ||||
−0.227705 | + | 0.973730i | \(0.573122\pi\) | |||||||
\(212\) | 2.86100 | − | 1.65180i | 0.196494 | − | 0.113446i | ||||
\(213\) | −4.36261 | + | 17.4713i | −0.298921 | + | 1.19712i | ||||
\(214\) | −2.94338 | + | 5.09808i | −0.201205 | + | 0.348498i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.99355 | − | 9.96721i | 0.611934 | − | 0.678183i | ||||
\(217\) | 7.39515 | + | 3.99316i | 0.502016 | + | 0.271073i | ||||
\(218\) | 7.88801i | 0.534243i | ||||||||
\(219\) | −8.53868 | − | 8.25151i | −0.576991 | − | 0.557585i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.7838 | − | 6.22604i | −0.725398 | − | 0.418808i | ||||
\(222\) | 14.7218 | + | 14.2266i | 0.988060 | + | 0.954830i | ||||
\(223\) | − | 4.31027i | − | 0.288637i | −0.989531 | − | 0.144318i | \(-0.953901\pi\) | ||
0.989531 | − | 0.144318i | \(-0.0460990\pi\) | |||||||
\(224\) | −3.84545 | − | 2.07643i | −0.256935 | − | 0.138737i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.09052 | + | 12.2811i | 0.471654 | + | 0.816929i | ||||
\(227\) | 5.55561 | − | 9.62260i | 0.368739 | − | 0.638675i | −0.620630 | − | 0.784104i | \(-0.713123\pi\) |
0.989369 | + | 0.145429i | \(0.0464563\pi\) | |||||||
\(228\) | 0.150939 | − | 0.604478i | 0.00999617 | − | 0.0400326i | ||||
\(229\) | −8.63774 | + | 4.98700i | −0.570798 | + | 0.329550i | −0.757468 | − | 0.652872i | \(-0.773564\pi\) |
0.186670 | + | 0.982423i | \(0.440230\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.27132 | + | 6.63680i | 0.478418 | + | 0.436669i | ||||
\(232\) | 15.3893 | 1.01036 | ||||||||
\(233\) | −17.8650 | + | 10.3144i | −1.17037 | + | 0.675716i | −0.953768 | − | 0.300543i | \(-0.902832\pi\) |
−0.216606 | + | 0.976259i | \(0.569499\pi\) | |||||||
\(234\) | 0.540929 | + | 15.8085i | 0.0353616 | + | 1.03343i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.319198 | − | 0.552868i | −0.0207780 | − | 0.0359886i | ||||
\(237\) | −0.897801 | − | 3.13516i | −0.0583184 | − | 0.203650i | ||||
\(238\) | 0.408345 | + | 14.3297i | 0.0264691 | + | 0.928857i | ||||
\(239\) | 2.87353i | 0.185873i | 0.995672 | + | 0.0929365i | \(0.0296254\pi\) | ||||
−0.995672 | + | 0.0929365i | \(0.970375\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.5792 | + | 13.0361i | 1.45445 | + | 0.839728i | 0.998729 | − | 0.0503940i | \(-0.0160477\pi\) |
0.455722 | + | 0.890122i | \(0.349381\pi\) | |||||||
\(242\) | 8.37532 | + | 4.83549i | 0.538386 | + | 0.310837i | ||||
\(243\) | 5.30584 | + | 14.6577i | 0.340370 | + | 0.940292i | ||||
\(244\) | 1.00018i | 0.0640298i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 29.9340 | − | 8.57206i | 1.90852 | − | 0.546534i | ||||
\(247\) | −2.12747 | − | 3.68488i | −0.135368 | − | 0.234464i | ||||
\(248\) | 4.10353 | − | 7.10752i | 0.260574 | − | 0.451328i | ||||
\(249\) | −15.3003 | − | 3.82050i | −0.969617 | − | 0.242114i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.161120 | 0.0101698 | 0.00508489 | − | 0.999987i | \(-0.498381\pi\) | ||||
0.00508489 | + | 0.999987i | \(0.498381\pi\) | |||||||
\(252\) | 1.94570 | − | 1.29233i | 0.122567 | − | 0.0814091i | ||||
\(253\) | −3.25401 | −0.204578 | ||||||||
\(254\) | 12.5637 | − | 7.25368i | 0.788319 | − | 0.455136i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.45866 | + | 5.99057i | −0.216166 | + | 0.374411i | ||||
\(257\) | 6.56514 | + | 11.3712i | 0.409522 | + | 0.709314i | 0.994836 | − | 0.101493i | \(-0.0323620\pi\) |
−0.585314 | + | 0.810807i | \(0.699029\pi\) | |||||||
\(258\) | 7.54861 | − | 2.16166i | 0.469956 | − | 0.134579i | ||||
\(259\) | −10.8282 | − | 17.5788i | −0.672830 | − | 1.09229i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.40022 | + | 15.7718i | −0.519961 | + | 0.976249i | ||||
\(262\) | 12.3963 | + | 7.15703i | 0.765848 | + | 0.442163i | ||||
\(263\) | 15.3551 | + | 8.86526i | 0.946835 | + | 0.546655i | 0.892096 | − | 0.451846i | \(-0.149234\pi\) |
0.0547384 | + | 0.998501i | \(0.482568\pi\) | |||||||
\(264\) | 6.68061 | − | 6.91311i | 0.411163 | − | 0.425473i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.32743 | + | 4.31029i | −0.142704 | + | 0.264281i | ||||
\(267\) | −0.848727 | − | 2.96379i | −0.0519412 | − | 0.181381i | ||||
\(268\) | 1.51814 | + | 2.62950i | 0.0927352 | + | 0.160622i | ||||
\(269\) | −2.20294 | + | 3.81561i | −0.134316 | + | 0.232642i | −0.925336 | − | 0.379148i | \(-0.876217\pi\) |
0.791020 | + | 0.611790i | \(0.209550\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.4287 | − | 11.7945i | 1.24095 | − | 0.716465i | 0.271665 | − | 0.962392i | \(-0.412426\pi\) |
0.969288 | + | 0.245927i | \(0.0790923\pi\) | |||||||
\(272\) | 16.1043 | 0.976469 | ||||||||
\(273\) | 3.42211 | − | 15.5804i | 0.207116 | − | 0.942970i | ||||
\(274\) | 16.2155 | 0.979615 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.187039 | + | 0.749051i | −0.0112584 | + | 0.0450876i | ||||
\(277\) | −6.41589 | + | 11.1127i | −0.385494 | + | 0.667695i | −0.991838 | − | 0.127508i | \(-0.959302\pi\) |
0.606344 | + | 0.795203i | \(0.292636\pi\) | |||||||
\(278\) | 3.11371 | + | 5.39311i | 0.186748 | + | 0.323457i | ||||
\(279\) | 5.04428 | + | 8.08517i | 0.301993 | + | 0.484046i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 21.2397i | − | 1.26706i | −0.773719 | − | 0.633528i | \(-0.781606\pi\) | ||
0.773719 | − | 0.633528i | \(-0.218394\pi\) | |||||||
\(282\) | −11.5112 | − | 11.1240i | −0.685480 | − | 0.662426i | ||||
\(283\) | 5.67603 | + | 3.27706i | 0.337405 | + | 0.194801i | 0.659124 | − | 0.752034i | \(-0.270927\pi\) |
−0.321719 | + | 0.946835i | \(0.604261\pi\) | |||||||
\(284\) | 2.64967 | + | 1.52979i | 0.157229 | + | 0.0907761i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.3271i | 0.669786i | ||||||||
\(287\) | −31.3883 | + | 0.894454i | −1.85279 | + | 0.0527980i | ||||
\(288\) | −2.62301 | − | 4.20426i | −0.154562 | − | 0.247738i | ||||
\(289\) | 2.10188 | + | 3.64056i | 0.123640 | + | 0.214151i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.556336 | − | 2.22801i | 0.0326130 | − | 0.130608i | ||||
\(292\) | −1.74717 | + | 1.00873i | −0.102245 | + | 0.0590315i | ||||
\(293\) | −3.71937 | −0.217288 | −0.108644 | − | 0.994081i | \(-0.534651\pi\) | ||||
−0.108644 | + | 0.994081i | \(0.534651\pi\) | |||||||
\(294\) | −17.3384 | + | 6.05296i | −1.01120 | + | 0.353016i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −17.4603 | + | 10.0807i | −1.01486 | + | 0.585928i | ||||
\(297\) | 3.43834 | + | 10.6202i | 0.199513 | + | 0.616245i | ||||
\(298\) | −1.92648 | + | 3.33677i | −0.111598 | + | 0.193294i | ||||
\(299\) | 2.63629 | + | 4.56619i | 0.152461 | + | 0.264070i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.91536 | + | 0.225559i | −0.456234 | + | 0.0130010i | ||||
\(302\) | 8.51121i | 0.489765i | ||||||||
\(303\) | 16.1527 | − | 16.7149i | 0.927949 | − | 0.960245i | ||||
\(304\) | 4.76568 | + | 2.75147i | 0.273331 | + | 0.157808i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −7.64132 | + | 14.3469i | −0.436825 | + | 0.820158i | ||||
\(307\) | − | 11.2102i | − | 0.639800i | −0.947451 | − | 0.319900i | \(-0.896351\pi\) | ||
0.947451 | − | 0.319900i | \(-0.103649\pi\) | |||||||
