Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(17,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.s (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Root | \(-0.539982 + 0.935277i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.17 |
Dual form | 189.2.s.b.89.3 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.254498 | + | 0.146935i | 0.179958 | + | 0.103899i | 0.587273 | − | 0.809389i | \(-0.300202\pi\) |
−0.407315 | + | 0.913288i | \(0.633535\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.956820 | − | 1.65726i | −0.478410 | − | 0.828631i | ||||
\(5\) | −3.06027 | −1.36859 | −0.684297 | − | 0.729203i | \(-0.739891\pi\) | ||||
−0.684297 | + | 0.729203i | \(0.739891\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.22581 | − | 2.34465i | −0.463312 | − | 0.886195i | ||||
\(8\) | − | 1.15010i | − | 0.406622i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.778834 | − | 0.449660i | −0.246289 | − | 0.142195i | ||||
\(11\) | − | 3.89647i | − | 1.17483i | −0.809285 | − | 0.587416i | \(-0.800145\pi\) | ||
0.809285 | − | 0.587416i | \(-0.199855\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.02935 | + | 1.17164i | 0.562840 | + | 0.324956i | 0.754285 | − | 0.656548i | \(-0.227984\pi\) |
−0.191445 | + | 0.981503i | \(0.561317\pi\) | |||||||
\(14\) | 0.0325450 | − | 0.776824i | 0.00869801 | − | 0.207615i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.74465 | + | 3.02182i | −0.436163 | + | 0.755456i | ||||
\(17\) | −1.68263 | + | 2.91440i | −0.408097 | + | 0.706845i | −0.994677 | − | 0.103047i | \(-0.967141\pi\) |
0.586579 | + | 0.809892i | \(0.300474\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.20696 | − | 1.27419i | 0.506312 | − | 0.292319i | −0.225004 | − | 0.974358i | \(-0.572240\pi\) |
0.731316 | + | 0.682038i | \(0.238906\pi\) | |||||||
\(20\) | 2.92813 | + | 5.07167i | 0.654750 | + | 1.13406i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.572527 | − | 0.991647i | 0.122063 | − | 0.211420i | ||||
\(23\) | − | 2.98075i | − | 0.621530i | −0.950487 | − | 0.310765i | \(-0.899415\pi\) | ||
0.950487 | − | 0.310765i | \(-0.100585\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.36525 | 0.873051 | ||||||||
\(26\) | 0.344311 | + | 0.596363i | 0.0675249 | + | 0.116956i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.71283 | + | 4.27489i | −0.512676 | + | 0.807879i | ||||
\(29\) | 3.67241 | − | 2.12027i | 0.681949 | − | 0.393724i | −0.118640 | − | 0.992937i | \(-0.537853\pi\) |
0.800589 | + | 0.599214i | \(0.204520\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.409400 | + | 0.236367i | −0.0735305 | + | 0.0424528i | −0.536314 | − | 0.844018i | \(-0.680184\pi\) |
0.462784 | + | 0.886471i | \(0.346851\pi\) | |||||||
\(32\) | −2.88005 | + | 1.66280i | −0.509126 | + | 0.293944i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.856452 | + | 0.494473i | −0.146880 | + | 0.0848014i | ||||
\(35\) | 3.75130 | + | 7.17527i | 0.634086 | + | 1.21284i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.89395 | − | 6.74451i | −0.640161 | − | 1.10879i | −0.985397 | − | 0.170275i | \(-0.945534\pi\) |
0.345236 | − | 0.938516i | \(-0.387799\pi\) | |||||||
\(38\) | 0.748891 | 0.121486 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.51962i | 0.556500i | ||||||||
\(41\) | 3.12737 | − | 5.41676i | 0.488413 | − | 0.845956i | −0.511498 | − | 0.859284i | \(-0.670909\pi\) |
0.999911 | + | 0.0133282i | \(0.00424262\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.06191 | + | 3.57133i | 0.314438 | + | 0.544623i | 0.979318 | − | 0.202328i | \(-0.0648506\pi\) |
−0.664880 | + | 0.746950i | \(0.731517\pi\) | |||||||
\(44\) | −6.45748 | + | 3.72823i | −0.973501 | + | 0.562051i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.437976 | − | 0.758597i | 0.0645761 | − | 0.111849i | ||||
\(47\) | 2.02694 | − | 3.51076i | 0.295659 | − | 0.512097i | −0.679479 | − | 0.733695i | \(-0.737794\pi\) |
0.975138 | + | 0.221598i | \(0.0711274\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.99479 | + | 5.74818i | −0.570685 | + | 0.821169i | ||||
\(50\) | 1.11095 | + | 0.641408i | 0.157112 | + | 0.0907087i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 4.48421i | − | 0.621848i | ||||||
\(53\) | 4.99439 | + | 2.88351i | 0.686033 | + | 0.396081i | 0.802124 | − | 0.597157i | \(-0.203703\pi\) |
−0.116091 | + | 0.993239i | \(0.537037\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11.9243i | 1.60787i | ||||||||
\(56\) | −2.69658 | + | 1.40980i | −0.360346 | + | 0.188392i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.24616 | 0.163629 | ||||||||
\(59\) | 2.34352 | + | 4.05910i | 0.305101 | + | 0.528450i | 0.977284 | − | 0.211935i | \(-0.0679765\pi\) |
−0.672183 | + | 0.740385i | \(0.734643\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.38580 | − | 0.800092i | −0.177433 | − | 0.102441i | 0.408653 | − | 0.912690i | \(-0.365999\pi\) |
−0.586086 | + | 0.810249i | \(0.699332\pi\) | |||||||
\(62\) | −0.138922 | −0.0176432 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.00131 | 0.750164 | ||||||||
\(65\) | −6.21035 | − | 3.58555i | −0.770299 | − | 0.444733i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.787831 | − | 1.36456i | −0.0962489 | − | 0.166708i | 0.813880 | − | 0.581033i | \(-0.197351\pi\) |
−0.910129 | + | 0.414325i | \(0.864018\pi\) | |||||||
\(68\) | 6.43989 | 0.780951 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0995964 | + | 2.37729i | −0.0119040 | + | 0.284141i | ||||
\(71\) | − | 13.6132i | − | 1.61559i | −0.589462 | − | 0.807796i | \(-0.700660\pi\) | ||
0.589462 | − | 0.807796i | \(-0.299340\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.856452 | − | 0.494473i | −0.100240 | − | 0.0578737i | 0.449042 | − | 0.893511i | \(-0.351765\pi\) |
−0.549282 | + | 0.835637i | \(0.685099\pi\) | |||||||
\(74\) | − | 2.28862i | − | 0.266047i | ||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.22333 | − | 2.43834i | −0.484450 | − | 0.279697i | ||||
\(77\) | −9.13588 | + | 4.77633i | −1.04113 | + | 0.544313i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.63908 | − | 8.03512i | 0.521937 | − | 0.904021i | −0.477737 | − | 0.878503i | \(-0.658543\pi\) |
0.999674 | − | 0.0255186i | \(-0.00812370\pi\) | |||||||
\(80\) | 5.33910 | − | 9.24760i | 0.596930 | − | 1.03391i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.59182 | − | 0.919038i | 0.175787 | − | 0.101491i | ||||
\(83\) | 5.49361 | + | 9.51520i | 0.603002 | + | 1.04443i | 0.992364 | + | 0.123345i | \(0.0393621\pi\) |
−0.389362 | + | 0.921085i | \(0.627305\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.14930 | − | 8.91884i | 0.558519 | − | 0.967384i | ||||
\(86\) | 1.21186i | 0.130679i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.48133 | −0.477712 | ||||||||
\(89\) | −2.15849 | − | 3.73861i | −0.228799 | − | 0.396292i | 0.728653 | − | 0.684883i | \(-0.240147\pi\) |
−0.957452 | + | 0.288591i | \(0.906813\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.259511 | − | 6.19433i | 0.0272041 | − | 0.649342i | ||||
\(92\) | −4.93989 | + | 2.85205i | −0.515019 | + | 0.297346i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.03171 | − | 0.595655i | 0.106412 | − | 0.0614371i | ||||
\(95\) | −6.75390 | + | 3.89937i | −0.692936 | + | 0.400067i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.98797 | + | 2.87980i | −0.506451 | + | 0.292400i | −0.731374 | − | 0.681977i | \(-0.761120\pi\) |
0.224923 | + | 0.974377i | \(0.427787\pi\) | |||||||
\(98\) | −1.86128 | + | 0.875930i | −0.188017 | + | 0.0884823i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.17676 | − | 7.23437i | −0.417676 | − | 0.723437i | ||||
\(101\) | −17.1580 | −1.70728 | −0.853642 | − | 0.520860i | \(-0.825611\pi\) | ||||
−0.853642 | + | 0.520860i | \(0.825611\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 9.81983i | − | 0.967577i | −0.875185 | − | 0.483788i | \(-0.839260\pi\) | ||
0.875185 | − | 0.483788i | \(-0.160740\pi\) | |||||||
\(104\) | 1.34751 | − | 2.33395i | 0.132134 | − | 0.228863i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.847377 | + | 1.46770i | 0.0823045 | + | 0.142556i | ||||
\(107\) | −3.00501 | + | 1.73494i | −0.290505 | + | 0.167723i | −0.638170 | − | 0.769896i | \(-0.720308\pi\) |
0.347664 | + | 0.937619i | \(0.386975\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.611066 | − | 1.05840i | 0.0585295 | − | 0.101376i | −0.835276 | − | 0.549831i | \(-0.814692\pi\) |
0.893806 | + | 0.448455i | \(0.148025\pi\) | |||||||
