Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), degree \(6\), 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | 12.0.74049191673856.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 2x^{10} + 4x^{8} + 8x^{6} + 16x^{4} + 32x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 645.1 | ||
Root | \(0.881748 - 1.10568i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.645 |
Dual form | 841.2.d.j.605.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0921712 | − | 0.403828i | −0.0651749 | − | 0.285550i | 0.931829 | − | 0.362897i | \(-0.118212\pi\) |
−0.997004 | + | 0.0773470i | \(0.975355\pi\) | |||||||
\(3\) | 0.373194 | + | 0.179721i | 0.215463 | + | 0.103762i | 0.538502 | − | 0.842624i | \(-0.318990\pi\) |
−0.323039 | + | 0.946386i | \(0.604705\pi\) | |||||||
\(4\) | 1.64736 | − | 0.793325i | 0.823678 | − | 0.396662i | ||||
\(5\) | 0.222521 | + | 0.974928i | 0.0995144 | + | 0.436001i | 0.999999 | + | 0.00111393i | \(0.000354575\pi\) |
−0.900485 | + | 0.434887i | \(0.856788\pi\) | |||||||
\(6\) | 0.0381786 | − | 0.167271i | 0.0155863 | − | 0.0682882i | ||||
\(7\) | −2.54832 | − | 1.22721i | −0.963176 | − | 0.463841i | −0.114889 | − | 0.993378i | \(-0.536651\pi\) |
−0.848287 | + | 0.529537i | \(0.822366\pi\) | |||||||
\(8\) | −0.988722 | − | 1.23982i | −0.349566 | − | 0.438342i | ||||
\(9\) | −1.76350 | − | 2.21135i | −0.587832 | − | 0.737118i | ||||
\(10\) | 0.373194 | − | 0.179721i | 0.118014 | − | 0.0568326i | ||||
\(11\) | 1.50524 | − | 1.88751i | 0.453846 | − | 0.569105i | −0.501287 | − | 0.865281i | \(-0.667140\pi\) |
0.955133 | + | 0.296176i | \(0.0957114\pi\) | |||||||
\(12\) | 0.757359 | 0.218631 | ||||||||
\(13\) | 1.14001 | − | 1.42952i | 0.316181 | − | 0.396478i | −0.598191 | − | 0.801353i | \(-0.704114\pi\) |
0.914372 | + | 0.404875i | \(0.132685\pi\) | |||||||
\(14\) | −0.260699 | + | 1.14220i | −0.0696749 | + | 0.305266i | ||||
\(15\) | −0.0921712 | + | 0.403828i | −0.0237985 | + | 0.104268i | ||||
\(16\) | 1.87047 | − | 2.34549i | 0.467617 | − | 0.586374i | ||||
\(17\) | −4.82843 | −1.17107 | −0.585533 | − | 0.810649i | \(-0.699115\pi\) | ||||
−0.585533 | + | 0.810649i | \(0.699115\pi\) | |||||||
\(18\) | −0.730464 | + | 0.915973i | −0.172172 | + | 0.215897i | ||||
\(19\) | −5.40581 | + | 2.60330i | −1.24018 | + | 0.597239i | −0.934862 | − | 0.355012i | \(-0.884477\pi\) |
−0.305317 | + | 0.952251i | \(0.598762\pi\) | |||||||
\(20\) | 1.14001 | + | 1.42952i | 0.254913 | + | 0.319651i | ||||
\(21\) | −0.730464 | − | 0.915973i | −0.159400 | − | 0.199882i | ||||
\(22\) | −0.900969 | − | 0.433884i | −0.192087 | − | 0.0925043i | ||||
\(23\) | 1.70381 | − | 7.46488i | 0.355269 | − | 1.55654i | −0.409549 | − | 0.912288i | \(-0.634314\pi\) |
0.764818 | − | 0.644247i | \(-0.222829\pi\) | |||||||
\(24\) | −0.146164 | − | 0.640386i | −0.0298356 | − | 0.130718i | ||||
\(25\) | 3.60388 | − | 1.73553i | 0.720775 | − | 0.347107i | ||||
\(26\) | −0.682357 | − | 0.328606i | −0.133821 | − | 0.0644449i | ||||
\(27\) | −0.537213 | − | 2.35368i | −0.103387 | − | 0.452967i | ||||
\(28\) | −5.17157 | −0.977335 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 0.171573 | 0.0313248 | ||||||||
\(31\) | 0.905898 | + | 3.96900i | 0.162704 | + | 0.712853i | 0.988790 | + | 0.149310i | \(0.0477051\pi\) |
−0.826086 | + | 0.563543i | \(0.809438\pi\) | |||||||
\(32\) | −3.97707 | − | 1.91526i | −0.703053 | − | 0.338573i | ||||
\(33\) | 0.900969 | − | 0.433884i | 0.156839 | − | 0.0755295i | ||||
\(34\) | 0.445042 | + | 1.94986i | 0.0763241 | + | 0.334398i | ||||
\(35\) | 0.629384 | − | 2.75751i | 0.106385 | − | 0.466105i | ||||
\(36\) | −4.65943 | − | 2.24386i | −0.776571 | − | 0.373977i | ||||
\(37\) | −2.49396 | − | 3.12733i | −0.410004 | − | 0.514129i | 0.533360 | − | 0.845889i | \(-0.320929\pi\) |
−0.943364 | + | 0.331759i | \(0.892358\pi\) | |||||||
\(38\) | 1.54955 | + | 1.94307i | 0.251370 | + | 0.315208i | ||||
\(39\) | 0.682357 | − | 0.328606i | 0.109265 | − | 0.0526191i | ||||
\(40\) | 0.988722 | − | 1.23982i | 0.156331 | − | 0.196032i | ||||
\(41\) | 12.4853 | 1.94987 | 0.974937 | − | 0.222483i | \(-0.0714160\pi\) | ||||
0.974937 | + | 0.222483i | \(0.0714160\pi\) | |||||||
\(42\) | −0.302568 | + | 0.379408i | −0.0466873 | + | 0.0585440i | ||||
\(43\) | −1.42730 | + | 6.25340i | −0.217661 | + | 0.953634i | 0.741540 | + | 0.670908i | \(0.234096\pi\) |
−0.959201 | + | 0.282725i | \(0.908761\pi\) | |||||||
\(44\) | 0.982255 | − | 4.30354i | 0.148081 | − | 0.648783i | ||||
\(45\) | 1.76350 | − | 2.21135i | 0.262886 | − | 0.329649i | ||||
\(46\) | −3.17157 | −0.467623 | ||||||||
\(47\) | 3.26873 | − | 4.09886i | 0.476794 | − | 0.597880i | −0.484026 | − | 0.875053i | \(-0.660826\pi\) |
0.960820 | + | 0.277173i | \(0.0893975\pi\) | |||||||
\(48\) | 1.11958 | − | 0.539162i | 0.161598 | − | 0.0778213i | ||||
\(49\) | 0.623490 | + | 0.781831i | 0.0890700 | + | 0.111690i | ||||
\(50\) | −1.03303 | − | 1.29538i | −0.146093 | − | 0.183195i | ||||
\(51\) | −1.80194 | − | 0.867767i | −0.252322 | − | 0.121512i | ||||
\(52\) | 0.743920 | − | 3.25933i | 0.103163 | − | 0.451987i | ||||
\(53\) | 1.66563 | + | 7.29761i | 0.228792 | + | 1.00240i | 0.950626 | + | 0.310338i | \(0.100442\pi\) |
−0.721834 | + | 0.692066i | \(0.756701\pi\) | |||||||
\(54\) | −0.900969 | + | 0.433884i | −0.122606 | + | 0.0590441i | ||||
\(55\) | 2.17513 | + | 1.04749i | 0.293295 | + | 0.141243i | ||||
\(56\) | 0.998069 | + | 4.37283i | 0.133373 | + | 0.584343i | ||||
\(57\) | −2.48528 | −0.329184 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.65685 | 0.996838 | 0.498419 | − | 0.866936i | \(-0.333914\pi\) | ||||
0.498419 | + | 0.866936i | \(0.333914\pi\) | |||||||
\(60\) | 0.168528 | + | 0.738371i | 0.0217569 | + | 0.0953233i | ||||
\(61\) | −0.746387 | − | 0.359441i | −0.0955651 | − | 0.0460217i | 0.385491 | − | 0.922712i | \(-0.374032\pi\) |
−0.481056 | + | 0.876690i | \(0.659747\pi\) | |||||||
\(62\) | 1.51930 | − | 0.731654i | 0.192951 | − | 0.0929202i | ||||
\(63\) | 1.78017 | + | 7.79942i | 0.224280 | + | 0.982635i | ||||
\(64\) | 0.928262 | − | 4.06698i | 0.116033 | − | 0.508373i | ||||
\(65\) | 1.64736 | + | 0.793325i | 0.204329 | + | 0.0983998i | ||||
\(66\) | −0.258258 | − | 0.323845i | −0.0317894 | − | 0.0398626i | ||||
\(67\) | −3.52699 | − | 4.42271i | −0.430891 | − | 0.540320i | 0.518226 | − | 0.855243i | \(-0.326592\pi\) |
−0.949117 | + | 0.314924i | \(0.898021\pi\) | |||||||
\(68\) | −7.95414 | + | 3.83051i | −0.964581 | + | 0.464518i | ||||
\(69\) | 1.97744 | − | 2.47964i | 0.238056 | − | 0.298513i | ||||
\(70\) | −1.17157 | −0.140030 | ||||||||
\(71\) | −1.97744 | + | 2.47964i | −0.234679 | + | 0.294279i | −0.885201 | − | 0.465209i | \(-0.845979\pi\) |
0.650521 | + | 0.759488i | \(0.274550\pi\) | |||||||
\(72\) | −0.998069 | + | 4.37283i | −0.117624 | + | 0.515342i | ||||
\(73\) | −0.890084 | + | 3.89971i | −0.104176 | + | 0.456427i | 0.895753 | + | 0.444552i | \(0.146637\pi\) |
−0.999929 | + | 0.0118748i | \(0.996220\pi\) | |||||||
\(74\) | −1.03303 | + | 1.29538i | −0.120087 | + | 0.150585i | ||||
\(75\) | 1.65685 | 0.191317 | ||||||||
\(76\) | −6.84003 | + | 8.57713i | −0.784606 | + | 0.983864i | ||||
\(77\) | −6.15220 | + | 2.96274i | −0.701108 | + | 0.337636i | ||||
\(78\) | −0.195594 | − | 0.245267i | −0.0221467 | − | 0.0277710i | ||||
\(79\) | 0.258258 | + | 0.323845i | 0.0290563 | + | 0.0364354i | 0.796147 | − | 0.605103i | \(-0.206868\pi\) |
−0.767091 | + | 0.641538i | \(0.778297\pi\) | |||||||
\(80\) | 2.70291 | + | 1.30165i | 0.302194 | + | 0.145529i | ||||
\(81\) | −1.66563 | + | 7.29761i | −0.185070 | + | 0.810846i | ||||
\(82\) | −1.15078 | − | 5.04191i | −0.127083 | − | 0.556786i | ||||
\(83\) | 3.29471 | − | 1.58665i | 0.361642 | − | 0.174157i | −0.244235 | − | 0.969716i | \(-0.578537\pi\) |
0.605877 | + | 0.795559i | \(0.292823\pi\) | |||||||
\(84\) | −1.93000 | − | 0.929438i | −0.210580 | − | 0.101410i | ||||
\(85\) | −1.07443 | − | 4.70737i | −0.116538 | − | 0.510586i | ||||
\(86\) | 2.65685 | 0.286496 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.82843 | −0.408112 | ||||||||
\(89\) | −0.998069 | − | 4.37283i | −0.105795 | − | 0.463519i | −0.999878 | − | 0.0156172i | \(-0.995029\pi\) |
0.894083 | − | 0.447901i | \(-0.147828\pi\) | |||||||
\(90\) | −1.05555 | − | 0.508326i | −0.111265 | − | 0.0535823i | ||||
\(91\) | −4.65943 | + | 2.24386i | −0.488441 | + | 0.235221i | ||||
\(92\) | −3.11529 | − | 13.6490i | −0.324792 | − | 1.42301i | ||||
\(93\) | −0.375235 | + | 1.64401i | −0.0389101 | + | 0.170476i | ||||
\(94\) | −1.95652 | − | 0.942210i | −0.201800 | − | 0.0971816i | ||||
\(95\) | −3.74094 | − | 4.69099i | −0.383812 | − | 0.481285i | ||||
\(96\) | −1.14001 | − | 1.42952i | −0.116351 | − | 0.145900i | ||||
\(97\) | 11.2488 | − | 5.41716i | 1.14215 | − | 0.550029i | 0.235482 | − | 0.971879i | \(-0.424333\pi\) |
0.906666 | + | 0.421849i | \(0.138619\pi\) | |||||||
\(98\) | 0.258258 | − | 0.323845i | 0.0260880 | − | 0.0327133i | ||||
\(99\) | −6.82843 | −0.686283 | ||||||||
\(100\) | 4.56002 | − | 5.71809i | 0.456002 | − | 0.571809i | ||||
\(101\) | 3.03894 | − | 13.3144i | 0.302385 | − | 1.32484i | −0.564130 | − | 0.825686i | \(-0.690788\pi\) |
0.866515 | − | 0.499151i | \(-0.166355\pi\) | |||||||
\(102\) | −0.184342 | + | 0.807657i | −0.0182526 | + | 0.0799699i | ||||
\(103\) | 0.516516 | − | 0.647690i | 0.0508938 | − | 0.0638188i | −0.755733 | − | 0.654880i | \(-0.772719\pi\) |
0.806627 | + | 0.591061i | \(0.201291\pi\) | |||||||
\(104\) | −2.89949 | −0.284319 | ||||||||
\(105\) | 0.730464 | − | 0.915973i | 0.0712860 | − | 0.0893898i | ||||
\(106\) | 2.79346 | − | 1.34526i | 0.271325 | − | 0.130663i | ||||
\(107\) | −5.71838 | − | 7.17062i | −0.552817 | − | 0.693210i | 0.424395 | − | 0.905477i | \(-0.360487\pi\) |
−0.977212 | + | 0.212267i | \(0.931915\pi\) | |||||||
\(108\) | −2.75222 | − | 3.45117i | −0.264832 | − | 0.332089i | ||||
\(109\) | −1.21013 | − | 0.582769i | −0.115910 | − | 0.0558192i | 0.375030 | − | 0.927013i | \(-0.377632\pi\) |
−0.490940 | + | 0.871193i | \(0.663347\pi\) | |||||||