\(308\) | 1.42415 | − | 0.877248i | 0.0811484 | − | 0.0499859i | ||||
\(309\) | 9.63578 | − | 2.75935i | 0.548160 | − | 0.156974i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.46050 | + | 16.3861i | −0.536456 | + | 0.929168i | 0.462636 | + | 0.886548i | \(0.346904\pi\) |
−0.999091 | + | 0.0426199i | \(0.986430\pi\) | |||||||
\(312\) | −15.1133 | − | 3.77380i | −0.855620 | − | 0.213649i | ||||
\(313\) | −14.1859 | + | 8.19024i | −0.801835 | + | 0.462940i | −0.844112 | − | 0.536166i | \(-0.819872\pi\) |
0.0422775 | + | 0.999106i | \(0.486539\pi\) | |||||||
\(314\) | 21.0903 | 1.19020 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.554083 | −0.0311696 | ||||||||
\(317\) | −8.76134 | + | 5.05836i | −0.492086 | + | 0.284106i | −0.725439 | − | 0.688286i | \(-0.758363\pi\) |
0.233353 | + | 0.972392i | \(0.425030\pi\) | |||||||
\(318\) | −28.5743 | − | 7.13503i | −1.60237 | − | 0.400113i | ||||
\(319\) | −6.39812 | + | 11.0819i | −0.358226 | + | 0.620466i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.47141 | − | 1.85319i | 0.361199 | − | 0.103435i | ||||
\(322\) | 2.88408 | − | 5.34118i | 0.160723 | − | 0.297652i | ||||
\(323\) | − | 4.37254i | − | 0.243295i | ||||||
\(324\) | 2.64233 | − | 0.181040i | 0.146796 | − | 0.0100578i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 5.33977 | + | 3.08292i | 0.295743 | + | 0.170747i | ||||
\(327\) | 6.26807 | − | 6.48622i | 0.346625 | − | 0.358689i | ||||
\(328\) | 30.6638i | 1.69313i | ||||||||
\(329\) | 8.46672 | + | 13.7451i | 0.466785 | + | 0.757791i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.63774 | − | 16.6931i | −0.529738 | − | 0.917533i | −0.999398 | − | 0.0346861i | \(-0.988957\pi\) |
0.469660 | − | 0.882847i | \(-0.344376\pi\) | |||||||
\(332\) | −1.33969 | + | 2.32041i | −0.0735251 | + | 0.127349i | ||||
\(333\) | −0.800582 | − | 23.3968i | −0.0438716 | − | 1.28214i | ||||
\(334\) | 18.3282 | − | 10.5818i | 1.00287 | − | 0.579009i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 6.24224 | + | 19.6635i | 0.340542 | + | 1.07273i | ||||
\(337\) | −23.6381 | −1.28765 | −0.643824 | − | 0.765174i | \(-0.722653\pi\) | ||||
−0.643824 | + | 0.765174i | \(0.722653\pi\) | |||||||
\(338\) | −1.15807 | + | 0.668614i | −0.0629909 | + | 0.0363678i | ||||
\(339\) | 3.92855 | − | 15.7330i | 0.213369 | − | 0.854499i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.41210 | + | 5.90993i | 0.184776 | + | 0.320041i | ||||
\(342\) | −4.71247 | + | 2.94008i | −0.254821 | + | 0.158981i | ||||
\(343\) | 18.4527 | − | 1.58093i | 0.996350 | − | 0.0853621i | ||||
\(344\) | 7.73266i | 0.416917i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.1211 | + | 7.57546i | 0.705394 | + | 0.407259i | ||||
\(347\) | 13.7760 | + | 7.95360i | 0.739536 | + | 0.426971i | 0.821901 | − | 0.569631i | \(-0.192914\pi\) |
−0.0823644 | + | 0.996602i | \(0.526247\pi\) | |||||||
\(348\) | 2.18321 | + | 2.10979i | 0.117032 | + | 0.113096i | ||||
\(349\) | − | 0.0192397i | − | 0.00102988i | −1.00000 | 0.000514938i | \(-0.999836\pi\) | |||
1.00000 | 0.000514938i | \(-0.000163910\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 12.1172 | − | 13.4290i | 0.646766 | − | 0.716786i | ||||
\(352\) | −1.77428 | − | 3.07314i | −0.0945695 | − | 0.163799i | ||||
\(353\) | 12.7100 | − | 22.0143i | 0.676484 | − | 1.17170i | −0.299549 | − | 0.954081i | \(-0.596836\pi\) |
0.976033 | − | 0.217624i | \(-0.0698305\pi\) | |||||||
\(354\) | −1.37880 | + | 5.52178i | −0.0732821 | + | 0.293479i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −0.523797 | −0.0277612 | ||||||||
\(357\) | 11.0511 | − | 12.1076i | 0.584885 | − | 0.640804i | ||||
\(358\) | 24.5523 | 1.29763 | ||||||||
\(359\) | −20.9396 | + | 12.0895i | −1.10515 | + | 0.638057i | −0.937568 | − | 0.347801i | \(-0.886928\pi\) |
−0.167579 | + | 0.985859i | \(0.553595\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.75294 | + | 15.1605i | −0.460681 | + | 0.797923i | ||||
\(362\) | −14.7018 | − | 25.4642i | −0.772708 | − | 1.33837i | ||||
\(363\) | −3.04448 | − | 10.6315i | −0.159794 | − | 0.558007i | ||||
\(364\) | −2.38480 | − | 1.28772i | −0.124998 | − | 0.0674949i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 6.19625 | − | 6.41189i | 0.323883 | − | 0.335155i | ||||
\(367\) | 7.85721 | + | 4.53636i | 0.410143 | + | 0.236796i | 0.690851 | − | 0.722997i | \(-0.257236\pi\) |
−0.280708 | + | 0.959793i | \(0.590569\pi\) | |||||||
\(368\) | −5.90548 | − | 3.40953i | −0.307845 | − | 0.177734i | ||||
\(369\) | −31.4260 | − | 16.7378i | −1.63597 | − | 0.871336i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 26.1346 | + | 14.1119i | 1.35684 | + | 0.732654i | ||||
\(372\) | 1.55655 | − | 0.445743i | 0.0807035 | − | 0.0231107i | ||||
\(373\) | 7.78183 | + | 13.4785i | 0.402928 | + | 0.697891i | 0.994078 | − | 0.108670i | \(-0.0346592\pi\) |
−0.591150 | + | 0.806562i | \(0.701326\pi\) | |||||||
\(374\) | −5.82009 | + | 10.0807i | −0.300950 | + | 0.521260i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 13.6524 | − | 7.88224i | 0.704071 | − | 0.406496i | ||||
\(377\) | 20.7342 | 1.06787 | ||||||||
\(378\) | −20.4796 | − | 3.76908i | −1.05336 | − | 0.193861i | ||||
\(379\) | −34.0984 | −1.75152 | −0.875758 | − | 0.482751i | \(-0.839638\pi\) | ||||
−0.875758 | + | 0.482751i | \(0.839638\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −16.0950 | − | 4.01894i | −0.824573 | − | 0.205897i | ||||
\(382\) | −9.62112 | + | 16.6643i | −0.492259 | + | 0.852618i | ||||
\(383\) | −5.28833 | − | 9.15965i | −0.270221 | − | 0.468036i | 0.698697 | − | 0.715417i | \(-0.253763\pi\) |
−0.968918 | + | 0.247381i | \(0.920430\pi\) | |||||||
\(384\) | 21.8997 | − | 6.27133i | 1.11757 | − | 0.320032i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 31.5351i | − | 1.60509i | ||||||
\(387\) | −7.92486 | − | 4.22087i | −0.402843 | − | 0.214559i | ||||
\(388\) | −0.337895 | − | 0.195084i | −0.0171540 | − | 0.00990388i | ||||
\(389\) | −14.6659 | − | 8.46736i | −0.743590 | − | 0.429312i | 0.0797828 | − | 0.996812i | \(-0.474577\pi\) |
−0.823373 | + | 0.567500i | \(0.807911\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.41832i | 0.274016i | ||||||||
\(392\) | −1.02990 | − | 18.0561i | −0.0520180 | − | 0.911970i | ||||
\(393\) | −4.50615 | − | 15.7357i | −0.227305 | − | 0.793760i | ||||
\(394\) | 1.69240 | + | 2.93132i | 0.0852619 | + | 0.147678i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.89550 | − | 0.0648594i | 0.0952524 | − | 0.00325931i | ||||
\(397\) | 0.353188 | − | 0.203913i | 0.0177260 | − | 0.0102341i | −0.491111 | − | 0.871097i | \(-0.663409\pi\) |
0.508837 | + | 0.860863i | \(0.330076\pi\) | |||||||
\(398\) | −37.7491 | −1.89219 | ||||||||
\(399\) | 5.33892 | − | 1.69485i | 0.267280 | − | 0.0848487i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −24.2302 | + | 13.9893i | −1.21000 | + | 0.698593i | −0.962759 | − | 0.270361i | \(-0.912857\pi\) |
−0.247240 | + | 0.968954i | \(0.579524\pi\) | |||||||
\(402\) | 6.55769 | − | 26.2622i | 0.327068 | − | 1.30984i | ||||
\(403\) | 5.52875 | − | 9.57608i | 0.275407 | − | 0.477019i | ||||