\(110\) | −1.75209 | + | 3.03471i | −0.167055 | + | 0.289348i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.22374 | + | 0.386427i | 0.871561 | + | 0.0365140i | ||||
\(113\) | 1.87681 | + | 1.08358i | 0.176555 | + | 0.101934i | 0.585673 | − | 0.810547i | \(-0.300830\pi\) |
−0.409118 | + | 0.912482i | \(0.634164\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.12191i | 0.850623i | ||||||||
\(116\) | −7.02767 | − | 4.05743i | −0.652503 | − | 0.376723i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.37738i | 0.126798i | ||||||||
\(119\) | 8.89582 | + | 0.372690i | 0.815479 | + | 0.0341644i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.18251 | −0.380228 | ||||||||
\(122\) | −0.235123 | − | 0.407244i | −0.0212870 | − | 0.0368702i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.783445 | + | 0.452322i | 0.0703555 | + | 0.0406198i | ||||
\(125\) | 1.94249 | 0.173742 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.74889 | 0.243925 | 0.121962 | − | 0.992535i | \(-0.461081\pi\) | ||||
0.121962 | + | 0.992535i | \(0.461081\pi\) | |||||||
\(128\) | 7.28743 | + | 4.20740i | 0.644124 | + | 0.371885i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.05368 | − | 1.82503i | −0.0924141 | − | 0.160066i | ||||
\(131\) | 7.47821 | 0.653375 | 0.326687 | − | 0.945132i | \(-0.394068\pi\) | ||||
0.326687 | + | 0.945132i | \(0.394068\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.69285 | − | 3.61265i | −0.493632 | − | 0.313256i | ||||
\(134\) | − | 0.463039i | − | 0.0400005i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.35185 | + | 1.93519i | 0.287418 | + | 0.165941i | ||||
\(137\) | − | 12.2088i | − | 1.04307i | −0.853231 | − | 0.521533i | \(-0.825360\pi\) | ||
0.853231 | − | 0.521533i | \(-0.174640\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.5501 | + | 6.66842i | 0.979663 | + | 0.565608i | 0.902168 | − | 0.431384i | \(-0.141975\pi\) |
0.0774943 | + | 0.996993i | \(0.475308\pi\) | |||||||
\(140\) | 8.30198 | − | 13.0823i | 0.701645 | − | 1.10566i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.00026 | − | 3.46454i | 0.167858 | − | 0.290738i | ||||
\(143\) | 4.56528 | − | 7.90730i | 0.381768 | − | 0.661242i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.2386 | + | 6.48859i | −0.933312 | + | 0.538848i | ||||
\(146\) | −0.145310 | − | 0.251685i | −0.0120260 | − | 0.0208296i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.45161 | + | 12.9066i | −0.612519 | + | 1.06091i | ||||
\(149\) | 8.47350i | 0.694176i | 0.937832 | + | 0.347088i | \(0.112830\pi\) | ||||
−0.937832 | + | 0.347088i | \(0.887170\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.35654 | −0.273152 | −0.136576 | − | 0.990630i | \(-0.543610\pi\) | ||||
−0.136576 | + | 0.990630i | \(0.543610\pi\) | |||||||
\(152\) | −1.46545 | − | 2.53823i | −0.118863 | − | 0.205877i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.02688 | − | 0.126811i | −0.243913 | − | 0.0102187i | ||||
\(155\) | 1.25288 | − | 0.723348i | 0.100633 | − | 0.0581007i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −14.4700 | + | 8.35426i | −1.15483 | + | 0.666743i | −0.950060 | − | 0.312067i | \(-0.898979\pi\) |
−0.204772 | + | 0.978810i | \(0.565645\pi\) | |||||||
\(158\) | 2.36128 | − | 1.36328i | 0.187853 | − | 0.108457i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 8.81374 | − | 5.08862i | 0.696787 | − | 0.402290i | ||||
\(161\) | −6.98883 | + | 3.65383i | −0.550797 | + | 0.287962i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.6662 | + | 21.9385i | 0.992094 | + | 1.71836i | 0.604731 | + | 0.796430i | \(0.293281\pi\) |
0.387363 | + | 0.921927i | \(0.373386\pi\) | |||||||
\(164\) | −11.9693 | −0.934647 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.22881i | 0.250604i | ||||||||
\(167\) | 0.875828 | − | 1.51698i | 0.0677736 | − | 0.117387i | −0.830147 | − | 0.557544i | \(-0.811744\pi\) |
0.897921 | + | 0.440157i | \(0.145077\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.75450 | − | 6.50298i | −0.288808 | − | 0.500229i | ||||
\(170\) | 2.62097 | − | 1.51322i | 0.201020 | − | 0.116059i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.94575 | − | 6.83424i | 0.300861 | − | 0.521106i | ||||
\(173\) | −11.9633 | + | 20.7210i | −0.909551 | + | 1.57539i | −0.0948622 | + | 0.995490i | \(0.530241\pi\) |
−0.814689 | + | 0.579898i | \(0.803092\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.35096 | − | 10.2350i | −0.404495 | − | 0.773694i | ||||
\(176\) | 11.7745 | + | 6.79799i | 0.887533 | + | 0.512418i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 1.26863i | − | 0.0950875i | ||||||
\(179\) | 21.9857 | + | 12.6935i | 1.64329 | + | 0.948755i | 0.979652 | + | 0.200702i | \(0.0643223\pi\) |
0.663639 | + | 0.748053i | \(0.269011\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 22.4032i | − | 1.66522i | −0.553859 | − | 0.832610i | \(-0.686845\pi\) | ||
0.553859 | − | 0.832610i | \(-0.313155\pi\) | |||||||
\(182\) | 0.976207 | − | 1.53832i | 0.0723613 | − | 0.114028i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.42816 | −0.252728 | ||||||||
\(185\) | 11.9165 | + | 20.6400i | 0.876121 | + | 1.51749i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.3559 | + | 6.55631i | 0.830423 | + | 0.479445i | ||||
\(188\) | −7.75766 | −0.565786 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.29181 | −0.166265 | ||||||||
\(191\) | 3.71434 | + | 2.14447i | 0.268760 | + | 0.155169i | 0.628324 | − | 0.777952i | \(-0.283741\pi\) |
−0.359564 | + | 0.933120i | \(0.617075\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.6725 | + | 20.2173i | 0.840203 | + | 1.45527i | 0.889723 | + | 0.456501i | \(0.150897\pi\) |
−0.0495201 | + | 0.998773i | \(0.515769\pi\) | |||||||
\(194\) | −1.69257 | −0.121520 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 13.3485 | + | 1.12044i | 0.953467 | + | 0.0800313i | ||||
\(197\) | 18.7811i | 1.33809i | 0.743220 | + | 0.669047i | \(0.233298\pi\) | ||||
−0.743220 | + | 0.669047i | \(0.766702\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.92927 | − | 2.26856i | −0.278539 | − | 0.160814i | 0.354223 | − | 0.935161i | \(-0.384745\pi\) |
−0.632762 | + | 0.774347i | \(0.718079\pi\) | |||||||
\(200\) | − | 5.02048i | − | 0.355001i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.36668 | − | 2.52111i | −0.307239 | − | 0.177384i | ||||
\(203\) | −9.47295 | − | 6.01149i | −0.664871 | − | 0.421924i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.57060 | + | 16.5768i | −0.668439 | + | 1.15777i | ||||
\(206\) | 1.44287 | − | 2.49913i | 0.100530 | − | 0.174123i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.08101 | + | 4.08822i | −0.490980 | + | 0.283467i | ||||
\(209\) | −4.96485 | − | 8.59937i | −0.343426 | − | 0.594831i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.44148 | + | 5.96082i | −0.236921 | + | 0.410360i | −0.959829 | − | 0.280584i | \(-0.909472\pi\) |
0.722908 | + | 0.690944i | \(0.242805\pi\) | |||||||
\(212\) | − | 11.0360i | − | 0.757957i | ||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.01969 | −0.0697049 | ||||||||
\(215\) | −6.31000 | − | 10.9292i | −0.430338 | − | 0.745368i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.05605 | + | 0.670161i | 0.0716890 | + | 0.0454935i | ||||
\(218\) | 0.311031 | − | 0.179574i | 0.0210657 | − | 0.0121623i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 19.7616 | − | 11.4094i | 1.33233 | − | 0.769220i | ||||
\(221\) | −6.82927 | + | 3.94288i | −0.459387 | + | 0.265227i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.57176 | + | 3.21686i | −0.373113 | + | 0.215417i | −0.674818 | − | 0.737985i | \(-0.735778\pi\) |
0.301705 | + | 0.953401i | \(0.402444\pi\) | |||||||
\(224\) | 7.42908 | + | 4.71445i | 0.496376 | + | 0.314998i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.318430 | + | 0.551537i | 0.0211816 | + | 0.0366877i | ||||
\(227\) | 19.7397 | 1.31017 | 0.655084 | − | 0.755556i | \(-0.272633\pi\) | ||||
0.655084 | + | 0.755556i | \(0.272633\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 10.9069i | − | 0.720747i | −0.932808 | − | 0.360373i | \(-0.882649\pi\) | ||
0.932808 | − | 0.360373i | \(-0.117351\pi\) | |||||||
\(230\) | −1.34033 | + | 2.32151i | −0.0883785 | + | 0.153076i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.43852 | − | 4.22364i | −0.160097 | − | 0.277295i | ||||
\(233\) | 17.9944 | − | 10.3891i | 1.17885 | − | 0.680611i | 0.223104 | − | 0.974795i | \(-0.428381\pi\) |