\(110\) | 0.222521 | − | 0.974928i | 0.0212165 | − | 0.0929557i | ||||
\(111\) | −0.368685 | − | 1.61531i | −0.0349940 | − | 0.153319i | ||||
\(112\) | −7.64497 | + | 3.68163i | −0.722382 | + | 0.347881i | ||||
\(113\) | −8.39136 | − | 4.04107i | −0.789393 | − | 0.380152i | −0.00466273 | − | 0.999989i | \(-0.501484\pi\) |
−0.784730 | + | 0.619838i | \(0.787198\pi\) | |||||||
\(114\) | 0.229071 | + | 1.00363i | 0.0214545 | + | 0.0939983i | ||||
\(115\) | 7.65685 | 0.714005 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.17157 | −0.478112 | ||||||||
\(118\) | −0.705741 | − | 3.09205i | −0.0649688 | − | 0.284647i | ||||
\(119\) | 12.3044 | + | 5.92549i | 1.12794 | + | 0.543189i | ||||
\(120\) | 0.591805 | − | 0.284998i | 0.0540242 | − | 0.0260167i | ||||
\(121\) | 1.15078 | + | 5.04191i | 0.104617 | + | 0.458356i | ||||
\(122\) | −0.0763571 | + | 0.334542i | −0.00691305 | + | 0.0302880i | ||||
\(123\) | 4.65943 | + | 2.24386i | 0.420126 | + | 0.202322i | ||||
\(124\) | 4.64104 | + | 5.81968i | 0.416778 | + | 0.522623i | ||||
\(125\) | 5.61141 | + | 7.03648i | 0.501900 | + | 0.629362i | ||||
\(126\) | 2.98555 | − | 1.43776i | 0.265974 | − | 0.128086i | ||||
\(127\) | −9.76189 | + | 12.2410i | −0.866228 | + | 1.08622i | 0.129287 | + | 0.991607i | \(0.458731\pi\) |
−0.995515 | + | 0.0946078i | \(0.969840\pi\) | |||||||
\(128\) | −10.5563 | −0.933058 | ||||||||
\(129\) | −1.65652 | + | 2.07721i | −0.145849 | + | 0.182888i | ||||
\(130\) | 0.168528 | − | 0.738371i | 0.0147809 | − | 0.0647594i | ||||
\(131\) | 0.292328 | − | 1.28077i | 0.0255408 | − | 0.111901i | −0.960551 | − | 0.278105i | \(-0.910294\pi\) |
0.986091 | + | 0.166203i | \(0.0531508\pi\) | |||||||
\(132\) | 1.14001 | − | 1.42952i | 0.0992248 | − | 0.124424i | ||||
\(133\) | 16.9706 | 1.47153 | ||||||||
\(134\) | −1.46093 | + | 1.83195i | −0.126205 | + | 0.158256i | ||||
\(135\) | 2.17513 | − | 1.04749i | 0.187205 | − | 0.0901534i | ||||
\(136\) | 4.77397 | + | 5.98637i | 0.409365 | + | 0.513327i | ||||
\(137\) | 7.48188 | + | 9.38198i | 0.639220 | + | 0.801556i | 0.990905 | − | 0.134562i | \(-0.0429627\pi\) |
−0.351685 | + | 0.936118i | \(0.614391\pi\) | |||||||
\(138\) | −1.18361 | − | 0.569997i | −0.100756 | − | 0.0485213i | ||||
\(139\) | −3.11529 | + | 13.6490i | −0.264236 | + | 1.15769i | 0.652370 | + | 0.757900i | \(0.273775\pi\) |
−0.916606 | + | 0.399792i | \(0.869082\pi\) | |||||||
\(140\) | −1.15078 | − | 5.04191i | −0.0972589 | − | 0.426119i | ||||
\(141\) | 1.95652 | − | 0.942210i | 0.164769 | − | 0.0793484i | ||||
\(142\) | 1.18361 | + | 0.569997i | 0.0993264 | + | 0.0478331i | ||||
\(143\) | −0.982255 | − | 4.30354i | −0.0821403 | − | 0.359880i | ||||
\(144\) | −8.48528 | −0.707107 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.65685 | 0.137122 | ||||||||
\(147\) | 0.0921712 | + | 0.403828i | 0.00760215 | + | 0.0333072i | ||||
\(148\) | −6.58942 | − | 3.17330i | −0.541647 | − | 0.260844i | ||||
\(149\) | 1.95652 | − | 0.942210i | 0.160284 | − | 0.0771889i | −0.352022 | − | 0.935992i | \(-0.614506\pi\) |
0.512306 | + | 0.858803i | \(0.328791\pi\) | |||||||
\(150\) | −0.152714 | − | 0.669085i | −0.0124691 | − | 0.0546305i | ||||
\(151\) | −3.14692 | + | 13.7876i | −0.256093 | + | 1.12202i | 0.669296 | + | 0.742996i | \(0.266596\pi\) |
−0.925389 | + | 0.379020i | \(0.876261\pi\) | |||||||
\(152\) | 8.57247 | + | 4.12828i | 0.695319 | + | 0.334848i | ||||
\(153\) | 8.51491 | + | 10.6774i | 0.688390 | + | 0.863213i | ||||
\(154\) | 1.76350 | + | 2.21135i | 0.142107 | + | 0.178196i | ||||
\(155\) | −3.66791 | + | 1.76637i | −0.294613 | + | 0.141878i | ||||
\(156\) | 0.863394 | − | 1.08266i | 0.0691268 | − | 0.0866823i | ||||
\(157\) | −8.48528 | −0.677199 | −0.338600 | − | 0.940931i | \(-0.609953\pi\) | ||||
−0.338600 | + | 0.940931i | \(0.609953\pi\) | |||||||
\(158\) | 0.106974 | − | 0.134141i | 0.00851039 | − | 0.0106717i | ||||
\(159\) | −0.689927 | + | 3.02277i | −0.0547148 | + | 0.239721i | ||||
\(160\) | 0.982255 | − | 4.30354i | 0.0776541 | − | 0.340225i | ||||
\(161\) | −13.5028 | + | 16.9320i | −1.06417 | + | 1.33443i | ||||
\(162\) | 3.10051 | 0.243599 | ||||||||
\(163\) | 11.2671 | − | 14.1285i | 0.882509 | − | 1.10663i | −0.111106 | − | 0.993809i | \(-0.535439\pi\) |
0.993615 | − | 0.112823i | \(-0.0359894\pi\) | |||||||
\(164\) | 20.5677 | − | 9.90488i | 1.60607 | − | 0.773441i | ||||
\(165\) | 0.623490 | + | 0.781831i | 0.0485386 | + | 0.0608655i | ||||
\(166\) | −0.944412 | − | 1.18425i | −0.0733006 | − | 0.0919160i | ||||
\(167\) | 7.95414 | + | 3.83051i | 0.615510 | + | 0.296414i | 0.715541 | − | 0.698570i | \(-0.246180\pi\) |
−0.100032 | + | 0.994984i | \(0.531894\pi\) | |||||||
\(168\) | −0.413414 | + | 1.81128i | −0.0318956 | + | 0.139744i | ||||
\(169\) | 2.14885 | + | 9.41474i | 0.165296 | + | 0.724211i | ||||
\(170\) | −1.80194 | + | 0.867767i | −0.138202 | + | 0.0665547i | ||||
\(171\) | 15.2899 | + | 7.36325i | 1.16925 | + | 0.563082i | ||||
\(172\) | 2.60971 | + | 11.4339i | 0.198988 | + | 0.871825i | ||||
\(173\) | 23.6569 | 1.79860 | 0.899299 | − | 0.437335i | \(-0.144078\pi\) | ||||
0.899299 | + | 0.437335i | \(0.144078\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.3137 | −0.855236 | ||||||||
\(176\) | −1.61164 | − | 7.06105i | −0.121482 | − | 0.532247i | ||||
\(177\) | 2.85749 | + | 1.37609i | 0.214782 | + | 0.103434i | ||||
\(178\) | −1.67388 | + | 0.806097i | −0.125462 | + | 0.0604195i | ||||
\(179\) | −2.33319 | − | 10.2224i | −0.174391 | − | 0.764058i | −0.984156 | − | 0.177303i | \(-0.943263\pi\) |
0.809765 | − | 0.586754i | \(-0.199595\pi\) | |||||||
\(180\) | 1.15078 | − | 5.04191i | 0.0857743 | − | 0.375802i | ||||
\(181\) | 12.8962 | + | 6.21049i | 0.958567 | + | 0.461622i | 0.846682 | − | 0.532099i | \(-0.178597\pi\) |
0.111886 | + | 0.993721i | \(0.464311\pi\) | |||||||
\(182\) | 1.33560 | + | 1.67479i | 0.0990012 | + | 0.124144i | ||||
\(183\) | −0.213948 | − | 0.268282i | −0.0158155 | − | 0.0198320i | ||||
\(184\) | −10.9397 | + | 5.26828i | −0.806484 | + | 0.388382i | ||||
\(185\) | 2.49396 | − | 3.12733i | 0.183360 | − | 0.229926i | ||||
\(186\) | 0.698485 | 0.0512154 | ||||||||
\(187\) | −7.26793 | + | 9.11370i | −0.531484 | + | 0.666459i | ||||
\(188\) | 2.13304 | − | 9.34545i | 0.155568 | − | 0.681587i | ||||
\(189\) | −1.51947 | + | 6.65722i | −0.110525 | + | 0.484242i | ||||
\(190\) | −1.54955 | + | 1.94307i | −0.112416 | + | 0.140965i | ||||
\(191\) | 2.68629 | 0.194373 | 0.0971866 | − | 0.995266i | \(-0.469016\pi\) | ||||
0.0971866 | + | 0.995266i | \(0.469016\pi\) | |||||||
\(192\) | 1.07734 | − | 1.35094i | 0.0777504 | − | 0.0974960i | ||||
\(193\) | 9.75608 | − | 4.69828i | 0.702258 | − | 0.338189i | −0.0484485 | − | 0.998826i | \(-0.515428\pi\) |
0.750706 | + | 0.660636i | \(0.229713\pi\) | |||||||
\(194\) | −3.22442 | − | 4.04330i | −0.231500 | − | 0.290292i | ||||
\(195\) | 0.472206 | + | 0.592127i | 0.0338154 | + | 0.0424031i | ||||
\(196\) | 1.64736 | + | 0.793325i | 0.117668 | + | 0.0566661i | ||||
\(197\) | −0.445042 | + | 1.94986i | −0.0317079 | + | 0.138921i | −0.988304 | − | 0.152495i | \(-0.951269\pi\) |
0.956596 | + | 0.291416i | \(0.0941264\pi\) | |||||||
\(198\) | 0.629384 | + | 2.75751i | 0.0447284 | + | 0.195968i | ||||
\(199\) | −14.8527 | + | 7.15270i | −1.05288 | + | 0.507041i | −0.878552 | − | 0.477646i | \(-0.841490\pi\) |
−0.174330 | + | 0.984687i | \(0.555776\pi\) | |||||||
\(200\) | −5.71498 | − | 2.75219i | −0.404110 | − | 0.194609i | ||||
\(201\) | −0.521399 | − | 2.28440i | −0.0367766 | − | 0.161129i | ||||
\(202\) | −5.65685 | −0.398015 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.65685 | −0.256031 | ||||||||
\(205\) | 2.77824 | + | 12.1722i | 0.194040 | + | 0.850147i | ||||
\(206\) | −0.309164 | − | 0.148885i | −0.0215405 | − | 0.0103733i | ||||
\(207\) | −19.5122 | + | 9.39656i | −1.35619 | + | 0.653106i | ||||
\(208\) | −1.22059 | − | 5.34775i | −0.0846327 | − | 0.370800i | ||||
\(209\) | −3.22328 | + | 14.1221i | −0.222959 | + | 0.976846i | ||||
\(210\) | −0.437223 | − | 0.210556i | −0.0301713 | − | 0.0145297i | ||||
\(211\) | 10.8392 | + | 13.5920i | 0.746203 | + | 0.935709i | 0.999498 | − | 0.0316797i | \(-0.0100856\pi\) |
−0.253295 | + | 0.967389i | \(0.581514\pi\) | |||||||
\(212\) | 8.53326 | + | 10.7004i | 0.586067 | + | 0.734905i | ||||
\(213\) | −1.18361 | + | 0.569997i | −0.0810997 | + | 0.0390555i | ||||
\(214\) | −2.36863 | + | 2.97017i | −0.161916 | + | 0.203037i | ||||
\(215\) | −6.41421 | −0.437446 | ||||||||
\(216\) | −2.38699 | + | 2.99318i | −0.162414 | + | 0.203660i | ||||
\(217\) | 2.56227 | − | 11.2260i | 0.173938 | − | 0.762072i | ||||
\(218\) | −0.123799 | + | 0.542400i | −0.00838475 | + | 0.0367360i | ||||
\(219\) | −1.03303 | + | 1.29538i | −0.0698058 | + | 0.0875337i | ||||
\(220\) | 4.41421 | 0.297606 | ||||||||
\(221\) | −5.50443 | + | 6.90234i | −0.370268 | + | 0.464302i | ||||
\(222\) | −0.618327 | + | 0.297771i | −0.0414994 | + | 0.0199851i | ||||
\(223\) | −5.50443 | − | 6.90234i | −0.368604 | − | 0.462215i | 0.562591 | − | 0.826735i | \(-0.309804\pi\) |
−0.931196 | + | 0.364520i | \(0.881233\pi\) | |||||||
\(224\) | 7.78445 | + | 9.76139i | 0.520120 | + | 0.652210i | ||||
\(225\) | −10.1933 | − | 4.90883i | −0.679553 | − | 0.327256i | ||||
\(226\) | −0.858456 | + | 3.76114i | −0.0571036 | + | 0.250187i | ||||
\(227\) | −4.48205 | − | 19.6371i | −0.297484 | − | 1.30336i | −0.873860 | − | 0.486178i | \(-0.838391\pi\) |
0.576376 | − | 0.817185i | \(-0.304466\pi\) | |||||||
\(228\) | −4.09414 | + | 1.97164i | −0.271141 | + | 0.130575i | ||||
\(229\) | 18.4566 | + | 8.88823i | 1.21965 | + | 0.587351i | 0.929213 | − | 0.369544i | \(-0.120486\pi\) |
0.290433 | + | 0.956895i | \(0.406201\pi\) | |||||||
\(230\) | −0.705741 | − | 3.09205i | −0.0465352 | − | 0.203884i | ||||
\(231\) | −2.82843 | −0.186097 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.31371 | −0.282600 | −0.141300 | − | 0.989967i | \(-0.545128\pi\) | ||||
−0.141300 | + | 0.989967i | \(0.545128\pi\) | |||||||