\(404\) | −1.97464 | − | 3.42017i | −0.0982418 | − | 0.170160i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.5192 | − | 20.3240i | −0.621317 | − | 1.00866i | ||||
\(407\) | − | 16.7643i | − | 0.830974i | ||||||
\(408\) | −11.5112 | − | 11.1240i | −0.569888 | − | 0.550721i | ||||
\(409\) | −2.26960 | − | 1.31036i | −0.112225 | − | 0.0647929i | 0.442837 | − | 0.896602i | \(-0.353972\pi\) |
−0.555062 | + | 0.831809i | \(0.687305\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.3338 | − | 12.8854i | −0.657709 | − | 0.635589i | ||||
\(412\) | − | 1.70295i | − | 0.0838984i | ||||||
\(413\) | 2.72703 | − | 5.05033i | 0.134188 | − | 0.248511i | ||||
\(414\) | 5.83954 | − | 3.64325i | 0.286998 | − | 0.179056i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −2.87493 | + | 4.97953i | −0.140955 | + | 0.244141i | ||||
\(417\) | 1.72517 | − | 6.90895i | 0.0844820 | − | 0.338333i | ||||
\(418\) | −3.44462 | + | 1.98876i | −0.168482 | + | 0.0972732i | ||||
\(419\) | 8.39649 | 0.410195 | 0.205098 | − | 0.978742i | \(-0.434249\pi\) | ||||
0.205098 | + | 0.978742i | \(0.434249\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.84952 | −0.382562 | −0.191281 | − | 0.981535i | \(-0.561264\pi\) | ||||
−0.191281 | + | 0.981535i | \(0.561264\pi\) | |||||||
\(422\) | 8.67754 | − | 5.00998i | 0.422416 | − | 0.243882i | ||||
\(423\) | 0.625987 | + | 18.2943i | 0.0304365 | + | 0.889500i | ||||
\(424\) | 14.5020 | − | 25.1181i | 0.704277 | − | 1.21984i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −7.50912 | − | 26.2222i | −0.363818 | − | 1.27047i | ||||
\(427\) | −7.65622 | + | 4.71609i | −0.370511 | + | 0.228227i | ||||
\(428\) | − | 1.14371i | − | 0.0552831i | ||||||
\(429\) | 9.00089 | − | 9.31415i | 0.434567 | − | 0.449691i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.6154 | − | 6.12880i | −0.511326 | − | 0.295214i | 0.222053 | − | 0.975035i | \(-0.428724\pi\) |
−0.733378 | + | 0.679821i | \(0.762058\pi\) | |||||||
\(432\) | −4.88776 | + | 22.8765i | −0.235162 | + | 1.10065i | ||||
\(433\) | − | 5.13957i | − | 0.246992i | −0.992345 | − | 0.123496i | \(-0.960589\pi\) | ||
0.992345 | − | 0.123496i | \(-0.0394106\pi\) | |||||||
\(434\) | −12.7249 | + | 0.362613i | −0.610813 | + | 0.0174060i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.766259 | − | 1.32720i | −0.0366971 | − | 0.0635613i | ||||
\(437\) | −0.925734 | + | 1.60342i | −0.0442838 | + | 0.0767019i | ||||
\(438\) | 17.4499 | + | 4.35726i | 0.833790 | + | 0.208198i | ||||
\(439\) | 14.4620 | − | 8.34964i | 0.690234 | − | 0.398507i | −0.113466 | − | 0.993542i | \(-0.536195\pi\) |
0.803700 | + | 0.595035i | \(0.202862\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 19.0671 | + | 8.80040i | 0.907955 | + | 0.419067i | ||||
\(442\) | 18.8610 | 0.897127 | ||||||||
\(443\) | 0.218429 | − | 0.126110i | 0.0103779 | − | 0.00599167i | −0.494802 | − | 0.869006i | \(-0.664759\pi\) |
0.505180 | + | 0.863014i | \(0.331426\pi\) | |||||||
\(444\) | −3.85902 | − | 0.963602i | −0.183141 | − | 0.0457305i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 3.26436 | + | 5.65403i | 0.154572 | + | 0.267726i | ||||
\(447\) | 4.23563 | − | 1.21294i | 0.200339 | − | 0.0573700i | ||||
\(448\) | −17.1956 | + | 0.490013i | −0.812415 | + | 0.0231509i | ||||
\(449\) | 28.8710i | 1.36250i | 0.732049 | + | 0.681252i | \(0.238564\pi\) | ||||
−0.732049 | + | 0.681252i | \(0.761436\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −22.0811 | − | 12.7485i | −1.03976 | − | 0.600305i | ||||
\(452\) | −2.38603 | − | 1.37758i | −0.112230 | − | 0.0647958i | ||||
\(453\) | 6.76329 | − | 6.99867i | 0.317767 | − | 0.328826i | ||||
\(454\) | 16.8300i | 0.789873i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.50588 | − | 5.25859i | −0.0705193 | − | 0.246256i | ||||
\(457\) | 12.0368 | + | 20.8483i | 0.563056 | + | 0.975242i | 0.997228 | + | 0.0744117i | \(0.0237079\pi\) |
−0.434171 | + | 0.900830i | \(0.642959\pi\) | |||||||
\(458\) | 7.55375 | − | 13.0835i | 0.352964 | − | 0.611351i | ||||
\(459\) | 17.6839 | − | 5.72525i | 0.825413 | − | 0.267232i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 39.8709 | 1.85697 | 0.928486 | − | 0.371367i | \(-0.121111\pi\) | ||||
0.928486 | + | 0.371367i | \(0.121111\pi\) | |||||||
\(462\) | −14.5646 | − | 3.19898i | −0.677604 | − | 0.148830i | ||||
\(463\) | −29.8417 | −1.38686 | −0.693430 | − | 0.720524i | \(-0.743901\pi\) | ||||
−0.693430 | + | 0.720524i | \(0.743901\pi\) | |||||||
\(464\) | −23.2231 | + | 13.4078i | −1.07810 | + | 0.622443i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 15.6230 | − | 27.0599i | 0.723723 | − | 1.25353i | ||||
\(467\) | 2.09082 | + | 3.62140i | 0.0967515 | + | 0.167579i | 0.910338 | − | 0.413865i | \(-0.135821\pi\) |
−0.813587 | + | 0.581444i | \(0.802488\pi\) | |||||||
\(468\) | −1.62669 | − | 2.60732i | −0.0751937 | − | 0.120523i | ||||
\(469\) | −12.9700 | + | 24.0199i | −0.598900 | + | 1.10914i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −17.3423 | − | 16.7591i | −0.799093 | − | 0.772218i | ||||
\(472\) | −4.85390 | − | 2.80240i | −0.223419 | − | 0.128991i | ||||
\(473\) | −5.56831 | − | 3.21487i | −0.256031 | − | 0.147820i | ||||
\(474\) | 3.55209 | + | 3.43263i | 0.163153 | + | 0.157666i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.46073 | − | 2.37138i | −0.0669522 | − | 0.108692i | ||||
\(477\) | 17.8266 | + | 28.5731i | 0.816223 | + | 1.30827i | ||||
\(478\) | −2.17625 | − | 3.76937i | −0.0995393 | − | 0.172407i | ||||
\(479\) | 13.9676 | − | 24.1926i | 0.638196 | − | 1.10539i | −0.347632 | − | 0.937631i | \(-0.613014\pi\) |
0.985828 | − | 0.167757i | \(-0.0536525\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.5245 | + | 13.5819i | −1.07262 | + | 0.619280i | ||||
\(482\) | −39.4912 | −1.79878 | ||||||||
\(483\) | −6.61582 | + | 2.10021i | −0.301030 | + | 0.0955627i | ||||
\(484\) | −1.87892 | −0.0854055 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −18.0609 | − | 15.2090i | −0.819259 | − | 0.689895i | ||||
\(487\) | 18.6216 | − | 32.2536i | 0.843826 | − | 1.46155i | −0.0428116 | − | 0.999083i | \(-0.513632\pi\) |
0.886637 | − | 0.462466i | \(-0.153035\pi\) | |||||||
\(488\) | 4.39053 | + | 7.60462i | 0.198750 | + | 0.344245i | ||||
\(489\) | −1.94104 | − | 6.77821i | −0.0877770 | − | 0.306521i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 5.90572i | − | 0.266522i | −0.991081 | − | 0.133261i | \(-0.957455\pi\) | ||
0.991081 | − | 0.133261i | \(-0.0425448\pi\) | |||||||
\(492\) | −4.20384 | + | 4.35015i | −0.189524 | + | 0.196120i | ||||
\(493\) | 18.4527 | + | 10.6536i | 0.831066 | + | 0.479816i | ||||
\(494\) | 5.58145 | + | 3.22245i | 0.251121 | + | 0.144985i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 14.3007i | 0.642122i | ||||||||
\(497\) | 0.783542 | + | 27.4962i | 0.0351467 | + | 1.23337i | ||||
\(498\) | 22.9637 | − | 6.57602i | 1.02903 | − | 0.294678i | ||||
\(499\) | −9.37010 | − | 16.2295i | −0.419463 | − | 0.726532i | 0.576422 | − | 0.817152i | \(-0.304448\pi\) |
−0.995886 | + | 0.0906204i | \(0.971115\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −23.4797 | − | 5.86290i | −1.04899 | − | 0.261935i | ||||
\(502\) | −0.211350 | + | 0.122023i | −0.00943301 | + | 0.00544615i | ||||