0.955749 | + | 0.294184i | \(0.0950478\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.20298 | + | 10.7439i | −0.404638 | + | 0.700853i | ||||
\(236\) | 4.48466 | − | 7.76766i | 0.291927 | − | 0.505632i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.20921 | + | 1.40195i | 0.143202 | + | 0.0908752i | ||||
\(239\) | −23.6739 | − | 13.6681i | −1.53134 | − | 0.884119i | −0.999300 | − | 0.0373991i | \(-0.988093\pi\) |
−0.532039 | − | 0.846720i | \(-0.678574\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 21.3259i | − | 1.37372i | −0.726788 | − | 0.686861i | \(-0.758988\pi\) | ||
0.726788 | − | 0.686861i | \(-0.241012\pi\) | |||||||
\(242\) | −1.06444 | − | 0.614556i | −0.0684250 | − | 0.0395052i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.06218i | 0.196036i | ||||||||
\(245\) | 12.2251 | − | 17.5910i | 0.781036 | − | 1.12385i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.97159 | 0.379963 | ||||||||
\(248\) | 0.271846 | + | 0.470851i | 0.0172622 | + | 0.0298991i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.494361 | + | 0.285419i | 0.0312661 | + | 0.0180515i | ||||
\(251\) | −26.7381 | −1.68769 | −0.843847 | − | 0.536584i | \(-0.819714\pi\) | ||||
−0.843847 | + | 0.536584i | \(0.819714\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.6144 | −0.730193 | ||||||||
\(254\) | 0.699589 | + | 0.403908i | 0.0438961 | + | 0.0253434i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.76489 | − | 8.25303i | −0.297805 | − | 0.515814i | ||||
\(257\) | 3.05279 | 0.190428 | 0.0952140 | − | 0.995457i | \(-0.469646\pi\) | ||||
0.0952140 | + | 0.995457i | \(0.469646\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.0403 | + | 17.3974i | −0.686012 | + | 1.08102i | ||||
\(260\) | 13.7229i | 0.851058i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.90319 | + | 1.09881i | 0.117580 | + | 0.0678847i | ||||
\(263\) | 16.2174i | 1.00001i | 0.866024 | + | 0.500003i | \(0.166668\pi\) | ||||
−0.866024 | + | 0.500003i | \(0.833332\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.2842 | − | 8.82433i | −0.938901 | − | 0.542074i | ||||
\(266\) | −0.917996 | − | 1.75589i | −0.0562860 | − | 0.107661i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.50763 | + | 2.61128i | −0.0920929 | + | 0.159510i | ||||
\(269\) | 0.303255 | − | 0.525254i | 0.0184898 | − | 0.0320253i | −0.856632 | − | 0.515927i | \(-0.827448\pi\) |
0.875122 | + | 0.483902i | \(0.160781\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.8948 | − | 11.4863i | 1.20852 | − | 0.697742i | 0.246088 | − | 0.969248i | \(-0.420855\pi\) |
0.962437 | + | 0.271505i | \(0.0875215\pi\) | |||||||
\(272\) | −5.87120 | − | 10.1692i | −0.355994 | − | 0.616599i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.79389 | − | 3.10711i | 0.108373 | − | 0.187708i | ||||
\(275\) | − | 17.0091i | − | 1.02569i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.2835 | 0.798125 | 0.399063 | − | 0.916924i | \(-0.369336\pi\) | ||||
0.399063 | + | 0.916924i | \(0.369336\pi\) | |||||||
\(278\) | 1.95965 | + | 3.39421i | 0.117532 | + | 0.203571i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.25228 | − | 4.31437i | 0.493168 | − | 0.257833i | ||||
\(281\) | −5.68377 | + | 3.28153i | −0.339065 | + | 0.195759i | −0.659859 | − | 0.751390i | \(-0.729384\pi\) |
0.320793 | + | 0.947149i | \(0.396050\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.57413 | − | 1.48617i | 0.153016 | − | 0.0883437i | −0.421537 | − | 0.906811i | \(-0.638509\pi\) |
0.574553 | + | 0.818467i | \(0.305176\pi\) | |||||||
\(284\) | −22.5607 | + | 13.0254i | −1.33873 | + | 0.772916i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.32371 | − | 1.34160i | 0.137404 | − | 0.0793303i | ||||
\(287\) | −16.5340 | − | 0.692689i | −0.975970 | − | 0.0408882i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.83753 | + | 4.91475i | 0.166914 | + | 0.289103i | ||||
\(290\) | −3.81360 | −0.223942 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.89249i | 0.110749i | ||||||||
\(293\) | 3.03087 | − | 5.24962i | 0.177065 | − | 0.306686i | −0.763809 | − | 0.645443i | \(-0.776673\pi\) |
0.940874 | + | 0.338756i | \(0.110006\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.17181 | − | 12.4219i | −0.417559 | − | 0.723234i | ||||
\(296\) | −7.75686 | + | 4.47843i | −0.450858 | + | 0.260303i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.24505 | + | 2.15649i | −0.0721239 | + | 0.124922i | ||||
\(299\) | 3.49238 | − | 6.04899i | 0.201970 | − | 0.349822i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.84603 | − | 9.21222i | 0.336959 | − | 0.530984i | ||||
\(302\) | −0.854235 | − | 0.493193i | −0.0491557 | − | 0.0283801i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.89207i | 0.509995i | ||||||||
\(305\) | 4.24092 | + | 2.44850i | 0.242834 | + | 0.140201i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 21.6030i | − | 1.23295i | −0.787375 | − | 0.616474i | \(-0.788561\pi\) | ||
0.787375 | − | 0.616474i | \(-0.211439\pi\) | |||||||
\(308\) | 16.6570 | + | 10.5705i | 0.949122 | + | 0.602308i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.425140 | 0.0241463 | ||||||||
\(311\) | −5.51171 | − | 9.54656i | −0.312540 | − | 0.541336i | 0.666371 | − | 0.745620i | \(-0.267847\pi\) |
−0.978912 | + | 0.204284i | \(0.934513\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.7383 | − | 6.77710i | −0.663487 | − | 0.383064i | 0.130117 | − | 0.991499i | \(-0.458465\pi\) |
−0.793604 | + | 0.608434i | \(0.791798\pi\) | |||||||
\(314\) | −4.91012 | −0.277094 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −17.7551 | −0.998800 | ||||||||
\(317\) | 9.65977 | + | 5.57707i | 0.542547 | + | 0.313240i | 0.746111 | − | 0.665822i | \(-0.231919\pi\) |
−0.203564 | + | 0.979062i | \(0.565252\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.26156 | − | 14.3094i | −0.462559 | − | 0.801175i | ||||
\(320\) | −18.3656 | −1.02667 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.31552 | − | 0.0970085i | −0.129039 | − | 0.00540607i | ||||
\(323\) | 8.57595i | 0.477179i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.85862 | + | 5.11453i | 0.491388 | + | 0.283703i | ||||
\(326\) | 7.44442i | 0.412308i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.22982 | − | 3.59679i | −0.343984 | − | 0.198599i | ||||
\(329\) | −10.7161 | − | 0.448952i | −0.590800 | − | 0.0247515i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.51009 | − | 16.4720i | 0.522722 | − | 0.905380i | −0.476929 | − | 0.878942i | \(-0.658250\pi\) |
0.999650 | − | 0.0264385i | \(-0.00841661\pi\) | |||||||
\(332\) | 10.5128 | − | 18.2087i | 0.576964 | − | 0.999331i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.445794 | − | 0.257379i | 0.0243927 | − | 0.0140832i | ||||
\(335\) | 2.41098 | + | 4.17593i | 0.131726 | + | 0.228156i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.32635 | − | 5.76140i | 0.181198 | − | 0.313843i | −0.761091 | − | 0.648645i | \(-0.775336\pi\) |
0.942289 | + | 0.334802i | \(0.108669\pi\) | |||||||
\(338\) | − | 2.20666i | − | 0.120027i | ||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −19.7078 | −1.06881 | ||||||||
\(341\) | 0.921000 | + | 1.59522i | 0.0498749 | + | 0.0863859i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.3743 | + | 2.32024i | 0.992121 | + | 0.125281i | ||||
\(344\) | 4.10738 | − | 2.37140i | 0.221455 | − | 0.127857i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.08927 | + | 3.51564i | −0.327361 | + | 0.189002i | ||||
\(347\) | 23.0796 | − | 13.3250i | 1.23898 | − | 0.715325i | 0.270094 | − | 0.962834i | \(-0.412945\pi\) |
0.968886 | + | 0.247509i | \(0.0796118\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 20.5135 | − | 11.8435i | 1.09806 | − | 0.633966i | 0.162350 | − | 0.986733i | \(-0.448093\pi\) |
0.935711 | + | 0.352768i | \(0.114759\pi\) | |||||||
\(350\) | 0.142067 | − | 3.39104i | 0.00759380 | − | 0.181258i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.47905 | + | 11.2221i | 0.345335 | + | 0.598137i | ||||
\(353\) | −4.58845 | −0.244218 | −0.122109 | − | 0.992517i | \(-0.538966\pi\) | ||||
−0.122109 | + | 0.992517i | \(0.538966\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 41.6602i | 2.21109i | ||||||||
\(356\) | −4.13057 | + | 7.15435i | −0.218920 | + | 0.379180i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.73022 | + | 6.46094i | 0.197148 | + | 0.341471i | ||||
\(359\) | −5.30942 | + | 3.06540i | −0.280221 | + | 0.161785i | −0.633523 | − | 0.773724i | \(-0.718392\pi\) |