\(234\) | 0.476670 | + | 2.08843i | 0.0311609 | + | 0.136525i | ||||
\(235\) | 4.72346 | + | 2.27470i | 0.308124 | + | 0.148385i | ||||
\(236\) | 12.6136 | − | 6.07437i | 0.821073 | − | 0.395408i | ||||
\(237\) | 0.0381786 | + | 0.167271i | 0.00247996 | + | 0.0108654i | ||||
\(238\) | 1.25877 | − | 5.51503i | 0.0815938 | − | 0.357486i | ||||
\(239\) | 7.51691 | + | 3.61996i | 0.486229 | + | 0.234155i | 0.660904 | − | 0.750471i | \(-0.270173\pi\) |
−0.174675 | + | 0.984626i | \(0.555887\pi\) | |||||||
\(240\) | 0.774774 | + | 0.971536i | 0.0500114 | + | 0.0627124i | ||||
\(241\) | 2.68955 | + | 3.37259i | 0.173249 | + | 0.217248i | 0.860874 | − | 0.508819i | \(-0.169918\pi\) |
−0.687624 | + | 0.726067i | \(0.741346\pi\) | |||||||
\(242\) | 1.93000 | − | 0.929438i | 0.124065 | − | 0.0597465i | ||||
\(243\) | −6.44885 | + | 8.08660i | −0.413694 | + | 0.518755i | ||||
\(244\) | −1.51472 | −0.0969699 | ||||||||
\(245\) | −0.623490 | + | 0.781831i | −0.0398333 | + | 0.0499494i | ||||
\(246\) | 0.476670 | − | 2.08843i | 0.0303914 | − | 0.133153i | ||||
\(247\) | −2.44118 | + | 10.6955i | −0.155329 | + | 0.680539i | ||||
\(248\) | 4.02515 | − | 5.04738i | 0.255597 | − | 0.320509i | ||||
\(249\) | 1.51472 | 0.0959914 | ||||||||
\(250\) | 2.32432 | − | 2.91461i | 0.147003 | − | 0.184336i | ||||
\(251\) | −5.34178 | + | 2.57247i | −0.337170 | + | 0.162373i | −0.594806 | − | 0.803870i | \(-0.702771\pi\) |
0.257635 | + | 0.966242i | \(0.417057\pi\) | |||||||
\(252\) | 9.12005 | + | 11.4362i | 0.574509 | + | 0.720411i | ||||
\(253\) | −11.5254 | − | 14.4524i | −0.724595 | − | 0.908613i | ||||
\(254\) | 5.84304 | + | 2.81386i | 0.366625 | + | 0.176557i | ||||
\(255\) | 0.445042 | − | 1.94986i | 0.0278696 | − | 0.122105i | ||||
\(256\) | −0.883533 | − | 3.87101i | −0.0552208 | − | 0.241938i | ||||
\(257\) | 21.4687 | − | 10.3388i | 1.33918 | − | 0.644915i | 0.379285 | − | 0.925280i | \(-0.376170\pi\) |
0.959893 | + | 0.280365i | \(0.0904555\pi\) | |||||||
\(258\) | 0.991521 | + | 0.477491i | 0.0617294 | + | 0.0297273i | ||||
\(259\) | 2.51754 | + | 11.0301i | 0.156432 | + | 0.685374i | ||||
\(260\) | 3.34315 | 0.207333 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.544156 | −0.0336181 | ||||||||
\(263\) | −2.50172 | − | 10.9608i | −0.154263 | − | 0.675870i | −0.991617 | − | 0.129209i | \(-0.958756\pi\) |
0.837354 | − | 0.546660i | \(-0.184101\pi\) | |||||||
\(264\) | −1.42874 | − | 0.688047i | −0.0879331 | − | 0.0423464i | ||||
\(265\) | −6.74401 | + | 3.24774i | −0.414281 | + | 0.199507i | ||||
\(266\) | −1.56420 | − | 6.85319i | −0.0959071 | − | 0.420196i | ||||
\(267\) | 0.413414 | − | 1.81128i | 0.0253005 | − | 0.110849i | ||||
\(268\) | −9.31885 | − | 4.48772i | −0.569240 | − | 0.274131i | ||||
\(269\) | −12.1305 | − | 15.2112i | −0.739611 | − | 0.927443i | 0.259657 | − | 0.965701i | \(-0.416390\pi\) |
−0.999268 | + | 0.0382582i | \(0.987819\pi\) | |||||||
\(270\) | −0.623490 | − | 0.781831i | −0.0379444 | − | 0.0475807i | ||||
\(271\) | 13.1148 | − | 6.31576i | 0.796668 | − | 0.383655i | 0.00915912 | − | 0.999958i | \(-0.497085\pi\) |
0.787509 | + | 0.616303i | \(0.211370\pi\) | |||||||
\(272\) | −9.03143 | + | 11.3250i | −0.547611 | + | 0.686682i | ||||
\(273\) | −2.14214 | −0.129648 | ||||||||
\(274\) | 3.09910 | − | 3.88614i | 0.187223 | − | 0.234770i | ||||
\(275\) | 2.14885 | − | 9.41474i | 0.129581 | − | 0.567730i | ||||
\(276\) | 1.29040 | − | 5.65360i | 0.0776728 | − | 0.340307i | ||||
\(277\) | 3.31304 | − | 4.15442i | 0.199061 | − | 0.249615i | −0.672275 | − | 0.740302i | \(-0.734683\pi\) |
0.871336 | + | 0.490687i | \(0.163254\pi\) | |||||||
\(278\) | 5.79899 | 0.347800 | ||||||||
\(279\) | 7.17931 | − | 9.00257i | 0.429814 | − | 0.538970i | ||||
\(280\) | −4.04110 | + | 1.94609i | −0.241502 | + | 0.116301i | ||||
\(281\) | −1.22863 | − | 1.54065i | −0.0732937 | − | 0.0919074i | 0.743833 | − | 0.668366i | \(-0.233006\pi\) |
−0.817127 | + | 0.576458i | \(0.804434\pi\) | |||||||
\(282\) | −0.560826 | − | 0.703253i | −0.0333967 | − | 0.0418781i | ||||
\(283\) | −0.309164 | − | 0.148885i | −0.0183779 | − | 0.00885032i | 0.424672 | − | 0.905347i | \(-0.360389\pi\) |
−0.443050 | + | 0.896497i | \(0.646104\pi\) | |||||||
\(284\) | −1.29040 | + | 5.65360i | −0.0765710 | + | 0.335479i | ||||
\(285\) | −0.553027 | − | 2.42297i | −0.0327585 | − | 0.143524i | ||||
\(286\) | −1.64736 | + | 0.793325i | −0.0974102 | + | 0.0469103i | ||||
\(287\) | −31.8166 | − | 15.3220i | −1.87807 | − | 0.904432i | ||||
\(288\) | 2.77824 | + | 12.1722i | 0.163709 | + | 0.717257i | ||||
\(289\) | 6.31371 | 0.371395 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.17157 | 0.303163 | ||||||||
\(292\) | 1.62745 | + | 7.13034i | 0.0952395 | + | 0.417272i | ||||
\(293\) | 3.29471 | + | 1.58665i | 0.192479 | + | 0.0926931i | 0.527641 | − | 0.849468i | \(-0.323077\pi\) |
−0.335162 | + | 0.942161i | \(0.608791\pi\) | |||||||
\(294\) | 0.154582 | − | 0.0744427i | 0.00901539 | − | 0.00434159i | ||||
\(295\) | 1.70381 | + | 7.46488i | 0.0991997 | + | 0.434622i | ||||
\(296\) | −1.41148 | + | 6.18411i | −0.0820408 | + | 0.359444i | ||||
\(297\) | −5.25123 | − | 2.52886i | −0.304707 | − | 0.146739i | ||||
\(298\) | −0.560826 | − | 0.703253i | −0.0324878 | − | 0.0407384i | ||||
\(299\) | −8.72886 | − | 10.9456i | −0.504803 | − | 0.633003i | ||||
\(300\) | 2.72943 | − | 1.31442i | 0.157584 | − | 0.0758883i | ||||
\(301\) | 11.3114 | − | 14.1841i | 0.651980 | − | 0.817558i | ||||
\(302\) | 5.85786 | 0.337082 | ||||||||
\(303\) | 3.52699 | − | 4.42271i | 0.202620 | − | 0.254078i | ||||
\(304\) | −4.00538 | + | 17.5487i | −0.229724 | + | 1.00649i | ||||
\(305\) | 0.184342 | − | 0.807657i | 0.0105554 | − | 0.0462463i | ||||
\(306\) | 3.52699 | − | 4.42271i | 0.201625 | − | 0.252829i | ||||
\(307\) | −16.8995 | −0.964505 | −0.482253 | − | 0.876032i | \(-0.660181\pi\) | ||||
−0.482253 | + | 0.876032i | \(0.660181\pi\) | |||||||
\(308\) | −7.78445 | + | 9.76139i | −0.443560 | + | 0.556207i | ||||
\(309\) | 0.309164 | − | 0.148885i | 0.0175877 | − | 0.00846979i | ||||
\(310\) | 1.05139 | + | 1.31840i | 0.0597147 | + | 0.0748798i | ||||
\(311\) | 15.7828 | + | 19.7911i | 0.894963 | + | 1.12225i | 0.991908 | + | 0.126958i | \(0.0405214\pi\) |
−0.0969454 | + | 0.995290i | \(0.530907\pi\) | |||||||
\(312\) | −1.08207 | − | 0.521099i | −0.0612603 | − | 0.0295014i | ||||
\(313\) | −0.928262 | + | 4.06698i | −0.0524685 | + | 0.229879i | −0.994363 | − | 0.106029i | \(-0.966186\pi\) |
0.941895 | + | 0.335909i | \(0.109043\pi\) | |||||||
\(314\) | 0.782098 | + | 3.42660i | 0.0441364 | + | 0.193374i | ||||
\(315\) | −7.20775 | + | 3.47107i | −0.406111 | + | 0.195573i | ||||
\(316\) | 0.682357 | + | 0.328606i | 0.0383856 | + | 0.0184855i | ||||
\(317\) | −4.32933 | − | 18.9680i | −0.243160 | − | 1.06535i | −0.938122 | − | 0.346305i | \(-0.887436\pi\) |
0.694962 | − | 0.719046i | \(-0.255421\pi\) | |||||||
\(318\) | 1.28427 | 0.0720184 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 4.17157 | 0.233198 | ||||||||
\(321\) | −0.845355 | − | 3.70374i | −0.0471831 | − | 0.206723i | ||||
\(322\) | 8.08220 | + | 3.89218i | 0.450403 | + | 0.216903i | ||||
\(323\) | 26.1016 | − | 12.5699i | 1.45233 | − | 0.699406i | ||||
\(324\) | 3.04549 | + | 13.3431i | 0.169194 | + | 0.741286i | ||||
\(325\) | 1.62745 | − | 7.13034i | 0.0902749 | − | 0.395520i | ||||
\(326\) | −6.74401 | − | 3.24774i | −0.373516 | − | 0.179876i | ||||
\(327\) | −0.346878 | − | 0.434971i | −0.0191824 | − | 0.0240540i | ||||
\(328\) | −12.3445 | − | 15.4795i | −0.681609 | − | 0.854711i | ||||
\(329\) | −13.3600 | + | 6.43381i | −0.736558 | + | 0.354708i | ||||
\(330\) | 0.258258 | − | 0.323845i | 0.0142166 | − | 0.0178271i | ||||
\(331\) | 0.414214 | 0.0227672 | 0.0113836 | − | 0.999935i | \(-0.496376\pi\) | ||||
0.0113836 | + | 0.999935i | \(0.496376\pi\) | |||||||
\(332\) | 4.16883 | − | 5.22755i | 0.228795 | − | 0.286899i | ||||
\(333\) | −2.51754 | + | 11.0301i | −0.137960 | + | 0.604443i | ||||
\(334\) | 0.813727 | − | 3.56517i | 0.0445251 | − | 0.195077i | ||||
\(335\) | 3.52699 | − | 4.42271i | 0.192700 | − | 0.241638i | ||||
\(336\) | −3.51472 | −0.191744 | ||||||||
\(337\) | −11.0975 | + | 13.9158i | −0.604519 | + | 0.758043i | −0.986075 | − | 0.166303i | \(-0.946817\pi\) |
0.381556 | + | 0.924346i | \(0.375388\pi\) | |||||||
\(338\) | 3.60388 | − | 1.73553i | 0.196025 | − | 0.0944007i | ||||
\(339\) | −2.40534 | − | 3.01620i | −0.130640 | − | 0.163817i | ||||
\(340\) | −5.50443 | − | 6.90234i | −0.298520 | − | 0.374332i | ||||
\(341\) | 8.85511 | + | 4.26439i | 0.479531 | + | 0.230930i | ||||
\(342\) | 1.56420 | − | 6.85319i | 0.0845821 | − | 0.370578i | ||||
\(343\) | 3.77631 | + | 16.5451i | 0.203901 | + | 0.893350i | ||||
\(344\) | 9.16427 | − | 4.41328i | 0.494104 | − | 0.237948i | ||||
\(345\) | 2.85749 | + | 1.37609i | 0.153842 | + | 0.0740864i | ||||
\(346\) | −2.18048 | − | 9.55331i | −0.117223 | − | 0.513589i | ||||
\(347\) | −14.4853 | −0.777611 | −0.388805 | − | 0.921320i | \(-0.627112\pi\) | ||||
−0.388805 | + | 0.921320i | \(0.627112\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.1421 | 1.23877 | 0.619385 | − | 0.785087i | \(-0.287382\pi\) | ||||
0.619385 | + | 0.785087i | \(0.287382\pi\) | |||||||
\(350\) | 1.04280 | + | 4.56880i | 0.0557399 | + | 0.244212i | ||||
\(351\) | −3.97707 | − | 1.91526i | −0.212280 | − | 0.102229i | ||||
\(352\) | −9.60149 | + | 4.62384i | −0.511761 | + | 0.246451i | ||||
\(353\) | 1.55110 | + | 6.79580i | 0.0825565 | + | 0.361704i | 0.999285 | − | 0.0378069i | \(-0.0120372\pi\) |
−0.916729 | + | 0.399511i | \(0.869180\pi\) | |||||||
\(354\) | 0.292328 | − | 1.28077i | 0.0155370 | − | 0.0680722i | ||||
\(355\) | −2.85749 | − | 1.37609i | −0.151660 | − | 0.0730355i | ||||
\(356\) | −5.11325 | − | 6.41181i | −0.271002 | − | 0.339825i | ||||
\(357\) | 3.52699 | + | 4.42271i | 0.186668 | + | 0.234074i | ||||
\(358\) | −3.91304 | + | 1.88442i | −0.206811 | + | 0.0995947i | ||||
\(359\) | 11.2671 | − | 14.1285i | 0.594656 | − | 0.745675i | −0.389878 | − | 0.920866i | \(-0.627483\pi\) |