\(503\) | 32.0398 | 1.42858 | 0.714291 | − | 0.699849i | \(-0.246749\pi\) | ||||
0.714291 | + | 0.699849i | \(0.246749\pi\) | |||||||
\(504\) | 9.12067 | − | 18.3671i | 0.406267 | − | 0.818134i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4.26847 | − | 2.46440i | 0.189757 | − | 0.109556i | ||||
\(507\) | 1.48357 | + | 0.370450i | 0.0658878 | + | 0.0164523i | ||||
\(508\) | −1.40928 | + | 2.44094i | −0.0625265 | + | 0.108299i | ||||
\(509\) | −9.57465 | − | 16.5838i | −0.424389 | − | 0.735063i | 0.571974 | − | 0.820272i | \(-0.306178\pi\) |
−0.996363 | + | 0.0852085i | \(0.972844\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.9600 | − | 8.61794i | −0.706031 | − | 0.381235i | ||||
\(512\) | 15.8265i | 0.699439i | ||||||||
\(513\) | 6.21129 | + | 1.32709i | 0.274235 | + | 0.0585925i | ||||
\(514\) | −17.2238 | − | 9.94415i | −0.759708 | − | 0.438617i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −1.06011 | + | 1.09700i | −0.0466685 | + | 0.0482927i | ||||
\(517\) | 13.1082i | 0.576499i | ||||||||
\(518\) | 27.5171 | + | 14.8584i | 1.20903 | + | 0.652842i | ||||
\(519\) | −4.76960 | − | 16.6557i | −0.209362 | − | 0.731102i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1.94104 | − | 3.36199i | 0.0850387 | − | 0.147291i | −0.820369 | − | 0.571834i | \(-0.806232\pi\) |
0.905408 | + | 0.424543i | \(0.139565\pi\) | |||||||
\(522\) | −0.925607 | − | 27.0506i | −0.0405127 | − | 1.18397i | ||||
\(523\) | 1.83929 | − | 1.06192i | 0.0804266 | − | 0.0464343i | −0.459247 | − | 0.888308i | \(-0.651881\pi\) |
0.539674 | + | 0.841874i | \(0.318548\pi\) | |||||||
\(524\) | −2.78100 | −0.121488 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.8562 | −1.17099 | ||||||||
\(527\) | 9.84076 | − | 5.68157i | 0.428670 | − | 0.247493i | ||||
\(528\) | −4.05830 | + | 16.2526i | −0.176615 | + | 0.707305i | ||||
\(529\) | −10.3529 | + | 17.9317i | −0.450124 | + | 0.779638i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.52156 | − | 3.44486i | 0.239615 | − | 0.149494i | ||||
\(532\) | −0.0271092 | − | 0.951321i | −0.00117533 | − | 0.0412450i | ||||
\(533\) | 41.3138i | 1.78950i | ||||||||
\(534\) | 3.35793 | + | 3.24500i | 0.145312 | + | 0.140425i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 23.0856 | + | 13.3285i | 0.997148 | + | 0.575704i | ||||
\(537\) | −20.1891 | − | 19.5101i | −0.871224 | − | 0.841922i | ||||
\(538\) | − | 6.67354i | − | 0.287717i | ||||||
\(539\) | 13.4304 | + | 6.76522i | 0.578490 | + | 0.291398i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.59052 | + | 13.1472i | 0.326342 | + | 0.565241i | 0.981783 | − | 0.190005i | \(-0.0608506\pi\) |
−0.655441 | + | 0.755246i | \(0.727517\pi\) | |||||||
\(542\) | −17.8650 | + | 30.9431i | −0.767367 | + | 1.32912i | ||||
\(543\) | −8.14561 | + | 32.6214i | −0.349561 | + | 1.39992i | ||||
\(544\) | −5.11716 | + | 2.95439i | −0.219396 | + | 0.126669i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 7.31076 | + | 23.0295i | 0.312871 | + | 0.985570i | ||||
\(547\) | −11.7540 | −0.502566 | −0.251283 | − | 0.967914i | \(-0.580852\pi\) | ||||
−0.251283 | + | 0.967914i | \(0.580852\pi\) | |||||||
\(548\) | −2.72835 | + | 1.57521i | −0.116549 | + | 0.0672897i | ||||
\(549\) | −10.1902 | + | 0.348684i | −0.434907 | + | 0.0148815i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.64041 | + | 6.30537i | 0.155087 | + | 0.268618i | ||||
\(552\) | 1.86604 | + | 6.51629i | 0.0794239 | + | 0.277352i | ||||
\(553\) | −2.61264 | − | 4.24143i | −0.111101 | − | 0.180364i | ||||
\(554\) | − | 19.4362i | − | 0.825763i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.04780 | − | 0.604946i | −0.0444365 | − | 0.0256554i | ||||
\(557\) | 8.14298 | + | 4.70135i | 0.345029 | + | 0.199203i | 0.662494 | − | 0.749068i | \(-0.269498\pi\) |
−0.317465 | + | 0.948270i | \(0.602831\pi\) | |||||||
\(558\) | −12.7401 | − | 6.78553i | −0.539333 | − | 0.287254i | ||||
\(559\) | 10.4183i | 0.440649i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.7962 | − | 3.66440i | 0.540258 | − | 0.154711i | ||||
\(562\) | 16.0858 | + | 27.8614i | 0.678538 | + | 1.17526i | ||||
\(563\) | −9.76331 | + | 16.9106i | −0.411475 | + | 0.712695i | −0.995051 | − | 0.0993632i | \(-0.968319\pi\) |
0.583577 | + | 0.812058i | \(0.301653\pi\) | |||||||
\(564\) | 3.01743 | + | 0.753455i | 0.127057 | + | 0.0317262i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −9.92744 | −0.417281 | ||||||||
\(567\) | 13.8451 | + | 19.3730i | 0.581439 | + | 0.813590i | ||||
\(568\) | 26.8615 | 1.12708 | ||||||||
\(569\) | 11.1702 | − | 6.44911i | 0.468279 | − | 0.270361i | −0.247240 | − | 0.968954i | \(-0.579524\pi\) |
0.715519 | + | 0.698593i | \(0.246190\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.8321 | − | 36.0823i | 0.871796 | − | 1.51000i | 0.0116595 | − | 0.999932i | \(-0.496289\pi\) |
0.860137 | − | 0.510063i | \(-0.170378\pi\) | |||||||
\(572\) | −1.10034 | − | 1.90584i | −0.0460075 | − | 0.0796874i | ||||
\(573\) | 21.1533 | − | 6.05758i | 0.883692 | − | 0.253059i | ||||
\(574\) | 40.4965 | − | 24.9451i | 1.69029 | − | 1.04119i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −17.2162 | − | 9.16955i | −0.717343 | − | 0.382065i | ||||
\(577\) | −6.48634 | − | 3.74489i | −0.270030 | − | 0.155902i | 0.358871 | − | 0.933387i | \(-0.383162\pi\) |
−0.628901 | + | 0.777485i | \(0.716495\pi\) | |||||||
\(578\) | −5.51432 | − | 3.18369i | −0.229365 | − | 0.132424i | ||||
\(579\) | −25.0588 | + | 25.9309i | −1.04141 | + | 1.07765i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −24.0794 | + | 0.686177i | −0.998983 | + | 0.0284674i | ||||
\(582\) | 0.957590 | + | 3.34395i | 0.0396934 | + | 0.138611i | ||||
\(583\) | 12.0584 | + | 20.8858i | 0.499409 | + | 0.865003i | ||||
\(584\) | −8.85614 | + | 15.3393i | −0.366470 | + | 0.634744i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.87892 | − | 2.81685i | 0.201546 | − | 0.116363i | ||||
\(587\) | 22.1920 | 0.915961 | 0.457981 | − | 0.888962i | \(-0.348573\pi\) | ||||
0.457981 | + | 0.888962i | \(0.348573\pi\) | |||||||
\(588\) | 2.32928 | − | 2.70274i | 0.0960580 | − | 0.111459i | ||||
\(589\) | 3.88284 | 0.159990 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.937685 | − | 3.75523i | 0.0385712 | − | 0.154470i | ||||
\(592\) | 17.5655 | − | 30.4244i | 0.721938 | − | 1.25043i | ||||
\(593\) | 3.15687 | + | 5.46787i | 0.129637 | + | 0.224538i | 0.923536 | − | 0.383512i | \(-0.125285\pi\) |
−0.793899 | + | 0.608050i | \(0.791952\pi\) | |||||||
\(594\) | −12.5534 | − | 11.3271i | −0.515072 | − | 0.464757i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 0.748572i | − | 0.0306627i | ||||||
\(597\) | 31.0406 | + | 29.9966i | 1.27041 | + | 1.22768i | ||||
\(598\) | −6.91636 | − | 3.99316i | −0.282831 | − | 0.163293i | ||||
\(599\) | 17.8962 | + | 10.3324i | 0.731219 | + | 0.422170i | 0.818868 | − | 0.573982i | \(-0.194602\pi\) |
−0.0876487 | + | 0.996151i | \(0.527935\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.5956i | 0.513785i | 0.966440 | + | 0.256892i | \(0.0826986\pi\) | ||||
−0.966440 | + | 0.256892i | \(0.917301\pi\) | |||||||
\(602\) | 10.2122 | − | 6.29053i | 0.416219 | − | 0.256383i | ||||