0.353303 | + | 0.935509i | \(0.385059\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.25288 | + | 10.8303i | −0.329099 | + | 0.570016i | ||||
\(362\) | 3.29182 | − | 5.70159i | 0.173014 | − | 0.299669i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.5139 | + | 5.49678i | −0.551079 | + | 0.288110i | ||||
\(365\) | 2.62097 | + | 1.51322i | 0.137188 | + | 0.0792056i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 26.4264i | 1.37945i | 0.724072 | + | 0.689725i | \(0.242268\pi\) | ||||
−0.724072 | + | 0.689725i | \(0.757732\pi\) | |||||||
\(368\) | 9.00732 | + | 5.20038i | 0.469539 | + | 0.271088i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.00381i | 0.364111i | ||||||||
\(371\) | 0.638677 | − | 15.2448i | 0.0331585 | − | 0.791468i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 20.1162 | 1.04158 | 0.520789 | − | 0.853686i | \(-0.325638\pi\) | ||||
0.520789 | + | 0.853686i | \(0.325638\pi\) | |||||||
\(374\) | 1.92670 | + | 3.33714i | 0.0996273 | + | 0.172560i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.03772 | − | 2.33118i | −0.208230 | − | 0.120221i | ||||
\(377\) | 9.93679 | 0.511771 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.4561 | −0.896660 | −0.448330 | − | 0.893868i | \(-0.647981\pi\) | ||||
−0.448330 | + | 0.893868i | \(0.647981\pi\) | |||||||
\(380\) | 12.9245 | + | 7.46199i | 0.663015 | + | 0.382792i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.630195 | + | 1.09153i | 0.0322436 | + | 0.0558476i | ||||
\(383\) | 28.0633 | 1.43397 | 0.716985 | − | 0.697089i | \(-0.245522\pi\) | ||||
0.716985 | + | 0.697089i | \(0.245522\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 27.9583 | − | 14.6168i | 1.42488 | − | 0.744944i | ||||
\(386\) | 6.86037i | 0.349183i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.54517 | + | 5.51091i | 0.484583 | + | 0.279774i | ||||
\(389\) | − | 34.2392i | − | 1.73600i | −0.496566 | − | 0.867999i | \(-0.665406\pi\) | ||
0.496566 | − | 0.867999i | \(-0.334594\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.68710 | + | 5.01550i | 0.439325 | + | 0.253645i | ||||
\(392\) | 6.61098 | + | 4.59441i | 0.333905 | + | 0.232053i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.75959 | + | 4.77975i | −0.139026 | + | 0.240800i | ||||
\(395\) | −14.1968 | + | 24.5896i | −0.714320 | + | 1.23724i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.2926 | + | 6.51981i | −0.566762 | + | 0.327220i | −0.755855 | − | 0.654739i | \(-0.772778\pi\) |
0.189093 | + | 0.981959i | \(0.439445\pi\) | |||||||
\(398\) | −0.666662 | − | 1.15469i | −0.0334167 | − | 0.0578795i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.61585 | + | 13.1910i | −0.380792 | + | 0.659552i | ||||
\(401\) | 18.3532i | 0.916514i | 0.888820 | + | 0.458257i | \(0.151526\pi\) | ||||
−0.888820 | + | 0.458257i | \(0.848474\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.10775 | −0.0551812 | ||||||||
\(404\) | 16.4171 | + | 28.4353i | 0.816782 | + | 1.41471i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.52756 | − | 2.92182i | −0.0758113 | − | 0.145007i | ||||
\(407\) | −26.2798 | + | 15.1727i | −1.30264 | + | 0.752081i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.60133 | + | 3.23393i | −0.276968 | + | 0.159907i | −0.632050 | − | 0.774928i | \(-0.717786\pi\) |
0.355082 | + | 0.934835i | \(0.384453\pi\) | |||||||
\(410\) | −4.87140 | + | 2.81251i | −0.240581 | + | 0.138900i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −16.2740 | + | 9.39581i | −0.801764 | + | 0.462899i | ||||
\(413\) | 6.64448 | − | 10.4704i | 0.326953 | − | 0.515216i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.8119 | − | 29.1191i | −0.825265 | − | 1.42940i | ||||
\(416\) | −7.79284 | −0.382075 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 2.91804i | − | 0.142726i | ||||||
\(419\) | 7.11542 | − | 12.3243i | 0.347611 | − | 0.602080i | −0.638214 | − | 0.769859i | \(-0.720326\pi\) |
0.985825 | + | 0.167779i | \(0.0536596\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.1718 | + | 26.2784i | 0.739429 | + | 1.28073i | 0.952753 | + | 0.303747i | \(0.0982378\pi\) |
−0.213324 | + | 0.976982i | \(0.568429\pi\) | |||||||
\(422\) | −1.75170 | + | 1.01135i | −0.0852716 | + | 0.0492316i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.31633 | − | 5.74405i | 0.161055 | − | 0.278956i | ||||
\(425\) | −7.34510 | + | 12.7221i | −0.356290 | + | 0.617112i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.177214 | + | 4.22998i | −0.00857601 | + | 0.204703i | ||||
\(428\) | 5.75051 | + | 3.32006i | 0.277962 | + | 0.160481i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 3.70863i | − | 0.178846i | ||||||
\(431\) | −2.12663 | − | 1.22781i | −0.102436 | − | 0.0591415i | 0.447907 | − | 0.894080i | \(-0.352170\pi\) |
−0.550343 | + | 0.834939i | \(0.685503\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.4545i | 0.598525i | 0.954171 | + | 0.299262i | \(0.0967406\pi\) | ||||
−0.954171 | + | 0.299262i | \(0.903259\pi\) | |||||||
\(434\) | 0.170292 | + | 0.325725i | 0.00817428 | + | 0.0156353i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.33872 | −0.112004 | ||||||||
\(437\) | −3.79805 | − | 6.57841i | −0.181685 | − | 0.314688i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.1815 | − | 8.76502i | −0.724571 | − | 0.418331i | 0.0918615 | − | 0.995772i | \(-0.470718\pi\) |
−0.816433 | + | 0.577440i | \(0.804052\pi\) | |||||||
\(440\) | 13.7141 | 0.653794 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.31739 | −0.110227 | ||||||||
\(443\) | −7.79825 | − | 4.50232i | −0.370506 | − | 0.213912i | 0.303173 | − | 0.952935i | \(-0.401954\pi\) |
−0.673680 | + | 0.739024i | \(0.735287\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.60555 | + | 11.4411i | 0.313133 | + | 0.542362i | ||||
\(446\) | −1.89067 | −0.0895260 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.35645 | − | 14.0710i | −0.347560 | − | 0.664792i | ||||
\(449\) | − | 30.8120i | − | 1.45411i | −0.686581 | − | 0.727054i | \(-0.740889\pi\) | ||
0.686581 | − | 0.727054i | \(-0.259111\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.1063 | − | 12.1857i | −0.993856 | − | 0.573803i | ||||
\(452\) | − | 4.14715i | − | 0.195065i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.02371 | + | 2.90044i | 0.235775 | + | 0.136125i | ||||
\(455\) | −0.794173 | + | 18.9563i | −0.0372314 | + | 0.888686i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.91430 | + | 11.9759i | −0.323437 | + | 0.560210i | −0.981195 | − | 0.193020i | \(-0.938172\pi\) |
0.657758 | + | 0.753230i | \(0.271505\pi\) | |||||||
\(458\) | 1.60260 | − | 2.77578i | 0.0748846 | − | 0.129704i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 15.1174 | − | 8.72803i | 0.704852 | − | 0.406947i | ||||
\(461\) | 6.16989 | + | 10.6866i | 0.287360 | + | 0.497723i | 0.973179 | − | 0.230050i | \(-0.0738889\pi\) |
−0.685818 | + | 0.727773i | \(0.740556\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.37802 | − | 11.0471i | 0.296412 | − | 0.513401i | −0.678900 | − | 0.734230i | \(-0.737543\pi\) |
0.975312 | + | 0.220830i | \(0.0708765\pi\) | |||||||
\(464\) | 14.7965i | 0.686910i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.10606 | 0.282858 | ||||||||
\(467\) | −5.48999 | − | 9.50894i | −0.254046 | − | 0.440021i | 0.710590 | − | 0.703607i | \(-0.248428\pi\) |
−0.964636 | + | 0.263585i | \(0.915095\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.23370 | + | 3.51988i | −0.103143 | + | 0.162533i | ||||
\(470\) | −3.15730 | + | 1.82287i | −0.145635 | + | 0.0840825i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.66837 | − | 2.69528i | 0.214879 | − | 0.124061i | ||||
\(473\) | 13.9156 | − | 8.03417i | 0.639840 | − | 0.369412i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.63396 | − | 5.56217i | 0.442036 | − | 0.255210i | ||||
\(476\) | −7.89406 | − | 15.0993i | −0.361824 | − | 0.692075i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.01665 | − | 6.95704i | −0.183717 | − | 0.318208i | ||||
\(479\) | 11.1946 | 0.511493 | 0.255747 | − | 0.966744i | \(-0.417679\pi\) | ||||
0.255747 | + | 0.966744i | \(0.417679\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 18.2493i | − | 0.832096i | ||||||
\(482\) | 3.13352 | − | 5.42741i | 0.142728 | − | 0.247212i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.00191 | + | 6.93152i | 0.181905 | + | 0.315069i | ||||