0.984534 | + | 0.175191i | \(0.0560543\pi\) | |||||||
\(360\) | −4.48528 | −0.236395 | ||||||||
\(361\) | 10.5993 | − | 13.2911i | 0.557859 | − | 0.699533i | ||||
\(362\) | 1.31931 | − | 5.78028i | 0.0693415 | − | 0.303805i | ||||
\(363\) | −0.476670 | + | 2.08843i | −0.0250187 | + | 0.109614i | ||||
\(364\) | −5.89562 | + | 7.39288i | −0.309015 | + | 0.387492i | ||||
\(365\) | −4.00000 | −0.209370 | ||||||||
\(366\) | −0.0886201 | + | 0.111126i | −0.00463225 | + | 0.00580865i | ||||
\(367\) | −16.2174 | + | 7.80991i | −0.846543 | + | 0.407674i | −0.806293 | − | 0.591516i | \(-0.798530\pi\) |
−0.0402500 | + | 0.999190i | \(0.512815\pi\) | |||||||
\(368\) | −14.3219 | − | 17.9591i | −0.746581 | − | 0.936183i | ||||
\(369\) | −22.0177 | − | 27.6094i | −1.14620 | − | 1.43729i | ||||
\(370\) | −1.49277 | − | 0.718882i | −0.0776056 | − | 0.0373729i | ||||
\(371\) | 4.71112 | − | 20.6408i | 0.244589 | − | 1.07161i | ||||
\(372\) | 0.686090 | + | 3.00596i | 0.0355721 | + | 0.155852i | ||||
\(373\) | 3.32123 | − | 1.59942i | 0.171967 | − | 0.0828149i | −0.345920 | − | 0.938264i | \(-0.612433\pi\) |
0.517887 | + | 0.855449i | \(0.326719\pi\) | |||||||
\(374\) | 4.35026 | + | 2.09498i | 0.224947 | + | 0.108329i | ||||
\(375\) | 0.829541 | + | 3.63446i | 0.0428373 | + | 0.187682i | ||||
\(376\) | −8.31371 | −0.428747 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 2.82843 | 0.145479 | ||||||||
\(379\) | −6.00151 | − | 26.2944i | −0.308277 | − | 1.35065i | −0.857289 | − | 0.514836i | \(-0.827853\pi\) |
0.549012 | − | 0.835815i | \(-0.315004\pi\) | |||||||
\(380\) | −9.88414 | − | 4.75995i | −0.507045 | − | 0.244180i | ||||
\(381\) | −5.84304 | + | 2.81386i | −0.299348 | + | 0.144158i | ||||
\(382\) | −0.247599 | − | 1.08480i | −0.0126683 | − | 0.0555032i | ||||
\(383\) | 4.55840 | − | 19.9717i | 0.232924 | − | 1.02050i | −0.714277 | − | 0.699863i | \(-0.753244\pi\) |
0.947201 | − | 0.320642i | \(-0.103899\pi\) | |||||||
\(384\) | −3.93956 | − | 1.89719i | −0.201040 | − | 0.0968157i | ||||
\(385\) | −4.25745 | − | 5.33868i | −0.216980 | − | 0.272084i | ||||
\(386\) | −2.79653 | − | 3.50673i | −0.142339 | − | 0.178488i | ||||
\(387\) | 16.3455 | − | 7.87158i | 0.830888 | − | 0.400135i | ||||
\(388\) | 14.2333 | − | 17.8480i | 0.722586 | − | 0.906094i | ||||
\(389\) | 36.9706 | 1.87448 | 0.937241 | − | 0.348682i | \(-0.113371\pi\) | ||||
0.937241 | + | 0.348682i | \(0.113371\pi\) | |||||||
\(390\) | 0.195594 | − | 0.245267i | 0.00990429 | − | 0.0124196i | ||||
\(391\) | −8.22672 | + | 36.0436i | −0.416043 | + | 1.82280i | ||||
\(392\) | 0.352871 | − | 1.54603i | 0.0178227 | − | 0.0780862i | ||||
\(393\) | 0.339276 | − | 0.425438i | 0.0171142 | − | 0.0214605i | ||||
\(394\) | 0.828427 | 0.0417356 | ||||||||
\(395\) | −0.258258 | + | 0.323845i | −0.0129944 | + | 0.0162944i | ||||
\(396\) | −11.2488 | + | 5.41716i | −0.565276 | + | 0.272223i | ||||
\(397\) | 19.1142 | + | 23.9685i | 0.959316 | + | 1.20294i | 0.979150 | + | 0.203141i | \(0.0651150\pi\) |
−0.0198335 | + | 0.999803i | \(0.506314\pi\) | |||||||
\(398\) | 4.25745 | + | 5.33868i | 0.213407 | + | 0.267604i | ||||
\(399\) | 6.33330 | + | 3.04996i | 0.317062 | + | 0.152689i | ||||
\(400\) | 2.67025 | − | 11.6991i | 0.133513 | − | 0.584957i | ||||
\(401\) | 1.63400 | + | 7.15904i | 0.0815982 | + | 0.357505i | 0.999200 | − | 0.0399961i | \(-0.0127345\pi\) |
−0.917602 | + | 0.397501i | \(0.869877\pi\) | |||||||
\(402\) | −0.874447 | + | 0.421111i | −0.0436134 | + | 0.0210031i | ||||
\(403\) | 6.70650 | + | 3.22968i | 0.334074 | + | 0.160882i | ||||
\(404\) | −5.55647 | − | 24.3445i | −0.276445 | − | 1.21118i | ||||
\(405\) | −7.48528 | −0.371947 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.65685 | −0.478672 | ||||||||
\(408\) | 0.705741 | + | 3.09205i | 0.0349394 | + | 0.153080i | ||||
\(409\) | −13.4880 | − | 6.49548i | −0.666939 | − | 0.321181i | 0.0696008 | − | 0.997575i | \(-0.477827\pi\) |
−0.736540 | + | 0.676394i | \(0.763542\pi\) | |||||||
\(410\) | 4.65943 | − | 2.24386i | 0.230113 | − | 0.110816i | ||||
\(411\) | 1.10605 | + | 4.84594i | 0.0545576 | + | 0.239033i | ||||
\(412\) | 0.337057 | − | 1.47674i | 0.0166056 | − | 0.0727538i | ||||
\(413\) | −19.5122 | − | 9.39656i | −0.960130 | − | 0.462374i | ||||
\(414\) | 5.59305 | + | 7.01347i | 0.274884 | + | 0.344693i | ||||
\(415\) | 2.28001 | + | 2.85904i | 0.111921 | + | 0.140345i | ||||
\(416\) | −7.27178 | + | 3.50191i | −0.356528 | + | 0.171695i | ||||
\(417\) | −3.61561 | + | 4.53383i | −0.177057 | + | 0.222023i | ||||
\(418\) | 6.00000 | 0.293470 | ||||||||
\(419\) | −16.5133 | + | 20.7070i | −0.806728 | + | 1.01160i | 0.192811 | + | 0.981236i | \(0.438240\pi\) |
−0.999539 | + | 0.0303686i | \(0.990332\pi\) | |||||||
\(420\) | 0.476670 | − | 2.08843i | 0.0232591 | − | 0.101905i | ||||
\(421\) | 5.58810 | − | 24.4831i | 0.272347 | − | 1.19323i | −0.634887 | − | 0.772605i | \(-0.718953\pi\) |
0.907234 | − | 0.420626i | \(-0.138190\pi\) | |||||||
\(422\) | 4.48976 | − | 5.62998i | 0.218558 | − | 0.274063i | ||||
\(423\) | −14.8284 | −0.720983 | ||||||||
\(424\) | 7.40086 | − | 9.28038i | 0.359418 | − | 0.450695i | ||||
\(425\) | −17.4011 | + | 8.37990i | −0.844075 | + | 0.406485i | ||||
\(426\) | 0.339276 | + | 0.425438i | 0.0164380 | + | 0.0206125i | ||||
\(427\) | 1.46093 | + | 1.83195i | 0.0706992 | + | 0.0886540i | ||||
\(428\) | −15.1088 | − | 7.27604i | −0.730314 | − | 0.351700i | ||||
\(429\) | 0.406863 | − | 1.78258i | 0.0196435 | − | 0.0860640i | ||||
\(430\) | 0.591206 | + | 2.59024i | 0.0285105 | + | 0.124913i | ||||
\(431\) | −7.51691 | + | 3.61996i | −0.362077 | + | 0.174367i | −0.606073 | − | 0.795409i | \(-0.707256\pi\) |
0.243996 | + | 0.969776i | \(0.421542\pi\) | |||||||
\(432\) | −6.52539 | − | 3.14246i | −0.313953 | − | 0.151192i | ||||
\(433\) | 3.25491 | + | 14.2607i | 0.156421 | + | 0.685324i | 0.990935 | + | 0.134339i | \(0.0428910\pi\) |
−0.834515 | + | 0.550986i | \(0.814252\pi\) | |||||||
\(434\) | −4.76955 | −0.228946 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.45584 | −0.117614 | ||||||||
\(437\) | 10.2229 | + | 44.7893i | 0.489026 | + | 2.14256i | ||||
\(438\) | 0.618327 | + | 0.297771i | 0.0295448 | + | 0.0142280i | ||||
\(439\) | 10.5025 | − | 5.05772i | 0.501255 | − | 0.241392i | −0.166131 | − | 0.986104i | \(-0.553127\pi\) |
0.667386 | + | 0.744712i | \(0.267413\pi\) | |||||||
\(440\) | −0.851905 | − | 3.73244i | −0.0406130 | − | 0.177937i | ||||
\(441\) | 0.629384 | − | 2.75751i | 0.0299707 | − | 0.131310i | ||||
\(442\) | 3.29471 | + | 1.58665i | 0.156713 | + | 0.0754692i | ||||
\(443\) | −22.2317 | − | 27.8777i | −1.05626 | − | 1.32451i | −0.943678 | − | 0.330865i | \(-0.892660\pi\) |
−0.112581 | − | 0.993643i | \(-0.535912\pi\) | |||||||
\(444\) | −1.88882 | − | 2.36851i | −0.0896396 | − | 0.112404i | ||||
\(445\) | 4.04110 | − | 1.94609i | 0.191566 | − | 0.0922535i | ||||
\(446\) | −2.28001 | + | 2.85904i | −0.107962 | + | 0.135380i | ||||
\(447\) | 0.899495 | 0.0425447 | ||||||||
\(448\) | −7.35655 | + | 9.22482i | −0.347564 | + | 0.435832i | ||||
\(449\) | 0.229071 | − | 1.00363i | 0.0108105 | − | 0.0473641i | −0.969235 | − | 0.246137i | \(-0.920839\pi\) |
0.980046 | + | 0.198773i | \(0.0636957\pi\) | |||||||
\(450\) | −1.04280 | + | 4.56880i | −0.0491580 | + | 0.215375i | ||||
\(451\) | 18.7933 | − | 23.5661i | 0.884943 | − | 1.10968i | ||||
\(452\) | −17.0294 | −0.800997 | ||||||||
\(453\) | −3.65232 | + | 4.57986i | −0.171601 | + | 0.215181i | ||||
\(454\) | −7.51691 | + | 3.61996i | −0.352786 | + | 0.169893i | ||||
\(455\) | −3.22442 | − | 4.04330i | −0.151163 | − | 0.189553i | ||||
\(456\) | 2.45725 | + | 3.08130i | 0.115071 | + | 0.144295i | ||||
\(457\) | −31.5074 | − | 15.1732i | −1.47385 | − | 0.709770i | −0.487304 | − | 0.873232i | \(-0.662020\pi\) |
−0.986550 | + | 0.163462i | \(0.947734\pi\) | |||||||
\(458\) | 1.88815 | − | 8.27254i | 0.0882276 | − | 0.386550i | ||||
\(459\) | 2.59389 | + | 11.3646i | 0.121073 | + | 0.530454i | ||||
\(460\) | 12.6136 | − | 6.07437i | 0.588110 | − | 0.283219i | ||||
\(461\) | −12.6136 | − | 6.07437i | −0.587472 | − | 0.282912i | 0.116441 | − | 0.993198i | \(-0.462851\pi\) |
−0.703913 | + | 0.710286i | \(0.748566\pi\) | |||||||
\(462\) | 0.260699 | + | 1.14220i | 0.0121288 | + | 0.0531399i | ||||
\(463\) | −26.0000 | −1.20832 | −0.604161 | − | 0.796862i | \(-0.706492\pi\) | ||||
−0.604161 | + | 0.796862i | \(0.706492\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.68629 | −0.0781999 | ||||||||
\(466\) | 0.397600 | + | 1.74200i | 0.0184184 | + | 0.0806965i | ||||
\(467\) | −29.1512 | − | 14.0385i | −1.34895 | − | 0.649622i | −0.386809 | − | 0.922160i | \(-0.626423\pi\) |
−0.962145 | + | 0.272537i | \(0.912137\pi\) | |||||||
\(468\) | −8.51942 | + | 4.10274i | −0.393810 | + | 0.189649i | ||||
\(469\) | 3.56033 | + | 15.5988i | 0.164401 | + | 0.720288i | ||||
\(470\) | 0.483220 | − | 2.11713i | 0.0222893 | − | 0.0976558i | ||||
\(471\) | −3.16665 | − | 1.52498i | −0.145912 | − | 0.0702673i | ||||
\(472\) | −7.57050 | − | 9.49310i | −0.348460 | − | 0.436956i | ||||
\(473\) | 9.65492 | + | 12.1069i | 0.443933 | + | 0.556675i | ||||
\(474\) | 0.0640299 | − | 0.0308352i | 0.00294099 | − | 0.00141631i | ||||
\(475\) | −14.9638 | + | 18.7640i | −0.686584 | + | 0.860949i | ||||
\(476\) | 24.9706 | 1.14452 | ||||||||
\(477\) | 13.2003 | − | 16.5526i | 0.604398 | − | 0.757892i | ||||
\(478\) | 0.768998 | − | 3.36920i | 0.0351731 | − | 0.154104i | ||||
\(479\) | 2.87041 | − | 12.5761i | 0.131152 | − | 0.574616i | −0.866056 | − | 0.499947i | \(-0.833353\pi\) |
0.997208 | − | 0.0746688i | \(-0.0237900\pi\) | |||||||
\(480\) | 1.14001 | − | 1.42952i | 0.0520339 | − | 0.0652484i | ||||
\(481\) | −7.31371 | −0.333476 | ||||||||
\(482\) | 1.11405 | − | 1.39697i | 0.0507436 | − | 0.0636304i | ||||
\(483\) | −8.08220 | + | 3.89218i | −0.367753 | + | 0.177100i | ||||
\(484\) | 5.89562 | + | 7.39288i | 0.267983 | + | 0.336040i | ||||
\(485\) | 7.78445 | + | 9.76139i | 0.353473 | + | 0.443242i | ||||