\(603\) | −26.2611 | + | 16.3841i | −1.06943 | + | 0.667213i | ||||
\(604\) | −0.826798 | − | 1.43206i | −0.0336419 | − | 0.0582695i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −8.52955 | + | 34.1590i | −0.346489 | + | 1.38762i | ||||
\(607\) | −36.9590 | + | 21.3383i | −1.50012 | + | 0.866095i | −0.500121 | + | 0.865956i | \(0.666711\pi\) |
−1.00000 | 0.000139312i | \(0.999956\pi\) | ||||||||
\(608\) | −2.01906 | −0.0818838 | ||||||||
\(609\) | −5.85573 | + | 26.6604i | −0.237286 | + | 1.08033i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.3942 | − | 10.6199i | 0.744148 | − | 0.429634i | ||||
\(612\) | −0.107999 | − | 3.15624i | −0.00436559 | − | 0.127583i | ||||
\(613\) | −2.66142 | + | 4.60972i | −0.107494 | + | 0.186185i | −0.914754 | − | 0.404011i | \(-0.867616\pi\) |
0.807261 | + | 0.590195i | \(0.200949\pi\) | |||||||
\(614\) | 8.48998 | + | 14.7051i | 0.342628 | + | 0.593448i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.97728 | − | 12.9216i | 0.281123 | − | 0.520626i | ||||
\(617\) | − | 30.1002i | − | 1.21179i | −0.795545 | − | 0.605895i | \(-0.792815\pi\) | ||
0.795545 | − | 0.605895i | \(-0.207185\pi\) | |||||||
\(618\) | −10.5500 | + | 10.9172i | −0.424385 | + | 0.439154i | ||||
\(619\) | −11.0265 | − | 6.36613i | −0.443191 | − | 0.255876i | 0.261759 | − | 0.965133i | \(-0.415697\pi\) |
−0.704950 | + | 0.709257i | \(0.749031\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −7.69683 | − | 1.64449i | −0.308863 | − | 0.0659911i | ||||
\(622\) | − | 28.6594i | − | 1.14914i | ||||||
\(623\) | −2.46983 | − | 4.00959i | −0.0989518 | − | 0.160641i | ||||
\(624\) | 26.0944 | − | 7.47254i | 1.04461 | − | 0.299141i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 12.4057 | − | 21.4872i | 0.495830 | − | 0.858802i | ||||
\(627\) | 4.41281 | + | 1.10188i | 0.176230 | + | 0.0440049i | ||||
\(628\) | −3.54856 | + | 2.04876i | −0.141603 | + | 0.0817545i | ||||
\(629\) | −27.9145 | −1.11303 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.4114 | −0.693138 | −0.346569 | − | 0.938024i | \(-0.612653\pi\) | ||||
−0.346569 | + | 0.938024i | \(0.612653\pi\) | |||||||
\(632\) | −4.21284 | + | 2.43229i | −0.167578 | + | 0.0967511i | ||||
\(633\) | −11.1165 | − | 2.77581i | −0.441843 | − | 0.110329i | ||||
\(634\) | 7.66184 | − | 13.2707i | 0.304291 | − | 0.527047i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 5.50089 | − | 1.57526i | 0.218125 | − | 0.0624633i | ||||
\(637\) | −1.38761 | − | 24.3273i | −0.0549789 | − | 0.963881i | ||||
\(638\) | − | 19.3823i | − | 0.767353i | ||||||
\(639\) | −14.6623 | + | 27.5292i | −0.580033 | + | 1.08904i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.13893 | − | 0.657564i | −0.0449852 | − | 0.0259722i | 0.477339 | − | 0.878719i | \(-0.341601\pi\) |
−0.522324 | + | 0.852747i | \(0.674935\pi\) | |||||||
\(642\) | −7.08543 | + | 7.33202i | −0.279640 | + | 0.289372i | ||||
\(643\) | − | 39.2223i | − | 1.54678i | −0.633932 | − | 0.773389i | \(-0.718560\pi\) | ||
0.633932 | − | 0.773389i | \(-0.281440\pi\) | |||||||
\(644\) | 0.0335929 | + | 1.17885i | 0.00132375 | + | 0.0464531i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.31152 | + | 5.73572i | 0.130290 | + | 0.225669i | ||||
\(647\) | 3.11558 | − | 5.39634i | 0.122486 | − | 0.212152i | −0.798261 | − | 0.602311i | \(-0.794247\pi\) |
0.920747 | + | 0.390159i | \(0.127580\pi\) | |||||||
\(648\) | 19.2956 | − | 12.9757i | 0.758003 | − | 0.509732i | ||||
\(649\) | 4.03604 | − | 2.33021i | 0.158428 | − | 0.0914687i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.7516 | + | 9.81341i | 0.421390 | + | 0.384618i | ||||
\(652\) | −1.19793 | −0.0469144 | ||||||||
\(653\) | −16.3348 | + | 9.43091i | −0.639230 | + | 0.369060i | −0.784318 | − | 0.620359i | \(-0.786987\pi\) |
0.145088 | + | 0.989419i | \(0.453654\pi\) | |||||||
\(654\) | −3.30990 | + | 13.2554i | −0.129427 | + | 0.518329i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −26.7157 | − | 46.2730i | −1.04307 | − | 1.80666i | ||||
\(657\) | −10.8864 | − | 17.4492i | −0.424721 | − | 0.680759i | ||||
\(658\) | −21.5160 | − | 11.6180i | −0.838783 | − | 0.452918i | ||||
\(659\) | − | 41.6170i | − | 1.62117i | −0.585622 | − | 0.810584i | \(-0.699150\pi\) | ||
0.585622 | − | 0.810584i | \(-0.300850\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.27232 | + | 1.88927i | 0.127278 | + | 0.0734842i | 0.562287 | − | 0.826942i | \(-0.309921\pi\) |
−0.435009 | + | 0.900426i | \(0.643255\pi\) | |||||||
\(662\) | 25.2848 | + | 14.5982i | 0.982721 | + | 0.567374i | ||||
\(663\) | −15.5092 | − | 14.9876i | −0.602327 | − | 0.582069i | ||||
\(664\) | 23.5236i | 0.912894i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 18.7696 | + | 30.0846i | 0.727307 | + | 1.16576i | ||||
\(667\) | −4.51108 | − | 7.81342i | −0.174670 | − | 0.302537i | ||||
\(668\) | −2.05588 | + | 3.56088i | −0.0795442 | + | 0.137775i | ||||
\(669\) | 1.80864 | − | 7.24321i | 0.0699259 | − | 0.280039i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.30148 | −0.281871 | ||||||||
\(672\) | −5.59081 | − | 5.10294i | −0.215670 | − | 0.196850i | ||||
\(673\) | −31.2573 | −1.20488 | −0.602441 | − | 0.798163i | \(-0.705805\pi\) | ||||
−0.602441 | + | 0.798163i | \(0.705805\pi\) | |||||||
\(674\) | 31.0075 | − | 17.9022i | 1.19436 | − | 0.689565i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.129901 | − | 0.224996i | 0.00499621 | − | 0.00865369i | ||||
\(677\) | −4.36895 | − | 7.56724i | −0.167912 | − | 0.290832i | 0.769773 | − | 0.638317i | \(-0.220369\pi\) |
−0.937686 | + | 0.347485i | \(0.887036\pi\) | |||||||
\(678\) | 6.76199 | + | 23.6132i | 0.259693 | + | 0.906858i | ||||
\(679\) | −0.0999201 | − | 3.50641i | −0.00383458 | − | 0.134564i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.3737 | − | 13.8391i | 0.512481 | − | 0.530317i | ||||
\(682\) | −8.95171 | − | 5.16827i | −0.342779 | − | 0.197903i | ||||
\(683\) | −18.9393 | − | 10.9346i | −0.724691 | − | 0.418401i | 0.0917858 | − | 0.995779i | \(-0.470743\pi\) |
−0.816477 | + | 0.577378i | \(0.804076\pi\) | |||||||
\(684\) | 0.507292 | − | 0.952463i | 0.0193968 | − | 0.0364183i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −23.0081 | + | 16.0488i | −0.878454 | + | 0.612746i | ||||
\(687\) | −16.6079 | + | 4.75594i | −0.633632 | + | 0.181450i | ||||
\(688\) | −6.73705 | − | 11.6689i | −0.256847 | − | 0.444873i | ||||
\(689\) | 19.5387 | − | 33.8421i | 0.744366 | − | 1.28928i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.5167 | − | 11.2680i | 0.742449 | − | 0.428653i | −0.0805102 | − | 0.996754i | \(-0.525655\pi\) |
0.822959 | + | 0.568101i | \(0.192322\pi\) | |||||||
\(692\) | −2.94359 | −0.111898 | ||||||||
\(693\) | 9.43425 | + | 14.2040i | 0.358377 | + | 0.539564i | ||||
\(694\) | −24.0944 | −0.914612 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 25.8610 | + | 6.45751i | 0.980257 | + | 0.244771i | ||||
\(697\) | −21.2279 | + | 36.7678i | −0.804063 | + | 1.39268i | ||||
\(698\) | 0.0145711 | + | 0.0252378i | 0.000551523 | + | 0.000955266i | ||||