\(485\) | 15.2645 | − | 8.81298i | 0.693126 | − | 0.400177i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.48332 | + | 2.56919i | −0.0672158 | + | 0.116421i | −0.897675 | − | 0.440659i | \(-0.854745\pi\) |
0.830459 | + | 0.557080i | \(0.188078\pi\) | |||||||
\(488\) | −0.920185 | + | 1.59381i | −0.0416548 | + | 0.0721483i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.69601 | − | 2.68058i | 0.257319 | − | 0.121096i | ||||
\(491\) | 20.1795 | + | 11.6507i | 0.910690 | + | 0.525787i | 0.880653 | − | 0.473762i | \(-0.157104\pi\) |
0.0300367 | + | 0.999549i | \(0.490438\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.2705i | 0.642710i | ||||||||
\(494\) | 1.51976 | + | 0.877435i | 0.0683773 | + | 0.0394776i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 1.64952i | − | 0.0740654i | ||||||
\(497\) | −31.9183 | + | 16.6872i | −1.43173 | + | 0.748523i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.58592 | −0.205294 | −0.102647 | − | 0.994718i | \(-0.532731\pi\) | ||||
−0.102647 | + | 0.994718i | \(0.532731\pi\) | |||||||
\(500\) | −1.85862 | − | 3.21922i | −0.0831198 | − | 0.143968i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.80480 | − | 3.92875i | −0.303713 | − | 0.175349i | ||||
\(503\) | −23.1383 | −1.03169 | −0.515844 | − | 0.856683i | \(-0.672521\pi\) | ||||
−0.515844 | + | 0.856683i | \(0.672521\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 52.5081 | 2.33658 | ||||||||
\(506\) | −2.95585 | − | 1.70656i | −0.131404 | − | 0.0758660i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.63020 | − | 4.55563i | −0.116696 | − | 0.202123i | ||||
\(509\) | −9.65706 | −0.428042 | −0.214021 | − | 0.976829i | \(-0.568656\pi\) | ||||
−0.214021 | + | 0.976829i | \(0.568656\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.109522 | + | 2.61421i | −0.00484497 | + | 0.115646i | ||||
\(512\) | − | 19.6301i | − | 0.867536i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.776931 | + | 0.448561i | 0.0342690 | + | 0.0197852i | ||||
\(515\) | 30.0513i | 1.32422i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.6796 | − | 7.89791i | −0.601627 | − | 0.347350i | ||||
\(518\) | −5.36603 | + | 2.80541i | −0.235770 | + | 0.123263i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.12374 | + | 7.14252i | −0.180838 | + | 0.313220i | ||||
\(521\) | 5.00035 | − | 8.66086i | 0.219069 | − | 0.379439i | −0.735454 | − | 0.677574i | \(-0.763031\pi\) |
0.954524 | + | 0.298135i | \(0.0963646\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.7796 | + | 6.22361i | −0.471359 | + | 0.272139i | −0.716809 | − | 0.697270i | \(-0.754398\pi\) |
0.245449 | + | 0.969409i | \(0.421065\pi\) | |||||||
\(524\) | −7.15531 | − | 12.3934i | −0.312581 | − | 0.541406i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.38289 | + | 4.12729i | −0.103899 | + | 0.179959i | ||||
\(527\) | − | 1.59087i | − | 0.0692995i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.1151 | 0.613700 | ||||||||
\(530\) | −2.59320 | − | 4.49156i | −0.112641 | − | 0.195101i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.540075 | + | 12.8912i | −0.0234152 | + | 0.558904i | ||||
\(533\) | 12.6930 | − | 7.32833i | 0.549797 | − | 0.317425i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.19615 | − | 5.30940i | 0.397584 | − | 0.229545i | ||||
\(536\) | −1.56938 | + | 0.906084i | −0.0677870 | + | 0.0391369i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.154356 | − | 0.0891175i | 0.00665476 | − | 0.00384213i | ||||
\(539\) | 22.3977 | + | 15.5656i | 0.964735 | + | 0.670458i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.96514 | + | 12.0640i | 0.299455 | + | 0.518671i | 0.976011 | − | 0.217720i | \(-0.0698619\pi\) |
−0.676557 | + | 0.736391i | \(0.736529\pi\) | |||||||
\(542\) | 6.75094 | 0.289978 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 11.1915i | − | 0.479831i | ||||||
\(545\) | −1.87003 | + | 3.23898i | −0.0801032 | + | 0.138743i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.6768 | − | 37.5454i | −0.926834 | − | 1.60532i | −0.788584 | − | 0.614926i | \(-0.789186\pi\) |
−0.138250 | − | 0.990397i | \(-0.544148\pi\) | |||||||
\(548\) | −20.2331 | + | 11.6816i | −0.864316 | + | 0.499013i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.49923 | − | 4.32879i | 0.106567 | − | 0.184580i | ||||
\(551\) | 5.40325 | − | 9.35870i | 0.230186 | − | 0.398694i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.5262 | − | 1.02752i | −1.04296 | − | 0.0436947i | ||||
\(554\) | 3.38062 | + | 1.95180i | 0.143629 | + | 0.0829241i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | − | 25.5219i | − | 1.08237i | ||||||
\(557\) | −31.1339 | − | 17.9752i | −1.31919 | − | 0.761632i | −0.335588 | − | 0.942009i | \(-0.608935\pi\) |
−0.983598 | + | 0.180377i | \(0.942268\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.66329i | 0.408714i | ||||||||
\(560\) | −28.2271 | − | 1.18257i | −1.19281 | − | 0.0499728i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.92868 | −0.0813565 | ||||||||
\(563\) | −3.05554 | − | 5.29235i | −0.128776 | − | 0.223046i | 0.794427 | − | 0.607360i | \(-0.207771\pi\) |
−0.923202 | + | 0.384314i | \(0.874438\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.74354 | − | 3.31603i | −0.241633 | − | 0.139507i | ||||
\(566\) | 0.873481 | 0.0367151 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −15.6566 | −0.656935 | ||||||||
\(569\) | −16.7182 | − | 9.65223i | −0.700861 | − | 0.404642i | 0.106807 | − | 0.994280i | \(-0.465937\pi\) |
−0.807668 | + | 0.589637i | \(0.799271\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.36118 | − | 11.0179i | −0.266207 | − | 0.461085i | 0.701672 | − | 0.712500i | \(-0.252437\pi\) |
−0.967879 | + | 0.251416i | \(0.919104\pi\) | |||||||
\(572\) | −17.4726 | −0.730567 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.10609 | − | 2.60570i | −0.171385 | − | 0.108760i | ||||
\(575\) | − | 13.0118i | − | 0.542628i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.05520 | + | 4.07332i | 0.293712 | + | 0.169575i | 0.639615 | − | 0.768696i | \(-0.279094\pi\) |
−0.345903 | + | 0.938270i | \(0.612427\pi\) | |||||||
\(578\) | 1.66773i | 0.0693683i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 21.5066 | + | 12.4168i | 0.893012 | + | 0.515581i | ||||
\(581\) | 15.5757 | − | 24.5444i | 0.646191 | − | 1.01827i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.2355 | − | 19.4605i | 0.465328 | − | 0.805973i | ||||
\(584\) | −0.568693 | + | 0.985005i | −0.0235327 | + | 0.0407598i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.54270 | − | 0.890680i | 0.0637285 | − | 0.0367937i | ||||
\(587\) | 12.3041 | + | 21.3113i | 0.507843 | + | 0.879610i | 0.999959 | + | 0.00908019i | \(0.00289036\pi\) |
−0.492116 | + | 0.870530i | \(0.663776\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.602354 | + | 1.04331i | −0.0248196 | + | 0.0429888i | ||||
\(590\) | − | 4.21515i | − | 0.173535i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 27.1743 | 1.11686 | ||||||||
\(593\) | −18.9321 | − | 32.7913i | −0.777447 | − | 1.34658i | −0.933409 | − | 0.358814i | \(-0.883181\pi\) |
0.155962 | − | 0.987763i | \(-0.450152\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −27.2236 | − | 1.14053i | −1.11606 | − | 0.0467572i | ||||
\(596\) | 14.0428 | − | 8.10762i | 0.575216 | − | 0.332101i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.77761 | − | 1.02631i | 0.0726920 | − | 0.0419687i | ||||
\(599\) | −9.22572 | + | 5.32647i | −0.376953 | + | 0.217634i | −0.676492 | − | 0.736450i | \(-0.736501\pi\) |
0.299539 | + | 0.954084i | \(0.403167\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −39.8636 | + | 23.0153i | −1.62607 | + | 0.938812i | −0.640821 | + | 0.767691i | \(0.721406\pi\) |
−0.985250 | + | 0.171122i | \(0.945261\pi\) | |||||||
\(602\) | 2.84140 | − | 1.48551i | 0.115807 | − | 0.0605449i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.21161 | + | 5.56267i | 0.130679 | + | 0.226342i | ||||
\(605\) | 12.7996 | 0.520378 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 4.31931i | − | 0.175315i | −0.996151 | − | 0.0876576i | \(-0.972062\pi\) | ||
0.996151 | − | 0.0876576i | \(-0.0279381\pi\) | |||||||
\(608\) | −4.23745 | + | 7.33947i | −0.171851 | + | 0.297655i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.719539 | + | 1.24628i | 0.0291333 | + | 0.0504603i | ||||
\(611\) | 8.22672 | − | 4.74970i | 0.332818 | − | 0.192152i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.3838 | − | 24.9135i | 0.580956 | − | 1.00624i | −0.414411 | − | 0.910090i | \(-0.636012\pi\) |