\(486\) | 3.86000 | + | 1.85888i | 0.175093 | + | 0.0843203i | ||||
\(487\) | 6.33857 | − | 27.7711i | 0.287228 | − | 1.25843i | −0.601083 | − | 0.799187i | \(-0.705264\pi\) |
0.888311 | − | 0.459242i | \(-0.151879\pi\) | |||||||
\(488\) | 0.292328 | + | 1.28077i | 0.0132331 | + | 0.0579778i | ||||
\(489\) | 6.74401 | − | 3.24774i | 0.304974 | − | 0.146868i | ||||
\(490\) | 0.373194 | + | 0.179721i | 0.0168592 | + | 0.00811895i | ||||
\(491\) | 2.83878 | + | 12.4375i | 0.128112 | + | 0.561297i | 0.997716 | + | 0.0675466i | \(0.0215171\pi\) |
−0.869604 | + | 0.493750i | \(0.835626\pi\) | |||||||
\(492\) | 9.45584 | 0.426302 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 4.54416 | 0.204451 | ||||||||
\(495\) | −1.51947 | − | 6.65722i | −0.0682950 | − | 0.299220i | ||||
\(496\) | 11.0037 | + | 5.29911i | 0.494081 | + | 0.237937i | ||||
\(497\) | 8.08220 | − | 3.89218i | 0.362536 | − | 0.174588i | ||||
\(498\) | −0.139613 | − | 0.611686i | −0.00625623 | − | 0.0274103i | ||||
\(499\) | 3.33126 | − | 14.5952i | 0.149128 | − | 0.653372i | −0.844001 | − | 0.536342i | \(-0.819806\pi\) |
0.993128 | − | 0.117030i | \(-0.0373372\pi\) | |||||||
\(500\) | 14.8262 | + | 7.13992i | 0.663048 | + | 0.319307i | ||||
\(501\) | 2.28001 | + | 2.85904i | 0.101863 | + | 0.127733i | ||||
\(502\) | 1.53119 | + | 1.92006i | 0.0683405 | + | 0.0856963i | ||||
\(503\) | −23.1801 | + | 11.1629i | −1.03355 | + | 0.497730i | −0.872191 | − | 0.489166i | \(-0.837301\pi\) |
−0.161357 | + | 0.986896i | \(0.551587\pi\) | |||||||
\(504\) | 7.90977 | − | 9.91854i | 0.352329 | − | 0.441807i | ||||
\(505\) | 13.6569 | 0.607722 | ||||||||
\(506\) | −4.77397 | + | 5.98637i | −0.212229 | + | 0.266127i | ||||
\(507\) | −0.890084 | + | 3.89971i | −0.0395300 | + | 0.173192i | ||||
\(508\) | −6.37020 | + | 27.9097i | −0.282632 | + | 1.23829i | ||||
\(509\) | −17.1368 | + | 21.4889i | −0.759575 | + | 0.952477i | −0.999834 | − | 0.0182320i | \(-0.994196\pi\) |
0.240259 | + | 0.970709i | \(0.422768\pi\) | |||||||
\(510\) | −0.828427 | −0.0366834 | ||||||||
\(511\) | 7.05398 | − | 8.84541i | 0.312050 | − | 0.391298i | ||||
\(512\) | −20.5037 | + | 9.87405i | −0.906143 | + | 0.436375i | ||||
\(513\) | 9.03143 | + | 11.3250i | 0.398747 | + | 0.500013i | ||||
\(514\) | −6.15388 | − | 7.71672i | −0.271436 | − | 0.340370i | ||||
\(515\) | 0.746387 | + | 0.359441i | 0.0328897 | + | 0.0158389i | ||||
\(516\) | −1.08098 | + | 4.73607i | −0.0475873 | + | 0.208494i | ||||
\(517\) | −2.81642 | − | 12.3395i | −0.123866 | − | 0.542691i | ||||
\(518\) | 4.22220 | − | 2.03331i | 0.185513 | − | 0.0893383i | ||||
\(519\) | 8.82858 | + | 4.25162i | 0.387532 | + | 0.186626i | ||||
\(520\) | −0.645198 | − | 2.82680i | −0.0282938 | − | 0.123963i | ||||
\(521\) | −0.857864 | −0.0375837 | −0.0187919 | − | 0.999823i | \(-0.505982\pi\) | ||||
−0.0187919 | + | 0.999823i | \(0.505982\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 27.3137 | 1.19435 | 0.597173 | − | 0.802113i | \(-0.296291\pi\) | ||||
0.597173 | + | 0.802113i | \(0.296291\pi\) | |||||||
\(524\) | −0.534500 | − | 2.34180i | −0.0233497 | − | 0.102302i | ||||
\(525\) | −4.22220 | − | 2.03331i | −0.184272 | − | 0.0887407i | ||||
\(526\) | −4.19568 | + | 2.02053i | −0.182940 | + | 0.0880994i | ||||
\(527\) | −4.37406 | − | 19.1640i | −0.190537 | − | 0.834798i | ||||
\(528\) | 0.667563 | − | 2.92478i | 0.0290519 | − | 0.127285i | ||||
\(529\) | −32.0992 | − | 15.4582i | −1.39562 | − | 0.672094i | ||||
\(530\) | 1.93313 | + | 2.42407i | 0.0839699 | + | 0.105295i | ||||
\(531\) | −13.5028 | − | 16.9320i | −0.585973 | − | 0.734787i | ||||
\(532\) | 27.9566 | − | 13.4632i | 1.21207 | − | 0.583702i | ||||
\(533\) | 14.2333 | − | 17.8480i | 0.616512 | − | 0.773082i | ||||
\(534\) | −0.769553 | −0.0333018 | ||||||||
\(535\) | 5.71838 | − | 7.17062i | 0.247227 | − | 0.310013i | ||||
\(536\) | −1.99614 | + | 8.74565i | −0.0862200 | + | 0.377755i | ||||
\(537\) | 0.966441 | − | 4.23425i | 0.0417050 | − | 0.182722i | ||||
\(538\) | −5.02463 | + | 6.30068i | −0.216627 | + | 0.271642i | ||||
\(539\) | 2.41421 | 0.103988 | ||||||||
\(540\) | 2.75222 | − | 3.45117i | 0.118437 | − | 0.148515i | ||||
\(541\) | 19.5122 | − | 9.39656i | 0.838893 | − | 0.403990i | 0.0354501 | − | 0.999371i | \(-0.488714\pi\) |
0.803443 | + | 0.595382i | \(0.202999\pi\) | |||||||
\(542\) | −3.75929 | − | 4.71400i | −0.161475 | − | 0.202484i | ||||
\(543\) | 3.69663 | + | 4.63543i | 0.158638 | + | 0.198925i | ||||
\(544\) | 19.2030 | + | 9.24767i | 0.823321 | + | 0.396491i | ||||
\(545\) | 0.298878 | − | 1.30947i | 0.0128025 | − | 0.0560915i | ||||
\(546\) | 0.197443 | + | 0.865055i | 0.00844979 | + | 0.0370209i | ||||
\(547\) | 3.42277 | − | 1.64832i | 0.146347 | − | 0.0704771i | −0.359277 | − | 0.933231i | \(-0.616977\pi\) |
0.505624 | + | 0.862754i | \(0.331262\pi\) | |||||||
\(548\) | 19.7683 | + | 9.51990i | 0.844459 | + | 0.406670i | ||||
\(549\) | 0.521399 | + | 2.28440i | 0.0222528 | + | 0.0974957i | ||||
\(550\) | −4.00000 | −0.170561 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −5.02944 | −0.214067 | ||||||||
\(553\) | −0.260699 | − | 1.14220i | −0.0110861 | − | 0.0485712i | ||||
\(554\) | −1.98304 | − | 0.954983i | −0.0842514 | − | 0.0405733i | ||||
\(555\) | 1.49277 | − | 0.718882i | 0.0633647 | − | 0.0305148i | ||||
\(556\) | 5.69609 | + | 24.9562i | 0.241568 | + | 1.05838i | ||||
\(557\) | −1.18241 | + | 5.18048i | −0.0501004 | + | 0.219504i | −0.993781 | − | 0.111354i | \(-0.964481\pi\) |
0.943680 | + | 0.330858i | \(0.107338\pi\) | |||||||
\(558\) | −4.29722 | − | 2.06943i | −0.181916 | − | 0.0876060i | ||||
\(559\) | 7.31224 | + | 9.16926i | 0.309275 | + | 0.387818i | ||||
\(560\) | −5.29049 | − | 6.63406i | −0.223564 | − | 0.280340i | ||||
\(561\) | −4.35026 | + | 2.09498i | −0.183668 | + | 0.0884500i | ||||
\(562\) | −0.508913 | + | 0.638157i | −0.0214672 | + | 0.0269190i | ||||
\(563\) | −9.24264 | −0.389531 | −0.194765 | − | 0.980850i | \(-0.562395\pi\) | ||||
−0.194765 | + | 0.980850i | \(0.562395\pi\) | |||||||
\(564\) | 2.47561 | − | 3.10431i | 0.104242 | − | 0.130715i | ||||
\(565\) | 2.07250 | − | 9.08019i | 0.0871905 | − | 0.382007i | ||||
\(566\) | −0.0316282 | + | 0.138572i | −0.00132943 | + | 0.00582462i | ||||
\(567\) | 13.2003 | − | 16.5526i | 0.554359 | − | 0.695144i | ||||
\(568\) | 5.02944 | 0.211030 | ||||||||
\(569\) | −17.6717 | + | 22.1596i | −0.740835 | + | 0.928977i | −0.999314 | − | 0.0370396i | \(-0.988207\pi\) |
0.258479 | + | 0.966017i | \(0.416779\pi\) | |||||||
\(570\) | −0.927491 | + | 0.446656i | −0.0388483 | + | 0.0187084i | ||||
\(571\) | −19.0959 | − | 23.9455i | −0.799138 | − | 1.00209i | −0.999749 | − | 0.0224161i | \(-0.992864\pi\) |
0.200611 | − | 0.979671i | \(-0.435707\pi\) | |||||||
\(572\) | −5.03223 | − | 6.31021i | −0.210408 | − | 0.263843i | ||||
\(573\) | 1.00251 | + | 0.482782i | 0.0418803 | + | 0.0201685i | ||||
\(574\) | −3.25491 | + | 14.2607i | −0.135857 | + | 0.595229i | ||||
\(575\) | −6.81524 | − | 29.8595i | −0.284215 | − | 1.24523i | ||||
\(576\) | −10.6305 | + | 5.11939i | −0.442938 | + | 0.213308i | ||||
\(577\) | −8.82858 | − | 4.25162i | −0.367539 | − | 0.176997i | 0.240993 | − | 0.970527i | \(-0.422527\pi\) |
−0.608532 | + | 0.793530i | \(0.708241\pi\) | |||||||
\(578\) | −0.581942 | − | 2.54965i | −0.0242056 | − | 0.106052i | ||||
\(579\) | 4.48528 | 0.186402 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −10.3431 | −0.429106 | ||||||||
\(582\) | −0.476670 | − | 2.08843i | −0.0197586 | − | 0.0865681i | ||||
\(583\) | 16.2815 | + | 7.84074i | 0.674310 | + | 0.324730i | ||||
\(584\) | 5.71498 | − | 2.75219i | 0.236487 | − | 0.113886i | ||||
\(585\) | −1.15078 | − | 5.04191i | −0.0475790 | − | 0.208457i | ||||
\(586\) | 0.337057 | − | 1.47674i | 0.0139237 | − | 0.0610036i | ||||
\(587\) | 3.29471 | + | 1.58665i | 0.135987 | + | 0.0654880i | 0.500640 | − | 0.865656i | \(-0.333098\pi\) |
−0.364653 | + | 0.931144i | \(0.618812\pi\) | |||||||
\(588\) | 0.472206 | + | 0.592127i | 0.0194734 | + | 0.0244189i | ||||
\(589\) | −15.2296 | − | 19.0973i | −0.627525 | − | 0.786892i | ||||
\(590\) | 2.85749 | − | 1.37609i | 0.117641 | − | 0.0566529i | ||||
\(591\) | −0.516516 | + | 0.647690i | −0.0212466 | + | 0.0266424i | ||||
\(592\) | −12.0000 | −0.493197 | ||||||||
\(593\) | −1.56790 | + | 1.96609i | −0.0643860 | + | 0.0807375i | −0.812982 | − | 0.582289i | \(-0.802157\pi\) |
0.748596 | + | 0.663027i | \(0.230728\pi\) | |||||||
\(594\) | −0.537213 | + | 2.35368i | −0.0220421 | + | 0.0965728i | ||||
\(595\) | −3.03894 | + | 13.3144i | −0.124584 | + | 0.545839i | ||||
\(596\) | 2.47561 | − | 3.10431i | 0.101405 | − | 0.127158i | ||||
\(597\) | −6.82843 | −0.279469 | ||||||||
\(598\) | −3.61561 | + | 4.53383i | −0.147853 | + | 0.185402i | ||||
\(599\) | 39.5256 | − | 19.0345i | 1.61497 | − | 0.777729i | 0.615029 | − | 0.788505i | \(-0.289144\pi\) |
0.999942 | + | 0.0107761i | \(0.00343020\pi\) | |||||||
\(600\) | −1.63817 | − | 2.05420i | −0.0668779 | − | 0.0838623i | ||||
\(601\) | −14.2333 | − | 17.8480i | −0.580588 | − | 0.728034i | 0.401625 | − | 0.915804i | \(-0.368446\pi\) |
−0.982213 | + | 0.187770i | \(0.939874\pi\) | |||||||
\(602\) | −6.77053 | − | 3.26051i | −0.275946 | − | 0.132889i | ||||
\(603\) | −3.56033 | + | 15.5988i | −0.144988 | + | 0.635234i | ||||
\(604\) | 5.75392 | + | 25.2096i | 0.234124 | + | 1.02576i | ||||
\(605\) | −4.65943 | + | 2.24386i | −0.189433 | + | 0.0912259i | ||||
\(606\) | −2.11110 | − | 1.01665i | −0.0857576 | − | 0.0412987i | ||||
\(607\) | −3.94483 | − | 17.2834i | −0.160116 | − | 0.701513i | −0.989703 | − | 0.143136i | \(-0.954281\pi\) |
0.829587 | − | 0.558377i | \(-0.188576\pi\) | |||||||
\(608\) | 26.4853 | 1.07412 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.343146 | −0.0138936 | ||||||||
\(611\) | −2.13304 | − | 9.34545i | −0.0862935 | − | 0.378076i | ||||
\(612\) | 22.4977 | + | 10.8343i | 0.909416 | + | 0.437951i | ||||
\(613\) | 8.10872 | − | 3.90495i | 0.327508 | − | 0.157720i | −0.262903 | − | 0.964822i | \(-0.584680\pi\) |