\(699\) | −34.3493 | + | 9.83646i | −1.29921 | + | 0.372049i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 35.5019i | 1.34089i | 0.741960 | + | 0.670444i | \(0.233896\pi\) | ||||
−0.741960 | + | 0.670444i | \(0.766104\pi\) | |||||||
\(702\) | −5.72442 | + | 26.7924i | −0.216054 | + | 1.01122i | ||||
\(703\) | −8.26062 | − | 4.76927i | −0.311555 | − | 0.179877i | ||||
\(704\) | −12.0968 | − | 6.98408i | −0.455915 | − | 0.263223i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 38.5033i | 1.44909i | ||||||||
\(707\) | 16.8700 | − | 31.2425i | 0.634463 | − | 1.17500i | ||||
\(708\) | −0.304409 | − | 1.06301i | −0.0114404 | − | 0.0399503i | ||||
\(709\) | 2.03390 | + | 3.52282i | 0.0763847 | + | 0.132302i | 0.901688 | − | 0.432388i | \(-0.142329\pi\) |
−0.825303 | + | 0.564690i | \(0.808996\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.193166 | − | 5.64522i | −0.00724428 | − | 0.211712i | ||||
\(712\) | −3.98257 | + | 2.29934i | −0.149253 | + | 0.0861712i | ||||
\(713\) | −4.81149 | −0.180192 | ||||||||
\(714\) | −5.32670 | + | 24.2518i | −0.199347 | + | 0.907599i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.13106 | + | 2.38507i | −0.154385 | + | 0.0891342i | ||||
\(717\) | −1.20576 | + | 4.82883i | −0.0450301 | + | 0.180336i | ||||
\(718\) | 18.3118 | − | 31.7169i | 0.683389 | − | 1.18366i | ||||
\(719\) | 15.2703 | + | 26.4489i | 0.569484 | + | 0.986376i | 0.996617 | + | 0.0821868i | \(0.0261904\pi\) |
−0.427133 | + | 0.904189i | \(0.640476\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0359 | − | 8.02984i | 0.485481 | − | 0.299047i | ||||
\(722\) | − | 26.5159i | − | 0.986821i | ||||||
\(723\) | 32.4732 | + | 31.3810i | 1.20769 | + | 1.16707i | ||||
\(724\) | 4.94730 | + | 2.85632i | 0.183865 | + | 0.106154i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 12.0453 | + | 11.6402i | 0.447043 | + | 0.432008i | ||||
\(727\) | − | 23.4181i | − | 0.868528i | −0.900786 | − | 0.434264i | \(-0.857008\pi\) | ||
0.900786 | − | 0.434264i | \(-0.142992\pi\) | |||||||
\(728\) | −23.7850 | + | 0.677789i | −0.881533 | + | 0.0251205i | ||||
\(729\) | 2.76568 | + | 26.8580i | 0.102433 | + | 0.994740i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.35315 | + | 9.27192i | −0.197993 | + | 0.342934i | ||||
\(732\) | −0.419686 | + | 1.68075i | −0.0155120 | + | 0.0621224i | ||||
\(733\) | −14.6277 | + | 8.44533i | −0.540288 | + | 0.311935i | −0.745196 | − | 0.666846i | \(-0.767644\pi\) |
0.204908 | + | 0.978781i | \(0.434311\pi\) | |||||||
\(734\) | −13.7423 | −0.507239 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.50196 | 0.0922235 | ||||||||
\(737\) | −19.1958 | + | 11.0827i | −0.707087 | + | 0.408237i | ||||
\(738\) | 53.8996 | − | 1.84431i | 1.98407 | − | 0.0678901i | ||||
\(739\) | 13.8321 | − | 23.9579i | 0.508822 | − | 0.881306i | −0.491126 | − | 0.871089i | \(-0.663414\pi\) |
0.999948 | − | 0.0102170i | \(-0.00325222\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.02890 | − | 7.08499i | −0.0745333 | − | 0.260274i | ||||
\(742\) | −44.9699 | + | 1.28148i | −1.65090 | + | 0.0470446i | ||||
\(743\) | − | 40.1701i | − | 1.47370i | −0.676056 | − | 0.736850i | \(-0.736312\pi\) | ||
0.676056 | − | 0.736850i | \(-0.263688\pi\) | |||||||
\(744\) | 9.87819 | − | 10.2220i | 0.362152 | − | 0.374756i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −20.4158 | − | 11.7870i | −0.747474 | − | 0.431554i | ||||
\(747\) | −24.1083 | − | 12.8404i | −0.882078 | − | 0.469804i | ||||
\(748\) | − | 2.26151i | − | 0.0826888i | ||||||
\(749\) | 8.75491 | − | 5.39286i | 0.319898 | − | 0.197051i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.8188 | + | 42.9874i | 0.905650 | + | 1.56863i | 0.820042 | + | 0.572303i | \(0.193950\pi\) |
0.0856082 | + | 0.996329i | \(0.472717\pi\) | |||||||
\(752\) | −13.7347 | + | 23.7893i | −0.500854 | + | 0.867505i | ||||
\(753\) | 0.270754 | + | 0.0676076i | 0.00986683 | + | 0.00246376i | ||||
\(754\) | −27.1983 | + | 15.7029i | −0.990503 | + | 0.571867i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.81193 | − | 1.35526i | 0.138639 | − | 0.0492905i | ||||
\(757\) | 47.7116 | 1.73411 | 0.867054 | − | 0.498214i | \(-0.166011\pi\) | ||||
0.867054 | + | 0.498214i | \(0.166011\pi\) | |||||||
\(758\) | 44.7288 | − | 25.8242i | 1.62462 | − | 0.937977i | ||||
\(759\) | −5.46821 | − | 1.36542i | −0.198483 | − | 0.0495615i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.91711 | + | 17.1769i | 0.359495 | + | 0.622663i | 0.987876 | − | 0.155242i | \(-0.0496157\pi\) |
−0.628382 | + | 0.777905i | \(0.716282\pi\) | |||||||
\(762\) | 24.1565 | − | 6.91759i | 0.875098 | − | 0.250598i | ||||
\(763\) | 6.54643 | − | 12.1237i | 0.236997 | − | 0.438907i | ||||
\(764\) | − | 3.73847i | − | 0.135253i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.8740 | + | 8.01017i | 0.501289 | + | 0.289419i | ||||
\(767\) | −6.53974 | − | 3.77572i | −0.236136 | − | 0.136333i | ||||
\(768\) | −8.32583 | + | 8.61559i | −0.300433 | + | 0.310888i | ||||
\(769\) | − | 10.6337i | − | 0.383461i | −0.981448 | − | 0.191731i | \(-0.938590\pi\) | ||
0.981448 | − | 0.191731i | \(-0.0614100\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.26096 | + | 21.8635i | 0.225483 | + | 0.787396i | ||||
\(772\) | 3.06339 | + | 5.30595i | 0.110254 | + | 0.190965i | ||||
\(773\) | 7.16138 | − | 12.4039i | 0.257577 | − | 0.446136i | −0.708015 | − | 0.706197i | \(-0.750409\pi\) |
0.965592 | + | 0.260061i | \(0.0837426\pi\) | |||||||
\(774\) | 13.5922 | − | 0.465090i | 0.488560 | − | 0.0167173i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.42548 | −0.122967 | ||||||||
\(777\) | −10.8200 | − | 34.0839i | −0.388166 | − | 1.22275i | ||||
\(778\) | 25.6508 | 0.919626 | ||||||||
\(779\) | −12.5637 | + | 7.25368i | −0.450142 | + | 0.259890i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.1677 | + | 19.3431i | −0.399613 | + | 0.692149i | ||||
\(782\) | −4.10353 | − | 7.10752i | −0.146742 | − | 0.254165i | ||||
\(783\) | −20.7342 | + | 22.9789i | −0.740980 | + | 0.821200i | ||||
\(784\) | 17.2855 | + | 26.3501i | 0.617338 | + | 0.941075i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 17.8283 | + | 17.2287i | 0.635914 | + | 0.614527i | ||||
\(787\) | 31.9859 | + | 18.4671i | 1.14017 | + | 0.658280i | 0.946474 | − | 0.322781i | \(-0.104618\pi\) |
0.193700 | + | 0.981061i | \(0.437951\pi\) | |||||||
\(788\) | −0.569511 | − | 0.328807i | −0.0202880 | − | 0.0117133i | ||||
\(789\) | 22.0835 | + | 21.3408i | 0.786195 | + | 0.759753i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.705583 | − | 24.7604i | −0.0250876 | − | 0.880378i | ||||
\(792\) | 14.1273 | − | 8.81391i | 0.501991 | − | 0.313189i | ||||
\(793\) | 5.91543 | + | 10.2458i | 0.210063 | + | 0.363840i | ||||
\(794\) | −0.308865 | + | 0.534970i | −0.0109612 | + | 0.0189854i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.35148 | − | 3.66703i | 0.225122 | − | 0.129974i | ||||
\(797\) | −37.4862 | −1.32783 | −0.663914 | − | 0.747809i | \(-0.731106\pi\) | ||||
−0.663914 | + | 0.747809i | \(0.731106\pi\) | |||||||
\(798\) | −5.71978 | + | 6.26663i | −0.202478 | + | 0.221836i | ||||
\(799\) | 21.8268 | 0.772177 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.182607 | − | 5.33665i | −0.00645210 | − | 0.188561i | ||||