0.995366 | − | 0.0961549i | \(-0.0306544\pi\) | |||||||
\(614\) | 3.17423 | − | 5.49793i | 0.128102 | − | 0.221878i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.49325 | + | 10.5072i | 0.221329 | + | 0.423346i | ||||
\(617\) | −0.935498 | − | 0.540110i | −0.0376617 | − | 0.0217440i | 0.481051 | − | 0.876693i | \(-0.340255\pi\) |
−0.518713 | + | 0.854949i | \(0.673589\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 7.58787i | − | 0.304982i | −0.988305 | − | 0.152491i | \(-0.951270\pi\) | ||
0.988305 | − | 0.152491i | \(-0.0487295\pi\) | |||||||
\(620\) | −2.39755 | − | 1.38423i | −0.0962881 | − | 0.0555920i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 3.23944i | − | 0.129890i | ||||||
\(623\) | −6.11985 | + | 9.64371i | −0.245187 | + | 0.386367i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −27.7708 | −1.11083 | ||||||||
\(626\) | −1.99158 | − | 3.44952i | −0.0795996 | − | 0.137871i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 27.6904 | + | 15.9871i | 1.10497 | + | 0.637953i | ||||
\(629\) | 26.2082 | 1.04499 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.0387 | 1.39487 | 0.697435 | − | 0.716648i | \(-0.254325\pi\) | ||||
0.697435 | + | 0.716648i | \(0.254325\pi\) | |||||||
\(632\) | −9.24118 | − | 5.33540i | −0.367595 | − | 0.212231i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.63893 | + | 2.83871i | 0.0650903 | + | 0.112740i | ||||
\(635\) | −8.41235 | −0.333834 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.8417 | + | 6.98459i | −0.588048 | + | 0.276739i | ||||
\(638\) | − | 4.85564i | − | 0.192237i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.3015 | − | 12.8758i | −0.881544 | − | 0.508960i | ||||
\(641\) | 31.0879i | 1.22790i | 0.789346 | + | 0.613949i | \(0.210420\pi\) | ||||
−0.789346 | + | 0.613949i | \(0.789580\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.977928 | − | 0.564607i | −0.0385657 | − | 0.0222659i | 0.480593 | − | 0.876944i | \(-0.340421\pi\) |
−0.519159 | + | 0.854678i | \(0.673755\pi\) | |||||||
\(644\) | 12.7424 | + | 8.08627i | 0.502121 | + | 0.318644i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.26011 | + | 2.18257i | −0.0495782 | + | 0.0858719i | ||||
\(647\) | −13.5992 | + | 23.5545i | −0.534640 | + | 0.926023i | 0.464541 | + | 0.885552i | \(0.346219\pi\) |
−0.999181 | + | 0.0404713i | \(0.987114\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.8162 | − | 9.13148i | 0.620839 | − | 0.358442i | ||||
\(650\) | 1.50300 | + | 2.60328i | 0.0589526 | + | 0.102109i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 24.2386 | − | 41.9824i | 0.949256 | − | 1.64416i | ||||
\(653\) | 22.2892i | 0.872243i | 0.899888 | + | 0.436121i | \(0.143648\pi\) | ||||
−0.899888 | + | 0.436121i | \(0.856352\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.8854 | −0.894205 | ||||||||
\(656\) | 10.9123 | + | 18.9007i | 0.426055 | + | 0.737949i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.66128 | − | 1.68883i | −0.103747 | − | 0.0658375i | ||||
\(659\) | 7.69208 | − | 4.44103i | 0.299641 | − | 0.172998i | −0.342641 | − | 0.939467i | \(-0.611321\pi\) |
0.642282 | + | 0.766469i | \(0.277988\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.7724 | − | 9.68352i | 0.652369 | − | 0.376645i | −0.136994 | − | 0.990572i | \(-0.543744\pi\) |
0.789363 | + | 0.613926i | \(0.210411\pi\) | |||||||
\(662\) | 4.84060 | − | 2.79472i | 0.188135 | − | 0.108620i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.9434 | − | 6.31819i | 0.424687 | − | 0.245193i | ||||
\(665\) | 17.4216 | + | 11.0557i | 0.675583 | + | 0.428721i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.31999 | − | 10.9465i | −0.244711 | − | 0.423852i | ||||
\(668\) | −3.35204 | −0.129694 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.41702i | 0.0547444i | ||||||||
\(671\) | −3.11754 | + | 5.39973i | −0.120351 | + | 0.208454i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.5828 | + | 20.0620i | 0.446484 | + | 0.773333i | 0.998154 | − | 0.0607292i | \(-0.0193426\pi\) |
−0.551670 | + | 0.834062i | \(0.686009\pi\) | |||||||
\(674\) | 1.69310 | − | 0.977511i | 0.0652157 | − | 0.0376523i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.18476 | + | 12.4444i | −0.276337 | + | 0.478630i | ||||
\(677\) | −1.56346 | + | 2.70800i | −0.0600887 | + | 0.104077i | −0.894505 | − | 0.447058i | \(-0.852472\pi\) |
0.834416 | + | 0.551135i | \(0.185805\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.8664 | + | 8.16496i | 0.493768 | + | 0.313343i | ||||
\(680\) | −10.2576 | − | 5.92220i | −0.393359 | − | 0.227106i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.541307i | 0.0207277i | ||||||||
\(683\) | −27.1966 | − | 15.7020i | −1.04065 | − | 0.600819i | −0.120632 | − | 0.992697i | \(-0.538492\pi\) |
−0.920017 | + | 0.391878i | \(0.871825\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.3621i | 1.42753i | ||||||||
\(686\) | 4.33532 | + | 3.29033i | 0.165523 | + | 0.125625i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.3892 | −0.548585 | ||||||||
\(689\) | 6.75691 | + | 11.7033i | 0.257418 | + | 0.445860i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 38.2557 | + | 22.0869i | 1.45532 | + | 0.840227i | 0.998775 | − | 0.0494760i | \(-0.0157551\pi\) |
0.456540 | + | 0.889703i | \(0.349088\pi\) | |||||||
\(692\) | 45.7868 | 1.74055 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 7.83164 | 0.297285 | ||||||||
\(695\) | −35.3463 | − | 20.4072i | −1.34076 | − | 0.774089i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.5244 | + | 18.2288i | 0.398640 | + | 0.690465i | ||||
\(698\) | 6.96086 | 0.263472 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −11.8422 | + | 18.6610i | −0.447592 | + | 0.705320i | ||||
\(701\) | 9.69906i | 0.366328i | 0.983082 | + | 0.183164i | \(0.0586340\pi\) | ||||
−0.983082 | + | 0.183164i | \(0.941366\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.1876 | − | 9.92326i | −0.648242 | − | 0.374263i | ||||
\(704\) | − | 23.3840i | − | 0.881316i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.16775 | − | 0.674202i | −0.0439490 | − | 0.0253739i | ||||
\(707\) | 21.0324 | + | 40.2295i | 0.791005 | + | 1.51299i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.548932 | − | 0.950778i | 0.0206156 | − | 0.0357072i | −0.855534 | − | 0.517747i | \(-0.826771\pi\) |
0.876149 | + | 0.482040i | \(0.160104\pi\) | |||||||
\(710\) | −6.12132 | + | 10.6024i | −0.229729 | + | 0.397903i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.29977 | + | 2.48247i | −0.161141 | + | 0.0930346i | ||||
\(713\) | 0.704553 | + | 1.22032i | 0.0263857 | + | 0.0457014i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.9710 | + | 24.1985i | −0.522486 | + | 0.904972i | ||||
\(716\) | − | 48.5815i | − | 1.81558i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.80165 | −0.0672371 | ||||||||
\(719\) | 11.3648 | + | 19.6844i | 0.423835 | + | 0.734103i | 0.996311 | − | 0.0858183i | \(-0.0273505\pi\) |
−0.572476 | + | 0.819921i | \(0.694017\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −23.0241 | + | 12.0372i | −0.857462 | + | 0.448289i | ||||
\(722\) | −3.18269 | + | 1.83753i | −0.118448 | + | 0.0683858i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −37.1280 | + | 21.4359i | −1.37985 | + | 0.796658i | ||||
\(725\) | 16.0310 | − | 9.25550i | 0.595376 | − | 0.343741i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.47919 | − | 2.00871i | 0.129036 | − | 0.0744990i | −0.434093 | − | 0.900868i | \(-0.642931\pi\) |
0.563129 | + | 0.826369i | \(0.309598\pi\) | |||||||
\(728\) | −7.12409 | − | 0.298463i | −0.264036 | − | 0.0110618i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.444689 | + | 0.770224i | 0.0164587 | + | 0.0285073i | ||||
\(731\) | −13.8777 | −0.513285 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.31602i | 0.307159i | 0.988136 | + | 0.153580i | \(0.0490801\pi\) | ||||
−0.988136 | + | 0.153580i | \(0.950920\pi\) | |||||||
\(734\) | −3.88296 | + | 6.72549i | −0.143323 | + | 0.248242i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.95640 | + | 8.58473i | 0.182695 | + | 0.316437i | ||||
\(737\) | −5.31698 | + | 3.06976i | −0.195854 | + | 0.113076i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.28507 | + | 3.95785i | −0.0840576 | + | 0.145592i | −0.904989 | − | 0.425434i | \(-0.860121\pi\) |
0.820932 | + | 0.571026i | \(0.193455\pi\) | |||||||