0.590411 | + | 0.807103i | \(0.298966\pi\) | |||||||
\(614\) | 1.55765 | + | 6.82450i | 0.0628615 | + | 0.275414i | ||||
\(615\) | −1.15078 | + | 5.04191i | −0.0464041 | + | 0.203309i | ||||
\(616\) | 9.75608 | + | 4.69828i | 0.393083 | + | 0.189299i | ||||
\(617\) | 14.5359 | + | 18.2274i | 0.585192 | + | 0.733807i | 0.982989 | − | 0.183666i | \(-0.0587966\pi\) |
−0.397797 | + | 0.917473i | \(0.630225\pi\) | |||||||
\(618\) | −0.0886201 | − | 0.111126i | −0.00356482 | − | 0.00447015i | ||||
\(619\) | −32.8081 | + | 15.7995i | −1.31867 | + | 0.635037i | −0.955032 | − | 0.296504i | \(-0.904179\pi\) |
−0.363636 | + | 0.931541i | \(0.618465\pi\) | |||||||
\(620\) | −4.64104 | + | 5.81968i | −0.186389 | + | 0.233724i | ||||
\(621\) | −18.4853 | −0.741789 | ||||||||
\(622\) | 6.53747 | − | 8.19772i | 0.262129 | − | 0.328699i | ||||
\(623\) | −2.82297 | + | 12.3682i | −0.113100 | + | 0.495522i | ||||
\(624\) | 0.505585 | − | 2.21511i | 0.0202396 | − | 0.0886755i | ||||
\(625\) | 6.85839 | − | 8.60015i | 0.274336 | − | 0.344006i | ||||
\(626\) | 1.72792 | 0.0690617 | ||||||||
\(627\) | −3.74094 | + | 4.69099i | −0.149399 | + | 0.187340i | ||||
\(628\) | −13.9783 | + | 6.73158i | −0.557794 | + | 0.268619i | ||||
\(629\) | 12.0419 | + | 15.1001i | 0.480142 | + | 0.602079i | ||||
\(630\) | 2.06606 | + | 2.59076i | 0.0823139 | + | 0.103218i | ||||
\(631\) | 28.0846 | + | 13.5248i | 1.11803 | + | 0.538415i | 0.899284 | − | 0.437366i | \(-0.144089\pi\) |
0.218747 | + | 0.975782i | \(0.429803\pi\) | |||||||
\(632\) | 0.146164 | − | 0.640386i | 0.00581408 | − | 0.0254732i | ||||
\(633\) | 1.60238 | + | 7.02047i | 0.0636887 | + | 0.279038i | ||||
\(634\) | −7.26080 | + | 3.49661i | −0.288363 | + | 0.138868i | ||||
\(635\) | −14.1063 | − | 6.79325i | −0.559793 | − | 0.269582i | ||||
\(636\) | 1.26148 | + | 5.52691i | 0.0500210 | + | 0.219156i | ||||
\(637\) | 1.82843 | 0.0724449 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8.97056 | 0.354870 | ||||||||
\(640\) | −2.34901 | − | 10.2917i | −0.0928527 | − | 0.406814i | ||||
\(641\) | 19.6402 | + | 9.45823i | 0.775742 | + | 0.373578i | 0.779489 | − | 0.626415i | \(-0.215479\pi\) |
−0.00374766 | + | 0.999993i | \(0.501193\pi\) | |||||||
\(642\) | −1.41776 | + | 0.682756i | −0.0559545 | + | 0.0269462i | ||||
\(643\) | −3.45235 | − | 15.1257i | −0.136147 | − | 0.596501i | −0.996261 | − | 0.0863977i | \(-0.972464\pi\) |
0.860113 | − | 0.510103i | \(-0.170393\pi\) | |||||||
\(644\) | −8.81138 | + | 38.6052i | −0.347217 | + | 1.52126i | ||||
\(645\) | −2.39374 | − | 1.15277i | −0.0942535 | − | 0.0453901i | ||||
\(646\) | −7.48188 | − | 9.38198i | −0.294371 | − | 0.369129i | ||||
\(647\) | 17.6717 | + | 22.1596i | 0.694745 | + | 0.871182i | 0.996619 | − | 0.0821655i | \(-0.0261836\pi\) |
−0.301874 | + | 0.953348i | \(0.597612\pi\) | |||||||
\(648\) | 10.6946 | − | 5.15023i | 0.420122 | − | 0.202320i | ||||
\(649\) | 11.5254 | − | 14.4524i | 0.452411 | − | 0.567305i | ||||
\(650\) | −3.02944 | −0.118824 | ||||||||
\(651\) | 2.97377 | − | 3.72899i | 0.116551 | − | 0.146150i | ||||
\(652\) | 7.35245 | − | 32.2132i | 0.287944 | − | 1.26157i | ||||
\(653\) | 0.413414 | − | 1.81128i | 0.0161781 | − | 0.0708810i | −0.966194 | − | 0.257814i | \(-0.916998\pi\) |
0.982373 | + | 0.186933i | \(0.0598548\pi\) | |||||||
\(654\) | −0.143682 | + | 0.180171i | −0.00561839 | + | 0.00704524i | ||||
\(655\) | 1.31371 | 0.0513308 | ||||||||
\(656\) | 23.3533 | − | 29.2842i | 0.911795 | − | 1.14335i | ||||
\(657\) | 10.1933 | − | 4.90883i | 0.397678 | − | 0.191512i | ||||
\(658\) | 3.82956 | + | 4.80212i | 0.149292 | + | 0.187206i | ||||
\(659\) | 7.22362 | + | 9.05813i | 0.281392 | + | 0.352855i | 0.902361 | − | 0.430980i | \(-0.141832\pi\) |
−0.620969 | + | 0.783835i | \(0.713261\pi\) | |||||||
\(660\) | 1.64736 | + | 0.793325i | 0.0641232 | + | 0.0308801i | ||||
\(661\) | −2.37792 | + | 10.4184i | −0.0924905 | + | 0.405227i | −0.999887 | − | 0.0150488i | \(-0.995210\pi\) |
0.907396 | + | 0.420276i | \(0.138067\pi\) | |||||||
\(662\) | −0.0381786 | − | 0.167271i | −0.00148385 | − | 0.00650118i | ||||
\(663\) | −3.29471 | + | 1.58665i | −0.127956 | + | 0.0616204i | ||||
\(664\) | −5.22471 | − | 2.51609i | −0.202758 | − | 0.0976431i | ||||
\(665\) | 3.77631 | + | 16.5451i | 0.146439 | + | 0.641591i | ||||
\(666\) | 4.68629 | 0.181590 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 16.1421 | 0.624558 | ||||||||
\(669\) | −0.813727 | − | 3.56517i | −0.0314605 | − | 0.137837i | ||||
\(670\) | −2.11110 | − | 1.01665i | −0.0815590 | − | 0.0392767i | ||||
\(671\) | −1.80194 | + | 0.867767i | −0.0695630 | + | 0.0334998i | ||||
\(672\) | 1.15078 | + | 5.04191i | 0.0443924 | + | 0.194496i | ||||
\(673\) | −5.25759 | + | 23.0350i | −0.202665 | + | 0.887935i | 0.766640 | + | 0.642077i | \(0.221927\pi\) |
−0.969306 | + | 0.245858i | \(0.920930\pi\) | |||||||
\(674\) | 6.64247 | + | 3.19884i | 0.255858 | + | 0.123215i | ||||
\(675\) | −6.02095 | − | 7.55003i | −0.231746 | − | 0.290601i | ||||
\(676\) | 11.0089 | + | 13.8047i | 0.423418 | + | 0.530949i | ||||
\(677\) | 19.8213 | − | 9.54544i | 0.761795 | − | 0.366861i | −0.0123051 | − | 0.999924i | \(-0.503917\pi\) |
0.774100 | + | 0.633063i | \(0.218203\pi\) | |||||||
\(678\) | −0.996324 | + | 1.24935i | −0.0382636 | + | 0.0479810i | ||||
\(679\) | −35.3137 | −1.35522 | ||||||||
\(680\) | −4.77397 | + | 5.98637i | −0.183073 | + | 0.229567i | ||||
\(681\) | 1.85652 | − | 8.13397i | 0.0711422 | − | 0.311694i | ||||
\(682\) | 0.905898 | − | 3.96900i | 0.0346886 | − | 0.151981i | ||||
\(683\) | −8.08701 | + | 10.1408i | −0.309441 | + | 0.388027i | −0.912097 | − | 0.409974i | \(-0.865538\pi\) |
0.602656 | + | 0.798001i | \(0.294109\pi\) | |||||||
\(684\) | 31.0294 | 1.18644 | ||||||||
\(685\) | −7.48188 | + | 9.38198i | −0.285868 | + | 0.358467i | ||||
\(686\) | 6.33330 | − | 3.04996i | 0.241807 | − | 0.116448i | ||||
\(687\) | 5.29049 | + | 6.63406i | 0.201845 | + | 0.253105i | ||||
\(688\) | 11.9976 | + | 15.0445i | 0.457404 | + | 0.573566i | ||||
\(689\) | 12.3309 | + | 5.93826i | 0.469771 | + | 0.226230i | ||||
\(690\) | 0.292328 | − | 1.28077i | 0.0111287 | − | 0.0487581i | ||||
\(691\) | −10.6810 | − | 46.7965i | −0.406325 | − | 1.78022i | −0.600887 | − | 0.799334i | \(-0.705186\pi\) |
0.194562 | − | 0.980890i | \(-0.437671\pi\) | |||||||
\(692\) | 38.9713 | − | 18.7676i | 1.48146 | − | 0.713436i | ||||
\(693\) | 17.4011 | + | 8.37990i | 0.661011 | + | 0.318326i | ||||
\(694\) | 1.33513 | + | 5.84957i | 0.0506807 | + | 0.222047i | ||||
\(695\) | −14.0000 | −0.531050 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −60.2843 | −2.28343 | ||||||||
\(698\) | −2.13304 | − | 9.34545i | −0.0807367 | − | 0.353731i | ||||
\(699\) | −1.60985 | − | 0.775262i | −0.0608900 | − | 0.0293231i | ||||
\(700\) | −18.6377 | + | 8.97545i | −0.704439 | + | 0.339240i | ||||
\(701\) | −4.92054 | − | 21.5583i | −0.185846 | − | 0.814245i | −0.978776 | − | 0.204932i | \(-0.934303\pi\) |
0.792930 | − | 0.609313i | \(-0.208555\pi\) | |||||||
\(702\) | −0.406863 | + | 1.78258i | −0.0153561 | + | 0.0672793i | ||||
\(703\) | 21.6233 | + | 10.4132i | 0.815536 | + | 0.392742i | ||||
\(704\) | −6.27921 | − | 7.87388i | −0.236657 | − | 0.296758i | ||||
\(705\) | 1.35395 | + | 1.69780i | 0.0509928 | + | 0.0639430i | ||||
\(706\) | 2.60137 | − | 1.25275i | 0.0979038 | − | 0.0471480i | ||||
\(707\) | −24.0838 | + | 30.2001i | −0.905765 | + | 1.13579i | ||||
\(708\) | 5.79899 | 0.217939 | ||||||||
\(709\) | 0.534870 | − | 0.670705i | 0.0200875 | − | 0.0251889i | −0.771686 | − | 0.636003i | \(-0.780586\pi\) |
0.791774 | + | 0.610814i | \(0.209158\pi\) | |||||||
\(710\) | −0.292328 | + | 1.28077i | −0.0109709 | + | 0.0480665i | ||||
\(711\) | 0.260699 | − | 1.14220i | 0.00977699 | − | 0.0428358i | ||||
\(712\) | −4.43469 | + | 5.56093i | −0.166197 | + | 0.208405i | ||||
\(713\) | 31.1716 | 1.16738 | ||||||||
\(714\) | 1.46093 | − | 1.83195i | 0.0546738 | − | 0.0685588i | ||||
\(715\) | 3.97707 | − | 1.91526i | 0.148734 | − | 0.0716265i | ||||
\(716\) | −11.9533 | − | 14.9889i | −0.446715 | − | 0.560163i | ||||
\(717\) | 2.15468 | + | 2.70189i | 0.0804681 | + | 0.100904i | ||||
\(718\) | −6.74401 | − | 3.24774i | −0.251684 | − | 0.121205i | ||||
\(719\) | −1.81180 | + | 7.93800i | −0.0675686 | + | 0.296037i | −0.997410 | − | 0.0719227i | \(-0.977087\pi\) |
0.929842 | + | 0.367960i | \(0.119944\pi\) | |||||||
\(720\) | −1.88815 | − | 8.27254i | −0.0703673 | − | 0.308299i | ||||
\(721\) | −2.11110 | + | 1.01665i | −0.0786215 | + | 0.0378621i | ||||
\(722\) | −6.34429 | − | 3.05525i | −0.236110 | − | 0.113705i | ||||
\(723\) | 0.397600 | + | 1.74200i | 0.0147869 | + | 0.0647856i | ||||
\(724\) | 26.1716 | 0.972659 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.887302 | 0.0329309 | ||||||||
\(727\) | 4.74275 | + | 20.7793i | 0.175899 | + | 0.770663i | 0.983496 | + | 0.180929i | \(0.0579103\pi\) |
−0.807598 | + | 0.589734i | \(0.799233\pi\) | |||||||
\(728\) | 7.38885 | + | 3.55828i | 0.273849 | + | 0.131879i | ||||
\(729\) | 16.3720 | − | 7.88435i | 0.606371 | − | 0.292013i | ||||
\(730\) | 0.368685 | + | 1.61531i | 0.0136456 | + | 0.0597854i | ||||
\(731\) | 6.89160 | − | 30.1941i | 0.254895 | − | 1.11677i | ||||
\(732\) | −0.565283 | − | 0.272226i | −0.0208935 | − | 0.0100618i | ||||
\(733\) | 30.7099 | + | 38.5090i | 1.13430 | + | 1.42236i | 0.891928 | + | 0.452177i | \(0.149352\pi\) |
0.242367 | + | 0.970185i | \(0.422076\pi\) | |||||||
\(734\) | 4.64864 | + | 5.82921i | 0.171585 | + | 0.215160i | ||||
\(735\) | −0.373194 | + | 0.179721i | −0.0137655 | + | 0.00662909i | ||||
\(736\) | −21.0733 | + | 26.4251i | −0.776773 | + | 0.974043i | ||||
\(737\) | −13.6569 | −0.503057 | ||||||||
\(738\) | −9.12005 | + | 11.4362i | −0.335714 | + | 0.420971i | ||||
\(739\) | 2.24102 | − | 9.81857i | 0.0824374 | − | 0.361182i | −0.916837 | − | 0.399261i | \(-0.869267\pi\) |
0.999275 | + | 0.0380792i | \(0.0121239\pi\) | |||||||
\(740\) | 1.62745 | − | 7.13034i | 0.0598264 | − | 0.262116i | ||||