\(802\) | 21.1895 | − | 36.7012i | 0.748226 | − | 1.29597i | ||||
\(803\) | −7.36392 | − | 12.7547i | −0.259867 | − | 0.450103i | ||||
\(804\) | 1.44780 | + | 5.05578i | 0.0510599 | + | 0.178303i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 16.7487i | 0.589947i | ||||||||
\(807\) | −5.30301 | + | 5.48757i | −0.186675 | + | 0.193172i | ||||
\(808\) | −30.0274 | − | 17.3363i | −1.05636 | − | 0.609889i | ||||
\(809\) | 22.1518 | + | 12.7893i | 0.778814 | + | 0.449649i | 0.836010 | − | 0.548714i | \(-0.184883\pi\) |
−0.0571956 | + | 0.998363i | \(0.518216\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 7.28791i | − | 0.255913i | −0.991780 | − | 0.127957i | \(-0.959158\pi\) | ||
0.991780 | − | 0.127957i | \(-0.0408418\pi\) | |||||||
\(812\) | 4.08074 | + | 2.20348i | 0.143206 | + | 0.0773269i | ||||
\(813\) | 39.2786 | − | 11.2480i | 1.37756 | − | 0.394485i | ||||
\(814\) | 12.6963 | + | 21.9907i | 0.445006 | + | 0.770773i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 27.0626 | + | 6.75756i | 0.947380 | + | 0.236562i | ||||
\(817\) | −3.16826 | + | 1.82920i | −0.110844 | + | 0.0639955i | ||||
\(818\) | 3.96956 | 0.138792 | ||||||||
\(819\) | 12.2884 | − | 24.7462i | 0.429392 | − | 0.864703i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.00729231 | + | 0.00421022i | −0.000254504 | + | 0.000146938i | −0.500127 | − | 0.865952i | \(-0.666713\pi\) |
0.499873 | + | 0.866099i | \(0.333380\pi\) | |||||||
\(822\) | 27.2494 | + | 6.80421i | 0.950433 | + | 0.237324i | ||||
\(823\) | 15.6119 | − | 27.0406i | 0.544198 | − | 0.942578i | −0.454459 | − | 0.890767i | \(-0.650168\pi\) |
0.998657 | − | 0.0518103i | \(-0.0164991\pi\) | |||||||
\(824\) | −7.47553 | − | 12.9480i | −0.260422 | − | 0.451065i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.247637 | + | 8.69011i | 0.00861639 | + | 0.302368i | ||||
\(827\) | 38.3189i | 1.33248i | 0.745738 | + | 0.666239i | \(0.232097\pi\) | ||||
−0.745738 | + | 0.666239i | \(0.767903\pi\) | |||||||
\(828\) | −0.628620 | + | 1.18026i | −0.0218461 | + | 0.0410169i | ||||
\(829\) | 1.94142 | + | 1.12088i | 0.0674283 | + | 0.0389298i | 0.533335 | − | 0.845904i | \(-0.320938\pi\) |
−0.465907 | + | 0.884834i | \(0.654272\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −15.4446 | + | 15.9821i | −0.535768 | + | 0.554414i | ||||
\(832\) | 22.6331i | 0.784663i | ||||||||
\(833\) | 11.2649 | − | 22.3633i | 0.390306 | − | 0.774843i | ||||
\(834\) | 2.96944 | + | 10.3694i | 0.102823 | + | 0.359064i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.386384 | − | 0.669237i | 0.0133634 | − | 0.0231460i | ||||
\(837\) | 5.08406 | + | 15.7034i | 0.175731 | + | 0.542789i | ||||
\(838\) | −11.0142 | + | 6.35903i | −0.380478 | + | 0.219669i | ||||
\(839\) | −20.6544 | −0.713069 | −0.356535 | − | 0.934282i | \(-0.616042\pi\) | ||||
−0.356535 | + | 0.934282i | \(0.616042\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.47924 | −0.223422 | ||||||||
\(842\) | 10.2967 | − | 5.94479i | 0.354847 | − | 0.204871i | ||||
\(843\) | 8.91243 | − | 35.6924i | 0.306961 | − | 1.22931i | ||||
\(844\) | −0.973362 | + | 1.68591i | −0.0335045 | + | 0.0580315i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −14.6762 | − | 23.5236i | −0.504579 | − | 0.808759i | ||||
\(847\) | −8.85959 | − | 14.3829i | −0.304419 | − | 0.494202i | ||||
\(848\) | 50.5391i | 1.73552i | ||||||||
\(849\) | 8.16322 | + | 7.88867i | 0.280161 | + | 0.270738i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.2363 | + | 5.90993i | 0.350896 | + | 0.202590i | ||||
\(852\) | 3.81073 | + | 3.68257i | 0.130553 | + | 0.126163i | ||||
\(853\) | 7.06831i | 0.242014i | 0.992652 | + | 0.121007i | \(0.0386124\pi\) | ||||
−0.992652 | + | 0.121007i | \(0.961388\pi\) | |||||||
\(854\) | 6.47141 | − | 11.9848i | 0.221447 | − | 0.410110i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.02058 | − | 8.69590i | −0.171600 | − | 0.297220i | ||||
\(857\) | 8.41661 | − | 14.5780i | 0.287506 | − | 0.497975i | −0.685708 | − | 0.727877i | \(-0.740507\pi\) |
0.973214 | + | 0.229902i | \(0.0738406\pi\) | |||||||
\(858\) | −4.75298 | + | 19.0347i | −0.162264 | + | 0.649833i | ||||
\(859\) | 30.4698 | − | 17.5918i | 1.03962 | − | 0.600223i | 0.119893 | − | 0.992787i | \(-0.461745\pi\) |
0.919725 | + | 0.392563i | \(0.128412\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −53.1220 | − | 11.6678i | −1.81039 | − | 0.397638i | ||||
\(862\) | 18.5665 | 0.632376 | ||||||||
\(863\) | −32.8880 | + | 18.9879i | −1.11952 | + | 0.646356i | −0.941279 | − | 0.337630i | \(-0.890375\pi\) |
−0.178243 | + | 0.983986i | \(0.557041\pi\) | |||||||
\(864\) | −2.64369 | − | 8.16571i | −0.0899402 | − | 0.277803i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.89242 | + | 6.74187i | 0.132270 | + | 0.229098i | ||||
\(867\) | 2.00449 | + | 6.99977i | 0.0680761 | + | 0.237725i | ||||
\(868\) | 2.10580 | − | 1.29713i | 0.0714755 | − | 0.0440275i | ||||
\(869\) | − | 4.04491i | − | 0.137214i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 31.1037 | + | 17.9577i | 1.05391 | + | 0.608474i | ||||
\(872\) | −11.6521 | − | 6.72737i | −0.394591 | − | 0.227817i | ||||
\(873\) | 1.86979 | − | 3.51062i | 0.0632829 | − | 0.118817i | ||||
\(874\) | − | 2.80440i | − | 0.0948601i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.35932 | + | 0.961992i | −0.113501 | + | 0.0325027i | ||||
\(877\) | 5.72481 | + | 9.91566i | 0.193313 | + | 0.334828i | 0.946346 | − | 0.323155i | \(-0.104743\pi\) |
−0.753033 | + | 0.657983i | \(0.771410\pi\) | |||||||
\(878\) | −12.6471 | + | 21.9054i | −0.426819 | + | 0.739272i | ||||
\(879\) | −6.25024 | − | 1.56069i | −0.210815 | − | 0.0526408i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −23.6698 | −0.797455 | −0.398728 | − | 0.917069i | \(-0.630548\pi\) | ||||
−0.398728 | + | 0.917069i | \(0.630548\pi\) | |||||||
\(882\) | −31.6763 | + | 2.89633i | −1.06660 | + | 0.0975245i | ||||
\(883\) | 16.8355 | 0.566560 | 0.283280 | − | 0.959037i | \(-0.408577\pi\) | ||||
0.283280 | + | 0.959037i | \(0.408577\pi\) | |||||||
\(884\) | −3.17346 | + | 1.83220i | −0.106735 | + | 0.0616236i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.191017 | + | 0.330852i | −0.00641735 | + | 0.0111152i | ||||
\(887\) | 26.2917 | + | 45.5385i | 0.882789 | + | 1.52903i | 0.848227 | + | 0.529632i | \(0.177670\pi\) |
0.0345613 | + | 0.999403i | \(0.488997\pi\) | |||||||
\(888\) | −33.5712 | + | 9.61362i | −1.12657 | + | 0.322612i | ||||
\(889\) | −25.3301 | + | 0.721818i | −0.849546 | + | 0.0242090i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.32163 | + | 19.2895i | 0.0442761 | + | 0.646222i | ||||
\(892\) | −1.09849 | − | 0.634214i | −0.0367802 | − | 0.0212350i | ||||
\(893\) | 6.45910 | + | 3.72917i | 0.216146 | + | 0.124792i | ||||
\(894\) | −4.63752 | + | 4.79891i | −0.155102 | + | 0.160500i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 29.6273 | − | 18.2498i | 0.989778 | − | 0.609685i | ||||
\(897\) | 2.51414 | + | 8.77950i | 0.0839448 | + | 0.293139i | ||||
\(898\) | −21.8652 | − | 37.8717i | −0.729653 | − | 1.26380i | ||||