\(740\) | 22.8040 | − | 39.4976i | 0.838290 | − | 1.45196i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.40253 | − | 3.78592i | 0.0881995 | − | 0.138986i | ||||
\(743\) | −1.51258 | − | 0.873286i | −0.0554910 | − | 0.0320378i | 0.471998 | − | 0.881600i | \(-0.343533\pi\) |
−0.527489 | + | 0.849562i | \(0.676866\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 25.9312i | − | 0.950046i | ||||||
\(746\) | 5.11954 | + | 2.95577i | 0.187440 | + | 0.108218i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 25.0929i | − | 0.917486i | ||||||
\(749\) | 7.75141 | + | 4.91900i | 0.283230 | + | 0.179736i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.83293 | 0.212847 | 0.106423 | − | 0.994321i | \(-0.466060\pi\) | ||||
0.106423 | + | 0.994321i | \(0.466060\pi\) | |||||||
\(752\) | 7.07260 | + | 12.2501i | 0.257911 | + | 0.446715i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.52890 | + | 1.46006i | 0.0920970 | + | 0.0531723i | ||||
\(755\) | 10.2719 | 0.373834 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.0967 | −1.53003 | −0.765015 | − | 0.644013i | \(-0.777268\pi\) | ||||
−0.765015 | + | 0.644013i | \(0.777268\pi\) | |||||||
\(758\) | −4.44255 | − | 2.56491i | −0.161361 | − | 0.0931617i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.48466 | + | 7.76766i | 0.162676 | + | 0.281763i | ||||
\(761\) | −0.586863 | −0.0212738 | −0.0106369 | − | 0.999943i | \(-0.503386\pi\) | ||||
−0.0106369 | + | 0.999943i | \(0.503386\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.23062 | − | 0.135347i | −0.116956 | − | 0.00489988i | ||||
\(764\) | − | 8.20750i | − | 0.296937i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.14208 | + | 4.12348i | 0.258054 | + | 0.148987i | ||||
\(767\) | 10.9831i | 0.396577i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 45.1905 | + | 26.0907i | 1.62961 | + | 0.940856i | 0.984208 | + | 0.177014i | \(0.0566437\pi\) |
0.645403 | + | 0.763843i | \(0.276690\pi\) | |||||||
\(770\) | 9.26306 | + | 0.388075i | 0.333817 | + | 0.0139852i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 22.3369 | − | 38.6887i | 0.803923 | − | 1.39244i | ||||
\(773\) | −16.3906 | + | 28.3894i | −0.589530 | + | 1.02110i | 0.404764 | + | 0.914421i | \(0.367354\pi\) |
−0.994294 | + | 0.106674i | \(0.965980\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.78714 | + | 1.03180i | −0.0641959 | + | 0.0370635i | ||||
\(776\) | 3.31206 | + | 5.73666i | 0.118896 | + | 0.205934i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.03093 | − | 8.71383i | 0.180368 | − | 0.312406i | ||||
\(779\) | − | 15.9395i | − | 0.571090i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −53.0436 | −1.89805 | ||||||||
\(782\) | 1.47390 | + | 2.55287i | 0.0527066 | + | 0.0912906i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −10.4005 | − | 22.1001i | −0.371446 | − | 0.789291i | ||||
\(785\) | 44.2821 | − | 25.5663i | 1.58050 | − | 0.912500i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −35.5013 | + | 20.4967i | −1.26549 | + | 0.730628i | −0.974130 | − | 0.225987i | \(-0.927439\pi\) |
−0.291355 | + | 0.956615i | \(0.594106\pi\) | |||||||
\(788\) | 31.1251 | − | 17.9701i | 1.10879 | − | 0.640158i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.22614 | + | 4.17201i | −0.257095 | + | 0.148434i | ||||
\(791\) | 0.240004 | − | 5.72872i | 0.00853356 | − | 0.203690i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.87485 | − | 3.24733i | −0.0665778 | − | 0.115316i | ||||
\(794\) | −3.83195 | −0.135991 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.68244i | 0.307741i | ||||||||
\(797\) | −17.0441 | + | 29.5213i | −0.603734 | + | 1.04570i | 0.388516 | + | 0.921442i | \(0.372988\pi\) |
−0.992250 | + | 0.124256i | \(0.960346\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.82116 | + | 11.8146i | 0.241315 | + | 0.417971i | ||||
\(800\) | −12.5722 | + | 7.25854i | −0.444493 | + | 0.256628i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.69672 | + | 4.67086i | −0.0952245 | + | 0.164934i | ||||
\(803\) | −1.92670 | + | 3.33714i | −0.0679918 | + | 0.117765i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 21.3877 | − | 11.1817i | 0.753818 | − | 0.394103i | ||||
\(806\) | −0.281922 | − | 0.162768i | −0.00993027 | − | 0.00573324i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 19.7334i | 0.694219i | ||||||||
\(809\) | −6.01547 | − | 3.47304i | −0.211493 | − | 0.122105i | 0.390512 | − | 0.920598i | \(-0.372298\pi\) |
−0.602005 | + | 0.798492i | \(0.705631\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.8573i | 1.39958i | 0.714350 | + | 0.699789i | \(0.246723\pi\) | ||||
−0.714350 | + | 0.699789i | \(0.753277\pi\) | |||||||
\(812\) | −0.898690 | + | 21.4511i | −0.0315379 | + | 0.752785i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.91756 | −0.312560 | ||||||||
\(815\) | −38.7620 | − | 67.1378i | −1.35777 | − | 2.35173i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.10111 | + | 5.25453i | 0.318408 | + | 0.183833i | ||||
\(818\) | −1.90071 | −0.0664566 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 36.6294 | 1.27915 | ||||||||
\(821\) | 36.4612 | + | 21.0509i | 1.27250 | + | 0.734680i | 0.975459 | − | 0.220183i | \(-0.0706655\pi\) |
0.297045 | + | 0.954863i | \(0.403999\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.3411 | − | 28.3035i | −0.569614 | − | 0.986600i | −0.996604 | − | 0.0823435i | \(-0.973760\pi\) |
0.426990 | − | 0.904256i | \(-0.359574\pi\) | |||||||
\(824\) | −11.2938 | −0.393438 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.22948 | − | 1.68840i | 0.112368 | − | 0.0587470i | ||||
\(827\) | 31.4399i | 1.09327i | 0.837370 | + | 0.546637i | \(0.184092\pi\) | ||||
−0.837370 | + | 0.546637i | \(0.815908\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.7122 | + | 20.6185i | 1.24034 | + | 0.716109i | 0.969163 | − | 0.246421i | \(-0.0792547\pi\) |
0.271174 | + | 0.962530i | \(0.412588\pi\) | |||||||
\(830\) | − | 9.88102i | − | 0.342975i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 12.1788 | + | 7.03141i | 0.422222 | + | 0.243770i | ||||
\(833\) | −10.0307 | − | 21.3145i | −0.347544 | − | 0.738502i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.68027 | + | 4.64236i | −0.0927546 | + | 0.160656i | ||||
\(836\) | −9.50094 | + | 16.4561i | −0.328597 | + | 0.569147i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.62173 | − | 2.09100i | 0.125110 | − | 0.0722326i | ||||
\(839\) | −4.04385 | − | 7.00416i | −0.139609 | − | 0.241810i | 0.787740 | − | 0.616009i | \(-0.211251\pi\) |
−0.927349 | + | 0.374198i | \(0.877918\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.50894 | + | 9.54177i | −0.189963 | + | 0.329026i | ||||
\(842\) | 8.91707i | 0.307302i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.1715 | 0.453382 | ||||||||
\(845\) | 11.4898 | + | 19.9009i | 0.395260 | + | 0.684611i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.12695 | + | 9.80654i | 0.176164 | + | 0.336957i | ||||
\(848\) | −17.4269 | + | 10.0615i | −0.598444 | + | 0.345512i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.73863 | + | 2.15850i | −0.128234 | + | 0.0740359i | ||||
\(851\) | −20.1037 | + | 11.6069i | −0.689147 | + | 0.397879i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.5887 | − | 14.1963i | 0.841900 | − | 0.486071i | −0.0160098 | − | 0.999872i | \(-0.505096\pi\) |
0.857910 | + | 0.513801i | \(0.171763\pi\) | |||||||
\(854\) | −0.666631 | + | 1.05048i | −0.0228117 | + | 0.0359468i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.99536 | + | 3.45606i | 0.0682000 | + | 0.118126i | ||||
\(857\) | 51.3174 | 1.75297 | 0.876485 | − | 0.481429i | \(-0.159882\pi\) | ||||
0.876485 | + | 0.481429i | \(0.159882\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 16.7702i | − | 0.572191i | −0.958201 | − | 0.286096i | \(-0.907642\pi\) | ||
0.958201 | − | 0.286096i | \(-0.0923575\pi\) | |||||||
\(860\) | −12.0751 | + | 20.9146i | −0.411756 | + | 0.713183i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.360816 | − | 0.624951i | −0.0122894 | − | 0.0212859i | ||||
\(863\) | −14.2380 | + | 8.22033i | −0.484668 | + | 0.279823i | −0.722360 | − | 0.691517i | \(-0.756943\pi\) |
0.237692 | + | 0.971341i | \(0.423609\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.6109 | − | 63.4119i | 1.24481 | − | 2.15607i | ||||
\(866\) | −1.83000 | + | 3.16965i | −0.0621859 | + | 0.107709i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.100186 | − | 2.39137i | 0.00340054 | − | 0.0811683i | ||||