\(741\) | −2.83323 | + | 3.55276i | −0.104081 | + | 0.130514i | ||||
\(742\) | −8.76955 | −0.321940 | ||||||||
\(743\) | 7.69583 | − | 9.65026i | 0.282332 | − | 0.354034i | −0.620362 | − | 0.784315i | \(-0.713014\pi\) |
0.902695 | + | 0.430282i | \(0.141586\pi\) | |||||||
\(744\) | 2.40928 | − | 1.16025i | 0.0883285 | − | 0.0425367i | ||||
\(745\) | 1.35395 | + | 1.69780i | 0.0496050 | + | 0.0622027i | ||||
\(746\) | −0.952014 | − | 1.19379i | −0.0348557 | − | 0.0437077i | ||||
\(747\) | −9.31885 | − | 4.48772i | −0.340959 | − | 0.164197i | ||||
\(748\) | −4.74275 | + | 20.7793i | −0.173412 | + | 0.759768i | ||||
\(749\) | 5.77244 | + | 25.2907i | 0.210920 | + | 0.924103i | ||||
\(750\) | 1.39124 | − | 0.669984i | 0.0508008 | − | 0.0244644i | ||||
\(751\) | −2.42027 | − | 1.16554i | −0.0883167 | − | 0.0425311i | 0.389204 | − | 0.921152i | \(-0.372750\pi\) |
−0.477521 | + | 0.878621i | \(0.658464\pi\) | |||||||
\(752\) | −3.49979 | − | 15.3336i | −0.127624 | − | 0.559159i | ||||
\(753\) | −2.45584 | −0.0894959 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −14.1421 | −0.514685 | ||||||||
\(756\) | 2.77824 | + | 12.1722i | 0.101043 | + | 0.442700i | ||||
\(757\) | −38.2779 | − | 18.4337i | −1.39123 | − | 0.669983i | −0.419872 | − | 0.907584i | \(-0.637925\pi\) |
−0.971363 | + | 0.237600i | \(0.923639\pi\) | |||||||
\(758\) | −10.0652 | + | 4.84716i | −0.365586 | + | 0.176057i | ||||
\(759\) | −1.70381 | − | 7.46488i | −0.0618444 | − | 0.270958i | ||||
\(760\) | −2.11722 | + | 9.27616i | −0.0767998 | + | 0.336482i | ||||
\(761\) | 30.2707 | + | 14.5776i | 1.09731 | + | 0.528438i | 0.892813 | − | 0.450428i | \(-0.148729\pi\) |
0.204501 | + | 0.978866i | \(0.434443\pi\) | |||||||
\(762\) | 1.67488 | + | 2.10023i | 0.0606743 | + | 0.0760832i | ||||
\(763\) | 2.36863 | + | 2.97017i | 0.0857502 | + | 0.107527i | ||||
\(764\) | 4.42528 | − | 2.13110i | 0.160101 | − | 0.0771006i | ||||
\(765\) | −8.51491 | + | 10.6774i | −0.307857 | + | 0.386041i | ||||
\(766\) | −8.48528 | −0.306586 | ||||||||
\(767\) | 8.72886 | − | 10.9456i | 0.315181 | − | 0.395224i | ||||
\(768\) | 0.365971 | − | 1.60343i | 0.0132059 | − | 0.0578586i | ||||
\(769\) | −2.91785 | + | 12.7839i | −0.105220 | + | 0.461001i | 0.894678 | + | 0.446713i | \(0.147405\pi\) |
−0.999898 | + | 0.0142880i | \(0.995452\pi\) | |||||||
\(770\) | −1.76350 | + | 2.21135i | −0.0635520 | + | 0.0796916i | ||||
\(771\) | 9.87006 | 0.355461 | ||||||||
\(772\) | 12.3445 | − | 15.4795i | 0.444287 | − | 0.557118i | ||||
\(773\) | 32.8721 | − | 15.8304i | 1.18233 | − | 0.569379i | 0.263739 | − | 0.964594i | \(-0.415044\pi\) |
0.918589 | + | 0.395215i | \(0.129330\pi\) | |||||||
\(774\) | −4.68535 | − | 5.87524i | −0.168411 | − | 0.211181i | ||||
\(775\) | 10.1531 | + | 12.7316i | 0.364709 | + | 0.457331i | ||||
\(776\) | −17.8383 | − | 8.59046i | −0.640357 | − | 0.308380i | ||||
\(777\) | −1.04280 | + | 4.56880i | −0.0374102 | + | 0.163905i | ||||
\(778\) | −3.40762 | − | 14.9298i | −0.122169 | − | 0.535258i | ||||
\(779\) | −67.4931 | + | 32.5030i | −2.41819 | + | 1.16454i | ||||
\(780\) | 1.24764 | + | 0.600832i | 0.0446727 | + | 0.0215132i | ||||
\(781\) | 1.70381 | + | 7.46488i | 0.0609671 | + | 0.267114i | ||||
\(782\) | 15.3137 | 0.547617 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | −1.88815 | − | 8.27254i | −0.0673911 | − | 0.295260i | ||||
\(786\) | −0.203075 | − | 0.0977960i | −0.00724346 | − | 0.00348827i | ||||
\(787\) | −37.9157 | + | 18.2592i | −1.35155 | + | 0.650872i | −0.962735 | − | 0.270445i | \(-0.912829\pi\) |
−0.388814 | + | 0.921316i | \(0.627115\pi\) | |||||||
\(788\) | 0.813727 | + | 3.56517i | 0.0289878 | + | 0.127004i | ||||
\(789\) | 1.03625 | − | 4.54010i | 0.0368914 | − | 0.161632i | ||||
\(790\) | 0.154582 | + | 0.0744427i | 0.00549977 | + | 0.00264855i | ||||
\(791\) | 16.4247 | + | 20.5959i | 0.583994 | + | 0.732306i | ||||
\(792\) | 6.75141 | + | 8.46601i | 0.239901 | + | 0.300826i | ||||
\(793\) | −1.36471 | + | 0.657212i | −0.0484624 | + | 0.0233383i | ||||
\(794\) | 7.91738 | − | 9.92808i | 0.280977 | − | 0.352334i | ||||
\(795\) | −3.10051 | −0.109964 | ||||||||
\(796\) | −18.7933 | + | 23.5661i | −0.666111 | + | 0.835277i | ||||
\(797\) | 12.4033 | − | 54.3426i | 0.439349 | − | 1.92491i | 0.0642348 | − | 0.997935i | \(-0.479539\pi\) |
0.375114 | − | 0.926979i | \(-0.377604\pi\) | |||||||
\(798\) | 0.647912 | − | 2.83869i | 0.0229358 | − | 0.100488i | ||||
\(799\) | −15.7828 | + | 19.7911i | −0.558357 | + | 0.700157i | ||||
\(800\) | −17.6569 | −0.624264 | ||||||||
\(801\) | −7.90977 | + | 9.91854i | −0.279478 | + | 0.350454i | ||||
\(802\) | 2.74041 | − | 1.31971i | 0.0967674 | − | 0.0466007i | ||||
\(803\) | 6.02095 | + | 7.55003i | 0.212475 | + | 0.266435i | ||||
\(804\) | −2.67120 | − | 3.34958i | −0.0942059 | − | 0.118131i | ||||
\(805\) | −19.5122 | − | 9.39656i | −0.687713 | − | 0.331185i | ||||
\(806\) | 0.686090 | − | 3.00596i | 0.0241665 | − | 0.105880i | ||||
\(807\) | −1.79327 | − | 7.85682i | −0.0631260 | − | 0.276573i | ||||
\(808\) | −19.5122 | + | 9.39656i | −0.686435 | + | 0.330570i | ||||
\(809\) | 18.2755 | + | 8.80102i | 0.642532 | + | 0.309427i | 0.726629 | − | 0.687030i | \(-0.241086\pi\) |
−0.0840964 | + | 0.996458i | \(0.526800\pi\) | |||||||
\(810\) | 0.689927 | + | 3.02277i | 0.0242416 | + | 0.106209i | ||||
\(811\) | 5.17157 | 0.181598 | 0.0907992 | − | 0.995869i | \(-0.471058\pi\) | ||||
0.0907992 | + | 0.995869i | \(0.471058\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.02944 | 0.211462 | ||||||||
\(814\) | 0.890084 | + | 3.89971i | 0.0311974 | + | 0.136685i | ||||
\(815\) | 16.2815 | + | 7.84074i | 0.570315 | + | 0.274649i | ||||
\(816\) | −5.40581 | + | 2.60330i | −0.189241 | + | 0.0911338i | ||||
\(817\) | −8.56378 | − | 37.5204i | −0.299609 | − | 1.31267i | ||||
\(818\) | −1.37985 | + | 6.04554i | −0.0482455 | + | 0.211377i | ||||
\(819\) | 13.1788 | + | 6.34660i | 0.460506 | + | 0.221768i | ||||
\(820\) | 14.2333 | + | 17.8480i | 0.497048 | + | 0.623279i | ||||
\(821\) | 9.65492 | + | 12.1069i | 0.336959 | + | 0.422533i | 0.921226 | − | 0.389029i | \(-0.127189\pi\) |
−0.584267 | + | 0.811562i | \(0.698618\pi\) | |||||||
\(822\) | 1.85498 | − | 0.893312i | 0.0646999 | − | 0.0311578i | ||||
\(823\) | 1.42422 | − | 1.78592i | 0.0496452 | − | 0.0622531i | −0.756389 | − | 0.654122i | \(-0.773038\pi\) |
0.806034 | + | 0.591869i | \(0.201610\pi\) | |||||||
\(824\) | −1.31371 | −0.0457652 | ||||||||
\(825\) | 2.49396 | − | 3.12733i | 0.0868285 | − | 0.108880i | ||||
\(826\) | −1.99614 | + | 8.74565i | −0.0694545 | + | 0.304300i | ||||
\(827\) | −2.91514 | + | 12.7720i | −0.101369 | + | 0.444128i | 0.898616 | + | 0.438736i | \(0.144574\pi\) |
−0.999985 | + | 0.00539209i | \(0.998284\pi\) | |||||||
\(828\) | −24.6889 | + | 30.9589i | −0.858000 | + | 1.07590i | ||||
\(829\) | 9.79899 | 0.340333 | 0.170166 | − | 0.985415i | \(-0.445569\pi\) | ||||
0.170166 | + | 0.985415i | \(0.445569\pi\) | |||||||
\(830\) | 0.944412 | − | 1.18425i | 0.0327810 | − | 0.0411061i | ||||
\(831\) | 1.98304 | − | 0.954983i | 0.0687910 | − | 0.0331280i | ||||
\(832\) | −4.75562 | − | 5.96335i | −0.164871 | − | 0.206742i | ||||
\(833\) | −3.01048 | − | 3.77502i | −0.104307 | − | 0.130797i | ||||
\(834\) | 2.16415 | + | 1.04220i | 0.0749382 | + | 0.0360883i | ||||
\(835\) | −1.96451 | + | 8.60708i | −0.0679847 | + | 0.297860i | ||||
\(836\) | 5.89353 | + | 25.8212i | 0.203832 | + | 0.893046i | ||||
\(837\) | 8.85511 | − | 4.26439i | 0.306077 | − | 0.147399i | ||||
\(838\) | 9.88414 | + | 4.75995i | 0.341442 | + | 0.164430i | ||||
\(839\) | 4.91127 | + | 21.5177i | 0.169556 | + | 0.742874i | 0.986176 | + | 0.165698i | \(0.0529878\pi\) |
−0.816620 | + | 0.577175i | \(0.804155\pi\) | |||||||
\(840\) | −1.85786 | −0.0641024 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −10.4020 | −0.358477 | ||||||||
\(843\) | −0.181629 | − | 0.795769i | −0.00625564 | − | 0.0274077i | ||||
\(844\) | 28.6389 | + | 13.7918i | 0.985792 | + | 0.474732i | ||||
\(845\) | −8.70053 | + | 4.18995i | −0.299307 | + | 0.144139i | ||||
\(846\) | 1.36675 | + | 5.98814i | 0.0469900 | + | 0.205876i | ||||
\(847\) | 3.25491 | − | 14.2607i | 0.111840 | − | 0.490003i | ||||
\(848\) | 20.2320 | + | 9.74323i | 0.694770 | + | 0.334584i | ||||
\(849\) | −0.0886201 | − | 0.111126i | −0.00304143 | − | 0.00381384i | ||||
\(850\) | 4.98792 | + | 6.25465i | 0.171084 | + | 0.214533i | ||||
\(851\) | −27.5943 | + | 13.2887i | −0.945922 | + | 0.455532i | ||||
\(852\) | −1.49764 | + | 1.87798i | −0.0513081 | + | 0.0643384i | ||||
\(853\) | 10.9706 | 0.375625 | 0.187812 | − | 0.982205i | \(-0.439860\pi\) | ||||
0.187812 | + | 0.982205i | \(0.439860\pi\) | |||||||
\(854\) | 0.605136 | − | 0.758817i | 0.0207073 | − | 0.0259662i | ||||
\(855\) | −3.77631 | + | 16.5451i | −0.129147 | + | 0.565830i | ||||
\(856\) | −3.23638 | + | 14.1795i | −0.110617 | + | 0.484645i | ||||
\(857\) | −7.37490 | + | 9.24784i | −0.251922 | + | 0.315900i | −0.891671 | − | 0.452684i | \(-0.850467\pi\) |
0.639749 | + | 0.768584i | \(0.279038\pi\) | |||||||
\(858\) | −0.757359 | −0.0258558 | ||||||||
\(859\) | −3.57130 | + | 4.47827i | −0.121851 | + | 0.152797i | −0.839015 | − | 0.544108i | \(-0.816868\pi\) |
0.717164 | + | 0.696904i | \(0.245440\pi\) | |||||||
\(860\) | −10.5665 | + | 5.08855i | −0.360314 | + | 0.173518i | ||||
\(861\) | −9.12005 | − | 11.4362i | −0.310810 | − | 0.389744i | ||||
\(862\) | 2.15468 | + | 2.70189i | 0.0733888 | + | 0.0920267i | ||||
\(863\) | 40.6451 | + | 19.5737i | 1.38358 | + | 0.666295i | 0.969759 | − | 0.244064i | \(-0.0784809\pi\) |
0.413818 | + | 0.910360i | \(0.364195\pi\) | |||||||
\(864\) | −2.37137 | + | 10.3897i | −0.0806758 | + | 0.353464i | ||||
\(865\) | 5.26415 | + | 23.0637i | 0.178986 | + | 0.784190i | ||||
\(866\) | 5.45886 | − | 2.62885i | 0.185500 | − | 0.0893319i | ||||
\(867\) | 2.35624 | + | 1.13470i | 0.0800219 | + | 0.0385365i | ||||
\(868\) | −4.68492 | − | 20.5260i | −0.159016 | − | 0.696696i | ||||
\(869\) | 1.00000 | 0.0339227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.3431 | −0.350464 | ||||||||