\(899\) | −9.46050 | + | 16.3861i | −0.315525 | + | 0.546506i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.7774 | − | 20.0788i | 1.15860 | − | 0.668921i | ||||
\(902\) | 38.6201 | 1.28591 | ||||||||
\(903\) | −13.3960 | − | 2.94233i | −0.445792 | − | 0.0979146i | ||||
\(904\) | −24.1889 | −0.804510 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −3.57140 | + | 14.3027i | −0.118652 | + | 0.475176i | ||||
\(907\) | 25.3858 | − | 43.9694i | 0.842920 | − | 1.45998i | −0.0444946 | − | 0.999010i | \(-0.514168\pi\) |
0.887415 | − | 0.460971i | \(-0.152499\pi\) | |||||||
\(908\) | −1.63491 | − | 2.83174i | −0.0542563 | − | 0.0939747i | ||||
\(909\) | 34.1577 | − | 21.3107i | 1.13294 | − | 0.706832i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.1165i | 0.533963i | 0.963702 | + | 0.266981i | \(0.0860262\pi\) | ||||
−0.963702 | + | 0.266981i | \(0.913974\pi\) | |||||||
\(912\) | 6.85396 | + | 6.62345i | 0.226957 | + | 0.219324i | ||||
\(913\) | −16.9394 | − | 9.77999i | −0.560614 | − | 0.323671i | ||||
\(914\) | −31.5787 | − | 18.2319i | −1.04453 | − | 0.603059i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.93515i | 0.0969802i | ||||||||
\(917\) | −13.1131 | − | 21.2882i | −0.433033 | − | 0.702997i | ||||
\(918\) | −18.8610 | + | 20.9029i | −0.622506 | + | 0.689900i | ||||
\(919\) | 19.8721 | + | 34.4194i | 0.655519 | + | 1.13539i | 0.981763 | + | 0.190106i | \(0.0608833\pi\) |
−0.326245 | + | 0.945285i | \(0.605783\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.70392 | − | 18.8382i | 0.155000 | − | 0.620740i | ||||
\(922\) | −52.3010 | + | 30.1960i | −1.72244 | + | 0.994452i | ||||
\(923\) | 36.1909 | 1.19124 | ||||||||
\(924\) | 2.76132 | − | 0.876587i | 0.0908407 | − | 0.0288376i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 39.1451 | − | 22.6004i | 1.28639 | − | 0.742696i | ||||
\(927\) | 17.3503 | − | 0.593686i | 0.569860 | − | 0.0194992i | ||||
\(928\) | 4.91942 | − | 8.52069i | 0.161488 | − | 0.279705i | ||||
\(929\) | −18.2593 | − | 31.6261i | −0.599069 | − | 1.03762i | −0.992959 | − | 0.118461i | \(-0.962204\pi\) |
0.393889 | − | 0.919158i | \(-0.371129\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.15440 | − | 4.69323i | 0.234476 | − | 0.153814i | ||||
\(932\) | 6.07063i | 0.198850i | ||||||||
\(933\) | −22.7737 | + | 23.5663i | −0.745578 | + | 0.771526i | ||||
\(934\) | −5.48530 | − | 3.16694i | −0.179484 | − | 0.103625i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −23.8136 | − | 12.6834i | −0.778372 | − | 0.414569i | ||||
\(937\) | − | 7.60980i | − | 0.248601i | −0.992245 | − | 0.124301i | \(-0.960331\pi\) | ||
0.992245 | − | 0.124301i | \(-0.0396687\pi\) | |||||||
\(938\) | −1.17779 | − | 41.3311i | −0.0384561 | − | 1.34951i | ||||
\(939\) | −27.2755 | + | 7.81075i | −0.890102 | + | 0.254894i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 11.0121 | − | 19.0735i | 0.358985 | − | 0.621780i | −0.628807 | − | 0.777562i | \(-0.716456\pi\) |
0.987791 | + | 0.155782i | \(0.0497897\pi\) | |||||||
\(942\) | 35.4414 | + | 8.84974i | 1.15474 | + | 0.288340i | ||||
\(943\) | 15.5686 | − | 8.98853i | 0.506983 | − | 0.292707i | ||||
\(944\) | 9.76632 | 0.317867 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.73904 | 0.316644 | ||||||||
\(947\) | −42.6589 | + | 24.6291i | −1.38623 | + | 0.800339i | −0.992888 | − | 0.119053i | \(-0.962014\pi\) |
−0.393341 | + | 0.919393i | \(0.628681\pi\) | |||||||
\(948\) | −0.931111 | − | 0.232499i | −0.0302411 | − | 0.00755123i | ||||
\(949\) | −11.9320 | + | 20.6669i | −0.387330 | + | 0.670875i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −16.8456 | + | 4.82399i | −0.546255 | + | 0.156429i | ||||
\(952\) | −21.5160 | − | 11.6180i | −0.697339 | − | 0.376542i | ||||
\(953\) | 10.2538i | 0.332154i | 0.986113 | + | 0.166077i | \(0.0531101\pi\) | ||||
−0.986113 | + | 0.166077i | \(0.946890\pi\) | |||||||
\(954\) | −45.0239 | − | 23.9802i | −1.45770 | − | 0.776388i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0.732331 | + | 0.422811i | 0.0236853 | + | 0.0136747i | ||||
\(957\) | −15.4018 | + | 15.9379i | −0.497870 | + | 0.515198i | ||||
\(958\) | 42.3131i | 1.36708i | ||||||||
\(959\) | −24.9229 | − | 13.4576i | −0.804801 | − | 0.434569i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.4547 | − | 18.1081i | −0.337250 | − | 0.584134i | ||||
\(962\) | 20.5723 | − | 35.6323i | 0.663278 | − | 1.14883i | ||||
\(963\) | 11.6525 | − | 0.398721i | 0.375498 | − | 0.0128486i | ||||
\(964\) | 6.64460 | − | 3.83626i | 0.214008 | − | 0.123558i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 7.08777 | − | 7.76541i | 0.228045 | − | 0.249848i | ||||
\(967\) | 4.62632 | 0.148772 | 0.0743862 | − | 0.997230i | \(-0.476300\pi\) | ||||
0.0743862 | + | 0.997230i | \(0.476300\pi\) | |||||||
\(968\) | −14.2859 | + | 8.24799i | −0.459168 | + | 0.265101i | ||||
\(969\) | 1.83477 | − | 7.34786i | 0.0589412 | − | 0.236047i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 12.6443 | + | 21.9006i | 0.405775 | + | 0.702822i | 0.994411 | − | 0.105575i | \(-0.0336684\pi\) |
−0.588637 | + | 0.808398i | \(0.700335\pi\) | |||||||
\(972\) | 4.51628 | + | 0.804521i | 0.144860 | + | 0.0258050i | ||||
\(973\) | −0.309848 | − | 10.8732i | −0.00993326 | − | 0.348579i | ||||
\(974\) | 56.4119i | 1.80755i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.2510 | − | 7.65046i | −0.424154 | − | 0.244885i | ||||
\(977\) | −20.8797 | − | 12.0549i | −0.668000 | − | 0.385670i | 0.127318 | − | 0.991862i | \(-0.459363\pi\) |
−0.795318 | + | 0.606192i | \(0.792696\pi\) | |||||||
\(978\) | 7.67961 | + | 7.42133i | 0.245567 | + | 0.237308i | ||||
\(979\) | − | 3.82381i | − | 0.122210i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.2549 | − | 8.26964i | 0.423196 | − | 0.264029i | ||||
\(982\) | 4.47267 | + | 7.74688i | 0.142728 | + | 0.247213i | ||||
\(983\) | −24.0441 | + | 41.6456i | −0.766888 | + | 1.32829i | 0.172354 | + | 0.985035i | \(0.444863\pi\) |
−0.939243 | + | 0.343254i | \(0.888471\pi\) | |||||||
\(984\) | −12.8669 | + | 51.5291i | −0.410181 | + | 1.64269i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −32.2739 | −1.02781 | ||||||||
\(987\) | 8.46033 | + | 26.6507i | 0.269295 | + | 0.848302i | ||||
\(988\) | −1.25214 | −0.0398360 | ||||||||
\(989\) | 3.92601 | − | 2.26668i | 0.124840 | − | 0.0720764i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −14.8587 | + | 25.7361i | −0.472003 | + | 0.817534i | −0.999487 | − | 0.0320314i | \(-0.989802\pi\) |
0.527483 | + | 0.849565i | \(0.323136\pi\) | |||||||
\(992\) | −2.62352 | − | 4.54406i | −0.0832967 | − | 0.144274i | ||||
\(993\) | −9.19119 | − | 32.0960i | −0.291674 | − | 1.01854i | ||||
\(994\) | −21.8519 | − | 35.4749i | −0.693099 | − | 1.12520i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −3.22496 | + | 3.33720i | −0.102187 | + | 0.105743i | ||||
\(997\) | −23.1647 | − | 13.3742i | −0.733634 | − | 0.423564i | 0.0861161 | − | 0.996285i | \(-0.472554\pi\) |
−0.819750 | + | 0.572721i | \(0.805888\pi\) | |||||||
\(998\) | 24.5826 | + | 14.1928i | 0.778149 | + | 0.449265i | ||||
\(999\) | 8.47222 | − | 39.6532i | 0.268049 | − | 1.25457i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))