\(869\) | −31.3086 | − | 18.0760i | −1.06207 | − | 0.613188i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 3.69223i | − | 0.125106i | ||||||
\(872\) | −1.21726 | − | 0.702787i | −0.0412217 | − | 0.0237994i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 2.23226i | − | 0.0755074i | ||||||
\(875\) | −2.38112 | − | 4.55447i | −0.0804965 | − | 0.153969i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.12350 | 0.206776 | 0.103388 | − | 0.994641i | \(-0.467032\pi\) | ||||
0.103388 | + | 0.994641i | \(0.467032\pi\) | |||||||
\(878\) | −2.57577 | − | 4.46137i | −0.0869281 | − | 0.150564i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −36.0330 | − | 20.8037i | −1.21467 | − | 0.701292i | ||||
\(881\) | 41.3283 | 1.39238 | 0.696192 | − | 0.717855i | \(-0.254876\pi\) | ||||
0.696192 | + | 0.717855i | \(0.254876\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 24.2918 | 0.817483 | 0.408741 | − | 0.912650i | \(-0.365968\pi\) | ||||
0.408741 | + | 0.912650i | \(0.365968\pi\) | |||||||
\(884\) | 13.0688 | + | 7.54526i | 0.439550 | + | 0.253775i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.32310 | − | 2.29167i | −0.0444502 | − | 0.0769901i | ||||
\(887\) | −6.70071 | −0.224988 | −0.112494 | − | 0.993652i | \(-0.535884\pi\) | ||||
−0.112494 | + | 0.993652i | \(0.535884\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.36961 | − | 6.44520i | −0.113013 | − | 0.216165i | ||||
\(890\) | 3.88234i | 0.130136i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.6624 | + | 6.15591i | 0.357002 | + | 0.206115i | ||||
\(893\) | − | 10.3308i | − | 0.345708i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −67.2823 | − | 38.8455i | −2.24900 | − | 1.29846i | ||||
\(896\) | 0.931908 | − | 22.2440i | 0.0311329 | − | 0.743118i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.52735 | − | 7.84160i | 0.151080 | − | 0.261678i | ||||
\(899\) | −1.00232 | + | 1.73608i | −0.0334294 | + | 0.0579014i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.8074 | + | 9.70376i | −0.559936 | + | 0.323279i | ||||
\(902\) | −3.58101 | − | 6.20249i | −0.119235 | − | 0.206520i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.24622 | − | 2.15852i | 0.0414487 | − | 0.0717912i | ||||
\(905\) | 68.5600i | 2.27901i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.2988 | 0.674010 | 0.337005 | − | 0.941503i | \(-0.390586\pi\) | ||||
0.337005 | + | 0.941503i | \(0.390586\pi\) | |||||||
\(908\) | −18.8873 | − | 32.7138i | −0.626798 | − | 1.08565i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.98746 | + | 4.70766i | −0.0990332 | + | 0.156057i | ||||
\(911\) | 30.3982 | − | 17.5504i | 1.00714 | − | 0.581472i | 0.0967861 | − | 0.995305i | \(-0.469144\pi\) |
0.910353 | + | 0.413833i | \(0.135810\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 37.0757 | − | 21.4057i | 1.22703 | − | 0.708425i | ||||
\(914\) | −3.51936 | + | 2.03190i | −0.116410 | + | 0.0672093i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.0756 | + | 10.4359i | −0.597233 | + | 0.344813i | ||||
\(917\) | −9.16685 | − | 17.5338i | −0.302716 | − | 0.579018i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.9132 | − | 29.2946i | −0.557916 | − | 0.966339i | −0.997670 | − | 0.0682206i | \(-0.978268\pi\) |
0.439754 | − | 0.898118i | \(-0.355066\pi\) | |||||||
\(920\) | 10.4911 | 0.345882 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.62629i | 0.119425i | ||||||||
\(923\) | 15.9499 | − | 27.6260i | 0.524996 | − | 0.909320i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.9981 | − | 29.4415i | −0.558893 | − | 0.968031i | ||||
\(926\) | 3.24639 | − | 1.87431i | 0.106683 | − | 0.0615935i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.05115 | + | 12.2130i | −0.231465 | + | 0.400910i | ||||
\(929\) | −16.0586 | + | 27.8142i | −0.526864 | + | 0.912555i | 0.472646 | + | 0.881252i | \(0.343299\pi\) |
−0.999510 | + | 0.0313029i | \(0.990034\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.49208 | + | 17.7762i | −0.0489009 | + | 0.582590i | ||||
\(932\) | −34.4348 | − | 19.8810i | −1.12795 | − | 0.651222i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 3.22668i | − | 0.105580i | ||||||
\(935\) | −34.7520 | − | 20.0641i | −1.13651 | − | 0.656166i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 13.9224i | − | 0.454824i | −0.973799 | − | 0.227412i | \(-0.926974\pi\) | ||
0.973799 | − | 0.227412i | \(-0.0730263\pi\) | |||||||
\(938\) | −1.08567 | + | 0.567596i | −0.0354482 | + | 0.0185327i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 23.7405 | 0.774331 | ||||||||
\(941\) | −28.6047 | − | 49.5448i | −0.932487 | − | 1.61512i | −0.779054 | − | 0.626956i | \(-0.784300\pi\) |
−0.153433 | − | 0.988159i | \(-0.549033\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16.1460 | − | 9.32192i | −0.525787 | − | 0.303563i | ||||
\(944\) | −16.3545 | −0.532294 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.72200 | 0.153525 | ||||||||
\(947\) | −29.8658 | − | 17.2430i | −0.970509 | − | 0.560324i | −0.0711175 | − | 0.997468i | \(-0.522657\pi\) |
−0.899391 | + | 0.437144i | \(0.855990\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.15869 | − | 2.00691i | −0.0376128 | − | 0.0651472i | ||||
\(950\) | 3.26910 | 0.106064 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.428630 | − | 10.2311i | 0.0138920 | − | 0.331591i | ||||
\(953\) | − | 2.58761i | − | 0.0838209i | −0.999121 | − | 0.0419104i | \(-0.986656\pi\) | ||
0.999121 | − | 0.0419104i | \(-0.0133444\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.3669 | − | 6.56267i | −0.367824 | − | 0.212363i | ||||
\(956\) | 52.3119i | 1.69189i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.84900 | + | 1.64487i | 0.0920470 | + | 0.0531434i | ||||
\(959\) | −28.6253 | + | 14.9656i | −0.924360 | + | 0.483264i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.3883 | + | 26.6532i | −0.496396 | + | 0.859782i | ||||
\(962\) | 2.68145 | − | 4.64441i | 0.0864535 | − | 0.149742i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −35.3426 | + | 20.4051i | −1.13831 | + | 0.657203i | ||||
\(965\) | −35.7209 | − | 61.8704i | −1.14990 | − | 1.99168i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.79472 | − | 4.84059i | 0.0898721 | − | 0.155663i | −0.817585 | − | 0.575808i | \(-0.804688\pi\) |
0.907457 | + | 0.420145i | \(0.138021\pi\) | |||||||
\(968\) | 4.81030i | 0.154609i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.17973 | 0.166311 | ||||||||
\(971\) | 8.01661 | + | 13.8852i | 0.257265 | + | 0.445597i | 0.965508 | − | 0.260372i | \(-0.0838452\pi\) |
−0.708243 | + | 0.705969i | \(0.750512\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.47701 | − | 35.2551i | 0.0473507 | − | 1.13023i | ||||
\(974\) | −0.755007 | + | 0.435904i | −0.0241920 | + | 0.0139673i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.83547 | − | 2.79176i | 0.154780 | − | 0.0893621i | ||||
\(977\) | 38.0208 | − | 21.9513i | 1.21639 | − | 0.702285i | 0.252248 | − | 0.967663i | \(-0.418830\pi\) |
0.964144 | + | 0.265378i | \(0.0854967\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.5674 | + | 8.41048i | −0.465576 | + | 0.268800i | ||||
\(980\) | −40.8502 | − | 3.42884i | −1.30491 | − | 0.109530i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.42377 | + | 5.93015i | 0.109257 | + | 0.189239i | ||||
\(983\) | 18.1762 | 0.579730 | 0.289865 | − | 0.957068i | \(-0.406390\pi\) | ||||
0.289865 | + | 0.957068i | \(0.406390\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 57.4751i | − | 1.83131i | ||||||
\(986\) | −2.09683 | + | 3.63181i | −0.0667766 | + | 0.115660i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.71374 | − | 9.89649i | −0.181778 | − | 0.314849i | ||||
\(989\) | 10.6453 | − | 6.14604i | 0.338499 | − | 0.195433i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.8146 | + | 41.2481i | −0.756496 | + | 1.31029i | 0.188131 | + | 0.982144i | \(0.439757\pi\) |
−0.944627 | + | 0.328145i | \(0.893576\pi\) | |||||||
\(992\) | 0.786063 | − | 1.36150i | 0.0249575 | − | 0.0432277i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −10.5751 | − | 0.443042i | −0.335421 | − | 0.0140524i | ||||
\(995\) | 12.0246 | + | 6.94242i | 0.381206 | + | 0.220090i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.8902i | 1.04164i | 0.853666 | + | 0.520822i | \(0.174374\pi\) | ||||
−0.853666 | + | 0.520822i | \(0.825626\pi\) | |||||||
\(998\) | −1.16711 | − | 0.673830i | −0.0369442 | − | 0.0213297i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))