\(872\) | 0.473957 | + | 2.07654i | 0.0160502 | + | 0.0703205i | ||||
\(873\) | −31.8166 | − | 15.3220i | −1.07683 | − | 0.518573i | ||||
\(874\) | 17.1449 | − | 8.25656i | 0.579936 | − | 0.279282i | ||||
\(875\) | −5.66446 | − | 24.8176i | −0.191494 | − | 0.838988i | ||||
\(876\) | −0.674113 | + | 2.95348i | −0.0227762 | + | 0.0997889i | ||||
\(877\) | 7.98066 | + | 3.84328i | 0.269488 | + | 0.129778i | 0.563748 | − | 0.825947i | \(-0.309359\pi\) |
−0.294260 | + | 0.955725i | \(0.595073\pi\) | |||||||
\(878\) | −3.01048 | − | 3.77502i | −0.101599 | − | 0.127401i | ||||
\(879\) | 0.944412 | + | 1.18425i | 0.0318542 | + | 0.0399439i | ||||
\(880\) | 6.52539 | − | 3.14246i | 0.219971 | − | 0.105932i | ||||
\(881\) | 8.72886 | − | 10.9456i | 0.294083 | − | 0.368768i | −0.612737 | − | 0.790287i | \(-0.709931\pi\) |
0.906820 | + | 0.421519i | \(0.138503\pi\) | |||||||
\(882\) | −1.17157 | −0.0394489 | ||||||||
\(883\) | −28.9464 | + | 36.2976i | −0.974124 | + | 1.22151i | 0.00103381 | + | 0.999999i | \(0.499671\pi\) |
−0.975157 | + | 0.221513i | \(0.928901\pi\) | |||||||
\(884\) | −3.59196 | + | 15.7374i | −0.120811 | + | 0.529307i | ||||
\(885\) | −0.705741 | + | 3.09205i | −0.0237232 | + | 0.103938i | ||||
\(886\) | −9.20867 | + | 11.5473i | −0.309371 | + | 0.387939i | ||||
\(887\) | 36.8995 | 1.23896 | 0.619482 | − | 0.785011i | \(-0.287343\pi\) | ||||
0.619482 | + | 0.785011i | \(0.287343\pi\) | |||||||
\(888\) | −1.63817 | + | 2.05420i | −0.0549733 | + | 0.0689343i | ||||
\(889\) | 39.8987 | − | 19.2142i | 1.33816 | − | 0.644424i | ||||
\(890\) | −1.15836 | − | 1.45254i | −0.0388283 | − | 0.0486891i | ||||
\(891\) | 11.2671 | + | 14.1285i | 0.377463 | + | 0.473324i | ||||
\(892\) | −14.5436 | − | 7.00381i | −0.486954 | − | 0.234505i | ||||
\(893\) | −6.99958 | + | 30.6672i | −0.234232 | + | 1.02624i | ||||
\(894\) | −0.0829075 | − | 0.363242i | −0.00277284 | − | 0.0121486i | ||||
\(895\) | 9.44691 | − | 4.54939i | 0.315775 | − | 0.152069i | ||||
\(896\) | 26.9010 | + | 12.9548i | 0.898700 | + | 0.432791i | ||||
\(897\) | −1.29040 | − | 5.65360i | −0.0430851 | − | 0.188768i | ||||
\(898\) | −0.426407 | −0.0142294 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −20.6863 | −0.689543 | ||||||||
\(901\) | −8.04238 | − | 35.2360i | −0.267931 | − | 1.17388i | ||||
\(902\) | −11.2488 | − | 5.41716i | −0.374546 | − | 0.180372i | ||||
\(903\) | 6.77053 | − | 3.26051i | 0.225309 | − | 0.108503i | ||||
\(904\) | 3.28653 | + | 14.3992i | 0.109309 | + | 0.478912i | ||||
\(905\) | −3.18510 | + | 13.9548i | −0.105876 | + | 0.463874i | ||||
\(906\) | 2.18612 | + | 1.05278i | 0.0726289 | + | 0.0349762i | ||||
\(907\) | −21.3759 | − | 26.8045i | −0.709775 | − | 0.890030i | 0.287936 | − | 0.957650i | \(-0.407031\pi\) |
−0.997711 | + | 0.0676200i | \(0.978459\pi\) | |||||||
\(908\) | −22.9621 | − | 28.7936i | −0.762026 | − | 0.955550i | ||||
\(909\) | −34.8021 | + | 16.7598i | −1.15431 | + | 0.555888i | ||||
\(910\) | −1.33560 | + | 1.67479i | −0.0442747 | + | 0.0555187i | ||||
\(911\) | −46.5563 | −1.54248 | −0.771240 | − | 0.636544i | \(-0.780363\pi\) | ||||
−0.771240 | + | 0.636544i | \(0.780363\pi\) | |||||||
\(912\) | −4.64864 | + | 5.82921i | −0.153932 | + | 0.193025i | ||||
\(913\) | 1.96451 | − | 8.60708i | 0.0650158 | − | 0.284853i | ||||
\(914\) | −3.22328 | + | 14.1221i | −0.106617 | + | 0.467118i | ||||
\(915\) | 0.213948 | − | 0.268282i | 0.00707290 | − | 0.00886913i | ||||
\(916\) | 37.4558 | 1.23758 | ||||||||
\(917\) | −2.31672 | + | 2.90507i | −0.0765048 | + | 0.0959340i | ||||
\(918\) | 4.35026 | − | 2.09498i | 0.143580 | − | 0.0691445i | ||||
\(919\) | −12.5584 | − | 15.7478i | −0.414264 | − | 0.519471i | 0.530295 | − | 0.847813i | \(-0.322081\pi\) |
−0.944559 | + | 0.328343i | \(0.893510\pi\) | |||||||
\(920\) | −7.57050 | − | 9.49310i | −0.249592 | − | 0.312978i | ||||
\(921\) | −6.30678 | − | 3.03719i | −0.207816 | − | 0.100079i | ||||
\(922\) | −1.29040 | + | 5.65360i | −0.0424970 | + | 0.186191i | ||||
\(923\) | 1.29040 | + | 5.65360i | 0.0424739 | + | 0.186090i | ||||
\(924\) | −4.65943 | + | 2.24386i | −0.153284 | + | 0.0738176i | ||||
\(925\) | −14.4155 | − | 6.94214i | −0.473979 | − | 0.228256i | ||||
\(926\) | 2.39645 | + | 10.4995i | 0.0787523 | + | 0.345036i | ||||
\(927\) | −2.34315 | −0.0769590 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 41.3137 | 1.35546 | 0.677729 | − | 0.735311i | \(-0.262964\pi\) | ||||
0.677729 | + | 0.735311i | \(0.262964\pi\) | |||||||
\(930\) | 0.155427 | + | 0.680972i | 0.00509667 | + | 0.0223300i | ||||
\(931\) | −5.40581 | − | 2.60330i | −0.177168 | − | 0.0853198i | ||||
\(932\) | −7.10621 | + | 3.42217i | −0.232772 | + | 0.112097i | ||||
\(933\) | 2.33319 | + | 10.2224i | 0.0763854 | + | 0.334666i | ||||
\(934\) | −2.98223 | + | 13.0660i | −0.0975815 | + | 0.427533i | ||||
\(935\) | −10.5025 | − | 5.05772i | −0.343467 | − | 0.165405i | ||||
\(936\) | 5.11325 | + | 6.41181i | 0.167132 | + | 0.209576i | ||||
\(937\) | 17.8489 | + | 22.3818i | 0.583098 | + | 0.731182i | 0.982638 | − | 0.185534i | \(-0.0594014\pi\) |
−0.399540 | + | 0.916716i | \(0.630830\pi\) | |||||||
\(938\) | 5.97110 | − | 2.87553i | 0.194963 | − | 0.0938893i | ||||
\(939\) | −1.07734 | + | 1.35094i | −0.0351577 | + | 0.0440864i | ||||
\(940\) | 9.58579 | 0.312654 | ||||||||
\(941\) | 14.0896 | − | 17.6678i | 0.459308 | − | 0.575954i | −0.497209 | − | 0.867631i | \(-0.665642\pi\) |
0.956517 | + | 0.291677i | \(0.0942131\pi\) | |||||||
\(942\) | −0.323956 | + | 1.41934i | −0.0105551 | + | 0.0462447i | ||||
\(943\) | 21.2726 | − | 93.2011i | 0.692730 | − | 3.03505i | ||||
\(944\) | 14.3219 | − | 17.9591i | 0.466139 | − | 0.584519i | ||||
\(945\) | −6.82843 | −0.222129 | ||||||||
\(946\) | 3.99920 | − | 5.01483i | 0.130025 | − | 0.163046i | ||||
\(947\) | −35.4845 | + | 17.0884i | −1.15309 | + | 0.555299i | −0.909960 | − | 0.414695i | \(-0.863888\pi\) |
−0.243129 | + | 0.969994i | \(0.578174\pi\) | |||||||
\(948\) | 0.195594 | + | 0.245267i | 0.00635260 | + | 0.00796591i | ||||
\(949\) | 4.56002 | + | 5.71809i | 0.148025 | + | 0.185617i | ||||
\(950\) | 8.95664 | + | 4.31329i | 0.290592 | + | 0.139942i | ||||
\(951\) | 1.79327 | − | 7.85682i | 0.0581507 | − | 0.254775i | ||||
\(952\) | −4.81910 | − | 21.1139i | −0.156188 | − | 0.684305i | ||||
\(953\) | −8.67400 | + | 4.17718i | −0.280979 | + | 0.135312i | −0.569066 | − | 0.822292i | \(-0.692695\pi\) |
0.288087 | + | 0.957604i | \(0.406981\pi\) | |||||||
\(954\) | −7.90109 | − | 3.80497i | −0.255807 | − | 0.123190i | ||||
\(955\) | 0.597756 | + | 2.61894i | 0.0193429 | + | 0.0847469i | ||||
\(956\) | 15.2548 | 0.493377 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.34315 | −0.172629 | ||||||||
\(959\) | −7.55261 | − | 33.0902i | −0.243887 | − | 1.06854i | ||||
\(960\) | 1.55680 | + | 0.749717i | 0.0502456 | + | 0.0241970i | ||||
\(961\) | 12.9977 | − | 6.25938i | 0.419282 | − | 0.201916i | ||||
\(962\) | 0.674113 | + | 2.95348i | 0.0217343 | + | 0.0952241i | ||||
\(963\) | −5.77244 | + | 25.2907i | −0.186014 | + | 0.814982i | ||||
\(964\) | 7.10621 | + | 3.42217i | 0.228876 | + | 0.110221i | ||||
\(965\) | 6.75141 | + | 8.46601i | 0.217336 | + | 0.272530i | ||||
\(966\) | 2.31672 | + | 2.90507i | 0.0745392 | + | 0.0934692i | ||||
\(967\) | 24.1075 | − | 11.6096i | 0.775246 | − | 0.373339i | −0.00405213 | − | 0.999992i | \(-0.501290\pi\) |
0.779299 | + | 0.626653i | \(0.215576\pi\) | |||||||
\(968\) | 5.11325 | − | 6.41181i | 0.164346 | − | 0.206083i | ||||
\(969\) | 12.0000 | 0.385496 | ||||||||
\(970\) | 3.22442 | − | 4.04330i | 0.103530 | − | 0.129822i | ||||
\(971\) | 0.966441 | − | 4.23425i | 0.0310146 | − | 0.135884i | −0.957050 | − | 0.289922i | \(-0.906371\pi\) |
0.988065 | + | 0.154038i | \(0.0492279\pi\) | |||||||
\(972\) | −4.20825 | + | 18.4375i | −0.134980 | + | 0.591384i | ||||
\(973\) | 24.6889 | − | 30.9589i | 0.791491 | − | 0.992498i | ||||
\(974\) | −11.7990 | −0.378064 | ||||||||
\(975\) | 1.88882 | − | 2.36851i | 0.0604908 | − | 0.0758530i | ||||
\(976\) | −2.23916 | + | 1.07832i | −0.0716738 | + | 0.0345163i | ||||
\(977\) | 26.0796 | + | 32.7028i | 0.834360 | + | 1.04625i | 0.998212 | + | 0.0597697i | \(0.0190366\pi\) |
−0.163852 | + | 0.986485i | \(0.552392\pi\) | |||||||
\(978\) | −1.93313 | − | 2.42407i | −0.0618148 | − | 0.0775133i | ||||
\(979\) | −9.75608 | − | 4.69828i | −0.311806 | − | 0.150158i | ||||
\(980\) | −0.406863 | + | 1.78258i | −0.0129968 | + | 0.0569426i | ||||
\(981\) | 0.845355 | + | 3.70374i | 0.0269901 | + | 0.118251i | ||||
\(982\) | 4.76096 | − | 2.29276i | 0.151928 | − | 0.0731649i | ||||
\(983\) | −28.7139 | − | 13.8279i | −0.915832 | − | 0.441042i | −0.0842508 | − | 0.996445i | \(-0.526850\pi\) |
−0.831581 | + | 0.555403i | \(0.812564\pi\) | |||||||
\(984\) | −1.82490 | − | 7.99539i | −0.0581756 | − | 0.254884i | ||||
\(985\) | −2.00000 | −0.0637253 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −6.14214 | −0.195506 | ||||||||
\(988\) | 4.46352 | + | 19.5560i | 0.142003 | + | 0.622158i | ||||
\(989\) | 44.2490 | + | 21.3092i | 1.40704 | + | 0.677593i | ||||
\(990\) | −2.54832 | + | 1.22721i | −0.0809911 | + | 0.0390032i | ||||
\(991\) | 1.59583 | + | 6.99177i | 0.0506931 | + | 0.222101i | 0.993929 | − | 0.110022i | \(-0.0350922\pi\) |
−0.943236 | + | 0.332123i | \(0.892235\pi\) | |||||||
\(992\) | 3.99883 | − | 17.5200i | 0.126963 | − | 0.556261i | ||||
\(993\) | 0.154582 | + | 0.0744427i | 0.00490551 | + | 0.00236237i | ||||
\(994\) | −2.31672 | − | 2.90507i | −0.0734819 | − | 0.0921433i | ||||
\(995\) | −10.2784 | − | 12.8887i | −0.325847 | − | 0.408600i | ||||
\(996\) | 2.49528 | − | 1.20166i | 0.0790660 | − | 0.0380762i | ||||
\(997\) | −17.6350 | + | 22.1135i | −0.558505 | + | 0.700343i | −0.978281 | − | 0.207285i | \(-0.933537\pi\) |
0.419776 | + | 0.907628i | \(0.362109\pi\) | |||||||
\(998\) | −6.20101 | −0.196290 | ||||||||
\(999\) | −6.02095 | + | 7.55003i | −0.190494 | + | 0.238872i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))